If t varies inversely as a and t= 2 when a = -4, what is t when a = 1/3?

1. -2 2/3
2. -24
3. - 1/6
4. -2/3

Answers

Answer 1

Answer:

t = - 24

Step-by-step explanation:

Given t varies inversely as a then the equation relating them is

t = [tex]\frac{k}{a}[/tex] ← k is the constant of variation

To find k use the condition t = 2 when a = - 4

2 = [tex]\frac{k}{-4}[/tex] ( multiply both sides by - 4 )

- 8 = k

t = [tex]\frac{-8}{a}[/tex] ← equation of variation

When a = [tex]\frac{1}{3}[/tex] , then

t = [tex]\frac{-8}{\frac{1}{3} }[/tex] = - 24


Related Questions

What is the volume of the composite solid? 6 m 4 m 3 m 4 m 4 m

Answers

Answer:

Please read explanation

Step-by-step explanation:

A picture would be helpful, but I think the answer might be (6x4x3)+(3x4x4). If your shape is made up of many parts, you should find the volume of each shape then add them up to find the total volume. (To find volume, multiply base x height x width) If you could give a picture, it would be very helpful because I don't really know which numbers I should multiply to find volume. I hope this explanation helps, and please comment if you need to ask me anything.

Answer:

Answer is 136 cubic meters

Step-by-step explanation:

A boat traveled 54 km with the stream and 42 km against the stream spending a total of as much time as it would spend while travelling 96 km in a lake. Find the speed of boat while it is travelling in the lake, if the current of the river is 3 km/hour.


Hii! If someone can like show how they got this I would really appreciate it! Thank you so much. I kinda need it quick

Answers

Answer:

24 km/h

Step-by-step explanation:

The speed of the boat  in the lake = xThe speed of the current = 3 km/h

Required equation:

54 / (x + 3) + 42 / (x - 3) = 96/x9x(x - 3) + 7x(x + 3) = 16(x + 3)(x - 3)9x² - 27x + 7x² + 21x = 16x² - 1446x = 144x = 144/6x = 24 km/h

Two sides of a parallelogram are 200 feet and 580 feet. The measure of the angle between these sides is 112°. Find the area of the parallelogram to the nearest square foot.

Answers

Answer:

Area of the parallelogram = 107,555 square feet

Step-by-step explanation:

Let

h = height of the parallelogram

sin (112°) = h/200 feet

h = sin(112°) × 200

h = 0.927184 × 200

= 185.4368 feet

h = 185.44 feet

Area of the parallelogram = base × height

= 580 feet × 185.44 feet

= 107,555.2 square feet

To the nearest square root = 107,555 square feet

Area of the parallelogram = 107,555 square feet

The sum of two numbers is 52 and the difference is 16. What are the numbers?

Answers

Answer:

18

Step-by-step explanatio:a 52 le quitas la diferencia de 16 y da 36 que lo divides entre 2 y es 18 por lo que 18+18=36+16=52

Step-by-step explanation:

[tex]here \: is \: your \: solution \\ \\ let \: the \: first \: number \: be \: x \\ \\ let \: the \: second \: number \: be \: y \\ \\ now \: according \: to \: question \\ \\ x + y = 52 \\ \\ and \: x - y = 16 \\ \\ now \: add \: both \: equation \\ \\ we \: will \: get \: \\ \\ 2x = 68 \\ \\ x = 68 \div 2 \\ \\ x = 34 \\ \\ now \: put \: the \: value \: of \: x \: in \: equation \\ \\ 34 + y = 52 \\ \\ y = 52 - 34 \\ \\ y = 18 \\ \\ x = 34 \: and \: y = 18 \\ \\ hope \: it \: helps[/tex]

If the inflation rate is 4%, how much will a house now worth $187,000 be worth in 23 years?

Answers

Answer:

$172040

Step-by-step explanation:

187,000 (0.04) = $7480

23(7480) = $172040.

-----------------OR-----------------

187,000 x 0.04 x 23 = $172040

Is answer of this right or wrong.Pls help me​

Answers

Answer:

pretty sure thats right!

Step-by-step explanation:

we just tested on this

I hope so but if it’s wrong you can always check back with me

what the answer to this qoution

Answers

Answer:

the slope is -2/1 or -2x

equation is y= -2x-5

Can someone help me please?

Answers

Not the right answer 5

Given the following data set 2,3,1,6,1,1,1,0,2,4,5,1,2,2,3
Mean
Median
Range
Mid range

Answers

Answer:

mean: 34/15=2.27

median: 2

range: highest-lowest...... 6-0=6

mid range: high + low divided by 2

6+0=6/2=3

Answer:

Mean: 2.27

Median: 2

Range: 6

Mid-range: 3

Step-by-step explanation:

The mean is adding the average of the data set; add up all numbers, then divide by how many numbers there are.

2 +3 + 1 + 6 + 1 + 1 + 1 + 0 + 2 + 4 + 5 + 1 + 2 + 2 + 3 = 34

There are 15 numbers in this data set.

34 ÷ 15 = 2.26666666667 ≈ 2.27 (nearest hundredth)

2.27 is the mean.

-------------------------------------------------------------------------------------------------------------The median is the middle number after putting the data set in numerical order.

0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 5, 6

The median is 2.

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

0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 5, 6

The range is the smallest number subtracted from the largest number.

6 - 0 = 6

6 is the range.

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

0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 5, 6

The formula for mid-range is:

Maximum value + largest value ÷ 2.

The largest value is 6.

The minimum value is 0.

6 + 0 = 6

6 ÷ 2 = 3.

The mid-range is 3.

Type the correct answer in the box.

The area of the figure is ___ square units.

Answers

Answer:

26 square units

Step-by-step explanation:

We are given a diagram and are asked to find the area of the figure in square units.

To solve, take in mind that we need to multiply the sides given.

Area is L * W, therefore, we know that our length is 5 by 2 units, while our width is 3 by 2 units.

First start with the length, since it is 5 by 2 we multiply 5 and 2 :

5 * 2 = 10

Then with the width, since it is 3 by 2, we can multiply 3 and 2 :

3 * 2 = 6

Then do the length again since the bottom part of the diagram needs to be included, it is also 5 by 2 :

5 * 2 = 10

Add all these together to get your answer :

10 + 6 + 10

16 + 10

26 square units.

The equation below has two answers. One of the answers is X=5. What is the other value of X?

Answers

Answer:

x = - 5

Step-by-step explanation:

The absolute value function always gives a positive result , then

| - 5 | = | 5 | = 5

Thus x = 5, x = - 5

I need help with the question attached above in the picture

Answers

-25 because it looks like we are going up by four so from -5 to -9 , -13, -17, and -21 going up 4 more is -25

What is the area of a parallelogram that has a height of 2 1/2 inches and a base of 7 inches

I need help ASAP

Answers

A=14
Solution A=b h = 7 x 2 = 14

The sum of two numbers is 24. The second number minus the first number equals 2.
Let x represent the first number. Let y represent the second number.

Write a system of equations to represent the situation.
First sentence: First Equation:
Second Sentence: Second Equation:
*Do not include spaces in your equations.
Part 2: Find the numbers. ( , )

Answers

Answer:

(11, 13)

Step-by-step explanation:

First Equation: x+y=24

Second Equation: y=x+2

x + (x + 2) = 24

2x + 2 - 2 = 24 - 2

2x/2 = 22/2

x = 11

y = (11) + 2

y = 13

Therefore, the solution to the system is (11, 13)

A right rectangular prism is 10 inches long, 6 inches wide, 10 inches tall. What are the area and the perimeter of a cross-section that is parallel to the base of the prism?

Answers

the area of a cross section parallel to the base is the base

the base is 4inches by 3 inches

area is 12 square inches

perimeter is 2(L+W)=2(4+3)=2(7)=14 inches

area is 12 square inches

perimeter is 14 inches

daniella made a table and a graph for the equation y=3x did daniella make these items correct select true statement

Answers

Answer:

B

Step-by-step explanation:

if you can see in the graph, the graph axes calculation is not the same with the one given.

Which of the following cannot be solved using nPr?

permutations of the letters of the word "OF"
permutations of the letters of the word "PERMUTATION"
permutations of the letters of the word "THINGS"
permutations of the letters of the word "N"

Answers

Answer:

permutations of the letters of the word "PERMUTATION"

Step-by-step explanation:

The number of permutations of the letters of the word "PERMUTATION" cannot be solved using nPr. The correct answer is B.

What is the permutation?

The permutation is defined as considered an ordered combination.

The following formula computes the permutation of r items from n:

P(n, r) = n! /(n-r)!

here order matters and repetition is not allowed.

Therefore, nPr cannot be used to solve problems that involve repeating items or where order does not matter.

As per the question, the permutations of the letters of the word "OF", "THINGS", and "N" involve distinct letters and no repetition, so they can be solved using nPr.

However, the word "PERMUTATION" has repeated letters.

Therefore, the number of permutations of the letters of the word "PERMUTATION" cannot be solved using nPr because it does not account for repeated items.

Learn more about the permutations here:

https://brainly.com/question/1216161

#SPJ2

To make a jug of plant fertilizer, Malaika uses 6 cups of water and 3 scoops of fertilizer. Bart uses 8 cups of water and 5 scoops of fertilizer. Will Malaika's and Bart's plant fertilizer have the same strength? Explain.

Answers

Answer:

No they will no have the same strength. So what I did was find a common number between them so between 8 and 6 they both can be multiplied to 24. So 6 goes into 24 4 times so I multiplied 3 times 6 and then 8 goes into 24 3 times so I multiplied 3 and 5 and so the final answer is that bart has more strong fertilizer

Step-by-step explanation:

6*4=24 4*3=12

8*3=24  5*3=15

Each year, roughly 10^6 computer programmers each make about $ 10^5.
How much money is this all together? Express your answer both as a power
of 10 and as a dollar amount.

Answers

Answer:

100,000,000,000

Step-by-step explanation:

1 000 000 times 100 000 = 100,000,000,000

In ΔQRS, the measure of ∠S=90°, the measure of ∠Q=83°, and RS = 7 feet. Find the length of SQ to the nearest tenth of a foot.

Answers

Answer:

x ~0.9

Step-by-step explanation:

To solve for (x) in the given right triangle, use the trigonometric ratios, which are the following,

[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]

Each of the sides of a triangle is named with respect to the given angle. In this problem, one is given the side opposite to the given angle, and the side adjacent to it. Use the ratio of tangent (tan) to solve for the unknown side.

[tex]tan(83)=\frac{7}{x}[/tex]

Manipulate the equation so that it is solved for (x),

[tex]x=\frac{7}{tan(83)}[/tex]

x ~ 0.859

A triangle has sides with lengths of 6 miles, 11 miles, and 15 miles. Is it a right triangle?

Answers

Answer:

No

Step by step explanation:

a² + b² = c²

6² + 11² = 15²

36 + 121 = 225

157 =/= 225

Answer:

No

Step-by-step explanation:

15 would be the longest angle or, the angle directly across the right angle

To see if this is a right angle, you'd have to do 11²+6², if it was a right angle, the answer would be 15² which it isn't so, it's not a right angle

Find the Area of the Trapezoid.

Answers

Answer:

18 ft^2

Step-by-step explanation:

Solve for x
x=?
please help real quick!!!

Answers

Answer:

x = 33 degrees

Step-by-step explanation:

To get the value of x, we use the appropriate trigonometric ratio

The side that faces the right angle is the hypotenuse and we have this measure as 25

The side that measures 21 is adjacent to the angle x

So we have to use the trigonometric ratio that connects the hypotenuse and the adjacent

The trigonometric ratio that does this is the cosine

so;

cosine is the ratio of the adjacent to the hypotenuse

So therefore;

cos x = 21/25

x = arc•cos (21/25)

x = 33 degrees

help and I'll give someone brainliest
simplify (a^-2b^2/a^2b^-1)^-3

Answers

Answer:

[tex]\frac{a12}{b3}[/tex]

Step-by-step explanation:

Hope this is right and helps you!

Answer:

a^12/b^9

Step-by-step explanation:

You need to multiply the exponent -3 to every other exponent

So then you would end up with a^6b^-6/a^-6b^3

Now you need to flip the negative exponents to the other side which would be a^12/b^9

Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

-4 x 3/2

Step-by-step explanation:

It will end up being -6 which is less than -4.

Tell me if it is wrong.

Have a nice day!

Answer:

We can use the numbers -4 and [tex]\frac{3}{2}[/tex] to get a product less than -4.

-4 x  [tex]\frac{3}{2}[/tex]  = -6

So, the answer is less than -4.

Please give Brainliest!

Have a great day!

A sample of bacteria is growing at an hourly rate of 6% according to the continuous exponential growth function. The sample began with 5 bacteria. How many bacteria will be in the sample after 22 hours.

Answers

Answer:

18 bacteria

Step-by-step explanation:

The formula for Exponential growth is given as:

y = a (1 + r)^t

a = Initial sample size = 5

y = Sample size after time t

r = Growth rate = 6% = 0.06

t = Time in hours = 22

Hence,

y = 5 (1 + 0.06)²²

y = 5 × 3.6035374165783565

y =18.017687083 bacteria

Approximately = 18 bacteria

Therefore, there would be 18 bacteria in the sample after 22 hours

Just a few more, help??????????

Answers

Answer:

53

Step-by-step explanation:

complementary angle meaning it needs to have the whole sum of 90 degree.

90-37=53

Mrs. Rogers' sister is two years older than Mrs. Rogers. Their combined ages add up to 88. How old is
Mrs. Rogers?

Answers

42 because you take 46 and add 42 it will be 88 and the one sister is still 2 years older

Find a description this equation represents. Of the numbers​ 1, 2,​ 3, 4, and​ 5, which are solutions to the​ equation? 3x-8=7

Answers

Answer:

5

Step-by-step explanation:

3x - 8 = 7

collect like terms

3x = 8 + 7

3x = 15

divide both sides of the equation by 3

x = 15/3 = 5

Find the surface ara of the square pyramid. Enter your answer in the box

Answers

Answer:

341 cm²

Step-by-step explanation:

The base is 11 x 11 = 121

Then there is 4 side that are triangles, 11 x 10 ÷ 2 = 55 ----->  55 x 4 = 220

220 + 121 = 341

Other Questions
What was the purpose of the Northwest Ordinance of 1787?A. It defined the boundaries of reservations for Native Americans.B. It allowed slavery in the Northwest Territory.C. It described how the territories could become states.D. It created colonies with religious governments. Help plz!!No links. A balloon holds 50.0 mL of nitrogen at 25 C and a pressure of 736 mm Hg.According to Boyle's Law, answer the following questions for 2 points each:What will be the effect on the pressure inside the balloon if the volume is decreased to 25 mL?Explain how this would demonstrate Boyle's Law.Explain Boyle's Law in terms of the kinetic energy of molecules.This is a written question No link answers please!!! Which is an implied power of Congress?a.the power to levy and collect taxesb.the power to establish post officesc.the power to have a military draftd.the power to declare war Do you think a school has the right to inform parents that their child is overweight? Explain. Oscar Corporation is planning to construct an elliptical gate at its headquarters. The width of the ellipse will be 5 feet across and its maximum height along the center will be 3 feet. The company wants to place two bright spots at the foci of the ellipse. How far from the center of the ellipse will the spots be located?A. 2 feetB. 4 feetC. 3 feetD. 2.5 feetE. 3.5 feet Q1) Assuming that in a room full of 13 students born in 2000 and 2004 only, calculate the probability that that two persons or more have the same birthday (same day, month and year) knowing that 2000 contains 366 days and 2004 contains 366 days. cual es el abjetivo de despidiendose Which of the following explains the role of fungi and slime molds as pictured in the rainforest food web shown below?Diagram for a rainforest food web. The food web contains the following organisms: jaguar, parrot, python, frog, chimpanzee, fruit bat, insects, banana plant, fungi, and slime molds. The fungi and slime molds are at the bottom of the web and connected to the remaining organisms in the food web. The banana plant is connected to the fungi, slime molds, fruit bat, and insects. The fruit bat is connected to the fungi, slime molds, banana plant, and python. The insects are connected to the fungi, slime molds, banana plant, frog and parrot. The frog is connected to the fungi, slime molds, insects, and parrot. The chimpanzee is connected to the fungi, slime molds, banana plant, and jaguar. The parrot is connected to the fungi, slime molds, frog, jaguar, and python. The python is connected to the fungi, slime molds, the parrot, and the fruit bat. The jaguar is connected to the fungi, slime molds, chimpanzee, and parrot. They are decomposers that break down organic wastes and dead organisms into compounds used by plants for photosynthesis. They are producers that make food by converting water and carbon dioxide into glucose and oxygen, using energy from the Sun. They are autotrophs that use chemicals as an energy source to produce food when sunlight is not available. They are heterotrophs that get their energy by consuming plants, herbivores, and other primary consumers. This year, the price of a Christmas Cactus painting rose to $359. This is an increase of 15% more than last years price. What was the old selling price? I finshed this are the asnwers but are they correct? and no bots with links or i will reportthease are the answers tell me if i am correct1) Justice2) direct democracy3)impeach4)civic virtue5)representative democracy6)municipal7)veto8) electoral college9) suffrage10) popular sovereignty11) budget12) bill13) separation of powers14) naturalization15) rule of law Grensfield, a state in Markova, is struggling to allocate sufficient financial resources to its employee pension funds. To fulfill its obligations to the pensioners of the state, Grensfield needs to raise funds to provide the promised pension benefits. In this case, which of the following actions by Grensfield to raise funds is likely to receive the most support from the public?a. Coupling employee contribution plans with tax exemption benefitsb. Banning all types of labor unionsc. Doing away with employee stock ownership plans (ESOPs) and 401(k) plansd. Requesting extensive employee involvement in defined contribution pension plans which shortcut can we use to make directional heading of a cuboid more obvious while in the lidar view Question 2Which is a plausible solution to human activities contributing to increasing amounts of carbon dioxide in the atmosphere?Use only alternative energies for the production of electricityBRequire all new automobiles manufactured to run on electricity rather than gasoline.Plant more trees and decrease deforestation practices so that more carbon dioxide can be absorbed from the atmosphere.DRequire everybody to use mass transportation or methods of transportation that do not require burning fossil fuels, such as riding bicycles,2021 Illuminate Education Inc. Will mark brainlist PLSSSS HELPPPPP 35 POINTSSS PLSSSS HELPPPPPPP if you would have to do a fictional story and your mom is the main character, What would be the situation in which your main character participates? and What would be the main conflict in your story? I will mark you brainlist!Jason agreed to make 12 payments of $38.50 to buy a new T.V. SO far he has made 8 payment. How much more money does he owe? what shape is sometimes a rhombus a. parallelogram b.rectanglec.squared. trapezoid Upon what does the force of gravity between two objects depend?A. The amount of attraction between the two objects.B. How much each object weighs.C. How close the objects are to each other.D. The mass of the two objects and the distance between them. which rule would you use to test this parallelogram Electromagnetic fields flow in what way?high voltage to low voltagesender to receiverhigh frequency to low frequencynorth to south