which choices are equivalent to the expression below? Check all that apply.
3√6​

Answer: Nickel

Step-by-step explanation:

Hi, to answer this we have to calculate the circumference of each coin:

C =π diameter.

Penny = 3.14 (1.9)= =5.96 cm

Nickel = 3.14 (2.1) =6.6 cm

Dime = 3.14 (1.8) =5.62 cm

Quarter = 3.14 (2.4) =7.53 cm

Since the coin rolled about 33cm in 5 rotations, it means that the circumference of the coin (x) multiplied by 5 is equal to the distance rolled.

5x=33

x =33/5 =6.6 cm

The coin is the nickel, because its circumference is equal to 6.6 cm.

Answer:

5n+5p

Step-by-step explanation:

7n-2n+3p+2p

5n+5p (combine like terms)

the answer is 5n+5p

Answer:

Step-by-step explanation:

(1+x)^6 = (1+3)^3 x (1+3)^3

(1+3x+ 3x^2+x^3) x (1+3x+ 3x^2+x^3)

1+ 6x+15x^2+20x^3+15x^4+6x^5+x^6

Answer:

I only have an answer to number 2 but the dimensions are 20 and 120.

Step-by-step explanation:

well you can remove the zeroes and factor either the 28 or 24. (I think 24 is the best) so when you factor it you get 2 and 12 because 2 x 12 is 24 and 2 + 2 + 12 + 12 is 28. Then add the zeroes and you have your dimensions. I hope that explanation helped with number 2.

Answer:

Relative frequency is 7.41% or 0.0741

Step-by-step explanation:

Given

The Attached Table

Required

Calculate the relative frequency of the class with lower limit 27

Relative Frequency is calculated by dividing individual frequency by the total frequency

Mathematically,

[tex]Relative\ Frequency = \frac{Individual\ Frequency}{Total\ Frequency}[/tex]

The total frequency of the given data is 6+8+4+2+5+2

[tex]Total\ Frequency = 27[/tex]

The class with lower limit 27 has a frequency of 2;

Hence;

[tex]Relative\ Frequency = \frac{Individual\ Frequency}{Total\ Frequency}[/tex] becomes

[tex]Relative\ Frequency = \frac{2}{27}[/tex]

[tex]Relative\ Frequency = 0.07407407407[/tex]

[tex]Relative\ Frequency = 0.0741[/tex] (Approximated)

You may also leave your answer in percentage form

[tex]Relative\ Frequency = 0.0741 * 100\%[/tex]

[tex]Relative\ Frequency = 7.41 \%[/tex]

Hence, the relative frequency is 7.41% or 0.0741

Answer:

hi

Step-by-step explanation:

Answer:

a = 4.5 units

b = 7.5 units

Step-by-step explanation:

By using mean proportional theorem in the ΔACB,

ΔACB ~ ΔADC ~ ΔCDB

[tex]\frac{AD}{CD}=\frac{CD}{DB}[/tex]

[tex]\frac{8}{6}=\frac{6}{a}[/tex]

a = [tex]\frac{6\times 6}{8}[/tex]

a = 4.5

[tex]\frac{AB}{CB}=\frac{CB}{DB}[/tex]

[tex]\frac{(a+8)}{b}=\frac{b}{a}[/tex]

Since a = 4.5

[tex]\frac{4.5+8}{b}=\frac{b}{4.5}[/tex]

b² = 4.5 × 12.5

b = √56.25

b = 7.5 units

Therefore, a = 4.5 units and b = 7.5 units will be the answer.

Answer:

78 degrees

Step-by-step explanation:

x=108-30 PWP (Part Whole Postulate)

x=78         Solve

Answer:

See solution ( s ) below;

Step-by-step explanation:

1 . Consider the first attachment;

[tex]m< ( unknown ) = 30 degrees, - Given\\m< ( unknown ) = 108 degrees - Given,\\\\\\m< ( unknown ) + x = m< ( unknown ) - By Partition Postulate,\\30 + x = 108, - Through Algebra,\\Conclusion ; ( x = 78 degrees )[/tex]

Solution ; x = 78°

From a horizontal position, in reality we could only bed our knee to a maximum of a little less than 180 degrees. However, let's consider the max Randi can bend her leg as 180° ;

[tex]By Partition Postulate - 108 + x = 180,\\if x - degrees Randi Can Bend more,\\108 + x = 180,\\\\Conclusion ; ( x = 72 degrees )[/tex]

Solution ; Randi can bed her knee 72° further

3 . Consider 3x and 8x + 15 to be a linear pair,

[tex]3x + ( 8x + 15 ) = 180 - Linear Pair,\\\\3x + 8x + 15 = 180,\\11x + 15 = 180,\\11x = 165,\\Conclusion ; ( x = 15degrees)[/tex]

Solution ; x = 15°

First change -4 - 2 to -4 + -2.

Now we can use our number line to

help us visualize what's going on.

Starting at 0, -4 moves us 4 units to the left along our number line.

From there, another -2 moves us 2 more units to

the left along the number line and we end up at -6.

So -4 + -2 simplifies to -6.

Work shown below.

Answer:

3 yards

Step-by-step explanation:

First, let's convert yards into feet. 189 feet is 63 yards.

Volume=L•W•H           L=length W=width H=height

To do this we have to divide the volume by the product of the length and width and it will calculate the height.

Solving for the width:

63÷(7•3)=3 yards <-the depth of the pool

Answer:

3 yards

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Well since it is arthimetic sequence we know the formula

We know d is difference between second term and first so it will be -5- (-12)= -5+12= 7

[tex]a_{n}= a _{1}+ d (n-1) \\a_{n}= -12+7(n-1)\\a_{n} = -12+7n-7\\a_{n}= 7n-19[/tex]

the domain of this is 1,2,3,4.......

range is -12,-5,2,9.......

Therefore answer is B.

Answer:

t= 0.2 I think.....

Step-by-step explanation:

Answer:

increasing

Step-by-step explanation:

Since the line goes up from left to right, the graph is increasing

Answer:

Increasing ; Option C

Step-by-step explanation:

We can tell that this graph does increase, but let us prove so, through slope;

[tex]If Slope - Positive, - Graph Increases,\\If Slope - Negative - Graph Decreases,\\If Slope = 0 - Constant,\\\\Slope of Line = 3 / 1 = 3, ( Positive ),\\Conclusion ; Graph - Increasing[/tex]

Solution ; Increasing

Answer:

A, B and D

Step-by-step explanation:

Answer:

A , B , D

Step-by-step explanation:

You can clearly see that those angles have a square between them , thus they are right angkes

Answer:

s and t are perpendicular

Step-by-step explanation:

they intersect at a 90 degree angle, which is marked by the little square at the point where they intersect.

Answer:

70 ft

Step-by-step explanation:

260 feet around its edge  means perimeter

P = 2(l+w)

Width = 60

260 = 2( l+60)

Divide each side by 2

260/2 = 2/2(l+60)

130 = l+60

Subtract 60 from each side

130-60 = l+60-60

70 = l

The length is 70 ft

Answer:

It's 17, 21, and 25

Step-by-step explanation: hope it helps ^w^

Answer:14/20

Step-by-step explanation:

Answer:

ITS A

Step-by-step explanation:

CUZ IM A GENUIS mark.

Answer:

A

Step-by-step explanation:

just did the T3ST rn :)

Answer:

It would take Abigail six days to read 32,400 words of a book if she were to read 30 minutes per day.

Step-by-step explanation:

If Abigail reads 180 words per minute, and she reads 30 minutes per day, we need to multiply 180 by 30 to figure out how many words she reads per day.

180 × 30 = 5,400

Abigail reads 5,400 words per day.

Then, we divide 32,400 by 5,400 to figure out how many days it would take Abigail to read 32,400 words.

32,400 ÷ 5,400 = 6

It would take Abigail six days to read 32,400 days.

Hope that helped!

Answer:

A- the number of people in a large stadium; about 1x10 ^5

Step-by-step explanation:

Answer:

-6y

Step-by-step explanation:

the -5x and 5x cancel each other out, then the 2y and -8y become -6y.

Answer:

Step-by-step explanation:

Like terms are terms whose variables (and their exponents) are the same.

[tex]-5x+2y+5x-8y[/tex]

We have the terms:

[tex]-5x;\ 2y;\ 5x;\ -8y[/tex]

Like terms:

[tex]-5x\ \text{and}\ 5x,\ 2y\ \text{and}\ -8y[/tex]

Combine like terms:

[tex](-5x+5x)+(2y-8y)=0x+(-6y)=-6y[/tex]

Answer:

12 √8 ×

Step-by-step explanation:

There is two many variables in that I believe you meant. What is equivalent to 3 square root 8^1/4x? =12 √8 × . Hopefully this helped you .

The answer is expressions D, E, and G.

In algebra, a ‘term’ usually means the different parts of an expression that are separated by + and - signs.

Options A and B only have 1 term, an x or y³, so these are incorrect.

Option C has 1 term as well, ‘xyz’, because they are all multiplied together which makes it one term.

D and E both have 3 terms each, but F has 4 unique terms so this is incorrect also.

G has 3 unique terms, x³, x^4, and 7x, so this is correct.

When H is expanded, you will end up with more than 3 unique terms, so this is incorrect.

I hope this helps!

Answer:

answers are x+y+1, x+y+z ,4x^3+10x^4-7x , ( x+1)( y-2 )(z+5 )

Answer:

0.358

Step-by-step explanation:

cos A=28/53 = 58.11

sin B=60/61 = 79.61

sin(79.11 - 58.11) = sin 21 = 0.358

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Use the multiplier 1.055

final = original x multiplier^n

where 'n' is the number of years

Sub the values in

final = 700 x 1.055^7

final = 1018.27

Subtract the values:

1018.27 - 700 = 318.27

Thus, he earns more than $275

He earns $43.27 more

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Answer:

This would be graph A

Step-by-step explanation:

The graph decreases means the line goes down. crosses at -7 means the y intercept is -7 and then remains constant means a horizontal line

This would be graph A

Answer:

Graph A ; Option B

Step-by-step explanation:

Consider the criteria for the graph;

[tex]Criteria;\\\\Crosses Y - axis at Point - ( 0, - 7 ),\\Decreases Before Crossing Y - axis,\\Remains Constant after Crossing Y - axis,\\[/tex]

Now take a look at each option before us;

[tex]Graph A - \\1. Travels Down,\\2. Crosses Y - axis at Point ( 0, - 7 )\\3. Remains Constant\\\\Graph B - \\1. Travels Upward,\\2. Crosses Y - axis at Point ( 0, 7 )\\3. Remains Constant\\\\Graph C - \\1. Travels Down,\\2. Crosses Y - axis at Point ( 0, - 7 )\\3. Travels Upward[/tex]

Comparing the three, we conclude that Graph A meets the provided criteria, which confirms that it is the right answer;

[tex]Solution ; Graph A[/tex]

Answer: Never

Step-by-step explanation: Let me know if you need an explanation.

Answer:

[tex]C=\dfrac{5}{9}(F-32)[/tex].

Step-by-step explanation:

The formula for Fahrenheit temperature is

[tex]F=32+\dfrac{9}{5}C[/tex]

We need to write this formula for C.

Subtract 32 from both sides.

[tex]F-32=\dfrac{9}{5}C[/tex]

Multiply both sides by 5.

[tex]5(F-32)=9C[/tex]

Divide both sides by 9.

[tex]\dfrac{5}{9}(F-32)=C[/tex]

Therefore, the required formula is [tex]C=\dfrac{5}{9}(F-32)[/tex].

Answer:

x = -1 <--- axis of symmetry

(-1, -9) <-- vertex

2, -4  (or, in my old precalc class we wrote our roots as (2,0) and (-4,0))   <--- roots

Step-by-step explanation:

a) Axis of symmetry equation is defined as

[tex]-b/2a[/tex] = x  (i memorized this)

Quadratic equation form:

[tex]ax^2+bx+c[/tex]

And our original equation:

[tex]x^2+2x-8[/tex]

So..

[tex]-2/2 = - 1[/tex]

So our axis of symmetry is at x = -1,

b) now vertex point can be found by plugging this value back into our original equation.

y = [tex](-1)^2+2(-1)-8[/tex]

y = 1 - 2 - 8

y = - 9

So our vertex is at (-1, -9)

c) Finally, lets factor

[tex]x^2+2x-8[/tex] = 0  (when finding the roots, set y = 0, because we are trying to find where we cross the x-axis)

[tex]x^2-2x+4x-8[/tex] = 0

[tex]x(x-2) + 4(x-2) = 0[/tex]

[tex](x-2)(x+4)=0[/tex]

x = 2; x = -4 <--- Roots