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

Determine the center and radius of the following circle equation:
x² + y2 + 20x – 14y + 133 = 0

Answers

Centre ( - 10 , 7 )

Radius -> 4 unit

Based on the statment, below which statement could be used to prove <1=<2?
vertical angles are congruent
supplementary angles are congruent
complementary angles are congruent
two angles that form a linear pair are congruent

Answers

Answer:

Vertical angles are congruent

Solve the following system using substitution:
x - 4y = -1
-3x +8y = -2

Answers

Answer: ( 4, 5/4)

Step-by-step explanation: x = 4, y = 5/4

Line a is parallel to line b if the measure of <7 is 114, what is the measure of <4

Answers

Answer: 66

Step-by-step explanation:

just do this, 180-114= 66 it's not even that hard.

hope this helps.

The table shown below represents a function. Which of the following values could not be used to complete the table?
x
у
-10
-25
-5
5
10
15
20
-20
0-15
0-5

Answers

Answer:

20 -20 0-15 0-5

Step-by-step explanation:

The original graph

X                Y-25             -10-5                 105                   15

Hope this helps you :)

I bought a 5lb bag of sugar. I used 1 2/3 for cookies and 2 3/4 for cake. How much sugar do I have left?

Answers

Answer:

7/12lb

Step-by-step explanation:

5-1 2/3-2 3/4

=5-5/3-11/4

=10/3-11/4

=40/12-33/12

=7/12lb

Answer:

[tex]\frac{7}{12}[/tex]

Step-by-step explanation:

There was an initial amount of 5 lbs.

[tex]1\frac{2}{3}+2\frac{3}{4}=4\frac{5}{12}[/tex]

4 (5/12) of the sugar was used.

[tex]5 - 4\frac{5}{12}=\boxed{\frac{7}{12}}[/tex]

(7/12) of sugar should be remaining.

Hope this helps.

Mi tarjeta de crédito está saturada por lo que tanto recurre un préstamo que cobra el 8% mensual por la cantidad que se solicite me prestaron 3500 cuál es la cantidad de que debo pagar al prestamista en un mes para saldar la deuda

Answers

Answer:

El valor que debes pagar al prestamista en un mes para saldar la deuda es: 3780.

Step-by-step explanation:

Para encontrar el valor que debes pagar en un mes para saldar la deuda, debes calcular el 8% del valor que te prestaron y este sería el monto de los intereses. Después, debes sumarle esta cantidad al valor que te prestaron:

monto del préstamo= 3500

3500*8%=280

3500+280=3780

De acuerdo a esto, la respuesta es que el valor que debes pagar al prestamista en un mes para saldar la deuda es: 3780.

a) The pass marks in an examination is 40%. Rajani secured 295 marks and
failed by 25 marks. Find the full marks of the examination​

Answers

Answer:

320 marks = 40 percent therefore the total marks for the exam= 320+320+160=800 marks.

Step-by-step explanation:

let the full marks be " x "

Rajani has scored 295 marks , if she would had scored 25 more marks then she would had passed the examination,

So, passing marks :

=》295 + 25

=》320

passing percentage ( P% ) :

=》

[tex]40 = \dfrac{passing \: \: marks}{total \: \: marks} \times 100[/tex]

=》

[tex]40 = \dfrac{320}{x} \times 100[/tex]

=》

[tex]x = \dfrac{320 \times 100}{40} [/tex]

=》

[tex]x = 8 \times 100[/tex]

=》

[tex]x = 800[/tex]

So, passing marks = 800 marks

pls helppp i need helppp

Answers

Answer:

square - quad with four right angles and four congruent sides

rectangle - quad with four right angles

parallelogram - quad with two pairs of parallel sides

rhombus - quad with four congruent sides

trapezoid - quad with one set of parallel sides

show all steps solving 6x^2+x=5

Answers

6x^2 + x-5=0
6x^2 + 6x-5x-5=0
6x(x+1)-5(x+1)=0
(x+1)(6x-5)=0
x= - 1 5/6

Answer:

explain abit about it

please l don't understand

Hey can you help me fast!!

Answers

the answer is 30 it’s simple if you divide it into boxes :)

I need help on this math problem

Answers

Answer:

x+66+55=180(being sum of the angle of triangle=180degree

x=180-121

therefore, x=59

plz give me thanks

Answer:

All triangles have angles that add up 180 degrees.

So Angle x = 180 - 55 -66

which equals 59 degrees.

Step-by-step explanation:

Will mark brainliest

Answers

Answer: A) multiply the input by 6.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

12÷2=6

36÷6=6

48÷8=6

54÷9=6

72÷12=6

so that means you have to multiply the input by 6.

One of the legs of a right triangle measures 8 cm and the other leg measures 12 cm.
Find the measure of the hypotenuse. If necessary, round to the nearest tenth.

Answers

Answer: 14.4

Step-by-step explanation:

whats the number of outcomes?

Answers

Answer:

Chocolate andstrawberry

Serena's rabbit weighs 3 1/2 pounds. Jarod's rabbit weighs 3 times as much as Serena's rabbit. How much does Jarod's rabbit weigh?

Answers

The answer would be Jarod’s rabbit weights 10.5 pounds

Someone answer this please

Answers

Answer:

-23/6=y

Step-by-step explanation:

3x-6y=11

3*-4-6y=11

-12-6y=11

y=-23/6

to make a sports drink for a football team, jaylen filled 9/10 of a large cooler with water. then he filled the remaning space with 6 cups of sports drink concentrate.
How many gallons of sports drink did Jaylen make?

Answers

Hello!

Assuming that we are using U.S. terms, there are sixteen cups in a gallon.

We can assume that there are six cups per tenth of the cooler. Our first job is to multiply 6 times 10 to get the amount of cups of sports drink.

6 · 10 = 60.

Now we need to find out how many gallons of sports drinks there are. To find how many cups go into a gallon, we divided 60 by 16.

60 ÷ 16 = 3.75

So, for our final answer,

Jaylen made 3.75 gallons of sports drink. (3 [tex]\frac{3}{4}[/tex])

waffletowne

help please ill give brainliest answer

Answers

Answer:

ΔLMN ≅ ΔLQP by (SAA)

Step-by-step explanation:

It is given that line (NM) is congruent to the line (PQ), meaning they have the same measure. This is signified by the small red line on each of these sides.

Moreover, it is also given that angle (MNL) is congruent to angle (QPL), this is shown by the red arc around these angles.

Finally one can figure out that angle (NLM) is congruent to angle (PLQ) by the vertical angles theorem. The verticle angles theorem states that when two lines intersect, the opposite angles are congruent.

Thus the two triangles are congruent by side-angle-angle postulate, abbreviated as (SAA).

an athlete did one round around a circle of radius 42m.what is the total distance covered by him

Answers

Answer:

2 * pi * 42 meters

Step-by-step explanation:

One round means a parameter of the circle

The tax rate at this restaurant is 9.5%.




Marc’s sales tax is $1.61. How much was his subtotal?

Answers

Answer:

I don't know, I'm just doing this to get points. lol

Step-by-step explanation:

haha

P(x)=x^3-3x^2-4x+12; x+2
Using factor theorem

Answers

Answer:

The groups have no common factor and can not be added up to form a multiplication.

The swimming pool shown is a right prism with concave hexagonal bases.... pls help

Answers

3 bottom sections:

10 x 20 = 200

5x 20 = 100

10 x 20 = 200

Bottom area = 200 + 200 + 100 = 500 square feet.

Short side: 3 x 20 = 60

Deep end wall : 6 x 20 = 120

Side wall : (24 x6) - (10x3) - (1/2 x 4x3) = 144-30-6 = 108

2 side walls: 108 x 2 = 216

Total area : 500 + 216 + 60 + 120 = 896 square feet

Divide total area by area of 1 gallon:

896/400 = 2.24 gallons

It will take 2.24 gallons of paint

HELP PLEASE ANSWER I NEED HELP

Answers

Answer:

x=30

Step-by-step explanation:

x/5-16=-10

x/5=-10+16

x/5=6

x=6×5

x=30

What is the perimeter of a square with a length of 13cm and a base of 13cm???

Please Help I Need This By Tomorrow!

Answers

13+13+13+13=52
Answer=52cm^2

Please help me with this question it contains angles and measurements

Answers

Answer:

m∠ONP = 43*

m∠LNO = 137*

m∠MNP = 137*

Step-by-step explanation:

Each line segment is a straight line meaning they are each worth 180°, so if you take 43° from 180° you're eft with 137° which is what ∠LNO and ∠MNP are equal to. ∠ONP is 43° since it is a vertical angle to ∠MNL which is also 43°.

See photo hope it helps

Use a graphing calculator to approximate the vertex of the graph of the parabola defined by the following equation.
y = negative 2 x squared + 7 x + 4
a.
( 1.75, -2.125)
c.
( 1.75, 10.125)
b.
( 1.75, 4)
d.
( -1.75, 10.125)

Answers

Given:

The equation of a parabola is:

[tex]y=-2x^2+7x+4[/tex]

To find:

The vertex of the graph of the given equation by using a graphing calculator.

Solution:

We have,

[tex]y=-2x^2+7x+4[/tex]

By using the graphing calculator, draw the graph of the given equation as shown below.

From the below graph it is clear that the function is maximum at point (1.75,10.125).

So, the vertex of the given equation is (1.75,10.125).

Therefore, the correct option is c.

Simplify: 2-7c+12+4c-6

Answers

Answer:

-3c + 8

Step-by-step explanation:

2 - 7c + 12 + 4c - 6

Arrange by like terms.

-7c + 4c + 12 + 2 - 6

Combine terms.

-3c + 12 + 2 - 6

Simplify.

-3c + 8

Answer:

[tex]8 - 3c[/tex]

Step-by-step explanation:

1) Collect like terms.

[tex](2 + 12 - 6) + ( - 7c + 4c)[/tex]

2) Simplify.

[tex]8 - 3c[/tex]

hence, the answer is 8 - 3c.

Evaluate |─8| + |2|.

Answers

Answer:

10

Step-by-step explanation:

|-8| = 8

Answer:

10

Step-by-step explanation:

The absolute value is never negative and is shown by the vertical line.

|-8|=8 and |2|=2.

8+2=10

Divide. (x^3 – 2x – 3) ÷ (x + 3)

Answers

x

2

3

x

+

7

24

x

+

3

Step-by-step explanation: brainly plz

Answer:

[tex] = \frac{({x}^{3} - 2x - 3)}{(x + 3)} \\ rationalise \: the \: denominator \\ = \frac{({x}^{3} - 2x - 3)(x - 3)}{(x + 3)(x - 3)} \\ = \frac{( {x}^{4 } - 3 {x}^{3} - {2x}^{2} + 6x - 3x + 9) }{( {x}^{2} - {3}^{2}) } \\ = \frac{( {x}^{4} - {3x}^{3} - {2x}^{2} + 3x + 9)}{( {x}^{2} - 9) } [/tex]

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