Given that r varies directly as t^3, and r=54 when t=3. Find t when r=250

Answers

Answer 1

Answer:

t = 5

Step-by-step explanation:

Given r varies directly as t³ then the equation relating them is

r = kt³ ← k is the constant of variation

To find k use the condition r = 54 when t = 3 , then

54 = k × 3³ = 27k ( divide both sides by 27 )

2 = k

r = 2t³ ← equation of variation

When r = 250 , then

250 = 2t³ ( divide both sides by 2 )

125 = t³ ( take cube root of both sides )

[tex]\sqrt[3]{125}[/tex] = t , that is

t = 5


Related Questions

how many groups of 6 are in 95?

Answers

Answer:

15

Step-by-step explanation:

It does not divide evenly, but there are 15 groups of 6 in 95.

The dimensions of a rectangular prism are 3 cm, 15 cm, and k cm. Its volume is
90 cm. Find the value of k.

Answers

Answer:

k = 2 cm

Step-by-step explanation:

3 x 15 x k = 90 cm^3

45 x k = 90 cm^3

k = 90/45 = 2 cm

FInd the value of T - triangle measerments

Answers

JK=JH

[tex]\\ \sf\longmapsto 10t=7t+15[/tex]

[tex]\\ \sf\longmapsto 10t-7t=15[/tex]

[tex]\\ \sf\longmapsto 3t=15[/tex]

[tex]\\ \sf\longmapsto t=15/3=5[/tex]

please help solve for RN

Answers

Answer:

I guess...

Step-by-step explanation:

Since QR and PN are parallels, I think what happens in MN and MP is proportional, so:

RN = x

8 is to 10 as

5 is to x

8 * x = 5 * 10

8x = 50

x = 50 / 8

x = 6.25

RN = 6.25

HELP!!
Lenor and Juan go to school together after leaving school Lenor drove 12 miles to get to his house and Juan drove 35 mile
get to his house. Based on the picture below what is the shortest distance from Lenor's house to Juan's house. (show your
for full credit)
a= distance Lenor drove
Lenor
b distance Juan drove
c=distance between
Lenor and Juan
Juan

Answers

Hhhhhhhhhhhhh
Gc he cry x.

How can you use factoring to solve quadratic equations in standard form?

Answers

Step-by-step explanation:

The roots or the zeroes of a quadratic equation are its x-intercepts, which are the points on the graph where it crosses the x-axis. When a quadratic equation is in standard form, ax² + bx + c, the usual goal is to find the binomial factors that could help us determine the roots or solutions to the given equation.  Once you find the factors, then you will use the Zero-Product Property to solve for the solutions.  

For example, if you were given the following quadratic equation in standard form, x² + 6x + 8 = 0, and were tasked to find its factors.

x² + 6x + 8 = 0

where a = 1, b = 6, and c = 8:

In order to find the factors of the given quadratic equation, we must find the  factors with a product ac, and sum b.  

Using 2 and 4 as possible factors produce a product that is equal to

product of ac:   2 × 4 = 8

sum of b:           2 + 4 = 6.

Therefore, the factors of the given quadratic equation, x² + 6x + 8 = 0 are:

(x + 2) (x + 4).

Using the Zero-Product Property, where it states that for any real numbers, u and v, if uv = 0, then u = 0 or v = 0.  

Thus, setting the binomial factors of the given quadratic equation to zero will provide the solutions.

(x + 2) (x + 4)

x + 2 = 0

x + 2 - 2 = 0 - 2

x = -2

x + 4 = 0

x + 4 - 4 = 0 - 4

x = -4

Therefore, the solutions to the quadratic equation, x² + 6x + 8 = 0 are x = -2, and x = -4.

64t-16t^2>28 how do i solve this?

Answers

Answer:

0.5 < t < 3.5

Step-by-step explanation:

[Given] 64t-16t^2>28

[Rewrite] 64t - 16t² > 28

[Subtract 28 from both sides] 64t - 16t² - 28 > 0

[Reorder] - 16t² + 64t - 28 > 0

[Solve Using The Quadratic Formula] 0.5 < t < 3.5

Have a nice day!

  I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Write the equation of the line with x-intercept 3 and passing through the point (5.4)

Answers

Answer: y=(1/5)m+3

Step-by-step explanation:

Start with the standard form of an equation of a straight line:  y=mx+b, whre m is the slope and b the y-intercept (the value of y when x=0).

y=mx+b

We know b (3), so:

y=mx + 3

To find the slope, m, we can use the one given point, (5,4):

y=mx + 3 for (5,4) would be:

4 = m*5+3

1 = 5m

m = (1/5)

y=(1/5)m+3

what’s the answer this is due tomorrow help asap

Answers

Answer : Quadrilateral

Quadrilateral and Rhombus

Where ia the function decreasing?

Answers

Answer:

The function is decreasing for x > -1

Step-by-step explanation:

a 4-pack of frozen waffles costs 2.67 what is the unit price rounded to nearest cent?

Answers

Answer:

2.67 is the answer

Step-by-step explanation:

tell me if i am rong

factorize ax^2 + bx by using identities

Answers

Answer:

ax^2+bx=x(ax+b)

Please mark as brainliest

Step-by-step explanation:

Will give brainliest, need assistance ASAP!

Answers

C! (i’m not 100% sure but i think it’s right!) ❤️

Second derivative of -2x^2+2/(x^2+1)^2

Answers

Answer:

\frac{-2x^2+2}{x^4+2x^2+1}

2x^2+2

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

x^4+2x^2+1

Find the domain and range of the following function f(x) = 51x - 21 + 4
Domain. [4,8) Range: (-00,00)
Domain. (4,00) Range: (-00,00)
Domain (-00,00) Range [4,00)
Domain. (-00,00) Range: (4,00)

Answers

Answer:

my gosh, hirap kaya niyan, pareho lang ta u d alam sagot

If the circumference of full circle is equal to 2 cm, find the length of the arc of the composing semicircle

Answers

Answer:

it is 1 cm because semi means half

Write the inequality.
The sum of negative 3 and a number is no more than two

Answers

Answer: -3+x<2

Step-by-step explanation: can't be greater than 2.

Question 7 50 points


Is there enough information to prove that the triangles are congruent?


If yes, provide the correct Triangle Congruence Postulate or Theorem and a congruence statement.


If no, justify your answer.

Answers

Answer:

1f 2×4 -3׳ 12k is divided by × - 3 the remainder is 21 find the value of k

HELP WILL GIVE THE MOST POINTS IT LETS ME NEED ANSWER SOON

Answers

Answer:

c. -5x - 2 = -42

Step-by-step explanation:

Have a nice day! :-)

Answer:

-5x-2 = -42

Step-by-step explanation:

less than means you do this after what comes next

Product of a number and -5

-5x

Two less than

-5x -2

is means equals

-5x-2 = -42

Theres a 4 at the bottom but i couldn't get it in

Answers

Answer:

See answer below.

Step-by-step explanation:

1. Start at point (0,0), This point is where the x-y-axis meet.  Do not put a dot

   there because this is your starting point.

2.  Move to the left over to point -1 3/4 . This place is between -1 and -2, and

     closer to -2 because the point is -1 .75.  Remember this point is not on the

     graph.  

3.  Now move up from that point to 4.5 and put a dot at that place.  The point is in the Q II ,  to the left top.  

What’s x? ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ 

Answers

Answer:

I pretty sure it is F.1cm

please help for my math i rlly need it ill give big points and brainliest

Answers

Answer:

a) x2 = 10

b) x2 − 40 = 0

c) 3x2 − 600 = 0

d) x2 + 12 = 0

Answer:

[tex]\frac{6(2a-4c)-6(6a-4b)+3(4b-8c)}{4} \\[/tex]

[tex]\frac{12a-24c-36a+24b+12b-24c}{4}[/tex]

[tex]\frac{12a-36a+24b+12b-24c-24c}{4}[/tex]

[tex]\frac{-24a+36b-48c}{4}[/tex]

[tex]-6a+9b-12c[/tex]

[tex]-3(2a-3b+4c)[/tex]

So,

[tex]-3(2a-3b+4c)=X(2a+Yb+Zc)[/tex]

X = (-3)

Y = (-3)

Z = 4

Hope this helps you.

Let me know if you have any other questions :-)

A box of cereal states that there are 84 calories in a 3/4
​-cup serving. What is the unit rate for calories per​ cup?

Answers

answer: 112 cals per cup.
explanation: first you do 84 cals divided by 3= 28 . you want to multiply 28 by 4 to equal a cup. 28x4=112 .

Answer:

It is 112 calories per cup of cereal.

Step-by-step explanation:

multiply 3/4 by 4 and youll get 3 and them multiple 84 by 4 and you'll get 336. Divide 336 by 3 and youll get your answer.

1/5 cup of flour is used to make 4 cookies. How many cups of flour are needed to make 7 dozen cookies. (Need answer asap please)

Answers

7x12 is 84 cuz 12 is a dozen so then84/4 is 21 then times 1/5 is 4.2

ABCD is a parallelogram and X and Y are any point on CD and AD respectively. Prove that triangle AXB and triangle BYC are equal in area. Prove that​

Answers

Answer:

See answer below

Step-by-step explanation:

ABCD is a parallelogram                     Given

BC ≅ AD; AB ≅ DC                             opposite sides of a parallelogram ≅

Δ AXB = 1/2 (AB)(AD)                           Formula for the area of a Δ

Δ BYC = 1/2 (BC) (DC)                           Formula for the area of a Δ

1/2 (AB)(AD)= 1/2(BC)(DC)                      Substitution

∴ Area of Δ AXB = Area of ΔBYC

Which equation represents a line which is parallel to the line y = -5/8x + 6?

A) 8x + 5y = 10
B) 8x - 5y = 15
C) 8y - 5x = -24
D) 5x + 8y = 32

Answers

Step-by-step explanation:

y = -5x/8 + 6

8y = 8 × (-5x/8 + 6)

8y = -5x + 42

5x + 8y = 42

5x + 8y = K, k element real

Option → D

The equation for parallel line is 5x + 8y = 32.

The correct option is (D).

What is slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

Equation: y = -5/8x + 6

Now, the parallel line to above equation must have the slope same as the given equation i.e., -5/8.

Then, writing the equation in slope intercept form

A) 8x + 5y = 10

5y= 10 - 8x

y= 10/5 - 8x/5

y= -8/5x + 2

B) 8x - 5y = 15

-5y= 15 - 8x

y= 8/5 x + 3

C) 8y - 5x = -24

8y= -24 + 5x

y= -24/8 +5/8x

y= +5/8x - 3

D) 5x + 8y = 32

8y= 32 -5x

y= -5/8x + 4

Hence, the equation for parallel line is 5x + 8y = 32.

Learn more about Slope here:

https://brainly.com/question/3605446

#SPJ2

In kick boxing, the force needed to break a board varies inversely with the length of the board.If it takes 5 pounds of pressure to break a board 2 feet long, how many pounds of pressure will it take to break a board that is 8feet long?

Answers

Answer:

Step-by-step explanation:

By taking k as constant:

P = k/L (where P is pressure, and L is length)

5 = k/2

k = 10

Therefore:

P = 10 / L

P = 10/ 8

P = 1.25 Pounds.

Loại ngôn ngữ lập trình được đông đảo người lập trình lựa chọn là?

Answers

Answer:

JavaScript

Step-by-step explanation: Đó là lý do JavaScript nên đứng đầu tiên trong danh sách ngôn ngữ lập trình thích hợp cho người mới bắt đầu. Theo khảo sát mới nhất trên Stack Overflow – “phao cứu sinh” của developer, JavaScript là ngôn ngữ phổ biến nhất được sử dụng rộng rãi trong vòng 8 năm qua

On an airplane the passengers may have chicken vegetable or tomato soup

Half of the passengers choose the Chicken soup

A third of the passengers choose tomato soup

What fraction of the passengers chose soup?

There are 240 passengers on the airplane

How many passengers chose vegetable soup?

Answers

5/6
40
1/2 + 1/3 = 5/6
120 chose chicken and 80 chose tomato. So 40 chose vegetable

Identify the vertex of the parabola represented by the equation y=−2x2+8x−1.


(−4, −65)

(4, −1)

(2, 7)

(−2, −25)

Answers

Answer:

it is correct but -65 is not correct

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