60% of the seats on the train are empty
you have to divide 900 by 9 to get 100 because percents are out of 100, then you have to divide 540 by 9 also.
Answer:
60%
Step-by-step explanation:
Because there are 540 empty, and 900 total, you need to divide 540 by 900.
540/900=54/90=6/10=60/100
When you get 60/100, or 0.6, you know that it is 60 percent because percent is out of 100.
If 15 out of 25 students are boys,what percent of the class is made up of boys?
Answer: 6%
Step-by-step explanation:
The height, h, in feet of the tip of the hour hand of a wall clock varies from 9 feet to 10 feet. Which of the following equations can be used to model the height as a function of time, t, in hours? Assume that the time at t = 0 is 12:00 a. M. H = 0. 5 cosine (StartFraction pi Over 12 EndFraction t) 9. 5 h = 0. 5 cosine (StartFraction pi Over 6 EndFraction t) 9. 5 h = cosine (StartFraction pi Over 12 EndFraction t) 9 h = cosine (StartFraction pi Over 6 EndFraction t) 9.
The motion of the hour hand of a clock is a periodic motion that repeats every 12 hours.
The equation that can be used to models the height as a function of time, based on the given options, is presented as follows; [tex]\displaystyle \underline{ H = 0.5 \cdot cos \left(\frac{\pi}{6} \cdot t \right) + 9.5}[/tex]Reasons:
The given parameters are;
The variation of the height of the tip of the hour hand = 9 feet to 10 feet
At t = 0, the time = 12.00 a.m.
Required: The equation that can be used to model the height as a function of time.
Solution:
The general form of the cosine function is presented as follows;
y = a·cos(b·x - c) + d
The amplitude = a
[tex]\displaystyle a = \mathbf{ \frac{Maximum \ value -Minimum \ value}{2}}[/tex]
Therefore;
[tex]\displaystyle a = \frac{10 -9}{2} = 0.5[/tex]
b = The cycle speed
The period, T, is given as follows;
[tex]\displaystyle T = \mathbf{ \frac{2 \cdot \pi}{b}}[/tex]
The period of a block, T = 12 hours
Therefore;
[tex]\displaystyle b = \frac{2 \cdot \pi}{T}[/tex]
[tex]\displaystyle b = \frac{2 \cdot \pi}{12} = \mathbf{ \frac{ \pi}{6}}[/tex]
[tex]\displaystyle d = \mathbf{ \frac{Maximum \ value +Minimum \ value}{2} = \frac{10 + 9 }{2}} = 9.5[/tex]
At t = 0, H = The highest point = 10 ft.
Which gives;
[tex]\displaystyle H = \mathbf{0.5 \cdot cos \left(\frac{\pi}{6} \times 0 -c\right) + 9.5} = 10[/tex]
[tex]\displaystyle cos \left( -c\right) = \frac{0.5}{0.5} = 1[/tex]
-c = arcos(1) = 0
-c = 0
c = 0
The equation is therefore;
[tex]\displaystyle H = \mathbf{0.5 \cdot cos \left(\frac{\pi}{6} \cdot t \right) + 9.5}[/tex]
The above equation is the same as; H = 0.5cosine (StartFraction pi Over 6 EndFraction t) + 9.5
Learn more about the cosine function here:
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Match the vocabulary word with the correct definition,
1. coefficient
a number, a variable, or the product
of a number and variable(s)
a letter used to represent an
unknown number
The number in front of a variable in
2. constant
3. term
a term
a single term, multiple terms
connected by an addition or subtraction
sign
a number, a term containing no
4. variable
5. expression
variables
TURNITIN
NEXT QUESTION
READ NEXT SECTION
ASK FOR HELP
Answer:
Definitions matched below with vocabulary wordsStep-by-step explanation:
A number, a variable, or the product of a number and variable(s)
→ 3. termA letter used to represent an unknown number
→ 4. variableThe number in front of a variable in a term
→ 1. coefficientA single term, multiple terms connected by an addition or subtraction sign
→ 5. expressionA number, a term containing no variables
→ 2. constantSolve the following system of equations using the substitution method.
x = 2y
2x + 5y = 9
From the given system of equation x = 2y and 2x + 5y = 9, using the substitution method we get the value of y = 1.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Solutions to an equation are those values of the variables involved in that equation for which the equation is true.
We have given system of equation
x = 2y
2x + 5y = 9
Using the substitution method
2(2y) + 5y = 9
4y + 5y = 9
9y = 9
y = 1
Learn more about solving equations here:
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Help help help help help math
Answer:
8
Step-by-step explanation:
Express the following equation in slope intercept form: 8x-2y=10
please
Answer:
y=4x-5
Step-by-step explanation:
8x-2y=10
-8
-2y=-8x+10
-2= -2 -2
y=4x-5
What is 13/12 as a percentage?
Help me Please no bots I need help
Answer:
y = 2/3x + 3/2
Step-by-step explanation:
18 inches is 3/2 feet. 8 inches is 2/3 feet.
The equation will have a slope of 2/3 ft per year, and an initial value of 3/2 ft.
y = 2/3x + 3/2
1 5/6 ÷3/4 the first 1 is a mixed fraction so its one five by six
Answer:the answer is 22/9 or in mixed form would be 2 4/9 but in decimal it’s 2.4 but the 4 is repeated
pls help it's due today
Answer:
x = 5
y = 8.66
Step-by-step explanation:
I hope this helps!!
Evaluate the equation:
4z = 10
z =
Answer:
z = 2.5
Step-by-step explanation:
4z = 10
---- -----
4 4
z = 2.5
hope this helps! :D
have a miraculous day, and brainliest is immensely appreciated!! <3
choose the unit that measures distance
A. Feet
B. Pounds
C. Ounces
D. A.M
Answer:
Feet
Step-by-step explanation:
Her Packet.pdf + 127% 7. Approximately 4% of the population has blonde hair, and 10% of the population has blue eyes. If 75% of people with blonde hair have blue eyes, what percent of the population has blue eyes without blonde hair? Show your work.
Using proportions, it is found that 7% of the population has blue eyes without blonde hair.
10% of the population has blue eyes. These 10% are composed by:
75% of 4%(have blonde hair).x% of 96%(do not have blonde hair)Hence, the relation according to the proportion of 10% is:
[tex]0.75(0.04) + 0.96x = 0.1[/tex]
[tex]x = \frac{0.1 - 0.75(0.04)}{0.96}[/tex]
[tex]x = 0.0729[/tex]
Out of the entire population:
0.0729(0.96) = 0.07
7% of the population has blue eyes without blonde hair.
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given the line y=-2x - 1 and the point (4,4) find the equation of the line perpendicular to the given line
Answer:
y= (1/2)x + 2
Step-by-step explanation:
yeah-ya.......... right?
Serious help needed what is the domain and range
Answer:
domain: all real numbersrange: -1 ≤ y ≤ 5 or -1 ≤ y < ∞Step-by-step explanation:
The arrows on the ends of the graph mean the graph extends indefinitely left and right. The domain is the horizontal extent of the graph, so it extends from -∞ to +∞, all real numbers.
__
The upward slant of the graph at the ends is ambiguous regarding the vertical extent of the graph. It could mean either of ...
the graph oscillates indefinitely between the values -1 and +5, orthe graph continues upward toward +∞We expect the latter case would be drawn with the ends of the arrows above the peak value shown. However, oscillation tends to involve a certain symmetry, and the graph has no symmetry about the local minimum points. In short the usual clues to the vertical extent are missing. Your guess is as good as mine.
The range could be [-1, 5], or it could be [-1, ∞). We cannot tell from this graph.
_____
Additional comment
The shape of the graph does not seem to match that of a 4th-degree polynomial, so we're not at all certain what sort of function is being plotted here. (A 4th-degree polynomial gets steeper beyond the outside zeros, rather than flatter, as shown here.) A couple of different functions with the approximate characteristics shown are graphed in the attachment.
help me please jfjfjd
Answer:
10. y degree = 102 degree
11. x degree = 103 degree
Step-by-step explanation:
The formula to calculate the sum of the interior range of polygons is (n-2) * 180.
With n being the number of sides.
From that sum, you can then deduce the angles of y or x, by substracting the other angles.
10. n = 4 => ( 4 - 2 ) * 180 = 2 * 180 = 360 degree
y = 360 - 120 - 85 - 53 = 102 degree
11. n = 5 => (5 - 2) * 180 = 3 * 180 = 540 degree
x = 540 - 117 - 100 - 105 - 115 = 103 degree
HELP!!!
‐6x – 1 = 23
Please do not just post the answer please explain how you got the answer. Whoever explains best gets brainliest!
Answer:
-4
Step-by-step explanation:
23+1=24
24/-6=-4
PLEASE HELPPPP! ANYTHING U CAN ANSWER WOULD BE SOOO GREAT :) (AND NO ITS NOT A VIRUS)
Answer:
but what if it is a virus?
Step-by-step explanation:
Answer:
isnt oit iron pick
Step-by-step explanation:
Three men can build a wall in 8 days. How long will it take them if they have the help of 2 boys? Assume that each boy works half as fast as each man.
(with explanation pls)
Answer:
6 days
Step-by-step explanation:
2 boys that each work half as fast as the men is equivalent to having one extra man. So instead of 3 men we have 4. 4/3 the manpower means 3/4 the time. 3/4 of 8 is 6.
Answer:
6 days.
Step-by-step explanation:
The 3 men can build 1/8 of a wall in 1 day.
So 1 man can build 1/24 wall in 1 day.
So 1 boy can build 1/48 in 1 day and 2 boys can build 1/24 wall in 1 day.
So we have the equivalent of 4 men working and they can build 4 * 1/24
= 1/6 of a wall per day
So the answer is 6 days.
How to expand Expand 7n-3+1-2n
Answer:
5n-2
Step-by-step explanation:
collect like terms
-> (7n-2n)+(-3+1)
simplify
=> 5n-2
Please guys the surface area of the pyramid... I will mark you brainliest
Answer:
I can answer this but all you have to do is get the length, weight, and height and multiply it. I was going to do it but I could it find the height, and width.
Reed compró 1.8 libras de frijoles. Los frijoles cuestan
$1.27 por libra. ¿Cuál fue el precio total de los frijoles que compro Reed?
Answer:
1.27? :v
Step-by-step explanation:
porque la libra cuesta 1.27 y el solo compro 1.8? la verdad no tiene sentido esta pregunta o quizas abra que hacer una ecuacion...en fin suerte.
h(x) = 4x + 3; Find h(1)
Answer:
h(1) = 7
Step-by-step explanation:
h(x) = 4x + 3
h(1) = 4(1) + 3
h(1) = 4 + 3
h(1) = 7
Java 1
Question 20
What will be printed by the following code?
String str = "Have a nice day!";
System.out.println(str.length());
a. Have a nice day
b. 16
c. 13
d. Have
e. 4
Question 21
Examine this code:
String str = "Hello World!" ;
What is the index of the character 'W'?
a. 6
b. 7
c. 5
d. 8
e. 2
Answer:
Q20 b.16
Q21 a.6
Step-by-step explanation:
count charcters Have a nice day! ==16
Q21 why 6
because index start with 0 and not 1
just count
H ==> 0
e==> 1
l==> 2
.
.
W=>6
4. Does the scatterplot have positive correlation, negative correlation, or no correlation?
Negative correlation
Positive correlation
No correlation
Answer:
Negative Correlation
Step-by-step explanation:
The plot looks like it's going downwards. If it was an equation, it'd be something with y = -x +b.
please help me asap plz
Unit rate is the conversion of one unit to another unit with its standard conversion.
The width of the gymnasium in the blueprint is 4.75 inches.
What is unit conversion?Unit rate is the conversion of one unit to another unit with its standard conversion.
Example:
1 minute = 60 seconds
1 km = 100 m
1 m = 100 cm
1 feet = 12 inches
We have,
Gymnasium:
Length = 88 feet
Width = 76 feet ____(1)
Blueprint:
Gymnasium:
Length = 5.5 inches
This means,
88 feet = 5.5 inches
Divide both sides by 88.
1 feet = 0.0625 inches ____(2
The width of the gymnasium on the blueprint.
From (1) and (2)
76 feet
= 76 x 1 feet
= 76 x 0.0625 inches
= 4.75 inches.
Thus,
The width of the gymnasium in the blueprint is 4.75 inches.
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what is 0.04 km, 420 cm, 4,600 mm, and 4.3 meters in order from least to greatest
Answer:
420 cm, 4.3 meters, 4600 mm, 0.04 km
Step-by-step explanation:
We can solve this by converting each to the same unit. I will be using meters.
0.04 km
1 km = 1000 meters
1000 meters / 1 km = 1
multiply 0.04 km by 1 = 1000 meters / 1 km , keeping the km at the bottom to cross out
0.04 km * 1000 meters / 1 km = 40 meters
420 cm
100 cm = 1 meter
1 meter / 100 cm = 1
multiply 420 cm by this, keeping cm at the bottom so it crosses out
420 cm * 1 meter / 100 cm = 4.2 meters
4600 mm
1000 mm = 1 meter
1 meter / 1000 mm = 1
4600 mm * 1 meter / 1000 mm = 4.6 meters
Therefore, our order is
420 cm, 4.3 meters, 4600 mm, 0.04 km
The expression 2,500(1.095)x represents the value of an investment after x years. What is the meaning of the 2,500?
Answer:
The value of the investment
Step-by-step explanation:
Ned had 76 boxes. together the boxes weighed 723 kilograms. About how much did each box weigh
Answer: ~9.51 kilograms each.
Step-by-step explanation: 723/76=9.5131
If the slope of a line is 2/3 and one point is (1, 1), what could be another point?
Answer:
(3,4)
Step-by-step explanation:
My old teacher taught me a trick for this. Treat the first number like the y and the second like the x. Count Accordingly from there.