Simplify. Your answer should contain only positive exponents.
1) 2m² * 2m³
2) m⁴ * 2m⁻³
3) 4r⁻³ * 2r²
4) 4n⁴ * 2n⁻³
5) 2k⁴ * 4k
6) 2x³y⁻³ * 2x⁻¹y³

Answer:

answer is a

Step-by-step explanation:

Answer:

4x + 7

Step-by-step explanation:

add the x's then regular numbers

Answer:

20 Celsius

Step-by-step explanation:

[tex]C= \frac{5}{9} (68-32)\\C= \frac{5}{9} (36)\\[/tex]

[tex]C=20[/tex]

Answer:

30 seconds

Step-by-step explanation:

210 divided by 7 is 30

9514 1404 393

Answer:

  angle 4

Step-by-step explanation:

"Alternate" means the angles are on opposite sides of the transversal. "Exterior" means the angles are outside (not between) the parallel lines. The diagram shows the alternate exterior angles are angle 8 and angle 4.

Answer:

3:2

Step-by-step explanation

hope this is correct! have a good day!! c:

Answer:

Pablo decides to save his money in a piggy bank and each day he saves $ 100 more than the day before. How much would he save on day "20" if he had $ 100 on the first day? Express the function and solve

Step-by-step explanation:

Answer:

The rate of change would be y^2-y^1/x^2-x^1. So in this cause the answer is 10.5/3.

Step-by-step explanation:

I said it.

answer is x={7,8,9...}

note= (-5 when u take to other side it will become positive)

Step-by-step explanation:

you'll substitute x for -2

g(-2) = -4 *(-2) - 17 = 8 - 17 = -9

hope i helped :)

Answer:

0.032

Step-by-step explanation:

10-2 means that we move the point 2 places to the left.

Answer:

75$

Step-by-step explanation:

[tex]500(0.15) = 75[/tex]

Answer:

Step-by-step explanation:

answer 0.6 multiply 3 by 0.2 and you get 0.6! thats what i understood sorry if im rong

Answer:

72

Step-by-step explanation:

1 Yard is 3 Feet

Since we know this we Multiply 3 by 24.

Hope this helps   ▼・ᴥ・▼

Answer:

72ft

Step-by-step explanation:

1 yd = 3ft

so you would do 24 times 3 to get 72

Answer:

2z-6

Step-by-step explanation:

2(z-3)

2(z)-2(3)=2z-6

Answer:

Original cost =70 pounds

Step-by-step explanation:

Let original cost be x,

so original cost = x

[tex]x*\frac{80}{100} = 56[/tex]

[tex]x = 56 /\frac{80}{100}[/tex]

[tex]x = 70 pounds[/tex]

Answer:

5/6

Step-by-step explanation:

It would be 5/6 because there are 5 possible answers other than 3 making it 5/6

Answer: 24a+16

Step-by-step explanation:

Answer:

=24a+16

Step-by-step explanation:

Let's first take our problem-

−8(−3a−2)

Simplify -

=(−8)(−3a+−2)

=(−8)(−3a)+(−8)(−2)

And you get your answer-

=24a+16

Answer: 22

Step-by-step explanation:

Answer:

6 laps

Step-by-step explanation:

Each lap Jeffrey needs to run is one tenth of a mile he wants to run threee fifths of a mile how many laps does he need to run

One tenth of a mile = 1/0

Three fifths of a mile = 3/5

From the question:

1/10 mile = 1 lap

3/5 mile = x

Cross Multiply

1/10 mile × x = 3/5 mile × 1 lap

x = 3/5 mile × 1 lap/ 1/10 mile

x = 3/5 ÷ 1/10

x = 3/5 × 10/1

x = 6 laps

Therefore, for there fifths of a mile(3/5) he needs to run 6 laps

Anewer:

Step-by-step explanation:

Hey there!

Given figure is a triangular based prism. Where the triangle is right angled triangle.

So,

Hypotenuse (h) = 6.5m

Perpendicular (p) =2.5 m

Base (b) = 6m

Length of triangular prism (l) = 10m.

We have;

Lateral surface area= Perimeter*length of prism.

LSA = (6.5+2.5+6) * 10

LSA = 15*10

Therefore, LSA of the shape is 150 m².

Now, Area of base=( 1/2 )*b*p

= (1/2)*(6*2.5)

= 7.5 m²

Therefore, area of base = 7.5 m²

Now, TSA= 2*Area of base+LSA

= (2*7.5 + 150) m²

= 165 m²

Therefore, the Total surface area is 165 m².

Hope it helps....

Step-by-step explanation:

Hey there!

Given figure is a triangular based prism. Where the triangle is right angled triangle.

So,

Hypotenuse (h) = 6.5m

Perpendicular (p) =2.5 m

Base (b) = 6m

Length of triangular prism (l) = 10m.

We have;

Lateral surface area= Perimeter*length of prism.

LSA = (6.5+2.5+6) * 10

LSA = 15*10

Therefore, LSA of the shape is 150 m².

Now, Area of base=( 1/2 )*b*p

= (1/2)*(6*2.5)

= 7.5 m²

Therefore, area of base = 7.5 m²

Now, TSA= 2*Area of base+LSA

= (2*7.5 + 150) m²

= 165 m²

Therefore, the Total surface area is 165 m².

Hope it helps....

Answer:

(0, 4 ) and ( [tex]\frac{1}{2}[/tex], [tex]\frac{13}{2}[/tex] )

Step-by-step explanation:

Given the2 equations

y = 4x² + 3x + 4 → (1)

y = 5x + 4 → (2)

Substitute y = 4x² + 3x + 4 into (2)

4x² + 3x + 4 = 5x + 4 ( subtract 5x + 4 from both sides )

4x² - 2x = 0 ← factor out 2x from each term

2x(2x - 1) = 0

Equate each factor to zero and solve for x

2x = 0 ⇒ x = 0

2x - 1 = 0 ⇒ 2x = 1 ⇒ x = [tex]\frac{1}{2}[/tex]

Substitute these values into (2) for corresponding values of y

x = 0 : y = 5(0) + 4 = 0 + 4 = 4 ⇒ (0, 4 )

x = [tex]\frac{1}{2}[/tex] : y = [tex]\frac{5}{2}[/tex] + 4 = [tex]\frac{13}{2}[/tex] ⇒ ([tex]\frac{1}{2}[/tex], [tex]\frac{13}{2}[/tex] )

Answer:

square and rectangle

Step-by-step explanation:

Answer:

Squares, Trapezoids, Rhombuses, Kites, Parellelograms, or Rectangles

Step-by-step explanation:

"Quad" means that there is 4 sides on something, and all of these shapes have 4 sides, so obviously, that means they are quadrilaterals.

Answer:

2/5 and 4/7

Step-by-step explanation:

Answer:

x= 3

Step-by-step explanation:

12x-12x= 2x 1+5=6

2x=6

x=3

Answer: x=3

Step-by-step explanation:

(10x+1)=(12x-5) (you make them equal because they are vertical)

-2x+1=-5

-2x=-6

x=3

I'm not really sure but I tried, sorry.

Answer:

$172.8

Explanation

Divide 160 ÷ 100 to get 1.6 then multiply it by 8 to get 12.8 then add 160 to get 172.8

Answer:

hello.....................

Step-by-step explanation:

Answer:

3,570

Step-by-step explanation:

why did you not look it up on the internet lol

Im not sure I understand sorry! Try looking it up or looking closer at the directions!

Step-by-step explanation:

the answer is :

m<QRT =34°