Miguel did the following math problem: 6^5 ∙ 6^4 = 36^9.

Which of the following is a true statement?

He is correct.
He is incorrect because he should have subtracted the exponents.
He is incorrect because he should have multiplied the exponents.
He is incorrect because he multiplied the bases.

Answers

Answer 1

Answer:

He is incorrect because he multiplied the bases.

Step-by-step explanation:

[tex] \huge 6^5 ∙ 6^4 = {6}^{5 + 4} = {6}^{9} [/tex]

He is incorrect because he multiplied the bases.


Related Questions

The equation 2x-7=5+x has exactly one solution. True or false

Answers

Answer:

True

Step-by-step explanation:

x=5+7=12

The only solution is x=12.

The surface area of Earth is approximately 5.1 x 108 km2. The surface area of Jupiter is approximately 6.2 x 1010 km2. Approximately
how many times larger is Jupiter's surface area than Earth's surface area?
A 8
B 12
C 80
D 120

Answers

Answer:

The correct answer is: Option D: 120

Step-by-step explanation:

Given that

[tex]S_E = 5.1*10^8\ km^2\\S_J = 6.2*10^{10}\ km^2[/tex]

In order to find how much larger is the area of Jupiter we will divide the surface area of Jupiter by the Surface area of Earth. First of all we will have to equate the exponents of 10 so that the cutting can be done

Now,

[tex]= \frac{S_J}{S_E}\\= \frac{6.2*10^{10}}{5.1*10^8}[/tex]

10^10 can be written as: 10^8*10^2

[tex]=\frac{6.2*10^2*10^8}{5.1*10^8}\\= \frac{6.2*100}{5.1}\\=\frac{620}{5.1}\\=121.5686[/tex]

Closest to 121 is 120.

Approximately Jupiter's surface area is 120 times larger then Earth's surface area.

Hence,

The correct answer is: Option D: 120

NEED HELP ASAP!!!! PLEASE HELP!!!!

Answers

Answer:

1/9a

Step-by-step explanation:

i used math.way lm.ao hope it helps

a=zm+z solve for m please help!!!!!

Answers

Answer:

(a-z)/z = m

Step-by-step explanation:

a = zm+z

Subtract z from each side

a-z = mz+z-z

a-z = mz

Divide by z

(a-z) /z = mz/z

(a-z)/z = m

Simplify 1/2+2/3-1/4

Answers

Answer:

11/12

Step-by-step explanation:

4 6/7 + 3 5/7 please help me

Answers

Answer: The answer is 60/7 or in mixed number form it is 8 4/7...

to make it easier, all you do is make the fractions improper and then add... If they didn't have the same denominator then you would make them have the same denominator. But they already have the same denominator... Or in other words convert the fractions into improper fractions, then find the LCD and combine... 34/7+26/7

34+26/7

60/7

decimal form: 8.571428

mixed number form: 8 4/7

Hope this helps... Stay safe and have a great day/night!! :D

Answer:

about 8.6, or 8.57142857143

Step-by-step explanation:

4 6/7 + 3 5/7

= 28+6/7 + 21+5/7

= 34/7 +26/7

= 60/7

= about 8.6

Simplify the following square root:
240
O 1615
O The square root cannot be simplified.
0 4/15

Answers

i don’t think this exact answer is there

Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation. (-5, -8): y = - 3x + 2​

Answers

Given:

The equation of line is

[tex]y=-3x+2[/tex]

To find:

The equation of line parallel to given line and passes through (-5,-8).

Solution:

Slope intercept form of a line is

[tex]y=mx+b[/tex]

where, m is slope and b is y-intercept.

On comparing the equation [tex]y=-3x+2[/tex] with the slope intercept form, we get

[tex]m=-3[/tex]

Slope of given line is -3.

Slope of two parallel lines are same. So, the slope of parallel line is -3.

Equation of line passes thorough the point (-5,-8) with slope -3 is

[tex]y-y_1=m(x-x_1)[/tex]

where, m is slope of the line.

[tex]y-(-8)=-3(x-(-5))[/tex]

[tex]y+8=-3(x+5)[/tex]

[tex]y+8=-3x-15[/tex]

Subtract 8 from both sides.

[tex]y=-3x-15-8[/tex]

[tex]y=-3x-23[/tex]

Therefore, the equation of required line is [tex]y=-3x-23[/tex].

there are 9 girls for every 2 boys in art class. if there are 18 girls how many boys are there?

Answers

4. basically just multiplied both of them by 2.

determine the solution you would have if you get 3=1/3
A.no solution
B.one solution
C.infinte solution=identity

Answers

Answer:

C

Step-by-step explanation:

im in harvard

the answer is c hope it helps

please help! i’ll mark brainliest!!!

Answers

Answer:

(6+x)(5+x)

Step-by-step explanation:

express 0.0003 in Scientific notation by counting decimal places

Answers

Answer:

When we write numbers in scientific notation, we must put the first non-zero digit ahead of the decimal.  In this case, the decimal would be behind the 3. Because we moved the decimal places four times to the right, our exponent will be 4. Thus,

3.00 x 10⁻⁴

we can express 0.0003 as 3 × 10⁻⁴ in scientific notation.

To express 0.0003 in scientific notation, we count the number of decimal places from the original number until we have a single non-zero digit before the decimal point. In this case, we have four decimal places before the non-zero digit (3).

Thus, we can express 0.0003 as 3 × 10⁻⁴ in scientific notation. The negative exponent (-4) indicates that we move the decimal point four places to the left to obtain the original value.

In summary, by counting the decimal places, we can express 0.0003 as 3 × 10⁻⁴ in scientific notation.

Learn more about scientific notation here

https://brainly.com/question/5400161

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Skylar is going to invest in an account paying an interest rate of 3.5% compounded daily. How much would Skylar need to invest, to the nearest hundred dollars, for the value of the account to reach $670 in 10 years?

Answers

Answer:

$475.17

Step-by-step explanation:

Step one:

given data

rate= 3.5% = 0.035

final amount A= $670

time= 10 years

Required

The principal invest P

Step two:

A= P(1+r)^t

substitute

[tex]670=P(1+0.035)^1^0\\\\670=P(1.035)^1^0\\\\670=P*1.41[/tex]

divide by 1.41

[tex]P= 670/1.41\\\\P=475.17[/tex]

The invested principal is $475.17

Answer:

500

Step-by-step explanation:

its on delta math

does anyone have the chance to help me ? :( im running out of points

Answers

Answer:

a) ∠BAC = 30°b) ∠B = 120°c) ∠BAG = 150°

Step-by-step explanation:

2x + 18 = 5x

18 = 5x - 2x

3x = 18

x = 6

a)  find m∠BAC

substitute x=6 to ∠BAC

∠BAC = 2x + 18

          = 2(6) + 18

          = 30°

b)  find m∠B

∠B = 180 - ∠A - ∠C

    = 180 - 30 - 30

     = 120°

c) find m∠BAG

∠BAG = 180 - ∠A

          = 180 - 30

          = 150°

What is the ratio of 1.5 inch screws to 2.5 inch screws?

Answers

Step-by-step explanation:

1.5 : 2.5

= 1.5/2.5

15/25

3/5

the ratio is 3 : 5

The ratio of 1.5-inch screws to 2.5-inch screws is 3/5.

Given,

- 1.5 inch screws

- 2.5-inch screws

We need to find what is the ratio of 1.5-inch screws to 2.5-inch screws.

What are ratios?

Ratios are denoted by A:B.

Example: 1/2, 3/4

If two ratios are equal we called the ratios are in proportion.

Example:

1/2 and 5/10

5/10 = 1/2

We have,

1.5 and 2.5

We can write it as:

= 1.5 : 2.5

= 1.5 / 2.5

= 150 / 250

= 15/25

= 5x3 / 5x5

= 3/5

Thus the ratio of 1.5 and 2.5 is 3/5,

Learn more about how to find equivalent ratios here:

https://brainly.com/question/2462048

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Giovanni spent a total of $13.75 bowling. He rented bowling shoes for $2.50 and bowled 3 games. Each game cost the same amount. Create an equation that can be used to determine g, the cost of dollars of each bowling game.

Answers

It’s $13.75=3x-$2.50 -> $11.25=3x -> $3.75=x
X=g

A boat took 2 hours to travel 24km down a river. And 3 hours to travel back upstream. Find the spread of the boat in still water at the speed of the current.

Answers

If 2hours=24km
3hours=3hours/2hours*24km
=3*12
=36km

(–3i) (4i)(–5i)
a
60i3
b
60i
c
60
d
−60i

Answers

Answer: -60i

Step-by-step explanation:

(-3i) (4i) = -12i^2 = 12 because i^2 = -1

then lastly

12 (-5i) = -60i

HELP I need to fine the slope-intercept form. Please it’s a timed assignment I only have two try’s and I already used one

Answers

Answer:

5. y = -1/2x + 6

6.  y = 1/2x + 150

7. y = 10x + 20

8. y = 25x

Step-by-step explanation:

Look at the y-intercept and eliminate the answers you dont need.

Then find the slope of each.

Un groupe d'amis décide d'organiser une sortie au restaurant. Ils prennent contact avec un restaurateur qui leur propose une formule à 20 € par convive. Le jour de la sortie, cinq personnes ne peuvent venir. Les participants doivent alors payer 22 € par personne. Combien de personnes étaient initialement prévues ?

Answers

Answer:

55

Step-by-step explanation:

Assuming that, initially, there were x people at the time of planning.

As given that, initially, the cost for 1 person = € 20

So, Total cost = € 20x ...(i)

As on the day of the outing, five people cannot come, so the number of people on the outing = x-5.

Now, due to the lesser number of people, i.e (x-5), the cost for 1 person = € 22.

Total cost = € 22(x-5) ...(ii)

As total cost remains the same, so equation the total cost from equations (i) and (ii), we have

[tex]20x= 22(x-5) \\\\\Rightarrow 20x=22x-22\times 5 \\\\\Rightarrow 22x-20x= 110 \\\\\Rightarrow 2x=110 \\\\\Rightarrow x=110/2=55.[/tex]

Hence, at the time of planning, there were 55 people.

For many of us, the thought of snow brings hopes of snow days, sledding or skiing. For others it means traffic jams and shoveling. Unfortunately for Roger's father, he is in this second category. It usually takes Roger's father 35 minutes to get to work. However, after the snowstorm it took him an hour and 15 minutes to get to work. What was the percent increase in his commute time to work? Express your answer to the nearest whole number.

Answers

Answer: 114%

Step-by-step explanation:

From the question, we are informed that it usually takes Roger's father 35 minutes to get to work but that after the snowstorm it took him an hour and 15 minutes to get to work.

We should first convert 1 hour, 15 minutes to minutes. Since 60 minutes = 1 hour; Therefore, 1 hour, 15 minutes = 60 minutes + 15 minutes = 75 minutes.

The percent increase in his commute time to work will then be:

= [(75 - 35) / 35] × 100

= 40/35 × 100

= 114.28571%

= 114%

The percentage increase is 114%.


An orange grove has 858 trees. There are 33 rows each with the same number of trees
Hon many trees are in each rows?


Answers

Answer:

26

Step-by-step explanation:

If each row has an equal number of trees, you would divide the total number of trees by the number of rows. 858/33 is 26

Answer:

26

Step-by-step explanation:

858 divided by 33 equals 26.

Can someone help me on this

Answers

Answer:

a=3*3*3*3*3=243

b=2*2*2*2=16

c=10*10*10=1000

Step-by-step explanation:

help me plzzzzzzzzzz ​

Answers

Answer:  Not congrute

Step-by-step explanation:

Answer:

B (SSS)

Step-by-step explanation:

Congruent by postulate side side side.

Please help I’ll give you guys brainiest!


Thank youuuuuuu :))

Answers

Answer:

what are you supposed to solve for?

Step-by-step explanation:

Answer:

Can anyone say what are we supposed to ans or solve

4x + 5 = 6x - 2 need help answering this

Answers

Answer:

[tex]x=\frac{7}{2}[/tex]

Step-by-step explanation:

Step-by-step on how to solve it is in the image below.

Hope this helps! :)

Answer:

hi here is answers

Step-by-step explanation:

Exact Form:  x = 7/2

Decimal Form: x = 3.5

Mixed Number Form x = 3 1/2

hope this helps, have a great day

Help please thank you

Answers

i think it’s the last one
130 degrees is the answer

answer quick plz!
It costs $12 to attend a golf clinic with a local pro. Buckets of balls for practice during the clinic cost $3 each. How many buckets can you buy at the clinic if you have $30 to spend?

Answers

32kjsosbk oh he boo bdbsidlxbxodidbdkdbi

Justin has 2 red marbles, 7 blue marbles, and 5 green marbles. How many total marbles does Justin have?

Answers

Answer:

14

Step-by-step explanation:

2+7+5

Answer:

14 total marbles.

Step-by-step explanation:

I'm pretty sure we are supposed to use addition, so

2 red marbles + 7 blue marbles + 5 green marbles = 14 marbles

Hope this helps!

In the slope-intercept form, which variable
represents the slope/measure of change?

Answers

Step-by-step explanation:

Hey there!

We know that the slope intercept is; y = mx+b.

Where "m" represents the slope. And "b" represents the y-intercept.

Example:

If the question is as; y = 3x +8

Then your slope of the slope intercept form is "3" where as "8" is y-intercept.

So, the variable"m" represents the slope.

Hope it helps...

Step-by-step explanation:

Hey there!

We know that the slope intercept is; y = mx+b.

Where "m" represents the slope. And "b" represents the y-intercept.

Example:

If the question is as; y = 3x +8

Then your slope of the slope intercept form is "3" where as "8" is y-intercept.

So, the variable"m" represents the slope.

Hope it helps...

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