Divide using partial products 52/5 =

The inequality to show the values of [w] that will not exceed the weight limit of the elevator is w + 1643 ≤ 2000. On solving the inequality, we get w ≤ 357. The graph of the inequality is attached.

        ≤ : less than or equal to

        ≥ : greater than or equal to

        < : less than

        > : greater than

        ≠ : not equal to

Given is the maximum load for a certain elevator is 2000 pounds. The total weight of the passengers on the elevator is 1400 pounds. A delivery man who weighs 243 pounds enters the elevator with a crate of weight [w].

        1400 + 243 + w ≤ 2000

        w + 1643 ≤ 2000

        w + 1643 ≤ 2000

        w ≤ 2000 - 1643

        w ≤ 357

Therefore, the inequality to show the values of [w] that will not exceed the weight limit of the elevator is w + 1643 ≤ 2000. On solving the inequality, we get w ≤ 357. The graph of the inequality is attached.

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Answer:

Step-by-step explanation:

Quadrante 5

The amount of money that I will have at the end of 20 years would be =$4,480. That is option D

Compound interest is defined as the interest that is being earned on an account which is based on the rate and the time the investment was made.

The total amount invested (p)= $2,000

The rate of investment (r) = 5%

The time of investment(t)= 12 year

The compound interest warm from that account;

= P×T×R/100.

= 2,000×12×5/100

= 120000/100

= $1200

For the next 8 years with the rate of 8% ;

= 2,000×8×8/100

= 128000/100

= $1280

The total compound interest = $1200+$1280= $2,480

Therefore, the amount of money that I will have at the end of 10 years would be = 2000+2480 = $4,480

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Answer:

1/2 × |AB| × |OE|

Step-by-step explanation:

use the formula for finding the area of a triangle.

Based on the information provided, the researcher's hypothesis is that people who use their phones before bed get less sleep than the recommended 7 hours per night by the national sleep foundation.

The researcher samples 30 people who report using their phones immediately before bedtime and records their average hours of sleep per night. To test the hypothesis, a one-sample t-test is conducted to compare the number of hours of sleep the phone users get relative to the national sleep foundation recommendations.

The results of the t-test will indicate whether the average number of hours of sleep the phone users get is significantly different from the recommended 7 hours per night. If the results show that the phone users get significantly less sleep than the recommended amount, this could indicate a negative effect of phone use on sleep quality.
The researcher hypothesizes that people who use their phones before bed get less sleep than the National Sleep Foundation's recommendation of at least 7 hours per night for adults. A one-sample t-test is conducted to compare the average number of hours of sleep for a sample of 30 phone users against this recommended value. The test will help determine if there's a significant difference between the sleep duration of phone users and the recommended sleep duration.

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Therefore, the expression's 48th component is the cost per scarf.

A mathematical expression is a sentence that has at least two variables or integers and one mathematical action. In mathematics, it is possible to multiply, divide, add, or remove. An expression's structure is (Mathematical Operator, Number or Variable, Expression).

Here,

In the following expression, 483 denotes the total number of scarves, and 48 is the cost per scarf. For each scarf order, customers are charged a $4.75 delivery fee:

The 48 denotes the price per scarf, as can be seen from the supplied.

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The height of the right triangle is 24 centimeters. This is determined by solving the equation for the area of the triangle, which is given as 96 cm², and considering that the height is 3 times the length of the base. By substituting the values and solving the equation, we find that the height is indeed 24 centimeters.

To determine the height of the right triangle, we can use the formula for the area of a triangle, which is given by the formula A = (1/2) * base * height. In this case, the area is known to be \(96 cm^2\).

Let's denote the length of the base as x. According to the problem statement, the height is 3 times the length of the base, so the height can be expressed as 3x.

Substituting these values into the area formula, we get:

\(96 = (1/2) * x * 3x\)

Simplifying the equation:

\(96 = (3/2) * x^2\)

To solve for x, we can divide both sides of the equation by (3/2):

\(64 = x^2\)

Taking the square root of both sides, we find:

x = 8

Since the height is 3 times the length of the base, the height is:

3 * 8 = 24 centimeters.

Therefore, the height of the right triangle is 24 centimeters.

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If the builder does not build houses with three-car or more garages, then the probability that the buyer will select no garage home is 0.1.

Probability is a measure of likelihood that a certain event occurs. The probability of an event A is defined as:

P(A) = n(A)/n(S)

Where:

n(A) = number of ways the event A can occur

n(S) = number of all possible outcomes.

Suppose there are 3 possible outcomes, A, B, C, then:

P(S) = P(A) + P(B) + P(C) = 1

In the problem, let's define the events:

A = buyer will select a one-car garage

B = buyer will select a two-car garage

C = buyer will select no car garage

We have:

P(A) = 0.2

P(B) = 0.7

Hence,

P(A) + P(B) + P(C) = 1

0.2 + 0.7 + P(C) = 1

P(C)  = 1 - 0.9 = 0.1

Therefore, the probability that the customer will choose no garage option is 0.1

Your question is incomplete, most likely it was:

In building new homes, a contractor finds that the probability of a home buyer selecting a two-car garage is 0.7 and of selecting a one-car garage is 0.2. Find the probability that the buyer will select no garage. the builder does not build houses with three-car or more garages

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Answer:

One, four, and five

Step-by-step explanation:

I just got it right, and I hope you do too :)

The solution is Option A , Option D, Option E

The equation of line is y = ( - 1/2 ) x + 7/2 and the slope is m = ( -1/2 )

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be represented as G = G ( -4 , 1 )

Let the second point be represented as H = H ( 2 , -2 )

The slope of the line between the points is

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( -2 - 1 ) / ( 2 - ( - 4 ) )

On simplifying the equation , we get

Slope m = -3 / 6

Slope m = -1/2

Now , the equation of line is y - y₁ = m ( x - x₁ )

Now , the line passes through the point J ( 1 , 3 )

Substituting the values in the equation , we get

y - 3 = ( -1/2 ) ( x - 1 )

On simplifying the equation , we get

y - 3 = ( -1/2 )x + 1/2

Adding 3 on both sides of the equation , we get

y = ( -1/2 )x + 7/2

So , the equation of line is y = ( -1/2 )x + 7/2

Substitute the value of x and y in the equation , we get

Let the point be A ( -3 , 5 )

when x = -3 and y = 5

y = ( -1/2 )x + 7/2

5 = (- 1/2) (- 3) +7/2

5 = 3/2 + 7/2

5 = 10/2

5 = 5

So , the point A lies on the line

Let the point be B ( 3 , 2 )

when x = 3 and y = 2

2 = (- 1/2) (3) +7/2

2 = -3 / 2 + 7/2

2 = 4/2

2 = 2

So , the point B lies on the line

Let the point be C ( 5 , 1 )

when x = 5 and y = 1

1 = (- 1/2) (5) +7/2

1 = -5 / 2 + 7/2

1 = 2/2

1 = 1

So , the point C lies on the line

Hence , the equation of line is y = ( -1/2 )x + 7/2

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The best point estimate of the confidence interval is the midpoint or the mean of the interval.

The confidence interval is a range of values that we are confident contains the true population mean.

However, to get a single estimate of the population mean, we use the midpoint of the interval as the point estimate.

This is because the midpoint represents the most likely value of the population mean based on the sample data.
Therefore, the best point estimate for this confidence interval would be the average of the two endpoints:
(11.4 + 12.5) / 2 = 11.95

Hence, the best point estimate for the confidence interval 11.4 to 12.5 is 11.95, which represents the most likely value of the population mean based on the sample data.

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The given system of equations do not have a solution since their related line equations have the same slope.

The given system of equations is:

-x + 5y = 3   .......... (1)

2x - 10y = 4   ........(2)

In Equation (1), add both sides by (-5y)

-x + 5y + (-5y) = 3 + (-5y)

-x = -3 - 5y

Multiply by (-1)

x = 3 + 5y

Substitute x = 3 + 5y into equation (2)

2x - 10y = 4

2.(3 + 5y) - 10y = 4

6 + 10y - 10y = 4

6 = 4 (False)

Since the last equation is false, we might suspect that the given system of solution does not have solutions.

We need to check the slope of both equations:

-x + 5y = 3

⇒ 5y = x + 3

⇒ y = 1/5 x + 3/5

2x - 10y = 4

⇒ -10 y = -2x + 4

⇒ y = (2/10) x - 4/10

⇒ y = 1/5 x - 2/5

We can see that both equations have the same slope, i.e. 1/5.

Hence, they do not have solutions since the lines are parallel to each other.

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Answer:

-7  -4  0 1 7

Step-by-step explanation:

x=0

x²-49=0

x²=49

x=±7

x²+3x-4= ² + 4 − − 4= ( + 4 ) − 1 ( + 4 )=(x+4)(x-1)=0

x+4=0

x=-4

x=1

The best point estimate of the population proportion p is 0.031.

It is given in the question. It is the sample proportion of the population, which is computed by dividing the number of successes by the sample size.

It is also known f as sample proportion and it is used as an estimate of population proportion.

It can also be written as (x/n) where x is the number of success and n is the sample size of the given sample.

It is a point estimate because it gives a single value as an estimate for the population proportion.

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Answer:

x=2164.50

Step-by-step explanation:

tan13=500/x

x=500/tan13

x=500/0.231

x=2164.50

I think this is correct but im not to sure

Answer:

1. Down

2. 9 units down

3. Left

4. 5 units left

Answer:

\(x = 14.13ft\)

Step-by-step explanation:

Given

See attachment for illustration

Required

Find x

To do this, we apply Pythagoras theorem.

From the attachment, the length of the hypotenuse is 16.7ft

While the length of the opposite/adjacent is 8.9ft

Length x is calculated using:

\(16.7^2 = 8.9^2 + x^2\)

\(x^2 = 16.7^2 - 8.9^2\)

\(x^2 = 199.68\)

Take square roots

\(x = \sqrt{199.68\)

\(x = 14.13ft\)

The distance between the two platforms should be  14.13 ft.

Since the length of the hypotenuse is 16.7ft.

And,  length of the opposite/adjacent is 8.9ft.

Now the distance between should be

\(16.7^2 = 8.9^2 + x^2\\\\x^2 = 16.7^2 - 8.9^2\\\\x^2 = 199.68\\\\x = \sqrt{199.68}\)

= 14.13 ft.

hence, The distance between the two platforms should be  14.13 ft.

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Answer:

Step-by-step explanation:

x-intercept -> when y = 0

f(x) x-intercept -> (1 , 0)

g(x) x-intercept -> (-1 , 0)

y-intercept -> when x = 0

f(x) y-intercept -> (0 , -1)

g(x) y-intercept -> (0 , 1)

The x-intercept of f(x) is greater than the x-intercept of g(x)

The y-intercept of g(x) is greater than the y-intercept of f(x)

So from the options, the answer is D. The x-intercept of f(x) is greater than the x-intercept of g(x)

Based on the total cost that Juan incurred to hire the roofer including the charge for parts and labor, the number of hours that was needed to complete the job was 14.50 hours.

The first thing to do is to find out the amount that went to labor:

= Final bill - cost of materials

= 1,131.5 - 450

= $681.50

Now that you have the cost of labor, you can find out the number of labor hours that were used based on the hourly rate:

= Cost of labor / Hourly rate

Solving gives:

= 681.50 / 47

= 14.5 hours

In conclusion, the number of labor hours that the roofer used to complete the work, based on the total amount charged to Juan is 14.50 hours.

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The improper integral ∫ 1/x dx from 0 to ∞ is divergent. The improper integral ∫ 1/x dx from 0 to ∞ represents the integral of the function 1/x with respect to x over the interval from 0 to positive infinity.

To determine whether this integral is convergent or divergent, we need to evaluate it.

Let's split the integral into two parts: from 0 to 1 and from 1 to ∞.

∫(0 to 1) 1/x dx

This part of the integral is a finite integral, and it can be evaluated as:

∫(0 to 1) 1/x dx = [ln|x|] (0 to 1) = ln(1) - ln(0)

However, ln(0) is undefined, so this part of the integral does not converge.

Now let's evaluate the second part of the integral:

∫(1 to ∞) 1/x dx

This integral represents the area under the curve of the function 1/x from 1 to ∞. This is a well-known integral and is known to diverge. As x approaches infinity, the value of 1/x approaches 0, but it never reaches 0. Therefore, the area under the curve keeps increasing indefinitely, and the integral diverges.

Since either part of the integral diverges, the overall integral ∫ 1/x dx from 0 to ∞ is divergent.

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In the given figure, the point X represents centroid. The correct option is C.

A centroid is the point of intersection of all the medians of a triangle in geometry. The medians of a triangle are the line segments that connect each vertex to the opposite side's midpoint.

The centroid is also known as the triangle's "centre of mass" or "centre of gravity" because it is the point at which the triangle could be balanced if cut out of a piece of cardboard or other thin material.

Circumference is defined as the point at which three perpendicular bisectors intersect, which is incorrect because there is no indication of right angles.

The incenter is the point where the angle bisectors of the triangles meet, which is also not shown in the photo.

Thus, the correct option is C.

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Your question seems incomplete, the probable complete question is:

The transformed function is written as:

g(x) = (-x - 8)² + 9

Here we start with the parent quadratic function:

f(x) = x²

Let's say that the transformed function is g(x), first we know that there is a shift of 8 units to the left, this is written as.

g(x) = f(x + 8).

Then one of 9 units up, then we get:

g(x) = f(x + 8) + 9

Finally, a reflect over the x-axis, this adds a change of sign in the argument, we get:

g(x) = f( -(x + 8)) + 9

Replacing the original function we get:

g(x) = (-x - 8)² + 9

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Answer:

-5

Step-by-step explanation:

you get -29 - -17 =-12 so you get -17- -12=-5

The location of point L is at x = -5.

We have a point K which is mid - point of JL.

We have to find the location of L.

The mid - point of a line segment is a point on a line that divides it into two equal parts. For a line of length x, the mid - point divides it into two equal parts each of length  \($\frac{x}{2}\).

According to the question -

Assume that the Point L is at position x on the number line.

Point J = - 29

Point K = - 17

Since, x is the mid - point, therefore -

\($-17 = \frac{-29+x}{2}\)

- 34 = -29 + x

x = -34 + 29

x = - 5

Hence, the location of point L is at x = -5.

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-

y=-1/5x+4 is the equation in slope-intercept form for the line with y-intercept 4 and slope -1/5

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Given,

y-intercept 4 and slope -1/5

Now y=-1/5x+4

Hence y=-1/5x+4 is the equation in slope-intercept form for the line with y-intercept 4 and slope -1/5

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Answer:  the  answer  is  84

Step-by-step explanation:

Answer:

8 tens mean 80, the question's answer is 7

Step-by-step explanation:

Answer:

Number of more red cup = 1.5 cups

Step-by-step explanation:

Given:

Number of white cup = 4

Number of red cup = 6

Number of more white cup = 1

Find:

Number of more red cup

Computation:

Number of more red cup = Number of more white cup x [Number of red cup / Number of white cup]

Number of more red cup = 1 [6/4]

Number of more red cup = 1.5 cups

The indoor temperature ranges between 68.5 and 76.5 degrees Fahrenheit.

Given data;

According to the equation |x - 72. 5| = 4, the home's heating system is configured to maintain the minimum and maximum temperatures (in degrees Fahrenheit).

To find the minimum and maximum temperatures in the house,

We know that modulus is used to make a negative value into a positive;

|x - 72. 5| = 4

|A| = -A < x < A

|x - 72. 5| = 4

⇒ x - 72.5 = -4  x - 72.5 = +4

   x = 72.5 - 4    x = 4 + 72.5

   x = 68.5         x = 76.5

Hence, the minimum and maximum temperatures in the house are 68.5 and 76.5 Fahrenheit.

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Answer:

8 is the maximum he can get.

Step-by-step explanation:

Good luck!

The highest row subscript for the integer numbers array is 4. The array `integer numbers` is a two-dimensional array with the following elements:{{1, 2}, {3, 4}, {4, 5}, {6, 7}, {8, 9}}.

Given array is `dim integer numbers(,) as integer = {{1,2},{3,4},{4,5},{6,7},{8,9}}

The highest row subscript for the integer numbers array is 4.

The first dimension has five elements, and the second dimension has two elements. The row subscripts for the integer numbers array range from 0 to 4.

The row subscript starts with 0 and ends with one less than the number of elements in the row, so the highest row subscript for the integer numbers array is 4.

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