Simplify 5
√8
+
1
√3
.

Answers

Answer 1

To simplify the expression 5√8 + √3, we can simplify each radical term separately and then combine them.

First, let's simplify the radical terms:

√8 can be simplified as 2√2 because 8 can be factored into 4 * 2, and √4 is equal to 2.

√3 cannot be simplified further since 3 is a prime number.

Now, let's substitute the simplified radical terms back into the expression:

5√8 + √3 becomes 5(2√2) + √3.

Next, we can multiply the coefficients outside the radicals:

5(2√2) is equal to 10√2.

Putting it all together, the simplified expression is:

10√2 + √3.

So, 5√8 + √3 simplifies to 10√2 + √3.


Related Questions

help me plz i need help

help me plz i need help

Answers

25 is the surface area. You have to multiply.

What is the approximate standard deviation of the returns on an average stock?

a. 15 percent

b. 25 percent

c. 20 percent

Answers

The approximate standard deviation of the returns on an average stock is typically around 15 to 25 percent. This indicates the volatility or risk associated with the stock's returns.

However, it's important to note that the actual standard deviation can vary depending on various factors, such as market conditions, industry trends, and company-specific factors.

Therefore, it is recommended to consider historical data, market analysis, and professional guidance when evaluating the standard deviation of a specific stock.

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Subtract. (-w+0.4)-(-w-0.4)

Answers

Answer:

0.8

Step-by-step explanation:

(-w+0.4)+(w+0.4)

=0.8

1. Distribute the negative
(-w+0.4) - (-w-0.4)
-w+0.4+w+0.4
2. Combine like terms
-w+w+0.4+0.4
=0.8

La suma de tres números es 200 y el mayor excede al del medio en 32 y al menor en 65 cuáles son esos números

Answers

Based on the calculations, the unknown numbers include the following:

The largest number is 99.The middle number is 67.The smallest number is 34.

How to determine these unknown numbers?

In order to solve this word problem, we would assign variables to the unknown numbers and then translate the word problem into algebraic equation as follows:

Let x represent the largest number.Let y represent the middle number.Let z represent the smallest number.

Translating the word problem into an algebraic equation, we have;

The sum of three numbers is 200:

x + y + z = 200   .........equation 1.

The largest exceeds the middle number by 32:

x = y + 32

y = x - 32    .........equation 2.

The largest exceeds the smallest number by 32:

x = z + 65

z = x - 65    .........equation 3.

Substituting equation 2 and 3 into equation 1, we have:

x + y + z = 200

x + (x - 32) + (x - 64) = 200

3x - 97 = 200

3x = 200 + 97

3x = 297

x = 297/3

x = 99

For the value of y, we have:

y = x - 32

y = 99 - 32

y = 67.

For the value of z, we have:

z = x - 65

z = 99 - 65

z = 34

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Complete Question:

The sum of three numbers is 200 and the largest exceeds the middle by 32 and the smallest by 65. What are those numbers?

HELP! I need to know how much I got wrong! There are 23 questions on my test but the points are out of 5. When I finished the test, I got 3.26/5. How many wrong?

Answers

Answer:

8 wrong and 15 right if every question is the same points

Step-by-step explanation:

3.26/5 is 0.652

15/23 is 0.652 ish rounded

So I assume 8 wrong

Erik correctly rounds three numbers. One and StartFraction 7 over 29 EndFraction rounds to 1 One and five-sixths rounds to 2 0.16 rounds to 0 Which shows the numbers One and StartFraction 7 over 29 EndFraction, One and five-sixths, and 0.16 in order from greatest to least?30pts

Answers

Answer:

From greatest to least

One and five-sixth rounded to 2

One and StartFraction 7 over 29 rounded to 1

0.16 rounded to 0

Step-by-step explanation:

1+7/29=29+7/29

=36/29

=1.24

Approximately

=1

1+5/6=6+5/6

=11/6

=1.83

Approximately

=2

0.16

Approximately =0

From greatest to least

One and five-sixth rounded to 2

One and StartFraction 7 over 29 rounded to 1

0.16 rounded to 0

What number has an absolute value of 17?

Answers

17 and -17

absolute value is just the distance the number is from zero

Answer:

Thanks for free pnts

Step-by-step explanation:

253 x 804 =
Solve by using standard algorithms

Answers

Answer:

203412

Step-by-step explanation:

253

*804

___

16

  40

    32

      20

         12

______

 203412

This is a Vedic Math trick you can use to multiply fast, called the criss-cross method.

On Dec. 10, Merchandise is sold for $2,0002/10, n/30 to ABC who sends a remittance on Dec. 26 . What is the amount of remittance? a. 1,800 b. 1,400 c. 1,960 d. 2,000

Answers

The amount of the remittance from ABC is $1,960.

The given information states that merchandise is sold for $2,000 with terms of 2/10, n/30 to ABC. The terms 2/10, n/30 imply a 2% discount if payment is made within 10 days, with the full amount due within 30 days.

Since ABC sends a remittance on Dec. 26, it means the payment is made after the discount period but within the credit period. Therefore, ABC is not eligible for the discount of 2%.

To calculate the amount of the remittance, we simply subtract the discount from the total amount. In this case, the discount is $2,000 * 2% = $40. Thus, the remittance amount is $2,000 - $40 = $1,960.

In conclusion, the amount of the remittance from ABC is $1,960, as they did not qualify for the early payment discount.

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Edwin goes to a restaurant with some friends.

Here are the meals they have

2 fish and chips at £9.25 each
1 chicken and chips at £9.50
1 roast lamb at £10.55
4 puddings at £4.55 each.

Edwin pays for the meals with three £20 notes.

How much change should Edwin get?

Answers

Answer:

£3.25

Step-by-step explanation:

£9.25×2+ £9.50+£10.55+£4×4.55

18.5+9.50+10.55+18.2

=£3.25

Answer:

£2.75

Step-by-step explanation:

2(9.25) + 1(9.50) + 1(10.55) + 4(4.55) = x

19.00 + 9.50 + 10.55 + 18.20 = x

28.50 + 28.75 = x

57.25

60 - 57.25 = 2.75

£100 is deposited in a bank paying 2.25% simple interest per annum. How much interest will have been paid after 5 years?

Answers

Answer:

£11.25

Step-by-step explanation:

The formula to calculate simple interest is given as:

Simple Interest = Principal × Rate × Time

Principal = Amount deposited in the bank = £100

Interest rate = 2.25%

Time in years = 5 years

Hence,

Simple Interest = £100 × 2.25% × 5

= £11.25

Therefore, the interest that will have been paid after 5 years is £11.25

Solve for d.
8d–3=5+9d

Answers

Answer:

-8

Step-by-step explanation:

8d-3=5+9d

8d-9d=5+3

-d=8

d=-8

Answer:

d = -8

Step-by-step explanation:

Hello!

Solve for d by isolating the variable.

Solve for d8d - 3 = 5 + 9d-d - 3 = 5-d = 8d = -8

The value of d is -8.

After subtracting 2x from each side, the resulting equation is shown below:
2x--3y=-9
-3y=-2x-9
the final step to solve for y would be to ?

Answers

Answer:

divide each number by negative 3

Step-by-step explanation:

-3y=-2x-9

y=2/3+3

Please help ASAP 20 points

1. Graph the function below by finding the slope and y-intercept. Show all of your work.
f(x)=3x-3

2. Graph the function below by finding the slope and y intercept. Show all your work
X-5y+10=0

3. Graph the function below by finding the slope and y intercept. Show all of your work
F(x)=-4/5x+6

Answers

Answer:

2 I took the test it's right

Answer:

2

Step-by-step explanation:

I took the test

What is the additive inverse of the opposite of -10?

Answers

Answer:

10. HOPE IT HELPSSSS

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

What is the average service revenue per hour in each month and the overall average for the six-month period

Answers

To find the average service revenue per hour in each month and the overall average for the six-month period, the monthly service revenue per hour must be calculated and then the overall average can be calculated. Here's how to find the average service revenue per hour in each month and the overall average for the six-month period.

The table shows the service revenue per hour for each of the 6 months. Month Revenue Hours Revenue per hour January $ 4,000 200 $ 20 February $ 3, 500175 $ 20 March $ 5, 000250 $ 20 April $ 5, 500275 $ 20 May $ 4, 000200 $ 20June$3,500175$20Step 1: Monthly Service Revenue per Hour January: $4,000 ÷ 200 hours = $20 per hour February: $3,500 ÷ 175 hours = $20 per hour

March: $5,000 ÷ 250 hours = $20 per hour April: $5,500 ÷ 275 hours = $20 per hour May: $4,000 ÷ 200 hours = $20 per hour June: $3,500 ÷ 175 hours = $20 per hour  Therefore, the service revenue per hour is $20 per hour every month. Step 2: Overall Average Service Revenue per Hour The overall average service revenue per hour is obtained by adding all the service revenue per hour figures together and dividing by the number of months.$20 + $20 + $20 + $20 + $20 + $20 = $120Then $120 ÷ 6 = $20The overall average service revenue per hour is $20.

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The lengths of the sides of a triangle are given. Classify each triangle as acute, right, or obtuse.
7.) 4, 5, 6
8.) 11, 12, 15
9.) 30, 40, 50

Answers

The given triangles are obtuse = 36 m, right angled = 225 m and right angled = 2500 m.

What is Triangle?

Triangle can be defined in which it consists of three sides, three angles and sum of three angles is always 180 degrees.

7.) This triangle is obtuse.

To see this, we can use the Pythagorean theorem:

4*4 + 5*5 = 16 + 25 = 41

6*6 = 36 m

Since 41 > 36, we know that the triangle is obtuse.

8.) This triangle is right.

To see this, we can again use the Pythagorean theorem:

11*11 + 12*12 = 121 + 144 = 265

15*15 = 225 m

Since 265 = 225 + 40, we know that the triangle is right.

9.) This triangle is also right.

We can use the same method as before:

30*30 + 40*40 = 900 + 1600 = 2500

50*50 = 2500 m

Since 2500 = 2500, we know that the triangle is right.

Therefore, The given triangles are obtuse , right angled and right angled.

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the population of a slowly growing bacterial colony after hours is given by . find the growth rate after 3 hours.

Answers

The growth rate of the bacterial colony after 3 hours is 32%, the population of a slowly growing bacterial colony after t hours is given by the function p(t) = 100 + 24t + 2t²

The growth rate of the colony is the rate of change of the population, which is given by the derivative of the function. The derivative of p(t) is p'(t) = 24 + 4t

The growth rate after 3 hours is p'(3) = 24 + 4 * 3 = 32. This means that the population of the colony is increasing by 32% after 3 hours.

The derivative of a function gives the rate of change of the function.The growth rate of a population is the rate of change of the population.The growth rate of a bacterial colony can be calculated by differentiating the function that represents the population of the colony.

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I NEED HELP ON THIS!! Solve for y: 3(2x+5)+4y=3(y-2x)+10

Answers

Answer:

10

Step-by-step explanation:

Begin with x3 + y3 = 4 . Differentiate both sides of the equation, getting

D ( x3 + y3 ) = D ( 4 ) ,

D ( x3 ) + D ( y3 ) = D ( 4 ) ,

(Remember to use the chain rule on D ( y3 ) .)

3x2 + 3y2 y' = 0 ,

so that (Now solve for y' .)

3y2 y' = - 3x2 ,

.

A teacher gave a 25 question multiple choice test. After scoring the tests, she computed a mean and standard deviation of the scores. The standard deviation was 0. Based on this information........ (choose the correct choice) None of the above. she must have made a mistake. about half the scores were above the mean. all the students had the same score.

Answers

By applying standard deviation concept, it can be concluded that all the students had the same score.

The mean is the average of all the scores. It is calculated by adding up all the scores and dividing them by the number of scores.

The standard deviation is a measure of how spread out the scores are. It is calculated by finding the difference between each score and the mean, squaring those differences, finding the average of those squared differences, and then taking the square root of that average.

If all the scores are the same, then the difference between each score and the mean will be 0. This means that the standard deviation will also be 0. Therefore, the correct answer is "all the students had the same score."

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(a) The area of a rectangular garden is 5658 m?.
If the width of the garden is 69 m, what is its length?
(b) The perimeter of a rectangular window is 262 cm.
If the length of the window is 73 cm, what is its width?

Answers

A) Length is 82 m

B) Width is 58 cm

Hope this is helpful!

What is the area of the figure triangle sides 3, 4, 8

Answers

Answer:

Area of a triangle = (base x height) / 2

if the base is 3 and height is 4

Area = (3x4)/2 = 6 sq units

if the base is 4 and height is 8

Area = (4x8)/2 = 16 sq units

if base is 3 and height is 8

Area = (3x8)/2 = 12 sq units

Two children are playing a code-breaking game. One child makes a sequence of three colors from red, yellow, blue, and purple. The other child must guess the sequence of colors in the correct order. Once one color is used, it cannot be repeated in the sequence.

What is the probability that the sequence is guessed on the first try?

StartFraction 1 Over 24 EndFraction
One-eighth
One-fourth
One-third

Answers

Answer:

1/24

Step-by-step explanation:

i just took it

The probability that the sequence is guessed on the first try is 1/24.

Probability

Total colors available for making code=4

Colors required for making code=3

Hence:

Total ways of making code=4p3=4!/(4-3)!

=4×3×2×1/1

=24

Probability that the sequence is guessed on the first try=1/Total ways of making code

Probability that the sequence is guessed on the first try=1/24

Therefore the correct option is A.

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What is the slope of the line that passes through the points (2, 9) and (18, -3)?
Write your answer in simplest form.

Answers

Answer:

m =  \(\frac{-3}{4}\)

Step-by-step explanation:

Slope = rise/run or (y2 - y1) / (x2 - x1)

Points (2, 9) and (18, -3)

We see the y decrease by 12 and the x increase by 16, so the slope is

m = \(\frac{-12}{16}\) = \(\frac{-3}{4}\)

ampusFest is a student festival where local businesses come on campus to sell their goods to students at vastly reduced prices. As part of a give-away promotion, a local cellular phone company gave away 400 cellular phones to students who signed up for their calling service. What the company doesn't know is that 30 of these cellular phones were faulty and will cause a small explosion when dialed outside the local calling area. Suppose you and your roommate each received one of the giveaway phones. Find the probability that at least one of the two phones is faulty.

Answers

Answer:

0.14455

Step-by-step explanation:

Since there are 30 faulty phones out of 400. It means that the Number of working phones are; 400 - 30 = 370

Probability that you will get a working phone = 370/400 = 37/40

Probability that your roommate will get a working phone after you have gotten = 369/399

Thus,probability that both of you will get a working phone = (37/40) × (369/399) = 0.85545

Finally, probability that at least one of the two phones is faulty = 1 - 0.85545 = 0.14455

A line passes through the point (-9,1) and has a slope of -2/3

Answers

Answer:

y - 1 = (-2/3)(x + 9)

Step-by-step explanation:

Here you are given a point on a line and the slope of the line.  You'll need to apply the "point-slope" formula

y - k = m(x - h) (Memorize this)

Then m = slope = -2/3, h = -9 and k = 1.

Making the appropriate substitutions, we get:

y - 1 = (-2/3)(x + 9)

Kim poured a 24-ounce container of orange juice into 5 cups. She poured the same amount of juice into each cup. Write a rational number that represents the amount of juice in each cup.Required to answer.Single line text.

Answers

Answer:

4.8

Step-by-step explanation:

24/5 = 4.8

A rational number is any whole number, fraction, finite decimal or repeating decimal. Therefore 4.8 = rational number.

A rational expression to represent the amount of juice in each cup is 24/5.

What is a fraction?

A fraction is a part of the whole represented by a/b, where a and b are any integers.

Given, Kim divided 24 ounces of orange juice into 5 cups.

Therefore, the amount of juice in each cup is:

24/5

Hence, a rational expression to represent the amount of juice in each cup is 24/5.

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A clothing designer determines that the number of shirts she can sell is given by the formula S = −4x2 + 72x − 68, where x is the price of the shirts in dollars. At what price will the designer sell the maximum number of shirts? (1 point)

$256

$17

$9

$1

PLEASE HELP

Answers

The designer will sell the maximum number of shirts when the price is $9.

How to solve for the price

To find the price at which the designer will sell the maximum number of shirts, we need to determine the value of x that corresponds to the maximum value of the given formula S = -4x^2 + 72x - 68.

To find the maximum value, we can use the concept of the vertex of a parabola. The x-coordinate of the vertex can be found using the formula x = -b / (2a), where a, b, and c are the coefficients of the quadratic equation in the form ax^2 + bx + c.

In this case, a = -4 and b = 72. Plugging these values into the formula, we have:

x = -72 / (2*(-4))

x = -72 / (-8)

x = 9

Therefore, the designer will sell the maximum number of shirts when the price is $9.

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Alice likes to have wine with her dinner on Friday and Saturday night. She usually buys two bottles of wine for the weekend. She really needs to cut back on spending. She decides to buy only one bottle per week. On average a bottle of wine costs $15. How much does she save in one year?

Answers

Step-by-step explanation:

you are really struggling with such simple things ? you only need to type it into your calculator, and you have your answer in 2 seconds.

instead you are posting the question here, then you wait, if there is an answer, then you copy the answer back to your work ...

so, please tell me, what is your real problem with these questions ?

there are 52 weeks in a year.

instead of 2 bottles of $15 each she now only buys 1 bottle of $15 per week.

she saves $15 per week (one bottle instead of 2).

so, in a year she saves

15×52 = $780

What is the slope of the line that contains these points? (15,-10) (17,2) (19,14) (21,26)

Answers

the slopes of the line is 6

Answer:

6

Step-by-step explanation:

The slope (m) can be found using the formula ...

 m = (y2 -y1)/(x2 -x1)

Any pair of points will do. We can use the first two.

 m = (2 -(-10))/(17 -15) = 12/2

 m = 6

The slope of the line is 6.

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