simplify the following expressions ( combine like-terms )

Answer:

f(7) = - 25

Step-by-step explanation:

To evaluate f(7) substitute x = 7 into f(x), that is

f(7) = - 5(7) + 10 = - 35 + 10 = - 25

Answer:

(7x7x7x7x7x7x7)x(7x7x7x7x7)

Step-by-step explanation:

The simplified version of [tex]7^6*7^5[/tex] is [tex]7^{11}[/tex]

The rule of multiplying exponents with like terms is to add the exponents.

If you want the fully simplified answer, its 1977326743

Answer:

We can think of it as the zeros after the decimal point.

Step-by-step explanation:

Negative exponents always move the number to the right putting the decimal in front of it.

Answer:

The atomic number is equal to the number of protons in an atom

The atomic number tells you the number of protons in one atom of an element. It also tells you the number of electrons in a neutral atom of that element. The atomic number gives the “identity “of an element as well as its location on the Periodic Table.

Step-by-step explanation:

The atomic number is the number of protons in an atom of an element. For example, krypton's atomic number is 36. This tells us that an atom of krypton has 36 protons in its nucleus.

The atomic number tells you the number of protons contained in the nucleus of an atom. Which is always equal to the number of electrons in an atom.

An atom is the smallest possible unit of a chemical element.

There are protons and neutrons in the nucleus of an atom, and electrons outside the nucleus.

The atomic number indicates the number of protons or the number of electrons.

Therefore, Atomic number tells you the number of protons contained in the nucleus of an atom. Which is always equal to the number of electrons in an atom.

Learn more about atoms here:

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Answer:

tanθ = 3/4  p/b

using Pythagoras theorem

H² = P² + b²

H² = 3²+ 4²

H² = 25

H = 5

cosθ = B/H = 4/5

Answer:

x is 4

Step-by-step explanation:

Step one: Add 12x to both sides-

8x-19+12x=-12x+61+12x

20x-19=61

Step 2: add 19 to both sides

20x -19+19=61+19

20x=80

Step 3: divide both sides by 20

20x/20=80/20

x=4

Answer:

21 years

Step-by-step explanation:

For this problem, you only need to divide 6,825 by 325.

6,825/325=21

21 years

Answer:8/3

Step-by-step explanation: parallel lines have the same slope

Answer: 4/9 of the class are boys and 5/9 of the class are girls.

Step-by-step explanation:

Answer:

12+ 1.50r = 42

1.50r = 42-12

1.5r = 30

r= 30/1.5 = 20

Step-by-step explanation:

Answer:

  20%

Step-by-step explanation:

The percentage change can be found from ...

  % change = ((new value)/(reference value) -1) × 100%

  = (240/200 -1) × 100%

  = 0.20 × 100%

  = 20%

240 is an increase of 20% from 200.

Answer:

172.05

Step-by-step explanation:

formula to find regular pentagon=1/4 root 5(5+2root5)a^2

Given :

In the early spring, the trout at Big Blue Lake swim at a depth of 30 feet below sea level.

When the lake warms up in the summer, the trout swim 20 feet deeper than that , d = 20 feet .

To Find :

At what position relative to sea level do the trout swim in the summer.

Solution :

Depth in spring from surface , [tex]D_s=30\ feet[/tex] .

Let , depth in summer is D .

Now , depth in summer relative to sea-level is :

[tex]D=D_s+d\\\\D=30+20\ feet\\\\D=50\ feet[/tex]

Therefore , trout swim 50 feet deep below the sea level in the summer .

Hence , this is the required solution .

Answer:

-50

Step-by-step explanation:

bcuz it is

Answer:

x = 12

Step-by-step explanation:

Step 1: Write out equation and define variables

f(x) = -5x + 1

f(x) = -59

Step 2: Substitute

-59 = -5x + 1

Step 3: Solve

-60 = -5x

12 = x

x = 12

Answer:

nope

Step-by-step explanation:

because i am dumb

Answer:

9/14

Step-by-step explanation:

3/7÷2/3=?

Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.

Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes

3/7×3/2=?

For fraction multiplication, multiply the numerators and then multiply the denominators to get

3×3

7×2= 914

This fraction cannot be reduced.

Therefore:

3/7÷2/3=9/14

Answer:

9/14

Step-by-step explanation:

3/7 ÷ 2/3= 9/14

To divide a fraction, you have to flip the second fraction and multiply.

3/7 × 3/2 = 9/14

9/14 is in simplest form.

Answer:

9x10000 or 9.0 x 10^4

Step-by-step explanation:

6x104+3x104

Simplifies to:

9x10000

=9x10000

Mark Brainliest?

Answer:

9.0 x 10^4

Step-by-step explanation:

(6.0 x 10 ^4) + (3.0 x 10 ^4)

=> 6 x 10000 + 3 x 10000

=> 10000(6+3)

=> 9(10000)

=> 9 x 10^4

=> 9.0 x 10^4

Answer:

Tiffany has a number of skittles plus 655 watermelon sour patch kids. Compared to Jake, Jake has 5 times more skittles than Tiffany, plus 600 watermelon sour patch kids. Write an inequality to represent this scenario.

I hope this helped! :) If it was correct for your question please give me brainliest!

Answer:

Step-by-step explanation:

E=9x-38

F=2x+40

9x+2x+2=90

11x=90-2

11x=88

x=88/11=8

F=2*8+40

16+40

=56

Answer:

I believe the duration for $89.00 is 2 hours

Step-by-step explanation:

We start off with the $17 dollars and calculate 36.00+36.00 for a total of $89. Therefore, (120 mins)/60=2 hours.

Because this is a linear problem, I'd use the slope-intercept formula:

[tex]y = mx + b[/tex]

where

m = slope (rise/run)

y = dependent value

x = independent value

b = constant value

Because the plumber charges $17 upon arrival, it is our constant. The $36 is our slope (per hour, per minute, per etc. is generally a give away). Additionally because the total cost of the plumber's visit depends on how long s/he stays at a client's home, the $89 is our y value. Therefore the equation should look like this:

[tex]89 = 36x + 17[/tex]

Solve for x by subtracting 17 from both sides of the equation then dividing by 36.

[tex]72 = 36x[/tex]

[tex]2 = x[/tex]

The plumber spent two hours at his/her client's home.

Answer: I think the answer is false

Answer:

the correct answer is true

Step-by-step explanation:

Answer:

0.83

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

31.50 for 14 tickets

Step-by-step explanation:

We can use ratios to solve

4 tickets          14 tickets

--------------   = --------------------

9 dollars          x dollars

Using cross products

4x = 9*14

4x =126

Divide each side by 4

4x/4 = 126/4

x =31.50

(1,-4)

:) Hope this helps and have a wonderful day!`

Answer:

L = 48

Step-by-step explanation:

Given that L varies directly with Z² , then the equation relating them is

L = kZ² ← k is the constant of variation

To find k use the condition L = 12 when Z = 2 , then

12 = k × 2² = 4k ( divide both sides by 4 )

3 = k

L = 3Z² ← equation of variation

When Z = 4 , then

L = 3 × 4² = 3 × 16 = 48

Answer:

A. and B.

Step-by-step explanation:

A natural number by definition is a number that spans from 1 to 100 it can't have decimals or negative numbers.

A. Natural number, the square root of 99 is 11 which is in the span of 1 to 100.

B. includes a natural number when you divide 60/15 you get 4 which is in the span of 1 to 100.

C. Incorrect, includes a negative number so it's not a natural number.

D. Not a natural number it includes decimals.

Answer:

8

Step-by-step explanation:

The minus turns the base upside down

(1/4)^-3/2 = 4^(3/2)

The square root of 4 is 2

2^3 = 8

So the answer is 8.