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3 years ago

What is the value of the expression-2.1(4.7+(-7.4)

Mathematics

2 answers:

gtnhenbr [62]3 years ago

8 0

The answer is 5.67.

SIZIF [17.4K]3 years ago

5 0

-2.1(4.7+(-7.4))
-2.1(-2.7)

Your answer is...
5.67

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Trevor is making 2/3 of a recipe for chicken noodle soup. He adds ½ cup of chopped celery. The equation 2/3 c = 1/2 can be used

Nikitich [7]

Answer:

Cups of chopped celery in original recipe = $\frac{3}{4}\ cups$

Step-by-step explanation:

Given that:

Trevor is making 2/3 of a recipe

Number of cups of chopped celery used = 1/2 cup

The following equation can be used to find the original number of cups of chopped celery used in recipe.

$\frac{2}{3}c=\frac{1}{2}$

Multiplying both sides by 3/2

$\frac{3}{2}*\frac{2}{3}c=\frac{1}{2}*\frac{3}{2}\\\\c= \frac{3}{4}\\$

Hence,

Cups of chopped celery in original recipe = $\frac{3}{4}\ cups$

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The estimated value of the integral from 0 to 2 of x cubed dx , using the trapezoidal rule with 4 trapezoids is

bulgar [2K]

The integral is approximated by the sum,

$\displaystyle\int_0^2f(x)\,\mathrm dx\approx\sum_{n=0}^4\frac12\times\frac{f(x_n)+f(x_{n+1})}2=\frac14\sum_{n=0}^3(f(x_n)+f(x_{n+1}))$

where $f(x)=x^3$ and $x_n=\dfrac12n$ , giving you

$\displaystyle\frac14\sum_{n=0}^3\bigg(\left(\frac n2\right)^3+\left(\frac{n+1}2\right)^3\bigg)$
$\displaystyle\frac1{32}\sum_{n=0}^3(n^3+(n+1)^3)$
$\displaystyle\frac1{32}\sum_{n=0}^3(2n^3+3n^2+3n+1)$

Faulhaber's formulas make short work of computing the sum. You have

$\displaystyle\sum_{n=0}^k1=k+1$
$\displaystyle\sum_{n=0}^kn=\frac{k(k+1)}2$
$\displaystyle\sum_{n=0}^kn^2=\frac{k(k+1)(2k+1)}6$
$\displaystyle\sum_{n=0}^kn^3=\frac{k^2(k+1)^2}4$

which gives

$\displaystyle\frac1{16}\sum_{n=0}^3n^3+\frac3{32}\sum_{n=0}^3n^2+\frac3{32}\sum_{n=0}^3n+\frac1{32}\sum_{n=0}^31$
$\displaystyle\frac{36}{16}+\frac{42}{32}+\frac{18}{32}+\frac4{32}$
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A table is set for dinner. can the legs of the table and the top of the table lie in parallel planes

Zepler [3.9K]

Answer:

Step-by-step explanation:

the legs of a table are perpendicular the top of the table because they intersect at 90° since they are perpendicular, they clearly intersect, so they cannot lie in parallel planes

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