2radical3+3radical2
Rationalize the denominator (simplify)
(3-√2​

Answer:

- Banking Operations salary in India with less than 1 year of experience to 10 years ranges from ₹ 1.4 Lakhs to ₹ 7 Lakhs with an average annual salary of ₹ 3.1 Lakhs based on 261 latest salaries

The division is given below.

The quotient is 125 and the remainder is 0.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

1875 ÷ 15

This can be written as,

 15 ) 1875 ( 125

        15    

          37    

          30

            75

            75

              0

Thus,

The quotient is 125 and the remainder is 0.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

After inviting an additional friend to help, Estella and her friends can make a total of 5 glasses of lemonade, which is an additional 1 glass.

Suppose Estella was making lemonade alongside three friends and decides to invite an additional friend to help.

The number of additional glasses of lemonade Estella and her four friends can produce will depend on several factors, such as the recipe's ingredients, the size of the glasses, and the capacity of the lemonade container.

Suppose each person can make a glass of lemonade using half a lemon, a tablespoon of sugar, and a cup of water.

To make five glasses of lemonade, Estella and her friends would need 2.5 lemons, 5 tablespoons of sugar, and 5 cups of water.

Suppose Estella has enough lemons, sugar, and water to make 20 glasses of lemonade, and each glass is eight ounces.

After inviting her friend to help, Estella and her four friends can make a total of 25 glasses of lemonade, which is an additional 5 glasses.If each person makes a glass of lemonade that is six ounces in size, Estella and her friends can produce 30 glasses of lemonade.

With an additional friend, they can make 35 glasses of lemonade, which is an additional 5 glasses.Suppose Estella's recipe only produces one glass of lemonade per person.

To learn more about : total

https://brainly.com/question/9879870

#SPJ8

Answer: x =5

Step-by-step explanation:

\(x + 3 + 3(x + 2) = - 24\)

\(x + 3 + 3x + 6 = - 24\)

\(4x + 9 = - 24\)

\(4x = - 24 - 9\)

\(4x = - 33\)

\(x = \frac{ - 33}{4} \)

The correct statement is;

False,  because x = \(cos^-^1({\frac{-1}{2} )\) is in the interval \(( -\frac{\pi }{2} , \frac{\pi }{2} )\) that is, \(cos^-^1({\frac{-1}{2} )\) = \(\frac{2\pi }{3}\). So all solutions of cos x = -1/2 will be  x = 2π/3 + 2nx and x = 4π/3 + 2nx.

Option D

From the information given, we have that;

All solutions are cos x = -1/2 are given by x = 4x/2 + 2πx

There are multiple solutions to the equation cos x = -1/2, and they are denoted by the values x = 2π/3 + 2nx and x = 4π/3 + 2nx

Such that n is an integer.

This is so because the cosine function repeats itself every 2π, or its period. We therefore multiply the general answer by multiples of 2 to obtain all solutions.

The formula x = 4x/2 + 2πx implies that each solution can be reached by x being multiplied by 4/2 and 2πx being added.

Learn more about cosine function at: https://brainly.com/question/29100023

#SPJ1

Answer:

calculator gave me 6.5732

Step-by-step explanation:

Answer:

it will take 9 hours to empty the pool.

Step-by-step explanation:

The pool is shaped like a rectangular prism with length 30 feet, wide 18 ft, and depth 4ft. It means that when the pool is full, its volume is

30 × 18 × 4 = 2160 ft³

If water is pumped out of the pool at a rate of 216ft3 per hour, then the rate at which the water in the pool is decreasing is in arithmetic progression. The formula for determining the nth term of an arithmetic sequence is expressed as

Tn = a + d(n - 1)

Where

a represents the first term of the sequence(initial amount of water in the pool when completely full).

d represents the common difference(rate at which it is being pumped out)

n represents the number of terms(hours) in the sequence.

From the information given,

a = 2160 degrees

d = - 216 ft3

Tn = 0(the final volume would be zero)

We want to determine the number of terms(hours) for which Tn would be zero. Therefore,

0 = 2160 - 216 (n - 1)

2160 = 216(n - 1) = 216n + 216

216n = 2160 - 216

216n = 1944

n = 1944/216

n = 9

Answer:

Is there a picture attached to this or how big the whole yard is?

Step-by-step explanation:

Answer:

\(\frac{30meters}{second}\)

600meters

Step-by-step explanation:

Use conversion factors that represent 1.  You can cross cancel wods just like numbers.

\(\frac{108km}{1hour}\) · \(\frac{1hour}{60 minutes}\) · \(\frac{1minute}{60seconds}\) ·\(\frac{1000meters}{1 km}\)

\(\frac{108000meters}{3600seconds}\)

\(\frac{30meters}{second}\)

\(\frac{30meters}{second}\) ·\(\frac{20seconds}{1}\)

600 meters

Helping in the name of Jesus.

Answer:

Option 4

Step-by-step explanation:

The domain of this function is the possible values of n that are suitable for this function. Since n represents a number of vehicles, the domain of n should be a whole number (since you cannot have a negative number of vehicles or half of a vehicle).

hope this helps :)

The interest earned during the third month of the 7th year is $3,613.55.

What is interest rate?

The amount of interest due each period expressed as a percentage of the amount lent, deposited, or borrowed is known as an interest rate.

Let PMT be the monthly payment, r be the monthly interest rate, and n be the total number of payments. Then:

FV = PMT × [(1 + r)n - 1]/r

In this case, we want to find PMT, given that FV = $900,000, r = 0.038/12, and n = 10 × 12 = 120:

\($900,000 = PMT * {[(1 + 0.038/12)}^{120} - 1]/(0.038/12)\)

Solving for PMT, we get:

PMT = $682.48

\(FV = $682.48 * [(1 + 0.038/12)^87 - 1]/(0.038/12)\\\\ = $89,324.47\\\\PV = $682.48 * [(1 + 0.038/12)^83 - 1]/(0.038/12) \\\\= $85,710.92\)

The interest earned during the third month of the 7th year is:

$89,324.47 - $85,710.92 = $3,613.55

Therefore, the interest earned during the third month of the 7th year is $3,613.55.

To know more about interest rate? visit,

https://brainly.com/question/25793394

#SPJ1

Answer:

Step-by-step explanation:

Picture is quite fuzzy so I will ASSUME that the triangle has inner angles of 100° and 34° (now I'm told it's 38)

This means the unlabeled angle is 180 - 100 - 34 = 46°

180 - 100 - 38 = 42°

Using law of sines.

a/sin46 = 12/sin34

a/sin42 = 12/sin38

a = 12sin46/sin34 = 15.17415...

a = 12sin42/sin38 = 13.04217...

round as appropriate. I think it my say to the hundredths

a = 15.17

a = 13.04

If I did not guess the numbers in the photo correctly, just use the same technique to arrive at a better solution.

Answer:

Hint: everything in that big [] is to the power of zero. anything to the power of zero is one. so

1+(6-8)=?

The standard deviation for this set of data is approximately 2.85.

To find the standard deviation, we first need to take the square root of the variance. Therefore, the standard deviation for the given data set is the square root of 8.1, which is approximately 2.846.
To find the standard deviation of a set of data when the variance is given, you simply need to take the square root of the variance. In this case, the variance equals 8.1.
Step 1: Identify the variance, which is 8.1.
Step 2: Take the square root of the variance.
Standard Deviation = √(Variance) = √(8.1)
Step 3: Calculate the square root of 8.1.
Standard Deviation ≈ 2.85
So, the standard deviation for this set of data is approximately 2.85.

For more such questions on standard deviation  , Visit:

https://brainly.com/question/475676

#SPJ11

The missing variables on item 2 are given as follows:

The three trigonometric ratios are the sine, the cosine and the tangent of an angle, and they are obtained according to the formulas presented as follows:

For the angle of 60º, we have that:

Hence the length o is given as follows:

tan(60º) = o/12.

\(\sqrt{3} = \frac{o}{12}\)

\(o = 12\sqrt{3}\)

Applying the Pythagorean Theorem, the length i is given as follows:

i² = 12² + \((12\sqrt{3})^2\)

i² = 576

i² = 24²

i = 24.

A similar problem, also about trigonometric ratios, is given at brainly.com/question/24349828

#SPJ1

Answer:

o = 12√3

i = 24

Step-by-step explanation:

From observation of the given right triangle, we can see that two of its interior angles measure 60° and 90°. As the interior angles of a triangle sum to 180°, this means that the remaining interior angle must be 30°, since 30° + 60° + 90° = 180°. Therefore, the triangle is a special 30-60-90 triangle.

The side lengths in a 30-60-90 triangle have a special relationship, which can be represented by the ratio formula a : a√3 : 2a, where "a" represents a scaling factor that can be any positive real number.

In triangle #2, the shortest leg is 12 units.

As "a" is the shortest leg, the scale factor "a" is 12.

The side labelled "o" is the longest leg opposite the 60° angle. Therefore:

\(o = a\sqrt{3}=12\sqrt{3}\)

The side labelled "i" is the hypotenuse of the triangle. Therefore:

\(i= 2a = 2 \cdot 12=24\)

Therefore:

Step-by-step explanation:

h(x) = ( x - 3)²

The domain of h is All real value of x

the correct answer is option E

Answer:

Option E = All real values of x

h(x) = (x-3)^2

The domain of h is ALL REAL VALUE OF x.

9514 1404 393

Answer:

  49 ÷ 7 = 7

Step-by-step explanation:

We assume your intended quotients are ...

  49 ÷ 7 = 7

  4.9 ÷ 7 = 0.7

  0.49 ÷ 0.7 = 0.7

  0.049 ÷ 0.07 = 0.7

The one that is different is 49 ÷ 7.

__

Evaluation of the quotients tells you which is different. Inspection of place values also tells you which is different. In all but the first quotient, the 4 and the 7 are in the same number place, so the quotients will be the same value.

The given graph shows that the function is periodic and fluctuates between y = -2 and y = 2. So, the range of the function is [-2,2].

The graph covers one period, which is from x = -3 to x = 3, and then repeats itself indefinitely in both directions. So, the domain of the function is (-∞, ∞).

In general, the domain of a function consists of all the possible input values that the function can take. In this case, since the function repeats itself indefinitely, it can take any input value from negative infinity to positive infinity.

So, the domain is (-∞, ∞). The range of a function, on the other hand, consists of all the possible output values that the function can produce.

In this case, the function oscillates between y = -2 and y = 2, so the range is [-2,2]. The interval notation for the domain is (-∞, ∞) and for the range is [-2,2].

for such more questions on function

https://brainly.com/question/11624077

#SPJ8

The total number of kilometers that the friends hiked in all would be 2. 02 km.

The total distance that Jordan, Jessica, Eloise, and James hiked in the Austrian Alps, can be found to be :

= Distance on Monday + Distance on Tuesday

= 1. 08 + 0. 94

= 2. 02 km

Using grids, you can represent a single box as 0. 1 km so that for 1. 08 km you will have a grid of 108 cubes. Do the same for Tuesday to get 94 cubes.

Add them up and you will get 202 cubes which would be 2.02 km.

Find out more on grids at https://brainly.com/question/25242892

#SPJ1

The maximum APR with quarterly compounding that the borrower will accept from a lender is 16.132%.

To convert the maximum effective monthly rate of 1% into an APR with quarterly compounding, we can use the formula:

\(APR = [(1 + \dfrac{r}{n})^n - 1] \times 4\)

Where r is the effective monthly rate and n is the number of compounding periods per year. In this case, we want to find the maximum APR with quarterly compounding that the borrower will accept, so we can substitute r = 1% and n = 3:

\(APR = ((1 + \dfrac{0.01}{3})^3 - 1) \times 4\)

APR = (1.0100333³ - 1) x 4

APR = 0.04033 x 4

APR = 0.16132 or 16.132%

Therefore, the maximum APR with quarterly compounding that the borrower will accept from a lender is 16.132%.

To know more about APR follow

https://brainly.com/question/2772156

#SPJ9

Answer:

a

Step-by-step explanation:

10 x the difference ofa number"n" - 6

Answer:

I would say the first one

Step-by-step explanation:

Answer:

104 cm 3

Step-by-step explanation:

4×4×2 = 32

6×6×2 = 72

32+72 = 104

Answer:

slope intercept form: y= -6x+3

point slope form: y-0= -6(x -1/2)

Step-by-step explanation:

point slope form: y - y1 = m(x - x1)

substitute the values  y-0=-6(x-1/2)

slope intercept form:

find the slope using two given points

m = (y2 - y1) / (x2 - x1)

= (3 - 0) / (0 - 1/2)

= 3 / (-1/2)

= -6

substitute into equation

y= -6x+3

Answer: -0.5c

Step-by-step explanation: multiply -2.5 by 1/5 (0.2) and you get -0/5

Answer:

-0/5

Step-by-step explanation:

-2.5 by 1/5 (0.2)

Answer:

235989936000

Step-by-step explanation:

To form 8 letter words from 30 letters

Using permutation :

nPr = n! ÷ (n-r)!

30P8 = 30! ÷ (30-8)!

30P8 = 30! ÷ 22!

30P8 = (30*29*28*27*26*25*24*23)

30P8 = 235989936000 words

So, the spread of the numbers 4, 6, 7, 9, 9 is 5.

Spread can refer to different things depending on the context. Here are a few examples:

In finance, spread refers to the difference between the bid price and the ask price of a security or asset. The bid price is the highest price a buyer is willing to pay for a security, while the ask price is the lowest price a seller is willing to accept. The spread represents the cost of trading that security or asset and is typically measured in basis points (hundredths of a percentage point).

In sports betting, spread refers to the point spread or handicap that is assigned to a team in order to make the betting odds more even. For example, if a football team is favored to win by 7 points, they may be assigned a -7-point spread, meaning they would have to win by more than 7 points for a bet on them to be successful.

In epidemiology, spread refers to the transmission of a disease from one person to another. The spread of a disease can be influenced by a variety of factors, including the infectiousness of the disease, the proximity and frequency of contact between people, and the effectiveness of measures to prevent transmission (such as vaccines or masks).

In cooking, spread can refer to a variety of ingredients that are used to spread on bread or crackers, such as butter, jam, or peanut butter.

To know more about factors visit:

https://brainly.com/question/14067703

#SPJ1

The transformed point if reflected over y = x is (4, 10)

Reflections are transformation technique used to change the position of an image on an xy-plane.

Given the coordinate (10, 4), if this coordinate points are reflected over y =x, this shows that we will simply swap the coordinate points to have (4, 10)

Hence the transformed point if reflected over y = x is (4, 10)

Learn more on reflection here: https://brainly.com/question/1908648

#SPJ1