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3 years ago

6

Write tree hundred forty eight in standard form

1 answer:

kkurt [141]3 years ago

6 0

Answer:

348

Step-by-step explanation:

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F there are 10 yellow Skittles, how many are green?

andrezito [222]

There would be 8 green ones

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3 years ago

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A square pyramid has a base area of 36ft2 the pyramids total surface area is 144ft2 what is the area of each triangular face?

JulijaS [17]

So a square pyramid is like the pyramids in egypt so
surface area of pyhraid=base+4 triangles
surface area=144
baswe=36
subsitute
144=36+4 times triangles
subtract 36 from both sides
108=4 triggles
divide by 4
27=trignels

the area of 1 triangle is 27 ft^2

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3 years ago

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3 years ago

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If f(x) = 3x2 − 8x, 0 ≤ x ≤ 3, evaluate the Riemann sum with n = 6, taking the sample points to be right endpoints.

denis23 [38]

Split up the interval [0, 3] into 6 subintervals,

[0, 1/2], [1/2, 1], [1, 3/2], [3/2, 2], [2, 5/2], [5/2, 3]

The right endpoints are given by the arithmetic sequence,

$r_i=0+\dfrac i2=\dfrac i2$

with $1\le i\le6$ .

We approximate the integral of $f(x)$ on the interval [0, 3] by the Riemann sum,

$\displaystyle\int_0^3f(x)\,\mathrm dx=\sum_{i=1}^6f(r_i)\Delta x_i$

$\displaystyle=\frac{3-0}6\sum_{i=1}^6\left(3{r_i}^2-8r_i\right)$

$\displaystyle=\frac12\sum_{i=1}^6\left(\frac{3i^2}4-4i\right)$

$\displaystyle=\frac38\sum_{i=1}^6i^2-2\sum_{i=1}^6i$

Recall the formulas,

$\displaystyle\sum_{i=1}^ni=\frac{n(n+1)}2$

$\displaystyle\sum_{i=1}^ni^2=\frac{n(n+1)(2n+1)}6$

Then the value of the integral is approximately

$\displaystyle=\frac38\cdot\frac{6\cdot7\cdot13}6-2\cdot\frac{6\cdot7}2=\boxed{-\frac{63}8}=-7.875$

Compare to the exact value of the integral, -9.

7 0

3 years ago

Evaluate a + b for a = 2 and b = 3.

Misha Larkins [42]

For this case we have the following expression:

$a + b$

We must evaluate the expression to:

$a = 2\\b = 3$

Substituting the values in the expression we have:

$2 + 3$

Equal signs are added and the same sign is placed.

So:

$2 + 3 = 5$

Finally, the value of the expression is 5.

Answer:

$a + b = 5$ for $a = 2$ and $b = 3$

3 0

4 years ago