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IRINA_888 [86]
3 years ago
6

A sphere has diameter 16.8 cm. If the radius is multiplied by 1/4, what is the effect on the volume?

Mathematics
1 answer:
valentinak56 [21]3 years ago
5 0
The volume is multiplied by 1/64. I hope this helps :)
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Algebraic expression definition
Hunter-Best [27]

Answer:

A mathematical equation or phrase that includes numbers, variables, and operators.

Step-by-step explanation:

Examples of numbers: 1, 5, 60, 100

Examples of variables: a, x, y

Examples of operators, +, -, x, /

Any mathematical equation with all 3 of the given examples is called an algebraic expression.

For example:

1 + 21 is not an algebraic expression, because although it has both numbers and operators, it does not have a variable.

x + 2 is an algebraic expression, because it has all 3 of the components listed above.

Hope I helped :)

7 0
3 years ago
Read 2 more answers
The equation of line s,line t, and point p
Veronika [31]

Answer:

T

Step-by-step explanation:

3 0
3 years ago
Let $a$ and $b$ be nonzero real numbers such that
algol [13]
<h3>Answer:   -7/2</h3>

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

Explanation:

Let's expand out (2 - 7i)(a + bi) using the FOIL rule

(2 - 7i)(a + bi) = 2a + 2bi - 7ai - 7bi^2

(2 - 7i)(a + bi) = 2a + 2bi - 7ai - 7b(-1)

(2 - 7i)(a + bi) = 2a + 2bi - 7ai + 7b

(2 - 7i)(a + bi) = (2a+7b) + (2bi-7ai)

(2 - 7i)(a + bi) = (2a+7b) + (2b-7a)i

We're told the result is purely imaginary. What this means is that the real part (2a+7b) is zero, while the imaginary part (2b-7a) is nonzero. If both are zero, then we have 0+0i = 0 which is purely real.

For example, the complex numbers 0-7i and 0+2i are purely imaginary.

Let's use the fact that 2a+7b must be zero to do the following steps:

2a+7b = 0

2a = -7b

a = -7b/2

a/b = -7/2 which is the final answer

We must check to see if 2b-7a is nonzero

2b - 7a = 2b - 7(-7b/2)

2b - 7a = 2b + 24.5b

2b - 7a = 26.5b

The result is nonzero if and only if b is nonzero. Luckily we're told b is nonzero at the top of the problem. So we don't have any worries that (2b-7a) is zero.

Therefore, (2a+7b) + (2b-7a)i will be purely imaginary with a/b = -7/2

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

A concrete example:

Let a = -14 and b = 4

a/b = -14/4 = -7/2

(2-7i)(a+bi) = (2-7i)(-14+4i) = 0 + 106i which is purely imaginary.

I'll let you do the steps in expanding that out using the FOIL rule.

4 0
1 year ago
Round off 2409725 to nearest 10​
Julli [10]

Answer:

Hey!

Step-by-step explanation:

Your answer is 2409725.0

Best of luck ♥

5 0
2 years ago
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Suppose corn chips cost 28.5 cents per ounce. If a bag costs $3.75, how many ounces are in the bag of chips? Round to the neares
ki77a [65]
13.16oz are in the bag because $3.75÷$0.285 is 13.16oz
7 0
3 years ago
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