Karen is throwing an orange to her brother Saul, who is standing on the balcony of their home. The height h, in feet, of the orange above the ground t seconds after it is thrown is given by

h(t) = −16t2 + 32t + 2, 0 ≤ t ≤ 2.118.

If Saul's outstretched arms are 16 feet above the ground, will the orange ever be high enough so that he can catch it?

a. No. The orange will reach a maximum height of 4 feet.

b. Yes. The orange will reach a maximum height of 18 feet.

c. There is not enough information given to answer the question.

d. No. The orange will reach a maximum height of 2 feet.

e. Yes. The orange will reach a maximum height of 36 feet.

Answer:

try kopo

Step-by-step explanation:

b po ba 2148.9 ayn po pabrainless po 5x para maging vertouso na ko pls

At the height of 2467.2 meters from the earths surface, the air pressure equals 50% of the air pressure at the surface of the Earth.

A function is a relation between a dependent and independent variable. We can write the examples of functions as -

y = f(x) = ax + b

y = f(x, y, z) = ax + by + cz

Given is that air pressure may be represented as a function of height (in meters) above the surface of the Earth, as shown below -

P(h) = P[tex]e^{-0.000122h}[/tex]

where {P} is the air pressure at the surface of the Earth, and his the height above the surface of the Earth, measured in meters.

For 50% of the air pressure at the surface of the Earth, we can write -

50P/100 = P[tex]e^{-0.000122h}[/tex]

1P/2 = P[tex]e^{-0.000122h}[/tex]

1/2 =  [tex]e^{-0.000122h}[/tex]

- 0.000122h = log(1/2) = - 0.301

h = - 0.301/- 0.000122

h = 2467.2 meters

Therefore, at the height of 2467.2 meters from the earths surface, the air pressure equals 50% of the air pressure at the surface of the Earth.

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Answer:

D

Step-by-step explanation:

Answer:

the answer is D broski

Step-by-step explanation:

trust me on this one

Answer:

63 1/4

Step-by-step explanation:

Using the arrangements formula and the probability concept, it is found that:

The number of possible arrangements of n elements is given by:

[tex]A_n = n![/tex]

A probability is the number of desired outcomes divided by the number of total outcomes.

In this problem, there are 4 runners, hence, the number of different ways the race can be completed is:

[tex]A_4 = 4! = 24[/tex]

Considering A first and C second, for the third and fourth positions, it is an arrangement of 2 elements, hence:

[tex]A_2 = 2! = 2[/tex]

The probability is:

[tex]p = \frac{2}{24} = \frac{1}{12}[/tex]

[tex]\frac{1}{12}[/tex] probability that A finishes first and C finishes second.

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Answer:

x = 134°

Step-by-step explanation:

Using the exterior angle theorem, we can say that x is the sum of the two angles shown. 70 + 64 = 134. This means x = 134.

Answer:

2.5 ml

Step-by-step explanation:

10% of the acid would be 2.5 ml so you'd have to add that to add the extra percent

Step-by-step explanation:

Seriously Speaking Am as confused As ...

forgive me but my head is blank

The acres of land she will need to produce 24 tons of nuts is 28 acres.

The farmer produces 9 tons of nuts from 10 1 / 2 acres of land.

The acres of land needed to produce 24 tons of nuts can be calculated below:

9 tons of nuts needs 10 1 / 2(21 / 2) acres of land

24 tons of nuts will need ? acres of land

cross multiply

Acres of land needed = 24 × 21 / 2 / 9

Acres of land needed = 252 / 9

Acres of land needed = 28 acres

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[tex]\cfrac{\stackrel{\downarrow }{1}}{2}+\cfrac{\stackrel{\downarrow }{2}}{3}\implies \cfrac{}{\underset{\textit{using the LCD of}}{6}}\implies \cfrac{(3)(\stackrel{\downarrow }{1})~~ +~~(2)(\stackrel{\downarrow }{2})}{6}\implies \cfrac{3+4}{6}\implies \cfrac{7}{6}[/tex]

Answer: To combine like terms, we must first understand what they are. Like terms are, well like. An example will make more sense. See the equation 2 + 4x - 5y * 0.2xy. Here, we have no like terms. Why? Because 2 has no variable while 4x has x. However, 4x and 5y don't have the same variable so they are NOT like either. Do not fall into the 0.2xy trap either because that is not like with 4x or 5y. Now that you (hopefully) understand let us try an example.

5x * 2x - 24 = 16

As you can see, the like terms here are 5x and 2x as well as 4 and 16. Now let us simplify by bringing the like terms together.

5x * 2x = 16 + 24

10x^2 = 40 (Be careful here! since we are multiplying x twice it will become x^2)

x^2 = 40/10

x^2 = 4

x = 2 (or -2)

And there you go! You just simplified using like terms.

Would appreciate brainliest <3

Step-by-step explanation:

f(x) = x

g(x) = f(x - 11)

g(x) = x

g(x) = (x - 11)

g(x) = x - 11

So, g(x) = x - 11

Answer:

Only Anna and Donna had correct answers.

Step-by-step explanation:

6 gallons

If you have 4 gallons for 30 plants, half of 4 gallons is 2, which will water 15 plants. Add 4 gallons plus 2 gallons, it gives you 6 gallons and 45 plants.

It use 6 gallons of water to water 45 plants.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

WE have been given that;

Let 4 gallons of water ... 30 plants

Let x gallons of water = ? ... 45 plants

The water will it take to water 45 plants, it can be calculate this using the following steps;

4 * 45 = x * 30

180 = 30 * x    /30

x = 180 / 30

x = 6 gallons of water

Therefore, We will use 6 gallons of water to water 45 plants.

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The mass of the load in kilogram is an illustration of subtraction operation

The mass of the load in kilogram is (b) 1645 kg

The complete mass is given as:

[tex]\mathbf{m_t = 2.87\ tonnes}[/tex]

The mass of the lorry is given as:

[tex]\mathbf{m_l = 1.225\ tonnes}[/tex]

The mass of the load is calculated by subtracting the mass of the lorry from the mass of the lorry and its load.

So, we have the following equation:

[tex]\mathbf{m_{load} = m_t - m_l}[/tex]

Substitute known values

[tex]\mathbf{m_{load} = 2.87\ tonnes- 1.225\ tonnes}[/tex]

Subtract

[tex]\mathbf{m_{load} = 1.645\ tonnes}[/tex]

Convert to kilogram

[tex]\mathbf{m_{load} = 1.645 \times 1000kg}[/tex]

Multiply

[tex]\mathbf{m_{load} = 1645 kg}[/tex]

Hence, the mass of the load in kilogram is (b) 1645 kg

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Answer:

2/5

Step-by-step explanation:

Answer:

60 inches or 5 feet

Step-by-step explanation:

the average height of a brick would be 3 inches

The value of m from the given equation is 3

Given the expression

5m + 4 = 19

Subtract 4 from both sides using the subtraction law of equality.

5m + 4 - 4 = 19 - 4

5m = 19 - 4

5m = 15

Divide both sides by 5 using the Division law of equality

5m/5 = 15/5

m = 3

Hence the value of m from the given equation is 3

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Answer:

23

Step-by-step explanation:

=3 ( 8 - 4 ) + 2 × 5.5

= 3 (4)+ 2× 5.5

= 12 + 11

=23

Answer:

The sum of c and twice d is

c + 2d

-TheUnknownScientist 72

Answer:

the answer is:

−4x+14

Step-by-step explanation:

Simplify the expression.

Answer:

− 4 x + 14

Step-by-step explanation:

ummm sry not rly sure

Answer:

hi

Step-by-step explanation:

hi

hi

hi

gm

have a nice day

The explicit formula for calculating the sum is

[tex]S_N=\frac{n(n-1)}{2} \cdot\frac{n(n+1)}{2}[/tex]

The sum of the nth term of a sequence is expressed as;

[tex]S_n=\frac{n}{2}(2a+(n-1)d)[/tex]

a is the first term

d is the common difference

n is the number of terms

For the sequence  0 + 1 + 2 + 3  +...

[tex]S_n=\frac{n}{2}(2(0)+(n-1)1)\\S_n= \frac{n}{2}(n-1)\\S_n= \frac{n(n-1)}{2}[/tex]

Similarly for the sequence:

1 + 2+ 3 + 4+...

[tex]S_n=\frac{n}{2}(2(1)+(n-1)1)\\S_n= \frac{n}{2}(2+n-1)\\S_n= \frac{n(n+1)}{2}[/tex]

Taking the product of the sum to get the explicit formula for calculating the sum

[tex]S_N=\frac{n(n-1)}{2} \cdot\frac{n(n+1)}{2}[/tex]

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Answer:

Step-by-step explanation:

Let x and y represent the prices of adult and student tickets, respectively. Then the revenue equations are ...

  13x +9y = 138

  3x +14y = 163

Solving this using a graphing calculator, we find (x, y) = (3, 11).

The price of an adult ticket is $3; the price of a student ticket is $11.

_____

Algebraic solution

When the numbers are "messy," as they are here, I like to use the "cross-multiplication method" for solution. I find it easier to use the order 1, x, y, rather than the order x, y, 1 as shown in the second attachment. That way, the coefficients are in their original order, with the first coefficient repeated. Note the right-side constant must be subtracted to get the form ax+by+c = 0.

  [tex]\begin{array}{cccc}13&9&-138&13\\3&14&-163&3\end{array}[/tex]

Then we have ...

  1/(13·14 -3·9) = x/(9·(-163) -14·(-138)) = y/((-138)·3 -(-163)·13)

  x = 465/155 = 3 . . . . price of an adult ticket

  y = 1705/155 = 11 . . . price of a student ticket

Step-by-step explanation:

6x + 9 = 12

6x = 12 - 9

6x = 3

x = 3/6 = 1/2

Answer:

1/2

Step-by-step explanation:

6x + 9 = 12

6x = 12 - 9

6x = 3

x = 3/6

x = 1/2

9514 1404 393

Answer:

Step-by-step explanation:

In similar triangles, corresponding sides are proportional. This lets us write an equation involving x. Sides adjacent are proportional to sides opposite the vertical angle.

  x/45 = 9/30

__

Multiplying by 45 gives the solution:

  x = 45(9/30) = 13.5 . . . meters

Answer:

Its 4.09

Step-by-step explanation:

Please mark brainliest if correct. :)

Answer:

m=-2

Step-by-step explanation:

The slope equation is y=mx+b.

This means that

y is y

m is -2

x is x

and

b is 4

Using the binomial distribution, it is found that there is a 0.81 = 81% probability that NEITHER customer is selected to receive a coupon.

For each customer, there are only two possible outcomes, either they receive the coupon, or they do not. The probability of a customer receiving the coupon is independent of any other customer, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem:

The probability that neither receives a coupon is P(X = 0), thus:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{2,0}.(0.1)^{0}.(0.9)^{2} = 0.81[/tex]

0.81 = 81% probability that NEITHER customer is selected to receive a coupon.

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Answer:

Which graph represents Y as a function of X ?​

step-by-step explanation:

a. The graph of y = 2x represents a transformation of the parent function, y = x, which makes the graph twice as steep.

b. The graph of y = 2x represents a transformation of the parent function, y = x, which makes the graph half as steep.

c. The graph of y = x represents a transformation of the parent function, y = 2x, which makes the graph half as steep.

d. The graph of y = x represents a transformation of the parent function, y = 2x, which makes the graph twice as steep.