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Firlakuza [10]
3 years ago
10

Multiple Representations On a? map, 4 inches equals 120 miles. The distance that a family travels is 4.5 inches on the map. Repr

esent the scale as two different ratios. What is the actual distance the family? travels?
Mathematics
1 answer:
kenny6666 [7]3 years ago
5 0

Okay the scale for this equation is each inch equals 30 miles. SO to get how many miles 4.5 inches equals to, we have to multiply 30 by 4.5, and the answer we get is 135.

I hope this helps!

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What is the vertex of the graph of f(x) = 5x + 3] + 7?
pickupchik [31]
F(x)=5x+10
5x=-10
x=-10/5
x=-2


Result is f(-2).
4 0
3 years ago
Let log_(b)A=3; log_(b)C=2; log_(b)D=5 what is the value of log_(b)((A^(5)C^(2))/(D^(6)))
Colt1911 [192]

Answer:

-11

Step-by-step explanation:

Given

\log_bA=3\\ \\\log_bC=2\\ \\\log_bD=5

Use properties:

\log_b(A\cdot C)=\log_bA+\log_bC\\ \\\log_b\dfrac{A}{C}=\log_bA-\log_bC\\ \\\log_bA^k=k\log_bA

Thus,

\log_b\dfrac{A^5\cdot C^2}{D^6}\\ \\=\log_b(A^5\cdot C^2)-\log_bD^6\\ \\=\log_bA^5+\log_bC^2-\log_bD^6\\ \\=5\log_bA+2\log_bC-6\log_bD\\ \\=5\cdot 3+2\cdot 2-6\cdot 5\\ \\=15+4-30\\ \\=-11

3 0
3 years ago
Perform the operation. Enter your answer in scientific notation.<br> 9 x 10^*8 - 5.3 x 10^*8 =
PilotLPTM [1.2K]

Answer:

3.7x10^8

Step-by-step explanation:

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3 0
2 years ago
4x – 4 = – 12<br> X = ?<br> What is X ?
maxonik [38]

Answer:

X=-2

Step-by-step explanation:

4x-4=-12

Add 4 on both sides

+4 +4

4x=-8

Divide by 4 on both sides

÷4 ÷4

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8 0
3 years ago
Read 2 more answers
What is the area of Shaded part?
svetlana [45]

Answer:

1π

Step-by-step explanation:

suppose the radius of semicircle P is r,

then the radius of semicircle Q = (r+d)/2  ... d≤r

radius of semicircle R = (r-d)/2

area P = 1/2 (r)²π

area Q = 1/2 ((r+d)/2)² π = 1/8 (r² + 2rd + d²)π

area R = 1/2 ((r-d)/2)² π = 1/8 (r² - 2rd + d²)π

shaded area = P-Q-R = 1/2 r²π - 1/4 (r² + d²)π

                                   = ((r² - d²)/4) * π

because there is no constant r value in the question and d value changes with the r change, when the vertical segment length equal the semicircle P radius (r), r=2 and d = 0

therefore the shaded area = ((2² -0²)/4)*π = 1π

8 0
2 years ago
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