Nick spends 18% of his monthly budget on his rent payment, which is $700.

Which proportion can be used to calculate Nick’s total monthly budget?

Answer:

Step-by-step explanation:

nonproportional. doesn't pass through the origin, so it's not proportional

Answer:

y=15x

Step-by-step explanation:

\(a(1) = 240 \\ a(2) = a(1) + d = 240 + 24 = 264 \\ a(3) = a(2) + d = 264 + 24 = 288 \\ a(4) = a(3) + d = 288 + 24 = 312 \\ a(5) = a(4) + d = 312 + 24 = 336 \\ a(6) = a(5) + d = 336 + 24 = 360\)

Answer:

x = 2

Step-by-step explanation:

To solve, you have to get the variable to only be on one side by subtracting from one side.

Answer:25

Step-by-step explanation:

just think its so easy

Answer:

25

Step-by-step explanation:

Answer:

25 and 37

Step-by-step explanation:

x+y=62

y-x=12

 +x. +x

y=12+x

x+(12+x)=62

2x+12=62

   -12. -12

2x=50

/2. /2

x=25

25 is one of the numbers

y-25=12

+25 +25

y=37

hopes this helps

Answer: there is no solution

Step-by-step explanation:

Answer:

infinite solutions

Step-by-step explanation:

3(12x2+x+1)+12(12x2+x+1)=15(12x2+x+1)

Combine like terms

3(12x2+x+1)+12(12x2+x+1)=15(12x2+x+1)

15(12x2+x+1) = 15(12x2+x+1)

Divide by 15

(12x2+x+1) = (12x2+x+1)

Since they are the same

x can be any real value

Answer:

All real values of x

Step-by-step explanation:

3(12x²+x+1)+12(12x²+x+1)=15(12x²+x+1)

(12x² + x + 1)(3+12) = 15(12x²+x+1)

15(12x²+x+1) = 15(12x²+x+1)

Since both sides are identical, all real values of x will satisfy the equation

Answer:

20.8

Step-by-step explanation:

Answer:

angle A is congruent to angle R

Step-by-step explanation:

when it gets rotated counterclockwise around point X that is how the triangles end up matching up

Answer:

The answer is 1. ∠A ≅ ∠R

Step-by-step explaation:

Looking at the triangles when they're in their alphabetical order, ΔABC and ΔRST, since they are congruent, that means that if you were to pick an angle in one triangle, it would be equal to the angle in the same place of the other triangle. So if we were to take the first letter from ΔABC it'd be A, and the first letter in ΔRST is R, so that means angles ∠A and ∠R should be congruent.

Answer:

$150

Step-by-step explanation:

Answer:

$150

Step-by-step explanation:

Percent Proportions Formula = a/b = n/100

45/b = 30/100

Then do cross multiplication

4500/30

which would equal $150.

Answer:

Step-by-step explanation:

You want to know how to determine the y-intercepts of a rational function, and their possible number.

A rational function f(x) is the ratio of two polynomial functions p(x) and q(x):

  f(x) = p(x)/q(x)

As such, both numerator and denominator have single function values for any value of the independent variable. The y-intercept of f(x) is ...

  f(0) = p(0)/q(0)

The values of p(0) and q(0) are simply the constant terms in those respective functions.

The simple way to find the y-intercept is to look at the ratio of the constant terms in the polynomial functions making up the rational function. If that is defined, there is one y-intercept. If it is undefined (q(0)=0), then there are no y-intercepts.

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Answer:

Since p(x) is exactly divisible by x – 3, then p(3) = 0.

Plugging in x = 3 into p(x), we get

4(3)2 – 6(3) – m = 0

36 – 18 – m = 0

m = 18

Therefore, the value of m is 18.

Step-by-step explanation:

Answer:

C. f(x) = x + 4

Step-by-step explanation:

The resulting p-value would decrease in both scenarios if we sampled twice as many students but found the same sample proportion as before.

The p-value is the probability of observing a sample proportion as extreme or more extreme than the one calculated from the sample data, assuming the null hypothesis is true. When we increase the sample size, the standard error of the sample proportion decreases, which means that the sample proportion becomes more representative of the population proportion.

In other words, the larger the sample size, the more accurate the estimate of the population parameter (in this case, the proportion of students who support the change). As a result, the difference between the sample proportion and the hypothesized population proportion (under the null hypothesis) is likely to be smaller, leading to a smaller p-value.

To compute the p-value, we use the test statistic, which is a measure of how many standard errors the sample proportion is from the hypothesized population proportion under the null hypothesis. When we increase the sample size, the test statistic becomes larger, which means that the p-value becomes smaller. Therefore, the p-value would decrease if we sample twice as many students but find the same sample proportion as in exercise 6.

In summary, increasing the sample size while keeping the sample proportion constant would result in a smaller p-value, indicating stronger evidence against the null hypothesis.

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Given formula: \(\sf A_n= -4(2)^{n-1}\)

simplify substitute the number of term by replacing n

Find first five terms:

\(\sf A_1= -4(2)^{1-1}\)  ⇒  \(\sf A_1= -4\)

\(\sf A_2= -4(2)^{2-1}\)  ⇒  \(\sf A_2= -8\)

\(\sf A_3= -4(2)^{3-1}\)  ⇒  \(\sf A_3= -16\)

\(\sf A_4= -4(2)^{4-1}\)⇒  \(\sf A_4= -32\)

\(\sf A_5= -4(2)^{5-1}\)⇒  \(\sf A_5= -64\)

Tenth term:

\(\sf A_{10}= -4(2)^{10-1}\)   ⇒  \(\sf A_{10}= -2048\)

Answer:

\(\sf a_1=-4\\a_2=-12\\a_3=-20\\a_4=-28\\a_5=-36\\a_{10}=-76\)

Step-by-step explanation:

\(\textsf{Given sequence}: \sf a_n=-4(2n-1)\)

This formula is for the nth term of the sequence.

Therefore, to find any term of the sequence, substitute the position of the term you wish to find as n.

For example, to find the 10th term, substitute n = 10 into the formula:

\(\begin{aligned}\sf a_{10} & =-4[2(10)-1)]\\ & = -4(20-1)\\ & = -4(19)\\ & = -76\end{aligned}\)

To find the first 5 terms, substitute n = 1 through n = 5 into the formula:

\(\sf a_1=-4[2(1)-1]=-4(2-1)=-4(1)=-4\)

\(\sf a_2=-4[2(2)-1]=-4(4-1)=-4(3)=-12\)

\(\sf a_3=-4[2(3)-1]=-4(6-1)=-4(5)=-20\)

\(\sf a_4=-4[2(4)-1]=-4(8-1)=-4(7)=-28\)

\(\sf a_5=-4[2(5)-1]=-4(10-1)=-4(9)=-36\)

If \(Z=1\), the output \(Z\) will be equal to 1 regardless of the values of \(A\) and \(B\)., If \(Z=0\), the output \(Z\) will be equal to 0 regardless of the values of \(A\) and \(B\).

To determine the output \(Z\) of the logic circuit given the values \(A=1\) and \(B=1\), we need to evaluate the given logic expressions.

1. \(Z=1\): In this case, the output \(Z\) is fixed at 1, regardless of the input values of \(A\) and \(B\). Therefore, \(Z\) will be equal to 1.

2. \(Z=0\): In this case, the output \(Z\) is fixed at 0, regardless of the input values of \(A\) and \(B\). Therefore, \(Z\) will be equal to 0.

3. \(Z=A'\): Here, \(A'\) represents the complement or negation of \(A\). Since \(A=1\), \(A'\) will be 0. Therefore, \(Z\) will be equal to 0.

4. \(Z=B'\): Similar to the previous case, \(B'\) represents the complement or negation of \(B\). Since \(B=1\), \(B'\) will be 0. Therefore, \(Z\) will be equal to 0.

To summarize:

- If \(Z=A'\), the output \(Z\) will be equal to 0 because \(A'\) is the complement of \(A\) and \(A=1\).

- If \(Z=B'\), the output \(Z\) will be equal to 0 because \(B'\) is the complement of \(B\) and \(B=1\).

The specific logic circuit and its behavior may vary depending on the actual implementation or context. However, based on the given expressions, we can determine the outputs for the given input values of \(A=1\) and \(B=1\) as described above.

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Let 'x' and 'y' denote the part of stock owned by Rob and Tailia, respectively.

Give that Rob owns 3/5 of the stock,

Also it is given that Tailia owns half as much stock as Rob,

So, Tailia owns 3/10 of the stock.

Now, it is known that the total stock must be unity,

Total stock must be the sum of stock holdings of Rob, Tailia, and other.

Then, the remaining part of stock which is neither owned by Rob, nor by Tailia, is calculated as,

Thus, 1/10 of the stock is neither

The standard deviation of the thickness of layer 1 = 15.81 x 10⁻⁵ m

                                                                       layer 2 = 20 x 10⁻⁵m

                                                                       layer 3 = 17.32 x 10⁻⁵ m

The variance of the thickness of the three layers is 25,40 and 30 in nanometers

Let v₁, v₂, v₃ be the variance of the three layers of thickness.

Then, the standard deviation of the thickness of these layers can be found using the formula

                             v = σ²

Let us re-write this equation in order to find the standard deviation,

                             σ = √v

where v is the variance and

          σ is the standard deviation

The standard deviation of layer 1 is

                          σ₁ = √v₁

                              = √(25 x 10⁻⁹)

                              = √(250 x 10⁻¹⁰)

                              = 15.81 x 10⁻⁵

The standard deviation of layer 2 is

                            σ₂ = √v₂

                                 = √(40 x 10⁻⁹)

                                 = √(400 x  10⁻¹⁰)

                                 = 20 x 10⁻⁵

The standard deviation of layer 3 is

                             σ₃ = √v₃

                                  = √(30 x  10⁻⁹)

                                  = √(300 x 10⁻¹⁰)

                                  = 17.32 x 10⁻⁵

Therefore, the standard deviation is 15.81 x 10⁻⁵m , 20 x 10⁻⁵ m, 17.32 x 10⁻⁵m

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The derivative of the trigonometric function f(t) = t⁸ sin(t) is f'(t) = 8t⁷sin(t) + t⁸ cos(t).

Why derivative of the trigonometric function f(t) t⁸ sin(t) is f'(t)?

The derivative of the trigonometric function f(t) = t⁸ sin(t).

To find f'(t), we need to use the product rule since f(t) is the product of two functions, t⁸ and sin(t). The product rule states that if you have a function h(t) = g(t) ˣ h(t), then h'(t) = g'(t) ˣ h(t) + g(t) ˣ h'(t).

Let's apply the product rule to f(t):
g(t) = t⁸
h(t) = sin(t)

First, find the derivatives of g(t) and h(t):
g'(t) = 8t⁷ (using the power rule)
h'(t) = cos(t) (derivative of sin(t))

Now, apply the product rule:
f'(t) = g'(t) * h(t) + g(t) * h'(t)
f'(t) = (8t⁷) ˣ (sin(t)) + (t⁸) ˣ (cos(t))

So, the derivative of the trigonometric function f(t) = t⁸ sin(t) is f'(t) = 8t⁷sin(t) + t⁸ cos(t).

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The original conditional statement is true: "If two angles are congruent, then they have the same degree measure." The converse is true: "If two angles have the same degree measure, then they are congruent." The inverse is true: "If two angles are not congruent, then they do not have the same degree measure." The contrapositive is true: "If two angles do not have the same degree measure, then they are not congruent."

The given conditional statement is: "If two angles are congruent, then they have the same degree measure."

The truth value of this conditional statement is true.

Reasoning:

The statement is a well-known mathematical fact. Congruent angles are defined as angles that have the same measure. Therefore, if two angles are congruent, it implies that they have the same degree measure. This statement holds true for all pairs of congruent angles.

Converse: "If two angles have the same degree measure, then they are congruent."

The converse of the given conditional statement is also true. If two angles have the same degree measure, it implies that they are congruent. This is a logical consequence of the definition of congruent angles.

Inverse: "If two angles are not congruent, then they do not have the same degree measure."

The inverse of the given conditional statement is also true. If two angles are not congruent, it implies that they do not have the same degree measure. This is the negation of the original statement.

Contrapositive: "If two angles do not have the same degree measure, then they are not congruent."

The contrapositive of the given conditional statement is true. If two angles do not have the same degree measure, it implies that they are not congruent. This is the negation of the converse statement.

In summary:

- The original conditional statement is true: "If two angles are congruent, then they have the same degree measure."

- The converse is true: "If two angles have the same degree measure, then they are congruent."

- The inverse is true: "If two angles are not congruent, then they do not have the same degree measure."

- The contrapositive is true: "If two angles do not have the same degree measure, then they are not congruent."

All related conditionals are true, and no counterexamples can be found for any of the statements.

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Answer:

Step-by-step explanation:

Global warming is the change in the climate of the earth causing it to heat up whereas the greenhouse effect is a naturally occurring phenomenon, constantly occurring due to the atmosphere and sunlight.

The Greenhouse effect is when the heat goes up into space, Greenhouse Gases, block the heat going into space, and it goes back to Earth. Global Warming is when the earth is overheated by Fossil fuels and Greenhouse gases causing the Greenhouse effect.

Global warming is the observation, and the atmospheric greenhouse effect is the explanation. The atmospheric greenhouse effect is a theory based on well-established physics that explains why the Earth has not been covered in ice for most of its history.

global warming and the greenhouse effect are not the same things. Global warming refers to a change in the Earth's climate that is causing it to heat up. The greenhouse effect, on the other hand, is a natural process that happens constantly, due to sunlight and the atmosphere.

Answer:

Step-by-step explanation:

The greenhouse effect occurs because the Earth's gasses trap the heat from the sun in our atmosphere. global warming is more than the greenhouse effect, many other things cause global warming INCLUDING the greenhouse effect. The greenhouse effect is trapping heat and global warming is when the global climate rises, partly due to the greenhouse effect.

The number of ways to select 9 players for the starting lineup from a team of 15 players  is 4862 ways.

The number of ways to select 9 players for the starting lineup from a team of 15 players can be calculated using the formula for combinations, which is given by:

C(n,k) = n! / (k! (n-k)!)

Where n is the total number of items, k is the number of items being selected, ! means factorial, and C(n,k) represents the number of combinations of k items from n.

Using this formula, the number of ways to select 9 players from a team of 15 players is:

C(15,9) = 15! / (9! (15-9)!) = 15! / (9! 6!) = 4,862

So, there are 4,862 ways to select 9 players for the starting lineup from a team of 15 players.

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Step-by-step explanation:

here is your answer.

if it helps don't forget to like and mark me

Answer: 4+4+1=9(e)

Step-by-step explanation: because in 4+4+1 .... the 4+1 at the end equals up to 5 so therefore the equation is basically 4+5=9 .

The percentages from the different samples will have a true population percentage mean.

A real population proportion shows the percentage of a population that exhibits a particular trait.

A population's proportions will have a real population proportion mean if numerous big random samples or repeats of the same size are taken.

Here is an illustration of how to cross multiply, or find a cross product. In this instance, you multiply 3 x 10 to get 30 and then 5 x 6 to get 30. The proportion is accurate because the two products are equal.

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Answer: B

Step-by-step explanation:

they have no correlation

Answer:

B is the correct answer. Hope this helps