A small town has two local high schools. High School A currently has 800 students and is projected to grow by 55 students each year. High School B currently has 950 students and is projected to grow by 25 students each year. Let AA represent the number of students in High School A in tt years, and let BB represent the number of students in High School B after tt years. Write an equation for each situation, in terms of t,t, and determine the interval of years, t,t, for which High School A will have more students than High School B.

Step-by-step explanation:

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The unknown side of the right angle triangle is the hypotenuse side of the triangle and the length to the nearest tenth is 20.5 cm.

Right angle triangle are triangle that has one of its angles as 90 degrees. The sides can be found using Pythagoras theorem.

Therefore,

c² = a² + b²

where

Hence,

15² + 14² = x²

225 + 196 = x²

x = √421

x = 20.5182845287

x ≈ 20.5 cm

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Answer:

Your answer is A. x=6

Step-by-step explanation:

plug in 6 for x and youll get your answer

Answer:

1

Step-by-step explanation:

there are 31 days in October so if he loses one each day he loses 31

Answer:

1) $343

2) $40

Step-by-step explanation:

1) Kathy paid (100 - 30)% of 490

so we can multiply 490 by 70%

490 x .7 = 343

2)  let 'x' = original price

if she's saving 10% (or .10) then she's paying 90% (or .90)

.9x = 36

x = 36/.9

x = 40

Answer:

neither

Step-by-step explanation:

exponential grows larger with each step and liner is constant

Answer:

Exponential because you don't start at 0

Step-by-step explanation:

Es probable que el número de personas a las que si les gusta comer huevo al desayuno todos los días sea 90 personas.

Según principios estadísticos, es posible determinar una tendencia general utilizando una muestra de la población. En otras palabras, es posible tener una idea aproximada de las preferencias de una población si se logran determinar las preferencias de un pequeño grupo de dicha población.

En este caso sabemos que la población total equivale a 3120 habitantes, la muestra equivale a 620 personas y en la muestra 18 personas comen huevo al desayuno todos los días.

Usando una regla de tres podemos determinar la tendencia general:

Es decir que aproximadamente 90 personas tienen esta misma preferencia.

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Answer:

6; 6⁒2

10; 10⁒2

0; 3(0)+3

1; 3(1)+3

2; 3(2)+3

3; 3(3)+3

4; 3(4)+3

Step-by-step explanation:

each line is in order.

Answer:

  6. inputs: 2, 6, 10

  8. inputs: 0, 1, 2, 3, 4

Step-by-step explanation:

Use your knowledge of arithmetic facts.

x = 2, 2÷2 = 1

x = 6, 6÷2 = 3

x = 10, 10÷2 = 5

__

x = 0, 3×0 +3 = 3

x = 1, 3×1 +3 = 6

x = 2, 3×2 +3 = 9

x = 3, 3×3 +3 = 12

x = 4, 3×4 +3 = 15

Answer:

Step-by-step explanation:

Answer:

volume of sphere is 4000cubic ft..... when

[tex]\pi = 3 \: and \: r = \frac{1}{2} d[/tex]

Answer:

it is 6°. because 10 degree - 4 degree = 6 degree

Answer:

c

Step-by-step explanation:

when we add 0 to x ,it remains x.

x+0=x

0 is additive identity.

Answer:

C

Step-by-step explanation:

Answer:A

Step-by-step explanation:because the numbers can be allowed to be repeated

Answer:

All real numbers

Step-by-step explanation:

It can go on to infinity.

Hope that helps

Answer:

31.33

Work:    

        1  1

        9.73

   + 21.60

--------------------

      31.33

Final Answer:

Therefore, 31.33 is our answer.

Hoped this helped.

Answer:

Anna, Quarters are worth more than dimes

Step-by-step explanation:

While they both have 102 coins, quarters have a higher value than dimes do. Every 4 quarters is a dollar, so 102 divided by 4 is 25.5. Every 10 dimes is a dollar, divide 102 by 10 and you get 10.2.

Answer:

Anna has more money than Jasmine. Anna has $25.50 while Jasmine has $10.20. There is a $15.30 difference.

Step-by-step explanation:

While they both have 102 coins, quarters have a higher value than dimes do. Every 4 quarters is a dollar, so 102 divided by 4 is 25.5. Every 10 dimes is a dollar, divide 102 by 10 and you get 10.2.

The given function is the rate of change of the water depth. therefore,

W'(t) is the second derivative.

Reasons:

The volume of water in the tank is 0 at time t = 0 (the tank is empty)

The function that gives the rate at which the depth of water in the tank is

increasing at time t > 0 is W(t).

Where;

t = The time in hours

Therefore;

W'(t), the derivative of the function of the rate at which the water in the

tank is increasing in feet per hour is the rate of increase of W(t).

Which gives;

W'(2) = The rate of change of the rate at which the water level is rising (second derivative) two hours after begins to fill with water, per hour per hour.

Therefore;

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Answer:

  see attached

Step-by-step explanation:

The graph starts at 5000 gallons on the vertical axis, and increases at the rate of 1250 gallons per hour, or 5000 gallons per 4 hours until 20,000 gallons is reached after 12 hours.

__

Additional comment

We don't have access to your segment tool, so you will have to copy the graph.

To find the distance between the homes of Tom and Jimmy, it is assumed

that the distances from their home to the café are equal.

Reasons:

The direction in which Tom and Jimmy walks = Towards each other

The speed at which Tom walks = 52 meters per minute

The speed with which Jimmy walks = 70 meters per minute

The time at which Tom leaves = 4 minutes earlier than Jimmy

The point at which they meet = The café

The rate of their speed = Constant

Required:

The distance between Tom and Jimmy home.

Solution:

Tom and Jimmy had a plan to walk at the same speed and meet up at the café.

We have;

The café is equal distance from Tom and Jimmy's houses.

Which gives the following simultaneous equation.

52 × (4 + t) = The distance of Tom's house from the café

70 × t = The distance of Jimmy's  house from the café

52 × 4 = 70 × t - 52 × t = 18 × t

[tex]\displaystyle t = \frac{52 \times 4}{18} = \frac{104}{9} = 11.\overline{6}[/tex]

The time it take Jimmy to reach the café, t = [tex]\mathbf{11.\overline6}[/tex] minutes

The distance between their homes, d = 52 × (4 + t) + 70 × t

∴ d = 52 × (4 + [tex]11.\overline6[/tex]) + 70 × [tex]11.\overline6[/tex] = 1,617.[tex]\mathbf{\overline 7}[/tex]

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Answer: 24

Step-by-step explanation:

tx3 = 12 x 6

3t = 12*6

3t = 72

t = 24

Answer:

2664.3

Step-by-step explanation:

Hope this helps!

Answer: [tex]f(x) = 200(\frac{1}{2})^{x}[/tex]

Step-by-step explanation:

If you plug in the x value(s) to each equation, you can see that [tex]f(x) = 200(\frac{1}{2})^{x}[/tex] is the correct answer because each y value matches the y value on the table. Therefore, [tex]f(x) = 200(\frac{1}{2})^{x}[/tex] is the correct answer.

Answer:

1. 0.0086

2. 0.0059

3. 0.0124

4. 0.0894

5. 0.0667

6. 4.578

7. 67.58

8. 99789.5

9. 685.31

10. 23500

Step-by-step explanation:

Use calculator or find the pattern

for problems under B, multiply the quotient by the dividend

Answer: 1 4/5

Step-by-step explanation:

3 5/10 - 1 7/10 = 1 8/10

1 8/10 = 1 4/5

Answer:

x-intercept(s): ( 4 , 0 )

y-intercept(s): ( 0 , 3 )

x = 4

y = 3

Step-by-step explanation:

To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.

x-intercept(s): ( 4 , 0 )

y-intercept(s): ( 0 , 3 )

slope = -0.750