Factor the following expression completely:

32
z
4
+
8
z
3
−
4
z
2

Answer:

Table B represents a linear function.

Step-by-step explanation:

Table B is a linear function because y goes up by a constant, steady rate of 4 every time x goes up by one.

Answer:

Figure 4 : 9 by 4 rectangle

17 red squares is figure 8

51 yellow squares

The pattern is +2 for the length, and the width stays the same. Hope this helped. :)

Answer:

17 rojo

51 amarillo

en el dibujo son 11 rojos y 33 amarillo

Step-by-step eplanation:

Answer:

[tex]\boxed{ \sf 1350 \ cm^2}[/tex]

Step-by-step explanation:

Surface area of a cube = 6a²

a = side length

The side length is given 15 cm.

[tex]6(15)^2[/tex]

[tex]6(225)[/tex]

[tex]1350[/tex]

The surface area of the cube is 1350 cm².

Answer:

The inverse is -1/5x -4/5

Step-by-step explanation:

f(x) = -5x-4

y = -5x-4

Exchange x and y

x = -5y -4

Solve for y

Add 4 to each side

x+4 = -5y

Divide by -5

-1/5x -4/5 = -5y/-5

-1/5x -4/5 = y

The inverse is -1/5x -4/5

Answer:

[tex]\huge\boxed{f^{-1}(x) = -\frac{x+4}{5}}[/tex]

Step-by-step explanation:

[tex]f(x) = -5x-4[/tex]

Replace y = f(x)

[tex]y = -5x-4[/tex]

Exchange values of x and y

[tex]x = -5y -4[/tex]

Solve for y

[tex]x = -5y - 4[/tex]

Adding 4 to both sides

[tex]x + 4 = -5y[/tex]

Dividing both sides by -5

[tex]y = -\frac{x+4}{5}[/tex]

Replace y = [tex]f^{-1}(x)[/tex]

[tex]f^{-1}(x) = -\frac{x+4}{5}[/tex]

Answer:

[tex]\mathbf{V = [\dfrac{ 8 \pi }{3}] }[/tex]

Step-by-step explanation:

Given that:

y = 6x - x² , y = 8  about  x = 2

To find the volume of the region bounded by the curves about x = 2; we have the radius of the cylindrical shell to be x - 1, the circumference to be 2 π (x -2 ) and the height to be 6x - x² - 8

6x - x² - 8

6x - x² - 8 = 0

-x² + 6x - 8 = 0

x² - 6x + 8 = 0

(x -4) (x - 2  ) = 0

So;

x = 2 , x = 4

Thus, the region bound of the integral  are from a = 2 and b = 4

Therefore , the volume of the solid can be computed as :

[tex]V = \int \limits ^b _a \ 2x \times f(x) \ dx[/tex]

[tex]V = \int \limits ^4_2 2 \pi (x -2) (6x -x^2 -8) \ dx[/tex]

[tex]V = 2 \pi \int \limits ^4_2 (6x^2 - x^3 -8x -12 x - 2x^2 +16) \ dx[/tex]

[tex]V = 2 \pi \int \limits ^4_2 (8x^2 -x^3-20x +16) \ dx[/tex]

[tex]V = 2 \pi \int \limits ^4_2 ( -x^3+8x^2-20x +16) \ dx[/tex]

[tex]V = 2 \pi [\dfrac{ -x^7}{4}+\dfrac{8x^3}{3} -\dfrac{20x^2}{2} +16x]^4_2[/tex]

[tex]V = 2 \pi [\dfrac{ -(4^4-2^4)}{4}+\dfrac{8(4^3-2^3)}{3} -\dfrac{20(4^2-2^2)}{2} +16(4-2) ]^4_2[/tex]

[tex]V = 2 \pi [\dfrac{ -(256-16)}{4}+\dfrac{8(64-8)}{3} -10(16-4)} +16(2) ][/tex]

[tex]V = 2 \pi [\dfrac{ 4}{3}][/tex]

[tex]\mathbf{V = [\dfrac{ 8 \pi }{3}] }[/tex]

their sum is 90° so they're complementary

Answer: B

Step-by-step explanation:

Any inscribed quadrilateral (quadrilateral in a circle) has opposite angles that add up to 180 degrees.

So looking at he picture we can see that, (x+16) + (6x-4) = 180.

So your answer is B.

Answer:

Hey There!! The answer to this is B: angle P + angle R = 180

angle O + angle Q = 180

Here, they are only interested in R, therefore the first equation will be enough to solve for R.

angle P + angle R = 180

y + (3y + 8) = 180

We need to solve for y, so put that y value in (3y + 8) to find angle R.

y + (3y + 8) = 180

y + 3y + 8 = 180

We add the y terms: 4y + 8 = 180

Subtract 8 from both sides: 4y = 180-8 = 172

Divide both sides by 4

y = 172/4 = 43

Angle R = 3y + 8

Put y = 43 and calculate R.

R = 3(43) + 8

R = 137

Therefore, the measure of angle R is B:

Hope It Helped!~ ♡

ItsNobody~ ☆

Answer:

[tex]x=\frac{-b\pm \sqrt{b^{2}-4ac } }{2a}[/tex]

Step-by-step explanation:

If a quadratic equation is in the form of ax²+ bx + c = 0

Then the roots of this quadratic equation can be obtained by,

1). Factoring the expression.

2). By quadratic formula.

If we use the method to get the value of x or roots of the equation,

x = [tex]\frac{-b\pm \sqrt{b^{2}-4ac } }{2a}[/tex]

where a, b and c are the coefficients used in the quadratic equation.

Answer:

the probability if that is what you are asking for is 1/3 of winning a prize

Step-by-step explanation:

Answer:

1/3 chance per each person of winning a prize

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

If a number and a variable were together in a term, the number would the the coefficient. The coefficient would multiply the variable.

In '6x', the number '6' is the coefficient. '6' would be multiplying 'x'.

The correct answer should be 6.  

Answer: The answer is c

Step-by-step explanation:

Hi I'mjust tryna get points for my sister this is actually the first time i use this app but yea, sorry if you got disappointed.

Answer:

1/2 mile

Step-by-step explanation:

(1/8)*4 = 1/2 mile

Answer:

4/8 or 1/2

Step-by-step explanation:

becuase 4 times 1/8 is 4/8 which is 1/2

Answer:

The scale factor is k = 1/30

a)

The length of the wing on the model:

b)

The area of the tail section of the plane:

Answer:

The real plane's tail section is 2400 cm^2

Step-by-step explanation:

Well since the model is 1/30 of the real planes size

By multiplying the area of the tail section by 30 we should get the area of the real tail section in the plane

80*30= 2400 cm^2

The real plane's tail section is 2400 cm^2

Answer:

40.5 ft²

Step-by-step explanation:

*First we’ll split the shape into multiple smaller ones. The two ends make separate triangles while the middle makes a rectangle. From there you can solve for their areas.

*Each triangle is the same size, so when solving them, the area of one can just be duplicated. To find the height of each triangle, we take the total base of 8 ft and subtract the top 5.5 ft to get 2.5 ft. After that you’ll divide by 2 (for each triangle) so the height of each one is 1.25 ft.

Triangle:

A = 1/2bh

A = 1/2 (6) (1.25)

A = 3.75 ft²

Both triangles:

A = 3.75 (2)

A = 7.5 ft²

Rectangle:

A = lh

A = 5.5 (6)

A = 33 ft²

Total:

A = 7.5 + 33

A = 40.5 ft²

Answer:

Step-by-step explanation:

The shape can be broken down into 2 identical triangles and one rectangle.

Area of 2 triangles= 2(1/2×base×height)

= 2(1/2×6×2.5) = 15ft²

Area of Rectangle = length × breadth

= 6 × 5.5 = 33ft²

Area of figure = Area of 2 triangles + Area of Rectangle

= (15 + 33) ft² = 48ft²

Oh my god im so sorry i didnt mean to copy and paste my question here

https://www.calculatorsoup.com/calculators/math/mixednumbers.php

this site is a fraction calculator, it what i use try it!

18 + 4 ÷ 2 − 8

Following PEDMAS, divide first:

18 + 2 -8

Now add and subtract to get the final answer:

18+2 = 20

20-8 = 12

The answer is 12

Answer:

12

Step-by-step explanation:

Answer:

The correct answer is

C. 23.1

Step-by-step explanation:

i think this is correct

Answer:

16 candles

Step-by-step explanation:

first you must know what the volume of the rec prism is so multiply the b*h*w and you will have 240. divide 3840 by 240 and you will have 16

Answer:

16

Step-by-step explanation:

We need to find out the area of each candle. We can do this by multiplying all the lengths out and getting 240 [tex]cm^3[/tex] per candle. Now we divide 3840, the total amount of wax used, by 240 the amound needed for one candle, and we get 16. This means 16 candles were made.

Answer:

(2 x 2 x 2) x (0.03125)

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

[tex]\text{Solve for v:}\\\\4v-8\leq5v+5\\\\\text{Subtract 5v from both sides}\\\\-v-8\leq5\\\\\text{Add 8 to both sides}\\\\-v\leq13\\\\\text{Divide both sides by -1, while also flipping the inequality}\\\\\boxed{v\geq-13}[/tex]

Answer:

v>=-13

Step-by-step explanation:

4v-8<=5v+5

4v-5v-8<=5

-v-8<=5

-v<=5+8

-v<=13

v<=-13

v>=-13

Answer:

Hey there!

We can write this equation: 2x+4x=180

6x=180

x=30

Hope this helps :)

The two angles are supplementary angles. When added together they equal 180 degrees.

2x + 4x = 180

Combine like terms:

6x = 180

Divide both sides by 6:

X = 180/6

X = 30

Answer:

83

Step-by-step explanation:

40 - 15 = 25

25 - 7 = 18

40 + 25 + 18 =

83

We know that Albert has 40 toy cars.

If Brad has 15 fewer cars than Albert, Brad has 40 - 15 or 25 cars.

Now, we know that Chris has 7 fewer cars than Brad.

So Chris would have 18 cars.

Altogether, they would have 40 + 25 + 18 cars or 83 cars.

Answer:

[2×10*(-3) × (4×10*(4)] = 80

Step-by-step explanation:

First of all 0.002 is 10*(-3) and not 10(-2) , so you can eliminate the first 2 answers.

Second of all, according to the calculator the left equation is correct, while the right one isn't... so there you go

Glad to help :)

Answer: the answers are both A and B

Step-by-step explanation:

square root of 64 is 8 and the square root is 225 is 15. It can be both positive and negative

Answer:

Volume is units cubed

area is units squared

Units cubed will be the correct label.

We have a solid figure.

We have to determine the correct unit of labelling for this figure.

An area is a two - dimensional quantity that encloses all two -dimensional coordinate points using a single dimensional entity. Example - circle.

Volume is a three - dimensional quantity that encloses all the points in the three - dimensional space using a two - dimensional entity.

The volume makes use of three different dimensions to enclose points inside it. Due to this we cannot label the unit as units squared as it represents only two dimensions ([tex]m^{2}[/tex]), whereas units cubed represents three dimensions ([tex]m^{3}[/tex]).

Hence, units cubed will be the correct label.

To solve more questions on area and volume, visit the link below -

brainly.com/question/10188516

#SPJ2

Answer:

(5x) - 2 = -12

Step-by-step explanation:

hope that helps

Answer:

-12

Step-by-step explanation:

Answer:

x = 148

Step-by-step explanation:

CPD is a straight line so it equals 180

CPB + BCD = CPD

x + 32 = 180

Subtract 32 from each side

x+32-32 = 180-32

x =148