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laila [671]
3 years ago
12

Solve each of the following exponential equations

Mathematics
1 answer:
Vika [28.1K]3 years ago
4 0
5^x = 5^6

x = 6

hope it helps
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Classrooms on one side of the science building are all numbered with consecutive odd integers. If the first​ room, the room with
liubo4ka [24]

Answer:

The sum of the first five classroom numbers in a row is 5k + 20

Step-by-step explanation:

Since the smallest classroom​ number on the side of the building is numbered k​ and each consecutive odd integer is separated by a difference of  

2.

Therefore:  

k is the first class room.

k +  2  is the second class room.

k +  4  is the third class room.

k + 6 is the third class room.

k + 8 is the fifth class room.

The sum of the five consecutive class rooms are given as:

k + (k + 2) + (k + 4) + (k + 6) + (k + 8)

collecting alike terms we get

=  k + k + k + k + k + 2 + 4 + 6 + 8

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Therefore, The sum of the first five classroom numbers in a row is 5k + 20.

8 0
3 years ago
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Fudgin [204]

Answer: B

Step-by-step explanation:

4 0
3 years ago
What is the area of triangle HGF? Round your answer to the nearest tenth of a square centimeter. Recall that you need to round u
denpristay [2]

Answer:

9.8

Step-by-step explanation:

The formula for the area of a triangle is a=bh/2, where a is area, b, is the base, and h is the height. If we substitute the values in the question in the equation, we get:

a=(6.5*3)/2

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7 0
3 years ago
Brett is installing a gravel path along the diagonal of a rectangular garden. The garden measures 3
NISA [10]

Answer:

The answer is C, First you must find the length of the diagonal gravel path and you can use Pythagorean Theorem to do this. 24^2+32^2=c^2 and solve for c which will get you 40 feet. Now, solve for the area of the path by multiplying 40*2 (2 feet wide) which will get you an area of 80 square feet. Multiply 80 by 3.5 and then the answer is $280. Hope this helped you :)

Step-by-step explanation:

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3 years ago
To make 1 1/2 dozen muffins, a recipe uses 3 1/2 cups of flour. How many cups of flour are needed for every dozen muffins made?
11111nata11111 [884]

7/3 you divide 3.5 by 1.5 and get 2.3333333 which in fraction form is 7/3

5 0
3 years ago
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