1) An 18-wheeler is pulling a cylindrical tank that carries 48,000 liters of gasoline. If the
tank is 12 meters in length, what is its radius?
V = 48.000
V=B•H
17√1.27m² ³
1.13M
48m³=B•12m
12
4m²=B
12
4m² =πtr²
1.13m=r
HELP-2) While barreling down the freeway, the driver approaches an overpass bridge that is 5
meters off the ground. If the tank sits on top of a trailer that is 2.5 meters tall, will the
truck be able to fit under the bridge? Explain your answer.

Answer:

less than

Step-by-step explanation:

Of the four different sets provided along with the question statement, option (B) {(1, -4), (5, 0), (5, -9)} is not a function.

As per the question statement, we are provided with 4 different set of numbers, as

A. {(3, 2), (-4, 1), (5, -9)}

B. {(1, -4), (5, 0), (5, -9)}

C. {(1, -4), (0, 5), (-9, 5)}

D. {(1, -4), (5, 0), (5, -9)}

We are required to determine the set which does not belong to a function from the above mentioned options.

To solve this question, we need to know that every input to a function has a distinct output, i.e., the same input cannot have two different outputs, or two different outputs cannot be result of one input. Also, we need to know that the corresponding inputs and outputs of a function are represented in a set form as {(i₁, o₁), (i₂, o₂), (i₃, o₃), ...], where "iₙ"  

[n = 0, 1, 2, 3, ...] denotes individual input values to a function, and "oₙ"

[n = 0, 1, 2, 3, ...] denotes individual output values to the same.

In Option (B), we can see that, (i₂ = i₃ = 5), while (o₂ = 0) and (o₃ = -9), i.e.,

Same inputs producing different output values, which is impossible in the case of a function.

Hence, {(1, -4), (5, 0), (5, -9)} is not a function.

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Answer:

- 39x² + 17x

Step-by-step explanation:

5(x - 12x²) + 3(4x + 7x² ) ← distribute both parenthesis

= 5x - 60x² + 12x + 21x² ← collect like terms

= - 39x² + 17x

The constant of proportionality that relates the number of servings to cups of cheese is  0.25.

According to the question,

Sarah used 2.5 cups of cheese in a dish that serves 10 people, this can be written as :

let the c be the cups of cheese : c = 2.5 cups of cheese

let n be the number of the people that is been served

Then the equation can be written as :

c ∝ n

then we can bring in the proportionality constant sign as ;

then c = kn

then we can introduce the given figures into the equation as ;

=> 2.5=k (10)

the we can determine the value of the constant as :

=> k=2.5/10 = 0.25

Hence, constant of proportionality relates the number of servings to cups of cheese is 0.25

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How much a statistic varies from one sample to another is known as the sampling variability of a statistic.

Testing variability arises due to the reality that exceptional samples of the same size can produce special values of a statistic, although the samples are described from the same populace. the quantum of slice variability depends on the scale of the sample, the variety of the populace, and the unique statistic being calculated.

The end of statistical conclusion is to apply the data attained from a sample to make consequences about the population, while counting for the slice variability of the statistic. ways similar as thesis checking out and tone belief intervals do not forget the sampling variability of a statistic to make redundant accurate consequences about the populace.

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\(2 - \sqrt{1} \\ = 2 - 1 \\ = 1\)

Option(a) is correct. The volatility of the underlying is captured in the binomial model by the difference between the up and down factors.

A binomial model describes the number of survivors, x, in n independent tests. Predetermined tests, statistically independent results for every test, and a constant survival probability throughout the tests are requirements. Based on the binomial distribution model, we can calculate the probability of observing a specified number of "successes" in the case of repeated processes (for example, in a set of patients).

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Answer:

11/6 as an  improper fraction

Step-by-step explanation:

1 5/6 is 11/6 as an importer fraction and 1.86 as a decimal  

Answer: 7

Step-by-step explanation: If they equal each other, then that must mean that the exponents equal. Therefore, we can draw out the conclusion that x+2=9, which is x=7

Answer:

You need to put an image of the graph for people to give you an answer.

Step-by-step explanation:

Answer:  = -8

Step-by-step explanation: Your welcome!

To find the derivatives of the given expressions, we can apply the chain rule, which states that the derivative of a composition of functions is equal to the derivative of the outer function multiplied by the derivative of the inner function.

(a) To find the derivative of f(g(x)), we start by differentiating the outer function f with respect to the inner function g(x), and then multiply it by the derivative of the inner function g(x) with respect to x.

df/dx = df/dg * dg/dx

df/dx = cos(g(x)) * (2x)

(b) To find the derivative of g(f(x)), we differentiate the outer function g with respect to the inner function f(x), and then multiply it by the derivative of the inner function f(x) with respect to x.

dg/dx = dg/df * df/dx

dg/dx = 2f(x) * cos(x)

Hence, the derivatives are:

(a) d/dx(f(g(x))) = cos(g(x)) * (2x)

(b) d/dx(g(f(x))) = 2f(x) * cos(x)

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The points on the surface \(xy^2z^3\) that are closest to the origin are: (0, 0, z) for any non-zero z, (x, 0, 0) for any x, and (x, y, 0) for any x and y.To find the points on the surface \(xy^2z^3\) that are closest to the origin, we need to minimize the distance between the origin (0, 0, 0) and the points on the surface.

The distance between two points\((x1, y1, z1)\) and \((x2, y2, z2)\)can be calculated using the distance formula:

d = sqrt(\((x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2)\)

For the surface \(xy^2z^3\), the coordinates (x, y, z) satisfy the equation \(xy^2z^3\) = 0.

To minimize the distance, we need to find the points on the surface that minimize the distance from the origin.

Since \(xy^2z^3\) = 0, we can consider two cases:

1. If \(xy^2z^3\) = 0 and z ≠ 0, then x or y must be 0. This gives us two points: (0, 0, z) and (x, 0, 0).

2. If z = 0, then \(xy^2z^3\) = 0 regardless of the values of x and y. This gives us one point: (x, y, 0).

Therefore, the points on the surface \(xy^2z^3\) that are closest to the origin are:

(0, 0, z) for any non-zero z,

(x, 0, 0) for any x, and

(x, y, 0) for any x and y.

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Answer to 2a: The mean of Asset A is 0.235  and the variance is 0.0123

Answer to 2b: The correlation coefficient between Asset A and C is approximately\(\(-0.670\) (Boom), \(-0.187\) (Average), \(-0.670\)\)(Bust).

2a. Mean of Asset A (Expected Value):

The mean of Asset A (E(A)) can be calculated as:

\(\[E(A) = \sum_{i} (x_i \cdot P_i)\]\)

where \(\(x_i\)\) represents the return on Asset A in each state and\(v \(P_i\)\) represents the probability of that state.

Using the given information, we have:

Boom:

\(\(E(A) = (0.35 \cdot 0.30) + (0.20 \cdot 0.50) + (0.05 \cdot 0.20) = 0.235\)\)

Average:

\(\(E(A) = (0.35 \cdot 0.30) + (0.20 \cdot 0.50) + (0.05 \cdot 0.20) = 0.235\)\)

Bust:

\(\(E(A) = (0.35 \cdot 0.30) + (0.20 \cdot 0.50) + (0.05 \cdot 0.20) = 0.235\)\)

Therefore, the mean of Asset A is\(\(E(A) = 0.235\).\)

2b. Correlation Coefficient of A and C:

The correlation coefficient\((\(\rho\))\)between Asset A and C can be calculated using the formula:

\(\[\rho = \frac{{\text{{Cov}}(A, C)}}{{\sigma_A \cdot \sigma_C}}\]\)

where\(\(\text{{Cov}}(A, C)\)\) represents the covariance between Asset A and C, and \((\sigma_A\)\) and\(\(\sigma_C\)\)represent the standard deviations of Asset A and C, respectively.

Using the given information, we have:

Boom:

\(\(\text{{Cov}}(A, C) = (0.35 - 0.235) \cdot (0.10 - 0.25) = -0.017\)\)

Average:

\(\(\text{{Cov}}(A, C) = (0.20 - 0.235) \cdot (0.15 - 0.25) = -0.005\)\)

Bust:

\(\(\text{{Cov}}(A, C) = (0.05 - 0.235) \cdot (0.35 - 0.25) = -0.017\)\)

Now, we calculate the standard deviations of Assets A and C:

\(\(\sigma_A = \sqrt{{\text{{Var}}(A)}} = \sqrt{0.0123} \approx 0.1108\)\)

\(\(\sigma_C = \sqrt{{\text{{Var}}(C)}} = \sqrt{0.0517} \approx 0.2274\)\)

Finally, we can calculate the correlation coefficient:

Boom:

\(\(\rho = \frac{{-0.017}}{{0.1108 \cdot 0.2274}} \approx -0.670\)\)

Average:

\(\(\rho = \frac{{-0.005}}{{0.1108 \cdot 0.2274}} \approx -0.187\)\)

Bust:

\(\(\rho = \frac{{-0.017}}{{0.1108 \cdot 0.2274}} \approx -0.670\)\)

Therefore, the correlation coefficient between Asset A and C is approximately\(\(\rho \approx -0.670\) (Boom), \(\rho \approx -0.187\) (Average), and \(\rho \approx -0.670\) (Bust).\)

Answer to 2a: \(The mean of Asset A is \(0.235\) and the variance is \(0.0123\.\)

Answer to 2b: The correlation coefficient between Asset A and C is approximately\(\(-0.670\) (Boom), \(-0.187\) (Average), \(-0.670\)\)(Bust).

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Answer:

24 units

Step-by-step explanation:

2πr(X/2π)

2π(8)(3/2π) = 24

Answer:

24cm

Step-by-step explanation:

i  got it right on khan

Answer:

  2.76×10^-3 m/s²

Step-by-step explanation:

You want to know the acceleration of the moon toward the Earth, given its distance is 3.8×10^8 meters, Earth's mass is 5.98×10^24 kg, and the gravitational constant is 6.673×10^-11 N·m²/kg².

The acceleration of one body by another is ...

  a = GM/r²

where G is the gravitational constant, M is the body creating the gravitational field, and r is the distance between the masses.

  a = (6.673×10^-11)(5.98×10^24)/(3.8×10^8)² N/kg

  a = (6.673·5.98/3.8²)×10^(-11+24-16) m/s² ≈ 2.76×10^-3 m/s²

Answer:

25%

Step-by-step explanation:

50 is 25% of 200, the price went down by $50

brainliest???

Answer:

25%

Step-by-step explanation:

25% of 200 is 50 in which if its subtracted from the total amount it would mean a decrease of 25%. 200-50 is 150 so this decrease would equate in -25%

Rounding to the nearest hundredth, the surface area of the sphere is approximately 331.81 square meters.

What is surface area ?

Surface area is the measure of the total area that the surface of an object occupies. It is a two-dimensional measurement, typically expressed in square units, such as square meters (m²) or square feet (ft²).

The surface area (A) of a sphere with diameter d is given by the formula:

A = 4π(d/2)²

where π (pi) is a mathematical constant approximately equal to 3.14.

Substituting the given value of the diameter d = 18.3m into the formula, we get:

A = 4π(18.3/2)²

A = 4π(9.15)²

A = 4π(83.7225)

A ≈ 331.81

Therefore, rounding to the nearest hundredth, the surface area of the sphere is approximately 331.81 square meters.

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Answer:

The answer is A.

Step-by-step explanation:

I used an online Calculator to calculate it for you.

(x + 4) * (x - 4) * (x + 2)
(x^2 - 4^2) * (x+2)
x^3 + 2x^2 - 16x^2 - 32

The mood of the categorical syllogism in example 2 is AIO.

In your example, we have the following premises and conclusion:

1. Major Premise: No dogmatists are scholars who encourage free thinking.
2. Minor Premise: Some theologians are scholars who encourage free thinking.
3. Conclusion: Some theologians are not dogmatists.

The major premise in example 2 is an A proposition (All S are not P). The minor premise in example 2 is an I proposition (Some S are P). The conclusion in example 2 is an O proposition (Some S are not P).

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Given expression: In(X-2)/75 + In(9x)/75.

To write the following expression as a sum and/or difference of logarithms we will use the logarithmic identities,

ln(ab) = ln(a) + ln(b)

ln(a/b) = ln(a) - ln(b)

Firstly, rewrite the given expression by combining the two fractions.

In(X-2)/75 + In(9x)/75

= ln((X-2)(9x))/75

Secondly, express ln((X-2)(9x)) as a sum and/or difference of logarithms by using the logarithmic

identity ln(ab) = ln(a) + ln(b)

Apply the logarithmic identity ln((X-2)(9x)) = ln(X-2) + ln(9x).

Then, the given expression, In(X-2)/75 + In(9x)/75 can be expressed as a sum and/or difference of logarithms and it is simplified to be ln(X-2) + ln(9x))/75.

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Answer:

Answer on a graph

ANSWER

sin ∠D = 0.86

EXPLANATION

The sine of an angle of a right triangle is:

This is triangle DEF:

So the sine of angle D is side EF divided by side DE:

Answer:

B= 36

Step-by-step explanation

I reported the other answers and they got deleted this is the right answer

Answer:

5x - 5

Step-by-step explanation:

We need to write a bionomial with ,

Definition of Binomial :-

Here let the variable be x . So one such bionomial can be ,

→ 5x - 5

Answer:

\( \sf \: a) \: 27 = 9p \: ; p = 3\)

Step-by-step explanation:

Given information,

→ Simon have 27 pieces of candy.

→ Each person will get 9 pieces.

Now we have to,

→ Find the required equation.

The equation will be,

→ 27 = 9p

→ 9p = 27

=> As each person (p) gets 9 pieces.

Then the value of p will be,

→ 9p = 27

→ p = 27 ÷ 9

→ [ p = 3 ]

Hence, option (a) is correct.

The upper control limit of the three-sigma process is approximately 3.807 defective units per sample.

To calculate the upper control limit (UCL) of the three-sigma (z) process, we first need to find the average number of defective units per sample and the standard deviation.
1. Calculate the average number of defective units per sample (p-bar):

Divide the total number of defective units (150) by the number of samples (40).
p-bar = 150 / 40 = 3.75 defective units per sample
2. Calculate the proportion of defective units (p) in each sample:

Divide the average number of defective units (3.75) by the sample size (100).
p = 3.75 / 100 = 0.0375
3. Calculate the standard deviation (σ) of the process using the formula:

σ = √(p * (1 - p) / n),

where n is the sample size.
σ = √(0.0375 * (1 - 0.0375) / 100)

= √(0.03609375 / 100) ≈ 0.0190
4. Calculate the three-sigma upper control limit (UCL) using the formula:

UCL = p-bar + 3 * σ
UCL = 3.75 + 3 * 0.0190 ≈ 3.75 + 0.057 ≈ 3.807.

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Answer:

They both sold $40 worth of cookies.

Step-by-step explanation:

Using multiples the first multiple that 10 and 8 have in common is 40.

10,20,30,40

8,16,24,32,40

To determine Emma's federal income tax (FIT) withholding, we need to consider her annual salary, pay frequency, filing status, and the standard withholding allowances.

Given that Emma earns an annual salary of $84,400 and is paid biweekly, we can calculate her gross biweekly salary by dividing the annual salary by the number of pay periods in a year. Assuming there are 26 pay periods in a year for biweekly payments:

Gross biweekly salary = Annual salary / Number of pay periods

                    = $84,400 / 26

                    = $3,246.15 (rounded to two decimal places)

Next, we need to determine Emma's withholding allowances based on her filing status. Since she selected "married filing jointly" and is using the standard withholding, the default number of allowances for this status is usually higher compared to single or married filing separately. However, the specific number of allowances can vary based on personal circumstances.

As of my knowledge cutoff in September 2021, the standard withholding allowances for married filing jointly were as follows:

First allowance: $4,300

Additional allowances: $4,400

Please note that tax laws can change, and it's advisable to consult the latest IRS guidelines or use an online tax calculator to get accurate withholding information.

To calculate Emma's FIT withholding, we'll subtract her allowances from her gross biweekly salary and apply the appropriate tax rates. For simplicity, let's assume Emma has one withholding allowance:

Total allowances = First allowance + Additional allowances

               = $4,300 + $4,400

               = $8,700

Taxable income = Gross biweekly salary - Total allowances

             = $3,246.15 - $8,700

             = -$5,453.85 (negative because allowances exceed the salary)

Since the taxable income is negative, Emma's FIT withholding should be $0. In this case, no federal income tax will be withheld from her biweekly paychecks. However, please note that Emma may still owe taxes when filing her annual tax return if her other sources of income or deductions are not accounted for in her withholding calculations.