1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
andrey2020 [161]
3 years ago
7

The mass, m, of an object varies directly as the cube of its length, I.

Mathematics
2 answers:
steposvetlana [31]3 years ago
6 0

Answer:

m = 686.

Step-by-step explanation:

Direct variation :

m= kl^3 where k is a constant.

m = 250 when l = 5, so

250 = k *(5)^3

k = 250 / 125 = 2

So the equation of variation is m = 2l^3.

When l = 7:

m = 2 * (7)*3

= 2 * 343

= 686.

viva [34]3 years ago
4 0

Answer: 350

Step-by-step explanation:

m = kl (1)

Let 'k' be the constant of proportionality

When, m = 250

l = 5

inputting the values into equation (1)

250 = k5

dividing both sides by 5

250/5 = k5/5

50 = k

To find m, when l =7,

Given m = kl

where k = 50 and l = 7

m = 50 x 7

m = 350

You might be interested in
SELECT ALL of the Angles that are supplementary to Angle 7<br> **NO LINKS**
sergejj [24]

Answer:

The angles are 6,4,8and2 hope this helps

5 0
3 years ago
Please help!!!!
DochEvi [55]

Answer:

256h28k8

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Which of the following is the interest on $6000 at 6% compounded semiannually for eight years?
ryzh [129]

Answer:

$3628.24

Step-by-step explanation:

we use the formula for accrued value (A) with compounded interest:

A=P(1+\frac{r}{n})^{n*t}

where A= accrued value (principal plus the accumulated  interest)

P = principal -> in our case $6000

r = annual interest rate (in decimal form) -> in our case 0.06

n = number of compoundings per year. In our case 2 (semiannually)

t = time in years -> in our case 8

A=P(1+\frac{r}{n})^{n*t}\\A = 6000(1+\frac{0.06}{2})^{16}\\ A= 6000(1+0.03)^{16}\\A = $9628.24

Since this is the value of principal plus accumulated interest, we subtract from it the principal ($6000) to get the value of just the interest:

$9628.24 - $6000 = $3628.24

4 0
3 years ago
The point slope of a line that has a slope of -2 and passes through point (5,-2) is shown below. Which equation is in slope inte
kramer
Y + 2 = -2(x - 5)

Simplify.

y + 2 = -2x + 10

Subtract 2 from both sides.

y = -2x + 10 - 2

Simplify.

y = -2x + 8 → Slope-intercept form

Our answer is the second option : y=-2x+8

~Hope I helped!~
 

7 0
3 years ago
Read 2 more answers
Each of three coins has two sides, heads and tails. Represent the heads or tails status of each coin by a logical variable (A fo
jeka94

Answer:

(a) F(A, B, C) = AB'C' + A'BC' + A'B'C

(b) F(A, B, C) = (A' + B' + C')(A' + B + C)(A + B' + C)(A + B + C')(A + B + C)

Step-by-step explanation:

(a) If F(A, B, C) = 1 iff exactly one of the coins is heads, then either

A is heads and the others are tails (AB'C')

B is heads and the others are tails (A'BC')

C is heads and the others are tails (A'B'C)

Hence, as a minterm expansion,

F(A, B, C) = AB'C' + A'BC' + A'B'C

(b) To get the corresponding maxterm expansion, we convert to binary.

F(A, B, C) = \sum (100, 010, 001) = \sum(4,2,1)

The maxterm is the product of the complements.

F(A, B, C) = \prod (0, 3, 5, 6, 7) = \prod(000, 011, 101, 110, 111)

Expanding,

F(A, B, C) = (A' + B' + C')(A' + B + C)(A + B' + C)(A + B + C')(A + B + C)

3 0
3 years ago
Other questions:
  • About 70% of Earth's surface is covered by water. If the diameter of earth is about 12,750km, find the area not covered by water
    9·1 answer
  • What multiplies to -1 and adds to 2
    9·1 answer
  • charles is 22 years older than his sister danielle. in 10 years he will be twice as old as danielle. how old is each of them now
    12·1 answer
  • Another Question in my test
    11·1 answer
  • Describe how you can tell whether a line’s slope is greater than 1, equal to 1, or less than 1.
    11·1 answer
  • Kate is making dresses she use 1/3 yard if fabric for each dress she makes, what is the total of fabric Kate need to make 96 dre
    13·2 answers
  • Select the correct answer.
    14·1 answer
  • Keon biked 78 kilometers in 3 hours. How many kilometers did he bike per hour
    15·1 answer
  • If the mean of 1, 7, x is 4, then the value of x is
    9·1 answer
  • Round 534 to the nearest hundred
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!