Identify the geometric mean of 8 and 20 in simplest radical form.

Answers

Answer 1

Answer:

8/x = x/20

x^2=160

x=sqrt(160)

x=sqrt(16*10)

x=sqrt(16)*sqrt(10)

x=4*sqrt(10)

Step-by-step explanation:

Answer 2

The geometric mean of 8 and 20 in the simplest radical form is 2√10.

What is geometric mean?

The Geometric Mean is a unique kind of average in which the numbers are multiplied together and then their square, cube, or other root is taken (for two numbers, three numbers, etc.).

To calculate the geometric mean of two numbers:

You would multiply the numbers together and take the square root of the result.

First, multiply 8 and 20.

That equals 160.

Then you take the square root of 160;

√160

= 12.65,

which doesn't result in a whole number.

So you factor 160 and removing perfect squares.

√160

= √ (4 x 10)

= 2√(10)

Therefore, the geometric mean is 2√10.

To learn more about the geometric mean;

https://brainly.com/question/29199001

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Related Questions

please. im begging can you help me on this ?

Answers

Answer:

I think its B (x-5=13)

Step-by-step explanation:

if its x-5=13

Pedro bought 13 and 5

so 13+5 = 18 (x)

so rearrange the equation to be x-5=13

so imagine x=18 and it would work:

18-5=13

Answer: B. x - 5 = 13

Step-by-step explanation:

     Since Pedro bought the picture frames for his mother, we will see what she does with them. 5 go to her sister and 13 are kept for herself. Let x be the number of picture frames Pedro buys.

        5 + 13 = x

      This is not one of the answer choice, but x - 5 = 13 is. If we subtract 5 from both sides of the equation we created above, this proves to be our answer.

         B. x - 5 = 13

Spring 22
What is the total weight of 12 basketballs that weigh 20 ounces each?
The total weight of the basketball is ?

Answers

Answer:

240

Step-by-step explanation:

The answer is 240. You have to multiply 20 times 12 since each basketball has an equivalent weight to the others. Hope this helps! :)

Answer:

1 ounce =28grams

Step-by-step explanation:

if 1 ounce=28grams

20ounce=20ounces x 28 grams

=560g

one ball weighs 560grams

If an arithmetic sequence has a4 = 107 and a8 = 191, what is a₁?
PLEASE HELP ME​

Answers

[tex]\text{nth term of an arithmetic sequence,}\\\\a_n = a_1 + (n-1)d\\\\a_4 = a_1 +3d=107~~~......(i)\\ \\a_8=a_1+7d = 191~~~......(ii)\\\\\\\text{(ii) -(i):}\\\\~~~~~~a_1+7d-a_1-3d = 191 -107\\\\\implies 4d = 84\\\\\implies d = \dfrac{84}4\\\\\implies d= 21\\\\\text{Substitute d= 21 in eq~(i):}\\ \\~~~~~ a_1 +3(21) = 107\\\\\implies a_1 + 63 = 107\\\\\implies a_1 = 107-63\\\\\implies a_1 =44[/tex]

What is the value of the discriminant for the equation 0=2x^2+x-3?

Discriminant = b^2-4ac

A.-25

B.-23

C.25

D.26

Answers

Answer: 25

Step-by-step explanation: The quadratic equation may be expressed in a form, ax² + bx + c =0. From the given equation, a = 2, b = 1, and c = -3. Substituting these value to the equation of the discriminant (D).

                                       D = b² - 4ac

                                   D = 1² - (4)(2)(-3) = 25

Thus, the discriminant of the equation of 25.

Y=-3×-2 graph can someone please help me with this please

Answers

Answer:

6

Step-by-step explanation:

Negative ×negative always gives gives a positive

Find the area of the perimeter and the area of the following figure.

Answers

Area = (11x2)+(5x9) =67
Perimeter = (2+11+7+5+9+16)=50
perimeter = 50cm
area= 67cm squared

Solve the system using elimination.
4X +5Y = 22
X +3Y =0

Answers

Answer:  

x = 3

y = -2

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

4x + 5y = 2........i

2x + 3y = 0........ii

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

Let's start by eliminating x, so we multiply i by 2 and ii by 4

2|4x + 5y = 2

4|2x + 3y = 0

So that we have

8x + 10y = 4..........iii

8x + 12y = 0..........iv

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

Subtracting iv from III, we have

-2y = 4

y = 4/-2

y = -2

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

Going ahead and substituting this value of y in eqn i, we have

4x + 5(-2) = 2

4x - 10 = 2

4x = 2 + 10

4x = 12

x = 12/4

x = 3

Step-by-step explanation: hope this helps, brainliest please <3

find the volume of number ten pls i know the answer is 449.57 the figure is to the left

Answers

Answer:

see below  ( I do not think 449.57 m^2 is correct for surface area)

    Surface area = 374.65 m^2     Volume = 448.83 = ~~ 449 m^3  

Step-by-step explanation:

Find the SURFACE AREA    (NOT the volume)

Height of cone =  sqrt ( 13^2 - 4.5^2) = 12.1963 m

  surface area equation for cone = pi * r  * (r+ sqrt (h^2+r^2) ) = 247.4 m^2

Sphere surface area =  4 pi r^2   =  254.5 m^2

   HEMIsphere is 1/2 of this = 127.235 m^2

Add the two surface areas = 374.65  m^2

For VOLUME:    cone   1/3 pi r^2 h = 257.979 m^3

                         HEMIsphere = 1/2  4/3 pi r^3  = 190.851 m^3

                Total VOLUME is then 448.83 m^3

A can in the shape of a cylinder is filled 75% of the way with liquid. The can has a height of 10 cm and a radius of 2 cm. Please determine following:

Answers

Answer:

um..is this finished question ????

Anybody know the slope of the line is … Help

Answers

Answer: The slope is -1

Step-by-step explanation:  

When you are given a line on a graph all you need to do is pick two points on the line and calculate the change over both the x and y-axis.

Pick both points to be at a position on the line that is easy to read. IE the intersection between two grid lines.  For this problem lets go with the first point at (0,1) and the second point at (1,0).

Now we want to calculate the change in rise (the y-component) and divide by the change in the run (the x-component).  Point 1 has a y-component of 1 and point 2 has a y-component of 0.

1 - 0 = 1 = rise

Point 1 has an x-component of 0 and point 2 has an x-component of 1.

0 - 1 = -1 = run

rise/run = 1/-1

Slope = -1

solve these quetions......

Answers

Step-by-step explanation:

a.) 9

When you divide with a fraction you do the reciprocal of the fraction (basically flipping numerator and denominator) then multiplying (since the opposite of division is multiplication.

So if you flip

[tex]\frac{1}{9} [/tex]

It would be:

[tex] \frac{9}{1} [/tex]

9/1 is the same as 9 so:

1 times 9 = 9

b.) 15

Same thing like we did above, just do the reciprocal the multiply.

[tex] \frac{1}{5} [/tex]

Becomes

[tex] \frac{5}{1} [/tex]

5/1 is the same as 5.

3 times 5 = 15

n -1 1/2 for n= 1 1/7 cant figure this out

Answers

Answer:-5/14

Step-by-step explanation:

make then equal and insert N, 16/14-21/14=-5/14

3.2] I can rearrange formulas to solve for a specified variable.

Solve for r.
h=r-m

Answers

Answer:

r = h + m

Step-by-step explanation:

h = r - m

Switch sides.

r - m = h

Add m to both sides.

r - m + m = h + m

Simplify the left side. -m + m = 0

r = h + m

(23/7+61/3)_34/3
what the answer​

Answers

23/7+61/3 is done first due to PEMDAS
so the lcm of 7 and 3 is 21
So 23*3 + 61*7 divide the whole by 21 which is 7*3
The answer will come out to 496/21
Then outside the bracket the whole is times 34/3
So 34/3*496/21=
16864/64
We can’t simplify it more so that’s the answer

HELE ME PLEASE!

Find the exact volume of the cylinder.
A)
4577 cm3
B)
90 cm3
C)
2257 cm3
D)
9001 cm3

Answers

Answer:

none of them are right not sure what's up with that.

Step-by-step explanation:

cylinder is base*height

base is pi*r^2, or 25pi

height is 9, so the volume is 225pi is about 707, so none of the answers are correct

5 - x divided by 3/4 x = 1/3

Answers

Answer:

x = 4

Step-by-step explanation:

(5-x) / (3/4x) = 1/3

multiply  both sides by 3/4 x

5-x  = 3/12 x    add 'x' to both sides of the equation

5 = 15/12 x       multiply both sides by 12/15

4 = x

-10x19=2x2 please do explanation

Answers

Answer:

x=0 or x=−95

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−190x=2x²

Step 2: Subtract 2x² from both sides.

−190x−2x²=2x²−2x²

−2x²−190x=0

Step 3: Factor left side of equation.

(−2x)(x+95)=0

Step 4: Set factors equal to 0.

−2x=0 or x+95=0

x=0 or x=−95

[tex]~~~~2x^2 =-10 \times 19\\\\\implies 2x^2 = -190\\\\\implies x^2 = -\dfrac{190}2\\\\\implies x^2 = -95\\\\\implies x = \pm\sqrt{-95}\\\\\implies x = \pm \sqrt{-1}\sqrt{95}\\\\\implies x = \pm i\sqrt{95}[/tex]

From a hot-air balloon, Enola measures a 22 degrees angle of depression to a landmark that’s 310 feet away, measuring horizontally. What’s the balloon’s vertical distance above the ground? Round your answer to the nearest hundredth of a foot if necessary.

Answers

Answer:

  125.25 ft

Step-by-step explanation:

The geometry of the problem can be modeled by a right trianlge in which the side adjacent to the angle is 310 ft, and the side opposite the angle is the one we want to find. The relevant trig relation is ...

  Tan = Opposite/Adjacent

__

Solving for the Opposite side (the height of the balloon), we find ...

  Opposite = Adjacent · Tan

  height = (310 ft)·tan(22°) ≈ 125.25 ft

Enola's balloon is about 125.25 ft above the ground.

_____

Additional comment

If we assume Enola's angle measurement can have a possible error of ±0.5°, then the corresponding error in the balloon height is more than ±3 ft. It is a bit of nonsense to report the height to the nearest 0.12 inches, (0.01 ft).

p^2 + 3p - 18 is divided by p - 3.

Answers

Answer:

p + 6

Step-by-step explanation attached as image.

OLZ HELP ILL MARK AS BRAINLEST​

Answers

Answer:

-2

Step-by-step explanation:

The slope is rise over run. If we look at the points we can see the rise is -2 and the run is 1. -2/1 = -2, so my answer is correct.

Answer:

Hi I’m the friend

Step-by-step explanation:

by the way I also need brainliest, so you get to choose who to mark as brainliest

Matt bought 6 pie molds at a cost of $1.22 per mold. He also bought 6 pre-
made crusts at a cost of $0.97 per crust. How much did Matt spend on pie
molds?

Answers

Answer:

$13.14

Step-by-step explanation:

The answer is going to be 13.14 because you have to multiply six molds to the cost of molds and then multiply six crusts to the cost of crust, and then add the two totals together

Suppose you want to accumulate $120,000 for your retirement in 30 years.
Consider these two plans:

Plan A: make a single deposit into an account with an annual compounding and an APR of 5%.
Plan B: Make a single deposit into an account with continuous compounding and an APR of 4.8% 

1.) how much do you need to deposit in each amount in order to reach the goal?
2.) calculate the current APR the compounding period, and the claimed APY for your personal savings account. (Or pick a rate from a nearby bank)
3.) calculate the APY on your account (or someone u know)
4.) Does your calculation agree with the APY claimed by the bank?

Answers

The amount that would be needed to be deposited in order to reach the goal is:

Plan A: $27,765.29.Plan B: $28,431.33

Calculations and Parameters:

Since Plan A compounds annually at an apr of 5%.

and plan B compounds continuously at an apr of 4.8%

PART A

Using the formula for annual compounding

[tex]f = p * (1+r)^n[/tex]

Where

f is the future value which is equal to 120,000p is the present value.r is the interest rate per time period.n is the number of time periods.

Because the compounding is done annually, then the APR/100= 0.05

Also, because the time periods are annual, hence, the time periods would be equal to the number of years = 30.

Putting the values together:

120,000 = p * (1.05)^30.

divide both sides of this formula [tex](1.05)^3^0[/tex] to get:

[tex]120,000 / (1.05)^3^0[/tex] = p which makes p equal to $27,765.29.

PART B

To solve for the PART B answer

the formula for continuous compounding is:

[tex]f = p * e^(r*n)[/tex]

Where

r is the interest rate per time period which is in years.n is the number of time periods which is in years.

The formula becomes:

[tex]120,000 = p * e^(.048 * 30).[/tex]

divide both sides of this equation by [tex]3^(.048 * 30)[/tex] to get:

[tex]120,000 / (e^(.048*30))[/tex] = p which makes p equal to $28,431.33.

#SPJ1

Read more about compound interest here:

https://brainly.com/question/24274034

4) What is the measure of angle MLO?
(Equilateral Triangle)

Answers

Answer:

m<MLO = 120°

Step-by-step explanation:

Equilateral Triangles have all 60° angles.

m<MLN = m<OLN = 60°

60°+60°=120°

Sanjay is planting a rectangular garden. He wants the length of his garden to be 12 feet. He wants the area to be at least 60 square feet. Which graph best shows all the possible widths, in feet, for his garden?

Answers

Answer:

The  answer is b

Step-by-step explanation:

Answer: B

I had to help my brother with this

Need Answer Please And thank you

Answers

Answer:

157.78

Step-by-step explanation:

Area of a trapezoid = ( sum of base lengths / 2 ) × height

the base lengths of the trapezoid shown are 8.7m and 16.3 + 7.2 = 23.5m

the height is 9.8m

so area = (( 8.7 + 23.5 ) / 2) × 9.8

==> add 8.7 and 23.5

area = (32.2 / 2) × 9.8

==> divide 32.2 by 2

area = 16.1 × 9.8

==> multiply 16.1 and 9.8

area = 157.78

What type of function is shown below?
y=6/19x

Answers

Answer:

That is a linear function

Step-by-step explanation:

A linear function is a function which forms a straight line in a graph. It is generally a polynomial function whose degree is utmost 1 or 0.

If you try to graph that function on a graphing calculator, you will get a straight line.

Therefore, it is a linear function.

mark brainliest please!

Answer:

I think it's a linear one(function)

y=6x÷19

friends needs this anwsered help

Answers

Answer:

  3, 8, 14, 30, 58

Step-by-step explanation:

As with all formulas, put the numbers in place of the corresponding variables, and do the arithmetic.

  [tex]a_1=3\qquad\text{given}\\\\a_2=8\qquad\text{given}\\\\a_3=2a_1+a_2=2(3)+8=14\\\\a_4=2a_2+a_3=2(8)+14=30\\\\a_5=2a_3+a_4=2(14)+30=58[/tex]

The first 5 terms of the sequence are 3, 8, 14, 30, 58.

Which is zero of the polynomial expression 7x+21

Answers

The expression will have a zero when it’s equation is equal to zero:

7x+21=0

Now solve for x, start by isolating the variable (x) by subtracting 21 from both sides

7x = -21

The only thing stopping c from being by itself is 7, so we divide both sides by 7 to isolate x

x = -3

Determine the unknown side of the similar
triangle.
3 in
4 in
Q
12 in

Answers

Answer:

Q=9

Step-by-step explanation:

if we get the bottom lengths of both triangles and divide them by eachother we can find the scale factor. so 12/4=3 meaning the scale factor is 3 meaning the bigger triangle is 3 times bigger so if we have the smaller version of the length of Q we just have to multiply 3 by 3 to get the enlarged version so Q=9inch

(its a lot of words but i wanted to make sure you understand)

Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.

h2 + 26h +

Answers

Using the standard format of a perfect-square quadratic sum, it is found that the value that completes the expression is 169.

What is the standard format of a perfect-square binomial sum?

It is represented by:

(a + b)² = a² + 2ab + b².

In this problem, we have that the expression is:

a² + 2ab + b² = h² + 26 + b².

Hence a = 1, 2ab = 26 -> b = 13, thus the value that completes the expression is:

b² = 13² = 169.

More can be learned about perfect-squares at https://brainly.com/question/13136492

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