write square root of 5 x square root 10 in the form of b square root of 2 where b is an integer
simplify fully square root of 27 x square root of 75

Write Square Root Of 5 X Square Root 10 In The Form Of B Square Root Of 2 Where B Is An Integersimplify

Answers

Answer 1

Answer:

a)b= 5

b)45

Step-by-step explanation:

a) 5 times ten is 50 . the two factors of 50 are 25 and 2. The square root of 25 is 5, so that's the answer.

b) 27 × 75 is 2025 and the base root is 45², then with the radical and exponent we reduce the index by 2 to get 45.

Answer 2

[tex]\textbf{a)}\\\\~~~\sqrt 5 \times \sqrt{10}\\\\=\sqrt{5} \times \sqrt{5 \times 2}\\\\=\sqrt{5} \times \sqrt 5 \times \sqrt 2\\\\=\left(\sqrt 5 \right)^2 \times \sqrt 2\\\\=5\sqrt 2\\\\\text{It is now in a form of} ~ b\sqrt2 ~ \text{where} ~b = 5.\\\\\\[/tex]

[tex]\textbf{b)}\\\\~~~\sqrt{27} \times \sqrt{75}\\\\=\sqrt{9 \times 3} \times \sqrt{25 \times 3}\\\\=\sqrt 9 \times \sqrt 3 \times \sqrt{25} \times \sqrt 3\\\\=3\times 5 \times \left(\sqrt 3 \right)^2\\\\=15 \times 3\\\\=45[/tex]


Related Questions

Find the mean, μ, for the binomial distribution with n = 48 and p = 3/5. Round your answer to the nearest hundredth. A) μ = 29.7 B) μ = 3.4 C) μ = 48.6 D) μ = 28.8Find the mean, μ, for the binomial distribution with n = 48 and p = 3/5. Round your answer to the nearest hundredth.
A) μ = 29.7 B) μ = 3.4
C) μ = 48.6 D) μ = 28.8

Answers

The mean of the binomial distribution is (d) μ = 28,8

How to determine the mean?

The given parameters of the binomial distribution are given as:

n = 48 and p = 3/5

The mean is then calculated using:

μ = np

This gives

μ = 48 * 3/5

Evaluate

μ = 28,8

Hence, the mean of the binomial distribution is (d) μ = 28,8

Read more about mean at:

https://brainly.com/question/15858152

#SPJ1

ORDER OF OPERATIONS.
Simplify each expression using the order of operations.

Answers

Answer:

PEMDAS.

1. PARENTHESIS

2. EXPONENTS

3. MULTIPICATION

4. DIVISION

5. ADDITION

6. SUBTRACTION

Follow the steps of BEDMAS:

B = Brackets

E = Exponents

D = Division

M = Multiplication

A = Addition

S = Subtraction

Let's try 1) with these steps.

5 - 6 + 2(3)

We can see there are brackets. When a number is placed near a bracket, it means we need to multiply.

2 x 3 = 6

Let's check our expression.

5 - 6 + 6

We can see that there is addition and subtraction. When we have addition and subtraction together we can solve left to right. The same applies to multiplication and division.

So let's solve the rest of it.

5 - 6 = -1

-1 + 6 = 5

5 is the answer to 1).

Now I hope you can solve the rest accordingly with my help. If you are in a time constraint or genuinely don't feel like doing math, understandable. In that case, simply use any online scientific calculator :)

Good Luck!!!

Big Brothers, Inc. borrows $267,999 from the bank at 18.16 percent per year, compounded annually, to purchase new machinery. This loan is to be repaid in equal annual installments at the end of each year over the next 10 years. How much will each annual payment be?

Round the answer to two decimal places.

Answers

Based on the amount borrowed and the interest per year, Big Brothers, Inc will pay an annual payment of $59,973.15.

How much will Big Brothers, Inc. pay annually?

This can be found by using the present value of an annuity formula because the annual payment will be constant and therefore like an annuity.

Formula is:

Present value of annuity = Annual payment x ( 1 - (1 + rate) ^ -number of periods) / rate

Solving gives:

267,999 = Amount x ( 1 - ( 1 + 18.16%)⁻¹⁰) / 18.16%

267,999 = Amount x 4.46865

Amount = 267,999 / 4.46865

= $59,973.15

Find out more on loan present value at https://brainly.com/question/15088278.

#SPJ1

A number is doubled, then decreased by $13.7$. The result is greater than $125.28$. What is the smallest integer that satisfies this condition?

Answers

let's say the number is "a", so

[tex]\stackrel{doubled}{2a}~~ \stackrel{decreased}{-} ~~\stackrel{by~this~much}{13.7} ~~ \stackrel{greater~than}{ > } ~~ 125.28 \\\\\\ 2a > 125.28-13.7\implies 2a > 111.58\implies a > \cfrac{111.58}{2}\implies a ~~ > ~~ 55.79[/tex]

Answer:

56

Step-by-step explanation:

3 quick questions 28 points

Answers

For the first image, I would recommend using Desmos; it is an online graphing calculator. You can find it on online and it is free; I use it all the time for my school work

I would input each function and sees which one matches the image on the test.

As for the second image, I believe the answer is C; x is greater than or equal to -1.

For the third and last image, I believe the answer is A; x is less than -1.

I hope this helps .

13 × (11 + 11) - (4 × 17) - 6 = X​

Answers

Answer: 212

Step-by-step explanation:

13 * 22 - 68 - 6 = X

286 - 68 - 6 = X

286 - 74 = X

X = 212

Which equation matches the graph of the greatest integer function given
below?

Answers

Answer:

B

Step-by-step explanation:

Hope this will help on the problem

WHAT IS THE RATIO OF CIRCLES TO SQUARES

Answers

Answer: 10x2π:36x2

Explanation: So the area of the circle is πr2=10x2π. So the ratio of the area of the circle to the area of the square is 10x2π:36x2, which is equivalent to 5π:18, as required.

Determine whether the two lines are parallel, perpendicular, or neither.
4x + 5y = 2
4x + 5y = 4

Answers

Answer:

Step-by-step explanation:

slope is same so they are parallel.

help me to solve maths​

Answers

Answer:

9. 105/-21 = -5

10. -5 + 11 = 6

11. 368 x -16 = -5888

12. To prove this you don't need the integers provided, you can just expand out the first one. a x (b + c) = (a x b) + (a x c)

please please help! i need to submit in 15 minutes!!!

Answers

Answer:

Step-by-step explanation:

I need the question to answer please :)

What is the mass of 35 moles of CO₂?

Answers

Carbon is 12 m/g
Oxygen is 16 m/g
1 mole CO2 = 12+32=44
44.35=1540

Can someone help with this? I don't understand how to find the answer

Answers

Center (1,4)
Hope this helps!

Need help with this question p

Answers

Answer:

4x² + 12x + 9

Step-by-step explanation:

Using identity:

(a +b)² = a² + 2ab + b²

Here, a = 2x  & b = 3

(2x +3 )² = (2x)² +  2*2x*3 + 3²

              = (2x*2x)  + 12x + 3*3

             = 4x² + 12x + 9

Among black respondents to the 2008 GSS, 167 had no small children at home, and 44 did have small children at home. Among those black respondents who had no small children at home, 62 of them had been to a zoo in the past year. Among those black respondents who did have small children at home, 23 of them had been to a zoo in the past year. Build a crosstab with these results, percentage it, run a chi-square test, and explain your results.

Answers

Answer:

Step-by-step explanation:

7) $72.45 -28.98 Rounded estimate​

Answers

Answer:

$43

Step-by-step explanation:

$72.45 can be rounded down to $72.00

$28.98 can be rounded up to $29.00

$72-$29= $43

What is the y-coordinate of the point that divides the directed line segment from J to K into a ratio of 5:1? m Y 1 77](V₂ − V₁] + V₁ m+n -8 -5 0 6​

Answers

The y-coordinate of the point that divides the directed line segment from J to K into a ratio of 5:1 is 0.

How to carry out division of line segments?

From the attached line segment graph, we see the coordinates as;

J (1, -10) and K (7, 2)

Let us assume that, point L divides the directed line segment from J to K into a ratio of 5:1.

From the properties of coordinate geometry we know that, the coordinates of point that divides the line joining (x₁, y₁), (x₂, y₂) in m:n, are;

[(mx₂ + nx₁)/(m + n)], [(my₂ + ny₁)/(m + n)]

Plugging in the relevant values gives;

[(5 * 7 + 1 * 1)/(5 + 1)], [(5 * 2 + 1 * -10)/(5 + 1)]

⇒ (6, 0)

Therefore, the y-coordinate of the point that divides the directed line segment from J to K into a ratio of 5:1 is 0.

Read more about division of line segments at; https://brainly.com/question/17374569

#SPJ1

Answer:

c. 0

Step-by-step explanation:

What are m∠1 and m∠2?

Answers

Answer:

B. <1 = 35, m<2 = 30

Step-by-step explanation:

To figure out m<1 I first need to figure out the other missing angle. A straight line is a 180 degree angle. Taking that information you can do 180 - 115. This means that the missing angle is 65 degrees. The interior angles of triangles always add up to 180.

80 + 65 = 145

180 - 145 = 35

<1 = 35

Repeat with the other side.

85 + 65 = 150

180 - 150 = 30

<2 = 30

Hope this helps!

A patient has been prescribed 1 gram (g) of Drug A. The stock dose is available in 250 milligram (mg) tablets. How many tablets would you administer per dose?

Answers

The number tablets per dose of drug A to be administered on the patient is 4 tablets

Quantity conversion

1 gram = 1000 milligram

Drug A provided = 1 gramDose = 250 milligram

Number of tablets to administer = Drug A provided / Dose

= 1 gram / 250 milligram

= 1000 milligram / 250 milligram

Number of tablets to administer = 4 tablets

Therefore, the number tablets per dose of drug A to be administered on the patient is 4 tablets

Learn more about gram to milligram:

https://brainly.com/question/23654284

#SPJ1

Use long division method to solve & following.
5 on 8

Answers

Answer:

0.625

Step-by-step explanation:

An internet cafe charges $3.75 to use a computer and $.45 per minute while accesing the internet. What function rule describes this situation?

Answers

Answer:

y = $3.75(x)  + .45$

Step-by-step explanation:

Take the input and subsitute

a teacher gets a bag of lollipops for her class. She buys a large bag of 84 lollipop. If she wants each child to have 3 lollipops how many students must be in her class?

Answers

If she buys 84 lollipops and each student wants three the she has 28 students.
84 ➗ 3 = 28
28 x 3 = 60 + 24 = 84

pls help
tomorrow exam that's why

Answers

Answer:

Step-by-step explanation:

a) Four points

        A, T , B , U

b) A ray has a fixed starting point but no end point. It extends infinitely in one direction

      PA  ;  PB  ; QT ; QU

c) A line segment  is a part of a line that is bounded by two distinct end points.

  PQ , PR

d) Parallel lines are two lines in the same plane that are at equal distance from each other and they never intersect.

AP // TQ  and PB // QU

e) Two or more lines which share exactly one common point are called intersecting lines.

AB &  PQ

f) ∠QPB  and ∠BPR

your grade.
Find y. Give your answer in
the simplest form.
X
60°
y = [?]
2√3
Enter the number that belongs in
the green box.

Answers

Answer:

y=3

Step-by-step explanation:

trust me bro

four points are always coplanar if they: check all that apply.
A. lie in the same plane
B. lie on different lines
C. lie on different planes
D. lie on the same line

Answers

Answer:

B. lie on different lines

Step-by-step explanation:

The perimeter of a rectangle with length l and width w is 44 inches. The area of the rectangle is at most 120.
Which of the following statements is true?
A. If w 12 inches, then l 10 inches
B. If w 12 inches, then l 10 inches
C. If w 12 inches, then l 10 inches
D. If w 12 inches, then l 10 inches

Answers

The true statement about the rectangle  is A. If w is 12 inches, then l is 10 inches

How to determine the true statement?

The given parameters are:

Perimeter, P = 44Area = 120 (at most)

The perimeter of a rectangle is:

P = 2(L + W)

So, we have:

2(L + W) = 44

Divide by 2

L + W = 22

The area is calculated as:

A = LW

This gives

LW = 120

Express 120 as 12 * 10 and 10 * 12

LW =12 * 10 or LW = 10 * 12

By comparison, we have:

L = 12 and W = 10 or L = 10 and W = 12

When these values are substituted in L + W = 22, we have:

10 + 12 = 22 and 12 + 10 =22

This means that the dimensions of the rectangle are 10 by 12 inches or 12 by 10 inches

Hence, the true statement is A. If w is 12 inches, then l is 10 inches

Read more about rectangles at:

https://brainly.com/question/24571594

#SPJ1

Answer: for short its a

Step-by-step explanation:

Write the expression in standard form. (2 points) seven divided by quantity three minus fifteen i.

Answers

Answer:

[tex]\displaystyle \frac{7}{3-15i}=\frac{7}{78}+\frac{35}{78}i[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{7}{3-15i}\\\\\frac{7}{3-15i}*\frac{3+15i}{3+15i}\\\\\frac{21+105i}{9-225i^2}\\\\\frac{21+105i}{9+225}\\\\\frac{21+105i}{234}\\\\\frac{21}{234}+\frac{105}{234}i\\ \\\frac{7}{78}+\frac{35}{78}i[/tex]

describe in detail how you would create a number line with the following points:3, 2.25, the oppisite of 4 and- (-1 1/2). please be sure to describe on which tick marks each point is plotted and how many tick marks are between each iteger. it may help for you to draw this number line by hand on a sheet of paper pls answer NO WRONG ANSWERES

Answers

Answer:

here man that's the answer

12(5-5)+3x5 evaluate the expression

Answers

Answer:

Using PEMDAS we can see that P or parenthesis is first so we would subtract 5 from 5 in the beginning.  That would result in a 0 which would then get multiplied with 12 to still have 0.

[tex]12(5-5) + 3 * 5[/tex]

[tex]12(0) + 3 * 5[/tex]

[tex]0 + 3 *5[/tex]

Now that we completed that part, the only thing that we have left to do is to multiply the last two numbers, 3 and 5.

[tex]3*5[/tex]

[tex]15[/tex]

Therefore, our final solution is 15.

Hope this helps!

What is the solution for x in the equation?

-2x + 14 + 10x = 34

A.

B.

C.

D.

Answers

Answer: 2.5

Step-by-step explanation:

-2x + 14 + 10x = 34

8x + 14 = 34

8x = 34 - 14

8x = 20

x = 20/8

x = 5/2

x = 2.5

Combine the like terms first
14 +8x =34
Subtract 14 both sides
8x = 20
Divide both sides by 8
x = 20/8
Reduce
x= 5/2
x = 2 1/2 or 2.5
Other Questions
Californians who want to go to school beyond high school may choose to pursue their [_____________________] at one of the states many colleges or [_____________________________]. Other students may instead decide to attend a [_________________________], which teaches technical skills required for a specific type of job, such as auto repair or video game design. What are two obstacles to progress in developing nations. In circle P, diameter QS measures 20 centimeters.Circle P is shown. Line segment Q S is a diameter. Line segment R P is a radius. Angle R P S is 123 degrees.What is the approximate length of arc QR? Round to the nearest tenth of a centimeter.9.9 centimeters19.9 centimeters21.5 centimeters43.0 centimeter En el tiempo de los apostoles todos eran muy barbaros. Express your answer in simplest a+ bi form. (8+5i)(3+2i)-(4+i)(4-i) how many solutions does 10x - 10= -10x + 10 What was the first state to officially recognize memorial day?. Which of the following terms might be used by a company for product differentiation?new and improved50% more than the leading competitorthe lowest priceAll of the choices are correct.Lmk! After the stranger leaves, what does Elisa do?A. Cries and refuses to go into town with HenryB. Chases after the stranger and begs him to take her to San DiegoC. Makes plans to open her own flower business ( 12y + 2x) + 4y simplify the expression Land AreaCityChicago(in square miles)227.635468.670Population(in 2011)2,707,120Los Angeles3,819,702To the nearest tenth, by how many people per square mile is the population density of Chicago greater than the population density ofLos Angeles? In order to go on the field trip, you must accrue 75 positive behavior points. you found out that you have 45% of the points necessary to go. how many points do you have? use the variable, p, for your equation. what is the equation? In British Pharmacopoeia (BP) assay for content of active ingredient, 20 tablets(each stated to contain 50 mg of active ingredient) of total weight 6.5142g werepowdered. A sample of the powdered tablets of weight 0.3460g was extractedwith 0.1M NaOH, the extract filtered, and the filtrate made up to 100 cm3 with0.1 M NaOH. A dilution ( 1 in 100 ) with 0.1M NaOH gave an absorbency valueof 0.345 at 256 nm using 1 cm cells. Given that the A (1%, 1cm) is 658 at 257 nmin 0.1M NaOH. Calculate the percentage of the stated amount of activeingredient per tablet A study was conducted about the number of miles that a sample of automobiles in New York City drive within a year. The sample was taken in front of an apartment complex and included 20 taxicab drivers and 40 of the buildings residents. Which is a reasonable explanation for the large gap in the histogram? What is the heat abosorbed by 47.5g of silver (Ag) when the temperature rises by 10.0C? How many children are working around the world today, according to the ilo? a. 215,000 b. 2.15 million c. 21.5 million d. 215 million Which best describes a mixture?It has a single composition, and it has a set of characteristics that does not change.It can have different compositions, but it has a set of characteristics that does not change.OIt has a single composition, but it has a set of characteristics that does change.It can have different compositions, and it has a set of characteristics that does change. Which system gives the government control of factories and businesses, as well as wages?O federalismcapitalismO feudalismO socialism Fill in the blank with the correct subjunctive form of the verb in parentheses. nosotros ____ (vivir) normal mitosis results in the formation of two nuclide that are genetically