Please help ASAP!!!! Which expression is equivalent to

Answers

Answer 1

Answer:

Answer:

First option on the list: $(g^(15))/(8h^6)$

Step-by-step explanation:

Use the distributive property of exponents to get rid of parentheses in the algebraic expression, evaluate the powers of the numerical factors, and finally, cancel common factors in numerator and denominator to arrive at the final answer:

$((2g^5)^3)/((4h^2)^3) =(2^3g^(15))/(4^3h^6) =(8g^(15))/(64h^6) =(g^(15))/(8h^6)$

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Point M with coordinates (3,4) is the midpoint of the line AB and A has the point (-1,6). What is thepoint of B?

One number is 4 more than another, and their sum is 60. What is the smaller number?

Answers

According to your question, there are 2 unknown numbers mentioned.Let the 2 unknown numbers be represented by the variables x & y, thenx is considered to be one of the numbers being more than y by the addition of 4, .ie.x = 4 + y --- (1)The sum of the 2 numbers is 60, i.e.x + y = 60 --- (2)To find the smaller number, we solve eqn (1) & (2) using the concept of substitution, i.e. substitute 4 + y for x in eqn (2), i.e.4 + y + y = 604 + 2y = 602y = 60 - 42y = 56y = 28 ...Ans.Recall that x is more than y by 4, then 28 is the smaller number.

Find the volume of the following cone. Use 3.14 for π.A. 9847.04 cubic meters

B. 39388.16 cubic meters

C. 10257.33 cubic meters

D. 41029.33 cubic meters

Answers

Answer: A. 9847.04 cubic meters

Step-by-step explanation:

From the given picture, we have

The diameter of the cone = 28 m

Then the radius of the cone = $(28)/(2)=14\text{ m}$

Height of the cone = 48 inches

The volume of cone is given by :-

$V=(1)/(3)\pi r^2h\n\n\Rightarrow V=(1)/(3)(3.14)(14)^2(48)\n\n\Rightarrow V=9847.04\text{ m}^3$

Hence, the volume of the cone = $9847.04\text{ m}^3$

Answer:

Step-by-step explanation:

Radius

= 28 ÷ 2

= 14 m

Volume

= 1/3 (3.14) (14)²(48)

= 1/3 (3.14) (196)(48)

= 9847.04 m³

Write an equation for the function that includes the points (-2,3) and (-1,9)

Answers

Answer:

f(x)=6x+15

Step-by-step explanation:

first you find the gradient of the equation with the gradient formula by using the two given points

the gradient is 6, so using the slope equation which is y=mx+b sub 6 into the gradient

you then get y=6x+b

to find b just sub in any of the points and solve the equation.

ps. f(x) essentially stands for a y so don't get confused

hope this helps :)

Answer:

y = 6x + 15.

Step-by-step explanation:

The slope of the line joining these 2 points =

(9-3)/(-1-(-2))

= 6/1

= 6

Use the point-slope form of a straight line:

y - y1 =m(x - x1) Here m = 6 and (x1, y1) will be (-2, 3), so:

y - 3 = 6(x -(-2))

y - 3 = 6(x + 2)

y = 6x + 12 + 3

y = 6x + 15.

state the type of roots for a quadratic equation explaining how the discriminant helps you determine the type

Answers

You could have a Quadratic with 2 distinct solution meaning you have 2 different X intercepts

2 roots means the discriminan is positive in other words

D>0

When the discriminan is 0, D=0 we have exactly one x-intercept.

Discriminan D=0

and finally, if the discriminan were negative

D=0

then there is no solution or root at all.

(;-; my hand hurts)

Step-by-step explanation:

he/ she is right that's the answer

HELP QUICK PLEASE !!!If a is a rational number and b is a rational number, then the product ab must be?
A) rational.
B) imaginary.
C) an integer.
D) irrational.

Answers

The product of two rational numbers is another rational number.

The product of one irrational number and any other number is
irrational, even if the other one is rational.

The product of any two real numbers is never imaginary,
whether either or both of them is rational or irrational.

The product of two numbers is sometimes an integer
and sometimes not an integer.

the answer is A)a rational number
hope it helps~

What is the equation of the horizontal line that has y- intercept of -4

Answers

Since the line is horizontal (flat) the gradient, m, is zero (0). c is the y-intercept and in this case -4.

Equation of a line: y = mx + c

since m = 0 then,

y = c = -4

therefore y = -4 ...is the equation.

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