Rewrite using a negative exponent.

1/3^2

Hope it helps :)

Answer:

[tex]\displaystyle \frac{1}{3} h(-8) = 37[/tex]

Step-by-step explanation:

Hi there!

[tex]h(x) = x^2-5x + 7[/tex]

First, find h(-8) by replacing all of [tex]x[/tex] with -8:

[tex]h(-8) = (-8)^2-5(-8) + 7\\h(-8) = 64+40 + 7\\h(-8) = 111[/tex]

Now, find ⅓ h(-8) by multiplying the entire expression by ⅓:

[tex]\displaystyle \frac{1}{3} h(-8) = 111 * \frac{1}{3} \\\\\displaystyle \frac{1}{3} h(-8) = 37[/tex]

I hope this helps!

Answer:

She can cut 3 pieces of ribbon.

None will be left over.

Answer:

[tex]\displaystyle f[g(2)] = 3[/tex]

Step-by-step explanation:

We are given the two functions:

[tex]\displaystyle f(x) = -2x - 1\text{ and } g(x) = -x[/tex]

And we want to find the value of:

[tex]\displaystyle f[g(2)][/tex]

First, evaluate g(2):

[tex]\displaystyle \begin{aligned} g(2) &= -(2) \\ &= -2\end{aligned}[/tex]

Substitute:

[tex]\displaystyle f[g(2)] = f(-2)[/tex]

Evaluate f(-2):

[tex]\displaystyle \begin{aligned} f(-2) &= -2(-2) - 1 \\ &= 4 - 1 \\ &= 3\end{aligned}[/tex]

Therefore:

[tex]\displaystyle f[g(2)] = 3[/tex]

Answer:

4

Step-by-step explanation:

2.5, 2.3, 2.03, .25

Answer:

 -4 -6 2 -2x 3-4x 2x-3

Step-by-step explanation:

3 - 7= -4 (7 is larger so we get - sign)

-4-2=-6(we add "-" terms but they have the - sign)

-4-(-6)=-4+6=2(- multiplied by - =+ meaning - - = +)

x-3x=-2x(3x is larger)

3-4x=3-4x(Unlike Terms)

-3 - (-2x)=-3+2x=2x-3(Unlike terms, so we only simplify the signs)

Answer: The integers are -58, -57, -56.

Step-by-step explanation:

The difference between two consecutive integers is 1.

If you let the smallest of the three consecutive integers equal x, then the next greater one is x + 1, and the greatest of the three is x + 2.

Integers: x, x + 1, x + 2

The sum of the first and third is: x + x + 2

3 times the sum of the first and third is: 3(x + x + 2)

That product equals -342.

3(x + x + 2) = -342

3(2x + 2) = -342

Divide both sides by 3.

2x + 2 = -114

Subtract 2 from both sides.

2x = -116

Divide both sides by 2.

x = -58

x + 1 = -57

x + 2 = -56

The integers are -58, -57, -56.

Answer:

Create a black dot that is filled in, then an arrow going towards the right.

Answer:

          /\

[tex]\sqrt{20}[/tex] /     \[tex]\sqrt{20}[/tex]

     /         \

     \         /

[tex]\sqrt{20}[/tex]  \     / [tex]\sqrt{20}[/tex]

          \/

Step-by-step explanation:

i hope this is right it took me 30 min for the ascii

Answer:

8 1/8 units³

Step-by-step explanation:

V = lwh

Since the area is already given to you, just multiply that by the other number.

[tex]V=(16\frac{1}{4})(\frac{1}{2})\\\\V=\frac{65}{8}=8\frac{1}{8}[/tex]

Answer:

14c decrease Option D

Step-by-step explanation:

The temperature was 8c at 12 am and -7c at 7 pm to find the difference subtract to get 14c.

whats wrong im only in 7th grade

Step-by-step explanation:

Answer:

Si se tiene en cuenta que la velocidad de la luz en el vacío es de 299.792 km/s. La distancia existente entre el 'astro rey' y la Tierra es de unos 149,6 millones de kilómetros, una pequeña operación matemática indica que la luz del Sol tarda aproximadamente 8 minutos y 19 segundos en llegar a nuestro planeta.

Step-by-step explanation:

It takes light from the Sun about 500 seconds, or 8 minutes and 20 seconds, to reach Earth.

Speed is the ratio of the given distance and time.

It shows how fast an object is moving at a given time.

The formula is Distance / Time.

We can find the distance or time when the required values are given using this formula.

We have,

To find the time it takes for light to travel from the Sun to Earth,

We can use the formula:

Time = distance/speed

where distance is the distance from the Sun to Earth and speed is the speed of light.

Plugging in the given values.

Time = (1.5 × 10^11 meters) / (3 × 10^8 meters per second)

Simplifying.

time = 500 seconds

Therefore,

It takes light from the Sun about 500 seconds, or 8 minutes and 20 seconds, to reach Earth.

Learn more about speed here:

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Answer:

D

Step-by-step explanation:

It's a guess because none of them look like the exponential form. However, I think D is probably the answer you want.

On this site it should be written as C = 15^3.

Answer:

Step-by-step explanation:

4 parts: 1/3 + 1/2 + 30min + 60min

1/3 of an hour is = 20 minutes

1/2 of an hour is 30 minutes

20 + 30 + 30 + 60(1h)= 140 minutes = 2 hours and 20 minutes

The total time did the program take to write is  2 hours and 20 minutes.

It is required to find total time.

The branch of mathematics dealing with the properties and manipulation of numbers. a science that deals with the addition, subtraction, multiplication, and division of numbers. Fractions, decimals, percentages, fractions, square root, exponents, and other arithmetic operations are used to achieve mathematical simplifications.

Given that:

several people working on each of 4 parts.

First part = 1/3 of the total time,

The second part = 1/2 of the remaining time,

The third part =30 minutes,

Fourth part= 60 minutes,

So, the total time in hour.

4 parts:

1/3 of an hour is = 20 minutes

1/2 of an hour is 30 minutes

Total time=1/3 + 1/2 + 30min + 60min

=20 + 30 + 30 + 60(1h)

= 140 minutes

= 2 hours and 20 minutes.

So, the total time did the program take to write is  2 hours and 20 minutes.

Learn more about arithmetic here:

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Answer:

Jacob is 4 years old and his mother is 40 years old.

Step-by-step explanation:

Part 1: The linear equations are  and

Part 2: Solving the equations, we have,  and

Part 3: Jacob is 4 years old and his mother is 40 years old.

Explanation:

Part 1: Let j represent Jacob's age, and let m represent his mother's age.

It is given that, "Jacob's mother is three more than nine times as old as Jacob". Writing it as linear equation, we have,

It is also given that, "In eleven years, his mother will be five more than three times his age". Writing it as linear equation, we have,

Simplifying this, we get,

Thus, the linear equation is

The linear equations are   and

Part 2: Solving the linear equation, we get,

Substituting  in

Simplifying, we get,

Hence,

Substituting  in

Solving the equations, we have,  and

Part 3: Since, j represents jacob and m represents the jacob's mother

Thus, Jacob is 4 years old and his mother is 40 years old.

Answer:

This is a geometric sequence with a common ratio of -4

Step-by-step explanation:

Take the second term and divide by the first term

-4/1 = -4

Take the third term and divide by the second term

16/-4 = -4

Take the fourth term and divide by the third

-64/16 = -4

This is a geometric sequence with a common ratio of -4

Answer:

I think the answer is a, 15 ft by 10ft

Answer:

15 ft by 10 ft

Step-by-step explanation:

3/4×20=60/4=30/2=15

1/2×20=20/2=10

Answer:

5

Step-by-step explanation:

12 - 7 = 5

Using Pythagoras Theorem

Hyp² = Adjacent² + Opp²

13² = d² = 12²

d² = 13² - 12²

d² = 169 - 144

d² = 25

d = √25

d = 5

The correct answer is 5, OPTION C IS CORRECT

Step-by-step explanation:

8) earning of 4.5 hours=$54

earning of 1 hour=$54/4.5

earning of 1 hour=$12

9)perimeter=36 feet

length is twice so

length=2x

width=x

perimeter = 2(length+width)

36=2(2x+x)

2x+x=36/2

3x=18

x=6

width=6 feet

length=2(6)

length=12 feet

Area of rectangle= length * width

area=12*6 sq.feet

area= 72 sq.feet

Answer:

7

Step-by-step explanation:

You would do 42/6 which is 7 (this is the answer for part b)

Answer:

(-2,-5)

Step-by-step explanation:

Because his house is in the same quadrant as the city park (quadrant 3) the answer's coordinates will have x=a negative number and y= a negative number. So, the answer will be (-2,-5).

Hope this helps!

Answer:

x=10  or x=-4

Step-by-step explanation:

|x-3|=7

There are two solutions, one positive and one negative

x-3 = 7   and x-3 = -7

Add 3 to all sides

x-3+3 = 7+3           x-3+3 = -7+3

x = 10                    x = -4

Well, if we are taking the absolute value, of |x - 3| = 7, then you have a total of two cases. 7 can be either positive or negitive.

Knowing this, we can write out our two cases as:

|x - 3| = 7, or

|x - 3| = -7

Using these two equations, we can solve the equations for our values of x:

First Case:

|x - 3| = 7

x - 3 = 7

x = 10

Second Case:

|x - 3| = -7

x - 3 = -7

x = -4

So, our two cases show us that x can equal -4, or 10.

Answer:

-2

Step-by-step explanation:

a - 6 - 6a = 4

a-6a=10

-5a=10

a=10/-5

a=-2

Answer:

a = -2

Step-by-step explanation:

Add like terms:

a - 6 - 6a = 4

-5a - 6 = 4

Solve for a:

-5a = 10

a = -2

So, a = -2

Answer:

I think DFG= 82 (BEING ALTERNATIVE ANGLE)

Answer:

for any point (x, y), that appears in one function, the point (y, x) must appear in the other function. for any point (x, y), that doesn't appear in one function, the point (y, x) must not appear in the other function.  

so if you find any point that doesn't meet the above rules, you can prove that the functions are not inverses of each other.  

to prove that they are inverses of each other, you need to check all points in the functions, and there is an infinity of them, so instead, you can write f(x) like this:  

y = 3x - 5  

solve for x:  

y + 5 = 3x  

x = (y + 5) / 3  

swap x and y:  

y = (x + 5) / 3  

this is the same as g(x) which, therefore the functions are inverse of each other.