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schepotkina [342]
3 years ago
9

How do I solve this problem?

Mathematics
2 answers:
bulgar [2K]3 years ago
6 0

Answer:

3\frac{4}{8} cups

Step-by-step explanation:

<u>To subtract two fractions with different denominators easily, you can find the LCM of the denominators to make a simple subtraction problem.</u>

LCM - <em>Lowest Common Multiple</em>

<u>To find the LCM of two numbers, write down each numbers' times tables until they have a common number:</u>

4 - 4, 8, 12, 16, 20,....

8 - 8, 16, 24, 32, 40,....

Because 8 is the first number to be in both numbers' multiples, it is the LCM of 4 and 8.

<u>Now that the LCM has been determined, you need both denominators to be 8. This is an easy process as it is simple multiplication:</u>

3 \frac{1}{4} → \frac{1}{4} × \frac{2}{2} = \frac{2}{8}

6 \frac{6}{8} → no multiplication needed.

<u>Now to subtract:</u>

6 \frac{6}{8} - 3 \frac{2}{8} = 3 \frac{4}{8}

Because the question does not want a simplified fraction, the final answer is 3 \frac{4}{8} cups.

romanna [79]3 years ago
3 0

Answer:

It will be 3 4/8 or 3 1/2

<u><em>PLS MARK BRAINLIEST</em></u>

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Suppose that the probability density function ofthe length of computer cables is f (x) = 0.1 from 1200 to1210 millimeters.a. Det
Ann [662]

Notice that f(x)=0.1 for 1200\le x\le1210 implies that f(x)=0 elsewhere, since

\displaystyle\int_{1200}^{1210}f(x)\,\mathrm dx=1

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E[X]=\displaystyle\int_{-\infty}^\infty x\,f(x)\,\mathrm dx=0.1\int_{1200}^{1210}x\,\mathrm dx=1205

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\operatorname{Var}[X]=E[(X-E[X])^2]=E[X^2]-E[X]^2

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8 0
4 years ago
Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the given curves about the s
Furkat [3]

Answer:

\frac{16\pi}{3}.

Step-by-step explanation:

I graphed the region in the image below. The blue line is y=3, the purple line is x=1 and the green curve is y = 4x-x^{2}. The shaded region in blue is the region we are going to rotate.

Now, to find the volume  v= 2\pi \int\limits^a_b {p(x)h(x)} \, dx where a=1, b=3 (left and right points of the region), p(x) is the distance from the rotation axis to the diferential Δx, we say p(x)=x and h(x) is the height of the region, in this case is h(x)= 4x-x^{2}-3. Then,

v =  2\pi \int\limits^1_3 {x(4x-x^{2}-3)} \, dx

=  2\pi \int\limits^1_3 {4x^{2}-x^{3}-3x} \, dx

= 2\pi (\frac{4x^{3}}{3}-\frac{x^{4}}{4}-\frac{3x^{2}}{2})^{3}_1

= 2\pi (36-\frac{81}{4}-\frac{27}{2}-\frac{4}{3}+\frac{1}{4}+\frac{3}{2})

= 2\pi*\frac{8}{3}

=  \frac{16\pi}{3}.

8 0
3 years ago
How do I find X for this problem? I’m stuck
Bas_tet [7]

Corresponding sides of the two triangles occur in a ratio with one another. In particular, you have the relationship

\dfrac6{6+x}=\dfrac{10}{15}=\dfrac y{y+4}

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\dfrac6{6+x}=\dfrac{10}{15}\implies6\cdot15=10(6+x)\implies90=60+10x\implies30=10x

\implies\boxed{x=3}

8 0
4 years ago
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