use an identity to solve the equation on the interval [0,2pi) sin x cos x = -1/4 x=

We have a jumper that jumps from 1500ft above the ground, such that its height as a function of time is given by:

h(t) = -16*t^2 + 1500

The solutions are:

A) 5.59 seconds

B) 5.91 seconds

C) D = (0s, 9.68s)

    R = [0ft, 1500ft]

Notice that when t = 0, h = 1500, then at the initial time (t = 0) the height is 1500 (in ft), which means that the zero of the height is the ground.

a) How long is the jumper free fall if the parachute opens at 1000 ft?

Here we need to solve:

h = 1000 = -16*t^2 + 1500

Now we just need to solve this for t:

16*t^2 = 1500 - 1000 = 500

t^2 = 500/16 = 31.25

t = √31.25 = 5.59

So it takes 5.59 seconds to open the parachute.

B) similar to before, this time we need to solve:

h = 940 = -16*t^2 + 1500

16*t^2  =1500 - 940 = 560

t^2 = 560/16 = 35

t = √35 = 5.91

So it takes 5.91 seconds to open the parachute.

C) The domain is the set of inputs that we can use in the function.

The minimum of the domain is t = 0, when the jumper jumps.

To find the maximum of the domain we need to find the maximum time at which he could open the parachute, that is when h = 0ft, just in the ground.

Then we solve:

h = 0 = -16*t^2 + 1500

16*t^2 = 1500

t = √(1500/16) = 9.68

Then a reasonable domain is (0s, 9.68s)

And the range is the set of possible outputs, which will be all the possible heights of the jumper. We know that all of these are between 0ft and 1500ft, thus the range is [0ft, 1500ft]

If you want to learn more, you can read:

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Answer:

1/4

Step-by-step explanation:

3/4 (total weight)

3 bananas

(3/4)/3=1/4

PLS GIVE BRAINLIEST

Answer:

[tex]1.91\ \text{in}[/tex]

[tex]3.84\ \text{in}[/tex]

Step-by-step explanation:

V = Volume of cylinder = [tex]44\ \text{in}^3[/tex]

h = Height of cylinder

r = Radius of cylinder

Volume of cylinder is given by

[tex]V=\pi r^2h\\\Rightarrow h=\dfrac{V}{\pi r^2}\\\Rightarrow h=\dfrac{44}{\pi r^2}[/tex]

Total surface area of a cylinder is given by

[tex]S=2\pi r^2+2\pi rh\\\Rightarrow S=2\pi r^2+2\pi r\times\dfrac{44}{\pi r^2}\\\Rightarrow S=2\pi r^2+\dfrac{88}{r}[/tex]

Differentiating with respect to radius

[tex]\dfrac{dS}{dr}=4\pi r-\dfrac{88}{r^2}[/tex]

Equating with zero

[tex]4\pi r-\dfrac{88}{r^2}=0\\\Rightarrow 4\pi r=\dfrac{88}{r^2}\\\Rightarrow r^3=\dfrac{88}{4\pi}\\\Rightarrow r=(\dfrac{22}{\pi})^{\dfrac{1}{3}}\\\Rightarrow r=1.91\ \text{in}[/tex]

Double derivative of S

[tex]\dfrac{d^2S}{dr^2}=4\pi+176>0[/tex]

So [tex]r[/tex] is minimum at [tex]\dfrac{dS}{dr}=0[/tex]

[tex]h=\dfrac{44}{\pi r^2}=\dfrac{44}{\pi 1.91^2}\\\Rightarrow h=3.84\ \text{in}[/tex]

So the radius and height of the cylinder is [tex]1.91\ \text{in}[/tex] and [tex]3.84\ \text{in}[/tex] respectively such that the least amount of metal is used.

We want to compare two prefixes, kilo and tera, and see why one seems to be more important than the other.

The prefix "kilo" is used for thousands, while the prefix "tera" is used for trillions.

Now if you go to your day-to-day life, you will see that the thousands appear a lot more than the trillions.

For example, is more common to walk one or two kilometers than one terameter.

Or also is more common to buy a kilogram of potatoes than one teragram of potatoes.

This is mainly why kilo is more important (actually is more used, I wouldn't say that is more important) than tera.

If you want to learn more you can read:

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Answer:

Sven would type 2280 words every 40 minutes.

Step-by-step explanation:

Multiply 57 by 40 and that should get you 2280.

Now, if it was truly an hour, you would multiply 57 by 60. The answer should be 3420.

Answer: x = 10

see in the picture, ΔACE has:

+) BF//AE

+) B and F are  midpoints.

=> BF is the median line of the triangle ACE

=> BF = 1/2. AE

=> AE = 2BF

⇔ 5x - 4 = 2.23 = 46

⇔ 5x = 46 + 4 = 50

⇔ x = 50/5 = 10

Step-by-step explanation:

Answer:

D reorder the terms using communitive  properties

because there is nothing else to do with this problem

Step-by-step explanation:

8 3√25 k

I checked the other problems and K was 12

Hope this helps ?

Answer: C

Step-by-step explanation:

step 1: I

step 2: just

step 3: took

step 4: it

final answer: i took the test and got a 100 so its definitely C.

<3

Answer:

107 copies to each books store

Answer:

Solving for y gives:

[tex]y = \frac{pq}{3}[/tex]

Step-by-step explanation:

Linear equations are the equations that are degree one equations. When it is asked to solve an equation for a specific variable that means that the specified variable has to be isolated on one side of the equation i.e. in the given question solving for y means isolating y on one side of the equation.

Given equation is:

[tex]p = \frac{3y}{q}[/tex]

Multiplication property of equality(Multiplying both sides by q)

[tex]p*q = \frac{3y}{q} * q\\pq = 3y[/tex]

Division property of equality(Dividing both sides by 3)

[tex]\frac{pq}{3} = \frac{3y}{3}\\\frac{pq}{3} = y[/tex]

Hence,

Solving for y gives:

[tex]y = \frac{pq}{3}[/tex]

Answer:

13

Step-by-step explanation:

20÷1.5 since there is not X

Answer:

The correct answer is D.

Step-by-step explanation:

Answer:

.

Step-by-step explanation:

We want to find the expected value for Jessie on the come out roll.

The expected value is EV = $0.50

We know that for an event with outcomes {x₁, x₂, ..., xₙ}, each with probability {p₁, p₂, ..., pₙ}, the expected value is given by:

EV = x₁*p₁ + x₂*p₂ + ... + xₙ*pₙ

Where the probabilities are written in decimal form.

We have the outcomes:

x₁ = winning $5.

p₁ = 0.29

x₂ = losing $5

p₂ = 0.19

x₃ = not win nor lose

p₃ = 1 - 0.19 - 0.29 = 0.52

Then the expected value is:

EV = $5*0.29 - $5*0.19 + $0*0.52 = $0.50

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Answer:

Answer is D, all you do is add the numbers

The perimeter of the figure is 20 cm.

The perimeter of the figure is the sum of the whole sides. When the whole sides of the figure is added the perimeter is known. Therefore,

perimeter = 5 cm + 3 cm + 1 cm + 2cm + 4cm + 5 cm

perimeter = 8 cm + 3cm  + 9cm

perimeter = 20 cm

The perimeter of the figure = 20 cm

read more: https://brainly.com/question/20306407?referrer=searchResults

Step-by-step explanation:

Let X be a random variable with PDF given by

fX(x)={ cx2 |x|≤1 0 otherwise

Find the constant c.

Find EX and Var(X).

Find P(X≥

1

2

).

Answer:

I believe it is D. not sure tho

Answer:

A

Step-by-step explanation:

beacause Harry loves school so he go to school

Answer:

3x + 18

General Formulas and Concepts:

Pre-Alg

Step-by-step explanation:

Step 1: Define expression

3(x + 6)

Step 2: Expand

Answer

3x+18 or 3x+9 but I'm not sure which one

Answer:

The correct answer is $1,500

Step-by-step explanation:

hope this helps

Number one is 16

number two is 30

Number 3 is 100

Number four is 50

Answer:

The probability that the sample mean will be between 82.5 and 86 years is 0.8351.

Step-by-step explanation:

According to the Central Limit Theorem if an unknown population is selected with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from this population with replacement, then the distribution of the sample means will be approximately normally.  

Then, the mean of the sample means is given by,

[tex]\mu_{\bar x}=\mu\\[/tex]

And the standard deviation of the sample means is given by,

[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]

The information provided is:

[tex]\mu=85\\\sigma=6\\n=36[/tex]

As the sample size is large enough the Central Limit Theorem can be used to approximate the sampling distribution of sample mean life expectancy (M) in the United States.

Compute the probability that the sample mean will be between 82.5 and 86 years as follows:

[tex]P(82.5<\bar X<86)=P(\frac{82.5-85}{6/\sqrt{36}}<\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}<\frac{86-85}{6/\sqrt{36}})\\\\=P(-2.5<Z<1)\\\\=P(Z<1)-P(Z<-2.5)\\\\=0.84134-0.00621\\\\=0.83513\\\\\approx 0.8351[/tex]

Thus, the probability that the sample mean will be between 82.5 and 86 years is 0.8351.

The probability that the sample mean will be between 82.5 and 86 years is 0.8351.

Standard deviation σ = 6

Sample size n =36

The central limit theorem (CLT) states that the distribution of sample means approximates a normal distribution as the sample size gets larger, regardless of the population's distribution.

Since the sample size is significant i.e. large, so the given scenario can be treated as normally distributed as per the central limit theorem.

So, the standard deviation of sample means =  σ/√n

The probability that the sample mean will be between 82.5 and 86 years:

[tex]P(82.5 < X < 86) = P(\frac{82.5-85}{\frac{6}{\sqrt{36} } } < Z < \frac{86-85}{\frac{6}{\sqrt{36} } } )[/tex]

[tex]P(-2.5 < Z < 1)=P(Z < 1)-P(Z < 2.5)[/tex]

[tex]P(-2.5 < Z < 1) =0.8413-0.0062=0.8351[/tex]

Therefore, the probability that the sample mean will be between 82.5 and 86 years is 0.8351.

To get more about the central limit theorem visit:

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Answer:

The answer must be either C or D but I think it is D

Step-by-step explanation:

sorry if I am wrong

Answer:

This is a normal distribution and we can use the standard score to compute for probabilities. We compute the standard score of the given.

Step-by-step explanation:

z = (x - mu)/sd

z = (2625 - 2600)/50 = 25/50 = 0.5.

Consulting the z-table, P(z <= 0.5) = 0.6915.

P(z > 0.5) = 1 - P(z <= 0.5) = 1 - 0.6915 = 0.3085.

I hope this helped! <3

Answer:

(f - g)(x) = -x² + 4x + 4

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = 4x - 1

g(x) = x² - 5

(f - g)(x) = f(x) - g(x)

Step 2: Find

Answer:

6

Step-by-step explanation:

Answer:1.5 feet

Step-by-step explanation: your welcome

Answer:

0

Step-by-step explanation:

Answer:

the answer is 0

Step-by-step explanation:

hope this helped,brainliest?

Answer:

#6 slope is -1/2 and y intercept is 4

#8 slope is 1/3 and y intercept is -2

Step-by-step explanation:

Answer:

area is equal to 198 cm^2

Step-by-step explanation:

the height h of the left triangle can be obtained by

Pytagoras theorem:

[tex]5^2+h^2=13^2\\25+h^2=169\\h^2=169-25\\h^2=144\\h=\sqrt{144} \\h=12[/tex]

the, the area of the left triangle is

[tex]A_1=\frac{5*12}{2} \\A_1=5*6\\A_1=30[/tex]

the area of the right triangle is

[tex]A_2=\frac{2*12}{2} \\A_2=12[/tex]

and the area of the rectangle in the middle is

[tex]A_3=(13)(12)\\A_3=156[/tex]

Por tanto, el area total sera

[tex]A=A_1+A_2+A_3\\A=30+12+156\\A=198[/tex]

Answer:

y-9=34

y=34+9

y= 43

Step-by-step explanation:

please Mark as brainliest

Answer:

y= -25 because if you add -25 to 9 it gives you -34