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3 years ago

Determine the sum of the multiple s of 4 between 1 and 999

Mathematics

1 answer:

olga2289 [7]3 years ago

8 0

the sum of of the multiples of 4 between 1 and 999 is 124,500

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Let V=ℝ2 and let H be the subset of V of all points on the line 4x+3y=12. Is H a subspace of the vector space V?

sergejj [24]

Answer:

No, it isn't.

Step-by-step explanation:

We have $V=IR^{2}$ and let $H$ be the subset of $V$ of all points on the line

$4x+3y=12$

We need to find if $H$ is a subspace of the vector space $V$ .

In $IR^{2}$ all the possibilities for own subspace of the vector space $IR^{2}$ are :

$IR^{2}$ itself.

The vector $0_{IR^{2}}=\left[\begin{array}{c}0&0\end{array}\right]$

All lines in $IR^{2}$ that passes through the origin ( $0_{IR^{2}}=\left[\begin{array}{c}0&0\end{array}\right]$ )

We know that $H$ is the subset of $IR^{2}$ of all points on the line $4x+3y=12$

If we look at the equation, the point $\left[\begin{array}{c}0&0\end{array}\right]$ doesn't verify it because :

$4x+3y=12\\4(0)+3(0)=12\\0=12$

Which is an absurd. Therefore, $H$ doesn't contain the origin (and $H$ is a line in $IR^{2}$ ). Finally, it can't be a vector space of $V=IR^{2}$

8 0

3 years ago

Please someone actually help with this I don't understand how.

tigry1 [53]

Answer:

Scatter plot

Step-by-step explanation:

Answer is 5

8 0

3 years ago

Find the diameter of a circle with an area of 95.03 square feet.

ra1l [238]

For this case we have that the area of a circle is given by:

$A = \pi * r ^ 2$

Where:

r: It is the radius of the circle

By clearing the radio we have:

$r = \pm \sqrt {\frac {A} {\pi}}$

We take the positive value:

$r = \sqrt {\frac {A} {\pi}}\\r = \sqrt {\frac {95.03} {\pi}}\\r = 5.50 \ ft$

The diameter is twice the radius:

$d = 11$

Answer:

$11 \ ft$

7 0

3 years ago

Read 2 more answers

In order to have 1 million dollars in 40 years with an annual interest rate of 11.6%, I will have to invest $_ (round to the nea

tino4ka555 [31]

To solve the problem we use the compound formula given by:
A=p(1+r/100)^n
where:
A=future amount:
p=principle
r=rate
A=1000000, r=11.6%, n=40
plugging the value in the formula we get:
1000000=p(1+11.6/100)^40
solving for p we get:
1000000=80.6432p
p=12400.300
rounding to the nearest 1000 we get
p=$12000
Answer:
A.) 12,000

3 0

3 years ago

Javier shared his post with 4 friends, who each shared it with 4 more friends. They continued sharing at the same rate

Fittoniya [83]

First, 4 people know the post

Then, those 4 people share it each with 4 people (4 * 4 = 16)

Then, each of those people share it with another 4 people (16 * 4 = 64)

And so on. the function is as simple as: 4^x (4 to the power of x)

4 0

3 years ago