All categories

3 years ago

Identify the middle line for the function.

2 answers:

7 0

The solution to the problem is as follows:

'(t) = 0 gives:

-24t + 60 = 0

t = 2.5

For this t, the second derivative s"(t) = -24 is negative.

And so, s(t) is maximum for t = 2.5.

Maximum height is:

S = -12(2.5)^2 + 60(2.5) +8 = 233ft

I hope my answer has come to your help. God bless and have a nice day ahead!

soldi70 [24.7K]3 years ago

6 0

Hello there.

Identify the middle line for the function.

Identify the middle line for the function: f (t) = 5sec(3t − π) + 1.

y = 2

You might be interested in

The price of the box of 15 stickers is $6. The price of the box of 25 stickers is $8. All prices are without tax, and the price

spayn [35]

Answer:

A box of 50 stickers would cost $13

Explanation:

1- getting the equation representing the price:

We have two variables; the number of stickers and the price of the box

We can note that the price is the dependent variable (y) while the number of stickers is the independent one (x)

We are given that:

A box of 15 stickers cost $6..........> first point is (15,6)

A box of 25 stickers cost $8 ........> second point is (25,8)

The general equation of the linear line is:

y = mx + c

where m is the slope and c is the y-intercept

i. getting the slope:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{8-6}{25-15}=0.2$

The equation now became: y = 0.2x + c

ii. getting the y-intercept:

To get the y-intercept, use any of the given points and substitute in the equation we got in part i. I will use the point (15,6)

y = 0.2x + c

6 = 0.2(15) + c

c = 6 - 0.2(15) = 3

The final equation is:

y = 0.2x + 3

where y is the price of the box and x is the number of stickers it contains

2- getting the price of a box with 50 stickers:

To get the price of a box of 50 stickers, simply substitute with x = 50 in the equation we got from part 1

This is done as follows:

y = 0.2(50) + 3 = 13

Therefore, a box of 50 stickers will cost $13

Hope this helps :)

5 0

3 years ago

What is the selling price of an item if the original cost is $784.50 and the markup on the item is 6.5 percent?

JulijaS [17]

Answer:

Solution:

Given, cost price = $784.50

Profit = 6.5% of cost price

= 6.5/100 × $784.50

= $50.9925 [since, profit% is always on C.P.]

And selling price = cost price + profit

= $784.50 + $50.9925

= $835.4925

Hence, selling price = $835.4925

5 0

2 years ago

Read 2 more answers

The Monthly Bank pays 3 percent interest, compounded monthly, on their savings accounts. The Daily Bank pays 3 percent interest,

Novosadov [1.4K]

Answer:

The amount that we should deposit in each bank is around $942.

Step-by-step explanation:

Case 1:

A=$1000

n = 12

t = 2

r = 3% or 0.03

p = ?

The compound interest formula is :

$A=p(1+\frac{r}{n})^{nt}$

Substituting values in the formula;

$1000=p(1+\frac{0.03}{12})^{12\times2}$

=> $1000=p(1.0025)^{24}$

=> $1000=1.06175p$

$p=\frac{1000}{1.06175}$

p = $941.84

Case 2:

A=$1000

n = 365

t = 2

r = 3% or 0.03

p = ?

$1000=p(1+\frac{0.03}{365})^{365\times2}$

=> $1000=p(1.0000822)^{730}$

=> $1000=1.06184p$

$p=\frac{1000}{1.06184}$

p = $941.76

The amount that we should deposit in each bank is around $942.

5 0

3 years ago

Read 2 more answers

Please help with this simple trig problem- angle of two sectors of a circle

igomit [66]

Answer:

K = (1/2)r^2(sin(θ) +θ)

Step-by-step explanation:

The area of the triangle to the left is ...

A1 = (1/2)r^2·sin(180°-θ) = (1/2)r^2·sin(θ)

The area of the sector to the right is ...

A2 = (1/2)r^2θ

so the total area of the blue shaded region is ...

K = A1 + A2 = (1/2)r^2·sin(θ) + (1/2)r^2·θ

K = (1/2)r^2(sin(θ) +θ)

4 0

3 years ago

What’s the correct answer for this?

Yanka [14]

The answer would be 13.9 kg of gravel used per square meter

6 0

3 years ago

Read 2 more answers