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3 years ago

Explain how to find the missing exponent given the base and the value

Mathematics

1 answer:

drek231 [11]3 years ago

6 0

Answer:

To find the value of missing exponent, we have to split the number which is in other side of equal sign (which is not having power) as the multiple of base of the missing exponent.

On both sides, powers have the same base, so their exponents must be equal.

Step-by-step explanation:

<h3>Problem 1:</h3>

Write the missing exponent:

25=5^x

Let x be the missing exponent.

To find the value missing exponent, we have to split the number which is in the left side as the multiple of the base of the missing exponent.

That is,

25=5*5 or 5^2

Now,

5^2=5^x

Powers have the same base so their exponent must be equal.

Hence the missing exponent is 2

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In triangle △WXY, XY ≅ WX and m∠X=38 Find m∠W

allsm [11]

Answer:

$71^{\circ}$

Step-by-step explanation:

Since two sides of the triangle are equal in length, we can conclude that $\triangle WXY$ is an isosceles triangle. With this information, we can draw an isosceles triangle to find $m\angle W$ . Since the base angles of an isosceles triangle are equal, we can solve for $m\angle W$ :

$38 + m\angle W + m\angle Y = 180$ (Angle sum of triangle is $180^{\circ}$ )

$38+2(m\angle W) = 180$ (Base angles of isosceles triangles are equal, there is an image attached to show that $m\angle W$ is one of the base angles)

$2(m\angle W) = 142$

$m\angle W=71^{\circ}$

Hope this helps :)

5 0

3 years ago

On a six-question multiple-choice test there are five possible answers for each question, of which one is correct and four are i

gizmo_the_mogwai [7]

Answer:

Step-by-step explanation:

given that on a six-question multiple-choice test there are five possible answers for each question, of which one is correct and four are incorrect

By mere guessing probability for choosing correct answer = p = 0.2

also each question is independent of the other

Hence if X is the number of correct questions then

X is binomial with p = 0.2 and n = 6

a) being correct on three questions,

= $P(X=3) = 0.08192$

(b) being correct on four questions,

= $P(X=4) = 0.01536$

= $P(x=6) = 0.000064$

8 0

3 years ago

Multiply the trinomial x^2+xy+y^2 times the binomial x-y and simplify.

Natalija [7]

Multiply then simplify, that's doing the same work twice...anyway

x^3+x^2y+xy^2-x^2y-xy^2-y^3

x^3-y^3 which if factored is:

(x-y)(x^2+xy+y^2) which is what you started with :)

6 0

3 years ago

PLEASE HELP ME!! WILL GIVE BRAINLIEST PLEASEEE!!

Nikolay [14]

AAS postulate is the answer to this question

6 0

3 years ago

8. Complete the table below by drawing an example of each shape.

lyudmila [28]

Answer:

Please see attachment.

The first one is a quadrilateral that is not a parallelogram.

The second one is a triangle with a right angle.

Step-by-step explanation:

Hope this helps!

If not, I am sorry.

3 0

2 years ago