what expression is equivalent to (3c^2d^3)^2

Answers

Answer 1

Answer:

[tex] 9 {{c}^{4} } {{d}^{6} }[/tex]

Step-by-step explanation:

[tex](3c^2d^3)^2 \\ \\ = {(3)}^{2} {( {c}^{2} )}^{2} {( {d}^{3} )}^{2} \\ \\ = 9 {{c}^{4} } {{d}^{6} }[/tex]


Related Questions

If m<10=75, m<7=46 and m<16=136, find the measure of each missing angle.

Answers

Answer:

See answers below:

Step-by-step explanation:

Using corresponding angles properties, angles opposed by the vertex, and supplementary angle properties, we get:

<1 = 75 degrees

<2 = 105 degrees

<3 = 44 degrees

<4 = 136 degrees

<5 = 44 degrees

<6 = 90 degrees

<7 = 46 degrees

<8 = 75 degrees

<9 = 105 degrees

<10 = 75 degrees

<11 = 59 degrees

<12 = 46 degrees

<13 = 75 degrees

<14 = 105 degrees

<15 = 44 degrees

<16 = 136 degrees

<17 = 44 degrees

<18 = 136 degrees

Read the caption! And pls help me :))

Answers

Answer:

ASA

Step-by-step explanation:

If 2 angles and the included side of one triangle are congruent to 2 angles and the included side of the other triangle, then the triangles are congruent.

The included side is the side between the vertices of the 2 triangles.

Here

∠ S = ∠ W ( 1 angle )

∠ R = ∠ X ( 2 angles )

RS = XW ( side between the 2 angles )

Thus the 2 triangles are congruent by the ASA postulate

PLEASE HELP ME I WILL GIVE YOU A BRAINILIST
A six sided die is rolled then a quadrilateral is chosen at random parallelogram ,rhombus, rectangle square and trapezoid. What is the probability of getting five quadrilateral with four congruent sides?

Answers

Answer:

1. Square

2. Rhombus

I hope I helped, if not please let me know and I will correct my answer.

Happy new year, good luck with your future studies.

Step-by-step explanation:

The probability of getting five quadrilateral with four congruent sides is,

⇒ 1 / 3

What is mean by Probability?

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Given that;

A six sided die is rolled then a quadrilateral is chosen at random parallelogram ,rhombus, rectangle, square and trapezoid.

Hence, Total number of outcomes = 6

And, We know that;

Square and Rhombus have four congruent sides.

Hence, Number of possible outcomes = 2

Thus,  The probability of getting five quadrilateral with four congruent sides is,

⇒ 2 / 6

⇒ 1 / 3

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what is the GCF of 6n^3, 18n^4, 36n^2

Answers

Answer:

6n^2 or 6n squared

Step-by-step explanation:

To find the greatest common factor we have to first find out all the factors for every other number.

Factors - Numbers you can multiply to find that number.

For example, we have 6n^3 what numbers can be multiplied to find that number?

An equation is shown 3/5k=225. what is the value for k that makes the equation true?

Answers

Answer:

.0024

Step-by-step explanation:

3 = 225 x 5k

3/255 = 5k

5k = 0.117

k=0.0024

If M is the midpoint of AB, A(-3, 4) and M(-1, 2) find the coordinates
of B.

Answers

Answer:

B(1,0)

Step-by-step explanation:

The midpoint of (a,b) and (c,d) is ((a+c)/2,(c+d)/2)

Essentially, you just average the x and y values.

So, the average of -3 and b_x is -1.

The average of 4 and b_y is 2.

So x=1 and y=0

Write an equation and solve. Round to the nearest hundredth where necessary.

16 is what percent of 32?


A.) 16 = n • 32; 55%

B.) 16 = n • 32; 50%

C.) 32 = 16 • n; 2%

D.) 32 = 16 • n; 42.5%

Answers

B. 16=n*32; 50%

Step by step explanation:

16 divide 32= 1/2

1/2*100= 50

3x + 1 = 10
Show work

Answers

Answer:

x = 3

Step-by-step explanation:

3x + 1 = 10

subtract 1 from both sides of the equation

3x + 1 - 1 = 10 - 1

3x = 10 - 1

3x = 9

divide both sides of the equation by 3

3x/3 = 9/3

x = 9/3

x = 3

Answer:

X=3

Step-by-step explanation:

3x+1=10 -> switch 1 3x = 10 - 1

3x = 9

9/3 = 3

I'll give brainliest to whoever answers first

Answers

Answer:

5) 6

6)-70

7)5

8)-295

9)1

10)4

Step-by-step explanation:

5)10-4=6

6)-3(-5)^2+5=-70

7)-3(0)^2+5=5

8)-3(10)^2+10=-295

9)1/5=0.2

0.2(-5)+2=1

10)0.2(10)+2=4

1/6 x 8 + 2/3 x 9/8 =

Answers

Answer:

A

Step-by-step explanation:

do the multiplication first

Answer:

25 /12

Step-by-step explanation:

its the first one.

I did it on math_way

Alexander invested $320 in an account paying an interest rate of 1.5% compounded annually. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 18 years?

Answers

Answer:

$406.40

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 1.5%/100 = 0.015 per year.

Solving our equation:

A = 320(1 + (0.015 × 18)) = 406.4

A = $406.40

if you had a score of 60% how many marks out of 150 did he obtain

Answers

Answer:

90

Step-by-step explanation:

60/100=x/150

180/300=2x/300

2x=180

x=90

Answer:

90 marks

Step-by-step explanation:

10 % of 150 is 15

multiply that by 6

60% of 150 is 90

What is the solution to the system of equations?
4x-5y=-2
X=15-4y

Answers

34. This is because you can just use a calculator

The first lap of an auto race is 2,500 meters. This is 10% of the total race distance. What is the total race distance?

Answers

Answer:

25,000

Step-by-step explanation:

.10(x) = 2,500

X = 2,500/(.10)

X=25,000

The length of the total race track is 25000 meters.

What is the percentage?

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Let, 'x' be the total distance.

Therefore, From the given information 10% x is 2500 meters, This can be numerically expressed as,

(10/100)×x = 2500.

0.1x = 2500.

x = 25000.

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One batch of cookies requires two eggs and two and a half cups of flour. How many cups of flour are needed to make three and a half batches of Cooke's?

Answers

Answer:

7 1/2

Step-by-step explanation:

Tanya runs diagonally across a rectangular field that has a length of 40 yards and a width of 30 yards, as shown in the diagram. What is the length of the diagonal, in yards, that Tanya runs?

Answers

Answer:

70 besarse you have to add

A police officer recorded the speeds of 100 cars in a 50-mile-per-hour zone. The results are in the box plot shown. How many cars were going between 40 and 48 miles per hour?​ I know the answer but I need to know how to do it

Answers

Answer: 25 cars

Step-by-step explanation:

This is a box plot and it is a useful graph for showing the minimum, maximum, median and quartile values of a data distribution.

The box you see in the middle is the Interquartile range. In other words, the first line on the box is Q1 and the line at the end of the box is Q3.

The line in the middle of the box is the median or Q2.

The distance between Q1 and the median is 25%.

The number of cars between 40 and 48 miles per hour is therefore 25% of the total.

= 100 * 25%

= 25 cars

Answer:

25 cars

Step-by-step explanation:

Took the diagnostic

find the equation of the line. use exact numbers.

Answers

Your equation is y=-2x+5. First find the slope by plugging two points into the slope equation y2-y1 over x2-x1. This then gets you the slope of -2. Then find the point where x=0, which then gets you your y intercept or the b value in the equation. With the slope as m and y intercept as b, we can find that in the equation y=mx+b with the new values plugged in y=-2x+5.

Select the correct answer from each drop-down menu.

1_____ × 10-3 is 2,000 times greater than 1.9 × 10-6. It is also
2_____ times greater than 9.5 × 10-4.

Answers

Answer:

Well, 1 is 3.8 The second one is 40,

Step-by-step explanation:

I believe 1 is 3.8, b/c 1.9*2 is 3.8, and the difference between exponents makes 3 zeros, so 2000.

The second one is 40, I confirmed this by doing .0001 to replicate 10 to the negative 4th power

By doing 9.5*.0001*40, I got the 0.038 from 1

Answer:

3.8 × 10-3 is 2,000 times greater than 1.9 × 10-6. It is also 4 times greater than 9.5 x 10-4.

Step-by-step explanation:

I started by doing 0.0000019 x 2000 and got 0.0038. If you move the decimal point 4 over you get 3.8.

EVERYONE ELSE IS WRONG!!! I got this correct on the test after retaking it, the second one is NOT 40 it is 4.

please help nobody's been answering this is urgent!!!

find the value of x and y

Answers

Answer:

Step-by-step explanation:

Set 5x+6 equal to 7x+4 and solve for x

x=1

11+y+6=180

y=180-17 which you know

WILL GIVE BRAINLIEST TO CORRECT ANSWER!!

Answers

Answer:

Intersecting: y = 8x + 10, y = -1/8x + 10 (f, g)

Parallel: x + y = 5, 7x + 7y = 14 (eq2, eq3); y = 2x + 8, -y = -2x + 6 (p, eq4)

Perpendicular: y = 8x + 10, y = -1/8x + 10 (q, r); 4x + 10y = 6, y = 5/2x + 7 (eq1, h).

None go under Same.

Step-by-step explanation:

In case you're confused:

The line labeled f goes with g. The line labeled q goes with r.

(f, g) is red.

(eq1, h) is orange.

(eq2, eq3) is yellow.

(p, eq4) is green.

(q, r) is blue.

All lines are in the attachment below.

simplify this expression 4^5/4^3

Answers

Answer:

It is 4 squared

Step-by-step explanation:

When dividing exponents it’s almost like subtraction so 4^5/4^3 is 4^2

The answer
4^5/4^3 = 4^2 =16

What is the value of the expression below when x=4?

7x^2+8x−7

Answers

Answer:

137

Step-by-step explanation:

when x=4 , We substitute in the above equation

(7 x 4²)+(8x4)-7 = 112+25 =137

Answer : 137

Explanation: basically you plug 4 into the x spots so; 7(4)^2 + 8(4) -7

=7(16) + 8(4) -7

= 112 + 32 - 7

= 144 -7

= 137

Find the value of x.

Answers

9514 1404 393

Answer:

  (b)  48

Step-by-step explanation:

In this geometry, the altitude (x) is the root of the product of the segments of the hypotenuse.

  x = √(36·64) = √36×√64 = 6×8

  x = 48

_____

All of the triangles are similar, so the ratios of corresponding sides are the same.

  short side/long side =  x/64 = 36/x

  x^2 = (64)(36) . . . .  as above

I need help ASAP thanks xd​

Answers

It would be 125 you do 180 minus 55

16c^2+ 18c+5
Factor Each Trinomial.

Answers

Answer:

(2c +1)(8c+5)

Step-by-step explanation:

I got my answer based off how i understood the problem.

please help me i will mark brainliest!!! Rewrite as a simplified fraction 0.612 also the 12 is repeating

Answers

Answer:

= 68/111

Step-by-step explanation:

If f(x) = 4x^3 + 5, then what is the remainder when f(x) is divided by x-3?

Answers

Answer:

4, 5 is the point and I don't think there is a remainder

Step-by-step explanation:    

The remainder when f(x) = 4x³ + 5 is divided by x - 3 the remainder is 113.

What is a factor of a polynomial?

We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.

To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.

Given,  f(x) = 4x³ + 5 now dividing f(x) by x - 3 = 0 ⇒ x = 3 is the same as replacing x with 3 in f(x).

∴ f(3) = 4(3)³ + 5.

f(3) = 4(27) + 5.

f(3) = 108 + 5.

f(3) = 113.

So the remainder when f(x) = 4x³ + 5 is divided by x - 3 the remainder is 113.

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The number of gallons used to wash dishes varies directly with the number of loads. If it takes 65 gallons to wash 5 loads. How many gallons would be needed to wash 3 loads?

Answers

Answer:

13 gallons

Step-by-step explanation:

Answer:

39 gallons

Step-by-step explanation:

We would use a simple relation here

65 gallons washes 5 loads, then

65/5 gallons will wash one load

13 gallons washes one load

Now, to find 3 loads will be

13 * 3 gallons = 39 gallons

please help im stuck on this question and its due for tomorrow please help!

rearrange y= 1/3x+1 to make x the subject

please help ill be very grateful tysm x

Answers

9514 1404 393

Answer:

  x = 3(y -1)

Step-by-step explanation:

In this, and any, "solve for ..." situation, you want to first take a look at where the variable of interest is in the equation, and what has been done to it.

Here, x is on the right side (only). It has these operations done to it:

multiplied by 1/31 added to the product

You solve for x by undoing these operations, in reverse order. As always, with any equation, you do the same thing to both sides of the equation.

__

First, we will undo "add 1". We do that by adding the opposite of 1.

  y -1 = 1/3x +1 -1 . . . . . -1 added (to both sides)

  y -1 = 1/3x . . . . . . . . . simplify

To undo the "multiply by 1/3", we can multiply by the "multiplicative inverse" (reciprocal) of 1/3. That is, we want to multiply by 3.

  3(y -1) = 3(1/3x) . . . . . multiply (both sides) by 3

  3(y -1) = x . . . . . . . . . simplify

We can leave it like this.

  x = 3(y -1)

Or, we can eliminate parentheses using the distributive property .

  x = 3y -3

These are completely equivalent equations with x as the subject.

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