Mathematics High School

Simplify
2^4 x 2^3/
2^5 x 2^4
leaving your answer in index form.

Answers

Answer 1

Answer:

2^-2

Step-by-step explanation:

When multiplying indices or exponents with the same base number, you can add the powers:

2^4 x 2³ = 2^7 (4 + 3 = 7)

2^5 x 2^4 = 2^9 (5 + 4 = 9)

When dividing indices or exponents with the same base number, you can subtract the powers:

2^7 ÷ 2^9 = 2^-2 (7 - 9 = -2)

Related Questions

The sum of the ages of Alice, Barbie & Cindy is 30. Alice is four times older than Cindy. Barbie is 3 years older than Alice. How old is Cindy?

A. 12
B. 21
C. 9
D. 3
E. 15​

Answers

D.

Explanation

because the number have 3

Step-by-step explanation:

A+B+C = 30

A = 4C

B = A+3

=> 4C+4C+3+C = 30

9C + 3 = 30

9C = 30-3

9C = 27

C = 3

Therefore, the age of Cindy is 3 years old

(option D)

standard form of (x+4)(x-6

Answers

(x+4)(x-6)
x^2 - 6x + 4x - 24
X^2 - 2x - 24

2. Find the value of x.
(1 point)
(5x)
(3x+28)
O 14
O20
O 12
O 19

Answers

Answer:

x = 14

Step-by-step explanation:

The triangle has 2 congruent legs and is isosceles with 2 base angles being congruent , then

5x = 3x + 28 ( subtract 3x from both sides )

2x = 28 ( divide both sides by 2 )

x = 14

Find the missing side of the length, s. I need help!

Answers

Answer:

s = 12

Step-by-step explanation:

Since the triangles are similar then corresponding sides are in proportion, that is

[tex]\frac{AB}{XY}[/tex] = [tex]\frac{AC}{XZ}[/tex] , substitute values

[tex]\frac{6}{9}[/tex] = [tex]\frac{8}{s}[/tex] ( cross- multiply )

6s = 72 ( divide both sides by 6 )

s = 12

All of the cheese slices at Chester's Cheesy Cafe have the same mass.
Chester finds that the total mass of 3 cheese slices is 27 grams.
What is the mass of one of the cheese slices?
grams

Answers

Answer: 1 slice is 9 grams

If 3 is 27 to find one slices you need to dived by 3.

3 slices divided by 3 slices is one slice.

27 grams divided by 3 is 9

So one slice is 9 grams

(02.01)Which translation will change figure ABC to figure A'B'C'?

3 units right and 3 units up

4 units right and 3 units up

4 units right and 4 units up

4 units left and 3 units down

Answers

Answer:

4 units right and 3 units up.

Step-by-step explanation:

how to solve

2(x+6)=4

x=?

Answers

Answer:

[tex]x=-4[/tex]

Step-by-step explanation:

[tex]2(x+6)=4~(Given)\\\\2x+12=4~(Distribute~2~to~x+6)\\\\2x+12-12=4-12~(Subtract~12~on~both~sides)\\\\2x=-8~(Simplify)\\\\\frac{2x}{2}=\frac{-8}{2}~(Divide~2~on~both~sides)\\\\x=-4~(Simplify)[/tex]

Answer:

[tex]\boxed {x=-4}[/tex]

Step-by-step explanation:

[tex]2(x+6)=4[/tex]

Divide both sides by 2 :

[tex]\cfrac{2\left(x+6\right)}{2}=\cfrac{4}{2}[/tex][tex]x+6=2[/tex]

Subtract 6 from both sides:

[tex]x+6-6=2-6[/tex][tex]x=-4[/tex]

______________________

Please help me due in an hour

Answers

Answer:

Ok so it would be square root 1

Step-by-step explanation:

What is \frac{1.88x10^6}{2000} in scientific notation?

Answers

Answer:

Its actually 9.4 × 10²

Step-by-step explanation:

Sally left the city for vacation. Sara left 5 hours later going 58 mph faster to catch up.
After 4 hours Sara caught up. What was Sally's average speed.
O 72.5 mph
O 54.6 mph
0 46.4 mph
0 64.5 mph

Answers

Answer:46.2

Step-by-step explanation:

hope this helps

2x2 + 2x-4?
Which expression is equivalent to
2x2 - 4x + 2
X+2
X-1
X-2
o – 2
x+2
X-2

Answers

Answer:

2x^2 +2x-4
——————
2x^2-4x+2

Factor out 2 from the expression

2(x^2+x-2)
—————-
2(x^2-2x+1)

Write x as a difference

2(x^2x-x-2)
—————-
2(x^2-2x+1)

Use a^2-2ab+b^2=(ab)^2

2(x^2x-x-2)
—————-
2(x-1)^2

Reduce the fraction with 2

x^2x-x-2
—————-
(x-1)^2

Factor out x from the expression

X*(x^2)-x-2
—————-
(x-1)^2

Factor out negative sign from the expression

X*(x+2)-(x-2)
—————-
(x-1)^2

Factor out x+2 from the expression

(x+2)(x-1)
—————-
(x-1)^2

Simplify the expression

x+2
——
x-1

A rectangle has dimensions x and x + 5. Determine the value of x that gives the rectangle an area of 36 cm^2.

a) 9
b) 4
c) 6
d) none of these

Answers

none of these i guess

Consider the line y=-1/2x+9
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?

Answers

Answer:

Parallel line: - 1/2

Perpendicular line: 2

Step-by-step explanation:

Please show the process of your result. Thank you! :D

Answers

Answer:

[tex]3\sqrt{7}[/tex] Is correct answer

Step-by-step explanation:

In pic

(Credits: Symbolab)

(Hope this helps can I pls have brainlist (crown)☺️)

Number of College Faculty The number of faculty listed for a variety of private colleges that offer only bachelor’s degrees is listed below. Use these data to construct a frequency distribution with 7 classes, a histogram, a frequency polygon, and an ogive. Discuss the shape of this distribution. What proportion of schools have 180 or more faculty?

Answers

Answer: Number of College Faculty The number of faculty listed for a variety of private colleges which offer only bachelor’s degrees is listed below. Use these data to construct a frequency distribution with 7 classes, a histogram, a frequency polygon, and an ogive. Discuss the shape of this distribution. What proportion of schools have 180 or more faculty? 165 221 218 206 138 135 224 204 70 210 207 154 155 82 120 116 176 162 225 214 93 389 77 135 221 161 128 310 Source

please help! i need i misses 2 lessons

Answers

Answer:

just add 1/6 and 2/3 to 650

Step-by-step explanation:

Please give a detailed explanation

Answers

[tex]\displaystyle \large \boldsymbol{} (7 \sqrt[5]{6x-10}) ^2 +\backslash\!\!\!8=\frac{49}{x^{-\tfrac{2}{5} }} +\backslash\!\!\!8 \\\\\\ 49\!\!\!\! \diagup \sqrt[5]{(6x-10)^2} = 49\!\!\!\! \diagup \cdot \sqrt[5]{x^2} \ \ ; \\\\\\ (6x-10)^2=x^2 \\\\ (6x-x-10)(6x+x-10) =0 \Rightarrow x_1=2 \ ; \ x_2=\frac{10}{7 }[/tex]

Dalawang batong itim

Answers

Sa tabi mo.

[tex] \: \: [/tex]

Step-by-step explanation:

I havenot understand queation

∠2≅∠4, m∠2=110°. Find the measures of angles 1, 3, and 4 and explain how you know.

Answers

Answer:  ∠1 =70° ;   ∠3 = 70° ;  ∠4 = 110°

Step-by-step explanation:

∠2 ≅ ∠4 = 110°                       [exterior alternate angles are equal]  

∠1 = 180° - 110° = 70°             [since angles on a line have a sum of 180°]

∠1 = ∠3 = 70°                        [since vertically opposite angles are equal]

I got ace in a week i felt so happy i wanna give someone branliest

2+2

Answers

Answer:

4

Step-by-step explanation:

2 plus 2 equals 4 lmk if you need more help

Answer:

4

Step-by-step explanation:

What did I do wrong 1st person answer get brainlist

Answers

Answer: you got the subtracted wrong.

Step-by-step explanation: 115 - 101 = (14)

you said 13

A car rental agency charges $75 per day, which includes 100 miles. For each mile over 100 miles, there is an additional cost of $0.35 per mile.

Write an equation relating m, the number of miles driven, if the total cost for a one-day rental was $131.

Answers

Answer:

Answer for part b is ≈274 miles

Step-by-step explanation:

No idea what the equation is ‍

Answer:

The number of miles, m driven if the total cost for a one-day rental was $131 is; m = 160

Step-by-step explanation:

(a) What additional information is needed to prove the triangles are congruent by ASA Postulate? Explain.
(b) What additional information is needed to prove the triangles are congruent by the HL Theorem? Explain.

Answers

Answer:

A)

The Angle-Side-Angle Postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

B)

H-L (Hypotenuse-Leg) Congruence Theorem. If the hypotenuse and leg in one right triangle are congruent to the hypotenuse and leg in another right triangle, then the two triangles are congruent.

Hope this helped

PLEASE HELP ITS DUE REALLY SOON AND IM REALLY DESPERATE JUST ANSWER ANY QUESTION THAT YOU CAN AND PLS TELL ME WHICH ONE IT WAS. I WILL GIVE BRAINLIEST 5 STARS AND A THANKS PLS OMG :C SORRY THERE IS NOT A LOT OF POINTS :cCC

Answers

4. A: y= 2x + 6

B: y= x + 9

5. (3,12)

6. C: a pizza with 3 toppings will equal $12 at either restaurant

Express the ratio of 300 miles to 25 gallons of gasoline as a untie rate
Answers:
12 miles per gallon
1.2 miles per gallon
50 miles per gallon
32 miles per gallon

Answers

Answer:

12 miles per gallon (answer A)

Step-by-step explanation:

300:25

Divide each side by 25:

12:1

12 is your answer

Hope that helps

Which equations have the same pair of solutions? Select all that apply.

n(n + 3)(n - 4) = 0
2n(4n + 6)(6n - 4) = 0
0 = 2n(6 - 4n)(4 - 6n)
0 = n(2n + 3)(3n - 2)
2n(2n + 3)(3n - 2) = 0
3n(6n + 9)(9n - 6) = 0

Answers

2, 4, 5 and 6. That is the order of equations

Which statement BEST compares the growth of the two functions shown in the table?
A
The value of the exponential function will never be greater than the linear
function
B)
The value of the linear function will never be greater than the exponential
function
The value of the linear function will eventually be greater than the
exponential function
D)
The value of the exponential function will eventually be greater than the
linear function

Answers

Answer will be (D)

The value of the exponential function will eventually be greater than the

linear function.

and

B)

The value of the linear function will never be greater than the exponential

function

Which of the following ratios are equivalent to the ratio 8 : 7?

Answers

Answer: 0.875 or 56/49

Step-by-step explanation:

Evaluate for a:

69 = 13 - 7/12a

Answers

Answer:

-96

Step-by-step explanation:

69-13=13-7/12a-13

56=-7/12a

56 times 12=-7/12 times 12

672=-7a

Move negative over

-672=7a

-672/7=a

a=-96

Jaya is saving up for a computer.she babysits 3 days a week .however she spends $2 each day on gas to get there . If she makes a total of $84.00 in a week how much does she make babysitting each day

Answers

Answer:

28$

Step-by-step explanation:

She spends 14 dollars a week (7 days x 2$), and if she ends a week with 84$, she makes 28$ a day. This is unincluding the 14$ she spends on gas.

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