Answer:
4/41
Step-by-step explanation:
Two speeds are in the ratio 12:5 . If the first speed is 8km/h . what is the second speed?
Write two ratios equal to each other :
12/5 = 8/x(second speed)
Cross multiply:
12x = 40
Divide both sides by 12:
X = 3.333 or 3 1/3 km/h
second speed = 3.33 ( as a decimal) or 3 1/3 ( as a fraction) km/h
Exponential growth/decay problem 1
Answer:
a) growth
b) $500
c) 6% = 0.06
d) [tex]f(x)=500(1.06)^x[/tex]
e) $595.51
Step-by-step explanation:
Part (a)
Exponential GROWTH, since interest is applied to the account each year.
Part (b)
Initial amount = $500
Part (c)
Growth factor = 6% = 0.06 (in decimal form)
Part (d)
General form of exponential growth function:
[tex]f(x)=a(1+r)^x[/tex]
where:
a = initial amountr = rate of growth (in decimal form)x = time (in years)Given:
a = 500r = 0.06[tex]\implies f(x)=500(1+0.06)^x[/tex]
[tex]\implies f(x)=500(1.06)^x[/tex]
Part (e)
when x = 3
[tex]\begin{aligned}\implies f(3) & =500(1.06)^3\\ & = 595.51\: \sf(nearest\:hundredth)\end{aligned}[/tex]
Does this figure have symmetry?
E
CLEAR
CHECK
Yes, because if you fold it in half, both halves match up.
Yes, because if you rotate it 90 degrees, the figure carries
onto itself.
No, because if you fold it in half, both halves do not match
up
No, because if you rotate it 180 degrees, it does not carry
onto itself.
Answer:
The Letter E has 1 line of symmetry. (Horizontal)
Step-by-step explanation:
Yes, because if you fold it in half (horizontally), both halves match up.
How to tell the difference between permutation and combination?.
Answer:
Permutation is an arrangement of things where order of arrangement matters. The position of each thing in a permutation matters. Thus, Permutation can be associated with Position.
Combination is grouping/selection of things where order does not matter. Permutation can be considered as an ordered combination.
Two times a number added to the other number is 25. Three times the first numb
minus the other number is 20. Find the numbers.
Answer:
First number = 9
Second number = 7
Step-by-step explanation:
Let x be the first number and y be the second.
2x + y = 25
3x - y = 20
1) Add them together.
5x = 45
x = 9
2) Solve for y.
2(9) + y = 25
y=7
3) Check your work on the other equation.
3(9) - (7) = 20
27 - 7 = 20
20 = 20
Therefore the first number is 9 and the second number is 7.
find x. the whole question is- To what angle of depression should the security camera be adjusted in order to have lens aimed at point P on the ground?
Answer:
Hence, the security camera be adjusted in order to have the lens aimed at point. P. on the ground at an angle of depression of. x∘=30∘
Step-by-step explanation:
at which angles are the x and y coordinate on the unit circle exactly the same? give your answer in radians and degrees
Answer:
In radian :
[tex]\frac{\pi }{4} \ \text{and}\ \frac{5\pi }{4}[/tex]
In degree :
45° and 225°
Step-by-step explanation:
the x and y coordinate on the unit circle exactly the same at the angles :
In radian :
[tex]\frac{\pi }{4} \ \text{and}\ \frac{5\pi }{4}[/tex]
In degree :
45° and 225°
At those angles :
[tex]\left( x,y\right) =\left( \frac{\sqrt{2} }{2} ,\frac{\sqrt{2} }{2} \right) \ or\ \left( x,y\right) =\left( -\frac{\sqrt{2} }{2} ,-\frac{\sqrt{2} }{2} \right)[/tex]
g True or false: For continuous random variables, the probability of being less than some value, x, IS NOT the same as the probability of being less than or equal to the same value, x. Group of answer choices True False
===========================================================
Explanation:
The given statement is claiming something like [tex]P(X < 2)[/tex] produces a different result compared to [tex]P(X \le 2)[/tex]. The subtle difference of course is the "or equal to".
When talking about continuous random variables, the two values are the same. Why? Because probability of selecting *exactly* X = 2 is going to be zero. Think of a very very thin strip of height P(X = 2) and the width is approaching zero. The width is doing this because we're trying to pinpoint X = 2 itself. As you can see, this skinny rectangle will have its area approach 0. Ultimately, whether we compute [tex]P(X < 2)[/tex] or [tex]P(X \le 2)[/tex], it doesn't matter. They both produce the same result.
If you are a visual learner, consider the standard normal distribution. Now consider the task if shading to the left of z = 2. This area describes both probabiltiies mentioned above.
If X is a continuous random variable, then [tex]P(X < 2) = P(X \le 2)[/tex] and we can change the "2" to any number we want to have the same outcome.
Therefore, the original claim is false.
-------------------------
Extra info:
Now if X was discrete (say from the binomial distribution), then the two probabilities would be different. This is because
[tex]P(X < 2) = P(0) + P(1)\\\\P(X \le 2) = P(0) + P(1) + P(2)\\\\P(X < 2) \ne P(X \le 2) \ \text{only if X is discrete}[/tex]
We can see in this case that the second line has P(2) while the first one does not.
So the original claim would be true if we changed "continuous" to "discrete".
What is 0.47 expressed as a fraction in simplest form?
(SHOW WORK)
Answer: 0.47 is equal to 47/100
Step-by-step explanation:
1.00=100 Is like pennies, if you have a hundred of them you have 1 dollar but since there’s only 47 it’s out of a hundred
Answer:
0.47 as a fraction equals 47/100
Step-by-step explanation:
Write 0.47 as
Multiply both the numerator and denominator by 10 for each digit after the decimal point.
[tex]\frac{0.47}{1}[/tex] = [tex]\frac{0.47 x 100 } {1x100}[/tex] = [tex]\frac{47}{100}[/tex]
So, 0.47 as a fraction in simpliest form equals 47/100
6.
Use the Change of Base Formula to evaluate log base 4 20
Answer:
The answer with calculator would be 2.16096
Please show work thank you so much y’all
Answer:
a
Step-by-step explanation:
looked it up if u dondon't like the answer sorry
PLEASEE HELPPP!! The figure below is made of 2 rectangular prisms.
What is the volume of this figure?
Answer:
176 cubic cm
Step-by-step explanation:
[tex](2 \times 8 \times 2) + (3 \times 6 \times 8) = 32 + 144 = 176[/tex]
Algebra 1 8.2 worksheet answers
The graphs and their functions/equations are all illustrations of quadratic functions.
What are the zeros of a function?The zeros of a function of a graph are the points where the line or curve of the graph crosses the x-axis
What is the axis of symmetry?The axis of symmetry of a graph is the line that divides the graph into equal halves
What is the vertex of a function?The vertex of a function is the minimum or the maximum point on the graph
The vertex of a quadratic function is minimum if it opens upward, otherwise the vertex is maximum
Using the above definitions, the solutions to the worksheet are:
Graph 1
Zeros: -4 and 0Axis of symmetry: x = -2Min or Max: MaximumVertex: (-2, 4)Graph 2
Zeros: 2Axis of symmetry: x = -2Min or Max: MinimumVertex: (-2, 0)Graph 3
Zeros: -3 and 3Axis of symmetry: x = 0Min or Max = MinimumVertex: (0, -9)Graph 4
Zeros: -5 and -3Axis of symmetry: x = -4Min or Max = MaximumVertex: (-4, -1)Graph 5
Zeros: 3 and 7Axis of symmetry: x = 5Min or Max = MinimumVertex: (5, -4)Graph 6
Zeros: NoneAxis of symmetry: x = 24Min or Max = MinimumVertex: (2, 5)Graph 7
Zeros: 1 and 5Axis of symmetry: x = 3Min or Max = MinimumVertex: (3, -4)Graph 8
Zeros: -2 and 0Axis of symmetry: x = -1Min or Max = MaximumVertex: (-1, 1)Graph 9
Zeros: 5Axis of symmetry: x = 5Min or Max = MinimumVertex: (5, 0)Read more about quadratic functions at:
https://brainly.com/question/18797214
#SPJ1
Simplify:
-1 |2/3-4| divided by 5/6
Answer:
4
Step-by-step explanation:
[tex](-1 (\frac{2}{3} - 4)) / (5/6)[/tex]
Let's solve for the numerator first:
PEMDAS says parenthesis first so...
2/3 - 4, we'll turn 4 into an improper fraction so it's easier
2/3 - 12/3 = -10/3
-1(-10/3) = (+)10/3
Now, we replace this as the numerator:
(10/3) / (5/6)
To divide, we multiply the first fraction by the reciprocal of the second:
(10/3) * (6/5) = 60/15
now simplify.....
60/15 = 4 or in other words, {15 * 4 = 60}
So, the answer is 4!
Which of the following is NOT a function?
A. {(3, 8), (3, 9)}
B. {(3, 6), (6, 12)}
C. {(3, 7), (7, 13)}
D. {(3, 16), (4, 31)}
Answer:
A. is NOT the function.
Step-by-step explanation:
In a function, 1 input (the 3) can not have two differnt ouputs (8 and 9) meaning that this is NOT a dunction.
I hope this helps! :)
Write the equation of the given line in slope-intercept form
Answer:
y = -3x -1
Step-by-step explanation:
Hi there!
We are given a line on a coordinate grid, with 2 marked points, (-1, 2) and (1, -4)
We can use these points to help find the equation of the line, which we can write in slope-intercept form
Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept
First, we need to find the slope of the line
The formula for the slope calculated from 2 points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points
We have everything we need to find the slope, but let's label the values of the points to help avoid confusion.
[tex]x_1=-1\\y_1=2\\x_2=1\\y_2=-4[/tex]
Now substitute these values into the formula to find the slope
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m=[tex]\frac{-4-2}{1--1}[/tex]
Simplify
m=[tex]\frac{-4-2}{1+1}[/tex]
m=[tex]\frac{-6}{2}[/tex]
Divide
m= -3
The slope of the line is -3
We can substitute this into the formula.
Here's our line so far:
y = -3x + b
Now we need to find b
As the equation passes through the points (-1, 2) and (1, -4), we can use either one to find the value of b
Taking (-1, 2) for example:
Substitute -1 as x and 2 as y.
2 = -3(-1) + b
multiply
2 = 3 + b
Subtract 3 from both sides
-1 = b
Substitute -1 as b.
y = -3x - 1
Hope this helps!
See more on this topic here: https://brainly.com/question/27402935
Giving 100 points
The dot plot below shows the hourly rate of some babysitters in a city:
A number line is shown from 1 dollar to 5 dollars in increments of 1 dollar for each tick mark. The horizontal axis label is Dollar per hour. There are 4 dots above 2 dollars, 2 dots above 3 dollars, 3 dots above 4 dollars, and 1 dot above 5 dollars. The title of the line plot is Babysitting Rates.
Which statement best describes the shape of the data?
It is symmetric and has a peak at $5.00.
It is not symmetric and has a peak at $2.00.
It is a cluster from $1.00 to $5.00 and has gaps.
It is a cluster from $1.00 to $5.00 and has no gaps.
Answer:
It is not symmetric and has a peak at $2.00
Step-by-step explanation:
$2.00 has 4 dots while the others have less
in order for it to be symmetric:
1 and 5 would need the same amount2 and 4 would need the same amount3 could be whateverit is also not clustered from $1.00 to $5.00 because $1.00 has no amount
There are no gaps as $1.00 has no amount
Answer:
It is not symmetric and has a peak at $2.00
Step-by-step explanation:
hope i helped you very much
(2) Joshua needed to put 5 cookies in each gift box. He had 16 chocolate chip cookies and 19 oatmeal cookies. How many boxes could he fill with cookies?
Answer:
7 boxes
Step-by-step explanation:
16+19 is 35. divide 35 by 5 and you get 7 boxes
Solve x: -7y=2x+xy+10y
Answer:
x = -17y/2+y
Step-by-step explanation:
Reorder the terms -7y = 2x + xy + 10y
Move the terms -7y = 2x + yx + 10y
Rewrite collect like terms -2x - yx = 10y + 7y
Divide both sides (-2 - y)x = 17y
simplify x = 17y/-2-y
Solution x = -17y/2+y
Have a good day <3
If four out of ten people vote,how many will vote if there ate two hundred thousand people
If a. sub n. is a geometric sequence with a. sub 1 is equal to 10. and a. sub 5 is equal to 810. , find r., the common ratio.
a. 1/3
b. 3
c. 81
d. 1/81
A geometric series is the sum of an unlimited number. The common ratio of the geometric sequence is 3.
What is geometrical series?A geometric series is the sum of an unlimited number of terms with a fixed ratio between them.
Given the value of a₁ is 10, while the value of a₅ is 810, therefore, the common ratio can be written as,
[tex]\dfrac{a_5}{a_4} \times \dfrac{a_4}{a_3} \times \dfrac{a_3}{a_2}\times \dfrac{a_2}{a_1} = r \times r \times r \times r\\\\\\\dfrac{a_5}{a_1} = r^4\\\\\\dfrac{810}{10} = r^4\\\\\sqrt[4]{81} = r\\\\r = 3[/tex]
Hence, the common ratio of the geometric sequence is 3.
Learn more about Geometrical Series:
https://brainly.com/question/4617980
#SPJ1
For their season opener, the freshman basketball team sold 90 tickets for a total of $334.
Adult tickets for the game cost $5 and student tickets cost $3. How many adult tickets
were sold ?
help pls?!?!?
calculate the area of the following.
Answer:
580.4 cm^2 to the nearest tenth.
Step-by-step explanation:
If we draw a perpendicular line from the top right vertex to the base we split the figure into 2 triangles and a rectangle in the center.
Left side triangle:
base = √(28^2 - 20^2) (using Pythagoras theorem
= 19.600
So its area = 1/2 * 19.6 * 20 = 196 cm^2.
Right side triangle:
Base = √(30^2 - 20^2) = 22.361
Area = 1/2 * 22.361 * 20 = 223.61 cm^2
Rectangle:
Base of rectangle = 50 - 19.6 - 22.361 = 8.039.
Area = 8.039 * 20 = 160.78.
So the area of the whole figure
= 196 + 223.61 + 160.78
= 580.39 cm^2.
Who the answer so ez to find
Mee
increase 31 kg by 100%
need help with the question
Answer:
14 pi
Step-by-step explanation:
Here,
Area = 49 pi
Pi r ^2 = 49 pi
r^2 = 49
r = 7m
Now,
Circumference = 2 pi r
=2*pi *7
=14 pi
А,
D
B
63°C
E
F
m. What is the measure of ZDCE? Write and solve an equation or explain how you know.
Answer:
In Triangle FGH, m<F = 42 and an exterior angle at vertex H as a measure of 104. What is the measure of <G?
Step-by-step explanation:
Answer:
82 units
Step-by-step explanation:
look at the paper...
PLS HELP
What is the median of this data set?
Answer:
$3.50
Step-by-step explanation:
add up all the x's and distribute them starting from the outside until you get to the middle. if there is an odd number of x's (which there isn't), the last x to be placed will be on the spot that is the median. If there is an even number of x's, and they both land on the same spot, that spot will be the median, and if they are next to each other, the median will be between them.
Type the correct answer in each box.
Ella rolls a dle and then flips a coin. The sample space for this compound event is represented in the table (H is heads and Tis tails). Complete
the table and the sentence beneath it.
Die
1
2.
3
4
5
6
heads
H-1
H-2
H-3
H-5
H-6
Coin
tails
T-1
T-3
T-4
T-5
The size of the sample space is
Hi
The size of the sample space would be { H-1 H-2 H-3 H-5 H-6 T-1 T-3 T-4 T-5 }.
What is the sample space for a random experiment?Sample space is the set of all possible outcome the considered random experiment can result to.
Thus, suppose we toss a coin, then tossing a coin is a random experiment, and the sample space is {'head', 'tail'}.
We ignore other outcomes like slant coin, or standing coin by assuming that coin is very thin to stand and always falls down.
Ella rolls a die and then flips a coin. The sample space for this compound event is represented in the table (H is heads and T is tails).
Die 1 2 3 4 5 6
Coin: heads H-1 H-2 H-3 H-5 H-6
tails T-1 T-3 T-4 T-5
The size of the sample space
= { H-1 H-2 H-3 H-5 H-6 T-1 T-3 T-4 T-5 }
Learn more about sample space of a random experiment here:
https://brainly.com/question/9773761
#SPJ1
Answer:
hope this works for u
Step-by-step explanation:
1
The point lies in which quadrant?
A
Quadrant I
B
Quadrant II
C
Quadrant III
D
Quadrant IV
Answer:
Step-by-step explanation:
Since you did not include what the point is that you are trying to label, I can only tell you which quadrant is which. The quadrants go from 1 to 4 in a counterclockwise direction, starting from the top right quadrant (or the +,+ quadrant). One easy way to remember which direction the quadrants go in is the letter C, as they follow the same path as that letter.
I included a diagram to help.
Hope this helps! :)
After a heavy rainstorm, Barbara's dog left muddy paw prints all over her back patio. She decided to rent an electric
pressure washer to clean up the mess. The piecewise function below shows the rental charges for the pressure
washer, dependent upon how many hours she rents it. Due to high demand, you cannot rent the washer for more
than 24 hours at a time. Barbara's brother asked to use the washer and agreed to pay Barbara for any additional
monies owed.
(26,0
y= {26 + 5% - 4),4
60,8
If Barbara used the washer for 3 hours and her brother returned it to the store 7 hours after she rented it, how much
does her brother owe her?
$15.00
O $41.00
$60.00
$61.00
Answer:
$15.00
Step-by-step explanation:
Just did the quiz
By evaluating the piecewise function, we will see that the brother owes $15.
How much does her brother owe her?
The piecewise function is:
y = 26, if 0 < h < 4
y = 26 + 5*(h - 4), if 4 < h < 8
y = 60, if 8 < h
Barbara uses it for 3 hours, so we only need to use the first part for her, so she needs to pay $26.
Then the brother uses it for 4 hours (and we need to add the 3 hours that Barbara used it, so we have h = 7).
Then for the 7 hours the two brothers need to pay:
y = $26 + $5*(7 - 4) = $41
If we subtract the part that Barbara needs to pay we get.
$41 - $26 = $15
This means that the correct option is $15.
If you want to learn more about piecewise functions:
https://brainly.com/question/3628123
#SPJ2