Fraction in simplest form

Fraction In Simplest Form

Answers

Answer 1

9514 1404 393

Answer:

  27/64

Step-by-step explanation:

The fraction being cubed is already in simplest form, so the cube is ...

  [tex]\left(\dfrac{3}{4}\right)^3=\dfrac{3^3}{4^3}=\boxed{\dfrac{27}{64}}[/tex]


Related Questions

Translate the sentence into an equation.

Four times the sum of a number and 7 equals 3

Answers

Answer:

[tex]4(x+7)=3[/tex]

Step-by-step explanation:

Since the sum is being multiplied 4 different times, it's best to write the equation of the sum and the number 4 being in the outside. and since it's saying it equals 3, just add the equal sign

Hope this helps!

- doomdabomb

If an angle of a right angle triangle is 81 find the remaining angle in grades​

Answers

Answer:

9

Step-by-step explanation:

90+81+mising angle=180, missing angle is 9

I need help
With these

Answers

Answer:

"A"

Step-by-step explanation:

a+b >c

a+c>b

b+c>a

~~~~~~~~~~~~

A. T,T,T

B. T,T,F

C. T,F,T

Which of the following choices is equivalent to -6x > -42?

Answers

Answer:

Where is the rest?

Step-by-step explanation:

%7"7:7;9

25(0.3x-4)-5(1.5x-6)+100(13/4) simplify the following expression and evaluate for x=0.345

Answers

Answer:

255

Step-by-step explanation:

Given :

Simplify the expression :

25(0.3x-4)-5(1.5x-6)+100(13/4)

Open each Bracket:

7.5x - 100 - 7.5x + 30 + 325

7.5x - 7.5x - 100 + 30 + 325

= 255

The simplified equation = 255

A woman bought some large frames for ​$17 each and some small frames for ​$6 each at a closeout sale. If she bought 18 frames for ​$141​, find how many of each type she bought. She bought ____ large frames.

Answers

Answer:

3 large frames

Step-by-step explanation:

Let the large frames she bought be x in number and small frames be y in number.

ATQ, 17x+6y=141 and x+y=18. Solving it, we will get x=3 and y=15. So she bought 3 large frames

a shopkeeper marked price a article a certain price above the cost price and he allowed 16% discount to make 5% profit if a customer paid 9492 with 13% vat to buy it by what percent is the mp above cp​

Answers

Answer:

if I had known this

Step-by-step explanation:

then I won't be using this app right now..

Use the differential to approximate the expression. Then use a calculator to approximate the quantity, and give the absolute value of the difference in the two results to four decimal places.

53

Answers

9514 1404 393

Answer:

   0.0056

Step-by-step explanation:

  f(x) = √(49 +x)

  f'(x) = 1/(2√(49 +x))

A linear approximation of f(x) expanded about x=0 is ...

  f(x) ≈ f(0) + f'(0)x = 7 +x/(2·7)

Then for √53, we have x=4

  f(4) ≈ 7 +4/14 = 7 2/7 . . . . . approximate √53 using differentials

__

The calculator value of √53 is about 7.280110, so the difference in results is ...

  approx - actual ≈ 7.285714 -7.280110 = 0.005604 ≈ 0.0056

A bag contains 3 red, 5 blue, and 4 white marbles. If a marble is drawn from the bag, not replaced, and another is drawn, what is the probability of selecting a white and then blue marble?

Answers

Answer:

5/33

Step-by-step explanation:

The probability of selecting a white marble is 4/12 = 1/3(because we have 4 white marbles and 12 marbles in total )

The probability of selecting a blue marble is 5/11 (because we have 5 blue marbles and 11 marbles left(1 has been drawn already) )

Probability of selecting a white and then blue marble equals 1/3*5/11 = 5/33

16: The temperature yesterday at noon was 68.5 degrees. Today at noon
it was 59.9 degrees. What was the difference in temperature?
O A. 8.4 degrees
OB. 8.5 degrees
C. 8.6 degrees
O D. 8.7 degrees

Answers

Answer:

C

Step-by-step explanation:

It is 8.6 because we are finding the difference and using subtraction.  

So I did 68.8-59.9 and I got 8.6

help me now where are you all helppppp​

Answers

A fraction means division.

To find the decimal equivalent of a fraction, divide the top number by the bottom number.

If f(x)=logx, show that f(x+h)-f(x)/h=log[1+h/x]^1/h, h=/=0 (Picture attached, thank you!)

Answers

Answer:

Step by step proof shown below.

Step-by-step explanation:

To prove the equation, you need to apply the Logarithm quotient rule and the Logarithm power rule. Here's how the quotient rule looks like.

[tex]log_b(x/y) = log_b(x) - log_b(y)[/tex]

And here's how the power rule looks like

[tex]log_a(x)^n = nlog_a(x)[/tex]

First let's apply the quotient rule.

[tex]\frac{f(x+h)-f(x)}{h} = \frac{log_a(x+h)-log_a(x) }{h} = \frac{log_a(\frac{x+h}{x} )}{h}[/tex]

Now we can do some quick simplification, and apply the power rule.

[tex]\frac{1}{h} log_a(1 + \frac{h}{x} ) = log_a(1+\frac{h}{x} )^\frac{1}{h}[/tex]

Determine whether the integral from -3 to infinity 1/sqrt (5 - x) is divergent or convergent. If it is convergent, evaluate it. If not, state your answer as divergent .

Answers

It's divergent because 1/√(5 - x) is defined only for x < 5, which means the integral from 5 to infinity doesn't exist.

What is $124,503 rounded to the nearest thousand?

Answers

Answer:

124,503 round to 125,000

Step-by-step explanation:

4 is in the thousands place

We look at the hundreds place

5 is in the hundreds place.  Since 5 is 5 or greater, we round the 4 up

124,503 round to 125,000

Decompose -6x/(x+2)(x+8) into partial fractions.

Answers

The partial fraction expansion takes the form

-6x/((x + 2) (x + 8)) = a/(x + 2) + b/(x + 8)

Both factors in the denominator are linear, so the numerators in the corresponding partial fractions have degree 1 - 1 = 0 and are thus constants.

Combine the fractions on the right side into one with a common denominator, then set the numerators on both sides of the equation equal to each other:

-6x = a (x + 8) + b (x + 2)

Expand the right side and collect terms by powers of x :

-6x = (a + b) x + (8a + 2b)

It follows that

a + b = -6   and   8a + 2b = 0

==>   a = -2   and   b = 8

So we end up with

-6x/((x + 2) (x + 8)) = -2/(x + 2) + 8/(x + 8)

Find hyperbola equation. center (0,0) vertex (-2,0) focus (-5,0)

Answers

[tex] \frac{ {x}^{2} }{4} - \frac{ {y}^{2} }{21} = 1[/tex]

[tex] \frac{(x - h)^{2} }{ {a}^{2} } - \frac{(y - k) ^{2} }{ {b}^{2} } = 1 \\ [/tex]

a= (–2, 0) ; Center =(0,0)

[tex]distance = \sqrt{(x2 - x1)^{2} + (y2 - y1) ^{2} } \\ a = \sqrt{(( - 2) - 0)^{2} + (0 - 0) ^{2} } \\ a = \sqrt{ {2}^{2} } \\ a = 2[/tex]C = (–5,0) ; Center =(0,0)

[tex]distance = \sqrt{(x2 - x1) ^{2} + (y2 - y1) ^{2} } \\ c = \sqrt{(( - 5) - 0)^{2} + (0 - 0) ^{2} } \\ c = \sqrt{ {5}^{2} } \\ c = 5[/tex]

C²= a²+ b²(5)²= (2)² + b²b²= 25–4 —> b² = 21

[tex]b = + \sqrt{21} , - \sqrt{21} [/tex]

[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{0 - 0}{0 - ( -5 )} = 0[/tex]

[tex] \frac{(x - h)^{2} }{ {a}^{2} } - \frac{(y - k) ^{2} }{ {b}^{2} } = 1 \\ [/tex]

[tex]\frac{(x - 0)^{2} }{ {2}^{2} } - \frac{(y - 0) ^{2} }{ { \sqrt{2} }^{2} } = 1 \\ [/tex]

[tex] \frac{ {x}^{2} }{4} - \frac{ {y}^{2} }{21} = 1[/tex]

I hope I helped you^_^

Find the measure of the missing angles.

Answers

Answer:

Step-by-step explanation:

e = 61°, f = 119°, and d = 90°

We know that vertically opposite angles are equal.

So, e = 61° [Vertically opposite angles]

We know that linear pair of angles are supplementary (180°).

So, f + 61° = 180° [Linear pair of angles]

=> f = 180° - 61°

=> f = 119°

and d + 90° = 180° [Linear pair of angles]

=> d = 180° - 90°

=> d = 90°

Find the missing side length. Leave your answers radical in simplest form. PLEASE HURRY

Answers

Answer:

the answer for y=4 and x=4✔3

Help please and thank you!!!!!

Answers

9514 1404 393

Answer:

a) 2 and 4; b) 1&2, 2&3, 3&4x = 16

Step-by-step explanation:

1a. Vertical angles share a vertex and are composed of opposite rays. Here, angles 2 and 4 are vertical angles.

1b. Consecutively numbered angles are adjacent, as are angles 1 and 5. The pairs of interest can be chosen from ...

  1&2, 2&3, 3&4, 4&5, 5&1

__

2. Angles 1 and 3 have the same measure, because they are vertical angles. Then we have ...

  78° = (5x -2)°

  80 = 5x . . . . . . . divide by °, add 2

  16 = x . . . . . . . divide by 5

What is the output of the function: f(x)=2x+5, if the input is 3?

Answers

Answer:

2*3+5=11

Step-by-step explanation:

Answer:

[tex]\boxed {\boxed {\sf 11}}[/tex]

Step-by-step explanation:

We are given the following function and asked to find the output if the input is 3.

[tex]f(x)= 2x+5[/tex]

The input is what is plugged into the function and its variable is x. The output is the result of plugging in the input and its variable is y.

Substitute 3 in for x,

[tex]f(3)= 2(3)+5[/tex]

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction. Multiply 2 and 3.

[tex]f(3)= 6+5[/tex]

Add.

[tex]f(3)= 11[/tex]

If the input is 3, then the output is 11.

find the surface area of the prism

Answers

Answer:

114 cm²

Step-by-step explanation:

Surface area of the rectangular prism,

2×(wl+hl+hw)

=2×(3×8+3×8+3×3)

= 2×(24+24+9)

= 2×(57)

=114 cm²

urgent !!!!!! plz image below

Answers

Answer:

[tex]216\ km^2[/tex]

Step-by-step explanation:

1. Approach

The surface area of a three-dimensional figure is the two-dimensional distance around the figure.  The easiest way to find the surface area of a figure is to find the area of each of its facets, then add up the area to get the total surface area. The given pyramid is composed of four congruent triangles and a square. Find the area of one of the triangles, and then the area of the rectangle. Multiply the area of the triangle by four to account for the fact that there are four congruent triangles. Then add the area of the base to the result, the result attained is the surface area of the prism.

2. Find the area of the triangles

The formula to find the area of a triangle is the following:

[tex]A_t=\frac{b*h}{2}[/tex]

Where (b) represents the base and (h) represents the height of the triangle. Substitute the given values into the formula and solve for the answer.

[tex]A_t=\frac{b*h}{2}[/tex]

[tex]A_t=\frac{9*7.5}{2}[/tex]

[tex]A_t=\frac{67.5}{2}[/tex]

[tex]A_t=33.75[/tex]

3. Find the area of the rectangle

The formula to find the area of a rectangle is the following,

[tex]A_r=b*h[/tex]

Substitute the given values in and solve,

[tex]A_r=b*h[/tex]

[tex]A_r=9*9[/tex]

[tex]A_r=81[/tex]

4. Find the total surface area

Multiply the area of the triangle by four to account for the fact that there are four triangles. Then add its area to the area of the rectangle.

[tex]A_t+A_t+A_t+A_t+A_r=A[/tex]

[tex]4(A_t)+(A_r)=A[/tex]

[tex]4*33.75+81=A[/tex]

[tex]135+81=A[/tex]

[tex]216=A[/tex]

A bank quotes an interest rate as 0.06341 annual effective yield. What interest rate, compounded monthly, will provide that
annual effective interest rate? Round your answer to five decimal places and do not round any intermediate calculations to
less than seven decimal places.

Answers

9514 1404 393

Answer:

  0.06164

Step-by-step explanation:

The effective annual rate obtained by compounding nominal annual rate r monthly is ...

  eff rate = (1 +r/12)^12 -1

Then the value of r is ...

  r = 12×((eff rate) +1)^(1/12) -1)

For the given effective rate, that is ...

  r = 12×(1.06341^(1/12) -1) ≈ 0.06164 . . . . nominal annual interest rate

√10 Multiple √15 is equal to

(a) 5√6

(b) 6√5

(c) √30

(d) √25


step by step for BRAINLIST



Solve :-​

Answers

Answer:

a). 56

[tex] \sqrt{10} \times \sqrt{15} \\ = ( \sqrt{5} \times \sqrt{2} ) \times ( \sqrt{5} \times \sqrt{3} ) \\ = {( \sqrt{5}) }^{2} \times ( \sqrt{2} \times \sqrt{3} ) \\ = 5 \times ( \sqrt{6} ) \\ = 5 \sqrt{6} [/tex]

find the value of z, angles related to a circle

Answers

Answer: z = 110

Explanation:

z + 70 = 180 (supplementary angle)
z = 180 - 70
z = 110

A truck is said to get 18 miles per gallon on a highway, but this value can fluctuate, at most, by 4 miles per gallon. Which of the following absolute value inequalities matches this scenario? Question 23 options: |x + 18| ≤ 4 |x – 18| ≤ 4 |x – 4| > 18 |x + 18| > 4

Answers

Answer:

the correct answer is |x – 18| ≤ 4

just took the test

Step-by-step explanation:

sold 72 books, if ratio of books to bookmarks sols was 9:2, how many bookmarks sold?

Answers

16 book marks has been sold

Answer:

16 bookmarks

Step-by-step explanation:

9/72 = 2/x

72/9 = 8

2 x 8 = 16

hope this helps

X/6 - y/3 = 1
please explain in detail!

Answers

Answer:

x=12,y=3

Step-by-step explanation:

x/6-y/3=1

x can equal 12 because 12/6 is equal to 2.

y can equal 3 because 3/3 equals 1

2-1=1

The ratio of the volumes of two similar solid polyhedra is equal to the square root of the ratio between their edges. True or False? HELP QUICK PLSSSSS

Answers

Answer:

FALSE.The ratio of the volumes of two similar solid polyhedra is equal to the square of the ratio between their edges. This statement is false. A polyhedron is a shape that has no gaps between their edges or vertices.

Answer:

it's false

~~~~~~~~~~~

correct gets brainliest!
find an expression that can be added to the expression 3x + 2 to give 5x + 3.​

Answers

Answer:

2x+1

Step-by-step explanation:

The expression = (5x+3)-(3x+2) = 2x+1

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