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Arada [10]
3 years ago
12

If f(x)=3x+5 and q(x)=0, show that f(x)+q(x)=f(x).

Mathematics
1 answer:
alex41 [277]3 years ago
8 0

Step-by-step explanation:

  • f(x)=3x+5
  • q(x)=0

f(x)+q(x)

➜3x+5+0

➜3x+5

➜f(x)

<h3>Hence proved</h3>
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During a school race, Sonic ran around the entire track 5 times in 10 seconds. Everyone was shocked by his speed, which was equa
Aleonysh [2.5K]

Step-by-step explanation:

there is no diagram here.

I assume that the race track is a rectangle in the middle and two half-circles at the left and right ends, and that the length of the rectangle is D = 2R. which makes the rectangle actually a square, as the width is the diameter of the (half-)circles, which is also 2R.

Sonic ran the track 5 times in 10 seconds with a speed of 321 m/s.

that means he ran 10×321 m in 10 seconds = 3210 m.

so, 5 times the track is 3210 m, which means that the track itself is 3210/5 = 642 m long.

and based on the assumptions above the track consists of 2 times the length of the rectangle (or square), and the full circumference of a circle with radius R (2 half-circles make one full circle).

we know the formula for the circumference of a circle :

2×pi×radius

so, we have then

642 = 2×2R + 2×pi×R = R×(4 + 2×pi)

R = 642 / (4 + 2×pi) = 62.43201701...

and when using the requested "cut-off" pi = 3.14, we get

R = 642 / (4 + 2×3.14) = 62.45136187...

and that is rounded 62.5

so, the second answer option is correct.

7 0
2 years ago
Read 2 more answers
Consider a single spin on the spinner shown below. A circle is split into sections 1, 2, 4, and 3. A spinner is pointing at numb
vladimir2022 [97]

Answer:

The answer is "Options A, B, and E represent mutually exclusive events".

Step-by-step explanation:

Two occurrences that can happen immediately called mutually incompatible. Let's now glance at our options and figure out where the statements are mutually incompatible events.

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In Option B: Arriving on a shaded part and falling on 3 are also mutually incompatible because there are 3 on a windows azure.

In Option C: A darkened portion and an increasing amount can land while 2 would be an even number as well as on the shaded portion. That number is very much the same.

In Option D: At the same time as 4 is greater than 3 and it is situated upon an undistressed section, landing and attracting a number larger than 3 can happen.

In Option E: Landing on a shaded part and landing on even a shaded part is an excluding event, since shaders may either be shaded or unlit.

3 0
3 years ago
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Translate radical expressions into expressions with rational exponents, and vice versa. Simplify numerical
dmitriy555 [2]

Answer:

a) (\sqrt[n]{x}) the n will be 5 the x will be (-32/243)^2.

b) written the same as a. except the c will replace the n and x will be (2y)^b.

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Hope this helps!

Brainliest?

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3 years ago
How do I Express 18+24 as the product of the GCF and another sum
svp [43]

Answer:

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Step-by-step explanation:

We are asked to represent 18+24 as the product of the GCF and another sum.

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Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24.

We can see that greatest common factor of 18 and 24 is 6. Let us write our given expression as product.

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Therefore, our required expression would be 6(3+4).

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3 years ago
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nika2105 [10]

0.6/10^-2

 move the decimal 2 places to the right

0.6 becomes 60

 answer is 60

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3 years ago
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