The movie starts at 3:15 p.m. and ends at 5:08 p.m. How long is the movie?

Answer:

The measure of angle F is 78°.

Answer:

uhhhhhhh you have to figure out what x is then choose wether it is the other variable a dependent variable, and explanatory variable, or a response variable

Step-by-step explanation:

easy as that

Answer:

L-13 in, W-8 in

Step-by-step explanation:

42 = 2x + 2(x+5)

42 = 2x +2x + 10

32 = 4x

8 = x

W = x         W = 8

L = x + 5     L = 13

Perimeter = 8 + 8 + 13 + 13 = 42

Answer:

Step-by-step explanation:

perimeter of a rectangle (P) = 2L + 2W

where;

P = 42 in.  

Length (L) = 5 + W

Width (W) = ?

Find:

length (L) of the rectangle

solution:

P = 2L + 2W

42 = 2(5 + W) + 2W

42 = 10 + 2W + 2W

42 - 10 = 4W

32 = 4W

W = 32/4

W = 8

Length (L) = 5 + W

                 = 5 + 8

                 = 13 in

P = 2(13) + 2(8)

  = 42 in

Answer:

see below

Step-by-step explanation:

f(0) = 6/(2*0-3) = -2

f(-3) = 6/(2*-3 -3) =-2/3

Answer:

9.98- 2.53 = 7.45

7.68 + 13.07 = 20.75

100.03 - 16.28 = 83.75

Step-by-step explanation:

 9.98

- 2.53

_____

7.45

  1   1        - Process of carrying 10's

   7.68

+ 13.07

_______

 20.75

0000 13 ⇔ What the number becomes after carrying

↑↑↑↑↑

100.03

- 16.28

______

83.75

Happy New Year!

\(\left(\dfrac{7}{4} \right)^{11} = \dfrac{7^{11}}{4^{11}}\)

Total amount of money in the account will be $456.

Simple interest is an interest charge that borrowers pay lenders for a loan. It is calculated using the principal only and does not include compounding interest.

The formula for simple interest is: Simple Interest = Principal × Rate × Time

Principal (P) is $300

Rate (R) is 6.5%

Time (T) is 8 years.

Simple Interest = $300 × 0.065 × 8

Simple Interest = $156

Total Amount = Principal + Simple Interest

Total Amount = $300 + $156

Total Amount = $456.

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Answer:

The range of the function f(x) :  is y > 0.

The correct option is (A)

Step-by-step explanation:

The definition of range is the set of all possible values that the function will give when we give in the domain as input.

Given function is :

If we draw the graph for this, then we can see that the horizontal asymptote is 0.

So,  the range is real numbers higher than 0.

Hence, the range should be y > 0.

Answer:

9.1

Step-by-step explanation:

cube root of 753.571 is 9.1

Answer:

There are 180 degrees in the 3 angles of a triangle.

Step-by-step explanation:

The length of the arc defined by the central angle of 312 degrees is 26π cm.

The formula for the arc length of a circle is given by:

L = (θ/360) × 2πr

where L is the length of the arc, θ is the central angle in degrees, and r is the radius of the circle.

Substituting the given values, we get:

L = (312/360) × 2π(30)

L = (26/30) × π × 30

L = 26π cm

Therefore, the length of the arc defined by the central angle of 312 degrees is 26π cm.

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Answer: \(y=-\frac{1}{2} x+4\)

Step-by-step explanation:

The given points are (2,3) and (-2,5). To find the equation, we should first find slope. To find slope, we use this formula \(y=\frac{y_2-y_1}{x_2-x_1}\).

\(y=\frac{5-3}{-2-2} =\frac{2}{-4}=-\frac{1}{2}\)

Now that we have the slope, we can plug in one of the points to find the y-intercept.

\(3=-\frac{1}{2} (2)+b\)          [multiply]

\(3=-1+b\)               [add both sides by 1]

\(b=4\)

Now we know the equation is \(y=-\frac{1}{2} x+4\).

Answer:

35,577 employees

Explanation:

Let the total number of employees the company has = x

31.2% of the company's employees = 11,100

Thus:

We solve for x.

The company has 35,577 employees (to the nearest whole number) in total.

Answer: (A) 22.5 mins

Step-by-step explanation:

Given data:

Duration of the match = 90mins.

Number of substitutes = 4.

Solution:

Since Each of the four (4) substitute players alternated equally, simply means each of the 4 players spent an equal amount of time on the football pitch.

= 90mins/4

= 22.5mins.

Each player spent 22.5minutes on the football pitch.

The division of total time distribute the same time for each substitutes player.

The duration for which each substitute player plays the game of football is 22.5 minutes.

Division of total time by the units of division provides the equal time for each unit.

Given information-

A game of football with 11 players lasts for exactly 90 minutes.

Total number of substitutes is 4.

All the players plays for the same length of time.

As there is total number of substitute players are 4 and the total time duration is 4.

Thus for each player to play same length of time, the time should be divided by the number of players. Therefore,

\(t=\dfrac{90}{4} \\t=22.5\)

Hence the duration for which each substitute player plays the game of football is 22.5 minutes.

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Answer:

n*25=t

Step-by-step explanation:

n is the number of bags and 25 is the amount of marbles so we just put it into a simple multiplication function to show how many  marbles would be in n bags.

The final transformation in the given sequence of transformations is; A rotation of 180* around point Z

We are given a Pentagon as WXYZV.

Now, we are told that the original pentagon is translated up to the right to form Pentagon W'X'Y'Z'V'.

Then the newly formed pentagon is rotated about Z' to 180° to form

W'"X'"Y"'Z"'V'.

Thus, the final transformation in the given sequence of transformations is; A rotation of 180* around point Z

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Answer:

D- a rotation 180° about Z

Step-by-step explanation:

The percentage of weights between 493 kg and 681 kg is given as follows:

64.12%.

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The mean and the standard deviation for this problem are given as follows:

\(\mu = 565, \sigma = 100\)

The proportion of of weights between 493 kg and 681 kg is the p-value of Z when X = 681 subtracted by the p-value of Z when X = 493, hence:

X = 681:

Z = (681 - 565)/100

Z = 1.16

Z = 1.16 has a p-value of 0.877.

X = 493:

Z = (493 - 565)/100

Z = -0.72

Z = -0.72 has a p-value of 0.2358.

Hence:

0.8770 - 0.2358 = 0.6412 = 64.12%.

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Answer:

A samira is correct

Step-by-step explanation:

Because she did her own expression right, now she has to solve

Answer:

the answer is c

Step-by-step explanation:

I used a caculator

Answer:

A:(angle) R corresponds to (angle)P’QQ’

D: Side RQ corresponds to side QQ’

Step-by-step explanation:

The two options are:

A:(angle) R corresponds to (angle)P’QQ’

D: Side RQ corresponds to side QQ’

Triangles are said to be congruent if they may be of the equal size and equal form. Two congruent triangles have an equal place and perimeter. All of the aspects and angles of a triangle are equal to the corresponding aspects and angles of its congruent triangle.

If two angles and the blanketed side of 1 triangle are the same as the corresponding angles and the covered aspect of the opposite triangle, then each triangle is congruent. If 3 aspects of one triangle are the same as the corresponding three facets of some other triangle then both triangles are congruent.

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Answer:

17

Step-by-step explanation:

A= 5 B= 3 C=4

Substitute each number to the right letter

4 + (5^2 + 3) -15

Square 5

4 + (25 + 3) -15

Do parentheses first

4 + 28 - 15

32 - 15

Answer = 17

The value of TV for the similar triangles is 25

Similar triangles are the triangles that have corresponding sides in proportion to each other and corresponding angles equal to each other. Similar triangles look the same but the sizes can be different.

Similar triangles are not the same as congruent triangles though.

triangle UXW and UTV are similar since line TV cuts lines UX and UW in the same proportion.

Let UV = p, it means also that WV = P. which means WU = 2p

so since the two triangles are similar, the ratio of their corresponding lengths are equal

meaning,

UV/UW = TV/XW

substituting their values, we have

p/2p = TV/50

by cross multiplying,

2p x TV = 50p

2TV = 50

TV = 50/2 = 25

In conclusion,  the value of TV is half the value of WX = 25

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The expression that is equivalent to \(80^{(1/4}\) * x is \(80^{4/x}\)

To determine the equivalent expression to \(80^{1/4}\) * x, let's analyze each option:

\(80/4^{x}\)

This expression simplifies to \(20^{x}\), but it is not equivalent to the original expression.

Applying the power of a power rule, this expression simplifies to \(80^{x/4}\) , which is not equivalent to the original expression.

\(80/x^{4}\)

This expression can be simplified as \(80^{4 x^{4} }\) , which is not equivalent to the original expression.

Therefore, the expression that is option d.

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factors such as lower material prices, more efficient use of resources, or unforeseen circumstances that reduced the overall cost of the job.  the actual cost is lower than the estimated cost by approximately 15%.

A 15% difference may seem significant, but it is not uncommon for actual costs to deviate from estimates, especially in complex projects where many variables can influence the final outcome.

The estimated cost is $1200, and the actual cost is $1020.

To find the percentage by which the actual cost is lower than the estimated cost, we need to calculate the difference between the two costs and express it as a percentage of the estimated cost:

Actual cost reduction = Estimated cost - Actual cost =  \(1200 - $1020 = $180\)

Percentage reduction = (Actual cost reduction / Estimated cost) x 100% =

\(($180 / $1200) \times 100% \times 15%\)

Therefore, the actual cost is lower than the estimated cost by approximately 15%.

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Answer: (x+3)(x-4)

Step-by-step explanation:

Based on the frequency table given,

a) The minimum number of dogs that could have a mass of more than 26 kg is of: 5.

b) The maximum number of dogs that could have a mass of more than 26 kg is of: 16.

The frequency table displays the number of times each value, or range of values, appears in the data-set.

where 11 weights are between 20 and 30,  and all of the dogs in the interval 20 × 30 have weights less than 26 kg, the lowest number of dogs that might have a mass more than 26 kg is 5.

This  implies that only the dogs in the period 30 x 40 would have a mass greater than 26 kg.

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Oswego’s snowfall rate given the inches of snow and the hours of snow is 2.07 inches / hour.

The rate of snowfall measures how fast snow was falling with respect to time. It is the ratio of the snow and time. The rate can be determined by dividing the total inches of snow by the total time.

Division is the process of grouping a number into equal parts using another number. The sign used to denote division is ÷. Division is one of the basic mathematical operations.

Oswego’s snowfall rate = inches of snow fall / time

31 / 15 = 2.07 inches / hour

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Answer:

Choice c, 3.3

Step-by-step explanation:

To find out the vaule of X, we have to divided -9.24 by 2.8. We have to divided because when X and next to a number, it means to multiply, and the opposite of multiplication is division. To double check to determine whether or not the answer is correct, simply multiply -3.3 by 2.8 and you will get -9.24.

Answer:

4\(y^{\frac{3}{2} }\)

Step-by-step explanation:

using the rule of exponents/ radicals

\(\sqrt[n]{a^{m} }\) = \(a^{\frac{m}{n} }\)

then

4 \(\sqrt{y^{3} }\)

= 4\(y^{\frac{3}{2} }\)