1
Select the correct answer.
Which expression is equivalent to the given expression?
(10c6d+5)(2c-5d4)
ОА.
200
d
OB. 20cd
OC.
20
c30020
OD. 20c30d20
Reset
Next
GV
Awnser?

Answer:

161 + 162 + 163 = 486

Step-by-step explanation:

(X) + (X + 1) + (X + 2) = 486

X + X + 1 + X + 2 = 486

3X + 3 = 486

3X + 3 - 3 = 486 - 3

3X = 483

3X/3 = 483/3

X = 161

x/12 + 3 < 7 = x<48 this is the only one i can do because i cant do the others sorry

Step-by-step explanation:

FX=3+5+4+3+5+4

=24

N=6

mean (x)=?

Now,

x=FX÷N

=24÷6

=4

Answer:

d)    \(\frac{13 - 5x}{2x -8}\)    

Step-by-step explanation:

Explanation:-

Given expression

                               \(\frac{\frac{3}{x-2}-5 }{2-\frac{4}{x-2} }\)

we will do L.C.M  both numerator term and denominator term

                     ⇒    \(\frac{\frac{3-5(x-2)}{x-2} }{\frac{2(x-2)-4}{x-2} }\)

on simplification , we get

                ⇒    \(\frac{\frac{13-5x}{x-2} }{\frac{2x-8}{x-2} }\)

cancellation 'x-2'

we will get

          \(\frac{13 - 5x}{2x -8}\)    

Answer:

D

since 45027/3 is is 15009 and 804597/3 is 268199

Answer:

(0,3)

Step-by-step explanation:

An easy way to determine the y intercept of a function is to graph it, and to see where the function passes through the y axis. As you can see below, the y intercept of this graph is at (0,3). Hope this helps!

Answer:

Y intercept = (0,3)

Step-by-step explanation:

When looking at a equation like this the y intercept would always the the number without a variable beside it.

-x would be the slope of the function

So 3 is your y intercept

Hope this helps!

If two side lengths of a fence are 9 and 12 inches and the sum of the three lengths ranges from 31 to 40 inches, then the length of the third side, x,  can be presented by the compound inequality 10 < x < 19.

Inequality refers to the relationship between two non-equal expressions. It can be denoted by > for greater than, < for less than, >/= for greater than and equal to, and </= for less than and equal to.

Given that the sum of the three lengths of a fence ranges from 31 to 40 inches, the inequality can be written as:

31 < sum < 40

If two side lengths are 9 and 12 inches, and let x be the third length, the inequality becomes:

31 < 9 + 12 + x < 40

31 < 21 + x < 40

Subtracting 21 at all sides,

31 - 21 < 21 + x - 21 < 40 - 21

10 < x < 19

Hence, the compound inequality to show the length of the third side can be written as 10 < x < 19.

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The required z-score is -0.5 and the probability that the firm WILL have a negative EPS is 30.85%.

Firm has a loss level EBIT of $175m and an expected EBIT of $200m with a standard deviation of $50m.

Z-score = (EBIT - Expected EBIT) / Standard deviation= (175 - 200) / 50= -0.5

Probability of having a negative EPS:

To find the probability that the firm will have a negative EPS, we need to find the area to the left of Z-score. As the Z-score is negative, we will be finding the left-tail probability using the standard normal table from the link below:

The area to the left of Z-score (0.5) is 0.3085 or 30.85%.

Therefore, the probability that the firm WILL have a negative EPS is 30.85%.

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Answer:

\(x^{2} +5x\)

Step-by-step explanation:

A = length x width

l = x + 5

w = x

A = x(x + 5)

\(A=x^{2} +5x\)

Answer:

About 29%

Step-by-step explanation:

Answer:

In the case presented, the range is the difference between the maximum value and the minimum value of the data. The range describes the breadth of the data and how much they vary from the minimum value to the maximum value. Therefore, the range indicates the dispersion of the data.

The statement indicates that the range is 5, which means that the most flights made by students is 5. Since the data has a narrow dispersion, we can conclude that most students have taken a similar number of flights, implying that most students have flown an amount close to the maximum number observed.

Therefore, the option that best describes the dispersion of the data is: "The data has a range of 5, which is a narrow dispersion. This means that most students have taken a similar number of flights."

Step-by-step explanation:

Answer:

The answer is C. 2 pounds

Step-by-step explanation:

Add all the numbers up and then divide by the numbers of sets. The average is the same as the mean.

This is for the ones on Plato

Answer:

Therefore you have to run every mile in ~ 8 minutes.

Step-by-step explanation:

10 miles - 3 miles = 7 miles left.

1 hour 20 minutes - 24.7 minutes= 80 minutes - 24.7 minutes

                                                       = 55.3 minutes left

Therefore, you have 55.3 minutes left to run 7 miles. But since you want to finish in LESS than 1 hour and 20 minutes, subtract the .3.  

So:

7 miles = 55 minutes

1 mile        x minutes

x minutes= 55 x 1 ÷ 7 miles

x minutes = 7.85

x minutes = ~ 8 minutes

Therefore you have to run every mile in ~ 8 minutes.

Hope this helps!

The measures of the smallest and the largest possible integral lengths of the third side of the triangle is 21 and 1 respectively

What is Triangle?

A triangle is a three-edged polygon with three vertices. It is a fundamental shape in geometry. Triangle ABC denotes a triangle with vertices A, B, and C. In Euclidean geometry, any three non-collinear points define a unique triangle and, by extension, a unique plane.

A side of a triangle must be always less than or equal to the sum of other two sides and greater than the difference of other two sides.

Say the required side is x.

So x<9+11 and x>9-11

So 20<x<2

So the smallest integer is 21 and the largest integer is 1

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The measures of the smallest and the largest possible integral lengths of the third side of the triangle is 21 and 1 respectively

What is Triangle?

A triangle is a three-edged polygon with three vertices. It is a fundamental shape in geometry. Triangle ABC denotes a triangle with vertices A, B, and C. In Euclidean geometry, any three non-collinear points define a unique triangle and, by extension, a unique plane.

A side of a triangle must be always less than or equal to the sum of other two sides and greater than the difference between the other two sides.

Say the required side is x.

So x<9+11 and x>9-11

So 20<x<2

So the smallest integer is 21 and the largest integer is 1

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The sum of the infinite geometric series is -288.

A finite geometric series with n = 4, a₁ = -144, and r = ½.

What is the sum of the infinite geometric series?

The sum of the infinite is determined by the following formula;

\(\rm S_\infty = \dfrac{a_1(1-r^n)}{1-r}\)

A finite geometric series with n = 4, a₁ = -144, and r = ½.

Substitute all the values in the formula;

\(\rm \rm S_\infty = \dfrac{a_1(1-r^n)}{1-r}\\\\ S\infty = \dfrac{-144(1-\dfrac{1}{2}^{4})}{1-\dfrac{1}{2}}\\\\ \rm S_\infty = \dfrac{-144 \times \dfrac{15}{16}}{\dfrac{1}{2}}\\\\ \rm S_\infty = -270\)

Therefore,

The sum of the infinite geometric series is,

\(\rm S = \dfrac{a_1}{1-r}\\ \\ S = \dfrac{-144}{1-\dfrac{1}{2}}\\ \\ S = \dfrac{-144}{0.5}\\ \\ S = -288\)

Hence, the sum of the infinite geometric series is -288.

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Answer:

B. A water wheel in a dry river

Step-by-step explanation:

Work is said to be done when a force moves a body or an object through a certain distance in the direction of the force. Thus for work to be done, force and distance are required.

i.e Work done = Force x distance

It is measured in Joules.

Also, the work done by an object could be a measured of potential energy.

So that,

Work done = potential energy = mass x gravitational force x height

Considering the collage in the question, since the water wheel is in a dry river no work is done. Water wheel is a device that functions through the flow of water body, thus causing its rotation.

The proportion of customers who require an oil change and wait for nine minutes or less is 0.07.

The information provided by the question can be used to calculate the percentage of customers who wait for nine minutes or less, and the percentage of customers who wait for nine minutes or less and require an oil change. This information can be used to find out the ratio between these two percentages, which is the percentage of customers who wait for nine minutes or less and require an oil change.

The proportion of customers who require an oil change and wait for nine minutes or less can be calculated using the following formula:

Proportion of customers who require an oil change and wait for nine minutes or less = (Number of customers who require an oil change and wait for nine minutes or less) / (Total number of customers who wait for nine minutes or less)

The number of customers who wait for nine minutes or less and require an oil change is 35. The total number of customers who wait for nine minutes or less is 500. Thus, the proportion of customers who require an oil change and wait for nine minutes or less is:

Proportion of customers who require an oil change and wait for nine minutes or less = 35/500 = 0.07 or 7%.

Thus, 7% of customers who wait for nine minutes or less require an oil change.

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Complete Question:

Using classes of 0-4, 5-9, and so on, show the proportion of customers needing an oil change who wait 9 minutes or less.

The owner of an automobile repair shop studied the waiting times for customers who arrive at the shop for an oil change. The following data with waiting times in minutes were collected over a 1-month period:

2 5 10 12 4 4 5 17 11 8 9 8 12 21 6 8 7 13 18 3

The retail price of the wicker chair after an increment of 110% will be 124.3.

The part of any outcome is given as though it was a ratio of a hundred.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

An import/export industry marks up imported products by 110%. If a wicker chair imported from Singapore initially costs 113 from the factory.

The retail price is given as,

⇒ 110% of 113

⇒ 1.10 x 113

⇒ 124.3

Thus, the retail price of the wicker chair after an increment of 110% will be 124.3.

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In the Venn diagram, the joint probability refers to the probability of both events A and B occurring simultaneously.

The joint probability is given by the expression "P(A and B)." It represents the probability of the intersection between events A and B.  Therefore, the correct answer is "P(A and B)." The other options listed (P(A), P(B), P(A) - P(B), and P(A or B)) represent different probabilities but do not specifically capture the probability of both events occurring together.

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The point estimate of the difference in the population mean exercised between underclassmen and upperclassmen is 0.16 hours.

In this case, we are estimating the difference in population means between two groups - upperclassmen and underclassmen. The point estimate is calculated by subtracting the sample mean of the underclassmen from the sample mean of the upperclassmen, which gives us

0.76 - 0.60 = 0.16.
the point estimate of the difference in population mean exercised between underclassmen and upperclassmen is 0.16 hours, which was calculated by subtracting the sample mean of underclassmen from the sample mean of upperclassmen.
Point Estimate = (Sample Mean of Upperclassmen) - (Sample Mean of Underclassmen)
Point Estimate = (0.76) - (0.60)
Point Estimate = 0.16

Hence, the point estimate of 0.16 suggests that, on average, upperclassmen exercised 0.16 hours more than underclassmen in the past 24 hours. This is a rough estimate of the difference between the two population means based on the provided sample data.

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5 more than a number is greater or equal to 27

The "number" can be represented as x.

\(\boxed{x+5\geq 27}\)

Step-by-step explanation:

\(90 + 90 + 52 + x = 360 \\ x = 360 - 90 - 90 - 52 \\ x = 128\)

Therefore, the linearization of f(x) = cos(x) at a = π/2 is L(x) = π/2 - x.

The linearization of a function f(x) at a point a is given by:

L(x) = f(a) + f'(a)(x - a)

where f'(a) denotes the derivative of f(x) evaluated at x = a.

In this case, we have:

f(x) = cos(x)

a = π/2

First, let's find f'(x):

f'(x) = -sin(x)

Then, we can evaluate f'(a):

f'(π/2) = -sin(π/2) = -1

Next, we can plug in the given values into the formula for linearization:

L(x) = f(a) + f'(a)(x - a)

L(x) = cos(π/2) + (-1)(x - π/2)

L(x) = 0 - x + π/2

L(x) = π/2 - x

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If Homer can travel the same distance on the moving walkway as he can on the floor in the same amount of time, then his walking speed and the speed of the moving walkway must be the same. Therefore, Homer's walking speed is 4 mph.

Let's say that the distance Homer needs to travel to get to his gate is D. If he walks on the floor next to the moving walkway, he will travel this distance at his walking speed, which we'll call W. If he walks on the moving walkway, he will travel this distance at the speed of the walkway plus his walking speed, or W + 4 mph.

Since the time it takes for Homer to travel the distance D is the same in both cases, we can set the two equations equal to each other:

D/W = D/(W + 4)

Cross-multiplying gives us:

D(W + 4) = DW

Distributing the D gives us:

DW + 4D = DW

Subtracting DW from both sides gives us:

4D = 0

Dividing both sides by 4 gives us:

D = 0

Since the distance D cannot be zero, this means that the only way for the two equations to be equal is if W and the speed of the moving walkway are the same. Therefore, Homer's walking speed is 4 mph.

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The value of ∫xf ''(x) dx is 12.

We can use integration by parts to find the value of the given integral. Let's assume F(x) is the antiderivative of f ''(x), which means F'(x) = f ''(x). Applying integration by parts, we have:

∫xf ''(x) dx = xF'(x) - ∫F(x) dx

Integrating F(x) with respect to x gives us ∫F(x) dx = ∫f ''(x) dx = f '(x) + C, where C is a constant of integration. Now, let's evaluate the integral:

∫xf ''(x) dx = xF'(x) - ∫F(x) dx = xF'(x) - f '(x) - C

To find the value of the integral, we need to evaluate the expression at the limits of integration. Given that f(1) = 4 and f '(1) = 3, we can substitute these values into the expression:

∫xf ''(x) dx = [xF'(x) - f '(x)] from 1 to 4

Evaluating this expression at x = 4 and x = 1, we get:

∫xf ''(x) dx = [4F'(4) - f '(4)] - [1F'(1) - f '(1)]

Substituting f '(1) = 3, f '(4) = 3, and simplifying the expression, we find:

∫xf ''(x) dx = [4F'(4) - 3] - [1F'(1) - 3] = 12

Therefore, the value of ∫xf ''(x) dx is 12.

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Answer:

x= -3

Step-by-step explanation:

3(x-4)= -21

x - 4 = -7( to get this divide both sides of the equation by 3 )

x = -7 + 4 ( add 4 to both sides of the equation)

x = -3 ( then add -7 and 4 to get -3)

So clearly x = -3

HOPE THIS HELPED

Answer: The area is 6.5

Answer:

2280

Step-by-step explanation: