What is 64x^9 as a monomial cube

Answer: We know that the function f(x) is an exponential function. An exponential function can be written in the form:

f(x) = a * b^x

where:

a = the initial value (when x = 0)

b = the base of the exponential function

x = the independent variable

To find the values of a and b, we can use the given information:

f(1) = 8, so:

8 = a * b^1

8 = a * b

f(10.5) = 72, so:

72 = a * b^10.5

We can now use the first equation to solve for a:

a = 8/b

Substituting this value into the second equation, we get:

72 = (8/b) * b^10.5

Simplifying:

72 = 8 * b^9.5

9 = b^9.5

b = 9^(1/9.5)

b = 1.4608 (approx.)

Substituting the values of a and b into the exponential function, we get:

f(x) = 8 * 1.4608^x

Now we can find f(3.5):

f(3.5) = 8 * 1.4608^3.5

f(3.5) = 8 * 6.2797

f(3.5) = 50.2376 (approx.)

Therefore, f(3.5) is approximately equal to 50.24.

Step-by-step explanation:

Answer:

1134 ft^3

Step-by-step explanation:

Answer:

  m = 1 + 2log(x)/log(y)

Step-by-step explanation:

Taking logarithms, you have ...

  log(x) +m·log(y) = log(y) +3log(x)

  m·log(y) = log(y) +2·log(x) . . . . subtract log(x)

  m = (log(y) +2·log(x))/log(y) . . . divide by the coefficient of m

  m = 1 +2·log(x)/log(y) . . . . . . . simplify a bit*

_____

* The "simplified" form will depend on your preference. Here, I like the integer 1 brought out because most logs are irrational. The result may be very slightly more accurate if we add 1, rather than log(y)/log(y)--depending on your calculator.

answer: e - 8 = 17  

explanation:

The model predicts the population to be 671,520 in 14 years

An exponential function is a mathematical function of the form \(R^{x}\) where x is a variable and R is a constant.

Exponential functions form exponential curves with decreasing or increasing slope depending on the magnitude of the variable x.

Population, P(t) = 480,000\(e^{-0.024t}\),

when t = 14

substitute t = 14 into the equation,

Population, P(t) = 480, 000\(e^{-0-024 x 14}\) = 480, 000 x 1.399 = 671,520

In conclusion, the Population of the model after 14 years is 671,520

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Denis's and Dasha's methods use different operations to simplify the expressions in different orders.

Denis's method uses addition, subtraction, and multiplication operations, but Dasha's method does not.

Multiplication operations are described as using mathematical operation that indicates how many times a number is added to itself.

Denis's Assignment

2* 6+2w-54

12+2w = 54

12-12+2w= 54-12

2w=42

w= 21  

Dasha's Assignment

54-2* 6

54-12= 42

The two widths add to 42 cm

42/ 2-21

We can see that Dasha's method also uses addition and subtraction operations, but she simplifies the expression by performing the operations in a different order.

She subtracts the product of 2 and 6 from 54.

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Lydia should randomly select a sample of students from the entire student population. She should then administer the survey to all of the randomly selected students.

The sample space of an experiment is the set of all possible outcomes for that experiment. Sample space is all the possible outcomes of an event. Sometimes the sample space is easy to determine.

Given Lydia wants to conduct a survey regarding her high school's uniform policy.

Since Sample space is all the possible outcomes of an event. Sometimes the sample space is easy to determine. So to conduct the survey  Lydia should randomly select a sample of students from the entire student population. She should then administer the survey to all of the randomly selected students is the best technique because every grade students are involved in it.

So technique A is well designed and well conducted.

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Answer:

7. 14

15. 30

28. 56

32. 64

18 36

x 2x

1/2y. y

2x. 4x

x+3 2x+9

Step-by-step explanation:

each out is double the in

Answer:

a. (0,3)

b. (-4,-3)

c. (-2,0)

d. (-1 1/3, 1)

e. (4,9)

f. (-3 1/3, -2)

Step-by-step explanation:

aₙ = 4 × 5⁽ⁿ ⁻ ¹⁾ is the explicit formula for the geometric sequence: 4, 20, 100, 500.

A geometric progression is simply a sequence of non-zero numbers, every term after the first can be determine by multiplying the previous number by a common ratio.

The nth term of a geometric sequence is expressed as;

aₙ = a₁ × r⁽ⁿ ⁻ ¹⁾

Where a₁ is the first term, r is the common ratio and n is the number of terms.

Given the sequence in the question;

4, 20, 100, 500, ...

First determine the common ratio.

r = any term / previous term

r = 20/4

r = 5

Th first term in the sequence is 4.

Plug these into the geometric sequence formula and simply.

aₙ = a₁ × r⁽ⁿ ⁻ ¹⁾

aₙ = 4 × 5⁽ⁿ ⁻ ¹⁾

Therefore, the explicit formula for the sequence is aₙ = 4 × 5⁽ⁿ ⁻ ¹⁾

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Answer: y=3x-2

Step-by-step explanation:

3y-9x=-6

First you will need to add 9x to the other side so your equation will look like 3y=9x-6. Then you need to divide all the numbers by 3. So 3y divided by 3 and 9 divided by 3 and -6 divided by 3. Your final answer should be y=3x-2.

Answer:

This equation in slope intercept form would be y = 3x - 2

Step-by-step explanation:

The following is how to solve this equation:
3y - 9x = -6
+9x +9x
----------------------
3y = 9x - 6
divide each of the numbers by 3

So the answer is y = 3x - 2

No, this shape does not belong in a group of shapes that have more than one pair of perpendicular sides.

In order to determine if the shape belongs to a group of shapes with more than one pair of perpendicular sides, we need to examine the number of right angles in the shape.

A right angle is a 90-degree angle, and shapes with perpendicular sides have right angles at their intersections. By counting the number of right angles in the shape, we can determine if it has more than one pair of perpendicular sides.

If the shape has only one right angle, then it does not have more than one pair of perpendicular sides. But if it has two or more right angles, then it would belong to the group of shapes that have more than one pair of perpendicular sides.

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Answer:

Step-by-step explanation:

Given is the absolute value function.

General form of same is:

We can see a = 1 since the graph opens up and no stretch.

The vertex (h, k) is at (2, 0).

So the equation is:

Answer:

575g

Step-by-step explanation:

Since we need the ans in grams first ensure that both values are in the same unit.

So convert 0.4 kg into grams by multiplying it with 1000grams.

This gives us 400g

175+400=575g

The area of the segment is 9( π-2) units²

The area of a figure is the number of unit squares that cover the surface of a closed figure.

A segment is the area occupied by a chord and an arc. A segment can be a major segment or minor segment.

Area of segment = area of sector - area of triangle

area of sector = 90/360 × πr²

= 1/4 × π × 36

= 9π

area of triangle = 1/2bh

= 1/2 × 6²

= 18

area of segment = 9π -18

= 9( π -2) units²

therefore the area of the segment is 9(π-2) units²

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ANSWER:

10:00 AM- 10:30 AM- 11:00 AM- 11:30 AM- 12:00 M- 12:30 PM- 1:00 PM- 1:30 PM- 2:00 PM- 2:30 PM- 3:00 PM- 3:30 PM- 4:00 PM- 4:30 PM- 5:00 PM

STEP-BY-STEP EXPLANATION:

The least common multiple of 10 min (chemistry presentation) and 6 min (recycling presentation) min is 30 min. So, the two presentations have the same starting time every half hour.

Therefore, presentations start at the same time at:

10:00 AM

10:30 AM

11:00 AM

11:30 AM

12:00 M

12:30 PM

1:00 PM

1:30 PM

2:00 PM

2:30 PM

3:00 PM

3:30 PM

4:00 PM

4:30 PM

5:00 PM

The value of side EA is,

EA = 16.9

We have to given that;

Circle E with diameter CD and radius EA.

And, AB is tangent to E at A.

Here, AB = 34 and EB = 38

Hence, By using Pythagoras theorem we get;

AB² + AE² = EB²

34² + AE² = 38²

1156 + AE² = 1444

AE² = 1444 - 1156

AE² = 288

AE = √288

AE = 16.9

Thus, The value of side EA is,

EA = 16.9

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We must determine the percentage of the total area under the uniform distribution curve to the right of 3,814 pounds in order to determine the probability that a car will weigh more than 3,814 pounds.

Mathematicians use probability theory to determine the likelihood that an event will occur or a statement is accurate. A probability of essentially 0 shows how likely an occurrence appears to occur, while a risk is a number between 0 and 1, where 1 implies certainty.

(a) The average of the vehicle's lowest and highest weights, or (2,674 + 4,089) / 2, equals 3,382 pounds, is the mean weight of the vehicle. The mean weight is 3,382 when rounded to the closest whole number.

(b) The formula for calculating the standard deviation of a uniform distribution is (b - a) / 12, where a denotes the lowest value and b denotes the maximum value. We arrive at (4,089 - 2,674) / 12 = 408.4751 after substituting the numbers. The standard variation, rounded to four decimal places, is 408.475.

(c) We must determine the percentage of the total area under the uniform distribution curve that lies to the left of 2,961 pounds in order to determine the likelihood that a car will weigh less than 2,961 pounds. (2,961 - 2,674) / (4,089 - 2,674) = 0.33815 is the formula for this region. The chance, rounded to four decimal places, is 0.3381.

(d) We must determine the percentage of the total area under the uniform distribution curve to the right of 3,814 pounds in order to determine the likelihood that a car will weigh more than 3,814 pounds. (4,089 - 3,814) / (4,089 - 2,674) = 0.2904 gives the area of this triangle. The chance, rounded to four decimal places, is 0.2904.

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The Pythagorean theorem is the idea that the sum of the two legs which are both squared is equal to the hypotenuse's length squared.

     *look at the image I attached for a better explanation

By looking at the picture, we are missing the leg's length, and by using the Pythagorean theorem, we get the equation

    \(?^2+5^2 = 13^2\\?^2 + 25 = 169\\?^2 = 144\\? = 12\)

Thus the missing side length is 12 cm

Hope that helps!

Answer: 5/6

Step-by-step explanation:

(2/3×2/2)+(1/6×1/1)=?

4/6+1/6=5/5

Therefore , the solution of the given problem of unitary method comes out to be yields 6 quarts of punch as a result.

This common convenience, already-existing variables, or all important elements from the original Diocesan customizable survey that followed a particular event methodology can all be used to achieve the goal. If it does, there will be another chance to get in touch with the entity. If it doesn't, each of the crucial elements of a term proof outcome will surely be lost.

Here,

The quantity of punch produced by the recipe is:

If the punch bowl has an 8-quart capacity and the recipe fills it 3/4 full.

=> 6 pints =  8 * 3/4.

The formula yields 6 quarts of punch as a result.

Therefore , the solution of the given problem of unitary method comes out to be yields 6 quarts of punch as a result.

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Answer: he will be 14

Step-by-step explanation:

Anna is 14 and her brother is 10. Two years ago she was 12. 3/4 of 12 is 9. 9+5 more years is 14. :)))

The question is incomplete, the complete question is;

Which statement best explains why the Exodus is an important event in the Jewish religion?

A) It recalls the journey of the Hebrews from Ur to Canaan.

B) It supported the idea that Canaan was the Promised Land.

C) It describes the important role of Abraham in the Jewish faith.

D) It tells the history of the migrations and settlements of the Jewish people.

Answer:

B) It supported the idea that Canaan was the Promised Land.

Step-by-step explanation:

The Jewish religion holds Canaan as the land promised to Abraham and his seed after him. This was actually a promise that Yahweh made to the Israelite nation before the nation was born.

The promise was made to Abraham. Yahweh also told Abraham that his seed will be enslaved for four hundred years after which He will bring them out and resettle them in the promised land.

The exodus reminds the Hebrews that Yahweh fulfilled His promise of bringing them into the promised land.

Answer:

B

Step-by-step explanation:

1. The domain for which function is one-to-one and non-decreasing [3, ∞).

2. The inverse function in the domain g(x) = √x + 3

To find a domain on which f is one-to-one and non-decreasing, we need to ensure that the function is increasing or non-decreasing (i.e., it is always moving in the positive x direction) and that each value of x maps to a unique value of f(x). A function is one-to-one if it passes the horizontal line test, meaning that every horizontal line intersects the graph at most once.

1. The function f(x) = (x-3)² has a minimum value of zero at x=3, and is   increasing on the interval (-∞, 3) and (3, ∞).

Therefore, the domain on which f is one-to-one and non-decreasing is [3, ∞).

2. To find the inverse of f restricted to this domain, we can first solve for x in terms of f(x):

f(x) = (x-3)²

√f(x) = x-3 (we take the positive square root since we're restricted to the non-negative range of f(x))

x = √f(x) + 3

Now we can define the inverse function g(x) as:

g(x) = √x + 3, where x is in the range [0, ∞).

Note that we have restricted the range of g(x) to [0, ∞) since the function f(x) is non-negative for all values of x, and therefore the inverse function must also be non-negative.

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Answer:

35 minutes

Step-by-step explanation:

because it is composure

Answer:

C, 6

Step-by-step explanation:

31-13 is 18, 18/3 is 6.

Answer:

6

Step-by-step explanation:

31-13= 18

18÷3 = 6

Answer from Gauthmath

Solving question 2.

We need to find the length of side b by using the Pythagorean Theorem.

The Pythagorean theorem is as follows:

Where a and b are the legs of the right triangle and c is the hypotenuse.

We have in the image that the hypotenuse (the side in front of the right angle) for this triangle is 25.

And we know of the legs of the triangle which we will call a:

Substituting these values into the Pythagorean Theorem:

We solve the operations by squaring the number:

now, to solve for b, we need to leave it alone at one side of the equation. For that, we subtract 225 to both sides of the equation:

Finally, to find b, we take the square root of both sides of the equation:

Answer: b=20