Mathematics High School

simplify

7^8 x 7^3 x 7^4
---------------------
7^9 x 7^5​

Simplify 7^8 X 7^3 X 7^4--------------------- 7^9 X 7^5

Answers

Answer 1

Step-by-step explanation:

According to the power law of indices, when base numbers are the same and multiplying,add their exponents but when base numbers are the same and dividing, subtract their exponents.

Applying the above rule to the numerators,we have 7^(8+3+4)=7^15

Applying to the denominators we have,

7^(9+5)=7^14

Now we have 7^15/7^14=7

Related Questions

If two angles of a traingle measure 54° and 77° what is the measure of the third angle

Answers

Answer:

49°

Step-by-step explanation:

The total sum of angles in a triangle is 180°. You already know two of the angles, so you can find the last one.

Third angle = 180° - 54° - 77°

                   = 49°

Describe the transformation of the graph y = (x)^3 + 6

Answers

The graph of y = x^3 + 6 is the result of shifting y = x^3 up 6 units

If f(x) = x^3, then g(x) = f(x) + 6 leads to g(x) = x^3+6.

The reason we shift up 6 is because we're adding 6 to the y coordinate.

Think of y = f(x), so f(x)+6 is the same as y+6.

what is 3231.07607315 rounded two decimal places​

Answers

Answer:

3231.08

Step-by-step explanation:

6 rounds up

Answer:

3231.08

Step-by-step explanation:

A car traveled 180 miles at a constant rate. Write an equation that would make it easy to find the rate at which the car was traveling in miles per hour r, if it traveled for t hours

Answers

Answer:

A. Distance travelled at constant rate = 180 miles

Rate of travel (r) = distance travelled (d) /time (t)

Travel time (hrs) ==> rate of travel (miles/hr)

5 ==> 180/5 = 36

4.5 ==> 180/4.5 = 40

3 ==> 180/3 = 60

2.25 ==> 180/2.25 = 80

B. t = time travelled in hrs,

r = rate (miles/hr)

d = distance travelled = 180

Answer:

180/t

Step-by-step explanation:

Speed=distance/time

ldentify the type of function represented by f(x)= 3(1.5)x.
A. Linear
B. Quadratic
C. Exponential decay
D. Exponential growth

Answers

Answer:

the function is represented by linear because the units are the same


We need to solve for x

Answers

15x=16x-7 and that is -7. so the answer is -7
That’s easy it’s -7

8% as a fraction in its simplest form

Answers

Answer:

8/100 Simplified is 2/25 in it's simplest form!

Step-by-step explanation:

Hope this helps! :)

Have a great day!

The number 8 % as a fraction in the simplest from is 2/25

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number be represented as A

Now , the value of A is = 8 %

So , the equation will be

The value of A = 8 %

Now , the value 8 percentage can be written as a fraction of 100

So , the value of A will be

The value of A = 8/100

Now , on dividing the numerator and denominator by 4 , we get

The value of A = 2 / 25

So , the value of A in the simplest form of the number A is 2/25

Hence , The number 8 % as a fraction in the simplest from is 2/25

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

What is the slope for this (-1,5) (2,-4)

Answers

Answer:

Slope = -[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

To find the slope, you have to calculate the rise over run between two points.

[tex]\frac{rise}{run}[/tex] = [tex]\frac{2-(-1)}{(-4)-5}[/tex]

     = [tex]\frac{3}{-9}[/tex]

     = -[tex]\frac{1}{3}[/tex]

The height h of a square pyramid can be determined from the equation h = l2−(s2)2−−−−−−−−√ , where l is the slant height of the pyramid and s is the side length of the square base. What is the slant height l of the square pyramid shown?

Answers

Answer:

I believe the answer is 34 cm (I may be wrong but I'm 98% that my answer is correct)

Step-by-step explanation:

(excuse my handwriting on the ss its hard to write on a computer lol)

hope this helps :)

Dominic invested $19,000 in an account paying an
interest rate of 6.1% compounded monthly. Assuming
no deposits or withdrawals are made, how much
money, to the nearest dollar, would be in the account
after 16 years?

Answers

Answer:

A≈50298

Step-by-step explanation:

solve the right angle trig problem.

Answers

Answer:

x = 9.23919

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Trigonometry

[Right Triangles Only] SOHCAHTOA[Right Triangles Only] tan∅ = opposite over adjacent

Step-by-step explanation:

Step 1: Define

We are given a right triangle. We can use trig to find the missing length.

Step 2: Identify Variables

POV from the angle measure

Angle = 57°

Opposite = x

Adjacent = 6

Step 3: Solve for x

Substitute:                    tan57° = x/6Isolate x:                       6tan57° = xEvaluate:                       9.23919 = xRewrite:                        x = 9.23919

9514 1404 393

Answer:

x ≈ 9.24H ≈ 11.02

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationships.

  Tan = Opposite/Adjacent

  tan(57°) = x/6

  x = 6·tan(57°) ≈ 9.24

__

The complete solution of the triangle will also find a value for H.

  Cos = Adjacent/Hypotenuse

  cos(57°) = 6/H

  H = 6/cos(57°) ≈ 11.02

_____

Comment on the figure

We note that, in relation to the given angle, the markings O and A are reversed. The side labeled 6 is adjacent (A) to the marked angle, and the side labeled x is opposite (O) to the marked angle.

What is value of 1/3 ÷ 1/12 *
4
1/4
1/36
1/6

Answers

Answer:

its the first one 4

please help its timed​

Answers

Answer:

no solutions

Step-by-step explanation:

Which pair of angles must be supplementary?
O 1 and 6
O 2 and 5
O 5 and 4
O Z6 and2

Answers

Where’s the image? There has to be an image showing the angles to see which pairs of angles are supplementary.

What is it? I don't understand it or know it.​

Answers

Answer:

3+6n=

Step-by-step explanation:

A number x with an exponent of -n means
blank. a) Find the nth root of x
b) Find the xth root of n
c) Take the reciprocal of x
d) Take the reciprocal of x to the nth power

Answers

Answer:

C) Take the reciprocal of x

Step-by-step explanation:

That's my answer

The area of the parallelogram below is _____ square meters.


Numerical answers expected!

Answers

Answer:

48

Step-by-step explanation:

Answer:

Yes, the correct answer is 48, the person above me is right :)

Step-by-step explanation:

6 x 8 = 48

1. Graham is hiking at an altitude of 14,040 feet
and is descending 50 feet each minute. Max is
hiking at an altitude of 12,500 feet and is
ascending 20 feet each minute. How many
minutes will it take Graham and Max to meet at
the same altitude ?
a. Equation:
1
2
. Solution:
2. At what altitude will Graham and Max meet?
3

Answers

Answer:  Equation 1 to find the time: A₁ - r₁t = A₂ + r₂t  Solve for t

14040 - 50t = 12500 + 20t     t is the number of minutes

Equation 2 to find the altitude: A₁ - r₁t = A₂ + r₂t  A₁ and r₁ are Grahams initial altitude and rate. Use given rates, calculated time and solve for A.

A₂ and r₂ are Max's initial altitude and rate.

They will meet in 22 minutes

They will meet at 12940 ft altitude

Step-by-step explanation:  Their original heights plus/minus the altitude change per minute (rate) and the time will be equal when they meet.

14040 - 50t = 12500 + 20t    subtract 12500 from both sides; add 50t to both sides.

14040-12500 = 20t + 50t

1540 = 70x

22 = t  They will meet in 22 minutes.  

To get the altitude where they meet, Multiply the time by the rate for each climber. Add or subtract per equation: A₁ - r₁t = A₂ + r₂t

14040 - 22(50) = 12500 + 22(20)

Graham: 22 min × 50ft/min = 1100 ft

Subtract from his starting altitude:

14040 - 1100 = 12940 ft

Max: 22 min ×20 ft/min = 440 ft

Add to his starting altitude

12500 + 440 = 12940 ft

Answer:

Answer:

M=22, hope this helps

Step-by-step explanation:

Set up Graham's altitude function A(m):

A(m) = 14040 - 50m <-- we subtract for descending

Set up Max's altitude function A(m):

A(m) = 12500 + 20m <-- we add for ascending

Set the altitudes equal to each other to solve for m:

14040 - 50m = 12500 + 20m

We type this equation into our search engine to solve for m and we get:

m = 22

There are 12 circles and 15 triangles. What is the simplest ratio of circles to triangles

Answers

Answer:

4:5

Step-by-step explanation:

Solve the following word problems using a system of equations. The sum of two numbers is 36. One number is two more than the other. Find the numbers.​

Answers

Answer:

24,12

Step-by-step explanation:

suppose,

x+y=36

x=2y

2y+y=36

y=12

x=24

I will give lotta points and brainly, find the area and plz make it correct

Answers

Answer:

The area of what?? Is there a picture or something to go with this...

Step-by-step explanation:

Also the area of a rectangle, square, or parallelogram is Base x Height

The area of a triangle is (base x height) ÷ 2

The area of a circle is πr²

The area of a hexagon is ([tex]\frac{3\sqrt{3} }{2}[/tex]) x length of 1 side

The area of a trapezoid is [(base 1 + base 2) ÷ 2] x height

If there is a shape inside of another shape, find the area of the smaller shape and subtract it from the area of the larger shape.

That's all I can do to help because I don't know what you want me to find the area of :/

what 25 time 358 divided by 1.6​

Answers

Answer:

5593.75

Step-by-step explanation:

Evaluate (-7)2.


p l e a s e
a n s w e r
q u i c k\

Answers

Answer:

(-7)2 = -14

Step-by-step explanation:

The parenthesis basically mean "multiply". So, this is a simple equation meaning -7 x 2. And remember, anytime we multiply a positive by a negative, you get a negative. So, simply multiply 7 x 2 = 14 and add a negative sign to make the solution true. So, -7 x 2 or (-7)2 = -14

Hope this helps! If you have any additional questions, please don't hesitate to ask me or your teacher to be sure you master the subject. Also thank you for the generous points!! Stay safe and please mark brainliest!!

Answer:

-14

Step-by-step explanation:

just act as if -7 were positive then you know 7x2 = 14 cause' "()" means multiplication.

last, since 7 was negative in the first place then you turn your product back to a negative and you get -14

mark brainliest :)

Help pls
Solve one step equation
-6x - 13 =23

Answers

Answer:

x=-6

Step-by-step explanation:

Answer:

x = -6

Step-by-step explanation:

move the 13 to the right side of the equation

-6x = 36 and the divide by -6

x= -6

Jeremiah sees a maple tree and a pine tree in the forest. He knows that the pine tree is
21.65 feet tall. On a sunny day, the shadow of the pine is 4.1 feet long while the maple's shadow is 15.01 feet long. Estimate the height of the maple tree.

Answers

Answer:

The height of the tree is  

18.67

feet

step explanation: i probably got it wronggggg

This month, a marching band has 60 musicians. If the number of musicians in the band last month was 51 members, what percent of increase was this? (Round to the nearest percent)

Answers

Answer: Happy holidays!

45% of _____________is 165

Answers

Answer:

366.666666  

Step-by-step explanation:

Let the number be x

45% of x = 165x*45/100 = 165x = 165*100/45x = 366.666666  

13
Complete the table of equivalent ratios.
9
5
10
20
25

Answers

Answer:

Step-by-step explanation:

3 6 9 12 15

5 10 15 20 25

Is y=4x+6 a proportional relationship?

Answers

yes hope i helped :)))))

The answer is proportional

Solve for w. 57 =4w + 13 Simplify your answer as much as possible.​

Answers

Step-by-step explanation:

57=4w+13

57-13=4w

44=4w

w=11

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