A 2-column table with 4 rows. the first column labeled elevation (meters) has entries 500, 1000, 1500, 2000. the second column labeled temperature of air (degrees celsius) has entries 11.8, 8.5, 5.3, 2.0. as elevation increases, temperature decreases. at which elevation will sound travel fastest? 500 meters 1,000 meters 1,500 meters 2,000 meters

ANSWER: 202.46 if you need all the question answers just ask :D

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Answer:

Step-by-step explanation:

You are being asked to compare the value of a growing infinite geometric series to a fixed constant. Such a series will always eventually have a sum that exceeds any given fixed constant.

__

Angelina will get more money from the Choice 1 method of payment. The sequence of payments is a (growing) geometric sequence, so the payments and their sum will eventually exceed the alternative.

__

For a first term of 1 and a common ratio of 2, the sum of n terms of the geometric series is given by ...

  Sn = a1×(r^n -1)/(r -1) . . . . . . . . . . series with first term a1, common ratio r

We want to find n such that ...

  Sn ≥ 1,000,000

  1 × (2^n -1)/(2 -1) ≥ 1,000,000

  2^n ≥ 1,000,001 . . . . add 1

  n ≥ log(1,000,001)/log(2) . . . . . take the base-2 logarithm

  n ≥ 19.93

The total Angelina receives from Choice 1 will exceed $1,000,000 after 20 days.

Answer:

18

Step-by-step explanation:

9 can be multiped by 2 to get to 18 :)

Answer:

14 (exactly 500) or 15 (over 500)

Step-by-step explanation:

We know that Alexis has already bought 50 stamps.

50 + 30 = 80

We need to subtract to see how many stamps she needs.

500 - 80 = 420

We divide by 30 to see about how many weeks it would take.

420 / 30 = 14

We can add 1 more week because she wants to have more than 500 stamps.

hope this helps :)

Answer:

sqrt(11)

Step-by-step explanation:

a^2+b^2 = c^2

a = 5

c = 6

b = ?

25 - b^2 = 36

36 - 25 = b^2

b = sqrt(11)

The ladder should be 7.81 feet long.

Pythagoras theorem tell us the relation between the sides of a right-angled triangle, it states, the sum of the squares of the base and perpendicular is equal to the square of the hypotenuse.

Given that, Aubrey is building a slide for her kids. If the ladder is 6 feet tall, and she wants the bottom of the slide to be 5 feet from the ladder,

This slide is in the form of a right triangle, therefore applying the Pythagoras theorem, we have,

a²+b² = c² (refer to the figure attached)

5²+6² = c²

c² = 25+36

c² = 61

c = √61

c ≈ 7.81

Hence, the length of the slide should be 7.81 feet.

For more references on Pythagoras theorem, click;

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Answer:

25%

Step-by-step explanation:

First, divide 91 by 364

91/364 = 0.25

Multiply this answer by 100

0.25 × 100 = 25%

This gives you what percent of 364 that 91 is

So it is a 25% decrease

Answer:

I think Option C is the correct answer

I think it will help you.

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♫[/tex]

Let's solve ~

Surface area of Cylinder :

[tex]\qquad \sf  \dashrightarrow \:2\pi r(r + h)[/tex]

[tex]\qquad \sf  \dashrightarrow \:2 \pi \times 5(5 + 4)[/tex]

[tex]\qquad \sf  \dashrightarrow \:10 \pi(9)[/tex]

[tex]\qquad \sf  \dashrightarrow \:90 \pi[/tex]

Answer:

I am sorry but u didn't really ask any question to be answered so next time give a question to be answered

Answer:

  (b)  65/27

Step-by-step explanation:

Here, we notice the index for the summation runs from 0 to 3, so there are a total of 4 terms.

The sum represented by the summation symbol is ...

  5(-2/3)^0 +5(-2/3)^1 +5(-2/3)^2 +5(-2/3)^3

  = 5(1 -2/3 +4/9 -8/27)

  = 5/27(27 -18 +12 -8)

  = 5(13/27) = 65/27

__

There is a formula for the sum of a geometric series:

  Sn = a1×(1 -r^n)/(1 -r)

Here, the first term is a1 = 5(-2/3)^0 = 5. The common ratio is the base of the exponential, r = -2/3. So, the sum of n=4 terms is ...

  S4 = 5×(1 -(-2/3)^4)/(1 -(-2/3)) = 5×(1 -16/81)/(5/3) = 65/27

Answer:

D. [tex](-2)^6[/tex]

Step-by-step explanation:

There are six (-2), so it would be D. since C. would just mean [tex]2^6[/tex] and turn that negative.

You can check using a calculator that (-2)(-2)(-2)(-2)(-2)(-2) would equal 64 while C. equals -64. So the correct answer would be D.

Answer:

2 x-intercepts

Step-by-step explanation:

Standard form of quadratic equation: [tex]\sf y=ax^2+bx+c[/tex]

Given equation: [tex]\sf y=x^2+3x[/tex]

Therefore:

Discriminant: [tex]\sf b^2-4ac[/tex]

Substituting values into discriminant:

[tex]\sf \implies 3^2-4(1)(0)=9[/tex]

As discriminant > 0 then 2 real roots (2 x-intercepts)

Answer:

Given:

⇒ P(black ball) = 3/10 = 0.3

⇒ P(white ball) = 7/10 = 0.7

If one ball is chosen at random and replaced, the probabilities do not change between the first and second ball.

Let event D = first ball is black

Let event S = second ball is black

P(D) = 0.3

P(S) = 0.3  (since the first ball is replaced)

⇒ P(D ∩ S) = P(D) × P(S)

                   = 0.3 × 0.3

                   = 0.09

For Independent Events we know that:  P(A ∩ B) = P(A) × P(B)

Therefore, as P(D ∩ S) = P(D) × P(S) the events are independent.

Answer:

area of trapezium=1/2 h(length 1+length2)

1/2*5*(13+6)

1/2*5*19

Answer:

Area = 47.5cm^{2}

Step-by-step explanation:

Area = 1/2 (a+b) × height

Area = 1/2 (6 + 13) × 5

  Area = 1/2 (19) × 5

    Area = 47.5cm^{2}

Answer:

Functions A and B have the same y-intercept.

Step-by-step explanation:

Their functions both have a y-intercept of 2. These are what they look like when graphed.

By analyzing the table we conclude that the range is the set R : [0, 7.66] so the correct option is the last one.

For a relation y = f(x), we define the range as the possible values of y.

In this case, y represents the height that the ball takes, in the table, we can see that it starts at 0, then in reaches a maximum value of 7.66, and then it decreases again until it reaches the zero again when the ball returns to the ground.

Then y can take all the values between 0 and 7.66, meaning that the range is:

R : [0, 7.66]

Then the correct option is the last one.

If you want to learn more about range, you can read:

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Answer:

16

Step-by-step explanation:

2 from 3 days

another 2 on 2 days

5 for 1 day

7 for 0 days

2+2+5+7= 16

Answer:

33.3

Step-by-step explanation:

since it's 3 and not higher than 5 the value would be rounded down

Answer:

Step-by-step explanation:

Be careful. You can be confused by shifting left or right because the result is the opposite of what you might think.

f(x) = x^2

f(x + 4) = (x + 4)^2

To show you this in graphical form, see below.

Red: f(x) = x^2

Blue: f(x) = (x+4)^2 Notice that the blue graph is the the LEFT of the red graph

Answer:

y= |x-3|+ |x+2|-|x-5|; x<-2

y=-2

A necessary step for constructing perpendicular lines through a point on a line is D. Draw arcs on either side of a given point of the line.

A perpendicular line simply means the lines that intersect at 90 degrees.

In this case, a necessary step for constructing perpendicular lines through a point on a line is to draw arcs on either side of a given point of the line. This can be done by opening the compass bans marking two points of intersection between the arcs in a given line.

Learn more about perpendicular lines on:

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Answer:nj

Step-by-step explanation:

j

The two expressions that would have the same product as 3.5 x 5.12 are:

184.32 x 1/12

76.8 x 3/12

The product of a number is the value that is derived when two or more numbers are multiplied by each other.

Product of 3 and 5.12 is 15.36.

In order to determine what number should be multipled by 1/12 to yield 15.36, multiply 15.36 by 12: 15.36 x 12 = 184.32

In order to determine what number should be multipled by 3/12 to yield 15.36, multiply 15.36 by 4: 15.36 x 4 = 76.8

To learn more about multiplication, please check: https://brainly.com/question/13814687

Answer: amplitude is 5 and Period is pi/2

Step-by-step explanation:

yes ‍♀️

12

Step-by-step explanation:

[tex] \sqrt{ - 72k} \\ \\ = \sqrt{ - 72( - 2)} \\ \\ = \sqrt{144} \\ \\ = 12[/tex]

Answer:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

=12

Answer:

15 batches of cookies

Step-by-step explanation:

We need to find out how many third cups do into 5 cups. We can do this by 5 ÷ 1/3

When dividing fractions, use KFC:

Therefore, 5 ÷ 1/3 = 5 × 3/1 which is 15 batches of cookies

Hope this helps!

Answer:

12 units

Step-by-step explanation:

Applying the distance formula, [tex]\sqrt{(x_{2}- x_{1})^{2} + (y_{2}- y_{1})^{2} }[/tex], you get [tex]\sqrt{(2-2)^{2} +(4+8)^{2}}[/tex] = [tex]12[/tex] units.

Answer:

132 square feet

Step-by-step explanation:

If you need an explanation, just ask.

Hope this helps! Pls give brainliest!

Answer:

$125 you will end up w/ $5125

Step-by-step explanation: