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3 years ago

Greatest common factor of 12, 60, and 68

1 answer:

5 0

To calculate the GCF, you need to list all the prime numbers that will go into each number listed

12: 2, 2, 3
60: 2, 2, 3 5
68: 2,2,17

Now you circle the numbers that are the same in each.

GCF: 2, 2

Multiply these numbers to find the GCF: 4

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(2×²y²)⁰ I need help with exponents

balandron [24]

Answer:

Step-by-step explanation:

Any real value to the power of 0 is 1.

7 0

3 years ago

Read 2 more answers

Franklin rolls a pair of six-sided fair dice with sides numbered 1 through 6.

Zarrin [17]

Answer:

The answer is 7/36.

Step-by-step explanation:

First, you find out how many possible outcomes there are from rolling a pair of dice. On one cube, you can roll a 1,2,3,4,5, or 6; so there are 6 outcomes. Since there are two cubes, you multiply 6 by itself to get a total of 36 possible outcomes. Next, you find the probability of the sum of the numbers rolled being an even number; the possibilities are 2,4,6,8,10, or 12, which is 6/36. The probability of rolling a multiple of 5; the one possibility is just 5, since we already accounted for rolling a 10 as an even number. So that is 1/36. The word or says that we add the two probabilities, so the final answer is 6/36+1/36=7/36.

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3 years ago

Novay_Z [31]

Answer:

The sequence of transformations that maps ΔABC to ΔA'B'C' is the reflection across the line y = x and a translation 10 units right and 4 units up, equivalent to T₍₁₀, ₄₎

Step-by-step explanation:

For a reflection across the line y = -x, we have, (x, y) → (y, x)

Therefore, the point of the preimage A(-6, 2) before the reflection, becomes the point A''(2, -6) after the reflection across the line y = -x

The translation from the point A''(2, -6) to the point A'(12, -2) is T(10, 4)

Given that rotation and translation transformations are rigid transformations, the transformations that maps point A to A' will also map points B and C to points B' and C'

Therefore, a sequence of transformation maps ΔABC to ΔA'B'C'. The sequence of transformations that maps ΔABC to ΔA'B'C' is the reflection across the line y = x and a translation 10 units right and 4 units up, which is T₍₁₀, ₄₎

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2 years ago

If f(x)=3x^2+1 and g(x) =1-x, what is the truly value of (f-g)(2)

Lilit [14]

Answer:

Step-by-step explanation:

f(x)=3x²+1

f(2) = 3 x 2² + 1 = 13

g(x) =1-x

g(2) = 1 - 2 = -1

(f-g)(2) f(2) - g(2) = 13 - (-1) = 14

8 0

3 years ago

Members of Alachua District Choir were asked, when given the choice between Romanticism or Gothic

zalisa [80]

Answer:

$\begin{array}{cccc}{} & {Romanticism} & {Gothic} & {Total} & {Males} & {48} & {63} & {111}& {Females} & {59} & {62} & {121} & {Total} & {107} & {125} & {232} \ \end{array}$

Step-by-step explanation:

Given

Romanticism

$Male = 48$

$Female = 59$

Gothic

$Male = 63$

$Female = 62$

Required

Complete the table (See attachment for complete question)

The table can be represented as:

$\begin{array}{cccc}{} & {Romanticism} & {Gothic} & {Total} & {Males} & {48} & {63} & {111}& {Females} & {59} & {62} & {121} & {Total} & {107} & {125} & {232} \ \end{array}$

The "total" column represents the number of males and female sampled, respectively.

$Male = 48 + 63 = 111$