M is directly proportional to R cubed a)R = 4, M = 160 find M when R = 2 b) work out the value of R when M=540

Answers

Answer 1

Answer:

a k (proportionality constant) = 2.5

b. r = 6

Step-by-step explanation:

Here, we want to solve a variation

m = k * r^3

160 = k * 4^3

160 = 64k

k = 160/64

k = 2.5

b) secondly;

From;

540 = 2.5 * r^3

r^3 = 216

r = cube root of 216

r = 6


Related Questions

There is a line that includes the point (7,10) and has a slope of 5. What is its equation in point-slope form?

Answers

Answer:

[tex]y-10=5(x-7)[/tex]

Step-by-step explanation:

Point slope form: [tex]y-y_1=m(x-x_1)[/tex] where [tex]m[/tex] is the slope and the given point is [tex](x_1,y_1)[/tex]

Plug in the slope

[tex]y-y_1=5(x-x_1)[/tex]

Plug in the point (7,10)

[tex]y-10=5(x-7)[/tex]

I hope this helps!

a caterer charges a flat delivery fee and cost per sandwich ordered.the expression 5-+4.75x represent the equation.

Answers

Answer:

of a slope on a graph? if so I have the solution

Step-by-step explanation:

Four friends aré baking bread they equally share 3 sticks if butter which expression can he usted yo find then fracción of a stick of butter that each friends uses

Answers

Answer:

Each friend uses 3/4 of a stick of butter

The table shows conversions of pounds to ounces. A 2-column table with 4 rows. Column 1 is labeled Pounds with entries 2, 4, 6, 8. Column 2 is labeled Ounces with entries 32, 64, 96, a. Use the drop-downs to answer the following questions about the data in the table to determine the next value. What is the pattern of ounces as the pounds increase by 2? What is the value for a in the table representing the amount of ounces in 8 pounds?

Answers

Answer:

its 96 hope this helps!

Step-by-step explanation:

it's  96 because 128-(128/8)=96

what does r equal?pls help me

Answers

Answer:

r ≥ -49/11

Simplified versions: r ≥ -4.45 or r ≥ -4 5/11

Answer:  [tex]r \ge -\frac{49}{11}[/tex]

r is greater than or equal to the fraction -49/11

==========================================================

Work Shown:

[tex]r + 5(-2r-10) \le -4r - 1 + 6r\\\\r - 10r - 50 \le -4r - 1 + 6r\\\\-9r - 50 \le 2r - 1\\\\-9r-2r \le - 1 + 50\\\\-11r \le 49\\\\r \ge \frac{49}{-11}\\\\r \ge -\frac{49}{11}\\\\[/tex]

Note how the inequality sign flips. This happens any time you divide both sides by a negative number.

An appliance is for sale at either (a) P15,999 cash or (b) on terms, P1,499 each month for the next 12 months.  Money is 9% compounded monthly.  Which is lower, the cash price or the present value of the installment terms? Explain.​

Answers

Answer:

Cash price

Step-by-step explanation:

The computation is shown below:

The Interest rate per month (r) = (9% ÷ 12) = 0.75%

Now Present value of the monthly payment is

= PMT × {[(1 + rate of interest)^number of years - 1] ÷ rate of interest}

= 1,499 × {[(1 + 0.75%)^12 - 1] ÷ 0.75%}

= 18,748.89

And the cash price is 15,999

So, the cash price would be lower

The cash price would be lower. A further explanation is below.

According to the question,

Interest rate per month,

[tex]r = \frac{9 \ percent}{12}[/tex]

  [tex]= 0.75[/tex] (%)

hence,

The Present value of the monthly payment will be:

= [tex]PMT\times \frac{{(1 + Interest \ rate)^{number \ of \ years} - 1}}{Interest \ rate}[/tex]  

= [tex]1499\times \frac{[(1 + 0.75 \ percent)^{12} - 1] }{0.75 \ percent}[/tex]  

= [tex]18748.89[/tex]

As we can see that the cash price is 15,999. Thus the above answer is right.

 

Learn more:

https://brainly.com/question/4187682

GIVING BRAINLIEST! What is the slope of the negative graph?


Answers

Answer:
-3/2 is the slope of the negative graph
Hoped this helped have an amazing day!

f(x) = x^2. What is g(x)?


please answer quick i’ll give brainliest

Answers

Answer:

-x² - 3

Step-by-step explanation:

If a function is concave down, that means the x value is negative.

Hence we know that it should be -x²

The graph is translated 3 units down

Hence:

-x² - 3

Pls help. I don't understand.

Answers

Answer:

112

Step-by-step explanation:

I took the same test

Answer:

area of trapezium = a+b ×h (a+b = base +base )

2

38+18÷2×16

37×16

=592cm

Help! brainliest stars and hearts if correct! Please Area and perimeter! Please explain!

Answers

Answer:

Perimeter = 14 in

Area = 8 in^2

Step-by-step explanation:

Area = 2x2 + 4x1 = 8 in^2

Perimeter = 2+2+2+2+1+4+1 = 14 in

Answer:

The area is 8 square inches and the perimeter is 16 square inches.

Step-by-step explanation:

First, find the area.

We can find the area of the rectangle at the bottom pretty easily. Since half of the length of the bottom rectangle measures 2 inches, the full length would be 4 inches.

4 ⨯ 1 = 4

So, the area of the bottom rectangle is 4 square inches.

For the square on top, all you have to do is multiply 2 ⨯ 2, because there is no missing length we need to find out.

2 ⨯ 2 = 4

Now, we have to add 4 + 4, because the two quadrilaterals are joined together.

4 + 4 = 8

So, the area of the shape is 8 square inches.

Now, let's find the perimeter. We already know that the bottom rectangle's length is 4 inches, and that the sides are 1 inch tall. The square is 2 inches all around, so, no problems there.

Add the side measurements, not including the 2 inches at the bottom of the square because that side is inside the big shape.

2 + 2 + 2 + 4 + 1 + 4 + 1 = 16

So, the perimeter of the shape is 16 inches.

2. R(1, 1), 5(1,7), Т(5,7), U(5, 1); k =
45
у
о
Help

Answers

(5,7) because when you divide that’s the answer you get

Find the equation of the line shown

Answers

Answer:

x+1

Step-by-step explanation:

The answer for the question would be x+1 hope that helps

Please help me with this

Answers

Answer:

1) 151.29 | 2) 413 km | 3) 75 cm

Step-by-step explanation:

1) 12.3 x 12.3 = 151.29 in

2) 17.5 x 23.6 = 413 km

3) 15 x 5 = 75 cm

140 with the power of 1/8 in radical form

Answers

Answer:

The answer is 8√140.5

Step-by-step explanation:

Someone help and plz make sure it’s right

Answers

Answer:

50

Step-by-step explanation:

all angles must equal to 180

What is the surface area for the figure? PLEASE HELP

Answers

Answer:

516 cm squared

Step-by-step explanation:

To find the surface area of a rectangular prism such as this, is basically just like finding the OUTSIDE surfaces. We are looking for the "perimeter" of a 3D shape.

How do we do it?

Calculate each face of the prism by multiplying Length x Width.Make a shortcut by combining like-figures (front of the cube and back of the cube are the same surface areas, etc.)Make your formula

2(4 · 15) + 2(10 · 15) + 2(12 · 4)

HELP ASAP PLS ME AND MY TEACHER ARE ON A 1 ON 1 CALL

Answers

MIGHT BE WRONG BUT I THINK ITS 5.742Step-by-step explanation:

Plz help.............

Answers

75 ft^2 mark brainly pls xo

Answer:

75 ft

Step-by-step explanation:

10 * 6 = 60

1/2 * 6 * 5 = 15

60 + 15 = 75 ft

7. Find the corresponding angle.

(look at the picture)

Answers

Answer:

angle SXV

Step-by-step explanation:

There were 110 cupcakes at the school bake sale last year. If they sold 70% of the cupcakes, how many cupcakes did they sell?

Answers

Answer:

77%

Step-by-step explanation:

I have to find the value of x

k so I tried, and honestly I'm not sure what I'm doing wrong but I'm not sure how to solve it. If anyone could help that would be lovely :') thank youu​

Answers

Answer:

x = 25

Step-by-step explanation:

A quadrilateral is inscribed in a circle, so it is a cyclic Quadrilateral.

Opposite angles of a cyclic quadrilateral are supplementary.

Therefore,

3x + 21y = 180°.....(1)

2x + 26y = 180°.....(2)

From equations (1) & (2)

3x + 21 y = 2x + 26y

3x - 2y = 26y - 21y

x = 5y

y = 1/5 x

Plug y = 1/5 x in equation (1)

3x + 21*1/5x = 180

15x + 21x = 180*5

(Multiplying both sides by 5)

36x = 900

x = 900/36

x = 25

Which rule describes why these triangles are congruent?

Answers

Answer:

Angle-Side-Angle Postulate

Step-by-step explanation:

The Angle-Side-Angle Postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent

it’d be cool if you could answer at least one of these with work please.

Answers

Answer:

11: 416

Step-by-step explanation:

so the area of the rectangle is 20*16 and you add the triangle's area which is 96. 320+96=416. I am pretty sure that is the answer. ( Sorry if my drawing is bad) :D

help me please. Translate the description below as an algebraic expression:

half the quotient of p and 11 ​

Answers

Answer:

try this

Step-by-step explanation:

1/2 (p/11)

slash is the dividing sign

Answer:

( p ÷ 11) ÷ 2

Or

1/2 (p ÷ 11)

Step-by-step explanation:

Half the quotient of p and 11

"the quotient of p and 11" signifies that you have to divide p by 11. And "half the.." signifies that you have to divide the quotient of p/11 in half

1
Note: Figure is not drawn to scale.
If h = 9 units and r = 6 units, then what is the volume of the cone shown above?
OA. 162 cubic units
ОВ.
1087 cubic units
C. 81 cubic units
OD. 324 cubic units
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0 of 15 Answered
Session Timer: 0:25
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Answers

Answer:

108π

Step-by-step explanation:

1/3 × 9 × π × (6²)

1/3 × 9π6²

(1 × 9π6²) / 3

(6² × 9π) / 3

6² × 3π

36 × 3π

108π

If Ishan scored 789 out of 800 in his exams how much did he score in percentage​

Answers

Answer:

98.6%

Step-by-step explanation:

789/800 multiplication 100% then got the answer

Danny has at least $15 more than his big brother. Danny's brother has 72. How much money does Danny have?

Answers

Answer:

at least 87

[tex] \geqslant 87[/tex]

Step-by-step explanation:

danny has at least $15 more than his brother and his brother has $72 that means Danny has at least 15 + 72(his brothers money) it can be 87 or more than 87

Danny's money is

[tex] \geqslant 87[/tex]

What is the equation in slope-intercept form of the line that passes through the points ( 2, 5) and (6, 8)?

y = 0.75x + 3

y = 0.75x + 3.5

y = 4x + 10

y = 4x - 36

Answers

Answer:

Step-by-step explanation:

albert announces to his mother, he is hungry and asks what is there to eat? she responds, go look in the refrigerator. which factor has the greatest influence on albert's food choice?​

Answers

Answer:

Availability

Step-by-step explanation:

A student is solving the equation
4
(
x

5
)
=

6
x

7
+
2
. Which describes a first step the student could use to solve the equation correctly?

Answers

first option.

you should usually distribute first. 4 times x would be 4x, and 4 times -5 is -20.

Answer:

4(x−5)=−6x−7+2

first step open bracket and add or subtract no.

4x-20=-6x-5

put common in each side

4x+6x=-5+20

10x=15

x=15/10=3/2

first one is your answer

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