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4 years ago

What is $20.00 less than 2.5 times the amount of $64.80

2 answers:

6 0

Ok so first you take $64.80 and multiply it by 2.5. You get $162. Now take $162 and subtract $20 from it. You are left with $142.

kozerog [31]4 years ago

6 0

Ok

1) you times $64.80 by 2.5 and you will get $162.
162 x 2.5 = 162

2) Then you take away $20 from $162
162 - 20 = 142

3) 142 is the answer.
Answer =142

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Maximize and minimize quantities given an expression with two variables Question Find the difference between the maximum and min

Zolol [24]

Answer:

The difference between the maximum and minimum is

$\left(\displaystyle\frac{5}{63}\right)^2\left(\displaystyle\frac{625}{63}\right)^{250}$

Step-by-step explanation:

Since p = 10-q, we can replace p in the expression and we get a single-variable function

$f(q)=(10-q)^2q^{250}$

Taking the derivative with respect to q and using the rule for the derivative of a product

$f'(q)=-2(10-q)q^{250}+250(10-q)^2q^{249}$

Critical point (where f'(q)=0)

Assuming q≠ 0 and q≠ 10

$f'(q)=0\Rightarrow -2(10-q)q^{250}+250(10-q)^2q^{249}=0\Rightarrow\\\\\Rightarrow 250(10-q)=2q\Rightarrow q=\displaystyle\frac{625}{63}$

To check this is maximum, we take the second derivative

$f''(q)=63252q^{250}-1255000q^{249}+6225000q^{248}$

and

f''(625/63) < 0

so q=625/63 is a maximum. For this value of q we get p=5/63

The maximum value of

$p^2q^{250}$

$\left(\displaystyle\frac{5}{63}\right)^2\left(\displaystyle\frac{625}{63}\right)^{250}$

The minimum is 0, which is obtained when q=0 and p=10 or q=10 and p=0

The difference between the maximum and minimum is then

$\left(\displaystyle\frac{5}{63}\right)^2\left(\displaystyle\frac{625}{63}\right)^{250}$

3 0

4 years ago

Which function has an inverse that is also a function? y = 3 2 - 5 3 y = 322 y= x - y = 322 – 5x + 3

olasank [31]

Inverse function:

The only one that has an inverse that is a function is the third option because is a linear function (bijective)

y=1/3x-3/4

First, solve for x:

Add 3/4 to both sides:

y+3/4 = 1/3x-3/4+3/4

y+3/4 = 1/3x

Multiply both sides by 3

(y+3/4) 3 = 1/3x (3)

3y+ 9/4 = x

F^-1(y) = 3y+ 9/4

4 0

1 year ago

How many two-digit, positive integers can be formed from the digits 1, 3, 5, and 9, if no digit is repeated?

irga5000 [103]

Answer:

12

Step-by-step explanation:

Using Permutation Formula :

⁴P₂
4! / 2!
4 x 3 x 2! / 2!
4 x 3
12

8 0

3 years ago

"The product of four and a number is more than ten."

Free_Kalibri [48]

Answer:

x>5/2

Step-by-step explanation:

4x>10

x>10/4

x>5/2

3 0

3 years ago

An offshore oil well is leaking oil and creating a circular oil slick. If the radius of the slick is growing at a rate of 2 mile

Genrish500 [490]

Answer:

37.7 mi²/h

Step-by-step explanation:

The area formula is ...

A = πr²

Differentiating with respect to time gives ...

dA/dt = 2πr·dr/dt

Filling in the given values, we have ...

dA/dt = 2π(3 mi)(2 mi/h) = 12π mi²/h

The area is increasing at the rate of about 37.7 mi² per hour.

5 0

3 years ago