JEROME
(2/3)^2 = 2/9

can someone tell me what is Jerome mistake.​

Answers

Answer 1

Law of Exponent

[tex] \displaystyle \large{( \frac{a}{b} )^{n} = \frac{ {a}^{n} }{ {b}^{n} } }[/tex]

From the expression.

[tex] \displaystyle \large{( \frac{2}{3} )^{2} = \frac{ {2}^{2} }{ {3}^{2} } = \boxed{\frac{4}{9} } }[/tex]

Jerome's mistake is that Jerome forgot to evaluate 2^2 or forgot to add 2^2. The denominator is correct but the numerator is wrong.


Related Questions

If de=4x+10 Ef=2x-1 and df= 9x-15 find df

Answers

Step-by-step explanation:

Assuming that de + ef = df, we can create the expression:

(4x + 10) + (2x - 1) = 9x - 15

Combine like terms to get:

6x + 9 = 9x - 15

The rest is basic algebra after this point.

6x + 9 = 9x - 15

-6x +15 -6x +15

______________

24 = 3x ----> x = 8

Next, plug the x value into the df equation to find df.

df = 9(8) - 15

df = 72 - 15

df = 57

Anyone know how to solve this?

Answers

Answer:

0,-5 is the marking if that's your answer to the question

Here are the awnsers

What is the constant of
12/a

Answers

Answer:

27

Step-by-step explanation:

Plz help!! I’ll give brainliest!

Answers

The value of Y =8
The value of RS = 6(8)+3 which would be 51
The value of ST 5(8)+9 which would be 49

Toy rubber balls are packaged in a cylinder that holds 3 balls. The diameter of each ball is 4.5 cm. Find the volume of the cylinder. Use 3.14 for π. ​(Round to the nearest tenth as​ needed.)

Answers

Answer:

214.6 cm³

Step-by-step explanation:

Volume formula:

V = πr²h

Given:

d = 4.5 cmh = 3*4.5 cm

Find the volume:

V = 3.14*(4.5/2)²*(3*4.5) = 214.6 cm³ (rounded)

Answer :-

Total height = 4.5 × 4.5 × 4.5 = 91.125 cm

Radius = Diameter/2

Radius = 4.5/2 = 2.25 cm

Volume = πr²h

Volume = π (2.25)² × 91.125

Volume = π × 12.25 × 91.125

Volume = 1116.2 π cm³

2.5 ÷ 0.5

A 1.25
B. 2
C. 4.5
D. 5
E. 10

Answers

Answer

The answer is D. 5

Answer:

2.5/.5 = 5 Anything that is divided by 0.5 or 1/2 is double the number it's getting divided by. 2.5 doubled is 5

Step-by-step explanation:

What are are the domain and range of f(x) = (1/6)^×+2?​

Answers

38884utiitbfbxjdbdbdhjfbfbfhfjhd

what is the area of a rectangle which is 7.2cm by 3cm

Answers

Answer:

21.6cm^2

Step-by-step explanation:

area = length * breadth

= 7.2 * 3 = 21.6

what is the answer and the remainder for the problem
76,000 divided by 816
I NEED ANSWER ASAP PLEASE I BEG OF YOU

Answers

76,000/816=93.137
the remainder is 137

Answer:76000 divided by 816 equals

93 with a remainder of 112

Step-by-step explanation:    0 0 0 9 3

8 1 6 7 6 0 0 0

   − 0        

     7 6      

   −   0      

     7 6 0    

   −     0    

     7 6 0 0  

   − 7 3 4 4  

       2 5 6 0

     − 2 4 4 8

         1 1 2

What is the distance between (-2,4) and (0,2)

Answers

Answer:

(-2,6)

Step-by-step explanation:

I took the test

Answer: sqrt 8 = 2 sqrt2

Step-by-step explanation:

d = sqrt [(0–2)^2+(2-4)^2]

= sqrt (2^2 + -2^2)

= sqrt 8

Simplify: 2 sqrt2

Can someone please help me with this ty!!

Answers

HoPe iT hElPeD YoU FrIeNd

Find the output b when the input a is 6
B=-1 - 7a
B=

Answers

Answer:

-43

Step-by-step explanation:

If a = 6.

B= -1 - 7a. a=6. 7a=42

B = -1 - 42 = -43

soultion for 3x-5=2x+3-(x-4)​

Answers

Answer:

6

Step-by-step explanation:

Initial problem:

3x - 5 = 2x + 3 - (x - 4)

First, distribute the minus sign to the parentheses:

3x - 5 = 2x + 3 - x + 4

Next, combine like terms:

3x - 5 = x + 7

Subtract x from both sides:

2x - 5 = 7

Add 5 to both sides:

2x = 12

Divide both sides by 2:

x = 6

helpppp with geometry plzzz

Answers

Step-by-step explanation:

a) given slope=m1=4/b

parallel slope=m2=-8

when two lines are parallel their reltion of slopes is:

m1=m2

4/b=-8

b=-4/8

b=-1/2

b) m1=4/b , m2=3/4

when slopes are perpendicular their relation of slopes is:

m1×m2=-1

4/b × 3/4=-1

3/b=-1

b=-3

Note:if you need to ask any question please let me know.

What value of b makes the expression x^2 + bx + 4 a perfect square?
1
0
2
4

Answers

Answer:

b=4 makes the equation a perfect square.

Step-by-step explanation:

As long as you factorize out the equation, you'll get a result of (x+2)^2. This multiplied using foil gives you, x^2 + 2x + 4. Making it a perfect square. You could also have -2 = b which makes a perfect square, but that's not in the options.

Answer:

4

Step-by-step explanation:

The constant term 4 is obtained by

adding (half the coefficient of the x- term)²

4 = 2²

Then b = 4

x² + 4x + 4 = (x + 2)² ← a perfect square

What is the product of 3x+4 and 6x^{2} −5x+7?

Answers

Step-by-step explanation:

[tex](6x^2-5x+7)(3x+4)[/tex]

[tex]=(6x^2-5x+7)(3x)+(6x^2-5x+7)(4)[/tex]

[tex]=(6x^2)(3x)+(-5x)(3x)+(7)(3x)+(6x^2)(4)+(-5x)(4)+(7)(4)[/tex]

[tex]=18x^3-15x^2+21x+24x^2-20x+28[/tex]

[tex]=18x^3+9x^2+x+28[/tex]

If DE = 4 x + 10, EF = 2 x -1, and DF = 9 x - 15, what is the length of DF?

Answers

Answer:

DF = 57

Step-by-step explanation:

DE + EF = DF

(4x + 10) + (2x - 1) = 9x - 15

Combine like terms on the left side

6x + 9 = 9x - 15

Subtract 6x on both sides

9 = 3x - 15

Add 15 on both sides

24 = 3x

Divide by 3 on both sides

x = 8

DF = 9x - 15 = 9(8) - 15 = 72 - 15 = 57

Checking:

(4(8) + 10) + (2(8) - 1) = 9(8) - 15

(32 + 10) + (16 - 1) = 72 - 15

58 - 1 = 72 - 15

57 = 57

Answer:

DF= DE+EF

9x–15 = (4x+10)+(2x-1)

9x–15 = 6x +9

9x–6x= 9+15

3x = 24

x=24/3

x=8

DF = 9x –15 = 9(8)–15= 72 –15 = 57

So; DF = 57

I hope I helped you^_^

Diagram 6 shows a rectangle KLMN.

It is given that tan x = 0.8. Find the length, in cm, of LM.
A 16
B 20
C 24
D 26

HELP ME PLS​

Answers

Answer:

LM = 24 cm

Step-by-step explanation:

Using the tangent ratio in the right triangle to find JL

tan x = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{JL}{KL}[/tex] = [tex]\frac{JL}{10}[/tex] = 0.8 ( multiply both sides by 10 )

JL = 8

Then

LM = JL + JM = 8 + 16 = 24 cm

Needs helps with this

Answers

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

Name the marked angle ( < KLI ) in 2 different ways

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

You can name the angle as < ILK too.Why? Well, to name an angle you only need to focus on keeping the vertex of the angle (the middle point where the angle gets formed) in the middle while naming. In this case the vertex is L. Then you can just shift the places of the 2 arms of the angle ( I & K ) & yea, then you'll get the name of the angle as < ILK.

Pls help me I’m not very smart

Answers

Answer:

39.90

Step-by-step explanation:

multiply 95x42, ur not smart if you think u arent.

39.90 is the answer keep up the work

write as a single fraction in it's simplest form:


[tex]x - 8 \div x + 3x \div x + 1[/tex]

Answers

Answer:

-8/3x

Step-by-step explanation:

-8 / 3x / 1

-8 / 3x

.....

..

Simplify (9m^5n^-7)
________ without negative exponents
27m^6n^5

Answers

Answer:

[tex]9m^5n^-7[/tex]  = [tex]\frac{ 9m^5}{n^ 7}[/tex]

Step-by-step explanation:

when is it hard to show if a set is closed or not closed?

Answers

One way to determine if you have a closed set is to actually find the open set. The closed set then includes all the numbers that are not included in the open set. For example, for the open set x < 3, the closed set is x >= 3. This closed set includes the limit or boundary of 3

a rectangular field has a length of 485 meters and a width of 155 meters how much would it cost to fence the field at £14 a meter

Answers

Answer:

£17920

Step-by-step explanation:

total length of the field = 2(155+485) = 1280m

cost = 1280 * 14 = 17920

Evaluate each of the following expressions for x = 10, y = 5 and z = 2​

Answers

Answer:

5x2=10.This is less informative but there was no equation soooo

Step-by-step explanation:

Or y x z = 10/ ×

[tex]\huge\text{Hey there!}\\\\\bullet\huge\textsf{ Assuming the equations is: \underline{x + y + z} or \underline{xyz}}\\\\\\\huge\textsf{If \text{x + y + z}}\\\huge\text{x + y + z}\\\huge\text{= 10 + 5 + 2}\\\huge\text{= 15 + 2}\\\huge\text{= 17}\\\huge\boxed{Possible\ answer\ \#1: 17}\\\\\huge\textsf{If xyz}\\\huge\text{xyz}\\\huge\text{= 10(5)(2)}\\\huge\text{= 50(2)}\\\huge\text{= 100}\\\huge\boxed{Possible\ answer\ \#2: 100}\\\\\\\\\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Which Equations Represent linear Functions? (pick all that apply)

A: y=x
B: y=2x
C: y=x^2
D: y=2/x

Answers

A and b are both linear functions!! Next time just graph them on desmos!

What is the largest number that can be made with 1,6,2,8,7,8

Answers

Answer:

the answer is 887621

hope this helps

have a great day ahead!

Find the area of the following figure. ​

Answers

Diagonal=3√2cm

[tex]\\ \sf\longmapsto side=\dfrac{Diagonal}{\sqrt{2}}[/tex]

[tex]\\ \sf\longmapsto Side=\dfrac{3\sqrt{2}}{\sqrt{2}}[/tex]

[tex]\\ \sf\longmapsto Side=3cm[/tex]

Now

[tex]\\ \sf\longmapsto Area=(side)^2[/tex]

[tex]\\ \sf\longmapsto Area=(3)^2[/tex]

[tex]\\ \sf\longmapsto Area=9cm^2[/tex]

A scientist has 3^15 cells in a container. She expects the number of cells to triple in on day. How many cells will the scientist have after one day? Show your work or explain your reasoning

Answers

Answer:

3^16 cells

Step-by-step explanation:

The scientist has 3^15 cells. If we triple the number of cells, we multiply this amount by 3

3 * 3^15 = 3^1 * 3^15

Remember your laws of exponents: we add the exponents here.

3^(1+15) = 3^16

How many solutions are there to the equation below?
14x + 5 = 14x-19
A. 1
B. infinitely many
C. O

Answers

I think it’s B I’m not to sure but I know someone with that exact solution
Other Questions
Factor the polynomial by its greatest common monomial factor9b^8+24b^3 please help me quickly and explain your answer (i have a guess on which is incorrect but im not sure) Tickets to the county fair cost $12 for each adult and$7 for each child write and evaluate an expression to find the cost for 3 adults and 6 children write a comment on 'environment pollution' PLEASE HELP COMPARING RATIOS pelase asnwer da question 4. Who was the ruler of medieval India who is credited with the building of the Grand Trunk Road? a. Babur b. Krishnadeva Raya c. Jahangir d. Sher Shah Suri Pilantunning Guys for one of my math questions it is "show as many subtraction fraction questions that you can think of that equal 3/10 Which of thefollowing numbersfalls between 8 and 9on the number linesquare root of 75 or square root of 100? Sameer had $600 in his savings account. He wants to have at least $100 in the accountby the end of the year. He withdraws $20 a week for expenses. How many weeks canSameer withdraw money? Important! When you multiply or divide by a negativenumber, the inequality sign reverses.>+ What's the resolution of the murders in the rue morgue? After the game, the team danced in a huddle.Select one:t ofa. phraseb. independent clausec. subordinate clause Simplify -4+8-2 and 8-(-3)-5 What is the solution to the system of equations below?y = -5x - 14x - 7y = 7 reasons why digestion of lipids does not occur in the mouth or stomach Which one of the following communication events is the best example of performance?a.Group of answer choicesb.a person telling a joke to their best friendc. a textbookd. a conversation between a brother & a sister about an upcoming surprise party for their fathere. a chart showing a banks quarterly profitsf. a monthly newsletter Explain what rambling meansmake a sentence with it As an ecosystem goes through succession, which of the following is likely tohappen:A. Increase in biodiversityB. Ecosystem will trigger Secondary SuccessionC. Decrease in competitionD. Decrease in niches hai tnh cht no ca enzymes gip n tr thnh cht xc tc c bit ? Worth 30 points help plz!Graph the solution of the inequality 3(x + 1) 6 on the number line.Group of answer choicesFilled circle at -1 shading to the rightFilled circle at -3 shading to the leftFilled circle at -1 shading to the leftFilled circle at -3 shading to the right