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2 years ago

An artist forms a spherical glass ornament that has a diameter of 6 cm. What is the volume of the ornament? Use 3.14 for π.

Mathematics

1 answer:

Mrrafil [7]2 years ago

7 0

Answer:

1st option: 113.04 cm³

Step-by-step explanation:

Volume of sphere= $\frac{4}{3} \pi {r}^{3}$

Volume of ornament

$= \frac{4}{3} (3.14)( {3}^{3}) \\ = 113.04 \: cm^{3}$

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18% of the the students at a school are in year 8 and 16% of the students are in year 9. If the school has 126 tera 8 students,

yarga [219]

Answer:

112

Step-by-step explanation:

The general form of all percentage questions is: the chunk= (some percentage) (of the whole), or c=p*w

We know that 18% of students are 8th grade and that is 126 students, so p = 0.18 and c=126 (126 students are 18% of the whole school)

126 = (0.18)w, divide both sides by 0.18

126/(0.18) = w = 700

9th graders are 16% of the school or 16% of 700 students

c = (0.16) 700 = 112 students

5 0

2 years ago

Michael arthur deported $2,900 in a new regular savings account that earns 5.5 percent interest compounded semiannually he made

il63 [147K]

Answer:

The amount in the account is $3062.4 (Approx) and compound interest is $162.4 .

Step-by-step explanation:

Formula for compounded semiannually

$Amount = P(1 + \frac{r}{2} )^{2t}$

Where P is the principle , r is the rate in decimal form and t is the time.

As given

Michael arthur deported $2,900 in a new regular savings account that earns 5.5 percent interest .

Here

Principle = $2,900

5.5% is written in the decimal form.

$= \frac{5.5}{100}$

= 0.055

Time = 1 year

Put in the formula

$Amount = 2900\times (1 + \frac{0.055}{2} )^{2\times 1}$

$Amount = 2900\times (1 + 0.0275 )^{2\times 1}$

$Amount = 2900\times (1.0275)^{2}$

$Amount = 2900\times 1.056\ (Approx)$

Amount = $ 3062.4 (Approx)

Thus the amount after 1 years is $3062.4 (Approx) .

Now find out the compound interest .

Amount = Principle + Compound interest

Here

Amount = $ 3062.4

Principle = $2,900

Put in the above

$3062.4 = $2,900 + Compound interest

Compound interest = $3062.4 - $2,900

Compound interest = $162.4

8 0

2 years ago

What is the range of the function graphed below?

Xelga [282]

<h2>Answer:</h2>

Option: B is the correct answer.

The range of the function is:

B. 5 < y < ∞

<h2>Step-by-step explanation:</h2>

Range of a function--

The range of a function is the set of all the values that is attained by the function.

By looking at the graph of the function we see that the function tends to 5 when x→ -∞ and the function tends to infinity when x →∞

Also, the function is a strictly increasing function.

This means that the function takes every real value between 5 and ∞ .

i.e. The range of the function is: (5,∞)

Hence, the answer is:

Option: B

8 0

2 years ago

Brianna bought an assortment of 16 apples. A medium-sized apple weighs around 5.2 ounces. Which response gives the best estimate

harkovskaia [24]

83.2 is your answer here

7 0

2 years ago

Read 2 more answers

Vector bought 15.6 pounds of paintballs. All together, the balls cost $35.99.

olga2289 [7]

Answer:

20.39

Step-by-step explanation:

35.99 – 15.6 = 20.39

5 0

2 years ago