The sound will travel fastest at an elevation of 500m,
Elevation Temperature
500m 11.8°C (MAXIMUM)
1000m 8.5°C
1500m 5.3°C
2000m 2.0°C
Why do sounds travel at a faster rate at high temperatures?Molecules at higher temperatures have more energy and they can vibrate faster and allow sound waves to travel more quickly because the more is the medium, the more quickly sound waves propagate.
So, when the temperature is maximum i.e. 11.8°C, the sound will travel fastest. The elevation corresponding to 11.8°C is 500m.
So, Sound will travel fastest at 500m elevation.
Therefore, At an elevation of 500m, the sound will travel fastest.
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Answer:
500 meters
Step-by-step explanation:
The question is in the image. I really need help, please.
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
I NEEED HELLPPP write this using exponents question
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.
A ball is placed in a machine that throws the ball up in the air. The table represents some points on a graph of a function that models the ball’s distance from the ground with respect to the time since the ball was thrown. What is the range for this situation?
By analyzing the table we conclude that the range is the set R : [0, 7.66] so the correct option is the last one.
What is the range in the situation?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.
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Help me with this pls it’s due on Monday :)
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}
There are ten balls in a bag. Three balls are black and seven balls are white. a One ball is chosen at random and then replaced. Then a second ball is chosen at random. Here are two events. D: the first ball is black S: the second ball is black Are D and S independent? Show your working.
Answer:
Given:
Total balls = 10Black balls = 3White balls = 7⇒ 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.
Angelina wins money in a competition. She is given the choice as to how she is paid.
Choice 1: Get $1 the 1st day, 2$ the 2nd day, $4 the 3rd day, 8$ the 4th day, and so on
Choice 2: Get 1,000,000 today.
a) With which method of payment will angelina get more money?
c) After how many days will the money Angelina gets from Choice 1 be approximately $1, 000, 000?
Answer:
Choice 120 daysStep-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.
__
a)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.
__
c)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.
if the graph of f(x)=x^2 is shifted 4 units to the left, then what would be the equation of the new graph?
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
(NEED ANSWER TODAY!) The dimensions of this figure are changed so that the new surface area is exactly 1/3 what it was originally.What is the new surface area?Enter your answer as a decimal in the box.
ANSWER: 202.46 if you need all the question answers just ask :D
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
[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]
What is a necessary step for constructing perpendicular lines through a point on a line?
O Draw a line that intersects the first line at an acute angle using a straightedge.
O Draw a ray that intersects the first line at an acute angle using a straightedge.
Draw arcs on either side of a given point on the line,
Draw ares on either sig, of a given point of the line
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.
What is a perpendicular 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.
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Answer:nj
Step-by-step explanation:
j
help pls wrong answers will be reported
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.
Use the discriminant to find the number of x-intercepts of the graph of the function.
y = x2 + 3x
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:
a = 1b = 3c = 0Discriminant: [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)
A bank is offering 2.5% simple interest on a savings account. if you deposit $5000,how much interest will you earn in one year?
Answer:
$125 you will end up w/ $5125
Step-by-step explanation:
Mrs. Barnett has 5 cups of sugar. A batch of cookies uses 1/3 cup of sugar.
How many batches of cookies can she make?
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:
Keep the first fraction the sameFlip the second fractionChange the sign from ÷ to ×Therefore, 5 ÷ 1/3 = 5 × 3/1 which is 15 batches of cookies
Hope this helps!
Find the area. Please help me with this problem:)
Answer:
132 square feet
Step-by-step explanation:
If you need an explanation, just ask.
Hope this helps! Pls give brainliest!
2
Plot the points (2, 4) and (2, -8) on the
coordinate plane below.
What is the distance between these two
points?
units
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.
33.33333 rounded to the nearest tenth
Answer:
33.3
Step-by-step explanation:
since it's 3 and not higher than 5 the value would be rounded down
please help with word problems.
Answer:
I am sorry but u didn't really ask any question to be answered so next time give a question to be answered
y=|x-3|+|x+2|-|x-5| if x < -2
what does y equal
Answer:
y= |x-3|+ |x+2|-|x-5|; x<-2
y=-2
What is the least common denominator of
7/9 and 17/18?
Answer:
18
Step-by-step explanation:
9 can be multiped by 2 to get to 18 :)
Math homework pls helps!!
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
ASAPPPP!! Please!
The histogram shows the number of days in the past week that 30 surveyed people exercised.
Number of Days per person.
And days
How many people who were surveyed exercised fewer than 4 days last week?
12
14
16
18
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
Alexis bought 50 collectible stamps at a garage sale. Each week, she purchases 30 stamps to add to her
collection. How many weeks will she need to purchase stamps to have more than 500 stamps?
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 :)
Consider 4(2x + 3) = 2(4x + 6) after each
side of the equation is simplified.
Why does the equation have infinitely many
solutions?
Hope this helps you
Good luck
Due to an economic downturn, a company had to decrease its staff from 364 employees to 91 employees. What was the percentage decrease in staff?
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
What’s 70x56,000+65,000,000
Complete two expressions that have the same product as 3 x 5. 12
__________ x
1
12AND __________ x
3
12
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
What is the product of the a number?
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
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100 BRAINLY POINTS!!!
Sean conducted a survey among his classmates to determine if there was an association between how much
they like math and how much they like their math teacher. He asked his classmates to use a rating scale of 1
to 5, where 1 is the lowest and 5 is the highest. Sean graphed the ratings data from his survey on this scatter plot.
Based on this scatter plot, which statement is true?
A. There is a cluster of data that shows no relationship between how much Sean's classmates like math
and how much they like their math teacher.
B. There is an outlier in the data that shows no relationship between how much Sean's classmates like
math and how much they like their math teacher.
C. There is a positive linear association between how much Sean's classmates like math and how much
they like their math teacher.
D. There is a negative linear association between how much Sean's classmates like math and how much they like their math teacher.
HURRY PLEASE
EXPLAIN YOUR ANSWER
SHOW YOUR WORK
Answer:
I think Option C is the correct answer
I think it will help you.
PYTHAG THEOREM!
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, how long does the slide need to be? If necessary, round to the nearest tenth.
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.
What is Pythagoras theorem?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.
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Find the amplitude and period of y = 5 cos (4x)
Answer: amplitude is 5 and Period is pi/2
Step-by-step explanation:
yes ♀️