True or False. If the statement is False, explain why.
The decimal of 4/11 will terminate.

The length is 7.25 feet

Here the detail

The formula for rectangled-shaped area is multiply length and width

Area = Length x Width

In this case, we know that the area is 36.25 ft2 and the width is 5 feet

so we can divided the area and the width to solve the length

Area = Length x Width

36.25 = Length x 5

Length = 36.25 : 5

Length = 7.25 feet

Hence the length of the rectangular floor is 7.25 feet

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The expression for the total shaded area is in terms of x is

Area = (x + 5)(x - 3)

The top side of the diagram shows that the dimension for the shaded area has length = x + 5

The width of the shaded area is x - 3

Area of a rectangle is given by the formula

Area = Length * width

Area = (x + 5) * (x - 3)

Area = x² - 3x + 5x - 15

Area =  x²+ 2x - 15

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Answer:35 divide by 10.50= 3.33 = 4 hrs

Step-by-step explanation:

Answer:x=6

y=7

Step-by-step explanation:

x=5y-29

2(5y-29)-3y=-9

7y=49

y=7

x=5(7)-29

x=6

There are 12 free throws would he have been expected to make.

What is mean by Ratio?

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities.

Given that;

During basketball season josh made 3 out of every 7 free throw attempts in the last game.

Now,

Since, During basketball season josh made 3 out of every 7 free throw attempts in the last game.

Hence, Let number of free throws would he have been expected to make for attempted 28 free throws = x

So, We can formulate;

⇒ 3/7 = x/28

Solve for x as;

⇒ 3 × 28 / 7 = x

⇒ x = 3 × 4

⇒ x = 12

Thus, There are 12 free throws would he have been expected to make.

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Answer: 18 gallons

Step-by-step explanation:

648/36 = 18

By using the concept of mean and standard deviation, it can be inferred that

The the drug stays in the system for more than 397 minutes

What is mean and Standard Deviation?

Suppose there is a data set and the average of the data set has to be calculated. To calculate the average of the data set, mean is used

To know about Standard Deviation, it is important to know about Variance

Variance is the sum of the square of deviation from mean.

Square root of the variance gives the standard deviation

Given n = 35,

Population mean  = 397

Population Standard Deviation  = 18

Here the sample size is large. So the distribution is approximately normal

To test :

Test statistic t =

                      = 1.97

p value at  = 0.0244

Since 0.0244 < 0.05, the null hypothesis is rejected

So the the drug stays in the system for more than 397 minutes

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The instantaneous rate of change of power with respect to velocity is 1.6 W/mph.

What is the rate of change function?

The pace at which one quantity changes in relation to another is known as the rate of change function.

Given, P = 0.015[tex]V^{3}[/tex]

Differentiating P with respect to V:

P′=(0.015)(3)[tex]V^{2}[/tex]

At V = 5.9 mph, then

P′=(0.015)(3)[tex]5.9^{2}[/tex] = 1.6 W/mph

Hence, the instantaneous rate of change of power is 1.6 W/mph.

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Answer:

slope intercept form:

y = [tex]\frac{5}{4}[/tex] x - [tex]\frac{7}{2}[/tex]

Step-by-step explanation:

m = 5/4

x = 2   from the point (2,-1)

y = -1   from the point (2,-1)

y = mx + b

-1 = [tex]\frac{5}{4}[/tex] ([tex]\frac{2}{1}[/tex]) + b

-1 = [tex]\frac{10}{4}[/tex] + b

-1 = [tex]\frac{5}{2}[/tex] + b   Subtract [tex]\frac{5}{2}[/tex] from both sides

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

[tex]\frac{-7}{2}[/tex] = b

y = mx + b

y = [tex]\frac{5}{4}[/tex] x - [tex]\frac{7}{2}[/tex]

Answer:

if you need the equation: y + 1 = [tex]\frac{5}{4}[/tex] (x-2) or y + 1 = [tex]\frac{5}{4}[/tex] x  [tex]-\frac{5}{2}[/tex]

the answer: y = [tex]\frac{5}{4}[/tex] x [tex]-\frac{7}{2}[/tex]  

Step-by-step explanation:

Kind of explanatory you have a slope and a point, your formula is going to be y-y₁ = m(x-x₁)

Step-by-step explanation:

The distance from zero that a number is on the number line without considering Direction

Answer:

The temperature increased in 30 degrees Celsius

Step-by-step explanation:

Answer: 12 dimes, 48 nickles.

Step-by-step explanation:

Let x = the number of dimes

Let 4x = the number of nickels

x + 4x = 60

5x = 60

x = 12 dimes

4x = 48 nickles

She has 48 nickels and 12 dimes.

Equation

At first, we have to express the sentence into equation:

Given:

x = nickels

y = dimes

Susan has a collection of 60 nickels and dimes  --> x + y = 60 ............. (1)

the number of nickels is four times the number of dimes --> x = 4y ......(2)

then we must input the equation (2) into the equation (1):

x + y = 60

4y + y = 60

5y = 60

y = 60/5

y = 12

As we know the value of y, we can calculate the value of x from the equation (2):

x = 4y

x = 4 * 12

x = 48

Thus, Susan has 48 nickels and 12 dimes

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The x-intercept is (5,0)

The y-intercept is (0,10)

What is intercept ?

A y-intercept, also known as a vertical intercept, is the point where the graph of a function or relation intersects the y-axis of the coordinate system in analytical geometry, using the widely used convention that the horizontal axis represents a variable x and the vertical axis represents a variable y. As a result, x = 0 is satisfied at these sites.

A line's x-intercept and y-intercept are the points at which the x- and y-axes cross, respectively.

To find x-intercept we put y = 0 to the equation

4x + 2y = 20

4x = 20

x = 5

To find y-intercept we put x = 0 to the equation

4x + 2y = 20

2y = 20

y = 10

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Answer:

0.3756

Step-by-step explanation:

I believe this is a combinatorics probability problem.

We first figure out in how many ways we can choose 3 cats out of 14 cats

Then we figure out how many ways we can choose 2 dogs out of 7 dogs

The total number of ways to select 3 cats and 2 dogs will be the product of these two

We then figure out in how many ways we can select 5 animals out of a total of 21 animals

The product we computed divided by the above number will give the probability

The number of ways we can choose k items out of n items is given by nCk i.e n Choose k

The formula is rather complicated but almost all calculators should be able to compute this given n and k

Let's deal with the selection of 3 cats from the population of 14 cats

This is given by 14C₃ which works out to 364

Number of ways for selecting 2 dogs from 7 dogs = 7C₂ = 21

Number of ways of selecting 5 animals from 21 = 21C₅ = 20349

The probability of selecting 3 cats and 2 dogs is therefore:

[tex]\dfrac{364 \times 21}{20349} = 0.3756[/tex]

That, I believe is the answer. Please let me know if it is correct and if you need more info.

The price Jason paid per gallon of gas on this fill-up is $0.03 per gallon

Based on the given task content; this can be solved using the division method.

Total 35 miles in Jason's odometer = Total miles / 35

= 43,156.1 / 35

= 1233.031428571428

Approximately,

1,233.03 of 35 miles per gallon

Amount Jason paid per gallon of gas on this fill-up = 1,233.03 / $34.24

= 0.027768991833126

Approximately,

$0.03 per gallon

In conclusion, the amount Jason paid per gallon of gas is $0.03 per gallon

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Answer: C. y=80

Step-by-step explanation:

1. Based on the given conditions, formulate: x=7

2. Calculate: Substitute   x=7 into y=2x(to the power of) - 3x+3

y=80

3. Then find the correct option: C

Answer:No solution

Step-by-step explanation:

The solution of the equation is 4. Once you plug in 4, you will find that it does not fit

1-2 does not equal to 3

Sydney has biked `35` miles.

Answer:

[tex]\frac{13}{30}[/tex]

Step-by-step explanation:

Answer:

2/7

Step-by-step explanation:

2 parallel lines have the same slope

we just need to find the slope of the line with the point’s connecting O and P

We use y2-y1/x2-x1 to find slope

3-1/2-(-5)

2/7

2/7 is the slope

Hopes this helps please mark brainliest

a) The dot plot of the data-set is given by the second image shown at the end of the answer.

b - i) The mean of the distribution is of: 1.6 goals.

b - ii) The median of the distribution is of: 1.

b - iii) The mode of the distribution is of: 1 goal.

The mean is given by the sum of all observations of the data-set, hence it is of:

Mean = (0 x 5 + 1 x 6 + 2 x 4 + 3 x 3 + 4 x 1 + 5 x 1)/20 = 1.6.

The median of the distribution is the middle value of the distribution, which is the value of which half the distribution is less than and half is greater than.

Adding in the frequency table given at the end of the answer, it is found that the middle term is of 1, as the sum of the frequencies reaches 10, which is half of the cardinality of 20, at a number of 1.

The mode is the term with the highest absolute frequency, hence it is also of one goal, as it has the highest absolute frequency, which is of 6.

The dot plot gives a dot to each measure for each time that it appears, hence it says the same thing as the table, in a different format.

The table is given by the first image shown at the end of the answer.

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An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The cost of each chair is $2.25.

The cost of each table is $8.25.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example: 2x + 4 = 5 is an equation.

We have,

Cost of each chair = x

Cost of each table = y

Now,

2x + 6y = 54 _____(1)

5x + 3y = 36 ______(2)

From (1) we get,

2x = 54 - 6y

x = (54 - 6y)/2 ______(3)

Now,

Putting (3) in (2) we get,

5(54 - 6y)/2 + 3y = 36

270/2 - 30y/2 + 3y = 36

135 - 15y + 3y = 36

99 = 12y

y = 99/12

y = 8.25 ______(4)

Now,

Putting 4 in (3) we get,

x = (54 - 6 x 8.25) / 2

x = 4.5/2

x = 2.25

Thus,

The cost of each chair is $2.25.

The cost of each table is $8.25.

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The present value​ the amount that should be invested now to accumulate is $7662.24.

Compound interest is the adding of interest to the principal amount of a loan or deposit, or interest on interest + principal. It is the outcome of reinvesting interest, or adding it to lent capital, rather than paying it out or requesting payment from the borrower, so that interest is received on the principle sum plus previously accumulated interest in the next month. In finance and economics, compound interest is common.

Compound interest differs from simple interest in that previously collected interest is not added to the current period's main amount, resulting in no compounding. The simple annual interest rate is calculated by multiplying the interest amount per period by the number of periods in a year.

Given,

Principle P=$6800

T=3 years

And also given that the money is compounded quarterly.

Present value=P[tex](1+(R/4)^{4t}[/tex]

=6800[tex](1+(4/400)^{12}[/tex])

=6800[tex](1+(1/100))^{12}[/tex]

=6800[tex](101/100)^{12}[/tex]

=6800[tex](1.01)^{12}[/tex]

=6800×1.1268

=$7662.24

The present value​ the amount that should be invested now to accumulate is $7662.24

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The quadratic function that models the graph on the image is given as follows:

y = (x - 1)² - 1.

The features of the quadratic equation given from the graph are given as follows:

The equation of a quadratic function with vertex (h,k) is defined as follows:

y = a(x - h)² + k.

In which a is the leading coefficient of the function.

From the graph, the coordinates of the vertex are given as follows:

(1,1).

As the vertex is the turning point of the function.

Hence the parameters h and k have values of:

h = 1, k = 1.

Hence:

y = a(x - 1)² + 1.

The y-intercept of the function is of:

y = 2.

This means that when x = 0, y = 2, hence the leading coefficient a is obtained as follows:

2 = a(0 - 1)² + 1

a = 1.

Hence the equation is of:

y = (x - 1)² - 1.

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keeping in mind that a function does not have any X-Repeats, that is, the 1st coordinate in every pair never repeats, Check the picture below.

Answer:

18n + 9

Step-by-step explanation:

Distribute 9 into the expression.

9*2n = 18n

9*1 = 9

18n + 9

x=-6 and y=0 are solutions for the equations 2x+5y=-12.

Two or more expressions with an Equal sign is called as Equation.

Given equations,

-x+y=6...(1)

2x+5y=-12 ...(2)

From equation 1

y=6+x

Now put y value in 2

2x+5(6+x)=-12

2x+30+5x=-12

7x+30=-12

Subtract 30 on both sides

7x=-12-30

7x=-42

Divide both sides by 7

x=-6

Now plug in x value in equation 1

-(-6)+y=6

6+y=6

y=0

Hence, x=-6 and y=0 for the equations 2x+5y=-12.

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Answer: tuna sandwich

Step-by-step explanation: 2+5=7