One would least expect to find fossils in the surface bedrock in the Adirondack Mountains region of New York State.
This region is known for having some of the oldest rocks in North America, dating back over a billion years. These rocks were formed through volcanic activity and mountain-building processes that occurred long before the evolution of complex life forms.
As a result, the rocks in the Adirondack Mountains are generally not rich in fossils, especially those of plants and animals that evolved much later in Earth's history.
In contrast, other regions of New York State, such as the Hudson Valley and the Finger Lakes region, have rocks that are more conducive to fossil preservation. These regions were covered by shallow seas at various times in the past, allowing for the accumulation of sediment and the preservation of fossils of marine organisms.
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Here are the numbers of calls received at a customer support service during 8 randomly chosen, hour-long intervals.
9, 14, 23, 14, 19, 9,5,7
Send data to calculator
(a) What is the median of this data set? If your answer is not 0
an integer, round your answer to one decimal place.
(b) What is the mean of this data set? If your answer is not an
integer, round your answer to one decimal place.
(c) How many modes does the data set have, and what are
their values? Indicate the number of modes by clicking in the
appropriate circle, and then indicate the value(s) of the
mode(s), if applicable.
0
OO
zero modes
O one mode: 0
two modes:
and
a) The median of the dataset is: 11.5
b) The mean of the dataset is: 12.5
c) The mode of the dataset is: 9 and 14
How to find the mean, median or mode?The term average mean is defined as the finding of the average of a sample data. Thus, the average is finding the central value in math, which tells us that mean is finding the central value in statistics.
The numbers arranged in ascending order is:
5, 7, 9, 9, 14, 14, 19, 23
a) The median is defined as the middle term of the distribution when arranged in ascending or descending order. Thus, the median here is:
(9 + 14)/2 = 11.5
b) The mean of the data is expressed as:
(5 + 7 + 9 + 9 + 14 + 14 + 19 + 23)/8
= 12.5
c) The mode is the most frequently occurring term in the data.
In this case, the mode is 9 and 14
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I need help on this question please help.
The density of the wooden cube is 0.638 g/cm³. The type of wood the cube is made of is ash.
How to find the density of object?The wooden cube has a edge length of 6 centimetres and a mass of 137.8 grams.
The density of the wood can be calculated as follows:
density = mass / volume
volume of the wood = l³
where
l = lengthTherefore,
volume of the wood = 6³
volume of the wood = 216 cm³
density of the wood = 137.8 / 216
density of the wood = 0.63796296296
density of the wood = 0.638 g/cm³
Therefore, the cube wood is made of ash.
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Alleen can read 1. 5 pages for every page her friend can read. Alleen's mom was very excited and she said to Alleen: "So, if your friend reads 20 pages, you can read 25 in the same time period!" Is Alleen's mom correct?
Alleen's mom is not correct because if her friend reads 20 pages, she can read 30 pages in the same time period.
To answer this question, we need to use the terms "ratio" and "proportion". The given ratio of Alleen's reading speed to her friend's speed is 1.5:1. If Alleen's friend reads 20 pages, we can use proportion to find how many pages Alleen can read:
1.5 / 1 = x / 20
To solve for x (the number of pages Alleen reads), we can cross-multiply:
1.5 * 20 = 1 * x
30 = x
So, if Alleen's friend reads 20 pages, Alleen can read 30 pages in the same time period.
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A buyer purchases a 2022 Jeep Grand Wagoneer Series III for $109,000 and a 2023 Cadillac Escalade V for $149,000. How much money will he spend a year for car payments?
The amount of money that he will spend a year for car payment would be = $258,000
How to calculate the total amount of money that will be spent of car payments?To calculate the amount of money that will be used for car payment the following is carried out.
The cost for purchasing 2022 Jeep Grand Wagoneer Series III = $109,000
The cost for purchasing a 2023 Cadillac Escalade V = $149,000
The total amount spent of car payments = 109000+149000
= $258,000
Therefore, the buyer will spend up to $258,000 a year for car payment when the price for both cars he bought is being summed up.
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Using composition of functions, determine if the to functions are inverses of each othr. f(x)= square root of x, +4, x>0. g(x) x2-4, x>2.
Using the composition of functions, if the two functions are inverses of each other, therefore, we cannot conclude if f(x) and g(x) are inverses of each other.
To check if the two functions f(x) and g(x) are inverses of each other, we need to verify if their composition f(g(x)) and g(f(x)) results in the identity function f(x) = x.
Let's first find the composition f(g(x)):
f(g(x)) = f(x^2 - 4)
= sqrt(x^2 - 4) + 4
Now, let's find the composition g(f(x)):
g(f(x)) = g(sqrt(x) + 4)
= (sqrt(x) + 4)^2 - 4
= x + 16 + 8sqrt(x)
To check if f(x) and g(x) are inverses of each other, we need to check if f(g(x)) = x and g(f(x)) = x for all x in the domain of the functions.
For f(g(x)):
f(g(x)) = sqrt(x^2 - 4) + 4
This function is only defined for x > 2, since the square root of a negative number is not real. Therefore, the domain of f(g(x)) is (2, infinity).
For g(f(x)):
g(f(x)) = x + 16 + 8sqrt(x)
This function is only defined for x >= 0, since the square root of a negative number is not real. Therefore, the domain of g(f(x)) is [0, infinity).
Since the domains of f(g(x)) and g(f(x)) do not overlap, we cannot check if they are inverses of each other. Therefore, we cannot conclude if f(x) and g(x) are inverses of each other.
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Consider the function f(x) = 3x^2 +4x - 5 on the closed interval [ - 1,2). Find the exact value of the slope of the secant line connecting ( - 1, f( - 1)) and (2, f(2)). m = ?
The slope of the secant line connecting two points on a curve can be calculated using the formula: slope of secant line = (change in y) / (change in x).
For this problem, the two points are (-1, f(-1)) and (2, f(2)), and we need to find the slope of the secant line connecting them. To do this, we first need to find the y-coordinates of these points by plugging the given x-values into the function f(x) = 3x^2 + 4x - 5. Then we can use the formula for the slope of a secant line to find the slope of the line connecting these two points. The slope of the secant line is an important concept in calculus and is used to approximate the instantaneous rate of change of a function at a particular point.
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Full Term O Question 10 9 pts 5 1 Let f(x) = 3 + 6x? - 153 +3. 2" (a) Compute the first derivative of '(x) = 70 hents (c) On what interval is increasing? interval of increasing = (-2,-5) U (1,60) (d) On what interval is f decreasing? interval of decreasing = (-5,1) **Show work, in detail, on the scrap paper to receive full credit. (b) Compute the second derivative off f''(x) = (e) On what interval is f concave downward? interval of downward concavity = (f) On what interval is f concave upward? interval of upward concavity = **Show work, in detail, on the scrap paper to receive full credit.
Since f''(x) is always 0, f(x) is not concave upward on any interval.
On what interval is f concave upward?
The first derivative of f(x) is f'(x) = 6.
The second derivative of f(x) is f''(x) = 0.
The interval on which f(x) is increasing is when f'(x) > 0, which is when x is in the interval (-2,-5) U (1,60).
The interval on which f(x) is decreasing is when f'(x) < 0, which is when x is in the interval (-5,1).
The interval on which f(x) is concave downward is when f''(x) < 0, which is all values of x.
The interval on which f(x) is concave upward is when f''(x) > 0, which is no values of x.
To find the first derivative of f(x), we need to take the derivative of each term separately. The derivative of 3 is 0, the derivative of 6x is 6, and the derivative of -153 +3.2 is 0. Adding these up gives us f'(x) = 6.
To find the second derivative of f(x), we need to take the derivative of f'(x), which is a constant function. The derivative of a constant function is always 0, so f''(x) = 0.
To determine where f(x) is increasing, we need to find the values of x where f'(x) > 0. Since f'(x) is a constant function, it is always positive, so f(x) is increasing on the interval (-2,-5) U (1,60).
To determine where f(x) is decreasing, we need to find the values of x where f'(x) < 0. Since f'(x) is a constant function, it is always positive, so f(x) is decreasing on the interval (-5,1).
To determine where f(x) is concave downward, we need to find the values of x where f''(x) < 0. Since f''(x) is always 0, f(x) is concave downward on all values of x.
To determine where f(x) is concave upward, we need to find the values of x where f''(x) > 0. Since f''(x) is always 0, f(x) is not concave upward on any interval.
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Juanita is making a ribbon as shown 4 cm 15 cm 3 cm explain two different ways you can find the area of the ribbon then find the area of the ribbon
Answer:
6
Step-by-step explanation:
A=hbb/2=4·3/2=6
To find a triangle's area, use the formula area = 1/2 * base * height. Choose a side to use for the base, and find the height of the triangle from that base. Then, plug in the measurements you have for the base and height into the formula
or
The area of a triangle is the space enclosed within the three sides of a triangle. It is calculated with the help of various formulas depending on the type of triangle and is expressed in square units like, cm2, inches2, and so on.
the gender and age of acme painting company's employees are shown below. age gender 23 female 23 male 24 female 26 female 27 male 28 male 30 male 31 female 33 male 33 female 33 female 34 male 36 male 37 male 38 female 40 female 42 male 44 female if the ceo is selecting one employee at random, what is the chance he will select a male or someone in their 40s? 1/3 1/2 1/18 11/18
The probability to select a male or someone in their 40's for a ceo position is company is equals to the 1/18. So, the option(c) is right answer for the problem.
We have a data of employees' information. It contains gender and age of employees in acme painting company. Randomly one employee is selected. We have to determine chance or probability that a ceo select a male or someone in their 40's. Sample size, n= 18
Probability is defined as chances of occurrence of an event. It is calculated by dividing the favourable response to the possible total outcomes.
Total possible outcomes= 18
number of male in her 40's age = 1
So, probability that select a male or someone in their 40's = 1/18
Hence, required probability is 1/18.
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Complete question:
the above figure completes the question.
the gender and age of acme painting company's employees are shown below. age gender 23 female 23 male 24 female 26 female 27 male 28 male 30 male 31 female 33 male 33 female 33 female 34 male 36 male 37 male 38 female 40 female 42 male 44 female if the ceo is selecting one employee at random, what is the chance he will select a male or someone in their 40s?
a)1/3
b)1/2
c) 1/18
d) 11/18
Find the distance between the pair of points.
(1, 1) and (1, −4)
the distance between the pair of points is
____units.
q2.find the coordinates of the point for the reflection.
(4, 6.2) across the y-axis
the coordinates of the reflection are
The distance between the points (1, 1) and (1, -4) is 5 units and the reflection of the coordinate points is (-4, 6.2).
(a) We need to find the length between the pair of points which are (1, 1) and (1, −4). It can be determined by using the distance formula. The formula to find the distance between two points (x1, y1) and (x2, y2) is given as,
[tex]d = √(x2−x1)²+(y2−y1)²[/tex]
Given data:
The first points are = (1, 1)
second points are =(1, −4)
Substituting the first and second values into the distance formula, we get:
= √(1−1)²+(−4−1)²
= √0+(−5)²
= √25
= 5
Therefore, The distance between the points (1, 1) and (1, -4) is 5 units.
(b )We need to find the reflection of the coordinate point. According to the reflection rule when a point is reflected across the y-axis, the x-coordinate changes sign while the y-coordinate remains the same. The reflected point will be,
= (x, y) = (-x, y).
Given Data:
Coordinate points = (4, 6.2)
According to the rule, it is given as:
= (4, 6.2)
= (-4, 6.2)
Therefore, the reflection of the coordinate points is (-4, 6.2)
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Find the mass and center of mass of the lamina that occupies the region D and has the given density function p. D is bounded by y = e, y = 0, x = 0, and x = 1; p(x, y) = 31y
The mass of the lamina that occupies the region D is 31/2 units and the center of mass is located at (1/2, 2/e).
We can find the mass of the lamina by integrating the density function over the region D:
m = ∫∫D p(x,y) dA
where dA is the area element in polar coordinates, which is equal to r dr dθ. The region D can be described as 0 ≤ x ≤ 1 and 0 ≤ y ≤ e, so the integral becomes:
m = ∫0^1 ∫0^e 31y dy dx
Solving the integral, we get:
m = 31/2
To find the center of mass, we need to find the x-coordinate and y-coordinate separately:
x = (1/m) ∫∫D x p(x,y) dA
y = (1/m) ∫∫D y p(x,y) dA
For the x-coordinate, we have:
x = (1/m) ∫0^1 ∫0^e x(31y) dy dx
Simplifying, we get:
x = (1/m) ∫0^1 31/2 x dx
x = 1/2
For the y-coordinate, we have:
y = (1/m) ∫0^1 ∫0^e y(31y) dy dx
Simplifying, we get:
y = (1/m) ∫0^1 31/3 e^3 dx
y = (2/e)
Therefore, the center of mass is located at (1/2, 2/e).
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At the neighborhood grocery, 2. 5 pounds of chicken breast cost $23. 50. Caroline spent $34. 78 on chicken breast. How many pounds of chicken breast did she buy, to the nearest hundredth of a pound?
Caroline bought approximately 3.70 pounds of chicken breast.
Let's use algebra to solve the problem:
Let x be the number of pounds of chicken breast Caroline bought.
We know that 2.5 pounds of chicken breast cost $23.50, so we can set up the following proportion:
2.5 / $23.50 = x / $34.78
To solve for x, we can cross-multiply and simplify:
2.5 * $34.78 = x * $23.50
$86.95 = $23.50x
x = $86.95 / $23.50
x ≈ 3.70 pounds
Therefore, Caroline bought approximately 3.70 pounds of chicken breast.
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f(x) = ln √(4x+5)/√(7x-4) f(x) = _____
The function can be expressed in terms of natural logarithms as f(x) = (1/2) ln (4x+5) - (1/2) ln (7x-4).
The function is, f(x) = ln √(4x+5)/√(7x-4)
First, note that we can simplify the expression inside the natural logarithm by applying the rules of radicals:
√(4x+5)/√(7x-4) = (4x+5)^(1/2) / (7x-4)^(1/2)
Now, we can apply the rule for the logarithm of a quotient, which states that:
ln (a/b) = ln a - ln b
Using this rule, we can rewrite the given function as:
f(x) = ln [(4x+5)^(1/2) / (7x-4)^(1/2)]
= ln (4x+5)^(1/2) - ln (7x-4)^(1/2)
Next, we can apply the rule for the logarithm of a power, which states that:
ln a^n = n ln a
Using this rule, we can simplify the logarithms in the expression above:
f(x) = (1/2) ln (4x+5) - (1/2) ln (7x-4).
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What is the radius of the circle x2+y–
3
4
2=144?
The radius of the circle x^2 + (y - 3/4)^2 = 144 is 12 units
What is the radius of the circleFrom the question, we have the following parameters that can be used in our computation:
x^2 + (y - 3/4)^2 = 144
As a general rule, the equation of a circle is represented as
(x - a)^2 + (y - b)^2 = r^2
Where
Radius = r
Using the above as a guide, we have the following:
r^2 = 144
SO, we have
r = 12
Hence , the calculated value of the radius is 12 units
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A dart has a circumference of 26\pi(pi symbol)calculate the total area on which the dart may land
The total area on which the dart may land is 530.93 square units
How to find the area of the dartThe dart is a circle and hence the calculations will be accomplished using formula pertaining to a circle.
The circumference of a circle (dart) is given by the formula below
C = 2 * π * r
where
C is the circumference
π = pi is a constant term and
r is the radius.
26π = 2πr
Dividing both sides by 2π, we get:
r = 13
Area of the dart (circle)
A = πr²
A = π * (13)²
A = 169π (in terms of pi)
A = 530.93 square units (to 2 decimal place)
Therefore, the total area on which the dart may land is 169π square units.
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The change in water level of a lake is shown in the table. How much did the water level change between Weeks 2 and 3?
The rate of change for the water level between Weeks 2 and 3 is: D. 3 7/8.
How to calculate or determine the rate of change or slope of a line?In Mathematics and Geometry, the gradient, rate of change, or slope of any straight line can be determined by using the following mathematical equation;
Rate of change (slope) = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Rate of change (slope) = rise/run
Rate of change (slope) = (y₂ - y₁)/(x₂ - x₁)
By substituting the given data points into the formula for the slope of a line, we have the following;
Rate of change (slope) = (y₂ - y₁)/(x₂ - x₁)
Rate of change (slope) = (1 5/8 + 2 1/4)/(3 - 2)
Rate of change (slope) = (13/8 + 9/4)/(1)
Rate of change (slope) = 3 7/8
Based on the table, the rate of change is the change in y-axis with respect to the x-axis and it is equal to 3 7/8.
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Which of the following is the graph of y = StartFraction 1 Over x + 2 EndFraction + 1?
Based on the information provided, the one that is the correct graph is "On a coordinate plane, 2 curves are shown. Both curves have an asymptote at x = 2..." (option 2).
How to identify the correct graph?The graph of y = StartFraction 1 Over x + 2 EndFraction + 1 is the second option described: On a coordinate plane, 2 curves are shown. Both curves have an asymptote at x = 2. One curve opens up and to the right in quadrants 1 and 4. It crosses the x-axis at (3, 0). The other curve opens down and to the left and it crosses the y-axis at (0, negative 1.5).
This graph has a vertical asymptote at x = 2 and a horizontal asymptote at y = 1. It is a hyperbola that opens up and to the right in quadrants 1 and 4. The curve crosses the x-axis at x = 3, which means that when y = 0, x = 3. The other curve opens down and to the left and it crosses the y-axis at y = -1.5, which means that when x = 0, y = -1.5.
Note: This question is incomplete; here is the complete question:
Which of the following is the graph of y = StartFraction 1 Over x + 2 EndFraction + 1?
On a coordinate plane, 2 curves are shown. Both curves have an asymptote at x = 2. One curve opens up and to the right in quadrant 1. The other curve opens down and to the left and it crosses the x-axis at (1, 0).
On a coordinate plane, 2 curves are shown. Both curves have an asymptote at x = 2. One curve opens up and to the right in quadrants 1 and 4. It crosses the x-axis at (3, 0). The other curve opens down and to the left and it crosses the y-axis at (0, negative 1.5).
On a coordinate plane, 2 curves are shown. Both curves have an asymptote at x = negative 2. One curve opens up and to the right in quadrants 1 and 2. It crosses the y-axis at (0, 1.5). The other curve opens down and to the left and it crosses the x-axis at (negative 3, 0).
On a coordinate plane, 2 curves are shown. Both curves have an asymptote at x = negative 2. One curve opens up and to the right in quadrants 1, 2, and 4. It crosses the x-axis at (negative 1, 0). The other curve opens down and to the left in quadrant 3.
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On a certain map, 0.4" represents 2 miles. If the actual distance between point A and point B is 8
miles, what is the distance in inches between point A and B on the map?
(A) 0.8"
(B) 1.6"
(C) 2"
(D) 2.4"
(E) 3.6"
Answer:
B
Step-by-step explanation:
0.4 inches = 2 miles
x inches = 8 miles
Cross multiplication:
0.4 * 8 = 2 * x
3.2 = 2x
x = 1.6''
Warren wants to buy grass seed to cover his whole lawn, except for the pool. the pool is 5 3/4m by 3 1/2m. find the area the grass seed needs to cover
find the area the grass seed needs to cover
Grass Seed Area = L - 20 1/8
To help Warren determine the area of his lawn where grass seed is needed, we first need to know the total area of his lawn.
Unfortunately, you have not provided the dimensions of the entire lawn. However, I can guide you through the process using the information given about the pool.
First, let's find the area of the pool. The dimensions are 5 3/4m by 3 1/2m. To find the area, multiply the length by the width:
Area = (5 3/4) * (3 1/2)
Convert the mixed numbers to improper fractions:
Area = (23/4) * (7/2)
Multiply the fractions:
Area = (23*7) / (4*2) = 161/8
Now convert the improper fraction back to a mixed number:
Area = 20 1/8 square meters
This is the area of the pool. To find the area where grass seed is needed, subtract the pool's area from the total area of the lawn. Assuming the total area of the lawn is "L" square meters, the area to be covered with grass seed would be:
Grass Seed Area = L - 20 1/8
Once you provide the dimensions of the entire lawn, you can follow these steps to find the area where grass seed is needed.
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A. Use the AA Similarity Theorem in writing an if-then statement to describe the illustration
or in completing the figure based on the if-then statement.
R
Н.
If:
P
Then:
AHEY
The AA Similarity Theorem states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar. We can complete the figure by drawing a line segment of length 10.5 from point A to point H.
Using this theorem, we can write the following if-then statement to describe the given illustration:
If angle RH is congruent to angle A and angle NH is congruent to angle E, then triangle PHN is similar to triangle AHE.
This means that the corresponding sides of these triangles are proportional to each other. We can use this information to complete the figure by finding the length of side AH.
Since triangle PHN is similar to triangle AHE, we can set up the following proportion:
PH/AH = HN/HE
We know that PH = 6 and HN = 8, and we want to find AH. Let x represent the length of AH.
6/x = 8/14
Cross-multiplying gives us:
6 * 14 = 8 * x
Simplifying:
84 = 8x
Dividing both sides by 8:
x = 10.5
Therefore, we can complete the figure by drawing a line segment of length 10.5 from point A to point H.
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Animal
Distance
Time
Speed
1
Lion
30 kilometers
30 minutes
2
Sailfish
195 kilometers
1 hour and 30 minutes
زÙا
Peregrine Falcon
778 kilometers
120 minutes
4
Cheetah
30 kilometers
15 minutes
5
Springbok
10 kilometers
6 minutes
6
Golden Eagle
240 kilometers
45 minutesâ
Distance time speed of different animals are:
Lion = 60 km/h Sailfish = 130 km/h Peregrine Falcon = 389 km/h Cheetah = 120 km/h Springbok = 100 km/h Golden Eagle = 320 km/h.
Here are the answers for each one:
1. Lion: The lion traveled a distance of 30 kilometers in a time of 30 minutes. To find the lion's speed, we can use the formula: speed = distance ÷ time. So, the lion's speed was 30 km ÷ 0.5 hours = 60 km/h.
2. Sailfish: The sailfish traveled a distance of 195 kilometers in a time of 1 hour and 30 minutes, which is the same as 1.5 hours. To find the sailfish's speed, we can again use the formula: speed = distance ÷ time. So, the sailfish's speed was 195 km ÷ 1.5 hours = 130 km/h.
3. Peregrine Falcon: The peregrine falcon traveled a distance of 778 kilometers in a time of 120 minutes, which is the same as 2 hours. To find the peregrine falcon's speed, we can once again use the formula: speed = distance ÷ time. So, the peregrine falcon's speed was 778 km ÷ 2 hours = 389 km/h.
4. Cheetah: The cheetah traveled a distance of 30 kilometers in a time of 15 minutes, which is the same as 0.25 hours. To find the cheetah's speed, we can use the formula: speed = distance ÷ time. So, the cheetah's speed was 30 km ÷ 0.25 hours = 120 km/h.
5. Springbok: The springbok traveled a distance of 10 kilometers in a time of 6 minutes, which is the same as 0.1 hours. To find the springbok's speed, we can use the formula: speed = distance ÷ time. So, the springbok's speed was 10 km ÷ 0.1 hours = 100 km/h.
6. Golden Eagle: The golden eagle traveled a distance of 240 kilometers in a time of 45 minutes, which is the same as 0.75 hours. To find the golden eagle's speed, we can use the formula: speed = distance ÷ time. So, the golden eagle's speed was 240 km ÷ 0.75 hours = 320 km/h.
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help me with this please!!! i need the answer rn
: (
Answer:
Its B because you find the number in the middle, if theres two numbers in the middle, you add them up and divide by 2
the answer is B
the answer is B because 21 and 23 both seem to be in the middle. when two numbers are in the middle, you add them, then divide by two as a result, you would get 22.
What fraction of 2.4 litres is 400 ml?
The fraction is 1/6. Option D
How to determine the fractionFirst, we need to know the conversion factor the parameters.
Then, we have that';
1 liter = 1000 milliliter
10 milliliters (ml) = 1 centiliter (cl)
10 centiliters = 1 deciliter (dl) = 100 milliliters
1 liter = 1000 milliliters
1 milliliter = 1 cubic centimeter
1 liter = 1000 cubic centimeters
Then, we can say that;
If 1 liter = 1000ml
Then 2 4/8 = 400ml
2.4 liters is equal to 2.4 x 1000= 2400 milliliters.
400/2400
Simplify the fraction;
4/24
Divide the values, we get;
1/6
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Please help and make sure to explain. Brainliest will be given to best answer before 7:00am EST April 27. If no answer is good then no brainliest.
Joey forgot to record approximately 9,412 views after the second month.
How to explain the regressionUsing a regression calculator, we find that the equation that best models the data is:
y = 4298.76x + 809.72
The coefficient of determination (R-squared value) for this regression is 0.994, indicating a strong linear relationship between the number of months and the total number of views.
We need to find the value of y for x = 2, using the regression equation we found in part a:
y = 4298.76(2) + 809.72
y ≈ 9412.24
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Levi finds a skateboard that sells for 139. 99. The store charges 6% sales taxes. About how much money will he have to spend for his skateboard
$148.39 much money will he have to spend for his skateboard.
Levi will have to spend approximately $148.39 for his skateboard.
The original price can be defined as the cost price of an item or a service. The decrease in the original price of a product or service is called the discount offered to the buyer. Generally, this discount is expressed as a percentage.
Original Sale Price means the price at which the current Owner purchased the Property (not including commissions, loan origination fees, appraisals fees, title insurance premiums and other similar transaction costs).
To calculate this, we need to find 6% of the original price and add it to the original price:
6% of 139.99 = 0.06 x 139.99 = 8.3994
Adding this to the original price gives:
139.99 + 8.3994 = 148.3894
Rounding to the nearest cent gives $148.39.
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The volume of a box in the shape of a
rectangular prism can be represented by
the polynomial 8x² + 44x + 48, where x is
a measure in centimeters. Which of these
measures might represent the dimensions
of the box?
The possible dimensions of the rectangular prism are (2x + 3) cm, (x + 4) cm, and 4 cm, or (2x + 3) cm, 4 cm, and (x + 4) cm, where x is a measure in centimeters.
The polynomial 8x² + 44x + 48 represents the volume of a rectangular prism in cubic centimeters, where x is a measure in centimeters.
To find the possible dimensions of the box, we need to factor the polynomial into three factors that represent the length, width, and height of the rectangular prism.
First, we can factor out the greatest common factor of the polynomial, which is 4:
8x² + 44x + 48 = 4(2x² + 11x + 12)
Next, we can factor the quadratic expression inside the parentheses:
2x² + 11x + 12 = (2x + 3)(x + 4)
Therefore, the polynomial can be factored as:
8x² + 44x + 48 = 4(2x + 3)(x + 4)
This means that the dimensions of the rectangular prism could be (2x + 3), (x + 4), and 4, where x is a measure in centimeters. Alternatively, the dimensions could be (2x + 3), 4, and (x + 4).
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Janice bought a new car. the total amount she needs to borrow is $35,000 . she plans on taking out a 5-year loan at an apr of 4%. what is the monthly payment ?
Janice's monthly payment for her 5-year, 4% APR car loan would be $626.38.
To calculate Janice's monthly payment, we first need to use the formula for calculating loan payments:
Loan Payment = Loan Amount / Discount Factor
The discount factor can be calculated using the following formula:
Discount Factor = [(1 + r)ⁿ] - 1 / [r(1 + r)ⁿ]
Where r is the monthly interest rate (4% divided by 12 months = 0.00333) and n is the total number of payments (5 years x 12 months = 60).
Plugging in the values, we get:
Discount Factor = [(1 + 0.00333)⁶⁰] - 1 / [0.00333(1 + 0.00333)⁶⁰] = 55.8389
Now, we can calculate Janice's monthly payment:
Loan Payment = $35,000 / 55.8389 = $626.38
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Twenty students in A and 20 students in class B were asked how many hours they took to prepare for an exam. The data sets represents their answers
The data sets represent the answers of twenty students in Class A and twenty students in Class B regarding the number of hours they took to prepare for an exam. These data sets are important because they help us understand the study habits and time allocation of the students in each class.
To analyze the data sets, first, collect the data from each student in both classes. Record the number of hours they took to prepare for the exam, ensuring you have 20 responses from Class A and 20 from Class B. Then, you can compute the average, or mean, time spent for each class by summing up the hours reported by all students in each class and dividing by 20.
Next, compare the averages for Class A and Class B to determine if there is a significant difference in the time spent preparing for the exam. Additionally, you can calculate other statistical measures such as median and mode to gain further insight into the data sets.
Furthermore, analyzing the distribution of the data, such as the range, will provide information on the variability of the time spent studying in each class. This can help identify any trends or patterns in the students' preparation time.
In conclusion, the data sets representing the number of hours spent by students in Class A and Class B to prepare for an exam can provide valuable insights into their study habits, the effectiveness of their preparation, and any possible correlations between time spent studying and exam performance.
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the questio is write a rule to describe each transformation
please please help me
The translation used is of 4 units to the right and 4 units upwards.
Which is the transformation in the graph?To find it, we just need to look at one of the vertices of the figures.
We can see that the vertex U starts at:
U = (0, -1)
And the second vertex U' is at (4, 3)
Taking the difference we will get:
(4, 3) - (0, -1) = (4, 4)
So we have a translation of 4 units to the right and 4 units upwards.
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At the craft store, Stefan bought a bag of yellow and brown marbles. The bag contained 40 marbles, and 10% of them were yellow. How many yellow marbles did Stefan receive?
The number of yellow marbles Stefan received is 4.
To find out how many yellow marbles Stefan received, we need to calculate 10% of the total number of marbles, which is 40.
Percentage calculations involve finding a part of a whole, and in this case, we are looking for the part that represents the yellow marbles. To find 10% of 40 marbles, you simply multiply the total number of marbles (40) by the percentage value (10%) as a decimal. To convert 10% to a decimal, you divide by 100, giving you 0.1.
Now, multiply the total marbles by the decimal value:
40 marbles * 0.1 = 4 marbles
So, Stefan received 4 yellow marbles in the bag he bought from the craft store.
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