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dolphi86 [110]
3 years ago
11

What is the simplest value of exponential expression 27^1/3

Mathematics
1 answer:
velikii [3]3 years ago
4 0

Answer:

The value of this would be 3.

Step-by-step explanation:

When you raise something to the third power, it is the same as taking the third root. The third root of 27 is 3.

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1<br> Which sequence of transformations takes AA to its image, AB ?
lianna [129]

A rigid transformation preserves the dimensions of the image

The option that gives the sequence of transformation that takes ΔB to ΔB is  the option B.

<u>(B) Reflection across y-axis and a translation 2 units down </u>

Reason:

Question: The sequence of transformation that takes ΔA to image ΔB

<em>From a similar question, we have, ;</em>

<em>The vertices of triangle ΔA are; (-8, 9), (-9, 4), (-3, 4)</em>

<em>The vertices of triangle ΔB are; (8, 7), (3, 2), (9, 2)</em>

<em>The options are; </em>

<em>(A) Reflection over the x-axis and 2 units translation down</em>

<em>(B) Reflection over the y-axis and 2 units translation down</em>

<em>(C) 90° rotation after a translation of 2 units down</em>

<em>(D) 90° rotation after a translation of 12units right</em>

Solution;

The length of the base of ΔA = -3 - (-9) = 6

The length of the base of ΔB = 9 - 3 = 6

Therefore, the length s of triangle A and triangle B are equal

The orientation of the base of ΔA and ΔB are both horizontal

The location of the the side that traverses four cells are both furthest from the y-axis, or the vertical

Therefore, ΔB is a reflection of ΔA across the y-axis

We also have;

The base of ΔB is 2 units lower than the base ΔA

Therefore, the correct option is option B, reflection across y-axis and a translation 2 units down

Learn more here;

brainly.com/question/23461633

7 0
3 years ago
From a group of 12 students, we want to select a random sample of 4 students to serve on a university committee. How many combin
borishaifa [10]

Answer:

495 combinations of 4 students can be selected.

Step-by-step explanation:

The order of the students in the sample is not important. So we use the combinations formula to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

How many combination of random samples of 4 students can be selected?

4 from a set of 12. So

C_{n,x} = \frac{12!}{4!(8)!} = 495

495 combinations of 4 students can be selected.

8 0
3 years ago
Simon (Mr. Lovett) completed 4 sets of chin-ups. Every set he reached a different prime number of chin-ups. Knowing this, what n
Vsevolod [243]

Answer:

answer is b!

Step-by-step explanation:

hope this helps!!!

8 0
3 years ago
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