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2 years ago

5 gal. x 20 mpg = ? mi.

2 answers:

8 0

5 Gallons x 20 MPG = 100 miles
----------------------------------------------
10 miles cannot be underestimate
10 mile is an overestimate
100 miles isn't underestimated.
Pretty sure the answer is D) 100 miles, which is an overestimated

konstantin123 [22]2 years ago

5 0

Pretty sure it’s c cause 5 x 20 = 100

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What is the solution to the equation 4 + 3/2y = 6?

inn [45]

Answer:

y=4/3

Step-by-step explanation:

3 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

What is the multiplicative rate of change of the function

mario62 [17]

Answer: B $\frac{2}{3}$

Step-by-step explanation:

From the given table

When x changes from 1 to 2 , value of y changes from 6 to 4

The multiplicative rate of change= $\frac{4}{6}=\frac{2}{3}$

Similarly we can check

When x changes from 2 to 3 , value of y changes from 4 to $\frac{8}{3}$

The multiplicative rate of change= $\frac{\frac{8}{3}}{4}=\frac{2}{3}$

When x changes from 3 to 4 , value of y changes from $\frac{8}{3}$ to $\frac{16}{9}$

The multiplicative rate of change= $\frac{\frac{16}{9}}{\frac{8}{3}}=\frac{2}{3}$

Therefore, the multiplicative rate of exponential function = $\frac{2}{3}$

5 0

3 years ago

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Nancy had 16 chocolate candies in a bag. Her mother put a handful of candies in the bag. When Nancy counts her chocolate candies

ryzh [129]

The equation should look something like:

x+16 = 32

16+x = 32

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2 years ago

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Is a positive integer raised to a negative power always positive

Evgesh-ka [11]

Answer:

Yes

Step-by-step explanation:

Many students gets confused with these exponential problems, they often get misguided but understand that there is nothing to be confused of.

When you have a negative number, you just take the reciprocal of the whole exponent number.

What is a reciprocal?

Let's take an integer for example, let's take the number 3.

The reciprocal for 3 is (1/3)

Let's take an other number, let's take 2/3

The reciprocal for 2/3 is (3/2)

In conclusion, we just reverse the denominator and the numerator or just switch it.

We take 3 as (3/1) and that is the reason, the reciprocal would be (1/3)

Now, coming to the negative integers. Taking an example:

(2)⁻¹

This would be become (1/2¹) = (1/2)

Hence, the result of a negative integer is positive but would be a fraction.

Hope I helped!

3 0

3 years ago