Bob has 3 children, the product of their age is 72, his youngest child called justice, what are their ages

Answers

Answer 1

Answer: I have encountered this question before. Since only the product of the ages is given, there are a lot of possible combinations.

3 kids, has a youngest child - means that the 3 kids have different ages.

I performed a prime factorization on 72.

72 ÷ 2 = 36
36 ÷ 2 = 18
18 ÷ 2 = 9
9 ÷ 3 = 3
3 ÷ 3 = 1

1 x 2 x 2 x 2 x 3 x 3 = 72

Possible age combination:

1 x 8 x 9 = 72
2 x 4 x 9 = 72
3 x 4 x 6 = 72
1 x 6 x 12 = 72
1 x 4 x 18 = 72

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I need help with math 1010
completing the square
x^2-9x=10

Answers

$x^2-9x=10|+20.25\nx^2-9x+20.25=30.25\n(x-4.5)^2=30.25\nx-4.5=5.5 \vee x-4.5=-5.5\nx=10 \vee x=-1$

What is the arithmetic mean of the following numbers?
9, 10, 6, 5, 6

Answers

Answer: 7.2

Step-by-step explanation: Mean= (sum of observations/number of observations)

=(5+6+6+9+10)/5

=(36)/5

=7.2

What is 63X7/9 just the answer please

Answers

63 times 7 equals 441. 441 divided by 9 is 49. Therefore, your answer us 49. Have a nice day!

Find the value of f (-9)

Answers

Answer:6

Step-by-step explanation:

The expression "f-9" can be interpreted in different ways depending on the context. 1. If "f" represents a variable or function, and you are asked to evaluate "f-9", it means you need to subtract 9 from the value of "f". For example, if f = 15, then f-9 would be 15-9 = 6. 2. If "f" is a specific function or formula, and you are asked to simplify "f-9", it means you need to simplify the expression "f-9" as much as possible. Without further information about the specific function or formula, it is difficult to provide a specific answer. However, you can follow general rules of simplifying expressions, such as combining like terms or applying mathematical operations. 3. If "f" is a placeholder for a specific numerical value, and you are asked to evaluate "f-9", you need to substitute the value of "f" into the expression and then subtract 9. For example, if f = 7, then f-9 would be 7-9 = -2. In summary, the meaning of "f-9" depends on the context and how "f" is defined. It could represent subtraction of 9 from a variable or function, simplification of an expression involving "f" and 9, or evaluation of an expression where "f" represents a specific numerical value.

The vertices of a parallelogram are A(x1, y1), B(x2, y2), C(x3, y3), and D(x4, y4). Which of the following must be true if parallelogram ABCD is proven to be a rectangle?

Answers

Answer:

Option 3.

Step-by-step explanation:

A parallelogram is said to be a rectangle if

1. Opposite pair of lines are equal and parallel

2. Adjacent lines meet each other at 90 degrees.

Hence we have third option which satisfies both the conditions.

Answer:

Step-by-step explanation:

I just took the mastery test and got 100 for plato

Mrs. Eaton's class is participating in the "Box Tops for Education" campaign. On the first day, herclass collected 2 tops. On the third day, her class collected 8 tops. Let D represent each collection
day and N represent the number of tops collected on that day.
Based on the situation, John claims the number of tops collected can be modeled by an exponential
function. Riley disagrees and claims the number of tops can be modeled with a linear function. What
is the number of tops collected on the sixth day based on the exponential model? What is the
number of tops collected on the sixth day based on the linear model?

Answers

The exponential model would take the form:
$y=Ae^(kt)$
A, the initial value is 2, we will use 3 days and 8 tops to find k, or the rate.
$8 = 2e^(k*3)$
$k = (ln(4))/(3)$

Now, plugging in 6 days:
$y = 2e^{ (ln(4))/(3)*6}$
$y = 32$

The linear would take the form:
y = mx+b
First the slope would be: (8-2)/(3-1) = 3
And to find b we could plug in the point (8,3):
8 = 3(3)+b
b = 8-9
b = -1
y = 3x-1
At x=6
y = 3(6)-1
y = 17

Thus, the exponential is almost double the result of the linear! Hope that helps.

Answer:

Step-by-step explanation:

for the exponential it is actually 64

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Twice the difference of the number and 11

What is the x-intercept of the graph of the function f(x) = x^2 − 16x + 64?