After depositing a check from his grandmother for $45, Tim had a balance of $120.63 in his savings account. He then wrote a check to pay for his electric bill. At the end of the week Tim’s final balance was -$150.85. How much money did Tim withdraw?

Hello, the answer should be $178.49.

If Devaughn earns $7.25 an hour at his job, we need to find out how much money he will make if he works for 37 hours.

\(37.(7.25)=268.25\)

Next, we need to subtract the deduction amount from the total amount.

Net Equation will be defined as;

\(N=T-D\)

\(N=(268.25)-(89.76)=178.49\)

Good luck! If you have any questions, then feel free to ask in comments!

1260 different towers can be made with a height of 8 cubes with 2 red cubes, 3 blue cubes and 4 green cubes

There are three cases to consider, each one where a cube of either red, blue or green is left out.

Case 1:

A red cube is left out so the tower will comprise of 4 green cubes, 3 blue cubes and 1 red cube.

Let’s consider the green cubes first. There are 8 possible locations available for the first green cube, leaving 7 possible locations for the second green cube, leaving 6 locations for the third cube and 5 locations for the fourth cube.

Thus, the green cubes can be allocated in 8x7x6x5 ways. However for each particular allocation there are identical alternatives in which the same locations are allocated but the cubes are placed in them in a different sequence.

Thus there are (8x7x6x5)/24 ways that green cubes can be distributed within the tower.

Since the green cubes have been allocated this leaves only four locations to place the three blue cubes, so these can be allocated in 4x3x2 ways, and of these 3! (=6) are identical. So there are (4x3x2)/6 ways that the blue cubes can be distributed within the tower.

If the green and blue cubes have been allocated then there’s only 1 way to distribute the red cube.

Thus, the number of ways the cubes in case 1 can be distributed is:

(8x7x6x5)/24 x (4x3x2)/6 x 1

= 1680/24 x 24/6 x 1

= 70 x 4 x 1 = 280 different ways.

It is important to note  that the order we consider the colors of the cubes is unimportant as the same result would be obtained.

For example, considering the cubes in the order blue, red then green would give the calculation:

(8x7x6)/6 x (5)/1 x (4x3x2x1)/24

= 336/6 x 5/1 x 24/24

= 56 x 5 x 1 = 280]

Case 2:

A blue cube is left out so the tower will comprise of 4 green cubes, 2 blue cubes and 2 red cubes.

By the same logic as applied in case 1, the calculation of the number ways the cubes can be distributed is:

(8x7x6x5)/24 x (4x3)/2 x (2x1)/2

= 1680/24 x 12/2 x 1

= 70 x 6 x 1 = 420 different ways.

Case 3:

A green cube is left out so the tower will comprise of 3 green cubes, 3 blue cubes and 2 red cubes.

Following the same logic again:

(8x7x6)/6 x (5x4x3)/6 x (2x1)/2

= 336/6 x 60/6 x 2/2

= 56 x 10 x 1 = 560 different ways.

Finally, we have enumerated the unique distributions of colored cubes in the three possible cases. The total number of different towers is the sum of different ways the cubes can be distributed in all three cases .

So, 280 + 420 + 560 = 1260 different towers.

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Answer:

The angle is about 30.27 degrees.

Step-by-step explanation:

Use the trig ratio cosine because you are given the adjacent leg and the hypotenuse.

\(cos^{-1} =19/22\)

Plug into a calculator

Rounded to the nearest hundredth the angle is 30.27 degrees.

Answer:

-3/16

Step-by-step explanation:

3/8 x -1/2

3 x -1 = -3 (denominator)

8 x -2 = -16 (numerator)

-3 + -16 = -3/16

Answer:

ans= 36.72 /1- 15/100

= 36.72 * 20/17

= 36.72 * 1.17647 = 43.2

the original price = £43.2

Answer: 31

Step-by-step explanation: 1. Since you need to find the distance between the Y coordinates, find the absolute value of both Y coordinates. (7, 19) = (7, 19) and (7, -12) = (7, 12).

2. Add both Y coordinates. 19 + 12.

3. 19 + 12 = 31. There are 31 units between (7, 19) and (7, -12).

The only two options with equations that are true for x = –2 and x = 2 are;

Option A: x² - 4 = 0

Option D: 4x² = 16

The domain of a function is the set of all input values  for which the function is possible.

Now, we are given the domain values as  x = –2 and x = 2.

a) x² - 4

f(-2) = (-2)² - 4

= 0

f(2) = (2)² - 2

= 0

b) x² = -4

f(-2) = (-2)²

= 4

f(2) = (2)²

= 4

c) 3x² + 12

f(-2) = 3(-2)²  + 12

= 24

f(-2) = 3(2)²  + 12

= 24

d) 4x²

f(-2) = 4(-2)²

= 16

f(2) = 4(2)²

= 16

e) 2(x - 2)²

f(-2) = 2(-2 - 2)²

= 32

f(2) = 2(2 - 2)²

= 0

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Answer:

Step-by-step explanation:

translate

The pair of 1st line is vertical opposite angle and 2nd one is adjacent angles.

What is vertical opposite angle ?

When 2 lines meet one another, then the other angles, shaped thanks to intersection ar known as vertical angles or vertically opposite angles. A try of vertically opposite angles ar continuously adequate to one another. Also, a angle and its adjacent angle are supplementary angles, i.e., they add up to a hundred and eighty degrees.

Main body:

1st pair of line intersect each other , so ∠1 = ∠2 by using vertical opposite angle.

2nd pair of line also intersect each other , so ∠3 ,∠4 are adjacent angles.

Hence ,pair of 1st line is vertical opposite angle and 2nd one is adjacent angles.

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The decimal 1.001510512 when written in words is;

One and one million five hundred ten thousand five hundred and twelve hundred millionths

We can write decimal in words by acknowledging the fact that one part is a whole number while the other part is a fraction. For example;

20.009 in words is; Twenty and nine thousandths

8.406 in words is; Eight and four hundred six thousandths

26.0502 in words is; Twenty-six and five hundred two ten thousandths

6.5904 in words is; Six and five thousand nine hundred four ten thousandths

63.1254 in words is; Sixty-three and one thousand two hundred fifty-four ten thousandths

Thus, we can conclude that the decimal 1.001510512 when written in words is;

One and one million, five hundred ten thousand five hundred and twelve hundred millionths

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To rank the given functions by order of growth and partition them into equivalence classes, we need to compare the growth rates of these functions. Here's the ranking and partition:

1. g6(n) = 2^sqrt(log(n)) - This function has the slowest growth rate among the given functions.

2. g5(n) = n^3/2 - This function grows faster than g6(n) but slower than the remaining functions.

3. g4(n) = n^2 - This function grows faster than g5(n) but slower than the remaining functions.

4. g3(n) = n^2log(n) - This function grows faster than g4(n) but slower than the remaining functions.

5. g2(n) = n^3 - This function grows faster than g3(n) but slower than the remaining function.

6. g1(n) = 2^n - This function has the fastest growth rate among the given functions.
Equivalence classes:

The functions can be partitioned into the following equivalence classes based on their growth rates:

{g6(n)} - Functions with the slowest growth rate.

{g5(n)} - Functions that grow faster than g6(n) but slower than the remaining functions.

{g4(n)} - Functions that grow faster than g5(n) but slower than the remaining functions.

{g3(n)} - Functions that grow faster than g4(n) but slower than the remaining functions.

{g2(n)} - Functions that grow faster than g3(n) but slower than the remaining function.

{g1(n)} - Functions with the fastest growth rate.

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Answer:

13) x=n-11

15) x=3*10

Step-by-step explanation:

I used x as the variable. The questions are pretty straightforward. They are asking you to put the terms in the description on the right side of the equation. The questions = x. That was probably confusing, but it is correct. I hope this helped!

Product of 3 and 10 and12

The most appropriate choice for Probability will be given by-

Probability of rolling a sum of 10 on a standard pair of six sided dice = \(\frac{1}{12}\)

What is probability?

Probability gives us the information about how likely an event is going to occur

Probability is calculated by Number of favourable outcomes divided by the total number of outcomes.

Probality of any event is greater than or equal to zero and less than or equal to 1.

Probability of sure event is 1 and probability of unsure event is 0.

Here,

Total number of outcomes = 36

Favourable outcomes = {(4,6), (5,5), (6,4)}

Number of favourable outcomes = 3

Probability of rolling a sum of 10 on a standard pair of six sided dice = \(\frac{3}{36}\)

                                                                                                                  = \(\frac{1}{12}\)

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By using the formula for sample size with a 95% confidence interval and a proportion of 0.6 we find that bound of 0.08 on the error of estimation, the industry should sample at least 558 plants.

In Exercise 8.8, the sample size was 2500, and the proportion of employees in favor of the policy was 0.64. We need to estimate the sample size required to have a bound of 0.08 on the error of estimation. Using the formula for the margin of error, we get:

ME = z * sqrt(p * q / n)

0.08 = z * sqrt(0.64 * 0.36 / n)

Assuming a 95% confidence interval, we have z = 1.96. Solving for n, we get:

n = (z / ME)^2 * p * q

n = (1.96 / 0.08)^2 * 0.64 * 0.36

n ≈ 558. So, we need to sample at least 558 plants to have a bound of 0.08 on the error of estimation.

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im stuck on the same problem

The measure of QR, from the triangle TRQ is 16 units.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

Given that, triangle PML is similar to triangle TRQ.

From the given triangles.

ML/QR =PM/TR

(7x-9)/(2x+2) = 35/14

(7x-9)/(2x+2) = 5/2

2(7x-9)=5(2x+2)

14x-18=10x+10

4x=28

x=7

Then, QR=2x+2=16 units

Therefore, the measure of QR is 16 units.

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Answer:

8 pounds

Step-by-step explanation:

x represents the starting amount

5 = 3x/8 + x/4

40 = 3x + 2x     multiply both sides by LCD, 8

40 = 5x

x=8

Answer:

52 is the correct answer :)

Answer:

Here’s the answer! Best of luck.

Step-by-step explanation:

Answer:

95 square meters

Step-by-step explanation:

I am answering this question assuming 19 is the base because it is the longest side on the triangle. (there is no picture provided)

The formula for area of triangle is base * height * 1/2

So 19 * 10 *1/2 is 95.

Answer:

They are the same number.

Step-by-step explanation:

3/5= 0.6. So they are the same

Answer:

-11-10=-21

-21-9= -30

To obtain the surface area of a triangular prism, the formula to employ is:

From the image, a=18in, b=21in, c =15in and h=12in

We have to obtain the value of 's' first, from the equation:

The final step is to obtain the area of the triangular, having gotten the values needed to be inputted in the formula;

Hence, the surface area of the triangular prism is 912.54 square inches

To calculate the arc length of a circle, you need to use the formula: arc length = (central angle in radians) x (radius)

where the central angle is measured in radians and the radius is the distance from the center of the circle to the edge. To use this formula, first convert the central angle from degrees to radians by multiplying it by π/180. Then, multiply the result by the radius to find the arc length. For example, if you have a circle with a radius of 5 units and a central angle of 45 degrees, you can calculate the arc length as follows: Convert the central angle to radians: 45 x π/180 = 0.7854 radians. Multiply the central angle in radians by the radius: 0.7854 x 5 = 3.927 unit. Therefore, the arc length of a circle with a radius of 5 units and a central angle of 45 degrees is 3.927 units.

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Answer:

c

Step-by-step explanation:

(a) A regular 16- gon is a convex polygon ← True

(b) It has 16 congruent sides ← True

(c)

the sum of the interior angles of a regular polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 16 , then

sum = 180° × 14 = 2520°

thus 2880° is False

(d)

the sum of the exterior angles of any polygon = 360° ← True

Answer:

Around 0.22 dollars or 22 cents

Step-by-step explanation:

We know that per 16 ounces it costs 3.58. We want the ounces to equal zero. To do that, we divide 16 by 0, but to keep it equal we need to divide 3.58 by 16. So...

16/16 = 1

3.58/16 = 0.22375

This means that every ounce of cereal, it costs 0.22375 dollars, but money can't go in the thousandths place, so we must round it to the hundredths place, which becomes 0.22 dollars, or 22 cents. I hope this helps and I hope it's not wrong but I don't think it is.

The poll  indicates that 95% of the respondents support raising fees to increase funding for student organizations. However, further analysis reveals that a significant portion of the votes, 3200 out of 5000, were cast from a single off-campus computer owned by a member of the student organization that conducted the poll.

The poll initially suggests strong support for raising fees based on the reported 95% in favor. However, the credibility of the results is compromised by the fact that a substantial number of votes, 3200 out of 5000, were cast from a single off-campus computer associated with a member of the student organization responsible for the poll. This raises concerns about the objectivity and integrity of the voting process. The concentration of votes from a single source suggests a potential bias or manipulation, calling into question the representativeness of the poll's findings. Therefore, while the reported result shows a majority in favor of raising fees, it is essential to interpret it with caution due to the significant influence of a single source on the outcome.

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Answer:

if you play 3 games and the total cost equals to 42
then just do 42 divided by 3 which is 14 so that should be your answer!

Step-by-step explanation:

im very sorry if i get it wrong im only trying to help
so i hope its correct

Answer:

  C.  142°

Step-by-step explanation:

You want the angle between vectors u=3i+√3j and v=-2i-5j.

There are a number of ways the angle between the vectors can be found. For example, the dot-product relation can give you the cosine of the angle:

  u•v = |u|·|v|·cos(θ) . . . . . . where θ is the angle of interest

You can find the angles of the vectors individually, and subtract those:

  u = |u|∠α

  v = |v|∠β

  θ = α - β

When the vectors are expressed as complex numbers, the angle between them is the angle of their quotient:

  \(\dfrac{\vec{u}}{\vec{v}}=\dfrac{|\vec{u}|\angle\alpha}{|\vec{v}|\angle\beta}=\dfrac{|\vec{u}|}{|\vec{v}|}\angle(\alpha-\beta)=\dfrac{|\vec{u}|}{|\vec{v}|}\angle\theta\)

This method is used in the calculation shown in the first attachment. The angle between u and v is about 142°.

A graphing program can draw the vectors and measure the angle between them. This is shown in the second attachment.

__

Additional comment

The approach using the quotient of the vectors written as complex numbers is simply computed using a calculator with appropriate complex number functions. There doesn't seem to be any 3D equivalent.

The dot-product relation will work with 3D vectors as well as 2D vectors.

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Option B and option C are true when the blank is filled with the number 16.

What is an equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions written on the left and right sides. We have LHS = RHS (left-hand side = right-hand side) in every mathematical equation. To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. A statement is not an equation if it contains no "equal to" symbol. It will be regarded as a phrase.

Given options are

A)  8(___ + 3) = 32 + 24

B)  8(2 + 9) = ___ + 72

C) 4(7 + 4) = 28 + ___

D) 8(5 + 6) = 40 + ___

Putting 16 in the blank space:

8(16 + 3) = 32 + 24

8×19 = 56

152 = 56 (False)

Putting 16 in the blank space:

8(2 + 9) = 16 + 72

8×11 = 88

88 = 88 (True)

Putting 16 in the blank space:

4(7 + 4) = 28 + 16

4×11 = 44

44 = 44 (True)

Putting 16 in the blank space:

8(5 + 6) = 40 + 16

8×11 = 56

88 = 56 (False)

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Answer:

quadrant lll

Step-by-step explanation:

it is when the y axis and x axis are negative