Two people swing a jump rope. The highest point in the middle of the jump rope is 76 inches above the ground, and the lowest point is 4 inches. The rope makes 4 revolutions per second. Write a model for the height of the rope in inches as a function of time in seconds given that the rope starts at its lowest point.

Answer:

15m-30

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The expression in simplified form, obtained from the distributive property of multiplication over addition is; 15·m - 30

The distributive property of multiplication over addition states that for numbers, a, b, and c, we get;

a·(b + c) = a·b + a·c

The expression, 5·(3·m - 6) can be simplified by applying the distributive property of multiplication as follows;

5·(3·m - 6) = 5 × 3·m + 5 × (-6) = 15·m - 30

The simplified form of the expression is therefore; 15·m - 30

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Answer:

The bus will take less consumption and by 60 litre

Bus uses less gasoline by 601.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Case 1: Bus

Consumption/ 100Km= 301

and, for 250 Km= 301 /100 x 250

                          = 751

Case 2: Car

Total = 80 people

Total cars= 30/5 = 6

Consumption/ 100Km= 91

and, for 250 Km= 91 /100 x 250

                          = 22.51

Consumption by 6 cars = 6 x 22.51 = 1351

Difference between Gasoline Consumption = 1351-751 = 601

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Answer:

B. He should focus on females because the ratio of females to males is 5:2.

Step-by-step explanation:

By looking at the graph, you can see that there are 25 females and 10 males. The ratio for this is 25:10, but we can simplify by dividing both sides by 5! 25/5=5, and 10/5=2, so the simplified ratio of 25:10 is 5:2. If you look at all of the answer choices, you really don't have to look at the words a lot; there's only one choice that includes the ratio 5:2. That choice is B, so B is the answer!

Hope this helps you out!! Have an amazing day o(*^▽^*)o

Step-by-step explanation:

Area of trapezium = ½×(sum of parallel side)×height

=½×(7.9+10.8)×6.2

=½×18.7×6.2

=18.7×3.1. [½×6.2=3.1]

=57.97

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Hope it helped you

If not then I am sorry for that

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Bye

Answer:

(11/20 by 19/40 by 1/40) OR (0.55 by 0.475 by 0.025)

Step-by-step explanation:

To scale down a set of measurements, simply multiply the original measurement by the factors you're scaling it by. For example, take the first measurement of 5 1/2. To scale this down, I turned the value into an improper fraction (11/2) to make the multiplication process easier. Then, I multiplied 11/2 by the factor of 1/10.

After that, I got 11/20, which is the new first measurement.

Answer:

Area of parallelogram: 1/2×h×sum of base lengths

Property of parallelogram: 2 parallel sides

Area = 1/2×4×(9+9)

        = 36 cm^2

Answer:

number 2. is 64 because you have two eight-sided number cubes. so you do 8 time 8 and you get 64.

Step-by-step explanation:

Hello and Good Morning/Afternoon

Let's take this problem step-by-step:

What does this problem want us to find:

\(\hookrightarrow \text{The slope-intercept form}: y= mx + b\)

Let's find the slope:

    \(m = \dfrac{y_2-y_1}{x_2-x_1} = \dfrac{2-3}{4-0} =-\dfrac{1}{4}\)

Let's find the y-intercept:

 ⇒ the value of the y-coordinate when the x-coordinate value is '0'

    ⇒ thus it is '3'

Our equation is:

 \(y=-\dfrac{1}{4} x+3\)    <=====  Answer

Hope that helps!

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Greetings from Brasil...

One way to solve this question is through a determinant.

| X     Y     1 |

| X₁    Y₁    1 |  = 0

| X₂    Y₂   1 |

as

(X₁; Y₁) = (0; 3)

(X₂; Y₂) = (4; 2)

then

| X   Y  1 |

| 0   3   1 |  = 0

| 4   2   1 |

Answer:

21

Step-by-step explanation:

73.5 divided by 3.5 is 21 meaning that 21 sheet cakes can be made.

The number of sheet cakes that can be made from 73.5 cups of flour is 21.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number of cups of flour the bakery has = 73.5

The number of cups of flour each sheet required = 3.5

Now,

The number of sheets that can be made from 73.5 cups of flour.

= 73.5 ÷ 3.5

= 21

Thus,

The number of sheet cakes is 21.

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Answer:

135

Step-by-step explanation:

volume of prism = base area × height

= 9/4 * 3/4 * 5/4 = 135/64 cm^3

volume of each cubes = 1/4* 1/4 * 1/4 = 1/64

required no. of cubes

= 135/64/1/64 = 135

Answer:

B>-1 1/4

Step-by-step explanation:

The rational number is one tick mark to the right of -6/4 is \(-1\frac{1}{4}\).

A straight line of numbers is shown visually as a number line. This line is used to compare integers on an endless line that extends on both sides, either horizontally or vertically, at equal intervals. On a horizontal number line, the numbers grow as we walk to the right and decrease as we move to the left.

Given the number -6/4,

if we go right of -6/4 it is moving towards -1

the points right to -6/4 are -5/4, -4/4,....

the next point right of -6/4 is -5/4

the mixed form of -5/4 is  \(-1\frac{1}{4}\).

Hence option B is correct.

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Answer:

0.35(800)=x

x=number of tickets sold in advance

Step-by-step explanation:

Answer:

Divide 35÷100 which equals 0.35 then multiply 0.35×800 which equals 280 so the answer is 280 so the equation is 0.35×800=280.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The probability of rolling a number less than or equal to 5 on a fair number cube (also known as a fair six-sided die) is 5/6.

Justification: A fair number cube has six sides, numbered 1 through 6. Out of these six numbers, there are five numbers (1, 2, 3, 4, and 5) that are less than or equal to 5. Therefore, the favorable outcomes are 5, and the total possible outcomes are 6. Thus, the probability is 5/6.

Answer:

B

Step-by-step explanation:

2X4y = 8y

2X 1 = 2

8Y - 2 = 6

+2. +2

8Y = 8

8Y ÷ 8

Y = 1

Hey There!!

The answer to this is: isosollese triangle has 2 equal sides that are longer than legnth of base

perimiter=15.7

equation is 2a+b=15.7

so if the longer side is 6.3, wat is legnth of base

we know that identical sides are bigger so 6.3 is one of the identical sides

2a means the 2 idneical sides

2(6.3)+b=15.7

12.6+b=15.7

subtract 12.6 from btohs ides

b=3.1

Thus, answer is base=3.1 cm

Hope It Helps!~