Which table represents a linear function?

Answer:

1. a. 2,000

2. b. 10 years

3. a. 6.72937

4. d. 9%

Step-by-step explanation:

1. If 58% are boys, the percentage of girls is:

= 100 - 58

= 42%

That means 840 is 42% of the students in class. The students in class are therefore:

= 840 / 42%

= 2,000 students

2. If Birr 300 is invested at 6% per year, the amount in interest it earns per year is:

= 300 * 6%

= Birr 18

To get to Birr 180, it would take:

= 180/18

= 10 years

3. When a number is in percentage that means that it is a fraction with the denominator being 100. The number is decimal will therefore be it divided by 100:

= 672.937/100

= 6.72937

4. The investment accrued Birr 12 out of Birr 400 in 4 months. This means that it increased by:

= 12/400

= 3%

A year can be divided into three by 4 months. This means that the yearly rate is therefore:

= 3% * 3

= 9%

Given:

The expression is

[tex](-5)^7\div  (-5)^2[/tex]

To find:

The simplified form of the given expression so there is only one positive power for the baser -5.

Solution:

We have,

[tex](-5)^7\div  (-5)^2[/tex]

[tex]=\dfrac{(-5)^7}{(-5)^2}[/tex]

Using the properties of exponents, the given expression can be written as

[tex]=(-5)^{7-2}[/tex]                  [tex][\because \dfrac{a^m}{a^n}=a^{m-n}][/tex]

[tex]=(-5)^{5}[/tex]

Here, the base is -5 and the exponent is 5.

Therefore, the correct option is C.

This is the answer to your question

Answer:

7.5 is the answer to the question

Step-by-step explanation:

using tan

Answer:

7

Step-by-step explanation:

Number of shells found = 14

Number of shells lost equals number of shells left :

Let Number of shells lost = x

Using the relation:

Number of shells lost = Number of shells left

x =number of shells found - number of shells lost

x = 14 - x

x + x = 14

2x = 14

x = 14 / 2

x = 7

Number of shells left = 14 - x = 14 - 7 = 7

Answer:

289

Step-by-step explanation:

Raise 17 to the power of 2

Is this what you are asking for

Answer:

The annual interest rate is 12.05%

Step-by-step explanation:

Answer:

32−2+8

Step-by-step explanation:

Eliminate redundant parentheses

thats the answer simplified

Answer:

the answer is d!! I hope it helped please lmk if not

Square root functions are in the shape of a parabola, like a giant U, while cube root functions are more wide and swiggly, like a stretched out S.

See :

The general shape of a cube root function is a "S" shape when graphed, while the general shape of a square root function is a "U" shape when graphed.

A cube root function is defined as f(x) = ∛x. It has a single value for each positive x and one value for each negative x, so it is defined for all real numbers. It has a vertical asymptote at x=0 and its graph is a reflection of the graph of f(x) = -∛x over the x-axis. It starts at -infinity as x approaches negative infinity, increases to zero as x approaches zero and then decreases to positive infinity as x approaches positive infinity.

A square root function is defined as f(x) = √x. It is defined for all non-negative x and it has a vertical asymptote at x=0. Its graph starts at zero as x approaches zero and increases to positive infinity as x approaches positive infinity.

In summary, the cube root function is defined for all real numbers and has a "S" shape while the square root function is defined for non-negative numbers and has a "U" shape.

Learn more about the function here:

brainly.com/question/12431044

#SPJ2

Answer: $31.50

Step-by-step explanation:

We are told that the price of a baseball card was purchased for $6 but that the value of the baseball card has increased by 425%.

The current value of the baseball card would be:

= $6 + (425% × $6)

= $6 + (425/100 × $6)

= $6 + (4.25 × $6)

= $6 + $25.5

= $31.50

Answer:

75 Miles

Step-by-step explanation:

Answer:

11, 17

Step-by-step explanation:

The difference between -7 and -1 is +6, and -1 and 5 is +6 as well. So 5+6 = 11

and 11 + 6 = 17

Answer:

x = 5, x = -7

Step-by-step explanation:

If you mean find the roots, then x = 5 and x = -7

Because roots makes the equation equal to 0 and 5 - 5 = 0 and -7 + 7 = 0

Answer:

x = -3

Step-by-step explanation:

4(2 - 4x) - 3x = 65

Distribute the 4.

8 - 16x - 3x = 65

Combine like terms.

8 - 19x = 65

-19x = 57

Divide by -19 to isolate x.

x = 57/-19

x = -3

Check.

4(2 - 4(-3)) - 3(-3) = 65

4(2 - (-12) + 9 = 65

4(14) + 9 = 65

56 + 9 = 65

65 = 65

The solution of the given linear equation 4(2 - 4x) - 3x = 65 is  -3.

Two algebraic expressions separated by an equal symbol in between them and with the same value of the expression are called equations.

Example = 2x +4 = 12

here, 4 and 12 are constants and x is variable.

The solution of the equation 4(2 - 4x) - 3x = 65 is calculated as:

4(2 - 4x) - 3x = 65

Multiply the expressions inside the brackets,

8 - 16x -3x = 65

8 - 19x = 65

Subtract 8 from both the sides,

-19x = 65- 8

-19x = 53

Divide both side by -19

[tex]x = \dfrac{-53}{19}[/tex]

Thus, the value of x is -3.

Learn more about equations here:

https://brainly.com/question/14686792

#SPJ6

Answer:

The radius of the hole is 0.24 feet

Step-by-step explanation:

Firstly, we need to convert the miles to feet

Mathematically;

1 mile = 5,280 feet

4.3 miles is thus;

4.3 * 5,280 = 22,704 feet

Mathematically, the volume of a cylinder is;

V = pi * r^2 * h

here, we want to get r

4200 = 3.142 * r^2 * 22,704

r^2 = 4200/(3.142 * 22,704)

r = 0.24 feet

Answer:

0.8= 2.1448=2.1379

Step-by-step explanation:

Answer:

0.8/2.1448/2.1379

Step-by-step explanation:

I got right(Plato/Edmentum

Answer:

H in terms of c is H = 5c³.

Step-by-step explanation:

Given that:

H = 40 and c = 2

H varies directly to the cube of c.

Which means that,

H ∝ c³

Let,

k be the proportionality constant.

H = kc³

Putting H=40 and c=2

[tex]40=k(2)^3\\40=k(8)\\40=8k\\8k=40[/tex]

Dividing both sides by 8,

[tex]\frac{8k}{8}=\frac{40}{8}\\k=5[/tex]

Now,

H in terms of c.

H = 5c³

Hence,

H in terms of c is H = 5c³.

Answer:

This is NOT a graph :)

Step-by-step explanation:

Answer: 83.5

Step-by-step explanation:

Answer:

i think option b is correct

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

its C

Step-by-step explanation:

Answer:

A. ($39)+(8)+(8)+(8)+(8)=71

Therfore he can buy 4 pairs of shorts.

B. No, if he wanted to buy 6 pairs of shorts it would be $87.00 with the sneakers. If he wanted to buy the shorts by themselves then it would only be $48.00 WITHOUT the sneakers.

C. The most amount of shorts he can buy would be 4 WITH the sneakers.

Step-by-step explanation:

Hope this helps. Not sure if right or not but when i was typing it out it made sense. Goodluck! brainliest?

Answer:

2

Step-by-step explanation:

Answer:

Step-by-step explanation:

36 plus 4 x 2 = 80 what her mom got but it’s 76 because 36x2 is 72 and 72 plus 4 is 76.

YOU WILL NOT FAIL, YOU SHALL PASS

Answer: w^6/9

Step-by-step explanation:

first, i evaluated the powers.

3^-2 x 1 x 1/w^-6

then, i calculated those products.

3^-2/w^-6

then, i just expressed it with a positive exponent.

w^6/3^2

finally, i evaluated that.

w^6/9

9514 1404 393

Answer:

  The central angle is about 8.7°.

Step-by-step explanation:

The relation between angle and arc length is ...

  s = rθ

where r is the radius, and θ is the central angle in radians.

  600 = 3950·θ

  θ = 600/3950 radians = (12/79)(180°/π)

  θ ≈ 8.7°

Answer:

5

Step-by-step explanation:

y-x

8-5 = 5

The value of the expression y - x is 5.

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,

y - x

The value of y - x when x = 3 and y = 8.

= y - x

= 8 - 3

= 5

Thus,

The value of the expression is 5.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Answer:

m = 4

Step-by-step explanation:

Given

- 2(m + 3) - 5m = - 34 ← distribute and simplify left side

- 2m - 6 - 5m = - 34

- 7m - 6 = - 34 ( add 6 to both sides )

- 7m = - 28 ( divide both sides by - 7 )

m = 4