Simplify the radical 245c3.
O 56/490
O 76/50
O 49c2/5c?
5c²/TC

Simplify The Radical 245c3.O 56/490O 76/50O 49c2/5c?5c/TC

Answers

Answer 1

Answer:

Simplest form of radical √245c³ = 7c√5c

Step-by-step explanation:

Given radical value:

√245c³

Find:

Simplest form of radical √245c³

Computation:

Given value

√245c³

Step 1 :

Prime factorisation of given radical value

Simplest form of radical √245c³ = √5 × 7 × 7 × c × c × c

By taking 7 and c from out of root

Simplest form of radical √245c³ = 7 × c √ 5 × c

Simplest form of radical √245c³ = 7c√5c


Related Questions

A scale drawing of a school playground in the shape of a rectangle is shown. What is the area in square meters of the playground

Answers

Answer:

b

Step-by-step explanation:

8×19= 152  

1 : 4.5  

152×4.5=684  


Sunaina had three pizzas. She shared the pizzas with her friends. Each of them ate
many friends ate 3/7 of a pizza. How many friends ate the pizza

Answers

Answer:

6 friends

Step-by-step explanation:

Take 1/7 multiply by 5/6

9514 1404 393

Answer:

  7 friends

Step-by-step explanation:

3 pizzas will give 3/7 of a pizza to each of ...

  3/(3/7) = 3 · 7/3 = 7 . . . friends

7 friends ate the pizza.

_____

We assume that Sunaina and her 6 friends constitute 7 friends.

Can someone please help with this ? Thanks

Answers

I think the answer is “16”

Sufure area of cylinder

Answers

Answer:

1733.28 Square inches

Step-by-step explanation:

2(3.14)(6^2)+2(3.14)(6)(40)= 1733.28

r = radius (which is 6 in. Because radius is half of circumference and the circumference is 12 in.)

h = height of cylinder (which is 40 in. Shown in the diagram)

Answer:

1733.28 square inches

Step-by-step explanation:

Hi there!

What we know:

The diameter of the base (12 in.)The height of the cylinder (40 in.)The formula for the surface area of a cylinder: [tex]SA=2\pi r^2+2\pi rh[/tex]

1) Determine the radius of the base (r)

The radius is equal to half the diameter. Given the diameter 12 in., we know that the radius would be 6 in.

Radius = 6

2) Plug all values into the SA equation and solve

[tex]SA=2\pi r^2+2\pi rh\\SA=2\pi (6)^2+2\pi (6)(40)\\SA=2\pi (36)+2\pi (240)\\SA=72\pi+480\pi\\SA=552\pi\\SA=552(3.14)\\SA=552(3.14)\\SA=1733.28[/tex]

Therefore, the surface area of the cylinder is 1733.28 square inches.

I hope this helps!

[tex]\lim_{h \to \116} x-16/\sqrt{x} -4[/tex]
What is the limit?

Answers

Answer:

[tex] \displaystyle 8[/tex]

Step-by-step explanation:

we would like to compute the following limit

[tex] \displaystyle \lim_{x \to 16} \left( \frac{x - 16}{ \sqrt{x} - 4} \right) [/tex]

if we substitute 16 directly we'd end up

[tex] \displaystyle = \frac{16 - 16}{ \sqrt{16} - 4} [/tex]

[tex] \displaystyle = \frac{0}{ 0} [/tex]

which isn't a good answer now notice that we have a square root on the denominator so we can rationalise the denominator to do so multiply the expression by √x+4/√x+4 which yields:

[tex] \displaystyle \lim_{x \to 16} \left( \frac{x - 16}{ \sqrt{x} - 4} \times \frac{ \sqrt{x} + 4 }{ \sqrt{x} + 4 } \right) [/tex]

simplify which yields:

[tex] \displaystyle \lim_{x \to 16} \left( \frac{(x - 16)( \sqrt{x} + 4)}{ x - 16} \right) [/tex]

we can reduce fraction so that yields:

[tex] \displaystyle \lim_{x \to 16} \left( \frac{ \cancel{(x - 16)}( \sqrt{x} + 4)}{ \cancel{x - 16} } \right) [/tex]

[tex] \displaystyle \lim _{x \to 16} \left( \sqrt{x } + 4\right) [/tex]

now it's safe enough to substitute 16 thus

substitute:

[tex] \displaystyle = \sqrt{16} + 4[/tex]

simplify square root:

[tex] \displaystyle = 4 + 4[/tex]

simplify addition:

[tex] \displaystyle = 8[/tex]

hence,

[tex] \displaystyle \lim_{x \to 16} \left( \frac{x - 16}{ \sqrt{x} - 4} \right) = 8[/tex]

PLEASE HELP! Pam bought 6.5 pounds of apples for $16.19. If the equation 6.5x=16.19 models the situation, what does the variable stand for?

A. The weight of one apple

B. The cost of 1 pound of apples

C. The number of pounds of apples

D. The total cost of the apples

Answers

Answer is B the cost of 1 pound of apples

I need help with this problem pls help!

Answers

Answer : y = x/7 - 2

Help ASAP. I will give branliest.

Answers

Answer:

( 1, 3)

Step-by-step explanation:

4x+y=7 * 2 = 8x + 2y = 14

 8x + 2y = 14

- 3x + 2y = 9

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

 5x = 5

   x = 1

Now substitute x into the equation for 1

8*(1) + 2y = 14

8 + 2y = 14

2y = 6

y = 3

Our school is selling t-shirts and sweatshirts as a fundraiser . One student buys 2 t-shirts and 2 sweatshirts for $26 . Another student buys 1 t-shirt and 3 sweatshirts for $33 . This situation can be modeled by the system of equations below .

Answers

Answer:

The value of each T-shirt is $ 3 and the value of each sweatshirt is $ 10.

Step-by-step explanation:

Given that our school is selling T-shirts and sweatshirts as a fundraiser, and one student buys 2 Tt-shirts and 2 sweatshirts for $ 26, while another student buys 1 T-shirt and 3 sweatshirts for $ 33, to determine the value of the T-shirts and sweatshirts the following calculation must be made:

2X + 2Y = 26

X + 3Y = 33

Y - X = 7

2 x 3 + 2 x 10 = X

6 + 20 = X

26 = X

Therefore, the value of each T-shirt is $ 3 and the value of each sweatshirt is $ 10.

How much total money will Kiara have to pay back at the end of the 9 years?

Answers

Answer:

a= $29,505. it. is useful answer

Find the area of the rhombus.

48 cm2
14 cm2
96 cm2
24 cm2

Answers

Answer:

96 cm^2

Step-by-step explanation:

the diagonal bisect in the point of intersection, so their length is 12 cm and 16 cm

Area = (12 * 16)/2 = 96 cm^2

Answer:

24 cm^2

Step-by-step explanation:

rhombus -.-

helppppppppppppppppppppppp

Answers

Answer:

gotta be  answer A

Step-by-step explanation:

you can search up f(x) = square root of x

How many fl oz are in 4 table spoons

Answers

Answer:

2 fl oz

Step-by-step explanation:

2 tbsp = 1 fl oz. Simply double.

What is m ZPHJ?
L
0 100°
140°
0 120°
M
200
K
H
O 140°
0 160°
Р

Answers

Answer:

o 140. age

125 M so that you answer

please help me and thank you.

Answers

Answer:

[tex]482.5\:\mathrm{in^2}[/tex]

Step-by-step explanation:

The area of the figure consists of a rectangle with a triangle removed from the corner of it. Therefore, the area of the composite of the figure can be found by subtracting the area of the triangle from the area of the rectangle.

Area of the rectangle: [tex]25\cdot 20=500\:\mathrm{in^2}[/tex]

Area of the triangle: [tex]\frac{1}{2}\cdot 5\cdot 7=17.5\:\mathrm{in^2}[/tex]

Thus, the area of the figure is [tex]500-17.5=\boxed{482.5\:\mathrm{in^2}}[/tex]

It’s the last one 482.5

gabby volunteers at an animal shelter. Last month she volunteered 1 3/4 hours on each of 3 Saturday. She also volunteered 3/4 hour on 4 Wednesday evenings. How many hours of volunteer work did Gabby put in last month.​

Answers

Answer:

8 1/4 hours

Step-by-step explanation:

Total hours:

3(1 3/4) + 4(3/4) = 3 + 3*3/4 + 3 = 6 + 9/4 = 6 + 2 1/4 = 8 1/4 hours

What are the zeros and x-intercepts of this quadratic function?
y
Select two answers: one for the zeros and one for the x-intercepts.
A. x-Intercepts: (-3,0) and (2.0)
B. X-Intercepts: (0, -3) and (0,2)
C. Zeros: -3 and 2

Answers

A and C

Zero and x-intercept are kind of the same thing

The answer is ⇒C. Zeros: -3 and 2

A. x-intercepts: (-3,0) and (2,0).

What are zeros & x-intercepts of quadratic function?

The zero of the function is where the y-value is zero.

The x-intercept is where the graph crosses the x-axis.

Here, in graph we have,

at (-3,0) and ( 2,0) the quadratic crosses the x-axis.

And, at -3 & 2  the value of y is zero.

Hence, the answer is ⇒C. Zeros: -3 and 2

A. x-intercepts: (-3,0) and (2,0).

To learn more on zeros & x-intercepts of quadratic function click:

https://brainly.com/question/28822774

#SPJ2

80 POINTS HURRY ILL GIVE BRANLIEIST!!!

A landscape architect built a square playground. The outside edges of the playground measure 3x meters. The playground has an area of 8100 m^2. How much fencing is needed to fully enclose the playground?

Answers

Answer:

360 meters

Step-by-step explanation:

[tex]\sqrt{8100}[/tex] = 90

one edge = 90 meters

90 x 4 = 360

360 meters

What is the ratio of the people who prefer vanilla to the people who prefer strawberry?
-5/4
-4/5
-3/2
-2/3

Answers

Answer:

4/5

Step-by-step explanation:

From the above question, we are given the number of people who like a particular flavor.

The number of people who like:

Vanilla = 36

Strawberry = 45

Therefore, the ratio of the people who prefer vanilla to the people who prefer strawberry is written as

Vanilla : Strawberry

= 36:45

= 4:5

= 4/5

Therefore, option B = 4/5 is the correct option

Help plzzz..........

Answers

39

ndbdidbfkdusb sorry i just don’t have an explanation

Answer:

39

Step-by-step explanation:

What is the volume of this Sphere?

8 pi cm3
16 pi cm3
27 pi cm2
36 pi cm2

Answers

Answer:

V = 36 pi cm^3

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3 where 4 is the radius

V = 4/3 pi(3)^3

V = 36 pi cm^3

1) Find 5 points on the line y = 3/5 x - 4 by picking 5 x values, plugging in, and getting 5 y values. You must pick x
values that result in INTEGER values for y. Show every step of the process, working vertically.
2) Graph the line from problem 1. You must use a straightedge on axes and line. Each line on the graph paper is one
unit. Put arrowheads on the line. Do NOT put numbers or hash marks on your graph. Show your 5 points clearly
3) Using the formula and working vertically, firid the slope between the points (-2,5) and (6,-7).
4) Identify the slope and y-intercept of the line y = -4/3 x + 4
5) Graph the line from problem #4 by plotting the y-intercept, and then using the slope to get a second point. All rules
from problem 2 apply here as well.

Answers

It’s 5 for sure it is

pls help pls pls pls​

Answers

Answer:

12/4 i really hope this helps i took the test and got a 100

Step-by-step explanation:

Express the location of the point on the number line as both a fraction and a decimal. A number line that has moving left to right, a starting mark at 0, nine unlabeled tick marks, a tick mark labeled one-tenth, nine unlabeled tick marks, a tick mark labeled two-tenths, nine unlabeled tick marks, and an ending tick mark at three-tenths. There is a dot at the ninth tick mark to the right of one-tenth.

Answers

Answer:

9 / 100 ; 0.09

Step-by-step explanation:

From the line plot given :

The number of unlabeled ticks marks between any two labeled tick marks can be obtained by :

(Difference between any two successive labeled tick marks / number of tick marks)

Picking the labeled tick marks, 0 and 1/10

(1/10 - 0) / 10

1 / 10 ÷ 10

1/ 10 * 1 / 10 = 1 / 100

To find the marked point : (this is tick mark 9 from 0) ;

Number of ticks * distance between ticks

Location of marked tick = 1 / 100 * 9 = 9 / 100

Decimal equivalent = 9/100 = 0.09

can someone please help me with question 1? I will give brainliest to first answer! Thank you so much! I really appreciate anyone who helps

Answers

Answer:

49 in the first box and 7 in the second one

25 in the 3rd box and 5 in the 4th

Evaluate expressions- if r=45 and t=9 what is the value of the following expression?

A.36

B.75

C.80

D.66

Answers

the answer is D: 66
By using PEDMAS

Answer:

[tex]d. \: \: 66[/tex]

Step-by-step explanation:

[tex]r + 63 \div t \times 3[/tex]

[tex]45+63÷9 \times 3[/tex]

[tex]45+7 \times 3[/tex]

[tex]45 + 21[/tex]

[tex]66[/tex]

Hope it is helpful...

if f(x)=3x+10, find f(4)?

a. f(4)=17
b. f(4)=22
c. 22
d. f(4)=12

Answers

Answer:

f(4) =22

Step-by-step explanation:

f(x)=3x+10

Let x=4

f(4)=3*4+10

    Multiply

f(4) =12+10

Add

f(4) =22

Answer:

[tex]f(4 )= 22[/tex]

Step-by-step explanation:

[tex]f(x) = 3x + 10[/tex]

[tex]f(4) = 3(4) + 10[/tex]

[tex]f(4) = 3 \times 4 + 10[/tex]

[tex]f(4) = 12 + 10[/tex]

[tex]f(4 )= 22[/tex]

Hope it is helpful...

which graph is a function of x?

Answers

Answer:the one to the left

Step-by-step explanation:

Stefan sells Jin a bicycle for $149 and a helmet for ​$19. The total cost for Jin is 140% of what Stefan spent originally to buy the bike and helmet. How much did Stefan spend​ originally? How much money did he make by selling the bicycle and helmet to​ Jin?

Answers

Answer:

$120

$48

Step-by-step explanation:

total amount Jin spent = cost of bicycle + cost of helmet

$149 + $19 = $168

This equation can be derived from the question :

1.4 x t = 168

where t = total cost Stephan spent on the helmet and bicycle

t = 168/1.4 = $120

Profit = selling price - cost price

$168 - $120 = $48

if GJ = 11a and IJ = a + 10, find the value of a that makes quadrilateral FGHI a parallelogram​

Answers

Note: Consider J is the intersection point of diagonals of quadrilateral FGHI.

Given:

[tex]GJ=11a[/tex]

[tex]IJ=a+10[/tex]

To find:

The value of a that makes quadrilateral FGHI a parallelogram​.

Solution:

We know that the diagonals of a parallelogram bisect each other.

If FGHI is a parallelogram​ and J is the intersection point of diagonals, then

[tex]GJ=IJ[/tex]

[tex]11a=a+10[/tex]

[tex]11a-a=10[/tex]

[tex]10a=10[/tex]

Divide both sides by 10.

[tex]a=\dfrac{10}{10}[/tex]

[tex]a=1[/tex]

Therefore, the required value of a is 1 units.

Other Questions
What is the value of k? What is the true solution to In 20+ In 5= 2 In x?x=5. AX= 10 bX=50 cX= 100 d Which Latin American independence leader lived and worked with poor MexicanJos de San MartnO Simn BolvarO Francisco de MirandaO Father Hidalgo A school conference room can seat a maximum of 103 people. The principal and two counselors need to meet with the school's student athletes to discuss eligibility requirements. If each student must bring a parent with them, what is the maximum number of students that can attend each meeting? Please answer the question,if you only know the answer. Please don't do any kind of spam,I'm in need of this answer. NO SPAM Which of the following has kinetic energy? 2%, percent of the students at Hamilton Middle School have red hair. There are 700 students at Hamilton Middle School. There are three light bulbs shown in the diagram. Howmany of each additional component are shown?O one battery, two switches, two resistorsO two batteries, three switches, two resistorsone battery, four switches, one resistorO two batteries, three switches, two resistors How did Avery and Garth most likely create theirdiagrams?O Avery used SmartArt and added a shape, whereasGarth used four shapes.O Avery used four shapes, whereas Garth usedSmartArt and added a shape.O Both Avery and Garth used SmartArt and added ashape.O Both Avery and Garth used four shapes. Help!!! Top Knot, Inc. is expected to pay a $2.50 per share dividend next year. The dividends are anticipated to maintain a 5% growth rate forever. If the stock currently sells for $48 per share, what is the cost of equity please help I do not understand*question is in the photo, dropboxes are numbered*1 a- that the land that the United States purchase was unfit for farming b- the US Constitution did not directly give the government the power to buy foreign territoriesc- it broke earlier green has the United States had made with American Indians 2a- free access to the Mississippi River b- lasting peace between the United States and Great Britain c- that American Indians stayed away from US settlements~{45 points}~ ABCD is a trapezium in which AB CD, AD DC, AB = 4 cm, BP = 7 cm and DC = 25 cm, then area of the trapezium is 45. explain how Christianity and Islam introduced and expanded in Ethiopia and the Horn. Solve 8x - 2y = 12 for y.O A. y = 4x - 12O B. y 1-8x+12O C. y = 8x+6D. y = 4x - 6 combine the radicals 9x -3x brainliest for correct answerIf you are printing a statement and want to remove extra spaces between the text and the variables, which symbol can you use to do this?*+~/ Someone help me please Sherri chose 1 marble at a time from a bag of 50 marbles, recorded its color, and returned it to the bag. She repeated this experiment 20 times.how many blue marbles are in the bag?Select one:6301520 4Which equation represents a linear function that has a slope of 5 and a y-intercept of -6?4.y=-6x++Oy-x-6O y=x+6O y=6x+PLEASE I NEED HELP Wallaby Kite Company, a small Melbourne firm that sells kites on the Web, wants a master budget for the three months beginning January 1, 2012. It desires an ending minimum cash balance of $20,000 each month. Sales are forecast at an average wholesale selling price of $8 per kite. Merchandise costs average $4 per kite. All sales are on credit, payable within 30 days, but experience has shown that 60 percent of current sales are collected in the current month, 30 percent in the next month, and 10 percent in the month thereafter. Bad debts are negligible. In January, Wallaby Kite is beginning just-in-time (JIT) deliveries from suppliers, which means that purchases will equal expected sales. On January 1, purchases will cease until inventory decreases to $24,000, after which time purchases will equal sales. Purchases during any given month are paid in full during the following month. Monthly operating expenses are as follows: Wages and salaries....$60,000 Insurance expired...........500 Depreciation.................1,000 Miscellaneous.............10,000 $1,000/month + 10% of quarterly sales overRent...........................$40,000Cash dividends of $6,000 are to be paid quarterly, beginning January 15, and are declared on the 15th of the previous month. All operating expenses are paid as incurred, except insurance, depreciation, and rent. Rent of $1,000 is paid at the beginning of each month, and the additional 10 percent of sales is paid quarterly on the 10th of the month following the end of the quarter. The next rent settlement date is January 10. The company plans to buy some new fixtures for $12,000 cash in March. Money can be borrowed and repaid in multiples of $2,000. Management wants to minimize borrowing and repay rapidly. Simple interest of 10 percent per annum is computed monthly but paid when the principal is repaid. Assume that borrowing occurs at the beginning, and repayments at the end, of the months in question. Compute interest to the nearest dollar.