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WITCHER [35]
3 years ago
11

The volume of a sphere is 2,240 yd^3. What will be the new volume in the dimensions are multiplied by 1/4?

Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
8 0

Answer:

34.98yd^3

Step-by-step explanation:

Volume of a sphere V=4/3πr3

Where V = 2240yd^3

π = 3.14

2240 = 4/3×3.14×r^3

2240 = 4.1866r^3

r^3 = 2240/4.1866

r^3 = 534.784

r = ( 534.784 )^1/3

r = 8.1169

Since each dimension is to be multiplied by 1/4

Hence, 1/4×8.1169

r = 2.029.

New volume will be

V = 4/3×3.14×2.029^3

V = 4/3×3.14×8.3558

V = 34.98yd^3.

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Zachary purchased a computer for 1800 on a payment plan. three months after he purchased the computer, his balance was 1350. fiv
nadezda [96]

(750m) - 1050 = b

1800 - 1050 = 750 dollars lost.

So (750m) - 1050 = b will give you the balance.


6 0
3 years ago
Help me plz and explain your answer to me
Vlad1618 [11]

Answer:

4.171\times10^6

Step-by-step explanation:

Given:

First Number = 97

Second Number = 4.3\times10^4

We need to find the product of two numbers in Scientific notation.

Product of two numbers means we need to multiply two number.

Also The proper format for scientific notation is a x 10^b where a is a number or decimal number such that the absolute value of a is less than ten and is greater than or equal to one or, 1 ≤ |a| < 10. b is the power of 10 such that the scientific notation is mathematically equivalent to the original number.

Decimal points are moved until there is only one non-zero digit to the left of the decimal point. The decimal number results as  a.

Number of decimal point moved needs to be counted. This number is b.

If decimal are moved  to the left b is positive.

If decimal are moved to the right b is negative.

If decimal are not moved b = 0.

scientific notation of a number can be written as a x 10^b and read it as "a times 10 to the power of b."

Hence the product is;

97\times4.3\times 10^4 = 417.1 \times 10^4

Expressing in Scientific Notation form we get

4.171 \times 10^6

Hence the Answer is 4.171 \times 10^6.

3 0
3 years ago
Assume the mean life of an iPhone is 5 years (60 months)and a standard deviation of 8 months If the age in years at which an iPh
melamori03 [73]

Answer:

Answer:

safe speed for the larger radius track u= √2 v

Explanation:

The sum of the forces on either side is the same, the only difference is the radius of curvature and speed.

Also given that r_1= smaller radius

r_2= larger radius curve

r_2= 2r_1..............i

let u be the speed of larger radius curve

now, \sum F = \frac{mv^2}{r_1} =\frac{mu^2}{r_2}∑F=

r

1

mv

2

=

r

2

mu

2

................ii

form i and ii we can write

v^2= \frac{1}{2} u^2v

2

=

2

1

u

2

⇒u= √2 v

therefore, safe speed for the larger radius track u= √2 v

8 0
2 years ago
For f(x) = 2x + 3 and g(x) = x2 – 8, find (f + g)(x).
Nataly_w [17]

Answer:

x² + 2x - 5

Step-by-step explanation:

(f + g)(x) = f(x) + g(x)

f(x) + g(x)

= 2x + 3 + x² - 8 ← collect like terms

= x² + 2x - 5

8 0
3 years ago
In the diagram, AB = 10 and AC = 2/10. What is the
Mekhanik [1.2K]
Answer:
D.20 + 2/10 units

Step-by-step Explanation:
Perimeter is the distance all round a figure.
AB = 10. This is given in the question
AC = √((3-5)²+(4--2)²
= √(4+36)
=√40 = 6.32 units
BC = 5 - -5 = 10 units

Perimeter = AB+AC+BC
= 10+6.32+10
= 26.32 units
From the choices, we do not have an exact answer. The one that mosts suits the perimeter is 20 + units.
3 0
2 years ago
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