Name
1. Consider the expression 7x² + 3x - 4.
Part A
Write the completely factored expression.

Answer:

214 cubic feet (rounded to the nearest cubic foot)

Step-by-step explanation:

Step 1  Determine the volume of 1 box

Volume of a box or rectangular prism = dimensions multiplied by each other

Here, the given dimensions are 11 in by 8 in by 12 in

So the volume of one box would be 11 x 8 x 12 = 1056 cubic inches

Step 2 Determine volume of all 350 boxes

Volume of 1 box = 1056

So volume of all 350 boxes = 1056 x 350 = 369600 cubic in

Step 3 Convert cubic in to cubic ft

To convert to cubic feet we divide the amount of cubic inches by 1728 (this is because there are 1728 cubic inches in 1 cubic foot)

369600 / 1728 = 214 cubic feet (to the nearest cubic foot)

214 cubic feet of warehouse space is required for 350 boxes with the dimensions of 11in by 8in by 12in

Answer:

Is A I think

Step-by-step explanation:

I hope this was helpful I did it on my book :)

In the given 30-60-90 triangle the value of x is calculated after rationalizing and simplifying to be equal to 2√3.

The hypotenuse of a right triangle is the longest side that is opposite the right angle. It is the side that is opposite to the right angle and is also the side that is opposite to the 90-degree angle in the triangle.

In a right triangle, the hypotenuse is always opposite to the right angle and is also the side that connects the two legs of the triangle. The hypotenuse is also the side that has the largest length among the three sides of a right triangle.

In a 30-60-90 triangle, the ratio of the sides opposite to the angles 30 degrees, 60 degrees, and 90 degrees are x: x√3 : 2x.

Therefore, in this triangle, the length of the hypotenuse (opposite to the 90-degree angle) is 2x.

The length of the perpendicular (opposite to the 60 degree angle) is 6.

So, we have:

tan (60 degrees) = perpendicular / base

√3 = 6 / x

Multiplying both sides by x, we get:

x√3 = 6

Dividing both sides by √3, we get:

x = 6 / √3

Rationalizing the denominator by multiplying both of the numerator and denominator by √3, we receive:

x = 6√3 / 3

Simplifying further, we get:

x = 2√3

Therefore, the value of x is 2√3.

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Therefore , the solution of the given problem of standard deviation comes out to be option C with n = 1,000 and p near to 1/2 is the right response.

Statistics uses variance as a way to quantify difference. The image of the result is used to compute the average deviation between the collected data and the mean. Contrary to many other valid measures of variability, it includes those pieces of data on their own by comparing each number to the mean. Variations may be caused by willful mistakes, irrational expectations, or shifting economic or business conditions.

Here,

The following algorithm determines the standard deviation of the sampling distribution of a sample proportion p:

=> √((p*(1-p))/n)

where n is the sample size, and p is the population percentage.

For the sampling distribution of a sample proportion p,

the pair of sample number n and population proportion p that would result in the highest standard deviation is:

=>n =1,000, and p is almost half.

Because p=1/2

yields the highest possible value of the expression (p*(1-p)), a bigger sample size will result in a smaller standard deviation.

The standard deviations will be lower for the other choices, which have smaller sample sizes or extreme values of p.

Therefore, (C) with n = 1,000 and p near to 1/2 is the right response.

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Answer: A 1/10

Step-by-step explanation: edge 2021

When 'a' is 10, 'c' is approximately 142.97. You can repeat this process for different values of 'a' to find corresponding values of 'c'. Keep in mind that there are infinitely many solutions to this equation

To use the elimination method to solve the equation 2a + c = 162.97, we need another equation with the same variables. However, as there is only one equation given, we cannot apply the elimination method directly.

The elimination method typically involves adding or subtracting equations to eliminate one of the variables, resulting in a new equation with only one variable. Since we have only one equation, we don't have the opportunity to eliminate variables using another equation.

In this case, we can solve the given equation directly by isolating one variable in terms of the other. Let's solve for 'c':

2a + c = 162.97

Rearrange the equation to isolate 'c':

c = 162.97 - 2a

Now, we have an expression for 'c' in terms of 'a'. This equation represents a line in the 'a-c' coordinate plane. We can choose any value for 'a', substitute it into the equation, and calculate the corresponding 'c' value.

For example, let's say we choose 'a' = 10:

c = 162.97 - 2(10)

c = 162.97 - 20

c = 142.97

So, when 'a' is 10, 'c' is approximately 142.97.

You can repeat this process for different values of 'a' to find corresponding values of 'c'. Keep in mind that there are infinitely many solutions to this equation since we have one equation and two variables.

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Step-by-step explanation:

The total number of workers that were studied can be found to be 139,340,000.

The percent of workers unemployed would be 5. 4 %.

Percentage of unemployed men is 5. 6 % and unemployed women is 5. 1%.

Number of employed workers :

= 74,624,000 + 64, 716, 000

= 139,340,000

Percentage unemployed :

= ( 4, 209,000 + 3,314,000 ) / 139,340,000

= 5. 4 %

Percentage of unemployed men :

= 4,209,000 / 74,624,000

= 5.6 %

Percentage of unemployed women:

= 3,314,000 / 64, 716, 000

= 5. 1 %

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The full question is:

a. How many workers were studied?

b. What percent of the workers were unemployed?

c. Compare the percent unemployed for the men and the women.

Answer:

(a) The probability that his weight is between 150 lb and 201 lb is 0.3428.

(b) The probability that the sample mean weight is between 150 lb and 201 lb is 0.011.

(c) When redesigning the ejection seat, the probability of a single pilot is more relevant as discussed in part (a).

Step-by-step explanation:

We are given that the seat was designed for pilots weighing between 130 lb and 181 lb.

The new population of pilots has normally distributed weights with a mean of 140 lb and a standard deviation of 27.3 lb.

Let \(\bar X\) = sample mean price for a movie in the United States

SO, X ~ Normal(\(\mu=140,\sigma^{2} =27.3^{2}\))

(a) The z-score probability distribution for the normal distribution is given by;

                              Z  =  \(\frac{ X-\mu}{\sigma}} }\)  ~ N(0,1)

where,  \(\mu\) = population mean weights = 140 lb

            \(\sigma\) = standard deviation = 27.3 lb

Now, the probability that his weight is between 150 lb and 201 lb is given by = P(150 lb < X < 201 lb) = P(X < 201 lb) - P(X \(\leq\) 150 lb)

         P(X < 201 lb) = P( \(\frac{ X-\mu}{\sigma}} }\) < \(\frac{ 201-140}{27.3}} }\) ) = P(Z < 2.23) = 0.9871

         P(X \(\leq\) 150 lb) = P( \(\frac{ X-\mu}{\sigma}} }\) \(\leq\) \(\frac{ 150-140}{27.3}} }\) ) = P(Z \(\leq\) 0.37) = 0.6443

The above probability is calculated by looking at the value of x = 2.23 and x = 0.37 in the z table which has an area of 0.9871 and 0.6443.

Therefore, P(150 lb < X < 201 lb) = 0.9871 - 0.6443 = 0.3428.

(b) Let \(\bar X\) = sample mean weight

The z-score probability distribution for the sample mean is given by;

                              Z  =  \(\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }\)  ~ N(0,1)

where,  \(\mu\) = population mean weight = 140 lb

            \(\sigma\) = standard deviation = 27.3 lb

            n = sample of pilots = 39

Now, the probability that the sample mean weight is between 150 lb and 201 lb is given by = P(150 lb < \(\bar X\) < 201 lb) = P(\(\bar X\) < 201 lb) - P(\(\bar X\) \(\leq\) 150 lb)

       P(\(\bar X\) < 201 lb) = P( \(\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }\) < \(\frac{201-140}{\frac{2.73}\sqrt{39} } }\) ) = P(Z < 13.95) = 0.9999

       P(\(\bar X\) \(\leq\) 150 lb) = P( \(\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }\) \(\leq\) \(\frac{150-140}{\frac{2.73}\sqrt{39} } }\) ) = P(Z \(\leq\) 2.29) = 0.9889

Therefore, P(150 lb < \(\bar X\) < 201 lb) = 0.9999 - 0.9889 = 0.011.

(c) When redesigning the ejection seat, the probability of a single pilot is more relevant as discussed in part (a) because it is important to look after the safety of each and every pilot not of a particular sample.

Introducing numeracy to young children can be done through various types of equipment and resources that engage their senses and make learning math concepts more interactive and enjoyable.

Here are some different types of equipment commonly used to introduce numeracy to young children:

Thus, by incorporating a variety of equipment and resources, educators and parents can create a rich learning environment that supports children's numeracy development and fosters a positive attitude towards math.

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Answer:

The answer is B. 8 cm

10x-5

Answer:

5(2x-1)

5*2x 5*-1

10x-5

Hey there!

5(2x - 1)

= 5(2x) + 5(-1)

= 10x - 5

Therefore, your answer should be: 5x - 5

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

8

Step-by-step explanation:

3/4 cup leaves 1/4 cup from each cup

1/4+1/4+1/4=3/4

so it would be 3/4+3/4+3/4+3/4+3/4+3/4+3/4+3/4=8 cups

9514 1404 393

Answer:

  24

Step-by-step explanation:

Find the parts of the expression from the graph, and evaluate the expression.

  f(6) = -6

  g(5) = -5

Then we have ...

  f(6) -6·g(5) = (-6) -6(-5) = -6 +30 = 24

It would be $0.47 monthly interest and $5.63 yearly interest

Answer:  The − sign here means subtraction. However, recall that 4 − 7 can be rewritten as 4 + (−7), since subtracting a number is the same as adding its opposite.

Step-by-step explanation:

Yes, 3 + (-4) is the same as -4 + 3, and this is due to the Commutative Property of Addition

The Commutative Property of Addition states that the order in which numbers are added does not change the result. In other words, when adding two or more numbers, we can change the order of the numbers without affecting the final sum.

So, in the case of 3 + (-4) and -4 + 3:

3 + (-4) = -1

-4 + 3 = -1

Both expressions have the same result of -1, which confirms that they are equal, and it's because of the Commutative Property of Addition.

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Answer:

B. Seraphina is not correct. The sum of the squares of the two legs of the triangle is not equal to the square of the hypotenuse.

Step-by-step explanation:

If KLM is a right triangle, then 12^2+16^2=19^2,

144+256 = 361

400 = 361 false

so, KLM is not a right triangle as the sum of the squares of the two legs are not equal to the square of the hypotenuse.

The sum of the squares of the two legs of the triangle is not equal to the square of the hypotenuse. Seraphina is incorrect.

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

|AC|^2 = |AB|^2 + |BC|^2    

where |AB| = length of line segment AB. (AB and BC are the rest of the two sides of that triangle ABC, AC being the hypotenuse).

Seraphina says that ΔKLM is a right triangle.

Let us check whether triangle ΔKLM is a right triangle or not.

By the Pythagoras theorem, we have

19² = 16² + 12²

361 = 256 + 144

361 ≠ 400

Thus, the triangle is not a right triangle.

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Answer: The average rate of change in the number of public library visits from 1998 to 2002 = 0.05 billion per year.

Step-by-step explanation:

Given: Number of visits in 1998 = 1.3 billion

Number of visits in 2002 = 1.5 billion

The average rate of change in the number of public library visits from 1998 to 2002 = \(\dfrac{\text{Number of visits in 2002 - Number of visits in 1998}}{2002-1998}\)

\(=\dfrac{1.5-1.3}{4}\\\\=\dfrac{0.2}{4}\\\\= 0.05 \text{ billion per year.}\)

Hence, the average rate of change in the number of public library visits from 1998 to 2002 = 0.05 billion per year.

0.45x0.008=0.0036

---

hope it helps

To find the combined rate of all the individuals working together, you must add the individual rates.

When calculating the combined rate of individuals working together, you need to add up the individual rates. Each worker contributes their own rate of work or productivity, and by adding these rates together, you can determine the combined rate at which they are working collectively.

This allows you to assess the overall efficiency and output of the team or group. By summing up the individual rates, we have better understanding of the overall productivity and performance of the group.

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Answer:

456

Step-by-step explanation:

Product means an answer derived from multiplication.  Therefore, if the product is 155952, and one value is 342, then the following equation is true:

342x = 155952, or 342 * x = 155952

Divide 155952 by 342 to get: 456.

Check the work in the equation:

342(456) = 155952

155952 = 155952, which is true, so the answer is 456.

If I helped, please make this answer brainliest! ;)

Answer:

the answer would be look at the test from one year earlier than that year (1979)

Step-by-step explanation:

that's correct answer.

Figure is missing, so i have attached it.

Answer:

it will clear the arch because the height of the archway of the bridge 5 feet from the center is approximately 12.76 ft

Step-by-step explanation:

The standard form of equation of an ellipse is;

x²/a² + y²/b² = 1

From the figure in the image attached, we can see that the radius is; a = 52/2 = 26 ft

While the value of b = 13 ft

Thus;

x²/26² + y²/13² = 1

x²/676 + y²/169 = 1

We want to find the height of the archway of the bridge 5 feet from the center.

Thus, we will plug in 5 for x to get;

5²/676 + y²/169 = 1

(25/676) + (y²/169) = 1

Multiply through by 676 to get;

25 + 4y² = 676

4y² = 676 - 25

y² = 651/4

y² = 162.75

y = 12.76 ft

Thus height of the truck is 12 ft and so it will clear the arch because the height of the archway of the bridge 5 feet from the center is approximately 12.76 ft

Height of the archway 5 feet from the center is required.

The height of the archway 5 feet away from the center is 12.757 feet.

Semi-major axis = \(a=\dfrac{52}{2}=26\ \text{feet}\)

Semi-minor axis = \(b=13\ \text{feet}\)

The formula for ellipse is

\(\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1\\\Rightarrow \dfrac{x^2}{26^2}+\dfrac{y^2}{13^2}=1\)

At 10 feet is the width of the truck.

The truck is passing through the center so the \(x=\dfrac{10}{2}=5\)

\(\dfrac{5^2}{26^2}+\dfrac{y^2}{13^2}=1\\\Rightarrow y=\sqrt{(1-\dfrac{5^2}{26^2})\times 13^2}\\\Rightarrow y=12.757\ \text{feet}\)

Now \(y=12.757\ \text{feet}>12\ \text{feet}\)

So, the height of the archway 5 feet away from the center is 12.757 feet.

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Answer: y = lxl + 5. B) y = 1. 2 x + 3. C) y = x2 - 4. D) y = 3. 4 x2. Explanation: The solution ... y = x. B) y = |x|. C) y = x2. D) y = x. Explanation: A linear function has a degree of 1. ... 2. 4. B. x f(x). 1. 6. 2. 7. 3. 8. 4. 9. 5 10. C. x f(x). -2 -3. -1 -1. 0. 1. 1. 3. 2. 5. D. ... Since the x is cubed in y = −3x3, it graphs as a curve. y = 5 ...

Step-by-step explanation:

Answer:

---------------------------------------

Let the cost of the meal be x.

Adding a tip of 19%:

Answer:

Wyatt should multiply with 1.19.

Step-by-step explanation:

Forming the expression,

→ 1 + (19% of 1)

Now the required number is,

→ 1 + (19% of 1)

→ 1 + ((19/100) × 1)

→ 1 + (19/100)

→ 1 + 0.19 = 1.19

Hence, required number is 1.19.