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Eduardwww [97]
3 years ago
9

Prove that the value of the expression 7^8–7^7 +7^6 is divisible by 43.

Mathematics
1 answer:
murzikaleks [220]3 years ago
5 0

Step-by-step explanation:

1. if to evaluate the given experssion, then

7⁶(7²-7+1)=7⁶*43.

2. if to divide this evaluated expression by 43, then

7⁶*43/43=7⁶.

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Solve ln 2 + ln x = 5. Round to the nearest thousandth, if possible.
azamat

Answer:

The  value of x nearest to thousandths is, 74.207

Step-by-step explanation:

Solve :  \ln 2 + \ln x = 5

\ln represents the logarithmic function with base e.

Using logarithmic properties:

  • \ln (mn) = \ln m + \ln n
  • \ln x = a , then x = e^a

\ln 2 + \ln x = 5

Apply the logarithmic properties; we have

\ln 2x = 5

then;

2x = e^5

or

2x=148.41315910258

Divide both sides by 2 we get;

x = 74.2065796

Therefore, the value of x nearest to thousandths is, 74.207

3 0
3 years ago
Randy coffee shop sells a refill mug for $8.95. Each refill costs $1.50. Last month Sean spent $26.95 on a mug and refills. How
Ratling [72]

Answer:

The answer is 12

Step-by-step explanation:

Step 1: $26.95 - $8.95 (which equals $18.00)

Step 2: 18 divided by 1.50 (which equals 12)

5 0
3 years ago
A wedge of cheese is shaped like a triangular prism. The wedge of cheese is 7 inches tall. The base of the cheese is shaped like
Gala2k [10]

Answer:

193 in

Step-by-step explanation:

Volume of a triangular prism:

The volume of a triangular prism is the base area multiplied by the wedge, that is:

V = A_bw

The base area is one half times the triangle base times it's height, so:

V = 0.5*b*h*w

The wedge of cheese is 7 inches tall.

This means that w = 7

The base of the cheese is shaped like a triangle with a base of 11 and a height of 5 inches.

This means that b = 11, h = 5

Volume:

V = 0.5*b*h*w = 0.5*11*5*7 = 192.5

Rounding, approximately 193 in.

4 0
3 years ago
A picture frame measures 5 inches wide and 7 inches long. What is the perimeter of the frame?
marin [14]
The perimeter is 24.
Remember finding perimeter is always adding, so add 5 two times for the sides do the shape, do the same for 7, then you get your answer. Hope this helps!
7 0
2 years ago
Read 2 more answers
The teacher kept track of how long it took students to finish a test. After 20 minutes, 3 students had finished the test.
spin [16.1K]
Well I would say 11 kids after 70 minutes
5 0
3 years ago
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