PLEASE HELP!!!!!!!!!!

Using the formula for the area of a rectangle, the area of the cellphone is 18x⁻¹y⁸ OR 18y⁸/x

From the question, we are to calculate the area of the cellphone shown in the diagram

From the given information,

We have a diagram that shows a cellphone which is rectangular in shape.

Thus,

We will use the formula for finding the area of a rectangle to calculate the area of the cellphone.

Area of a rectangle = Length * Width

From the given information,

Length of the cellphone = 6x²y⁶

Width of the cellphone = 3x⁻³y²

Thus,

Area of the cellphone = 6x²y⁶ × 3x⁻³y²

Area of the cellphone = 6 × 3 × x² × x⁻³ × y⁶ × y²

Area of the cellphone = 18 × x⁻¹ × y⁸

Area of the cellphone = 18x⁻¹y⁸ OR 18y⁸/x

Hence,

The area of the cellphone is 18x⁻¹y⁸ OR 18y⁸/x

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Answer:

3cm+2cm+5cm=10cm

%=100

10*10=100

2cm*10=20%

Step-by-step explanation:

the shaded area is width of 2 2/10 or 20/100

Answer:

33%

Step-by-step explanation:

for if u want to do it 4cm then

4+3+3=10

100π cm^2

49π cm^2

16π cm^2

49π - 16π = 33π

33/100 =33%

Answer:

\(8x + 32y\)

Step-by-step explanation:

Given

\(2(x+ y) + 5(x+7y)\)

Required

Expand and identify the steps

\(2(x+ y) + 5(x+7y)\)

Apply distributive property

\(3x + 2y+ 5x + 35y\)

Apply associative property

\(3x + 5x + 2y+ 35y\)

\(8x + 32y\)

Answer:

Step-by-step explanation:

Given the sequence \(a_n = \frac{9+14n^{2} }{n+15n^{2} }\)

To find the limit of the sequence, we will first divide the numerator and the denominator through by the highest power of n which is n² as shown;

\(\lim_{n \to \infty} \frac{9/n^{2} +14n^{2}/n^{2} }{n/n^{2} +15n^{2}/n^{2} }\\ \lim_{n \to \infty} \frac{9/n^{2} +14 }{1/n +15n^{2}/n^{2 }}\\\)

As \(n\) tends to \(\infty\), \(\frac{a}{n}\) tends to zero where n is any constant, The limit of tyhe sequence as n tends to infinity becomes;

\(= \frac{9/\infty+14 }{1/\infty+15 }\\= \frac{0+14}{0+15} \\= 14/15\\\)

Therefore \(\lim_{n \to \infty} \frac{9+14n^{2} }{n+15n^{2} } = 14/15\)

Since the limit of the sequence gave a finite number , the sequence converges.

Note that the only case when the sequence diverges id when the limit of the sequence is infinite

Answer:

412.92

Step-by-step explanation:

\(A = P(1+\frac{r}{n} )^{nt}\)

A: Amount, P: Principal, r: interest, n: no.of times compounded yearly and t: time in years

We have P = 300

r = 4% = 0.04

n = 12 (compounded monthly)

t = 8

\(A = 300(1+\frac{0.04}{12} )^{12*8}\\\\300(\frac{12.04}{12} )^{96}\\\\= 412.92\)

Answer:

The third answer is correct

Step-by-step explanation:

Solve the inequality by compensating it like an equation.

Answer:

3rd line

Step-by-step explanation:

The length of the piece of wire used by Muhu is

10.5π cm

The length of the wire is solved using the formula for perimeter of semi circle which is

πd/2

For PS

= (π * 12 cm) / 2

= 6π cm

For QS

= (π * 6 cm) / 2

= 3π cm

For QR

= (π * 3 cm) / 2

= 1.5 π cm

The length of the wire

= 6π cm + 3π cm + 1.5 π cm

= 10.5π cm

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From the situation described in this problem, it is found that:

A. The composite function is: f(s(w)) = 36w + 30.

B. The unit of measurement of the composite function is: flowers.

C. After 36 weeks, Daisy can expect to bloom 1326 flowers.

For a composite function, the output of the inner function serves as the input of the outer function.

In the context of this problem, the functions are given as follows:

Hence the composite function that represents how many flowers Daisy can expect to bloom over a certain number of weeks is:

f(s(w)) = f(12w) = 3(12w) + 30 = 36w + 30.

The unit of measurement of the composite function is the unit of the outer function, which is flowers.

After 36 weeks, the number of flowers that Daisy can expect to bloom is given as follows:

f(s(36)) = 36(36) + 30 = 1326 flowers.

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The correct option regarding the number of bags filled by Nina, using proportions, is given as follows:

Between 20 and 30 bags.

A proportion is a fraction of an amount, and this fraction is combined with the unit rates of the problem and basic arithmetic operations, especially multiplication and division, to find the desired amounts in the context of the problem.

In this problem, a proportion is applied to find the number of bags filled by Nina, which is given by the division presented as follows:

Number of bags = Number of treats / Treats per bag.

The values of these parameters are given as follows:

Hence the numeric value of the expression is:

Number of bags = 78/3 = 26.

Which is a number between 20 and 30.

The problem states that Nina had 78 treats, and each bag has 3 treats, then it asks the correct option regarding the number of bags.

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Answer:

If (x - 2) is a factor of 2x³ + x² - 3 then for the value of x = 2 the polynomial is equal zero.

Substitute:

2 · 2³ + 2² - 3 = 2 · 8 + 4 - 3 = 16 + 4 - 3 = 17 ≠ 0

Answer: B) (x - 2) is not a factor.

Answer:

expanded: 7+0.08

standard: 7.08

Step-by-step explanation:

The hundredths place is the second digit after the decimal, so 8 hundredths is 0.08.

Answer:

Min: 1

Q1: 2
Median: 7
Q3: 9
Max: 11.5

Step-by-step explanation:

The five bars of the box plot correspond (from left-to-right) to the numbers in the five-number summary.

The first bar represents the minimum, which in this case is 1.

The second bar represents the first quartile (Q1), which in this case is 2.

The third bar represents the median, which in this case is 7.

The fourth bar represents the third quartile (Q3), which in this case is 9.

And the fifth bar represents the maximum, which in this case is 11.5.

Answer:

Min: 1

Q1: 2

Median: 7

Q3: 9

Max: 11.5

Step-by-step explanation:

I hope it helps:)

Answer:

r would be replaced with a and the answer is b so a2 + a - 72 = b

Step-by-step explanation:

Answer:

The scale is 1/60

Step-by-step explanation:

There is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.

To find the probability that a box of cereal is underfilled by 5 g or more, we need to calculate the probability of obtaining a weight measurement below 345 g.

First, we can standardize the problem by using the z-score formula:

z = (x - μ) / σ

Where:

x = the weight value we want to find the probability for (345 g in this case)

μ = the mean weight (350 g)

σ = the standard deviation (4 g)

Substituting the values into the formula:

z = (345 - 350) / 4 = -1.25

Next, we can find the probability associated with this z-score using a standard normal distribution table or a statistical calculator.

The probability of obtaining a z-score less than -1.25 is approximately 0.1056.

However, we are interested in the probability of underfilling by 5 g or more, which means we need to find the complement of this probability.

The probability of underfilling by 5 g or more is 1 - 0.1056 = 0.8944, or approximately 89.44%.

Therefore, there is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.

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Answer:

Another rational number

For the cicle with intersecting chords the relation between the length of segments of chords is,

Substitute the values in the equation and solve for x.

So value of x is 4.

The equation for the length of chord KZ is,

Substitute the value of x in equation to determine the length of KZ.

So answer is 12.

Answer:

8

Step-by-step explanation:

let x be the number , then

\(\frac{3}{4}\) x = 27 ( multiply both sides by 4 to clear the fraction )

3x = 108 ( divide both sides by 3 )

x = 36

the number is 36, so

\(\frac{2}{9}\) × 36 = 2 × 4 = 8

The two ninths of the number is 8

We know that Three quarters of a number is  \(\frac{3}{4}\)  times of a number

Hence we will assume the number x ,

                     \(\frac{3}{4} of x = 27\)

                     \(x = 27 X \frac{4}{3}\)

                       \(x = 36\)

Now as we know the number is 36

Therefore , the two ninths of the number assumed as y

We will multiply the number 36 by 2 and then divide by 9

Hence,

                           \(y = 36 X \frac{2}{9}\)

                               \(y = 8\)

Thus, the two ninths of the number 36  is 8                            

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Answer: - 21/16 = 15/16 (simplified)

= - 1.3125 convert decimal to fraction

= - 13125/10000

= - 21/16 = 15/16  (simplified)

Option A shows the Venn diagram representing the union of these two events.

A Venn Diagram divides a data-set into separate regions, which are correspond to each activity in the context of the problem.

The intersection region is the region that corresponds to the people sharing both features, with are M and B.

The union region is the region showing at least one of the two features, M and B, hence it is the region in which all the circles are painted.

Hence option a is the correct option in the context of this problem.

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Answer:

The pvalue of the test is 0.0001 < 0.02, which means that we reject the null hypothesis and accept the alternate hypohteis that the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%.

Step-by-step explanation:

Proportion of all children in the United States who currently live with at least one grandparent is higher than 11%

This means that the null hypothesis is:

\(H_0: p = 0.11\)

And the alternate hypothesis is:

\(H_a: p > 0.11\)

The test statistic is:

\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, \(\sigma\) is the standard deviation and n is the size of the sample.

0.11 is tested at the null hypothesis:

This means that \(\mu = 0.11, \sigma = \sqrt{0.11*0.89}\)

Suppose that in a recent sample of 1550 children, 214 were found to be living with at least one grandparent.

This means that:

\(n = 1550, X = \frac{214}{1550} = 0.1381\)

Value of the test statistic:

\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

\(z = \frac{0.1381 - 0.11}{\frac{\sqrt{0.11*0.89}}{\sqrt{1550}}}\)

\(z = 3.54\)

Pvalue of the test and decision:

This is the probability of finding a sample proportion above 0.1381, which is 1 subtracted by the pvalue of Z = 3.54.

\(z = 3.54\) has a pvalue of 0.9999

1 - 0.9999 = 0.0001

The pvalue of the test is 0.0001 < 0.02, which means that we reject the null hypothesis and accept the alternate hypohteis that the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%.

\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{8.4\% of 16.83}}{\left( \cfrac{8.4}{100} \right)16.83} ~~ \approx ~~ 1.41~\hfill \underset{ Total~for~lunch }{\stackrel{ 16.83~~ + ~~1.41 }{\approx\text{\LARGE 18.24}}}\)

A. The percentage of the survey respondents that do not like both hamburgers and burritos is 26.34%.

B. The marginal relative frequency of all customers who like hamburgers is 53.66%.

C. Using the conditional relative frequencies of the data point, the strongest association of its two factors shows liking hamburgers and not liking burritos is the case.

The completion of the table for the data analysis is as follows:

                          Likes Hamburgers   Does not like Hamburgers    Total

Likes burritos                    29                                41                           70

Does not like burritos       81                                54                         135

Total                                  110                               95                        205

A. The percentage of the survey respondents that do not like both hamburgers and burritos is 26.34% (54/205 x 100).

B. The marginal relative frequency of all customers who like hamburgers is 53.66% (205 - 95)/205 X 100.

C. The conditional relative frequencies:

Likes of hamburgers = 53.66% (110/205 x 100)

Dislikes of hamburgers = 46.34% (95/205 x 100)

Likes of burritos = 34.15% (70/205 x 100)

Dislikes of burritos = 65.85% (135/205 x 100).

Thus, we can conclude that based on the conditional relative frequencies more customers of the food truck like hamburgers (53.66%) compared to those who like burritos (34.15%).

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Answer:

111.22

\(A = \pi r^2 = \pi * r^2 = 111.22\)

Answer:

x = -22

Step-by-step explanation:

Now we have to,

→ Find the required value of x.

The equation is,

→ (1/2)(4x + 8) = -40

Then the value of x will be,

→ (1/2)(4x + 8) = -40

→ (4x + 8)/2 = -40

→ (4x/2) + (8/2) = -40

→ 2x + 4 = -40

→ 2x = -40 - 4

→ 2x = -44

→ x = -44/2

→ [ x = -22 ]

Hence, the value of x is -22.

The value of the stock yield will be;

⇒ 3.1%

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

McDonald’s Corp (MCD) stock is selling for $90.24 per share.

And, They offer a dividend of $2.80 per share.

Now,

Since, McDonald’s Corp (MCD) stock is selling for $90.24 per share.

And, They offer a dividend of $2.80 per share.

Hence, The value of the stock yield is;

⇒ 2.80/90.24  ×  100

⇒ 0.0310 × 100

⇒ 3.1%

Thus, The value of the stock yield will be;

⇒ 3.1%

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