If the geometric mean of a and 34 is 6 sqrt(17) find the value of a

Answers

Answer 1

Using the geometric mean concept, it is found that the value of a is 18.

----------------------

The geometric mean, of a data-set of n elements, [tex](n_1, n_2, ..., n_n)[/tex], is given by:

[tex]G = \sqrt[n]{n_1 \times n_2 \times ... \times n_n}[/tex]

That is, the nth root of the multiplication of all elements.

----------------------

In this question:

Two elements(n = 2), a and 34.[tex]G = 6\sqrt{17}[/tex]

Thus:

[tex]\sqrt{34a} = 6\sqrt{17}[/tex]

We find the square of each side, so:

[tex](\sqrt{34a})^2 = (6\sqrt{17})^2[/tex]

[tex]34a = 36\times17[/tex]

Simplifying both sides by 17:

[tex]2a = 36[/tex]

[tex]a = \frac{36}{2}[/tex]

[tex]a = 18[/tex]

The value of a is 18.

A similar example is given at https://brainly.com/question/15010240


Related Questions

These are AP statistics multiple choice questions. I don’t know if I got them correct but can double you check for me?

Answers

Answer:

first question

mean = 5.11

median = 6

mean = sum of the terms

number of terms

= 271

53

= 5.11

median is the 27th (arrange lowest to highest number)

conclusion, the median is higher than mean, the answer is B.

sec question

a is the answer

third question

a is the answer

last question

mean = 60838

median = 60000

the answer is B

3a+2b=17, b = 4a -30

Answers

Answer:

3a+2b=17

soln

3a+2b=17

3a+2b-2b=17-2b

3a=17-2b

3a/3=17/3-2b/3

a=17-2b/3

Hope it helps !!!!!!!

please help me for this question....​

Answers

Answer:

the answer is 3. but the workings are so long

how can i solve this equation

Answers

Answer:

D. -1.44 and 2.44

Step-by-step explanation:

[tex]f(x) = 2 {ax}^{2} + (3 - b)x + 7[/tex]

is equal to:

[tex]g(x) = (a - 1) {x}^{2} + 2bx + 7[/tex]

•◇•◇○◇•◇•

➡️ [tex] - 2 {x}^{2} + 2x + 7 = 0[/tex]

➡️ [tex]Δ = {b}^{2} - 4ac = 4 - 4 \times 7 \times ( - 2) = 60 = \sqrt{Δ} = 7.746[/tex]

➡️ [tex]x = \frac{ - b± \sqrt{Δ} }{2a} = \frac{ - 2± 7.746}{ - Δ} [/tex]

➡️ [tex] x_{1} = \frac{ - 2 + 7.746}{ - 4} = - 1.44[/tex]

➡️ [tex] x_{2} = \frac{ - 2 - 7.746}{ - 4} = 2.44[/tex]

What is the volume of the rectangular prism?
3 in.
4 in.
54 in.
O A
A 12 in.
O
00
24 in 3
o
C
60 in
D. 73, in
in 3
.

Answers

Answer:

71.75 in^3

Step-by-step explanation:

If the values are

3 1/2in 5 1/4in 4in

then multiply all three of them

71.75 in^3

Hope I helped!

To mail a package, a customer must determine the volume of the package to get the postage price. If a
package were a cube with side 12 inches, which of the following expressions would a customer use to
determine the volume? (The volume of a cube with edges of length s is s^3.)
12x3
12x4
12^3
square root of 12

Answers

Answer:

12^3

Step-by-step explanation:

The volume of a cube is the length of it's size raised to the power 3, so if the length is 12, the volume will be 12³ or 12^3

Marco surveyed the first 10 people
who arrived at the pool. He asked
them what they thought was the
best time to close the pool.

Answers

Yes they must close the pool 7 pm

The best time to close the pool is the evening from 4 to 7 pm.

This is called the taking of average among all possible samples.

What is problem-solving?

Problem-solving is the act of defining a problem; figuring out the purpose of the trouble; identifying, prioritizing, and selecting alternatives for an answer; and imposing an answer.

Problem-solving starts with identifying the issue. As an example, a trainer may need to parent out a way to improve a scholar's overall performance on a writing talent test. To do that, the instructor will overview the writing exams looking for regions for improvement.

This can also be solved using mean, mode or median is data is given.

Learn more about mean here:-https://brainly.com/question/1136789

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if U = {1,2,3,10},A={2,4,6,8,10}and B={3,6,9}
,find AUB​

Answers

Answer:

AUB = {2,3,4,6,8,9,10,12}

There are two precalculus sections at a high school. Mr.​ Abel's class has 10 girls and 6 ​boys, while Mr.​ Bonitz's class has 10 girls and 12 boys. If a precalculus student chosen at random happens to be a​ girl, what is the probability she is from Mr.​ Abel's class?

Answers

Answer:gggggggggg

Step-by-step explanation:

gggggggggggggggggggggggggggggggggggggg

2
614
eft
3.
9m
Please help

Answers

2.

[tex] area=\frac{1}{2} \times 6 \times 8 \\ = 24 [/tex]

3.

[tex]area = \pi \times 9m \\ = 3.14 \times 9 \\ = 28.26 {m}^{2} [/tex]

Dad is getting food ready for my birthday party! Including me, there will be 16 people at the party. Dad is baking cookies for us! He can bake 20 cookies per batch.

How many batches should I tell Dad to make so we can each have 3 cookies?

Answers

the answer is 3 batches, turn it into a decimal if you need too.

Answer:

3 batches but you will have some left over

Step-by-step explanation:

please help me with this math is for my math homework​

Answers

Answer:

that answer is (1)

hope that helps you

9514 1404 393

Answer:

  1

Step-by-step explanation:

You can put either number in the form of the other to see they are equal. A number divided by itself gives a quotient of 1.

  -1 1/10 = -(10·1 +1)/10 = -11/10 . . . . . matches the denominator

or

  -11/10 = -1 1/10 . . . . . matches the numerator

__

  (-11/10)/(-11/10) = 1 . . . . your quotient

_____

Additional comment

Here, we see that both numbers in the problem are negative, so we have an even number of minus signs. That means the quotient will be positive. Knowing this lets us eliminate the minus signs from the problem.

As you may know, there are a couple of (fully equivalent) ways to divide fractions.

1) "invert and multiply" or "dot swap"

  (11/10) ÷ (11/10) = (11/10) · (10/11) . . . . . . . the denominator has been inverted

  = (11·10)/(10·11) = 110/110 = 1

2) use the numerators when the denominators are equal.

  (11/10) / (11/10) = 11/11 = 1 . . . . denominators of the fractions are both 10

NCERT Portion, grade 8, Lesson 1. Rational numbers

Answers

Answer:

[tex]-\frac{43}{70}[/tex]

Step-by-step explanation:

One is given the following equation,

[tex]\frac{2}{3}*\frac{-3}{7}-\frac{1}{14}-\frac{3}{7}*\frac{3}{5}[/tex]

Simplify, use the order of operations. The order of operations is a sequence by which one must simplify an equation. This sequence is the following,

1. Parehtensis

2. Exponents

3. Mutliplcaiton or Division

4. Addition or subtraction

Simplify the given expression. Remember, when multiplying fractions, one must cancel out like terms or factors that can be found in both the numerator and denominator,

[tex]\frac{2}{3}*\frac{-3}{7}-\frac{1}{14}-\frac{3}{7}*\frac{3}{5}[/tex]

[tex]\frac{-2}{7}-\frac{1}{14}-\frac{3}{7}*\frac{3}{5}[/tex]

[tex]\frac{-2}{7}-\frac{1}{14}-\frac{9}{35}[/tex]

Convert to the least common denominator. In this case, the least common denominator is (70). Remember to multiply both the numerator (number over the fraction bar) and denominator (number beneath the fraction bar) to convert the denominator.

[tex]\frac{-2}{7}-\frac{1}{14}-\frac{9}{35}[/tex]

[tex]\frac{-2}{7}*\frac{10}{10}-\frac{1}{14}*\frac{5}{5}-\frac{9}{35}*\frac{2}{2}[/tex]

Simplify,

[tex]\frac{-2}{7}*\frac{10}{10}-\frac{1}{14}*\frac{5}{5}-\frac{9}{35}*\frac{2}{2}[/tex]

[tex]\frac{-20}{70}-\frac{5}{70}-\frac{18}{70}[/tex]

[tex]-\frac{25}{70}-\frac{18}{70}[/tex]

[tex]-\frac{43}{70}[/tex]

Simplify the expression
by combining like terms.
3y2+2y-y2+y

Answers

Answer:

= 3y2-y2+2y+y

= 2y+3y

= 5y

Please help ill mark brainliest dont forget explanation too please

Answers

You can set point c as the y axis since there appears to be none in this image. Then after reflecting it across the y axis or point c you’re going to have to translate it 3 units to the right and 2 units down.

what is x when the tangent of 25 equals x over 11?

Answers

Answer:

x  =  5.12938423

Step-by-step explanation:

Solve for  x   by simplifying both sides of the equation, then isolating the variable.

(PLEASE SOLVE THIS I JUST NEED TO KNOW CHECK MY ANSWER PLEASE EXPLAIN AS WELL)

Answers

Answer:

105

Step-by-step explanation:

219+(-114)=219-114=105

the answer is 105. you ignore the ‘+’ and just solve it as 219-114. please mark brainliest!!

Fill in the blanks in the following sentence from the choices below describing the Real number system. 1 The _____ numbers, are fully contained in the _____ numbers, which are fully contained in the _____ numbers which are fully contained in the _____ numbers.

Choose from the words:
Integer, Irrational, Natural, Rational or Whole.

Answers

Answer:

1. Natural

2. Whole

3. Integer

4. Rational

The correct answer would be as: The Real number system. 1 The "Natural" numbers are fully contained in the "Whole" numbers, which are fully contained in the" Integer "numbers which are fully contained in the "Rational "numbers.

What are Natural Numbers?

Natural numbers are defined as which range from 1 to infinity, are the most fundamental sort of numbers. Commonly known as positive numbers or counting numbers, these numbers. Natural Numbers are represented by the symbol N.

For example 1, 2, 3, 4, 5, 6, and so on.

What are Integers?

Integers are defined as the collection of Whole Numbers and the negative values of Natural Numbers make up an integer. Fractional numbers are not included in integers. Integers are represented by the symbol Z.

The Real number system. 1 The "Natural" numbers are fully contained in the "Whole" numbers, which are fully contained in the" Integer "numbers which are fully contained in the "Rational "numbers.

Learn more about the Integers here :

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How many solutions does this equation have?

–3h = 1 − 3h

Answers

None.

-3h cannot equal -3h + 1.

No matter what you pick for h, the two sides will always be 1 unit apart.

The perimeters of the two rectangles at right are equal. Write and solve an equation to find the value of x and the common perimeter. (desperate need of help)

Answers

Answer:

write the expression for the perimeter of the 1st rectangle 6x

write the expression for the perimeter of the 2nd rectangle 4x + 30

write the equation 6x = 4x + 30

x= 15

perimeter = 90

Step-by-step explanation:

The perimeter is adding up all the sides of the rectangle.

So for the first one, we know two of the sides: x and 2x. The opposite sides have the same values. So the other two sides are x and 2x.

Therefore, the perimeter is

2x + x + 2x + x

or

6x

Similarly with the second rectangles:

(x+12) + (x+3) + (x+12) + (x+3)

Combine like terms

x + x + x + x + 12 + 3 + 12 + 3

4x + 30

Set these two equal to each other because the two perimeters are equal

6x = 4x + 30

Subtract 4x on both sides

2x = 30

Divide by 2 on both sides

x = 15

Check:

6(15) = 4(15) + 30

90 = 60 + 30

90 = 90

The common perimeter is

6*15 = 90 units

Find the distance between (-3,-11) and (8,-42)

Answers

Answer:

√2930

Step-by-step explanation:

The distance formula is

√((difference between x values)² + (difference between y values)²)

= √((-3 - 8)² + (-11 - (-42))²)

= √((-11)² + (31)²)

= √1082

2/5 (z+ 1) = y for z

Answers

Answer:

z = 5y/2 - 1

Step-by-step explanation:

Solve for  z

by simplifying both sides of the equation, then isolating the variable.

area of square field is 617796cmsquare. find length of its each side.

Answers

Answer:

Answer is 786 cm

Step-by-step explanation:

√617796 =786

Due today:
At a local car dealer, the ideal selling price of a car is $22,000. The dealer allows this price to vary $1200 .


Create an absolute value inequality that models the range of the price the dealer can sell the car. (Hint: Test your inequality to make sure the price is $1200 below and above the selling price works.)

Answers

We know that:

The ideal selling price is P = $22,000

The price can vary dP = $1,200

let's define p as the variable that represents the possible prices of the car.

We will find that the absolute value equation that represents this is:

|p - $22,000| ≤ $1,200

Now let's see how we get that, using the initial information we can get:

The minimum price can be:

mP = P - dP = $22,000 - $1,200 = $20,800

The maximum price can be:

MP = P + dP = $22,000 + $1,200 = $23,200

Then the range of allowed prices is:

mP ≤ p ≤ MP

$20,800 ≤ p ≤ $23,200

To write this as an absolute value equation, we use the general formula:

Ix - average| ≤ amount that it can vary

Replacing it with our values we get:

|p - P| ≤ dP

|p - $22,000| ≤ $1,200

Concluding, the absolute value equation that we wanted to find is:

|p - $22,000| ≤ $1,200

If you want to learn more, you can read:

https://brainly.com/question/1301718

Choose the expression that represents the fraction one-sixteenth.

A. 1 ÷ 6
B. 1 ÷ 16
C. 16 ÷ 1
D. 6 ÷ 1

Answers

Answer:B. 1 divided by 16

Step-by-step explanation:

i dont know it might be b Or c

just my guess

Can anyone solve numbers 60 through 65?

Answers

Answer:

[tex]4a + 9a \\ \\ = (4 + 9).a \\ \\ = 13a \\ \\ 9y + 3y - 5x \\ \\ (9y + 3y) - 5x \\ \\ (9 + 3).y - 5x \\ \\ 12y - 5x[/tex]

what does X equal? giving 50 points

Answers

X= 6/11

Square both sides

93,487,991 to the nearest hundred thousand

Answers

Answer:

93,500,000

Step-by-step explanation:

Rounding rule:

1) If the digit directly next to the one you are finding is 5 or greater, round up.

2) If the digit is 4 or less, round down.

Note the hundred thousands place value (underlined and bolded):

93,487,991

Look at the digit value directly next to the place value you are looking for. The value of the digit is 8. Because 8 is greater then 5, round up:

93,487,991 rounded to the nearest hundred thousand is 93,500,000.

~

Read the image below ​

Answers

Natural numbers: 1, 2, 3, 4, ….
Whole numbers: 0, 1, 2, 3, 4, …. (All Naturals, plus 0)
Integers: 0, 1, -1, 2, -2, 3, -3, …. (All Whole numbers, plus their opposites)
Rational numbers: anything that’s a fraction or integers, as long as the denominator isn’t 0. (All integers, plus all other fractions)

J captures this correctly. Rational numbers include all the other groups, Integers include whole and natural numbers, and whole numbers include natural numbers.

solve for x -7=2x+3 simplify the equation as much as possible

Answers

hi <3

2x + 3 = -7

subtract 3 from both sides:

2x = -10

divide both sides by 2:

x = -5

hope this helps :)

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