Find the square root of 784 using prime factorization.

Answers

Answer 1

Answer:

first check the smallest number that divide 784

i.e 2

784/2 = 392/2= 196/2 =98/2 =49/7=7

we get

748= 2*2*2*2*7*7

for square root take one out of 2 same number

square root of 784= 2*2*7 = 28

Answer 2

Answer:

28

Step-by-step explanation:

784=2×2​×2×2​×7×7​⇒784 ​=2×2×7=28


Related Questions

If my function rule is y=x + 3, what is the OUTPUT if the input is 4?

Answers

Answer:

7

Step-by-step explanation:

The output is 'y'. The input would be 'x'.

[tex]y=x+3\\\\y=4+3\\\\y=7[/tex]

The output should be 7.

Hope this helps.

The output for the function y=x + 3 at input x = 4  will be y = 7.

What is a function?

The expression that established the relationship between the dependent variable and independent variable is referred to as a function. In the function as the value of the independent variable varies the value of the dependent variable also varies.

Given the function is  y=x + 3. the value of the output at input x = 4 will be calculated as:-

y = x + 3

Put x = 4 in the function.

y = 4 + 3

y = 7

Therefore, the output for the function y=x + 3 at input x = 4  will be y = 7.

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find three consecutive odd integers with a sum of 75

Answers

Answer:

23, 25, 27

Step-by-step explanation:

first integer will be X, second will be (X+2), and the third will be (X+4). They will all be summed up and set equal to 75.

[tex](x) + (x + 2) + (x + 4) = 75[/tex]

combine like terms:

[tex]3x + 6 = 75[/tex]

subtract 6:

[tex]3x = 69[/tex]

divide by 3 to find value of X:

[tex] \frac{3x}{3} = \frac{69}{3} [/tex]

[tex]x = 23[/tex]

plug in X in o red der to finger the rest of the integers.

(X+2)= (23+2)=25

(X+4)= (23+4)=27

A scale drawing of a school bus has a scale of one/2 inches to 5 feet if the length of a school bus is 4 1 over2 inches on the scale drawing what is the actual length of the bus

Answers

Answer:

162

Step-by-step explanation:

help me please!!!!!!!​

Answers

Answer:

A'(-5, 6)B'(-5, 2)C'(-9, 2)D'(-9, 6)

Step-by-step explanation:

Rotation 180° about the origin changes the sign of every coordinate. The image coordinates are shown above.

how does a triangular prism look

Answers

Answer:

its like a 3d rectangle triangle

Step-by-step explanation:

yes

NEED HELP ASAP!!!! find the value of y, given that m< KLM = 134 degrees

Answers

Answer:

y=5.44

Step-by-step explanation:

47+16y=134 subtract 47 from both sides

16y=87

y=5.44

Is 144 a perfect square?

A. The whole number 144 is a perfect square because the square root of 144 is a whole number.

B. The whole number 144 is not a perfect square because the square root of 144 is not an irrational number.

C. The whole number 144 is a perfect square because 144 is divisible by 2.

D. The whole number 144 is a perfect square because 144 is divisible by 4.

Answers

Answer:

A,

Step-by-step explanation:

because the whole number 144 is a perfect square and the square root of 144 is also a whole number

(Show your working) I uploaded the question

Answers

x^2 = the first integer

(x - 1)^2 = the second integer.

x^2 - (x - 1)^2 = ?

First, let's plug a number into our equation for x.

(2)^2 - (2 - 1)^2 = ?

4 - (1)^2 = ?

4 - 1 = 3

As we can see the difference is odd but it's also the sum of the two consecutive integers.

2 + 1 = 3.

This works for all numbers. Let's plug another number into our equation for x.

(4)^2 - (4 - 1)^2 = ?

16 - (3)^2 = ?

16 - 9 = 7

4 + 3 = 7

Try any number and it will always be odd.

Solve.

h + 14 = -14

h =

Answers

Answer:

h= -28

Step-by-step explanation:

h+14=-14

 -14    -14

h= -28

What is a expanded form for 839,208

Answers

Step-by-step explanation:

800,000 + 30,000 + 9,000 + 200 + 8

. Classify the relationship between the pair of angles. ∠10 and ∠12.

Answers

Answer: consecutive interior angles

Step-by-step explanation:

3.a.Sketch a line through the point

(-2,5) such that as an x-value

increases by 3. the y-value

decreases by 2.

y

o

Answers

Answer:

Step-by-step explanation:

Let the equation of the line passing through a point (x', y') and slope 'm' is,

y - y' = m(x - x')

Since x-value increases by 3,

Δx = 3

And y-value decreases by 2,

Δy = -2

Therefore, slope = [tex]\frac{\triangle y}{\triangle x}[/tex]

Slope = [tex]-\frac{2}{3}[/tex]

Equation of the line passing through (-2, 5) and slope = [tex]-\frac{2}{3}[/tex] will be,

y - 5 = [tex]-\frac{2}{3}(x+2)[/tex]

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

y = [tex]-\frac{2}{3}x+\frac{11}{3}[/tex]

y = [tex]\frac{1}{3}(-2x+11)[/tex]

Table for input-output values will be,

x      -2         0         1          2         3

y       5        3.7       3        2.3      1.7    

We can plot these points to get the line on a graph.

h(x)=-3x+1
evaluate h(-2)

Answers

Answer:

h(-2) = 7

Step-by-step explanation:

Plug in -2 for h in the equation:

h(x) = -3x + 1

h(-2) = (-3)(-2) + 1

Remember to follow PEMDAS. First, multiply, then add:

Multiply. Note that when you multiply two negative numbers, the answer will be positive:

(-3) * (-2) = (3 * 2) = 6

Next, add:

h(-2) = 6 + 1 = 7

h(-2) = 7

h(-2) = 7 is your answer.

~

What is the solution of 2x(x+7)=0 if you are factoring​

Answers

Answer:

x= {0, 7}

Step-by-step explanation:

What is the mode of the data set? 2 0 5 7 8 9 8 2 1 8 A. 2 and 8 B. no mode C ,8 only D, 2 only

Answers

Answer:

The answer is C. 8

Step-by-step explanation:

First we should reorganize the data set so that it is easier to see the mode:

0, 1, 2, 2, 5, 7, 8, 8, 8, 9

Since mode is the value that occurs the most, we just have to look at the data set and find out which value here occurs the most:

0 - Once

1 - Once

2 - Twice

5 - Once

7 - Once

8 - Thrice

9 - Once

From this we can see that the value 8 occurs the most.

Therefore, the answer is C. 8

Givenf(x)=6(8−x)+5.
(a) What does the notation f (−2) mean? (b) What is the value of f (−2) ?

Answers

Answer:

b. 65

a. The notation f(-2) means that we want to evaluate the value of the equation when x = -2

Step-by-step explanation:

A. The notation f(-2) means that we want to evaluate the value of the equation when x = -2

B. We will simply substitute the value of 2 for x

f(x) = 6(8-x) + 5

f(-2) = 6(8 - (-2)) + 5

f(-2) = 6(8 + 2) + 5

f(-2) = 6(10) + 5 = 60 + 5 = 65

A line has a rise of 6 and a slope of 1/20.

Find the run of the line. Type a numerical answer in the space provided.

Answers

Answer:

120

Trust me it is correctGood Luck:)

The area of a square is 215 square cm. Find the length of a side to the nearest tenth. Find its perimeter.​

Answers

Answer:

Length of side = 14.7 cm

Perimeter = 58.7 cm

Step-by-step explanation:

Find the root of 215 to find the side length.

It is about 14.7 cm.

Then, multiply the length of the side by 4 to find the perimeter.

At what points do the the graphs of y = 2x+1 and y= -(x-1)^2+3 intersect?
O A. (-2, -6) and (2, 2)
O B. (-1, -1) and (1,3)
O C. (-3,5) and (2, 2)
O D. (1, 3) and (3,7)

Answers

The answer would be B. (-1,-1) and (1,3)

Hope that helped

Bob is hiking down a 12-mile country trail. He could hike at 3 mph for the first two hours and then go the rest of the way at 5 mph or he could just go the whole way at 4 mph. How long would each of these options take? Which option is the faster?

Answers

Answer:

The first option will take a total of 3.2 hours while the second option will take just 3 hours

This shows that the second option is faster

Step-by-step explanation:

Here, we want to compare two hiking options and see the one which is faster.

At any point in time;

Distance = speed * time

In the first option, he could hike at 3 mph for two hours.

Total distance covered would be 3 * 2 = 6 miles

Distance left = 12 miles - 6 miles = 6 miles

Time taken to hike 6 miles at 5 mph will be ; 6/5 = 1.2 hours

Total time for the first type hiking = 1.2 hours + 2 hours = 3.2 hours

For the second option;

Time = distance/speed = 12 miles/4 mph = 3 hours

We can see that the second option is faster

Here, we are required to determine how long each of the options take and which of the 2 options is faster .

Therefore;

Therefore;Option 1: 3.2hours

Therefore;Option 1: 3.2hoursOption 2: 3hours.

Therefore;Option 1: 3.2hoursOption 2: 3hours.Ultimately, since option 2 takes 3hours and option 1 takes 3.2hours to hike down the distance respectively, Option 2 is faster.

Total hiking distance = 12 miles

For first option;

He could hike at 3 mph for the first two hours and then go the rest of the way at 5 mph. The statement above suggests that after the first 2 hours, 6 miles will have been covered and the remaining 6 miles can be covered at 5mph in (6/5)hours = 1.2hours.Therefore, the total time taken using this option is;(2 + 1.2) hours = 3.2hours.

For second option;

He could go the whole way at 4mph.At this pace, he is able to travel the whole 12mile hiking distance in (12/4)hours.Therefore, the total time taken using this option is; 3hours.

Therefore;

Option 1: 3.2hoursOption 2: 3hours.

Ultimately, since option 2 takes 3hours and option 1 takes 3.2hours to hike down the distance respectively, Option 2 is faster.

Read more:

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A zoo has 1,361 visitors on Saturday and 549 visitors on Sunday. What is the best estimate of the total number of visitors?

Answers

Answer:

1,900

Step-by-step explanation:

Answer:

1900 is my pick

Step-by-step explanation:

2x^3 + x^2 – 7x – 6 divided by 2x +3

Answers

Answer:

x^2 -x -2

Step-by-step explanation:

Use polynomial long division.

           0 + x^2  -x  -2

           ___________________________________

(2x+3)  |  2x^3  +x^2  -7x  -6

           -2x^3  -3x^2

            _________

                      -2x^2 -7x

                      +2x^2  +3x

                       __________

                                   -4x  -6

                                    +2x  +6

                                   _______

                                          0

What is the domain of the relation {(1,-5), (2,3), (-6, -1), (2, 3), (-7, 8), (2, 3)}?

Answers

Answer:

all work is pictured and shown

Graph the equation
y = 4(x - 2)? - 6
Pro
Pio
9
Te
7
6
5
4
3
2
2
9.7.6.5.423.2
-3
-6
Do 4 problems
Donate
volunteer

Answers

Not sure about this one

Answer:

omg here is the answer

Step-by-step explanation:

Ms. Lady works-out with Ms. Beetle; her average crawling time has increased to 4 feet per minute, while Ms. Beetle, who is used to eating Hot Cheetos and watching TV, averages 2.5 feet per minute. While at Senn's Elm Tree-house, the three decide to experiment with linear equations. The objective is to end up at the Rose Bush at the same time. Senn still averages 5 feet per minute. How much of a head start does he need to give each of his friends in order for their function rules to intersect at 92 feet (the rose bush). What is the equation for each bug which makes their experiment successful? Create a table and graph representing the situation.

Answers

Answer:

Senn needs to give Ms. Lady 4.6 minutes  head start

Senn needs to give Ms. Beetle 18.4 minutes  head start

The equation for each bug are;

For Senn, the equation for the experiment is 5 × t₁ = 92 feet

For Ms. Lady, the equation for the experiment is 4 × (t₁ + 4.6) = 92 feet

For Ms. Beetle , the equation for the experiment is 4 × (t₁ + 18.4) = 92 feet

Please find attached the required graph and table of values

Step-by-step explanation:

The given parameters are;

The average crawling time of Ms. Lady = 4 feet per minute

The average crawling time of Ms. Beetle = 2.5 feet per minute

The average crawling time of Senn = 5 feet per minute

The distance to the rose bush = 92 feet

Therefore, we have;

The time, t, duration for Senn to arrive at the Rose bush is given by the following relation,

Time, t = Distance, d/(Speed, s)

Given that the speed of the bugs is equal to their average crawling time, we have

For Senn

Time, t = 92/(5 ft/Min) = 18.4 minutes

For, Ms. Lady

Time, t = 92/(4 ft/Min) = 23 minutes

For, Ms. Beetle

t = 92/(2.5 ft/Min) = 36.8 minutes

Therefore;

Senn needs to give Ms. Lady 23 - 18.4 = 4.6 minutes head start

Similarly, Senn needs to give Ms. Beetle 36.8 - 18.4 = 18.4 minutes  head start

The equation for each bug are therefore;

For Senn, the equation for the experiment is given as follows ;

5 × t₁ = 92 feet

For Ms. Lady, the equation for the experiment is given as follows;

4 × (t₁ + 4.6) = 92 feet

For Ms. Beetle , the equation for the experiment is given as follows;

4 × (t₁ + 18.4) = 92 feet.

Find the value of f(3)

Answers

I got the answer 3f there you go

Use elimination to solve and match each system of equations to the correct solution 5x=15-5y
8y+26=2r Brainliest to the first answer I get

Answers

Answer:

40x=120

10r=130

Step-by-step explanation:

8(5x=15-5y)= 40x=120-40y

5(8y+26=2r)= 40y+130=10r

40x=120-40y

10r=130+40y

40x=120

10r=130

This is as far as I could get because the two numbers have two different variables, I couldn't subtract or add. It would be like subtracting apples from oranges... you can't

   [tex]\begin{cases}5x=15-5y\\ 8y+26=2x\end{cases}\\\\\begin{cases}5x+5y=15\\ -2x+8y=-26\end{cases}\\\\\begin{cases}(5x+5y)\cdot2=15\cdot2\\ (-2x+8y)\cdot5=-26\cdot5\end{cases}[/tex]

+  [tex]\begin{cases}10x+10y=30\\ -10x+40y=-130\end{cases}[/tex]       (adding first equation to second)

   [tex]\begin{cases}10x+10y=30\\{}\qquad50y=-100\end{cases}\\\\\begin{cases}10x+10y=30\\{}\qquad y=-2\end{cases}\\\\\begin{cases}10x+10(-2)=30\\y=-2\end{cases}\\\\ \begin{cases}10x-20=30\\y=-2\end{cases}\\\\ \begin{cases}10x=50\\y=-2\end{cases}\\\\ \begin{cases}x=5\\y=-2\end{cases}[/tex]  

Is quadrilateral DEFG a parallelogram? Why or why not? Question 16 options: A) No, because opposite sides aren't parallel. B) Yes, because opposite sides aren't congruent. C) Yes, because opposite sides are parallel. D) There isn't enough information.

Answers

a) no because opp sides are not parallel

Answer:

No, because opposite sides aren't parallel.

Step-by-step explanation:I took the test

Please help me out with this question

Answers

Answer:

no. 4

Step-by-step explanation:

what does 52 belong to?natural,rational,integer,whole ?

Answers

Answer:

The number 52 is a rational number if 52 can be expressed as a ratio, as in rational. A quotient is the result you get when you divide one number by another number. For 52 to be a rational number, the quotient of two integers must equal 52. ... Thus, the answer to the question "Is 52 a rational number?" is YES.

Step-by-step explanation:

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