Solve for a: a = 10.
a = , ,

The option D that is "Renting a movie for $2 for the first day and $1 for each day after the first day" shows a proportional relationship as they are in proper ratio.

Relationships between two variables that are proportional occur when their ratios are equal. Another way to consider them is that in a proportional relationship, one variable is consistently equal to the other's constant value. The "constant of proportionality" is the name of this constant.

A ratio in mathematics demonstrates how many times one number is present in another. For instance, if a bowl of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six. The ratio of oranges to the total amount of fruit is 8:14, and the ratio of lemons to oranges is 6:8.

As they are in the right ratio, option D, "Renting a movie for $2 for the first day and $1 for each day after the first day," demonstrates a proportional relationship.

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ANSWER

EXPLANATION

We want to find the derivative of the function:

The quotient rule states that:

where u = the numerator of the function

v = the denominator of the function

From the function, we have that:

Now, we have to differentiate both u and v:

Therefore, the derivative of the function is:

Solution:

The number of food items is given by the following expression:

4 cereal boxes + 6 cans+ t pieces of fruit+ 2 bags of rice

that is, she organizes

4+6+t+2 meals

this is equivalent to

(4+6+2)+t

this is equivalent to say

12 + t meals.

So that the correct answer is:

12 + t

[tex]\frac{4}{5}[/tex].

[tex]1+\frac{2}{5} -\frac{6}{10}[/tex]

A common denominator is just a number that can be used as a denominator all fractions when we convert them through multiplications. A common denominator is usually found just by multiplying all denominators of all fractions. In this case, we don't need to go that far, since 5 could be a common denominator.This is how you do it:

[tex]1=\frac{1}{1} *\frac{5}{5}=\frac{5}{5} \\ \\\frac{2}{5}= \frac{2}{5}\\\\\frac{6}{10} =\frac{6/2}{10/2}=\frac{3}{5}[/tex]

[tex]\frac{5}{5} +\frac{2}{5} -\frac{3}{5} =\frac{5+2-3}{5} =\frac{4}{5}[/tex]

[tex]1+\frac{2}{5} -\frac{6}{10}=\frac{4}{5}[/tex].

[tex]\frac{4}{5}[/tex].

[tex]1+\frac{2}{5} -\frac{6}{10}[/tex]

A common denominator is just a number that can be used as a denominator all fractions when we convert them through multiplications. A common denominator is usually found just by multiplying all denominators of all fractions. In this case, we don't need to go that far, since 5 could be a common denominator.This is how you do it:

[tex]1=\frac{1}{1} *\frac{5}{5}=\frac{5}{5} \\ \\\frac{2}{5}= \frac{2}{5}\\\\\frac{6}{10} =\frac{6/2}{10/2}=\frac{3}{5}[/tex]

[tex]\frac{5}{5} +\frac{2}{5} -\frac{3}{5} =\frac{5+2-3}{5} =\frac{4}{5}[/tex]

[tex]1+\frac{2}{5} -\frac{6}{10}=\frac{4}{5}[/tex].

Given the expression:

You can factor it by following these steps:

1. Find the Greatest Common Factors (GCF) of the terms:

- The Greatest Common Factor (GCF) of the coefficients can be found by decomposing each coefficient into their Prime Factors:

Notice that all the coefficients have:

Therefore, that is the Greatest Common Factor (GCF) of the coefficients.

- The Greatest Common Factor (GCF) of the variables is the variable with the lowest exponent:

Hence:

2. Now you can factor it out:

Hence, the answer is:

Using the binomial distribution, the probabilities are given by the image at the end of the answer.

The probability mass function is given as follows:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters of the function are described as follows:

In the context of this problem, the values of these parameters are given as follows:

To complete the table, we find each probability, as follows:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{8,0}.(0.46)^{0}.(0.54)^{8} = 0.0072[/tex]

[tex]P(X = 1) = C_{8,1}.(0.46)^{1}.(0.54)^{7} = 0.0493[/tex]

[tex]P(X = 2) = C_{8,2}.(0.46)^{2}.(0.54)^{6} = 0.1469[/tex]

[tex]P(X = 3) = C_{8,3}.(0.46)^{3}.(0.54)^{5} = 0.2503[/tex]

[tex]P(X = 4) = C_{8,4}.(0.46)^{4}.(0.54)^{4} = 0.2665[/tex]

[tex]P(X = 5) = C_{8,5}.(0.46)^{5}.(0.54)^{3} = 0.1816[/tex]

[tex]P(X = 6) = C_{8,6}.(0.46)^{6}.(0.54)^{2} = 0.0774[/tex]

[tex]P(X = 7) = C_{8,7}.(0.46)^{7}.(0.54)^{1} = 0.0188[/tex]

[tex]P(X = 8) = C_{8,8}.(0.46)^{8}.(0.54)^{0} = 0.0020[/tex]

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A strategy is a way to manipulate numbers, use connections and interactions between numbers to solve an issue. For each procedure, there are a few key tactics. The first thing you do with the statistics is frequently used to categorize, characterize, or label a technique.

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2 3/24

Multiply the denominator by the whole number and add the numerator to obtain the new numerator. the denominator stays the same.

(2x24)+3 /24 = 48+3 /24 = 51/24

simplify by 3

17/8

Lets make a picture of our problem:

where h denotes the height of the box.

We know that the volume of a rectangular prism is

Since the volume must be 8 cubic centimeters, we have

Then, the height function is equal to

On the other hand, the function cost C is given by

that is,

which gives

By substituting the height result from above, we have

which gives

Now, in order to find minum cost, we need to find the first derivative of the function cost and equate it to zero. It yields,

which is equivalent to

by moving x squared to the left hand side and the number 8 to the right hand side, we have

Therefore, by substituting this value in the height function, we get

therefore, by rounding to the neastest hundredth, the height which minimize the cost is equal to 1.97 cm

Step-by-step explanation:

im still working on the 2nd part

Given

Part A

Part B

Part C

The question asks us to find the equation of a circle with diameter AB with coordinates:

A = (1, 1), B = (11, 11)

In order to solve this, we need to know the general form of the equation of a circle.

The general form of the equation of a circle is given by:

We have been given the coordinates of the diameter. This means that finding the midpoint of the diameter

will give us the center coordinates of the circle, which is (a, b).

The formula for finding the midpoint of a line is given below:

For better understanding, a sketch is made below:

Therefore, let us find the coordinates of the center of the circle using the midpoint formula given above:

Now that we have the coordinates of the center, we now need to find the value of the radius of the circle.

This is done by finding the length from the center of the circle to any side of the diameter.

Let us use from point (6,6) which is the center to the point (11, 11) which is one side of the diameter.

The formula for finding the distance between two points is given by:

hence, we can now find the square of the radius as:

Now that we have the radius, we can now compute the equation of the circle as:

A graph of the circle is given below:

ANSWER:

2

STEP-BY-STEP EXPLANATION:

The average rate of change is given by the following formula:

Since it is between 0 and 2 seconds, the values of a and b will be these respectively, the evaluated values can be determined by the graph, therefore:

The average rate of change is equal to 2 feet per second

Answer

The error in the solution is circled (red) in the picture below.

The equation can be solved correctly as follows

5 + 8h

h= number of hours

Replace h by 5 and solve

5 + 8(5)

5 +40

45

She will charge $45

The average rate of change from g(1) to g(3)

where

Hence the average rate of change is -6

Answer:

C

Step-by-step explanation:

the slope of a line is the ratio (y coordinate change / x coordinate change) when going from one point on the line to another.

in our case here we are going e.g. from the origin (0, 0) to (2, 4).

so, x changes by +2 (from 0 to 2).

y changes by +4 (from 0 to 4).

therefore, the slope is

+4/+2 = 2

FYI - the direction is not important. it works the same way in the other direction. but what is important : once you pick a direction for one coordinate, you have to use the same direction for the second one. you cannot go e.g. for x in one direction and for y in the other.

The right option is D as P(A and B) ≠ 0 only for the independent probability events for A and B.

Two events say A and B are said to be independent if the probability of the intersection of A and B is equal to the product of their respective probability, But same events are said to be mutually exclusive if the probability of the intersection of A and B is equal to zero(0).

In the given question, P(A and B) ≠ 0 can only be true if A and B are independent event and P(A) and P(B) are not equal to zero such that

P(A and B)=P(A)× P(B)≠ 0.

Hence, we can deduce from the axiom of independent events of probability that because both P(A) and P(B) are not equal to 0, P(A and B) ≠ 0.

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Okay, here we have this:

Considering the provided graph, we are going to find the requested measure, so we obtain the following:

Let us remember that a rectangle besides having the properties of a parallelogram also stands out because it has congruent diagonals. So considering this we have:

BD=EC

EF=BF

EF=22

Finally we obtain that EF is equal to 22 units.

Solution;

Given the results:

From the above data:

A) The low-end value is

B) The high end value is

C) Does this data set have outlier?

D) Outlier:

Explanation

By metric conversion

Therefore;

Answer:

Answer

Option C is correct.

AB = 6.3 units

Explanation

In a right angle triangle, the side opposite the right angle is the Hypotenuse, the side opposite the given angle that is non-right angle is the Opposite and the remaining side is the Adjacent.

Using trignometric relations, we can see that TOA wil work for this

Tan θ = (Opp/Adj)

θ = 40°

Opp = AB = ?

Adj = AC = 7.5 units

Tan 40° = (Opp/7.5)

Opp = AB = 7.5 (Tan 40°) = 6.3 units

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We have to find the vertical and horizontal lines that passes through the point (3,6).

A vertical line will be defined as x = constant. If it passes trough a point (x,1,y1), the line will be defined as a x=x1, so the point (x1,y1) belongs to the line.

The same goes for horizontal lines, but in this case the line is defined as y = constant.

For a point (x1,y1), the horizontal line that pass through the point will be y = y1.

Then, for point (x,y)=(3,6), the vertical and horizontal lines as:

x=3 and y=6.

Answer:

Vertical line: x = 3

Horizontal line: y = 6.

Given the function:

Where S’(t) Is the rate at which sales are increasing (in dollars per day). To find the sales from the second day through the 6th day, we need to integrate this function from t = 1 to t = 6:

We know that:

Then:

The sales from the 2nd day through the 6th day are $6,010.66

Answer:

No

Step-by-step explanation:

3 × [tex]\frac{2}{5}[/tex] = [tex]\frac{6}{5}[/tex] = 1 [tex]\frac{1}{5}[/tex] cups required to triple her recipe

she only has 1 cup

so does not have enough to triple her recipe

Answer:

No

Step-by-step explanation:

If she triples it that means you need to triple the 2/5 so she would neew 6/5 of flour which is 1/5 more than what she has.

Given the following question:

Your answer is 10.