in a certain isosceles right triangle, the altitude to the hypotenuse has length $4\sqrt{2}$. what is the area of the triangle?

Answer: B, Equivalent 0.4(k+3) = 0.4k +1.2

Step-by-step explanation:

when you distribute the 0.4 across k and 3, you multiply 0.4 by k and 3, getting you 0.4k+1.2 which is equivalent.

Answer:

yes

Step-by-step explanation:

0.4(k+3) = 0.4k+1.2

expand 0.4(k+3)

0.4 x k = 0.4k

0.4 x 3 = 1.2

so...

0.4k + 1.2

No.

m represents the slope while b represents the y-intercept.

Answer: False

Step-by-step explanation:

Because the slope-intercept form is y=mx+b and m represents slope.

Answer:

GCF is 2

Step-by-step explanation:

10+2+16

Step-by-step explanation:

s = top speed

p = horsepower

s = 27.3 × p^(1/6)

the exponent 1/6 means the 6th root of p.

17.

s = 27.3 × 70^(1/6) = 27.3 × 2.030094899... =

= 55.42159075... knots

18.

50 = 27.3 × p^(1/6)

50⁶ = 27.3⁶ × p

p = 50⁶/27.3⁶ = (50/27.3)⁶ = (1.831501832...)⁶ =

= 37.74367151... horsepower

Answer:

∠A≅∠Y        AB≅YX

∠B≅∠X          AC≅YZ

∠C≅∠Z         BC≅XZ

ΔACB ≅ ΔYZX

Step-by-step explanation:

congruent is identical in form so if the angle has one dash than look for the identical version on the other triangle

Answer is   12.25

=============================================

Explanation:

Using long division, or your calculator, you should find that 1/4 = 0.25

The mixed number 12 & 1/4 means 12 whole items plus 1/4 of another item.

So we can think of it like this

12 & 1/4 = 12 + 1/4 = 12 + 0.25 = 12.25

The mixed number 12 & 1/4 converts to the decimal form 12.25

The decimal number for 12 1/4 is 12.25.

Given,

12 1/4

We need to write it as a decimal.

A decimal number is a number with no fraction and it has decimal points.

Example:

- 1/2 = 0.5

- 3/4 = 0.75

Find the decimal number of 12 1/4.

We need to convert 12 1/4 into a proper fraction.

12 1/4 = (4x12 + 1 ) / 4 = (48 + 1) / 4 = 49 / 4

Now,

Convert 49 / 4 into a decimal number.

49 / 4 = 12.25

Thus the decimal number for 12 1/4 is 12.25.

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ANSWER

C and D

EXPLANATION

Step 1: Given that:

Step 2: Simplify matrix D

Hence, matrices C and D are equal.

We can conclude that Pizza On-Call's claim of delivering 90 percent of its orders within 30 minutes may not be accurate.

Null hypothesis: The true proportion of orders delivered within 30 minutes is equal to or greater than 0.90.

Alternative hypothesis: The true proportion of orders delivered within 30 minutes is less than 0.90.

We can use a one-tailed z-test for proportions with a significance level of 0.10. The test statistic can be calculated as:

\(z = (\hat p - p_0) / \sqrt{p_0 * (1 - p_0) / n}\)

where \(\hat p\) is the sample proportion, p₀ is the hypothesized proportion (0.90), and n is the sample size.

In this case, \(\hat p\) = 82/100 = 0.82. Plugging in the values, we get:

z = (0.82 - 0.90) / √(0.90 * 0.10 / 100) = -1.80

Looking up the z-value in a standard normal table, we find that the corresponding p-value is 0.0359. Since the p-value is less than the significance level of 0.10, we can reject the null hypothesis and conclude that there is evidence to suggest that less than 90 percent of the orders are delivered in less than 30 minutes.

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Answer:

perpendicular lines

Step-by-step explanation:

Answer:

Perpendicular lines

Step-by-step explanation:

The slopes are negative reciprocals

for the first equation we get

y=2x+5/2

and the second we get

y=-1/2x-1/10

2 and -1/2 are negative reciprocals

Answer: the answer is $796.32

Step-by-step explanation:

Answer:

43m

Step-by-step explanation:

5x8=40m

Cameron's ladder is 3m shorter, so add 3m to 40.

40+3=43m

The process of displaying the large quantities of data in a meaningful way is called Data Visualization .

The Data Visulalization involves presenting data in a graphical or pictorial format to help people understand and analyze the data more easily.

The goal of data visualization is to make complex data sets more accessible, understandable, and actionable by presenting them in a clear and visually appealing way.

The Common types of data visualization include bar charts, line graphs, scatter plots, heat maps, and infographics, among others.

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The remainder is indeed 4  when dividing 74 by 7 by the division algorithm.

To find the remainder when dividing 74 by 7, we can use the concept of division and the division algorithm. The division algorithm states that any division problem can be written as:

Dividend = Divisor × Quotient + Remainder

In this case, the dividend is 74, the divisor is 7, and we want to find the quotient and remainder.

The quotient is 10, and the remainder is 4. Therefore, when dividing 74 by 7, the remainder is 4.

To verify this result, we can use the formula:

Remainder = Dividend - (Divisor × Quotient)

In this case, the dividend is 74, the divisor is 7, and the quotient is 10:

Remainder = 74 - (7 × 10)

Remainder = 74 - 70

Remainder = 4

Thus, the remainder is indeed 4.

The remainder represents the leftover value after dividing the dividend (74) by the divisor (7) as much as possible. In this case, since 7 can go into 74 ten times with a remainder of 4, the remainder is 4.

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Note the search engine cannot find the complete question.

The explanatory variable or factor in this study is the type of drug given to the volunteers.

In the study, the researchers are comparing the effects of two different drugs on the severity of depression. They are interested in determining whether the new drug is more effective in treating severe depression compared to the existing drug.

Therefore, the type of drug (new drug or existing drug) is the explanatory variable or factor being investigated in this study.

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Answer:

It is not L.

Step-by-step explanation:

I just took the test and put L. It was wrong.

Answer:

21.07

Step-by-step explanation:

Answer:

N+1

Step-by-step explanation:

It begins with = 2

then n+1=3

then n+2=4 and so on it is n+1

Step-by-step explanation:

so your answer is m= 7

I think the question is incomplete.

though I think you got helped.

The new shape of the cube will have a decrease in volume, but surface area will be the same, and total length of edges will increase. Picture attached.

Volume: For the volume of the original cube, made up of 8 identical small cubes, If one of the small cubes is removed, the volume of the new shape will be smaller than the original cube since we are taking away a portion of it.

Surface Area: The surface area of the original cube is calculated by multiplying the area of one face by the number of faces (6). Removing one of the faces, the surface area of the new shape will still remain the same as the 3 outer faces removed will still be present is the in the new shape.

Total Length of Edges: The total length of edges in the original cube is given by 12 times the side length. When a small cube is removed, the new shape will have more edges than the original cube. Specifically, it will have 18 edges.

In all three cases, the removal of a small cube reduces the size and shape of the resulting object, resulting in a decrease in volume, but surface area will be the same, and total length of edges will increase

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Step-by-step explanation:

$20-$3-$15= $2

the amount of money spent on the bouncy ball is $2

The expected number of times to get either 3 heads or 3 tails in 56 trials of flipping 3 coins each is 28.

The expected number of times to get either 3 heads or 3 tails in 3 coin flips can be calculated using the binomial distribution. In this case, the probability of getting 3 heads or 3 tails in one flip is 1/2^3 = 1/8. Using this probability and the number of trials (56), the expected number of times to get either 3 heads or 3 tails can be calculated as follows: E(X) = n*p = 56 * 1/8 = 7. Therefore, you would expect to get either 3 heads or 3 tails 7 times out of 56 when flipping 3 coins.

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The total meter reading of Dan electricity usage from July to October including the meter reading as at July is 33,289 units

Quantity of electricity Dan used from July to October = 942 units

Meter reading in July= 32, 347 units

The total meter reading = Quantity of electricity Dan used from July to October + Meter reading in July

= 942 units + 32, 347 units

= 33,289 units

Therefore, Dan used a total of 33,289 units of electricity from July to October including the previous reading.

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The appropriate test statistic for this test is approximately 0.2103 (rounded to 4 decimal places).

To find the appropriate test statistic for a 2-sample z-test for two proportions, we need to calculate the standard error and then use it to compute the z-score. The formula for the standard error is:

SE = sqrt[(p1 * (1 - p1) / n1) + (p2 * (1 - p2) / n2)]

Where p1 and p2 are the sample proportions, and n1 and n2 are the sample sizes.

In this case, we have the following values:

X1 = 24 (number of successes in sample 1)

n1 = 200 (sample size 1)

X2 = 17 (number of successes in sample 2)

n2 = 150 (sample size 2)

To calculate the sample proportions, we divide the number of successes by the respective sample sizes:

p1 = X1 / n1 = 24 / 200 = 0.12

p2 = X2 / n2 = 17 / 150 = 0.1133

Now, we can plug these values into the formula to calculate the standard error:

SE = sqrt[(0.12 * (1 - 0.12) / 200) + (0.1133 * (1 - 0.1133) / 150)]

SE ≈ 0.0319

Finally, the test statistic (z-score) is calculated by subtracting the two sample proportions and dividing by the standard error:

Z = (p1 - p2) / SE

Z = (0.12 - 0.1133) / 0.0319

Z ≈ 0.2103

Therefore, the appropriate test statistic for this test is approximately 0.2103 (rounded to 4 decimal places).

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Answer:

Step-by-step explanation:I don't say you have to mark my ans as brainliest but my friend if it has really helped you plz don't forget to thank me...

Answer:

0.014 cm .

Step-by-step explanation:

I am assuming that it is a closed cylinder whose total surface area.

Area = 2πrh + 2πr^2

Let the radius be r and the height h,  then we have the equations:

r + h = 34

2πrh + 2πr^2  = 2.992

From the first equation  h = 34 - r, so substituting for h:

2πr( 34 - r) + 2πr^2 = 2.992

2πr^2 + 68πr - 2πr^2 = 2.992

68πr = 2.992

r = 2.992 / 68π

r = 0.014

Answer:

Exact Form:

1/6

Decimal Form:

0.16 (6 repeating)

Step-by-step explanation:

Answer:

m = -1/2

Step-by-step explanation:

Recall that slope = (change in y) / (change in x).

Going from  (−8,−1) to (−6,−2), x increases by 2 (because -6 - (-8) = 2), and

y decreases by 1.  Thus, the slope here is

m = (change in y) / (change in x) = (-1) / 2 = -1 / 2

m = -1/2

By convention, we often reject the null hypothesis if the probability of our result, given that the null hypothesis were true, is less than .05

By convention, we often reject the null hypothesis if the probability of our result, given that the null hypothesis were true, is considered statistically significant, which is typically set at a level of alpha = .05.

This means that if there's less than a 5% chance of obtaining our result when the null hypothesis is true, we consider the result statistically significant and reject the null hypothesis in favor of the alternative hypothesis.

Therefore, option B is the correct answer.

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The remainder of the polynomial using the remainder theorem and factor theorem is 6.

Apply the remainder theorem,

When we divide a polynomial

f(x) by (x − c)

f(x) = (x − c)q(x) + r

f(c) = 0 + r

Here,

f(x)=(x−c)q(x)+rf(c)=0+r

and (x−c) is (x−(−2))

Therefore,

f(−2) = \((-2)^{4} - (-2)^3 - 3(-2)^2 + 4(-2) + 2\)

= 16 + 8 − 12 − 8 + 2

= 6

Hence, the remainder of the polynomial using the remainder theorem is 6.

Whereas using the factor theorem and doing synthetic division, we get,  

x = -2 is a zero of f(x), and x+2 is a factor of f(x). To factor f(x), we divide

the coefficients of the polynomial as follows -

         -2   |   1  -1    -3     4      2

                      -2   6    -6      4

        -----------------------------------------

                    1   -3   3    -2     6

Hence, we get that 6 is the remainder when (\(x^4-x^3-3x^2+4x+2\)) ÷ (x+2), using the factor theorem.

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The complete question is -

Find the remainder using the Remainder Theorem and Factor Theorem using the synthetic division of the given polynomial, \(x^4-x^3-3x^2+4x+2\) ÷ (x+2)

Answer:

256

Step-by-step explanation: