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Vera_Pavlovna [14]
3 years ago
9

Benjamin drove 278 miles in 4 hours.

Mathematics
1 answer:
kondor19780726 [428]3 years ago
6 0

Step-by-step explanation:

rate \:of \: driving \\  =  \frac{278}{4}  \\  = 69.5 \: mph

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Write the equation for what is 15% of 24 of what number. please include the equation too ​
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Sorry i don’t know the answer maybe some one else knows
4 0
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Calculate the coefficients of the first four terms of the binomial expansion for the binomial (x+y)^28
MakcuM [25]

Consider the following expanded powers of (a + b)n, where a + b is any binomial and n is a whole number. Look for patterns.

Each expansion is a polynomial. There are some patterns to be noted.

1. There is one more term than the power of the exponent, n. That is, there are terms in the expansion of (a + b)n.

2. In each term, the sum of the exponents is n, the power to which the binomial is raised.

3. The exponents of a start with n, the power of the binomial, and decrease to 0. The last term has no factor of a. The first term has no factor of b, so powers of b start with 0 and increase to n.

4. The coefficients start at 1 and increase through certain values about "half"-way and then decrease through these same values back to 1.

8 0
3 years ago
If ​f(x)equals 2xminus5 and ​k(x)equals ​f(xplus3​), write the equation for​ k(x).
ololo11 [35]
F(x)=2x-5
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k(x)=2x+1
7 0
3 years ago
You deposit $800 in an account that pays 2.65% annual interest compounded continuously. What is the balance after 12 years? Use
balu736 [363]

Answer:Let P = initial investment

     r = annual interest rate (decimal form)

     t = number of years

   A(t) = amount after t years

 

Then, A(t) = Pert

 

A(12.5) = 800e(0.0265)(12.5)

 

             = 800e0.33125

 

             = $1114.17

Step-by-step explanation:

4 0
2 years ago
A theater has a seating capacity of 750 and charges $3 for children, s5 for students, and $7 for adults. At a certain screening
-BARSIC- [3]

Answer:

Between 150 and 450

Step-by-step explanation:

We are going to find the number by resolving  a system of linear equations.

First we write the system equations :

C+S+A=750

Where C : children, S : students and A : adults

The equation represents the ''full attendance''

The second equation :

3C+5S+7A=3450

This equation represents the totaled receipts.

The system :

C+S+A=750\\3C+5S+7A=3450

has the following associated matrix :

\left[\begin{array}{cccc}1&1&1&750\\3&5&7&3450\end{array}\right]

By performing elementary matrix operations we find that the matrix is equivalent to

\left[\begin{array}{cccc}1&0&-1&150\\0&1&2&600\\\end{array}\right]

The new system :

C-A=150\\S+2A=600

Working with the equations :

C = 150 + A\\S = 600-2A

Our solution vector is :

\left[\begin{array}{c}C&S&A\end{array}\right] =\left[\begin{array}{c}150+A&600-2A&A\end{array}\right]

For example :

If 0 adults attended ⇒ A = 0

C = 150 + 0 \\C = 150\\S = 600 - 2A\\S = 600

This verify the totaled receipts equation :

150($3)+600($5) = $ 3450

A ≥ 0 ⇒ If A = 0 ⇒ C = 150

C = 150 is the minimum children attendance

From the equation :

S = 600 -2A

S ≥0

600 - 2A ≥ 0

600 ≥ 2A

300≥ A

A is restricted to the interval [ 0, 300]

When A = 0 ⇒ C = 150

When A = 300 ⇒C = 150 + A = 150 + 300 = 450

Children ∈ [ 150,450]

With C being an integer number (including 0)

Also S and A are integer numbers (including 0)

7 0
3 years ago
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