What is the greatest common factor of the terms of the polynomial below!
12x 6pion
O A 21
Bax ?
D. 22

Answer:

2 hours and 30 minutes

Step-by-step explanation:

25/5 = 5 Divide to find out how many fives are there in 25.

5 x 30 = 150 minutes (multiply 5 by 30 to find out how many minutes)

150/60 = 2.5 hours or in other words, 2 hours and 30 minutes ( Convert the minutes into hours by dividing by 60)

Answer:

B

Step-by-step explanation:

I don't like the ones where we have to approximate, but you did say please.

That's a right triangle, relative to x we're give the opposite leg 6.1, and the adjacent leg 5.1, so

tan x = opposite/adjacent = 6.1/5.1

x = arctan (6.1/5.1)

x ≈ 50.1°

Answer: 50.1

We leave out the degree sign because it's not part of x -- it's written separately at L.

9514 1404 393

Answer:

  D

Step-by-step explanation:

The first equation of System 2 is the first equation of System 1.

The second equation has an x-coefficient of (A-L). The coefficients of x in System 1 are A and L, so (A-L) is their difference. The second equation of System 2 is the difference of the equations in System 1.

__

This is described by Choice D:

The second equation in System 2 is the difference of the equations in System 1. The first equation in System 2 is the first equation in System 1.

x + 2 1/2 = 10

x + 0.5 = 10

x = 9.5

Someone donated 2 toys and one-half of a toy. Someone donated a random out of toys and we had 10 toys in total.

x equal that mystery amount of toys that were dontated.

The options are missing, so i have attached them.

Answer:

options B, E, G & H are correct.

Step-by-step explanation:

A) We are given;

1.71 × 10³ = 0.00171

For this conversion, the exponent attached to 10 is positive. This means we will have to move the decimal point to the right of 1.71 three times because the exponent is 3.

Thus, the proper conversion is;

1.71 × 10³ = 1710

B) We are given;

8.05 × 10^(5) = 805000

For this conversion, the exponent attached to 10 is positive. This means we will have to move the decimal point five times to the right of 8.05 because the exponent is 5.

Thus, the proper conversion is;

8.05 × 10^(5) = 805000

C) We are given;

2.4 × 10⁴ = -24000

For this conversion, the exponent attached to 10 is positive. This means we will have to move the decimal point four times to the right of 2.4 because the exponent is 4.

Thus, the proper conversion is;

2.4 × 10⁴ = 24000

D) We are given;

8.25 × 10^(-3) = -8250

For this conversion, the exponent attached to 10 is negative. This means we will have to move the decimal point three times to the left of 8.25 because the exponent is -3.

Thus, the proper conversion is;

8.25 × 10^(-3) = 0.00825

E) We are given;

7.09 × 10^(-6) = 0.00000709

For this conversion, the exponent attached to 10 is negative. This means we will have to move the decimal point six times to the left of 7.09 because the exponent is -6.

Thus, the proper conversion is;

7.09 × 10^(-6) = 0.00000709

F) We are given;

3.99 × 10^(5) = 300,099

For this conversion, the exponent attached to 10 is positive. This means we will have to move the decimal point five times to the right of 3.99 because the exponent is 5.

Thus, the proper conversion is;

3.99 × 10^(5) = 399,000

G)We are given;

8 × 10^(7) = 80,000,000

For this conversion, the exponent attached to 10 is positive. This means we will have to move the decimal point seven times to the right of 8 because the exponent is 7.

Thus, the proper conversion is;

8 × 10^(7) = 80,000,000

H) We are given;

1.03 × 10^(-4) = 0.000103

For this conversion, the exponent attached to 10 is negative. This means we will have to move the decimal point four times to the left of 1.03 because the exponent is -4.

Thus, the proper conversion is;

1.03 × 10^(-4) = 0.000103

Looking at all the options as well as the proof I got, only options B, E, G & H are correct.

Answer:    [tex]2\sqrt{7}[/tex]

When writing this on a keyboard, you would say 2*sqrt(7)

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

Explanation:

The formula we'll use is

A = 0.5*p*q*sin(R)

where R is the angle between sides p and q.

The diagram shows that p = x+4 is opposite angle P, and q = x is opposite angle Q. Convention usually has the uppercase letters be angles, and the lowercase letters as the sides.

Plug in the given values and simplify to get the following

A = 0.5*p*q*sin(R)

A = 0.5*(x+4)*x*sin(60)

A = 0.5*(x+4)*x*sqrt(3)/2 ..... use the unit circle

A = 0.25*(x^2+4x)*sqrt(3)

A = (0.25x^2+x)*sqrt(3)

Set this equal to the given area of A = sqrt(27) and solve for x

A = (0.25x^2+x)*sqrt(3)

(0.25x^2+x)*sqrt(3) = A

(0.25x^2+x)*sqrt(3) = sqrt(27)

(0.25x^2+x)*sqrt(3) = 3*sqrt(3) .... see note1 at the very bottom

0.25x^2+x = 3

(1/4)x^2+x = 3

x^2+4x = 12 .... see note2 at the very bottom

x^2+4x-12 = 0

(x+6)(x-2) = 0

x+6 = 0 or x-2 = 0

x = -6 or x = 2

A negative side length doesn't make sense, so we ignore x = -6. The only solution here is x = 2.

Since x = 2, this means we have the following side lengths so far

Now apply the law of cosines to find the missing side.

r^2 = p^2 + q^2 - 2*p*q*cos(R)

r^2 = 6^2 + 2^2 - 2*6*2*cos(60)

r^2 = 36 + 4 - 24*1/2

r^2 = 40 - 12

r^2 = 28

r = sqrt(28)

r = sqrt(4*7)

r = 2*sqrt(7)

Side PQ is exactly 2*sqrt(7) units long

This approximates to 2*sqrt(7) = 5.2915

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

Footnotes:

Answer:

Step-by-step explanation:

Every triangle's angles MUST add up to 180. Therefore, 43 + 43 + (6-8x) must be equal to 180. So:

43 + 43 + (6 - 8x) = 180

86 + (6 - 8x) = 180

6 - 8x = 94

-8x = 88

x = -11

Answer:

The answer is "choice c".

Step-by-step explanation:

Below, we shall find the line equation, dissociation for both the management's behavior and achievement.

Here, attitudes are the response variable while performance seems to be the predictor as attitude is achievement dependant.

If Y indicates the attitude while X relates to workers' performance.

Let's describe the data like:

[tex]y=a+bx+e[/tex]

Now we get the estimates of e via the least quadratic method, – i.e., by reducing the number of segments.

[tex]S=\sum e_{i}^{2}=\sum {(y_{i}-a-bx_{i})^{2}}[/tex]

minimize S to obtain the estimates of a and b as:

[tex]\hat{b}=\frac{\sum{(y_{i}-\bar{y})(x_{i}-\bar{x})}}{\sum{(x_{i}-\bar{x})^{2}}}\\\\\hat{a}=\bar{y}-\hat{b}\bar{x}[/tex]

So,

[tex]a=11.7b=1.02[/tex]

Equation:

[tex]Y=11.7+1.02x[/tex]

the answer is 2,0

Step-by-step explanation:

i got it right according to my teacher

The x-intercept of the continuous function shown in the table is, (2, 0)

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Slope = -7+8/1

slope=1

You can see the values of x and f(x) from the given table.

An ordered pairs is in the form of (x, f(x)).

By x-intercept definition;

at x =2

⇒ f(x) = 0

Therefore,  the x-intercept of the continuous function shown in the table is, (2, 0)

To learn more on slope of line click:

https://brainly.com/question/16180119

#SPJ7

Answer:

It is binomial:

p= 0.75 = 75%

1-p = 0.25 = 25%

N = 10

k=7

"seven successes in 10 trials"

(10 choose 7) (0.75)^7 ( 0.25)^3 =

(10*9*8 / 3*2) * (0.75)^7 ( 0.25)^3 =

(5*3*8) (0.75)^7 ( 0.25)^3

120 (0.75)^7 ( 0.25)^3  

= 0.25028228759765625

or just over 25%

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Do 8 divided by 14 =0.571428571

times that by 21 = 12

Answer:

Picture?

Step-by-step explanation:

You gave us nothing to work with

Answer:

well... uhm...its...uhm... 39.9

Step-by-step explanation:

Step-by-step explanation:

domain : i think is x > 4/3

range : y >4

Answer:

Directions: Write the new coordinates for each point or figure.

Sample Question:

Point F has the coordinates (-9,6). What are the coordinates of its image point after the translation of six units down and three units to the left?

Answer:

The coordinates of its image point after the translation are (-12, 0).

Explanation: When you look at an ordered pair the x number comes first, followed by the y number (x,y). Moving a point left or right changes the x number. Moving a point up or down changes the y number. Left and down require subtraction, while right and up require addition. In the sample, we had to go 3 units to the left, -9 - 3 = -12. We also had to go 6 units down, so 6 - 6 = 0.

Point Q has the coordinates (9,5). What are the coordinates of its image point after a translation of six units up and three units to the right?

Point P has the coordinates (3,4). What are the coordinates of its image point after a translation of 8 units down and 5 units to the left?

Point Z has the coordinates (10,7). What are the coordinates of its image point after a translation of six units down and three units to the right?

Point Y has the coordinates (0,-4). What are the coordinates of its image point after a translation of 10 units up and 3 units to the left?

Point X has the coordinates (3,-8). What are the coordinates of its image points after a translation of 11 units down and 10 units to the right?

Answer:

(-10,5)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The number of sandwiches sold: 73

The cost to make one sandwich: S

The profit the band earns from one sandwich: 0.2S

The amount of money that the band recieves for selling one sandwich:

S + 0.2S

Answer:

0.0006 = 0.06% probability of this occurrence

Step-by-step explanation:

For each unit, there are only two possible outcomes. Either it is defective, or it is not. The probability of an unit being defective is independent of any other unit, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

An electronics firm claims that the proportion of defective units of a certain process is 5%.

This means that [tex]p = 0.05[/tex]

A buyer has a standard procedure of inspecting 15 units selected randomly from a large lot.

This means that [tex]n = 15[/tex]

a) What is the probability of this occurrence?

Probability of 5 defective items, whch is P(X = 5). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 5) = C_{15,5}.(0.05)^{5}.(0.95)^{10} = 0.0006[/tex]

0.0006 = 0.06% probability of this occurrence

Answer:

54√2

Step-by-step explanation:

3√3 * 6√6

number x number = 6 * 3 = 18

root * root = √18 = √3^2 *.2 = 3√2

18 * 3 = 54

54√2

Answer:

Step-by-step explanation:

1) the triangle on the right is half of an equilateral one, so the minor leg is 9

the left one has the two legs congruent

so we have

2x^2 = 81

x^2 = 81/2

x = 9/√2 = 9/2 √2 (at the numerator)

2) the top triangle has the congruents leg

hypotenuse^2 = 2(6√6)^2

hypotenuse^2 = 2(216)

hypotneuse^2 = 432

hypotenuse = √2^4 * 3^2 * 3

hypotenuse = 12√3

the triangle in the bottom is half of the an equilateral one, so

x = 12√3 * 2 = 24√3

3) the left triangle has congruent legs

7^2 = leg^2 + leg^2

49 = 2leg^2

leg^2 = 49/2

leg = 7/√2 = (7√2)/2

the right triangle is half of an equilateral one

x = 7√2/2 * √3 =  7/2 √6 (at the numerator)

4) the rifht triangle has two congruent legs

hy^2= 2(7√6)^2

hy^2 = 2(294)

hy^2 = 588

hy = √2^2 * 7^2* 3

hy = 14√3

the triangle on the left is half of an equilteral one: so

x = 14

Answer:

what are you asking

Step-by-step explanation:

Answer:

160 units²

Step-by-step explanation:

Surface area of the square pyramid = a² + 2al

Where,

a = side length of the square = 8

l = slant height of the triangular face = 6

Plug in the values

Surface area of the square pyramid = 8² + 2*8*6

= 64 + 96

= 160 units²

9514 1404 393

Answer:

  40.56 ft

Step-by-step explanation:

The length of the semicircle of diameter 8 ft is ...

  (1/2)(π)(d) = (π/2)(8 ft) = 4π ft ≈ 4×3.14 ft = 12.56 ft

Then the sum of the lengths of all of the sides of the figure is ...

  P = 10 ft + 8 ft + 10 ft + 12.56 ft = 40.56 ft

The perimeter of the figure is about 40.56 ft.

Answer:

A=25% B=75%

Step-by-step explanation:

So first lets make a sample space. (Im using red, blue, green, and yellow)

rr, rb, rg, ry

br, bb, bg, by

gr, gb, gg, gy

yr, yb, yg, yy

So for A its 4/16 or 1/4=25%

For B its 12/16=3/4=75%

Answer:

The volume is 45 cubic units.

So enter "45" into the box.

Step-by-step explanation:

Multiply the dimensions to get the volume. (Length times width times height)

The box is 5 units by 3 units by 3 units.

Solve 5x3x3 (LxWxH) using a calculator...

And you get 45 cubic units.

Answer:

45

Step-by-step explanation:

L= 3

W= 5

H= 3

V=LxWxH

3 x 3 x 5

Answer:

$5.60 or 5.52

Step-by-step explanation:

Step one multiply 2 to 2.80 (Since 6 muffins cost $2.80, a dozen should be 6 times 2. Because a dozen is 12, so half of a dozen is 6, and multiply half by 2 and, you will get the answer.)

[tex]2 \times 2.80 = 5.60[/tex]

Answer:

-2g-11

Step-by-step explanation:

2(3g-4)-(8g+3)

6g-8-8g-3

-2g-11