Which expressions are equivalent to R16? Check all that apply.
0 (60)*
(80) •
blouse
(02)0
0 (89)16

Which Expressions Are Equivalent To R16? Check All That Apply.0 (60)*(80) Blouse(02)00 (89)16

Answers

Answer 1

Option C:  [tex](6^{-4})^{-4}[/tex]

Option D:  [tex](6^{-2})^{-8}[/tex]

Option F:  [tex](6^8)^2[/tex]

Solution:

Given expression: [tex]6^{16}[/tex]

To find which expression is equivalent to the given expression.

Let us solve this using exponent rule: [tex]\left(a^{b}\right)^{c}=a^{b c}[/tex]

Option A: [tex](6^{0})^{16}[/tex]

[tex](6^{0})^{16}=6^{0 \times 16}= 6^0[/tex]

It is not equivalent expression.

Option B: [tex](6^8)^8[/tex]

[tex](6^{8})^{8}=6^{8 \times 8}= 6^{64}[/tex]

It is not equivalent expression.

Option C:  [tex](6^{-4})^{-4}[/tex]

[tex](6^{-4})^{-4}=6^{(-4 )\times (-4)}= 6^{16}[/tex]

It is equivalent expression for the given expression.

Option D:  [tex](6^{-2})^{-8}[/tex]

[tex](6^{-2})^{-8}=6^{(-2) \times (-8)}= 6^{16}[/tex]

It is equivalent expression for the given expression.

Option E:  [tex](6^{-1})^{16}[/tex]

[tex](6^{-1})^{16}=6^{(-1) \times 16}= 6^{-16}[/tex]

It is not equivalent expression.

Option F:  [tex](6^8)^2[/tex]

[tex](6^{8})^{2}=6^{8 \times 2}= 6^{16}[/tex]

It is equivalent expression for the given expression.

Hence [tex](6^{-4})^{-4}, \ (6^{-2})^{-8}, \ (6^8)^2[/tex] are the equivalent expressions.

Option C, Option D and Option F are correct answers.


Related Questions

The senior classes at High School A and High School B planned separate trips to New York City.
The senior class at High School A rented and filled 4 vans and 6 buses with 360 students. High
School B rented and filled 3 vans and 3 buses with 195 students. Every van had the same
number of students in it as did the buses. Find the number of students in each van and in each
bus.

Answers

Use elimination or substitution here
Make children in vans variable V and buses B
4v + 6b =360
-2(3v + 3b = 195) > I multiplied it by -2 so the bs can cross out and I can find the value of v
4v + 6b = 360
-6v -6b = -390
Add straight down
-2v = -30 )))))) v= 15
Now plug in 15 for v in one of the equations above and solve for b
Best of luck!

the distance to the meeting place is 1047 miles if his car gets 29 mpg how many gallons of gas will he need

Answers

Answer:

36.1g

Step-by-step explanation:

29mi ..... 1 g

1047mi....x

x=1047×1/29=36.1g

Answer:

36.1 Gallons of gas

Step-by-step explanation:

x= gallons of gas

1047=29x

1047/29=x

36.1=x

36.1 gallons of gas

What is this answer help pls

Answers

Answer:

4 * (3 + 2 ) - 6 ÷ 1 = 14

*, +, -, ÷

Step-by-step explanation:

Remember PEMDAS:

P - parenthesis

E - exponents

M - multiplication

D - division

A - addition

S - subtraction

So, (3 +2) = 5

5 * 4 = 20

20 ÷ 1 = 20

20 - 6 = 14

Hope I helped! C:

A six-sided die is rolled. What is the probability that the number rolled will be an even number or a 6?

Answers

Answer:

1/2

Step-by-step explanation:

A six sided die has 1, 2, 3, 4, 5, 6. Out of those numbers, 3 of those are even numbers. Meaning you have a 3/6 chance. This 3/6 can be reduced to 1/2.

How does knowing how to find the area of a
rectangle help you determine the area of other
polygons?​

Answers

Answer:

https://w w w .y o ut u b e. c o m / wa tc h ?v =z 5  0C 1b 2s O5 M

Answer: maybe divide the rectangle

Step-by-step explanation:

To find the answer of polygen

The ratio of length , breadth,and height of cuboid is 3:2:1.If the volume of the cuboid is 48 cubic meter,find the base area of the cuboid​

Answers

Base area of the cuboid = 24 square inches

Solution:

Volume of cuboid formula = length × breadth × height

Ratio of l : b : h = 3 : 2 : 1

Let us take length be 3x, breadth be 2x and height be x.

Volume of cuboid = 48 cubic meter

length × breadth × height = 48

[tex]3x\times 2x \times x = 48[/tex]

[tex]6x^3=48[/tex]

Divide by 6 on both sides of the equation.

[tex]x^3=8[/tex]

[tex]x^3=2^3[/tex]

Taking cube root on both sides, we get

x = 2

Base area of the cuboid = length × breadth

                                        = 3(2) × 2(2)

                                        = 6 × 4

                                        = 24

Base area of the cuboid = 24 square inches

Tanner calculates the volume of a rectangular prism with dimensions Three-fourths ft by 5 ft by One-half ft. His work is shown below. V = l w h. V = Three-fourths (StartFraction 5 Over 1 EndFraction) (one-half) = StartFraction 3 (5) (1) Over (4) (1) (2) EndFraction = StartFraction 15 Over 6 EndFraction = 2 and one-half. What error did Tanner make? He multiplied the numerators incorrectly. He multiplied the denominators incorrectly. He simplified StartFraction 15 Over 6 EndFraction incorrectly. He wrote 5 as a fraction incorrectly.

Answers

Answer:

He multiplied the denominators incorrectly

Step-by-step explanation:

we know that

The volume of a rectangular prism is given by the formula

[tex]V=LWH[/tex]

we have

[tex]L=\frac{3}{4}\ ft\\\\W=\frac{5}{1}\ ft\\\\H=\frac{1}{2}\ ft[/tex]

substitute

[tex]V=(\frac{3}{4})(\frac{5}{1})(\frac{1}{2})=\frac{3*5*1}{4*1*2}=\frac{15}{8}\ ft^3[/tex]

therefore

He multiplied the denominators incorrectly

Answer:

B. He multiplied the denominators incorrectly.

Step-by-step explanation:

I did the test myself. Good luck with the rest of your test! Have a great day/night! <3

A small town had a population 960 people last year. The population grew to 1200 people this year. By what percentage did the population grow?

Answers

Answer:

25%

Step-by-step explanation:

1200/960 = 1.25

So it grew by 25%

A professor surveys his students about their opinions on how well he taught the course. He puts this survey on the last page of
his final exam. Which type of bias will most likely have the strongest effect on the survey results?
Not all students will have the access needed to find the survey
Students may not truthfully reply because they fear it will affect their grade
Students may not understand the wording used in the survey
Not all students will be represented in the survey sample.

Answers

Students may not truthfully reply because they fear it will affect their grade

Answer:

students may not truthfully reply as they fear it will affect their grade

Step-by-step explanation:

-4(x+ 9) = 24

i need my homework done lol .

Answers

Step-by-step explanation:

[tex] - 4(x + 9) = 24 \\ \\ \therefore \: - 4x - 36 = 24 \\ \\ \therefore \: - 4x = 24 + 36 \\ \\ \therefore \: - 4x = 60 \\ \\ \therefore \: x = \frac{60}{ - 4} \\ \\ \therefore \: x = - 15[/tex]

Equation and Steps:

-4(x + 9) = 24

-4x + -36 = 24
+36. +36

-4x = 60
-4 -4


Answer: x = -15

The diagram shows the position of two towns, Alton and Barking.
The bearing of Barking from Alton is bº.
The bearing of Alton from Barking is 6bº.
No
Calculate the 3-figure bearing of Alton from Barking.​

Answers

Answer:

  216°

Step-by-step explanation:

The difference between the bearing from B to A and the bearing from A to B is 180°. Here, the difference between the two bearings is ...

  6b -b = 180°

  b = 180°/5 = 36°

  6b = 6·36° = 216°

The bearing of Alton from Barking is 216°.

-x+5x=48
will give brainlist and thx if correct

Answers

Answer:

x=12

Step-by-step explanation:

Answer:

x = 12

Step-by-step explanation:

Given

- x + 5x = 48, that is

4x = 48 ( divide both sides by 4 )

x = 12

What is the solution set of inequality 5-|x+4|<=-3

Answers

Answer:

[tex]x \geqslant 4 \: or \: x \leqslant - 12[/tex]

Step-by-step explanation:

The given absolute value inequality is:

[tex]5 - |x + 4| \leqslant - 3[/tex]

Let us subtract 5 from both sides to get:

[tex] - |x + 4| \leqslant - 3 - 5[/tex]

We simplify to get:

[tex] - |x + 4| \leqslant - 8[/tex]

We divide through by -1 to get:

[tex]|x + 4| \geqslant 8[/tex]

By the definition of absolute value function,

[tex](x + 4) \geqslant 8 \: or \: - (x + 4) \geqslant 8[/tex]

Divide through the second inequality by -1 and reverse the inequality sign.

[tex](x + 4) \geqslant 8 \: or \: (x + 4) \leqslant - 8[/tex]

Subtract 4 from both sides of both inequalities.

[tex]x \geqslant 8 - 4 \: or \: x \leqslant - 8 - 4[/tex]

[tex]x \geqslant 4 \: or \: x \leqslant - 12[/tex]

Blueberries cost 2.25 dollars per pound how many would 10 pints of blueberries cost

Answers

Final answer:

The cost of 10 pints of blueberries, given their price per pound ($2.25), is $33.75.

Explanation:

The subject of this question is the cost of buying blueberries, given their price per pound. To find out the cost of 10 pints of blueberries, you first need to know how many pounds are in a pint. Given that approximately 1.5 pounds of blueberries make up a pint, you then multiply the number of pints, here 10, by 1.5 to get the total weight in pounds. Therefore, 10 pints is equivalent to 15 pounds of blueberries. You then multiply the total weight (15 pounds) by the cost per pound ($2.25) to get the total cost. Hence, 15 pounds multiplied by $2.25 equals $33.75. So, the cost of 10 pints of blueberries would be $33.75.

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Tommy has 6 more than 3 times the amount of money in his bank account than Judy. Judy has $7500 more than a number in her account. How much money does Judy and Tommy have in each their accounts?

Answers

Answer: Judy: n+7500

Tommy: 3(n+7500)+6

Step-by-step explanation:

What is the measure of the angle between two consecutive vertices of a
regular decagon (ten-sided shape)? *

Answers

Answer:

36 degrees

Step-by-step explanation:

we know that

The measure of the angle between two consecutive vertices of a  regular polygon is given by the formula

[tex]\frac{360^o}{n}[/tex]

where

n is the number of sides

In this problem

n=10 (regular decagon)

so

[tex]\frac{360^o}{10}=36^o[/tex]

pls help me with #7!! i don’t understand

Answers

The correct answer is b lave flows from a volcano and piles up

Jack has x pence,
Jill has 6 pence less than Jack.
Write down, in terms of x, the number of pence Jill has.

Answers

Final answer:

The amount of pence Jill has is written as x - 6, where x is the amount of pence Jack has.

Explanation:

If Jack has x pence, and Jill has 6 pence less than Jack, then the number of pence Jill has is x - 6. To express this in terms of x, we simply subtract 6 from x. So if Jack's amount of pence is represented by x, Jill's amount will be represented by the expression x - 6. It's similar to saying that if you have a certain number of something and someone else has 6 less, you would calculate the other person's amount by taking the number you have and subtracting 6 from it.

This pattern follows the "multiply by 3" rule. What is the next number in the pattern?

3, 9, 27, 81, ________

A. 243
B. 244
C. 288
D. 343

Answers

Answer:

A. 243

Step-by-step explanation:

81 multiplied by 3

Answer:243

Step-by-step explanation: count by 3

Which transformation would not create an image and a pre-image that are CONGRUENT figures?

A
A dilation with a scale factor of 1

B
A translation to the right and up.

C
A dilation with a scale factor of 2.

D
A reflection over the x-axis

Answers

Answer:

points

Step-by-step explanation:

Answer:

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size.

Step-by-step explanation:

:0

What is 11/15= 8/15-w

Answers

Answer: w= 1/5

Step-by-step explanation:

11/15=8/15 -w

-W= 8/15 -11/15

-w= 8-11/15 =-3/15

-w=-3/15

w=3/15= 1/5

Jake thinks that a rhombus is not always a parallelogram.Is jake correct?

Answers

Answer:

No, a rhombus is a quadrilateral, with four equal-length sides and opposite sides parallel to each other. All rhombuses are parallelograms, but not all parallelograms are rhombuses. The opposite interior angles of rhombuses are always congruent. A parallelogram is just a four sided closed shape where opposite sides are parallel.

I hope this helps!

A rhombus is always a parallelogram, and its diagonals are perpendicular. Jake is incorrect in his assertion.

A rhombus is indeed always a parallelogram because a parallelogram is a quadrilateral with opposite sides parallel and a rhombus fits this definition.

To show that the diagonals of a rhombus are perpendicular, we use the fact that the scalar product of perpendicular vectors is zero. By representing the diagonals as vectors, we can demonstrate their perpendicularity.

Therefore, Jake is incorrect in thinking that a rhombus is not always a parallelogram - it is a specific type of parallelogram with additional properties.

.Jenny is wrapping a present for her friend's birthday party. The box is 4 in. by 5 in. by 7 in. How much wrapping paper will Jenny need to wrap the present? Enter your answer in the box.

Answers

Jenny need 166 square inches of wrapping paper to wrap the present.

Solution:

Length of the box = 4 in

Breadth of the box = 5 in

Height of the box = 7 in

Surface area of the box = 2(lb + bh + lh)

                                        = 2( 4 × 5 + 5 × 7 + 4 × 7)

                                        = 2(20 + 35 + 28)

                                        = 2(83)

Surface area of the box = 166 in²

Hence Jenny need 166 square inches of wrapping paper to wrap the present.

Answer:

166

Step-by-step explanation:

A deli sells ham subs (h) for $6 each and meatball subs (m) for $8 each. The deli sells less than 40 subs on Monday. The total amount for all sales is less than $200. Which system of inequalities models this situation?

Answers

The requried system of inequalities that models this situation 6h + 8m < 200 and h + m < 40.

What is inequality?

In mathematics, an inequality is a statement that two values or expressions are not equal. An inequality uses one of the comparison symbols: "<" (less than), ">" (greater than), "≤" (less than or equal to), "≥" (greater than or equal to), or "≠" (not equal to).

Here,
Let's use the variables h and m to represent the number of ham and meatball subs sold, respectively. Then the system of inequalities that models this situation is:

h + m < 40 (the deli sells less than 40 subs)

6h + 8m < 200 (the total amount for all sales is less than $200)

Learn more about inequality here:

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The situation is modeled by the system of inequalities h + m < 40 and 6h + 8m < 200, where h represents the number of ham subs and m represents the number of meatball subs sold.

The deli sells two types of subs: ham subs (h) for $6 each and meatball subs (m) for $8 each. The total number of subs sold on Monday is less than 40, and the total sales amount is less than $200. We are looking to model this situation with a system of inequalities.

To represent the scenario, we can use the following system of inequalities:

h + m < 40 (because the deli sells less than 40 subs)

6h + 8m < 200 (because the total amount for all sales is less than $200)

This system captures the constraints on both the number of subs sold and the total sales amount in dollars.

At a lake, there are 2 boat rental shops. Shop A charges $210 for a 4-hour rental, and shop B charges $246 for a 6-hour rental. a. Which shop charges more per hour? b. How much more expensive is this shop? Explain how you figured out your answer (thought process). 1
explain in your own words no googling..plz

Answers

Answer:

  Shop A is more expensive by $11.50 per hour

Step-by-step explanation:

I solved this three ways.

1) The difference in time for the two given charges is (6 -4) = 2 hours. The charge at Shop A for 2 hours is half the charge for 4 hours, so its equivalent rate for 6 hours is ...

  Shop A rate for 6 hours = rate for 4 hours + rate for 2 hours

  = $210 +105 = $315 . . . for 6 hours

This is way more than what Shop B charges for 6 hours.

__

2) The difference in the charges is $246 -$210 = $36 for 2 hours difference in time. This is way less than the equivalent charge from Shop A for 2 hours, so the rate from Shop A is definitely higher.

__

3) In order to answer the question, "how much more expensive?" we expect the rate difference will need to be expressed as a per-hour difference.* This means we have to figure the per-hour charge for each Shop and find the difference of them.

  Shop A = $210/(4 h) = $52.50 /h

  Shop B = $246/(6 h) = $41.00 /h

The rate from Shop A is higher by $52.50 -41.00 = $11.50 per hour.

_____

Comments on How Much More

* Using the first method, the rate difference is $315 -246 = $69 for 6 hours.

Using the second method, the rate difference is difficult to express exactly, but we can say the rate difference of $36 for 2 additional hours at Shop B is exceeded by the $105 expected charge for 2 additional hours at Shop A. That difference rate ($36/(2h)) isn't an actual charge anywhere, but represents a way to tell if the slope of one curve is more or less than the slope of the other.

If the rates were the same at the two shops, the charge at Shop B for 6 hours would be $315 as we figured in the first method, so the difference of $315 -210 = 105 would match exactly the increment at Shop A for 2 hours.

Personally, I see the second method as easiest to compute and most telling. However, to answer the question, "how much more expensive is it?", we needed to use one of the other methods.

What hole do I put it in

Answers

@jeff4967

Can you please add a picture

Which is the simplified form of the expression (6-2.657-3?

Answers

Answer: 0.343

Step-by-step explanation:

6-2.657=3.343 subtract 3 you get 0.343

How much would $200 invested at 5% interest compounded monthly be
worth after 9 years? Round your answer to the nearest cent.

A(t) = P(1+(r/n))^(nt)

Answers

Answer:

A = $200(1 + .05/12)¹⁰⁸ = $313.37

Mike hiked to a lake in 3.5 hours at an average rate of 3 2/5
miles per hour. Pedro hiked the same distance at a rate of 3 4/5
miles per hour. How long did it take Pedro to reach the lake? Round to the hundredths place.

Answers

here it is the whole answer
Final answer:

Mike hiked 11.75 miles to the lake which took Pedro approximately 3.09 hours to cover at his speed.

Explanation:

The subject of this question is mathematics, more specifically the concept of speed, distance, and time. The first step is to calculate the distance that Mike travels. We know that distance equals speed times time, so Mike traveled 3.5 hours * 3 2/5 miles per hour, which equals 11.75 miles. This is the distance to the lake.

Now, we take the same distance and use Pedro's average speed to figure out how long it took him. Using the formula: Time equals Distance divided by Speed, we can calculate Pedro's time as: Time = 11.75 miles / 3 4/5 miles per hour. To simplify the numerical calculation, we turn 3 4/5 into a decimal form, which is 3.8. So, Time equals 11.75 miles / 3.8 miles per hour. This gives us around 3.09 hours, which we would round to 3.09 hours to the hundredths place.

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Can you please help me on -6x-3(1+5x)=-8(x-4)+4

Answers

Answer:

x=-3

Step-by-step explanation:

-6x-3(1+5x)=-8(x-4)+4

Step 1. Distribute:

-6x-3-15x=-8x+32+4

Step 2. Combine like terms:

-21x-3=-8x+36

Step 3. Add to different sides:

-13x=39

Step 4. Solve for x:

x=-3

-

Answer:

[tex]x=-3[/tex]

Step-by-step explanation:

Given Equation:

 [tex]-6x-3(1+5x)=-8(x-4)+4[/tex]

 [tex]-6x-3(1)-3(5x)=-8(x)-8(-4)+4\\\\-6x-3-15x=-8x+32+4\\\\-6x-15x-3=-8x+36\\\\-21x-3=-8x+36\\\\[/tex]

Adding '[tex]8x[/tex]' both the sides:

 [tex]-21x+8x-3=-8x+8x+36\\\\-13x-3=36[/tex]

Adding '3' both the side:

   [tex]-13x-3+3=36+3\\\\-13x=39\\\\x=\frac{39}{-13} \\\\[/tex]

     [tex]x=-3[/tex]

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