Mathematics Middle School

Simplify.

43 · 44 / 49

A) 4^16

B) 4^2

C) 1/4^2

D) 1/4

Answers

Answer 1
i believe it should be  c 1/4^2
Answer 2

Answer: The correct option is C.

Explanation:

The given expression is,

[tex]\frac{4^3.4^4}{4^9}[/tex]

Using the exponent rule [tex]a^m.a^n=a^{m+n}[/tex] , we get,

[tex]\frac{4^{3+4}}{4^9}[/tex]

[tex]\frac{4^{7}}{4^9}[/tex]

Using the exponent rule [tex]\frac{a^m}{a^n}=a^{m-n}[/tex] , we get,

[tex]{4^{7-9}}[/tex]

[tex]4^{-2}[/tex]

Using the exponent rule [tex]\frac{1}{a^n}=a^{-n}[/tex] , we get,

[tex]4^{-2}}=\frac{1}{4^2}[/tex]

Therefore, the option C is correct.

Related Questions

if a soccer team won 7 of its 13 games, what was their ratio of wins to losses? Assume that there were no tie games.

Answers

There were 13 games.
7 were wins.
13 - 7 = 6
6 were losses.
The ratio of wins to losses is 7:6.

welp aight calm down now but da answer is 7:6

You have a circle that depicts the Equator of the earth saw from top (From the Artic Polar Circle). Knowing that the Equator is in 0º of latitude, the Tropic of Cancer in 23º of latitude, and the diameter of the circle that depicts the equator is 4 cm, how can i mesure in the same scale WHERE is the tropic of cancer?

Answers

You can use the latitude to find the tropic of Cancer.

Answer:

what's the answer pls help me.

Step-by-step explanation:

what is the price of a remote control helicopter is $34.40. A remote control boat cost 4/5 the price of the helicopter. Sales tax on the remote control boat is 8%. What is the price of the remote control boat, including sales tax? Round your answer to the nearest penny

Answers

The answer rounded would be 29.94
First, let’s multiply 34.4 to get 1% of that price.
34.4 x 0.01 = 0.344
Then, let’s multiply that 1% by 80 to get the price of the remote controlled boat, since it’s 4/5 the price of the helicopter.
0.344 x 80 = 27.52
$27.52 is the regular price of the boat.
Now, let’s find the 8% of that price. We’ll first first 1% and then multiply our answer by 8 to get 8%.
27.52 x 0.01 = 0.2752
0.2752 x 8 = 2.2016
Sales tax will be $2.20
The total will add the sales tax to the regular total of the boat.
$27.52 + $2.20 = $29.72
$29.72 is your answer.

Hope that helped! :)

write the equation of a line that is perpendicular to the line 5x-3y=12 and passes through point (3,1)

I know that the answer is y=-3/5x+14/5

Answers

–4x – 3y = 6
and/or
m = 3/4
Hope this helps! :)

Final answer:

To find the equation of a line that is perpendicular to 5x-3y=12 and passes through (3,1), we first identify the slope of the given line, find the negative reciprocal to determine the perpendicular slope, and then use the point-slope form to derive the equation, resulting in y = -3/5x + 14/5.

Explanation:

The question asks us to write the equation of a line that is perpendicular to the given line 5x-3y=12 and passes through the point (3,1). Perpendicular lines have slopes that are negative reciprocals of each other. First, we find the slope of the given line by rearranging it into slope-intercept form:

5x - 3y = 12
-3y = -5x + 12
[tex]y = \(\frac{5}{3}x - 4\)[/tex]

This reveals the slope of the given line is  [tex]\(\frac{5}{3}\).[/tex] The slope of the line perpendicular to it would therefore be [tex]\(-\frac{3}{5}\)[/tex]since  [tex]\(-\frac{3}{5}\)[/tex]is the negative reciprocal of  [tex]\(\frac{5}{3}\).[/tex] Next, we use the point-slope form for the equation of a line with the known point (3,1):

y - y1 = m(x - x1)
[tex]y - 1 = \(-\frac{3}{5}\)(x - 3)[/tex]

Multiplying out, we get:

[tex]y - 1 = \(-\frac{3}{5}\)x + \(\frac{9}{5}\)[/tex]

Finally, adding 1 to both sides to solve for y:

[tex]y = \(-\frac{3}{5}\)x + \(\frac{9}{5}\) + 1[/tex]
[tex]y = \(-\frac{3}{5}\)x + \(\frac{14}{5}\)[/tex]

This is the equation of the line that is perpendicular to 5x-3y=12 and passes through (3,1).

If W = 11 ft, X = 12.6 ft, Y = 7ft, and Z= 9.6ft, what is the area of her closet?

A: 138.6 sq ft
B: 88.2 sq ft
C: 94.2 sq ft
D: 73.2 sq ft

I think the answer is B

Answers

Your answer will be B. Do u know to get it.
blah blah blah blah blah blah blah ( just to fill some space ) the answer is ,because you take the area of the triangle ( 6 sq ft ) and the area of the rectangle (88.2 sq ft ) and add them together to get a total area of 94.2

What is the slope of the line Y = - 4/5x?

Answers

Hey there!

The slope of the line is -4/5
Slope is m= -4/5
Hope this helps

Ned has scored 84 points in the first 6 games of the basketball season. How many points per game has Ned scored?

Answers

Ned must have scored an avg. of 14 points per game in his 6 games total.
A good strategy to show this is using ratios or proportions.

84 points : 6 games =  14 points : 1 game

SCALE FACTOR: To figure out the scale factor divide the information that is matched. In this case it would be 6 games divided by 1 game. Your scale factor is 6. Multiply the information that matches the information that is missing. So, in this case it would be 84 points divided by 6. You are dividing because you want to know how much Ned scored in one game, now if you wanted to know how much Ned made in 12 games you would multiply 84 by 6. 84 divided by 6 = 14


ANSWER: NED SCORES 14 POINTS PER GAME

what is 5 divided by 8.1

Answers

.6172839506
as a fraction this is 50/81

The answer to this is 0.61728

what kinds of face shapes are the results from cuts made from parallel and perpendicular to the bases of right rectangular prisms and pyramids

Answers

A cross section is the 2D shape that fallouts from cutting a 3D with a plane.To classify the face shape from cuts made parallel and perpendicular to the bases of right dimensional figures, we need to know first what parallel cuts are. These cuts will form the shape of the base while perpendicular cuts will take the form of the lateral face. Cuts at an angle through the right rectangular prism or pyramid will make a parallelogram.

How many times does 3 go into 1/3

Answers

3 times. hope this helps and have a good day
5 times because you subtract a decimal

Jill made chocolate shakes for a party she used 1/4 cup of milk for each shake how many ounces of milk did Jill need to make for 36 shakes

Answers

Since we know that Jill needs 1/4 of a cup of milk per shake and that she wants to make 36 shakes, you would set up an expression that involves multiplying 1/4 and 36 together: 1/4*36
Then, when you multiply, you get 36/4 which simplifies to 9.
Your answer would be 9 ounces

PLEASE HELP ME ASAP!

Which unit rate is the lowest price per ounce?

Choice A: 5 ounces of raisins for $1.49
Choice B: 12 ounces of raisins for $3.59

Choice A
Choice B
The unit rates are equal.
The unit rates cannot be determined.

Answers

A is the better deal on raisins, Hope this helped
Choice A

A: 1.49/5=0.298
B: 3.59/12=0.299

If this is correct can you rate me

How many times can 8 go into 280

Answers

35 I think it is I'm not too sure

If 2" = 10 miles on a map, how far would 6" equal?



10 miles


30 miles


60 miles


90 miles

Answers

The Answer Is 30Mi 
Hope This Helps!
6” would be 30 miles. If you multiply 6 by 10 then divide by 2 we get 30.

A circle is divided into 20 equal parts. What is the angle measure of three of those parts.

Answers

Answer:18
You have to divide
360 divided by 20 equals 18

Police set up an auto checkpoint at which drivers are stopped and their cars inspected for safety problems. They find that 14 of the 134 cars stopped have at least one safety violation. They want to estimate the percentage of all cars that may be unsafe.

Answers

Final answer:

To estimate the percentage of all cars that may be unsafe, divide the number of cars with safety violations by the total number of cars stopped, and then multiply by 100. Based on the data from the auto checkpoint, approximately 10.45% of all cars may be unsafe.

Explanation:

To estimate the percentage of all cars that may be unsafe, we can use the proportion of cars with safety violations found at the auto checkpoint. We can calculate the percentage by dividing the number of cars with safety violations by the total number of cars stopped, and then multiplying by 100.

In this case, 14 of the 134 cars stopped had safety violations. So, the percentage of cars that may be unsafe is (14/134) x 100 = 10.45% (rounded to two decimal places).

Therefore, we can estimate that approximately 10.45% of all cars may be unsafe based on the data from the auto checkpoint.

Margo spends 0.25 of her paycheck on a new dress, 1/8 of her paycheck on shoes, and $24 on a birthday present. If she spent $60 altogether, how much was Margo’s paycheck?

Answers

It will be 84 dollars

Answer:

$96

Step-by-step explanation:

Some conveyor belts have two pulleys. If one pulley has a diameter of 45 cm and another has a diameter of 20 cm, what is the ratio of the smaller diameter to the largest diameter?

Answers

20:45 or 4:9 if simplified

The side lengths of triangle ABC are 3, 4, and 5. Which set of ordered pairs form a triangle that is congruent to triangle ABC?

Answers

multiply 3,4,5 with the any common factor:
×2: 6,8,10
×3: 9,12,15

Answer: The answer is A

factor the polynomial completely y^3+6y^2-4y-24

Answers

 y3-6y2-4y+24 Final result : (y + 2) • (y - 2) • (y - 6)

You might try factoring by grouping first.

Note that y^3+6y^2 = y^2(y+6), and that -4y-24 = -4(y+6).  So, (y+6) is a factor common to the first group of 2 terms and the 2nd grp of 2 terms.

We get  (y+6)[y^2 - 4].  Note that y^2-4 is easily factorable:  (y-2)(y+2),
so we now have three factors of the original poly:

(y+6), (y-2) and (y+2)   (answer)

The principle amount P deposited in a bank account plus 4 percent interest. If $250 was deposited, how much is now in the account?

Answers

Let A = total amount in account

A = (0.04)(250) + 250

Take it from here.

multiply decimals-1.9×8.43

Answers

16.017 that's the answer good luck
I think the answer is 16.017

To one decimal point, how many millimeters are there in 57 inches?

Answers

The answer is 1447.8 millimeters

There are 1447.8 millimeters in 57 inches. which is determined by multiplying 57 by 25.4.

How to convert Inches to millimeters?

The methodology to convert inches to mm is relatively simple. To convert inches to millimeters, you must multiply the unit by 25.4.

For example, if you have to convert 5 inches to millimeters, you need to multiply 5 by 25.4.

Therefore, 5 inches = 5 × 25.4 = 127 millimeters

We determine the number of millimeters there in 57 inches.

We have to convert 57  inches to millimeters,

We need to multiply 57 by 25.4.

So, 5 inches = 57 × 25.4 = 1447.8 millimeters

Therefore, there are 1447.8 millimeters in 57 inches.

To learn more about the unit conversion click here:

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The sum of Juanita’s age and Sara’s age is 33 years. If Sara is 15, how old is Juanita?

Answers

Juanita is 18 years old.
33-15
18

Hope this helps
I would assume it's 18.

Amy is in a craft store looking at packages of Pom-poms. Amy sees packages of four red pom-poms. Amy says she can buy seven packages of four pom-poms or four packages of seven pom-poms because she will get the same total of pom-poms. Is Amy correct? Show all mathematical thinking.

Answers

First, let's calculate the number of pom poms she get if she buys 7 packages of 4.
Multiply each number to get the value.
7 x 4 = 28
Shell get 28 pom poms.

Now let's calculate the number of pom pom if she gets 4 packages of 7.
4 x 7 = 28
She gets 28 pom poms.

Therefore, both of these options gets the same amount of pom poms, which is 28, therefore Amy is correct.
Final answer:

Amy is incorrect because both options will give her the same total number of pom-poms.

Explanation:

Amy is incorrect in her statement. Let's calculate the total number of pom-poms in each scenario. If she buys 7 packages of 4 pom-poms, she would have 7 * 4 = 28 pom-poms. On the other hand, if she buys 4 packages of 7 pom-poms, she would have 4 * 7 = 28 pom-poms as well. So, both options result in the same total number of pom-poms.

A touchdown is worth 6 points. Additionally you score an extra point if you can kick a field goal . Is the total number of points scored proportional to the number of touchdowns

Answers

No because a touchdown is worth 6 and the extra points is worth 4 or 2
Sort of because you can also go for two extra points by throwing or running it into the end zone and you may also miss the extra point into the field goal. Also there are safety's where the quarterback is tackled in there end zone which is worth 2 points toward the opposing team and field goals where the ball is kicked on fourth down and they never made it into the end zone which is worth three points for the team if they make it into the field goal.

How does place value help me subtract decimals

Answers

okay make sure you write this down on your paper place value help me subtract decimals because if you want you don't line up the decimals you'll get the right answer . but if you do line up the decimals you'll get the wrong answer so you do not line up decimals when you are subtracting decimals
Final answer:

Place value helps you subtract decimals by aligning the decimal points and subtracting digit by digit.

Explanation:

Place value helps you subtract decimals by aligning the decimal points and subtracting digit by digit. Start from the right and subtract the digits in the ones place, then move to the tenths place, hundredths place, and so on. If the top number is smaller than the bottom number in a place value column, you may need to borrow from the place value to the left.

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Write a situation for 15x - 20 ≤ 130 and solve

Answers

Final answer:

To write a situation for the inequality 15x - 20 ≤ 130 and solve it, let's assume that x represents the number of hours a student can study. The solution to the inequality is x ≤ 10, meaning the student needs to study for 10 hours or less to complete the required amount of work.

Explanation:

To write a situation for the inequality 15x - 20 ≤ 130, let's assume that x represents the number of hours a student can study. In this situation, the left-hand side of the inequality represents the amount of work the student has already completed (15x - 20) and the right-hand side represents the total amount of work the student needs to complete (130). The inequality states that the amount of work completed should be less than or equal to the total amount of work required. To solve the inequality, we can follow these steps:

Add 20 to both sides of the inequality: 15x - 20 + 20 ≤ 130 + 20, which simplifies to 15x ≤ 150.Divide both sides by 15 to isolate the variable x: 15x/15 ≤ 150/15, which simplifies to x ≤ 10.

Therefore, the solution to the inequality is x ≤ 10. This means that the student needs to study for 10 hours or less in order to complete the required amount of work.

Learn more about Inequality here:

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The heaviest bowling ball made by a bowling ball company weighs 21 pounds and costs $45. During the past year, the company sold 10 5 105 of these balls. How much money did the company earn?
A. $4,500
B. $45,000
C. $4,500,000
D. $45,000,000 Previous Next

Answers

Well, I don't know the number of bowling balls they sold is it 10, 5 or 105 but the answer is just the number of sold balls multiplied by 45. Make sure to put a dollar sign on your answer.

The required money earned by the company after selling 10⁵ balls is $4500000. Option C is correct.


A bowling ball manufacturer's heaviest bowling ball weighs 21 pounds and costs $45. The corporation sold 10 5 105 of these balls throughout the course of the previous year. To determine how much money did the company earn.


What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Number of balls sold = 10⁵
Cost for 1 ball = $45
Total selling price = 45 * 10⁵ = $4500000

Thus, the required money earned by the company after selling 10⁵ balls is $4500000. Option C is correct.

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find the value of x and y

Answers

What do we know about these angles? Immediately, you might notice that (4y-8)° and (16x-4)° share a line. The same is true of (16x-4)° and (14x+4)°. Any straight line forms what's called a straight angle, which measures 180°, so we know that, since they add up to form a straight angle, (14x+4)° and (16x-4)° must add up to 180°. We can use that fact to set up an equation to solve for x:

(14x+4)+(16x-4)=180

After you solve for x, you should look to solve for y. How can we figure out what y is? If you're familiar with the vertical angle theorem, you'll know that all vertical angles (angles that are directly across from each other diagonally) are equal. So we know that 14x+4=4y-8. You can use the value of x you solved for before to solve this one fairly easily, and then you'll have both values.
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