Amtrak's annual passenger revenue for the years 1985-1995 is modeled approximately by the formulaR= 60 x 11| +962after 1980. In what year was the passenger revenue $722 million? In the years_ and _, the passengers revenue was $722 million.

Answer:

The percent increase in the average cost of a dozen oranges from October 2020 to October 2021 is approximately 225%.

Step-by-step explanation:

To find the percent increase in the average cost of a dozen oranges from October 2020 to 2021, we need to first calculate the difference in the average cost and then divide it by the original average cost, and finally multiply by 100 to get the percentage increase.

The difference in the average cost of a dozen oranges between October 2020 and October 2021 is:

$5.59 - $1.72 = $3.87

To calculate the percent increase, we need to divide the difference by the original average cost and multiply by 100:

Percent increase = (difference/original average cost) x 100

Percent increase = ($3.87/$1.72) x 100

Percent increase = 224.41%

Therefore, the percent increase in the average cost of a dozen oranges from October 2020 to October 2021 is approximately 224.41%.

Step by step (for more help understanding):

The problem states that the average cost of a dozen oranges was $1.72 in October 2020 and $5.59 in October 2021. We need to find the percent increase in the average cost from October 2020 to October 2021.

Step 1: Find the difference in the average cost

To find the difference in the average cost, we subtract the original average cost from the new average cost.

$5.59 - $1.72 = $3.87

This means that the average cost of a dozen oranges increased by $3.87 from October 2020 to October 2021.

Step 2: Find the ratio of the difference to the original cost

To find the percentage increase, we need to express the difference as a percentage of the original cost. We do this by dividing the difference by the original cost.

$3.87 / $1.72 = 2.25

This means that the new average cost is 2.25 times the original average cost.

Step 3: Convert the ratio to a percentage

To convert the ratio to a percentage, we multiply it by 100.

2.25 x 100 = 225%

Step 4: Round the percentage to one or two decimal places

Finally, we round the percentage to one or two decimal places, depending on the level of accuracy required.

The percent increase in the average cost of a dozen oranges from October 2020 to October 2021 is approximately 225%.

Hope this helps, If not I'm sorry. If you need more help, ask me! :]

Answer:

B

Step-by-step explanation:

the biggest portion of the pie graph is labeled comedy, so that would be your answer.

Answer:

Step-by-step explanation:

there isint enough details

        Hence, The other Number is:   B   =  630

If the HCF of two numbers is 36 and their LCM is 1260. If one number is 72 find the other one:

        2,   2,  3,   3,  7

        2,  2,  2,  3,  3

        HCF  *   LCM   =   a  *  b

        HCF   =    2  *  2  *  3  *  3

                   =  36

        36  *   1260   =    72  *  b

        36  *  1260    =    72b

        45360           =    72b

        1260            =   2  *  b

        45360 / 72  =   72b/72

                        b   =   630

        B    =    630

        Hence, The other Number is:   B   =  630

I hope this helps you!

The Product of 1 5/8, 2, and 3/5 is equal to 39/20, which is simplified completely. The answer is 39/20.

To find the product and simplify completely, you need to perform multiplication and simplify the resulting fraction. Here, we are multiplying the following fractions and mixed numbers:1, 5/8, 2, and 3/5.The first step is to convert the mixed numbers into improper fractions.

We do that by multiplying the whole number by the denominator, and then adding the numerator.For 1 5/8, we get:$$1 \frac{5}{8} = \frac{8}{8} \times 1 + \frac{5}{8} = \frac{13}{8}$$For 2, we get:$$2 = \frac{2}{1} = 2 \times \frac{1}{1} = \frac{2}{1}$$For 3/5, we leave it as is since it's already a fraction.

Now that we have all the numbers as fractions, we can multiply them:$$\frac{13}{8} \times \frac{2}{1} \times \frac{3}{5} = \frac{13 \times 2 \times 3}{8 \times 1 \times 5} = \frac{78}{40}$$

To simplify the fraction, we can divide both the numerator and denominator by their greatest common factor, which is 2:$$\frac{78}{40} = \frac{2 \times 39}{2 \times 20} = \frac{39}{20}$$

Therefore, the product of 1 5/8, 2, and 3/5 is equal to 39/20, which is simplified completely. The answer is 39/20.

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Answer:

184= 4(6y+4)

184= 24y +16

184 -16 = 24y

168=24y

168/24=y

y= 7

To determine the area of the remaining piece of cardboard expressed in terms of x when a square of side length x inches is cut out from a rectangular piece of cardboard having a length of 6x+2 inches and a width of 2x-4 inches, use the following steps.

Draw and label a diagram of the problem. The rectangle should be labeled as 6x+2 inches by 2x-4 inches, and the square cut out should be labeled as x inches by x inches. This is how the diagram looks like: Determine the area of the rectangle, Arect.

The area of the rectangle is given by the product of its length and width. Thus, Arect = (6x + 2)(2x - 4) Determine the area of the square, Asq. The area of the square is given by the square of its side length. Thus, Asq = x²Step 4: Determine the area of the remaining cardboard after the square is cut out, Ar.

This is the difference between the area of the rectangle and the area of the square. Thus, Ar = Arect - Asq= (6x + 2)(2x - 4) - x²= 12x² - 20x - 16

Simplify the expression. The final answer is given in terms of x. Thus, Ar = 12x² - 20x - 16.The area of the remaining piece of cardboard is expressed in terms of x as 12x² - 20x - 16.

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Answer: your question is poorly written attached below is the complete and well written question

answer : The minimal polynomial has degree m + 1 hence Z^m+1

Step-by-step explanation:

Given that

N ∈ L(V) is nilpotent

attached below is the required prove

Complete question is;

Use technology and a t-test to test the claim about the population mean μ at the given level of significance α using the given sample statistics. Assume the population is normally distributed.

Claim: μ > 71; α = 0.05

Sample statistics:

¯x = 73.9, s = 3.7, n = 25

A) What are the null and alternative hypotheses?

Choose the correct answer below.

A. H0:μ = 71 ; HA:μ ≠ 71

B. H0:μ ≤ 71; HA:μ > 71

C. H0: μ ≥ 71; HA: μ < 71

D. H0: μ ≠ 71; HA: μ = 71

B) What is the value of the standardized test statistic? The standardized test statistic is (Round to two decimal places as needed.)

C) What is the P-value of the test statistic? P-value = Round to three decimal places as needed.)

D) Decide whether to reject or fail to reject the null hypothesis.

Answer:

A) Option B - Alternative hypothesis: HA: μ > 71

Null hypothesis: H0: μ ≤ 71

B) t = -7.54

C) p-value = 0.000

D) we reject the null hypothesis

Step-by-step explanation:

A) We are told that the claim is: μ > 71. Thus, due to the sign, the alternative hypothesis would be the claim. So;

Alternative hypothesis: HA: μ > 71

Null hypothesis: H0: μ ≤ 71

B)Formula for standardized test statistic with a t-test is;

t = (¯x - μ)/√(s/n)

Plugging in the relevant values, we have;

t = (71 - 73.9)/√(3.7/25)

t = -7.54

C) From online p-value from t-score calculator attached using t = -7.54, n = 25, significance level = 0.05, DF = 25 - 1 = 24 and a one - tailed test, we have;

p-value = 0.00001 ≈ 0.000

D) The p-value of 0.000 is less than the significance value of 0.05,thus we will reject the null hypothesis

Answer:

maybe in the 70s actually

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

The centroid divides each median in a ratio of 2:1.

Answer:

190

Step-by-step explanation:

19x100= 1900/10 = 190 throws

Answer:

yep that is totally true

Answer: 12 x 12 +144

Step-by-step explanation:

Complete question :

A conglomerate corporation​ develops, manufactures, and markets a wide range of​ products, including medical diagnostic imaging​ devices, jet​ engines, lighting​ products, and chemicals. In​ 2013, the stock price rose 34.83 %, and in​ 2014, the stock price declined ​8.2%. If one purchased​ $1,000 of some social media stock at the start of​ 2013, its value would be ​$ at the end of 2014.

Answer: 0.2078330

Step-by-step explanation:

The geometric mean is calculated using :

[((1 + r1)(1+r2)(1+r3)...(1+rn))^(1/n) ]- 1

From the question:

2014 stock decline = 8.2% = rate 1(r1) = 0.082

2013 stock increase = 34.83% rate 2(r2) = 0.3483

Number of observations (n) = 2

Hence, geometric mean:

[((1 + r1)(1 + r2))^(1/n)] - 1

[((1 + 0.082) (1 + 0.3483))^(1/2)] - 1

Sqrt[(1.082)(1.3483)] - 1

Sqrt(1.4588606) - 1

= 1.2078330 - 1

= 0.2078330

Complete the following question:

Medical diagnostic imaging devices, jet engines, lighting products, and chemicals are just some of the products that a conglomerate corporation develops, manufactures, and markets. In 2013, the stock price increased by 34.83 percent, but it fell by 8.2 percent in 2014. If you bought $1,000 worth of social media stock in the beginning of 2013, it would be worth $ by the end of 2014.

0.02078330 is the answer.

Step-by-step instructions:

The geometric mean is found by multiplying the following numbers together:

[((1 + r1)(1+r2)(1+r3)...(1+rn))(1/n) ] (((1 + r1)(1+r2)(1+r3)...(1+rn) ] ((1 + r1)(1+r2)(1

+ 1

As a result of the question:

Rate 1(r1) = 0.082 for 2014 stock decline = 8.2 percent

Increase in stock in 2013 = 34.83 percent rate 2(r2) = 0.3483

The number of observations (n) is equal to two.

As a result, the geometric mean is calculated as follows:

[((1 + r1)(1 + r2))(1/n)] [(1 + r1)(1 + r2)] [(1 + r1)(1 + r2)] [ + 1

[((1 + 0.082) (1 + 0.3483)) [((1 + 0.082) (1 + 0.3483)) [((1 + 0.082) (1 + 0.3483)) [ + 1

Sqrt[(1.082)(1.3483)] is the square root of the number Sqrt[(1.082)(1.3483)]. + 1

sqrt(1.4588606) - 1 sqrt(1.4588606) sqrt(1.4588606) sqrt

1.2078330 - 1 = 1.2078330 + 1 = 1.2078330 + 1 = 1.

equals 0.2078330

Answer:

adult tickets: 180

child tickets: 160

Step-by-step explanation:

adult tickets =x

child tickets =y

1. create a function

x+y=340

16x + 12y = 4800

2. solve

3. x = 180, y = 160 which also means 180 adult tickets were sold and 160 child tickets were sold

Given

y=16, when x = 0.5

Find

value of y when x is 32

Explanation

Now putting this value again in y=k/x

Final Answer

Value of y will be 0.25

Answer:

1. 38.7

2. 3.87

3. .387

Step-by-step explanation:

1. So when dividing by numbers with exponents specifically 10 which is the most common number to have an exponent with you can look at the exponent and that number is the amount of zeros. So in this question there is 10 to the zeroth power. The amount of zeros would be zero so it is actually 1.

So then 10 to the zeroth power is equivalent to 1. The problem then becomes this: 38.7 / 1 which obviously equals 38.7

2. As I explained earlier, 10 to the first power would be 10 because the exponent number is one so that means the amount of zeros is one.

Equation: 38.7 / 10 which to solve you need to move the decimal to the left which gives you the answer, 3.87

3. The exponent number is 2 so, 10 to the second power is 100.

Equation: 38.7 / 100  

Move the decimal to the right twice and it will give you the answer .387

Please note that when multiplying by powers of 10 you move the decimal point to the left and when dividing by powers of ten you move the decimal to the right.

I am in fifth grade right now and I have 98% and up in all classes so these are kind of easy for me.

The slope-intercept

Answer:

From Thursday to Friday, the change in the depth was 19/16 inches

or as a mixed number, 1 3/16 inches

Step-by-step explanation:

From Monday to Thursday, the depth of a snowdrift changed by 2 3/8 inches

now, 2 3/8 = 2(8/8)+(3/8) = 16/8 + 3/8 = (16+3)/8

so, 2 3/8 = 19/8 inches = depth change from monday to thursday

From Thursday to Friday, the depth changed by half as much,

so,

depth change from Thursday to Friday = 1/2(depth change from Monday to Thursday)

depth change from thursday to friday = 1/2(19/8) = 19/16 inches

Answer:

x=20

Step-by-step explanation:

both of these angles equal each other

3x+50=6x-10

-3x.      -3x

50= 3x-10

+10     +10

60=3x

/3. /3

20=x

hopes this helps please mark brainliest

Answer:

You should get 21 odds

Step-by-step explanation:

There are 6 possible outcomes on a fair die

1,2,3,4,5,6

3 of the outcomes are odd

1,3,5

P(odd) =  odd outcomes/ total = 3/6 =1/2

Rolling 42 times

number of times * P(odd)

42*1/2 = 21

You should get 21 odds

Answer:

Hypotenuse of 10

Step-by-step explanation:

The Pythagorean Theorem is \(a^{2} +b^{2} = c^{2}\)

So let's plug in the numbers!

\(8^{2} +6^{2} = c^{2}\)

Let's start the squaring (8*8 and 6*6)

\(64 + 36 = c^{2}\)

Add the numbers to simplify

100 = \(c^{2}\)

To reverse/invert a number that is squared, all you have to do is to take the square root of the number. But we have to do the same operations on both sides of the equation.

\(\sqrt{100} =\sqrt{c^{2} }\)

We can simplify, and the square of c cancels because of the square root, leaving us with:

10 = c

Answer:

irrational

Step-by-step explanation:

Since π is an irrational number, it would make 3π/9 an irrational number too since multiplying or dividing by pi makes the answer an irrational number.

Answer:

a

Step-by-step explanation:

The calculated value of r ihe lateral area of the cylinder is 512π square units is 16 units

From the question, we have the following parameters that can be used in our computation:

The lateral area of the cylinder is 512π square units

The lateral area of the cylinder is 2πrh

So, we have

2πrh = 512π

Substitute r for h

2πr^2 = 512π

Divide both sides by 2π

So, we have

r^2 = 256

Take the square roots

r = 16

Hence, the radius is 16 units

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Answer:

(3 + x) ( a -2b)

Step-by-step explanation:

3a - 6b + ax - 2bx

3a + ax - 6b - 2bx

a(3 + x) - 2b (3 +x)

(3 + x) (a - 2b)

Answer:

(a-2b) (3+x)

Step-by-step explanation:

(3a-6b)+(ax-2bx)

(3a+ax)-(6b-2bx)

a(3+x)-2b(3+x)

(a-2b) (3+x)

Thanks

Hope it helps

The value of 'n' is 18 in the given equation 8n - 5 = 139.

We have to find the value of 'n'.

To do so, we need to solve the given equation.

Let us see how we can solve the given equation.8n - 5 = 139

We need to find the value of 'n'.

Let us bring the constant term to the right side by adding 5 to both the sides of the equation.8n - 5 + 5 = 139 + 5On simplifying, we get8n = 144Now, we need to isolate 'n' to find its value.

To do so, we divide both the sides by 8.8n/8 = 144/8On simplifying, we get n = 18

Therefore, the value of 'n' is 18.

Hence, the value of 'n' is 18 in the given equation 8n - 5 = 139.

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for the first question, you get 576

for the second one you get 0.1875

The exact value of cos theta if the terminal side of theta in standard position contains the point (6,-8) is, 3 / 5

We have to given that;

the terminal side of theta in standard position contains the point (6,-8)

Hence, For given condition we get;

The exact value of cos theta if the terminal side of theta in standard position contains the point (6,-8) is,

Here, x = 6, y = - 8

Hence, We get;

r = √x² + y²

r  = √6² + 8²

r = √36 + 64

r = √100

r = 10

So, The exact value of cos theta if the terminal side of theta in standard position contains the point (6,-8) is,

cos θ = x / r

cos θ = 6 / 10

cos θ =  3 / 5

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Answer:

The work done in stretching the spring is 8 lb.ft

Step-by-step explanation:

Given;

Applied force, F = 192 lb

extension of the spring, x = 3 ft

Determine the spring constant from the applied force and extension;

\(k = \frac{F}{x} \\\\k = \frac{192 \ lb}{3 \ ft} \\\\k = 64 \ lb/ft\)

When the spring is stretched 6 inches beyond its natural length, the work done is calculated as follows;

x = 6 inches = 0.5 ft

\(W = \frac{1}{2} kx^2\\\\W = \frac{1}{2} (64 \ lb/ft)(0.5 \ ft)^2\\\\W = 8 \ lb.ft\)

Therefore, the work done in stretching the spring is 8 lb.ft