In 2019, the average full-time worker in the U.S. spent 8.5 hours working each workday. This is an increase on the average of 8.1 hours per workday in 2014. What is the percent change from 2014 to 2019? Round the nearest tenth of a percent. Show/Explain your work.

Answer:

Below

Step-by-step explanation:

Two points are given....calculate the slope, m = (y1-y2) / (x1-x2)

                            = ( 3-1) / ( 0 - - 8) = 2/8 = 1/4

Only equation II has slope = 1/4

The model to show the cost of the shirt is x+49.95=79.16. Therefore, the cost of shirt is $29.21.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, Jeremy spent a total of $79.16 on a shirt and one pair of jeans.

Let the cost of shirt be x.

The jeans cost is $49.95

Now, the cost of shirt + the cost of jeans = Total cost

⇒ x+49.95=79.16

⇒ x=79.16-49.95

⇒ x=$29.21

Therefore, the cost of shirt is $29.21.

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The probability that the next respondent questioned would say they plan to vote is 0.59.

What is probability?

The ratio of the number of favorable outcomes to the total number of outcomes of an event is defined as probability.

We know that the probability of an occurrence =the number of favorable outcomes divided by the total number of events.

Given that, 315 respondents stated they planned to vote, while 217 said they did not.

Now, the probability of voting is:

P(voting)=315(315+217)

= 315/532

= 0.59

As a result, the likelihood that the next respondent questioned would say they plan to vote is 0.59.

The probability that the next respondent questioned would say they plan to vote is 0.59.

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The option that represents the function of the graph of the output f(x) which passes through the points (0, 2), (1, 0), (-1, -4), is the option;

f(x) = 2·x - 2

A function is a rule, law, or expression, defining the method by which a value is mapped unto another value.

The points of the graph of f(x) obtained from a similar question online are;

(0, -2), (1, 0), (-1, -4)

The value of the output of the function, f(x), when the input value, x, is 0, f(0), is the same as the constant term.

The coordinates of the point where x = 0 is (0, -2)

Therefore, f(0) = -2

All of the possible functions, have a constant of -2, therefore, f(0) = -2, for all the functions.

At the point (1, 0), we get;

f(1) = 0

The functions that have an output of 0 when the input value, x = 0, are also all the possible functions

However, the function that has an output value of -4 when the input value is (-1) is the function, f(x) = 2·x - 2

The function, f(x) could be is therefore, f(x) = 2·x - 2

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6 ( 7 + 5 ) expression is equivalent to 30+42.

Some of the elements of an equation are coefficients, variables, operators, constants, terms, expressions, and the equal to sign. When creating an equation, the "=" symbol and terms on both sides are a need.

given the data,

Let's say the equation looks like this: A

Currently, A's value is given as

A = 42 + 30 be formula (1)

When we simplify the equation, we obtain

A = 72

The equation (1) can now be factored as follows:

By using the equation's common term, we obtain

A = 6 ( 7 + 5 ) = 72   be equation (2)

So , on simplifying the equation (2) , we get

A = 6 ( 7 + 5 )

A = 6 ( 12 )

A = 72

Therefore , the value of equation A is 72

Hence , the equation can be factorized as 6 ( 7 + 5 )

complete question :

Which expression is equivalent to 42 + 30? (

A.6(36 + 24)

B.7(6 + 30)

C.6(7 + 5)

D.5(37 + 25)

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Answer: e = 9.16

Step-by-step explanation: Although it's not necessary, I would first get rid of the decimals by multiplying both sides of the equation by 100.

That gives is 100e + 5 = 921 which has no decimals.

Now just subtract 5 from each side to get 100e = 916 and

dividing both sides by 100 from here, e = 9.16.

Alvarez received $200,000 which is 40% of the profit.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it. Rather than being expressed as a fraction, a percentage is a piece of a whole expressed as a number between 0 and 100. Nothing is zero percent; everything is 100 percent; half of something is 50 percent; and nothing is zero percent. You divide the part of the whole by the whole and multiply the result by 100 to get the percentage.

Given

Profit $500000

Alvarez owns 40% of the business.

Percentage

500000 × 40%

200000

Alvarez received $200,000 which is 40% of the profit.

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I think

it should be 200 as it's the first common multiple of 20 40 and 25

The function having the factors (x+1), (x-1) and (x-4) is x³-4x²-x+4 = 0

What are factors?

A factor is a number that completely divides another number. To put it another way, if adding two whole numbers results in a product, then the numbers we are adding are factors of the product because the product is divisible by them.

Factors can be found using either division or multiplication. Rules of divisibility can also be applied.

Given, the factors of a function are (x+1), (x-1) and (x-4)

We know that if the factors of a function are (x-a) and (y-b), it would mean that the function is (x-a)(y-b) = 0

Similarly, taking the above factors given in a function, the function would be:

(x+1)(x-1)(x-4)=0

⇒ (x²-1)(x-4)=0

⇒ x³-4x²-x+4 = 0

Hence, the function having the factors (x+1), (x-1) and (x-4) is x³-4x²-x+4 = 0

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Answer:

the answer is g = (7 - 3e) / (4 - 9e)

Step-by-step explanation:

The subject of an equation is the value or values being solved for. An equation typically consists of two parts: an expression on the left side of an equal sign and an expression on the right side of the equal sign.

The given equation subject of equation is 3e + 4g = 7 + 9eg

Subtraction of 9eg from both sides of the equation

3e + 4g - 9eg = 7 + 9eg - 9eg

3e + 4g - 9eg = 7

Subtract 3e on both sides of the equation

3e + 4g - 9eg - 3e = 7 - 3e

4g - 9eg = 7 - 3e

Factorize g on left side of the equation,

g (4 - 9e) = 7 - 3e

Then divide (4 - 9e) on both sides of the equation,

g = (7 - 3e) / (4 - 9e)

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Answer:

-26

Step-by-step explanation:

Answer:191

Step-by-step explanation:

65x2=130

130+61=191

The height of the Goal Post is Perpendicular = 15.76 meters

What is Trigonometry?

Trigonometry is the study of the connections between triangle angles, lengths, and heights. It contains ratios, functions, identities, and formulae for solving issues based on right-angled triangles.

Solution:

We will first find the angle of elevation fro the mirror to the boy

Base / Perpendicular = 1.45 / 1.55 = cotx

Since, there is mirror image the angle of reflection will be the same

Height of the pole will be cotx = 14.75/ Perpendicular

1.45 / 1.55 = 14.75 / Perpendicular

Perpendicular = 15.76 meters

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Answer:

B and C

Step-by-step explanation:

(5⁷)¹¹ = 5⁷⁷

5⁹ × 5² = 5¹¹

Answer:

[tex] {5}^{12} \times {5}^{6} and \: \frac{ {5}^{24} }{ {5}^{6} } \\ option \: b \: and \: c[/tex]

Step-by-step explanation:

[tex] {a}^{b} \times {a}^{c} = {a}^{(b + c)} \\ \frac{ {a}^{b} }{ {a}^{c} } = {a}^{(b - c)} [/tex]

[tex] {5}^{12} \times {5}^{6} = {5}^{(12 + 6} = {5}^{18} \\ \frac{ {5}^{24} }{ {5}^{6} } = {5}^{(24 - 6)} = {5}^{18} [/tex]

The addends 4, _ 37 + 1,28_ is completed so there will be need to regroup to add.

the addends. 4, 837 + 1,287

the sum is 6124

Regrouping refers to rearranging numbers into groups according to place value to assist kids in handling greater numbers.

When performing operations like addition and subtraction on two-digit integers or bigger, regrouping is the process of forming groups of tens. Regrouping refers to the process of performing an operation by rearranging groups in place value.

Using regrouping for the addition problem

addend 4 8 3 7

addend  1 2 8 7

sum                 4

                    1      regrouped to tens column

addend 4 8 3 7

addend  1 2 8 7

sum              2 4

                1         regrouped to hundreds column

addend 4 8 3 7

addend  1 2 8 7

sum           1 2 4

             1              regrouped to thousands column

addend 4 8 3 7

addend  1 2 8 7

sum        6 1 2 4

the sum is 6124

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63.48 percent of the beads on Helen's necklace are blue.

The ratio's numerical value is multiplied by 100 to obtain the percent value.

Given, A new beaded necklace belongs to Helen. 23 white beads and 69 blue beads make up the necklace. Hence,

Total beads in Helen's necklace = 23+69 = 92

percentage of blue beads in the necklace = 69 * 92 /100

percentage of blue beads in the necklace = 63.48

Therefore, The blue beads make up 63.48 percent of Helen's necklace.

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Answer: 3 people

Step-by-step explanation:

1/5 of 30 will give us the number of students.

6

1/2 of 6, will give us the number of people who can use social media.

3 people.

The expression that represent the area of the cabin for rectangular floor plan is 2w² + 5w.

What is the area of rectangular shape?

In essence, the area of a rectangle is equal to the sum of its length and breadth. In contrast, the circumference of a rectangle is equal to the product of its four sides. Consequently, we can say that the area of a rectangle equals the space enclosed by its perimeter.

Given that the length of a cabin is equal to 5 feet more than twice the width.

Assume that the width of the cabin be w.

Then the mathematical expression of twice the width is 2w.

Then the mathematical expression of 5 feet more than twice the width is 2w + 5.The length of the cabin is 2w + 5 feet.

The area of rectangular shape is product of length and width.

The area of the cabin is (2w + 5)w

Apply distributive property:

= 2w × w + 5 × w

= 2w² + 5w

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Answer:

Student C who is paid $290 for 20 hours of work

Step-by-step explanation:

To find the unit rate for each student you put p/h.

Pay/hours, Student A was paid $11.75 each hour

Student B $13.5 each hour

Student C $14.5 each hour

$11.75 x 20 =$235

$13.5 x 20 = $270

$14.5 x 20 = $290

Answer:

To solve this equation, we can divide both sides by 5 to find the value of x:

5x = 12 x = 12/5 x = 2.4

So the temperature decreased by 2.4° every hour.

The probability that extra unleaded gas was requested is 35%.

To find the probability that the next customer requested extra unleaded gas, we need to first find the total probability that any customer requests extra unleaded gas.

Since 35% of customers request extra unleaded gas, the probability that a customer requests it is 35%. Of those customers, 30% fill their tanks, so the probability that a customer requesting extra unleaded gas fills their tank is 30%.

Therefore, the probability that a customer requesting extra unleaded gas fills their tank is (35%) * (30%) = 0.105, or about 10.5%.

This is the probability that the next customer requested extra unleaded gas and fills their tank. To find the probability that the next customer simply requested extra unleaded gas, regardless of whether they fill their tank or not, we need to add the probabilities of them requesting extra unleaded gas and either filling or not filling their tank.

The probability that the next customer requested extra unleaded gas and filled their tank is 0.105, as we calculated above. The probability that the next customer requested extra unleaded gas and did not fill their tank is (35%) * (70%) = 0.245, or about 24.5%.

To find the total probability that the next customer requested extra unleaded gas, we need to add these two probabilities: 0.105 + 0.245 = 0.35, or 35%. This is the probability that the next customer requested extra unleaded gas.

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His present age is 36 years.

Let his present age = x

Given,

2(x − 12) = x +12

2x - 24 = x + 12

2x - x =  12 + 24

x = 36

Therefore, his present age is 36 years.

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Answer:

f(20) = 10

Step-by-step explanation:

(3) Isosceles triangle Theorem

(8) Same side Interior angle Theorem

(2) Triangle sum Theorem

(1) Vertical angle Theorem

(7) Alternate exterior angle Theorem

(5)Corresponding angle Postulate

(6)Alternate exterior angle Theorem

(4) Triangle midsegment Theorem

What is isosceles triangle?

An isosceles triangle in geometry is a triangle with two equal-length sides. It can be stated as having exactly two equal-length sides or at least two equal-length sides, with the latter definition containing the equilateral triangle as an exception.

Isosceles triangle Theorem: A triangle's opposite angles are also congruent if its two sides are.

Same side Interior angle Theorem:

The same side interior angles are additional when two parallel lines are cut by a transversal.

Triangle sum Theorem:

According to the triangle's "angle sum property," a triangle's interior angles add up to 180°.

Vertical angle Theorem:

When two straight lines collide, two sets of linear pairs with identical angles are created.

Alternate exterior angle Theorem:

The alternate interior angles or alternate exterior angles that emerge from cutting two parallel lines by a transversal are congruent.

Corresponding angle Postulate:

The related angles are equivalent if a transversal cuts two parallel lines.

Alternate exterior angle Theorem:

The alternate interior angles or alternate exterior angles that emerge from cutting two parallel lines by a transversal are congruent.

Triangle midsegment Theorem:

The section connecting a triangle's two sides at their midpoints is parallel to and only half as long as the third side.

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Using pythagoras theorem, the values given in the question 9, 40 and 41 represents a right angle triangle

This theorem states that in a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides. The sides of this triangle are named the perpendicular, base and hypotenuse. In this case, the hypotenuse is always longest side, as it is opposite to the angle 90°

Mathematically Pythagoras theorem is given as;

x² = y² + z²

Let's substitute the values into the formula and check if the values are a right angle triangle.

41² = 40² + 9²

1681 = 1600 + 81

1681 = 1681

The values 9, 40, 41 represents a right angle triangle

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A geometric sequence is one where each phrase is obtained by multiplying the term before it by the same number.

The nearest hundredth exists [tex]$\frac{147620}{19683} \\[/tex].

Any sequence in which each term is obtained by multiplying the one before it by the same number is said to be geometric. The common ratio, or r, is its value. Any term in the series can be calculated by taking it and dividing it by the term before it.

Similar to how the name of an arithmetic series denotes that each term is the arithmetic mean of its two neighbors, the name of a geometric series denotes that each term is the geometric mean of its two neighbors.

[tex]$\sum_{n=1}^{10} 5\left(\frac{1}{3}\right)^{n-1}$$[/tex]

Compute the general progression formula of [tex]$5\left(\frac{1}{3}\right)^{n-1}: \quad r=\frac{1}{3}, a_n=5\left(\frac{1}{3}\right)^{n-1}$[/tex]

[tex]$r=\frac{1}{3}, a_n=5\left(\frac{1}{3}\right)^{n-1}$$[/tex]

Geometric sequence sum formula:

[tex]$a_1 \frac{1-r^n}{1-r}$$[/tex]

substitute the values in the above equation, we get

The values be n = 10, [tex]$$a_1=5[/tex] and r = 1 / 3

[tex]$& =5 \cdot \frac{1-\left(\frac{1}{3}\right)^{10}}{1-\frac{1}{3}}[/tex]

simplifying the above equation, we get

[tex]$& 5 \cdot \frac{1-\left(\frac{1}{3}\right)^{10}}{1-\frac{1}{3}}=\frac{147620}{19683} \\[/tex]

The nearest hundredth exists [tex]$\frac{147620}{19683} \\[/tex].

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There are 2024 ways in which the instructor can choose 3 students from a class of 24 students for the field trip.

A combination is a mathematical technique for calculating the number of possible arrangements in a set of items where the order of the selection is unimportant.You can choose the items in any order in combinations.

Permutations and combinations are often confused. In permutations, however, the order of the selected items is critical. For example, the arrangements ab and ba are equal in combinations (considered as one arrangement), but different in permutations.

There is a way you can calculate combinations using a formula. This formula is:

[tex]nC_r = \frac{n! }{ r!(n-r)! }[/tex]

where

n = total no. of items;

r = items selected for the combination;

"!" is the factorial

Given,

Total number of students in class , n = 24

Number of students selected, r = 3

So, the number of ways that 3 students can be selected from 24 students is

[tex]24C_3=\frac{24 !}{3!(24-3) !}\\\\=\frac{24 !}{3!*21 !}\\\\=\frac{3!*24*23*22*21 !}{3!*21 !}\\\\=\frac{24*23*22}{3*2*1}\\\\=2024[/tex]

Hence, the students can be selected in 2024 ways for the field trip.

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Answer: Reduction: 1/3

Step-by-step explanation:

Remember that if you are dilating it to be larger, it will be a whole number. If it is less than one, then it is dilating to be smaller.

Answer: Reduction 1/3.

Step-by-step explanation: When a shape is transformed into a smaller version of the original, it's a reduction. Reductions are less than 1 so the answer I provided above is what you're looking for.

Have a great day! :)

Answer:

Step-by-step explanation: At that point, the patient is to maintain the distance walked during the 10th week. To Find- How far will the patient walk during the 10th week? So, in till tenth week patient will walk 32 km.