A filter in the shape of a cone has a diameter of 3 inches and a height of 4 inches.
How much liquid can the filter hold without it overflowing?
A.
B.
C.
D.

Answers

Answer 1

Answer:

9.42 cubic inches

Step-by-step explanation:

We are to find the volume of the cone.

The formula is given as:

1/3πr²h

From the question,

Diameter = 3 inches, Radius = D/2 = 3/2

r = 1.5 inches

h = 4 inches

Hence, the volume of the cone =

1/3 × π × 1.5² × 4

= 9.42 cubic inches

Therefore, the filter can hold 9.42 cubic inches of liquid without overflowing.


Related Questions

three less than eight times a number is at
least 15

Answers

Answer:

x >= 2.25

x is greater than or equal to 2.25

Step-by-step explanation:

8x - 3 >= 15

add 3 to both sides

8x >= 18

divide 8 from both sides

x >= 2.25

Answer:

x≥6

Step-by-step explanation:

8x

3 less goes to 8x-3

then there is at least 15 which changes to

8x-3≥15

Then solve for x:

add 3 to the sides--> 3x≥15+3

3x≥18

Divide both of the sides by 3

x≥6

Hope this helped!

Which are vertical angles? Check all that apply.
LEAB and BAC
LEAB and CAD
CAD and FAE
_CAB and 2DAE
E
DAC and 2DAE

The answer is b and d

Answers

The answer is B&D as you said

Answer:

Step-by-step explanation:

what are we supposed to check.......and by the way you have written the answer at below too

19 to 12. What is the percent decrease? Round your answer to the nearest percent.

Answers

19-12=7

19=100%

7=X

X=7×100/19

x=36,84

rounded 37%

It is estimated that the distance traveled by each volunteer driver at the Huntington VA Medical Center is normally distributed with a mean of 50 thousand miles and a standard deviation of 12 thousand miles each year. What percentage of drivers can be expected to travel either below 30 or above 60 thousand miles in a year?

Answers

Answer: 25.08%

Step-by-step explanation:

Given: Distance traveled by each volunteer driver is normally distributed.

Mean (\(\mu\)) = 50 thousand miles

standard deviation (\(\sigma\))=  12 thousand miles

Let X = distance traveled by each volunteer driver

Required probability : \(P(X<30)+P(X>60)\)

\(=P(\dfrac{X-\mu}{\sigma}<\dfrac{30-50}{12})+P(\dfrac{X-\mu}{\sigma}>\dfrac{60-50}{12})\\\\=P(z<-1.67)+P(z>0.83)\ \ \ [z=\dfrac{X-\mu}{\sigma}]\\\\= (1-P(z<1.67))+(1-P(z<0.83)\ \ \ [P(Z<-z)=1-P(Z<z)=P(Z>z)]\\\\= 2- P(z<1.67)-P(z<0.83)\\\\= 2- 0.9525-0.7967=0.2508\ \ [\text{By p-value table}]\)

Hence, percentage of drivers can be expected to travel either below 30 or above 60 thousand miles in a year = 25.08%

which of the following are a problem with a parallel conversion: (select all that apply) :a) there is a higher riskb) the old hardware might failc) there is a lower riskd) the users have to enter data into both systemse) there is an abrupt conversion

Answers

A parallel conversion is a method of implementing a new system in which the old and new systems run simultaneously for a period of time. While this approach can have its benefits, there are also potential problems that may arise.

One of the problems with a parallel conversion is that there is a higher risk, as there are two systems running at the same time, which can be costly and require additional resources. Another problem is that the old hardware might fail, which can cause data loss or delays in the conversion process. On the other hand, a lower risk may not be applicable in a parallel conversion because the risk factor is already high. Also, the users have to enter data into both systems, which can be time-consuming and prone to errors. Finally, an abrupt conversion is not applicable in a parallel conversion because both systems are running together. Overall, the parallel conversion method requires careful planning and execution to minimize the potential problems and ensure a smooth transition.

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hey I would like some help with solving for X in equations

Answers

An equation is two expressions that are equal to each other

2x + 5 = 10

The above is an example of an equation

A pet toy company performed an experiment to see how
many toys dogs might play with. Each of the 60 dogs
involved was put in a room with its owner and 4 different
toys.
The researchers recorded how many toys each of the 60
dogs used.
Fill in the blanks to complete the probability
distribution.
Do not round your answers.
Toys used
Frequency
Probability .05
0
3
1 2
2
0.25
3
3 4
21 12
9
0.35 0.2 0.15

Answers

The corresponding probabilities for these outcomes are 0.25, 0.35, and 0.15, respectively.

What is the probability?

Probability is the study of the chances of occurrence of a result, which are obtained by the ratio between favorable cases and possible cases.

To fill in the blanks, we need to use the given information to complete the probability distribution table.

We can see that there were 3 dogs (out of the 60) that did not use any toys, and the probability of a dog not using any toys is 0.05 or 5%. There were 12 dogs (out of the 60) that used 1 toy, and the probability of a dog using 1 toy is 0.2 or 20%. Similarly, there were 15 dogs that used 2 toys, 21 dogs that used 3 toys, and 9 dogs that used all 4 toys. The corresponding probabilities for these outcomes are 0.25, 0.35, and 0.15, respectively.

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A pet toy company performed an experiment to see howmany toys dogs might play with. Each of the 60 dogsinvolved

You work at Mike's pizza shop. You have the following information about the 7 pizzas in the oven: 3 of the 7 have thick crust and 2 of the 3 thick crust pizzas have mushrooms. Of the remaining 4 pizzas, 2 have mushrooms. Choose a pizza at random from the oven. Make a two-way table to model this chance process.
make a Venn diagram to model this chance process.

Answers

4/7 is probability a two-way table to model this chance process.

What are examples and probability?

A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

                                The likelihood of an event occurring increases as its probability increases. The flip of a fair (impartial) coin serves as a straightforward illustration.

No events getting thick crust pizza and getting pizza with mushrooms are not disjoint as we can have pizza that has thick crust and mushroom both.

No events are not independent as

P(thick and having mushroom) is not equal to P(thick crust)*P(having mushroom)

P( thick and having mushroom) = 2/7

P(thick crust) = 3/7

P( having mushroom) = 4/7

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Which of the following describes the function shown in the table below? x y -4 16 -1 2 2 0. 25 4 0. 0625 5 0. 03125 exponential, there is a constant rate of growth exponential, there is a constant rate of decay or decrease quadratic, there is a second degree change in the y-values quadratic, there is a constant difference between consecutive y-values.

Answers

The given table is an example of constant exponential decay.

It is given that

X          Y

-4          16

-1           2

2          0.25

4          0.0625

5          0.03125

What is an exponential function?

An exponential function is a relation of the form y = a^x, with the independent variable x ranging over the entire real number line as the exponent of a positive number a.

The y-value at -4 is 16 while the y-value at -1 is 2, a decrement of 1/8 times for an increment in x-value by 3

Again, the y-value at 2 is 0.25 while the y-value at 5 is 0.03125, a decrement of 1/8 times for an increment in x-value by 3.

In both cases, the rate of decrement is constant.

So we can say that this is an example of constant exponential decay.

We can also see this behavior from the attached graph.

Therefore, the given table is an example of constant exponential decay.

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Which of the following describes the function shown in the table below? x y -4 16 -1 2 2 0. 25 4 0. 0625

Find the area of the circle.
Use 3.14 for π. Do not round your answer.
12 in.
Area [?] inches²
:
=
Hint Area = πr²
Enter

Find the area of the circle.Use 3.14 for . Do not round your answer.12 in.Area [?] inches:=Hint Area

Answers

The area of the circle is 452.16 square inches

Area is the the total surface that is occupied by a two dimensional shape

The radius of the circle = 12 inch

The radius of a circle is the distance between the center and any point on the circumference of the circle

The area of the circle A = π×\(r^2\)

Where A is the area of the circle

r is the radius of the circle

π = 3.14

substitute the values in the equation

The area of the circle = 3.14 × \(12^2\)

= 3.14 × 144

= 452.16 square inches

Hence, the area of the circle is 452.16 square inches

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Help me plzzz!!! ASAP

Help me plzzz!!! ASAP

Answers

Answer:

6.0

Step-by-step explanation:

use demos.com it gives you the answers for these type of problems. just put in the equation and boom

Based on Exercise 9, prove that τ and σ are multiplicative. That is, prove that if m and n are relatively prime, then τ(mn)=τ(m)τ(n) and σ(mn)= σ(m)σ(n).

Answers

To prove that τ and σ are multiplicative, we need to show that if m and n are relatively prime, then τ(mn) = τ(m)τ(n) and σ(mn) = σ(m)σ(n).

To prove τ(mn) = τ(m)τ(n), we can start by considering the prime factorization of m and n. Let's say m = p₁^a₁ * p₂^a₂ * ... * pₖ^aₖ and n = q₁^b₁ * q₂^b₂ * ... * qₙ^bₙ, where p₁, p₂, ..., pₖ and q₁, q₂, ..., qₙ are distinct prime numbers. Since m and n are relatively prime, none of their prime factors overlap.

Now, the divisors of mn are the numbers of the form p₁^x₁ * p₂^x₂ * ... * pₖ^xₖ * q₁^y₁ * q₂^y₂ * ... * qₙ^yₙ, where 0 ≤ xᵢ ≤ aᵢ and 0 ≤ yⱼ ≤ bⱼ. Thus, the number of divisors of mn, τ(mn), can be calculated by multiplying the number of divisors of m, τ(m), with the number of divisors of n, τ(n). Hence, τ(mn) = τ(m)τ(n).

To prove σ(mn) = σ(m)σ(n), we can again use the prime factorization of m and n. Similar to the previous proof, the sum of divisors of mn, σ(mn), can be calculated by multiplying the sum of divisors of m, σ(m), with the sum of divisors of n, σ(n). Hence, σ(mn) = σ(m)σ(n).

Therefore, we have proved that τ and σ are multiplicative when m and n are relatively prime.

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We have shown that both τ and σ are multiplicative functions, satisfying the properties τ(mn) = τ(m)τ(n) and σ(mn) = σ(m)σ(n) for relatively prime numbers m and n.

To prove that τ (the number of positive divisors) and σ (the sum of positive divisors) are multiplicative functions, we need to show that for any two relatively prime numbers, m and n, the following properties hold:

1. τ(mn) = τ(m)τ(n)

2. σ(mn) = σ(m)σ(n)

Let's start with property 1:

1. τ(mn) = τ(m)τ(n)

If m and n are relatively prime, it means that they do not share any prime factors. Therefore, the divisors of mn are formed by taking a divisor of m and a divisor of n. Each divisor of mn can be uniquely expressed as the product of a divisor of m and a divisor of n.

Since the number of divisors of mn is equal to the product of the number of divisors of m and the number of divisors of n, we can conclude that τ(mn) = τ(m)τ(n).

Now let's move on to property 2:

2. σ(mn) = σ(m)σ(n)

Similar to property 1, we can express the sum of divisors of mn as the sum of products, where each product is formed by taking a divisor of m and a divisor of n. Again, since m and n are relatively prime, their divisors are distinct.

Using the distributive property, we can expand the sum of products as the sum of two separate terms: one involving the divisors of m and another involving the divisors of n. The sum of divisors of mn is therefore equal to the product of the sum of divisors of m and the sum of divisors of n.

Hence, we can conclude that σ(mn) = σ(m)σ(n).

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a researcher wants to compare performance scores for men versus women on a motor skills task. it would not be possible to use a repeated measures design for this study. true or false

Answers

True, a researcher wants to compare performance scores for men versus women on a motor skills task. it would not be possible to use a repeated measures design for this study.

What is a performance comparison?

They are frequently used while benchmarking, which is the practice of evaluating an organization's performance versus that of the best-performing businesses.

                 The measures are employed in productivity improvement projects to monitor changes in productivity over time.

Why is performance measurement important?

Comparing is one of the most important growth drivers. Only when we contrast our development with that of our rivals or our current performance with our former performance do we get motivated to advance and accomplish greater feats.

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solve y/3 +1 = 7/15 ​

Answers

Answer:

Step-by-step explanation:

y/3 + 1 = 7/15

y/3 = 7/15 - 1

y/3 = -8/15

y = -8/15 × 3

y = -8/5

hope this helps

plz mark as brainliest!!!!!!!!!

Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to find the probability of x successes given the probability p of success on a single trial.
n= 64, x= 3, p= 0.04

Answers

Answer:

0.2210

Step-by-step explanation:

If p = 0.04

then 1-p = 1 - 0.04 = 0.96

So we have the probability distribution value

as;

n C r * p^r * (1-p)^(n-r)

Thus;

64 C 3 * p^3 * (1-p)^(64-3)

= 64 C3 * 0.04^3 * 0.96^61

where 64 C 3 is 64 combination 3

= 41,664 * 0.04^3 * 0.96^61

= 0.2210

Given P(x)=x^3 +2x^2 +4x+8. Write P in factored form (as a product of linear factors). Be sure to write the full equation, including P(x)=.

Answers

The factored form of the polynomial P(x) = x³ + 2x² + 4x + 8 is P(x) = (x + 1)(x² + x + 7). The quadratic factor x^2 + x + 7 cannot be further factored into linear factors with real coefficients.

To factor the polynomial P(x) = x³ + 2x² + 4x + 8, we can look for potential roots by applying synthetic division or by using synthetic substitution. In this case, we can start by trying small integer values as possible roots, such as ±1, ±2, ±4, and ±8, using the Rational Root Theorem.

By synthetic substitution, we find that -1 is a root of the polynomial. Dividing P(x) by (x + 1) using long division or synthetic division, we get:

P(x) = (x + 1)(x² + x + 7)

Now, we need to factor the quadratic expression x² + x + 7. However, upon factoring this quadratic expression, we find that it cannot be factored further into linear factors with real coefficients. Therefore, the factored form of P(x) is:

P(x) = (x + 1)(x² + x + 7)

Please note that the quadratic factor x² + x + 7 does not have any real roots. Therefore, the complete factored form of P(x) is as given above.

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A department store sells a pair of shoes with an 56.3% markup. If the store bought the pair of shoes for $43.75, what is the selling price to the nearest cent?

Answers

Answer:

The selling price for the shoes will be $68.35

Step-by-step explanation:

How many keys are required to fully implement a symmetric algorithm with 10 participants?

Answers

The number of keys required to fully implement a symmetric algorithm with 10 participants is: 45 (Option C)

What is a Symmetric Algorithm?

Symmetric encryption or Algorithm is a kind of encryption that uses a single key (a secret key) to encrypt and decode electronic data.

The key must be exchanged between the organizations communicating using symmetric encryption so that it may be utilized in the decryption process.

What is the computation justifying the above result?

The formula that determines the number of keys necessary for a symmetric algorithm is given as;

(n*(n-1))/2,

which is 45 in this situation, when n = 10.

That is

(10 * (10-1))/2

= 45.

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Full Question:

How many keys are required to fully implement a symmetric algorithm with 10 participants?

A. 10

B. 20

C. 45

D. 100

(2/5)^3 x (2/5)^-6 = (2/5)^2P-1

Answers

Answer:

-1

Step-by-step explanation:

(2/5)^3-6=(2/5)^2p-1

there fore- 2p-1= -3

=>2p= -2

=>p= -1

Answer:

IN THE ATTACHMENT

Step-by-step explanation:

(2/5)^3 x (2/5)^-6 = (2/5)^2P-1

Help me please!!!!!!

Help me please!!!!!!

Answers

Answer:

72

Step-by-step explanation:

Just add up 45.3+26.7

45.3 + 26.7 = 72

Answer:

y= 72°

Step-by-step explanation:

If you add the two degrees you get 72.

45.3+26.7=y

45+26=71

.3+.7=1

71+1=72

Hope this helped.

A brainliest is always appreciated.

In the figure there are 5 equal rectangles and each of its sides is marked with a number as indicated in the drawing. Rectangles are placed without rotating or flipping in positions I, II, III, IV, and V in such a way that the sides that stick together in two rectangles have the same number. Which of the rectangles should go in position I?

In the figure there are 5 equal rectangles and each of its sides is marked with a number as indicated

Answers

The rectangle which should go in position I is rectangle A.

We are given that;

The rectangles A,B,C and D with numbers

Now,

To take the same the number of side

If we take A on 1 place

F will be on second place

And  B will be on 4th place

Therefore, by algebra the answer will be rectangle A.

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I need help fast I’m timed!

I need help fast Im timed!

Answers

Answer:

-5

Step-by-step explanation:

The fences will be aligned with the exterior angles 1 and 2. what are some other relationships you can see between 1,2,a, and b? (2 points)

please help


1.8.4

Answers

The relationships between angles 1, a, b, and 2 can be defined using the angles between parallel lines.

In the diagram, we can see the fences, making angles 1 and 2 with the parallel lines X and Y respectively.

Using the angles among parallel lines, we can state the relationships between angles 1, a, b, and 2 as follows:

Angle 1 and Angle a are adjacent angles, thus their sum is 180°, that is m∠ 1 + m∠ a = 180°.Angle 2 and Angle b are adjacent angles, thus their sum is 180°, that is m∠ 2 + m∠ b = 180°.Angle 1 and Angle b are corresponding angles, thus they are equal, that is m∠1 = m∠ b.Angle 2 and Angle a are corresponding angles, thus they are equal, that is m∠2 = m∠ aAngle 1 and angle 2 are co-exterior angles, thus their sum is 180°, that is, m∠ 1 + m∠ 2 = 180°.Angle a and angle b are co-interior angles, thus their sum is 180°, that is, m∠ a + m∠ b = 180°.

These were the relations among angles 1, a, b, and 2, using the parallel lines X and Y.

Refer to the diagram for a better understanding.

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The fences will be aligned with the exterior angles 1 and 2. what are some other relationships you can

Please help me I got quarantine and do not know what we are doing

Please help me I got quarantine and do not know what we are doing

Answers

the slope is how many units its goes up and how many it goes right basically rise/run

Help I’ll give you 30 points

Help Ill give you 30 points

Answers

Answer:

a) 16.25 centimeters

b) 6.8 centimeters

Step-by-step explanation:

We can set up a proportion for both of these problems.

a) Look at the longest side of each triangle. We can set up a fraction: 7.2/18. We can also set up a fraction for XZ and PR:

6.5/x

x represents the length you're trying to find.

Since the triangles are similar, we have an equation:

7.2/18=6.5/x

Cross multiply

16.25

XZ is 16.25 centimeters long.

b)

We can do same thing:

7.2/18=x/17

Cross multiply

6.8

QR is 6.8 centimeters long.

Hope this helps!

Answer:

QR = 6.8

XZ = 16.25

Step-by-step explanation:

We can use ratios to solve since the triangles are similar

7.2         QR

------- = ------------

18           17

Using cross products

7.2 *17 = QR*18

Divide by 18

7.2 *17/18 = QR*18/18

QR = 6.8

7.2          6.5

------- = ------------

18           XZ

Using cross products

7.2 XZ = 6.5*18

Divide by 7.2

7.2 XZ = 6.5*18/7.2

XZ = 16.25

33-9+40-(30+15) =?
with explanation please

Answers

The expression 33 - 9 + 40 - (30 + 15) simplifies to 19.

To solve the expression 33 - 9 + 40 - (30 + 15), we follow the order of operations, which is commonly known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).

Let's break down the expression step by step:

1. Inside the parentheses, we have 30 + 15, which equals 45.

The expression now becomes: 33 - 9 + 40 - 45.

2. Next, we perform the subtraction within the parentheses, which is 33 - 9, resulting in 24.

The expression now becomes: 24 + 40 - 45.

3. Now, we proceed with the addition from left to right. Adding 24 and 40 gives us 64.

The expression now becomes: 64 - 45.

4. Finally, we perform the subtraction, 64 - 45, which equals 19.

Therefore, the value of the expression 33 - 9 + 40 - (30 + 15) is 19.

In summary, we simplified the expression using the order of operations. First, we evaluated the expression within the parentheses, then performed the remaining addition and subtraction operations in the correct order. The result is 19.

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The question probable may be:

33-9+40-(30+15) = ??

Replace ( ?? ) with the correct answer and explaination​

Nora went shopping for a new phone because of a sale. The store was offering a 10% discount. If the price on the tag was $24, what would be the price after the discount but before tax, to the nearest dollar and cent?

Answers

Answer:

$21.6

Step-by-step explanation:

Given data

Cost of Phone= $24

Discount= 10%

Let us find the amount of the discount

=10/100*24

=0.1*24

=$2.4

Hence the amount paid after the discount

=24-2.4

=$21.6

Answer:

21.6

Step-by-step

BIG BRAIN AND MENTAL MATH

A right triangle and two of its side lengths are shown in the diagram. 11.9 cm 7.9 cm x cm Which measurement is closest to the value of x in centimeters?
6.3
4.0
14.3
19.8

Answers

The measurement that is closest to the value of x, in centimeters, is given as follows:

14.3.

How to obtain the value of x?

In this problem, we have a right triangle, in which the legs, which are the sides between the angle of 90º, are of 11.9 cm and 7.9 cm.

Then the hypotenuse x, which is the segment connecting both legs, is obtained using the Pythagorean Theorem.

The Pythagorean Theorem states that the measure of the hypotenuse squared is equals to the sum of the squares of the measures of each side.

Then the length of x is calculated as follows:

x² = 11.9² + 7.9²

x = square root of (11.9² + 7.9²)

x = 14.28.

Closest to 14.3, rounding to the nearest tenth, meaning that the third option is correct.  

Missing Information

We suppose that 11.9 cm and 7.9 cm are the measures of the legs.

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Determine the limit of the sequence or show that the sequence diverges by using the appropriate Limit Laws or theorems. If the sequence diverges, enter DIV as your answer. 4n 7 - Cnln 9n +4 lim Cn TL-100

Answers

Depending on the value of C, the limit of the sequence can either be \(\( \frac{{4 - C \ln(9)}}{{C}} \)\) or undefined (DIV).

To determine the limit of the given sequence, we can write it as:

\(\[ \lim_{{n \to \infty}} \left( \frac{{4n + 7 - Cn \ln(9n + 4)}}{{Cn}} \right) \]\)

We can apply limit laws and theorems to simplify this expression. Notice that as n approaches infinity, both 4n and \(\( Cn \ln(9n + 4) \)\) grow without bound.

Let's divide both the numerator and denominator by n to isolate the terms involving C :

\(\[ \lim_{{n \to \infty}} \left( \frac{{4 + \frac{7}{n} - C \ln(9 + \frac{4}{n})}}{{C}} \right) \]\)

Now, as n approaches infinity, the terms involving \(\( \frac{7}{n} \)\) and \(\( \frac{4}{n} \)\) tend to zero. Therefore, we have:

\(\[ \lim_{{n \to \infty}} \left( \frac{{4 - C \ln(9)}}{{C}} \right) \]\)

At this point, we need to consider the value of \( C \). If \( C \neq 0 \), then the limit becomes:

\(\[ \frac{{4 - C \ln(9)}}{{C}} \]\)

If C = 0, then the limit is undefined (DIV).

Therefore, depending on the value of C, the limit of the sequence can either be \(\( \frac{{4 - C \ln(9)}}{{C}} \)\) or undefined (DIV).

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can someone pls explain why the answer to this problem is a.​

Answers

Answer:

WHAT IS THE QUESTION HOW DO YOU EXPECT PEOPLE TO ANSWER IF WE DONT KNOW THE PROBLEM WE ARE NOT MIND READERS

Step-by-step explanation:

YOU LITERALLY WROTE EXPLAIN WHY THE ANSWER TO THIS PROBLEM IS A. WHERE IS THE PROBLEM

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