I kind of don’t get this could someone explain and answer this question I would really appreciate :)

Answer:

The answer is a^n+2n+8a^2n-a^2n-14a^n-48.

Step-by-step explanation:

1. Use the distributive property.

2. Remove the parenthesis.

3. Collect like terms.

Hope this helps and if you could mark me as brainliest. Thanks!

The factored form of  (a²ⁿ - aⁿ - 6) is divided by (aⁿ + 8) is

(a²ⁿ - aⁿ - 6) = (aⁿ + 7)(aⁿ + 8) - 62/(aⁿ + 8).

We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.

To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.

Given, (a²ⁿ - aⁿ - 6) is divided by (aⁿ + 8).

In case of long division in the quotient well multiply the first term of the divisor 'aⁿ' with such a number that it becomes equal to the first term of the dividend, Now aⁿ×aⁿ is a²ⁿ.

∴  (a²ⁿ - aⁿ - 6)/(aⁿ + 8) is,

(a²ⁿ - aⁿ - 6) = (aⁿ + 7)(aⁿ + 8) - 62/(aⁿ + 8).

learn more about long division here :

https://brainly.com/question/28824872

#SPJ2

Answer:

3=15

4=20

5=25

Step-by-step explanation:

bold are the answers

Answer:

x=72

Step-by-step explanation:

1.2x−2.4=84

Step 1: Add 2.4 to both sides.

1.2x−2.4+2.4=84+2.4

1.2x=86.4

Step 2: Divide both sides by 1.2.

x=72

Answer: x=72

Step-by-step explanation:

Answer:

The ramp should be 32.9 feet longer.

Step-by-step explanation:

When the ramp is at [tex]6^{o}[/tex] to the ground, its length can be determined by applying the appropriate trigonometric function. Let the length be represented by l, so that;

Sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]

Sin [tex]6^{o}[/tex] = [tex]\frac{3.45}{l}[/tex]

l = [tex]\frac{3.45}{Sin 6^{o} }[/tex]

 = [tex]\frac{3.45}{0.10453}[/tex]

 = 33.0048

l = 33.0 feet

When the angle is reduced to [tex]3^{o}[/tex], the length of the ramp would be;

Sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]

Sin [tex]3^{o}[/tex] = [tex]\frac{3.45}{l}[/tex]

l = [tex]\frac{3.45}{Sin 3^{o} }[/tex]

 = [tex]\frac{3.45}{0.05234}[/tex]

= 65.9152

l = 65.9 feet

Change in length of ramp = 65.9 - 33.0

                            = 32.9

The ramp should be 32.9 feet longer.

The black hole shown in the photograph depicts the buried black hole that looks like a doughnut. Thus option B is correct.

A black hole is a  region of space that has a strong gravity whre nothing even light can eascepe its presence and acts as a black body that relfect no light.

The balck hole gravitational field are so strong that light canot eaxep this was forst consode by John michale. The black hole cannot be seen without X rays as they form a bright spot aroiund the black hole.

Find out more information about the black hole.

brainly.com/question/15620028

Given:

Two points are (6, 7) and I(-7,-6).

Point G lies [tex]\dfrac{1}{2}[/tex] of the way along Hl.

John says that point G is located at the origin.

To find:

Whether John is correct or not.

Solution:

Point G lies [tex]\dfrac{1}{2}[/tex] of the way along Hl. I means point G is the midpoint of HI.

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

[tex]G=\left(\dfrac{6-7}{2},\dfrac{7-6}{2}\right)[/tex]

[tex]G=\left(\dfrac{-1}{2},\dfrac{1}{2}\right)[/tex]

The location of point G is at [tex]\left(\dfrac{-1}{2},\dfrac{1}{2}\right)[/tex], which is not equal to origin, i.e., (0,0).

Therefore, John is incorrect.

Answer:

i can't understant the question

Step-by-step explanation:

Answer:

2⁵

Step-by-step explanation:

Given:

Number 96

Computation:

96 = 2 x 2 x 2 x 2 x 2 x 3

96 = 2⁵ x 3  

So, Number 2 repeat 5 times

Answer:

Next 3 terms: 17, -31, 65

3 terms before -7: 2, -1, 5

Step-by-step explanation:

Fourth term in the sequence = -7

Rule for finding the next term:

[tex]a_n=-2\times a_{n-1}+3[/tex]

Therefore, the fifth term:

[tex]a_5=-2\times a_4+3\\\Rightarrow a_5=-2\times -7+3\\\Rightarrow \bold{a_5=17}[/tex]

Sixth term:

[tex]a_6=-2\times a_5+3\\\Rightarrow a_6=-2\times 17+3\\\Rightarrow \bold{a_6=-31}[/tex]

Seventh term:

[tex]a_7=-2\times a_6+3\\\Rightarrow a_7=-2\times -31+3\\\Rightarrow \bold{a_7=65}[/tex]

Let the three terms that came before -7 be: [tex]x, y, z[/tex]

As per question statement:

[tex]a_n=-2\times a_{n-1}+3[/tex]

[tex]-7 = -2\times z+3\\\Rightarrow -2z=-10\\\Rightarrow z=5[/tex]

Again applying the given rule:

[tex]5 = -2\times y+3\\\Rightarrow y =-1[/tex]

Again applying the given rule:

[tex]-1 = -2\times x+3\\\Rightarrow x =2[/tex]

Therefore the 3 terms before -7 are:

2, -1, 5

Answer:

standard form: Ax + By = C

Slope-intercept form: y=mx+b

where m is the slope and b is the y intercept.

first lets put this into intercept form:

y=-5x+b

(4, 0) is the x intercept.)

To find what b is plug in the point 4, 0 for the x and y of the equation:

0=-5(4)+b

0=-20+b

20=b

b=20

Now that we have the slope, m, and the y intercept, b, we can make our equation

y=-5x+20

Now we need to transform this equation into standard form like so:

y=-5x+20

5x+y=20 - this is your answer

Step-by-step explanation:

Answer:

I think that there should be 320 tagged deer in the population

A ratio shows us the number of times a number contains another number. The total population of the deer after a month was 1320.

A ratio shows us the number of times a number contains another number.

When the deer were recaptured 10 out of the 40 deers were tagged therefore, the ratio of the tagged deers to the total population of the deers is 10/40. Thus, we can write the total population of the deer as,

[tex]\dfrac{\text{Tagged Population}}{\text{Total Population}} = \dfrac{10}{40}\\\\\\\dfrac{330}{\text{Total Population}} = \dfrac{10}{40}\\\\\\\text{Total Population} = \dfrac{330 \times 40}{10} = 1320[/tex]

Thus, the total population of the deer after a month was 1320.

Learn more about Ratios:

https://brainly.com/question/1504221

Answer:

x can be divided by 2,3,4,5,6

2 can be divided by 4, so is 3 to 6

so simply x can be divided by 4,5,6

4*5*6=120

Step-by-step explanation:

Answer:

Step-by-step explanation:

hi

Answer:

B

Step-by-step explanation:

Answer:

the second one(20)

Step-by-step explanation:

If you pretend 20 is x, you solve the equation by pluging in x (20) into the equation and it gives you 70, 70 is what the big part is and 70+20 is 90, which is the size of a 90degree side.

4(20)-10

80-10

70

70+20=90

Answer: The answer to this question is 20 degrees

Step-by-step explanation:

So, you know that it's a straight line, which is 180 degrees. The angle on the very left is 90 degrees because it's a right angle.

So that means (x + 10) + x = 90 degrees because 180 - 90 = 90

Solve that equation for x:

x + 4x - 10 = 90

5x = 100

x = 20

So, your final answer is 20 degrees

Answer:

question is incomplete . to find x value thaf must be a equation but its a simple algebric expression only so inappropriate question

Awnser:

x2+2x−8=0

2cos(x)−1=0

cos(x)=−cos(x)+√3

Step-by-step explanation:

hope that helped

Answer:

Step-by-step explanation:

SOH - CAH - TOA

Since the opposite side is given and we need to find the length of the adjacent side, we can use tangent to solve for x.

[tex]tan 21=\frac{opposite}{adjacent} \\tan 21 =\frac{8}{x} \\0.384 =\frac{8}{x} \\0.384x =8 \\x=\frac{8}{0.384} \\x=20.84[/tex]

Since the opposite side is given and we need to find the length of the hypotenuse, we can use sine to solve for y.

[tex]sin 21=\frac{opposite}{hypotenuse} \\sin21 =\frac{8}{y} \\0.358 =\frac{8}{y} \\0.358y=8 \\y=\frac{8}{0.358} \\y=22.32[/tex]

Answer:

x = 7, y = -2

Step-by-step explanation:

hey i assume those are two different equations

(x + 3y = 1) 3

-3x - 3y = -15

3x  + 9y =  3

add both equations in elimination method

6y = -12, y = -2

x + 3(-2) = 1

x + -6 = 1, x = 7

Answer:

10 kits

Step-by-step explanation:

Because the price of one kit is $3.45 (pencil, pen, eraser, and a notebook). You can get 10 kits for $34.50. 11 kits would be over the amount she would be willing to pay for the kits.

Hope this is helpful, to you have a gret day! Brainliest would be awesome.

Answer:

(A) the subtraction property of equality

Step-by-step explanation:

Given

The steps in the question

Require

Justify step 2 to 3

Write out step 2:

[tex]-4x+9 = 2x+10[/tex]

Apply subtraction property by subtracting 2x from both sides

[tex]-4x-2x+9 = 2x-2x+10[/tex]

[tex]-6x+9 = 10[/tex]

Notice that the above equation is represented in step 3.

Hence, option A answers the question.

A. the subtraction property of equality

Answer:

[tex]\displaystyle T_6=\frac{448}{729} f^2t^6[/tex]

Step-by-step explanation:

Binomial Theorem

Any power of x + y can be expanded into a sum of the form:

[tex]\displaystyle (x+y)^{n}={n \choose 0}x^{n}y^{0}+{n \choose 1}x^{n-1}y^{1}+{n \choose 2}x^{n-2}y^{2}+\cdots +{n \choose n-1}x^{1}y^{n-1}+{n \choose n}x^{0}y^{n}[/tex]

For any given term k, counted from 0 to n:

[tex]\displaystyle T_k={n \choose k}x^{n-k}y^{k}[/tex]

Note if we have to find the 7th term, we have to use k=6. The expression is:

[tex]\displaystyle \left(4f+\frac{t}{3}\right)^8[/tex]

For n=8, x=4f, y=t/3, k=6:

[tex]\displaystyle T_6={8 \choose 6}(4f)^{8-6}\left (\frac{t}{3} \right )^{6}[/tex]

[tex]\displaystyle T_6={8 \choose 6}(4f)^{2}\left (\frac{t}{3} \right )^{6}[/tex]

[tex]\displaystyle T_6={8 \choose 6}16f^2\frac{t^6}{3^6}[/tex]

Calculate:

[tex]\displaystyle {8 \choose 6}=\frac{8!}{2!\cdot 6!}=28[/tex]

Thus:

[tex]\displaystyle T_6=28\cdot 16f^2\frac{t^6}{729}[/tex]

Simplifying, the 7th term is:

[tex]\mathbf{\displaystyle T_6=\frac{448}{729} f^2t^6}[/tex]

Answer:

40%

Step-by-step explanation:

Answer: 40%

Step-by-step explanation: if you add all the students answers you get 30

then take the strawberry students that is 12 divide it 12/30 and you get .4 then multiply by 100 and you get 40%

Answer:

15/2

Step-by-step explanation:

The probability of each outcome in the sample space is 1/20

"It is finding out the possibilities of the occurrence of an event."

"P(A) = n(A) / n(S)

where, n(A) is the number of favorable outcomes of an event A

n(S) is the total number of outcomes for an experiment"

For given example,

Total number of students:

n(S) = 5

The probability of selecting one student would be,

P(A) = 1/5

Now, there are 4 students.

n(S) = 4

So, probability of selecting second student from remaining 4.

P(B) = 1/4

Hence, the probability of each outcome in the sample space would be,

1/5 × 1/4  = 1/20

Therefore, the probability of each outcome in the sample space is 1/20

Learn more about the probability here:

brainly.com/question/11234923

#SPJ2

Answer:

The average speed of the car is 90 km/h

Step-by-step explanation:

The rule of the distance id D = v × t, where

∵ A car can travel 450 km in the same time it takes a train to travel

   350 km

→ That means the time of them are equals

∴ Time of the car = Time of the train

→ From the rule above t = [tex]\frac{D}{v}[/tex]

∵ D(car) = 450 km and D(train) = 350 km

∵ The car's average speed is 20 km/h faster than the average speed

   of the train

→ Assume that the average speed of the train is x km/h

∴ v(train) = x km/h and v(car) = (x + 20) km/h

→ Use the rule of the time above to find the time of each one

∵ t(car) = [tex]\frac{450}{(x+20)}[/tex]

∵ t(train) = [tex]\frac{350}{x}[/tex]

∵ t(car) = t(train)

∴ [tex]\frac{450}{(x+20)}[/tex] =  [tex]\frac{350}{x}[/tex]

→ By using cross multiplication

∵ 450 × x = 350 × (x + 20)

∴ 450x = 350(x) + 350(20)

∴ 450x = 350x + 7000

→ Subtract 350x from both sides

∴ 100x = 7000

→ Divide both sides by 100 to find x

∴ x = 70

∵ x represents the average speed of the train

∴ The average speed of the train = 70 km/h

∵ The average speed of the car = x + 20

∴ The average speed of the car = 70 + 20

∴ The average speed of the car = 90 km/h

Answer:

The alternate exterior angles 2 and 7 are congruent. One way to prove this is through the corresponding angles, vertical angles, and the transitive property.

First, we know <2 and <6 are congruent because of corresponding angles. Then we know they are equal because of the definition of congruent.

Next, we know <6 is congruent to <7 because of vertical angles. Then, we know they are equal because of the definition of congruent.

Finally, we know <2 is equal to <7 because of the transitive property.

Answer:

Here's the sample response!!

Step-by-step explanation:

Because vertical angles are congruent, angles 1 and 4 are congruent. Because corresponding angles are congruent, angles 4 and 8 are congruent. Because angle 4 is congruent to both 1 and 8, angle 1 is congruent to angle 8.

Answer:

For any equation X€R But here is Nothing like it.

Step-by-step explanation:

0 = -x^-4 is wrong to say.

Answer:

The answer is 15/19

Step-by-step explanation:

Both 60 and 76 are divisible by 4:

60/4 = 15 and 76/4 = 19

Final answer; 15/19

Answer: it has no solutions

Step-by-step explanation:

Factor then solve to find the complex solutions.