WILL GIVE BRAINLEST ANSWER IF DONE IN 24 HOURS Find the fourth roots of 256(cos 240° + i sin 240°).

Answers

Answer 1

Answer:

Hello There!

`~~~~~~~~~~~~~~~~~~~~`

4th root of 256 is 4, and 240/4 = 60, and 360/4 = 90, so the 4 roots are

4(cos 60 + i sin 60)

4(cos 150 + i sin 150)

4(cos 240 + i sin 240)

4(cos 330 + i sin 330)

Hope this helped you. Brainliest would be nice!


Related Questions

The mapping diagram shows a function S(x).

Which mapping diagram shows the inverse of S(x)?

Answers

Answer: Choice A

Explanation:

Notice how the input 5 leads to the output 3 when we look at the S(x) function. The inverse will undo this. So that must mean the answer is choice A where we have the input 3 lead to the output 5. In short, the inputs and outputs swap places. This means the domain and ranges swap.

I have a lot of questions like this, and I know the formula but I still get it wrong!

Answers

Answer: 4

Step-by-step explanation: use pick’s theorem to solve.

I+B/2-1.

We can substitute the variables with our information from the graph:

0+10/2-1=5-1=4 that’s the answe

Hope this helps

A group of hikers finished hiking at an elevation of -5 the group started hiking at an elevation of 8 What was the change in feet of the groups elevation

Answers

Answer:

13 feet

Step-by-step explanation:

If a group of hikers finished hiking at an elevation of -5 the group started hiking at an elevation of 8, their initial feet will be -5 and their final feet will be 8.

Change in feet of the groups elevation = final feel - initial feet

Given initial feet = -5 feet

Final feet = 8 feet

Change in feet of the groups elevation = 8 -(-5)

Change in feet of the groups elevation = 8+5

Change in feet of the groups elevation = 13

Simplify. Rewrite the expression in the form 4^n. 4^11/4^-8

Answers

Answer:

S6tep-by-step explanation:

4^(11+8) = 4^19 is the solution

A personnel manager is concerned about absenteeism. she decides to sample employee records to determine if absenteeism is distributed evenly throughout the six-day workweek. the null hypothesis is: absenteeism is distributed evenly throughout the week. the 0.01 level is to be used. the sample results are: day of the week number of employees absent monday 12 tuesday 9 wednesday 11 thursday 10 friday 9 saturday 9 what is the calculated value of chi-square?

Answers

Answer:

Hello your question lacks the required options

A.)11.070 B.)2.592

C.)13.388 D.)15.033

answer : 15.033 (D)

Step-by-step explanation:

The given Data

Day of The Week        number of Absentees

Monday                                  12

Tuesday                                  9

Wednesday                             11

Thursday                                 10

Friday                                       9

Saturday                                   9

The critical value of chi-square = 15.09 and this obtained by entering the degrees of freedom and level of significance into minitab. attached below is the plot

hence for the given options the critical value of chi-square is ≈ 15.03

WILL GIVE THE BRAINLIEST! Which of the following inequalities can be represented by the graph?

Answers

Answer: Choice A) [tex]y \ge 2x-2[/tex]

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

Explanation:

The boundary line is y = 2x-2. This line goes through (0,-2) and (2,2). Use the slope formula to find the slope to be m = 2, and use the y intercept b = -2 to help form the equation.

Since the boundary line is solid, we will have "or equal to" as part of the inequality sign. This indicates points on the boundary are part of the solution set. Furthermore, we will have a greater than sign because the shaded region is above the boundary. Therefore, we change the equal sign to a "greater than or equal to" sign, going from y = 2x-2 to [tex]y \ge 2x-2[/tex]

If we simply did [tex]y > 2x-2[/tex] without the "or equal to" portion, then the boundary line would be dotted or dashed to tell the reader "points on the boundary are not part of the solution set".

A restaurant serves only tacos and enchiladas. If 60% of everyone who ate at the restaurant on a certain day ordered tacos, what percentage of those who ate at the restaurant ordered enchiladas that day

Answers

Answer:

i. 70%

ii. 70%

Step-by-step explanation:

Since in the question,  it is given that 60% of everyone is ordered tacos so 40% of everyone is ordered enchiladas

i. Now if half ordered tacos that means out of these 30 orders enchiladas.

since 30 ordered tacos that means 70% ordered enchiladas

ii. Now for 3 by 4 we have to assume the number of people who ordered only  enchiladas be x

So,

For both,  it would be 0.75 x

And, the number of people who did not order is 40 as 60 tacos are ordered by people

So, the percentage is

= 40 × 0.75 + 40

= 30 + 40

= 70%

After a dilation with a center of (0, 0), a point was mapped as (4, –6) → (12, y). A student determined y to be –2. Evaluate the student's answer. A. The student is correct. B. The student incorrectly calculated the scale factor to be –2. C. The student incorrectly divided by the scale factor instead of multiplying by it. D. The student incorrectly added the scale factor instead of multiplying by it.

Answers

Answer:

B. The student incorrectly calculated the scale factor to be –2

Step-by-step explanation:

Given that :

After a dilation with a center of (0, 0), a point was mapped as (4, –6) → (12, y).

The student determined y to be -2

If a figure dilated with a center of (0, 0) and scale factor k, then

(x , y) → (kx , ky)

(4, -6) → (12, y)

[tex]k = \dfrac{x'}{x}[/tex]

[tex]k = \dfrac{12}{4}[/tex]

k = 3

Thus; the scale factor is 3

Now; the y-coordinate can now be calculated as;

ky = (3 × -6)

ky = -18

Therefore; the value of y = -18 and the student incorrectly calculated the scale factor to be -2.

A certain animated movie earned $1.1⋅109\$1.1 \cdot 10^9 $1.1⋅10 9 dollar sign, 1, point, 1, dot, 10, start superscript, 9, end superscript in revenues at the box office. The movie lasts 9.1⋅1019.1\cdot10^1 9.1⋅10 1 9, point, 1, dot, 10, start superscript, 1, end superscript minutes. How much revenue was earned per minute of the movie? Write your final answer in scientific notation, and round to two decimal places.

Answers

Answer:

$ 1.21 * 10⁷ per minute

Step-by-step explanation:

Movie Earning = $ 1.1 * 10⁹

Movie lasted for = 9.1 * 10¹ minutes

Money earned in 9.1 * 10¹ minutes = $ 1.1 * 10⁹

Money earned in 1 minutes =  $ 1.1 * 10⁹ / (9.1 * 10¹)

= $ 110 * 10⁷ / (9.1 * 10¹)

= $ 12.09 * 10⁶

= $ 1.209 * 10⁷

= $ 1.21 * 10⁷

Movie earning =   $ 1.21 * 10⁷ per minute

Answer:

$ 1.21 * 10⁷ per minute

Step-by-step explanation:

Nathan runs around the inside lane of a circular track that has a radius of 29 m.
Rachel runs in the outer lane, which is 2.5 m further from the centre of the track.
How much longer is the distance Rachel runs each lap? Give your answer to 2
decimal places.

Answers

Hey there! I'm happy to help!

The distance around a circle is the circumference. To find it, you multiply the diameter of the circle by pi (we will use 3.14).

First, let's find the circumference of Nathan's circle. We see that the radius is 29. The diameter is twice the radius, so the diameter is 56. We multiply this by 3.14, giving us 175.84 m.

We see that Rachel is 2.5 m further from the center than Nathan's, so her radius is 31.5 m. We multiply by two to give us the diameter, giving us 63. We multiply this by 3.14, giving us 197.82.

Now, we subtract Nathan's lap distance from Rachel's to see how much longer her's is.

197.82-175.84=21.98

Therefore, the distance Rachel runs is 21.98 meters longer than the distance Nathan runs.

Have a wonderful day! :D

A lead ball weighs 326 grams. Find the radius of the ball to the nearest tenth of a centimeter. the lead=11.35g/cm³

Answers

Answer:

3.14

Step-by-step explanation:

Two boxes have the same volume. One box has a base that is 5cm by 5cm. The other box has a base that is 10cm by 10 cm. How many times as tall is the box with the smaller base?

Answers

Answer:

x=4

Step-by-step explanation:

5^2X=10^2X
25X=10X

2X=100/25

The Box with a smaller base has a height that is 4 times taller than the Box having a larger base.

What is the volume of a cuboid?

We know the volume of a cuboid is the product of its length, breadth, and height or v = l×b×h.

Given, we have two boxes let us denote them by B₁ and B₂ and their respective heights are h₁ and h₂.

To obtain how many times one box is relative to the other we have to equate their respective volumes.

Given, one box has a base that is 10cm by 10 cm and another box has a base that is 5cm by 5cm.

∴ 5×5×h₁ = 10×10×h₂.

25h₁ = 100h₂.

h₁ = 4h₂.

So, h₁ is 4 times taller than h₂.

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Se tiene una pirámide regular cuadrangular cuyas caras laterales forman con la base un angulo que mide 53º y el area de la superficie lateral es 60 ¿cuanto mide la altura?

Answers

Answer:

La altura de la pirámide es de 8.14 unidades.

Step-by-step explanation:

Hay una pirámide cuadrangular regular cuyas caras laterales forman un ángulo que mide 53º con la base y el área de la superficie lateral es 60. ¿Qué altura tiene?

Dado que el área de superficie lateral = 60

Tenemos

Área del triángulo equilátero = (√3 / 4) × a²

 (√3 / 4) × a² = 60

a² = 60 / (√3 / 4) = 80 · √3

a = √ (80 · √3) = 11.77 unidades

La altura inclinada = Altura de la superficie inclinada = a × sin (60) = 11.77 × sin (60)

La altura inclinada = 11.77 × sin (60) = 10.194 unidades

La altura de la pirámide = Altura inclinada × sin (ángulo de caras laterales con la base)

La altura de la pirámide = 10.194 × sin (53) = 8.14 unidades.

La altura de la pirámide = 8.14 unidades.

Grace, Chelsea, and Roan are simplifying the same polynomial expression. Which
student's work is correct and why?
Grace
Chelsea
3(2 - x) - 2(6x - 8)
= 6 - 3x – 12x + 16
3(2 - x) – 2(6x – 8)
= 6 - 3x – 12x - 16
Roan
3(2 - x) - 2(6x - 8)
= 6 - 3x + 12x - 16
= -3x - 12x + 16 + 6
= -3x – 12x – 16 + 6
= -3x + 12x – 16 + 6
= -15x + 22
= -15x – 10
= 9x - 10​

Answers

Answer:

Hey there!

3(2 - x) - 2(6x - 8)

6-3x-12x+16

6-15x+16

-15x+22

Hope this helps :)

Answer:

Grace is correct. The other two made mistakes while distributing the negative sign. Chelsea failed to distribute the negative sign to the second term of the second expression. Roan failed to distribute the negative sign to both terms of the second expression.

the polynomial p(x)=x^3-7x-6 has a known factor of (x+1). rewrite p(x) as a product of linear factors

Answers

Answer:

p(x) = (x + 1) (x - 3) (x + 2)

Step-by-step explanation:

x³ - 7x - 6

(x+1) (x² - x - 6) found by doing long division

(x+1) ( x - 3) (x + 2) are the factors

The polynomial p(x) as a product of linear factors is; p(x) = (x + 1) (x - 3) (x + 2)

What is a polynomial?

They are mathematical expressions involving variables raised with non negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non negative exponentiation of variables involved.

We are given the polynomial as;

x³ - 7x - 6

Then we found by doing long division;

(x+1) (x² - x - 6)

(x+1) ( x - 3) (x + 2)

These are the factors.

Hence, The polynomial p(x) as a product of linear factors is; p(x) = (x + 1) (x - 3) (x + 2)

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) 30 marbles are to be divided into three bags so that the second bag has three times as many marbles as the first bag and the third bag has twice as many as the first bag. If x is the number of marbles in the first bag, find the number of marbles in each bag.

Answers

Answer:

The number of marbles in the first bag=  5  

The number of marbles in the second bag = 15

The number of marbles in the third bag = 10

Step-by-step explanation:

Given that

Total number of marbles= 30

Lets take, the number of marbles in the first bag= x

The number of marbles in the second bag = 3 x

The number of marbles in the third bag = 2 x

Therefore

The total number of marbles = x + 2 x + 3 x = 6 x

6 x = 30

[tex]x=\dfrac{30}{5}[/tex]

x= 6 marbles

We  can say that

The number of marbles in the first bag=  5  

The number of marbles in the second bag = 15

The number of marbles in the third bag = 10

√ (952.695) + √0.00195 – 5.382 please help Thank you to whoever helps

Answers

Answer:

25.52791653032955454422437424679625318128649677442393276098...

Step-by-step explanation:

You can just paste this into wolframalpha.

Answer: 970.72312

Step-by-step explanation:

Straightforward operation.

True or False? All equiangular triangles are similar.

Answers

Answer:

True

Step-by-step explanation:

All equiangular triangles are similar.

help plzz ... Trigonometry​

Answers

Answer:

XYZ = 21.8

Step-by-step explanation:

the missing angle is XYZ

cos XYZ = [tex]\frac{adjacent}{hypotenus}[/tex] tan XYZ = [tex]\frac{6}{15}[/tex] tan XYz = 0.4

using a calculator:

tan^(-1)(0.4)= 21.8

so XYZ = 21.8

What part of an hour passes between 3:16 P.M. and 3:34 P.M.?

Answers

Answer:

18 minutes

Step-by-step explanation:

1: Calculate how many minutes are in an hour

2: Take 3:16 and add until 3:34

The part of an hour  3/10

What is time elapsed?

Elapsed time is the time taken by an event to occur between the start of the time and the end of the time. In simple words, we can say that the amount of time that has passed between the beginning and the end of an event is called the elapsed time. We can determine this time by subtracting the end time and the start time. The formula to calculate the elapsed time is simply to subtract the hours and minutes separately. It gives the duration of an event.

Elapsed time means the time that has elapsed between the start of the time and the end of the time.

For example, if a man starts traveling at 10:30 AM and ends the journey at 12:15 PM, the time elapsed is the duration of his journey, that is, the time between 12:15 PM and 10:30 AM. Elapsed time is an important concept as it helps us to learn to read the time on a clock and measure the time taken for an event to occur.

Formula:

Elapsed Time = End Time - Start Time

As, 3:16 p.m. shows 44  minutes before 4:00 p.m.

and, 3:34 p.m. shows 26 minutes before 3: 34 p.m.

As, there is difference of

=44-26

=18 minutes

Hence, the part of an hour = 18/60= 3/10

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There are six equilateral triangles in regular____.

Answers

Answer:

There are six equilateral triangles in regular hexagons

Answer:

There are 6 equilateral triangles in a regular hexagon.

Step-by-step explanation:

A regular hexagon has 6 congruent sides and can be divided into 6 congruent equilateral triangles.

There are 6 equilateral triangles in a regular hexagon.

Carrie can inspect a case of watches in 5 hours.James can inspect the same case of watches in 3 hours.After working alone for 1 hour,Carrie stops for lunch.After taking a 40 minute lunch break,Carrie and James work together to inspect the remaining watches.How long do Carrie and James work together to complete the job?

Will mark brainlist if it correct and well explained

Answers

Answer:

It takes Carrie and James an hour and a half to finish the job.

Step-by-step explanation:

assuming they have to inspect ONE case of watches.

Carrie can inspect 1/5 case in one hour.

James can inspect 1/3 case in one hour.

Carrie worked alone for 1 hour, so she finished 1/5 of a case.

She leaves 4/5 case to finish.

She had lunch.

After that, Carrie and James worked together for x hours to finish the job.

When they work together, the finish 1/5+1/3 = 8/15 case per hour.

So time to finisher the remaining case

Time = 4/5 / (8/15)

= 4/5 * 15/8

= 3/2 hours

= an hour and a half.

Which statement is true about the function f(x) = StartRoot negative x EndRoot? It has the same domain as the function f(x) = Negative StartRoot negative x EndRoot. It has the same range as the function f(x) = Negative StartRoot negative x EndRoot. It has the same domain as the function f(x) = Negative StartRoot x EndRoot. It has the same range as the function f(x) = .

Answers

Answer:

  It has the same domain as the function [tex]f(x)=-\sqrt{-x}[/tex].

Step-by-step explanation:

The function ...

  [tex]f(x)=\sqrt{-x}[/tex]

has a domain of all non-positive numbers and a range of all non-negative numbers. Anything with a -x under the radical will have the same domain. Any positive root will have the same range.

__

So, we can say it has the same domain as ...

  [tex]f(x)=-\sqrt{-x}[/tex]

Answer:

A on edge

Step-by-step explanation:

hehe

A solid square pyramid has a mass of 750 g. It is made of a material with a
density of 8.05 g/cm'. Given that the height of the pyramid is 13.5 cm, find the
length of its square base.​

Answers

Answer:

4.55cm

Step-by-step explanation:

The unit of a volume: [tex]cm^3[/tex]

The unit of a density: [tex]\dfrac{g}{cm^3}[/tex]

The density is [tex]\dfrac{mass}{volume}[/tex]

Substitute:

[tex]\dfrac{8.05g}{cm^3}=\dfrac{750g}{V}[/tex]

cross multiply

[tex]8.05gV=750gcm^3[/tex]

divide both sides by 8.05g

[tex]V\approx93.17cm^3[/tex]

The formula of a volume of a square pyramid:

[tex]V=\dfrac{1}{3}a^2H[/tex]

a - length of  square base

H - height of a pyramid

We have:

[tex]V=93.17cm^3;\ H=13.5cm[/tex]

Substitute:

[tex]93.17=\dfrac{1}{3}a^2(13.5)[/tex]

multiply both sides by 3

[tex]279.51=13.5H[/tex]

[tex]297.51=13.5a^2[/tex]

divide both sides by 13.5

[tex]a^2\approx20.7\to a=\sqrt{20.7}\approx4.55(cm)[/tex]

Answer:

Step-by-step explanation:

volume of pyramid=1/3×base area×height

let the length of base=x

base area=x²

volume V=1/3×x²×13.5=4.5 x²

mass=volume×density

750=4.5 x²×8.05=36.225 x²

x²=750/36.225

x=√(750/36.225)≈4.55 cm

Simplify (x+3)(x-1) - x(x+2)

Answers

Answer:

-3

Step-by-step explanation:

(x+3)(x-1) - x(x+2)

Foil the first term

First x^2

outer -x

inner 3x

last -3

Add them together

x^2 -x+3x-3 = x^2 +2x-3

x^2 +2x-3  - x(x+2)

Distribute the second term

x^2 +2x-3 -x^2 -2x

Combine like terms

-3

Answer:

[tex]\boxed{-3}[/tex]

Step-by-step explanation:

Hey there!

Well to simplify,

(x+3)(x-1) - x(x+2)

we need to do

(x+3)(x-1) first,

(x+3)(x-1)

x*x = x^2

-x + 3x = 2x

-1 * 3 = -3

[tex]\boxed{x^2 + 2x - 3}[/tex]

Now we can do,

x(x+2)

x*x = x^2

x*2 = 2x

[tex]\boxed{x^2 + 2x}[/tex]

So now we need to subtract the 2 products,

x^2 - x^2 = 0

2x - 2x = 0

The answer is,

[tex]\boxed{-3}[/tex]

Hope this helps :)

Find the value of x that makes ABCD a parallelogram.

Answers

Answer:

x = 10

Step-by-step explanation:

A parallelogram's angles should all add up to 360 degrees. 130+130 is equal to 260 degrees. 360-260 is equal to 100. Because we need to find the individual angles of Angle A and Angle C, we will divide 100 by two. That leaves us with 50 degrees for Angle A and Angle C EACH. We know Angle C is equal to 5x. So, we would divide 50 by 5, which leaves us with 10 degrees. Therefore, x = 10.

In the case of Confidence Intervals and Two-Tailed Hypothesis Tests, the decision rule states that: Reject H0 if the confidence interval ______ contain the value of the hypothesized mean mu0.

Answers

Answer: Reject [tex]H_0[/tex] if the confidence interval does not contain the value of the hypothesized mean [tex]\mu_0[/tex].

Step-by-step explanation:

In the case of Confidence Intervals and Two-Tailed Hypothesis Tests,

Null hypothesis : [tex]H_0:\mu=\mu_0[/tex]  [There is no change in mean.]

Alternative hypothesis: [tex]H_a:\mu\neq\mu_0[/tex]  [There is some difference.]

Since confidence intervals contain the true population parameter ( mean).

So, Decision rule states that

Reject [tex]H_0[/tex] if the confidence interval does not contain the value of the hypothesized mean [tex]\mu_0[/tex].We do not reject [tex]H_0[/tex] if the confidence interval contains the value of the hypothesized mean [tex]\mu_0[/tex].

Which equation models this situation?
The sum of 24 and a number is 40.
2 of 12 QUESTIONS
24- x = 40
24+ 40 = x
40 + x = 24
24+ x = 40
SUBMIT
Add​

Answers

Answer:

24+x=40

Hope this helped

Answer:

hes right look up there

Step-by-step explanation:

hes right :) only for a p e x

Angle 6 and 7, are complementary angles?

Answers

Answer:

Hey there!

Angle 6 and angle 7 are actually supplementary angles, which are angles that add to 180 degrees.

Complementary angles are angles that add to 90 degrees.

Hope this helps :)

Answer:

∠6 & ∠7 are not complementary angles

Step-by-step explanation:

∠6 & ∠7 are supplementary angles on a line

Please answer please this in two minutes

Answers

Answer:

s= 14

Step-by-step explanation:

The missing side is s

sin 30° = 7/s        switch s and sin 30°

s = 7/sin 30°

sin 30° is 0.5

so :

s = 7/0.5s= 14

Other Questions
A cube has a side length of 10 inches. Jada says the surface area of the cube is600 in?, and Noah says the surface area of the cube is 3,600 in?. Remember wecalculate surface area by finding the area of all the surfaces and adding them up.Here is how each of them reasoned:Jada's Method:Noah's Method:6. 1026.1026.1006026003,600Do you agree with either of them? Explain your reasoning. 4. The students who misbehaved in class werewith a warning. (forgive)5. Tenzingsome German during his tourof Berlin. (learn)6. Geethavery well with her colleagues.(be friendly)WRITINGWrite a short news report based on Hoseas ministry began at a time of great economic prosperity for Israel, but that rapidly disintegrated into one of national catastrophe by the end of his ministry. True or False Find end inventory and cost of goodsDate Transactions Units Unit Cost Total Cost June 1 Beginning inventory 16 $ 340 $ 5,440 June 7 Sale 11 June 12 Purchase 10 330 3,300 June 15 Sale 12 June 24 Purchase 10 320 3,200 June 27 Sale 8 June 29 Purchase 10 310 3,100 $ 15,040 ASAP PPL!!!! How many 11-player soccer teams can be formed from 16 total players? Which word has the same MIDDLE SOUND as 'HOUSE'? A.caught B.fowl C.course D.august Please help!! Which inequality is graphed on the coordinate plane? If the triangle on the grid below is translated by using the rule (x, y) right-arrow (x + 5, y minus 2), what will be the coordinates of B prime? Implement function easyCrypto() that takes as input a string and prints its encryption defined as follows: Every character at an odd position i in the alphabet will be encrypted with the character at position i+1, and every character at an even position i will be encrypted with the character at position i 1. In other words, a is encrypted with b, b with a, c with d, d with c, and so on. Lowercase characters should remain lowercase, and uppercase characters should remain uppercase. >>> easyCrypto('abc') bad >>> easyCrypto('Z00') YPP car travel at the speed of 20 km/hr for 2 hour and 60 km/hr for next 2 hour find average speed A new operating system for an existing maching is expected to cost $786000 and have a useful life of six years. The system yields an incremental after-tax income of $230000 each year after deducting its straight line depreciation. The predicted salvage value of the system is $90000. Assume the company requires a 10% rate of return on its investments. Compute the net present value of each potential investment. Why is it important to reduce demand for renewable resources?A. To allow resources to be replenished naturallyB. To increase the need for recyclingC. To ensure that demand exceeds supplyD. To increase the price of resources THESE NEED TO BE ANSWERED/TRANSLATED IN FRENCH A. Are there any public services provided in Switzerland that are not provided in the USB. Are there any public services provided in the US that are not provided in Switzerland ? C. How do the public services provided in each country compare with each other ? PLZ HELP THESE NEED TO BE ANSWERED IN FRENCH PLEASE HELP The coefficients of the first four terms in the expansion of (a + b) ^5 are a) 1, 3, 5, 7 b) 1, 4, 6, 4 c) 1, 2, 3, 4, 5 d) 1, 5, 10, 10 Ejenplo de numeros enteros de una cifra por extension 4. The NRF guiding principles include engaged partnership, tiered response, unity of effort and readiness to act, andA Whole CommunityB. Environmental Response Health and SafetyC. Scalable, flexible, and adaptable operational capabilitiesD. Operational Coordination Kellianne lined up the interior angles of the triangle along line p below. Which statements are true for line p? Check all that apply. It is a straight line with a measure of 360. It stays the same even if the angles in the triangle change. The line will not be straight if one of the angles in the triangle is changed to an obtuse angle. The line is only straight when one of the angles is a right angle. It represents the sum of the measures of the interior angles of the triangle. The line will not be straight if all the angles in the triangle are acute. It combines the three interior angles of the triangle to form a straight line. It is a straight line with a measure of 180. As a sysadmin, you will find yourself doing business with a variety of third-party vendors. Which of these are likely to be rented or bought from a vendor? Check all that apply. Which of these is a form of early black music used by vocalists when theyimprovise? State the degrees of freedom error in each of the following tests. (a) A consultant measures job satisfaction in a sample of 14 supervisors, 14 managers, and 14 executives at a local firm. (b) A researcher tests how nervous public speakers get in front of a small, medium, or large audience. Ten participants are randomly assigned to each group. (c) A high school counselor has 8 students in each of five classes rate how much they like their teacher.