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erma4kov [3.2K]
3 years ago
14

Subtract the following.Write your answer in standard notation. 15 - 1.3 * 10^-3

Mathematics
1 answer:
ycow [4]3 years ago
5 0

Answer:

The Final Answer would be 14.9987.

Step-by-step explanation:

Given:

15-1.3\times 10^-3

We need to Subtract the above number.

Since the larger number is standard Notation form and smaller number is in Scientific notation form

So first we will convert the Scientific notation Number in standard Notation form we get;

1.3\times 10^-3 = 0.0013

Now Subtracting the smaller Number from larger number we get;

15-0.0013 = 14.9987

Hence The Final Answer would be 14.9987.

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Given: cosθ= -4/5 , sin x = -12/13 , θ is in the third quadrant, and x is in the fourth quadrant; evaluate tan 1/2 θ
mrs_skeptik [129]

Answer:

Step-by-step explanation:

If you're looking for what the half angle of the tangent of theta is, I'm a bit confused as to why you think the angle in the 4th quadrant, x, is relevant.  But maybe you don't know it isn't and it's a "trick" to throw you off.  Hmm...

Anyways, the half angle identity for tangent is

tan(\frac{\theta}{2})=\frac{sin\theta}{1+cos\theta}

There are actually 3 identities for the tangent of a half angle, but this one works just as well as either of the others do, so I'm going with this one.  

If theta is in QIII, the value of -4 goes along the x axis and the hypotenuse is 5.  That makes the missing side, by Pythagorean's Theorem, -3.  Filling in our formula:

tan(\frac{\theta}{2})=\frac{-\frac{3}{5} }{1+(-\frac{4}{5}) } which simplifies a bit to

tan(\frac{\theta}{2})=\frac{-\frac{3}{5} }{\frac{5}{5} -\frac{4}{5} }  and a bit more to

tan(\frac{\theta}{2})=\frac{-\frac{3}{5} }{\frac{1}{5} }

Bring up the lower fraction and flip it to divide to get

tan(\frac{\theta}{2})=-\frac{3}{5}*\frac{5}{1} which of course simplifies to

-3.  Choice A.

6 0
3 years ago
Diya spent 2/5 of her money on a dress and 1/2 of the reminder on a doll. She spent $8 more o the dress than the doll. How much
Elena L [17]

Answer:

$24

Step-by-step explanation:

2/5 — dress

3/5 — remainder

1/2 of remainder = 1/2 × 3/5 = 3/10 — doll

rewrite fraction spent on dress: 4/10

dress - doll = $8

4/10 - 3/10 = 1/10

1/10 = $8

fraction of money left = 10/10 - 4/10 - 3/10

= 3/10

amount of money left = $8 × 3

$24

8 0
3 years ago
On a venn diagram shade the region<br>a'n(bnc)​
svlad2 [7]

Answer:

See the three attached images.

Step-by-step explanation:

image1 shows the intersection of b and c:  b \cap c. (green "football")

image2 shows the <u>complement</u> of a (outside a):  a'  (yellow)

image3 shows the intersection of those sets:  a'\cap (b\cap c) (green "football with a bite out of it")   :-)

3 0
3 years ago
n^2-2n-3 where n is the number of key rings in thousands, find the number of key rings sold when the profits is $5,000
ArbitrLikvidat [17]

Answer:

For the profit of $5,000, the key chains made is n = 4,000.

Step-by-step explanation:

Here the given expression , where: n = Number of key rings in thousands is given as:

P(n)  =   n²- 2 n - 3

Now, Profit is given to be $5,000.

Also, as we know 5000 = 5  x (1,000)

⇒  n²- 2 n - 3 = 5

Now, solving the above expression for the value of n, we get:

n^2 -  2 n - 3 = 5\\\implies  n^2  -2n - 8  =  0\\\implies  n^2  -4n +  2n - 8  =  0\\\implies n(n-4)  + 2(n-4)  = 0\\\implies (n-4) (n+2)  = 0

So, n = 4, OR , n = -2

Now, as n = The number of key chains. So it CANNOT BE NEGATIVE.

So,  n=  4  =  4 x (1,000)  = 4,000 key rings.

Hence, for the profit of $5,000, the key chains made is n = 4,000.

8 0
3 years ago
What is the distance between the tick marks on the number line?
Zigmanuir [339]

Answer:

a 1/5

Step-by-step explanation:

5 0
2 years ago
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