The mass of a cube, M (kg), is proportional to the cube of the length of its edge, L(m). The mass of the cube is 80 kg when the length of its edge is 35 cm. Work out M (to 2 DP) when L=0.3 m

Answers

Answer 1

Answer:

M=K*L

(K is the constant we use)

when L=35cm, M=80,

meaning K=80/0.35=228.571428571

so when L=0.3

we do 0.3*228.571428571=68.5714285713

rounded to 2dp= 68.57kg

Answer 2

9514 1404 393

Answer:

  50.38 kg

Step-by-step explanation:

The mass is proportional to the cube of edge length, So, if the edge length is decreased by a factor of 30/35 = 6/7, the mass is decreased by a factor of (6/7)³. That is, the smaller cube will have a mass of ...

  (80 kg)(6/7)³ ≈ 50.38 kg

__

If you want to write an equation, you can write the equation for the proportionality:

  M = kL³

  80 kg = k(0.35 m)³

  k = 80/0.35³ kg/m³

Then for the shorter length, we have ...

  M = k(0.3 m)³ = 80(0.3/0.35)³ kg = 80(6/7)³ kg ≈ 50.38 kg . . . . as above


Related Questions

I WILL MARK BRAINIEST

Answers

Answer:

Angle X=30°

2x=60°

Step-by-step explanation:

X+2X=90°

3x=90°

X=90/3

X=30°

Angle X=30°

2x=60°

Which of the following choices will simplify (8 − 5)2 + 18/3+ 4 ?
19
13
22
None of these choices are correct.

Answers

Answer:

None of these choices are correct.

I have solved u can have a look :)

Answer:

(8-5)²+18/3+4

(3)²+6+4

9+6+4= 19

Follow P.E.M.D.A.S

Start with parenthesis first

(8-5) =3

second step exponents

3² = 9

Third step Division

3÷18 = 6

last step add all the numbers

9+6+4 = 19

19 is your answer!!!

Use a calculator, spreadsheet, or another tool to solve for the unknown sides of the given right triangle. The length of the hypotenuse is 12. a is the length of the side opposite the 10 degree angle and b is the length of the opposite angle B. Round your answers to four decimal places.

Answers

Answer:

27

Step-by-step explanation:

2 TIMES 3

The length of the side a and b is 2.0837 and 11.8176 respectively.

Length of side a and b to be determine, hypotenuse is 12 and a is the length of the side opposite the 10 degree angle and b is the length of the opposite angle B.

What is trigonometry?

Trigonometry is branch of mathematics that helps in elevation and angle problems.

Let assume that one angle of triangle is right angle.
So in right angles triangle,
hypotenuse = 12
cos10 =  length of b /12
length of b = 12 cos10
length of b = 11.8176

Now,
sin 10 =length of a/ 12
length of a = 12 sin10
length of a = 2.0837

Thus, the length of the side a and b is 2.0837 and 11.8176 respectively.

Learn more about trigonometry here:
https://brainly.com/question/26719838

#SPJ2

(2.3x10^4) x ( 1.5x 10^-2

Answers

Answer: 345

Hope it helped!

Answer is : 345




You welcome :)



What is one characteristic of the cosine function? It is an odd function. It has a period equal to π. Its graph is symmetric about the y-axis. Its domain is between –1 and 1 and is inclusive.

Answers

Answer:

D) its domain is between -1 and 1

Step-by-step explanation:

cos is actually an even function, and it has a period of 2π.

Sine has a graph symmetric about the y-axis, not cosine.

Answer:

C.  Its graph is symmetric about the y-axis.

Step-by-step explanation:

If you graph on desmos it shows that it is symmetric about the y-axis :)

Yuto found a backpack on sale for 70 percent off. He used a coupon for an additional 10 percent off. If the original price of the backpack was $55, what is the final price of the backpack before taxes?
$11.00
$14.85
$34.65
$44.00

Answers

Answer:

14.85

Step-by-step explanation:

Answer:

14.85

Step-by-step explanation:

Or B for everyone else

Cara can ride her bike 6 miles in 24 minutes. Which ratio shows the number of miles to minutes Cara can ride her bike?

Answers

Answer:

1:4

Step-by-step explanation:

24/2=12

6/2=3

12/3=4

3/3=1

So the ratio is 1:4

What is the distance of line segment AD given the following points, A = -7, B = 5, C = 8, and D = 14?

Answers

Answer:

21

Step-by-step explanation:

Since exact coordinates aren't given, you would have to think of the two points on a number line. The distance from the two points on a number line would be 21. You could also add the absolute values of the two points together. This would basically turn -7 into a positive, and then when the absolute values are added(7 + 14), you would get 21.

Dallas was told to run around the perimeter of the high
school as a warm-up for football practice. What is the
total distance that Dallas will run?
148 yards
166 yards
196 yards
256 yards

Answers

Answer:

Option (4)

Step-by-step explanation:

Perimeter of a polygon is the sum of measures of all sides of the polygon.

From the picture attached,

Distance run by Dallas = Perimeter of the ground

                                      = 48 + 50 + 9 + 30 + 30 + 30 + 9 + 50

                                      = 256 yards

Total warm up run by Dallas = 256 yards

Therefore, Option (4) will be the correct option.  

Answer:

b

Step-by-step explanation:

got it right on edge

f(x) = 3x +5
Find f(-4)

Answers

Answer:

f(-4) = -7

General Formulas and Concepts:

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

f(x) = 3x + 5

f(-4) is x = -4

Step 2: Solve

Substitute:                    f(-4) = 3(-4) + 5Multiply:                        f(-4) = -12 + 5Add:                              f(-4) = -7

x = 4y + 7
+
What is the answer to the question

Answers

well if you’re looking for y then
x=4y + 7
-4y
x-4y=7
-x. -x
-4y=-x+7
_______
-4. -4. -4
y= 4x - 7/4
i’m pretty sure :)
Y= (x / 4) - ( 7 / 4).

Select the point that satisfies ys x2 - 4x + 2.
O A. (2, 2)
O B. (1,1)
C. (5,5)
O D. (4,4)

Answers

Answer:

A

Step-by-step explanation:

PICTURE PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

Step-by-step explanation:

Because WY⊥YZ and WY⊥WV ⇒ WV║YZ ⇒ ∠YZX ≅ ∠WVX ⇒ ΔXWV ~ ΔXYZ (AAA similarity theorem)

HELPPPPP ASAAPPPP PLEASEEEEEE

Answers

Answer:

Step-by-step explanation:

The standard form equation is y = mx + k where m is the slope and k is the y-intercept.

In this problem, it is first asking you for the slope of y = 2x + k. Therefore, the slope would be 2. In the next blank, it is asking for the slope of y = -1/2x + k. In that case, it would have a slope of -1/2.

When you multiply these slopes together, you'll notice that the you'll get -1. Whenever the slopes of 2 equations multiplied together is equal to -1, then those 2 equations are perpendicular to each other.

Finally, it is asking if the statement that says the lines are perpendicular is true. Like mentioned above, because the slopes multiply to -1, they are perpendicular equations making the statement always true.

Answers: 2, -1/2, -1, always.

How do you evaluate 7!

Answers

7! Means 7x6x5x4x3x2x1. This means the answer is 5040

Step-by-step explanation:

Nothing further can be done with this topic. Please check the expression entered or try another topic.

HELP ME PLEASEEEEEEEEEEEEEEEEEEEE

Answers

Answer:AHope this helps!!

Can somebody help me and answer this I’ll give u thanks if ur right here’s the picture

Answers

Answer:

H

Step-by-step explanation:

The additive inverse property states that x-x=0, or x+(-x). The property that represents this is H.

Hope this helps plz mark brainliest :D

Who is life insurance best suited for?
A. College students
B. Children
C. People with debt
D. Doctors
SUBMIT

Answers

I believe the answer is A college students sorry if I am wrong but it’s most likely probably gonna be A hope this helped!!!!

Answer:

People with dependents

Step-by-step explanation:

AP3X

WILL MARK AS BRAINLIEST!!!!!

Answers

the answer is Y=2x+1 :)

Please help me solve this! x^2-4x-21 as a product of binomial factors

Answers

Answer:

( x-7) (x+3)

Step-by-step explanation:multiply to -21 and add to -4

-7 * 3 = -21

-7+3 = -4

( x-7) (x+3)

1 Look at the example above. Use partial
products to multiply 35 X 12. Fill in the blanks.
3 5
X 12
1 0
ones X
ones
2
X 3
5 0
ten X 5
+
ten X 3
4 2 O

Answers

The answer is 420 I guess your doing lattice multiplication so yeah

Which of the following values are solutions to the inequality 1 < 4x-3

Answers

Answer:

x>1 (inequality form)

(1,∞)

Step-by-step explanation:

Hope this helped :)

A number less than 85 has 26 and 6 as a factor what is my number

Answers

First, write out the multiples of 6 and 26. Then find the common multiple they share that is immediately less than 85. (I do 26 first since it will have less multiple and it will give me an idea of what to look for within the multiples for 6)

26: 26, 52, 78 (anything more will be over 85 and we need a number less than 85)

6: 6, 12, 18, 24, 30, 36, 42, 48, 56, 72, 78 (I stopped at 78 since any number after this will be larger than 85)

I now look to find the multiple that both 26 & 6 shares that is also less than 85 and it landed me on the number 78!

The Answer: 78

Hope this helps!

Can someone help me with this math problem. The slope is 15 and the y-intercept is 10

Answers

Answer:

The equation of the line is y = 15x + 10. You can use Desmos to graph it.

Step-by-step explanation:

What if you had two types of grape drink, one with 5% real fruit juice and another with 10% real fruit juice? Suppose you wanted a gallon of grape drink with 6% real fruit juice. How much of the 5% drink and how much of the 10% drink should you mix together to produce it?​

Answers

Answer: 10.20(20−n)+6.8nNow solve for n:204−10.20n+6.8n204−3.4n−3.4nn=170=0170Distributive Property=170Add like terms.=−34 Subtract 204.=10 Divide by −3.4.

Since n=10, we can plug that into m+n=20.

m+10=20⇒m=10.

The coffee company needs to use 10 pounds of each type of coffee in order to have a 20 pound mixture that costs $8.50 per pound.

Step-by-step explanation: this might be wrote 3 times

$24,000 for new Honda, 2.75% interest rate for 4 years. What is the monthly payment? ( Explanation needed)

Answers

2.75/100=0.0275
= 24000 x ( 1 + 0.0275 ) ^ 4= 26750.91
26750.91 - 24000 = 2750.90
i’m sorry if it’s wrong

Answer:

(Use the attached formula)

24,000 for 4 years (48 months) at 2.75% interest

We divide rate by 1,200 which equals 0.0022916667

Monthly Payment = 0.0022916667 + {(0.0022916667 / [(1.0022916667)^48 -1]} * 24,000

Monthly Payment = 0.0022916667 + (0.0022916667 /  (1.1161375981  -1) * 24,000

Monthly Payment = [0.0022916667 + (0.0022916667 /  0.1161375981 ] * 24,000

Monthly Payment = [0.0022916667 +  0.0197323411 ] *24,000

Monthly Payment = 0.0220240078  * 24,000

Monthly Payment = 528.5761872  = 528.58 (rounded)

Step-by-step explanation:

PLEASE HELP ASAP!!!!

Write the slope-intercept form of the equation of each line. Identify the slopes y-intercept

Answers

Answer:

19) slope=2  y-intercept is 1   equation is y=2x+1

20) slope=-4  y-intercept is 4   equation is y=-4x+4

21) slope=-1/3  y-intercept is -5   equation is y=-1/3x-5

22) slope=-2/3  y-intercept is -5   equation is y=-2/3x-5

23) slope=-8  y-intercept is is -4   equation is y=-8x-4

24) slope=5  y-intercept is -3   equation is y=5x-3

Step-by-step explanation:

hope this helps :3

if it did pls mark brainliest

How many times greater is the value of digit 1 in 21,648 than in 32,163?

Answers

Answer:

squirrel

Step-by-step explanation:

squirrel

Answer:

10

Step-by-step explanation:

hurry please
factory the polynomial by grouping

2x^2+ 5x + 10x + 25

Answers

Your answer would be 2x^2+15x+25

Mrs.Rodriquez is purchasing trophies for each child that plays little league she wants to spend no more than $7.00 per thropy ​

Answers

Answer:

7 trophies for $49.00

5 trophies for $30.00

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

Explination:

It says that she wants to pay no more than 7 dollars for each trophy she buys, which means 7 and less. So we have to multiply 7 x the number of trophies, And if it gives you the excact number or less its correct.

So we multiply

7 x 7 = 49 (The excact number, correct)

9 x 7 = 63 (The price they are selling it at is higher, incorrect)

12 x 7 = 84 (The price they are selling it at is higher, incorrect)

5 x 7 = 35 (Paying less, Correct)

3 x 7 (The price they are selling it at is higher, incorrect)

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

Its really easy if you put your mind into it! Goodluck <3

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