What are the factors of the polynomial a^2 + a - 2? Select all that apply.

A) a - 1
B) a + 2
C) a + 1
D) a - 2

Answer:

5^2 * 5^9

5^3 * 5^8

5^4 * 5^7

Step-by-step explanation:

The easiest way to approach this problem is to first express 5^(11) in its simplest form:

5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5

Then you can regroup them as you want, to still express the same value, but shown as a product of different numbers, including:

(5) * (5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5) = 5 * 5^(10)

(5 * 5) * (5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5) = 5^2 * 5^9

(5 * 5 * 5) * (5 * 5 * 5 * 5 * 5 * 5 * 5 * 5) = 5^3 * 5^8

(5 * 5 * 5 * 5) * (5 * 5 * 5 * 5 * 5 * 5 * 5) = 5^4 * 5^7

And so on....

Answer:

8n

Step-by-step explanation:

8 and n are factors of the product 8·n.

A correct option is option (a).

The functions factor is used to encode a vector as a factor (the terms ‘category’ and ‘enumerated type’ are also used for factors). If the argument ordered is TRUE, the factor levels are assumed to be ordered. For compatibility with S, there is also a function ordered.

The factor of [tex]8n[/tex] is,

[tex]8\times n[/tex]

We cannot find the factor [tex]8-n[/tex] and [tex]8+n[/tex]

And the factor of [tex]\frac{8}{n}[/tex] is [tex]\frac{8}{n} =8\times \frac{1}{n}[/tex]

Learn more about the topic factor:

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Answer:

106 m²

Step-by-step explanation:

Imagine this shape was a square, it's area would be 120 m².

Now imagine the little rectangle with 7 m as the side, you will have to work out the area of that so

Side = 7

4 + 4 + ? = 10

8 + ? = 10

? = 2

So the area of the little rectangle is 14 m²

Now we minus both of the areas : 120 - 14 = 106

Answer:

The volume is equal to [tex]98,470.4\ cm^{3}[/tex]

Step-by-step explanation:

step 1

Find the radius of the base of cylinder

we know that

The circumference of a circle is equal to

[tex]C=2\pi r[/tex]

we have

[tex]C=87.92\ cm[/tex]

assume

[tex]\pi =3.14[/tex]

substitute and solve for r

[tex]87.92=2(3.14)r[/tex]

[tex]r=87.92/[2(3.14)]=14\ cm[/tex]

step 2

Find the volume of the water tank (cylinder)

The volume is equal to

[tex]V=\pi r^{2} h[/tex]

we have

[tex]r=14\ cm[/tex]

[tex]h=160\ cm[/tex]

assume

[tex]\pi =3.14[/tex]

substitute

[tex]V=(3.14)(14)^{2} (160)[/tex]

[tex]V=98,470.4\ cm^{3}[/tex]

Answer:

The answer is 98470.4

Step-by-step explanation:

I guess it’s the second one because only in the second the x value is giving the respective y value

Answer:

228.8 meters

Step-by-step explanation:

y = -0.04 x² + 9.1 x + 11.9

When the rocket lands, y = 0:

0 = -0.04 x² + 9.1 x + 11.9

Solving for x, start by multiplying by -1:

0 = 0.04 x² - 9.1 x - 11.9

Multiply by 100:

0 = 4x² - 910 x - 1190

Solve with quadratic formula:

x = [ -b ± √(b² - 4ac) ] / 2a

x = [ 910 ± √((-910)² - 4(4)(-1190)) ] / 2(4)

x = [ 910 ± √(847140) ] / 8

x ≈ -1.3, 228.8

Since x can't be negative, x = 228.8 meters.

Answer:

The rocket will land at 208.02 m. Hence, if you are on the same connexus assignment, your answer will be A.

Hope this helps! :D

Answer:

Step-by-step explanation:

\frac{27}{40}  in a decimal is 0.675

I’ve attached a picture of my work!!

Answer:

1:7 2:9

Step-by-step explanation:

Answer:

x = 12z + 1  and y = 10z - 1

Step-by-step explanation:

To solve the system of equations, we can use the substitution method

If we call

3x - 4y + 4z = 7 I

x - y - 2z = 2 II

2x - 3y + 6z = 5 III

Clearing II  x = 2 + y + 2z

Now, replacing II in III

2(2 + y + 2z) - 3y +6z = 5

4 + 2y + 4z - 3y + 6z = 5

10z - y = 1 from here y = 10z - 1

Finally, replacing y in I

3x - 4(10z - 1) + 4z = 7

3x -40z + 4 + 4z = 7

3x - 36z = 3

3x = 36z + 3

x = 12z + 1

Done

Answer:

see explanation

Step-by-step explanation:

4

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{BC}{EF}[/tex] = [tex]\frac{AB}{DE}[/tex] ( substitute in values )

[tex]\frac{x-1}{18}[/tex] = [tex]\frac{4}{12}[/tex] ( cross- multiply )

12(x - 1) = 72 ( divide both sides by 12 )

x - 1 = 6 ( add 1 to both sides )

x = 7

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

5

The parallel line segment SV is half of RW

that is x = 7.5

SV also divides the sides RT and WT in proportion, that is

[tex]\frac{10}{3}[/tex] = [tex]\frac{8}{y}[/tex] ( cross- multiply )

10y = 24 ( divide both sides by 10 )

y = 2.4

Answer:

Step-by-step explanation:

[tex]-3(2x-5)<5(2-x)\qquad\text{use the distributive property}\\\\(-3)(2x)+(-3)(-5)<(5)(2)+(5)(-x)\\\\-6x+15<10-5x\qquad\text{subtract 15 from both sides}\\\\-6x<-5-5x\qquad\text{add 5x to both sides}\\\\-x<-5\qquad\text{change the signs}\\\\x>5[/tex]

Answer:1 1/4+2 1/6+1 1/3+3=12.916_

12.916/93=.13888172 dollars an hour.

.13888172(h)=m

Step-by-step explanation:i converted to decimals but its still the same

Hannah worked for a total of 7 11/12 hours and earned $93. She charges approximately $12 per hour, so the equation for the amount she earns is m = 12H.

To find out how much Hannah charges per hour, we first need to find the total number of hours she worked. Adding up the hours given, Hannah worked 1 1/4 + 2 1/6 + 1 1/3 + 3 hours = 7 11/12 hours. Since Hannah earned $93 for these hours, we can set up the equation, m = 93 / (7 11/12), where m represents the money Hannah earns per hour, and H represents the total number of hours Hannah worked. Upon solving this equation, we find that Hannah charges approximately $12 per hour.

Therefore, the equation that can be used to determine the money Hannah earns from walking the dogs is m = 12H.

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Answer:

Actually it does relate to sin, cos and tan.

* tan50° = 16/b

=> b = 16/tan50° ≈ 13.426

* sin50° = 16/c

=> c = 16/sin50° ≈ 20.887

*cos∠B = 16/c = 16/20.887

=> m∠B ≈ 40.002

Answer:

C

Step-by-step explanation:

From the table we see that

[tex]f(-2)=12\\ \\f(-1)=10\\ \\f(0)=8\\ \\f(1)=6\\ \\f(2)=4[/tex]

Thus, the inverse function has the rule

[tex]f^{-1}(12)=-2\\ \\f^{-1}(10)=-1\\ \\f^{-1}(8)=0\\ \\f^{-1}(6)=1\\ \\f^{-1}(4)=2[/tex]

This gives us that ordered pairs

[tex](12,-2),\ (10,-1),\ (8,0),\ (6,1),\ (4,2)[/tex]

are on the graph of the inverse function

Answer:

it is c

Step-by-step explanation:

yep

the translation should make the equation

g(x)= (x+5)2

Answer:

b

Step-by-step explanation:

Answer:

7,366,327.50 pascals

Step-by-step explanation:

we know that

1 atm= 101,325 pascals

we have

72.7 am

Convert to pascals

72.7 atm=72.7*101,325=7,366,327.50 pascals

D is most likely right. Basically, I would turn them into decimals and divide using a graphing calculator.

Answer:

D

Step-by-step explanation:

Answer:

The best answer would be B. systematic random sampling

Step-by-step explanation:

The best sampling method for choosing a committee is Cluster Sampling.

Simple random sampling - Simple random sampling is a sort of probability sampling in which a researcher selects a subset of a population at random.

Systematic random sampling  A probability sampling approach in which a random sample of a bigger population is selected with a defined periodic interval.

Stratified random sampling A form of sampling known as stratified random sampling includes dividing a population into smaller sub-groups known as strata.

Cluster Sampling  The population is divided into groups first. Every member of some of the groupings is included in the total sample. The teams are chosen at random.

If we are trying to choose a committee, cluster sampling method would be the best as there should be representatives of every group of the society in that committee and the representative from each group should be chosen completely randomly.

Hence the cluster sampling method is the best way to choose a committee.

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Use trigonometry.

cos(18°) = x/25

Multiply both sides by 25.

cos(18°)25 = x

23.7764129074 = x

We round off to the nearest hundredth. This means to round off to two decimal places.

Doing so, we get 23,78 cm = x.

Answer: 150 degrees

Reason: Vertically opposite angles are similar

(When two straight lines form an X when crossing over one another, an angle and the angle on the opposite side of the X are the same)

The measure of angle 8 is 150 degrees.

Opposite angles are angles that are found opposite each other. They are formed when two lines intersect. The value of a pair of opposite angles is equal.

It is given that angle 5 is equal to 150 degrees.

The image is also provided.

We can see that angles 5 and 8 are opposite angles.

We know that opposite angles have equal measures.

This means that the measure of angle 8 is the same as angle 5.

The measure of angle 5 is 150 degrees. Therefore, the measure of angle 8 is also 150 degrees.

We have found that the measure of angle 8 is the same as angle 5 which is 150 degrees since they are opposite angles.

Therefore, we have found that the measure of angle 8 is 150 degrees.

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Answer:

Step-by-step explanation:

I'm sure you want your functions to appear as perfectly formed as possible so that others can help you.  f(x) = 4(2)x should be written with the " ^ " sign to denote exponentation:  f(x) = 4(2)^x

                                                                                      f(b) - f(a)

The formula for "average rate of change" is a.r.c. = --------------

                                                                                           b - a

                                    change in function value

This is equivalent to  ---------------------------------------

                                            change in x value

For Section A:  x changes from 1 to 2 and the function changes from 4(2)^1 to  4(2)^2:  8 to 16.  Thus, "change in function value" is 8 for a 1-unit change in x from 1 to 2.  Thus, in this Section, the a.r.c. is:

                 8

               ------ = 8 units    (Section A)

                  1

Section B:  x changes from 3 to 4, a net change of 1 unit:  f(x) changes from

4(2)^3 to 4(2)^4, or 32 to 256, a net change of 224 units.  Thus, the a.r.c. is

        224 units

      ----------------- = 224 units (Section B)

            1 unit

The a.r.c for Section B is 28 times greater than the a.r.c. for Section A.

This change in outcome is so great because the function f(x) is an exponential function; as x increases in unit steps, the function increases much faster (we say "exponentially").

Answer:

Part A: Section A- 8, Section B- 32.

Part B: 4 times.

Step-by-step explanation:

The function is given by .

Section A is from x = 1 to x = 2.

Now, f(1) = 4 × 2 = 8 and f(2) = 4 × 2 × 2 = 16

Again, section B is from x = 3 to x = 4.

Now, f(3) = 4 × 2 × 2 × 2 = 32 and f(4) = 4 × 2 × 2 × 2 × 2 = 64

Part A:

In section A, the average rate of change is =  8

And in section B, the average rate of change is  =  32

Part B:

Therefore, the average rate of change of section B is greater than section A is (32 / 8 = 4)

Answer:

[tex]\frac{1}{8}[/tex]

Step-by-step explanation:

In calculating probability, remember that "AND" means "MULTIPLICATION" and "OR" means "ADDITION".

Since we want the probability of red necklace AND yellow bracelet, we calculate individual probabilities and "MULTIPLY" them.

Probability of red necklace:

There are 4 necklaces and 1 of them is red, hence probability of red necklace is 1/4

Probability of Yellow bracelet:

There are 2 bracelet and 1 of them is yellow, hence probability of yellow bracelet is 1/2

Now, we multiply both to get our answer.

1/4 * 1/2 = 1/8

Answer:

1/8

Step-by-step explanation:

Answer:

The area is

[tex]A=254.34\ in^2[/tex]

Step-by-step explanation:

The circumference of a circle is given by a following formula:

[tex]C = 2\pi r[/tex]

Where r is the radius of the circumference.

In this case we know that

[tex]C = 2\pi r=56.52\ in[/tex]

We solve the equation for r

[tex]C = 2\pi r=56.52\ in[/tex]

[tex]2\pi r=56.52\\\\r=\frac{56.52}{2\pi}\\\\r=9\ in[/tex]

The area of a circumference is given by the following formula

[tex]A=\pi r^2[/tex]

Now we substitute the value of r in the equation to find the area

[tex]A=\pi (9)^2[/tex]

[tex]A=3.14* (9)^2[/tex]

[tex]A=254.34\ in^2[/tex]

It’s c

Step-by-step explanation:

I did it

Answer:

It's C

Step-by-step explanation:

So I went to Brainly to get answers too but I couldn't find any. I guessed and got it right on edge2022

For this case we have the following functions:

[tex]f (x) = 2x ^ 2-18\\g (x) = - 3x-7[/tex]

We must find:

[tex](f-g) (2)[/tex]

By definition, we have to:

[tex](f-g) (x) = f (x) -g (x)[/tex]

So:

[tex](f-g) (x) = 2x ^ 2-18 - (- 3x-7)\\(f-g) (x) = 2x ^ 2-18 + 3x + 7\\(f-g) (x) = 2x ^ 2 + 3x-11[/tex]

Then, we evaluate in x = 2:

[tex](f-g) (2) = 2 (2) ^ 2 + 3 (2) -11\\(f-g) (2) = 2 (4) + 6-11\\(f-g) (2) = 8 + 6-11\\(f-g) (2) = 8 + 6-11\\(f-g) (2) = 3[/tex]

ANswer:

[tex](f-g) (2) = 3[/tex]

Answer: c) (11,-2)

Step-by-step explanation:

The formula for calculate a midpoint is:

[tex]M=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]

You know that R is the midpoint of segment PS and P is located at (8,10), and S is located at (12,-6). Then you can substitute these coordinates into the formula to find the coordinates of the midpoint R:

 [tex]M_{R}=(\frac{12+8}{2}, \frac{10+(-6)}{2})=(10,2)[/tex]

Now, knowing the coordinates of R and S, you can substitute them into the formula to find the coordinates of the midpoint Q of segment RS. Then:

[tex]M_{Q}=(\frac{10+12}{2}, \frac{2+(-6)}{2})=(11,-2)[/tex]

The option c is correct. The final coordinates of Q are (11, -2).

To find the coordinates of Q, we need to follow a step-by-step process, starting from the given points of P and S.

Step 1: Find the coordinates of R

R is the midpoint of segment PS. Given P(8,10) and S(12,-6), the midpoint formula is:

Midpoint formula: ((x1 + x2)/2, (y1 + y2)/2)

So, [tex]R = ((8 + 12)\div2, (10 + (-6))\div2) = (20\div2, 4\div2) = (10, 2)[/tex]

Step 2: Find the coordinates of Q

Q is the midpoint of segment RS. Given R(10,2) and S(12,-6), we apply the midpoint formula again:

[tex]Q = ((10 + 12)\div2, (2 + (-6))\div2) = (22\div2, -4\div2) = (11, -2)[/tex]

Final Coordinates:

Thus, the coordinates of Q are (11, -2). The correct answer is: (c) (11,-2)

Answer:

B. 2x + y -8 = 0

Step-by-step explanation:

2x + y -8 = 0

2x - 8 = -y

Divide both sides by negative one

-2x + 8 = y

Answer:

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept

We have the slope m = -2 and the y-intercept b = 8. Substitute:

[tex]y=-2x+8[/tex]

The general form of an equation of a line:

[tex]Ax+By+C=0[/tex]

Convert:

[tex]y=-2x+8[/tex]              add 2x to both sides

[tex]2x+y=8[/tex]              subtract 8 from both sides

[tex]2x+y-8=0[/tex]

Answer:

31.41ft

Step-by-step explanation:

the area A of a circle is πr² = 78.5 square feet

3.1416* r² = 78.5

r² =78.5/3.1416 =  24.987

r = √24.987 = 4.999ft

the circumference C of a circle is 2πr

C = 2* 3.1416 * 4.999 = 31.41ft

Answer:

88 inches

Step-by-step explanation:

Diameter is 2 times the radius (r) so divided 28 by 2 to get 14 as the radius.

Plug this in:

2π14

28π

87.964

88

The answer is 88 btw