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Answer:

sorry I don't know about this

Step-by-step explanation:

sorry I don't know about this

The cost of printing x business cards can be represented by the linear function C(x) = 0.05x + 20.  The cost of printing 950 business cards is $67.50.

The cost of printing business cards is a linear function, C(x) = mx + b, where C(x) is the cost of printing x business cards, m is the rate at which the cost increases as the number of cards increases, and b is the constant term or the cost of printing zero business cards. In this case, m = 0.05 and b = 20.

The equation C(x) = 0.05x + 20 represents the cost of printing x business cards, where x is the number of cards printed. The term 0.05x represents the cost of printing x cards at a rate of $0.05 per card, and the term 20 represents a fixed cost of $20, regardless of the number of cards printed.

To find the cost of printing 950 business cards, we simply substitute x = 950 into the equation:

C(950) = 0.05 * 950 + 20

C(950) = 47.5 + 20

C(950) = 67.5

Therefore, the cost of printing 950 business cards is $67.50.

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To prove that the sequence of nonempty closed subsets z1 ⊇ z2 ⊇ z3 ⊇ ... in a compact space x is compact, we need to show that any open cover of this sequence has a finite subcover. Here is the step-by-step explanation of the proof:

1. Let {Uα} be an open cover of the sequence z1 ⊇ z2 ⊇ z3 ⊇ ... in the compact space x.
2. Since z1 is a closed subset of x, its complement, x - z1, is open.
3. Since {Uα} is an open cover of the sequence, there must exist an α1 such that z1 ⊆ Uα1.
4. Now, consider the set z2. It is a closed subset of x, so its complement, x - z2, is open.
5. Since {Uα} is an open cover of the sequence, there must exist an α2 such that z2 ⊆ Uα2.
6. By continuing this process, we can find α3, α4, and so on, such that z3 ⊆ Uα3, z4 ⊆ Uα4, and so on.
7. Since the sequence z1 ⊇ z2 ⊇ z3 ⊇ ... is decreasing, we have z1 ⊇ z2 ⊇ z3 ⊇ ... ⊇ zN for any positive integer N.
8. Now, consider the subcover {Uα1, Uα2, ..., UαN} of the sequence z1 ⊇ z2 ⊇ z3 ⊇ ... ⊇ zN.
9. Since {Uα} is an open cover of the sequence, each zN is covered by at least one Uα.
10. Therefore, the subcover {Uα1, Uα2, ..., UαN} is a finite subcover of the sequence z1 ⊇ z2 ⊇ z3 ⊇ ... ⊇ zN.
11. Thus, we have shown that any open cover of the sequence z1 ⊇ z2 ⊇ z3 ⊇ ... has a finite subcover.
12. Therefore, the sequence of nonempty closed subsets z1 ⊇ z2 ⊇ z3 ⊇ ... in the compact space x is compact.
In summary, the proof demonstrates that in a compact space x, any sequence of nonempty closed subsets z1 ⊇ z2 ⊇ z3 ⊇ ... is also compact.

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Answer:

I believe the slope is m = 0.

(Let me know if you need the work)

Hello!

To find the slope, we use the following formula:

m=\(\frac{y2-y1}{x2-x1} \\\frac{4-4}{7-5}\)

m=\(\frac{0}{2} \\0\)

Keep in mind that if the y-coordinates are the same, then the slope is 0.

That's because if the y-coordinates are the same, then the line is horizontal and the rise  (how many units we rise up) is 0 units.

Therefore, the slope is: 0.

Hope this helps you!

~Just a felicitous girlie

#HaveASplendidDay

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maybe this will help

https://socratic.org/questions/what-is-the-equation-of-the-line-that-passes-through-2-2-and-5-4#475768

The term that suggests that the threat of loss has a greater impact on a decision than the possibility of an equivalent gain is prospect theory.

Prospect theory is a theory that describes how individuals make decisions under uncertainty. The theory suggests that people think about gains and losses differently and that the value they assign to a particular change in their situation depends on their current situation. The theory is based on the observation that people often violate the principle of expected utility. They make decisions that do not maximize their expected utility. The theory suggests that people evaluate outcomes based on changes from a reference point, rather than in absolute terms. This means that people are more sensitive to changes in their situation than to the situation itself.

For example, a loss of $100 is more painful than the pleasure of gaining $100, and the pleasure of gaining $100 is less than the pain of losing $100.

In summary, Prospect theory suggests that the threat of a loss has a greater impact on a decision than the possibility of an equivalent gain.

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Answer:

A) 5.84

B) 3 significant figure

C)5.8

D)0.0056

2.A) 31 , 35

Answer:

200 x 3 - 12=588

Answer:

100

Step-by-step explanation:

Just add

Answer:

16 (D)

Step-by-step explanation:

(-1/2) = -0.5

-0.5^-4 = 16

Answer:

Step-by-step explanation:

Answer:

The answer is 2. It is the commutative property of addition. This states that the order of numbers does not matter in addition or multiplication. As long as all the numbers are there, it will give the same answer :)

Step-by-step explanation:

Okay, it seems like you want to analyze a sample of 16 babies based on their weight.

The information you provided states that the Center for Disease Control and Prevention reports that 25% of baby boys aged 6-8 months in the United States weigh more than 20 pounds.

However, you haven't mentioned the specific question or analysis you want to perform on the sample. Could you please clarify what you would like to know or do with the given information?

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Step-by-step explanation:

To solve the problem, let's first calculate the number of cows each daughter received.

Given:

Total number of cows = 600

Ratio of cows distributed: 3:5:4 (for the three daughters)

I. How much did each daughter get?

To find out how much each daughter received, we need to calculate their shares based on the given ratio.

Let's denote the share of the first daughter as 3x, the share of the second daughter as 5x, and the share of the third daughter as 4x.

The sum of the shares should equal the total number of cows:

3x + 5x + 4x = 600

12x = 600

x = 600 / 12

x = 50

Now we can find the individual shares for each daughter:

First daughter: 3x = 3 * 50 = 150 cows

Second daughter: 5x = 5 * 50 = 250 cows

Third daughter: 4x = 4 * 50 = 200 cows

So, each daughter received the following number of cows:

- First daughter: 150 cows

- Second daughter: 250 cows

- Third daughter: 200 cows

II. How many cows did the first two daughters get all together?

To find the total number of cows received by the first two daughters, we add up their individual shares:

Total = Share of first daughter + Share of second daughter

Total = 150 cows + 250 cows

Total = 400 cows

Therefore, the first two daughters received a total of 400 cows together.

I hope this helps! Let me know if you have any further questions.

The only binomial factor of f(x)=x^4-33x^2-28x+60 is (x-3).

To find which binomial is a factor of f(x)=x^4-33x^2-28x+60, we can use the factor theorem which states that if (x-a) is a factor of a polynomial f(x), then f(a)=0.

Therefore, we can try to find a value of x that makes f(x) equal to 0 and use that to determine the binomial factor.

Using synthetic division or long division, we can find that x=3 is a zero of the polynomial f(x), which means that (x-3) is a factor.

To find the other factor, we can divide the polynomial f(x) by (x-3) using long division or synthetic division. Doing this, we get:

x^3 + 3x^2 - 24x - 20

Now, we can use the same process to find if there are any more binomial factors. However, in this case, we cannot factor the polynomial x^3 + 3x^2 - 24x - 20 using binomials with integer coefficients.

Therefore, the only binomial factor of f(x)=x^4-33x^2-28x+60 is (x-3).

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(a) tangent line to the graph of f(x) = x^3 at the point (4,2).

(b) equation of the tangent line to the graph of f(x) = x^2 - x at the point (4,12).

(a) To find the equation of the tangent line to the graph of f(x) = x^3 at the point (4,2), we need to find the slope of the tangent line at that point. We can do this by taking the derivative of f(x) with respect to x and evaluating it at x = 4. The derivative of f(x) = x^3 is f'(x) = 3x^2. Evaluating f'(x) at x = 4 gives us the slope of the tangent line. Once we have the slope, we can use the point-slope form of a linear equation to write the equation of the tangent line.

(b) Similarly, to find the equation of the tangent line to the graph of f(x) = x^2 - x at the point (4,12), we differentiate f(x) to find the derivative f'(x). The derivative of f(x) = x^2 - x is f'(x) = 2x - 1. Evaluating f'(x) at x = 4 gives us the slope of the tangent line. Using the point-slope form, we can write the equation of the tangent line.

In both cases, the equations of the tangent lines will be in the form y = mx + b, where m is the slope and b is the y-intercept.

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Answer:

x = ± 10

Step-by-step explanation:

to solve the equation let y = 0 , that is

100 - x² = 0 ( add x² to both sides )

100 = x² ( take square root of both sides )

± \(\sqrt{100}\) = x , that is

x = ± 10

The present value of the cash flows is $61,502.96.

The formula for the present value of an annuity is:

PV = C * [(1 - (1 + r)⁻ⁿ) / r]

Where PV is the present value, C is the cash flow per period, r is the discount rate, and n is the number of periods.

In this case, the cash flow is $15,000 per year for 5 years, with the first payment occurring at the end of year 3. Since the first payment is at the end of year 3, we discount it for 2 years.

Using the formula, we have:

PV = $15,000 * [(1 - (1 + 0.07)⁻⁵) / 0.07]

Calculating this expression will give us the present value of the cash flows. The result is approximately $61,502.96.

Therefore, the present value of the $15,000 payments each year for 5 years, with the first payment at the end of year 3 and discounted at a rate of 7%, is $61,502.96.

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Answer:

121.4 is the answer ❣️

Answer:

The answer I got is 121.4

The slope of the line that passes through the points (0, - 4) and (30, -9) is -1/6.

In Mathematics, the slope of any straight line can be determined by using this mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = rise/run

Based on the information provided, we can logically deduce the following data points on the line:

Substituting the given data points into the slope formula, we have the following;

Slope, m = (-9 + 4)/(30 - 0)

Slope, m = -5/30

Slope, m = -1/6.

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All the lines given represent functions except the vertical line given which is attached below.

In a function, every x-values has only one possible y-value. Two x-values can have the same y-value but one x-value cannot have two different y-values. That is why a vertical line graph cannot in anyway represent a function.

An horizontal line graph is a constant function graph. Thus, all the lines represent functions except the vertical line that is attached below.

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Answer:

the diagonal line is a function and the line going from left to right is a function :)

Step-by-step explanation:

Answer:

23 ^ ( a+b)

Step-by-step explanation:

23^a *23^b

Since the bases are the same, we can add the exponents

23 ^ ( a+b)

Answer:

23^(a+b)

Step-by-step explanation:

A^x*A^y = A^(x+y)

you can think of it like this

A^x = A*A*A*.......*A x times

A^y = A*A*A*....*A y times

therefore A^x * A^y = A*A*A*...*A (x+y) times

=A^(x+y),

so in our case A = 23, and x and y were a and b, so 23^a * 23^b = 23^(a+b)

Answer:

2.8

Step-by-step explanation:

0.5a - 1.9b

~Substitute

0.5(17) - 1.9(3)

~Simplify

8.5 - 5.7

~Subtract

2.8

Best of Luck!

The ratio of dividends to the average number of common shares outstanding is known as the dividend yield. It is a measure of the return on an investment in the form of dividends received relative to the number of shares held.

To calculate the dividend yield, you need to divide the annual dividends per share by the average number of common shares outstanding during a specific period. The annual dividends per share can be obtained by dividing the total dividends paid by the number of outstanding shares. The average number of common shares outstanding can be calculated by adding the beginning and ending shares outstanding and dividing by 2.

For example, let's say a company paid total dividends of $10,000 and had 1,000 common shares outstanding at the beginning of the year and 1,500 shares at the end. The average number of common shares outstanding would be (1,000 + 1,500) / 2 = 1,250. If the annual dividends per share is $2, the dividend yield would be $2 / 1,250 = 0.0016 or 0.16%.

In summary, the ratio of dividends to the average number of common shares outstanding is the dividend yield, which measures the return on an investment in terms of dividends received per share held.

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\(\huge\red{\mid{\underline{\overline{\textbf{QUESTION}}}\mid}}\)

Solve for \(x\) please :-

\(3(9+x)-31=20\)

_____________________

To use the distributive property, we need to understand the formula to use it. This formula will ensure that you can easily solve any equation.

The distributive property is A(B + C) = AB + AC, where AB is the product of the values A and B and AC is the product of the values A and C.

First, let's notice that we are distributing a 2 into the parentheses, so we will mark this as our A value.

Then, our two values inside the parentheses are B and C respectfully.

_____________________

Apply Distributive property

\(3(9)+3(x)-31=20\\27+3x-31=20\\3x-31=-7\\3x=24\\x=8\)

The probability that a student enrolled in algebra is also enrolled in health is 0.8.

Let's denote the event of a student being enrolled in algebra as A and the event of a student being enrolled in health as H. We are given that 25% of the students are enrolled in algebra (P(A) = 0.25) and 20% of the students are enrolled in both algebra and health (P(A ∩ H) = 0.20).

We want to find P(H|A), the probability that a student is enrolled in health given that the student is enrolled in algebra.

Using the conditional probability formula:

P(H|A) = P(A ∩ H) / P(A)

We substitute the given values:

P(H|A) = 0.20 / 0.25

Simplifying this expression:

P(H|A) = 0.80

Therefore, the probability that a student enrolled in algebra is also enrolled in health is 0.80, or 80%.

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The formula to find the sum of the first n integers is given by the formula n(n+1)/2.

In discrete mathematics, the formula to find the sum of the first n integers is given by the formula n(n+1)/2. To verify a computer answer using this formula, you need to substitute the value of n into the formula and check if the sum matches the computer's answer.

Let's say the computer provides an answer for the sum of the first n integers. You can calculate the sum using the formula n(n+1)/2. If the result matches the computer's answer, then the computer's answer is verified.

To do this, you can plug in the value of n into the formula and calculate the sum. For example, if the computer's answer is 150 and n is 15, you would substitute n=15 into the formula: 15(15+1)/2 = 15(16)/2 = 240/2 = 120. If the calculated sum matches the computer's answer of 150, then the computer's answer is verified.

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Answer:

x=18

Step-by-step explanation:

5/6x=15

5x=90 (both side divide 5 )

x=18

Answer:

55 degrees

Step-by-step explanation:

I've found a similar question to this, and the explanation is there.

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m<ABC = 360-250= 110 degrees

"As we know that the measure of angle ABC is equal to half of mADC."

110/2 = 55 degrees.

This should be the answer.

Answer:

Option (4)

Step-by-step explanation:

Option (1)

f(x) = 4x⁴- 7x²+ x + 25

Possible rational roots will be,

\(\frac{\pm \text{Factors of constant term '25'}}{{\pm \text{Factors of leading coefficient '4'}}}\)

For the given function,

Possible rational roots = \(\frac{\pm 1, 5, 25}{\pm 1,2}\)

                                      = \(\pm 1, \pm 5, \pm 25, \pm \frac{1}{2},\pm\frac{5}{2},\pm\frac{25}{2}\)

Therefore, \(-\frac{2}{5}\) is not the possible root.

Option (2)

f(x) = 9x⁴- 7x²+ x + 10

Possible rational roots = \(\frac{\pm 1,\pm 2,\pm 5,\pm10}{\pm 1,\pm3,\pm9}\)

Therefore, \(-\frac{2}{5}\) is not the possible root.

Option (3)

f(x) = 10x⁴- 7x²+ x + 9

Possible rational roots = \(\frac{\pm1, \pm3, \pm9}{\pm 1,\pm2,\pm5,\pm10}\)

Therefore, \(-\frac{2}{5}\) is not the possible root.

Option (4)

f(x) = 25x⁴- 7x²+ x + 4

Possible rational roots = \(\frac{\pm 1,\pm2,\pm5}{\pm1,\pm5,\pm 25}\)

                                      = \(\pm1,\pm2,\pm5,\pm\frac{1}{5},\pm\frac{1}{25},\pm\frac{2}{5},\pm\frac{2}{25}\)

Therefore, \(-\frac{2}{5}\) is the possible rational root.

Option (4) will be the answer.

The solution for given linear equation are x=-99 and x=45 i.e. C.

What is a linear equation ?

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form

Ax + B = 0

e.g. x-10=0. Here, x is a variable, A is a coefficient and B is constant.

The standard form of a linear equation in two variables is of the form

Ax + By = C

e.g. 2x-4y=10. Here, x and y are variables, A and B are coefficients and C is a constant.

Now,

Given linear equation is |1/3×+9|-3=21

so, -1/3x-12=21  --->1

and 1/3x+6=21 --> 2

From 1

1/3x=-33

x=-99

From 2

1/3x=15

x=45

Hence,

          The solution for given linear equation are x=-99 and x=45.

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