simplify (-2b⁵)2 step by step​

The derivative of the function tan(8x) with respect to x is 8 times the secant squared of 8 times x.

The function given is d/dx[tan(8x)], which represents the derivative of the tangent of 8 times x with respect to x.

To obtain this derivative, we can use the chain rule, which states that the derivative of a composite function is equal to the derivative of the outer function evaluated at the inner function, multiplied by the derivative of the inner function.

In this case, the outer function is the tangent function, and the inner function is 8x. The derivative of the tangent function is sec^2(x), so we have:

d/dx[tan(8x)] = sec^2(8x) * d/dx[8x]

Using the constant multiple rule of differentiation, we can pull the constant 8 out of the derivative:

d/dx[tan(8x)] = 8 * sec^2(8x)

Therefore, the derivative of the function tan(8x) with respect to x is 8 times the secant squared of 8 times x.

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The calculated expectation of X is 0.1

From the question, we have the following parameters that can be used in our computation:

P{X = -1}=0.2, P{X = 0} = 0.5, P{X = 1}=0.3

The expectation of X is calculated as

E(x) = ∑xp(x)

So, we have

E(x) = -1 * 0.2 + 0 * 0.5 + 1 * 0.3

Evaluate

E(x) = 0.1

Hence, the expectation of X is 0.1

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Answer:

3/100

Step-by-step explanation:

1 m = 100 cm

Scale factor = 3/100

Hope it helps you

Answer:

the answer would be 3/100

Answer:

\( {xy}^{2} = {6}^{2} + {3}^{2} =45 \\ xy = \sqrt{45} = 6.71\)

sorry but I am not sure if this is right :(

Answer:

no it is(7,2)

Step-by-step explanation:

Given that there are 30 employees, 12 of them take public transit while 11 employees drive to work. In addition, 10 employees from the group are to be selected for a study. Note that employees take only public transit, drive to work, or do neither.

Let us use combination formulas to solve the given questions.1. How many different groups of 10 employees can be selected from the 30 employees The formula for combination is given as n Therefore, the number of different groups of 10 employees that can be selected from the 30 employees is given by 30C10=30045015. Thus, the number of different groups of 10 employees that can be selected from the 30 employees is 30C10=30045015.2. How many of the possible groups of 10 employees will consist only of employees that either take public transit or drive to work.

Since there are 12 employees that take public transit, 11 employees drive to work, and 30-12-11=7 employees that do neither, there are two choices Select 10 employees from the 12 employees that take public transit and 11 employees that drive to work. In this case, the total number of possible groups that consist of employees that either take public transit or drive to work is given by 23C10=1144066. Choose 10 employees from the 12 employees that take public transit, 7 employees that do neither, or 10 employees from 11 employees that drive to work and 7 employees that do neither .

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Answer: um last time i heard fsa my teacher said its for florida standards assessments

Step-by-step explanation:

Answer:

With the Florida standards in place to help Florida students succeed, the Florida Standards Assessments (FSA) in English Language Arts (ELA), Mathematics, and end-of-course (EOC) subjects (Algebra 1 and Geometry) serve Florida students by measuring education gains and progress.

Step-by-step explanation:

Answer:

10.5

Step-by-step explanation:

Take every thing to the left hand side, then you'll have:

x^2-x^2- 6x+4x+9+12 = 0

-2x + 21 = 0

-2x = -21

x = -21/-2

x = 10.5

Answer:

Law of Syllogism

Step-by-step explanation:

The measurement that is closest to the value of x, in centimeters, is given as follows:

14.3.

In this problem, we have a right triangle, in which the legs, which are the sides between the angle of 90º, are of 11.9 cm and 7.9 cm.

Then the hypotenuse x, which is the segment connecting both legs, is obtained using the Pythagorean Theorem.

The Pythagorean Theorem states that the measure of the hypotenuse squared is equals to the sum of the squares of the measures of each side.

Then the length of x is calculated as follows:

x² = 11.9² + 7.9²

x = square root of (11.9² + 7.9²)

x = 14.28.

Closest to 14.3, rounding to the nearest tenth, meaning that the third option is correct.  

We suppose that 11.9 cm and 7.9 cm are the measures of the legs.

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Answer:

17.25 ; 1:01:13 ; 4 hours 47 minutes, 38 seconds

Step-by-step explanation:

From the picture attached :

The shortest distance cycled :

17.25 < 25.80 < 27.42

Hence, shortest distance cycled is : 17.25

Shortest cycling time :

1:01:13 < 1:50:05 < 1:56:20

Hence, shortest distance cycled is : 1:01:13

Total cycling time:

1:01:13 + 1:50:05 + 1:56:20

1 + 1 + 1 = 3 hrs

01 + 50 + 56 = 107 = 107/60 = 1 hr 47 minutes

13 + 05 + 20 = 38 seconds

Total cycling time :

(3 + 1 hr 47 minutes + 38 seconds) = 4 hours 47 minutes, 38 seconds

well, from 1990 to 1998 is 8 years, and we know the amount went from $4800 to $6300, let's check for the rate of growth.

\(\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$6300\\ P=\textit{initial amount}\dotfill &\$4800\\ r=rate\to r\%\to \frac{r}{100}\\ t=\textit{years}\dotfill &8\\ \end{cases} \\\\\\ 6300=4800(1 + \frac{r}{100})^{8} \implies \cfrac{6300}{4800}=(1 + \frac{r}{100})^8\implies \cfrac{21}{16}=(1 + \frac{r}{100})^8\)

\(\sqrt[8]{\cfrac{21}{16}}=1 + \cfrac{r}{100}\implies \sqrt[8]{\cfrac{21}{16}}=\cfrac{100+r}{100} \\\\\\ 100\sqrt[8]{\cfrac{21}{16}}=100+r\implies 100\sqrt[8]{\cfrac{21}{16}}-100=r\implies \stackrel{\%}{3.46}\approx r\)

now, with an initial amount of $4800, up to 2007, namely 17 years later, how much will that be with a 3.46% rate?

\(\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &4800\\ r=rate\to 3.46\%\to \frac{3.46}{100}\dotfill &0.0346\\ t=years\dotfill &17\\ \end{cases} \\\\\\ A=4800(1 + 0.0346)^{17} \implies A=4800(1.0346)^{17}\implies A \approx 8558.02\)

If actual production totals 8,000 units, the flexible budget would still show fixed costs of $3.00 per unit. The fixed costs per unit remain the same regardless of the actual production volume.

The static budget was developed based on an expected volume of 7,000 units, with fixed costs amounting to $3.00 per unit.

However, even if the actual production totals 8,000 units, the fixed costs per unit would remain unchanged at $3.00.

This is because fixed costs are not affected by changes in production volume within the relevant range.

The fixed costs represent the expenses that do not vary with the level of production and remain constant regardless of the actual volume of units produced.

Therefore, the flexible budget would still show fixed costs of $3.00 per unit when the actual production is 8,000 units.

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The interest rate of it is 1%

What is simple interest ?

The principal of a loan or the initial deposit into a savings account serves as the foundation for simple interest. Simple interest does not compound, so the creditor only has to pay interest on the principal sum and the borrower never has to pay interest on the interest that has already accrued.

Simple interest formula

\(I = \frac{P*T*R}{100}\)

Given

I = 7140 - 7000

 = 140

P = 7000

T = 2 years

R = ?

\(R = \frac{I*100}{P*T}\)

R = (140 *100) / (7000 * 2)

   = 14000 / 14000

R = 1%

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Answer:

  8

Step-by-step explanation:

If the mode is 3, there are at least 2 elements that are 3. If the largest is 9, there is one element that is 9. If the smallest is -3, there is one element that is -3. That accounts for 4 of the 5 elements of the set. The last element, X, must have a value such that the average is 4.

  (-3 +3 +3 +9 +X)/5 = 4

  12 +X = 20 . . . . . multiply by 5, simplify

  X = 8 . . . . . . . . subtract 12

The second-largest element in A is 8.

Answer:

Below is a picture

Step-by-step explanation:

Demos is a free calculator that can do things like this for you.

\(\\ \bull\tt\dashrightarrow 5x-5=74\)

\(\\ \bull\tt\dashrightarrow 5x=74+5\)

\(\\ \bull\tt\dashrightarrow 5x=79\)

\(\\ \bull\tt\dashrightarrow x=\dfrac{79}{5}\)

\(\\ \bull\tt\dashrightarrow x\approx 16\)

Answer:

• These is an isosceles triangle, meaning base angles are equal.

• let the upper angle of the first triangle be y;

\({ \tt{y + 74 \degree + 74 \degree = 180 \degree}} \\ \\ { \tt{y + 148 \degree = 180 \degree}} \\ \\ { \tt{y = 32 \degree}}\)

• Therefore:

\({ \tt{m \angle 2 + y = 90 \degree}} \\ \\ { \tt{(5x - 5) + 32 = 90}} \\ \\ { \tt{5x + 27 = 90 }} \\ \\ { \tt{5x = 63}} \\ \\ { \tt{x = \frac{63}{5} }} \\ \\ { \boxed{ \tt{ \: \: x = 12.6 \: \: }}}\)

Check the picture below.

since we know that AB = AD, twin sides will yield twin angles, that means that ∡ADB is a twin angle to ∡ABD.

Now, the two angles at vertex D are linear angles, so their sum is 180°, and since we know that BA = BC, twin sides make twin angles, meaning that ∡A and ∡C are twins, and if we know that a triangle has a total 180° for is interior angles, that means that 36° + 36° + 72° + "the gap above" = 180°, so that gap above must be 36°.

Anyhow, that leaves triangle BCD with a couple of twin angles, yielded by twin sides.

Answer:

22?

Step-by-step explanation:

just follow PEMDAS. first multiply then divide then add then subtract

A rhombus is a quadrilateral that has four sides of equal length. A rhombus also has two diagonals, which are perpendicular bisectors of each other. This formula is given as follows: Perimeter = 4 × a, where a is the length of each side of the rhombus.

To find the perimeter of a rhombus using diagonals, follow these steps:

Step 1: Obtain the length of each diagonal of the rhombus.

Step 2: Use the length of the diagonals to find the length of each side.

Step 3: Add the length of each side to find the perimeter of the rhombus.

The perimeter is the sum of all the sides of a figure. To get the perimeter of a rhombus using diagonals, the length of each diagonal has to be found first. The formula for finding the length of each side of a rhombus is:  where the diagonal is the measure of the diagonal of the rhombus.

To find the perimeter of a rhombus, add the length of all the sides of the rhombus. This formula is given as follows: Perimeter = 4 × a, where a is the length of each side of the rhombus.

Therefore, the perimeter of a rhombus using diagonals can be found by following the above procedure and then using the formula to add all the sides of the rhombus.

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The relation between anual interest and semiannual compounded interest is:

In this case, the annula interest is 6%=0.06, so:

So the semiannual interest rate is 2.95%

Answer: 5.91%

Step-by-step explanation:

Assuming an initial investment of $1, we start the formula rEFF=A−PP. Next, substituting, we now have 0.06=A−11 which gives us 0.06=A−1 so A=$1.06. We now use this value for A in the formula A=P⋅(1+rn)n⋅t with P=$1, n=2 compounding periods for semiannually compounded interest, t=1 year, and r is the unknown semiannually compounded interest rate for which we are solving. Plugging the values in, we get 1.06=(1+r2)2. Take the square root of both sides to get 1.02956=1+r2. Next, subtract 1 from both sides and multiply both sides by 2. The final step gives us 0.059126, which rounded to two decimal places is 5.91%.

Answer:

Step-by-step explanation:

The cube has sides of a = 10 ft since its volume is 1000 = 10³

The other solid has base and height of 10 ft, it will have a shape of parallelogram with base and height of 10 ft each.

It means the area of the parallelogram is same as the square of 10 ft.

The volume is same as the volume of the cube:

Correct choice is B

The Volume of solid is 1000 cubic feet.

Volume is a mathematical term used to describe how much three-dimensional space an item or closed surface occupies. Volume is measured in cubic units.

Volume is sometimes referred to as capacity.

We have,

Volume of cube = 1000 cubic feet

So, a³ = 1000

a = ∛1000

a= 10 unit

Now, The other solid has base and height of 10 ft and is in the shape of parallelogram with base and height of 10 ft each.

Then, the Volume of solid

= Volume of cube

= 10 x 10 x 10

= 1000 cubic feet

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The probability of getting the color yellow when spinning a spinner with three equal sections colored red, white, and blue is 0%. Therefore, the correct answer is d) 0%.

Since the spinner has three equal sections colored red, white, and blue, and there is no section labeled yellow, it is not possible to obtain the color yellow when spinning the spinner. Each section has an equal chance of being landed on, but none of them represent the color yellow. Therefore, the probability of getting the color yellow is 0%. It's important to note that probability represents the likelihood of an event occurring, and in this case, the event of landing on the color yellow is not possible given the given information about the spinner. Therefore, the probability is 0%.

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The false statement regarding confidence intervals is: a) confidence intervals are misused more often than significance tests.

Confidence intervals are statistical tools used to estimate an unknown population parameter based on a sample. They provide a range of values within which the true population parameter is likely to fall with a certain level of confidence.

Option a) states that confidence intervals are misused more often than significance tests. This statement is false. While it is true that both confidence intervals and significance tests can be misused if not understood or applied correctly, there is no evidence to suggest that confidence intervals are misused more frequently than significance tests.

Option b) is true. Confidence intervals can indeed be used in hypothesis testing. By comparing the confidence interval to a hypothesized value or another confidence interval, one can assess whether the null hypothesis is supported or rejected.

Option c) is true. Confidence intervals do emphasize numerical estimates by providing a range of values rather than a single point estimate. They give a sense of the precision and uncertainty associated with the estimate.

Option d) is true. Confidence intervals are commonly reported in research articles, particularly in fields such as statistics, social sciences, and healthcare. They provide valuable information about the precision and reliability of study findings.

In summary, the false statement is a) confidence intervals are misused more often than significance tests.

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Answer:h=a/3b

Step-by-step explanation:

Given:

Bob owns a hardware store he sells hammers for 15$

On Saturday he sold 36 hammers.

The total cost of the hammers =

So, the answer will be $540

Answer:

8 x 3 = 24. 24/5 is greater than 4 so they must order 5 pizzas.

What is the question for this so I can answer it?

Answer:

18x + 15

Step-by-step explanation:

First, deal with the first part of the question:

5(4x+3)

We multiply the outside of the brackets with the inside. So, we do

5 x 4x = 20x

and 5 x 3 = 15

then put them together:

20x+15

Now, the second part:

- 2x

We cannot simplify this further so we put the two parts together:

20x + 15 - 2x

Collect like terms (20x - 2x) =

18x + 15

I hope this helped. If you have any further questions, do ask.

- profparis