What is the value of k?
K=?

What Is The Value Of K?K=?

Answers

Answer 1

9514 1404 393

Answer:

  k = 2

Step-by-step explanation:

The geometric mean theorem for the altitude tells you ...

  ON = √(OL·OM)

  ON² = OL·OM . . . . . square both sides

  4² = 8·k . . . . . . . . substitute values

  k = 16/8 = 2 . . . . divide by the coefficient of k

_____

Additional comment

The geometric mean theorem for the legs tells you ...

  MN = √(MO·ML)   ⇒   l = 2√5

  LN = √(LO·LM)   ⇒   m = 4√5

These relations come from the fact that corresponding sides of the right triangles are proportional. (All of the triangles are similar.)


Related Questions

Given that ƒ(x) = 3^x, identify the function g(x) shown in the figure. A) g(x) = −3^-x
B) g(x) = −(1∕3)^x
C) g(x) = 3^−x
D) g(x) = −3^x

Answers

Answer:

Option (D)

Step-by-step explanation:

From the graph attached,

Function 'f' is the reflected across x-axis to get the graph function 'g'.

Therefore, by definition of reflection across x-axis,

g(x) = -f(x)

g(x) = [tex]-3^x[/tex]

Option (D) will be the answer.

A zookeeper published the following stem-and-leaf plot showing the number of lizards at each major zoo in the country:

0
1
2
3
4
5
6


0
6
8
8
8
0
2
6
6
7
8
1
2
6
6



















00
10
20
30
40
50
60




















0
0
0
0
1
0
0


6
2
2


8
6
6


8
6
6


8
7
0


0
8


0


Key:
2



0
=
20
2∣0=202, vertical bar, 0, equals, 20 lizards
How many zoos have more than 26 lizards

Answers

do you have a picture or something ? this isn’t helping me.

Suppose that the probability that a person will develop hypertension over a life time is 60%. Of 13 graduating students from the same college are selected at random. find the mean number of the students who develop hypertension over a life time

Answers

Answer:

The mean number of the students who develop hypertension over a life time is 7.8.

Step-by-step explanation:

For each person, there are only two possible outcomes, either they will develop hypertension, or they will not. The probability of a person developing hypertension is independent of any other person, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

Suppose that the probability that a person will develop hypertension over a life time is 60%.

This means that [tex]p = 0.6[/tex]

13 graduating students from the same college are selected at random.

This means that [tex]n = 13[/tex]

Find the mean number of the students who develop hypertension over a life time

[tex]E(X) = np = 13*0.6 = 7.8[/tex]

The mean number of the students who develop hypertension over a life time is 7.8.

The amount of soda a dispensing machine pours into a 12 ounce can of soda follows a normal distribution with a standard deviation of 0.08 ounce. Every car that has more than 12.20 ounces of soda poured into it causes a spill and the can needs to go through a special cleaning process before it can be sold. What is the mean amount of soda the machine should dispense if the company wants to limit the percentage that need to be cleaned because of spillage to 3%

Answers

Answer:

x = 12.15 oz

Step-by-step explanation:

z = 1.8808

 1.8808 = (x - 12)/.08

2/8
QUESTION 8.1 POINT
If $20,000 is invested at 8.3% compounded continuously, how long, to the nearest tenth of a year will it take before the
investment doubles?

Answers

9514 1404 393

Answer:

  8.4 years

Step-by-step explanation:

The value of P compounded continuously at rate r for t years is ...

  A = Pe^(rt)

Solving for t, we find ...

  t = ln(A/P)/r = ln(2)/0.083 ≈ 8.35117

It will take about 8.4 years for the investment to double.

Ilang litro ng tubig ang kailangang isalin sa timba na naglalaman ng 10 000 mililitro

Answers

Answer

nghiệmTrảingu       từng bước:

A physical education class is running a mile. The teacher has set a goal of 12 minutes to complete the mile. Students
receive a score to show how close they are to the target of 12 minutes. For example, if students run the mile in 8
minutes, their scores will be 4. Complete the statements about the students' scores.
Anja ran the mile in Her score is -2.
Issac ran the mile in 13 minutes. His score is
Simon ran the mile in 12 minutes. His score is

Answers

Answer:

Isaac is 26

Simon is 24

if 8 is 4 I.e 8 divide by 4 is 2

therefore 1 minute is 2 scores

Isaac :13 x 2=26

(do the same to Simon to get his score)

Make a substitution to express the integrand as a rational function and then evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.)
2 sec^2(t)/tan^2(t) + 14 tan(t) + 48 dt

Answers

Complete the square in the denominator to get

tan²(t ) + 14 tan(t ) + 48 = tan²(t ) + 14 tan(t ) + 49 - 1

… = (tan(t ) + 7)² - 1

Substitute u = tan(t ) + 7 and du = sec²(t ) dt. Then the integral becomes

[tex]\displaystyle \int \frac{2\sec^2(t)}{\tan^2(t)+14\tan(t)+48} \,\mathrm dt = 2 \int \frac{\mathrm du}{u^2-1}[/tex]

Separate the integrand into partial fractions:

[tex]\dfrac1{u^2-1} = \dfrac12 \left(\dfrac1{u-1}-\dfrac1{u+1}\right)[/tex]

Then we get

[tex]\displaystyle \int \frac{2\sec^2(t)}{\tan^2(t)+14\tan(t)+48} \,\mathrm dt =  \int \left(\frac1{u-1}-\frac1{u+1}\right)\,\mathrm du \\\\ =\ln|u-1|-\ln|u+1| + C \\\\ = \ln\left|\frac{u-1}{u+1}\right|+C \\\\ = \boxed{\ln\left|\frac{\tan(t)+6}{\tan(t)+8}\right|+C}[/tex]

i would like some help please i am stuck ​

Answers

Answer: -2(d) is the answer.

Step-by-step explanation:

x1 = 3

y1 = -5

x2 = -2

y2 = 5

slope (m) = rise/run = (y2 - y1)/(x2-x1)

                                =(5-(-5))/(-2-3)

                                 =   10/-5

                                 = -2

A 5 ounce bottle of juice cost $1.35 and an 8 ounce bottle of juice cost $2.16 a what is the unit cost per ounce of juice and b what is the better buy

Answers

Answers:

First bottle's unit cost = 27 cents per oz

Second bottle's unit cost = 27 cents per oz

Both have the same unit cost.

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

Work Shown:

unit cost = price/(number of ounces)

1st bottle unit cost = (1.35)/(5) = 0.27 dollars per oz = 27 cents per oz

2nd bottle unit cost = (2.16)/(8) = 0.27 dollars per oz = 27 cents per oz

Both lead to the same unit cost. Therefore, you can pick either option and it doesn't matter.

Write each decimal as a fraction or mixed number in simplest form.
1 3/8

Answers

3/2

Step One: 1 3/8, transform the number into a improper fraction:

To have a mixed number in to a improper fraction, you need to use            addition and multiplication.  For 1 3/8, We first multiply the denominator (8, also know to be the bottom number of the fraction) to the whole number (1).  8x1= 8NOTE: The original denominator (8) will be use for are improper, again playing as the denominator, we only multiply the denominator for the numerator (which is the top number of a fraction).After multiplying, we'll add are product with the numerator (3) for the process. 8+3= 12 Now we have both numerator and denominator for 1 3/8, we can create the improper fraction. 12 as the numerator and 8 as the denominator. 12/8We still need to simplify the number. To that, we need the biggest whole number, or rather I call it the lowest number, that can be divide both in 12 and 8. 4 can be divide by both number so: 12/4= 3 and 8/4=2Now 3 is are simplify numerator and 2 is are simplify denominator.

The surface area of a cylinder?

Answers

Answer:

18. 84 ft² or 18.85 ft² when rounded to the nearest tenth

Step-by-step explanation:

2πrh+2πr²

2× 3.14 × 1 × 2= 12.56

2 × 3.14 × 1² = 6.28

12.56 + 6.28 = 18.84

Have a great day :)

Answer:

18.85 [tex]ft^2\\[/tex]

*You should run the numbers yourself as well. Sometimes different calculators will get marginally different numbers or use a different rounding for [tex]\pi[/tex] that gives a slightly different answer*

Step-by-step explanation:

Surface area of a cylinder: [tex]2\pi rh+2\pi r^2[/tex]

Where h is the height and r is the radius. Remember that the radius is half the diameter, and the diameter is a straight line that passes through a circle.

I could be wrong, but I think you had the correct equation but used the diameter in stead of the radius to get 50.36.

Radius: 1   Height: 2

Plug numbers into equation:

[tex]A=2\pi (1)(2)+2\pi (1)^2= 18.8495. . .[/tex]

I hope that helps!

D. Rom has just given an insurance company $35,000. In return, he will receive an annuity of $3,700 for 20 years. At what
rate of return must the insurance company invest this $35,000 in order to make the annual payments?

Answers

Answer:

0.53%

Step-by-step explanation:

hope it is well understood

Express the decimal 0.7 as a percentage.

Answers

Answer:

70% IS THE ANSWER

Step-by-step explanation:

Hope I helped.

Answer:

70%

Step-by-step explanation

0.7×100=70

does x represents Mount Everest height ?​

Answers

Answer:

Bro what do you mean to represent Mount Everest height by x but if you want to sove a maths sum than you can take any alphabet

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

About 10​% of 8900 commuters carpool to work. Find the number of commuters who carpool.

How many commuters​ carpool?

Answers

Answer: 890 commuters carpool

Step-by-step explanation:

10% of 8900 = 890

8900/10= 890

Note: 10% to decimal form is 10

Answer:

10% of 8900

10/100×8900

=890

hope this is helpful

If (x^2−1)/(x+1) = 3x + 5, then x + 3 =
(A) -3
(B) -2
(C) 0
(D) 2
(E) 4

Answers

C) 0
Explanation yep

Which numbers are 9 units from −5 on this number line?

Drag and drop all of the numbers that are 9 units from −5 to their correct position on the number line.

-14,-5 -4 4 5 9

Answers

Answer:

-14 and 4

Step-by-step explanation:

To find the values subtract 9 from -5, as well as add 9 to -5

-5-9= -14

-5+9= 4

The temperature in Kansas City varies greatly some days. One day in January, the temperature was 16 degrees but then the temperature decreased by 23 degrees by midnight. What was the temperature at midnight?

Answers

Answer:

-7 degrees

Step-by-step explanation:

the temperature was 16 degrees then was the decrease by 23 degrees so subtract 23 from 16 and the answer is -7

Of all the people applying for a certain job 75% are qualified and 25% are not. The personnel manager claims that she approves qualified people 80% of the time, she approves unqualified people 30% of the time. Find the probability that a person is qualified if he or she was approved by the manager The probability is:_______.
Type an integer or decimal rounded to four decimal places as needed)

Answers

Answer:

The probability is: 0.8889.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Approved

Event B: Qualified

Probability of a person being approved:

80% of 75%(qualified)

30% of 25%(not qualified). So

[tex]P(A) = 0.8*0.75 + 0.3*0.25 = 0.675[/tex]

Probability of a person being approved and being qualified:

80% of 75%, so:

[tex]P(A \cap B) = 0.8*0.75[/tex]

Find the probability that a person is qualified if he or she was approved by the manager.

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.8*0.75}{0.675} = 0.8889[/tex]

The probability is: 0.8889.

Find the greatest common factor of the
following monomials:
39c^2
9c^3'

Answers

Answer:

3c^2

Step-by-step explanation:

PLEASEEEE HELP
In the diagram, AABC-ADEC What is the value of x?

Answers

Similar triangles are proportional, meaning one will be a factor larger or smaller than the other. This factor will be the same for all of the sides. So, we can say that one corresponding pair of sides is equal to another corresponding pair of sides.

BA / ED = AC / CD

42 / 6 = (64 - x) / (x)

6(64 - x) = 42(x)

384 - 6x = 42x

384 = 48x

x = 8

Hope this helps!

The length of a rectangle is five times the width if the area of the rectangle is 180 in.² then find the length and the width

Answers

Let breadth be x

Length=5x

ATQ

[tex]\\ \sf \longmapsto Area=Length\times breadth[/tex]

[tex]\\ \sf \longmapsto 5x(x)=180[/tex]

[tex]\\ \sf \longmapsto 5x^2=180[/tex]

[tex]\\ \sf \longmapsto x^2=\dfrac{180}{5}[/tex]

[tex]\\ \sf \longmapsto x^2=36[/tex]

[tex]\\ \sf \longmapsto x=\sqrt{36}[/tex]

[tex]\\ \sf \longmapsto x=6in[/tex]

Width=6inLength=6×5=30in

what is the square root of 24

Answers

Answer:

the square root of 24 is 4.89897948557

Answer:

4.89

Step-by-step explanation:

2root 6........***

what is the answer of
445+584-85

Answers

Answer:

944 is the correct answer

Answer:

the answer it's 944

445+558=1,029

1,029-85=. [944]✓

Find the area of the parallelogram. Show all your work.

Answers

Answer:

30m^2

Step-by-step explanation:

area of parallelogram is b×h

Answer:

The area of the parallelogram is 30 square meters.

Step-by-step explanation:

The area of a parallelogram is given by the formula:

A = bh

Where b is base and h is height

The base of the parallelogram is:

6 + 4 = 10 m

The height perpendicular to the base is 3 m

Use the formula A = bh:

A = (10)(3)

= 30

So the area of the paralleogram is 30 m^2

Hope this helps!

If x+y=8 and xy =15 find the value of x³+y³.​

Answers

Answer:

152

Step-by-step explanation:

let x= 5 and y= 3x + y = 85 + 3 = 8xy = 155 × 3 = 15x³ + y³ = ?5³ + 3³ = ?125 + 27 = 152

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

I need help ASAP anyone?

Answers

Answer: Choice A

Explanation:

Each vertical asymptote is due to a division by zero error.

For instance, the vertical asymptote x = 3 is from the factor (x-3) in the denominator. If we plugged x = 3 into (x-3), then it turns into 0 and we cannot have 0 in the denominator.

Similarly, the factor (x+3) leads to x = -3

So overall, we have (x-3)(x+3) in the denominator.

356 miles in 5 days
is a:
Unit Rate
Unit Price
Ratio
Rate

Answers

9514 1404 393

Answer:

  Rate

Step-by-step explanation:

Since there are no currency units involved, it is not a price or unit price.

Since the denominator (days) is not 1, it is not a unit rate.

The usual wording for a ratio is "to" rather than "in", so we probably would not say this is a ratio. Though, the usual reason for expressing the numbers this way is to indicate we might be interested in their ratio.

There is time involved, so it is reasonable to call this a "rate," which is usually the ratio of some quantity to the time associated with that quantity.

7,25 x (y+5,6)=58 vậy y =

Answers

Answer:

y=2,4

Step-by-step explanation:

7,25x( y+5,6)=58

7,25y+ 40,6=58

7,25y=58-40,6

y=17,4:7,25

y=2,4

x

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