10. Yosemite Falls in California is made of three smaller falls. The upper fall drops 1450 feet. The height h in feet of a water droplet falling from the upper fall to the next fall is modeled by h(t)=-16 t²+1450, where t is the time in seconds after the initial fall. Estimate the time it takes for the droplet to reach the next fall.
9.22 SOLVNG QUADRATIC EQUATIONS BY FACTORNG

Answer:

OK so he gets 3000 a year

so 3000t is what we need. thats 3000 times the number of years.

His starting salary is 41250, so we would add that on.  

K = 3000t + 41250.

Step-by-step explanation:

The required equation for number of miles and years for the car is given as; y = 19000x + 41000

To represent a straight line on a graph consider two points namely x and y intercepts of the line. To find x-intercept put y = 0 and for y-intercept put x = 0. Then draw a line passing through these two points.

The parameters are;

Suppose the year 2020 represents x = 0.

The distance travelled per year can be taken as the slope of the linear  equation. Thus, slope = 19000.

And, the distance travelled by January 1, 2020 is 41000.

This tells us that for x = 0, y = 41000.

The linear equation in slope intercept form is given as;

y = mx + c

where;

m is slope

c is y-intercept

Substitute the corresponding values in the above equation to obtain,

y = 19000x + c

At x = 0, y = 41000

41000 = (19000 × 0) + c

c = 41000

Now, the equation can be written as,

y = 19000x + 41000

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The value of the expression 18 + 4(28) will be 130.

When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

The expression is given below.

⇒ 18 + 4(28)

Simplify the expression, then the value of the expression will be

⇒ 18 + 4 x (28)

⇒ 18 + 4 x 28

⇒ 18 + 112

⇒ 130

Thus, the value of the expression 18 + 4(28) will be 130.

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Answer:108

Step-by-step explanation:

Answer:

xx=15.86

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

10 is not less than 6, so 10 < r when r=6 is not true.

Answer: 18

Step-by-step explanation: To find the least common denominator for 9 and 6, notice that 9 factors as 3 · 3 and 6 factors as 3 · 2.

When finding the least common denominator, we want to find factors that pair up and you can see we have a 3 that pairs up in our list.

Now we multiply our 3 that pairs up by the other 3 that doesn't match up and the 2 that doesn't match up so we have 3 · 3 · 2 or 9 · 2 or 18.

This means our least common denominator is 18.

Doy 10 puntos al que me responda esto:

2 fracciones equivalentes a:

Responda:

7/6

5/4

Answer:

7/6

5/4

Step-by-step explanation:

Answer:

Half a mile is 2640 feet.

Answer:

See below

Step-by-step explanation:

We have the series

\($\sum _{ n=0 }^{ \infty }{ 3(0.8)^n}$\)

(a) To show that the sum of first \(n\) terms is \(S_n= 15(1-0.8^n)\)

Consider that the this sum is given as

\(S_n = 3\dfrac { 1-{ r }^n}{ 1-r }\)

In this case, the ratio is 0.8, thus, \(r=0.8\)

\(S_n = 3\dfrac { 1-{ 0.8 }^n }{ 1-0.8 }\)

\(3\dfrac { 1-{ 0.8 }^{ n } }{ 1-0.8 } = 15(1-0.8^n) \iff 3(1-{ 0.8 }^{ n }) = 15(1-0.8^n)( 1-0.8) \iff 3 = 15(1-0.8) \iff 3 = 15-12 = 3\)

Therefore,

\(S_n = 3\dfrac { 1-{ 0.8 }^n }{ 1-0.8 } = 15(1-0.8^n)\)

\(\dfrac{S_6}{S_4} = \dfrac{15(1-0.8^6)}{15(1-0.8^4)} = \dfrac{(1-0.8^6)}{(1-0.8^4)} = \dfrac{0.737856}{0.5904} = \dfrac{737856}{5904} = \dfrac{144\cdot 5124}{144\cdot 41} = \boxed{\dfrac{5124}{41} }\)

(b) Calculate the smallest integer value of \(n\) such that \(S_{40} -S_n < \dfrac{1}{2}\)

Once \(S_{40} \approx 15 \text{ and } S_n>14.5, \text{ thus } S_{40} \approx S_n, \text{ but } n \text{ is considerably smaller than 40}\)

I am considering \(S_{40}=15\), so

\(15-15(1-0.8^n) < \dfrac{1}{2} \implies 0.8^n < 0.03 \implies n> 15.71\)

\(\text{Once } n\in\mathbb{Z}, \text{ then } n=16\)

Answer: the answer is C

Step-by-step explanation:

Answer:

8 i think

Step-by-step explanation:

sorry im late just want the points :D

Answer:

Its A

Step-by-step explanation                                                                                         The dolphin swam 3 feet more which is -7

Answer: angle 1 = 51, angle 2 = 18, angle 3 = 123, angle 4 = 39

Step-by-step explanation:

72+57=129 180-129= 51 degrees for 1

90-72= 18 degrees for 2

180-57= 123 degrees for 3

123+18=141 180-141= 39 degrees for angle 4

The tourist's investment function can be expressed as follows:

f(x) = 720 + 35x

According the question,

The tourist's investment function can be expressed as follows:

f(x) = 720 + 35x

Where x represents the quantity of additional tours that the tourist wants to add to their travel package.

The function f(x) represents the total cost of the travel package plus the additional cost of the extra tours.

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Answer:

12?

Step-by-step explanation:

6/8 = 9/?

8 x 9=72

72/6= 12

Answer:

6 / 8 on the small triangle and 9 on the big one

Step-by-step explanation:

You already did most of the work- the answer is 'Koala'.

Have a good day. :)

Answer:

little brown bats,sleep for an average of 20 hours a day hope it's help

Total number of free throws made for player 2 are 23 using histogram.

A histogram is a graphical depiction of continuous or discrete data. In a histogram, the frequency is represented by the area of a bar. Frequency density, which is proportional to frequency, is plotted on the y-axis, and intervals representing the range of values are plotted on the x-axis. One common graphing tool is the histogram. It is employed to present interval-scaled summaries of discrete or continuous data. It is frequently used to conveniently depict the main characteristics of the data distribution. A histogram is a graph in which the horizontal axis represents the values of the observations, and the vertical axis represents the density of those observations.

Given,

Histogram given,

Total number of free throws made for player 2 are:

8 + 9 + 6

23

Total number of free throws made for player 2 are 23 using histogram.

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Step-by-step explanation:

The Science of Thought is the book

The probability of blue marbles is 11/25.

Probability is a way to gauge how likely something is to happen. According to the probability formula, the likelihood that an event will occur is equal to the proportion of positive outcomes to all outcomes. The probability that an event will occur P(E) is equal to the ratio of favorable outcomes to total outcomes. Because the favorable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1.

Given red marbles in the bag = 28

blue marbles in bag = 22

total marbles = 50

probability = favorable outcome/total outcome

P(blue marbles) = 22/50

P(blue marbles) = 11/25

Hence the probability is 11/25.

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Isolate the variable Y by multiplying 1.5 on both sides.

\(Y=1.6*1.5\)

\(Y=2.4\)

Hope this helps.

頑張って!

Answer:

y=2.4

Step-by-step explanation:

You need to get Y alone so just multiply it with the reciprocal: 1.5/1 on both sides. This cancells out the denominator and just multiplies 1.6 with 1.5 to get 2.4

the inverse of an element in a group is unique.

What is Group theory?

Group theory is a branch of mathematics that deals with the study of groups, which are sets of elements together with a binary operation that satisfies certain axioms. Groups are one of the most fundamental structures in mathematics, with applications in many areas of science and engineering.

To show that an element of a group has only one inverse in that group, we need to prove that if an element x has two distinct inverses y and z in the group, then y = z. That is, we need to show that the inverse of an element in a group is unique.

Proof:

Let G be a group and let x be an element of G. Suppose y and z are both inverses of x, that is, yx = xy = ez and zx = xz = ez, where ez is the identity element of G.

Then we have:

y = yez = y(xz) = (yx)z = ez z = z

where we have used the associative property of the group operation and the fact that y and z are both inverses of x.

Therefore, we have shown that if an element x of a group has two distinct inverses y and z, then y = z.

Hence, the inverse of an element in a group is unique.

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Step-by-step explanation:

(3/9) × (-2/3

=> {3×(-2)}/(9×3)

=> (-6/27). Ans.

Or

(3/9) × (-2/3)

=> -2/9 Ans.

Answer:

B,

Step-by-step explanation:

Answer:

139300

Step-by-step explanation: