You worked 5.5 hours one day and 3 hours another day. You had 8 dollars already and now that you have been paid, you have $84.50. How much were you paid an hour

Answer:

1) -11/180

2) 52/15

3) -43/72

4) 347/70

5) 11/12

6) 75/8

Step-by-step explanation:

1) -11/180

2) 52/15

3) -43/72

4) 347/70

5) 11/12

6) 75/8

Explanation: You can simplify the numbers to smaller numbers and make the denominator the same, or else just use a calculator.

Answer: The general solution of the differential equation is in the screenshot provided

Step-by-step explanation:

Answer:

Step-by-step explanation:

Domain: 3, -1, 1,

Range: 5, 2, -1, 4

Answer: domain is (-3, -1, 1,) range is (5, 2, -1, 4)

Step-by-step explanation:

Domain is all possible x values.

Range is all possible Y values.

0.56

Step-by-step explanation:

The answer would be .56 because 7 pounds in ounces is 112 and 62.72÷ 112 is .56 or 0.56

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The translation transformation of the parent function in the graph, indicates that the equation for each of the specified graphs, using the form y = f(x - h) + k, are;

a. y = f(x) + 3

b. y = f(x - 3)

c. y = f(x - 1) + 2

A transformation of a function is a function that takes a specified function or graph and modifies them into another function or graph.

The points on the graph of the specified function f(x) in the diagram are; (0, 0), (1.5, 1), (-1.5, -1)

The graph is the graph of a periodic function, with an amplitude of (1 - (-1))/2 = 1, and a period of about 4.5

Therefore, we get;

a. The graph in part a consists of the parent function shifted up three units. The transformation that can be represented by the vertical shift of a function f(x) is; f(x) + a or f(x) - a

Therefore, the translation of the graph of the parent function is; f(x) + 3

b. The graph of the parent function in the graph in part b is shifted to the right two units, and the vertical translation is zero units, down or up.

The translation of the graph of a function by h units to the right or left can be indicated by an subtraction or addition of h units to the value of the input variable, therefore, the translation of the function in the graph of b is; y = f(x - 3) + 0 = f(x - 3)

c. The translation of the graph in part c are;

A vertical translation 2 units upwards

A horizontal translation 1 unit to the right

The equation representing the graph in part c is therefore; y = f(x - 1) + 2

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The volume of a cylinder with a height of 9 cm and a radius of 3 cm in terms of π is 81π cm³

Volume of cylinder = πr²h

where,

So,

Volume of cylinder = πr²h

= π × 3² × 9

= π × 9 × 9

= 81π cm³

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The statement about the figure that is true is C - It has no reflectional symmetry .

Reflectional symmetry, also known as line symmetry , is a type of symmetry in which a figure can be divided into two identical parts by a line of reflection . When a figure has reflectional symmetry, one half of the figure is a mirror image of the other half .

The figure given does not have reflectional symmetry because it cannot be divided into identical parts by a line of reflection .

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Answer:

minimum

Step-by-step explanation:

this is a minimum since the vertex is at the bottom

it would be a max if the vertex is at the top and the graph opens down

The reason for why the confidence intervals help researchers attain their purpose of using a sample to understand a population is given below .

In the question ,

we have been asked how does the confidence interval help researchers to attain the purpose of using a sample to understand a population ,

we know that , the confidence interval is calculated from an estimate of how far away our sample mean is from actual population mean .

the confidence interval are useful because ,

(i) by calculating the confidence intervals around any data we collect, we have additional information about the likely values we are trying to estimate .

(ii) they make data analyses richer and help us to make more informed decisions about the research questions .

Therefore , the reason how confidence interval helps is mentioned above.

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The option that is not a way by which minerals are being formed is decrystallization. That is option B

Minerals are organic substances that are form through the following ways;

Decrystallization is not a way through which minerals are formed because it is just the break down of solid or crystal structures.

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Complete question:

Which of the following is not a method by which minerals form?. a. crystallization. b. decrystallization. c. water evaporation from a solution. d. cooling of magma or lava

Answer:

yes

Step-by-step explanation:

Answer:

Coal is nonrenewable

Natural gas is renewable

oil is nonrenewable

sunlight is renewable

water is renewable

wood is renewable

Answer:

a₈ = \(\frac{1}{78125}\)

Step-by-step explanation:

The nth term of a geometric sequence is

\(a_{n}\) = a₁\((r)^{n-1}\)

Here a₁ = 1 and r = \(\frac{1}{5}\) , then

a₈ = 1 × \((\frac{1}{5}) ^{7}\) = 1 × \(\frac{1}{78125}\) = \(\frac{1}{78125}\)

The potato is in the air for approx. 1.0625 seconds.

The actual cost of manufacturing 24 coffee makers is $1,755.67.

a. To find the time that a potato is in the air, use the quadratic equation formula where a=-16,

b=34, and

c=42. `

t = (-b ± sqrt(b²-4ac))/2a`.

Let's start by finding the discriminant first. `b²-4ac = (34)²-4(-16)(42)

= 1156`.

Substitute the values of a, b, and c into the quadratic formula.

t = (-34 ± sqrt(1156))/-32

= (-34 ± 34)/-32`.

There are two solutions to the quadratic equation. Thus, we need to check if there are any negative values for time.

t = (-34 + 34)/-32

= 0.

t = (-34 - 34)/-32

= 1.0625`.

Therefore, the potato is in the air for 1.0625 seconds.

b. To find the actual cost of manufacturing 24 coffee makers, substitute x=24 into the cost function

C(x) = 155 + 66x + x²/36`.

C(24) = 155 + 66(24) + 24²/36

= 155 + 1584 + 16.67`. `

C(24) = 1755.67`.

Therefore, the actual cost of manufacturing 24 coffee makers is $1,755.67.

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The solution to the graph of the linear inequality is the point of intersection which is (-5, 3)

A system of linear inequalities in two variables consists of at least two linear inequalities in the same variables. The solution of a linear inequality is the ordered pair that is a solution to all inequalities in the system and the graph of the linear inequality is the graph of all solutions of the system

In this problem, to find the solution to the system of linear inequality, we have to find the point of intersection. This gives the exact solution to the graph.

Looking at this graph, the point of intersection is (-5, 3)

The solution to the graph is (-5, 3)

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The number of reindeer in St. Elsewhere in 1920 will be approximately 475.

The growth rate of .12 indicates an annual increase of 12%, meaning that each year the number of reindeer will be multiplied by 1.12. To find the number of reindeer in 1920, we need to use this growth rate over the 20-year period from 1900 to 1920.
Starting with the initial 52 reindeer, we can multiply by 1.12 for each year. This gives us:
Year 1: 52 * 1.12 = 58.24
Year 2: 58.24 * 1.12 = 65.10
Year 3: 65.10 * 1.12 = 72.90
Year 4: 72.90 * 1.12 = 81.60
Year 5: 81.60 * 1.12 = 91.15
Year 6: 91.15 * 1.12 = 101.66
Year 7: 101.66 * 1.12 = 113.27
Year 8: 113.27 * 1.12 = 126.13
Year 9: 126.13 * 1.12 = 140.43
Year 10: 140.43 * 1.12 = 156.36
Year 11: 156.36 * 1.12 = 174.16
Year 12: 174.16 * 1.12 = 194.10
Year 13: 194.10 * 1.12 = 216.45
Year 14: 216.45 * 1.12 = 241.58
Year 15: 241.58 * 1.12 = 269.87
Year 16: 269.87 * 1.12 = 301.72
Year 17: 301.72 * 1.12 = 337.62
Year 18: 337.62 * 1.12 = 378.10
Year 19: 378.10 * 1.12 = 423.77
Year 20: 423.77 * 1.12 = 475.30
Therefore, the number of reindeer in St. Elsewhere in 1920 will be approximately 475.

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Answer:

Each car cost $0.81, you would need to do 0.81 times 25 and you would get $20.25

Step-by-step explanation:

Maximum 8A/144 people are allowed to entire the park.

The entire space taken up by the surface of the park is called area.

If the park is rectangular shaped, then the area is the product of length and breadth. If it is square shaped, area can be determined by the square of the side length.

Given, length of unused space = 12 foot

    breadth of unused space = 12 foot

Area of unused space = 12 x 12 = 144 square feet

Maximum 8 people is allowed for every 144 squares feet space

Let, area of the entire park is A square feet

Now maximum number of people allowed = (8 × A)/ 144

hence, 8A/144 people is allowed.

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Answer:

52 rides

Step-by-step explanation:

125 - 8 - 8 - 8 - 8 = 93

93 - 27 = 66

66 ÷ 1.25 = 52.8

Since 52.8 rides we have to use only the whole numbers, so in this case 52.

Hope this helps!

Answer: In the image I have attached

Step-by-step explanation:

When it comes to graphing you can either do this by creating a table with this equation and plugging in numbers for the x to get yourself values to plug in.

Or, you can use this neat website called desmos to help with graphing equations like these.

Answer:

n=20

Sum of age of men = 50n

when 2 left,

(50n-55-63)/n-2=50-1

50n-55-63=49n-98

50n-55=49n-35

50n-49n=-35+55

n=20

Answer:

The answer is D.

Step-by-step explanation:

The job would give her $130.50 dollars per week. Basically m= 7.25h.

Then, Monday was $27 dollars. Wednesday was $27 as well. Thursday was $36 also. So, we just needed to add this all together. You would get $220.50. So, it would be D!

The coefficient of variation (CV) is a measure of relative variability and is calculated by dividing the standard deviation by the mean, and then multiplying by 100 to express it as a percentage.

In this case, the mean weight is 340 grams, and the standard deviation is 5.2 grams.

CV = (Standard Deviation / Mean) * 100

CV = (5.2 / 340) * 100

CV ≈ 1.53%

Therefore, the correct answer is option B: 1.53%.

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The area of the region cut from the first quadrant by the cardioid is 3π/8 +1

A cardioid is a two-dimensional plane figure that has a heart-shaped curve. The equation of cardioid is r = a(1 ± sinθ) .

The area of the polar function can be calculated if the boundary condition that form the reason is given or can be found from the given information now we use the formula using the polar formula of the area as:

\(A = \int\limits^b_a {\frac{r^{2}}{2}} d\theta\)

The Area of the region cut from the first quadrant by cardioid,

\(A = \int\limits^\frac{\pi}{2}_0 {\frac{r^{2}}{2}} d\theta\)

Substituting r = 1 + sin ∅

\(A = \int\limits^\frac{\pi}{2}_0 {\frac{(1+ sin\theta)^{2}}{2}} d\theta\)

Opening square ,

\(A = \frac{1}{2}\int\limits^\frac{\pi}{2}_0 {1 +2sin\theta + sin^{2}\theta d\theta\)

=> \(A = [ \frac{1}{2} (\theta - 2cos\theta + \frac{1}{2} (\theta - \frac{1}{2}sin2\theta))]^\frac{1}{2}_{0}\)

=> 3π / 8 - (-1)

=> 3π/8 +1

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The area of the land that is not watered is 54000 m² with square plot has sides of length 500 meters.

It is given that square plot has sides of length 500 meters so,

Area of a square = Length x Length

Area of the square = 500 x 500

Area of the square = 250000 m²

The area of the circular field:

Area of a circle= πr²

Area of the circle = π(500÷ 2)²

Area of the circle = 196429 m²

Therefore area not watered = 250000 - 196429

Area not watered = 53571 m²

Area not watered = 54000 m² (nearest thousand)

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Answer:

A) first term is 23 the second term is 37

B) 8

C) y-x. x-y, x+y

Step-by-step explanation:

Answer:

8.6

Step-by-step explanation:

1.50 * 2 = 3.00

2.80 * 2 = 5.60

3 + 5.60 = 8.6

Answer:

(-6,0)

Step-by-step explanation:

3x - 7y = -18             -7y = -3x - 18

y = 3/7x + 18/7

4x - 2(3/7x + 18/7) = -24

4x - 6/7x - 36/7 = -24

22/7x = -132/7

x = -6

3(-6) - 7y = -18

-18 - 7y = -18

-7y = 0

y = 0

Don should focus on sales promotion if he wants to help his clients create and maintain favorable relationships with their various internal and external groups. Option E is correct.

Hence we can conclude based on the explanation above that don should focus on sales promotion if he wants to help his clients create and maintain favorable relationships with their various internal and external groups.

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False. The expected cell frequency in statistical analysis, specifically in the context of contingency tables and chi-square tests, is not based on the researcher's opinion. Instead, it is determined through mathematical calculations and statistical assumptions.

In contingency tables, the expected cell frequency refers to the expected number of observations that would fall into a particular cell if the null hypothesis of independence is true (i.e., if there is no relationship between the variables being studied). The expected cell frequency is calculated based on the marginal totals (row totals and column totals) and the overall sample size.

The expected cell frequency is computed using statistical formulas and is not influenced by the researcher's opinion or subjective judgment. It is a crucial component in determining whether the observed frequencies in the cells significantly deviate from what would be expected under the null hypothesis.

By comparing the observed cell frequencies with the expected cell frequencies, statistical tests like the chi-square test can assess the association or independence between categorical variables in a data set.

Thus, the statement "the expected cell frequency is based on the researcher's opinion" is false. The expected cell frequency is derived through statistical calculations and is not subject to the researcher's subjective input.

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Answer:

x < -7

Step-by-step explanation:

The circle is open meaning -7 is not included in the answer