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3 years ago

Divide.

Mathematics

1 answer:

avanturin [10]3 years ago

4 0

Answer: 487, B.

Step-by-step explanation:

24350 ÷ 50 = 487.

Divide :)

The answer is 487, or B.

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The industrial process that is used to convert a fuel to gasoline is carried out at a temperature range of 660 degrees°F to 790

NARA [144]

Answer:

$|F-725|$

With F represent the variable of interest:

$-65< F-725< 65$

$-65+725< F< 65+725$

$660 < F< 790$

Step-by-step explanation:

For this case we have a normal limits for the temperature Range. The minimum is 660 F and the maximum 790 F.

We can find the midpoint of this interval like this:

$Midpoint= \frac{660+790}{2}= 725$

And the difference between the midpoint and the limits are:

$|790-725|= 65$

$|680-725|= 65$

So then we can create the following inequality:

$|F-725|$

With F represent the variable of interest.:

$-65< F-725< 65$

$-65+725< F< 65+725$

$660 < F< 790$

5 0

3 years ago

Simplify the expression 3x(x – 12x) + 3x2 – 2(x – 2)2. Which statements are true about the process and simplified product? Check

kirill115 [55]

Given: The algebraic expression 3x(x – 12x) + 3x² – 2(x – 2)² --------(i)

To prove: The final simplified product = –28x² +8x – 8.

Solution:

Step No. 1

First, we shall expand the term (x – 2)² by using Identity (a-b)²= a² + b² - 2ab

So, (x – 2)² = x² + 4 - 4x

From given expression (i)

3x(x – 12x) + 3x² – 2(x² + 4 - 4x) --------(ii)

Step No. 2

Now, we shall multiply by the terms within the parentheses in (ii)

(3x² – 36x²) + 3x² – (2x² + 8 - 8x) --------(iii)

Step No. 3

Now, we shall simplify the terms within the parentheses in (iii)

(– 33x²) + 3x² – (2x² + 8 - 8x) --------(iv)

Step No. 4

Now, we shall open the parentheses to eliminate parentheses in (iv)

– 33x² + 3x² – 2x² - 8 + 8x --------(v)

Step No. 5

Now, we shall add and subtract the like terms in (v)

– 28x² + 8x -8 --------(vi)

Hence, the simplified expression will be – 28x² + 8x -8

8 0

3 years ago

Read 2 more answers

Yesterday I ran 5 miles. Today, I ran 3.7 Miles.

Stella [2.4K]

Answer:

percent decrease

26%

Step-by-step explanation:

Yesterday you ran 5 miles

Today you ran 3.7 miles

The amount went down, so the percent decreased

The percent decrease = (original - new)/original * 100 %

= (5-3.7)/5 * 100%

= 1.3/5 * 100 %

=.26 *100%

= 26%

5 0

2 years ago

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Let f(x) = cxe−x2 if x ≥ 0 and f(x) = 0 if x < 0.

sergij07 [2.7K]

(a) If f(x) is to be a proper density function, then its integral over the given support must evaulate to 1:

$\displaystyle\int_{-\infty}^\infty f(x)\,\mathrm dx = \int_0^\infty cxe^{-x^2}\,\mathrm dx=1$

For the integral, substitute u = x ² and du = 2x dx. Then as x → 0, u → 0; as x → ∞, u → ∞:

$\displaystyle\frac12\int_0^\infty ce^{-u}\,\mathrm du=\frac c2\left(\lim_{u\to\infty}(-e^{-u})-(-1)\right)=1$

which reduces to

c / 2 (0 + 1) = 1 → c = 2

(b) Find the probability P(1 < X < 3) by integrating the density function over [1, 3] (I'll omit the steps because it's the same process as in (a)):

$\displaystyle\int_1^3 2xe^{-x^2}\,\mathrm dx = \boxed{\frac{e^8-1}{e^9}} \approx 0.3678$

5 0

2 years ago

The graph shows the relationship between daily caffeine consumption and resting heart rate for some adults. Which phrases descri

Step2247 [10]

Given a graph showing the relationship between daily caffeine consumption and resting heart rate for some adults.

In the graph, the y-axis is labelled 'resting heart rate (bpm)' while the x-axs is labelled 'total coffee intake (cups)'

From the graph it can be seen that the y-value increases as the x-value increases.

Thus the phrases that describe the relationship between heart rate and daily intake of caffeine are as follows:

increasing heart rate and positive correlation

7 0

3 years ago

Read 2 more answers