Hello people ~
what's the product of the square root of 3 and the square root of 12​

Answers

Answer 1

Answer:

6

Step-by-step explanation:

sqrt(3) x sqrt(12) = sqrt(3) x sqrt(4x3) = sqrt(3) x 2sqrt(3)

= 2 ( sqrt(3)² ) = 2 x 3 = 6

Answer 2

Let's see

[tex]\\ \rm\rightarrowtail \sqrt{3}\times \sqrt{12}[/tex]

[tex]\\ \rm\rightarrowtail \sqrt{3}\times \sqrt{2(2)(3)}[/tex]

[tex]\\ \rm\rightarrowtail \sqrt{3}\times 2\sqrt{3}[/tex]

[tex]\\ \rm\rightarrowtail 2(3)[/tex]

[tex]\\ \rm\rightarrowtail 6[/tex]


Related Questions

Find the distance between points A and B if A is point(-2, 12) and B is point (3, 0)
options:

11 units


18 units


15 units


13 units

Answers

Answer:

13 units is the answer to the question

What is the speed of the car that travels 2955 km in 13 hours?

ROUND TO THE NEAREST WHOLE NUMBER

Answers

Hello There!!

Given,

Distance (d)= 2955 km

Time (t)= 13 hr

To Find,

Speed (s)=?

Solution

[tex]s = \frac{d}{t} \\ \\ s = \frac{2995}{13} \\ \\ s = 227.308 \: \: \text{km/hr}[/tex]

Rounding To Nearest Whole Number= 227 Km/hr

[tex] \therefore \text{speed} = 227 \text{km/hr}[/tex]

Hope This Helps

Answer:

As Per Provided Information

Distance travelled by the car is 2955 Km

and it takes 13 hours to cover that distance .

We have been asked to determine the speed of the car .

[tex] \boxed{\bf \: speed \: = \dfrac{Distance Travelled by Car}{Total Time Taken }}[/tex]

substituting the value we get

[tex] \longrightarrow\sf \: Speed = \dfrac{2955}{13} \\ \\ \\ \longrightarrow\sf \: Speed = \cancel\dfrac{2955}{13} \\ \\ \\ \longrightarrow\sf \: Speed =227.30 \\ \\ \\ \longrightarrow\sf \: Speed \approx227 \: km {hr}^{ - 1} [/tex]

Therefore,

Speed of the car is 227 Km/hr.

What is a closed line of credit? a. a line of credit with a set maximum credit limit. b. a line of credit with no interest rate. c. a line of credit with a fixed total amount. d. a line of credit with a legally mandated repayment schedule. please select the best answer from the choices provided a b c d

Answers

Answer:

c

Step-by-step explanation:

a line of credit with a fixed total amount.

The closed line of the credit is the line of credit with the fixed total amount. Option c is the correct option.

What is a line of credit?

On the bases of the requirement, a person or firm takes the open or closed line of credit.

Open Line of Credit-This is a type of short period of loan in which many credit and deposit can be make, for example credit cards.Closed Line of Credit-This type of credit has to be repaid with total amount. The period of such credit is longer than the open line of credit. The deposits is make single time with fixed total amount.

Thus, the closed line of the credit is the line of credit with the fixed total amount. Option c is the correct option.

Learn more about the closed line of credit here;

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Explain how you know whether the numbers, 4/16 and 0.25 are equivalent numbers.

Answers

Answer:

When you divide 4/16 by 4 it equals 1/4. which is known as 0.25 or 25% of a whole.  

Step-by-step explanation:

o have $25,000 to spend on a new car in five years, how much money should Jill invest today at 8% compounded monthly?

Answers

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill &\$25000\\ P=\textit{original amount deposited}\\ r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &5 \end{cases}[/tex]

[tex]25000=P\left(1+\frac{0.08}{12}\right)^{12\cdot 5}\implies 25000=P\left( \frac{151}{150} \right)^{60} \\\\\\ \cfrac{25000}{\left( \frac{151}{150} \right)^{60}}=P\implies 16780.26 \approx P[/tex]


- The four-digit number 1210 has an interesting property.
The first digit, 1, counts how many zeros are in the number.
The second digit, 2, counts how many ones are in the number.
The third digit, 1, counts how many twos are in the number.
The fourth digit, 0, counts how many threes are in the number.
Another number with this property is 2020 (2 zeros, 2 twos, no ones or threes.) Now,
make a 7 digit number ABCDEFG so that its first digit, A, counts the number of zeros
in the number, the second digit, B, counts the number of ones, and so on down to G,
which counts the number of sixes in the number

Answers

Answer:

ABCDEFG = 3211000

Step-by-step explanation:

A counts the number of zeroes, and there are 3 zeroes (E, F, G), so A = 3.B counts the number of ones, and there are 2 ones (C, D), so B = 2.C counts the number of twos, and there is 1 two (B), so C = 1.D counts the number of threes, and there is 1 three (A), so D = 1.There is no four, five, six in, so E, F, G are all zeroes.

What is the perimeter of the given quadrilateral?

Answers

Answer: 20

Step-by-step explanation: a to d, just count how many squares. and you get 5, and there are 4 sides and it's a perfect square so 5 x 4 = 20, so it is 20, you didn't show what the unit will be so don't forget to write that down!

Find the average rate of change between n=1 and n=3

Answers

Answer:

there is not enough information to solve

Step-by-step explanation:

You need two ordered pairs to calculate the average rate of change.

Let's say the value of the function at n = 1 is a, and the value of the function at n = 3 is b, then the average rate of change from n = 1 to n = 3 is

(b - a)/(3 - 1) = (b - a)/2

Math homework pls help!!!!!

Answers

Answer:

z3 = 216      take the cube root of both sides

z = 6 cm  = the side length

Is -9,8 a solution to y=-9

Answers

Answer:

No, it isn't.

Step-by-step explanation:

In (-9, 8), -9 is the x coordinate. The y is 8. In order for -9 to have been a solution, the y would have had to been -9.

Here's what I mean:

(The graph I drew is in the image. I hope it makes sense! Sorry for my bad handwriting, I'm not used to writing on computers.)

I hope this helps!

-No one

PLEASE HELP
If I buy 24 tickets for 25 cents each how much money did I spend?

Answers

$6.00, because 0.25 x 20 = 5.00 + 0.25 x 4 = 1.00

Sylvie bakes 4 trays of muffins. Each tray contains 8 muffins. She gives away 12 muffins to friends.

Let m represent the number of muffins Sylvie has left.

Which equation could be used to find the value of m?


4+8−12=m

4 + 8 + 12 = m

4 × 8 + 12 = m

4×8−12=m

Answers

Answer:

4x8-12=m

Step-by-step explanation:

4 trays x each containing 8 muffins - 12 muffins(giving away)

Skyler is buying a new laptop on layaway for $275; If she pays $55 each week, how many weeks will it take Skyler to pay for the new laptop

Answers

he makes the minimum payment of $15 each month, it will take him 26 months

Solve.
3y − 1 − 9y = 29

(−5, 6, −6, 5)- answer options

Answers

Step-by-step explanation:

STEP

1

:

Pulling out like terms

1.1 Pull out like factors :

-6y - 30 = -6 • (y + 5)

Equation at the end of step

1

:

STEP

2

:

Equations which are never true:

2.1 Solve : -6 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

2.2 Solve : y+5 = 0

Subtract 5 from both sides of the equation :

y = -5

One solution was found :

y = -5

Answer: y=-5

Explanation:

3y-1-9y=29

3y-9y=-6y

-6y-1=29

+1 on both sides

-6y=30

÷-6

y=-5

Based on her results, what is the probability that two students were randomly picked and the first one chose romance and the second one chose action?

1/27

4/7

18/28

1/14

Answers

18/28

Probability of romance and action = 18 (add the two probabilities together)

Add all probabilities together which equals 28

18/28 is your answer

I need to a paint a spherical storage tank in the pool. it has a radius of 8 feet and the paint cans i brought will cover 75 square feet of the surface area. how many cans of paint will i have to buy?

Answers

Answer:   11 cans

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

Explanation:

SA = surface area of the sphere

SA = 4*pi*r^2

SA = 4*pi*8^2

SA = 804.247719

The surface area is roughly 804.247719 sq ft.

I used the calculator's stored version of pi to get the most accuracy possible.

Since 1 paint can covers 75 sq ft, divide that surface area over 75 to find out how many cans you need.

804.247719/75 = 10.72330292

Round up to the nearest integer to get 11

You'll have leftover paint, but it's better to go over the goal than come up short.

Need assistance please


And please put in the full explanation on how you solved it please.

Answers

Answer:

The triangles are not similar

Step-by-step explanation:

We can say whether the triangle UVW is similar to triangle LMN or not by looking at the side lengths' ratio:

If they are similar then the side's must be proportional

VU/LM = VW/NM

35/25 = 22/16 cross multiply expressions

560 = 550 this is not an equation so we cannot say the triangles are similar.

A bird drops of stick to the ground from a height of 95 ft. The function h= 16t^2+95 gives the sticks approximate height h above the ground, in feet, feet r seconds. At above what time does the stick hit the ground

Answers

Answer:

2.44 seconds (above 2 seconds)

Step-by-step explanation:

When the stick hits the ground it has the height of zero.

Substitute h with 0 and solve the given equation for t:

[tex]- 16t^2 + 95 = 0\\16t^2 = 95\\t^2 = 95/16\\t = \sqrt{5.93} \\t=2.44[/tex]

THIS IS EXPONENTIAL FROM TWO POINTS

If f(x) is an exponential function where f(3.5)=21 and f(6.5)=69, then find the value of f(9), to the nearest hundredth.​

Answers

Answer:

i think the answer is 144

Step-by-step explanation:

ohhh so first we should try finding the slope here. since we know the points are (3.5 , 21) and (6.5, 69) we can use the formula to look for the slope

the formula is:

y2 - y1 / x2 - x1

lets substitute

69 - 21 / 6.5 - 3.5

48 / 3

16

f(x) = 16x + b

now we just substitute

btw i dont think we need to find b because this inst a linear equation? im not sure but yea i dont think we need to find the y-intercept

so anyways

f(9) = 16(9)

= 144

PLEASE HURRY

Solve the inequality and express your answer in interval notation.
x2 + 8x-7<0

Answers

It would be A or C
I’m not sure if you’re supposed to use brackets or parentheses

3/8x5/7=? please help
thank you

Answers

Answer:

15/56

Step-by-step explanation:

multiply the top fractions by making the equation the following

3x5

-------

8x7

_________________________

3x5 =15

8x7= 56

hope this helps :)

The solution to the product of fractions is 13/56

How to evaluate the product of fractions

From the question, we have the following parameters that can be used in our computation:

3/8 * 5/7

Evaluate the product of 3 and 5

So, we have

3/8 * 5/7 = 13/8 * 1/7

Evaluate the product of 8 and 7

So, we have

3/8 * 5/7 = 13/56

Hence, the solution is 13/56

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The median weekly income for someone with a high school diploma was $678.00. If they continued their education and obtained a bachelor's degree, their median weekly income increased about 67.7%. Determine the median weekly income for someone with a bachelor's degree. (2 points) $218.99 $568.51 $799.45 $1,137.01

Answers

678x.677=459.006+678=1137.006

At a movie theater, the manager announces that a free ticket will be given to the first person in line whose birthday is the same as someone in line who has already bought a ticket. You have the option of getting in line at any time. Assuming that you don't know anyone else's birthday, and that birthdays are uniformly distributed throughout a 365-day year, what position in line gives you the best chance of being the first duplicate birthday?

please explain how you got this answer. Thank you!​

Answers

The best chance is an illustration of probability

The 21st position in line gives you the best chance of being the first duplicate birthday

How to determine the best position?

Assume you are in the nth position, the probability of getting a free ticket is:

P(n) = P'(first n - 1 people share a birthday) * P(birthday with first n -1 people)

Mathematically, the above can be represented as:

P(n) = [365/365 * 364/365 * 363/365 * ... * (365 - (n -2))/365] * [(n -1)/365]

Such that: n [tex]\le[/tex] 365

When simplified, the equation becomes

p(n)/p(n+1) = 365/(366 - n) * (n - 1)/n

Where

p(n)/p(n+1) > 1

So, we have:

365/(366 - n) * (n - 1)/n > 1

Evaluate the product

(365n -365)/(366n - n²) > 1

Cross multiply

365n -365 > 366n - n²

Collect like terms

n² + 365n - 366n - 365 > 0

Evaluate the difference

n²  - n - 365 > 0

Solve for n using a graphing calculator;

n > - 18.6 or n >19.6

n cannot be negative.

So, we have:

n > 19.6

Approximate to nearest integer

n > 20

The least integer value of n is:

n = 21

Hence, the 21st position in line gives you the best chance of being the first duplicate birthday

Read more about probability at:

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Two sides of a triangle measure 17 inches and 13 inches. The perimeter of the triangle is 45 inches. What is the length in feet of the third side of the triangle?​

Answers

Given:-

[tex]\rightarrow[/tex] First side(a) of triangle = 17in.

[tex]\rightarrow[/tex] Second side(b) of triangle = 13in.

[tex]\rightarrow[/tex] Perimeter of triangle = 45in.

To Find:-

[tex]\rightarrow[/tex]Third side of the triangle.

Formula Used:-

[tex]\rightarrow[/tex] Perimeter of triangle = sum of all side(a+b+c).

Solution:-

[tex]\rightarrow[/tex] Perimeter of triangle = a + b + c.(putting the value of perimeter, side a and b from the above given)

[tex]\rightarrow[/tex] [tex]\sf{45\: = \: 17+13+c}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{45\: = \: 30+c}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{45-30\: = \:c}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{15in.\: = \: c}[/tex]

Therefore, third side = 15in.

[tex]\rightarrow[/tex]To convert this value into feet we need to divide it by 12, because there are 12 inches in a foot.

[tex]\rightarrow[/tex] [tex]\sf{\frac{15}{12}}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{1.25feet}[/tex]

________________________________

Hope it helps you:)

Answer:

Side 3 = 1.25 feet

Step-by-step explanation:

Given :

Two side measures of a triangle = 17 inches and 13 inchesPerimeter = 45 inches

To Find :

Length of 3rd side

Solving :

Side 1 + Side 2 + Side 3 = Perimeter13 + 17 + Side 3 = 45Side 3 = 45 - 30Side 3 = 15 inchesSide 3 = 1.25 feet

Can someone help me with this

Answers

Answer:

NO, but I know who can

Step-by-step explanation:

Whats the mean of 72+72+72+79+82+82+88?

Answers

Answer:

78.1428571429

Step-by-step explanation:


1)The mass of Sarah's dog is 6 Kg more than two times the mass of her cat. The mass of her dog is 16 Kg.What is the mass of her cat?

Answers

Answer:

10 kg

Step-by-step explanation:

Let x be the mass of her cat.

1)

2x + 6 = 16

2x = 16 - 6

2x = 10

x = 10/2

x = 5

2)

2(5)

= 10

Answer:10kg

Step-by-step explanation:

a. In the library there are 2,345 science books, 1,469 history books, 270 chairs, and 628 ma zines. How many readable items in all are in the library?​

Answers

Answer:

4442

Step-by-step explanation:

We Cant Read A Chair So We Exclude Chairs.

Therefore, 2345+1469+628

Which is equals to 4442

Compare the quantity in column A with the quantity in column B. Choose the best answer.

The quantity in column A is greater.
The quantity in column B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.

Answers

Answer:

  (c)  The two quantities are equal.

Step-by-step explanation:

The sine of an angle is equal to the cosine of its complement. In a right triangle, the acute angles are complementary, which means ...

  sin(A) = cos(B)

The two quantities are equal.

Answer:

Step-by-step explanation:

Sin(A) = opposite / hypotenuse

opposite = 4

hypotenuse = 5

Sin(A) = 4/5 = 0.8

Cos(B) = adjacent / hypotenuse.

adjacent = 4

hypotenuse = 5

Cos(B) = 4/5 = 0.8

Believe it or not, this will always happen if you take Sin(A) and find that Cos(90 - A) are equal

Take a simpler case. Suppose you are working with a 30 60 90 triangle.

Cos(60) = Sin(90 - 60) = 1/2

Given that 1 x2 dx 0 = 1 3 , use this fact and the properties of integrals to evaluate 1 (4 − 6x2) dx. 0

Answers

So, the definite integral  [tex]\int\limits^1_0 {(4 - 6x^{2} )} \, dx= - 74[/tex]

Given that

[tex]\int\limits^1_0 {x^{2} } \, dx = 13[/tex]

We find

[tex]\int\limits^1_0 {(4 - 6x^{2} )} \, dx[/tex]

Definite integrals

Definite integrals are integral values that are obtained by integrating a function between two values.

So, [tex]Integral \int\limits^1_0 {(4 - 6x^{2} )} \, dx[/tex]

So, [tex]\int\limits^1_0 {(4 - 6x^{2} )} \, dx = \int\limits^1_0 {4} \, dx - \int\limits^1_0 {6x^{2} } \, dx \\= 4[x]^{1}_{0} - \int\limits^1_0 {6x^{2} } \, dx \\= 4[x]^{1}_{0} - 6\int\limits^1_0 {x^{2} } \, dx \\= 4[1 - 0] - 6\int\limits^1_0 {x^{2} } \, dx\\= 4[1] - 6\int\limits^1_0 {x^{2} } \, dx\\= 4 - 6\int\limits^1_0 {x^{2} } \, dx[/tex]

Since

[tex]\int\limits^1_0 {x^{2} } \, dx = 13[/tex],

Substituting this into the equation the equation, we have

[tex]\int\limits^1_0 {(4 - 6x^{2} )} \, dx = 4 - 6\int\limits^1_0 {x^{2} } \, dx\\= 4 - 6 X 13 \\= 4 - 78\\= -74[/tex]

So, [tex]\int\limits^1_0 {(4 - 6x^{2} )} \, dx= - 74[/tex]

Learn more about definite integrals here:

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The value of the function [tex]\rm \int\limits{(4-6x^2)} \, dx[/tex] is -74.

What is a definite integral?

A definite Integral is a difference between the values of the integral at the specified upper and lower limit of the independent variable.

The given function is;

[tex]\rm \int\limits^1_0 {x^2} \, dx=13[/tex]

Calculation of the value of the function by using integration;

[tex]\rm= \int\limits{(4-6x^2)} \, dx \\\\=4 \int\limits^1_0 {} \, dx -6\int\limits^1_0 {x^2} \, dx \\\\=4 \int\limits^1_0 {} \, dx -6(13)\\\\ =4[x]^1_0-78\\\\= 4[1-0]-78\\\\=4-78\\\\=-74[/tex]

Hence, the value of the function [tex]\rm \int\limits{(4-6x^2)} \, dx[/tex] is -74.

To know more about definite integration click the link given below.

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