Allyson completed the division below.

9 StartLongDivisionSymbol 187.2 EndLongDivisionSymbol minus 18 = 07 minus 0 = 72. 72 minus 72 = a remainder of 0 and a quotient of 20.8.

What is Allyson’s error?
She included a 0 in the quotient that does not belong.
She multiplied the dividend by 100 instead of 10.
She should have multiplied both numbers by 100.
She did not subtract correctly in one of the steps.

Answer:

The answer is 6/25 :8/25

Answer:

d. x=4

Step-by-step explanation:

So we have the following equation: \(log_{(3x-7)}25=2\)

Now to understand how we can rewrite this equation, let's go over the definition of a log: \(log_ba=x\implies b^x=a\)

So this value of "log base b of a" Is equal to the value that I have to raise the base b to, to get the result a

So when I have the equation: \(log_{(3x-7)}25=2\)

This is essentially saying, I have to raise (3x-7) the base, to the power of 2, to get the result of 25

So let's rewrite it using the definition of a log

\((3x-7)^2=25\)

Take the square root of both sides

\(3x-7=5\)

add 7 to both sides

\(3x=7+5\)

Now divide both sides by 3

\(x=\frac{7\pm5}{3}\)

Simplifying:

\(x=4\)

There are 12 different outfits that can be put together using the given 3 different pairs of pants, 2 shirts, and 2 pairs of shoes.

There are 12 different outfits that can be put together using 3 different pairs of pants, 2 shirts, and 2 pairs of shoes.

How to solve the problem:

To find out the number of different outfits that can be put together using the given 3 different pairs of pants, 2 shirts, and 2 pairs of shoes, we will simply multiply the number of options for each category together.

Number of options for pants = 3

Number of options for shirts = 2

Number of options for shoes = 2

Number of different outfits that can be put together

= 3 × 2 × 2

= 12

Therefore, there are 12 different outfits that can be put together using the given 3 different pairs of pants, 2 shirts, and 2 pairs of shoes.

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Answer:

Step-by-step explanation:

8.2×10^9 ×4.5×10^{-5}=36.9×10^4

Answer:

its c 3.69x105

Step-by-step explanation:

The derivative dx/dy of the equation 2x+3y=sin(x) is (3y) / cos(x).

To find dx/dy of the equation 2x+3y=sin(x), we can differentiate both sides using the chain rule and solve for dx/dy.

To find dx/dy, we need to differentiate both sides of the equation 2x+3y=sin(x) with respect to y. Let's start by differentiating the left-hand side (LHS) and the right-hand side (RHS) separately.

For the LHS, we have two terms: 2x and 3y. The derivative of 2x with respect to y is 0 since x does not depend on y. The derivative of 3y with respect to y is simply 3, as y is being differentiated with respect to itself.

Now, let's differentiate the RHS. The derivative of sin(x) with respect to y requires the chain rule. The chain rule states that if u = f(x) and x = g(y), then du/dy = (du/dx) * (dx/dy). In this case, u = sin(x) and x = g(y) (which means x is a function of y).

The derivative of sin(x) with respect to x is cos(x), and the derivative of x with respect to y is dx/dy. Therefore, applying the chain rule, we have du/dy = cos(x) * (dx/dy).

Now, equating the derivatives obtained for both sides of the equation, we have 0 + 3y = cos(x) * (dx/dy). Simplifying, we find dx/dy = (3y) / cos(x).

Therefore, the derivative dx/dy of the equation 2x+3y=sin(x) is (3y) / cos(x).

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Answer:

D) maximum height = 26 feet and minimum height = 8 feet

Step-by-step explanation:

100% on edge

Answer:D on edge

Step-by-step explanation:

the guy above is right .

The percentage of 10-year-olds who cannot go on the ride is approximately 43.32%.

To find the percent of 10 year olds who cannot go on the ride, we need to calculate the area under the normal distribution curve below the height requirement of 54 inches.

First, we need to standardize the height requirement using the formula z = (x - μ) / σ, where x is the height requirement, μ is the mean, and σ is the standard deviation.

Plugging in the values, we get z = (54 - 55) / 6 = -0.17.

Next, we need to find the cumulative probability associated with the z-score of -0.17. We can use a standard normal distribution table or a calculator to find this value.

Using a standard normal distribution table, we find that the cumulative probability associated with a z-score of -0.17 is approximately 0.4332.

This means that approximately 43.32% of 10-year-olds cannot go on this ride, since their height is below the requirement of 54 inches.

The percentage of 10-year-olds who cannot go on the ride is approximately 43.32%.

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For 2 sec the snowboarder in the air.

We have,

The height (in feet) of a snowboarder above the bottom of the half-pipe can be modeled by h=-16t²+24t + 16.4

So, 3.2 = -16t² + 24t + 16.4

-16t² + 24t + 12.4 = 0

Now, solving the above quadratic equation we get

t = -0.40650, 1.90650

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Answer: It is not possible

Step-by-step explanation:

to have a triangle with sides 5 cm, 3 cm and 2 cm. Sum of any two sides of a triangle must be greater than the third side.

3 cm + 2 cm = 5 cm

Answer:

?

Step-by-step explanation:

Answer:

$220

Step-by-step explanation:

Because, from 1 to 20 there are 10 odd numbers (1, 3, 5, 7, 9, 11, 13, 15, 17, 19) so it is said that for one odd number you win $22, as for 10 odd numbers, that is $22 x 10 which is $220

The addition of the polynomial \(x^{3}+3xy-2xy^{2} +y^{3}\) with \(2x^{3}-5x^{2} y-3xy^{2}-2y^{3}\) is  \(3x^{3}+3xy-5x^{2} y-5xy^{2}-y^{3}\).

What is a polynomial?

⇒ A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

⇒ In the addition of polynomials, the like terms are added while in subtraction, the like terms are subtracted.

Calculation;

We have been given two polynomial which we have to add   \(x^{3}+3xy-2xy^{2} +y^{3}\) and \(2x^{3}-5x^{2} y-3xy^{2}-2y^{3}\)

The sign after addition or subtraction will always be of the variable having more value.

\((x^{3}+3xy-2xy^{2} +y^{3} )+(2x^{3}-5x^{2} y-3xy^{2}-2y^{3})\)

On adding like terms with each other

⇒ \((x^{3} +2x^{3})+ 3xy-5x^{2} y-(2xy^{2}+3xy^{2})+(y^{3}-2x^{3})\)

⇒ \(3x^{3}+3xy-5x^{2} y-5xy^{2}-y^{3}\)

Hence the addition of the polynomial\(x^{3}+3xy-2xy^{2} +y^{3}\) and \(2x^{3}-5x^{2} y-3xy^{2}-2y^{3}\) is \(3x^{3}+3xy-5x^{2} y-5xy^{2}-y^{3}\).

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A) The estimated cost per year for Jorden would be:

   $X - ($7,500 + $3,700)

B) Jo needs to contribute each year:

    65% of $Y = 0.65 * $Y

Estimating cost means to calculate the approximate amount of money required for a particular expense or project.

It may involve considering various factors, such as known costs, expected expenses, and potential variables that may affect the final cost.

To estimate Jorden's cost per year, we need to subtract the scholarships, grants, and work-study earnings from the total cost of attendance. Let's assume the total cost of attendance is $X.

Given:

Scholarships and grants = $7,500 per year

Work-study earnings = $3,700 per year

So, the estimated cost per year for Jorden would be:

$X - ($7,500 + $3,700)

B) To calculate Jo's contribution, we need to find 65% of the estimated cost per year. Let's assume the estimated cost per year is $Y.

Given:

Estimated cost per year = $Y

Family contribution percentage = 65%

So, Jo's contribution per year would be:

65% of $Y = 0.65 * $Y

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The common ratio of the sequence is 0.5.

The common ratio of a geometric sequence can be found by dividing any term by its previous term. Let's call the first term "a" and the common ratio "r". Then we have:

third term = a * r^2 = 100

eighth term = a * r^7 = 3.125

We can divide the equation for the eighth term by the equation for the third term to eliminate "a":

\((a * r^7) / (a * r^2) = 3.125 / 100\)

\(r^5 = 0.03125\)

r = 0.5

Therefore, the common ratio of the sequence is 0.5.

We are given two terms of a geometric sequence and are asked to find the common ratio. We can use the formula for the nth term of a geometric sequence to write two equations involving the first term "a" and the common ratio "r". By dividing the two equations, we can eliminate "a" and solve for "r". In this case, we get a fifth degree equation for "r", which we can solve using a calculator or by recognizing that 0.03125 is equal to 1/32, and therefore r is equal to the fifth root of 1/32, which simplifies to 0.5.

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Answer: 720 dollars

Step-by-step explanation:

after 28 days they make 18 dollars an hour, 18 x 40 = 720

Answer: Ele receberá 1.120 reais.

Step-by-step explanation:

40x28=1.120

Answer:

0.20

Step-by-step explanation:

I hope it's help, thanks

Answer:

B) 6(x-5) (x+5)

Step-by-step explanation:

Common factor.

6 ( ^2 − 25)

Use the sum-product pattern.

6 ( ^2+5−5−25).

Common factor from the two pairs.

6((+5)−5(+5)).

Rewrite in factored form.

6 ( − 5 ) ( + 5).

The volume of the composite figure is approximately 2,405.33 \(in^{3}\) . It's difficult to visualize the composite figure you're referring to without a diagram, but I will assume that it consists of a cylinder of radius 8 in and height 16 in, on top of a hemisphere of radius 8 in.

The volume of a cylinder is given by the formula V = π\(r^{2}\)h, where r is the radius and h is the height. So, the volume of the cylinder is

V_cyl =  π(\(8 in)^2\)(16 in) = 2,048π \(in^{3}\).

The volume of a hemisphere is given by the formula V = (2/3)π\(r^{3}\). Since we only need half of the hemisphere, we'll divide this formula by 2 to get

V_hem = (1/3)π\((8 in)^3^\) = 2,144/3π \(in^{3}\).

The total volume of the composite figure is the sum of the volume of the cylinder and half the volume of the hemisphere.

Therefore, V_total = V_cyl + V_hem/2 = 2,048π + 2,144/6π = (12,288π + 2,144π)/6 = 14,432π/6 = 2,405.33... \(in^3\) (using π ≈ 3.14).

So, the volume of the composite figure is approximately 2,405.33 \(in^3\).

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Answer: $9,500

Step-by-step explanation:

If the value of the car depreciates by 5% in a year it means that the value of the car reduced by 5%.

First find the 5%:

= 5% * 10,000

= $500

Subtract this from the initial value to find the value after a year:

= 10,000 - 500

= $9,500

Answer:

$ 9500

Step-by-step explanation:

From the question given above, the following data were obtained:

Initial value = $ 10000

Depreciation rate = 5%

Value after one year =?

Next, we shall determine the depreciation value. This can be obtained as follow:

Initial value = $ 10000

Depreciation rate = 5%

Depreciation value =?

Depreciation value = Initial value × rate

Depreciation value = 10000 × 5%

Depreciation value = 10000 × 5/100

Depreciation value = $ 500

Finally, we shall determine the value of the car after one year. This can be obtained as follow:

Initial value = $ 10000

Depreciation value = $ 500

Value after one year =?

Value after one year = Initial value – Depreciation value

Value after one year = 10000 – 500

Value after one year = $ 9500

Therefore, the value of the car after one year is $ 9500

A. To determine if an integral is convergent, we analyze the function's behavior, integrability, apply integration techniques, and examine its limits, ensuring they are finite, leading to a finite result.

B. To determine if an integral is divergent, we look for infinite limits, vertical asymptotes, and erratic behavior within the integration interval, indicating the lack of a finite value for the integral.

A. To determine if an integral is convergent, we need to consider several approaches. First, we check for basic convergence criteria such as infinite limits or vertical asymptotes.

Then, we examine integrability, ensuring the function is continuous or has a finite number of discontinuities. Next, we simplify the integral using integration techniques.

Finally, we analyze the behavior of the function at infinity and apply comparison tests if necessary to establish convergence.

B. To determine if an integral is divergent, we follow a series of steps. First, we check for basic divergence criteria such as infinite limits or vertical asymptotes.

Then, we examine integrability, looking for discontinuities that prevent integration. Next, we simplify the integral using integration techniques. Finally, if the integral does not converge, it is deemed divergent.

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Answer:

m∠A = 115°

m∠C = 50°

Step-by-step explanation:

By triangle sum theorem,

Sum of measures of all interior angles of a triangles equals to 180°.

m∠A + m∠B + m∠C = 180°

By substituting the values of the angles from the given table,

(4x - 13) + 15 + (x + 18) = 180

(4x + x) + (-13 + 15 + 18) = 180

5x + 20 = 180

5x = 180 - 20

x = \(\frac{160}{5}\)

x = 32

m∠A = (4x - 13)° = 4(32) - 13

                          = 115°

m∠C = (x + 18)° = 32 + 18

                         = 50°

Based on the properties of the internal angles in triangles, the measure of the angles A and C from the triangle ABC are equal to 115° and 50°, respectively. #SPJ5

According to geometry, triangles are figures formed by three sides and three internal angles and, likewise, the sum of the measures of the internal angles equals 180°. Based on the latter property, we should solve the following expression for x:

(4 · x - 13) + 15 + (x + 18) = 180

5 · x + 20 = 180

5 · x = 160

x = 32

Finally, the measure of the angles A and C from the triangle ABC are, respectively:

m ∠ A = 4 · 32 - 13 = 115°

m ∠ C = 32 + 18 = 50°

Based on the properties of the internal angles in triangles, the measure of the angles A and C from the triangle ABC are equal to 115° and 50°, respectively. #SPJ5

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the variable is x, that's all

Answer:

x is the variable

3 is the coefficient, 7 is the constant, and + is the operator.

Here's how to identify other terms:

Answer:

the answer is c !!! :)

Step-by-step explanation:

yeah, so period.

Answer:

64 miles

Step-by-step explanation:

if you divide 28 by 3.5, this gives you the number of miles per hour, I got 8. Multiply that by 8 because that is the number of hours we are looking for and you get 64. That is the answer.

Answer:

9

Step-by-step explanation:

The diagram showing the three pieces of paper of three digit in which two of the letters were covered can be seen below.

From the diagram; we have;

243 , 1_7 , _26

Assuming the covered digits are _

The sum is 826.

i.e

243 + 1_7 + _26 = 826

The objective is to determine the sum of the two unknown digits

So; we need to think about what number can we add put in 1_7 to determine the covered digit in  _26

From ; 1_7 , we have the choice to pick from 0 - 9

Assuming the covered digit is 0; let's check if we are right

So; 243 + 107  +  _26 = 826

350 +   _26 = 826

_26 = 826 - 350

_26 = 476

So; the covered digit is in the position of 4 , but it doesn't tally together

i.e 426 is not the same as 476, which makes our assumption to be wrong.

Let consider the covered digit to be 5 for example.

So; 243 + 157  +  _26 = 826

400 +   _26 = 826

_26 = 826 - 400

_26 =  426

The covered digit is in the position of 4

SO;

426 = 426

Here , our assumption is right.

As such , the covered digits are 5 and 4

The sum of the two  covered digits are = 5 + 4 = 9

If a function has a doubling time, it typically indicates an exponential growth function. Exponential growth occurs when a quantity increases at a constant relative rate over time. The doubling time refers to the amount of time it takes for the quantity to double in size.

In an exponential growth function, the rate of growth is proportional to the current value of the quantity. This leads to a doubling effect over time, where the quantity grows exponentially.

The doubling time can be calculated by dividing the natural logarithm of 2 by the growth rate. The growth rate is represented by the base of the exponential function, usually denoted as "r."

For example, if a population is growing exponentially with a doubling time of 10 years, it means that every 10 years the population doubles in size.

This doubling pattern continues as long as the exponential growth persists. Exponential growth can be observed in various natural phenomena, such as population growth, compound interest, or the spread of infectious diseases.

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When two variables move in opposite directions, the curve relating them is upward sloping, and we say the variables are positively related is True.

A negative correlation is a relationship between two variables that move in opposite directions. In other words, when variable A increases, variable B decreases. A negative correlation is also known as an inverse correlation.

The negative correlation is important for investors or analysts who are considering adding new investments to their portfolio. When market uncertainty is high, a common consideration is rebalancing portfolios by replacing some securities that have a positive correlation with that have a negative correlation.

The common examples of a negatively correlated relationship between assets:

1. Oil prices and airline stocks, Gold prices and stock markets (most of the time, but not always) and Any type of insurance payoff

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The probability that the sample proportion of airborne viruses in differ from the population proportion by greater than 3% is 0.006.

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The information provided is:

n = 596

p = 0.09

The mean and standard deviation are:

Compute the probability that the sample proportion of airborne viruses in differ from the population proportion by greater than 3% as follows                      

Hence, the probability that the sample proportion of airborne viruses in differ from the population proportion by greater than 3% is 0.006.

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Answer:

F

Step-by-step explanation:

using the cosine ratio in the right triangle and the exact value

cos45° = \(\frac{\sqrt{2} }{2}\) , then

cos45° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{s}{6}\) = \(\frac{\sqrt{2} }{2}\) ( cross- multiply )

2s = 6\(\sqrt{2}\) ( divide both sides by 2 )

s = 3\(\sqrt{2}\)

The length of side s in the given square is 3√2 units. Therefore, option F is the correct answer.

The sides and angles of a right-angled triangle are dealt with in Trigonometry. The ratios of acute angles are called trigonometric ratios of angles. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

From the given square, each sides measures s units and the diagonal measures 6 units.

We know that, sinθ=Opposite/Hypotenuse

Now, sin45°=s/6

1/√2 =s/6

s=6/√2

s=3√2

Therefore, option F is the correct answer.

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