Which expressions are equivalent to 8^x-2? Select all that apply.
(picture below)

Answer:

18π

Step-by-step explanation:

circumference = 2pi*radius

so 2*9 = 18

18pi

hope this helped (:

Answer:

d

Step-by-step explanation:

this says x is greater than -4 meaning the integers cannot include -4

it also says x is less than or equal to one meaning that it can include 1 but not more than 1

d satisfies this inequality.

9514 1404 393

Answer:

 (x -5) meters

Step-by-step explanation:

We assume the area is supposed to be ...

  A = s^2 = x^2 -10x +25

This is a perfect square trinomial, so can be factored as ...

  A = s^2 = (x -5)^2

Then the side length can be represented by the expression ...

  s = (x -5) . . . . meters

Answer:

x-5

Step-by-step explanation:

Khan

Answer:

24x^2

Step-by-step explanation:

Answer:

The answer is x¹⁰

Step-by-step explanation:

1) Use product rule.

\( {x}^{6 + 4} \)

2) Simplify 6 + 4 to 10.

\( {x}^{10} \)

Therefor, the answer is x¹⁰.

Answer:

y       t

_  = _

2     1

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

The corresponding vertical sides are y and 2

The corresponding horizontal lines are x and 1

so

The proportion is equal to

Answer:

I think I've answered this before

Answer:

15/56

Step-by-step explanation:

5/8 x 3/7 = (5x3)/(8x7) = 15/56

Hope it helps!

Answer:

A) <5 and <6 are commentary

B) 72

C < 4 = 22

<3 = 68

Step-by-step explanation:

A) The square drawn over the 2 angles shows that the angles together measure 90 degrees

B) 90 - 18 = 72

C) 4x -10 + 5x + 28 = 90  Combine like terms

9x + 18 = 90  Subtract 18 from both sides

9x = 72   Divide both sides by 9

x = 8

<4

4x - 10

4(8) - 10

32 - 10

<4 = 22

<3

5x + 28

5(8) + 28

40 + 28

68

<3 = 68

Answer:

Part A: Yes, ∠5 and ∠6 are complementary angles because they add up to 90°.

Part B: If the measure of ∠6 is 18°, then the measure of ∠5 is 72° because ∠6+∠5=90° so 90°-18°=72°.

Part C: ∠4+∠3=90°

(4x-10)°+(5x+28)°=90°

add 10 to both sides

4x+5x+28=100

subtract 28 from both sides

4x+5x=72

combine like terms

9x=72

divide both sides by 9

x=8

now plug 8 in for x

∠4=(4(8)-10)°

∠4=22°

∠3=(5(8)+28)

∠3=68°

22°+68°=90°

12/20 is the equivalent fraction of 3/5 with denominator 20 and 5/20 is the equivalent fraction of 1/4 with denominator 20

A fraction represents a part of a whole.

The given fractions are 3/5 and 1/4.

We need to write there equivalent fractions.

Equivalent fractions are those fractions whose answer will be same once we simplify.

The equivalent fraction of 3/5 with denominator 20

3/5×4/4=12/20

12/20 is the equivalent fraction of 3/5 with denominator 20.

Now let us find the equivalent fraction of 1/4 with denominator 20

1/4×5/5

5/20

5/20 is the equivalent fraction of 1/4 with denominator 20.

Hence, 12/20 is the equivalent fraction of 3/5 with denominator 20 and 5/20 is the equivalent fraction of 1/4 with denominator 20.

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Answer:

22.

Step-by-step explanation:

About 22 chicken wings must be purchased for the total cost at Buffalo Bart’s Endless Wings and The Spicy Chicken to be the same.

Let's represent the number of chicken wings as "x".

The total cost at Buffalo Bart’s Endless Wings would be the sum of the initial cost for sides and a drink ($5.60) and the cost per chicken wing ($0.40 per wing times x):

Total cost at Buffalo Bart’s Endless Wings = $5.60 + $0.40x

The total cost at The Spicy Chicken would be the sum of the initial cost for sides and a drink ($10) and the cost per chicken wing ($0.20 per wing times x):

Total cost at The Spicy Chicken = $10 + $0.20x

To find the number of chicken wings where the total costs are the same, we'll set up an equation:

$5.60 + $0.40x = $10 + $0.20x

Now, solve for "x":

$0.40x - $0.20x = $10 - $5.60

$0.20x = $4.40

Divide both sides by $0.20:

x = $4.40 / $0.20

x = 22

So, about 22 chicken wings must be purchased for the total cost at Buffalo Bart’s Endless Wings and The Spicy Chicken to be the same.

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Answer:

2.75

Step-by-step explanation:

Divide 13.75 by five.

Answer:

AAS

Step-by-step explanation:

Answer:

AAS

Step-by-step explanation:

1. (A) we know angle A is congruent to angle E

2. (A) angle B is congruent to D

3. (S) line BC is congruent to line DC

Answer: Width = 160

Step-by-step explanation:

L + W = W + 110 (-w from both sides)

L= 110

110 + 110 = 220

540 - 220 = 320

320 divided by 2 = 160

Width = 160

Answer: 15,552 inches cubed

Hope this helps!

Answer: x = 13

Step-by-step explanation: When solving an equation like this, we are trying to get our variable which is our letter by itself.

So we first want to ask ourselves what is the 14 doing to x. Well, we can see that it's being added to x so to get x by itself, we will do the opposite of addition which is subtraction. So we subtract 14 from both sides of the equation.

The +14 -14 cancels out so we're left with x on the left.

On the right, we must subtract 14 from 27 to get 13.

So we have x = 13 which is the solution to this equation.

Answer:

\(x = 13\)

Step-by-step explanation:

\(x + 14 = 27 \\ x = 27 - 14 \\ x = 13\)

The probability mass function of the hypergeometric distribution can be written as:

P(X = x) = (M choose x) * (N-M choose n-x) / (N choose n)

n = total number of oranges in the group from which the 50 pieces are selected
m = total number of successes (i.e. oranges) in the group from which the 50 pieces are selected
n [ choose ] m = number of ways to choose m oranges out of n oranges in the group
success [ choose ] = the desired outcome of selecting an orange in each trial (i.e. success)
the key components of a hypergeometric distribution. In this case, we are randomly selecting 50 pieces, and the random variable X represents the number of oranges selected. Here are the components:

1. Population size (N): The total number of pieces in the population.
2. Number of successes in the population (M): The total number of oranges in the population.
3. Sample size (n): The number of pieces you are selecting, which is 50 in this case.
4. Number of successes in the sample (x): The number of oranges selected in the sample, represented by the random variable X.

The probability mass function of the hypergeometric distribution can be written as:

P(X = x) = (M choose x) * (N-M choose n-x) / (N choose n)

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the sum is binomial with a degree 3

The statement which is true about the sum of the two polynomials is The sum is a binomial with a degree of 2, the correct option is A.

Terms are added or subtracted to make a polynomial. They're composed of variables and constants all in multiplication.

Example:

x^3 + 3x +5

is a polynomial consisting 3 terms as

x^3, 3x and 5

If there is one term, the polynomial will be called monomial.

If there are two terms, the polynomial will be called binomial

If there are three terms, the polynomial will be called trinomial

We are given that;

The two polynomials 6s2t – 2st2 and 4s2t – 3st2

Now,

The sum of the two polynomials is:

(6s^2t - 2st^2) + (4s^2t - 3st^2)

Simplifying, we get:

10s^2t - 5st^2

This is a binomial with a degree of 2, since the highest power of the variable, s, or t, is 2.

Therefore, the correct answer will be the sum is a binomial with a degree of 2.

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The following sequence. 4, 13 2, 9 does not follow the arithmetic progression.

1. Arithmetic Sequence: A sequence of numbers in which the difference between consecutive terms is constant.
2. d: The common difference between consecutive terms in an arithmetic sequence.
3. a1: The first term in the arithmetic sequence.

Your given arithmetic sequence is 4, 13, 2, 9.

(a) To identify d and a1, let's first find the common difference (d) between consecutive terms:

d = 13 - 4 = 9
However, this sequence does not have a consistent common difference, as the next term (2) does not follow the same pattern:

2 - 13 ≠ 9

Unfortunately, this sequence is not an arithmetic sequence, as the common difference between consecutive terms is not constant.

(b) Since this is not an arithmetic sequence, we cannot determine the next three terms based on a consistent common difference.

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Externality refers to the impact of a good or service on third parties who are not directly involved in the transaction. In the context of a market, an externality can be positive (beneficial) or negative (harmful).

To identify a market for a good or service that does NOT cause an externality, we can consider a basic example of a local grocery store selling apples. In this case, the transaction between the store and the buyer does not have any significant impact on third parties. The store sells the apples, and the buyer consumes them. There are no external effects on others in the market or the surrounding community.

This market for apples does not generate positive or negative externalities because the transaction is limited to the buyer and the seller. It does not create any spillover effects that affect others, such as increased pollution, traffic congestion, or health benefits to nearby individuals.

In summary, a market for apples in a local grocery store is an example of a market for a good or service that does NOT cause an externality.

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Answer:

  9

Step-by-step explanation:

The scale factor is the ratio of a Figure B dimension to the corresponding Figure A dimension.

__

The ratio of left-side dimensions is ...

  scale factor = fig B/fig A = 81/9 = 9

The scale factor is 9.

Answer:9

Step-by-step explanation:

Answer: No

Step-by-step explanation:

Let \(f(x)=x^3 +8x^2 +11x-20\).

Then, \(f(5)=5^3 +8(5)^2 +11(5)-20=360\).

Since \(f(5) \neq 0\), \((x-5)\) is not a factor of \(f(x)\) by the factor theorem.

The amount of interest earned on a deposit of $60.00 at a rate of 9% per annum for 2 years is $108.

As per the given problem:

Amount deposited = $60.00

Interest rate per year = 9%

The formula for calculating the interest is given by:

Interest = (Principal × Rate × Time)/100

Where Principal is the initial amount invested or deposited

Rate is the percentage of interest that you earn per annum

Time is the duration for which you want to calculate the interest

Putting the values in the above formula, we get:

Interest = (60 × 9 × 2)/100= (108 × 1)/1= $108

So, the amount of interest earned on a deposit of $60.00 at a rate of 9% per annum for 2 years is $108.

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Answer:

19

Step-by-step explanation:

A' represents everything out A

B' represents everything out B

C' represents everything out C

So only the outside is left hope this helps

Answer:

∠POS = 128°

Step-by-step explanation:

Angles on a straight line always add up to 180°

Therefore:

∠POS + ∠POQ = 180°  (as they are the angles on line SOQ)

∠POS + 52° = 180°

∠POS = 180° - 52°

∠POS = 128°

\(\huge{\color{magenta}{\fbox{\textsf{\textbf{Answer}}}}}\)

To find :-

The value of ∠POS

Given :-

∠POQ = 52°

Solution :-

The ∠POQ + ∠POS lies on same line SOQ. So they are linear pair and linear pair angle forms sum of 180°.

∠POS + ∠POQ = 180° {linear pair}

∠POS + 52° = 180°

∠POS = 180° - 52°

∠POS = 128°

Result :-

The angle ∠POS is 128°.

An off-by-one error is a common type of error that occurs when programming or solving mathematical problems.

It refers to a situation where a programmer or mathematician makes an error by including or excluding an element that they should have not. This can lead to unexpected results and bugs in the code or calculation. The error is typically caused by a misunderstanding of the boundaries of an array, list or any other data structure. These types of errors can be difficult to spot and can cause serious problems, especially in situations where precision is important.

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Answer:

I try to do atleast all of them better grade so there if you don't do atleast 6 or above you ain't going to get no good grade but I would try to do all of them

Answer:

\(14\)

Step-by-step explanation:

The amount of integers between \(a\) and \(b\) is \(|a-b|+1\).

We can plug \(6\) and \(19\) into this formula to get the amount of questions: \(|6-19|+1=|-13|+1=13+1=14\).

So we need to do \(\boxed{14}\) questions and we're done.

The value of r when 3/r = 12/22 is 5.5 or 11/2.

According to the question,

We have the following information:

3/r = 12/22

Now, we can easily find the value of r using the cross multiplication method:

12r = 22*3

Now, 12 is in the multiplication on the left hand side. So, it will be in the division on the right hand side:

r = 66/12

Now, we will convert this fraction into the simplest form by dividing both the denominator and numerator by 6:

r = 11/2

r = 5.5

Hence, the value of r is 11/2 or 5.5.

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Answer:

f(x) = 4x + 10

Step-by-step explanation:

The given information is in the form f(x) = y.

f(0) = 10 means if x is 0, y is 10. This is the point (0,10)

Likewise, f(6) = 34

means when x is 6, y is 34. That is the point (6,34).

Slope is y-y / x-x

34-10 / 6-0

is 24/6.

The slope is 4.

The y-intercept is where x is 0, that is 10.

y=mx+b is slope-intercept form. Fill in the slope, 4 for m and the y-intercept, 10, for b.

y = 4x + 10

but they also asked to call it f, so for function notation, use f(x) instead of y.

f(x) = 4x + 10

When the radius is 2 feet, the rate of change of the radius is approximately 0.089 ft/min (rounded to three decimal places).

To find the rate of change of the radius when the radius is 2 feet, and air is being pumped into a spherical balloon at a rate of 4.5 cubic feet per minute, we can use the following steps:
Determine the volume formula for a sphere: V = (4/3)πr³.

Differentiate the volume formula with respect to time (t) to find dV/dt: dV/dt = d((4/3)πr³)/dt.
Apply the chain rule: dV/dt = (4/3)π(3r²)(dr/dt).
Simplify the equation: dV/dt = 4πr²(dr/dt).
Solve for the rate of change of the radius (dr/dt): dr/dt = dV/dt / (4πr²).
Plug in the given values: dV/dt = 4.5 cubic feet per minute and r = 2 feet.
Calculate the rate of change of the radius (dr/dt): dr/dt = 4.5 / (4π(2²)).
Simplify and compute the answer: dr/dt = 4.5 / (16π).
When the radius is 2 feet, the rate of change of the radius is approximately 0.089 ft/min (rounded to three decimal places).

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