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2 years ago

Complete the work to simplify the expression (-2d^5)^4

Mathematics

2 answers:

Fiesta28 [93]2 years ago

4 0

16d^20

Apply the product rule to rule to -2d^5.

Raise -2 to the power of power of 4.

16(d^5)^4

Multiply the exponents in (d^5)^4

etc...

klio [65]2 years ago

3 0

Answer:

16d^20

Step-by-step explanation:

to raise a product to a power, raise each factor to that power. (-2)^4x(d^5)^4

evaluate the power (-2)^4 x (d^5)^4

16 x (d^5)^4

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Most major airlines allow passengers to carry two pieces of luggage (of a certain maximum size) onto the plane. However, their s

leonid [27]

Answer:

d) (179.20, 212.716)

Step-by-step explanation:

1000 : 345

569 : 195.96

Midpoint of (179.20, 212.716) is 195.958 which is the closest to 195.96

4 0

3 years ago

Please help. 50 points + brainliest

Korvikt [17]

Answer:

1. (a-c) $\sqrt{x}$ + b $\sqrt{y}$

2. 9m + 2 $\sqrt{n}$

3. 6a

4. (5a - 3b) $\sqrt{5y}$

Step-by-step explanation:

1. since a and c share the same squareroot x, you can combine these together.

2. First add like terms together. 4m - m + 6m = 9m. Then 5 $\sqrt{n}$ and -3 $\sqrt{n}$ combined equals 2 $\sqrt{n}$

3. First simplify the square roots. squareroot of 16 is 4. square root of 49 is 7. square root of 81 is 9. They are all multiplied by a in the expression. Thus 4a - 7a + 9a = 6a

4. First simplify the radicals, they are not perfect. square root of 125 is equivalent to sqrt(25 * 5), which sqrt of 25 is 5, but we keep the sqrt of 5. For sqrt of 45, it is the same as sqrt9 * sqrt5. sqrt of 9 is the same as 3 and we keep sqrt 5. Thus we get the below:

5a $\sqrt{5y}$ - 3b $\sqrt{5y}$

We can combine the two like terms and get the final answer above.

please give thanks by clicking the heart :)

3 0

3 years ago

The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airp

motikmotik

Answer:

The 95% confidence interval for the population mean rating is (5.73, 6.95).

Step-by-step explanation:

We start by calculating the mean and standard deviation of the sample:

$M=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M=\dfrac{1}{50}(6+4+6+. . .+6)\\\\\\M=\dfrac{317}{50}\\\\\\M=6.34\\\\\\s=\sqrt{\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M)^2}\\\\\\s=\sqrt{\dfrac{1}{49}((6-6.34)^2+(4-6.34)^2+(6-6.34)^2+. . . +(6-6.34)^2)}\\\\\\s=\sqrt{\dfrac{229.22}{49}}\\\\\\s=\sqrt{4.68}=2.16\\\\\\$

We have to calculate a 95% confidence interval for the mean.

The population standard deviation is not known, so we have to estimate it from the sample standard deviation and use a t-students distribution to calculate the critical value.

The sample mean is M=6.34.

The sample size is N=50.

When σ is not known, s divided by the square root of N is used as an estimate of σM:

$s_M=\dfrac{s}{\sqrt{N}}=\dfrac{2.16}{\sqrt{50}}=\dfrac{2.16}{7.071}=0.305$

The degrees of freedom for this sample size are:

$df=n-1=50-1=49$

The t-value for a 95% confidence interval and 49 degrees of freedom is t=2.01.

The margin of error (MOE) can be calculated as:

$MOE=t\cdot s_M=2.01 \cdot 0.305=0.61$

Then, the lower and upper bounds of the confidence interval are:

$LL=M-t \cdot s_M = 6.34-0.61=5.73\\\\UL=M+t \cdot s_M = 6.34+0.61=6.95$

The 95% confidence interval for the mean is (5.73, 6.95).

4 0

3 years ago

What is -2 sqrt 50 - sqrt 125 in simplest radical form

Gnoma [55]

Answer:

- 10√2 - 5√5

Step-by-step explanation:

- 2√50

√50 = √( 2 x 5 x 5 ) = 5√2

- 2√50

= - 2 x 5√2

= - 10√2

- √125

= - √( 5 x 5 x 5 )

= - 5√5

- 2√50 - √125

= - 10√2 - 5√5

6 0

2 years ago

Read 2 more answers

Please help me outtt :D

kobusy [5.1K]

Answer:

the answer would be B the answer would be B

8 0

2 years ago