Look at pic and answer pls

Look At Pic And Answer Pls

Answers

Answer 1

(a)  [tex]x^{-5}[/tex]

(b)  [tex]3x^{-7}[/tex]

(c)  [tex]$\frac{4}{3}x^4[/tex]

Solution:

To write each of the given expression in the form [tex]ax^n[/tex]:

(a)  [tex]\frac{x^3}{x^8}[/tex]

Using exponential rule: [tex]\frac{a^x}{a^y}=a^{x-y}[/tex]

[tex]$\frac{x^3}{x^8}=x^{3-8}[/tex]

[tex]$\frac{x^3}{x^8}=x^{-5}[/tex]

(b) [tex]\frac{6x}{2x^8}[/tex]

Divide numerator and denominator by the common factor 2, we get

[tex]$\frac{6x}{2x^8}=\frac{3x}{x^8}[/tex]

Using exponential rule: [tex]\frac{a^x}{a^y}=a^{x-y}[/tex]

      [tex]$=3x^{1-8}[/tex]

[tex]$\frac{6x}{2x^8} =3x^{-7}[/tex]

(c)  [tex]\frac{28x^6}{21x^2}[/tex]

Divide numerator and denominator by the common factor 7, we get

[tex]$\frac{28x^6}{21x^2}=\frac{4x^6}{3x^2}[/tex]

Using exponential rule: [tex]\frac{a^x}{a^y}=a^{x-y}[/tex]

        [tex]$=\frac{4}{3}x^{6-2}[/tex]

[tex]$\frac{28x^6}{21x^2}=\frac{4}{3}x^4[/tex]


Related Questions

At noodles & company restaurant, the probability that a customer will order a nonalcoholic beverage is .48. Find the probability that in a sample of 12 customers, none of the 12 will order a nonalcoholic beverage.

Answers

Final answer:

The probability that in a sample of 12 customers at Noodles & Company restaurant, none of them will order a nonalcoholic beverage is 0.020211.

Explanation:

In this question, we are given that the probability that a customer will order a nonalcoholic beverage at Noodles & Company restaurant is 0.48. We are asked to find the probability that in a sample of 12 customers, none of them will order a nonalcoholic beverage.



To find the probability that none of the 12 customers will order a nonalcoholic beverage, we can use the concept of independent events and the multiplication rule of probability.



The probability that a customer will order a nonalcoholic beverage is 0.48, so the probability that a customer will not order a nonalcoholic beverage is 1 - 0.48 = 0.52. Since each customer's decision is independent, the probability that none of the 12 customers will order a nonalcoholic beverage is (0.52)^12 = 0.020211.

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it’s take 4 minutes to fill an empty aquarium to a depth of 2/5 meters. what is the unit rate in minutes per meter?

Answers

Final answer:

The unit rate is calculated by dividing the total quantity by the total number of units. In this case, it takes 4 minutes to fill the aquarium to a depth of 2/5 meters. So, the unit rate for filling the aquarium is 10 minutes per meter.

Explanation:

To calculate the unit rate, you divide the total quantity by the total number of units. In this case, it takes 4 minutes to fill the aquarium to a depth of 2/5 meters. So, for the unit rate in minutes per meter, you would set up the division as follows:

4 minutes / (2/5) meters

When you divide 4 by 2/5, you actually multiply 4 by the reciprocal of 2/5, which is 5/2.

So, 4 * (5/2) = 10

Therefore, the unit rate for filling the aquarium is 10 minutes per meter.

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Find the slope of the curve y=-3x-x^2 at the point (-1,2)

Answers

Answer:

slope = - 1

Step-by-step explanation:

The slope of the curve m is measured by

m = [tex]\frac{dy}{dx}[/tex] at x = a

Differentiate using the power rule

[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex]

Given

y = - 3x - x², then

[tex]\frac{dy}{dx}[/tex] = - 3 - 2x

x = - 1 → [tex]\frac{dy}{dx}[/tex] = - 3 - 2(- 1) = - 3 + 2 = - 1 ← slope at (- 1, 2 )

What is the value of x in 2x+8+3x+5=123

Answers

Answer:

5x + 13 = 123

     - 13   - 13

5x = 110

5x/5 = 110/5

x = 22

Help. I can’t figure this out.

Answers

Answer:

5

Step-by-step explanation:

The median is 5. Cross off the dots on both sides one by one until you reach the center.

A rectangular garden has an area of 52 square yards. If we multiply its length and width by 15, what is the area of the new rectangle?

Answers

Answer:

i think its 11,700

Step-by-step explanation:

Answer:

11,700

Step-by-step explanation:

When trying to find the new area, you take you 2 numbers, 52 and 15, square the 15,  then multiply them

52 x 15^2 = 11,700

If the point (2,4 is rotated 90 degrees clockwise what is the location of the new point

Answers

Answer:

Therefore the new coordinate of the point is (2,-4)

Step-by-step explanation:

A point (2,4) is rotated [tex]90^\circ[/tex] clockwise .

The point (2,4) lies on the first coordinate.If the point rotated [tex]90^\circ[/tex]clockwise direction It will be go fourth coordinate.

Therefore the new coordinate of the point is (2,-4)

hi guys I am dumb so can you guys help

Answers

Answer:

study more that should help you out

Step-by-step explanation:

study more

Answer:

try to study

Step-by-step explanation:

the measure of two supplementary angles have a ratio of 5:4 what is the measure of the large angle?​

Answers

Answer:

  100°

Step-by-step explanation:

The larger one is 5/(5+4) = 5/9 of the total, so is ...

  5/9 × 180° = 100°

The measure of the larger angle is 100°.

187 is the product of -17 and m .​

Answers

Answer:m=-11

Step-by-step explanation:

You find the answer by dividing 187 by -17.

The value for m is -11

What is the BODMAS rule?

According to the BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. Solving any expression is considered correct only if the BODMAS rule or the PEMDAS rule is followed to solve it.

Given here: -17m=187

Thus simplifying we get m= 187/-17

                                            = -11

Hence, The value for m is -11

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6. The measures of the three angles of a triangle
are (3x), (x - 15)° and (2x + 15). What is the
measure of the angle with the greatest measure?

Answers

90

3x+x-15+2x+15=180
6x=180
Divide each side by 6
X= 30

Now go back to each angle and substitute 30 for x

(3 x 30)= 90
(30-15)= 15
(2(30)+15)=75

The store buys a keyboard for $35 and sells it for $61.25. What percentage was the markup?

Answers

answer: it’s a 75% markup

Simplify the expression 54. (1 point)
A. 20
B. 1,024
C. 125
D. 625

Answers

Final answer:

To simplify the expression 54, divide it by 2 and 3 to get the simplified result of 9.

Explanation:

To simplify the expression 54, you need to consider the properties of the number 54. First, note that 54 is divisible by 2. Next, check if it is also divisible by 3. If it is, continue dividing by 3 until you can no longer do so. In this case, 54 is divisible by both 2 and 3, so you can simplify it as follows:

Divide 54 by 2: 54 ÷ 2 = 27Divide 27 by 3: 27 ÷ 3 = 9

Therefore, the simplified expression 54 is equal to 9. So, the correct answer is A. 20.

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How many solutions does this equation have?

(15x + 21)
3
= 5x + 7

Answers

Your equation is unclear. Do you mean the following:

(15x+21)/3=5x+7 or 3(15x+21)=5x+7

If the left equation is the correct one, the left side simplifies to 5x+7=5x+7, which must mean all real numbers are correct solutions. Thus, it has infinite real solutions.

Final answer:

The equation (15x + 21)³ = 5x + 7 is a cubic equation. The number of solutions can be 0, 1, 2, or 3 solutions.

Explanation:

The equation is (15x + 21)³ = 5x + 7. To determine the number of solutions, we need to simplify and solve the equation.
Step 1: Expand the equation using the binomial theorem. This gives us: 3375x³ + 14175x² + 19305x + 9261 = 5x + 7.
Step 2: Combine like terms on both sides of the equation. This results in: 3375x³ + 14175x² + 19305x + 9254 = 0.
Step 3: This is a cubic equation. Cubic equations can have 3 solutions at most. However, it is not guaranteed that this equation will have 3 solutions. It can have fewer solutions or even no real solutions.
Therefore, the number of solutions for this equation is either 0, 1, 2, or 3 solutions. Further analysis or calculations may be needed to determine the exact number of solutions.

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If a 45 degree 45 degree 90 degree triangle has a hypotenuse length of 12 find the leg length

Answers

Answer:

Leg length = 8.5

Step-by-step explanation:

let x represent the leg length

if we use the Pythagorean theorem we get:

x² + x² = 12²

then

2x² = 12²

Then

x² = 144/2 = 72

then

x = √(72)

 =8,485281374239

Ben paid $86 for 40 gallons of gas. How much would 15 gallons cost?

Answers

Ben would pay $32.25 for 15 gallons of gas. First you have to divide 86 by 40 so you can get the price per gallon which is $2.15. Then you just multiply $2.15 times 15 gallons and you get $32.25.

Write the equation of the line that passes through the given points (0,-3) and (-15,-5)

Answers

Answer:

y=2/15x-3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-5-(-3))/(-15-0)

m=(-5+3)/-15

m=-2/-15

m=2/15

y-y1=m(x-x1)

y-(-3)=2/15(x-0)

y+3=2/15(x)

y+3=2/15x

y=2/15x-3

What is 23 % changed into a fraction

Answers

23% as a fraction would be 23/100

Answer:

23/100

Step-by-step explanation:

Any percent is out of 100, so you can just say 23/100. This works for any percentage but you can still simplify it. 23/100 is already in its simplest form so you can not simplify it any more. 23% in decimal form is 0.23.

Find the nth term in the geometric sequence 12, -3, 3/4

Answers

Answer:

12 (-0.25)ⁿ

Step-by-step explanation:

recall that the general form for each term in the geometric progression is

arⁿ

such that the geometric progression looks something like.

ar⁰, ar¹, ar², ar³, ....., arⁿ, ......

also note that r⁰ = 1, hence ar⁰ is simply a

hence the G.P can be written

a, ar, ar², ar³, ....., arⁿ, ......  

also note that r can be obtained by simply dividing the 2nd term with the 1stterm. i.e

r = ar ÷ a

now we are given the first 3 terms in the GP as

12, -3, 3/4, ....

comparing with the GP in the previous paragraph, we can see that ,

a = first term = 12

also

r = 2nd term ÷ 1st term

= -3 ÷ 12

= -0.25

hence the nth term

= arⁿ

= 12 (-0.25)ⁿ

Hey scientist has it the amount of rainfall during the afternoon is around 0.43 minutes and each hour what was the total amount of rain fall in three hours

Answers

Answer:

1.29 minutes

Step-by-step explanation:

The scientist has a record of the amount of rainfall during the afternoon as around 0.43 minutes in each hours.

Now, we have to calculate the total amount of rainfall in three hours.

As the each hour rainfall is of 0.43 minutes, so the total rainfall in three hours will be (0.43 × 3) = 1.29 minutes. (Answer)

simlify the the expression using bedmas. 3 over 2 of 9 over 7

Answers

Step-by-step explanation:

[tex] (\frac{3}{2} ) \frac{9}{7} = \frac{3}{2} \times \frac{9}{7} = \frac{27}{14} \\ [/tex]

Answer:

it means 3/2 of 9/7

Step-by-step explanation:

those are fractions

If the temperature was 45°F at 9am, what was the temperature at 6pm

Answers

Answer: 35 F

Step-by-step explanation:

night time

Answer: 35 F because it is night time so the temperature will go down

given that tan^2 0=3/8, what is the value of sec 0?

Answers

The value of [tex]\sec\theta =\pm\sqrt{\frac{11}{8}}[/tex].

Solution:

Given data:

[tex]$\tan^2\theta=\frac{3}{8}[/tex]

To find the value of [tex]\sec\theta:[/tex]

Using trigonometric identity,

[tex]\sec^2\theta=1+\tan^2\theta[/tex]

Substitute [tex]\tan^2\theta=\frac{3}{8}[/tex] in the identity, we get

[tex]$\Rightarrow \sec^2\theta=1+\frac{3}{8}[/tex]

1 can be written as [tex]\frac{1}{1}[/tex].

             [tex]$ =\frac{1}{1} +\frac{3}{8}[/tex]

Do cross multiplication.

            [tex]$ =\frac{8}{8} +\frac{3}{8}[/tex]

Denominators are same, so you can add the fractions.

            [tex]$ =\frac{8+3}{8}[/tex]

[tex]$\Rightarrow \sec^2\theta =\frac{11}{8}[/tex]

Taking square root on both sides, we get

[tex]$\Rightarrow \sec\theta =\pm\sqrt{\frac{11}{8}}[/tex]

Option B is the correct answer.

Hence the value of [tex]\sec\theta =\pm\sqrt{\frac{11}{8}}[/tex].

6000(1-(1+0.06)‐³²)/0.06(1+0.06)​

Answers

Answer:

79716.98

Step-by-step explanation:

Solve for the variable in each equation

Answers

Answer:

Step-by-step explanation:

Find the area of a triangle with base 13 inches and height 2 inches.

Answers

the answer is 13. ❤️ hope it helped

A total of 216 people bought tickets for the matinee and night showing of the school play. Students bought
of the tickets foi
the matinee, while g of the night show's tickets were sold to students. If there were a total of 118 tickets sold to students,
which system of equations can be used to determine the total number of tickets sold for the matinee, x, and for the night
showing y?
© x+y= 216 and < x+y=118
x+y = 118 and ž x+2y=216
x+y = 218 and x+ žy - 118
x+y = 118 and ģx+ Ży-118

Answers

the answer is A

Step-by-step explanation:

Answer:

A. x + y = 216 and Two-thirds x + StartFraction 4 Over 9 EndFraction y = 118.  ☁︎✮

Step-by-step explanation:

I require assistant one final time ​

Answers

Answer:

No, the expressions are NOT equivalent.

Step-by-step explanation:

Solve each:

11t - 4t

(11 × 2) - (4 × 2)

22 - 8

= 14

4t - 11t

(4 × 2) - (11 × 2)

8 - 22

= -14

14 is NOT equivalent to -14

Is 3/8 smaller than 11/12

Answers

Answer:

3/8 is smaller than 11/12

Step-by-step explanation:

3/8 is equal to 0.375 and 11/12 is equal to 0.91, which makes 3/8 a smaller number and 11/12 a bigger number.

Seventy people attended a concert. A general admission ticket is $4.75 and a student is $3.25 . If the box office collected $272.50 ,how many general admissions and how many student tickets were sold.

Answers

Answer:

Step-by-step explanation:

Let g = amount of general admission tickets

Let s = amount of student tickets

Since seventy people attended the concert, this includes the people who bought general admission tickets and the people who bought the student tickets. As a result, g + s = 70. A student ticket is $3.25, so it would be 3.25s and a general admission ticket is $4.75, so it would be 4.75g. Since there was $272.50 collected in all, the second equation would be 3.25s + 4.75g = 272. 50.

g + s = 70

4.75g + 3.25s = 272.50

Multiply the first equation by 3.25 (or 4.75) so that you can use elimination to get rid of one variable.

3.25g + 3.25s = 227.50

4.75g + 3.25s = 272.50

Now, you subtract so that you can eliminate s.

-1.50g = -45

g = 30

This means that there are 30 general admission tickets. Now, you substitute 30 in for g to find s.

30 + s = 75

Subtract 30 from both sides.

s = 45

This means that there are 30 general admission tickets and 45 student tickets.

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