Avery paid an electrician x dollars per hour for a 4-hour job and $85 for parts. The total charge was $305. Which equation can be used to determine how much the electrician charged per hour

Answer:

I think It is D

Answer:

It's D.

Step-by-step explanation:

I'm pretty sure about the answer.thank u

The answer is cos(B/2) = 2√5 / 5

Half angle formula of cosine: cos B/2 = ±√[(1 + cos B) / 2]

Given: The positive value of cos 1/2 B in the simplest radical form with a rational denominator, if cos B = 3/5:

Regarding applying the cosine half-angle formula:

cos²(B/2) = (1 + cos B) / 2

put value of cos B =3/5 (given)

cos²(B/2) = (1 + 3/5) / 2

on simplifying

cos²(B/2) = (8/5) / 2

cos²(B/2) = 4/5

on taking under root we get

cos(B/2) = 2/√5

use a rational denominator and the simplest radical form hence, cos(B/2) = 2√5 / 5

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Answer:

32 6th graders play a sport

Step-by-step explanation:

128÷4=32

Answer: 113

Step-by-step explanation:

128-15=113 bcs 1/4 is 15 I hope this is right

Answer:

We need more info

Step-by-step explanation:.

The ogive is a line graph that plots the cumulative relative frequency distribution.

An ogive, also known as a cumulative frequency polygon, is a line graph that shows the cumulative frequency distribution of a data set. The cumulative frequency is calculated by adding up the frequencies of each value up to a certain point in the data set.

The cumulative relative frequency is calculated by dividing the cumulative frequency by the total number of observations in the data set. The ogive plots these cumulative relative frequencies against the corresponding values in the data set, usually on the x-axis.

By plotting the cumulative relative frequencies, the ogive shows how the data is distributed over the entire range of values. It can be used to identify patterns in the data, such as whether it is skewed or symmetrical. It is also useful for determining percentiles, as the percentile for a given value can be read directly from the ogive.

Overall, the ogive is a helpful tool for summarizing and visualizing the distribution of a data set, particularly when dealing with large data sets or complex distributions.

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Answer:

B

Step-by-step explanation:

The value of x is 4.47 units

In the given figure, there are two right angle triangle, to find the value of x we have to solve each triangle using the Pythagorean theorem.

Consider the bottom triangle

Base of the triangle = 6 units

The hypotenuse of the triangle = 9 units

Apply the Pythagorean theorem

The third side of the triangle = \(\sqrt{9^2-6^2}\)

= \(\sqrt{81-36}\)

= \(\sqrt{45}\) units

Similarly consider the top triangle

The base of the triangle = 5 units

The hypotenuse of the triangle = \(\sqrt{45}\) units

The third side of the triangle = \(\sqrt{\sqrt{45}^2- 5^2}\)

= \(\sqrt{45-25}\)

= \(\sqrt{20}\)

= 4.47 units

Hence, the value of x is 4.47 units

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1. The initial sale to B. Ltd. is recorded by debiting Accounts Receivable and crediting Sales.

2. The return of goods by B. Ltd. is recorded by debiting Sales Returns and Allowances and crediting Accounts Receivable.

3. The payment for freight on the returned merchandise is recorded by debiting Freight Out and crediting Cash.

4. The receipt of payment from B. Ltd. is recorded by debiting Cash, crediting Sales Discount (2% of $10,000), and crediting Accounts Receivable.

5. The sale of goods to Y. Ltd. is recorded by debiting Accounts Receivable and crediting Sales.

6. The receipt of payment from Y. Ltd. is recorded by debiting Cash, crediting Sales Discount (2% of $15,000), and crediting Accounts Receivable.

To prepare journal entries in the books of A Ltd. using the net method, we need to record the relevant transactions. Here are the journal entries for the given transactions:

1. June 3:

Accounts Receivable - B. Ltd.  $10,000

   Sales                          $10,000

   To record the sale of goods to B. Ltd.

2. June 5:

Sales Returns and Allowances $500

   Accounts Receivable - B. Ltd.   $500

   To record the return of goods by B. Ltd.

3. June 7:

Freight Out                          $20

   Cash                                  $20

   To record the payment for freight on returned merchandise.

4. June 10:

Cash                                      $9,780

   Sales Discount                  $200

   Accounts Receivable - B. Ltd.   $10,000

   To record the receipt of payment from B. Ltd. after deducting the sales discount (2% of $10,000).

5. June 13:

Accounts Receivable - Y. Ltd.  $15,000

   Sales                                     $15,000

   To record the sale of goods to Y. Ltd.

6. June 25:

Cash                                      $14,760

   Sales Discount                  $240

   Accounts Receivable - Y. Ltd.  $15,000

   To record the receipt of payment from Y. Ltd. after deducting the sales discount (2% of $15,000).

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To maximize the seating area while using 45π + 60 meters of light strips, the radius of the semicircular stage should be approximately 29π/3 - 5 meters.

To maximize the seating area, we need to determine the dimensions of the rectangular auditorium that will give us the largest possible area while using the given length of light strips.

Let the length of the rectangular auditorium be L, and its width be W.

The seating area consists of the rectangular portion minus the semicircular stage. So, the seating area's length is L - 2r (subtracting the semicircle's diameter) and the seating area's width is W - 2r.

The perimeter of the seating area is the sum of the lengths of its four sides, excluding the semicircular stage. The perimeter is given as 45π + 60 meters.

Perimeter = 2(L - 2r) + 2(W - 2r) + πr = 45π + 60

Simplifying: 2L + 2W - 8r + πr = 45π + 60

Rearranging: 2L + 2W = 8r + 44π + 60

The area of the seating area is given by A = (L - 2r)(W - 2r).

We want to maximize A, so we need to express it in terms of a single variable. Since we have an equation with two variables (L and W), we can rewrite one of the variables in terms of the other.

Rearranging the perimeter equation: 2L + 2W = 8r + 44π + 60

Solving for L: L = (8r + 44π + 60 - 2W) / 2

Substituting L in terms of W into the area equation: A = [(8r + 44π + 60 - 2W) / 2 - 2r] (W - 2r)

Simplifying: A = (4r + 22π + 30 - W) (W - 2r)

Now we have the area equation in terms of a single variable, W. To maximize A, we can take the derivative of A with respect to W, set it equal to zero, and solve for W.

dA/dW = 2(4r + 22π + 30 - W) - (W - 2r) = 0

Solving for W: 8r + 44π + 60 - W = W - 2r

Simplifying: 10r + 44π + 60 = 2W

W = 5r + 22π + 30

Now that we have W in terms of r, we can substitute this expression back into the area equation to get the area in terms of r only.

A = (4r + 22π + 30 - (5r + 22π + 30)) ((5r + 22π + 30) - 2r)

Simplifying: A = (r - 22π) (3r + 22π + 30)

Expanding: A = 3r² + 8rπ + 30r - 66πr - 660π

Now, to find the maximum area, we can take the derivative of A with respect to r, set it equal to zero, and solve for r.

dA/dr = 6r + 8π + 30 - 66π = 0

Simplifying: 6r - 58π + 30 = 0

6r = 58π - 30

r = (58π - 30) / 6

r ≈ 29π/3 - 5

Therefore, to maximize the seating area while using 45π + 60 meters of light strips, the radius of the semicircular stage should be approximately 29π/3 - 5 meters.

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Answer:

slope=3

Step-by-step explanation:

We solve as follows:

Please find attached photograph for your answer.

Angela's use 6 cups of flour and Jaleel's use 19/3 cups of flour.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The graph shows the relationship between the number of cups of flour and the number of cups of sugar in Angela's brownie recipe.

And, The table shows the same relationship for Jaleel's brownie recipe.

Hence, The equation for Angela's brownie recipe is,

Two points on graph are (4, 2) and (2, 1)

⇒ y - 2 = (2 - 1)/ (4 - 2) (x - 4)

⇒ y - 2 = 1/2 (x - 4)

⇒ y - 2 = 1/2x - 2

⇒ y = 1/2x

And, The equation for Jaleel's brownie recipe is,

Two points on graph are (3/2, 1) and (3, 2)

⇒ y - 1 = (2 - 1)/ (3 - 3/2) (x - 4)

⇒ y - 1 = 2/3 (x - 4)

⇒ y - 1 = 2/3x - 8/3

⇒ y = 2/3x - 8/3 + 1

⇒ y = 2/3x - 5/3

So, For Jaleel and Angela buy a 12-cup bag of sugar.

The equation for Angela's brownie recipe is,

⇒ y = 1/2x

⇒ y = 1/2 × 12

⇒ y = 6

The equation for Jaleel's brownie recipe is,

⇒ y = 2/3x - 5/3

⇒ y = 2/3 × 12 - 5/3

⇒ y = 19/3

Thus, Angela's use 6 cups of flour and Jaleel's use 19/3 cups of flour.

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We want to write in decimals the following fraction

To write this as a decimal number, first we need to convert the denominator to a power of 10. We can do that by multiplying both the numerator and denominator by 4.

Now, we just effectuate the division

0.76 is our answer.

Step-by-step explanation:

A sequence is defined recursively using the equation f(n + 1) = f(n) – 8. If f(1) = 100, what is f(6) ?

Since, A sequence is defined recursively using the equation f(n + 1) = f(n) – 8. If f(1) = 100,we have to find the value of f(6).

Consider

f(n+1) = f(n)-8

Let n =1, we get

f(1+1) = f(2) = f(1) - 8 = 100-8 = 92

Let n =2, we get

f(2+1) = f(3) = f(2) - 8 = 92-8 = 84

Let n =3, we get

f(3+1) = f(4) = f(3)-8 = 84 - 8 = 76

Let n =4, we get

f(4+1) = f(5) = f(4)-8 = 76 - 8 = 68

Let n =5, we get

f(5+1) = f(6) = f(5) - 8 = 68-8 = 60

Therefore, the value of f(6) is 60.

Answer: C, 60

Step-by-step explanation: Just took the quiz :)

There are 360 distinct permutations that can be made from the letters of the word STATIC (option A)

Permutation is to select an object and then arrange it and it cares about the order.

To find the number of distinct permutations of a word, we use the formula:

Permutation = n! / (n₁! * n₂! * ... * nₓ!) , where:

n = the total number of letters in the word,

n₁, n₂, ... nₓ = the number of times each distinct letter appears in the word

In the case of the word STATIC, we have:

n = 6 (total number of letters)

n₁ = 2 (the letter "T" appears twice)

n₂ = 1 (the letter "S" appears once)

n₃ = 1 (the letter "A" appears once)

n₄ = 1 (the letter "I" appears once)

n₅ = 1 (the letter "C" appears once)

Plugging these values into the formula, we get:

Permutation = n! / (n₁! * n₂! * n₃! * n₄! * n₅!)

                     = 6! / (2! * 1! * 1! * 1! * 1!)

                     = (6 * 5 * 4 * 3 * 2!) / 2!

                     = 360

Therefore, there are 360 distinct permutations of the word STATIC (option A).

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Step-by-step explanation:

Basically the area of sphere is 4πr² where r is radius whose value is distance from centre to the edge of the given sphere whereas π (pi) whose value is 3.14 or 22/7. It is defined as the ratio between circle's circumference and it's diameter. But are you aware about the area of circle?? Actually that is πr². If you notice carefully you'll find that area of sphere is 4 times the area of circle. So, if you're provided with the area of circle you can simply multiply the value with 4 to get the area of sphere. But if not, then simply plugin the value of radius and pi in 4πr² to find out the area of sphere.

But since the formula is almost same then how they're different? Well the difference between a sphere and a circle is because of two-dimensional and three-dimensional shape. A circle is a two-dimensional flat shape figure whereas a sphere is a three-dimensional shape.

Talking about the unit of sphere. The unit we use is always the same as the units of radius i.e. cm or m. Since, it is the square of the radius in the given formula, then the unit is also the square of the units, or cm² or m².

The formula is given by

\(\\ \rm\hookrightarrow Area=\pi r^2\)

Answer:

y = 5x + 3

Step-by-step explanation:

Y = mx + b

find the rise/run

in this case \(\frac{10}{2}\) or 5

find b or the y intercept

in this case 3

Hope this helps!

\(3\cos x=5\tan x\\\\3\cos x=5\cdot\dfrac{\sin x}{\cos x}\\\\3\cos^2 x=5\sin x\\\\3(1-\sin^2x)=5\sin x\\\\-3\sin^2x-5\sin x+3=0\\\\t=\sin x\qquad\qqaud t\in<-1, 1>\\\\-3t^2-5t+3=0\\\\3t^2+5t-3=0\quad\implies\quad a=3\,,\ b=5\,,\ c=-3\\\\t=\dfrac{-5\pm\sqrt{5^2-4\cdot3\cdot(-3)}}{2\cdot3}=\dfrac{-5\pm\sqrt{25+36}}{6}=\dfrac{-5\pm\sqrt{61}}{6}\\\\t_1=\dfrac{-5+\sqrt{61}}{6}\approx0.4684\ ,\qquad t_2=\dfrac{-5-\sqrt{61}}{6}\approx-2.136\notin<-1,\,1>\)

\(\sin x=0.4684\quad\wedge\quad x\in(0^o,\ 360^o)\\\\x\approx28^o\qquad\qquad\vee\qquad x\approx152^o\\\\\\\sin x=0.4684\quad\wedge\quad x\in(0,\ 2\pi)\\\\x\approx0.4887\qquad\qquad\vee\qquad x\approx2.6529\)

The decimal equivalent to the fraction of friends who vote for kiwi is 0.111.

In the given scenario, nine friends have voted on their favorite fruit, and only one person in the group voted for kiwi. We are tasked with finding the decimal equivalent of the fraction representing the friends who voted for kiwi.

To determine the decimal equivalent, we need to calculate the fraction and then convert it into decimal form. In this case, the fraction representing the friends who voted for kiwi is 1 out of 9, or 1/9.

To convert this fraction into a decimal, we divide the numerator (1) by the denominator (9):

1 ÷ 9 = 0.1111...

The decimal representation of 1/9 is 0.1111..., where the digit 1 repeats infinitely.

The decimal 0.1111... is an example of a recurring decimal, which means it repeats the same pattern of digits indefinitely. In this case, the digit 1 repeats endlessly. When we write it in decimal form, we typically use the ellipsis (...) to indicate the recurring pattern.

Therefore, the decimal equivalent to the fraction of friends who voted for kiwi is 0.1111..., where the digit 1 repeats indefinitely.

It is important to note that when working with decimals, we can approximate recurring decimals by rounding to a certain number of decimal places. However, in this case, since the pattern of 1s repeats indefinitely, it cannot be precisely represented in a finite number of decimal places.

In summary, the decimal equivalent of the fraction representing the friends who voted for kiwi is 0.1111..., where the digit 1 repeats indefinitely.

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Answer: 3a - 7

Step-by-step explanation:

(-4a - 3) + (7a - 4)

Combine like terms

-4a + 7a - 3 - 4

3a - 7

Hope this helped!

7 a -4 =30

Move all terms not containing  

a

to the right side of the equation.

Tap for more steps...

7

a = 34

Divide each term by  

7

and simplify.

Tap for more steps...

a = 34 7

The result can be shown in multiple forms.

Exact Form:

a = 34 7

Decimal Form:

a = 4. 857142

Mixed Number Form:

a

=

4  6/ 7

9514 1404 393

Answer:

  M = 141°, N = 39°

Step-by-step explanation:

Supplementary angles have a total measure of 180°, so ...

  M + N = 180

  (6x +3) +(2x -7) = 180

  8x = 184 . . . . . add 4, simplify

  x = 23 . . . . . . . divide by 8

∠M = 6·23 +3 = 141°

∠N = 2·23 -7 = 39°

Answer:

  y ≈ 60.6 units

Step-by-step explanation:

Given a triangle with angles 18° and 117°, and sides 21 opposite 18° and y opposite 117°, you want to know the value of y.

The law of sines tells you the ratios of side length to the sine of the opposite angle are the same for all side/angle pairs in the triangle.

  y/sin(117°) = 21/sin(18°)

  y = 21·sin(117°)/sin(18°) ≈ 60.55

The value of y is about 60.6 units.

Answer:

Step-by-step explanation:

Answer:

question.4.

answer . b

question. 5

answer . 7m and -2m

Answer:

Step-by-step explanation:

by definition :It's exponential growth when the base of our exponential is bigger than 1, which means those numbers get bigger. It's exponential decay when the base of our exponential is in between 1 and 0 and those numbers get smaller.

example:  exponential growth

y=2^x

exponential decay

y=(1/2)^x

Answer:

The answer woupd be B, 1, 0

The dairy is at x = 1 unit and;y = 0 unit thus the coordinate of dairy in the floor plan is at (1,0) thus option (B) will be correct.

A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane. typically expressed by the x-value and y-value pairs (x,y).

As per the given floor plan,

Th coordinate of dairy is the horizontal and vertical distinctions from the reference axes(0,0).

Since it is 1 unit apart in the x and 0 apart in the y direction.

Thus (1,0) is the right coordinate.

Hence "The dairy is at x = 1 unit and;y = 0 unit thus the coordinate of dairy in the floor plan is at (1,0)".

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Answer:

i think it would be 25

Step-by-step explanation:

cause, 400÷ 80+ 20 is 25

but i might be wrong

The result of the each of the following set is

A ∪ B = {1, 3, 5, 6, 7, 9}

A ∩ B = {3, 9}

A ∪ C = {1, 2, 3, 4, 5, 6, 7, 8, 9}

A ∩ C = {∅}

A - B = {1, 5, 7}

B - A = {6}

B U C = {2, 3, 5, 6, 8, 9 }

B ∩ C = {6}

The given values are

A = {1, 3, 5, 7, 9}

B = {3, 6, 9}

C = {2, 4, 6, 8}

Then find the each given terms in set roaster notation

Union of the set, intersection of the set  and the difference of the set are the basic operations of set

A ∪ B = {1, 3, 5, 6, 7, 9}

A ∩ B = {3, 9}

A ∪ C = {1, 2, 3, 4, 5, 6, 7, 8, 9}

A ∩ C = {∅}

A - B = {1, 5, 7}

B - A = {6}

B U C = {2, 3, 5, 6, 8, 9 }

B ∩ C = {6}

Therefore, all the given terms has been found

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