Ocean waves crash on the beach at a
velocity of 4.4 m/s. If the distance
between the crest of each wave is 4m,
find the frequency of the waves.
Answer:
f = 1.1 Hz
Step-by-step explanation:
Given that,
The velocity of an ocean wave, v = 4.4 m/s
The distance between the crest of each wave is 4 m.
We need to find the frequency of the waves.
The distance between the crest of a wave is called the wavelength of a wave.
The relation between the frequency, wavelength and the velocity of a wave is given by :
[tex]v=f\lambda\\\\f=\dfrac{v}{\lambda}\\\\f=\dfrac{4.4}{4}\\\\f=1.1\ Hz[/tex]
So, the frequency of the waves is 1.1 Hz.
write the equation of each line in slope-intercept form
Answer:
the 2nd one is -2/2 so the equation would be y=-2/2x+4 the 1st it's kinda blurry it fades away.... but for the 1st one the y- int. is 2 so it would be
y= slope x +2
What is the measure of N? A)23 B)25 C)27 D)45
what is the slope of (4,6) and (-6,2)
Answer:
2/5
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(2-6)/(-6-4)
m=-4/-10
simplify
m=2/5
Answer:
Step-by-step explanation:
Slope is m=(y2-y1)/(x2-x1)
m=(2-6)/(-6-4)
m=-4/-10
m=2/5
Find the value of x. Round your answer to the nearest tenth.
Answer:
In this question, we can use the Pythagorean theorem to solve for x.
11^2 + x^2 =24^2
x^2 = 24^2 -11^2
x is about 21.3
Let me know if this helps!
Solve the following rational equation plz help!!
Answer:
x = [tex]\frac{9}{4}[/tex]
Step-by-step explanation:
Given
[tex]\frac{4x}{x+1}[/tex] - [tex]\frac{5}{x}[/tex] = [tex]\frac{4}{x^2+x}[/tex] ← factor denominator
[tex]\frac{4x}{x+1}[/tex] - [tex]\frac{5}{x}[/tex] = [tex]\frac{4}{x(x+1)}[/tex]
[ x ≠ 0, x ≠ - 1 as these would make the terms undefined ]
Multiply through by x(x + 1)
4x² - 5(x + 1) = 4
4x² - 5x - 4 = 4 ( subtract 4 from both sides )
4x² - 5x - 9 = 0 ← in standard form
(x + 1)(4x - 9) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
4x - 9 = 0 ⇒ 4x = 9 ⇒ x = [tex]\frac{9}{4}[/tex]
However, x ≠ - 1 for reason given above, then
solution is x = [tex]\frac{9}{4}[/tex]
could someone help me? i'd appreciate it thank you
x = 70°, y = 30°, z = 20°
Step-by-step explanation:
Right triangle have a total internal angle of 180°.
x = 180° - 110°
= 70°
z = 180° - 90° - x
= 180° - 90° - 70°
= 20°
y = 180° - 40° - 90° - z
= 180° - 40° - 90° - 20°
= 30°
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Answer:
4x^10y^8
Step-by-step explanation:
i need help with this equation ASAP pls: If you know that log5 x – logs 12 = 0, which of the following is false?
a. log5 (x – 12) = 0
b. logs (1)
= 0
c. log5 x = logs 12
d. x = 12
Answer:
the second is false
Step-by-step explanation:
because oe would match unlike 2
What is a formula for the nth term of the given sequence?
36, -48, 64...
Answer:
A formula for the nth term of the given sequence is:
[tex]a_n=36\left(-\frac{4}{3}\right)^{n-1}[/tex]
Step-by-step explanation:
Given the sequence
36, -48, 64...
We know that a geometric sequence has a constant ratio r and is defined by
[tex]a_n=a_1\cdot r^{n-1}[/tex]
Compute the ratios of all the adjacent terms
[tex]\frac{-48}{36}=-\frac{4}{3},\:\quad \frac{64}{-48}=-\frac{4}{3}[/tex]
The ratio of all the adjacent terms is the same and equal to
[tex]r=-\frac{4}{3}[/tex]
Therefore, the given sequence is a geometric sequence.
As the first element of the sequence is
[tex]a_1=36[/tex]
so substituting [tex]a_1=36[/tex] and [tex]r=-\frac{4}{3}[/tex] in the nth term
[tex]a_n=a_1\cdot r^{n-1}[/tex]
[tex]a_n=36\left(-\frac{4}{3}\right)^{n-1}[/tex]
Therefore, a formula for the nth term of the given sequence is:
[tex]a_n=36\left(-\frac{4}{3}\right)^{n-1}[/tex]
Variable Terms in 3x + 2 – 10 – 3x
Answer:
X
Step-by-step explanation:
because its the varible term
14 pencils cost £3.36. How much would 8 pencils cost?
Answer:
£1.92
Step-by-step explanation:
3.36/14 will give you the cost of each pencil
£0.24 is the cost of one pencil
8 pencils will cost you £1.92
Boris and smidgely share 28 portions of plum pudding in the ratio2:8 and6:1 how many portions does smidgely receive
Answer:
4
Step-by-step explanation:
Factor each expression by finding the GCF.
8 + 16 =
8 ( 1 + 16)
2 (4 + 16)
8 ( 1 + 2)
4 (2 + 6)
Mark works at a rock concert selling programs. He is paid $15 for
the night plus 20¢ for each program that he sells. He sells 150
programs. How much does he earn working at the rock concert?
Answer:
$45
Step-by-step explanation:
15 + (150 * 0.20)
15 + 30
$45
Find the slope of the line. Enter your answer in simplest form.
Answer:
3
Step-by-step explanation:
so.i think y=3x+b. I'm not completely sure but y2-y1 over x2-x1
Answer:
2
Step-by-step explanation:
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]= \frac{-3-3}{3-6}\\\\=\frac{-6}{-3}\\\\= 2[/tex]
Select ALL of the following inequalities that could represent the situation:
4 more than x is at least 22
Answer:
Can anyone please answer my question please I need it please
Answer:
x + 4 [tex]\geq[/tex] 22
Step-by-step explanation:
maybe, i'm not sure
A local charity is selling seats to a baseball game. Seats cost $24 each, and snacks cost an additional $6 each. The charity needs to raise $360 to consider this event a success.
Answer:
They could sell 10 people one seat and 2 snacks each.
$24+$6+$6=$36
That's be $36x10=$360
Step-by-step explanation:
Sac had a rope that was 15 feet long. He cut it into three pieces. The first piece was 3.57 feet longer than the second piece. The third piece was 2.97 feet longer than the second piece. How long was the third piece of rope?
Answer:
5.79 feet
Step-by-step explanation:
Let us represent
First piece = x
Second piece = y
Third piece = z
Sac had a rope that was 15 feet long.
x + y + z = 15
He cut it into three pieces.
The first piece was 3.57 feet longer than the second piece.
x = 3.57 + y
The third piece was 2.97 feet longer than the second piece.
z = 2.97 + y
How long was the third piece of rope?
x + y + z = 15
3.57 + y + y + 2.97 + y = 15
3y + 6.54 = 15
3y = 15 - 6.54
3y = 8.46
y = 8.46/3
y = 2.82 feet
Therefore, the length of the third piece z = 2.97 + y
z = 2.82 + 2.97
z = 5.79 feet
Which fraction divided by 3/6 is equal to -9/10? A-9/20. B9/20. C-3/2. D9/40
Answer: -9/20 is equal to -9/10 when divided by 3/6 (1/2)
Step-by-step explanation:
Begin by reducing the fraction you're dividing with. In this case 3/6 can be reduced to 1.2, also known as 0.5 Beginning with -9/20, as it is the first answer option, we can put the problem into the following equation: -9/20 * 2/1 = -9/10.It is always good to verify all of your answer options are not possible answers. However, in a question like this, the math evenly works out in most cases, eliminating any other possible answer options.
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Help PLEASE!!!! Slope
Answer:
(We don’t have a picture so i’ll remind you about how to solve it.)
Step-by-step explanation:
Slope is rise over run. You find a point of the graph where the line goes through. Look for a 2nd point on the graph where the line goes through a point. Count up, and to the side and you have your answer :)
The average of a list of 4 numbers is 90.0 . A new list of 4 numbers has the same first 3 numbers as the original list, but the fourth number in the original list is 80 , and the fourth number in the new list is 96 . What is the average of this new list of numbers?
Answer:
94
Step-by-step explanation:
Average = sum of numbers / number of items in the set
for the first list, the average is 90 and there are four numbers, the sum of the numbers is 90 x 4 = 360
If the 4th number is 80, the sum of the first 3 numbers = 360 - 80 = 280
so the sum of the first three numbers on the second list is 260. The fourth number is 96. The sum of the numbers = 280 + 96 = 376
Average of the new list = 376 / 4 = 94
A school club purchases sandwiches and pretzels for a lunch. Each sandwich costs $4.25 and each bag of pretzels costs $0.75. A total of 48 items (sandwiches and pretzels) were purchased for a total cost of $175. If s = the number of sandwiches and p = the number of pretzels, which system represents this situation?
A. s + p = 48
4.25s + 0.75p = 175
B. s + p = 175
4.25s + 0.75p = 48
C. s + p = 48
0.75s + 4.25p = 175
D. s - p = 48
4.25s + 0.75p = 175
Answer: I’m 95% sure it’s A
Can someone help me with real numbers
Answer:
Answer is on the pic
Explanation:
I hope it's helpful!
Kara ran 5 miles yesterday. She ran again today. Her total distance for
both days is 6.5 miles. If she ran at a pace of 6 miles per hour today,
how long did Kara run today?
9514 1404 393
Answer:
15 minutes
Step-by-step explanation:
We can let t represent the time in hours that Kara ran today. Then her distance today is ...
distance = speed · time
distance = 6t
Her total distance for both days is ...
5 + 6t = 6.5
6t = 1.5 . . . . . . . . . . subtract 5
t = 1.5/6 = 1/4 . . . . . divide by 6
Kara ran 1/4 hour today. That is 15 minutes.
Find the slope of the line
y=-6/5x + 4/9
Answer:
-6/5
Step-by-step explanation:
slope =coefficient of x
A TV that usually sells for $185.63 is on sale for 25% off. If sales tax on the TV is 5%, what is the price of the TV, including tax?
Answer: A TV that usually sells for $185.63 is on sale for 25% off. If sales tax on the TV is 5%, what is the price of the TV, including tax?
178.18 x 0.25 = 44.55
178.18 - 44.55 = 133.63 = sales price
133.63 x 0.05 = 6.68
133.63 + 6.68 = 140.31 = total price
Step-by-step explanation: That's how I solved it...
Find C and a so that f(x) = CaX models the situation described. State what the variable x represents in your formula. In 2000 a house was worth $220,000, and its value decreases by 11% each year thereafter. please help im failing
Answer:
f(x) = Ca^x
x = years since 2000.
f(0) = 220000 = Ca^0 = C
f(x) = 220000a^x
f(1) = 220000(1-0.11) = 220000a^1
a = 0.89
f(x) = 220000(0.89)^x
So each year reduces by 89%
1) A basketball player made 13 out of every 20 free-throws. How many
free-throws does he make out of every 100 attempts?
Answer:
20*5=100
So it would be 13*5=65
Step-by-step explanation:
Which graph represents the inequality you found in part i.?
Answer:
Graph A represents the inequality x > 6.
A
Hope this helps have a great day