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Dmitrij [34]
3 years ago
8

What is the surface area of a sphere that has a radius of 5 units? Use 3.14 for π. A. 254 units2 B. 300 units2 C. 314 units2 D.

384 units2
Mathematics
2 answers:
frez [133]3 years ago
8 0

Answer:

the answer is C

Step-by-step explanation:

VladimirAG [237]3 years ago
3 0

Answer:

C. 314 units2

Step-by-step explanation:

Sphere Formula:

SA=4πr²

SA= 4×3.14×5²= 314 units2

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A line with a slope of -2 passes through the points (0,d) and (-8,9). What is the value of d?
Verizon [17]

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have m = -2 and the points (0, d) and (-8, 9). Substitute:

\dfrac{9-d}{-8-0}=-2\\\\\dfrac{9-d}{-8}=-2\qquad\text{multiply both sides by (-8)}\\\\9-d=16\qquad\text{subtract 9 from both sides}\\\\-d=7\qquad\text{change the signs}\\\\\boxed{d=-7}

4 0
3 years ago
A Thurstone scale was constructed to measure creativity. The scale scores ranged from 1 to 13. If the scale was properly constru
Sonja [21]

Answer: A person with a score of 6 was more creative than a person with a score of 5

Step-by-step explanation: The Thurstone scale is usually employed in the representation of non-numerical attributes such as creativity, like or dislike, understanding and so on. in a numerical format usually in questionnaires or surveys in other to denote the level of agreement or disagreement with the statement or create ranking. However, despite being represented in numerical format to create distinction and processing. Variables measured cannot be subjected to mathematical calculation.

In the scenario above, creativity is represented in numerical format to show the level of creativity such that individuals with higher numbers are deemed more creative than those with lesser figures. However, it is wrong to Infer that an individual with creativity score of 6 is twice as creative as those with a creativity of 3.

IT just shows that individuals with 6 are more creativity than those with 5 and so on.

7 0
3 years ago
At 12pm, the temperature was 57o F. By 5pm, the thermometer read 36o F. Assuming a constant change in temperature, calculate and
BaLLatris [955]

Answer:

Unit rate of change = -4.2°F/hour

Step-by-step explanation:

Assuming a constant rate of change, a relationship between the change of temperature as a function of time (in hours) can be described as follows:

r= \frac{(36^oF - 57^o F)}{17 - 12}\\r= \frac{-4.2^o F}{hour}

There is a temperature drop from 12pm to 5pm, which explains the rate of change being negative. This rate means that at every hour that goes by, the temperature drops by 4.2 degrees.

6 0
3 years ago
If a circle’s diameter is 3 inches, what would be the best estimate of its circumference?
inn [45]
3.14 x 3 about 9 would be the answer

3 0
3 years ago
When multiplied, what is the simplified form of (5 − 2i)(1 − 2i)? Write the answer in standard form, a + bi, where a and b are r
jeka57 [31]
(5 - 2i)(1 - 2i) You can solve this as though it was (x - 2)(x + 3): use foil

F: 5*1 = 5
O: 5 *(-2i) = - 10i
I : -2i * (1) = - 2i
L: (-2i)(-2i) This may take a bit. There's a few signs hanging around.
L: (-2 * -2)*(i * i)
L: 4 (i *i)
L: 4(-1)
L: - 4 So combine these results.

FOIL: 5 - 10i - 2i - 4 Group the like terms
FOIL: 5 - 4 - 10i - 2i Now collect them
FOIL: 1 - 12i <<<<<<< Answer
7 0
3 years ago
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