Which expression is a perfect cube?
224
m 28

Answer/Step-by-step explanation:

a. Circumference (C) = πd

d = 12 cm

π = 3.14

Exact value of C = π*12 = 12π cm

Approximate value of C = 12*3.14 = 37.68 cm

b. Circumference (C) = πd

d = 8 m

π = 3.14

Exact value of C = π*8 = 8π m

Approximate value of C = 8*3.14 = 25.12 m

c. Circumference (C) = πd

d = 6 km

π = 3.14

Exact value of C = π*6 = 6π km

Approximate value of C = 6*3.14 = 18.84 km

d. Circumference = πd

d = 9 ft

π = 22/7

Exact value of C = π*9 = 9π ft

Approximate value of C = 9*22/7 = 28.2857143 ≈ 28.29 ft (nearest hundredth)

e. Circumference = 2πr

r = 4 mm

π = 22/7

Exact value of C = 2*π*4 = 8π mm

Approximate value of C = 2*22/7*4 = 25.1428571 ≈ 25.14 mm (nearest hundredth)

f. Circumference = 2πr

r = 7 mi

π = 22/7

Exact value of C = 2*π*7 = 14π mi

Approximate value of C = 2*22/7*7 = 44 mi (nearest hundredth)

Answer:

111*

Step-by-step explanation:

46*2=92

360-92-157=111

9514 1404 393

Answer:

  (b)  Function; The table follows the specific rules for being a function.

Step-by-step explanation:

The specific rule the table follows is that no input value is repeated. That is the only requirement for the relation to be a function.

Answer:

its the last one (d)

Step-by-step explanation:

Answer:

Its English :))))))

Answer:

i would go fro the first one

Step-by-step explanation:

its asking whitch maple have the more absolute deviations

Answer: C 60

Step-by-step explanation:

240 is the square meter, and if each face is the same, u divide 240 by 4 which equals 60

Answer:

5 + g

Step-by-step explanation:

The sum of 5 and g,

5 + g

Answer:

34%

Step-by-step explanation:

99/150 = 0.66

1.00 - 0.66  = 0.34

34%

Answer:There is 48% of cans

Answer:

r=-45

Explanation:

r/5=-9

5xr/5=5(-9)

5x r/5=5(-9)

r=5(-9)

r=5(-9)

r=-45

Step-by-step explanation:

[tex]3x + 9 = 3( - 5) + 9 \\ = - 15 + 9 \\ = - 6[/tex]

3x+9 is equals to -6 , not more than based on the inequality, but it is lesser than 21.

However, the solution must fulfil both criteria to be a solution to the inequality. Therefore x = -5 is not a solution to the inequality.

Answer: E

noon to 6 pm is 6 hours which is 360 minutes

divide 360 by 40 to get the number of times it doubles which is 9 times so it’ll be 2 to the ninth power (2 is there since your doubling the number of bacteria)

multiply that by 10 since that was how many bacteria there was at the beginning

10 x 2^9 = 5120

5120 bacteria will be there at 6 PM.

This question is an example of geometric progression, in which a bacteria colony has growing population that is multiplying itself at constant rate. The geometric progression is defined by this expression:

[tex]n (t) = n_{o} \cdot r^{\frac{t}{\tau} }[/tex] (1)

Where:

If we know that [tex]n_{o} = 10[/tex], [tex]r = 2[/tex], [tex]\tau = 40\,min[/tex] and [tex]t = 360\,min[/tex], then the population of bacteria at 6 PM is:

[tex]n(360) = 10\cdot 2^{\frac{360}{40} }[/tex]

[tex]n (360) = 5120[/tex]

5120 bacteria will be there at 6 PM.

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Answer:

119.

Step-by-step explanation:

12x12 is 144

5x5 is 25

144-25 = 119

Answer:

y = 3x - 9    

Step-by-step explanation:

1) First, find the slope of the line between the two points. Use the slope formula [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex] and substitute the x and y values of (0,-9) and (3,0) into the formula and simplify:

[tex]m = \frac{(0)-(-9)}{(3)-(0)} \\m = \frac{0+9}{3} \\m = 3[/tex]

So, the slope is 3.

2) Look at all the options. All the equations are in slope-intercept form since they are in a [tex]y = mx + b[/tex] format. Remember that [tex]m[/tex], or the coefficient of the x-term, is the slope. [tex]b[/tex], or the y-intercept, represents the y-intercept.

Knowing this, the answer must be [tex]y = 3x-9[/tex]. The number in place of [tex]m[/tex] is 3, which is the slope we just calculated. Also, since we know that the line passes through (0, -9), that must be the y-intercept since all points on the y-axis have an x-value of 0.

Answer:

it will be

Step-by-step explanation:

6/9 but a mix number i don't know

Answer:

105 R0

Step-by-step explanation:

Answer:

105, R=0

Step-by-step explanation:

525/5 = 105, no remainders in the answer as 525 is an exact multiple of 5

Answer: 1.39(1.006)^t

Step-by-step explanation:

The equation P(t) that represents the growth function for China is P(t) = 1.39 * ( 1.006)ⁿ.

A statement that relates two unknown parameters such that one is dependent on the other is called a function.

It is given that

Initial population = 1.39 billion in 2013

Growth Rate = 0.6%

Let a represent the initial population

b is the growth rate

and 2 be the elapsed year from 2013

and let the population at any given year is P(t)

Then the equation formed is

P(t) = a * bⁿ

P(t) = 1.39 * ( 1.006)ⁿ

Therefore the equation P(t) that represents the growth function for China is P(t) = 1.39 * ( 1.006)ⁿ.

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Answer:

1,3, and 4

Step-by-step explanation:

The value of P(X ≥ 93) when X pertains a normal distribution with mean of 79 and standard deviation of 7 is 0.0228

If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z score.

If we have

[tex]X \sim N(\mu, \sigma)[/tex]

(X is following normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex])

then it can be converted to standard normal distribution as

[tex]Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)[/tex]

(Know the fact that in continuous distribution, probability of a single point is 0, so we can write

[tex]P(Z \leq z) = P(Z < z) )[/tex]

Also, know that if we look for Z = z in z tables, the p value we get is

[tex]P(Z \leq z) = \rm p \: value[/tex]

For this case, we're specified that:

X pertains a normal distribution with mean of 79 and standard deviation of 7, symbolically, we have:

[tex]X \sim N(\mu = 79, \sigma = 7)[/tex]
The needed probability is P(X ≥ 93)

Converting X to standard normal variate makes us evaluate this probabiilty as:

[tex]Z = \dfrac{X -\mu}{\sigma} \sim N(0,1)\\\\P(X \geq 93) = 1 - P(X < 93)\\\\P(X \geq 93) = 1 - P\left (Z < \dfrac{93-79}{7}\right)\\\\P(X \geq 93) = 1 - P(Z < 2)[/tex]

The p-value for Z = 2 (from the z-tables) is found to be 0.9772

Thus, we get:

[tex]P(X \geq 93) =1 - P(Z < 2) = 1 - P(Z \leq 2) = 1 - 0.9772\\P(X \geq 93) = 0.0228[/tex]

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Answer:

Word problem 3        

Step-by-step explanation:

Word Problem one is a subtraction problem since Felicia is giving away two marbles to Lucas. Word Problem two is a division problem since Felicia is evenly dividing the number of marbles she has into two bags. Word Problem three is a multiplication problem because Ryan has two times as many marbles that Felicia does. Word Problem four is an addition problem because she found two more marbles while she already has eight marbles. Keywords for subtraction word problems are: fewer than, decrease, take away, less than, minus, difference, change, lost reduced, and subtract. Keywords for division word problems are: As much, cut up, groups, equally, sharing, half, how many in each, parts, per percent, quotient, ratio, and separated. Keywords for multiplication word problems are: double, every, factor, increased, multiplied product, times, and tripled.

Answer:aa

Q

Q

A

W

W

Q

Q

S

S

W

Q

W

W

W

W

Step-by-step explanation:

A

Dsjsjshshsjwbwsjwbwhsjwnwhwjwjwjwb

Answer:

11/12

Step-by-step explanation:

I am assuming the spinner is divided into 12 equal sectors and numbers 1-12 are written on them. Comment if I am wrong.

Spinning the 12 sided spinner, there is a 1/12 chance of spinning a specific number. So we take the opposite of that, which is 11/12. The chances of not rolling a two mean it comes out true if you roll numbers 1, 3, 4, 5, 6, 7, 8, 9, 10, 11, and 12.

Answer:

50,800

Step-by-step explanation:

Answer:

Solution given:

<ABC and <QRS are supplementary angles.

<ABC = 91°

we have

<ABC +<QRS=180°[supplementary]

<QRS=180°-91°=89°

m<QRS=89°

9514 1404 393

Answer:

  decay; 8% decrease per time period

Step-by-step explanation:

The growth factor is the base of the exponential term. The growth rate is 1 less.

  growth rate = 0.92 -1 = -0.08 = -8%

When the growth rate is negative, it is exponential decay withe the amount of decrease equal to the magnitude of the rate.

A growth rate of -8% represents exponential decay, with a decrease of 8% per time period.

Answer:

0.337 = 33.7% probability that one of the eight children has a food allergy.

Step-by-step explanation:

For each children, there are only two possible outcomes. Either they have a food allergy, or they do not. The probability of a child having food allergy is independent of any other child. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

7% of U.S. children 4 years of age or younger have a food allergy.

This means that [tex]p = 0.07[/tex]

A day care program has capacity for 8 children in that age range.

This means that [tex]n = 8[/tex]

What is the probability that one of the eight children has a food allergy?

This is P(X = 1).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 1) = C_{8,1}.(0.07)^{1}.(0.93)^{7} = 0.337[/tex]

0.337 = 33.7% probability that one of the eight children has a food allergy.

Answer:

42

Step-by-step explanation:

14/2= 7

21/3=7

6 x 7 = 42