12)
A hair salon charges a fixed rate of $25.00 for a haircut and then an additional $15 for any other services. Write a function to
model the cost of services there and then determine how many services you had if you were charged $115
A)
f(x) = 15x + 25; f(6) = 115
B)
f(x) = 25x + 15; f(6) = 165
f(x) = 15x + 25; f(0) = 125
D)
f(x) = 15x + 25; f(115) - 1750

Answer: 1

Step-by-step explanation:

Pythagorean Theorem: a^2+b^2=c^2
2^2+b^2=(sqrt5)^2
4+b^2=5

b^2=5-4
b^2=1
b=1

The given statement "the probability of an earth-impacting asteroid causing a person's death" is empirical probability, which is based on observations and data.

Empirical probability, also known as experimental probability, is based on observations or data. It involves collecting data through repeated trials of an experiment and calculating the probability of an event based on the frequency of its occurrence.

Subjective probability, also known as personal probability, is based on personal judgment or belief. It reflects an individual's degree of belief in the likelihood of an event occurring, based on their own knowledge and experience.

Now, let's classify the statement in the prompt. The statement is "the probability of an earth-impacting asteroid causing a person's death is." We can see that the statement does not specify which type of probability is being used.

In conclusion, probability is a crucial concept in mathematics and science, and there are different types of probability, including classical, empirical, and subjective probability.

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Answer:

0.81

Step-by-step explanation:

\(0.01 \times {3}^{4} = 0.01 \times 81 = 0.81\)

As per the mathematical operation both Jillian and Samuel are correct.

Given expression = 30+40+70,

The methodology by Jillian = added 30 and 40 and then 70

The methodology by Samuel = added 30 and 70 and then 40.

Determining the result of the given equation:

30 + 40 + 70

= 140

Reviewing the operations of both Jillian and Samuel

Jillian

He added 30 and 40 and then 70:

30 + 40 = 70

70 + 70 = 140

Samuel

He added 30 and 70 and then 40

30 + 70 = 100

100 + 40 = 140

The result of both mathematical operations is 140. Thus, it can be stated that both are correct.

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Sternberg would call this type of love "companionate love." Companionate love can provide a sense of security, comfort, and stability within a relationship.

Companionate love refers to a type of love characterized by deep affection, trust, and commitment between partners, even if the passionate or romantic aspects of the relationship have diminished over time. It is often seen in long-term relationships or marriages where the initial intense passion may have transformed into a more enduring and stable bond.

In the case of Herbie and Irene, their commitment to each other for almost 55 years, despite the fading of passionate feelings, reflects companionate love. They have remained close and committed, emphasizing companionship, friendship, and shared experiences. While the initial spark may have dimmed, they have maintained a deep emotional connection, mutual respect, and a sense of unity throughout their long journey together.

Companionate love can provide a sense of security, comfort, and stability within a relationship, emphasizing the importance of companionship and shared life experiences. It highlights the value of long-lasting commitment and emotional support, even if the intense passion of early stages may have diminished. Herbie and Irene's enduring love showcases the strength and resilience of their companionship and their ability to maintain a deep emotional bond over the course of their long-lasting marriage.

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Answer:

\(3.844 * 10 ^ 5\)

Step-by-step explanation:

Scientific notation is of the form \(N * 10^a\). Where N is a number \(1 \leq N < 10\).

So in this case we need to move the decimal place to the left, in order to create such a number.

By moving the decimal place to the left we get: 3.84400

We moved the decimal to the left 5 times, so our value of \(a = 5\) and \(N = 3.84400\)

Therefore scientific notation is: \(3.844 * 10 ^ 5\)

Step-by-step explanation:

The function g is defined by the rule g(x) = 2x + 5. To complete the function table, we need to substitute different values of x into the function and find the corresponding output values.

Table:

⬇️

x g(x)

1 2*1 + 5 = 7

2 2*2 + 5 = 9

3 2*3 + 5 = 11

4 2*4 + 5 = 13

5 2*5 + 5 = 15

And so on, for any value of x you can substitute it into the function g(x) = 2x + 5 and you will get the result.

Therefore, The p-value is the probability of obtaining a test statistic as extreme or more extreme than the observed value, assuming the null hypothesis is true. If the p-value is less than the significance level, reject the null hypothesis; otherwise, fail to reject it.

To find the p-value from the t statistic on TI-84, you will need to perform a hypothesis test. Here are the steps:1. Enter your data into the calculator and choose the appropriate test.2. Calculate the t statistic by dividing the sample mean by the standard error.3. Determine the degrees of freedom. This is n-1 for a one-sample t-test or n1+n2-2 for a two-sample t-test. 4. Use the t-distribution table to find the critical value for your test.5. Calculate the p-value using the t-distribution function on the calculator.6. Compare the p-value to the significance level (usually 0.05) to determine whether to reject or fail to reject the null hypothesis.7.

Therefore, The p-value is the probability of obtaining a test statistic as extreme or more extreme than the observed value, assuming the null hypothesis is true. If the p-value is less than the significance level, reject the null hypothesis; otherwise, fail to reject it.

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The combined present worth of the costs associated with the proposed bridge design, including construction and annual operating costs, is $10,583,333.

To calculate the combined present worth of costs, we need to consider the construction cost and the annual operating cost over the infinite life of the bridge. We will use the concept of present worth, which is the equivalent value of future costs in today's dollars.

The present worth of the construction cost is simply the initial cost itself, which is $9,000,000. This cost is already in present value terms.

For the annual operating cost, we need to calculate the present worth of perpetuity. A perpetuity is a series of equal payments that continue indefinitely. In this case, the annual operating cost of $700,000 represents an equal payment.

To calculate the present worth of the perpetuity, we can use the formula PW = A / MARR,

where PW is the present worth, A is the annual payment, and MARR is the minimum attractive rate of return (also known as the discount rate). Here, the MARR is given as 12%.

Plugging in the values, we have PW = $700,000 / 0.12 = $5,833,333.

Adding the present worth of the construction cost and the present worth of the perpetuity, we get $9,000,000 + $5,833,333 = $14,833,333.

However, since we are looking for the combined present worth, we need to subtract the salvage value, which is zero in this case. Therefore, the combined present worth of the costs associated with the proposed bridge design is $14,833,333 - $4,250,000 = $10,583,333, rounded to the nearest dollar.

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Answer:

10*-3= -30

Step-by-step explanation:

10*-3= 5*-8

Answer:

X=9

Step-by-step explanation:

The number of intersections of the graphs of the given equations is 0.

To determine the number of intersections of the graphs of the equations:

1. One-halfx + 5y = 6

2. 3x - 30y = 36

We can convert the equations to slope-intercept form (y = mx + b) by isolating y:

1. \(\frac12\\\)x + 5y = 6

  5y = -\(\frac12\\\)x + 6

  y = (-1/10)x + 6/5

2. 3x - 30y = 36

  -30y = -3x + 36

  y = (1/10)x - 36/30

  y = (1/10)x - 6/5

Now, we can observe that both equations have the same slope, which is 1/10, but they have different y-intercepts (6/5 and -6/5).

Since the slopes are the same but the y-intercepts are different, the two lines are parallel.

Parallel lines do not intersect,

so the graphs of these equations have no intersection points.

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Answer:

A or none

Step-by-step explanation:

edge

Answer:

15

Step-by-step explanation:

the range is the largest number take away the smallest number

56-41=15

Answer:

\( \csc(θ) = \frac{1}{ \sin(θ) } \)

mass (m) = 5.4g

Volume (V) = 2 cm^3

To find the density (p), we have to apply the next formula:

p= m/v

Replacing:

p´= 5.4/2 = 2.7 g/cm^3

Answer:

√-48=4i√3

Step-by-step explanation:

because negative number never has a real root so 1st and 2nd option r out . i^2= -1 so root and Square cuts out eachother so i should be out of the root hence option 4th is also cut out. so 3 rd is correct.

When we subtract 3 from 22, the simplified answer is 19. The subtraction operation involves removing or deducting one value from another, resulting in the difference between the two quantities.

To subtract 3 from 22, we can perform the subtraction operation as follows:

22

3

19

We align the numbers vertically and subtract each corresponding place value from right to left. In this case, subtracting 3 from 2 requires borrowing or regrouping. However, since 2 is greater than 3, we can directly subtract 3 from 2 and write the difference, which is 1, in the one's place.

Therefore, the simplified answer is 19.

The subtraction process involves taking away or removing a certain quantity from another. In this case, we subtracted 3 from 22, resulting in a difference of 19. The process of simplifying the answer is simply expressing the result in its most concise and reduced form.

By subtracting 3 from 22, we removed 3 units from the original value of 22, leaving us with 19. This can be visualized as taking away three objects from a group of 22 objects, resulting in a remaining count of 19.

In summary, when we subtract 3 from 22, the simplified answer is 19. The subtraction operation involves removing or deducting one value from another, resulting in the difference between the two quantities.

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Answer:

0 = 2

2 = 2.5

4= 3

6 = 3.5

8 = 4

10 = 4.5

The cross marked at the points (-2.5 , -5) and  (0 , -1.5) is shown below .

The x and y coordinate helps in identifying a point in the coordinate axis and it is written as a ordered pair (x,y) .

where x represents the position of point with reference to the x-axis

and y represents the position of point with reference to the y axis .

In the question ,

points are given , we have to plot them and mark a cross .

Part(a)

point is (-2.5 , -5)

So , the x coordinate is -2.5

means the point is 2.5 units left from the origin  ,

and y coordinate is -5 .

means the point is 2.5 units down from the origin  .

the cross mark on the point is shown below .

Part(b)

point is (0 , -1.5)

So , the x coordinate is -2.5

means the point is 0 units units from the origin ,

and y coordinate is -1.5 ,

means the point is 1.5 units down from the origin  .

the cross mark on the point is shown below .

Therefore , The cross marked at the points (-2.5 , -5) and  (0 , -1.5) is shown below .

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a) The rate of change of temperature at the point is -1600/√14 °C/m.

b) The direction does the temperature increase fastest at P is by the gradient of T.

c) The maximum rate of increase of temperature at point P is 4200e⁻¹⁴ °C/m.

(a) The rate of change of temperature at point P in the direction towards the point (5, -3, 4) can be found using the directional derivative. The directional derivative is a measure of the rate of change of a function in the direction of a given vector.

To find the directional derivative of T at point P in the direction of the vector v = <5-2, -3-(-1), 4-3> = <3, -2, 1>, we need to take the dot product of the gradient of T at point P with the unit vector in the direction of v:

Evaluating the gradient at P, we get:

∇T(P) = <-1200e⁻¹⁴ , 3600e⁻¹⁴ , -12600e⁻¹⁴ >

The unit vector in the direction of v is:

v/|v| = <3/√14, -2/√14, 1/√14>

So, the directional derivative of T at point P in the direction of v is:

D_v T(P) = ∇T(P) · (v/|v|) = <-1200e⁻¹⁴ , 3600e⁻¹⁴ , -12600e⁻¹⁴ > · <3/√14, -2/√14, 1/√14>

= -1600/√14 °C/m

Therefore, the rate of change of temperature at point P in the direction towards the point (5, -3, 4) is -1600/√14 °C/m.

(b) The temperature increases fastest at point P in the direction of the gradient of T at P. The gradient of T at P gives the direction of steepest ascent of the temperature function at point P.

So, the direction in which the temperature increases fastest at P is given by the gradient of T at P, which is:

∇T(P) = <-1200e⁻¹⁴ , 3600e⁻¹⁴ , -12600e⁻¹⁴

(c) The maximum rate of increase of temperature at point P is given by the magnitude of the gradient of T at P.

So, the maximum rate of increase of temperature at point P is:

|∇T(P)| = √((-1200e⁻¹⁴ )² + (3600e⁻¹⁴ )² + (-12600e⁻¹⁴ )²)

= 4200e^(-14) °C/m

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Answer:

a. < less than

b. > greater than

c. > greater than

d. > greater than

e. < less than

Plzzzzz give me Brainliest!  

Answer:

506.91

Step-by-step explanation:

Either that or it is D

One over seventeen raised to the second power is (1/17)².One over seventeen raised to the power of negative two is (1/17)⁻².

In mathematics, a base number raised to an exponent is referred to as a power. The base number is the factor that is multiplied by itself, and the exponent indicates how many times the base number has been multiplied. Let's learn more about power and exponent. A power is a phrase that depicts the same component being multiplied repeatedly. For instance, in the number 52, the base is the number 5, and the exponent is the number 2. The base is multiplied by the exponent, which is 2, to get the total number of factors.

Given,

one over seventeen raised to the second power

(1/17)²

one over seventeen raised to the power of negative two

(1/17)⁻²

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Answer:

$26.60

Step-by-step explanation:

a. The probability of selecting a family that prepared their own taxes is  0.478, or 47.8%.

b. The probability of selecting two families, both of which prepared their own taxes, is0.221, or 22.1%.

c. The probability of selecting three families, all of which prepared their own taxes, is approximately 0.098, or 9.8%.

d.The probability of selecting two families, neither of which had their taxes prepared by H&R Block, is  0.520, or 52.0%.

a. The probability of selecting a family that prepared their own taxes can be calculated by dividing the number of families that prepared their own taxes (11) by the total number of families (23):

P(family prepared own taxes) = 11/23 = 0.478

There are 11 families that prepared their own taxes out of a total of 23 families.

The probability of selecting a family that prepared their own taxes is approximately 0.478, or 47.8%.

b. The probability of selecting two families, both of which prepared their own taxes, can be calculated by multiplying the probability of selecting the first family that prepared their own taxes (11/23) by the probability of selecting the second family from the remaining families that also prepared their own taxes:

P(both families prepared own taxes) = (11/23) * (10/22) = 0.221

The probability of selecting the first family that prepared their own taxes is 11/23. After selecting the first family, there are 10 families left that prepared their own taxes out of the remaining 22 families.

The probability of selecting two families, both of which prepared their own taxes, is approximately 0.221, or 22.1%.

c. The probability of selecting three families, all of which prepared their own taxes, can be calculated by multiplying the probability of selecting the first family that prepared their own taxes (11/23) by the probability of selecting the second family from the remaining families that prepared their own taxes (10/22), and then multiplying by the probability of selecting the third family from the remaining families that prepared their own taxes (9/21):

P(all families prepared own taxes) = (11/23) * (10/22) * (9/21) ≈ 0.098

The probability of selecting the first family that prepared their own taxes is 11/23. After selecting the first family, there are 10 families left that prepared their own taxes out of the remaining 22 families. Similarly, after selecting the second family, there are 9 families left that prepared their own taxes out of the remaining 21 families.

The probability of selecting three families, all of which prepared their own taxes, is approximately 0.098, or 9.8%.

d. The probability of selecting two families, neither of which had their taxes prepared by H&R Block, can be calculated by multiplying the probability of selecting the first family that did not have their taxes prepared by H&R Block (17/23) by the probability of selecting the second family from the remaining families that also did not have their taxes prepared by H&R Block (16/22):

P(neither family had taxes prepared by H&R Block) = (17/23) * (16/22) ≈ 0.520

The probability of selecting the first family that did not have their taxes prepared by H&R Block is 17/23. After selecting the first family, there are 16 families left that did not have their taxes prepared by H&R Block out of the remaining 22 families.

The probability of selecting two families, neither of which had their taxes prepared by H&R Block, is approximately 0.520, or 52.0%.

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To find a possible formula for the exponential function described, we need to determine the values of the parameters a and b in the general form of the function, f(x) = ab.

Given that f(10) = 52 and f(41) = 16, we can set up two equations using these values:

52 = ab^10

16 = ab^41

To solve for a and b, we can divide equation 2 by equation 1:

16/52 = (ab^41)/(ab^10)

Simplifying this equation gives:

0.3077 = b^(41-10)

0.3077 = b^31

Taking the 31st root of both sides, we get:

b ≈ 0.8889

Substituting this value of b back into equation 1, we can solve for a:

52 = a(0.8889)^10

a ≈ 67.6517

Therefore, a possible formula for the exponential function is f(x) ≈ 67.6517 * (0.8889)^x.

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Answer:

  $0.04

Step-by-step explanation:

The cost per ounce is found by dividing the cost by the number of ounces.

In 2 gallons, there are 2×128 fl.oz. = 256 fl.oz. Then the cost per ounce is ...

  cost/ounces = $10.24/(256 fl.oz) = $0.04 /fl.oz.

The cost of the laundry detergent is $0.04 per fluid ounce.

__

Additional comment

Keeping the units with the numbers in a calculation can give you confidence that the calculated result has the units you want it to have.