All categories

3 years ago

PLS HELP!! WILL AMRK BRAINLIEST IF RIGHT

Mathematics

1 answer:

trasher [3.6K]3 years ago

3 0

9514 1404 393

Answer:

3 feet

Step-by-step explanation:

The equation with all the parameters filled in is ...

f(t) = -16t² +8t +2

The maximum height occurs at the vertex of the function, which can be written in vertex form as ...

f(t) = -16(t² -1/2t) +2

f(t) = -16(t² -1/2t +1/16) +2 +16(1/16)

f(t) = -16(x -1/4)² +3

The vertex of the graph is (1/4, 3), so the maximum height is 3 feet.

You might be interested in

Solve the proportion to determine the value of x4x/15=60/x

frozen [14]

4x/15 = 60/x
4x^2 = 900
x^2 = 225
x = 15

4 0

4 years ago

Approximately 4% of silicon wafers produced by a manufacturer have fewer than two large flaws. If Y, the number of flaws per waf

Doss [256]

Y ~ Po (λ)

P(Y < 2) = P(Y ≤ 1) = 0.04

Plug into the pdf for Po(λ), and solve for λ

After that, use your answer to find P(Y > 5)

6 0

3 years ago

What is the answer to this question having trouble answering it

Luda [366]

Answer:

Step-by-step explanation:

KL + KJ = 17

2 + 3x + 5x - 1 = 17 add like terms

8x + 1 = 17 subtract 1 from both sides

8x = 16 divide both sides by 8

x = 2

KL = 5x - 1 replace x with 2

5*2 - 1 = 9

4 0

3 years ago

One angle of a triangle measures <img src="https://tex.z-dn.net/?f=10degrees" id="TexFormula1" title="10degrees" alt="10degrees"

iVinArrow [24]

Answer:

$One\ angle: 35^o\\Second\ angle: 25^o\\Third\ angle: 120^o$

Step-by-step explanation:

Let

x ----> the measure of one angle of the triangle

y ---> the measure of the second angle

z ----> the measure of the third angle

we know that

The sum of the measure of the interior angles in any triangle must be equal to 180 degrees

$x+y+z=180^o$ -----> equation A

One angle of a triangle measures 10 degrees more than the second

$x=y+10$ ----> equation B

The measure of the third angle is twice the sum of the first two angles

$z=2(x+y)$ ---> equation C

substitute equation B in equation C

$z=2(y+10+y)$

$z=4y+20$ ----> equation D

substitute equation D and equation B in equation A

$(y+10)+y+(4y+20)=180^o$

solve for y

$6y=180-30\\6y=150\\y=25^o$

Find the value of x

$x=25+10=35^o$

Find the value of z

$z=4(25)+20=120^o$

therefore

$One\ angle: 35^o\\Second\ angle: 25^o\\Third\ angle: 120^o$

5 0

4 years ago

The annual energy consumption of the town where Camilla lives in creases at a rate that is onal at any time to the energy consum

boyakko [2]

Answer:

6.575 trillion BTUs

Step-by-step explanation:

Let represent the annual energy consumption of the town as E

The rate of annual energy consumption * energy consumption at time past

dE/dt * E

dE/dt =K

k = the proportionality constant

c= the integration constant

(dE/dt=) kdt

lnE = kt + c

E(t) = e^kt+c ⇒ e^c e^kt e^c is a constant, and e^c = E₀

E(t) = E₀ e^kt

The initial consumption of energy is E(0)=4.4TBTU

set t = 0 then

4.4 = E₀ e⇒ E₀ (1)

E₀ = 4.4

E (t) = 4.4e^kt

The consumption after 5 years is t = 5, e(5) = 5.5TBTU

so,

E(5) = 5.5 = 4.4e^k(5)

e^5k = 5/4

We now take the log 5kln = ln(5/4)

5k(1) = ln(5/4)

k = 1/5 ln(5/4) = 0.04463

We find the town's annual energy consumption, after 9 years

we set t=9

E(9) = 4.4e^0.04463(9)

= 4.4(1.494301) = 6.5749TBTUs

Therefore the annual energy consumption of the town after 9 years is

= 6.575 trillion BTUs

3 0

4 years ago