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Free_Kalibri [48]

3 years ago

9

Given the point, P, that exists on a great circle on the surface of a sphere, explain why no line can be drawn on the sphere tha

t I parallel to the great circle containing P.

1 answer:

erma4kov [3.2K]3 years ago

6 0

Answer:

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How many positive integers less than 100 have at least one digit that is a 9? (Let T be the set of positive integers less than 1

Ymorist [56]

Answer:

19

Step-by-step explanation:

Let T be the set of positive integers less than 100 with a 9 in the ten's place.

T = {90, 91, 92, 93, 94, 95, 96, 97, 98, 99}

n(T) = 10

Let O be the set of positive integers less than 100 with a 9 in the one's place.

O = {9, 19, 29, 39, 49, 59, 69, 79, 89, 99}

n(O) = 10

The common element is 99.

$T\cap O={99}$

$n(T\cap O)=1$

The union of both sets is

$n(T\cup O)=n(T)+n(O)+n(T\cap O)$

$n(T\cup O)=10+10-1$

$n(T\cup O)=19$

Therefore, 19 positive integers are less than 100 those have at least one 9.

6 0

4 years ago

What is the solution to<br> -30 + k = 9?<br> 1. k=-39<br> 2.k=-21<br> 3.k=39<br> 4.k=21

slamgirl [31]

Answer:

k=39

Step-by-step explanation:

-30 + k = 9

k=9+30

k=39

4 0

3 years ago

Read 2 more answers

True or false: Outliers can cause data sets to be skewed.

Natali [406]

True - since the outlier is way off it will cause your average to mess up which is why we test multiple times to make sure we are more accurate with our numbers

4 0

2 years ago

Read 2 more answers

I have to solve for X

erastova [34]

Starting off with the base equation.
<span><span>x<span>(<span>1−x</span>)</span></span>=<span>−6

</span></span>Simplify both sides of the equation.<span><span><span>−<span>x2</span></span>+x</span>=<span>−6

</span></span>Subtract -6 from both sides.<span><span><span><span>−<span>x2</span></span>+x</span>−<span>(<span>−6</span>)</span></span>=<span><span>−6</span>−<span>(<span>−6</span>)</span></span></span><span><span><span><span>−<span>x2</span></span>+x</span>+6</span>=0

</span>Factor left side of equation.<span><span><span>(<span><span>−x</span>−2</span>)</span><span>(<span>x−3</span>)</span></span>=0

</span>Set factors equal to 0.<span><span><span><span>−x</span>−2</span>=<span><span><span>0 or </span>x</span>−3</span></span>=0</span><span><span>x=<span>−<span><span>2 or </span>x</span></span></span>=3</span>

6 0

4 years ago

Which are correct representation of the inequality minus 32X -5 less than 52 minus X select two options

Murljashka [212]

Answer:

The value of X is more than equal to -1.83.

Step-by-step explanation:

We need to find the correct representation of the inequality 'minus 32X -5 less than 52 minus X'

LHS of the inequality will be : -32x-5

RHS of the inequality will be : (52-X)

So,

$-32X-5\leq 52-X$

Adding X both sides

$-32X-5+X\leq 52-X+X\\\\-31X-5\leq 52$

Adding 5 to both sides,

$-31X-5+5\leq 52+5\\\\-31X\leq 57$

Dividing both sides by -31.

$X\geq \dfrac{-57}{31}\\\\X\geq -1.83$

So, the value of X is more than equal to -1.83.

5 0

3 years ago