You get paid $15.25 per hour and "Double Time" for any hours over 40 in one week.Monday - 8:00 to 12:15 and then 12:45 to 5:00Tuesday - 7:45 to 11:30 and then 12:15 to 6:00Wednesday - 7:15 to 12:30 and then 1:30 to 5:15Thursday - 8:00 to 12:00 and then 12:45 to 5:30Friday - 7:45 to 12:30 and then 1:15 to 7:15Total Hours for the week -Total Gross Pay for the week -

Speed of the van = 64 7/8 mph

Speed of airplane = 5 6/7 x speed of the van

Speed of the airplane= ?

Since the speed of the airplane is 5 6/7 times the speed of the van, the speed of airplane is:

Speed of airplane =

First we need to convert the mixed fractions into simple form before we can multiply the two.

In converting mixed fractions to simple form, first we copy the denominator then we get the (new) numerator by multiplying the denominator and the mixed number and adding the (previous) numerator.

Here, Numerator = 7 x 5 + 6 (denominator x mixed number + numerator)

Numerator = 8 x 64 +7 (denominator x mixed number + numerator)

Now that we have converted the fractions into simple form, we can proceed to multiplication. To do this we multiply the numerator by the numerator, and the denominator by the denominator.

Notice that we convert the answer back to mixed form. To do that, e just divide the numerator by the denominator. The whoe number in the quotient will be the mixed number , the denominator is as it is and the remainder is your numerator.

Answer:

Speed of Airplane =

The number of different committees that can be formed is 495

From the question, we have the following parameters that can be used in our computation:

People = 12

Committee = 4

These can be represented as

n = 12 and r = 4

The number of different committees that can be formed is

Number = nCr

So, we have

Number = 12C4

Evaluate

Number = 495

Hence, the committee are 495

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The critical value, given the sample size of 5 and the confidence level of 99. 0 percent would be 16. 812.

The critical values for the chi-squared (χ^2) distribution depend on the degree of freedom and the level of significance.

The degree of freedom for a chi-squared distribution typically equals the sample size minus 1 so the degrees of freedom here is:

= 5 - 1

= 4

The level of significance would be:

= 1 - 99. 0 %

= 0. 01

The critical value of the sample would therefore be found on a chi -squared distribution table for df = 4 and α = 0.01 to be 16. 812.

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I. The solution to the system of equations using Gaussian elimination is x = 1, y = -1, and z = 2.

II. For the LU-decomposition method, we need to have a square coefficient matrix, which is not the case in the given system. Therefore, we cannot directly apply the LU-decomposition method.

III. For this method to converge, the coefficient matrix must be diagonally dominant, which is not the case in the given system. Therefore, the Gauss-Jacobi method cannot be directly applied either.

IV. It requires the coefficient matrix to be diagonally dominant, which is not satisfied in the given system. Hence, the Gauss-Seidel method cannot be directly used.

I. Gaussian Elimination Method:

To solve the system of linear equations using Gaussian elimination, we perform row operations to reduce the system into upper triangular form. The augmented matrix for the given system is:

| 6 2 -1 | 4 |

| 1 5 1 | 3 |

| 2 1 4 |27 |

We can start by eliminating the coefficients below the first element in the first column. To do this, we multiply the first row by a suitable factor and subtract it from the second and third rows to eliminate the x coefficient below the first row. Then, we proceed to eliminate the x coefficient below the second row, and so on.

After performing the necessary row operations, we obtain the following reduced row-echelon form:

| 6 2 -1 | 4 |

| 0 4 2 | -1 |

| 0 0 3 | 6 |

From this form, we can easily back-substitute to find the values of x, y, and z. We have z = 2, y = -1, and x = 1.

II. LU-Decomposition Method:

LU-decomposition is a method that decomposes a square matrix into a product of two matrices, L and U, where L is lower triangular and U is upper triangular.

III. Gauss-Jacobi Method:

The Gauss-Jacobi method is an iterative numerical method to solve systems of linear equations.

IV. Gauss-Seidel Method:

Similar to the Gauss-Jacobi method, the Gauss-Seidel method is an iterative method for solving linear systems.

Therefore, out of the four methods mentioned, only the Gaussian elimination method can be used to solve the given system of linear equations.

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Answer:

8m

Step-by-step explanation:

The area of a triangle is calculated by multiplying the base by the height and then dividing the answer by 2.

A = bh/2

We can use this as a formula to find the base by substituting in the given values:

64 = 16b/2

Multiplying both sides by 2 will get rid of the fraction and isolate the b term:

64x2 = 16b/2 x2

128 = 16b

Finally we divide both sides by 16:

128/16 = 16b/16

8=b

The base is 8m.

Hope this helped!

Answer:

82.5 minutes

Step-by-step explanation:

We have to figure out how many minutes are in 17/8 hours.  17/8 = 2 1/8 hours.  We know that 2 hours is 120 minutes.

1/8hours x 60 min = 7.5 minutes.

120 + 7.5 = 127.5 minutes then subtract out 45.  That leaves 82.5 minutes.

Answer:

\(\cos G=\dfrac{2}{3}\)

\(\csc E=\dfrac{3}{2}\)

\(\cot G=\dfrac{2}{\sqrt{5}}\)

Step-by-step explanation:

If the right angle of right triangle EFG is ∠F, then EG is the hypotenuse, and EF and FG are the legs of the triangle. (Refer to attached diagram).

Given ΔEFG is a right triangle, and EG = 6 and FG = 4, we can use Pythagoras Theorem to calculate the length of EF.

\(\begin{aligned}EF^2+FG^2&=EG^2\\EF^2+4^2&=6^2\\EF^2+16&=36\\EF^2&=20\\\sqrt{EF^2}&=\sqrt{20}\\EF&=2\sqrt{5}\end{aligned}\)

Therefore:

\(\hrulefill\)

To find cos G, use the cosine trigonometric ratio:

\(\boxed{\begin{minipage}{9 cm}\underline{Cosine trigonometric ratio} \\\\$\sf \cos(\theta)=\dfrac{A}{H}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)

For angle G, the adjacent side is FG and the hypotenuse is EG.

Therefore:

\(\cos G=\dfrac{FG}{EG}=\dfrac{4}{6}=\dfrac{2}{3}\)

\(\hrulefill\)

To find csc E, use the cosecant trigonometric ratio:

\(\boxed{\begin{minipage}{9 cm}\underline{Cosecant trigonometric ratio} \\\\$\sf \csc(\theta)=\dfrac{H}{O}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)

For angle E, the hypotenuse is EG and the opposite side is FG.

Therefore:

\(\csc E=\dfrac{EG}{FG}=\dfrac{6}{4}=\dfrac{3}{2}\)

\(\hrulefill\)

To find cot G, use the cotangent trigonometric ratio:

\(\boxed{\begin{minipage}{9 cm}\underline{Cotangent trigonometric ratio} \\\\$\sf \cot(\theta)=\dfrac{A}{O}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)

For angle G, the adjacent side is FG and the opposite side is EF.

Therefore:

\(\cot G=\dfrac{FG}{EF}=\dfrac{4}{2\sqrt{5}}=\dfrac{2}{\sqrt{5}}\)

Solution

Step 1

IIn order to determine the relationship of the two values, we simply divide 440,000 by 44

= 440,000/44

=10,000

Final answer:

440,000 is 10,000 times of 44

Answer:

Your answer is: 15

Your equation would have f(5) = x^2 + 2x

Substitute the given value into the function and evaluate.

Step-by-step explanation:

Hope this helped ; )

Answer:

It would have to be around 52.5 bikes to break even exactly but you cant sell half of a bike so more like 53.

Step-by-step explanation:

Hope this helps.

Answer:

what do you need no one can help if you don't say what you need

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

trust me

Answer:

5 + 3 = 1 6

8 = 1 6

8 = 1 6

8 /8 = 1 6 /8

= 2

The equation of a line in the slope intercept form is expressed as

y = mx + c

where

m represents slope

c represents y intercept

Rearranging the equation so that it takes the slope intercept form, it becomes

- 4x + 3y = - 30

3y = 4x - 30

y = 4x/3 - 30/3

y = 4x/3 - 10

The y intercept is - 10

The graph is shown in the attached photo

We can see that the line cuts through the y axis at y = - 10. This is the y intercept

The area of this composite figure made from placing a sector of a circle on a triangle is 95.55 square cm

The sector area

The area of the sector is calculated as

Area = x/360 * πr²

Where

r² = 8² + 6²

So, we have

r² = 100

This means that

Area = 82/360 * π * 100

Evaluate

Area = 71.55

The triangle area

This is calculated as

Area = 0.5bh

So, we have

Area = 0.5 * 8 * 6

Evaluate

Area = 24

So, the area of the figure is

Figure = 24 + 71.55

Figure = 95.55

Hence, the area is 95.55

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Answer: \(g(-2)=2a\)

Step-by-step explanation:

\((f \cdot g)(-2)=f(-2)g(-2)\\\\\therefore a \cdot g(-2)=2a^2 \implies g(-2)=2a\)

The function g(-2) from the given functions is 2a.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given functions are f(-2)=a and (f·g)(-2)=2a².

Here, (f·g)(-2)=2a²

f(-2)·g(-2)=2a²

a·g(-2)=2a²

g(-2)=2a²/a

g(-2)=2a

Therefore, the function g(-2) is 2a.

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The mean from a Histogram, table, and dot plot, it is not possible to determine the mean directly from a stem-and-leaf plot.

Out of the given options, the display of data for which it is not possible to find the mean is the stem-and-leaf plot.

A histogram displays data in the form of bars, where the height of each bar represents the frequency of data within a specific range. From a histogram, it is possible to calculate the mean by summing up the products of each value with its corresponding frequency and dividing it by the total number of data points.

A table presents data in a structured format, typically with rows and columns, allowing for easy calculation of the mean. By adding up all the values and dividing by the total number of values, the mean can be obtained from a table.

A stem-and-leaf plot organizes data by splitting each value into a stem (the first digit or digits) and a leaf (the last digit). While a stem-and-leaf plot provides a visual representation of the data, it does not directly provide the frequency or count of each value. Hence, it is not possible to determine the mean directly from a stem-and-leaf plot without additional information.

A dot plot represents data using dots along a number line, with each dot representing an occurrence of a value. Similar to a histogram and table, a dot plot allows for the calculation of the mean by summing up the values and dividing by the total number of data points.

In summary, while it is possible to find the mean from a histogram, table, and dot plot, it is not possible to determine the mean directly from a stem-and-leaf plot.

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\(\huge\text{Hey there!}\)

\(\mathsf{\dfrac{1}{5}\ of\ \dfrac{5}{6}}\)

\(\bullet \large\textsf{ FUN FACT: The word \underline{of} in mathematics means \underline{multiply}}\)

\(\large\text{So, your new \underline{EQUATION} is}\downarrow\)

\(\mathsf{=\dfrac{1}{5}\times\dfrac{5}{6}}\)

\(\mathsf{= \dfrac{1\times5}{5 \times6}}\)

\(\mathsf{1\times5=\bf 5\leftarrow}\large\text{ NUMERATOR}\)

\(\mathsf{5\times6= \bf 30\leftarrow }\large\text{ DENOMINATOR}\)

\(\mathsf{= \dfrac{5}{30}}\)

\(\mathsf{= \dfrac{5\div5}{30\div5}}\)

\(\mathsf{5\div5=\bf 1\leftarrow}\large\text{ NUMERATOR}\)

\(\mathsf{30\div5=\bf 6\leftarrow}\large\text{ DENOMINATOR}\)

\(\mathsf{=\bf \dfrac{1}{6}}\)

\(\boxed{\boxed{\large\text{ANSWER: }\mathsf{\bf \dfrac{1}{6}}}}\huge\checkmark\)

\(\text{Good luck on your assignment and enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer:

the answer should be c.

Step-by-step explanation:

here's why....A uses 4 more which is adding. B uses 4 fewer which is subtracting and D does not complete so it should be C.

Answer:

24.464~20 pounds

Step-by-step explanation:

11.12*2.20

=24.464

24.46=20

Hope this helps :)

The best estimate of the weight of the box in pounds is 2,446.4 pounds.

Given that, a box filled with books weighs 1112 kilograms.

We need to find what is the best estimate of the weight of the box in pounds.

To convert kilograms to pounds, multiply your kilogram measurement by 2.2.

Given, 1 kilogram = 2.20 pounds

Now, 1112×2.2=2,446.4 pounds

≈2,446

Therefore, the best estimate of the weight of the box in pounds is 2,446  pounds.

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Answer:

7

Step-by-step explanation:

2.48>2.471>2.463

please mark brainliest

Answer: i think c

Step-by-step explanation:

Therefore , the solution of the given problem of function comes out to be g(x) = f(x) - 3  transformed .

Mathematics includes the study of numbers, various variable, the natural reality, architecture, and both actual and hypothetical locations. A function is a visual representation of the relationship between the number of inputs and the corresponding outputs for each. Simply explained, a function range is a collection of inputs that, whenever combined, result in a different output by each input. Every function is assigned a city, county, or scope, sometimes known as a realm. The letter f is frequently used to denote functions (x).

Here,

Given :

=>  f(x) = log x

=> g(x) = log (x) - 3

So , it is transformed as logx = f(x)

it is transformed as :

=> g(x) = f(x) - 3

Therefore , the solution of the given problem of function comes out to be g(x) = f(x) - 3  transformed .

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The triangle for which angle a =30\degree, angle b=45\degree, and a=20, side a ≈ 20, side b ≈ 28.284, and side c ≈ 38.636

Two angles (a and b) and one side (a) are provided for us to solve the triangle. Let's call the side across from angle a side A, the side across from angle b side B, and the side across from the final angle (angle c) side C.

Here, it is given that,

angle a = 30 degrees

angle b = 45 degrees

side a = 20

angle c = 180 - (angle a + angle b)

angle c = 180 - (30 + 45)

angle c = 180 - 75

angle c = 105 degrees

We know that, a/sin(A) = b/sin(B) = c/sin(C)

a/sin(A) = b/sin(B) = c/sin(C)

20/sin(30) = b/sin(45) = c/sin(105)

b/sin(45) = 20/sin(30)

b = (sin(45) * 20) / sin(30)

b ≈ (0.7071 * 20) / 0.5

b ≈ 14.142 / 0.5

b ≈ 28.284

Now,

c/sin(105) = 20/sin(30)

c = (sin(105) * 20) / sin(30)

c ≈ (0.9659 * 20) / 0.5

c ≈ 19.318 / 0.5

c ≈ 38.636

Thus, side a ≈ 20, side b ≈ 28.284, and side c ≈ 38.636.

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The equation of the line that passes through (2,28) and is perpendicular to the line that passes through (3,7) and (-2,5) is 5x + 2y = 66.

To find the equation of the line that passes through the point (2,28) and is perpendicular to the line that passes through the points (3,7) and (-2,5).

We need to follow a few steps.

Let us first determine the slope of the line passing through the points (3,7) and (-2,5).

We use the formula for finding slope, which is given as follows:m = (y2 - y1)/(x2 - x1)

Here,

x1 = 3, y1 = 7, x2 = -2, y2 = 5.

Substituting these values, we get:m = (5 - 7)/(-2 - 3) = -2/-5 = 2/5

Therefore, the slope of the line passing through (3,7) and (-2,5) is 2/5.

Now, since the line that we are looking for is perpendicular to this line, its slope will be the negative reciprocal of this slope.

We find the negative reciprocal as fol

lows:-

1/(2/5) = -5/2

Therefore, the slope of the line we are looking for is -5/2.

Now we can use the point-slope form of the equation of a line to find its equation.

This equation is given as follows:y - y1 = m(x - x1)

Here, (x1, y1) = (2,28) and m = -5/2.

Substituting these values, we get: y - 28 = (-5/2)(x - 2)

Expanding this equation, we get: 2y - 56 = -5x + 10

Rearranging this equation, we get: 5x + 2y = 66

Therefore, the equation of the line that passes through (2,28) and is perpendicular to the line that passes through (3,7) and (-2,5) is 5x + 2y = 66.

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Answer:

5/12

Step-by-step explanation:

Probability of drawing green ball on the first time=6/9=2/3

Probability of drawing green ball on the second time=5/8

Probability of having a green ball drawn

both times=(2/3)*(5/8)=10/24=5/12