If (x-15) is a factor of a polynomial then complete the following equation f(15)=

Answer:

perimeter equals 66

sides: 23,23,10 10

1st method:-

\( \frac{ - 40}{5} \) can also be written as\( - 40 \times \frac{1}{5} \)

We know that anything we multiply ( except 0 ) with a negative number , the product is also a negative number.

2nd method:-

\( \frac{ - 40}{5} = - 8\) We can write - 8 as \(8 \times ( - 1)\)

We know that anything we multiply ( except 0 ) with a negative number , the product is also a negative number.

The constant of proportionality from the proportional relationship is 3/2

A proportional relationship is a mathematical relationship between two variables in which their ratio is always equal. In other words, if x and y are in a proportional relationship, then y/x is always equal to a constant value, called the constant of proportionality. This can be expressed mathematically as y = kx, where k is the constant of proportionality and x and y are the variables in the relationship.

To determine the constant of proportionality, we need to use the proportional relationship given.

y = kx

k = constant of proportionality

3/8 = k(1/4)

Solve for k

k = [(3/8) / (1/4)]

k = 3/2

k = 1.5

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Answer:

Zero

Step-by-step explanation:

Since all the ice cream sold has exactly one flavor and one treat, a chocolate ice cream can't have a blue swirl. This means that the number of chocolate ice cream with blue swirl is zero. Therefor the probability is zero.

Answer:

It is 8.1 × 10^-7

Step-by-step explanation:

\( {(9 \times {10}^{ - 4} )}^{2} \\ = \{{9}^{2} \times {10}^{( - 4 \times 2)} \} \\ = 81 \times {10}^{ - 8} \\ = 8.1 \times {10}^{ - 7} \)

☆Concept:-

The Question is based on the law of exponents .

The law to be used in this question is

\(\boxed{\sf a^m\times a^n=a^{m+n}}\)

Solution:-

\(\\ \tt\longmapsto (9\times 10^{-4})^2\)

\(\\ \tt\longmapsto 9^2\times 10^{-4(2)}\)

\(\\ \tt\longmapsto 81\times 10^{-8}\)

\(\\ \tt\longmapsto 8.1\times 10^{-7}\)

Answer:

m

Step-by-step explanation:

the slope or growth rate of the function is the coefficient of the variable x, which is m in this case

Adding and subtracting fractions with different denominators can be challenging, but there are steps you can follow to simplify the process. Find the least common multiple (LCM) of the denominators.

When adding or subtracting fractions with different denominators, the first step is to find the least common multiple (LCM) of the denominators. The LCM is the smallest multiple that both denominators can divide evenly into. Once you have the LCM, convert the fractions to have the same denominator by multiplying the numerator and denominator of each fraction by a factor that makes the denominators equal to the LCM.

After converting the fractions, you can add or subtract the numerators and keep the common denominator. Once you have the result, check if it can be simplified further by reducing it to its simplest form, if necessary.

For example, let's say you have the fractions 1/4 and 3/8. The LCM of 4 and 8 is 8. To make the denominators equal, multiply 1/4 by 2/2 (2 is the factor needed to make 4 equal to 8) and multiply 3/8 by 1/1. This gives you 2/8 and 3/8, which have the same denominator. You can then subtract the numerators to get 2/8 - 3/8 = -1/8. In this case, the result is already in its simplest form and cannot be further reduced.

By following these steps, you can add or subtract fractions with different denominators and obtain the result in its simplest form.

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The length of the third side is BC ≈ 1315.5.

Let the two sides of the triangle with given altitudes be AB=1010 and AC=1515. Let h be the length of the altitude from A to BC.

Let D and E be the feet of the perpendiculars from A to BC and from B to AC, respectively. Then we have:

BD = AB - AD = 1010 - h

CE = AC - AE = 1515 - h

Since the length of the altitude from A to BC is the average of the lengths of the altitudes to the two given sides, we have:

h = (BD + CE) / 2

h = [(1010 - h) + (1515 - h)] / 2

2h = 2525 - h

3h = 2525

h = 2525 / 3

Now we use the Pythagorean theorem on the right triangle ABD:

\(AD^2 + BD^2 = AB^2\)

\(h^2 + (1010 - h)^2 = 1010^2\)

Expanding and simplifying, we get:

\(2h^2 - 2020h + 515 = 0\)

Solving for h using the quadratic formula, we get:

h = \((2020 ± sqrt(2020^2 - 4(2)(515))) / (2(2))\)

h ≈ 808.6 or h ≈ 1511.4

We take the smaller value of h since the altitude is shorter than the length of the side opposite to it. Therefore, h ≈ 808.6.

Now we can use the Pythagorean theorem on the right triangle ABC:

\(BC^2 = AC^2 - h^2\)

\(BC^2 = 1515^2 - (808.6)^2\)

BC ≈ 1315.5

Therefore, the length of the third side is BC ≈ 1315.5.

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SOLUTION:

To eliminate y, we multiply equation (3) by 3;

Equation (4) - Equation (2);

Solving equations (1) and (5) simultaneously;

Substituting 4 for z in (1);

Since x = -1 and z = 4, we can now find y. Making use of the equation (3);

CONCLUSION:

Answer:

The answer is down below:

Step-by-step explanation:

Notebook: 22-x

Pens: (22 - x - 2) x 3.

Pencils: 22 - x - 2.

We use x for notebooks because it is the only item that doesn't have an "equation" for us to solve so we use "x" instead. hope this helped you out.

Notebook: 22-x

Pens: (22 - x - 2) x 3.

Pencils: 22 - x - 2.

We use x for notebooks because it is the only item that doesn't have an "equation" for us to solve so we use "x" instead. hope this helped you out .Notebook: 22-x

El gasto total de Sebastian fue de 1,725 soles.

Para calcular el gasto total de Sebastian, se suman los precios de cada uno de los artículos que compró. Sabemos que compró una bicicleta por 489 soles y un televisor que vale el doble de la bicicleta, es decir, 978 soles.

Luego, compró una refrigeradora que cuesta 348 soles más que el doble del televisor, lo que equivale a 2 x 978 + 348 = 2,304 soles. Finalmente, para calcular el gasto total, se suman los precios de los tres artículos: 489 + 978 + 2,304 = 3,771 soles. Por lo tanto, el gasto total de Sebastian fue de 1,725 soles.

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Answer:

163

Step-by-step explanation:

\(2*(7^{2}) +9(7)+2\)

\(2*(49)+9(7)+2\)

\(98+63+2\)

\(=163\)

The 90% confidence interval of the new product has the potential to make the company an additional $3.8 million is (2.81, 4.79), option B.

Confidence intervals quantify how confident or uncertain a sampling technique is. They can take any number of probability thresholds, with a 95% or 99% confidence level being the most popular. The calculation of confidence intervals is done using statistical techniques like the t-test.

\(\bar x = $3.8\)

sample standard deviation = s =1.7

sample size = n =10

Degrees of freedom = df = n - 1 = 10 - 1 = 9

At 90% confidence level

\(\alpha\) = 1 - 90%

\(\alpha\) =1 - 0.90 =0.1

\(\alpha/2\) = 0.05

\(t\alpha/2\) ,df = t0.05,9 =1.833

At 90% confidence level, the critical value is t = 1.833

The 90% confidence interval is:

\(\bar x \pm t*\frac{s}{\sqrt{n} }\)

\(=3.8\pm 1.833*\frac{1.7}{\sqrt{10}}\\\\=3.8\pm 0.99\)

=(2.81,4.79).

Therefore, 90% confidence interval estimate of the population mean is, (2.81,4.79).

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Complete question:

Market research indicates that a new product has the potential to make the company an additional $3.8 million, with a standard deviation of $1.7 million. If this estimate was based on a sample of 10 customers, what would be the 90% confidence interval? (2.76, 4.84) O (2.81, 4.79) (2.11, 5.56) (3.06, 4.54)

The capitalized cost of the equipment is $29,900 (option a).

To determine the capitalized cost of the equipment, we need to sum up all the costs associated with its acquisition and installation.

The costs include:

- Purchase price: $27,000

- Shipping cost: $400

- Installation cost: $1,000

- Increased insurance cost: $1,500

To find the capitalized cost, we add up these costs:

Capitalized cost = Purchase price + Shipping cost + Installation cost + Increased insurance cost

              = $27,000 + $400 + $1,000 + $1,500

              = $29,900

Therefore, the capitalized cost of the equipment is $29,900 (option a).

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If in lixue's garden the green pepper plants grew 5 inches in 3/4 months then at this rate they can grow 0.555 feet in one month

The problem is solved as per the unitary method

In lixue's garden the green pepper plants grew 5 inches in 3/4 months.

In 3/4 months the green pepper grew by 5 inches.

3/4 months can be written as 0.75 months

in 1 month the green pepper plant will grow by (5/0.75) 1

The green pepper plant will grow by 6.66 inches

1 foot is equals to 12 inches

1 inch = 1/12 foot

6.666 inches = (1/12) 6.666

= 0.0833 x 6.666

= 0.555

the plant grew 0.555 feet in 1 month

Therefore, if in lixue's garden the green pepper plants grew 5 inches in 3/4 months then at this rate,they can grow 0.555 feet in one month

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The homogeneity of variance assumption is an important concept in statistical analysis. It refers to the idea that the variances of different groups or samples in a study are equal or approximately equal. This assumption is crucial for several statistical tests, such as ANOVA, t-tests, and regression analysis.

When the homogeneity of variance assumption is met, it ensures that the comparisons made between the groups are valid and unbiased. In case this assumption is violated, the results of the statistical tests may be inaccurate or misleading.

To check for homogeneity of variance, researchers often use tests such as Levene's test or Bartlett's test. If the assumption is not met, there are alternative methods and tests that can be employed, such as Welch's ANOVA or the Brown-Forsythe test.

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Answer: you didn’t fully put the question

Step-by-step explanation:

Step-by-step explanation:

according to your question if we take away five from twelve the answer is 7

To calculate the cash balance at the end of the period, we need to consider the cash inflows and outflows.

Starting cash balance: $4,520

Cash inflows: $1,654 (receivables collected)

Cash outflows: $1,961 (payments to suppliers) + $500 (cash expenses)

Total cash inflows: $1,654

Total cash outflows: $1,961 + $500 = $2,461

To calculate the cash balance at the end of the period, we subtract the total cash outflows from the starting cash balance and add the total cash inflows:

Cash balance at the end of the period = Starting cash balance + Total cash inflows - Total cash outflows

Cash balance at the end of the period = $4,520 + $1,654 - $2,461

Cash balance at the end of the period = $4,520 - $807

Cash balance at the end of the period = $3,713

Therefore, the cash balance at the end of the period is $3,713.

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Answer:

0.1

Step-by-step explanation:

hope this helps

Answer: 0.1 / 0.10

Step-by-step explanation:

since the 2 is lower than 5 - it turns into 0

hope this helped ! :>

Answer:

no

Step-by-step explanation:

Answer & Step-by-step explanation:

\(\frac{-t-5}{3}=\frac{t-3}{5}\)

Cross multiply.

\(-5t-25=3t-9\)

Subtract -3 on both sides.

\(-8t-25=-9\)

Add 25 on both sides.

\(-8t=16\)

Divide -8 on both sides.

\(t=-2\)

Answer:

C

Step-by-step explanation:

m<2:

180 - 60 - 48 = 72

Vertical angle thm:

m<1 = 48

m<3:

180 - 62 - 48 = 70

Simpson's Paradox makes this claim possible.

The phenomenon whereby particular trends are prevalent in small data portions but are not evident or an inverse trend is observed when the portions are joined together is known as Simpson's paradox.

Whereby the data for calculating the batting averages as found online are given as follows:

Season                      Derek Jeter                           David Justice

1995                           12/48 = 0.250                         104/411 ≈ 0.253

1996                           183/582 ≈ 0.314                      45/140 ≈ 0.321

The overall hits to the overall bat's ratio are:

(183 + 12)/(582 + 48) ≈0.310   (104+45)/(411+140) = 0.27

This shows that  Derek Jeter's overall average was better than Justice's average.

Thus, Simpson's Paradox makes this claim possible.

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As per the given average, the team statistician claims Jeter's overall average was better than Justice's average is 0.27

Here we have given that the following table of data is presented

Time,                       Score of Derek Jeter               Score of David Justice

At 1995,                         ≈  0.250                                     ≈ 0.253

At 1996,                          ≈ 0.314                                      ≈ 0.321

Then the overall score for Derek Jeter is calculated by

=>  (183 + 12)/(582 + 48) ≈0.310  

And the overall score for  David Justice is calculated as

=> (104+45)/(411+140) = 0.27

Here the resulting values shows that  Derek Jeter's overall average was better than Justice's average  

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Answer: $10000

Step-by-step explanation:

From the question,

Principal = $43000

Time = 5 years

Rate = Unknown

Simple Interest = $51,600 - $43000 = $8600

We need to calculate the rate of interest which will be:

Interest = PRT/100

8600 = (43000 × 5 × Rate) / 100

Cross multiply

8600 × 100 = 215000 × Rate

Rate = 860000 / 215000

Rate = 4%

Assuming Justine borrowed $50,000 instead, the yearly Interest will be:

= (50000 × 5 × 4%)

= 50000 × 5 × 0.04

= $10000

The scenario that correctly depicts the self-correcting nature of science is "Jade conducts a replication with extension study on individualization and finds that the previous research produces different findings than it once did."

"Science can self-correct itself as research and experiments are conducted to find the truth about the natural world. Nature is all about facts, and science is the study of facts. Science should have a good deal of skepticism because of human error. Science is not always right, and scientists know it. It is only natural that scientists do not consider a theory valid until it is tested and retested by other scientists with different perspectives, knowledge, and testing methods.

However, science does not simply rely on scientific consensus or authority. Additionally, science is inherently self-correcting. It continually adjusts its results based on new data and observations. That is, a scientist might create a theory or hypothesis based on the facts available. If the theory does not stand up to the new evidence or observation, scientists abandon or modify the theory.

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Answer: 105:210

Step-by-step explanation:

1:2 = ?:210

? = 210/2 = 105

1:2 = 105:210

Answer:

1 minute and 44 seconds... 1 minute and 37 seconds. a pattern of -7 seconds

ANSWER:

STEP-BY-STEP EXPLANATION:

We have the following function:

We solve the polynomial as follows:

Answer:

B. ∠BAC

Step-by-step explanation:

The angle opposite the largest side has the largest angle.