A worker is filling out his timesheet. He worked 8 hours on Monday, 7 hours and 30 minutes on Tuesday, 8¾ hours on Wednesday, 4 hours on Thursday, and 8¼ hours on Friday. If he earns $14.35 per hour, what will be his gross pay for this week? (Enter numeric value only. Round your answer to the nearest penny.)

Answer: Its. C. Line BC is longer than line BD

Step-by-step explanation:

The correct place to the decimal is after 4 digits, that is 4431.5

Decimals are the numbers, having two parts, a whole number part and a fractional part separated by a point that point is called the decimal. For example, 7.5 is a decimal number.

Given that, Mary says the digits in the quotient of 381.109÷0.86 are 44315.

but she doesn't know where to place the decimal point.

The division is 381.109/0.86

Placing the decimals in numerator and removing from denominator,

Since, in the denominator the decimal is two digits before, so multiply numerator and denominator by 100,

38110.9/86

According to rule, put the decimal point in the answer at the same place it is at in the dividend,

38110.9/86 = 4431.5

Hence, she should put decimal before digit 5.

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The required expected number of women on the committee is 1/2 or 0.5.

The expected number of women on the committee can be found by calculating the probability that a woman is selected for the committee and then multiplying that probability by the number of people on the committee.

There are a total of 6 + 2 = 8 people in the club, and the committee has 2 people.

Given the committee is selected randomly, the probability that a particular person is selected for the committee is 2/8 = 1/4.

There are 2 women in the club, so the probability that a woman is selected for the committee is 2/8 = 1/4.

The expected number of women on the committee is the probability that a woman is selected for the committee multiplied by the number of people on the committee, which is (1/4) * 2 = 1/2.

Thus, the expected number of women on the committee is 1/2 or 0.5.

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Answer:

1st answer option

Step-by-step explanation:

the 45° side angles make this an isoceles triangle (both legs are equally long).

therefore, x = y.

Pythagoras gives us

c² = a² + b²

with c being the Hypotenuse (the side opposite of the 90° angle), and a and b being the legs.

so, we have

(5 × sqrt(2))² = x² + y² (remember, x = y)

(5 × sqrt(2))² = x² + x²

25 × 2 = 2x²

25 = x²

x = 5

because of x = y

y = 5

Answer:

A. true

Step-by-step explanation:

I believe you pay most of your interest when you first receive the loan.

Answer:

cis theanswerforthequwstion

Adding the times on A and B gets you 16 minutes and 3 seconds. 20 minutes minus 16 minutes and 3 seconds will leave you with

3 minutes, 57 seconds

you think I know

Step-by-step explanation:

bro what

By solving an equation, we know that the value of w or the number of dogs Tina must wash to earn a profit of $400 is 5.

A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.

For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

So, using the  information given, the equation can be formed as:

21w - 65 = 40

Now, solve for the subject w to get the value of w as follows:

21w - 65 = 40

21w = 40 + 65

21w = 105

w = 105/21

w = 5

Therefore, by solving an equation, we know that the value of w or the number of dogs Tina must wash to earn a profit of $400 is 5.

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The cost of the tasks to surround the figures with a fence, equivalent to   perimeter of the fence and an extra percentage are as follows;

1. $143

2. $143.75

3. $147.84

4. $224.64

The perimeter of a figure is the length of the line that surrounds the plane area covered by the figure.

1. The perimeter of the fence = 2 ft +  4 ft + 2 ft + 4 ft + 2 ft + 4 ft + (4 ft - 2 ft)  = 20 ft

The perimeter needed = 110/100 × 20 ft = 22 ft

The cost of 4 feet of fence = $26

Cost per feet of fence = $26/4 = $6.5/ft

Cost of the task = 22 feet × $6.5/ft = $143

2. The perimeter of the fence = 3 ft + 3 ft + 2 ft + 3 ft + 1 ft + 2 ft + 1 ft + 2 ft + 3 ft = 20 ft

The perimeter of the fence needed = 115/100 × 20 ft = 23 ft

Cost of 4 feet = $25

Cost per ft = $25/4 = $6.25

Cost of the fencing = 23 ft × $6.25/ft = $143.75

3. The perimeter of the fence = 5 ft +  3 ft + (6 ft - 5 ft) + 2 ft +  6 ft + 2 ft + 3 ft = 22 ft

The fence needed = 120/100 × 22 ft = 26.4 ft

The cost of 5 ft of fencing = $28

The cost per feet = $28/5 ft = $5.6/ft

The cost of the fencing = 26.4 ft × $5.6/ft = $147.84

Cost of the Task = $147.84

4. The perimeter of the fence = 8 ft + 6 ft + (8 ft - 6 ft) + (8 ft - 6 ft) + 6 ft + 8 ft = 32 ft

The fencing needed = 104/100 × 32 ft = 33.28 ft

The cost for 4 feet = $27

The cost per feet = $27/4 ft = $6.75/ft

The cost of the task = 33.28 ft × $6.75/ft = $224.64

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Answer:

To find the value of the quartiles, we need to first find the median of the data set. The median is the middle value of the data set, or the value that separates the lower half of the data from the upper half. In this data set, the median is 68, as it is the middle value when the data is arranged in ascending order.

Once we have the median, we can find the first and third quartiles. The first quartile, also known as Q1, is the median of the lower half of the data set, and the third quartile, also known as Q3, is the median of the upper half of the data set. In this data set, the lower half of the data is {56, 58, 64}, and the upper half of the data is {72, 75, 78}. The median of the lower half is 58, and the median of the upper half is 75.

Therefore, the value of the quartiles is Q1 = 58, Q2 = 68, and Q3 = 75.

Option D, Q1 = 58; Q2 = 68; Q3 = 75, is the correct answer.

Step-by-step explanation:

Answer: (-3,-3)

Step-by-step explanation:

Sub in the numbers

3(0)-4(-4)<16

16<16 wrong

3(-3)-4(-3)<16

-9+12<16

3<16 Correct

(-3,-3)

Answer:

Answer: C. Oliver will knit eight rows each week for nine weeks and then he will still have nine rows to knit.

Step-by-step explanation:

The  equation that correctly solves for x in △RST is; x² + 11x - 42 = 0

We are given that ΔDEF ∼ △RST.

This means that ΔDEF is similar to △RST.

From the concept of similar triangles, all corresponding sides are usually in the same ratio. Thus, applying this to our given triangles, we have;

DE/RS = EF/ST = DF/RT

This means when we plug in the relevant values, we will get;

(x + 5)/12 = (x + 7)/(x + 12) = 6/(x + 6)

Thus, we can say that;

(x + 5)/12 = 6/(x + 6)

Cross multiply to get;

(x + 5)(x + 6) = 72

x² + 11x + 30 - 72 = 0

x² + 11x - 42 = 0

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Complete question is;

In the figure shown, ΔDEF ∼ △RST . Which equation can be used to find the value of x?

The difference between fundamental theorem of calculus part 1 and 2 is explained below:

The basic theorem of calculus is a theorem that connects the ideas of differentiating and integrating functions. A constant value that relies on where one begins to compute area makes the two procedures the inverses of one another. The relationship between the integral and derivative is established by the calculus fundamental theorem. Simply put, it says that the height of the area at a point x equals the rate of change of the area under the curve up to that point. We can find definite integrals with the aid of this theorem.

The connection between the integral and the derivative is demonstrated in The Fundamental Theorem of Calculus, Part 1. Take note. A definite integral can be assessed in terms of an antiderivative of its integrand using the Fundamental Theorem of Calculus, Part 2. This formula will calculate the total area under a curve.

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Triangle ABC has been translated 4 units to the right into triangle DEF. Then, the coordinates of point E is (6, -2).

A translation in math moves a shape left or right and/or up or down. The translated shapes look exactly the same size as the original shape, and hence the shapes are congruent to each other. They just have been shifted in one or more directions.

Given that, triangle ABC has been translated 4 units to the right into Triangle DEF.

From the given coordinate plane A(-8, -2), B(2, -2) and (-4, -9)

When the shape is moved towards the right by k units, then replace x with x + k.

Now,

A(-8, -2) → D(-8+4, -2)=D(-4, -2)

B (2, -2) → E(2+4, -2)=E(6, -2)

C (-4, -9) → F(-4+4, -9)=F(0, -9)

Therefore, the coordinates of point E is (6, -2).

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Answer: Yes

Step-by-step explanation:

Parallel means that the lines are a constant distance away from each other and they never touch. As you can see lines C and D never touch.

The Lines D and C are Parallel since Parallel lines never touch

Hope this helps!

Statement C is correct

The line lies on the same plane as the points.

A 3-d or three-dimensional plane is called a hyperplane.

The three axes X-axis, Y-axis, and Z-axis are mutually perpendicular to each other.

We can represent a plane in vector form using the following equation. (p — p₀) . n = 0

Let the line is passing through two points on a given plane. Then,  this is the line joining the two points and so all the points lying on this line must also lie on the plane. This clearly tells that the line completely lies on the same plane as the points.

the correct option is Statement C. The line is on the same plane as the points

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Answer:

20

Step-by-step explanation:

5 x 4 = 20

Answer:216

Step-by-step explanation:

Answer:

3 / 5

Step-by-step explanation:

TOA-CAH-SOH are 3 trigonometry ratios. They are:

TOA - tan(theta) = Opposite ÷ Adjacent

CAH - cos(theta) = Adjacent ÷ Hypotenuse

SOH - sin(theta) = Opposite ÷ Hypotenuse

We are finding Cos(A)

Cos(A) = Adjacent ÷ Hypotenuse

= AB ÷ AC

=

[tex] \frac{30}{50} \\ = \frac{3}{5} [/tex]

Therefore Cos(A) = 3 / 5.

Answer:

120

Step-by-step explanation:

Using the theorems of geometry, you know that all angles of a triangle add up to 180º. We can use an equation after looking at both angles, and the total:

30 + 30 + x = 180

60 + x = 180

x = 180 - 60

x = 120

The area for the shaded region is obtained as 2 units.

In order to find the area, first find the intersection points of the two curves. Then, the area of the region can be found by taking the integration from the intersection point.

The curves in the graph in the form of equation are as follows,

y = x² + 3                     (1)

x = (y - 5)² - 2

=> y = √(x+ 2) + 5       (2)  

Part A :

The intersection points of the two curves are (-1.5, 5.5), (-1, 4) and (0.5, 3.5).

Thus, to calculate the area the limit is from x = -1.5 to x = 0.5.

Part B :

The expression of the integral is given as,

[tex]\int\limits^{-1}_{-1.5} {(x^{2} + 3 ) - (5 + \sqrt{x + 2} )} \, dx + \int\limits^{0.5}_{-1} {(5 + \sqrt{x + 2} ) -(x^{2} + 3 ) } \, dx[/tex]

Part C :

The area is found by evaluating the integral as follows,

[tex]\int\limits^{-1}_{-1.5} {(x^{2} + 3 ) - (5 + \sqrt{x + 2} )} \, dx + \int\limits^{0.5}_{-1} {(5 + \sqrt{x + 2} ) -(x^{2} + 3 ) } \, dx[/tex]

= [-1/3 + 3.375/3 + 3(-1 - (-1.5))] - [5(-1 - (-1.5)) + 2/3([tex]1^{3/2} - 0.5^{3/2}[/tex])] + [5(0.5 - (-1)) -(0.125/3 + 1/3 + 3(0.5 - (-1))]

= 2.291 - [2.5 + 2/3 × 0.647] + [5 × 1.5 - 4.8716]

= 2.291 - 2.927 + 2.6284

= 1.9924

Which is approximately 2.

Hence, the area between the curves is given as 2 units.

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(A)  The required inequality is,  -40°F  <  x  <  140°F.

(C) The gas has freezing point of -40°F, that means below that temperature the gas will freeze.

What is inequality?

In mathematics, inequalities describe the relationship between two values that are not equal. Equal means to be equal, not. The "not equal symbol (≠)" is typically used to indicate that two values are not equal. But different inequalities are used to compare the values to determine whether they are less than or greater than.

(A) Let the liquid range is from -40°F to 140°F.

Let x be the range.

So, the required inequality is,

-40°F  <  x  <  140°F

(B) The graph of inequality is attached below.

(C) Since the gas has freezing point of -40°F, that means below that temperature the gas will freeze.

(-49°F < 40°F)

Hence, the gas will freeze.

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Answer:

n = -1

Subtract and isolate

To solve this problem, the first thing we have to do is regroup the terms so that we can then subtract, simplify, subtract, and finally simplify again.

But first we must know.

Equations are those mathematical equalities divided between two expressions which are called members and separated by their equal sign, in which known elements and unknown or unknown data appear, related by mathematical operations.

Now we must check our results.

8n -7 = -12 + 3n

8 × - 1 - 7 = -12 + 3 × - 1

- 8 - 7 = - 12 - 3

- 15 = - 12 - 3

- 15 = - 15

So, our results are correct, the answer is n = - 1

¡Hope this helped!

Answer: 2/1

Step-by-step explanation:

You can decide this by looking at the rise over the run.