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bulgar [2K]
3 years ago
10

Assuming a soap bubble is a perfect sphere, what is the diameter of a bubble containing 500 cm of air, to the nearest tenth of a

centimeter?
Mathematics
1 answer:
Alex777 [14]3 years ago
6 0

Answer:

9.8 cm

Step-by-step explanation:

Volume of a sphere, V = 4/3 πr³

V = 500cm³

π = 3.14

500 = 4/3 * 3.14 * r³

500 * 3 = 4 * 3.14 * r³

1500 = 12.56r³

r³ = 1500 / 12.56

r³ = 119.42675

r = (119.42675)^1/3

r = 4.9245574

Diameter = 2r

Diameter = 2 * 4.9245574

Diameter = 9.849

= 9.8cm

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Using cubes and flats with the number 1,200
vfiekz [6]

A cube represents 1,000 and a flat 100. You can solve this problem by saying the number out loud. "One thousand, two hundred." That means that you need one thousand (cube) and two hundreds (flat). So one cube and two flats will be 1,000+100+100, which equals 1,200.

6 0
3 years ago
If f(x)=-9x-3, find f(-5)
Andrews [41]

Answer:

42

Step-by-step explanation:

f(-5) = -9 × (-5) - 3 = 45 - 3 = 42

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below =)

5 0
3 years ago
The average expenditure on Valentine's Day was expected to be $100.89 (USA Today, February 13, 2006). Do male and female consume
AfilCa [17]

Answer:

Yes. The male and female consumers differ in the amounts they spend.

Step-by-step explanation:

We can express the null and alternative hypothesis as:

H_0: \mu_m=\mu_w\\\\H_1:  \mu_m\neq\mu_w

It is assumed a significance level of 0.05.

The standard deviation of the difference of means is calculated as:

s=\sqrt{\frac{s_m^2}{n_m} +\frac{s_w^2}{n_w} } =\sqrt{\frac{35^2}{40} +\frac{20^2}{30} } =\sqrt{30.625+13.333} =\sqrt{43.958} =6.63

The test statistic is

t=\frac{(M_m-M_w)-0}{s}=\frac{135.67-68.64}{6.63}=10.11

The degrees of freedom are:

df=n_1+n_2-2=40+30-2=68

The P-value for t=10.11 is P=0, so it is smaller than the significance level. The null hypothesis is rejected.

We can conclude that male and female consumers differ in the amounts they spend.

5 0
3 years ago
Justin bought 5 apples and 4 oranges for £45. On another occasion, he bought 2 apples and 8 oranges which cost £50. Find the cos
Vitek1552 [10]

Answer:

the cost of 3 apples and 7 oranges be £15 and £35 respectively

Step-by-step explanation:

Let us assume the apple be x

And, the oranges be y

Now according to the question

5x + 4y = £45

And,

2x + 8y = £50

Multiply by 2 in equation 1

So,

10x + 8y = £90

2x + 8y = £50

8x = £40

x = £5

And, y be

5(£5) + 4y = £45

£25 + 4y = £45

4y = 20

y = £5

So, the cost of 3 apples and 7 oranges be £15 and £35 respectively

5 0
2 years ago
What is the volume of a rectangular prism with a length of 2.5 cm, a width of 3.1 cm and a height of 1.2 cm?
Svetradugi [14.3K]
The answer is D- 9.3cm^3
7 0
3 years ago
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