All categories

2 years ago

Help me with this question please :)

Mathematics

1 answer:

Inessa05 [86]2 years ago

4 0

<h3>Answer: 5040</h3>

Explanation:

There are 7 ways to pick the first place position, then 6 ways for second place, 5 for third, and so on. We count down until we get to 1

7,6,5,4,3,2,1

Multiply out those values to get the final answer. On many calculators this can be done using the factorial button, indicated as an exclamation mark

7! = 7*6*5*4*3*2*1 = 5040

You might be interested in

A television screen measures 30 cm wide and 22 cm high. what is the diagonal measure of the screen

vladimir2022 [97]

I hope this helps you

8 0

4 years ago

U have to do it on a graph and help me pls!<br><br> (Domain and Range)

svp [43]

Answer:

Please refer to the image attached to this

Step-by-step explanation:

Q10: The graph is represented in Black

Q11 : The Graph is represented in Blue

Q 12 : The graph is represented in Green

6 0

3 years ago

Ah! Okay, need help solving 14, and just checking for 16 and 4.

Allisa [31]

4. Correct. You also could have used the limit test for divergence for the same conclusion (the summand approaches infinity).

- - -

14. I'm guessing the instructions are the same as for 16. Rewrite as

$f(x)=\dfrac4{2x+3}=\dfrac{\frac43}{1-\left(-\frac{2x}3\right)}$

Now recall that for $|x|$ , we have

$\dfrac1{1-x}=\displaystyle\sum_{n\ge0}x^n$

so that for this function, we get

$f(x)=\dfrac43\displaystyle\sum_{n\ge0}\left(-\frac{2x}3\right)^n$

Because this is a geometric sum, this converges when $\left|-\dfrac{2x}3\right|$ , or $|x|$ . This would be the interval of convergence.

Your hunch about checking the endpoints is correct. Checking is easy in this case, because at the endpoints (-3/2 and 3/2) the series obviously diverges.

- - -

16. This one is kind of tricky, and there's more than one way to do it. The standard method would be to take the antiderivative:

$F(x)=\displaystyle\int f(x)\,\mathrm dx=\int\frac{\mathrm dx}{(1+x)^2}=-\frac1{1+x}+C$

We also have

$\displaystyle-\frac1{1+x}=-\frac1{1-(-x)}=-\sum_{n\ge0}(-x)^n\implies F(x)=C-1-\sum_{n\ge1}(-x)^n$

and differentiating this gives

$f(x)=-\displaystyle\sum_{n\ge1}n(-x)^{n-1}=-\sum_{n\ge0}(n+1)(-x)^n=\sum_{n\ge0}(n+1)(-1)^{n+1}x^n$

By the ratio test, this converges when

$\displaystyle\lim_{n\to\infty}\left|\frac{(n+2)(-1)^{n+2}x^{n+1}}{(n+1)(-1)^{n+1}x^n}\right|$

The limit reduces to

$\displaystyle|x|\lim_{n\to\infty}\frac{n+2}{n+1}=|x|$

and so the series converges absolutely for $|x|$ . Checking the endpoints is also easy in this case. The factor of $n+1$ is a clear sign that the series will diverge at either extreme.

7 0

3 years ago

3.6.PS-11

mixer [17]

Answer:

$902.40

Step-by-step explanation:

The formula for simple interest is I = PRT where I is the interest paid/earned, P is the principal amount deposited/invested, R is the rate as a decimal, and T = time in years.

I = PRT

I = (800)(0.032)(4)

I = 102.4 = $102.40

Add this to the principal for the total in the account

800 + 102.40 = $902.40

4 0

3 years ago

How many times can 19 go into 40

sweet-ann [11.9K]

Answer:

19 can go into 40 two times with 2 left over, so if your makiing this into a fraction, it would look like 2 2/40

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers