A contractor purchases 3 dozen pairs of padded work gloves for ​$42.48. He incorrectly calculates the unit price as ​$14.16 per pair for the expense report. What is the correct unit​ price? What is the​ error?

Answer:

C

Step-by-step explanation:

Answer:

hi!! i’m pretty sure it’s c or d. if i was taking it o would go with c

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

Here's the completed table and the graph:

x  h(x)

-90°  1.0

-75°  -0.5

-60°  -1.0

-45° -0.0

-30° 1.0

-15° 0.5

0° 1.0

15° 0.5

30° -0.0

45° -1.0

60° -0.5

75° 1.0

90° 1.0

In mathematics, a function is a relation between a set of inputs and a set of possible outputs, with the property that each input is related to exactly one output. Functions are often represented as a set of ordered pairs, where the first element of each pair is an input and the second element is the corresponding output. Functions are a fundamental concept in many areas of mathematics and have many real-world applications, including in science, engineering, and economics.

Here,

To calculate the values of h(c) in the table, we plug in the given values of x into the function h(c) = cos 2x and evaluate. For example, to find h(c) when x = -75°:

h(c) = cos 2x

h(c) = cos 2(-75°) (substitute -75° for x)

h(c) = cos (-150°) (simplify using the double angle identity)

h(c) = -0.5 (evaluate using the unit circle or a calculator)

We repeat this process for each value of x to fill out the table.

To graph the function h(x) = cos 2x, we plot each point from the table on the given system of axes. The x-axis represents the angle x in degrees, and the y-axis represents the value of h(x) = cos 2x. We then connect the points with a smooth curve to obtain the graph.

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The  volume of rectangular prism is 90 unit³.

We can consider the 1 block = 1 unit.

Length of prism = 5 unit

width of prism = 6 unit

Height of prism = 3 unit

So, Volume of rectangular prism

= l w h

= 5 x 6 x 3

= 90 unit³

Thus, the volume of rectangular prism is 90 unit³.

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The value of the equation f(x) = 2.5x - 10.5 and g(x) = 64(0.5x) are calculated as x = 2: f(x) = 2.5(2) - 10.5 = -5.5 and g(x) = 64(0.5(2)) = 64.

The substitution method is a quick and easy way to identify the variables' solutions to a set of linear equations. It entails, as the name implies, determining the value of the x-variable in terms of the y-variable from the first equation, and then substituting or replacing the value of the x-variable in the second equation. So, we may solve the equation and determine the value of the y-variable. Finally, we can use any of the above equations with the value of y to determine x. It is also possible to solve for x first, then for y, in the opposite order.

The given equation are f(x) = 2.5x - 10.5 and g(x) = 64(0.5x).

Substituting the value of x we have the value in the table as follows:

x = 2:

f(x) = 2.5(2) - 10.5 and g(x) = 64(0.5(2))

f(x) = -5.5                     g(x) = 64

For x = 3:

f(x) = 2.5(3) - 10.5 and g(x) = 64(0.5(3))

f(x) = -3                         g(x) = 96

For x = 4:

f(x) = 2.5(4) - 10.5 and g(x) = 64(0.5(4))

f(x) = -0.5                     g(x) = 128

For x = 5:

f(x) = 2.5(5) - 10.5 and g(x) = 64(0.5(5))

f(x) = 2                          g(x) = 160

For x = 6:

f(x) = 2.5(6) - 10.5 and g(x) = 64(0.5(6))

f(x) = 4.5                       g(x) = 192

Hence, the value of the equation f(x) = 2.5x - 10.5 and g(x) = 64(0.5x) are calculated as x = 2: f(x) = 2.5(2) - 10.5 = -5.5 and g(x) = 64(0.5(2)) = 64.

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The recursive sequence that represents the sequence defined by the following explicit formula is given as follows:

A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number called the common ratio q.

The explicit formula of the sequence is given as follows:

\(a_n = a_1q^{n-1}\)

In which \(a_1\) is the first term.

The first term and the common ratio for this problem is given as follows:

\(a_1 = -32, q = -\frac{1}{4}\)

The common ratio means that each term is the previous term multiplied by -1/4, hence the recursive formula is given as follows:

\(a_{n + 1} = -\frac{1}{4}a_n\)

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Answer:

The length of s is 5.1 inches to the nearest tenth of an inch

Step-by-step explanation:

In Δ RST

∵ t is the opposite side to ∠T

∵ r is the opposite side to ∠R

∵ s is the opposite side to ∠S

→ To find s let us use the cosine rule

∴ s² = t² + r² - 2 × t × r × cos∠S

∵ t = 4.1 inches, r = 7.1 inches, and m∠S = 45°

→ Substitute them in the rule above

∴ s² = (4.1)² + (7.1)² - 2 × 4.1 × 7.1 × cos(45°)

∴ s² = 16.81 + 50.41 - 41.1677568

∴ s² = 26.0522432

→ Take √ for both sides

∴ s = 5.10413981

→ Round it to the nearest tenth

∴ s = 5.1 inches

∴ The length of s is 5.1 inches to the nearest tenth of an inch

Answer:

5.1

Step-by-step explanation:

delta math

Answer:

first u find a common denominator for all of them and then add them all together

Step-by-step explanation:

I really do hope this helps!!!

Answer:

35.61

Step-by-step explanation:

Add 10 +2+16+5= 33

Then add 5/8+7/8= 1.5

Then add 8/9+2/9= 1.1

Then add 33+1.5+1.1= 35.61

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If his employer pays 60% of the cost. The annual premium amount for Jonathan's group health insurance is $2,550.

Annual premium can simply be defined as the premium a person is expected to pay per year or annually.

First step is to find the cost

Cost = $85/ (1-.60)

Cost = $85/.40

Cost = $212.5

Now let find the annual premium amount

Annual premium amount = Cost × 12 months

Annual premium amount = $212.5 × 12 months

Annual premium amount = $2,550

Therefore the annual premium amount  is the amount of $2,550.

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Answer:

a = 27

b = 81

Step-by-step explanation:

3^{3} = 27

3^{4} = 81

The slope is the rate at which Sarah charges per item which is 2.75

Hope that helps!

When a \(50\)-foot mast throws a \(10\) foot shadow, the angles of elevation of a sun is \(5\).

The elevation angle is the angle created when an item is viewed from above its height in relation to eye level or a horizontal line.

The angle from the ground upward to an item is referred to as the angle of elevation. The line of sight of an observer would rise above the horizontal. An angle from of the horizontal downwards to an item is referred to as the "angle of depression." The line of sight of an observer will be below the horizon.

Given that,

\(Perpendicular = 50 ft\)

\(Base = 10 ft\)

We must ascertain the sun's elevation angle. Trigonometry may be used to compute it as follows:

\(tan\)θ= \(\frac{P}{B}\)

\(tan\)θ= \(\frac{50}{10}\)

θ= \(5\)

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Answer:

C) g(x) =  |x+4|+2

The new function  g(x) =  |x+4|+2

Step-by-step explanation:

Given that the parent function f(x) = |x|

The function shifts '4' units left then the function transformed to

g(x) = |x+4|

Again the function shift '2' units up then the function transformed to

g(x) = |x+4|+2

Final answer:-

The new function g(x) =  |x+4|+2

The inverse of the function f(x) = 1/x is B. f⁻¹(x) = 1/x

The inverse of a function f(x) written as f⁻¹(x) is such that ff⁻¹(x) = f⁻¹f(x)

Given the function f(x) = 1/x,we desire to find its inverse. We proceed as follows.

Since f(x) = 1/x

Let f(x) = y

So,we have that

y = 1/x

Now, multiplying both sides by x,we have that

x × y = 1/x × x

xy = 1

Dividing though by y, we have that

xy/y = 1/y

x = 1/y

Now, relacing y with x and x with f⁻¹(x), the inverse of f(x), we have that

x = 1/y

x = 1

f⁻¹(x) = 1/x

So, the inverse is B. f⁻¹(x) = 1/x

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Answer:

The letter "x" is often used in algebra to mean an unknown value. It is often called a "variable".

Example:

In x + 5 = 12, x is a variable, but we can work out its value if we try!

Answer:

12000 meters

Step-by-step explanation:

Answer:

12,000 m

Step-by-step explanation:

1 km = 1000 m

12 km = 12 * 1 km = 12 * 1000 m = 12,000 m

XY = 30, XZ = 24, JQ = 8

From the given diagram we can see that;

XJ = JY

So,

XJ = JY = XY/2

XJ = JY = 30/2 = 15

Here, Point Q is the centroid of the ∆XYZ, which means that XQ = QZ = QY will be the radius of the circumscribed circle.

Since,

We know JQ and XJ, let us consider triangle XJQ.

By Using Pythagoras Theorem;

(XQ)² = (XJ)² + (JQ)²

(XQ)² = (15)² + (8)²

(XQ)² = 225 + 64

(XQ)² = 289 +

XQ = √289

XQ = 17

Thus, The radius of the circumscribed circle of ∆XYZ is 17

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The mathematical function that models Autumn's situation of saving $500 that she keeps at home and does not add to the savings is G(x) = 500 + 0x.

A mathematical function is an equation, expression, rule, or law defining the relationship between the independent variable and the dependent variable.

There are many types of mathematical function, including:

The amount that Autumn saved = $500

The amount that Autumn adds to the savings = $0

Let the number of periods that Autumn saves the above amount = x

G(x) = 500 + 0x

Thus, based on the linear function above, the amount that Autumn saved would remain $500 after many periods.

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Answer:

84 bih

Step-by-step explanation:

Answer and Explanation:

The Pareto chart is used in descriptive statistics and shows graphically the most frequent occurencies(complaints in this case) using bars and lines.

Please find attached

Answer:

Terry has 1500 sweets.

Step-by-step explanation:

This question is solved using a system of equations.

I am going to say that:

x is the number of sweets Terry has.

y is the number of sweets Alex has.

If Terry gives 30% of his sweets to Alex,they will have the same number of sweets.

This means that:

\((1 - 0.3)x = y + 0.3x\)

\(0.7x = y + 0.3x\)

\(y = 0.4x\)

If Terry gives 750 of his sweets to Alex,then Alex will have 80% more sweets than Terry.

This means that:

\(y + 750 = 1.8(x-750)\)

We want to find x, and since \(y = 0.4x\)

\(y + 750 = 1.8x - 1350\)

\(0.4x + 750 = 1.8x - 1350\)

\(1.4x = 2100\)

\(x = \frac{2100}{1.4}\)

\(x = 1500\)

Terry has 1500 sweets.

The equation of the function is f"(x) = 2x^2 - 3

The parent function is given as:

f(x) = x^4

When it is stretched vertically by a factor of 2, the rule is

f'(x) = 2f(x)

So, we have

f'(x) = 2x^2

When shifted down 3 spaces, the rule is

f"(x) = f'(x) - 3

So, we have:

f"(x) = 2x^2 - 3

Hence, the equation of the function is f"(x) = 2x^2 - 3

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16=48x-6y

swap the sides of the equation

48x-6y=16

Divide both sides of the equation by 2

24x-3y=8

now we do the same only different way ok

48x-6y=16

Divide both sides of the equation by 2

(48x-6y)÷2=16÷2

Distribute 2 through the parentheses

48x÷2-6y÷2=16÷2

calculate the quotient

48x÷2-6y÷2=8

calculate the quotient

24x-6y÷2=8

calculate the quotient

Answer: 24x-3y=8

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Answer:

A) 12 inches by 20 inches

Step-by-step explanation:

Dilation of a scale factor means to increase by a factor of 4.
That basically mean multiply the object by 4.

Therefore 3 inches x 4 = 12 inches

And 5 inches x 4 = 20

The image shows that both angles are complementary, which means that together they form a right angle.

So if you add them, the result must be 90º

From this expression, you can determine the value of x.

First, you have to pass 35 to the right side of the expression by using the opposite operation to both si