why is it important to break down the radical into its prime factor?

Answer:

36 i think

Step-by-step explanation:

Answer:

14?

Step-by-step explanation:

Answer:

about 91.2 cm³

Step-by-step explanation:

Radius (r) = diameter / 2 = 4.4 / 2 = 2.2

Volume of cylinder = πr²h, we know π = 3.14, r = 2.2 and h = 6

V = 3.14 * 2.2² * 6 = 91.2

Answer:

91.2

Step-by-step explanation:

To find the volume you need to use the formula [tex]\pi r^2h[/tex]

When you substitute all of the numbers the answer will be 91.1856

Answer:

a. 0.2061*2000 apples = 412.20 or about 412 apples.

b. 0.2389*2000 apples = 477.8 or about 478 apples.

Step-by-step explanation:

We have to find the corresponding probabilities using the standard normal table (or also we can use statistics software for doing this).

The parameters for this normal distribution are (without using units):

The mean, [tex] \\ \mu = 8.2[/tex].

The standard deviation, [tex] \\ \sigma=2.8[/tex]

We need to use z-scores, given by:

[tex] \\ z = \frac{x-\mu}{\sigma}[/tex]

For a diameter smaller than 5.9cm, we have:

[tex] \\ z = \frac{5.9-8.2}{2.8}[/tex]

The value for z:

[tex] \\ z = -0.82142 \approx -0.82[/tex]

Then, find the cumulative probability for this z, P(z<-0.82), using the standard normal table (for this, use -0.8 (in right column), and -0.02 in the first row of the table).

Then, P(z<-0.82) = 0.2061

How many apples would have a diameter: a) smaller than 5.9cm?

The answer is 0.2061*2000 apples = 412.20 or about 412 apples.

How many apples would have a diameter: b) larger than 10.2cm?

We can proceed similarly as before. Calculate z, find the cumulative probability using the standard normal table.

[tex] \\ z = \frac{10.2-8.2}{2.8}[/tex]

[tex] \\ z = 0.71428 \approx 0.71[/tex]

Then, P(z<0.71) = 0.7611

But we are asked for P(z>0.71), then (because of the symmetry of the normal distribution):

P(z>0.71) = 1 - P(z<0.71)

P(z>0.71) = 1 - 0.7611

P(z>0.71) = 0.2389

The answer is 0.2389*2000 apples = 477.8 or about 478 apples.

Answer:

24 feet cubed

Step-by-step explanation:

When comparing the volume formula for a cone and the volume formula for a cylinder, a cone is 1/3 of a cylinder. Therefore, divide 72 by 3 to get the volume of a cone with the same base and height. It would not be 24 pi feet cubed because 72 feet cubed is already multiplied by the pi.

Answer:

24 feet cubed

Step-by-step explanation:

Volume formula:

The ratio:

Plugging in the value of cylinder to find the value of cone:

24 feet cubed is the best estimate

Answer:

-8 degrees

Step-by-step explanation:

12-4 is 8 so the difference is -8

Hey there!

Let's look for some patterns here.

In the first triangle, we see that there are six dots in total.

In the second triangle, there are nine dots in total.

And, for the third one, we see that there are 12 dots in total.

So, we see that it is counting up by threes because there is one more added to each side.

This is an arithmetic sequence, which means that there is a pattern of adding or subtracting from a base over and over again. There is a specific formula for calculating a certain term in a sequence and you can find proofs of it out there on the internet, but here is the formula.

To find a certain number in a sequence (in our case, 200), you

STEP 1: Take that certain number and subtract 1

200-1=199

STEP 2: You multiply this by the common difference, which is what you add or subtract to make the series. Since we keep on adding 3, our common difference is 3.

199×3=597

STEP 3: You add the first term in the series. In our case, this is the number of dots on the first triangle, which is six.

597+6=603

Therefore, the total number of dots on the 200th triangle of this sequence is 603 dots.

Now you can find a certain term in an arithmetic sequence! Have a wonderful day! :D

Answer:

Below in bold.

Step-by-step explanation:

24 ÷ [ 33- (1+2)^2]

= 24 / ( 33 - 3^2)

= 24 / 24 = 1.

21 + 3 (2-2^2)

= 21 + 3(2 - 4)

= 21 + 3 * -2

= 21 - 6

= 15.

[(14+√4)÷2^3] - 14

= [ (14 + 2) / 8] - 14

= 16/8 - 14

= 2 - 14

= -12.

20 + [18÷(4+1)] - (3^2 + 2)

= 20 + [18÷ 5] - (9 + 2)

= 20 + 3.6 - 11

= 23.6 - 11

= 12.6.

Answer: (0.4016, 0.4984).

Step-by-step explanation:

Let p be the proportion of voters will vote for Candidate A for president.

Formula for confidence interval for proportion:

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

, here [tex]\hat{p}[/tex]= sample proportion

n= sample size.

z* =two-tailed critical z- value.

As per given, we have

n= 700

[tex]\hat{p}[/tex] = 0.45

Critical two-tailed z-value for 99% confidence interval = 2.576

Then, the required 99% confidence interval for p would be:

[tex]0.45\pm (2.576)\sqrt{\dfrac{0.45(1-0.45)}{700}}\\\\=0.45\pm(2.576)\sqrt{0.000353571428}\\\\=0.45\pm (2.576)(0.0188035)\\\\=0.45\pm0.04844\\\\=(0.45-0.048437,\ 0.45+0.048437)\\\\=(0.401563,\ 0.498437)\approx(0.4016,\ 0.4984)[/tex]

Hence, the required confidence interval (0.4016, 0.4984).

Answer:

7, 10, 15, 22, .... 106

3, 12, 27, 48, .... 300

Step-by-step explanation:

Plug n as 1, 2, 3, 4, and 10 to find the terms.

(a)

1² + 6

1 + 6 = 7

2² + 6

4 + 6 = 10

3² + 6

9 + 6 = 15

4² + 6

16 + 6 = 22

10² + 6

100 + 6 = 106

(b)

3(1)²

3(1) = 3

3(2)²

3(4) = 12

3(3)²

3(9) = 27

3(4)²

3(16) = 48

3(10)²

3(100) = 300

Answer:

a) n²+6

U1 = 1²+6 = 1+6=7

U2= 2²+6 = 4+6 = 10

U3= 3³+6= 9+6= 15

U4= 4²+6= 16+6 = 22

U10= 10²+6 = 100+6= 106

So= 7, 10, 15, 22,... 106

b) 3n²

U1= 3(1)²= 3(1)= 3

U2= 3(2)²= 3(4) = 12

U3= 3(3)²= 3(9)= 27

U4= 3(4)²= 3(16)= 48

U10= 3(10)²= 3(100)= 300

So= 3, 12, 27, 48,..., 300

Answer:

Number of students van can carry = 11

Number of students bus can carry = 41

Step-by-step explanation:

Given the following :

HIGH SCHOOL A:

Number of students = 184

Number of vans(v) = 13

Number of buses(b) = 1

Mathematically,

13v + 1b = 184 - - - - (1)

HIGH SCHOOL B:

Number of students = 520

Number of vans(v) = 10

Number of buses(b) = 10

Mathematically,

10v + 10b = 520 - - - - (2)

Multiply (1) by 10 and (2) by 1

130v + 10b = 1840 - - - (3)

10v + 10b = 520 - - - (4)

Subtract (4) from (3)

120v = 1320

v = 11

Substitute v = 11 into (1)

13(11) + 1b = 184

143 + b = 184

b = 184 - 143

b = 41

Number of students van can carry = 11

Number of students bus can carry = 41

Answer:

can u please type out the photo is too dark to see the questions

Step-by-step explanation:

Answer:Si está tratando de ahorrar dinero a través de un presupuesto pero todavía acarrea una deuda grande, comience por la deuda. ¿No está convencido? Sume cuánto gasta por mes en la manutención de la deuda y rápidamente se dará cuenta. Una vez que esté libre de pagar intereses sobre su deuda, ese dinero puede ahorrarse fácilmente. Una línea de crédito personal es solo una opción para consolidar la deuda, para poder cancelarla mejor.

Step-by-step explanation:

Answer: A. Cash

Cash is the most liquid, meaning that it can be accessed quickly and (nearly) everyone accepts it as payment. Though there are some vendors who only accept credit cards.

CD stands for Certificate of Deposit. This is like a savings account but with a higher interest rate. The catch is that the money must be locked into the account for a certain length of time. You cannot withdraw the money unless you want to incur a penalty.

Answer:

arccsc(x)=1/cos(x)

Step-by-step explanation:

Answer:

the answer to your question is D

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

You could divide this into several smaller shapes, such as triangles and trapezoids.  But with this one, it might be simpler to count the full squares, half squares, and partial squares.

Full square - 4

Half squares - 3 ( for an area of 1.5)

Two squares divided in half - 2

Three squares divided in half - 1 (for an area of 1.5)

4+1.5+2+1.5=9

Answer:

9

Step-by-step explanation:

A simpler way of doing this is using pick's theorem.

Pick's theorem is:

i + b/2 - 1 which translates to: interior points + boundary points/2 - 1

Interior points: There is 5 interior points

Boundary points: There is 10 boundary points

 ---> 5 + 10/2 - 1

               = 9

Answer:

it's too late it's been 2years

Answer:

8 inches

Step-by-step explanation:

For this the length is 11 inches, and when u subtract 3 from that you get 8. 11×2 is 22, 8×2 is 16

22+16=38

Answer:

8 inches

Step-by-step explanation:

P = 2w + 2l

l = w + 3

38 = 2w + 2(w + 3)

38 = 2w + 2w + 6

38 - 6 = 4w

4w = 32

w = 32 : 4

w = 8 inches

Answer:

c=8

Step-by-step explanation:

do find c, we do 64/8=8. We can check our work by doing 8*8 which is in fact 64

Answer:

a horse running around a race track and

a person running down a field to score a touchdown

DONT HAVE ENOUGH INFORMATION

the two graphs are proportional to time and

a dog jumping at a constant speed for 20min and

a truck passing through 4 cities at a constant speed are not proportional to time because they are constant

Step-by-step explanation:

Answer:

81

Step-by-step explanation:

Answer:

7/13

Step-by-step explanation:

add all outcomes: 8 + 6 + 5 + 7 = 26

landing yellow or orange: 8 + 6 = 14

14/26 simplified 7/13

The Experimental probability of the spinner landing on yellow or orange is 7/13.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

Yellow= 8

Orange = 6

Red= 5

Blue = 7

Total = 8+6+5+7= 26

So, the Experimental probability of the spinner landing on yellow or orange.

= 8/26 + 6/16

= 14/16

= 7/13

Learn more about Probability here:

https://brainly.com/question/30034780

#SPJ6

Answer:

c. (x-3) is not a factor.

Step-by-step explanation:

Answer:

f(x) = 16 * ( 3/4) ^x

Step-by-step explanation:

y = a ( b) ^x

where a is the initial value and b is the growth rate

We know when x =0 y = 16

and when x = 1 y = 12

16 = a * b^0

16 = a * 1

a = 16

So the initial value is 16

12 = 16 * b^ 1

Divide each side by 16

12/16 = b^1

3/4 = b

y = 16 * ( 3/4) ^x

Greetings from Brasil...

In the statement are given 2 moments:

X = 0 ⇒ F(0) = 16

and

X = 1 ⇒ F(1) = 12

F(X) = a . bˣ

F(0) = a . b⁰

16 = a . 1

a = 16

F(X) = a . bˣ

F(1) = a . b¹         a=16  calculated above

12 = 16 . b

b = 12/16

b = 3/4 = 0,75

so,

slope = -5, y intercept = 5

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

Explanation:

The given equation has slope 1/5. We can see that by comparing it to y = mx+b, with m as the slope.

Flip the fraction and the sign to go from 1/5 to -5/1 = -5. The perpendicular slope is -5. We can stop here since only choice B has such a slope.

---------------

If you're curious about finding the y intercept, then you would use m = -5 along with (x,y) = (2,-5) to find the value of b

y = mx+b

-5 = -5(2)+b

-5 = -10+b

-5+10 = -10+b+10 ... adding 10 to both sides

5 = b

b = 5 is the y intercept

So we have y = mx+b update to y = -5x+5 as the perpendicular line.

Answer:

[tex]y = - 5x + 5[/tex]

Step-by-step explanation:

[tex]y = \frac{1}{5} x + 5 \\ m = \frac{1}{5} \\ m1 = \frac{ - 1}{m2} [/tex]

.

[tex] \frac{1}{5} = \frac{ - 1}{m2 } \\ m2 = - 5 \\ x = 2 \: y = - 5 \\[/tex]

[tex] y = mx + c \\ - 5 = - 5(2) + c \\ - 5 = - 10 + c \\ - 5 + 10 = c[/tex]

[tex]c = 5 \\ m = - 5 \\ y = mx + c \\ y = - 5x + 5[/tex]

Answer:

19:36.83 or 37        20:4.5

Step-by-step explanation:

Answer:

For #19, it would probably be around 37

For #20, it would be 4.5.

Step-by-step explanation:

For #19, the mean is 36.83333.... so a reasonable prediction would be about 37 ˚C.

For #20, the list would be in this order:

3.2, 3.9, 4.5, 4.6, 5.5, 6.5, 8.7, 9.1

So, the 3rd value is 4.5.

Answer:

d.which is number of candle's in a box

Answer:

number of candies in a box

Step-by-step explanation:

Answer:

The investment will be worth $8,674 after 7 years.

brainliest?

Answer:

I dont quite understand the inequalities, I think it might be the way is shows up, bit the first graph represents x equals all numbers less than 6. The second graph is all numbers greater than 6. Third graph is all numbers less than 7. forth graph is all numbers greater than 7.

Step-by-step explanation:

If you want to give me a better representation of the inequalities, I would be more than happy to help you more!! :)

Hope this helps!!

Answer:

1)2/7

2) 500

3) 1,000

hope you like this answer

stay at home stay safe

keep rocking

Answer:

$3.50

Step-by-step explanation:

23.6÷4=5.90   5.90-2.40=3.50

Answer:

$3.50

Step-by-step explanation:

cost of beads - $2.40

cost of pendant - x

2.40(4) + 4x = $23.60

9.60 + 4x = $23.60

4x = $14

x = $3.50

Each pendant costs $3.50.

Hope this helps.

Answer:

1. Consider the x-axis to represent months to pay off the loan, and the y-axis to represent $ owed.

2. the ordered pair (8,0) would show that at 8 months there is no more money owed.

Step-by-step explanation: