If y varies inversely with the square of x, and y = 26 when x = 4, find y when x = 2.

A. 13
B. 52
C. 208
D. 104

Answers

Answer 1

Answer:

D. 104

Step-by-step explanation:

[tex]y \: \alpha \: \frac{1}{ {x}^{2} } \\ \\ y = \frac{k}{ {x}^{2} } [/tex]

when y is 26, x is 4:

[tex]26 = \frac{k}{ {(4)}^{2} } \\ k = 416[/tex]

when x is 2:

[tex]y = \frac{416}{ {x}^{2} } \\ \\ y = \frac{416}{ {(2)}^{2} } \\ y = 104[/tex]

Answer 2

Answer:

D; 104

This is the correct answer


Related Questions

Which inequality is true?
O A. 1 2 > 2
OB. 8 - T > 5
O C. 1071 > 30
O D. 1+4<7

Answers

Answer:

true

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

A

[tex]\frac{12}{2\pi }[/tex]  ≈ 1.91 < 2

B

8 - π 8 - 3.14 = 4.86 < 5

C

10π ≈ 31.42 > 30 ← True

D

π + 4 = 3.14 + 4 = 7.14 > 7

Option C is a true inequality

Given the sequence 4, 8, 16, 32, 64, ..., find the explicit formula.

Answers

128Answer:

128

Step-by-step explanation:

vì 4+4=8

8+8=16

16+16=32

32+32=64

64+64=128

find the measure of the angle indicated

Answers

Answer:

Step-by-step explanation:

59°

Determine the dimension of the vector space. M4,2
STEP 1: Determine the number of linearly independent vectors needed to span M4,2. The basis for M4,2 has linearly independent vectors.
STEP 2: Using the result from Step 1, determine the dimension of M4,2.

Answers

Answer:  

STEP 1  

M_{4,2} is set of 4x2 matrices hence each matrix has 4*2=8 entries. Each entry can be filled independently.  

Hence its basis has 8 linearly independent vectors.  

STEP 2  

Dimension= cardinality of basis = 8.

Eleanor scores 680 on the mathematics part of the SAT. The distribution of SAT math scores in recent years has been Normal with mean 527 and standard deviation 118.
Gerald takes the ACT Assessment mathematics test and scores 27. ACT math scores are Normally distributed with mean 20 and standard deviation 3.
1. What is Elanor's standardized score?
Round to 2 decimal places.
3. What is Gerald's standardized score?
Round to 2 decimal places.
4. Assuming that both tests measure the same kind of ability, who has the higher score?
i. Gerald.
ii. Elanor.
iii. They both did equally well.

Answers

Answer:

1. Elanor's standardized score is  1.19

2. Gerald's standardized score is 0.72

3. Elanor has higher score.

Step-by-step explanation:

To compare Elanor's and Gerald's math scores, we need to standardize them and calculate their z-scores.

z score can be calculated using the formula

z=X-M over 8 where

X is the student's score

M is the mean score of the exam

s is the standard deviation of the exam

Elanor's standardized score is:

z(e) =680-554 over 106 ≈ 1.19

         

Gerald's standardized score is:

z(g)= 27 - 24.7 over 3.2 ≈ 0.72

Since z(e) > z(g), Elanor has higher score

Will give brainliest answer

Answers

Answer:

Step-by-step explanation:

A(1) is the amount after 1 decade.

A(0.1) is the amount after 1  year.

Every year, the amount of CO₂ increases by a factor of 1.06^(0.1) ≅ 1.0058

how do you change a hot air baloon descends 200 feet per minute from a altitude of 1000 feet into a algebraic expression.

Answers

y = 1000-200x where x is the number of minutes and y is the altitude of the balloon

Margaret drives 188 miles
with 8 gallons of gas. Find the unit rate

Answers

The unit rate will be "23.5 miles/gallon". In the below segment, a further solution to the given question is provided.

Given values in the question are:

Total distance,

= 188 miles

Total gas used,

= 8

Now,

⇒ The rate of gas consumption will be:

= [tex]\frac{Total \ distance}{Total \ gas \ used}[/tex]

By putting the given values in the above formula, we get

= [tex]\frac{188}{8}[/tex]

= [tex]23.5 \ miles/gallon[/tex]

Thus the above is the appropriate solution.

Learn more about gas consumption here:

https://brainly.com/question/17321062

n eight-sided die, which may or may not be a fair die, has four colors on it; you have been tossing the die for an hour and have recorded the color rolled for each toss. What is the probability you will roll a blue on your next toss of the die

Answers

Answer:

The answer is "21%".

Step-by-step explanation:

[tex]\to 26 + 20 + 29 + 49 = 124\\\\=\frac{26\ \text{brown times}}{124 \ \text{total times}} \\\\= \frac{26}{ 124} \\\\ = 0.209677 \\\\[/tex]

Calculating the percentage:

[tex]= 20.9677 \times 100\\\\=20.9677\% \approx 21\%[/tex]

Aku has less than 3 times as many mangoes as Alaba and half as many mangoes as Amina if alaba has x mangoes the interns of x then how many mangoes do aku alaba and Amina have in combined

Answers

Answer:

I have no clue my bad bro.

There are 25 peanut candies in a bowl. 4 red, 3 orange, 4 yellow, 5 green, 6 blue and 3 brown. what is the probability of randomly choosing a blue candy from the bowl?​

Answers

Answer:

6/25  or 24%

Step-by-step explanation:

Answer:

6/25, 0.24, or 24% chance

Step-by-step explanation:

Hi there!

We're given that:

⇒ There are 25 peanut candies in total

⇒ 6 out of the 25 candies are blue

To find the probability of randomly choosing a blue candy from the bowl, divide 6 by 25:

6/25 = 0.24 = 24%

I hope this helps!

Help please im new and i need help

Answers

9514 1404 393

Answer:

  B) False

Step-by-step explanation:

Triangles are similar when their angles are the same measures. Because the angles sum to 180°, we only need to show that 2 angles of one triangle are equal to 2 angles of the other triangle.

All three of the angles of the first triangle are given: 20°, 40°, 120°.

One of the angles of the second triangle matches: 40°; but the other angle (80°) doesn't match either of 20° or 120°.

The angles aren't the same, so the triangles are not similar.

__

If we want to go to the trouble, we can figure the third angle of the second triangle. It is 180° -40° -80° = 60°.

Then the angles in the two triangles, listed smallest to largest, are ...

  20°, 40°, 120°

  40°, 60°, 80°

It is clear the angles of these triangles are not the same.

Given ADEF: ARST, find the scale factor

Answers

Answer:

the scale factor is 3/4

x = 16×3/4 = 12

Step-by-step explanation:

the only side length we have for both triangles is the short left side.

we see that we get ED from SR and need to transform 4 into 3. how do we do that ?

well,

4×f = 3

f = 3/4

that is the scaling factor, as all side lengths in EDF are created by multiplying the corresponding side in SRT by the same scaling factor (3/4).

therefore,

x = EF = ST×f = 16×3/4 = 4×3 = 12

Answer:

The scale factor is 4/3 and x is 12

Step-by-step explanation:

→ Divide RS by DE

4 ÷ 3 = 4/3

→ Divide the answer by 16

16 ÷ 4/3 = 12

if I have to add 97 oz of algaecide to 10,000 gallons of water how much should I add if I only have 200 gallons of water​

Answers

Answer:

1.94 oz

Step-by-step explanation:

x/97 = 200/10000

97*200 = 10,000x

19400 = 10,000x

1.94 oz

You can also do it this way:

200/10000 = 0.02

0.02 * 97 = 1.94

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Please help urgently

Answers

Answer:

Explanation:

Prove that triangle PQS is congruent to triangle RSQ

PS = QR (given)
PQ = RS (given)
Angle PQS = Angle QSA

Therefore, triangle PQS and triangle QSA is congruent (SAS).


prove it using mathematical induction

Answers

Answer:

Mathematical induction can be used to prove that an identity is valid for all integers n≥1. Here is a typical example of such an identity: 1+2+3+⋯+n=n(n+1)2. More generally, we can use mathematical induction to prove that a propositional function P(n) is true for all integers n≥1.

Step-by-step explanation:

I'd really appreciate a brainleast please:)

The line perpendicular to y=3/4x+7 containing (3,-4)

Answers

Answer:

y = - [tex]\frac{4}{3}[/tex] x

Step-by-step explanation:

1). [tex]y_{1}[/tex] = [tex]m_{1}[/tex] [tex]x_{1}[/tex] + [tex]b_{1}[/tex]  

[tex]y_{2}[/tex] = [tex]m_{2}[/tex] [tex]x_{2}[/tex] + [tex]b_{2}[/tex]

[tex]y_{1}[/tex] ⊥ [tex]y_{2}[/tex]  if  [tex]m_{2}[/tex] = - [tex]\frac{1}{m_{1} }[/tex]

2). ( [tex]x_{3}[/tex] , [tex]y_{3}[/tex] )

y - [tex]y_{3}[/tex] = m( x - [tex]x_{3}[/tex] )

~~~~~~~~~~~~~~~~~~

y = [tex]\frac{3}{4}[/tex] x + 7

[tex]m_{1}[/tex] = [tex]\frac{3}{4}[/tex]

[tex]m_{2}[/tex] = - [tex]\frac{4}{3}[/tex]

( 3, - 4 )

y - ( - 4) = - [tex]\frac{4}{3}[/tex] ( x - 3 )

y + 4 = - [tex]\frac{4}{3}[/tex] x + 4

y = - [tex]\frac{4}{3}[/tex] x

There is a language with 12 distinct letters. How many words that are less than four letters long can possibly be formed? (Assume any combination of letters is valid and letters can be repeated). Can you help me out with this one?

Answers

Answer:

1884

Step-by-step explanation:

1)If you hear the condition "less than four letters" it means that each word can consist of 3,2 or 1 letter. Firstly, consider the easiest situation with the word from one letter. There are 12 letters, so there are 12 words from one letter.

Then the words from two letters. The first letter of such a word can be chosen in 12 means(because 12 letters are available), then the second letter can be chosen in 12 means too. 12*12=144 words with 2 letters. (Multiplying, not adding, because each two words form one combination).

Then for the words from three letters, use the same rule, 12 means for the first letter, 12 means for the second letter, 12 means for the third letter. 12*12*12=1728 words.

Having particular words from 1,2,3 letters add them to get total quantity of words: 12+144+1728=1884words,that is the answer.

find the value of the trigonometric ratio. make sure to simplify the fraction if needed

Answers

Answer:

12/5

Step-by-step explanation:

since we are dealing with the angle at Z, we consider Z also to be the center of a circle.

then 10 is the radius of this circle.

24 is tan Z in this circle with radius 10.

tan Z in the standard circle with radius 1 is simply 1/10 of the tan Z in the circle with radius 10.

so, tan Z = 24/10 = 12/5

According to the video, this career offers a good opportunity to do what?
O supervise other workers
O learn an employer's business
Obecome physically fit
Obuild friendships with customers

Answers

Answer:

The correct answer is "learn an employers business"

Step-by-step explanation:

Supervising other workers isn't their job

Becoming physically fit wouldn't help them with that job

Building friendships with customers isn't part of the job

According to the video, this career offers a good opportunity to learn an employer's business. Therefore, the correct option is option B.

What is career?

There are two definitions of a career. It's common to use the word "career" to describe a profession, occupation, trade, or vocation. The work you perform for a livelihood is defined by your job, which can range from occupations requiring substantial education and training to ones that can be performed using a high school certificate and then a desire to gain knowledge.

Work as a doctor, attorney, teacher, carpenter, veterinarian assistant, electrician, cashier, instructor, or hairstylist is an example of a career. According to the video, this career offers a good opportunity to learn an employer's business.

Therefore, the correct option is option B.

To know more about career, here:

https://brainly.com/question/30104104

#SPJ6

Simplify the exponential expression -8 squared

Answers

The answer is 64 because when you square something you are multiplying the number by the number.
Example: 4 squared= 4x4 which is 16

Answer:

-64

Step-by-step explanation:

-8^2

-8( -8)

=-64

find the surface area of the prism

Answers

Answer:

Base area=5*12=60

Height is 4

Perimeter or the base is 2*(12+5)=34

Surface area is 2B+Ph=120+136=256

find the probability of rolling a sum of a three first and then a sum of nine when a pair of dice is rolled twice

Answers

Answer:

Step-by-step explanation:

favorable events for a sum of 3 are 12,21

P(sum 3)=2/36=1/18

favorable events for a sum of 9 are 36,63,45,54

P(sum of 9)=9/36=1/4

Do this please helpppp

Answers

Answer:

y = [tex]\frac{20}{9}[/tex]

Step-by-step explanation:

Since the figures are similar then the corresponding sides are in proportion, that is

[tex]\frac{JH}{PQ}[/tex] = [tex]\frac{FM}{ST}[/tex] , substitute values

[tex]\frac{6}{4}[/tex] = [tex]\frac{7}{3y-2}[/tex] ( cross- multiply )

6(3y - 2) = 28

18y - 12 = 28 ( add 12 to both sides )

18y = 40 ( divide both sides by 18 )

y = [tex]\frac{40}{18}[/tex] = [tex]\frac{20}{9}[/tex]

Answer:

20/9

Step-by-step explanation:

since the 2 are similar,

JH/PQ = FM/ST

6/4 = 7/(3y-2)

6(3y-2) = 7*4

18y-12=28

18y = 40

y = 40/18 = 20/9 = 2 2/9

find x in the following​

Answers

Answer:

i. ans in picture

ii. ans in picture

iii. ans in picture

iv. 19

v. 38

Step-by-step explanation:

i. working in picture

ii. working in picture

iii. working in picture

iv.

180-90=90

90=2x+7+45=2x+52

2x=90-52=38

x=19

v.

angle COD=3x+10

180-3x+10-2x

180+10=2x+3x

190=5x

x=38

Answer:

x = 123- 56=67x= 17x=125x=19x= 20

Step-by-step explanation:

Apply the following triangle laws:

The sum of the angles of a triangle will always be 180 degrees.

PLEASE HELP

-6/5k=12

Show your work in details if you can, I have a hard time understanding this.

Answers

[tex]\begin{cases}\large\bf{\green{ \implies}} \tt \: - \frac{6}{5} \: k \: = \: 12 \\ \\ \large\bf{\green{ \implies}} \tt \: - \frac{6k}{5} \: = \: 12 \\ \\ \large\bf{\green{ \implies}} \tt \: - 6k \: = \: 12 \: \times \: 5 \\ \\ \large\bf{\green{ \implies}} \tt \: - 6k \: = \: 60 \\ \\ \large\bf{\green{ \implies}} \tt \: k \: = \: \cancel\frac{60}{ - 6} \\ \\ \large\bf{\green{ \implies}} \tt \: k \: = \: - 10 \end{cases}[/tex]

K=-12 that is the answer hope it helps

Given:
AD
diameter of Circle P.
Dec
B
A
If m < 1 = 30°, then m AB
15
30
60

Answers

Answer:

The measure of an arc is the size of the corresponding central angle, so angle 1 for AB,

Answer: B 30

Tina invests $3,700 into an account with a 4.4% interest that is compounded quarterly. How much money will she have in
this account if she keeps it for 8 years?
Round your answer to the nearest cent.
Do NOT round until you have calculated the final answer.

Answers

Answer:

bacoot anjing

lo siapa hah kan bisa jawab sendiri sok sok minta bantuuuu

Step-by-step explanation:

maluiiin

Answer:

$5250.96

Step-by-step explanation:

Future value= Present value(1+r)^n

=3700(1+0.011)^32

r=4.4÷100÷4

n=8×4

Knowing that AQPT - AARZ, a congruent angle pair is:

Answers

Answer:

Angle T is congruent to Angle Z

Step-by-step explanation:

Since the 2 triangles are equal, that means that each pair of angles are also congruent. To know which angles are congruent, you check th order of how the triangles are named. Ex. Angle Q is congruent to Angle A, Angle P is congruent to Angle R, and Angle T is congruent to Angle Z.

NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!!

Find the 5th term for the following recursive formulas/sequences. SHOW YOUR WORK!!

c. 1/6, 2/3, 8/3, . . .

Answers

Answer:

128/3

Step-by-step explanation:

The sequence follow the rule (1/6)*(4)^(n-1). The 5th term will be (1/6)*(4)^4=128/3

Answer:

128/3

Step-by-step explanation:

1/6, 2/3, 8/3, . . .

1/6, 4/6, 16/6

We are multiplying by 4 each time

1/6 *4 = 4/6

4/6 * 4 = 16/6

This is a geometric sequence with the common ratio of 4

an = a1 (r)^(n-1)

an = 1/6 (4) ^(n-1)

Let n = 5

a5 = 1/6 (4)^(5-1)

a5 = 1/6 (4)^4

a5 = 1/6 * 256

a5 =128/3

Other Questions
Help Now Pleaseee!!!!Find the volume of the sphere Predict the Normality of H2SO4 if 75 ml of 96.6 % pure H2SO4 added to 425 ml water. The density of H2SO4 is 1.83 g/cm3? What is the image point of (-8,9) after the transformation ry=-xOR90? Diane bought new headphones originally listed for $70.99. They are 25% off. Which equation can be used to find the amount Diane will save? The Wisconsin Lottery will pay a lottery winner a lump sum payment of $19,046,180 as the final payment of her winnings in four years. If the appropriate discount rate for the payment is 8.6% what is the present value of the payment?a. $5,191,977.b. $5,408,309.c. $116,741.d. $17,899,197.e. $17,899,197. Now suppose that not every player can play in every position. The outfielders (left field, center field, right field) can play any outfield position, the infielders (1st base, 2nd base, 3rd base, short stop) can play any infield position, the pitchers can only pitch, and the catchers can only catch. Suppose a certain team has 20 players, of whom 3 are catchers, 4 are outfielders, 6 are infielders, and 7 are pitchers.How many ways can the team assign field positions to 9 of the 19 players, putting each of the 9 selected players in a position he can play, and ensuring that all 9 field positions are filled? As you read the paragraph below, think about how you would describe the main character's reaction to the event.Paula had not seen her grandfather for over a year. He had been too sick to travel from his home in New York to see Paula's family in California, though her mother had been to New York a few times. Now Paula just wanted to give her grandfather a huge hug and not let go. And finally he was here, walking up her driveway.Which next sentence provides the most precise description of Paula's reaction?A Paula was pleased to see her grandfather again.B Paula was excited to see her grandfather again.C Paula was content to see her grandfather again.D Paula was thrilled to see her grandfather again. 12. What would be the other strand of DNA?-A T C C G A A GTC C GA G- How the aging is related with the methylation? The methylation increase or decreased ? If the electric force between two charges is 4.2 10-2 N, what would the new force be if the distance between the charges is doubled and the charge on one of the charges is tripled? Which pair of angles are corresponding angles? Suppose you had d dollars in your bank account. You spent $22 but have at least $28 left. How much money did you have initially? Write and solve an inequality thatrepresents this situation.a.) d-22 28; d 50b.) d - 22 > 28; d > 50c.) d + 22 s 28; d s 72d.) d + 22 28; d 272 Joe has an idea for a new mobile restaurant business. He wants to convert an antique bus into a sit-down restaurant with a service window allowing him to serve people within the bus and walk-ups who want to get their food and take it home. Joe takes his idea and looks at the people, the offerings, the customers, the value proposition, and his distinctive competencies. Joe is performing a(n) ______A. business model canvas B. RBI screen C. classic feasibility study D. pilot test Qu sucede con la demanda si: B)El producto a travs de la publicidad atrae a la gentec) Una pandemia afecta el ingreso de las familias.< Qu sucede con la oferta si:a) Se construye un nuevo sector para la produccin.b) Aumenta el valor de los salarios de los operari0s. Question 6 of 10In what region did people first form civilizations?A. Southwest AsiaB. North AmericaC. ChinaD. Australia Write the separation scheme for the isolation of triphenylmethanol from the reaction mixture once the reaction is complete. The separation begins after the addition of HCl and water to the reaction and includes the column chromatography procedure to further purify crude triphenylmethanol isolated in the day 1 procedure. Imagine you are trying to choose what restaurant to visit. You have a list of restaurants, each with a collection of star ratings. You also have a minimum standard; you will only go to a restaurant whose star rating is at least your minimum standard. Write a function called restaurant_rating. restaurant_rating has two parameters. The first is a dictionary, where the keys are restaurant names and the values are lists of ratings. The second parameter is your minimum rating. If a restaurant's average rating is above your minimum rating, you might visit it. If it is not, you won't. restaurant_rating should return a list of restaurants eligible for you to visit. That is, it should return a list of restaurant names from the dictionary whose average ratings (the average of the ratings in their lists) is greater than or equal to your minimum rating. This list should be sorted alphabetically. For example: rest_and_rating What is the oxidation state of nitrogen in N ? Don would like to get a good grade in his math class, but he received a low score on his math midterm. He is very anxious as he studies for the final exam, which is just a week away. What stage of stress is dom experiencing ?A) exhaustionB) acceptance C) AlarmD) Resistance Whats the rate of change in this question y=0.860x+3.302