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3 years ago

Please help me with my homework

Mathematics

1 answer:

Alona [7]3 years ago

4 0

so for A it is 16 times as large because the area is 3*3 which is 9 but since it is a triangle the area is halved and is 4.5 and divide 72 by 4.5 which gives us 16

then for b I believe that the scale factor is 4

and for C it is asking for the bottom side of the scaled copy not of triangle A and 4*3=12 so the bottom is 12

ok now its complete =)

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Which scatterplot demonstrates a non-linear relationship between x and y?

stiks02 [169]

Answer:

D, or the bottom right.

Step-by-step explanation:

8 0

2 years ago

Tags in Delaware consist of two letters followed by three numbers. If the letters can be repeated but the numbers cannot be repe

Alex Ar [27]

We have 26 letters and 10 digits.

So, we have 26 choices for the first letter, 25 choices for the second letter (we can't pick the one we already chose), and 10 choices per digit (we can always choose any digit, because we can repeat them).

This leads to a total of

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2 years ago

Howdo i find a rate of two numbers?

harina [27]

I don't know if you can find a rate with 2 numbers. You can find a rate with 2 sets of numbers. If you only have 2 numbers you cannot do much.

however if the problem says something like x changed from 45 to 65 over some x values that are not given you can find the rate. this is because you are actually given 2 sets of numbers. It it doesn't have to be x and y. It could say it another way. let's say it says you get on the freeway at 45 mph and when you see yout exit sign you are traveling 65 mph. What is your rate of change. this can actually be written in (x,y) form. in both of these examples you can say (x1, 45) and (x2, 65).

well the rate of change would just be the difference in y values per the difference in x values. If you think about it, this is just the slope of the line it creates. (y2 - y1) / (x2 - x1).
or:
(64 - 45) / (x2 - x1).
20 / (x2 - x1).

this can be worded as we had a rate of change of 20 per (x2 - x1) time period.

or you could say out rate of change was just 20 if of the time period is already understood.

i hope this helps. I am not sure if it was what you were asking

5 0

3 years ago

Which table would it be

Sladkaya [172]

Answer:

Step-by-step explanation:

7 0

3 years ago

Apply Gaussian quadrature with n = 4 to approximate integrate sin x^2dx from 1 to 5

maks197457 [2]

First, recall that Gaussian quadrature is based around integrating a function over the interval [-1,1], so transform the function argument accordingly to change the integral over [1,5] to an equivalent one over [-1,1].

$x=2t+3\iff t=\dfrac x2-\dfrac32\implies2\mathrm dt=\mathrm dx$
$x=1\implies t=\dfrac{2-6}4=-1$
$x=5\implies t=\dfrac{10-6}4=1$

So,

$\displaystyle\int_{x=1}^{x=5}\sin x^2\,\mathrm dx=\displaystyle2\int_{t=-1}^{t=1}\sin(2t+3)^2\,\mathrm dt$

Let $f(t)=2\sin(2t+3)^2$ . With $n=4$ , we're looking for coefficients $c_i$ and nodes $x_i$ , with $1\le i\le4$ , such that

$\displaystyle\int_{-1}^1f(t)\,\mathrm dt\approx c_1f(x_1)+\cdots+c_4f(x_4)$

You can either try solving for each with the help of a calculator, or look up the values of the weights and nodes (they're extensively tabulated, and I'll include a link to one such reference).

Using the quadrature, we then have

$\displaystyle\int_{-1}^1f(t)\,\mathrm dt\approx0.3749f(-0.8611)+0.6521f(-0.3400)+0.6521f(0.3400)+0.3749f-0.8611)$
$\displaystyle\int_{-1}^1f(t)\,\mathrm dt\approx0.5790$

4 0

2 years ago