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Olenka [21]
3 years ago
5

Consider this expression and the steps to evaluate it.

Mathematics
2 answers:
alexandr402 [8]3 years ago
5 0

Answer:

a=6

b=3

c=64

d=64

Step-by-step explanation:

Komok [63]3 years ago
3 0

Answer:

value of a = 6

value of b = 3

value of c = 64

value of d= 64

Step-by-step explanation:

1. Apply the quotient of powers:

(-2)^a / 4^b

In the given expression:

4^5(-2)^9/4^8(-2)^3

We know if we have the same base then the powers are subtracting if the bases are in numerator and denominator

i.e a^m/a^n = a^{m-n}

Solving:

=(-2)^{9-3}/4^{-5+8}\\=(-2)^6/4^3

So, the value of a = 6

and the value of b = 3

2. Evaluate Powers

c/d

We have

(-2)^6/4^3

Solving:

When power is even negative sign changes into plus sign

64/64

So value of c = 64

and value of d= 64

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Vladimir79 [104]

Answer:

Given - A rectangle of length 18 feet and wide 14 feet

To find - Area

Solution -

Area of rectangle = Length * Breadth

=

18 \times 14

252 square feet

6 0
3 years ago
A philanthropist pledges to donate 10% of a fund each year. If the fund initially has $450,000 how much will
Ann [662]

After 7 years fund balance will be $2152336.05 if the philanthropist pledges to donate 10% of a fund each year.

<h3>What is an exponential function?</h3>

It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent. \rm y = a^x

where a is a constant and a>1

We have:

A philanthropist pledges to donate 10% of a fund each year.

We can find the amount left after 7 years as follows:

A = 450000(1 - 0.1)⁷

10% of a fund each year.

Rate r = 10% = 0.1

A = 450000(0.9)⁷

A = $2152336.05

Thus, after 7 years fund balance will be $2152336.05 if the philanthropist pledges to donate 10% of a fund each year.

Learn more about the exponential function here:

brainly.com/question/11487261

#SPJ1

6 0
2 years ago
TRANSLATIONS ON THE COORDINATE PLANE
klio [65]

Answer:

idk

Step-by-step explanation:

idk

8 0
3 years ago
Explain why ΔABC cannot be shown to be congruent to ΔCDA.
igomit [66]

There isn't enough info to prove the triangles to be congruent or not. So we can't say for sure either way.

We have angle CAD = angle ACB given by the arc markings, and we know that AC = AC due to the reflexive theorem. However we are missing one third piece of information.

That third piece of info could be....

  • AD = BC which allows us to use SAS
  • angle ACD = angle CAB which allows us to use ASA
  • angle ABC = angle CDA which allows us to use AAS (slight variation of ASA)

Since we don't know any of those three facts, we simply don't have enough information.

side note: If AB = CD, then this leads to SSA which is not a valid congruence theorem. If we had two congruent sides, the angle must be between the two sides, which is what AD = BC allows.

4 0
3 years ago
What is the range of the function f(x) = 2 – 2 when the domain is {0, 2, 4}? O {-1, 2, 14} {3, 6, 8} {-2, 2, 6) All real numbers
devlian [24]

Answer:

F = 0

Step-by-step explanation:

F(x) = 2 - 2

fx/3 = 0/x

f=0

5 0
3 years ago
Read 2 more answers
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