Find y when x=9 if y varies directly as the square of x and y=245 when x=7

Answers

Answer 1
Hello,

y=k*x²
if x=7 then y=245=k*7²==>k=245/49=5

So y=5x²
If x=9 then y=5*9²=405


Related Questions

In the number 514,482,441, how is the relationship between the first pair of 4s the same as the relationship between the second pair of 4s? How is it different?

Answers

Both = 10:1 Worked out by the following: 4000000 = 400000 * 10 the same way as 400 = 40 * 10

All angles in the figure below are right angles. What is the area of the figure? 14 18 28 36

Answers

The answer is D 36

I found out the hard way lol

two stores sell the same refrigerator for the same original price. Store A advertises that the refrigerator is on sale for 15% off the original price. Store B advertises that it is reducing the refrigerator’s price by $150. When Stephanie compares the sale prices of the refrigerator in both stores, she concludes that the sale prices are equal.

Let p represent the refrigerator’s original price.

Which equation models this situation?

Answers

The answer is 0.85p = p – 150

since the refrigerator is 15% off

it is selling at 100%-15% = 85% of the original value

85% = 0.85

 so 0.85Pis one price

other store is selling at p-150

 so 0.85p = p-150

A cross-country skier skied at a rate of 10.82 miles per hour. In 2.45 hours, the skier covered 2.6509 miles.

Is this correct? Explain why or why not.

Answers

Answer:

CHEATING

Step-by-step explanation:

becaus eI got it right on egde

The information given that the skier covered 2.6509 miles is wrong because the decimal was wrongly put.

Since the cross-country skier skied at a rate of 10.82 miles per hour, it should be noted that in 2.45 hours, we've to multiply 10.82 miles by 2.45 hours and this will be:

= 10.82 × 2.45

= 26.509 miles

From the information given, we are told that in 2.45 hours, the skier covered 2.6509 miles, this is incorrect as the miles covered is 26.509 miles.

Therefore, information given that the skier covered 2.6509 miles is wrong because the decimal was wrongly put.

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Let x equal the larger outcome when a pair of fair four-sided dice is rolled. find the pmf of x, its mean, variance, and standard deviation.

Answers

checked for the attached file for the solution:

The radius of a sphere is measured to be 3.12 cm. What is the most accurate volume of the sphere you can report?

Answers

V=4/3 (3.14) r^3
Just use this rule

Answer: 128

Step-by-step explanation:

Write a pair of numbers such that the value of the 7 in the first number is 1,000 times the value of the 7 in the second number, and the value of the 3 in the first number is 100 times the value of the 3 in the second number

Answers

437,000
400,307

In the second number, the 7 is moved 3 places to the right, and the 3 is moved 2 places to the right.


(The digit 4 is used here simply to make the numbers be the same overall length. It can be changed to any other digit (except 3 or 7) or removed. Digits that are not 3 or 7 can replace any of the zeros.)

How does writing 3.441 in expanded form show why the same digit can have different values?

Answers

When expanded it would be 3+0.4+0.04+0.001. There is two fours, but because it is written in expanded form you can see that one is four tenths and the other is four hundredths. Although they are the same digit, you can see that they are different values, the way you wrote it helping you with that.
Final answer:

Writing 3.441 in expanded form shows that each digit represents a different value depending on its place in the decimal number. This is determined by the power (exponent) of 10 corresponding to the decimal shift from the right side of the digit. This understanding is essential for scientific notation and handling large and small numbers.

Explanation:

Writing the number 3.441 in expanded form helps to clarify why the same digit can possess different values based on its position in the decimal number. To write 3.441 in expanded form we break it down into the addition of its respective place values, like this:

3.441 = 3 x 1 + 0.4 x 1/10 + 0.04 x 1/100 + 0.001 x 1/1000.

As we can see, each digit represents a different value based on its placement. This is determined by the power (exponent) of 10 which is equal to the number of places the decimal is shifted from the right side of the digit. This method is also applicable to scientific notation, transforming both very large and very small numbers into more manageable expressions for calculations.

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I need to know how to solve this in order correctly and the answers well

Answers

use order of operations

8^2 = 64

4(64+4*4*8)

4(64+128)

4(192)

768

During a catered lunch, an average of 4 cups of tea are poured per minute. The lunch will last 2 hours. How many gallons of tea should the caterer bring if there are 16 cups in one gallon?

Answers

1 min = 4cups
60 min = 1hr
4×60 =240
1hr=240 cups
2hrs = 480 cups
1 gallon = 16 cups
480/16 = 30 gallons

The caterer should bring 30 gallons of tea
In 2 hours you would need 30 gallons of tea.
Explanation:
4cups/per minute x 1 gallon/16cups x 60minutes/1 hour = 240gallons/16hours
240gallons/16hours = 15gallons/1 hour
15gallons/1 hour x 2 = 30 gallons/2 hours

The entrance of a cave is at an elevation of 14 meters. The lowest part of the cave is at an elevation of negative 86. Write an integer to represent the elevation of the entrance to the cave.

Answers

Answer: 14 Given ,entrance of cave having an elevation of 14 m.since 14 is an integer which represent elevation

a line and a point are ________ coplanar.
a. always
b. sometimes
c. never

Answers

Answer:

A. always

Step-by-step explanation:

parallel lines are always going to be coplanar

Simplify (3a^3 b^3)(4ab^2)^2

Answers

[tex]\bf (3a^3b^3)(4ab^2)^2\implies (3a^3b^3)(4^2a^2b^{2\cdot 2})\implies (3a^3b^3)(4^2a^2b^4) \\\\\\ 3a^3b^34^2a^2b^4\implies 3\cdot 4^2a^3a^2b^3b^4\implies 3\cdot 16a^{3+2}b^{3+4}\implies 48a^5b^7[/tex]

In a grocery store there are 4 self-checkout lines and 8 lines with cashiers. Find the ratio of the number of lines with cashiers to the number of self-checkout lines. Express the answer as a simplified fraction.

Answers

8:4 Is the ratio of the number of lines with cashiers to the number of self-checkout lines.

Answer:  The required simplified fraction is [tex]\dfrac{2}{1}.[/tex]

Step-by-step explanation:  We are given that in a grocery store there are 4 self-checkout lines and 8 lines with cashiers.

We are to find the ratio of the number of lines with cashiers to the number of self-checkout lines.

Let n represents the number of lines with cashier and m represents the number of self-checkout lines.

Then, we have

n = 8 and  m = 4.

Therefore, the required ratio of the number of lines with cashiers to the number of self-checkout lines is given by

[tex]\dfrac{n}{m}=\dfrac{8}{4}=\dfrac{2}{1}.[/tex]

Thus, the required simplified fraction is [tex]\dfrac{2}{1}.[/tex]

2.1m = 25.62 solve the equation

Answers

2.1m = 25.62
divide both sides by 2.1
2.1m / 2.1 = 25.62 / 2.1
simplify
m = 12

Hera spent $16 on dinner. Then she spent S6 on dessert and some more on a taxi ride. Including the taxi fare, she spent a total of $31. How much money did Hera spend on the taxi ride? 2. (a) What is the unknown information? (b) Let x represent the unknown information. Write an addition equation that models the problem. (c) Solve the equation. (d) Answer the question PLEASE HELP !!!

Answers

A) unknown information is how much she spent on the taxi ride

B) 31 = x +16+6

C ) 31= x +22

     x =31-22 = 9

   She spent $9 on the taxi

(A) How much money Hera spent on the taxi ride.

(B) 31 = x + 16 +6

(C) 16 + 6 = 22 31 - 22 = 9

(D) She spent $9 on the taxi.

(also sorry im uh 4 years late aldksjfladfoajsdflkj)

A cheetah can run 70 mph. What is this speed in feet per hour

Answers

To answer this question you have to determine how many feet are in a mile and multiply it by 70. There are 5280 feet in a mile, so 5280 x 70= 369600. So he can run 369600ft in an hour. (im pretty sure lol, i feel like i may have misunderstood this question, are there any answer choices?)

NEED HELP WITH
The table shows the annual profit or loss of Famed Film Corporation for the years 2003 to 2010 and the average profit of $0.3375 million for the 8-year period.
year | profits lost/millions
2004 $3.40
2005 $2.10
2006 $?
2007 $0.60
2008 $2.10
2009 -$0.20
20010 $1.30
2011 $-$0.75

average- $1


What was the profit/loss in 2006, in millions? Round your answer to the nearest hundredth.

Answers

Let the average profit or loss in year 2006 be x millions, 


The average profit for the 8-year period, is the total sum of the profits (or losses) of each year, divided by 8:

so we have:

[tex]\displaystyle{ \frac{3.40+2.10+x+0.60+2.10+0.20+1.30+0.75}{8}=1 [/tex]

[tex]\displaystyle{\frac{10.45+x}{8}=1 [/tex]

[tex]10.45+x=8[/tex]

x=8-10.45=-2.45


Answer: the loss in 2006, was 2.45 million dollars

A vial of medicine contains 60oz of medicine. If a dose is 3oz how many ounces does the vial contain

Answers

60/3 = 20 doses per vial

Frank has been driving a constant speed for 3 hours during which time he traveled 195. How long will it take for him to drive 455 miles

Answers

it will take him 7 hours.
It will take him 7 hours.

if we assume the linear trend existed before 1950 and continues after 2000, the two states’ median house values wil be (or were) equal in what year? (The answer might be absurd.)

Answers

Final answer:

To find the year two states would theoretically have equal median house values, one could use provided growth rates and starting house values to set up an equation and solve for time. However, assuming a linear trend can lead to inaccurate results as real estate markets are affected by many fluctuating factors.

Explanation:

To calculate the year in which two states would have theoretically had equal median house values, we first need to know the starting house values for each state and the annual growth rate trends. We've learned from the FRED® Economic Data that median sales price for a home in the U.S. was $122,900 in 1990 and rose to $232,000 by the end of 2016, an average growth rate of 3.1% annually. In other periods, such as the 1970s, 1980s, and 1990s, housing prices increased about 6% per year on average. During the 'housing bubble' years (2003-2005), they experienced a sharp rise and then a fall with the 2007-2008 recession.

Assuming linear trend (constant growth), we would set up an equation with these variables and solve for the year (time) where the values are equal. However, do kindly note that assuming the same trend can often lead to absurd results as housing markets are affected by a variety of economic, political, and demographic factors and do not always follow a linear trend.

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a) Home values have increased at a higher rate in New York.

b) The median home value in Arkansas in 2010 would be $82,400.

c) The two states' median house values were equal in year = 190

Let’s break down each question:

a) To determine which state’s home values have increased at a higher rate, we need to calculate the rate of change for each state. The rate of change is calculated as the difference in home values divided by the difference in years.

For Arkansas, the rate of change is (72,800 - 24,800) / (2000 - 1950) = $960 per year.

For New York, the rate of change is (148,700 - 61,500) / (2000 - 1950) = $1,744 per year.

So, home values have increased at a higher rate in New York.

b) If these trends were to continue, the median home value in Arkansas in 2010 would be the 2000 home value plus the rate of change times the number of years since 2000.

So, the median home value in Arkansas in 2010 would be 72,800 + $960 * (2010 - 2000) = $82,400.

c) If we assume the linear trend existed before 1950 and continues after 2000, the two states’ median house values will be equal when the equation for Arkansas’s home values equals the equation for New York’s home values.

We are given that the median home value in Arkansas in 1950 was $24,800 and in 2000 it was $72,800. This gives us a rate of increase of $960 per year. So, the value of a home in Arkansas in year ‘x’ can be represented by the equation:

[tex]V_{Arkansas}(x) = 24800 + 960 * (x - 1950)[/tex]

Similarly, the median home value in New York in 1950 was $61,500 and in 2000 it was $148,700. This gives us a rate of increase of $1,744 per year. So, the value of a home in New York in year ‘x’ can be represented by the equation:

[tex]V_{NewYork}(x) = 61500 + 1744 * (x - 1950)[/tex]

The two states’ median house values will be equal when

[tex]V_{Arkansas}(x) = V_{NewYork}(x)[/tex]

Setting the two equations equal to each other and solving for ‘x’ gives us:

[tex]24800 + 960 * (x - 1950) = 61500 + 1744 * (x - 1950)[/tex]

[tex]24800+960x-1872000=61500+1744x-3400800\\784x=149100\\x=190.17[/tex]

We round it to the nearest whole number because it represents a year.

So, the two states' median house values were equal in year = 190

Complete Question:

The median home value in Arkansas and New York (adjusted for inflation) are shown below:

Year Arkansas  New York

1950 24,800 61,500

2000 72,800 148,700

If we assume that the house values are changing linearly,

a) In which state have home values increased at a higher rate?

b) If these trends were to continue, what would be the median home value in Arkansas in 2010?

C) If we assume the linear trend existed before 1950 and continues after 2000, the two states' median house values will be (or were) equal in what year? (The answer might be absurd)

How many pairs of whole numbers have a sum of 110

Answers

Let's focus on positive numbers only, to simplify things.
This omits zero (0) and all negative numbers.
1+109=110
2+108=110
continue this until you discover the pattern.  Then count the number of sums that equal 110.

there are 2 aircraft carriers , A&B, and carrier a is longer in length than carrier B. The total length of these 2 carriers is 4,198 ft, while the differences of their lengths is only 10ft. Find the length of each carrier

Answers

Sum and difference problem.

Longer carrier = (sum+difference)/2 = (4198+10)/2 = 2104 ft
Shorter carrier = (sum-difference)/2 = (4198-10)/2 = 2094 ft.

Final answer:

Carrier A is 2104 feet long and carrier B is 2094 feet.

Explanation:

This problem can be solved using simple algebra. Let's denote the length of carrier A as 'a' and the length of carrier B as 'b'. We know two things about these lengths from the question:

The sum of the lengths is 4198 feet, hence: a+b=4198Carrier A is longer by 10 feet, hence: a-b=10

Now, you can add these two equations together to eliminate 'b'. This will give: 2a=4208. Hence, by dividing by 2, you will find that a=2104. Now, substitute a=2104 back into the first equation: a+b=4198. This will give: 2104+b=4198, which simplifies to b=2094. So, the length of carrier A is 2104 feet and the length of carrier B is 2094 feet.

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If the probability of drawing an ace from a deck of cards is 0.077 and the probability of rolling a "2" using a fair die is 0.167, then the probability of drawing an ace and rolling a "2" is

Answers

the probability of drawing an ace and rolling a "2" is = 0.077 × 0.167

you just multiply and get the answer.

The probability of drawing an ace and rolling a "2" is 0.012859.


What is probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favourable outcomes / Number of sample

Given that the probability of drawing an ace from a deck of cards is 0.077 and the probability of rolling a "2" using a fair die is 0.167.

The probability of drawing an ace and rolling a "2" is calculated as,

Probability = 0.077 × 0.167

Probability = 0.012959

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5(n–2)=5n–10
how many solutions does it have

Answers

since the equation on the left can be rewritten :

to be 5n-10 then both sides of the equation are equal

 so any real number will work

estimate the sum 198, 819, 918

Answers

Estimation:    " 1940 " .
_________________
   200
+ 820
   920
_________
  1940 .
_________________________________

Estimate the isoelectric point of a ser–his dipeptide. explain why this value is only an estimate.

Answers

A dipeptide bond connects two amino acids. Ser stands for Serine while His stands for Histidine. Isoelectric point is when all charges of the two amino acids cancel out. This can be estimated by finding the average of the isoelectric points (pI) of the two amino acids.

Serine: pI = 5.68
Histidine: pI = 7.59

Average pI = (5.68 + 7.59)/2 = 6.635

This is only a rough estimate because an arithmetic average will not coincide with the biochemistry of the amino acids. The true value of the isolectric point is determined through experimentation. However, it would be more ore less around 6.635.

what is the value of 0.543 and what is the value of the 4

Answers

There are 3 numbers to the right of the decimal point. The first digit is tenths, the second digit is hundredths and the third digit is thousandths.

0.543 = 543 thousandths.

The 4 is in the hundredths place so the 4 would be 4 hundredths.

i need help plez and thanks

Answers

the answer is 80, there multiplying x2 for each number

is it possible for a 5 digit number to be rounded to a 6 digit number

Answers

no because no matter what you round it to you will always be multiplying the 5 digit number by itself that many times
When we round a number the new rounded number is simpler but the value is kept close to what it was. The common method for rounding numbers is the following: we decide which is the last digit to keep and leave this digit the same the same if the next digit is less than 5 or increase it by 1 if the next digit is bigger than 5.
Because the next digit matter, it is not possible for a 5 digit number to be rounded to 6 digit number. 
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