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

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

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

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

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

Answers

38884utiitbfbxjdbdbdhjfbfbfhfjhd

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:

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

What is the constant of
12/a

Answers

Answer:

27

Step-by-step explanation:

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

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.

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

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

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

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

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]

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^_^

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

Can someone please help me with this ty!!

Answers

HoPe iT hElPeD YoU FrIeNd

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

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

.....

..

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

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

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

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

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!

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]

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.

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:

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 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]

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

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