MATHEMATICS COLLEGE

Choose the correct simplification of 9x^2(4x + 2x^2 − 1)

Answers

Answer 1

Answer:

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▹ Answer

18x⁴ + 36x³ - 9x²

▹ Step-by-Step Explanation

9x²(4x + 2x² - 1)

36x³ + 18x⁴ - 9x²

18x⁴ + 36x³ - 9x²

Hope this helps!

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How many pounds are there in a 72-ounce package of ground beef?(1 pound=16 ounces)

Answers

Answer:

4.5 pounds of ground beef

Answer:

4.5

Step-by-step explanation:

You would divide 72 by 16 to get 4.5 as the answer.

Heights of women (in inches) are approximately N(64.5,2.5) distributed. Compute the probability that the average height of 25 randomly selected women will be bigger than 66 inches.

Answers

Answer:

the probability that the average height of 25 randomly selected women will be bigger than 66 inches is 0.0013

Step-by-step explanation:

From the summary of the given statistical dataset

The mean and standard deviation for the sampling distribution of sample mean of 25 randomly selected women can be calculated as follows:

$\mu_(\overline x) = \mu _x$ = 64.5

$\sigma_(\overline x )= (\sigma)/(\sqrt n)$

$\sigma_(\overline x )= \frac{2.5}{\sqrt {25}}$

$\sigma_(\overline x )= (2.5)/(5)$

$\sigma_(\overline x )$ = 0.5

Thus X $\sim$ N (64.5,0.5)

Therefore, the probability that the average height of 25 randomly selected women will be bigger than 66 inches is:

$P(\overline X > 66) = P ( (\overline X - \mu_\overline x)/(\sigma \overline x )>(66 - 64.5)/(0.5) })$

$P(\overline X > 66) = P ( Z>(66 - 64.5)/(0.5) })$

$P(\overline X > 66) = P ( Z>(1.5)/(0.5) })$

$P(\overline X > 66) = P ( Z>3 })$

$P(\overline X > 66) = 1- P ( Z<3 })$

$P(\overline X > 66) = 1- 0.9987$

$P(\overline X > 66) =0.0013$

the probability that the average height of 25 randomly selected women will be bigger than 66 inches is 0.0013

Solve 3sqrt(x) = 8/(sqrt(9x - 32)) + sqrt(9x - 32)

Answers

Answer:

Step-by-step explanation:

$3√(x)=(8)/(√(9x-32))+√(9x -32)\n\n\n3√(x)=(8*√(9x-32))/((√(9x-32))*(√(9x-32)))+√(9x-32)\n\n3√(x)=(8*√(9x-32))/(9x-32)+√(9x-32)\n\n\n3√(x)=(√(9x-32))((8)/(9x-32)+1)\n\n(3√(x))/(√(9x-32))=(8+9x-32)/(9x-32)\n\n(3√(x))/(√(9x-32))=(9x - 24)/(9x-32)\n\nTake \ square\n\n((3√(x))/(√(9x-32)))^(2)=((9x-24)/(9x-32))^(2)\n\n(9x)/(9x-32)=((9x-24)^(2))/((9x-32)^(2))\n\n$

9x*(9x - 32) = (9x- 24)²

9x*9x - 9x*32 = 81x² - 2*9x*24 + 576

81x² - 288x = 81x² - 432x + 576

81x² - 288x - 81x² + 432x - 576 = 0

81x² - 81x² - 288x + 432x - 576 = 0

144x - 576 = 0

144x = 576

x = 576/144

x =4

$\huge \color{gray}{ \tt{answer}}$

$x = 4$

Step-by-step explanation:

$3 √(x) = (8)/((9x - 32)) + √((9x - 32))$

move theexpressionto theleft

$3 √(x) - (8)/( √(9x - 32) ) - √(9x - 32) = 0$

transform the expression

$(3 √((9x - 32 x)) - 8 - √(9x - 32) )/( √(9x - 32) )$

set the numerator

$3 √((9x - 32)x) - 8 - (9x - 32) = 0$

remove the parentheses

$3 \sqrt{9 {x}^(2) - 32x} + 24 - 9x = 0$

move the expression to the right

$3 \sqrt{9 {x}^(2) - 32x } - 24 + 9x$

divide both sides

$\sqrt{9 {x}^(2) - 32x } = - 8 + 3x$

simplify the expression

$9 {x}^(2) - 32x = 9 {x}^(2) - 48x + 64$

cancel equal terms

$- 32x = - 48x + 64$

move the variable to the left

$- 32x = + 48x = 64$

collect like terms

$16x = 64$

divide both sides

$= \: \: x = 4$

check thesolution

$3 √(4) = (8)/( √(9 * 4 - 32) ) + √(9 * 4 - 32)$

simplify

$6 = 6$

so the solutionis

$≈ \: \: x = 4$

$\huge \color {cyan}{ \tt{hope \: \: it \: \: helps}}$

In Exercise, expand the logarithmic expression.
ln(x + 1)2

Answers

Answer:

In(x^2+2x+1)

Step-by-step explanation:

In(x+1)^2 = In(x+1)(x+1) = In(x^2+x+x+1) = In(x^2+2x+1)

In the figure at the right AB || XY, and m<1 = 120. Tell weather each statement is true or false with #8, 9, 10, 11, 12, 13, 14, 15, 16, and 17

Answers

Answer:

False

Step-by-step explanation:because it is.

The average speed of a golden eagle is 30 mph and the average speed of a peregrine falcon is 48 mph. How far will the peregrine falcon fly in the time it takes the eagle to fly 40 miles?

Answers

The peregrine falcon flies in the time it takes the eagle to fly 40 miles is 64 miles away.

What is the average speed?

The average speed is the total distance traveled by the object in a particular time interval.

The average speed is a scalar quantity.

The average speed of a golden eagle is 30 mph and the average speed of a peregrine falcon is 48 mph.

The time to fly 40 miles (that time is x):

miles hours

30 ⇒ 1

40 ⇒ x

We use the ruleof three which is to multiply the cross quantities on the table and divide by the remaining quantity:

x = 40(1)/30

x = 4/3 hour

it takes the eagle 4/3 flies to fly 40 miles.

Now we use the velocity of the falcon: 48mph, which can also be represented as:

miles hours

48 ⇒ 1

and we need the distance in miles that the falcon flies in 4/3 hours :

miles hours

48 ⇒ 1

x ⇒ 4/3

Again we use the rule of three (multiply cross quantities and divide by the remainingquantity)

x = (48)× (4/3)

x = 64 miles

Hence, the peregrine falcon flies in the time it takes the eagle to fly 40 miles is 64 miles away.

Learn more about average speed here;

brainly.com/question/9939238

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Answer:

Step-by-step explanation:

64 miles

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