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kap26 [50]
3 years ago
8

Simplify 5^2 x 5^4 A. 5^6 B. 5^2 C. 5 x 8 D. 5^8

Mathematics
2 answers:
Romashka [77]3 years ago
5 0

Answer:

A

Step-by-step explanation:

Both equal 15,625

defon3 years ago
5 0

Answer:

5^6x

Step-by-step explanation:

5^2\times \:5^4

Exponent rule: a^b\times \:a^c=a^{b+c}

Add Exponent togehther:-

  • 5^{2+4}
  • 5^6

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a 9ft ladder is placed 4.5 feet from the base of a wall. How high up will the ladder reach? Round to the nearest hundredth.
spin [16.1K]

Answer:

\huge\boxed{7.79 \ \text{feet}}

Step-by-step explanation:

We know that we have a 9 foot long ladder resting upon a wall, with an unknown height, but the ladder is 4.5 feet away from the wall.

This can be represented as a triangle, where x is the unknown side.

    |\

    |  \

x   |    \      9

    |      \

    |        \                  

    |_____\

    4.5

We can use The Pythagorean Theorem to find the value of x. The theorem states that a^2+b^2=c^2, where a and b are the lengths of the legs and c is the length of the hypotenuse.

However, we already know the hypotenuse and one leg. Therefore we can substitute inside the equation to find the missing value.

a^2 + 4.5^2 = 9^2\\\\a^2 + 20.25 = 81\\\\a^2 = 60.75\\\\a \approx 7.79

Hope this helped!

7 0
3 years ago
If the length of a rectangle is (x + 7) inches and the width is (3x+2) inches. Which expression represents the rectangle's area?
konstantin123 [22]

Answer:

The answer is no 1:

3x ^{2}  + 23x + 14

5 0
3 years ago
Find the face value of the 20-year zero-coupon bond at 4.4%, compounded semiannually, with a price of $8,375.
umka21 [38]

<u>Given</u>:

Time,

t = 20 years

Rate,

r = 4.4%

Price

= $8,375

Now,

The yield will be:

= \frac{4.4}{2}

= 1.1 (%)

Time will be:

= 20\times 2

= 40 \ periods

As we know the formula,

⇒ Price \ of \ bond = \frac{Face \ value}{(1+\frac{r}{2} )^{n\times 2}}

By substituting the values, we get

                   8375=\frac{Face \ value}{(1+\frac{0.044}{2} )^{20\times 2}}

                   8375=\frac{Face \ value}{(1.022)^{40}}

                   8375=\frac{Face \ value}{2.3880083}

The face value will be:

        Face \ value = 2.3880083\times 8375

                           =20,000 ($)

Learn more about face value here:

brainly.com/question/14862802

5 0
3 years ago
A store has 7 red shirts, 15 black shirts, 13
AleksAgata [21]

Answer:First you have to add all of the shirts together, which gives you: 40

Since 15 of those are black, then you need to put those 15 over the total number of 40, making it 15/40.

Then you must simplify by the highest number that will go into both, and since that number is 5, it will then go into 15 three times and it will go into 40 eight times.

That leaves you with the answer of: 3/8

6 0
3 years ago
a store has a contest to guess the mass of 10,000 penuts. if a penut has a mas of about 0.45 gram, what would be a reasonable gu
WITCHER [35]
4,500 mass. if you multiply 0.45 and 10,000 you'll get 4,500
7 0
3 years ago
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