Evaluate. Write your answer as a fraction or whole number.
(1/2)²=___

Answer:

y = 3x + 17

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = 3 , then

y = 3x + c ← is the partial equation

to find c substitute (- 5, 2) , that is x = - 5, y = 2 into the partial equation

2 = - 15 + c ⇒ c = 2 + 15 = 17

y = 3x + 17 ← equation of line

Answer:

The tree is 396 feets height

Step-by-step explanation:

1 m = 3.3 ft

then

12 meters to feet is:

(12)*(3.3) = 396

Answer:

B

Step-by-step explanation:

assuming you mean [tex]8C_{6}[/tex]

using the definition

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

where n! = n(n - 1)(n - 2) × 3 × 2 × 1

then

8[tex]C_{6}[/tex]

= [tex]\frac{8!}{6!(8-6)!}[/tex]

= [tex]\frac{8!}{6!(2!)}[/tex]

= (8 × 7 × 6 × 5 × 4 × 3 × 2 × 1) / (6 × 5 × 4 × 3 × 2 × 1 × 2 × 1

cancel (6 × 5 × 4 × 3 × 2 × 1 ) on numerator / denominator

= (8 × 7 ) / 2 × 1

= 56 ÷ 2

= 28

Apologies for formatting.

The value of G = F/MH for H

Mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent all of the numerical constants, variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

According to the given information

F = MGH

we need to find the value for G

Dividing the above equation by MH

F/MH = MGH/MH

SO

G = [tex]\frac{F}{MH}[/tex]

So the value of G = F/MH for H

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Answer:

9 ; $234

Step-by-step explanation:

the maximum revenue is the vertex of the parabola

a) -53/(2*-3)

-53/-6

53/6

8.833333

9

b

-3(53/6)^2 + 53(53/6)

-3(2809/36) + 2809/6

-2809/12 + 2809/6

(-2809 + 5618)/12

2809/12

234.083333

234

Answer:

x is (2,0) and y is (0, -2)

Step-by-step explanation:

Hope this helps

Answer: 11.36

Step-by-step explanation:

↓ Please look in the screenshot below...

Answer:

The correct answer is [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

If she has 6 classes, then the total hours of classes are:

[tex]\frac{6}{1}[/tex] · [tex]\frac{7}{6}[/tex] = [tex]7[/tex]

[tex]7[/tex] · [tex]\frac{1}{2}[/tex] - [tex]7[/tex] = [tex]\frac{1}{2}[/tex]

Answer:

(x-2)(x^2+1)

do not exist the answer, so check your question

Step-by-step explanation:

(x^3-2x^2)+(x-2) = x^2(x-2)+(x-2)

= (x-2)(x^2+1)

Answer:

475$

Step-by-step explanation:

12. The customer should use 120 units in a quarter for company A to be      cheaper.

What is cost management?

Cost management is the process of estimating, allocating, and controlling costs. The cost management process allows a business or a customer to predict future expenses to reduce the chances of budget overrun.

Solution:

Company A charges $14 for first 100 units = 14×100

                                                                        = $1400

After that 11% of 14 = 1.54 per unit

Company B charges $12 per unit so for 100 units = $12×100

                                                                                     = $1200

For company A to be cheaper, customer must use 120 units of electricity from company B as expense for 120 units from company B will be  $12×120 = $1440

and,

For 120 units of electricity from company A would be

$14×100 + 1.54×20 as after 100 units company A will charge 11%.

∴ for 120 units = 1400 + 30.8

                        = $1430.8

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13. For taxi company A to be cheaper customer must travel a minimum of 6 miles.

What is cost management?

Cost management is the process of estimating, allocating, and controlling costs. The cost management process allows a business or a customer to predict future expenses to reduce the chances of budget overrun.

Solution:

Given:

Company A charges $2.25 for a minimum of 2 miles journey and after that 85 cents per mile.

Company B charges 95 cents per mile without any minimum mile condition.

Let's assume

no. of miles = 4

fare from A = $2.25(2 miles) + 85 cents(1 mile) + 85 cents(1 mile)

                  = $3.95

fare from B = 95 cents × no. of miles

                  =  95 cents × 4

                  = $3.8

∵ Fare of company A is greater than B, minimum number of miles should be greater than 4.

now,

Let's assume

no. of miles = 5

fare from A = $2.25 + 85 cents + 85 cents + 85 cents

                  = $4.8

fare from B = 95 cents × no. of miles

                  =  95 cents × 5

                  = $4.75

∵ Fare of company A is greater than B minimum number of miles should be greater than 5.

now,

Let's assume

no. of miles = 6

fare from A = $2.25 + 85 cents + 85 cents + 85 cents + 85 cents

                  = $5.65

fare from B = 95 cents × no. of miles

                  =  95 cents × 6

                  = $5.7

∵ Fare of company A is less than B.

∴ Minimum number of miles should be 6.

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Answer:

Exact form: 13/4

Decimal form: 3.25

Mixed form: 3 1/4

Step-by-step explanation:

Answer:

$592.92

Step-by-step explanation:

Part of your job as manager is to count the cash for the daily bank deposit. When you count the cash, you have 47 ones, 22 fives, 9 tens and 17 twenties. You also have 67 pennies, 12 nickels, 9dimes and 15 quarters. What is the total amount of the deposit?

47 ones = $47

22 fives = $110

9 tens = $90

17 twenties = $340

67 pennies = $0.67

12 nickels = $ 0.60

9 dimes = $0.90

15 quarters = $3.75

$47 + $110 + $90 + $340 + $0.67 + $ 0.60 + $0.90 + $3.75 = $592.92

Answer: 100 feet

Step-by-step explanation:

   If there are 100 square floor tiles, and each side is one foot long, we will multiply the number of tiles by the length of each tile to find the length of each side of the room.

100 tiles * 1 foot length = 100 feet

Answer:

formula. for  circumference of a circle is. : 2πR. if you have the radius.

As the diameter is twice the radius,  then  circumference is. diameter π

then : 18*π≈ 56.52

the mistake was to take the diameter as the radius.

Step-by-step explanation:

check answer

Step-by-step explanation:

I just answered this with all explanations.

the 2 solutions are

x = 6

x = -12

Answer:

16/24

Step-by-step explanation:

To raise a fraction, we have to multiply by 24/3, which is 8:
2 * 8 / 3 * 8 =

16/24

All values of t for which the ball's height is 8 feet are 0.82 or 0.305.

What is quadratic equation?

Quadratics are often outlined as a polynomial equation of a second degree, which means that it contains a minimum of 1 term that's square. it's conjointly known as quadratic equations.

Main Body:

The actual equation is

h=  4- 18t +16t²

initial height of ball = 4 ft

The problem asks for a time when the ball's height will be 8 ft. To find these times, I plug 8 in for h and solve for t:

8 = 4+18t -16t²

16t² - 18t +4 =0

Using the quadratic equation:

t = {18 ±√((18)² - 4*16 *4 )}/2*16

t = 18 ± √(324 - 256)/32

t = (18 ± √68) /32

t = (18±8.24)/32

t =  0.82 or 0.305

Hence ,all values of t for which the ball's height is 8 feet are 0.82 or 0.305.

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r≈10.75cm

Answer:

r≈10.75cm

V=πr^2h/3

Answer: 64

Step-by-step explanation:

43 = (4)(4)(4)

=64

OR

4x4x4=64

Answer:

Slope = 2

y-intercept = -1

Step-by-step explanation:

In the slope-intercept form of the equation of a line (y=mx+b), m equals the slope and b represents the y-intercept.

So, for this problem, m=2 and b=-1.  This means the slope is 2 and the y-intercept is -1.

Answer:

Yes

Step-by-step explanation:

let x = one boy

let y = another boy

let z = a third boy

x + 2 + y + 2 + z + 2 = 15  Combine like terms

6 + x + y + z = 15  Subtract 6 apples from both sides

x + y + x = 9

When we subtract out the 2 apples each brother know that they ate at lease 2 apples each we are left with a total of 9 apples.

One boy could have eaten 4 additional apples?  Yes.

4 + 1 + 1 < 9

Answer: Length (in feet) x width (in feet) = area in sq. ft. 

Step-by-step explanation:

Answer:

The number of students in the seventh grade is 550.

Step-by-step explanation:

To find the number of students in the seventh grade, we need to use the information given in the problem: the number of students in the Environmental Club (11 students) and the percentage of students in the seventh grade that the Environmental Club represents (2%).

We can set up an equation to represent this information:

11 students / 2% = X students / 100%

The left side of the equation represents the number of students in the Environmental Club and the percentage of the seventh grade that they represent. The right side of the equation represents the total number of students in the seventh grade and the percentage that represents the whole.

Since percentages are just fractions with a denominator of 100, we can rewrite the equation as:

11 students / 0.02 = X students / 1

Then, we can use algebraic techniques to solve for X. One way to do this is to cross-multiply:

X = (11 students * 1) / 0.02

= 550 students

Therefore, there are 550 students in the seventh grade.

The value of x has been solved as 6.4

We would have EG = EF + FG

where EG = 70

EF = 4x-3

FG =  6x+9

We would have to put these values in the equation that we have above, such that we would have, To the respective variables, connect the related terms:

70 = (4x-3) + (6x+9)

Separate the x variable. Because of the equal symbol, everything you do on one side also affects the other.

Open the brackets

70 = 4x + 6x -3 + 9

70 = 10x + 6

70 - 6 = 10x

64 = 10x

divide through by 10

x = 64 / 10

x = 6.4

Hence the value of x would be given as 6.4

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The margin of error for a 95% confidence interval for the true proportion of tongue rollers among students is closest to (d) 0.04

The margin of error is a statistic that describes how much random sampling error there is in survey results.

Given in question,

n = 400

p = 317/400

  = 0.7925

Confidence Level = 95%

                          = 0.95

Formula for margin error, E = [tex]z\sqrt{\frac{p(1-p)}{n} }[/tex]

Confidence level corresponding to 95 % confidence interval, z = 1.96

Therefore,

Margin Error, E = [tex]1.96\sqrt{\frac{0.7925(1-0.7625)}{400} }[/tex]

                         = 0.0397

                         ≈ 0.04

Hence, The margin of error for a 95% confidence interval for the true proportion of tongue rollers among students is 0.0397 which is closest to 0.04.

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The angle between 0 and 2π coterminal with the angle 23π/3 will be equal to 17π/3.

The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry. The trigonometric functions, also known as circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.

Given that the angle between 0 and 2π coterminal with the angle 23π/3. The coterminal angle will be calculated as,

To calculate the coterminal angle subtract 2π from 23π/3. Solve mathematically,

Coternimal = ( 23π / 3 ) - 2π

Coterminal = 9 23π  - 6π ) / 3

Coterminal = 17π / 3

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The value of z-score of a person who scored 115 on the exam will be;

⇒ z - score = - 1

What is Standard deviation?

Standard deviation is the measure of dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

Given that;

The scores are normally distributed with a mean of 135 and a standard deviation of 20.

Now,

Since, The scores are normally distributed with a mean of 135 and a standard deviation of 20.

We know that;

⇒ z - score = X - μ / σ

Substitute all the values, we get;

⇒ z - score = 115 - 135 / 20

⇒ z - score = - 20/20

⇒ z - score = - 1

Thus, The value of z-score of a person who scored 115 on the exam will be;

⇒ z - score = - 1

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