Economists predict that Americans will spend $1,180 on electonics in

Simplify the expression x6 • x4

Igoryamba

Answer:

24x^2

Step-by-step explanation:

8 0

3 years ago

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On a average day a horse might drink 50 la sheep might drink 4 l and a chicken might drink 200ml how much water would a farm wit

horsena [70]

Horse- 50l
sheep-4l
chicken-200ml

first you have to convert all the symbols into one, so we'll convert liters into milliliters,

1000ml=1l

horse= 50 ×1000=50000ml
sheep=4×1000=4000ml
chicken= 200ml

so now we have to multiply them by the number of animals,

h=50000ml×3=150000ml
s=4000×15=60000ml
c=200×12=2400ml

now add them together,

150000+60000+2400=212400ml

convert it into litres,
212400÷1000=212.4l

answer= 212.4 l

8 0

3 years ago

The sum of twice n and 5

yKpoI14uk [10]

Answer:

it is either 2^n+5 or n²+5

Step-by-step explanation:

I'm not one hundred percent sure

4 0

2 years ago

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If you can solve all parts I will give brainliest (also give strategy)

Alexxx [7]

The Halloween conical hat, with given height, circular base and brim

extension has the following calculated parameters;

Part a. The slant height is 18.2 inches

Part b. The volume of the cone is $37\frac{1}{2} \cdot \pi$ in.³

Part c. The area of the brim, A = 36·π in.²

Part d. The area of the brim is found by subtracting the area of the base of the cone from the area covered by the perimeter of the brim

Reasons:

Known parameters;

Height of the conical portion, h = 18 inches

Base circumference, C = 5·π inches

Part a. Slant height of the conical portion; Required

Solution:

The circumference of a circle, C = 2·π·r

Therefore;

$r = \dfrac{C}{2 \cdot \pi}$

Which gives;

$r = \dfrac{5 \cdot \pi}{2 \cdot \pi} = \dfrac{5}{2} = 2.5$

Radius, r = 2.5 inches

According to Pythagoras's theorem, we have; s² = r² + h²

Where;

s = The slant height of the cone

s² = 2.5² + 18² = 330.25

s = √(330.25) ≈ 18.2

The slant height, s ≈ 18.2 inches

Part b. The measure in cubic inches of candy that exactly fills the conical portion of the hat is the volume of the cone.

$Volume \ of \ a \ cone = \dfrac{1}{3} \cdot \pi \cdot r^2 \cdot h$

Therefore;

$V = \dfrac{1}{3} \times \pi \times 2.5^2 \times 18 = 37\frac{1}{2} \cdot \pi$

The volume of the cone, V = $37\frac{1}{2}$ ·π in.³

Part c. The extension of the brim from the base of the cone = 4 inches

The radius of the brim, R = Radius of the base of the cone + 4 inches

∴ R = 2.5 inches + 4 inches = 6.5 inches

Area of the brim, A = Area of the 6.5 inch circle - Area of the circular base of the cone

∴ A = π × 6.5² - π × 2.5² = 36·π

The area of the brim, A = 36·π in.²

Part d. The procedure for solving the question in part c, is described as follows;

The area of the brim can be found by finding the entire area of the circle formed by the perimeter of the brim, then subtracting the area of the base of the cone from that area.

Learn more here:

brainly.com/question/17023854

4 0

2 years ago

Find the value of k if (x-3) is a factor of P(x)=2x3-5x2+3x+k

blsea [12.9K]

Answer:

k = -18

Step-by-step explanation:

If x-3 is a factor, what this means is that if we substitute;

x = 3 into the equation, we should get 0

This is from the factor theorem

Thus ;

P(3) = 0 = 2(3)^3 -5(3)^2 + 3(3) + k

0 = 54 - 45 + 9 + k

k + 18 = 0

k = -18

4 0

3 years ago