All categories

3 years ago

Congratulations! You've graduated college as a Physics & Mathematics double major, and

Mathematics

2 answers:

zhannawk [14.2K]3 years ago

8 0

Knock knock

Who is there?

Joe

Joe who?

Joe mama!

I thought I would share a joke with y’all to make your day

monitta3 years ago

4 0

Answer:

Step-by-step explanation:

You might be interested in

What is the value of c in the interval (5,8) guaranteed by Rolle's Theorem for the function g(x)=−7x3+91x2−280x−9? Note that g(5

jeyben [28]

Answer:

$\displaystyle c = \frac{20}{3}$

Step-by-step explanation:

According to Rolle's Theorem, if f(a) = f(b) in an interval [a, b], then there must exist at least one <em>c</em> within (a, b) such that f'(c) = 0.

We are given that g(5) = g(8) = -9. Then according to Rolle's Theorem, there must be a <em>c</em> in (5, 8) such that g'(c) = 0.

So, differentiate the function. We can take the derivative of both sides with respect to <em>x: </em>

<em /> $\displaystyle g'(x) = \frac{d}{dx}\left[ -7x^3 +91x^2 -280x - 9\right]$ <em />

Differentiate:

$g'(x) = -21x^2+182x-280$

Let g'(x) = 0:

$0 = -21x^2+182x-280$

Solve for <em>x</em>. First, divide everything by negative seven:

$0=3x^2-26x+40$

Factor:

Zero Product Property:

$x-2=0 \text{ or } 3x-20=0$

Solve for each case. Hence:

$\displaystyle x=2 \text{ or } x = \frac{20}{3}$

Since the first solution is not within our interval, we can ignore it.

Therefore:

$\displaystyle c = \frac{20}{3}$

3 0

2 years ago

A stamp has the Length of 1/2 cm and a width of 1 1/2 is the area of the stamps

avanturin [10]

Answer:

$Area = \frac{3}{4} cm^2$

Step-by-step explanation:

Given

$Length =\frac{1}{2}\ cm$

$Width = 1\frac{1}{2}\ cm$

Required

Determine the Area

Area is calculated as follows

$Area = Length * Width$

Substitute values for Length and Width

$Area = \frac{1}{2} * 1\frac{1}{2}$

Convert mixed fraction

$Area = \frac{1}{2} * \frac{3}{2}$

$Area = \frac{3}{4}$

Hence, the area is

$Area = \frac{3}{4} cm^2$

3 0

2 years ago

Mrs. Magdalino kept records on how much she spent on gasoline and the maintenance of her car. She found that it cost $485 to dri

algol [13]

Answer:

C = 0.97m
$1164 for 1200 miles
845 miles for $820

Step-by-step explanation:

Given a car's cost of operation is $485 for 500 miles, you want an equation relating cost for m miles, and solutions to that equation for 1200 miles, and for a cost of $820.

The cost per mile is found by dividing the cost by the associated number of miles:

$485/(500 mi) = $0.97 /mi

<h3>Equation</h3>

The equation for the cost will show the cost as the cost per mile multiplied by the number of miles:

C = 0.97m . . . . . where C is cost in dollars for m miles driven

<h3>1200 miles</h3>

The cost for driving $1200 miles will be ...

C = 0.97(1200) = $1164

The cost of driving 1200 miles is $1164.

The number of miles that can be driven for a cost of $820 is ...

820 = 0.97m

m = 820/0.97 = 845.36

About 845 miles are driven for a cost of $820.

3 0

8 months ago

Frank purchased a boat for $7,525. He made a down payment of $475. He applied for a six-year installment loan with an interest r

zhenek [66]

Answer:

$10,603.20

Step-by-step explanation:

You can calculate the simple interest of the loan using the formula:

I = prt, where I = interest, p = principal amount, r = interest rate and t = time. Plugging in the values from the problem:

p = $7,050

r = 8.4% or 0.084

t = 6 years

I = (7050)(0.84)(6) = $3,553.20

To find the total cost of the boat, add the interest and the purchase price:

$7,525 + $3,553.20 = $11,078.20

8 0

3 years ago

Which number produces an irrational number when added to 0.5?

Andru [333]

It would be the square root of 3

5 0

2 years ago