A shipping container will be used to transport several 110-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 25000 kilograms. Other shipments weighing 7600 kilograms have already been loaded into the container. What is the greatest number of 110-kilogram crates that can be loaded into the shipping container?

Answer:

Option B, would be the correct answer: 75 labels per minute

Step-by-step explanation:

The number of labels produced per minute would be a constant value which would be the slope of this graph represented above.

Slope = \(\frac{rise}{run}\)

Slope = \(\frac{150}{2}\)

Slope = 75

Hope this helps!

Point d is at (5, -5), which is five units to the right of the origin on the x-axis and five units below the origin on the y-axis. Similarly, point e is at (7, 3), point f is at (-1, 5), and point G is at (-3, -3).

The given points, d (5, -5), e (7, 3), f (-1, 5), and G (-3, -3) form quadrilateral DEFG. To plot these points, we can first draw the x and y axes on a graph paper.

Then, we can plot each point by locating its x-coordinate on the x-axis and its y-coordinate on the y-axis.

After plotting the points, we can click on the "Graph Quadrilateral" button to see the quadrilateral DEFG. It should be a closed shape with four sides, connecting the four points in the given order.

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The value of cos(A-B)cos(A−B) in the simplest form is 76/861

The angles having measures less than 90° is considered as an acute angle.

Given that, For positive acute angles A and B, it is known that cos A= 40/41 and sinB= 20/21.

Finding sinA and cosB,

cos²x+sin²x = 1

Therefore,

sinA = \(\sqrt{1-cos^{2}A}\)

sinA = √1-(⁴⁰/₄₁)²

sinA = 9/41

Now,

cosB = \(\sqrt{1-sin^{2}B }\)

cosB = √1-(²⁰/₂₁)²

cosB = √41/21

Using formula,

cos(A+B)cos(A−B) = (cosAcosB−sinAsinB)

cos(A+B)cos(A−B) = [40/41x√41/21]-[9/41x20/21]

= 40√41/861-180/861

= [256-180]/861

= 76/861

Hence, the value of cos(A+B)cos(A−B) is 76/861

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Step-by-step explanation:

B^2+8b+7 is a quadratic expression. It can be factored as (b+7)(b+1).

To factor a quadratic expression, you can use the following steps:

1. Find two numbers that add up to the coefficient of the middle term (8) and multiply to the constant term (7).

2. Write the quadratic expression as a product of two binomials, with the two numbers you found in step 1 as the coefficients of the terms in each binomial.

In this case, the two numbers that add up to 8 and multiply to 7 are 7 and 1. So, we can factor B^2+8b+7 as follows:

(b+7)(b+1)

This means that B^2+8b+7 is equal to the product of (b+7) and (b+1).

Here is a step-by-step explanation of how to factor B^2+8b+7:

1. The coefficient of the middle term is 8.

2. The constant term is 7.

3. The two numbers that add up to 8 and multiply to 7 are 7 and 1.

4. Therefore, B^2+8b+7 can be factored as (b+7)(b+1).

The measures of the unknown angles are as follows:

When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate angles, linear angles etc.

The parallel lines are line m and line l .  The parallel lines m and l are cut by two transversals.

Therefore, the measures of the unknown angles are as follows:

∠1 = 27°(vertically opposite angles)

∠1 = ∠4(alternate angles)

∠4 = 27°

Alternate angles are congruent. Vertically opposite angles are congruent.

Therefore,

∠1 + ∠2 = 124

27 + ∠2 = 124

∠2 = 124 - 27

∠2 = 97°

∠3 = 180 - ∠2 - ∠1 (sum of angles on a straight line)

∠3 = 180 -  97 - 27

∠3 = 56°

∠5 = 180 - ∠4 - ∠2

∠5 = 180 - 97 - 27

∠5 = 56°

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Answer:

)5/9

Step-by-step explanation:

Answer:

it's 13x+30

Step-by-step explanation:

Answer:

Step-by-step explanation:

    A,  use  three_digite  rounding  arithmetic  to compute  13- 6 and determine  the absolute,relative ,and percentage errors.

tepeat part (b) using  three – digit chopping arithmetic.

Answer: 140

Step-by-step explanation:

The measurement of the given angle is a 90 degree.

According to the statement

We have to find that the measurement of this angle.

So, For this purpose, we know that the

An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.

From the given information:

In the given figure, the measurement of the angle we have to find.

A 90-degree angle is a right angle and it is exactly half of a straight angle. It always corresponds to a quarter turn.

And from the figure it is clearly visible that the line of the angle exactly matches with the 90 degree.

Then the angle is 90 degree.

So, The measurement of the given angle is a 90 degree.

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Answer:

$180

Step-by-step explanation:

If the perimeter is 30 yards and each yard costs $6 you times 30 and 6 and you get $180

The standard error is 0.0912.

The standard error (SE) is a measure of the precision of the sample mean estimate compared to the true population mean. To calculate the SE, we use the formula SE = standard deviation / square root of sample size.

In this scenario, the population parameter is 0.7, and the sample size is 30. If we assume that the sample mean is an unbiased estimator of the population mean, then the SE can be calculated using the above formula. However, we do not know the standard deviation of the population, so we use the sample standard deviation as an estimate.

Assuming the sample is large enough to assume normality, the formula becomes SE = \(\sqrt{(0.7*0.3)/30}\)   = 0.0912. Therefore, the standard error for a sample size of 30 is 0.0912. This means that if we were to take multiple samples of size 30 from the same population, the standard deviation of the means of those samples would be around 0.0912 away from the population parameter of 0.7 on average.

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Answer:

Option 2.

Step-by-step explanation:

Find the domain by finding where the function is defined. The range is the set of values that correspond with the domain.

Domain: \((- \infty} ,0)\) ∪ \((0, \infty} )\)

Range: \((- \infty} ,0)\)∪\((0, \infty} )\)

Answer:

it is not clear .... please add the question and send the link of the question

Answer:

$712.79

Step-by-step explanation:

It should be noted that the number of sample size based on the information will be 300.

In order to calculate the sample size, we can use the following formula:

n = z² * p * (1-p) / E²

n = 1.96² * 0.5 * (1-0.5) / 0.05²

= 300

A questionnaire is a method of gathering data that makes use of written questions to be answered by the respondents. It is a popular method of data collection because it is relatively easy to administer and can be used to collect a wide variety of information.

In the first column, the population is the entire National Capital Region (NCR). The sample is the city of Manila. In the second column, the population is all STEM students. The sample is all academic track students. In the third column, the population is all the tablespoons of sugar in the jar. The sample is one tablespoon of sugar. In the fourth column, the population is all the vowels in the word "juice". The sample is the vowel "i".

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Answer:

-6x-14<-4

-6x<4+14

-6x<18

divide both side by -6

x<-3

Step-by-step explanation:

answer A

Answer:

1, 3, 5

Step-by-step explanation:

EDG 2020-2021 Stats

The events ,The events red and black ,The events white and other, The events red and other are mutually exclusive.

The probability is defined as the chances of happening any event. Mutually exclusive events are those in which the one event is independent of the other event.

The condition for the mutually exclusive event will be:

\(P(A|B)=\dfrac{P(A) \ and P(B)}{P(A)}=P(A)\)

We have the data

red,    0.28

black,  0.30

white,  0.22

other   0.20

Here we will check the mutually exclusive event:-

(1)The events red and black

\(P(R|B)=\dfrac{P(R\ and\ B)}{P(B)}\)

\(P(R|B)=\dfrac{0.28\times 0.30}{0.30}=0.28 =P(R)\)

Hence the event is exclusive.

(2)The events white and other

\(P(W|O)=\dfrac{P(W\ and\ O)}{P(O)}=P(W)\)

\(P(W|O)=\dfrac{ 0.22\times 0.20}{0.20}=0.22=P(W)\)

Hence the event is exclusive.

(3) The events red and other

\(P(R|O)=\dfrac{P(R\ and\ O)}{P(O)}=P(R)\)

\(P(R|O)=\dfrac{ 0.28\times 0.20}{0.20}=0.28=P(R)\)

Hence the event is exclusive.

Hence the events ,The events red and black ,The events white and other, The events red and other are mutually exclusive.

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Answer:

. ...................

Answer: 31 videos

Step-by-step explanation:

A) The Slope is: 2

B) The interpretation of the slope is that there are two races for each number of track meet.

C) The y-intercept from the graph is at: y = 4

D) Equation of the line is: y = 2x + 4

The general form of equation of a line in slope intercept form is:

y = mx + c

where:

m is slope

c is y-intercept

From the given graph, we can see that the slope is gotten from the formula:

A) Slope = (y₂ - y₁)/(x₂ - x₁)

Thus:

Slope = (10 - 4)/(3 - 0)

Slope = 6/3

Slope = 2

B) The interpretation of the slope is that there are two races for each number of track meet.

C) The y-intercept from the graph is at: y = 4

D) Equation of the line is:

y = 2x + 4

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Answer:

Step-by-step explanation:

This table shows the frequency of each number obtained after throwing the die 35 times

To prepare a frequency table based on the numbers obtained from throwing a die 35 times, we can list the numbers from 1 to 6 and count the frequency of each number.

Numbers: 1, 2, 3, 4, 5, 6

Frequency: 5, 14, 6, 4, 5, 1

Based on the given numbers, the frequency table would look like this:

Number   | Frequency

1                      5

2                     14

3                      6

4                      4

5                      5

6                       1

This table shows the frequency of each number obtained after throwing the die 35 times.

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Hi! Your answer is 11. When multiplying terms with exponents, the exponents add up.

Step-by-step explanation:

You want to multiply the terms with the exponents. You should get 3 and 8, add those up and you will get 11.

Hope this helps! Have a good day :)

The relation between the 3 sides in the right triangle is

Where h is the opposite side to the right angles

l1 and l2 are the legs of the right angle

h is missing

l1 = 7 and l2 = 7

Take square root for both sides to find h

h = 9.899494937

Round it to the nearest whole number

h = 10

The answer is C

The value of x that makes the line containing (1,2) and (5,3) perpendicular to the line containing (x,4) and (3,0) is x = 2.

To determine the value of x such that the line containing (1,2) and (5,3) is perpendicular to the line containing (x,4) and (3,0), we need to find the slope of both lines and apply the concept of perpendicular lines.

The slope of a line can be found using the formula:

slope = (change in y) / (change in x)

For the line containing (1,2) and (5,3), the slope is:

slope1 = (3 - 2) / (5 - 1) = 1 / 4

To find the slope of the line containing (x,4) and (3,0), we use the same formula:

slope2 = (0 - 4) / (3 - x) = -4 / (3 - x)

Perpendicular lines have slopes that are negative reciprocals of each other. In other words, if the slope of one line is m, then the slope of a line perpendicular to it is -1/m.

So, we can set up the equation:

-1 / (1/4) = -4 / (3 - x)

Simplifying this equation:

-4 = -4 / (3 - x)

To remove the fraction, we can multiply both sides by (3 - x):

-4(3 - x) = -4

Expanding and simplifying:

-12 + 4x = -4

Adding 12 to both sides:

4x = 8

Dividing both sides by 4:

x = 2

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The function is zero at x = 1 and x = -3.

The vertex of the function is (-1, -4).

(0, -3) is the y-intercept.

The minimum of the function is at x = -1.

All the statement is true.

We have,

The zeroes of a function are the values of x that make the function evaluate to zero.

The vertex of a function, also known as the vertex point or vertex form, is a point on the graph of a quadratic function where the function reaches its maximum or minimum value.

The minimum of a function refers to the lowest value that the function attains over a given interval or its entire domain.

Now,

From the graph,

The function is zero at x = 1 and x = -3

So,

The function has two zeroes.

And,

The vertex of the function.

= (-1, -4)

And,

At x = 0, y = -3.

(0, -3)

This is the y-intercept.

Now,

From the graph,

The minimum of the function is at x = -1.

Thus,

The function is zero at x = 1 and x = -3.

The vertex of the function is (-1, -4).

(0, -3) is the y-intercept.

The minimum of the function is at x = -1.

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