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2 years ago

If 1/2 plus 1/4 of my money is £3.75, how much have I?

Mathematics

2 answers:

HACTEHA [7]2 years ago

7 0

1/2 + 1/4 = 3/4
3.75 divided by 3/4 = 5

maria [59]2 years ago

3 0

Answer:

Step-by-step explanation:

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How is human impact on the tundra and the rainforests similar? a. Both have been impacted by oil drilling and mining. b. Both ha

andrew11 [14]

Answer: This is a guess I am not that smart

c. Both have been impacted by overgrazing and radioactive pollution.

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3 years ago

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What is the volume of a right trianular prism with the dimesions of 15 11 17

Harlamova29_29 [7]

Answer:

1402.5 Cubic Units

Step-by-step explanation:

Volume of a Triangular Prism: V = $\frac{1}{2}bhl$

b - base

h - height

l - length

15 is the height, 17 is the length, and 11 is the width (assuming which is the base).

$V=0.5 * (11 * 15 * 17) \\V=0.5*2085\\V=1402.5$

The volume of the prism should be 1402.5 cubic units.

3 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.

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3 years ago

If Jun has 12 t-shirts, 6 pairs of pants, and 3 pair of shoes how many ways can he dress himself up for the day?

Serjik [45]

12 x 6 x 3 =216. He can dress himself up in 216 different ways.

I hope this helps!

6 0

3 years ago

What’s the answer to this, only if u know thanks!’

VladimirAG [237]

Answer:

120+(10+2x)=180

10+2x=60

2x=50

x=25degreeeee

Step-by-step explanation:

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7 0

3 years ago

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If 1/2 plus 1/4 of my money is £3.75, how much have I? ​

If 1/2 plus 1/4 of my money is £3.75, how much have I?