All categories

3 years ago

Peter piper picked 135 pickled peppers.

Mathematics

2 answers:

kotykmax [81]3 years ago

8 0

Answer:

There are 12 pickled peppers in each small batch of hot sauce. We can use the equation f = (135-3)/11 to find this answer.

kozerog [31]3 years ago

6 0

There are 12 peppers in each bottle of hot sauce

You might be interested in

Find a cubic function f(x) = ax3 + bx2 + cx + d that has a local maximum value of 3 at x = −3 and a local minimum value of 0 at

Amiraneli [1.4K]

Answer:

The cubic function is f(x) = (27/32)·x - 3/32·x³ - -9/32·x² - 9/32

Step-by-step explanation:

The given function is f(x) = a·x³ + b·x² + c·x + d

By differentiation, we have;

3·a·x² + 2·b·x + c = 0

3·a·(-3)² + 2·b·(-3) + c = 0

3·a·9 - 6·b + c = 0

27·a - 6·b + c = 0

3·a·(1)² + 2·b·(1) + c = 0

3·a + 2·b + c = 0

a·(-3)³ + b·(-3)² + c·(-3) + d = -3

-27·a + 9·b - 3·c + d = -3...(1)

a + b + c + d = 0...(2)

Subtracting equation (1) from equation (2) gives;

28·a - 8·b + 4·c = 3

Therefore, we have;

27·a - 6·b + c = 0

3·a + 2·b + c = 0

28·a - 8·b + 4·c = 0

Solving the system of equations using an Wolfram Alpha gives;

a = -3/32, b = -9/32, c = 27/32 from which we have;

a + b + c + d = 0 3 × (-3/32) + 2 × (-9/32) + (27/32) + d = 0

d = 0 - (0 3 × (-3/32) + 2 × (-9/32) + (27/32)) = -9/32

The cubic function is therefore f(x) = (-3/32)·x³ + (-9/32)·x² + (27/32)·x + (-9/32).

4 0

2 years ago

Mr. Parker wants to rent a cargo van for a day. It will cost the daily fee of $50 plus $0.35 per mile driven. Let m = the number

Iteru [2.4K]

Answer:

Step-by-step explanation:

Step one:

given data

the daily fee= $50

cost per mile driven =$0.35

Let m = the number of miles

let y be the total cost

Step two

Required

the expression for the total cost is

An algebraic expression that shows the amount he will pay for the van. is

y=0.35m+50

4 0

2 years ago

Question 10 (3 points)

Zinaida [17]

Answer:

$3,090.64

Step-by-step explanation:

We shall allocate a random letter to each value, with that I explain the formula.

Initial value of investment = $5,003.86 = P

Rate of interest = 3.7% = R

Compounding interval in a year = 365 = I

Total period = 13 years = T

Value of investment in compound interest formula shall be:

$= P \times (1 + \frac{R}{(I})^{(I \times T)}$

Now, putting values in the above equation:

$= 5,003.86 \times (1 + \frac{0.037}{365}) ^{(365\times13)}$

= $8,094.50

Thus, interest earned = Total value of investment on maturity - Initially invested amount

= $8,094.50 - $5,003.86 = $3,090.64

4 0

2 years ago

9x^3y^6/xy^6 Solve using only positive exponents

DedPeter [7]

Look at the attached picture

Hope it will help you...

Good luck on your assignment

6 0

3 years ago

Prove that 1/sin^2A -1/tan^2A= 1

Vika [28.1K]

Answer:

Step-by-step explanation:

$LHS =\dfrac{1}{Sin^{2} \ A }-\dfrac{1}{Tan^{2} \ A }\\\\\\ = \dfrac{1}{sin^{2} \ A}- \dfrac{1}{\dfrac{Sin^{2} \ A}{Cos^{2} \ A}}\\\\\\= \dfrac{1}{sin^{2} \ A } - \dfrac{Cos^{2} \ A}{Sin^{2} \ A}\\\\\\= \dfrac{1-Cos^{2} \ A}{Sin^{2} \ A}\\\\\\= \dfrac{Sin^{2} \ A}{Sin^{2} \ A}\\\\\\= 1 = \ RHS$

Hint: 1 - Cos² A = Sin² A

4 0

2 years ago