Find the equation of the line that passes through (2,8) and (6,48)

Answer:

The maximum height that the rocket will reach is 271 feet.

Step-by-step explanation:

We first calculate the time, t it takes the rocket to reach maximum height from v = u - gt. Since u = initial velocity = 128 ft/s, v = velocity at maximum height = 0  ft/s and g = acceleration due to gravity = 32 ft/s².

So, v = u - gt.

t = (u - v)/g

= (128 ft/s - 0 ft/s)/32 ft/s²

= 128 ft/s ÷ 32 ft/s²

= 4 s.

We calculate the maximum height from

y - y₀ = ut - 1/2gt² where y₀ = 15 ft and all other variables are as above.

Substituting these values into the equation, we have

y - y₀ = (u - 1/2gt)t

y - 15 ft = (128 ft/s - 1/2 × 32 ft/s² × 4 s) × 4 s

y - 15 ft = (128 ft/s - 64 ft/s)4 s

y - 15 ft = 64 ft/s × 4 s

y - 15 ft = 256 ft

y = 256 ft + 15 ft

y = 271 ft

So, the maximum height that the rocket will reach is 271 feet.

Answer:

The relation found by interchanging the range and the domain of a given function.

Step-by-step explanation:

Answer:

The slope is -1/2

The slope is after the "y=" but before the "x" variable.

Answer:

500 cupcakes

Step-by-step explanation:

Given that the 145 cupcakes is 29% of the total number of cupcakes sold that day,

29% --- 145 cupcakes

The total number of cupcakes sold would be 100%.

1% --- 145 ÷29= 5 cupcakes

100% --- 100(5)= 500 cupcakes

Thus, the bakery sold 500 cupcakes that day.

Answer:

Step-by-step explanation:

500 cupcakes

Step-by-step explanation:

Given that the 145 cupcakes is 29% of the total number of cupcakes sold that day,

29% --- 145 cupcakes

The total number of cupcakes sold would be 100%.

1% --- 145 ÷29= 5 cupcakes

100% --- 100(5)= 500 cupcakes

Thus, the bakery sold 500 cupcakes that day.

Step-by-step explanation:

Given the following expression;

Math Game: M(d)=x^2-9x-10

Reading Game: R(d)=2x+10

x is the number of days since the games went on sale

In order to determine after how many days the revenue for each game wil be the same, we will equate M(d) to R(d)

M(d) = R(d)

x^2-9x-10  = 2x+10

x^2-9x-10 -2x-10 = 0

x^2-11x-20 = 0

factorize

x = 11±√121-4(-20)/2

x = 11±√121+80/2

x = 11±√201/2

x = 11±37.16/2

x = 11+37.16/2

x = 48.16/2

x = 24.06

Hence the revenue for each game will be the same after 24 days

It takes about 13 days for the revenue for each game the same.

Revenue is the amount of money made from selling a particular amount of products.

Given that the revenue is given by:

Math Game: M(d)=x²-9x-10

Reading Game: R(d)=2x+10

For both games to have the same revenue, hence:

M(d) = R(d)

x² - 9x - 10 = 2x + 10

x² - 11x - 20 = 0

x = -1.6 or x = 12.6

Since the number of days cannot be negative, hence it takes about 13 days for the revenue for each game the same.

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Answer:b

Step-by-step explanation:

The equation for the perpendicular bisector of line segment XY is 2x + y = 7, the correct option is A.

The standard equation of a line is given by

y = mx+c

Here m is the slope and c is the y intercept

The slope can be determined by

m = (y₂ -y₁)/(x₂ -x₁)

The line segment XY  has the points  X(5, 7) and Y(–3, 3).

The slope of the line is,

m = ( 3 - 7) /( -3 - 5)

m = -4 / -8

m = 1 /2

The product of the slope of a line and a line perpendicular to it is -1.

( 1/2) * m' = -1

m' = -2

As it is a bisector , the midpoint of X and Y will be the point on the line.

Midpoint of XY is ( ( 5 -3)/2 , (7+3)/2 )

Midpoint of XY is ( 1 , 5)

The equation of the perpendicular bisector of line segment XY is,

y = -2x +c

5 = -2 + c

c = 7

So, the equation is,

y = -2x +7

2x +y = 7

To known more about standard equation of a line

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Answer:

25,000,000

Step-by-step explanation:

Answer: 1, 3, 4, and 5

Step-by-step explanation:

Divine the total number of the entire chart by the number of a single line or bar to give you the ratio in a bar or line chart. For example, if a bar or line represented 5 in a chart with a total of 30, you would divide 30 by 5. This would give you a result of 6. Therefore, the ratio would be 6:1.

Answer:

20

Step-by-step explanation:

0.25(x+40) = 3+0.75(x - 4)

Answer:

-1

Step-by-step explanation:

Because

Answer:

1 cup

Step-by-step explanation:

1/5 + 4/5 = 5/5 = 1 cup

Answer:

56

Step-by-step explanation:

Cube root of 175616 by prime factorization method is 56

Solution:

To find cube root of 175616 by prime factorization method

A number that must be multiplied by itself three times to equal a given number is called cube root

Prime factorization method:

Prime factorization is a number written as the product of all its prime factors.

In order of finding cube root by prime factorization we use the following steps:

Step I : Obtain the given number

Step II : Resolve it into prime factors.

Step III : Group the factors in 3 in such a way that each number of the group is same

Step IV : Take one factor from each group

Step V : Find the product of the factors obtained in step IV. This product is the required cube root

Prime factorization of 175616:

\text{ prime factors of 175616 } = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 7 \times 7 \times 7 prime factors of 175616 =2×2×2×2×2×2×2×2×2×7×7×7

Thus we get,

\sqrt[3]{175616} = \sqrt[3]{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 7 \times 7 \times 7}

3

175616

=

3

2×2×2×2×2×2×2×2×2×7×7×7

Make the groups of 3 of equal numbers

\sqrt[3]{175616} = \sqrt[3]{2 \times 2 \times 2} \times \sqrt[3]{2 \times 2 \times 2 \times } \times \sqrt[3]{2 \times 2 \times 2} \times \sqrt[3]{7 \times 7 \times 7}

3

175616

=

3

2×2×2

×

3

2×2×2×

×

3

2×2×2

×

3

7×7×7

So there are 4 equal groups. So from that group take one factor out

\sqrt[3]{175616} = 2 \times 2 \times 2 \times 7 = 56

3

175616

=2×2×2×7=56

Thus Cube root of 175616 by prime factorization method is 56

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Answer:

Step-by-step explanation:

6 + a

Putting value of a

6 + 3 = 9

5b

Putting value of b

5(2) = 10

C - 1

Putting value of c

12 - 1 = 11

Answer:

The difference between the lowest and highest values. In {4, 6, 9, 3, 7} the lowest value is 3, and the highest is 9, so the range is 9 − 3 = 6. Range can also mean all the output values of a function.

Step-by-step explanation:

Hope this helps!

The range is the set of all possible output values

Answer:

f = [tex]\frac{1}{9}[/tex] [C - 4(h - p)] grams

Step-by-step explanation:

Given that:

   C = 4h + 9f + 4p

where: C is the calorie count contained in the serving, h is the number of grams of carbohydrate contained in the​ serving, f is the number of grams of fat contained in the​ serving, and p is the number of grams of protein contained in the serving.

To solve for the number of grams of fat, then;

C - 4h - 4p = 9f

C - 4(h - p) = 9f

Divide through by 9, so that:

[tex]\frac{C - 4(h - p)}{9}[/tex] = [tex]\frac{9f}{9}[/tex]

[tex]\frac{C - 4(h - p)}{9}[/tex] = f

∴     f = [tex]\frac{1}{9}[/tex] [C - 4(h - p)]

The number of grams of fat, f, contained in a serving of food is [tex]\frac{1}{9}[/tex] [C - 4(h - p)]

Answer:

Nonlinear have a good day

Step-by-step explanation:

Answer:

x =4  &  y=0

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation

Answer:

X=4, Y=4

Step-by-step explanation:

First Solve for y

y= 4-x

Sub that in for y on the other equation.

2x-4-x=8

x=4

Answer:

B

Step-by-step explanation:

Answer:

its 7/3 . multiplicative inverse is just its opposite

Answer:

It will take 10 days

Step-by-step explanation:

Here, we want to know the number of days it will take for Bernardo to clear the debt he owes his father.

We proceed as follows;

Let the number of days be x

So after x days, there will be an interest of x * 1 = $90

So the amount of money he owes his father after x days will be $(90 + x)

After x days, the amount he would have earned from mowing lawns will be x * 20 = $20x

He intend using half of this to clear the loan

Half of this is 20x/2 = $10x

We know that this amount is enough to clear the loan, so we equate this value to the amount he wants to use to clear the loan

So;

90 + x = 10x

90 = 10x - x

9x = 90

x = 90/9

x = 10

Answer:

Kendal will be 60 meters away from the library after 80 seconds and again after 100 seconds.

Step-by-step explanation:

6s -540 = 60 or 6s - 540 = -60

First equation

addition property of equality: 6s -540 + 540 = 60 + 540

simplify: 6s = 600

division property of equality: 6s/6 = 600/6

simplify: s = 100

Second equation

addition property of equality: 6s -540 + 540  = -60 + 540

simplify: 6s = 480

division property of equality: 6s/6 = 480/6

simplify: s = 80

Answer:

We need help someone please help us please

Step-by-step explanation:

Answer:no

Step-by-step explanation:

U add shush and shush

To solve this youd have to do 72-15 which equals out to be 68 feet.

Your answer is The submarine descended 68 feet.

19 + X > 26

X > 7

To break your record you need more than 7 digs

Answer:

Hope this helps any! I hope this is right!

Step-by-step explanation:

8:24

4:12

16:48

Answer:

10.4443

I hope this helps :D have a good day!