Alain throws a stone off a bridge into a river below.
The stone's height (in meters above the water), xxx seconds after Alain threw it, is modeled by h(x)=-5x^2+10x+15
What is the height of the stone at the time it is thrown?

Answer:

1km = 1000m

=> 60km = 60 x 1000 = 60000m

=> Option A is correct.

Hope this helps!

:)

Answer:

csc Θ = [tex]\frac{17}{15}[/tex]

Step-by-step explanation:

Given

tan Θ = - [tex]\frac{15}{8}[/tex] = [tex]\frac{opposite}{adjacent}[/tex] ← of a right triangle , then

hypotenuse h² = 15² + 8² = 225 + 64 = 289 ( square root both sides )

h = [tex]\sqrt{289}[/tex] = 17

Using the identity

csc x = [tex]\frac{1}{sinx}[/tex]

sin Θ = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{15}{17}[/tex]

Since Θ is in second quadrant then sinΘ and csc Θ > 0, thus

csc Θ = [tex]\frac{1}{\frac{15}{17} }[/tex] = [tex]\frac{17}{15}[/tex]

Answer:

A

Step-by-step explanation:

Answer:

The answer is B.

Step-by-step explanation:

Because you have your slope (4.20) it doesn't matter what it is just as long as it is there.

Answer:

start at the origin (0,0) then move up 5 (Don't count the origin as the first move up). Now your point is (0,5)

Step-by-step explanation:

Look at the image below.

This is how you graph y=5

Answer:

The correct solution graph is Graph B. The solution to the system is (-4.4, -4.7)

Step-by-step explanation:

I graphed this system on a separate graph shown below to find the solution of the system.

Answer:

55.4 m^3

Step-by-step explanation:

The volume of a pyramid of base area A and height h is V = (1/3)(A)(h).

Here, V = (1/3)(16.6 m)^2 * 10.1 m  = 55.4 m^3

Answer:

55.4 m^3

Step-by-step explanation:

Answer:

Elementary students should be token off

If its not right please do not report.

Answer:

a) A triangle which the angles ratio is 1 : 2 : 3 is a 30º - 60º - 90º right triangle.

b) The shortest side is opposite to the shortest angle. So, we can calculate it using sin 30º.

[tex]$\text{sin}(30\º)=\frac{\text{Opposite side to x}}{19} $[/tex]

[tex]$\frac{1}{2} =\frac{\text{Opposite side to x}}{19} $[/tex]

[tex]$\text{Opposite side to x}= 9.5$[/tex]

Answer:

see explanation

Step-by-step explanation:

(a)

Sum the parts of the ratio, 1 + 2 + 3 = 6 parts

Divide 180° ( sum of angles in a triangle ) by 6 to find the value of one part of the ratio.

180° ÷ 6 = 30° ← value of 1 part of the ratio, thus

2 parts = 2 × 30° = 60°

3 parts = 3 × 30° = 90°

Thus the triangle is right

-----------------------------------------

(b)

The sides of a 90°- 60°- 30° triangle are in the ratio

2 - [tex]\sqrt{3}[/tex] - 1 ( where 2 represents the hypotenuse )

Thus the other 2 sides of the triangle are

19 ÷ 2 = 9.5 , and

9.5 × [tex]\sqrt{3}[/tex] ≈ 16.45

The shortest side is 9.5

Answer: DNA technology in agriculture has been used to create Genetically Modified Organism. The plants can be modified to be resistant to drought and diseases/pests and have increased yield

DNA technology mainly involves the manipulation of the genome of an organism. Usually a foreign DNA is inserted in the genome of another organism to impart it with desired characteristics or remove undesired ones.

Answer:

DNA technology in agriculture has been used to create Genetically Modified Organism

Step-by-step explanation:

Answer:

4. 3x=18

Step-by-step explanation:

To find the answer you do 18/3=X, then all you do is turn that division problem into a multiplication problem and get 3x=18

Answer:

3x = 18 (4)

Step-by-step explanation:

If she has a total of 18 apples, and she wants to give her neighbors three apples each, you would have to divide 18 by 3 to find how many neighbors she can give them to.

18 divided by 3 = x

x = 6

Answer:

38

Step-by-step explanation:

j/-2=-19

j=38

Answer:

38

Step-by-step explanation:

J/-2+7=-12

     -7     -7

J/-2       -19

 x-2      x-2

J=          38

I was trying to edit but it kept saying "an error occured"

I'm sorry

Answer:

length of each side is 17cm

Answer: length of each side is 17cm

Step-by-step explanation:hoped this helped

Answer:

345:675=243$

Step-by-step explanation:

Answer:

30%

Step-by-step explanation:

Answer:they saw things they never saw before

Step-by-step explanation:

Answer: The answer is the last one. Hope this helps!

Answer:

113.04 meters

Step-by-step explanation:

pi*r^2

3.14*6*6= 113.04

Answer:

The Answer is 113.1m²

Step-by-step explanation:

Area is πr²

Sprinkler shoots 6m

a = π6²

a = 3.14 * 36

area is 113.1m²

Answer:

try and put them do in order

Step-by-step explanation:

Thanks for coming to us with your question. I know this answer is quite late, but hopefully it'll be helpful to others.

Answer:

False --> 1011 > 1100

True --> 110 + 111 == 1101

50 --> 1010 x 101

13 --> 110 + 111

17 --> 1010101 / 101

Step-by-step explanation:

This solution is achieved by calculating the binary operations, then finding either their values or the validity of their statements.

1011 > 1100 is the same as 11 > 12, which is false.

110 + 111 == 1101 is the same as 6 + 7 = 13, which is true.

1010 x 101 is the same as 10 x 5, which is 50.

110 + 111 is the same as 6 + 7, which is 13.

1010101 / 101 is the same as 85 / 5, which is 17.

Answer:

x = 126/999

Step-by-step explanation:

Let x = .126126126 repeating

Multiply each side by 1000

1000x = 126.126126126 repeating

subtract the first equation from the second

1000x = 126.126126126 repeating

- x = .126126126 repeating

999x = 126

Divide each side by 999

999x/999 = 126/999

x = 126/999

Answer:

C

Step-by-step explanation:

Since the figures have equal perimeters we can equate them, thus

4(2p - 4) = 4p + 36 ← distribute left side

8p - 16 = 4p + 36 ( subtract 4p from both sides )

4p - 16 = 36 ( add 16 to both sides )

4p = 52 ( divide both sides by 4 )

p = 13

Substitute p = 13 into either of the 2 expressions, then

4p + 36 = 4(13) + 36 = 52 + 38 = 88 → C

The value of perimeter is found as 88 units. The correct option is (C).

A linear equation for the given case can be written by assuming any variable as the unknown quantity. Then, as per the given data the required operations are done and it is equated to some value.

As per the question the perimeters are equal.

The following equation can be written as,

4(2p - 4) = 4p + 36

⇒ 8p - 16 = 4p + 36

⇒ 4p = 52

⇒ p = 13

Thus, the perimeter value can be obtained by substituting p = 13 in 4p + 36 as below,

⇒ 4 × 13 + 36 = 88

Hence, the perimeter value is 88 units.

To know more about linear equation click on,

https://brainly.com/question/11897796

#SPJ2

Answer:

Step-by-step explanation:

If you think money, a question like this won't confuse you.

Which would you rather owe your parents

13 dollars or

10 dollars

The answer is obvious, isn't it? Most people would rather owe 10 dollars rather than 13.

The minus sign is the same as debt. - 13 is less than - 10. You are further and further in the hole when you owe 13 dollars than 10.

So the inequality is not correct. The answer is no.

So still with money

-13<- 11

13 > 11

you would rather have 13 dollars in your pocket than 10.

You would rather owe -10 dollars than - 13

We have been given that a of sofa prices are normally distributed with a mean of 2500 dollars and a standard deviation of 200 dollars.  A leather sofa has a price of 2410 dollars. We are asked to find the proportion of sofa prices that are higher than the price of the leather sofa.

First of all, we will find the z-score corresponding to sample score 2410.

[tex]z=\frac{x-\mu}{\sigma}[/tex]

[tex]z=\frac{2410-2500}{200}[/tex]

[tex]z=\frac{-90}{200}[/tex]

[tex]z=-0.45[/tex]

Now we need to find area under normal curve that is greater than z-score of [tex]-0.45[/tex] that is [tex]P(z>-0.45)[/tex].

Using formula [tex]P(z>a)=1-P(z<a)[/tex], we will get:

[tex]P(z>-0.45)=1-P(z<-0.45)[/tex]

Now we will find area under curve using normal distribution table.

[tex]P(z>-0.45)=1-0.32636[/tex]

[tex]P(z>-0.45)=0.67364[/tex]

Upon rounding to 4 decimal places, we will get:

[tex]P(z>-0.45)\approx 0.6736[/tex]

Therefore, approximately 0.6736 of sofa prices are higher than the price of the leather sofa.

Answer:

0.6736

Step-by-step explanation:

khan academy

Answer: if π were 3.14, than it would cost about 5223.96

Step-by-step explanation:

THEORETICAL probability is the predicted ratio of favorable outcomes to the total number of outcomes.

Answer:

  empirical rule: 81.5%

  table or calculator: 81.9%

Step-by-step explanation:

The lower limit of the life range of interest has a z-score of ...

  z = (x -μ)/σ = (20,000 -30,000)/5,000 = -2

The upper limit has a z-score of ...

  z = (35,000 -30,000)/5,000 = 1

Empirical rule solution

The empirical rule tells you that 95% of the distribution lies within 2 standard deviations of the mean, so (100% -95%)/2 = 2.5% lie below z = -2. It also tells you 68% lie within 1 standard deviation of the mean, so (100% -68%)/2 = 16% lie above z = 1.

The fraction that lies within -2 to 1 standard deviations of the means is thus ...

  (100% -2.5% -16%) = 81.5%

The probability the tire has a life in the desired range is about 81.5%.

__

Calculator solution

A probability calculator for the Normal distribution tells you that ...

  P(-2 < z < 1) ≈ 0.8185946

The probability the tire has a life in the desired range is about 81.9%.

Answer: 36% or 9/25

Step-by-step explanation:

P(pick a girl) = 18/30 = 3/5 = 0.6

P(pick a girl 2 days in a row) = (0.6)^2 = 0.36

Answer:

$20

Step-by-step explanation:

Answer:

As radius is perpendicular to tanget ,

BC is perpendicular to AB

By pythagoras theorem:

x² = (9 + x)² - 15²

x² = 81 + 18x + x² - 225

18x = 225 - 18

x = 207/18 = 11.5