"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

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.

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:

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:

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.

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.

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

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

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:

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

What is negative 2 3/8 as a decimal?

Answers

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

another frreeeeee point now i got 0 great

Answers

Answer:

THXXX

Step-by-step explanation:

Answer:

TY! :D

Step-by-step explanation:

lol

(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.

someone help!!??? pleaseee

Answers

Answer:

I'm not sir but I think it is ISOSCELES

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)

What is the range of y = x + 20?

Answers

Y= 20
X=20
Explanation

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:

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

Do Anybody know this ?

Answers

Answer:

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

Step-by-step explanation:

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]

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!

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

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.


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

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

Answers

Answer:

90-39=51 thats a 90° angle

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

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.

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 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! :)

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.

NEED HELP ASAP!!!!!!!

Answers

x=45

Why?

Becuz this triangle relies on 180 degrees. So 180-170= 10
10+125=135
180-135=45
Other Questions
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 ? PLEASE ASAP!!Today, most film editors manually cut and splice the actual film footage once it arrives.O TrueO False read the poem:Come up from the fields father, heres a letter from our Pete,And come to the front door mother, heres a letter from thy dear son.Lo, tis autumn,Lo, where the trees, deeper green, yellower and redder,Cool and sweeten Ohios villages, with leaves fluttering in the moderate wind,Where apples ripe in the orchards hang and grapes on the trellisd vines,(Smell you the smell of the grapes on the vines?Smell you the buckwheat where the bees were lately buzzing?)Above all, lo, the sky so calm, so transparent after the rain, and with wondrous clouds,Below too, all calm, all vital and beautiful, and the farm prospers well.Down in the fields all prospers well,But now from the fields come father, come at the daughters call,And come to the entry mother, to the front door come right away.Fast as she can she hurries, something ominous, her steps trembling,She does not tarry to smooth her hair nor adjust her cap.Open the envelope quickly,O this is not our sons writing, yet his name is signd,O a strange hand writes for our dear son, O stricken mothers soul!All swims before her eyes, flashes with black, she catches the main words only,Sentences broken, gunshot wound in the breast, cavalry skirmish, taken to hospital,At present low, but will soon be better.Ah now the single figure to me,Amid all teeming and wealthy Ohio with all its cities and farms,Sickly white in the face and dull in the head, very faint,By the jamb of a door leans.Grieve not so, dear mother, (the just-grown daughter speaks through her sobs,The little sisters huddle around speechless and dismayd,)See, dearest mother, the letter says Pete will soon be better.Alas poor boy, he will never be better, (nor maybe needs to be better, that brave and simple soul,)While they stand at home at the door he is dead already,The only son is dead.But the mother needs to be better,She with thin form presently drest in black,By day her meals untouchd, then at night fitfully sleeping, often waking,In the midnight waking, weeping, longing with one deep longing,O that she might withdraw unnoticed, silent from life escape and withdraw,To follow, to seek, to be with her dear dead son...................................................................................................................................How does the language of the poem evoke a sense of a bygone time and place, specifically nineteenth century America?The poem's references to places and people are ones that existed in that period, but which do not exist today.The poem's depiction of the mother's sadness indicates a frailty or weakness that was commonly assigned to women in this period.The poem's explanations of the family's reaction suggest an ignorance or an innocence that people today would not exhibit.The poem's descriptions of the farm focus on natural elements, but make no mention of man-made tools or equipment. i) The energy stored in wound watch spring isa) K.Eb) P.Ec) Heat Energyd) Chemical Energy PLEASE HELP ASAPPPP!!??? How did the railroads deal with rapidly moving trains across the United States and differences in times ? To subtract integers youPls, tell me the steps to subtract integers IN YOUR OWN WORDS PLS. *I WILL MARK YOU BRANLIEST IF I GET IT RIGHT* This map shows west Africa at the time of medieval empires.What does B represent on the map? A. the Mali empireB. the Songhai empireC. the trans-Saharan trade routesD. the pilgrimage of Mansa Musa 7/4 fraction in lowest term What three things does Edward Bloor want his main characters to do? Scott is preparing a presentation on why participating in sports is important for children. What should he include in the introduction?a funny story and three main points that will be covered in the speechmajor details of the speech supporting three main points to be covereda summary of his conclusion that explains the three main points in the speechan explanation of the three main points, and details to back the points up Choose the correct spelling of the word. ammendment amendmant amendmint amendment Proponents of rational expectations argued that the sacrifice ratio:______.a. could be high because people might adjust their expectations quickly if they found anti-inflation policy credible. b. could be low because people might adjust their expectations quickly if they found anti-inflation policy credible. c. could be low because it was rational for people not to immediately change their expectations. d. could be high because it was rational for people not to immediately change their expectations. work out 1/27 write your answer mixed A weightlifter takes 0.5s to raise a barbell with 2 free-weights from the ground to a height of 0.9m. If each free-weight has a mass of 30kg and the barbell has a mass of 20kg, calculate how much power the weightlifter produces when lifting the barbell? kind of stuck here , & yeah I need help , please help omg- What are the origins and religious beliefs of Hinduism?multiple sentences please Which of the following was a tactic used by the US during the Vietnam War?spreading Agent Orangedisguising troops as the enemyfighting guerrilla warfaredisguising troops as civilians A 300 g bird flying along at 6.0 m/s sees a 10 g insect heading straight toward it with a speed of 30 m/s. the bird opens its mouth wide and enjoys a nice lunch. What is the bird's speed immediately after swallowing?