Simplify the polynomial.
7 - 2x + x3 – x2 + x

Answer:

∠WVU = 67°

Step-by-step explanation:

∠WVU = 1/2(arc WV)

8x + 11 = 1/2(15 + 17x)

8x + 11 = 7.5 + 8.5x

subtract 7.5 and 8x from each side of the equation:

0.5x = 3.5

multiply both sides by 2:

x = 7

∠WVU = 8(7) + 11 = 67°

proof:

arc WV = 15 + 17(7) = 134° which is 2 x 67°

Answer:

19

Step-by-step explanation:

Answer:

144° is the correct answer

sumpplement (angles that adds up to 180°)

: 180°-36°=144°

Answer:

3360ft^3

Step-by-step explanation:

Volume of each trailer = 20ft * 7ft *8ft

Volume of each trailer = 140*8

Volume of each trailer = 1120ft^3

Since there are 3 of such cargo;

Capacity of the trailer =3(1120)

Capacity of the trailer  = 3360ft^3

Hence the capacity of the trailer is 3360ft^3

[tex] {(x + 3)}^{2}(x - 2)(x + 4)(x - 4)[/tex]

Step-by-step explanation:

[tex] {(x + 3)}^{2} (x - 2) \: \: \: (x + 3)( {x}^{2} - 16)[/tex]

The first one can be kept in that form while the second can be factored as

[tex](x + 3)(x + 4)(x - 4)[/tex]

so we can see that the LCM is

[tex] {(x + 3)}^{2}(x - 2)(x + 4)(x - 4)[/tex]

Answer:

First we Check if its an AP or GP

Its an AP because the Second term Minus the First term is = to 3rd term Minus Second term

Since it said "Sum"

The formula we should think Of is

Sn = n/2[2a + (n-1)d]

n=100

a(First term) =100

Common difference 'd' = Second term - First term or Third term - Second term

So

d= 98-100 or 96-98

d=-2.

Applying the Formula...

Sn = 100/2 [2(100) + (100-1)(2)]

Sn = 50[200 + (99)(2)]

Sn= 50[200 + 198]

Sn = 50[398]

Sn = 19,900.

Answers:  

============================================================

Explanation:

Part (a)

A regular triangular pyramid, aka regular tetrahedron, has all four triangles that are identical copies of one another. They are congruent triangles. This will apply to part (b) as well.

To find the area of one of the triangles, we'll use the formula

A = 0.25*sqrt(3)*x^2

where x is the side length. This formula applies to equilateral triangles only.

In this case, x = 20, so

A = 0.25*sqrt(3)*x^2

A = 0.25*sqrt(3)*20^2

A = 173.20508 approximately

That's the area of one triangle, but there are four total, so the entire area is about 4*173.20508 = 692.82032 which rounds to 693 sq cm.

The units "sq cm" can be written as "cm^2".

----------------------------

Part (b)

We'll use the same idea as part (a). But the formula to find the area of one triangle is much simpler.

The area of one of the triangles is A = 0.5*base*height = 0.5*6*4 = 12 sq cm.

So the area of all four triangles combined is 4*12 = 48 sq cm

This area is exact.

The area of each 2D flat net corresponds exactly to the surface area of each 3D pyramid. This is because we can cut the figure out and fold along the lines to form the 3D shapes.

Answer:

Step-by-step explanation:

angle A+angle B=90 degree

8x-23+7x-7=90

15x-30=90

15x=90+30

x=120/15

x=8

substitute the value of x in angle A

8x-23

8*8-23

64-23

41 therefore angle A=41 degree

Answer:

187/40

Step-by-step explanation:

have a nice day!

The fraction for 4.675 is 187/40 or 4 27/40

Answer:

8

Step-by-step explanation:

Side AB corresponds to side DE, so they must be congruent.

2y + 20 = 36

2y = 16

y = 8

Answer: 8

P.S. I don't see how the answer can be anything but 8.

Answer:

8

Step-by-step explanation:

"y" literally needs to be 8. It clearly says attempt 1 out of 20 in your screen. You haven't tried it and it's not incorrect. Stop the cap.

Answer:

A≈1243.4ft²

Step-by-step explanation:

A=πr2

C=2πr

Solving forA

A=C2

4π=1252

4·π≈1243.39799ft²

Answer:

1243.4

Step-by-step explanation:

You can find the area of a circle from circumference with a few different formulae.

c = 2πr, or 19.89 * π = 125

Then, now that you know the radius, you can use the formula A = πr².

1243.4 = 395.79

Hope that this helps!

Answer:

11.8

Step-by-step explanation:

3(12.4) + 6(11.5) =  37.2 + 69 = 106.2

106.2/9 = 11.8

Answer:

B

Step-by-step explanation:

For the given situation, system of equations is represented by

3x + 4y = 4.25

5x + 2y = 4.75

"A system of equations is a finite set of equations for which we find the common solution."

According to question,

x represents number of apples

y represents number of oranges.

Two situations are given for which we need to find out which system of equations it represents.

Situation 1 : Thomas paid $4.25 for the three apples and four oranges , which can be represented by equation:

3x + 4y = 4.25

Situation 2: Casey paid $4.75 for five apples and two oranges, which can be represented by equation:

5x + 2y = 4.75

Hence we can conclude that Option B is correct.

Learn more about system of equations here

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Answer:

3/2 or 1.5

Step-by-step explanation:

trust me

Complete question :

The dimensions of a right rectangular prism are 1.5 cm, 0.5 cm and 2. 25 cm.

What is the volume of the prism?

A. 0.75 cm

B. 1.6875 cm

C. 3.375 cm

D. 4.25 cm

Answer:

1.6875 cm³

Step-by-step explanation:

Given the dimension :

1.5 cm by 0.5 cm by 2.25 cm

The volume of a rectangular prism is given by :

Volume = Length * width * height

Volume, V = 1.5cm * 0.5cm * 2.25cm

Volume of prism = 1.6875 cm³

Hence, the volume of the rectangular prism is 1.6875 cm³

Answer:

I can see black screen no photo for answering.

Answer:

C) f(x)= 682 • 0.95^x

Step-by-step explanation:

The formula for Exponential Decrease is given as:

y = a(1 - r)^x

Where

y = f(x)

a = Initial size of the population = 682

r = Growth rate = 5% = 0.05

x = Time is years

Therefore, our equation can be written as:

f(x) = 682 × (1 - 0.05)^x

f(x) = 682 × (0.95)^x

Therefore, the exponential function that models this situation x months after the initial month is

option C)

f(x) = 682 • 0.95^x

Answer:

A) 19

Step-by-step explanation:

prime number: Any whole number which is greater than 1 and has only two factors that is 1 and the number itself

A) 19 => 1 × 19 correct

B) 26 => 1 × 26, 2 × 13 incorrect

C) 48 => 1 × 48, 2 × 24, 3 × 16, 4 × 12, 6 × 8  incorrect

D) 52 => 1 × 52, 2 × 26, 4 × 13 incorrect

Answer:

1. D

2.C

3.D

4.D

5.C

6.A

7.B

Answer:

56.25%

Step-by-step explanation:

The surface area of a sphere is 314.16 square units.

A sphere is a 3 dimensional figure, which is made up of all points in the space, which lie at a constant distance called the radius, from a fixed point called the center of the sphere.

For the given situation,

The radius of the sphere,r =  5 units

The formula of the surface area of a sphere is

[tex]A=4\pi r^{2}[/tex]

On substituting the above values,

⇒ [tex]A=4(3.14)(5)^{2}[/tex]                [∵ π = 3.14]

⇒ [tex]A=(4)(3.14)(25)[/tex]

⇒ [tex]A=314.16[/tex]

Hence we can conclude that the surface area of a sphere is 314.16 square units.

Learn more about sphere here

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Answer:

Klean company = 20 + 25h

Dustbuster cleaning services = 35h

Step-by-step explanation:

Let

Number of hours = h

Equation to calculate the cost of cleaning your house

Klean company = 20 + 25h

Dustbuster cleaning services = 35h

Find the number of hours when the cost of cleaning house by both companies will be equal

Klean company = Dustbuster cleaning services

20 + 25h = 35h

20 = 35h - 25h

20 = 10h

h = 20/10

h = 2 hours

Number of hours = h = 2 hours

Answer:

I do believe the degree would be the exponents so for a I'm going to say 3 and 2.

Step-by-step explanation:

for b I'm going to say 3 for c I'm saying 4 and 2 and for d I'm going to say 2. I'm am rlly srry if this doesn't help or if it is wrong but I am hoping that it is right.

Answer:

Step-by-step explanation:

81^(1/4)=3

Answer:

it´s 10

Step-by-step explanation:

2(10) + 50 = 70

20 + 50 = 70

70 = 70

Answer:

[tex]x = 10[/tex]

Step-by-step explanation:

Move all terms that don't contain  x  to the right side and solve.

Answer:

0.05 im pretty sure to my calcutor

Step-by-step explanation:

Step-by-step explanation:

your basically finding the area witch is b*h so for 3.(im not really sure so don't fully trust me on three lol) 6×8=48mm

then on 4. it's 10×13=130mi