If the measure of ∠C and ∠T are supplementary and the measure of ∠T is 120º, what is the measure of ∠C?

Answer: 9.2

Step-by-step explanation: You need to subtract Aprils rainfall by March's to get the difference, 11.3-2.1= 9.2

Answer:

10.3923048 m only.....

Answer:

The correct answer is: B. Yes; the other factor is 1 since 1 × 1 = 1.

Step-by-step explanation:

The Kaumajet Factory will allocate $7.20 of factory overhead to each unit of table lamp using the multiple production department factory overhead rate method with an allocation base of direct labor hours.

Two or more expressions with an Equal sign is called as Equation.

Predetermined overhead rate for Finishing Department = $550,000 / 500,000 direct labor hours = $1.10 per direct labor hour

Predetermined overhead rate for Production Department = $400,000 / 80,000 direct labor hours = $5.00 per direct labor hour

For one unit of table lamp, 2 hours of finishing and 1 hour of production are required, so the total direct labor hours for one unit of table lamp is 2 + 1 = 3 hours.

Finishing Department overhead cost per unit of table lamp = 2 hours * $1.10 per direct labor hour = $2.20

Production Department overhead cost per unit of table lamp = 1 hour * $5.00 per direct labor hour = $5.00

Total factory overhead cost per unit of table lamp

$2.20 + $5.00 = $7.20

Therefore, the Kaumajet Factory will allocate $7.20 of factory overhead to each unit of table lamp using the multiple production department factory overhead rate method with an allocation base of direct labor hours.

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The Kaumajet Factory produces two products-table lamps and desk lamps. It has two separate departments - Finishing and Production. The overhead budget for the Finishing Department is $550,000, using 500,000 direct labor hours. The overhead budget for the Production Department is $400,000 using 80,000 direct labor hours.

If the budget estimates that a table lamp will require 2 hours of finishing and 1 hour of production, how much factory overhead will the Kaumajet Factory allocate to each unit of table lamp using the multiple production department factory overhead rate methods with an allocation base of direct labor hours?

a. $4.91

b. $6.33

c. $7.20

d. $5.00

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Answer:  The top right table

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Given: \(\textsf{y = 30 - 3x}\)

Find:  \(\textsf{Match the table of values with the equation}\)

Solution: First we must understand what form our equation is in and what each of the numbers represent.  This form is known as the slope intercept form which is formatted as y = mx + b.  Our equation is slightly re-ordered but we can change that by converting it to y = -3x + 30 where m is equal to -3 and b is equal to 30.  Let us know talk about what m and b are.  M is the slope of the equation or also known as the rise/run or the change in y over the change in x.  B is the y-intercept which is basically the value of y when x is equal to 0.  In this case, our b is equal to 30.

Looking at the tables we can see what the value of y when x is equal to 0 for each table.  The only table that matches up stating that y is equal to 30 when x is 0 is the top right table.

You do not have to go any further but if you want to confirm that the slope is as expected we can do the following:  \(\frac{y_2\ -\ y_1}{x_2\ -\ x_1}\).

Plug in the values and simplify

Therefore, we can confirm that the slope matches up with the given equation as well.  So, the final answer would be that the top right table would correspond to the equation y = 30 - 3x.

Answer:-11 proved

Step-by-step explanation:

5(x+2)-3=4(x-1)

Open brackets

5x+10-3=4x-4

Collect like terms

5x-4x=-4+3-10

x=-11

Answer:

None of the following statements have the same result.

Step-by-step explanation:

1) f(2) when f(x) = 3x + 4

We just have to put x=2

\(f(x)=3x+4\\f(2)=3(2)+4\\f(2)=6+4\\f(2)=10\)

So, f(2) when f(x) = 3x + 4 is x=10

2) f⁻¹ (4)  when f(x) =3x-4/5

We need to find f⁻¹(x) first.

Put \(y=3x-\frac{4}{5}\)

Now solve for x

Add 4/5 on both sides

\(y+\frac{4}{5}=3x-\frac{4}{5}\\y+\frac{4}{5}=3x\\x=\frac{1}{3}y+\frac{4}{5*3}\\x=\frac{1}{3}y+\frac{4}{15}\\x=\frac{5y+4}{15}\)

Now put  f⁻¹(x)  instead of x and replace y with x

\(f^{-1}(x)=\frac{5x+4}{15}\)

Now finding f⁻¹(4)

\(f^{-1}(x)=\frac{5x+4}{15} \\f^{-1}(4)=\frac{5(4)+4}{15} \\f^{-1}(4)=\frac{20+4}{15} \\f^{-1}(4)=\frac{24}{15}\)

f⁻¹ (4)  when f(x) =3x-4/5 is 24/15

3) \(3y - 6 = y + 10\\\)

Solving:

\(3y - 6 = y + 10\\3y-y=10+6\\2y=16\\y=16/2\\y=8\)

Solving 3y − 6 = y + 10, we get y=8

None of the following statements have the same result.

Answer: 30

Step-by-step explanation:

The scale is 1 in : 6 yd. the drawing was 5 inches. Multiply the drawing measurement (5) times the yards cause that’s the measurement you want and you get 30 yards.

Answer:

5^3

Step-by-step explanation:

5*5*5

5 multiplied 3 times is

5^3

Answer:

5 ^ 3

Step-by-step explanation:

Answer:

im pretty sure its b

Step-by-step explanation:

Answer:

its b

Step-by-step explanation:

Answer:

Step-by-step explanation:

i am confused

Answer:

D, a number divided by 7

Answer:

33/16

Step-by-step explanation:

x = y⁴/8 + 1/(4y²), 1 ≤ y ≤ 2

dx/dy = y³/2 − 1/(2y³)

Arc length is:

s = ∫ ds

s = ∫ √(1 + (dx/dy)²) dy

s = ∫₁² √(1 + (y³/2 − 1/(2y³))²) dy

s = ∫₁² √(1 + y⁶/4 − ½ + 1/(4y⁶)) dy

s = ∫₁² √(½ + y⁶/4 + 1/(4y⁶)) dy

s = ∫₁² ½ √(2 + y⁶ + 1/y⁶) dy

s = ∫₁² ½ √(y³ + 1/y³)² dy

s = ∫₁² ½ (y³ + 1/y³) dy

s = ½ (y⁴/4 − 1/(2y²)) |₁²

s = ½ (16/4 − 1/8) − ½ (1/4 − 1/2)

s = 33/16

Height is considered to be on an interval scale.

In the same town, the height of men can be measured using a ratio scale of measurement. A ratio scale is the most informative and precise measurement scale as it possesses all the properties of the other measurement scales: nominal, ordinal, and interval scales.

With a ratio scale, height measurements have a meaningful zero point, which represents the absence of height. Additionally, the scale has equal intervals, allowing for the comparison of the differences in height between individuals accurately.

To measure the height of men in the town, a standard measuring instrument such as a stadiometer or a measuring tape would be used. These tools provide precise measurements in units like centimeters or inches.

By collecting height data from a representative sample of men in the town and calculating various statistical measures such as the mean, median, and standard deviation, it becomes possible to understand the distribution and characteristics of the heights.

It is important to note that height can vary among individuals due to various factors such as genetics, nutrition, and overall health. Therefore, the collected data may exhibit a range of heights, with some individuals being shorter or taller than the average height for men in the town.

Overall, using a ratio scale to measure the height of men in the town provides a comprehensive and precise understanding of their height distribution, enabling researchers and policymakers to analyze and interpret the data effectively.

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Answer:

x =2

Step-by-step explanation:

\( \frac{2 /3}{5} = \frac{x}{15} \\ \\ \frac{2}{3 \times 5} = \frac{x}{15} \\ \\ \frac{2}{15} = \frac{x}{15} \\ \\ 2 = x \\ \\ x = 2\)

Answer:

b. your welcome

The Propositions are resulting

(a) ∀x∃y(x = y²) is False

(b) ∀x∃y(x² = y) is True.

(c) ∃x∀y(xy = 0) is True.

(d) ∀x∃y(x + y = 1) is True.

(a) ∀x∃y(x = y²)

This proposition states that for every x, there exists a y such that x is equal to y². To determine the truth value, we need to check if this statement holds true for every value of x.

If we take any positive value for x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 4, then y = 2 satisfies the equation since 4 = 2². Similarly, if x = 9, then y = 3 satisfies the equation since 9 = 3².

Therefore, the proposition (a) is false.

(b) ∀x∃y(x² = y)

For any given positive or negative value of x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 4, then y = 2 satisfies the equation since 4² = 2. Similarly, if x = -4, then y = -2 satisfies the equation since (-4)² = -2.

Therefore, the proposition (b) is true.

(c) ∃x∀y(xy = 0)

The equation xy = 0 can only be satisfied if x = 0, regardless of the value of y. Therefore, there exists an x (x = 0) that makes the equation true for every y.

Therefore, the proposition (c) is true.

(d) ∀x∃y(x + y = 1)

To determine the truth value, we need to check if this statement holds true for every value of x.

If we take any value of x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 2, then y = -1 satisfies the equation since 2 + (-1) = 1. Similarly, if x = 0, then y = 1 satisfies the equation since 0 + 1 = 1.

Therefore, the proposition (d) is true.

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The sum of integers from 33 to 47 is 600.

So, the sum of integers:

Simply perform addition as follows:

Therefore, the sum of integers from 33 to 47 is 600.

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Answer:

4.9 - 4n

Step-by-step explanation:

Given the expression;

2.4 - 5.5 -4n + 8?

Collect like terms;

2.4 - 5.5 -4n + 8?

2.4 - 5.5 + 8-4n

-3.1 + 8 - 4n

4.9 - 4n

Hence the simplified form of the equation is 4.9 - 4n

Answer:

-26

Step-by-step explanation:

25 is a7. if you subtract 1.7 each time then at 37 the number will be -26.

The value of 37th term of the arithmetic sequence will be;

⇒ - 26

What is Arithmetic sequence?

An arithmetic sequence is the sequence of numbers where each consecutive numbers have same difference.

Given that;

The values are,

⇒ a₇ = 25

And, The common difference is d = -1.7

Now,

Since, The nth term of arithmetic sequence is;

⇒ a(n) = a + (n - 1)d

And, ⇒ a₇ = 25

So, We get;

⇒ a₇ = a + (7 - 1) (- 1.7)

⇒ 25 = a + 6 × - 1.7

⇒ 25 = a - 10.2

⇒ 25 + 10.2 = a

⇒ a = 35.2

So, The 37th term of the arithmetic sequence is;

⇒ a₃₇ = 35.2 + (37 - 1) (- 1.7)

⇒ a₃₇ = 35.2 + 36 × - 1.7

⇒ a₃₇ = 35.2 - 61.2

⇒ a₃₇ = - 26

Thus, The value of 37th term of the arithmetic sequence will be;

⇒ - 26

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Using the cross product for the proff of Pythagoras theorem, the correct step is

By the cross product property, AB² =  BC multiplied by BD

The cross product property is typically used to solve equations with two values, where the product of the extremes (the outer terms) is equal to the product of the means (the inner terms).

For the similar triangles, the ratio is as follows

BD / BA = BA / BC

BA² = BD * BC

and AB = BA, hence

BA² = BD * BC

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Answer:

.6, 6/10, 15/25

Step-by-step explanation:

hope this helps!❄︎

The dimensions of the smaller rectangle are 13 centimeters by 52 centimeters.

Let's assume the dimensions of the smaller rectangle are length L and width W (in centimeters).

We know that the area of the smaller rectangle is 676 square centimeters:

L * W = 676    ----(1)

We also know that the larger rectangle has a shorter side of 41 centimeters. Let's say the corresponding longer side of the larger rectangle is H centimeters.

The area of the larger rectangle is 3457 square centimeters:

41 * H = 3457    ----(2)

Our current set of equations contains two unknowns. In order to get the smaller rectangle's dimensions, we can simultaneously solve these equations.

In order to find H, we can use equation (2):

H = 3457 / 41

H ≈ 84.22

Now we can substitute this value of H into equation (1):

L * W = 676

We need to find the dimensions (L and W) that multiply to give 676. We can start by looking for factors of 676.

Factors of 676: 1, 2, 4, 13, 26, 52, 169, 338, 676

By trial and error, we can see that the factors that give a close match to the dimensions of the larger rectangle (41 and 84.22) are 13 and 52:

L = 13

W = 52

Therefore, the smaller rectangle has measurements of 13 by 52 centimetres.

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Answer:

Width = 8 cm

Length = 48 cm

Step-by-step explanation:

Area of a Rectangle Formula: A = lw

Step 1: Write out expression:

l = 6w

w = w

Step 2: Plug in known variables

384 = 6w(w)

Step 3: Solve for w

385 = 6w²

w² = 64

w = 8

Step 4: Find l

l = 6(8)

l = 48

Answer:

False

Step-by-step explanation:

In an essay, you have to cite every source you use because

a) the teacher needs to KNOW you didn't copy

b) the teacher needs to know if you got your info from a reliable source

c) the teacher needs to see your ability to use info from a source to put into your essay

This may be different for books, but citation is always a rule of thumb for essays in school, so don't forget unless you want points to be taken off of your score.

Answer:

8'8

Step-by-step explanation:

i took the test

The point which cannot be on the graph of y = f(x) as required in the task content is; (-7, 1).

It follows from the task content that the point which cannot be on the graph of y = f(x) is to be determined.

Hence, since it follows from the definition of a functions f(x) that; it is relation which assigns to each value of x only one value of y.

Therefore, the statement above implies that if the point (-7, 0) is on the graph of the function y = f(x), the x-value, -7 can only be assigned one y-value, 0.

Ultimately, an example of a point which cannot be on the graph of y = f(x) is; (-7, 1).

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That is correct.

Sqrt 5 x sqrt20

Apply the radical rule to get sqrt( 5 x 20)

Simplify to get sqrt(100)

Sqrt(100) = 10