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3 years ago

Help asap please!! 50 points and BRAINLIEST!!! Thank you!!

Mathematics

1 answer:

netineya [11]3 years ago

4 0

Answer:

Like radicals are radicals that have the same number in the radical sign

So it would be 3√7 and 11√7 (reasoning is they both have a 7 underneath the radical sign)

For the second one Simplify: 35√11-√11

you want to subtract like normal 35√11-1√11, (since there isn't a number there we are going to put one)

35-1=34

34√11, You want to keep the √11, because it is like having like terms but instead of variables it is √

34√11

The third one: Simplify: 15√6+3√6

we want to do the same thing as the problem above so,

15+3=18

18√6, again you want to keep the radical the same

18√6

For the fourth one: 5√7+√7-2√7

you want to do one step at a time so

5√7+√7= 6√7 (again you would have a one in front of the √7, then you would keep your radicals the same)

Then you want to subtract that to your other one

6√7-2√7= 4√7

6-2=4, (again keep the radical the same)

4√7

For the last one

3√5*√10+11√5*√10-√5

You always want to multiply first as in PEMDAS

Lets take this one step at a time also

First 3√5*√10

When multiplying radicals you would multiply like normal

3√50 (√5*√10= √50)

3√50

Now lets do 11√5*√10

again √5*√10=√50

so 11√50

Now you are going to add your two answers together

3√50+11√50= 14√50 (you would add 3+11=14, keep the radicals the same)

Don't forget about your -√5

14√50-√5, this as simplified as you can get so your answer is

14√50-√5

I hope this helps you ;)

Step-by-step explanation:

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One card is randomly selected from a deck of cards find the odds against drawing a seven

Stella [2.4K]

Answer:

$\frac{3}{4}$

Step-by-step explanation:

Probability of getting a 7 + Probability of not getting a 7 = 1.

Odds against drawing a 7 = Probability of not getting a 7.

We could calculate the probability of getting a 7 and subtract 1 from it to get the answer.

There a four sevens in a deck of card, one of each kind.

Probability of getting a 7 = $P(7) = \frac{4}{52} = \frac{1}{13}$

$\implies P(not \hspace{1mm} getting \hspace{1mm} a \hspace{1mm} 7) = 1 - P(7)$

$\implies$ P(not getting a 7) $= 1 - \frac{1}{13} = \frac{12}{13}$

4 0

3 years ago

Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral with the specified value of n.

Vera_Pavlovna [14]

Split up the integration interval into 4 subintervals:

$\left[0,\dfrac\pi8\right],\left[\dfrac\pi8,\dfrac\pi4\right],\left[\dfrac\pi4,\dfrac{3\pi}8\right],\left[\dfrac{3\pi}8,\dfrac\pi2\right]$

The left and right endpoints of the $i$ -th subinterval, respectively, are

$\ell_i=\dfrac{i-1}4\left(\dfrac\pi2-0\right)=\dfrac{(i-1)\pi}8$

$r_i=\dfrac i4\left(\dfrac\pi2-0\right)=\dfrac{i\pi}8$

for $1\le i\le4$ , and the respective midpoints are

$m_i=\dfrac{\ell_i+r_i}2=\dfrac{(2i-1)\pi}8$

Trapezoidal rule

We approximate the (signed) area under the curve over each subinterval by

$T_i=\dfrac{f(\ell_i)+f(r_i)}2(\ell_i-r_i)$

so that

$\displaystyle\int_0^{\pi/2}\frac3{1+\cos x}\,\mathrm dx\approx\sum_{i=1}^4T_i\approx\boxed{3.038078}$

Midpoint rule

We approximate the area for each subinterval by

$M_i=f(m_i)(\ell_i-r_i)$

so that

$\displaystyle\int_0^{\pi/2}\frac3{1+\cos x}\,\mathrm dx\approx\sum_{i=1}^4M_i\approx\boxed{2.981137}$

Simpson's rule

We first interpolate the integrand over each subinterval by a quadratic polynomial $p_i(x)$ , where

$p_i(x)=f(\ell_i)\dfrac{(x-m_i)(x-r_i)}{(\ell_i-m_i)(\ell_i-r_i)}+f(m)\dfrac{(x-\ell_i)(x-r_i)}{(m_i-\ell_i)(m_i-r_i)}+f(r_i)\dfrac{(x-\ell_i)(x-m_i)}{(r_i-\ell_i)(r_i-m_i)}$

so that

$\displaystyle\int_0^{\pi/2}\frac3{1+\cos x}\,\mathrm dx\approx\sum_{i=1}^4\int_{\ell_i}^{r_i}p_i(x)\,\mathrm dx$

It so happens that the integral of $p_i(x)$ reduces nicely to the form you're probably more familiar with,

$S_i=\displaystyle\int_{\ell_i}^{r_i}p_i(x)\,\mathrm dx=\frac{r_i-\ell_i}6(f(\ell_i)+4f(m_i)+f(r_i))$

Then the integral is approximately

$\displaystyle\int_0^{\pi/2}\frac3{1+\cos x}\,\mathrm dx\approx\sum_{i=1}^4S_i\approx\boxed{3.000117}$

Compare these to the actual value of the integral, 3. I've included plots of the approximations below.

3 0

3 years ago

Five times a complement of an angle exceeds twice its supplement by 9. Find the angle

kkurt [141]

Answer:

Step-by-step explanation:

the answer is in the above image

4 0

3 years ago

(1,-2),(-2,-5) find the slope and show me how u got it please

stealth61 [152]

Answer: 1
y=1x-3
m=-3/-3=-1/-1=1

3 0

2 years ago

Read 2 more answers

Solve these equations for the variable.<br> (4p-4)(13p+27)

kondaur [170]

Answer:

p is approximately equal to 1.125, -1.925

Step-by-step explanation:

We can solve this first by expanding, giving us a quadratic equation in the usual ax² + bx + c format, then solving that for p:

(4p - 4)(13p + 27) = 0

52p² + 108p - 52p - 108 = 0

52p² + 52p - 108 = 0

13p² + 13p - 27 = 0

13p² + 13p = 27

p² + p = 27 / 13

p² + p + 1/4 = 27/13 + 1/4

(p + 1/2)² = 108 / 52 + 13 / 52

(p + 1/2)² = 121 / 52

p + 1/2 = ± √(121 / 52)

p = -1/2 ± 11√(1/13) / 2

At that point we can simply plug those numbers into a calculator and solve it:

p ≈ 1.125, -1.925

8 0

3 years ago