simplify the following
[tex]\sqrt{98][/tex]
[tex]\sqrt{16 b^{5} }[/tex]
[tex]3\sqrt{5m} x 4\sqrt{\frac{1}{5} m3}[/tex]
[tex]\sqrt{26x2}[/tex]

Answers

Answer 1

Step-by-step explanation:

Simplify:

[tex]\sqrt{98} = \sqrt{49*2} = \sqrt{7^2*2} = 7\sqrt{2}[/tex][tex]\sqrt{16b^5} = \sqrt{4^2(b^2)^2b} = 4b^2\sqrt{b}[/tex][tex]3\sqrt{5mx^4} \sqrt{1/5m^3} = 3\sqrt{5*1/5*m^4x^4} = 3\sqrt{(m^2)^2(x^2)^2} = 3m^2x^2[/tex][tex]\sqrt{26x^2} = x\sqrt{26}[/tex]

Answer 2

Answer:

[tex]→ \sqrt{98} = \sqrt{7 \times 7 \times2} = 7 \sqrt{2}✓ [/tex]

[tex]→ \sqrt{ 16{b}^{5} }= \sqrt{4 \times 4 \times {b}^{5} } = 4 {b}^{ \frac{5}{2} } ✓[/tex]

[tex]→3 \sqrt{5 mx^{4} } \sqrt{ \frac{1}{5} {m}^{3}} = 3 \sqrt{5 \times \frac{1}{5} {m}^{4} {x}^{4} } = 3 {m}^{2} {x}^{2} ✓[/tex]

[tex] →\sqrt{26 {x}^{2} } = \sqrt{26} x✓[/tex]


Related Questions

what expression is equivalent to −24x+72?

Answers

Answer:

answer:70+2=72 lixtoo

what is the solution of the system of equations below?

Answers

Answer:

the answer is B  (2,1)

Step-by-step explanation:

Given the simultaneous equation

[tex]2x+3y=7 .....1\\x+y=3 ..........2\\[/tex]

Using substitution method

from equation 2 :

[tex]x=3-y ....3[/tex]

Substitute equation 3 into 1:

[tex]2(3-y)+3y=7[/tex]

Open the bracket

[tex]2(3)-2y+3y=7\\6-2y+3y=7\\6+y=7\\y=7-6\\y=1[/tex]

Substitute y=1 into x=3-y

[tex]x=3-1\\x=2[/tex]

Hence the solution to the equation is (2,1)

PLEASE MARK ME AS BRAINLIEST

The distance of the moon to the Earth is 384,400 km.
The speed of light is 2.998 x 108 m/s.
Work out how long it will take light to travel from the moon to the Earth.
Include suitable units.

Answers

Answer: 1.3 seconds

Step-by-step explanation:

Given: Distance of the moon to the Earth = 384,400 km = 384400 x 1000 meters = 384400000 meters.  [1 km = 1000 m]

Speed of light =[tex]2.998 \times 10^8[/tex]  m/s = 299800000 m/s

Formula: [tex]\text{Time}=\dfrac{\text{Distance}}{\text{Speed}}[/tex]

Let t be the time taken by the light to travel from the moon to the Earth.

[tex]t=\dfrac{384400000}{299800000}\approx1.3\text{ seconds}[/tex]

Hence, it will take approximately 1.3 seconds for the light to travel from the moon to the Earth.

Mark borrowed $125 from his dad to pay some bills. If he has already paid back $30, how much does he still owe?
*inequalities*

Answers

Answer:

Mark borrowed> (Subtracting) 125 dollars, so he will have negative 125 because he took it away. He gives back> (Addition) 30 dollars.

-125+30= -95. So, he owes 95 dollars.

(Easy way)

125-30= 95 dollars.

I hope this helped :))

Can you guys graph y= 2/3x -4 ?

Answers

Hope this graph helps!          

Which of these situations is represented by 24 divided by 6

Answers

Answer:

B. got the perfect situation

Step-by-step explanation:

here

24flowers are distributed in 6 vase equally

that mean

[tex] \frac{24}{6} [/tex]

this may help you (:

help me please and thank you ​

Answers

Answer:

the answer is 7

Step-by-step explanation:

Ricky has sat his summer exams.
His scores are below.
Change his scores into percentages.
Give each answer to 1 decimal place.
Maths: 17 out of 22
English: 19 out of 30
Science: 51 out of 60
French: 11 out of 12
German: 10 out of 14
Music: 19 out of 42
Geography: 19 out of 28
History: 30 out of 38
Welsh: 65 out of 70
List Ricky's top 3 subjects

Answers

Answer:

cuz i am batman hahahhaahhahah

Step-by-step explanation:

jknkkbjnnjnnbjnbknn

Broccoli cost $3.14 a pound at the market.
If Mary bought 2.5 pounds, what was the cost?
A
$1.26
B
$5.64
$7.90
$7.85

Answers

7.85

explanation

you multiply the two numbers together

Answer:

$7.85

Step-by-step explanation:

To solve this problem, we can use the cancelling of units.

cost = $3.14/1 lb * 2.5 lb

The pounds cancel out leaving dollars so you get cost = $3.14 * 2.5

so cost = $7.85.

2f - 4e + 4e = 2f true or false

Answers

Answer:

True.

Step-by-step explanation:

Since 4e cancels out itself, the answer remains 2f.

*Note: I am not entirely sure this is correct, sorry if it isn't *

i think it’s true i may be wrong but im pretty sure that it’s true

An economy package of cups has 460 green cups. If the green cups are 20% of the total package, how many cups are in the package?​

Answers

2300 cups because if 460 is 20%, multiply the 460 x 5 to get 100%


Please help me I’m going to get beat with a broom please I’m begging

Answers

Answer:

A. 3 dimes and 1 Penny

Beat your parents with a broom instead!

-3.75q -5q = 26.25 please give me a correct answer!

Answers

Answer:

q= -3

Step-by-step explanation:

9. Angeline bought s yards of satin fabric priced at $8.09 per yard
and c yards of cotton fabric priced at $3.79 per yard.
a) What expression could you use to determine the total cost of
the fabric?

Answers

Answer:

The expression Y = 8.09s + 3.79c  can be used to determine the total cost of the fabric.

Step-by-step explanation:

Given that:

Price per yard of satin fabric = $8.09

Yards of satin fabric bought = s

Price per yard of cotton fabric = $3.79

Yards of cotton fabric bought = c

Let,

Y be the total cost.

Y = 8.09s + 3.79c

Hence,

The expression Y = 8.09s + 3.79c  can be used to determine the total cost of the fabric.

What does C equal? C/11 = 30/120

Answers

Answer:

C=2.75

Step-by-step explanation:

C/11=30/120

30/120=.25

120*.25=30

11*.25=2.75

C would be 2.75

Reason

Math

To solve 8,502 ÷ 7, in what place value should you start dividing?

Answers

i think thousands place
You should start in the thousandths place then work your way down to the hundredths then the tens, and lastly the ones place.

Help me pleasee. Solve the system by substitution

Answers

Answer:

(3, - 2 )

Step-by-step explanation:

Given the 2 equations

4x - 2y = 16 → (1)

y = - 5x + 13 → (2)

Substitute y = - 5x + 13 into (1)

4x - 2(- 5x + 13) = 16 ← distribute and simplify left side

4x + 10x - 26 = 16

14x - 26 = 16 ( add 26 to both sides )

14x = 42 ( divide both sides by 14 )

x = 3

Substitute x = 3 into (2) for corresponding value of y

y = - 5(3) + 13 = - 15 + 13 = - 2

solution is (3, - 2 )

For each hour he babysits, Anderson earns $1 more than half of Carey's hourly rate. Anderson earns $6 per hour.
Which equation can be used to solve for Carey's hourly rate, c?
oc+ 1 = 6
o şc-1= 6
+63
oc-6 = 1
- 6 = 1

Answers

The answer is:  

2c+1=6

{(-1, 1), (1, 1), (-2, 4), (2, 4)}
Is the relation a function and why?

Answers

Step-by-step explanation:

what is the a ? a-(-14)= -18

Answers

Answer:

a=-32 if you think that was a good answer pls mark as brainliest

Step-by-step explanation:

a-(-14) is the same as a+14

a+14=-18

a=-32

Can someone please help me with this and make sure it’s correct

Answers

The answer is: B
Explanation: 8 is fixed, not related to the number of marbles.

anyone able to help out ?

Answers

Answer:

The value of x is 1

Step-by-step explanation:

Let us solve the question

Δ PQR ≈ Δ FGH

→ From similarity, then their corresponding sides have an equal ratio

∴ [tex]\frac{PQ}{FG}[/tex] = [tex]\frac{QR}{GH}[/tex] = [tex]\frac{PR}{FH}[/tex]

∵ PQ = 3, QR = x + 3, PR = 2

∵ FG = 6, GH = 6x + 2, FH = 4

→ Substitute them in the ratios above

∴ [tex]\frac{3}{6}[/tex] = [tex]\frac{x+3}{6x+2}[/tex] = [tex]\frac{2}{4}[/tex]

→ By using cross multiplication between the first two ratios

∵ 3 × (6x + 2) = 6 × (x + 3)

∴ 3(6x + 2) = 6(x + 3)

∴ 3(6x) + 3(2) = 6(x) + 6(3)

18x + 6 = 6x + 18

→ Subtract 6x from both sides

∵ 18x - 6x + 6 = 6x - 6x + 18

∴ 12x + 6 = 18

→ Subtract 6 from both sides

∵ 12x + 6 - 6 = 18 - 6

∴ 12x = 12

→ Divide both sides by 12

x = 1

what is 17 and a half as a whole number

Answers

Answer:

Brainiest

Step-by-step explanation:

17 1/2

The answer is 17 1/2

Help pls-
Bram invested $10,000 in an account that earns simple 5% interest annually.

Question 1: How much interest does the account earn in the first 10 years? (Round to the nearest dollar)

Question 2: How much more would the account earn in interest in the first 10 years if the interest compounded continuously? (Round to the nearest dollar)

Answers

Answer:

Answer 1: $6,289

Answer 2: $198

Step-by-step explanation:

1-

a(10)=10,000(1+.05)^10

=16,288.95  =16,288-10,000=$6,289

2-

A(t)=pe^rt=a(10)=10,000e^(.05)(10)=16,487-10,000=6487

6487-6289=$198

Nancy divided her marbles into 7 equal piles. What
fraction of the total marbles would 2 piles be?

Answers

2/7 or 28% is the fraction of two piles

the volume of a cylinder is 72 pi cm^3. if the radius is 3cm, what is it the height of the cylinder?

Answers

Answer:8 cmStep-by-step explanation:

The height of the cylinder is 8cm

The formula for calculating the volume of the cylinder is expressed as;

[tex]V = \pi r^2 h[/tex]

r is the radius

h is the height

Substitute the given parameters into the formula:

[tex]V = \pi r^2 h\\72 \pi = \pi \times 3^2h\\72 = 9h\\h=\frac{72}{9}\\h = 8cm[/tex]

Hence the height of the cylinder is 8cm

Learn more here volumes here: https://brainly.com/question/21067083

Which expression represents “7 more than x”?




7x


7 + x


x – 7


x ÷ 7

Answers

Answer:

7+x this is the answer ok

Quinn has solved 20 problems on the math quiz. If this is 80% of the problems on the quiz, how many more problems does he have left to solve

Answers

Answer:

5 problems

Step-by-step explanation:

20=%80

10=%40

5=%20

100-80=20

20+5=25

5 problems left

Please help me please please !

Answers

The answer is 360 because LxWxH

Write 7√5 using rational exponents.

Answers

Answer:

7*(5)^0,5

Step-by-step explanation:

The value of number 7√5 in form of rational exponents will be 1561/1000.

What is Rational number?

A number which can be written in the form of fraction p / q , where q is non zero, are called Rational numbers.

Given that;

The number is,

⇒ 7√5

Now,

Since, The number is,

⇒ 7√5

Solve as;

⇒ 7√5 = 7 × 2.23

           = 15.61

           = 1561/100

Thus, The value in rational exponents = 1561/1000

Learn more about the rational number visit:

https://brainly.com/question/12088221

#SPJ2

Other Questions
Kevin is working in the Tasks folder of his Outlook account. Part of his computer screen is shown below.Outlook tasks(I WILL PUT BRAINLIEST)How can Kevin view his appointments and calendar?by clicking on Tasks in the Navigation Paneby clicking on the To-Do Bar on the right of the screenby clicking on the View tab at the top of the screenby clicking on Manage Task in the Ribbon Find the volume of the rectangular prism.The volume of the rectangular prism ismeters cubed. fill in the blank Identify the device used to convert an information signal to a signal compatible with the medium over which it is being transmitted. Which has more kinetic energy, a basketball rolling at a walking pace or a baseball rolling at the pace of someone running? How could we find out ? ok so if someone just wants the points tell don't answer this question comment and ill post a mother random one for 50 points just don't waste the answers please I really need help ill give brainliest but comment if u just want the points don't submit an answer For a computer to deliver continuous media it must guarantee the specific rate and timing requirements, also known as _____________. Find the volume of a gas at 800.0 mm Hg and 40.0 C if its volume at 720.0 mm Hg and 15 C is 6.84 L. The State Department deals with A. Public relations B. Foreign relations C. Friendly relations D. Labor relations and fight against the wind; I contend against them combined, when, buried by the billows, I go to seek the earth; my native land is strange to me. If I grow motionless I am mighty in the conflict; if I succeed not in that they are stronger than I, and straightway with rending they put me to rout; they wish to carry off what I must keep safe. I foil them in that if my tail endures and if the stones are able to hold fast against me in my strength. Ask what is my name. The speaker in the riddle is a(n)_____. ship's hull anchor sail oar GIVE ME THE SAUCE CODE >:)))))))))))))))) Sentence A: No matter which study style works best foryou, the first step to academic success is designing anappropriate study space; the second step is, of course,studyingSentence B: You might do well with an organized deskspace, or you might prefer to study while lounging on thefloor.Sentence C: For example, maybe you study best in quietspaces, or maybe you need background noise to keepfocusedSentence D: All of this explains why the key to creatingyour perfect study space is knowing your own personalstudy styleWhich arrangement of these sentences would be best for a conclusionparagraph? A Bike shop charges by the hour to rent a bike. Related items are rented for flat fees. Write an expression that represents how much it will cost to rent a bike and helmet for H hours. How much will it cost to rent a bike and helmet for 3 hours a ______ is a single kind of matter that has a specific composition. when a car goes around a curve at a constant speed, in which direction is it acceleratingA. In the direction of the velocity B. In the opposite direction of the velocity C. Outside the curve D. Inside the curve Monetary policy influences the economy by adjusting the:A. Unemployment rate.B. Money supply.C. Budget deficit.D. Gross domestic product. a tree frog leaping upwards off the tree branch is pulled downward by gravity and lands on another branch instead of continuing on in a straight line this in example of which law of Newton's can you make energy with ionized particles? yes or no and how Melissa baked 84 cookies. After giving some cookies to Mollyand Jean, she had 1/3 of her cookies left. On average, howmany cookies did Molly and Jean each receive?cookies When applying for a mortgage to buy a home, the larger the down payment on that home theO lower the monthly payments on the mortgage.higher the monthly payments on the mortgage.lower the homeowner's insurance premium.O higher the homeowner's insurance premium.Bc Mi hermana y yo _____(asistir) a un colegio bilinge.1. asisto2. asistes3. asiste4. asistimos5. asists6. asistenPICK THE RIGHT ANSWER