3. What is the degree of the polynomial 3x^4 + 2x^2 + 5x? *

Answers

Answer 1

Answer:

the degree of that polynomial is 4


Related Questions

The number of bagels sold daily for two bakeries is shown in the table: Bakery A Bakery B 15 15 52 16 51 34 33 35 57 12 12 9 45 36 46 17 Based on these data, is it better to describe the centers of distribution in terms of the mean or the median? Explain. Mean for both bakeries because the data is symmetric Mean for Bakery B because the data is symmetric; median for Bakery A because the data is not symmetric Mean for Bakery A because the data is symmetric; median for Bakery B because the data is not symmetric Median for both bakeries because the data is not symmetric

Answers

Answer:

Which numbers go to each bakery

Answer:

D.  Median for both bakeries because the data is not symmetric.

Step-by-step explanation:

Which of the following equations have exactly one solution? Choose all answers that apply: A.6x-15=6x+15 B.6x-6=6x+15 C.6x+15=6x+15 D.6x-6=15x+15

Answers

Answer: D

Step-by-step explanation:

In every other solution, x gets canceled out, so it has no impact on the equation.  Thus, A, B, and C all have either infinite or no solution, because they have 6x on both sides of the equation.

Further proof:

6x-6=15x+15

Add(6)

6x=15x+21

Subtract(15x)

-9x=21

Divide(-9)

x = -2 3/9

Hope it helps <3

Answer:

d) 6x - 6 = 15x + 15

Step-by-step explanation:

Well let’s solve.

a)

6x - 15 = 6x + 15

Lets use the communicative property which is the moving of numbers.

We can start with -15, so we do +15,

6x = 6x + 30

Then we can do -6x

0 = 30

This is a false statement meaning there is no solution.

b)

6x - 6 = 6x + 15

We can start by doing +6

6x = 6x + 21

-6x

0 = 21

Again, this is a false statement meaning this has no solutions.

c)

6x + 15 = 6x + 15

So we do -15

6x = 6x

If this is the case then there is infinitely many solutions.

d)

6x - 6 = 15x + 15

So we can start by doing +5p6

6x = 15x + 21

Then we can do -15x

-9x = 21

then we can do 21 / -9 which is -2 1/3.

x = -2 1/3

So this has one solution.

For what values of a the following expressions are true: |a|=−a

Answers

Answer:

Any negative number and 0 works for the expression.

Step-by-step explanation:

Looking at this type of equation, we know that either EVERY negative number and 0 or EVERY positive number and 0 will work for this equation, since nothing is being added and we're just working with absolutes/negatives.

Let's try a random positive number in the expression

[tex]|6| = -(6)\\6 \neq -6[/tex]

So this positive number doesn't work, let's just test with another one.

[tex]|9| = -(9)\\9 \neq -9[/tex]

So we know that positive numbers won't work with this expression.

Let's test 0 quickly, just to make sure.

[tex]|0| = -0\\0 = 0[/tex]

So 0 works.

Let's try a few negative numbers now.

[tex]|-5| = -(-5)\\5 = 5[/tex]

So yes, this does work. Let's try one more negative number.

[tex]|-120| = -(-120)\\120 = 120[/tex]

This works. So, every negative number and 0 work with this equation.

Hope this helped!

Answer:

|a|=−a is true only if a is negative or zero

Step-by-step explanation:

Recall that absolute values are always 0 or positive.  

|a|=−a is true only if a is negative or zero.

Jordan weighs twice as much as
Sam. Togcther, they weigh 180
pounds. How much do each of
them weigh?

Answers

Answer:

Jordan weighs 120 pounds, Sam weighs 60 pounds

Step-by-step explanation:

We can create an equation 2s=J. Our second equation is S+J=180. We can substitute J for 2s and our new equation will be 3s=180. We can divide 3 from both sides and we get s= 60. And we know that Jordan weighs two times as sam, then Jordan weighs 120 pounds.

Answer: Jordan=120. Sam=60

Step-by-step explanation: Together they weigh 180 pounds Jordan weighs twice as much as sam. We can write their values as Sam=x and Jordan=2x then we can make a equation

2x+x=180

3x=180

x=60

Then we can substitute x in Jordan and sams values to get our final answe;

Jordan=120. Sam=60

Which an equation of a line that has a y-intercept at (0,0) (create your own slope)

Answers

Answer:

y = 3x

Step-by-step explanation:

Assume a slope of 3

The y intercept is 0

The slope intercept form of the equation is

y= mx+b where m is the slope and b is the y intercept

y =3x+0

y = 3x

this is algebra 1, the answers are on the bottom help please

Answers

Answer:

c. x ≤ 6

Step-by-step explanation:

Well we can tell the line is solid so we can cross out answers,

b.

And it is 6 units to the right where x is less than or equal to 6.

Thus,

the answer is c. x ≤ 6.

Hope this helps :)

Answer:

C

Step-by-step explanation:

x less than or equal to 6

If there had been a dashed vertical line at 6, it would have just been less than

Which are the roots of the quadratic function f(q) = q? - 125? Select two options.
Oq=515
Oq=-575
Oq=3/5
Oq=-375
Oq=25/5

Answers

Answer:

A and C

Step-by-step explanation:

The roots of the quadratic function f(q) = q² - 125 are q = 5 and q = -5.

What is a function?

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The quadratic function f(q) = q² - 125 can be factored as (q - 5)(q + 5).

Now,

To find the roots, we set the function equal to zero and solve for q:

So,

q² - 125 = 0

(q - 5)(q + 5) = 0

q - 5 = 0 or q + 5 = 0

q = 5 or q = -5

Therefore,

The roots of the quadratic function f(q) = q² - 125 are q = 5 and q = -5.

Learn more about functions here:

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Which expression can be used to find the surface area of the following square pyramid?

Answers

Answer:

4[1/2(5 x 6)] + 6x6

Step-by-step explanation:

The first part of the expression is 4[1/2(5 x 6)]. This is the formula to find the surface area of the triangles. A regular triangle's area is 1/2(l*w). Since there are four trinagles, you have to multiply the whole expression by 4.

The second part of the equation is finding the surface area of the base which is a square. Since squares have four equal sides, its safe to say that you can use 6 * 6.

Hope that helped!

Simplify each expression using the proper order of operations. please help thank you so much :)

[tex]\frac{41-3^2}{\sqrt{36}*3-26 }[/tex]= ?

12 +[tex]\sqrt[3]{8}[/tex] *(9-2)= ?

[tex]\frac{28-(7^2+3)}{-13+3*5}[/tex]= ?

[tex]\frac{28}{4}[/tex] -[tex]\sqrt[3]{8}[/tex]*2^3= ?

7^2 - 5* 8+1= ?

(2*[tex]\sqrt{16}[/tex]) -([tex]\sqrt[3]{27}[/tex]*[tex]\sqrt{81}[/tex] ) + 7= ?

Answers

Answer:

a) [tex]\boxed{-4}[/tex]

b) [tex]\boxed{26}[/tex]

c) [tex]\boxed{-12}[/tex]

d) [tex]\boxed{-9}[/tex]

e) [tex]\boxed{10}[/tex]

f) [tex]\boxed{-12}[/tex]

Step-by-step explanation:

1) [tex]\frac{41 - 3^2}{\sqrt{36}* 3-26 }[/tex]

=> [tex]\frac{41-9}{6*3-26}[/tex]

=> [tex]\frac{32}{18-26}[/tex]

=> [tex]\frac{32}{-8}[/tex]

=> -4

2) [tex]12+\sqrt[3]{8} * (9-2)[/tex]             ∴ [tex]\sqrt[3]{8} = 2[/tex]

=> [tex]12+2*(7)[/tex]

=> 12 + 14

=> 26

3) [tex]\frac{28-(7^2+3)}{-13+3*5}[/tex]

=> [tex]\frac{28-(49+3)}{-13+15}[/tex]

=> [tex]\frac{28-52}{2}[/tex]

=> [tex]\frac{-24}{2}[/tex]

=> -12

4) [tex]\frac{28}{4} - \sqrt[3]{8} * 2^3[/tex]

=> 7 - 2 * 8

=> 7 - 16

=> -9

5) [tex]7^2-5*8+1[/tex]

=> 49 - 40 + 1

=> 9 + 1

=> 10

6) [tex](2 * \sqrt{16} ) - (\sqrt[3]{27} * \sqrt{81} ) + 7[/tex]

∴  [tex]\sqrt{16} = 4, \sqrt[3]{27} = 3 , \sqrt{81} = 9[/tex]

=> (2 * 4) - (3 * 9) + 7

=> 8 - 27 + 7

=> -19 + 7

=> -12

Answer:

[tex]\boxed{\mathrm{view \: explanation}}[/tex]

Step-by-step explanation:

Apply order of operations to solve each expression.

[tex]\frac{41-9}{6 \times 3-26}[/tex]

[tex]\frac{41-9}{18-26}[/tex]

[tex]\frac{32}{-8}=-4[/tex]

[tex]12+2\times 7[/tex]

[tex]12+14=26[/tex]

[tex]\frac{28-(49+3)}{-13+15}[/tex]

[tex]\frac{28-52}{2}[/tex]

[tex]\frac{-24}{2} =-12[/tex]

[tex]7-2 \times 8[/tex]

[tex]7-16=-9[/tex]

[tex]49-40+1[/tex]

[tex]=10[/tex]

[tex](2 \times 4)-(3 \times 9) +7[/tex]

[tex]8-27+7[/tex]

[tex]=-12[/tex]

8, 18, 11, 15, 5, 4, 14, 9, 19, 1, 7, 17, 6, 16, ? , ?, ?, ?, ? Now, the only numbers used are in the range of 1 to 19. No numbers can be repeated. Now, there is a pattern to the sequence of numbers, and your keen powers of observation will be able to note that the last five numbers used in the sequence will be some combination of 13, 12, 10, 3, and 2. (If you’re more into logic brain-busters, a MIT professor called this puzzle “the hardest ever.”) Any luck? Here are a few hints: The sequence doesn’t obey any mathematical rule, and it is not counting any particular group of things. The only way to figure out the problem, according to Spencer, is to think of the numbers as words and write them out. The completed sequence is as follows: 8, 18, 11, 15, 5, 4, 14, 9, 19, 1, 7, 17, 6, 16, 10, 13, 3, 12, 2. Numerically, the sequence’s order is meaningless. That’s because they’re actually just listed in alphabetical order. While you’re in puzzle-mode, a bunch of raccoons solved this ancient Greek riddle—can you figure it out?

Answers

Answer:

8, 18, 11, 15, 5, 4, 14, 9, 19, 1, 7, 17, 6, 16, 10, 13, 3, 12, 2

Step-by-step explanation:

The answer is actually very simple: the numbers are placed in alphabetical order.

E ight

E ighteen

E leven

F ifteen

F our

F ourteen

N ineteen

O ne

S even

S eventeen

S ix

S ixteen

T en

T hirteen

T hree

T welve

T wo

Write each of the following expressions without using absolute value. |7m–56|, if m<8

Answers

Answer:

[tex]|7\cdot m -56| = -7\cdot m + 56[/tex] if [tex]m< 8[/tex]

Step-by-step explanation:

According to the definition of absolute value:

[tex]f(x)[/tex] if [tex]f(x) \geq 0[/tex]

[tex]-f(x)[/tex] if [tex]f(x) <0[/tex]

If [tex]m < 8[/tex], then:

[tex]y_{max} = 7\cdot (8) - 56[/tex]

[tex]y_{max} = 0[/tex]

[tex]y[/tex] becomes negative as [tex]m[/tex] diverges to [tex]-\infty[/tex].

Then, the absolute value can be rewritten as follows:

[tex]|7\cdot m - 56| = -(7\cdot m -56)[/tex] if [tex]m <8[/tex]

[tex]|7\cdot m -56| = -7\cdot m + 56[/tex] if [tex]m< 8[/tex]

Max and Sven bike away from home in the same direction starting at noon. They bike at constant speeds. Max bikes at xmph and he is ymph faster than Sven. By 4pm, how far ahead of Sven would Max be? Translate into an algebraic expression and simplify if possible.

Answers

Answer:

4y miles

Step-by-step explanation:

Max : x miles per hour

Sven: y miles per hour  slower

        x-y is the speed for Sven

We know that distance = speed * time

Distance for Max = x*t

Distance for Sven = (x-y) * t = xt - yt

The difference in distance is Max's distance minus Sven's distance

xt - ( xt-yt)

xt - xt +yt

yt

Max is yt miles ahead where t is the time

The time is noon to 4  which is 4 hours

Changing t to 4

The distance ahead is 4y miles

Help ! Help ! Help !

Answers

Answer: $ 82,531.59.

Step-by-step explanation:

Formula to calculate the accumulated amount compounded daily:

[tex]A=P(1+\dfrac{r}{365})^{t}[/tex]

,where P=principal amount, t=time ( in days ), r =rate of interest.

Given: P= $51,123.21

r = [tex]2\dfrac{3}{8}\%=\dfrac{19}{8}\%=0.02375[/tex]

t= 20 years 2 months

[tex]= 20(365)+\dfrac{2}{12}(365)\\\\= 7360.83[/tex]  [1 year = 365 days, 1 year = 12 months]

Substitute all values in the formula, we get

[tex]A=(51123.21)(1+\dfrac{0.02375}{365})^{7360.83}\\\\\approx82531.59[/tex]

hence, future value = $ 82,531.59.

What is the measure of the angle between the minute and the hour hands, when they show 3:05 PM?

Answers

The measure of the angle is 17

Answer:

62.5°

Hope this helps :)

what is the average rate of change of f over the interval [-3,9]

Answers

Answer:

According to the graph, f(−3)=3 and f(9)=-7

-7-3/9-(-3)= −10/12

Therefore the answer is -5/6

From Khan

The average rate of change over the interval [-3,9] will be 63 units per one unit change in y - value.

What is Polynomial? What are exponents? What is the general equation of a straight line? A polynomial is defined as an expression which is composed of variables, constants and exponents, that are combined using mathematical operations such as addition, subtraction, multiplication and division.An exponent is a number that is placed as a superscript over a number. In other words, it indicates that the base is raised to a certain power. Tis expression means that -

        [tex]b^x = \underbrace{b \times \dots \times b}_{x \text{ times}}[/tex]

The general equation of a straight line is : y = mx + c

        where : [m] → is slope of line and [c] → is the y - intercept

We have the following function -

f(x) = x³ - 9

The average rate of change would be -

r = {720 - (- 36)}/{9 - (- 3)}

r = 756/12

r = 63

Therefore, the average rate of change over the interval [-3,9] will be 63 units per one unit change in y - value.

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[ Complete question -

what is the average rate of change of f(x) = x³ - 9 over the interval [-3,9] ]

What is the function rule represented by the following table? x y 0 0 1 -2 -2 4 y = -x - 1 y = -2x y = x - 3 y = -3x + 2

Answers

Answer:

[tex]y = -2x[/tex]

Step-by-step explanation:

Given

x || 0 || 1 || -2

y || 0 ||  -2 || 4

Required

Determine the function rule

First, we have to determine the slope of the function using;

[tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex]

Where x and y represent any two corresponding values of x and y

When x = 0; y = 0  [tex](x_1,y_1)[/tex]

When x = 1; y = -2  [tex](x_2,y_2)[/tex]

Substitute these values in [tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex]

[tex]m = \frac{0 - (-2)}{0 - 1}[/tex]

[tex]m = \frac{0 +2}{0 - 1}[/tex]

[tex]m = \frac{2}{- 1}[/tex]

[tex]m = -2[/tex]

Next, is to determine the function rule; using slope intercept form as follows;

[tex]y - y_1 = m(x - x_1)[/tex]

Take any corresponding values of x and y as x1 and x2

When x = -2; y = 4

[tex]y - y_1 = m(x - x_1)[/tex] becomes

[tex]y - 4 = -2(x - (-2))[/tex]

[tex]y - 4 = -2(x + 2)[/tex]

Open the bracket

[tex]y - 4 = -2x -4[/tex]

Add 4 to both sides

[tex]y - 4 + 4 = -2x - 4 + 4[/tex]

[tex]y = -2x[/tex]

Hence, the function rule is [tex]y = -2x[/tex]

Answer:

y = -2 x - 1

Step-by-step explanation:

PLEASE PLEASE HELP WILL MARK BRAINLY

Answers

Answer:

The second option (see attached image)

Step-by-step explanation:

You are looking for a box diagram that represents 9 units, and from those, clearly marked sections that contain 3/2 = 1.5 units.The idea is to count how many 1.5 units you have in 9 units.

The in the second diagram you see 9 boxes subdivided in half. Then outlined in red other smaller boxes of length 1.5 units. We can clearly see from the diagram that there are exactly 6 of these smaller 1.5 units red boxes to produce the total 9 unit object.

Translate into an algebraic expression and simplify if possible. I have a total of 10 gigabytes of data on my computer, xgigabytes are movies, pictures take up half the amount of space that movies do and the rest is music. How many gigabytes of music is stored on my computer?

Answers

Answer:

(20-3x)/2 GB

Explanation:

Total amount of data on my computer = 10GB

Total amount of data occupied by movies = x GB

If pictures take up half the amount of space that movies do, then;

Total amount of data occupied by pictures = 1/2 of space occupied by movies = 1/2 x

If the remaining are music, the amount of space occupied by music will be expressed as shown;

Total space -(space occupied by movies + space occupied by pictures)

= 10 - (x+1/2 x)

Total amount of data occupied by music = 10 - (x+1/2 x) GB

On simplification;

= 10 - (x+1/2 x)

= 10-{(2x+x)/2}

= 10 - {3x/2}

= (20-3x)/2 GB

Hence, amount of gigabytes of music stored on my computer is expressed as (20-3x)/2 GB.

(03.03) Match the number with its opposite.

Answers

Answer:

-3.2 is the opposite of 3.2

2.3 is the opposite of -2.3

1.5 is the opposite of -1.5

-5.1 is the opposite of 5.1

Step-by-step explanation:

If your value is a positive, make it a negative

Ex. 3-->-3

If your answer is a negative, make it a positive

Ex. -3-->3

Answer:

-3.2 is the opposite of 3.2

2.3 is the opposite of -2.3

1.5 is the opposite of -1.5

-5.1 is the opposite of 5.1

s25=625, s13=169 find an

Answers

Answer:what!?

Step-by-step explanation:

*PLEASE ANSWER* What is the perimeter of the triangle below?

Answers

Answer:

16.7 Units

Step-by-step explanation:

To find the length of r, you set up the equation as sin(45)= 4.9/r. Then you get r by itself changing it to r = 4.9/sin(45). Then you can find that r = 6.9. Since this is an isosceles triangle, n^1 has to be equal to 4.9. Then you add all the side lengths together. 4.9 + 4.9 + 6.9 = 16.7 units

Answer:

it is b

Step-by-step explanation:

just because it is ...

Write the sentence as an equation: 220 is 48 and h more

Answers

Answer:

220=48+h or 220=48h

Step-by-step explanation:

the word more can refer to a greater degree or extent.  possibly referring

to addition or multiplication.

Answer:

220=48+h

Step-by-step explanation:

We know that 220 is the sum of 48 and h so you just represent it in an equation/equality statement.

can somewon help me i eally need help

Answers

Answer: The answer should be 1/2

Step-by-step explanation:

Answer:

i say 1/6 but pleaseeee dont go off my answer im not 100%

Step-by-step explanation:

Find the measure of y.

Answers

the measure of y is 133
The measure of y should be 133

helpppp me now plz help

Answers

I’m pretty sure to find the mean then after you find the average u can determine the answer

Answer:

0.53 is the right answer

Hillary has to drive 225 miles in four and a half hours. What should her average speed be in order to arrive on time? 56 mph 45 mph 50 mph 48 mph

Answers

Answer:

50 mph

Step-by-step explanation:

225 in 4.5 Hours

1 Hour - 50 miles

(225 ÷ 4.5 = 50)

Hope this helps.

Answer:

50mph

Step-by-step explanation:

To figure this out you would just have to divide the number of miles which is 255 by the number of hours which is 4.5 and you would get 50mph.

What is the value of the expression *picture attached*

Answers

Answer:

[tex]12(3 + 4 + 5 + ...... + 12 + 13) = 1056[/tex]

Step-by-step explanation:

Given:

The attached

Required

Find the value of the expression

The interpretation of is to add the sequence: 12n

where n = from 3 to 13

Solving the for each term of the sequence

[tex]When\ n = 3, 12n = 12(3)[/tex]

[tex]When\ n = 4, 12n = 12(4)[/tex]

[tex]When\ n = 5, 12n = 12(5)[/tex]

....................

...........

...

.

[tex]When\ n = 12, 12n = 12(12)[/tex]

[tex]When\ n = 13, 12n = 12(13)[/tex]

The sum is then calculated as follows;

[tex]Sum = 12(3) + 12(4) + 12(4) + ...... + 12(12) + 12(13)[/tex]

12 is a common factor;

Hence;

[tex]Sum = 12(3 + 4 + 5 + ...... + 12 + 13)[/tex]

Replace ....... with actual numbers

[tex]Sum = 12(3 + 4 + 5 +6 + 7 + 8 + 9 + 10 + 11 + 12 + 13)[/tex]

[tex]Sum = 12(88)[/tex]

[tex]Sum = 1056[/tex]

Hence;

[tex]12(3 + 4 + 5 + ...... + 12 + 13) = 1056[/tex]

From the list of given options;

Option B is correct

[tex]12(3 + 4 + 5 + ...... + 12 + 13) = 1056[/tex]

Which of the following theorems verifies that WVU = RST?

А. НА
B. HL
C. LA
D. LL

Answers

Answer: C. LA

Explanation:

Angle W = Angle R (given)
VU = ST (given)
Angle U = Angle T = 90 (right angle of the right triangle)

Then we can say that triangle VWU = SRT (ASA)

The correct theorems which verifies that, WVU = RST is,

⇒ HL

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

To find correct theorems which verifies that, WVU = RST

Now, We know that;

The Hypotenuse-Leg Theorem is the only viable way to determine congruency between 2 right triangles.

Here, By both triangles;

⇒ ∠VUW = 90°

⇒ ∠STR = 90°

Thus, The correct theorems which verifies that, WVU = RST is,

⇒ HL

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Which of the following best describes the relationship between (x-3) and the
polynomial x3 + 4x2 + 2?

Answers

Answer:

c. (x-3) is not a factor.

Step-by-step explanation:

please help me immediately ​

Answers

I hope this helps you out. It is very tedious
Other Questions
which of the following adaptions allowed plants to transport water and nutrients from the soil to all of the cells within the plant? A. Vascular systemB. LeavesC.Cuticle D. circulatory system Find the value. X3-4 when x=3PLEASE HELP!!! ASAP!!! is this right?? please help! Devis mother is three times as old as Devi. Five years ago, Devis mother was four times as old as Devi was then. Find their present ages Fred is a 20-year-old who lives in a large metropolitan city. He graduated high school but decided that he would get a job immediately following high school instead of going to college. He thought making money at that moment was more important than furthering his education. Now, Fred realizes he is stuck at a dead-end job making minimum wage and is tired of working so many hours and making so little money. Fred is thinking about committing various crimes in order to supplement his income. According to the research on burglaries, in general, when do burglars prefer to commit their crimes? Is this equation linear or nonlinear?y =x/2 The 26th Amendment ensures the right to a. a fair settlement. c. vote to women. b. a trial by jury. d. vote to 18 year old citizens. . A belt drive is desired to couple the motor with a mixer for processing corn syrup. The 25-hp electric motor is rated at 950 rpm and the mixer must operate as close to 250 rpm as possible. Select an appropriate belt size, commercially available sheaves, and a belt for this application. Also calculate the actual belt speed and the center distance. Determine whether the study is an observational study or an experiment. Research is conducted to determine if there is a relation between hearing loss and exposure to mumps. Does the description correspond to an observational study or an experiment? Pleas answer this question now interpret the electron configuration PLZZZZZZ HELP I NEED IT I AM GOING TO FAIL PLZZZZ I AM COUNTING ON YOU For which situations is it appropriate to use a sample? Select three options. A. What percentage of pick-up truck drivers want their next vehicle purchase to be another pick-up truck? B. What is the average number of rainbows each year in Honolulu? C. How many pedestrians would use a walkway built over a busy road? D. How many police cars are equipped with computers? E. What is the most popular car color in the teachers parking lot? A current carrying loop of wire lies flat on a table top. When viewed from above, the current moves around the loop in a counterclockwise sense. (a) For points OUTSIDE the loop, the magnetic field caused by this current:________. a. points straight up. b. circles the loop in a clockwise direction. c. circles the loop in a counterclockwise direction. d. points straight down. e. is zero.(b) For points INSIDE the loop, the magnetic field caused by this current:________.a. circles the loop in a counterclockwise direction. b. points straight up. c. points straight down. d. circles the loop in a clockwise direction. e. is zero Provide an appropriate response. At a college there are 120 freshmen, 90 sophomores, 110 juniors, and 80 seniors. A school administrator selects a random sample of 12 of the freshmen, a random sample of 9 of the sophomores, a random sample of 11 of the juniors, and a random sample of 8 of the seniors. She then interviews all the students selected. Identify the type of sampling used in this example. How did the astrolabe most affect European voyages?O It helped explorers travel at sea.O It assisted in the creation of maps.o It helped make ships sturdier for travel.O It made it easier to build larger ships for trade Assume that a lightning bolt can be represented by a long straight line of current. If 15.0 C of charge passes by in a time of 1.510-3s, what is the magnitude of the magnetic field at a distance of 24.0 m from the bolt? 1. What relationships are important/influential in this Dorothy's life? (Wizard of Oz) List three relationships and give examples from the text, explaining how each relationship shaped the character. Will give BRAINIEST for an unique and accurate answer. :) (NO TROLLING or I'll report!) to solve the equation 3 x + 1 = 4 x + (negative 4) A single-phase transformer has 480 turns on the primary and 90 turns on the secondary. The mean length of the flux path in the core is 1.8 m and the joints are equivalent to an airgap of 0.1 mm. The value of the magnetic field strength for 1.1 T in the core is 400 A/m, the corresponding core loss is 1.7 W/kg at 50 Hz and the density of the core is 7800 kg/m3. If the maximum value of the flux density is to be 1.1 T when a p.D. Of 2200 V at 50 Hz is applied to the primary, calculate: a. The cross-sectional area of the core; b. The secondary voltage on no load; c. The primary current and power factor on no load. evaluate sine squared theta for theta equals 45 degrees