Which choice is equivalent to the quotient below? √16 OA. A OB. N/హ / OC. 2 D. √√2​

Which Choice Is Equivalent To The Quotient Below? 16 OA. A OB. N/ / OC. 2 D. 2

Answers

Answer 1

Answer:

C

Step-by-step explanation:

Please refer to the attached photo for step by step solutions.

Note: Square roots and squares will always cancel out each other.

Which Choice Is Equivalent To The Quotient Below? 16 OA. A OB. N/ / OC. 2 D. 2

Related Questions

N
Mason is creating a design using a straightedge and compass. He wants to construct a segment FG, which is congruent to segment BE in the
given figure.
A. the distance from B to E
To what width should Mason set his compass when constructing segment FG?
OB.
O C.
O D.
the distance from D to F
The distance from F to c
A
the distance from A to C
F
A
D

Answers

The width that Mason should set his compass when constructing segment FG is: A. The distance from B to E.

Width

FG should be congruent to segment BE. Based on this Mason should set his compass to the width of segment BE when Mason is constructing segment FG.

Hence, the width that Mason should set his compass when constructing segment FG is the distance from B to E which is option is A.

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Answer:

b to e

Step-by-step explanation:

plato

Find the product of X^2 (4x - 3).

A. 5x^3

B. 5x^3 - 3x^3

C. 4x^3 - 3x^2

D. X^2 + 4x - 3

Answers

x² ( 4x - 3)

Apply the multiplicative law of distribution.

x² × 4x - x² × 3

Multiply the monomial

4x³ - x² × 3

Multiply the monomial

4x³ - 3x² ==> Answer

Therefore, the correct option is "C".

EXTRA POINTS, AND ILL GIVE YOU BRAINLIEST
1 x/3 - 3/4 = 5/12 solve for x!

Answers

The solution to the expression x/3 - 3/4 = 5/12 is given as x = 7/2

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

Given the equation:

x/3 - 3/4 = 5/12

Hence:

x/3 = 5/12 + 3/4

x/3 = 7/6

x = 7/2

The solution to the expression x/3 - 3/4 = 5/12 is given as x = 7/2

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The average value of all the pennies, nickels, dimes, and quarters in Paula's purse is 20 cents. If she had one more quarter, the average value would be 21 cents. How many dimes does she have in her purse

Answers

Answer:

Step-by-step explanation:

The average value of all the pennies, nickels, dimes, and quarters in Paula's purse is 20 cents. If she had one more quarter, the average value would be 21 cents. How many dimes does she have in her purse

Solve for X.
X = [?]
5x - 16 X + 10

Answers

[tex] \boxed{ \sf{ \color{purple}\huge Answer :}}[/tex]

[tex] \: \: [/tex]

[tex] \large \tt \purple↪ \: \: \: \: \: 5x - 16 = x + 10 [/tex]

[tex] \: \: [/tex]

[tex]\large \tt \purple↪ \: \: \: \: \:5x - x = 10 + 16 [/tex]

[tex] \: [/tex]

[tex]\large \tt \purple↪ \: \: \: \: \: 4x = 26[/tex]

[tex] \: [/tex]

[tex]\large \tt \purple↪ \: \: \: \: \: x = \cancel\frac{26}{4} [/tex]

[tex] \: \: [/tex]

[tex] \underline{ \boxed{\large \tt \purple↪ \red{ \: \: \: \: x = \frac{13}{2} }}}{ \large✓}[/tex]

[tex] \: \: [/tex]

hope helps ~

One number is 4 more than another, and their sum is 60.
If x = the larger number and y = the smaller number, then which of the following systems could be used to solve for the value of the smaller number?

Answers

The larger number is 32 and the smaller number is 28 given that one number is 4 more than another and their sum is 60. This can be obtained by forming algebraic equation and finding

Calculate the value of the numbers:

Given that one number is 4 more than another,

⇒x = y + 4              (equation (1))

Their sum is 60,

⇒x + y = 60

y + 4 + y = 60      (From (1))

2y + 4 = 60

2y = 56 ⇒ y = 28

x = y + 4 = 28 + 4 ⇒x = 32

Hence the larger number is 32 and the smaller number is 28 given that one number is 4 more than another and their sum is 60.

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Bob rolls a fair six-sided die each morning. If Bob rolls a composite number, he eats sweetened cereal. If he rolls a prime number, he eats unsweetened cereal. If he rolls a $1$, then he rolls again. In a non-leap year, what is the expected value of the difference between the number of days Bob eats unsweetened cereal and the number of days he eats sweetened cereal

Answers

Bob eats a 171 days sweetened cereal and 194 days he eat unsweetened cereal.

According to the statement

we have given that the Bob rolls a composite number, he eats sweetened cereal. If he rolls a prime number, he eats unsweetened cereal.

and we have to find that the expected value of the difference between the number of days.

So, the total number of days in a year is 365 days.

Chance to get a prime number on a die = 3/6

Chance to get a prime number on a die = 1/2.

and chances to get a composite number = 2/6

chances to get a composite number = 1/3

and chances to get a 1 on a die = 1/6.

Then the expected value =

so, expected value = 365(1/6) + 365(1/3) + 365(1/2)

then after calculating

Expected value = 1+2+1

then the value become is 4

and by this way he eat 171 days sweet cereal and other days he eat unsweetened.

So, Bob eats a 171 days sweetened cereal and 194 days he eat unsweetened cereal.

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f(x)=x^2-x-56=0 what are the zeros in the function?
please help!!!

Answers

Answer:

-7, 8.

Step-by-step explanation:

x^2 - x - 56 = 0

Let's see if we can factor this function:

We need 2 numbers whose product is -56 and whose sum is -1 ( which is the coefficient of x).

They are  -8 and 7 , so the factors are:

(x - 8)(x + 7) = 0

x - 8 = 0 giving x =  8 and

x + 7 = 0 giving x = -7.

The zeros are -7, 8

Find the volume of a pyramid with a square base, where the side length of the base is
18.7 ft and the height of the pyramid is 8.8 ft.

Answers

Answer:

1025.76

Step-by-step explanation:

Formula for a right rectangular pyramid is (l*w*h)/3

The length and width are both 18.7, so we can plug that in. The height is 8.8.

It becomes:

(18.7*18.7*8.8)/3, which equals the answer above.

Suppose you are looking to purchase a new TV. You are placing it in an opening that is 136 cm wide but want to leave at least 2 cm of room on either side of the TV. If the TV screen measures 86 cm high, what is the largest size TVin inches, that you can purchase? TV's are measured based on the diagonal measure. (1inch = 2.54cm) Write your answer as an integer

Answers

Answer:

404 inches

Step-by-step explanation:

Since a room of 2cm is to be left of either side of the TV, thus, the permissible required length of the TV is 136-2 = 134cm

Use Pythagoras Theorem,

h² = 134² + 86² = 17956 + 7396 = 25352

h = √25352 = 159.22 ≈ 159cm = 404.41 inches ≈ 404 inches.

PLEASE HELP!!!! A bag contains 1 white (W), 3 blue (B1, B2, B3), and 2 red (R1, R2) marbles. (4 points)
a. Use a tree diagram to list all the possible outcomes for tossing a coin and then drawing a marble from the bag.
b. Are these independent or dependent events?
c. Find the probability of tossing a head and drawing a red marble. Explain your reasoning.
d. Find the probability of drawing two blue marbles if the first marble is not replaced. Explain your reasoning.

Answers

The answers are as follows:

a. There are 6 ways of tossing a coin and then drawing a marble from the bag. (Tree diagram is shown in the diagram below) The probability is 1/12.

b. These are independent events since tossing a coin does not affect the drawing of marble from the bag.

c. From the tree diagram, the probability of tossing a head and drawing a red marble is 1/6(since they are independent events).

d. The probability of drawing two blue marbles if the first marble is not replaced is 1/5(since they are dependent events).

What are compound events in probability?Two or more events that occur simultaneously or one after the other are said to be compound events. They are calculated by multiplying the probability of the first event by the probability of the second event.

Calculation:

It is given that a bag contains,

Number of white marbles(W) = 1

Number of Blue marbles (B) = 3

Number of Red marbles (R) = 2

Thus, there are 6 marbles in the bag. So, the sample space for drawing a marble = 6

a. Finding all the possible outcomes using a tree diagram:

The possible outcomes from the tree diagram are

(H, W), (H, B), (H, R), (T, W), (T, B),  and (T, R)

The probability of tossing head or tail = 1/2

The probability of drawing a marble from the bag = 1/6

So, the compound probability = (1/2)(1/6) = (1/12)

The sample space for this is 12.

b. Independent or dependent events:

These are independent events since the tossing of a coin does not affect the drawing of marble from the bag.

c. Finding the probability of tossing a head and drawing a red marble:

The probability of tossing a head = 1/2

The probability of drawing a red marble = 2/6 = 1/2

Since they are independent events,

The required probability = (1/2)(1/2) = 1/4

d. Finding the probability of drawing two blue marbles if the first marble is not replaced:

The probability of drawing a blue marble from the bag(1st attempt) = 3/6

The probability of drawing another blue marble from the bag (2nd attempt) = 2/5 (From the leftover marbles after the first attempt)

Since they are dependent events, the probability of the 2nd event is calculated only after the first event is calculated.

So, the required probability = (3/6)(2/5) = 1/5

Thus, all the probabilities are calculated.

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Find the fifth term and the nth term of the geometric sequence whose initial term a, and common ratio r are given.
a₁ = 5, r=2

Answers

Answer:

a₅ = 80 , [tex]a_{n}[/tex] = 5[tex](2)^{n-1}[/tex]

Step-by-step explanation:

to find a term in the geometric sequence multiply the previous term by r

a₁ = 5

a₂ = a₁ × 2 = 5 × 2 = 10

a₃ = a₂ × 2 = 10 × 2 = 20

a₄ = a₃ × 2 = 20 × 2 = 40

a₅ = a₄ × 2 = 40 × 2 = 80

the nth term of a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

here a₁ = 5 and r = 2 , then

[tex]a_{n}[/tex] = 5 [tex](2)^{n-1}[/tex]

This question is down below. Please solve in detail if you know how to solve.

Answers

Answer:

8.4 meters tall   ( one decimal place)

Step-by-step explanation:

See diagram below:

find distance 'd'   as     tan 68 = opp / adj = d/6

   then   d = 6 tan 68       =  14.85 m

Then find   h   as   tan 9  = h / d

                               d tan 9 = h

                              14.85  tan 9 = h = 2.35 m tall

                                      add the 6 m height of the house    8.4  m tall

The number of marriage licenses issued by Clark County Nevada, the county where Las Vegas is located, has been decreasing since the year 2000. Using the table, how many marriage licenses were issued in 2008? 2010 Year 105,000 2001 2003 2006 Marriage Licenses 141,000 133,000 121,000 A. 113,000 B. 121,000 C. 118,000 10 Points D. 102,000​

Answers

If the marriage licenses  issued in 2001,2003,2006,2010 were 141000,133000,121000,141000 then by solving arithmetic progression we will get that the marriage licenses issued in 2008 were 113000.

Given that the marriage licenses issued in 2001,2003,2006,2010 were 141000,133000,121000,141000.

We are required to find how many marriage licenses were issued in 2008.

Average difference between licenses issued from 2001 to 2003=

=133000-141000)/2

=-4000

Average difference between licenses issued from 2003 to 2006=

=(121000-133000)/3

=-12000/3

=-4000

Average difference between licenses issued from 2006 to 2010=

=(105000-121000)/4

=-16000/4

=-4000

It is an arithmetic progression because the difference between marriage issued from one year to another is equal.

An arithmetic progression is a sequence in which each terms are having equal difference between them.

Nth term=a+(n-1)d

8th term=141000+(8-1)*(-4000)

=141000+7*(-4000)

=141000-28000

=113000

Hence the marriage licenses issued in 2008 were 113000 which is

option A.

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You purchase 9.25 gallons of gasoline at $3.15/gallon. You also buy gum ($1.10) and
windshield wiper fluid ($4.97). The state has a food tax of 4% and you give the clerk $30.00
cash. You pay the rest with your debit card. How much is charged to your debit card?

Answers

Answer:

$ 5.25 is charged to debit card

Step-by-step explanation:

Add 4% food tax:

1.1*1.04 = 1.14 (rounded)

Total amount of purchase is:

9.25*3.15 + 1.14 + 4.97 = 35.25  

Subtract $30 paid in cash:

35.25 - 30 = 5.25

Answer:

$5.25

Step-by-step explanation:

Cost of gasoline

9.25 gallons at $3.15 per gallon:

⇒ 9.25 × $3.15 = $29.1375

Cost of gum

$1.10 plus 4% food tax:

⇒ $1.10 × 1.04 = $1.144

Total cost of purchases

Gasoline + gum + Windshield wiper fluid

⇒ $29.1375 + $1.144 + $4.97 = $35.2515 = $35.25 (nearest cent)

If $30.00 was paid by cash and the rest was paid for by debit card:

Debit card charge = $35.25 - $30.00 = $5.25

which relation is a function

Answers

B

a function is a relationship between inputs where each input is related to exactly one output.

The relation in option B is a function.

What is Function?

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

Given are 4 relations, A, B, C, D.

From the definition of function, it is clear that, no input value have more than one output value.

A : The value of x = -2 is mapping to 2, 1, 0, -1.

That is, an input value is having more than one output values.

So this is not a function.

B : Here the input values, 0, 1, 2 and 3 maps to -2.

Here the input values are distinct. No input values are mapping to more than one output value.

So this is a function.

C : Here 1 is mapping to -2 and 3. So not a function.

D : For x = 0, there are two y values, 3 and -3.

So this is not a function.

Hence option B is a function.

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What is the measure of angle ABC

Answers

Answer: A

Step-by-step explanation:

[tex]m\angle ABC=59^{\circ}[/tex] by the inscribed angle theorem.

A palindrome is a number that reads the same forward and backward. a palindrome will be designated good if the first half of the number is strictly increasing. (example: 123321 is good, and so is 454 or 16961, but 1224221 or 324423 are not good). how many 5-digit good palindromes are there?

Answers

The total number of 5 digit palindrome that we have is 900.

What is a palindrome?

This is the term that is used to refer to a number or a word phrase that is the same way when it is written from the front and from the back.

Examples of palindrome numbers are

10101 10201 10301 10401

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If 7.2 and 7.9 are two points on a number line , find the number in the middle of the points​

Answers

Answer:

7.55

Step-by-step explanation:

A midpoint can be found by doing 7.2 + 7.9 then dividing by the number of points (in this case 2).

The movement of the progress bar may be uneven because questions can be worth more or less
(including zero) depending on your answer.
What are the exponent and coefficient of the expression 46-³?
The exponent is 3 and the coefficient is -4.
The exponent is -3 and the coefficient is 4.
O
The exponent is -3 and the coefficient is -4.
The exponent is 4 and the coefficient is -3.

Answers

The correct answer “the exponent is 4 and the coefficient is -3”

Can someone help me please

Answers

Answer:

[tex]y=7x[/tex]

I hope this helps and that you can give a brainliest!

Step-by-step explanation:

If x and y vary directly, that means that y is directly proportional to x. So, the parent function is y = kx.

So, by plugging in the given y=42 when x=6 into this parent function, we get:

42=6k

If we solve for k, we end up with 7.

Now if we plug in the value of k back into the parent function of this scenario, we get:
[tex]y=7x[/tex]

given that the midpoints of pq is (-3,1) and q (7,5), obtain the co-ordinates of p

Answers

The coordinates of P are (-13, -3), given the coordinates of Q as (7, 5) and the coordinates of the midpoint of PQ as (-3, 1).

The midpoint of AB,  given any points A (x₁, y₁) and B(x₂, y₂) is given as point M = ({(x₁ + x₂)/2},{(y₁ + y₂)/2}).

In the question, we are given that the midpoint of PQ is (-3, 1) and point Q is (7, 5).

We are asked to find the coordinates of point P.

We assume the coordinates of point P as (x, y).

Thus, the midpoint of PQ = ({(x + 7)/2}, {(y + 5)/2}),

that is, (-3, 1) = ({(x + 7)/2}, {(y + 5)/2}).

Thus, we can show that:

(x + 7)/2 = -3,

or, x + 7 = -6,

or, x = -6 - 7 = -13.

(y + 5)/2 = 1,

or, y + 5 = 2,

or, y = 2 - 5 = -3.

Thus, the coordinates of P are (-13, -3), given the coordinates of Q as (7, 5) and the coordinates of the midpoint of PQ as (-3, 1).

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Which of the following equations will produce the graph shown below?

Answers

The equation that will produce the given graph is; 6x² + 6y² = 144

What is the equation of the Circle?

The standard equation of a circle can be expressed as:

(x + a)² + (y - b)² = r²

where;

(a, b) is the center of the circle

r is the radius of the circle.

From the diagram, we can see that the radius of the circle is between 4 and 5.  Thus, the correct equation must have a radius between these values.

From the option, we can see that the only equation that will have a radius between 4 and 5 is;

6x² + 6y² = 144

Divide through by 6 to get;

x² + y² = 24

x² + y² = √24

Thus r = √24 which is greater than 5

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Find the volume of this square
based pyramid.
12 cm
10 cm
10 cm
V = [?] cm³

Answers

Answer:

[tex]400m^3[/tex]

Step-by-step explanation:

Use the formula [tex]V=\frac{1}{3}Ah[/tex]

Where h=the height of the pyramid (12cm)

A=the base area of the pyramid, also known as the area of the square (10cm*10cm=100cm)

So, inserting this into the equation:

[tex]V=\frac{1}{3} (100)(12)[/tex]

[tex]V=\frac{1}{3} (1200)[/tex]

[tex]V=400m^3[/tex]

If there are n ants once a month how many will there be a month la

Answers

Answer: 3n ants

Step-by-step explanation:

         If there are n ants one month, and the ants triple every month, then next month there will be 3n ants.

         We can multiply 3 by n to show it tripling.

      To test this, 3(10,000) = 30,000 and 3(270,000) = 810,000, which corresponds to what you've filled out in the table.

HELPPPPPP MATHHHH pleaseee

Answers

Answer:

A

Step-by-step explanation:

Think about what you learned about the events during the Progressive time period. Drag and drop the tiles to match the descriptions.

Answers

The tiles to match the descriptions are;

Hull house - Neighbourhood assistance.

Muckrakers - Investigative journalists.

Protestants - Temperance movement.

Women's suffrage - Nineteenth amendment.

What is Progressive time period?

The Progressive Era, which encompassed the years between the 1890s and the 1920s in US history, was one of intense social and political reform with the goal of advancing the creation of a better society.

Case 1: The settlement home that welcomed newly arrived European immigrants to the United States in 1889 is known as Hull House. There were also social, educational, and artistic initiatives for immigrants in this building.

Case 2: Muckrakers A name used to describe a group of North American journalists in the early 20th century who made public criticisms of: government corruption, abuse of labor is destructive to society and is committed by influential people or institutions of the time.

Case 3: Third, the term "Protestantism" is used to describe a variety of 16th-century religious movements. Because the Catholic Church had a different understanding of the Bible's holy texts, this movement was distinguished by its break with it.

Case 4: The 19th Amendment to the United States Constitution, which was adopted in June 1919, guaranteed every American woman the right to vote.

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The complete question is-

Think about what you learned about the events during the Progressive time period. Drag and drop the tiles to match the

descriptions                        

Tiles;

Hull House

Muckrakers

Protestants

Women's Suffrage

Pairs;

Investigative journalists

Temperance Movement

Neighbourhood assistance

Nineteenth Amendment

x/2 + 11 = 19
solve this equation

Answers

Answer:

x/2 = 19-11

x/2 = 8

x = 8×2

x= 16

Answer:

x=16

Step-by-step explanation:

x/2 + 11 = 19

*2     *2    *2    Multiply 2 on both sides to make x stand by itself

x+22 = 38

  -22   -22

x=16

Check

Plug in 16 instead of x.

16/2 + 11 = 19

8+11=19

19=19

Hope it helps:)

Assuming a normal distribution, families spends an average of $500 on their monthly cell phone bills with a standard deviation of $75. What is the probability a random families' bill is between $350 and $400

Answers

There is a 0.02275 to 0.0968 chance that a random family's bill will be between $350 and $400.

Calculating the probability

Provided that,

Mean of the population = 500

The standard deviation(S.D) of the population = 75

Assume,the variable in normal distribution = X

Z= (x- mean)/ S.D

Provided , x = $350 - $400

Z= 350-500/75 = -2(when x=$350)

Z= 400-500/75 = -1.3 (taken x= $400)

The probability that a household will spend between $350 and $400 monthly

P(350>X<400) = P( -2>Z<-1.3)

                        = 0.02275 to 0.0968 (from probability table)

Therefore, the final answer is 0.02275 to 0.0968.

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can someone please help me

Answers

Based on definition of unit circle and angle properties on Cartesian plane, we find the following results: A: π/5, B: 3π/7, C: 4π/3.

How to determine angles in a unit circle

Units circles are commonly used to understand angles and trigonometric functions in a simple way. Vectors in a unit circle are ordered pairs of polar form: (x, y) = (cos θ, sin θ).

To solve this problem, we must take these tips into account:

Angles in the first quadrant are within 0 < θ < π/2.Angles in the second quadrant are within π/2 < θ < π.Angles in the third quadrant are within π < θ < 3π/2.Angles in the fourth quadrant are within 3π/2 < θ < 2π.

Then, we have the following results: A: π/5, B: 3π/7, C: 4π/3.

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