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3 years ago

Convert the following values into scientific notation. Which one has the negative exponent.

Mathematics

1 answer:

REY [17]3 years ago

6 0

Answer:

B has a negative exponent: 8 x 10^-7

A doesn't: 4.267 x 10^7

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What is the arc length of the the arc subtended in a circle with radius 6 and an angle of 7pi/8

joja [24]

First, find the fraction of the circumference represented by central angle 7pi/8:

7pi/8
--------
2pi

Then find the circumference; it is C = 2 pi r, or 2pi(6), or 12 pi units

Then the arc length is 7pi/8 7
-------- * 12 pi = -------- units, or 21/4 units, or 5 1/4 units.
2pi 16 pi

7 0

3 years ago

Where would (2,-4) go on the coordinate plane?

Ronch [10]

Answer:

in the 4th quadrant

5 0

3 years ago

It’s been a while since I did Math but, in most scenarios, when you solve for an equation with only 1 x variable and you substit

patriot [66]

Let's replace every copy of x with 7 and simplify.

$\sqrt{5x+1}+9 = 3\\\\\sqrt{5*7+1}+9 = 3\\\\\sqrt{35+1}+9 = 3\\\\\sqrt{36}+9 = 3\\\\6+9 = 3 \ \text{ .... note the 6 on the left isn't negative}\\\\15 = 3\\\\$

Which is clearly false. This is probably the set of steps you followed to get "no solution".

Why is there no solution? Well let's subtract 9 from both sides to isolate the square root

$\sqrt{5x+1}+9 = 3\\\\\sqrt{5x+1}+9-9 = 3-9\\\\\sqrt{5x+1} = -6\\\\$

Recall that the result of a square root operation is never negative. The range of $y = \sqrt{x}$ and $y = \sqrt{5x+1}$ is the set of nonnegative numbers. There is no way we can have the left hand side result in -6

If there was a negative sign out front the square root and we have this instead

$-\sqrt{5x+1}+9 = 3\\\\$

then the answer would be x = 7

Unfortunately, there isn't such a negative sign, so we stick with "no solutions".

8 0

2 years ago

Over the last 3 evenings, Yolanda received a total of phone 96 calls at the call center. The third evening, she received 4 times

Ulleksa [173]

Yolanda received 17 calls on first day, 11 calls on second day and 68 calls on third day.

Step-by-step explanation:

Given,

Total calls received = 96

Let,

x be the number of calls received on second day.

Calls received on first day = x+6

Calls received on third day = 4(x+6)

Sum of calls received on three days = Total

$x+(x+6)+4(x+6)=96\\x+x+6+4x+24=96\\6x+30=96\\6x=96-30\\6x=66$

Dividing both sides by 6

$\frac{6x}{6}=\frac{66}{6}\\x=11$

Calls received on first day = x+6 = 11+6 = 17 calls

Calls received on second day = x = 11 calls

Calls received on third day = 4(11+6) = 4(17) = 68 calls

Yolanda received 17 calls on first day, 11 calls on second day and 68 calls on third day.

Keywords: addition, linear expression

Learn more about linear expressions at:

#LearnwithBrainly

7 0

3 years ago

Plot -1 + i in the complex plane

Masteriza [31]

In the complex plane, the point $(a,b)$ corresponds to the complex number $a+bi$ . So this means the number $-1+i$ can be represented by the point $(-1,1)$ .

6 0

3 years ago