Answer:
1/4 is A and 1/20 is B
Step-by-step explanation:
Not much of an explanation needed
The ratios 4 birr to 16 cents and 5 days to 100 hrs can be expressed as [tex]\frac{1}{4}[/tex] and [tex]\frac{1}{20}[/tex] in their lowest terms.
What is Ratio?Ratio is the relationship between two quantities which shows the number of times that the one quantity is contained within the other quantity.
If 'a' is related to 'b', they can be denoted in terms of ratio as a : b.
Ratios can be expressed as fractions.
(a) 4 birr to 16 cents = [tex]\frac{4}{16}[/tex]
The highest common factor of both 4 and 16 is 4.
[tex]\frac{4}{16}[/tex] = (4 × 1) / (4 × 4) = [tex]\frac{1}{4}[/tex]
(b) 5 days to 100 hrs = [tex]\frac{5}{100}[/tex]
The highest common factor of 5 and 100 is 5.
[tex]\frac{5}{100}[/tex] = (5 × 1) / (5 × 20) = [tex]\frac{1}{20}[/tex]
Hence the ratios can be expressed as [tex]\frac{1}{4}[/tex] and [tex]\frac{1}{20}[/tex] in their lowest terms.
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What is the slope of the line through (2, -1) and (-2, -3)?
Which statement is true based on a graph of the line that passes through the given coordinates? (2, 1), (3,3), (5,7), (6,9) Please help
A. The line that passes through the given coordinates does not represent a proportional relationship because the line passes through the origin.
B. The line that passes through the given coordinates represents a proportional relationship because the line passes through the origin.
C. The line that passes through the given coordinates does not represent a proportional relationship because the line does not pass through the origin.
D. The line that passes through the given coordinates represents a proportional relationship because the line does not pass through the origin.
The line that passes through the given coordinates does not represent a proportional relationship because the line does not pass through the origin. Option C
What is a proportional relationship?We can say that a relationship is proportional when the relation does lead to a straight line graph and the graph would have to be able to pass through the origin.
Hence, even if we have a straight line graph but the graph does not pass through the origin of the graph then we can not say that the relationship that is existing between the coordinates that have been shown is proportional.
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Four gallons of paint are used to paint 25 chairs. If each chair used the same amount of paint, how many gallons are used to paint each?
Answer:
0.16 or 0.2 if rounded
Step-by-step explanation:
4 gallons divided by 25 chairs equals 0.16 gallons for each chair
hope this helps <3
Josh must submit 4 paintings as part of his
application to art school. If he has 25 to choose
from, how many ways can he pick 4?
Answer: 4,096
Step-by-step explanation:
There are 12650 ways for pick 4 paintings.
Given:
He has 25 to choose.
No. of ways he can pick 4 in 25 = 25 C 4.
[tex]\frac{25!}{4!(25-4)!} =\frac{25}{4!\times2!} =12650\\[/tex]
Therefore, 12650 ways for pick 4 paintings.
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What is the midline of this function? y=
What is the amplitude of this function?
Define a function, g, to represent the behavior of the graphed function. g(a)= NO LINKS.
Answers:
Midline: y = 0Amplitude = 1.5Function: g(x) = 1.5sin(0.5x + pi/4)There are infinitely many possible ways to answer the third part.
===========================================================
Explanation:
The midline is the horizontal line that goes through the center of the sine curve. Visually we can see that is y = 0. Another way we can see this is to note how y = 0 is the midpoint of y = 1.5 and y = -1.5, which are the max and min respectively.
---------
The amplitude is the vertical distance from y = 0 to y = 1.5, and it's also the vertical distance from y = 0 to y = -1.5; in short, it's the vertical distance from center to either the peak or valley.
---------
The general format of a sine curve is
y = A*sin(B(x-C)) + D
where,
|A| = amplitudeB = variable tied with the period T, specifically B = 2pi/TC = handles the left and right phase shiftD = handles the vertical shifting, and y = D is the midline.In this case, we found so far that
|A| = 1.5 which could lead to A = 1.5B = 2pi/(4pi) = 0.5 since T = 4pi is the periodD = 0The only thing we're missing is the value of C, which is the phase shift.
Note the point (pi/2, 1.5) is one of the max points on this curve. Also, recall that sin(x) maxes out at 1 when x = pi/2
This must mean that the stuff inside the sine, the B(x-C) portion, must be equal to pi/2 in order to lead sin(B(x-C)) = 1.
So,
B(x-C) = pi/2
0.5(pi/2-C) = pi/2
pi/4 - C/2 = pi/2
4*( pi/4 - C/2 ) = 4*(pi/2)
pi - 2C = 2pi
-2C = 2pi - pi
-2C = pi
C = pi/(-2)
C = -pi/2
This allows us to update the function to get g(x) = 1.5*sin(0.5(x+pi/2)) which is the same as g(x) = 1.5sin(0.5x + pi/4)
This is one possible answer because we could have infinitely many possible values for C, due to sin(x) = 1 having infinitely many solutions.
Also, you could use cosine instead of sine. Cosine is just a phase shifted version and of sine, and vice versa.
a3 - c + b, when a=3, b=6, c=8
Answer:
7
Step-by-step explanation:
In order to find the answer to the equation, you must substitute the given values into the equation.
A^3 - C + B
We know that A = 3, B = 6, and C = 8
(3)^3 - (8) + (6)
9 - 8 + 6
1 + 6
7
help please!!!!!!!!!!!!!!!!!!!!1
Answer:
Not a function
Step-by-step explanation:
A function is when every input(x) has only one output (y). The input 1 has two outputs (0 and 1) so it is not a function.
Find m∠PQT, where x = m∠PQT
Answer:
127
Step-by-step explanation:
PR is straight line with the measure of 180 degrees
to find PQT we need to subtract 53 from 180
180 - 53 = 127
solve number 13 please
The new model {A} for the total number of new green tea and fruit juice sales can be written as {A} = 9t^4 + 3t² + 105 .
What is expression ?
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.
An algebraic expression is made up of a number of variables, constants, and mathematical operations. We are aware that variables have a wide range of values and no set value. They can be multiplied, divided, added, subtracted, and other mathematical operations since they are numbers. as in 3x Plus 4.
Given is that during a 20-year period, G and I can be modeled by the following equation (where t is the time in years) :
G = 6t^4+ 3t³ – 2t² + 5t + 60
I = 3t^4 - 3t³ + 5t² - 5t + 45
where {G} is the number (in billions) of new green tea sales and {I} be the number in billions of new fruit juice sales.
A new model {A} for the total number of new green tea and fruit juice sales can be written as -
{A} = {G} + {I}
{A} = 6t^4+ 3t³ – 2t² + 5t + 60 + 3t^4 - 3t³ + 5t² - 5t + 45
{A} = 9t^4 + 3t² + 105
Therefore, the new model {A} for the total number of new green tea and fruit juice sales can be written as {A} = 9t^4 + 3t² + 105
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You want to compare the ratios 3:12 and 7:28 to see if they're equal. You know that you need to compare the products of the extremes against the product of the means. Which two values are the means for this comparison? A. 3 and 7 B. 12 and 28 C. 3 and 28 D. 12 and 7
Answer:
Step-by-step explanation:
3:12 7:28
The means are the second and third terms in the proportion.
The extremes are the two outside terms.
12 and 7 are the means.
(3 and 28 are the extremes.)
So thre answer is D. 12 and 7.
Help!!!!!!!!!!!!!!!!!!!!!
Answer:
32
Step-by-step explanation:
Answer:
32
Step-by-step explanation:
CL congruent with CM
WX congruent with YZ
32 = 32
What is the solution of the system of equations? Show your work.
4x - 2y = 10
2x + y = -3
Answer:
no solutions
Step-by-step explanation:
you have to divide the whole first equation by 2 and you would get
2x+y=5
2x+y=-3
That is not true the same thing can’t have different outcomes.
it is no solution
eva invest $120 at a rate of 3% per year compound interest. calculate the total amount eva has after 2 years
Answer:
Eva has $127.31 after 2 years.
Step-by-step explanation:
Here is the formula for compound interest
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
Where [tex]A[/tex] is the final amount, [tex]P[/tex] is the initial amount, [tex]r[/tex] is the interest rate as a decimal, [tex]n[/tex] is the number of times the interest applied per time period, and [tex]t[/tex] is the number of time periods.
We are given
[tex]P=120\\r=0.03\\n=1\\t=2[/tex]
Substitute our numbers into the equation
[tex]A=120(1+\frac{0.03}{1})^{1*2}[/tex]
[tex]A=120(1.03)^{2}[/tex]
[tex]A=120*1.03^{2}[/tex]
[tex]A=120*1.0609[/tex]
[tex]A=127.308[/tex]
Help me out.....please
Answer:
2.5
Step-by-step explanation:
the radius is half of a diameter so
radius = 5/2 = 2.5 inches
Answer:
2.3
Step-by-step explanation:
A polynomial function g(x) has a positive leading coefficient. Certain values of g(x) are given in the following table.
x –4 –1 0 1 5 8 12
g(x) 0 3 1 2 0 –3 0
If every x-intercept of g(x) is shown in the table and each has a multiplicity of one, what is the end behavior of g(x)? (5 points)
As x→–∞, g(x)→∞ and as x→∞, g(x)→∞.
As x→–∞, g(x)→–∞ and as x→∞, g(x)→–∞.
As x→–∞, g(x)→ –∞ and as x→∞, g(x)→∞.
As x→–∞, g(x)→∞ and as x→∞, g(x)→–∞.
Examining the polynomial function g(x) as given in the table the end behavior is
As x → –∞, g(x) → –∞ and as x → ∞, g(x) → ∞.What is end behavior?The end behavior of function typically says the characteristics of the function at the ends
How to find the end behavior of polynomial functionThe given table when examined shows that there was three zeros hence the graph is that of odd function
The end behavior of an odd function with positive leading coefficient is
x ⇒ ∞ f(x) ⇒ ∞: as x tends to positive infinity the function tends to positive infinity
x ⇒ -∞ f(x) ⇒ -∞: as x tends to negative infinity the function tends to negative infinity
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The following is a list of books I read this summer what percent of my books were nonfiction nonfiction equals 8 fiction equals 17
Answer:
About 47% of books were nonfiction.
The actual percentage includes decimals and it would be this:
%47.0588235294
Eli shows that triangle A is congruent to triangle B by rotating triangle A around point
K and then translating it so it matches up with triangle B exactly. Which conclusion
can be drawn from Eli's transformations?
Answer:
All Sides are equal to their corresponding ones [SK = BG and so on...]
All angles are equal to thei corresponding angles [angle(T) = angle(I) and so on..]
(C.P.C.T)
Step-by-step explanation:
From the given figure, ignoring the fact that she rotated it, we can prove that the two triangles are congruent by RHS congruence criterion.
After proving so, we can use C.P.C.T to find the relations.
Hope it helps. Thank you :)
Simplify. -15 times the square root of y^2 if y>0
Answer:
-15y
Step-by-step explanation:
The square root of any squared number is always the number itself.
So in this case, it is -15y
Brainliest please. It'll help a lot.
Answer:
- 15y---------------------------------
Simplify the expression:
[tex]-15\sqrt{y^2}[/tex]We know the square root is never negative and since y is positive, we get:
[tex]-15\sqrt{y^2} =-15y[/tex]tinkerbell is gathering data on the number of girls and boys that go on a particular ride at disneyland one morning she observes that 300 girls go on the ride and 500 boys go on the ride this represents the ratio of girls and boys that go on the ride complete the table below to show this relationship explain or show how you completed the table
Girls Boys Total
blank blank 8
6 blank blank
blank 20 blank
30 blank blank
300 500 800
blank 800 blank
The complete table is given in the solution.
What is ratio?A ratio is a way to show a relationship or compare two numbers of the same kind. We use ratios to compare things of the same type.
Given that, at Disneyland there are 300 girls go on the ride and 500 boys go on the ride this represents the ratio of girls and boys that go on the ride
The ratio of girls to boys = 3:5
Therefore, The complete table is as follows:-
Girls Boys Total
3 5 8
6 10 16
12 20 32
30 50 80
300 500 800
480 800 1280
Hence, the complete table is above
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Function Representations
In this activity, you will use multiple representations of relationships to identify key features and solve problems.
Ryan conducted a 6-day study observing the effects of an organic plant food on the growth of his sprouting bean plant. He tracked these two pieces of information:
the amount of plant food remaining in the container after each day’s feeding
the height of the plant over time
Answer:
See joint picture.
Step-by-step explanation:
The study lasts 6 days. Since the amount of plant food decreased an equal amount each day, and since the whole 72 millimeters were used, it means that plants consumed 72/6 = 12 millimeters daily.
All the results given come from this justification.
The required consumption of each day is 12 mm.
Ryan conducted a 6-day study observing the effects of an organic plant food on the growth of his sprouting bean plant. He tracked these two pieces of information
The statistic is the study of mathematics which deal with relations between comprehensive data.
Since
observation run for 6 days and have 72 mm of food has been fed each day.
at the end of 6 day food remains 0 mm i.e.
Rate at which food has been fed for each day is given by
= 72/6 = 12
12 mm of food has been fed every day for to the 6 days.
At day 0 we have 72 mm of food
At day 1 we have 60 mm of food
similary for
At day 6 we have 0 mm of food
Thus the graph has been attached below for the values of x
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Solve on the interval [0,2pi): 1- cos0= 1/2
Using an inverse trigonometric function, we will find that the solution is:
θ = 1.047
How to solve that equation?Here we want to solve the equation:
1 - cos(θ) = 1/2
Such that θ ∈ [0,2pi)
Now let's return to our equation:
1 - cos(θ) = 1/2
1 - 1/2 = cos(θ)
1/2 = cos(θ)
Now we could apply the inverse cosine function to both sides, then we will get:
Acos(1/2) = Acos(cos(θ))
1.047 = θ
That is the solution.
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ale mosquitos have pretty short lifespans. Males of a certain species have lifespans that are strongly skewed to the right with a mean of 888 days and a standard deviation of 666 days. A biologist collects a random sample of 363636 of these male mosquitos and observes them to calculate the sample mean lifespan. What is the probability that the mean lifespan from the sample of 363636 mosquitos \bar x x ˉ x, with, \bar, on top exceeds 101010 days
Answer:
0.0228 = 2.28% probability that the mean lifespan from the sample exceeds 10 days.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of 8, standard deviation of 6, sample of 36:
This means that [tex]\mu = 8, \sigma = 6, n = 36, s = \frac{6}{\sqrt{36}} = 1[/tex]
What is the probability that the mean lifespan from the sample exceeds 10 days?
This is 1 subtracted by the pvalue of Z when X = 10. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{10 - 8}{1}[/tex]
[tex]Z = 2[/tex]
[tex]Z = 2[/tex] has a pvalue of 0.9772
1 - 0.9772 = 0.0228
0.0228 = 2.28% probability that the mean lifespan from the sample exceeds 10 days.
Joe wrote an inequality
for each of the following
statements. Decide whether
Joe's written inequality is
TRUE or FALSE based on
what's typed and compare it
to what he actually wrote.
A
The sum of a number and 7 is not more than 10
x + 7 < 10
B
The product of a number and 4 is at least 20
4X > 20
C
The difference between a 15 and a number is at most 12
15-x>12
D
The quotient of a number and 8 is greater than or equal to
8x <3
Answer:Please see answer in explanation column
Step-by-step explanation:
A
The sum of a number and 7 is not more than 10
Given answer: x + 7 < 10 , This is false
Reason :Not more than 10 means at most 10, less than or equal to 10 , " or " not greater than 10 "and therefore the correct inequality is written as
x + 7 ≤ 10
B
The product of a number and 4 is at least 20
Given answer: 4X > 20 ---- False
Reason :At least 20 means at no less than 20 " or " greater than or equal to 20 therefore the correct inequality is written as
4X ≥ 20
C
The difference between a 15 and a number is at most 12
Given answer: 15-x>12----False
Reason :At most 12 means " no more than 12 , " " less than or equal to 12 , " or " not greater than 12"therefore the correct inequality is written as
15-x ≤ 12
D
The quotient of a number and 8 is greater than or equal to
Given answer 8x <3 --False
Reason : It clearly stated greater than or equal to 3. Therefore the correct inequality is 8x ≥ 3
What is the equation of a line with a slope of 3 and a point (3. 1) on the line? Express the equation in the form of y Enter your answer in the box mz+ b where m is the slope and b is the y-intercept
A line with a slope of three and the point three on the line have the equation y=3 z+1. The equation of a straight line can be found using the formula y = mx + b.
What do you meant by y-intercept ?If a line has a slope of 3 and a y intercept of 1, you need to determine its equation. Remember the line's equation by first going back: when y=mz+b , M is the slope, and Y-intercept b is the value.
In order to solve for y in the equation y=m z+b, all you need to do is swap out m for 3, the slope you provided, and b for 1, the y-intercept. The line's equation is given by y=3 z+1, where z represents the line's y-intercept and slope. If you are aware of the slope of the line being studied and the provided point is also the y intercept, you can utilise the slope intercept formula, y=mx+b (0,b).
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Drag the names to match the geometric terms as shown in the diagram.
Just so you know, there's no diagram
pls help last test of semester half my grade please complete entire table i give brainliest
b.) Suppose the Governor of Louisiana decided that all license plates must begin with the
letter A on each license plate. How many fewer license plates would
Louisiana be able to issue using the Governor's mandate for license plates?
Answer: atleast alot
Step-by-step explanation:
Jessie pays $2 for each carnival ride plus $8
on food. His mom told him he could spend at
most $35. Write an algebraic inequality that
shows at most how many rides Jessie can
ride. Let x=number of rides he can get on.
Does anyone know the answer to this
Answer:
no what grade is it I'm so confused
The mean high temperature for 36 days in July in Detroit, Michigan was 88 degrees with a standard deviation of 6 degrees. The mean high temperature in Hilton Head, South Carolina for 49 July days was 91 degrees with a standard deviation of 7 degrees. At the .05 significance level, can we conclude that it is warmer in Hilton Head?
Answer:
dogwater literally free so freeee!!!!
Step-by-step explanation: