Tyler simplified the expression x Superscript negative 3 Baseline y Superscript negative 9. His procedure is shown below.


x Superscript negative 3 Baseline y Superscript negative 9 = StartFraction 1 Over x cubed EndFraction times StartFraction 1 Over y Superscript negative 9 EndFraction = StartFraction 1 Over x cubed y Superscript negative 9 EndFraction


What is Tyler’s error?

Both powers should be in the numerator with positive exponents.

Both powers should be in the denominator with positive exponents.

The power x cubed should be in the numerator and the power y Superscript 9 in the denominator.

The power y Superscript 9 should be in the numerator and the power x cubed in the denominator.

Answers

Answer 1

Answer:

D. The power y Superscript 9 should be in the numerator and the power x cubed in the denominator.

Step-by-step explanation:

The correct simplification is the following:

[tex]\frac{x^{-3}}{y^{-9}} = [/tex]

[tex]= \frac{1}{x^3} \times \frac{1}{y^{-9}} =[/tex]

[tex]= \frac{1}{x^3} \times y^{9} =[/tex]

[tex]= \frac{y^{9}}{x^3}[/tex]

Answer 2

Answer:

The answer is D)  

Start Fraction 1 Over r Superscript 7 Baseline End Fraction + Start Fraction 1 Over s Superscript 12 End Fraction

Step-by-step explanation:

Did the Test Zero & Negative Exponents on Engenuity.


Related Questions

A bucket contains 5 green tennis balls, 2 yellow tennis balls, and 6 red tennis balls. Tony removes 3 tennis balls, with replacement, from the bucket shown. What is the probability that the first tennis ball is yellow, the second tennis ball is green, and the third tennis ball is red

Answers

Answer:

i cant see the answers but i did the math is 60/156 there

Step-by-step explanation:

Estimating Volume Of a couple of shapes. Please answer correctly! I will give brainliest.

Answers

Answer:

Part A

C

D

F

Part B

4.8

Step-by-step explanation

A.
F(x) = log(x + 3) + 1
B.
F(x) = log(x + 1) + 3
C.
F(x) = log(x + 1) - 3
D.
F(x) = log(x - 3) + 1

Answers

Answer:

B.

Step-by-step explanation:

I graphed it but you could also use the y intercept to determine which function matches the graph

log(x+1)+3

the +3 at the end of the function makes the y-intercept positive 3

The sum of the squares of two consecutive positive odd integers is 202. Find the numbers. Let statement and algebraic solution please. Thanks!

Answers

Answer:

Step-by-step explanation:

the integers are x and x+2

x^2 + x^2 + 4x + 4 = 202

2x^2 + 4x -198 = 0

x^2 + 2x -99 = 0

x^2 + 11x -9x -99 = 0

x(x + 11) -9(x + 11) = 0

(x-9)(x+11) = 0

x = 9 or -11

x+ 2 = 11 or -9

9 or 11

-9 or -11

When 25
218 x+2y-3x+12y+3) is simplified, what is the resulting expression?
1
17 / 3x + 27 3y + 6
Pox+2y+6
10x + 8 - 3y + 6
1
x
4Y+3

Answers

Answer:

[tex]\frac{25}{215x+14y+3}[/tex]

Step-by-step explanation:

When 25 218 x+2y-3x+12y+3) is simplified, what is the resulting expression? 1 17 / 3x + 27 3y + 6 Pox+2y+6 10x + 8 - 3y + 6 1 x 4Y+3.

[tex]\frac{25}{215x+14y+3}[/tex]

A bag of potatoes weights 30 lb. If 74% of a potato is water, how many pounds of water are there in the bag?

Answers

Answer: There are 22.2 pounds of water in the bag.

Step-by-step explanation:

Hi, to answer this question we simply have to multiply the total weight of the bag by the water percentage in decimal form (divided by 100).

Mathematically speaking:

30 x (74/100) = 30 x 0.74 =22.2 pounds

There are 22.2 pounds of water in the bag.

Feel free to ask for more if needed or if you did not understand something.

Answer:

22.2

Step-by-step explanation:

How many boxes of fish can fit in the shipping box? Explain your answer, will give brainlest!

Answers

Answer:

2340 boxes

Step-by-step explanation:

to find out how many boxes or cans fit there u need to know the volume of the box and the cans or boxes

v= l*w*h

v= volume

l=length

w=width

h=height

first lets find the volume of one can or box of fish food

the length, the width, and the height are the same which is 1/4, so cube 1/4 or 1/4*1/4*1/4

1/4*1/4*1/4= 1/16 *1/4= 1/64

Now u have to find the volume of the shipping box, so the length is 3 3/4, the width is 3, and the height is 3 1/4

3 3/4*3*3 1/4= 15/4*3/1*13/4

15/4*3/1*13/4= 45/4*13/4 = 585/16

now divided the volume of shipping box by the volume of fish food boxes

585/16 divided by 1/64 and now u do the KFC or the keep flip change

u keep the 585/16 and then flip the sign to multiplication and then change the last number to 64/1

585/16 times 64/1= 37440/16 or 2340

What is the distance between points A and B?
-6 units
- 1 units
5 units
6 units

Answers

It would be helpful if you put a picture but I think it’s 5 units

Sorry if I’m wrong

The correct option is Option D: The distance between A and B is 6 units.

What is a number line?

The number line infinitely extended straight line where the integers are pointed by the distance of 1 unit.

What is the distance between two points on the number line?

The distance between two points x and y on the number line will be = y-x

Here given in the question, A and B are two points given in the number line.

A has a position on -5.

and B has the position on 1.

We have to calculate the distance between these two points using the above formula

The distance between A and B is = B-A = 1-(-5)= 1 + 5= 6 units

Therefore the correct option is Option D: The distance between A and B is 6 units.

Learn more about the number line

here: https://brainly.com/question/24644930

#SPJ2

Here the question was incomplete. Below you will find the missing content/ graph/ options.

What is the distance between points A and B?

What is the distance between points A and B?-6 units

What is the distance between points A and B?-6 units- 1 unit

What is the distance between points A and B?-6 units- 1 unit5 units

What is the distance between points A and B?-6 units- 1 unit5 units6 units

What is the distance between points A and B?-6 units- 1 unit5 units6 unitsThe missing picture is attached below.

AABC is a right triangle. If AC = 12 and BC =
13, find AB.
5
25
2
18

Answers

Answer:

The answer is AB=5.

in a 400 page manuscript, there are 200 randomly distributed misprints if a page is selected, find the probability that it has 1 misprint



please show work

Answers

Answer:

½

Step-by-step explanation:

The probabliliry of picking a misprint is gotten by dividing the number of misprints by the total number of pages in the manuscript.

There are 200 randomly placed misprints in the 400 page manuscript.

Therefore, the probability of picking a misprint is:

200 / 400 = ½

A particular type of cell increases by 75% in number every hour. Find the number of cells present at the end of 12 hours if there are initially 4 of these cells?

Answers

We have been given that a particular type of cell increases by 75% in number every hour. We are asked to find the number of cells present at the end of 12 hours if there are initially 4 of these cells.

We will use exponential growth formula to solve our given problem.

[tex]y=a\cdot (1+r)^x[/tex], where,

y = Final amount,

a = Initial amount,

r = Growth rate in decimal form,

x = Time.

[tex]75\%=\frac{75}{100}=0.75[/tex]

Upon substituting initial value [tex]a=4[/tex] and [tex]x=12[/tex] in above formula, we will get:

[tex]y=4\cdot (1+0.75)^{12}[/tex]

[tex]y=4\cdot (1.75)^{12}[/tex]

[tex]y=4\cdot 825.0050068497657776[/tex]

[tex]y=3300.020027[/tex]

[tex]y\approx 3300[/tex]

Therefore, there will be approximately 3300 cells at the end of 12 hours.

Given angle 1 and angle 2 are supplements, angle 3 and angle 4 are supplements, angle 1 is congruent to angle 4. Prove Angle 2 is congruent angle 3

Answers

m<1 + m<2 = 180°

m<3 + m<4 = 180°

Because they are both equal to 180°, you can set them equal to each other.

m<1 + m<2 = m<3 + m<4

Angles 1 and 4 are congruent (equal), so we can subtract them from each side to get:

m<2 = m<3

Answer:

There. I couldn't find it so I just guessed till I got it right

I need help now please .

Answers

what do you need help with i do not see the question

A circular swimming pool is 21 feet in diameter. What is the circumference
of the swimming pool? *

Answers

Answer:

66 feet

Step-by-step explanation:

diameter = 21 feet

circumference of circle = 2πr or πd

circumference of swimming pool = 22/7 * 21

                                                       = 22 * 3

                                                       = 66 feet

Hope this year is useful!!

The volume of the following figure is 240in² Which of the following is the missing side length?

Answers

Answer:

8 in

Step-by-step explanation:

The formula to find the volume of a rectangular prism is l · w · h.

l = ?

w =  6 in

h = 5 in

We know the volume of the following figure is equal to 240 and so we can set up an equation where we solve for l (length).

l · 6 · 5 = 240

To get l by itself, you divide 240 by 6 and then by 5 to get your answer.

l = 8

We can check our work here by multiplying 8 · 6 · 5 which gives us the correct 240.

The organizers of a crossword competition stated the rules for how many participants would win prizes. The rules sald one of every three would
win a prize.
Which ratlo is equivalent to the ratio in this situation?
A.
10/5
B.
5/15
C.
12/3
D.
2/8

Answers

Answer: B

Step-by-step explanation: What is equivilent to 1/3? 1/3 * 5/5 = 5/15

find the value of x​

Answers

Answer:

Step-by-step explanation:

16

the answer is 16 :).

What is distributive property of 7(5b +8)

Answers

Answer:

35b+56

Step-by-step explanation:

First, split the equation.

To do this, take 5b and 8, and make each of those their own little parentheses. Those would both be multiplied by 7.

7(5b) + 7(8)

Multiply out.

35b + 56

The following represents a tetrahedron.
Which of the following nets could be folded on the edges to form a tetrahedron? Select all that apply.

Answers

Answer:

It's the second and third one!!

Step-by-step explanation:

Answer:

1 and 3

Step-by-step explanation:

Please tell me the answer.

Answers

Answer:

-The measure of [tex]\angle A[/tex] :

[tex]\angle A = 144\textdegree[/tex]

-The measure of [tex]\angle B[/tex] (if needed):

[tex]\angle B = 144\textdegree[/tex]

Step-by-step explanation:

-Set the measure of [tex]\angle A[/tex] on one side and set the measure of [tex]\angle B[/tex] on the other side and it will be written as:

[tex]10x + 24 = 6x + 72[/tex]

-Then, solve for [tex]x[/tex] :

[tex]10x + 24 = 6x + 72[/tex]

[tex]10x + 24 - 6x = 6x - 6x + 72[/tex]

[tex]4x + 24 = 72[/tex]

[tex]4x + 24 - 24 = 72 - 24[/tex]

[tex]4x = 48[/tex]

[tex]\frac{4x}{4} = \frac{48}{4}[/tex]

[tex]x = 12[/tex]

-After you have found the value of [tex]x[/tex], plug in both the measure of [tex]\angle A[/tex] and [tex]\angle B[/tex] in order to get the actual angle measurement of [tex]\angle A[/tex] and [tex]\angle B[/tex] :

Finding the measure of [tex]\angle A[/tex] :

[tex]\angle A = 10(12) + 24[/tex]

[tex]\angle A = 120 + 24[/tex]

[tex]\angle A = 144\textdegree[/tex]

Finding the measure of [tex]\angle B[/tex] :

[tex]\angle B = 6(12) + 72[/tex]

[tex]\angle B = 72 + 72[/tex]

[tex]\angle B = 144\textdegree[/tex]

-Notice: That reason why both [tex]\angle A[/tex] and [tex]\angle B[/tex] have the same measurements, its because they are Alternate Exterior Angles, based on the diagram shown.

What is the value of y?

A. 630
B. 126°
C. 73°
D. 54°

Answers

Answer:

y = 63

Step-by-step explanation:

The sum of the angles of a triangle is 180

54+y+y = 180

Combine like terms

2y+54 = 180

Subtract 54 from each side

2y+54-54= 180-54

2y =126

Divide each side by 2

2y/2 = 126/2

y =63

Answer:

A. 63 degrees

Step-by-step explanation:

All angles added together would equal 180. We have two angles that equal y and a third that has 54. Our first step:

180-54=126

Both of the y angles equal 126. We want a separate value though, so we divide this by two.

126/2=63

Thus, A is our answer

Tony wants to buy a ticket for $15.75. He has $9.25. At least how much money do you earn to buy the ticket?

Thank you!

Answers

Answer:

6.50

Step-by-step explanation:

15.75-9.25=6.5

Can someone please please help

Answers

Answer:No

Step-by-step explanation:The side lengths do not make a right triangle, so it can't be tangent.

What is the value of m

Answers

Answer:

The value of m has to be found within an equation or it has a given value alreadu.

Step-by-step explanation:

Jacob is a registered nurse. He earns $68,000 per year. He must pay a $30 in taxes every $100 he earns. How much is Jacob's net income?

Answers

Answer:

$47,600

Step-by-step explanation:

Net income = total revenue - total expenses

NI= 68000 - (30)(680)

NI=68000-20400

NI=47600

What is the interquartile range of the data set (WILL MARK BRAINLIEST)


Answers

20,25,30,30,31,40,41,49

median=30.5

Q¹= 27.5

Q³=40.5

40.5-27.5= 13 IQR = 13

b) Write 25 x 10^6 in standard form.

Answers

Answer:

25,000,000

Step-by-step explanation:

Hope this helps!!!

A school club had a T-shirt sale to raise money. After the sale, an inventory showed that 108 blue T-shirts and 96 green T-shirts had been sold. The sizes of these T-shirts included 60 small, 86 medium, and 58 large. Which table correctly represents the data? *
A
B
C
D

Answers

Answer:

B

Step-by-step explanation:

a table must have 108 blue shirts in total and 96 green shirts

first you add them to find out if the blue shirts have 108

you also need to make sure if green has 96 shirts too

i hope this was helpful

Which product is less than 5/8

Answers

Answer: 4/8

Step-by-step explanation:

please please solve this your finding x problem is easy i hope

Answers

Answer:

71

Step-by-step explanation:

its an isosceles triangle, as we can tell from the sides, that means that 2 angles are the same size as well. a triangle has 180 degrees.

180-38=142

142/2=71

check

71+71+38=180

that means x=71 degrees

hope this helps!!

Answer:

x = 71

Step-by-step explanation:

The triangle has 2 congruent sides and is isosceles.

Thus the 2 base angles are congruent, so

x = [tex]\frac{180-38}{2}[/tex] = [tex]\frac{142}{2}[/tex] = 71

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