Which expression is equivalent to (2x^4y)^3?

PLEASE GIVE ME BRAINLIEST! :)

Answer:

171

Step-by-step explanation:

Let's denote the number of adult tickets sold as "a" and the number of children tickets sold as "c". We can set up two equations based on the given information:

a + c = 467 (the total number of tickets sold)

45a + 18c = 13023 (the total proceeds from the ticket sales)

To solve for "a", we can use the first equation to get "c" in terms of "a":

c = 467 - a

Substituting this into the second equation, we get:45a + 18(467 - a) = 13023

45a + 8406 - 18a = 13023

27a = 4617

a = 171Therefore, the number of adult tickets sold was 171.

Answer:

$886.47

Step-by-step explanation:

The mistake made by student is 6x(3) = 18x

because 18x + 6x = (18+6) x = 24x

A cone with a diameter of 16 centimeters has a volume of 320π cubic centimeters, the height of the cone is 15 cm.

A cone should be emptied at a time after being filled with water. The cylinder is filled to a third with each cone. Since there are three of them, the cylinder will be filled. As a result, the volume of a cone is equal to one-third of the volume of a cylinder.

Cone volume is calculated using the method V=1/3πhr².

Given that,

diameter(d) = 16 cm

radius (r) = d/2 = 8 cm

volume = 320π cubic centimeters

πr²h/3 = 320π

or, [π × (8)² × h]/3 = 320π

or,  h = (3 × 320)/(8)²

or, h = 15 cm

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Answer:

  a) 30 kangaroos in 2030

  b) decreasing 8% per year

  c) large t results in fractional kangaroos: P(100) ≈ 1/55 kangaroo

Step-by-step explanation:

We assume your equation is supposed to be ...

  P(t) = 76(0.92^t)

__

a) P(10) = 76(0.92^10) = 76(0.4344) = 30.01 ≈ 30

In the year 2030, the population of kangaroos in the province is modeled to be 30.

__

b) The population is decreasing. The base 0.92 of the exponent t is the cause. The population is changing by 0.92 -1 = -0.08 = -8% each year.

The population is decreasing by 8% each year.

__

c) The model loses its value once the population drops below 1/2 kangaroo. For large values of t, it predicts only fractional kangaroos, hence is not realistic.

  P(100) = 75(0.92^100) = 76(0.0002392)

  P(100) ≈ 0.0182, about 1/55th of a kangaroo

There is no change in its slope as initial and final slope is 1.

What is slope?

In arithmetic, the slope or gradient of a line may be a variety that describes each the direction and therefore the abruptness of the line.

Main body:

formula for slope with two points form is =

y -y₁ =( y₂-y₁ /x₂-x₁ )(x - x₁)

according to question ,

points are (0,0) and (3,3)

y - 0 = (3-0/3-0)(x -0)

y = 3/3 *x

y = x

hence slope of line is 1.

Now points are (0,0) and (-3,-3).

y - 0 = (-3-0/-3-0)(x -0)

y =- 3/-3 *x

y = x

hence slope of line is 1.

So there is no change in its slope.

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Answer:

\(8 {x}^{2} - 6x - 5 = x\)

\(8 {x}^{2} - 7x - 5 = 0\)

x = (7 + √((-7)^2 - 4(8)(-5)))/(2×8)

= (7 + √(49 + 160))/16

= (7 + √209)/16

= -.4661, 1.3411 (to 4 decimal places)

Answer:

9

Step-by-step explanation:

For one throw the probability of a miss is 1/2 since there are just two outcomes

Similarly for one throw the probability of a score is 1/2 since there are two outcomes.

Therefore for 8 trials we expect at least for different trials starting from 1

8 miss 0 score

7 miss 1 score

6 miss 2 score

5 miss 3 score

4 miss 4 score

3 miss 5 score

2 miss 6 score

1 miss 7 score

0 miss 8 score

So the number of possible outcomes is 9

And this define by what we call the binomial probability and is defined as

The additional 60 men, the provisions will last for approximately 20 weeks.

To determine how long the provisions will last with the additional 60 men, we need to consider the total number of people and the original duration the provisions were meant to last.

Originally, the provisions were intended to sustain 400 men for 23 weeks. This means that the provisions were estimated to be sufficient for a total of 400 * 23 = 9200 person-weeks.

Now, with the additional 60 men, the total number of men becomes 400 + 60 = 460.

To calculate how long the provisions will last with the increased number of men, we divide the total person-weeks by the new number of men:

Provisions last = Total person-weeks / Number of men

= 9200 / 460

≈ 20 weeks (rounded to the nearest whole number)

The additional 60 men will extend the supply's shelf life to around 20 weeks.

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9514 1404 393

Answer:

  71.4

Step-by-step explanation:

The perimeter of the polygon is the sum of the lengths of its sides. Opposite sides in this geometry have the same sum, so the perimeter is ...

  P = 2(16.4 +19.3) = 2(35.7)

  P = 71.4 . . . units

__

The missing length on the lower half of the upper right side is 6.3.

Type I error: Reject the null hypothesis H₀, when H₀ is true.

Failure to reject the null hypothesis H₀, when H₀  is untrue is a Type II mistake.

A hypothesis is a proposed explanation or prediction for a phenomenon or observed phenomenon. It is a statement that suggests an explanation for an observed fact or set of facts and provides a basis for further investigation or experimentation.

 Given Information

Determine the hypothesis:

Hₐ: p₁>p₂

Type I error: Reject the null hypothesis H₀, when H₀ is true.

Although being ineffectual, the adjustment gives the impression of being effective.

As a result, more vehicles than anticipated have brake problems, which might result in additional expenses for the company.

Failure to reject the null hypothesis H₀, when H₀  is untrue is a Type II mistake.

Interpretation: The adjustment is successful even though it appears to be ineffective.

As a consequence, fewer automobiles than anticipated have brake issues, which might result in financial savings for the corporation.

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Answer:

1/4

Step-by-step explanation:

2/4 *1/2

(2/4 = 1/2)

1/2 * 1/2

1/4

Answer:

\(\sf \dfrac{1}{16}\)

Step-by-step explanation:

    In exponent multiplication, if bases are same, add the powers.

             \(\sf \boxed{a^m*a^n=a^{m+n}}\)

             \(\sf \boxed{a^{-m}=\dfrac{1}{a^m}}\)

      \(\sf 4^6 * 4^{-8}=4^{6+(-8)}\\\\\)

                   \(\sf =4^{-2}\\\\ =\dfrac{1}{4^2}\\\\=\dfrac{1}{16}\)

Answer:

17.5 miles

Step-by-step explanation:

right!!

The expression for h(x) is,

⇒  h (x) = √(x - 2) + 4

Now, Given that;

Initially the graph f (x) is shifted horizontally to the right.

When the graph shifts to right the function then becomes

f (x) → f (x-b)

Where b is the units by which it is shifted towards right .

So, in the figure we can see that it is shifted 2 units to the right .

So, f(x) → f(x-2)

Since f(x) is,

⇒ f (x) = √x

So, f (x-2) = √x - 2

Now, the new obtained graph is again shifted vertically upward

When the graphs shifts upward;

⇒ f(x) → f(x) + b

where b is the units by which it is shifted upward

So, our obtained f(x-2) when shifted upward by 4 units so using the above given transformation of upward shift

i.e. f(x) → f(x) + b

So, Our new graph h(x) = f(x-2) + 4

⇒  h (x) = √(x - 2) + 4

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Answer:

Step-by-step explanation:

the answer is 0.01

The base of the exponential form  is 10 and the power is -2 therefore the answer is 0.01 if the power was 2 the answer would have been 100

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Answer:

∠ GJK = 102°

Step-by-step explanation:

(2x + 92) and (3x + 63) are same- side interior angles and sum to 180° , so

2x + 92 + 3x + 63 = 180

5x + 155 = 180 ( subtract 155 from both sides )

5x = 25 ( divide both sides by 5 )

x = 5

Then

∠ GJK = 2x + 92 = 2(5) + 92 = 10 + 92 = 102°

y= (-3x+6)2

For parallel lines, slopes are the same,

y = mx + c

Substitute the values,

3 = (-3/2)(-2) + c

3=3 + c,

c = 0

Thus, the equation is y= -3/2x

Hope it helps :)

Answer:

\(y =\frac{x}{4}\)

Step-by-step explanation:

We are given several functions, and we want to figure out which one is linear.

A linear function has both of its variables (x and y) with a power of 1. Variables with other powers do not mean that the function is linear.

Let's go through the list.

Starting with \(y=\frac{3}{x} -7\), we can see that x is in the denominator. If this is the case, it means that the power of x is -1.

Even though y has a power of 1, this is NOT linear, because x has a power of -1.

Now, with y=√x-2, this is also not linear. This is because √x = \(x^\frac{1}{2}\), even though y has a power of 1.

For x² - 1 = y, we can clearly see that x has a power of 2, while y has a power of 1. This means that the function is not linear.

This leaves us with \(y = \frac{x}{4}\). x is in a fraction, however it is not in the denominator. This means that the power of x in this function is 1. We can also see that the power of y in this function is 1.

This means that \(y=\frac{x}{4}\) is linear.

Answer:

x+2 + (-5x+4)/(x^2-2x+1)

See attached

Step-by-step explanation:

Equivalent expression to represent the given division in quotient , remainder and divisor form is equals to \((x+2)+\frac{-5x+4}{x^{2} -2x+1}\).

" Division is defined as the distribution of the given quantity into equal parts as per the conditions apply."

According to the question,

Given expression,

\((x^{3} -8x+6)\) ÷ \((x^{2} -2x +1)\)

As shown in long division we get,

Quotient \(q(x) = x+2\)

Remainder \(r(x) = -5x+4\)

Divisor \(b(x) = x^{2} -2x +1\)

Represent quotient , remainder and divisor in an equivalent form of given expression we get,

\((x^{3} -8x+6)\) ÷ \((x^{2} -2x +1)\) = \((x+2)+\frac{-5x+4}{x^{2} -2x+1}\)

Hence, equivalent expression to represent the given division in quotient , remainder and divisor form is equals to \((x+2)+\frac{-5x+4}{x^{2} -2x+1}\).

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Answer:

1/5

Step-by-step explanation:

There are 25 possible outcomes. (5 for each number.  For example, the 5 that start with 2 are 2-2, 2-3, 2-4, 2-5, and 2-6.)

The ones that equal 8 are:

6-2

2-6

3-5

5-3

4-4

5 out of 25 is 5/25, or 1/5

Answer: 24 Inches

Step-by-step explanation:

Answer:

its 2/3

Step-by-step explanation:

i have da proff

Answer: Themba needs a total of 7.5  cups of yogurt to make 5 bowls of fruit dip, so 0.75 cup(s) will be needed

Step-by-step explanation:

your welcome.

Answer:

Personally, I think it is A.

Step-by-step explanation:

14.3 x 17.2 = 245.96

245.96 ÷ 2 is 122.98

The Answer is A)

Answer:

The answer is A

Step-by-step explanation:

I took the test and I got it right trust me!!

Hope I helped!!!

Answer:

I need the rotation in degrees around the origin (flip around x axis, 90 degrees counter clockwise) or send all of the graph options

Step-by-step explanation:

Answer:

31.3

Step-by-step explanation:

Order of Operations, Division goes first, then Addition.

19.4/2 = 9.7

20.6 + 9.7 = 31.3

Answer:

20.6 + 19.4 ÷ 2

19.4 ÷ 2 = 9.7

20.6 + 9.7

= 30.3

Hope this helps :D

Answer:

A) y=9x

B) y=45 when x=5

Step-by-step explanation:

Part A

\(y=kx\\-27=k(-3)\\-27=-3k\\9=k\\y=9x\)

Part B

\(y=9(5)\\y=45\)

Answer:

undefined slope because it's a straight line