"If a number divided by 4 leaves remainder 2 or 3", then which one is the correct statement 'n why?
(a) The number is not a perfect square.
(b) The number is a perfect square.
(c) The number is a prime number.
(d)None of these​

Answers

Answer 1

Answer:

As the number is a prime number. Therefore, option 'c' is true.

Step-by-step explanation:

Let us take the number 7 and divide it by 4

[tex]\frac{7}{4}[/tex]

We know that

[tex]Quotient\frac{Remainder}{Divisor}[/tex]

as

[tex]\frac{7}{4}=1\frac{3}{4}[/tex]

so the remainder is 3.      ∵ [tex]Quotient\frac{Remainder}{Divisor}[/tex]

As 7 is a prime number, and when we divide the prime number 7 by 4, we get the remainder 3.

Thus, the number is a prime number. Therefore, option 'c' is true.


Related Questions

Six Sigma refers to achieving a process variability so small that the design specifications represent ___ standard deviations above and below the process mean.

Answers

Answer:

six

Step-by-step explanation:

Six sigma is defined as the method or a set of techniques that provides the provides the organization tools and techniques to improve the capability and and be efficient of their business process. It is a concept of process improvement.

It refers to the achieving of a process variability very small so that the design specification represents six standard deviations which is above as well as below the process mean.

someone help!!??? pleaseee

Answers

Answer:

I'm not sir but I think it is ISOSCELES

Plsssss help!!!!!!!!

Answers

Answer:

n=6t

Step-by-step explanation:

6 cars parked per hour

t is the hours

6 is the slope

y=mx+b

n=6t

Hope this helps.

Of the four choices given, which two, when written as a system, have a solution of (-4,5)?

Answers

Answer:

The answer is A. The first one.

I hope this helps. ;)

Answer:

It is A on edge 2020

Step-by-step explanation:

3/4
of a number is 24.
Find the number.

Answers

Answer:

32

Step-by-step explanation:

Divide 24 by 3/4 to find the number.

24 ÷ 3/4

= 24 × 4/3

= 32

Answer:

3/4×X=24

4×3/4×X=4×24

3x=96

X=32

Step-by-step explanation:

Plzzzz helppppp meeeeee

Answers

12 feet because that’s where graph lines up

Answer:

The answer is 12.

Explanation:

The bottom is seconds, and on the left side it is feet.

Look at the bottom and find the number 1.5.

Stop there on the line and move up until you hit the dark blue line.

It stops at 12. So that is your answer.

I hope this helps! Have a nice day!

NEED HELP ASAP!!!!!!!!

Answers

Answer:

x = 2.4

y = 31

Step-by-step explanation:

Angle B = 25x

BC = 31

therefore , this is an equilateral triangle all sides and angles are equal,

25x =60

x = 2.4

BC = BA = AC

y= 31

What is the range of y = x + 20?

Answers

Y= 20
X=20
Explanation

what number increased by 62%, results in the value of 59.94

Answers

Answer:

The number is : x = 37

Step-by-step explanation:

In order to solve this question, we may set up a proportion.

If the original number is 100%, 59.94 would be 162% of the original, as it was increased by 62%.

so

59.94 → 162%

x → 100%

solving the proportion gives you  

59.94 × 100 = 162 × x

x = (59.94 × 100)/162

x =  5994/162

x= 37

Thus, the number is : x = 37

1. A professional basketball used for league play has a diameter of 25 cm. Which of the following is closest to the volume of the basketball in cubic centimeters?​

Answers

Answer:

V = 8,181.23 [tex]cm^{3}[/tex]

Step-by-step explanation:

Unfortunately, we are not given any answer choices to choose from but using the information provided we can find the actual volume of the basketball. A basketball is made in the shape of a sphere and the formula for the volume of a sphere is the following...

V = [tex]\frac{4}{3} * \pi * r^{3}[/tex]

radius of a circle/sphere is half of it's diameter. Since we are provided the diameter size we simply divide it by 2 which would give us 12.5cm. Now we simply plug this value into the formula and solve for V.

V = [tex]\frac{4}{3} * \pi * 12.5^{3}[/tex]

V = [tex]\frac{4}{3} * \pi * 1953.125[/tex]

V = 8,181.23 [tex]cm^{3}[/tex]

How to Experiment Well
Assignment
Active
Assigning Treatment Groups
A beauty product company conducts a study to test the effectiveness of a new shampoo to control split ends. One
hundred subjects have volunteered to take part in the study, and will be split into a treatment group and a placebo
group. The study leader will assign the subjects to the groups randomly using slips of paper. Which reason identifies
why randomization is important?
It is important to make sure that groups have 50 people each.
It is important to make sure that the first 50 people to volunteer are not all in the same group.
It is important to make sure that people who do not currently have many split ends are placed in the placebo
group.
It is important that subject characteristics such as hair length, hair color, and gender are distributed equally
among the treatment groups.

Answers

Answer:

D: It is important that subject characteristics such as hair length, hair color, and gender are distributed equally among the treatment groups.

Is correct

=================

The answer for the question after is 50, which should be similar to the same question here.

=================

ED2021

Do Anybody know this ?

Answers

Answer:

R= 30-9t.... I think

Step-by-step explanation:

NEED HELP ASAP!!!!!!!

Answers

x=45

Why?

Becuz this triangle relies on 180 degrees. So 180-170= 10
10+125=135
180-135=45

What is the relationship between cos(90degrees) and cos(-90°)? ​

Answers

Answer:

The relationship between the two is that they are equal.

Step-by-step explanation:

Since y = cosx is a even function, that means that cosx = cos(-x). Therefore, cos 90 degrees = cos -90 degrees.

We can also test this out:

cos 90 = 0

cos -90 = cos 270 = 0

Therefore, this came to the same conclusion as our first solution.

I hope this helps! :)

(03.03 MC)
The table below represents a linear function f(x) and the equation represents a function g(x):
х f(x)
-1 -5
0 -1
1 3
g(x)
g(x) = 2x - 7

Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x).
(6 points)
Part B: Which function has a greater y-intercept? Justify your answer. (4 points)
(10 points)

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

Part a)

Finding the slope of f(x)

Given the table of the function f(x)

x        f(x)

-1        -5

0        -1

1          3

Finding the slope using the formula

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-1,\:-5\right),\:\left(x_2,\:y_2\right)=\left(0,\:-1\right)[/tex]

[tex]m=\frac{-1-\left(-5\right)}{0-\left(-1\right)}[/tex]

[tex]m=4[/tex]

Thus, the slope of the function f(x) = 4

Finding the slope of g(x)

We know the slope-intercept form of a linear function is

[tex]y = mx+b[/tex]

where m is the slope and b is the y-intercept

Given the function

[tex]g(x) = 2x-7[/tex]

comparing with the slope-intercept form

y = mx+b

The slope of the function g(x) = 2

Thus, we conclude that:

The slope of the function f(x) = 4The slope of the function g(x) = 2

Hence, the slope of f(x) is greater.

Part b)

Finding the y-intercept form of f(x)

We know that the y-intercept can be determined by setting x = 0 and determining the corresponding y-value.

From the table,

It is clear at x = 0, y = -1

Hence, the y-intercept of the function f(x) = -1

Finding the y-intercept form of g(x)

Given the function

[tex]g(x) = 2x - 7[/tex]

comparing with the slope-intercept form (y = mx+b)

[tex]y = mx+b[/tex]    

where b is the y-intercept

Hence, the y-intercept of g(x) = b = -7

Thus, we conclude that:

The y-intercept of the function f(x) = -1The y-intercept of the function g(x) = -7

Hence, the y-intercept of f(x) is greater.

Benny's water bottle has 15 ounces of
water and he drinks 0.5 ounces per
second. Juan's water bottle has 10
ounces of water and he adds 0.25
ounces per second. After how many
seconds will Benny's water bottle have
no more than Juan's?

Answers

Answer:

Benny's:[tex]15/0.5= 30 \\[/tex]

= 30 seconds to complete his bottle

Juan's = [tex]10/0.25 = 40[/tex]

= 40 seconds to complete his water bottle.

Step-by-step explanation:

Hope this helped you so much with your math problem, and I hope that I get brainly.

Write the slope-intercept form of the equation that is described below.

Through (3, 3) and perpendicular to y = 14x − 2

What is the equation?

Answers

Answer:

        y = -¹/₁₄x + 3³/₁₄

Step-by-step explanation:

If two lines are perpendicular then the product of theirs slopes is equal -1:

y=m₁x+b₁   ⊥   y=m₂x+b₂   ⇒    m₁×m₂ = -1

y = 14x - 2   ⇒   m₁=14

14×m₂ = -1        ⇒    m₂ = -¹/₁₄

The line y=-¹/₁₄x+b passes through point (3, 3) so the equation:

3 = -¹/₁₄×3 + b must be true

3 = -³/₁₄ + b

b = 3³/₁₄

Therefore equation in  slope-intercept form:

                                                y = -¹/₁₄x + 3³/₁₄

divide 123 by 13 with remainder

Answers

Answer:

9  Remainder 6

Step-by-step explanation:

Step 1:

Start by setting it up with the divisor 13 on the left side and the dividend 123 on the right side like this:

             

 1 3 ⟌ 1 2 3

Step 2:

The divisor (13) goes into the first digit of the dividend (1), 0 time(s). Therefore, put 0 on top:

       0    

 1 3 ⟌ 1 2 3

Step 3:

Multiply the divisor by the result in the previous step (13 x 0 = 0) and write that answer below the dividend.

       0    

 1 3 ⟌ 1 2 3

      0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (1 - 0 = 1) and write the answer below.

       0    

 1 3 ⟌ 1 2 3

     - 0    

       1    

Step 5:

Move down the 2nd digit of the dividend (2) like this:

       0    

 1 3 ⟌ 1 2 3

     - 0    

       1 2  

Step 6:

The divisor (13) goes into the bottom number (12), 0 time(s). Therefore, put 0 on top:

       0 0  

 1 3 ⟌ 1 2 3

     - 0    

       1 2  

Step 7:

Multiply the divisor by the result in the previous step (13 x 0 = 0) and write that answer at the bottom:

       0 0  

 1 3 ⟌ 1 2 3

     - 0    

       1 2  

         0  

Step 8:

Subtract the result in the previous step from the number written above it. (12 - 0 = 12) and write the answer at the bottom.

       0 0  

 1 3 ⟌ 1 2 3

     - 0    

       1 2  

     -   0  

       1 2  

Step 9:

Move down the last digit of the dividend (3) like this:

       0 0  

 1 3 ⟌ 1 2 3

     - 0    

       1 2  

     -   0  

       1 2 3

Step 10:

The divisor (13) goes into the bottom number (123), 9 time(s). Therefore put 9 on top:

       0 0 9

 1 3 ⟌ 1 2 3

     - 0    

       1 2  

     -   0  

       1 2 3

Step 11:

Multiply the divisor by the result in the previous step (13 x 9 = 117) and write the answer at the bottom:

       0 0 9

 1 3 ⟌ 1 2 3

     - 0    

       1 2  

     -   0  

       1 2 3

       1 1 7

Step 12:

Subtract the result in the previous step from the number written above it. (123 - 117 = 6) and write the answer at the bottom.

       0 0 9

 1 3 ⟌ 1 2 3

     - 0    

       1 2  

     -   0  

       1 2 3

     - 1 1 7

           6

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 123 divided by 13 calculated using Long Division is:

another frreeeeee point now i got 0 great

Answers

Answer:

THXXX

Step-by-step explanation:

Answer:

TY! :D

Step-by-step explanation:

lol

For his long distance phone service, Eric pays a $3 monthly fee plus 11 cents per minute. Last month, Eric's long distance bill was $21.59. For how many minutes was Eric billed?

Answers

Answer:

169 minutes

Step-by-step explanation:

Hope you have a great day and good luck for tests and upcoming exams.

What is negative 2 3/8 as a decimal?

Answers

-2.375 is it as a decimal
My dude It’s -2.375!!!!!

If Karen's 45 minute lunch break ended at 12:30 P.M., what time did her lunch break begin?

Answers

Answer:

11:45 PM

Step-by-step explanation:

please mark brainliest :D

A consumer advocate group selects a random sample of 205 snow foods in find 174 of them contain more what is indicated on the snacks nutritional information. Create a 90% confidence interval for the population proportion for a snack foods that contain more fat grams and was indicated on the snacks nutritional information

Answers

Answer: (0.809, 0.891)

Step-by-step explanation:

Let p = population proportion for a snack foods that contain more fat grams and was indicated on the snacks nutritional information .

As per given , we have

Sample size : n= 205

Sample proportion: [tex]\hat{p}=\dfrac{174}{205}\approx0.85[/tex]

z-value for 90% confidence = 1.645

Confidence interval for p: [tex]\hat{p}\pm z^* \sqrt{\dfrac{p(1-p)}{n}}[/tex]

[tex]0.85\pm (1.645)\sqrt{\dfrac{(0.85)(1-0.85)}{205}}\\\\=0.85\pm (1.645)\sqrt{\dfrac{0.85\times0.15}{205}}\\\\= 0.85\pm (1.645)\sqrt{0.000621951219512}\\\\=0.85\pm0.041\\\\=(0.85-0.041,\ 0.85+0.041)\\\\= (0.809,\ 0.891)[/tex]

Hence, the required confidence interval = (0.809, 0.891)


Suppose it takes John 45 minutes to run 4 miles. How long would it take him to run 4 kilometers? Round your answer to the nearest minute

Answers

Answer:

28 minutes

Step-by-step explanation:

4 miles = 45 minutes

4 kilometers = (m) minutes

45 ÷ 4= 11.25

4 kilos= 2.48548 miles

2.48548 x 11.25= 27.96165

m = 28 minutes

- I hope this helps have a great day

John will covers 4 km distance in 28 minutes.

What is Rate of change?

A rate is anything that can be measured over time. Common rates include velocity (which is the rate of distance traveled), power (rate of work being done), etc. All these have one thing in common which is that they are all divided by the amount of time it took to obtain a certain measurement.

Here, it is given that John takes 45 minutes to run 4 miles and is known that :

1 mile ≈ 1.61 km

that is for,

4 mile ≈ 6.44 km

John covers 6.44 km in 45 minutes, John will cover 4 km in :

6.44 km ⇒  45 minutes

1 km ⇒ 45/6.44 minutes

4 km ⇒ 4 x (45/6.44) minutes ≈ 28 minutes

Therefore, John will covers 4 km distance in 28 minutes.

Read more about ratio at:

https://brainly.com/question/17869111

#SPJ2

random............... ​

Answers

The greatest common factor is 7 because both numbers are divisible by 7 and it’s the highest number they are divisible by
the answer is 7.

14 is only divisible by 1,2,7 and itself.
49 is only divisible by 1,7 and itself

Kathryn's water bottle holds 20.25 ounces. Her doctor told her to drink half her body weight in ounces of water. Kathryn weighs 121.5 pounds. How many water bottles will she have to drink? (There is no convesion required from ounces to pounds)

Answers

Answer: She have to drink 3 bottles of water.

Step-by-step explanation:

Given: Weight of Kathryn = 121.5 pounds

half of her weight = [tex]\dfrac{121.5}{2}=60.75\text{ pounds}[/tex]

So, she need to drink 60.75 pounds of water.

Kathryn's water bottle holds 20.25 ounces.

Number of water bottles she need to drink = (half of her weight) ÷ (Capacity of bottle)

[tex]=\dfrac{60.75}{20.25}\\\\=\dfrac{6075}{2025}\\\\=3[/tex]

Hence, she have to drink 3 bottles of water.

Roberto evaluated 34 ÷ 45 and got an answer of 1516. Which statement is true about his answer?

Answers

Answer:

Roberto is correct because 15/16 x 4/5 = 3/4.

Roberto's solution to the division problem is correct, but

there are no true statements on your list of choices.

Answer:

Roberto is correct because 15/16 x 4/5 = 3/4.

Step-by-step explanation:

Find the distance, midpoint, and slope of line AB (-2,-1) and B(6,3)

Answers

Answer:

The correct answer is (2,1)

Step-by-step explanation:

The distance, midpoint, and slope  are 4√5 , (2 , 1) , 1/2 respectively.

What are the distance, midpoint, and slope  between two points?

For any two points A( x₁ , y₁ ) B( x₂, y₂)   the distance, midpoint, and slope  are given by:  1)     [tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]  

                       2)  M(x , y) = { (x₁ + x₂)/2 , (y₁ + y₂)/2 }

                      3)  m= y₂ - y₁ / x₂ - x₁

Given here the points A(-2,-1) and B(6,3)

substituting the values we get,

1) [tex]d = \sqrt {\left( {-2- 6} \right)^2 + \left( {-1 - 3} \right)^2 }[/tex]    

  [tex]d = \sqrt {\left( {8 } \right)^2 + \left( {4 } \right)^2 }[/tex]

[tex]d = \sqrt {\left( 80{ \right)^ }[/tex]

[tex]d =4\sqrt {\left5 }[/tex]

2)      M(x , y) = { (-2 + 6)/2 , (-1 + 3)/2  }

                     =  (2 , 1)

3)  m = { (6 - (-2) / (3 - (-1)) }

        = 1/2

Hence,  distance, midpoint, and slope  are 4√5 , (2 , 1) , 1/2 respectively.

Learn more about  distance, midpoint, and slope here:

https://brainly.com/question/28322015

#SPJ2

What’s the answer ? Im too tired fa this shi

Answers

Answer:

90-39=51 thats a 90° angle

K is between J and L. JK = 3x – 5, and KL = 2x + 1. IfJL = 16, what is JK?
A. 7
B. 8
C. 9
D. 13

Answers

Answer:

If JL = 16, we will get JK = 7

Option A is correct option.

Step-by-step explanation:

We are given:

K is between J and L

JK = 3x – 5, and KL = 2x + 1.

IfJL = 16, what is JK

We know that K is between J and L it means it divides JL into JK and KL equally or we can say that adding JK and KL we can get JL

So, We can write:

[tex]JL = JK + KL\\16=3x-5+2x+1[/tex]

Solving the expression we can find first value of x and then value of JK

[tex]16=3x-5+2x+1\\16=5x-4\\16+4=5x\\20=5x\\x=\frac{20}{5}\\x=4[/tex]

So, we get x = 4

Now, put the value of x in JK=3x-5 to get value of JK

[tex]JK = 3x-5\\JK=3(4)-5\\JK = 12-5\\JK=7[/tex]

So, if JL = 16, we will get JK = 7

Option A is correct option.

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Which of these is not a human activity that impacts the environment?AtransportationBconstructionCphotosynthesisDmanufacturing The cost of an limited edition figurine starts at $255 and it increases in value by 8% each year. What is the growth or decay rate as a decimal? What is the initial value? Write an exponential model that represents the cost f (t) of the figurine t years after it's bought. After 6 years the figurine's value is ? 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