(2/3)³×(-3/4)²×(-1)²⁰⁰³
(2/5)²×(-5/12)³

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex](-1)^{n} = -1 , if \ n \ is \ a \ odd \ integer\\\\\\\\(-1)^{2003} =-1 \\\\(\dfrac{-3}{4)}^{2}=\dfrac{3}{4}, \ as \ 2 \ is \ even \ number.\\\\(\dfrac{2}{3})^{3}*(\dfrac{-3}{4})^{2}*(-1)^{2003}=\dfrac{2^{3}}{3^{3}}*\dfrac{3^{2}}{4^{2}}*(-1)\\\\\\=\dfrac{2^{3}}{3^{3}}*\dfrac{3^{2}}{2^{4}}*(-1)\\\\\\=\dfrac{-1}{3^{3-2}*2^{4-3}}\\\\\\=\dfrac{-1}{3^{1}*2^{1}}\\\\=\dfrac{-1}{6}[/tex]

[tex](\dfrac{2}{5})^{2}*(\dfrac{-5}{12})^{3}=\dfrac{2^{2}}{5^{2}}*\dfrac{(-5)^{3}}{(2^{2}*3)^{3}}\\\\\\=\dfrac{2^{2}}{5^{2}}*\dfrac{- 5^{3}}{2^{6}*3^{3}}\\\\\\= -\dfrac{5^{3-2}}{2^{6-2}*3^{3}}\\\\\\= -\dfrac{5}{2^{4}3^{3}}\\\\= -\dfrac{5}{16*3}\\\\\\= \dfrac{-5}{48}[/tex][tex]HINT: \dfrac{a^{m}}{a^{n}}=a^{m-n}, m >n\\\\\\\dfrac{a^{m}}{a^{n}}=\dfrac{1}{a^{n-m}}, n >m\\\\\\(a^{m})^{n}=a^{m*n}[/tex]


Related Questions

Find missing value to make a function….Thanks

Answers

Answer:

12

Step-by-step explanation:

First find the slope

m = ( y2-y1)/(x2-x1)

   = ( 60-30)/(6-0)

   = 30/6 = 5

Now using a second set of points and the slope we can find p (0,30) and (p,90)

5 = ( y2-y1)/(x2-x1)

5 = (90-30)/(p-0)

5 = 60/p

Multiply each side by p

5p = 60

Divide by 5

p =60/5

p = 12

If x= √3, find the value of x⁴.​

Answers

Answer:

9

Step-by-step explanation:

Hi there!

We're given that x=√3, and we want to find the value of [tex]x^4[/tex]

We can substitute √3 as x, and then raise it to the 4th power, but if you don't know what that number is, it might be difficult to figure it out.

An easier way would be to write [tex]x^4[/tex] as x² * x², which in that case, we can multiply √3 by itself, multiply √3 by itself again, and then multiply those 2 numbers together.

If we do it this way, it'll look something like this (remember: x² is equal to x*x, or (x)²:

(√3)² * (√3)²

The order of operations will ask us to first take care of what's in the parentheses, and then to raise the numbers to their powers. Starting with the number on the left of the multiplication sign,

(√3)² = (√3)(√3)=3

And then the number on the right of the multiplication sign:

(√3)² = (√3)(√3)=3

Substitute these numbers in as (√3)² and (√3)²:

3 * 3 = 9

Therefore, x² * x², or [tex]x^4[/tex] is equal to 9

Hope this helps!

In Joe's fish tank, there are 5 goldfish and 12 snails. How does the ratio 5:17 describe Joe's fish
tank?
Choose the correct answer below.
O A. The ratio 5:17 compares the number of snails to the number of goldfish.
OB. The ratio 5:17 compares the number of snails to the total number of animals.
OC. The ratio 5:17 compares the number of goldfish to the total number of animals.
OD. The ratio 5:17 compares the number of goldfish to the number of snails.

Answers

Answer:

OC. 5:17 compares the amount og goldfish he has to the amount of total animals he has

Tarek can do a job in 4 hours. Aisha can do the same job in 6 hours. How many hours will it take the
two of them to do the job if they work together?

Answers

Answer:

it will take 10 hours

Step-by-step explanation:

6+4=10

Can someone help me with this?

Answers

Answer:

6 units i think but i dont u how u do it

A service call for repairing your mower is $50 plus $80 per hour.
How many hours did it take to service your mower if the charge was
$90?

0.2 hours
0.5 hours
1.125 hours
2 hours

Answers

Answer:

0.5 hours

$130 = 1h

$90 = 30m/1h

Draw a square and its diagonals. Guess the measures of these angles.

Answers

Answer:

Each angle measures 45° with diagonals

Step-by-step explanation:

solve pls brainliest

Answers

The answer for a is +2.

The answer for b is +256.

A smart watch was marked 150 and is sold at 120. Find discount percentage​

Answers

Step-by-step explanation:

100 % = 150

1% = 100%/100 = 150/100 = 1.5

the discount was 150 - 120 = 30.

how many percent are in 30 ? that is our discount preventative.

30/1.5 = 20

so, the watch was sold with 20% discount.

2. It’s time for Ronda to start repaying her student loans, which are amortized over the next 10 years. Her first month’s payment due is $396. How much should she expect to pay next month?

Answers

Based on the amount that she paid in the first month, the amount Ronda will pay for the next month is $396.

When a loan is amortized, it means that one can pay it off by paying the same amount every period until they would have paid off both the loan and the associated interest.

The amortized amount contains:

A portion going towards the principal(debt )A portion going towards the interest accumulated.

In conclusion, as the amount is the same every time, Ronda will have to pay the same amount of $396 the next month.

Find out more at https://brainly.com/question/12256592.

Review the graph. On a coordinate plane, a parabola opens up and goes through (negative 2, 5), has vertex (0, 1), and goes through (2, 5). Another parabola opens to the right and goes through (8, 4), has vertex (negative 8, 0), and goes through (8, negative 4). Everything inside of the first parabola and above the second parabola within the first parabola is shaded. Which system of inequalities has the solution set shown in the graph?

Answers

Answer:

The value of h is h = -1.5

Step-by-step explanation:

The quadratic equation is represented by a parabola, the vertex form of the equation is y = a(x - h)² + k, where

(h , k) are the coordinates of its vertex point

a is the coefficient of x²

∵ The graph is a parabola opens up

∵ It has a vertex at (-1.5, 0)

∵ The vertex of the parabola is (h , k)

∴ h = -1.5 and k = 0

∵ The graph shows f(x) = (x - h)²

∵ The coordinates of the vertex are (h , k)

∵ h = -1.5 and k = 0

∴ h = -1.5

The value of h is h = -1.5

The value of h is h = -1.5

We have given that,

On a coordinate plane, a parabola opens up and goes through (negative 2, 5), has vertex (0, 1), and goes through (2, 5). Another parabola opens to the right and goes through (8, 4), has vertex (negative 8, 0), and goes through (8, negative 4).

The quadratic equation is represented by a parabola,

What is the vertex form of the parabola?

The  vertex form of the equation is y = a(x - h)² + k, where

(h, k) are the coordinates of its vertex point

a is the coefficient of

∵ The graph is a parabola that opens up

∵ It has a vertex at (-1.5, 0)

∵ The vertex of the parabola is (h , k)

h = -1.5 and k = 0

∵ The graph shows f(x) = (x - h)²

∵ The coordinates of the vertex are (h, k)

∵ h = -1.5 and k = 0

h = -1.5

The value of h is h = -1.5.

To learn more about the vertex form of parabola visit:

https://brainly.com/question/17987697

#SPJ2

re upload plz help!!!!!

Answers

Answer:

1) A) 64 tickets

  B) $11

2) A) 20 rides

Step-by-step explanation:

1) a) set y to 37 because they made 37 dollars

37 = 0.50x + 5

32 = 0.50x.........subtract 5 from both sides

64 = x..................divide both sides by 0.50 to get x by itself

b) set x to 12 because x is the amount of ride tickets they bought

y = 0.50(12)+ 5

y = 6 + 5............multiply 12 by 0.50

y=11......................add

2) a) set both equations equal to each other to see when they will be equal

0.50x + 5 = 0.75x

0.50x = 0.75x - 5..........subtract 5 from both sides

0.50x - 0.75x = - 5........subtract 0.75x from both sides

-0.25x = - 5......................combine like terms

x=20...................................divide both sides by -0.25 to isolate x

Please help! It’s due today

Solve: 5|9 – 3x|– 7 = 38

Answers

Answer:

x = 0

Step-by-step explanation:

Choose the expression that correctly compares 0.501 and 0.051

Answers

Answer:

0.501>0.051

Step-by-step explanation:

Answer:

0.501 > 0.051

Step-by-step explanation: blah

the deer population in georgia was 450,000 in 2010, and the population doubles every 5 years. in what year will the deer population in georgia reach 1 million

Answers

Answer:

We know that in 2020 the population of deer will be 900,000 based on the given numbers. In another 5 years the population will be over 1 million (1,350,000) in order to calculate when it will reach 1 million we need to see how much growth is gained per year. I believe to obtain that information we will need to divide 450,000 by 5 that equals 90,000 a year. So if I’m 2020 the population of deer will be 900,000 than add 90,000 until you reach your 1 million marker. In this case 2021 would be 990,000 thousand so 2022 would be 1,080,000. So your answer should be year 2022. Hope that helps

Please give me the answer

Answers

Answer:

8%

If you need the work comment on this post.

can someone please help me i’m not doing so well in this new topic

Answers

Answer:

m<H= 80*

m<P= 80*

m<I= 33*

M<Q= 33*

M<J=67*

M<R=67*

Step-by-step explanation:

Given States that ️ HIJ = ️ PQR

<H=<P

2x=x+40

2x-x=x-x+40

x=40

<I=<Q

<J=<R

ALL TRIANGLES MEASURE 180*

Y= the measure of <R and <J

2x+33+y=180

2(40)+33+y=180

80+33+y=180

113+y=180

113-113+y=180-113

y=67

Answer:

See answer below

Step-by-step explanation:

If ΔHIJ ≅ ΔPQR ,then you know six  congruent parts:

 ∠H ≅ ∠P ; ∠I ≅ ∠Q;  ∠J ≅ ∠R    and HI ≅ PQ; HJ ≅ PQ ; IJ ≅ QR

   ∠H ≅ ∠P         ∠I ≅ ∠Q

2x = x + 40°          ∠I = 35°

x = 40°

So ∠H = 2x = 2(40) = 80°                        Δ HIJ = 180°

    ∠P = x + 40 = 40 + 40 = 80°               ∠H + ∠I  + ∠J = 180°

    ∠Q = 35°                                                  80° + 35° + ∠J = 180°

    ∠ I = 35°                                                   115° + ∠J = 180°

    ∠ J = 65°                                                          ∠J = 65°

    ∠R = 65°                                                      ∠J ≅ ∠R

What number has 7 as 1/10

Answers

70
7x10=70
So 1/10 of 70 is 7

The midpoint of DF is E(-5, 4). If the coordinates of Fare (-4, 2), What are the coordinates of D?

Answers

Answer:

(-6,6)

Step-by-step explanation:

1002828197382728173927937294729929382991divided by 182883929190.837283828281-737273728377273737272

Answers

Answer:

4.766141725565771e23

Step-by-step explanation: it is impossibel to explane so coculated it and i got 4.766141725565771e23. so there you go.

BRAINLIEST x 3
It is kinda late and I need to finish my work
Please help me
If you answer this I will create two other posts to give you extra brainliests

Answers

5. x=13
6. x=7
7. x=26
8. x=18
9. x=11 y=3
10. x=24
11. x=18 y=5
12. x= 17 y= 9

hope this helped!:)

Melanie got a new job through the Jones Employment Agency. The job pays $32, 400 per year, and the angency fee is equal to 45% of one months pay. How much must Melanie pay the agency?

Answers

Answer:

The answer is $1,215

Step-by-step explanation:

I did $32,000 divided by 12 (months on an year) and got $2,700 per month, now we just do 0.45 x $2,700 and thats how I got the answer!

decrease £67 by 26% give your answer in pounds

Answers

Answer:

£ 49.58

Step-by-step explanation:

26% of 67 = 0.26 * 67 = £17.42

67 - 17.42 = £49.58

Since it isn’t asking for 26% off of 67, you use the number 74% because 26+74=100

Now, you multiply

.74x67

The answer will be

£49.58

Hope this helps!!

The sides of a triangle are in the ratio 4:4:3.What kind of triangle is it

Answers

Answer:

Isosceles triangle. An Isosceles triangle is a triangle that has 2 equal sides and 2 equal angles

Step-by-step explanation:

if you are graphing a system of equations, but the graph doesn't give you enough space to plot the y intercept or slope, what do you do? HELP ASAP

Answers

I’ve been there and I think it most likely means that you’re plotting it wrong. The graph should always have space for you to graph the problem correctly.

A triangle has angles with the following measures: (x2 + 34)°, (6x + 4)°, and (10x + 10)°. Solve for x. show all work please

Answers

Answer:

[tex]x = \frac{-8 +\sqrt{190} }{2}[/tex] or x = 5.7840

Step-by-step explanation:

All the angles of a triangle add up to 180°, so we can solve this using the following equation:

180 = (x^2 + 34) + (6x + 4) + (10x + 10)

180 = x^2 + 34 + 6x + 4 + 10x + 10

Now, let's combine like terms:

180 = x^2 + (6x + 10x) + (34 + 4 + 10)

180 = x^2 + 16x + 54

Subtract 180 from both sides:

0 = x^2 + 16x - 126

And solve using the quadratic formula:

[tex]x = \frac{-b +\sqrt{b^{2}-4ac } }{2a}\\x = \frac{-16 +\sqrt{16^{2}-4(1)(-126) } }{2(1)}\\x = \frac{-16 +\sqrt{256+504 } }{2}\\x = \frac{-16 +\sqrt{760} }{2}\\x = \frac{-16 +2\sqrt{190} }{2}\\\\x = \frac{-8 +\sqrt{190} }{2}\\[/tex]

And we can approximate this as a decimal, if needed:

x = 5.7840

0.35 is best known as what number

Answers

Rational number. hope this helps

Can somebody help me i've been stuck on this for awhile its because i dont get it

Answers

Answer:

15 students aren't wearing blue or white

Step-by-step explanation:

1/10 of 30 = 3

2/5 of 30 = 12

3 + 12 = 15

30 - 15 = 15

15 students aren’t wearing blue or white
Explanation:
1/10 of 30 is 3
2/5 of 30 is 12
3+12=15
30-15=15

(X-5)(X+6)
Expand and simplify

Answers

X^2+x-30 is the answer

Answer:

Step-by-step explanation:

(x - 5)(x + 6) = x *(x + 6) - 5*(x + 6)

                   =x * x + 6 *x + x*(-5) + 6*(-5)

                    = x² + 6x - 5x - 30    {Combine like terms}

                    = x²  + x - 30

The first three terms of a geometric sequence are as follows.
2, -8, 32
Find the next two terms of this sequence.
Give exact values (not decimal approximations).

Answers

Answer:

-128, 512

Step-by-step explanation:

-8/2 = -4, 32/-8 = -4, so the ratio r = -4. 32*-4 = -128, -128*-4 = 512

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