A rock is thrown upward from the top of a high cliff overlooking the ocean at a speed of 96 feet per second . The rock's height above ocean can be modeled by the equation H(t) = - 16t ^ 2 + 96t + 112 . How long will it take seconds for the rock to hit the ocean? Do not include units in your answer.

Answer:  46

Step-by-step explanation:

Let the 3 consecutive even numbers be x, (x-2) and (x+2) respectively.

According to the question,

x + (x - 2) + (x + 2) = 132

or, x + x - 2 + x + 2 = 132

or, 3x = 132

or, x = 132 ÷ 3

or, x = 44

So, first even number = 44

Required third number = 44 + 2

= 46

Answer:

32 cats in total

Step-by-step explanation:

so 18 siamese

the ratio was9:7=siameese:house

18=9 units

divide 9

2=1 unit

house=7 units

7 times 2=14

14 house cats

combined=siameese+house=18+14=32

Answer:

The answer is X=10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

4x - 8 = 32

4x = 40

x = 10

Answer:

y=4x bc each one is 4 so for one box it cost $4

Answer:

The expression will be y = 4x.

Step-by-step explanation:

First, we have to form expressions for number of boxes and total amount she earn :

Let x be the number of boxes,

Let y be the total amount,

Given that the costs of each box is $4 so in order to find the total amount, you have to multiply the number of boxes by 4 :

y = 4x

Answer:

area = 572.3 m²

Step-by-step explanation:

area = PiR²

r = 27/2

area = (3.14)(13.5²)

area = 572.3 m²

Answer:

infinite

Step-by-step explanation:

Answer:

The standard deviation of the number of haunted houses in a large city is 3.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval, which is the same as the variance.

According to ghost hunters, large cities have, on average, 9 haunted houses each.

This means that [tex]\mu = 9[/tex]

a) What is the standard deviation of the number of haunted houses in a large city?

Square root of the variance, so:

[tex]\sqrt{9} = 3[/tex]

The standard deviation of the number of haunted houses in a large city is 3.

Answer:

The 23rd term for the sequence is -99

Step-by-step explanation:

We can use an explicit rule to find the 23rd term.

Given Info:

=> Sequence: -11,-7,-3

=> f(1) = -11

=> Common difference (d) = -4

Explicit rule: f(1) + d(n-1)

So,

-11 -4 (n-1)

Substitute 23 for n

=> -11 - 4(23-1)

=> -11 - 4(22)

=> -11 - 88

=> -99

hope this helps and is right :)

p.s. i really need brainliest

Answer:

A)  36√3

Step-by-step explanation:

First, figure out the height.  Since it's an equilateral triangle, it would be

6²+B²=12²

36+B²=144

B²=144-36

B²=108

B=√108

B=√36x√3

B=6√3

Now we can get the area.

1/2(6√3)(12) = 36√3

Answer:

x= -3

Step-by-step explanation:

Answer:

Proved

Step-by-step explanation:

Given

[tex](2 * 10^2) * (3 * 10^5) = 3.5 * 10^7 + 2.5 * 10^7[/tex]

Required

Prove

On the right hand side, we have:

[tex]2 * 10^2 * 3 * 10^5 = 3.5 * 10^7 + 2.5 * 10^7[/tex]

Rewrite:

[tex]2 * 3* 10^2 * 10^5 = 3.5 * 10^7 + 2.5 * 10^7[/tex]

[tex]6* 10^2 * 10^5 = 3.5 * 10^7 + 2.5 * 10^7[/tex]

Apply law of indices

[tex]6* 10^{2+5} = 3.5 * 10^7 + 2.5 * 10^7[/tex]

[tex]6* 10^7 = 3.5 * 10^7 + 2.5 * 10^7[/tex]

Express 6 as 3.5 + 2.5

[tex](3.5 + 2.5)* 10^7 = 3.5 * 10^7 + 2.5 * 10^7[/tex]

Open bracket

[tex]3.5 *10^7+ 2.5*10^7 = 3.5 * 10^7 + 2.5 * 10^7[/tex]

Proved

Answer:

30 divided by 0.40 = 75

The original price was $75

Step-by-step explanation:

30 divided by 0.40 = 75

The original price was $75

Answer:

B. 34.90°

Step-by-step explanation:

✔️First, find GF using Trigonometric function:

Reference angle = 58°

Adjacent length = GF

Hypotenuse = 6 cm

Apply CAH, thus:

Cos 58 = Adj/Hyp

Cos 58 = GF/6

GF = 6*Cos 58

GF = 3.17951558 ≈ 3.18 cm

✔️Find angle K using the Sine Rule:

[tex] \frac{sin(K)}{GF} = \frac{sin(G)}{KF} [/tex]

Substitute

[tex] \frac{sin(K)}{3.18} = \frac{sin(64)}{5} [/tex]

Multiply both sides by 3.18

[tex] sin(K) = \frac{sin(64)}{5}*3.18 [/tex]

[tex] sin(K) = 0.5716 [/tex]

[tex] K = sin^{-1}(0.5716) [/tex]

K = 34.8618741° ≈ 34.90°

Answer:

3/4 of an hour

Step-by-step explanation:

the longest is 1 hour. the shortest is 1/4 of an hour. 1 minus 1/4 is 3/4

Answer: i dont know trie asking linder0917

Step-by-step explanation:

ok

Answer:

3x - 3

Step-by-step explanation:

f(x) + g(x)

(2x + 2) + (x - 5)

3x - 3

Answer:

12 units

Step-by-step explanation:

Draw a number line and mark x = -10 and x = 2.  You can readily see that the distance from -10 to the origin is 10 units, and from the origin to 2 is 2 units, in both cases measured from left to right.  Adding these two positive quantities together, we get 10 + 2, or 12.

The distance from -10 to 2 on the number line is 12 units.

Answer:

radius is 6, diameter is 12, circumference is 38

Step-by-step explanation:

The area of a circle hs the following formula:

A = π*r², where r is the circle radius (distance from center to edge of circle)

So, we have A = 113 = π*r²

Divide both sides by π:      113/π = r²

Approximately:                 35.97 = r²

Square-root both sides:   5.997 = r

                                           So, the radius is about 6 feet

The circumference of a circle has the following formula:

C = π * D, where D is the diameter of the circle (distance from one side of circle to opposite side, through the center)

But the length of a diameter is just that of two radiuses. (This is obvious when the 2 radii are collinear.)

Since r = 6 feet, D = 12 feet, and the circumference C = 12 * π = 37.699, about 38 feet.

*** So the radius is about 6 feet, the diameter is about 12 feet, and the circumference is about 38 feet,

It lloks like b and d are identical. Typo. maybe?

Answer: d

≤

3

Step-by-step explanation: that’s the answer buddy

Answer: X is less than or equal to 3.

I am 100% sure it's right.

Step-by-step explanation:

Answer:

(329 + 490X) / X = Cost

Thus, the average annual price decreases as the cell phone is used for more years, because the fixed cost (the cost of the value of the cell phone) is divided each time by a greater number of years.

Step-by-step explanation:

Since Jerry bought a new cell phone and signed up for a yearly cell phone plan, and the cell phone costed $ 329 and the yearly plan costs $ 490 per year for every year he uses the cell phone, to determine the annual cost of the cell phone per year as a function of the number of years he uses the cell phone, the following mathematical reasoning must be performed:

(329 + 490X) / X = Cost

So, for example, if the cell phone was used for 3 years, the function would apply as follows:

(329 + 490x3) / 3 = X

(329 + 1470) / 3 = X

1,799 / 3 = X

599.66 = X

Thus, the average annual price decreases as the cell phone is used for more years, because the fixed cost (the cost of the value of the cell phone) is divided each time by a greater number of years.

Answer:

A.non at all so, please choose the right answer

Answer:

A.non at all so, please choose the right answer

Answer:

x = 12 degrees

Step-by-step explanation:

They all have to add up to 360, so:

[tex]5x + 4 + 4x+9+7x+4+9x-6+4x+1=360\\29x + 12 = 360\\29x = 348\\x = 12[/tex]

Answer:

I thought this was going to be easy been sitting here for 20min

Answer:

29/10

Step-by-step explanation:

Answer:

[tex] \frac{29}{10} [/tex]

Step-by-step explanation:

[tex]2 \frac{9}{10} \\ \frac{2 \times 10 + 9}{10} [/tex]