Mathematics High School

If y varies directly as x, and y = - 4 when x=32, find why when x=3

Answers

Answer 1
Attached the solution and work.
If Y Varies Directly As X, And Y = - 4 When X=32, Find Why When X=3

Related Questions

Solve and justify each step
SHOW WORK

Solve: -4(n+5)>3n+8

Answers

-4n-20>3n+8

-7n-20>8

-7n<28
n<-4

If the decay of 742 mg of an isotope is described by the function A(t)= 742e-0.03t, where t is time in years. Find the amount left after 84 years. Round your answer to the nearest mg. 

Answers

57.701 mg before rounding

Answer:

The amount left after 84 years is 59.70 mg.                        

Step-by-step explanation:

Given : If the decay of 742 mg of an isotope is described by the function [tex]A(t)= 742e^{-0.03t}[/tex], where t is time in years.

To find : The amount left after 84 years?

Solution :

The function of decay of 742 mg of an isotope is given by,

[tex]A(t)= 742e^{-0.03t}[/tex]

We have to find the amount left after 84 years.

i.e. put t=84 in the given function,

[tex]A(84)= 742e^{-0.03\times 84}[/tex]

[tex]A(84)= 742e^{-2.52}[/tex]

[tex]A(84)= 59.701[/tex]

Therefore, The amount left after 84 years is 59.70 mg.

Simplify:
(3-4i)(1+5i)-(2-i)



Show all of your work please

Answers

So first you want to do the multiplication.

(3-4i)*(1+5i)

So what you want to do is multiply everything inside the parenthesis by everything inside the other parenthesis.

Or,

3 * 1 + 3 * 5i + -4i * 1 + (-4i) * 5i

Or,

3 + 15i + -4i - 20i

Then,

3 + -9i

3 - 9i - (2 - i)

Open the parenthesis, and since it has a minus before it reverse the operator inside of the parenthesis.

3 - 9i - 2 + i

Or,

1 - 8i


???????????????????????????

Answers

Greetings!

We can substitute the variables, so we only have to solve for one, per eqaution
[tex]x=4y[/tex]
Therefore...
[tex]3x-2y=20[/tex]
Is also equal to..
[tex]3(4y)-2y=20[/tex]

Solve for y.
Combine Like terms.
[tex]12y-2y=20[/tex]
[tex]10y=20[/tex]
Divide both sides by 10.
[tex](10y)/10=(20)/10[/tex]
Simplify.
[tex]y=2[/tex]

Now we can use the value of y to solve the other equation.
[tex]x=4y[/tex]
Is also equal to...
[tex]x=4(2)[/tex]

Solve for x.
Combine like terms.
[tex]x=8[/tex]

The answer would be 8,2

Hope this helps.
-Benjamin

Which of the following lines goes downwards from left to right?
A. Y=2x+5 b. Y=2x-6
C. Y=2x d. Y=-2x+20

Answers

"Goes downwards from left to right" is basically saying that the slope of this line is negative. We go downhill from left to right. 

y = 2x+5 has a positive slope because m = 2 is the slope (b = 5 is the y intercept)
So choice A is out

Similarly choice B is eliminated as well because the slope is also m = 2

Choice C is false as well. The slope here is m = 2 (think of y = 2x as y = 2x+0)

The only choice with a negative slope is choice D. The slope is m = -2 

This is why the answer is choice D

Side Note: I'm using slope intercept form y = mx+b where m is the slope and b is the y intercept

Lyle shot three times as many baskets as cliff, while kyle shot 12 more baskets than cliff. if lyle and kyle shot the same number of baskets, how many baskets did each of them shoot?

Answers

Final answer:

Cliff shot 6 baskets, Lyle shot 18 baskets, and Kyle also shot 18 baskets.

Explanation:

Let's represent the number of baskets Cliff shot as C.

Lyle shot three times as many baskets as Cliff, so Lyle shot 3C baskets.

Kyle shot 12 more baskets than Cliff, so Kyle shot C + 12 baskets.

Since Lyle and Kyle shot the same number of baskets, we can set their expressions equal to each other: 3C = C + 12.

Solving this equation, we find that C = 6.

Therefore, Cliff shot 6 baskets, Lyle shot 3C = 3(6) = 18 baskets, and Kyle shot C + 12 = 6 + 12 = 18 baskets.

Learn more about mathematics here:

https://brainly.com/question/27235369

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Write an equation of the line in slope-intercept form of the line that passes through the point (-5, 1) and is parallel to the line x – 5y = 8. show your work.

Answers

-5y=-x+8
y=1/5x-8/5

y-1=-5(x+5)
y-1=-5x-25
y=-5x-24

Compare the two ratios by entering >, < , or = in the box. ​ 18 ​ ​ 320 ​

Answers

< because 320 is greater than 18 

plz mark brainliest.

Answer:

1/8 is greated than 3/20

Step-by-step explanation:i took test

Jeffrey is planning to tile his bathroom. He is taking measurements before he goes to the hardware store to buy the tile. What is the best unit of measure for Jeffrey to use?

Answers

Square feet because it is an ideal unit to measure rooms.

Answer:

i think the answer would be square feet

Step-by-step explanation:


A rectangle that has an area of 357 square inches is 17 inches wide. Using the formula for area (4072-01-01-03-00_files/i0260000.jpg), how long is the rectangle? a. 21 inches b. 340 inches c. 20 inches d. 15 inches

Answers

A = L * W
A = 357
W = 17

357 = 17L
357 / 17 = L
21 = L <== length is 21 inches

Answer:

The correct option is:  a.  21 inches

Step-by-step explanation:

The area of the rectangle is 357 square inches and width is 17 inches.

Formula for the area of rectangle is:   [tex]Area= Length\times Width[/tex]

Suppose, the length of the rectangle [tex]=x[/tex] inches.

So, the equation will be.....

[tex]357=x\times 17\\ \\ \frac{357}{17}=\frac{x\times 17}{17}\ [Dividing\ both\ sides\ by\ 17]\\ \\ 21=x[/tex]

So, the rectangle is 21 inches long.

What is the product of 3x(x^2+4)

Answers

Answer:

[tex]3x^3+12x[/tex]

Step-by-step explanation:

[tex]3x(x^2+4) = 3x\cdot x^2 + 3x\cdot 4 = 3x^3+12x[/tex]

What plane contains points D, G, and H?

a. The plane that passes at a slant through the figure.
b. The plane on the bottom of the figure.
c. The plane on the top of the figure.
d. The plane on the front of the figure.

Answers

I think it is d. But I think you should check to make sure.

How much is 1200 pounds of corn plus 25% more?

Answers

1500 because 1200/25 is 300 then you add 300 to your already 1200

He​ _______ tells us that for a population with any​ distribution, the distribution of the sample means approaches a normal distribution as the sample size increases.

Answers

He​ Sampling method tells us that for a population with any​ distribution, the distribution of the sample means approaches a normal distribution as the sample size increases.
The Central Limit Theorem tells us that for a population with any distribution, the distribution of the sample means approaches a normal distribution as the sample size increases. In practice, the distribution of the sample means approaches a bell-shape curve when n > 30. More specifically speaking, if a random variable X has a mean of µ and a standard deviation of σ, then the sample means are approximately normally distributed with a mean of µ and a standard deviation of [tex] \frac{\sigma}{ \sqrt{n} } [/tex] as the sample size increases.  

I brought 1 1/4 lbs of grapes. 2 1/2 lbs of cherries and 2lbs of bananas. How much total pounds of fruit did i buy?

Answers

First, add the whole numbers together:
1 + 2 + 2 = 5
Now, add the fractions together:
1/4 = 2/8
1/2 = 4/8
2/8 + 4/8 = 6/8 or 3/4
Add your two amounts together to get:
5 3/4 lbs of fruit

Hope this helps!! :)
1 + 2 + 2 = 5

1/4 + 1/2

1/4 + 2/4 = 3/4

The answer will be 5 3/4

Hope I helped

A rental car service charges $25 to rent a car, plus $2 per mile. If x represents the number of miles driven, then the expression for the total cost to rent the car is 2x + 25. Which table shows the total cost to rent a car?

Answers

2x + 25 represents the equation for total cost with a variable of how far you drive.

Which equation best represents the line graphed above?

Answers

x=2 because for any y value the x value is always 2
the answer is y=2. i hope it helps

To which graph does the point (8, −2) belong?

Answers

When you're given a list like that, the easiest way to find the answer is to just test the point in each one! Plug in -2 for y and 8 for x, and see which of the inequalities those values satisfy.

If the product of two numbers is positive then the two numbers must both be positive true or false

Answers

false, a negetive and negetinve both equal positive

Please help!
This graph shows the amount of rain that falls in a given amount of time.


What is the slope of the line and what does it mean in this situation?


Select from the drop-down menus to correctly complete each statement

The slope of the line is ___

This means that ___ mm of rain falls every ___

Answers

the slope is 5/2. count up 5 then go right 2. this means that 5 mm of rain falls every 2 hrs

To find the slope, we use the formula for slope,

[tex]m=\frac{y_{2}-y_{2}} {x_{2}-x_{1}}[/tex]

Letting the point (2,5) be [tex](x_{1},y_{1})[/tex] and the point (4,10) be [tex](x_{2},y_{2})[/tex].

Now plugging in these values in the formula for slope, we get,

[tex]m=\frac{10-5}{4-2} =\frac{5}{2}[/tex]. The slope is [tex]\frac{5}{2}[/tex].

This basically means 5 mm of rain falls in every 2 hours, or 2.5 mm of rain falls every hour ([tex]\frac{5}{2} =2.5[/tex])


ANSWER: Slope is [tex]\frac{5}{2}[/tex] and 5 mm of rain falls every 2 hours.

find f(-5) if f(x) = ???????

Answers

f(x) = Ιx+1Ι

x = -5

Ι-5Ι = 5

so equation is 5+1

answer is 6

HELP
IMPORTANT 20 POINTS

Answers

volume of tub = 20 *10*10 = 2000cm^3

2000*1/16 = 2000/16 = 125 cubic cm of ice scream left

 volume of sphere = 4/3*3.14*3^2 = 37.68 / 2 = 18.84

volume of cone = 18.84

18.84 = 1/3 *3.14*r^2*h

18.84 = 9.42*h

h = 18.84 / 9.42 = 2.00 inches tall

Terry bought 2 1/2 dozen chocolate chip cookies. She paid $15 for her purchase. If there were 12 cookies in each dozen, what was the cost per cookie?


$0.17


$0.83


$1.25


$0.50

Answers

Your answer Is $0.50 have a nice day my friend 

What is the total displacement of a student who walks 3 blocks east, 2 blocks north, 1 block west and then 2 blocks south?

Answers

The total displacement is 2 since its last position is 2 blocks east from the initial position

The total displacement of the student is 2 block east.

We know that displacement refers to less distance that shows the difference between the starting & the final position.

Based on this,

y = 2 -2 = 0

x = 3 - 1 = 2

So, we can conclude that the total displacement of the student is 2 block east.

Learn more about the displacement here: brainly.com/question/11934397

WILL MARK BRAINLIEST ANSWER THIS QUESTION K

Answers

For the first question, the choice at the bottom left corner is the answer.
For the second question, the two equations that represent the system of inequalities are y < 1- 3x and y ≥ 0.5x - 1

Either Roman has a date with Malou, or Jeff is sleeping or Hadji is eating.

Answers

Given that one Friday night, Roman and Malou are busy studying for their Logic exam. Meanwhile, Hadji just tweeted a picture of himself eating crispy pata and sisig. Jeff is sound asleep in his dorm room.

Part A:

The truth value of "Either Roman has a date with Malou, or Jeff is sleeping or Hadji is eating." is obtained as follows:

From the scenario, the truth value of the individual statements are as follows:

Roman has a date with Malou is True

Jeff is sleeping is True

Hadji is eating is True

Thus, the truth value of "True" or "True" or "True" is True.

Therefore, the truth value of "Either Roman has a date with Malou, or Jeff is sleeping or Hadji is eating." is True.



Part B:

The truth value of "Either Jeff is sleeping or Hadji is not eating" is obtained as follows:

From the scenario, the truth value of the individual statements are as follows:

Jeff is sleeping is True

Hadji is not eating is False

Thus, the truth value of "True" or "False" is True.

Therefore, the truth value of "Either Jeff is sleeping or Hadji is not eating" is True.



Part C:

The truth value of "Roman and Malou are on a date and Jeff is sleeping, or Hadji is not eating." is obtained as follows:

From the scenario, the truth value of the individual statements are as follows:

Roman and Malou are on a date is True

Jeff is sleeping is True

Hadji is not eating is False

The truth value of "True" and "True" is True.
The truth value of "True" or "False" is True.

Thus, the truth value of ("True" and "True") or "False" is True.

Therefore, the truth value of "Roman and Malou are on a date and Jeff is sleeping, or Hadji is not eating." is True.
Either Roman has a date with Malou, or Jeff is sleeping or Hadji is eating. - True b. Either Jeff is sleeping or Hadji is not eating - True c. Roman and Malou are on a date and Jeff is sleeping, or Hadji is not eating. - False

A measurement is given as the length of an onion cell is 0.4mm to the nearest tenth of a millimeter. Find the minimum & maximum possible measurements

Answers

The least number which approximates to 0.4mm to the nearest tenth is 0.35 while the largest number which approximates to 0.4mm to the nearest tenth is 0.449

Therefore, the minimum & maximum possible measurements are 0.35 and 0.449 respectively.
0.35mm-0.45mm The actual length of the onion cell must be something that rounds to .4mm. Anything lower than 0.35mm would be closer to .3mm and anything over .45 would be closer to .5mm.

2x7+2 ?
What does x =

Answers

The x is the variable so you have to find what the equation equals in order too find out what variable x is.  2 x7+2 = 16. So now x = 16

You randomly select 7 students from a class with 15 male and 20 female students. what is the probability that you will choose exactly 4 females?

Answers

0.3278 Use combination formula ((20C4)*(15C3))/(35C7) = 0.3278 20C4 - combinations of 4 females from 20 15C3 - combinations of 3 males from 15 35C7 - all possible combinations of 7 students from 35 students in total
Final answer:

To find the probability of selecting exactly 4 females out of 7 students, we need to use the hypergeometric distribution.

Explanation:

To determine the probability of selecting exactly 4 females out of 7 students, we need to use the hypergeometric distribution. In this scenario, we have a population of 35 students (15 males + 20 females) and we want to select a sample of 7 students. The group of interest is the females, which consist of 20 students. Since we are selecting without replacement, we need to use the hypergeometric distribution formula:

P(X = k) = (C(K, k) * C(N-K, n-k)) / C(N, n)

where:

N = total population sizen = sample sizeK = number of successes in the populationk = number of successes in the sample

Plugging in the values, we get:

P(X = 4) = (C(20, 4) * C(15, 7-4)) / C(35, 7)

Calculating the combinations, we find that P(X = 4) = 0.416

Learn more about probability here:

https://brainly.com/question/32117953

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What's 4.50+4.50+2.39+2.39+1.99? What's the answer minus 25?? pls halp meh '-'

Answers

4.50+4.50=9.00=9
+
2.39+2.39=4.78
+
1.99
=
15.77

15.77-25=-9.23
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