Joe was in charge of lights for a dance. The red light blinks every two seconds, the yellow light every three seconds, and the blue light every five seconds. If we include the very beginning and very end of the dance, how many times during a seven minute dance will all the lights come on at the same time
Answer:
We consider:
T1 = 2s
T2 = 3s
T3 = 5s
We calculate the least common multiple of the Ts:
Ttot = 30 s.
During a seven minute dance the lights will come on at the same time:
7*60 s / 30 = 14 times.
In a span of 7 minutes, the lights will blink together 14 times.
What is LCM?LCM of two or more than two given numbers is the smallest common multiple that is divisible by two or more than two given numbers.
Given, Joe was in charge of lights for a dance.
The red light blinks every two seconds, the yellow light every three seconds, and the blue light every five seconds.
∴ LCM of 2, 3, and 5 is 30 so the lights blink together after every 30 seconds.
So, in 7 minutes or (7×60) = 420 seconds the lights will blink together
(420/30) = (42/3) = 14 times.
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How far will the snail be from the rock after 9 minutes?
Answer:
27 inches <3
Step-by-step explanation:
f(-3)
f(x)= 3 to the power of x
5. You purchase a bicycle with a retail (pre-tax) price of $760. The local sales tax rate is
7.6%. What is the final cost?
Answer:
Final cost is 817.76
Step-by-step explanation:
First find the amount of the tax
760 * 7.6%
760 * .076
75.76
Add this to the cost of the bike
760+57.76
817.76
FIND THE PROBABILITY OF EACH EVENT. MAKE SURE YOUR PROBABILITY IS IN SIMPLEST FORM (NOT KEYWORDS)
M&M BAG HAS 5 BLUE, 6 GREEN, 10 YELLOW, 2 RED, AND 3 BROWN.
blue________
yellow_________
brown and red_________
not blue or brown________
purple____________
not red____________
skittles_____________
M&M__________
FIRST TWO ANSWERS HAVE A CHANCE OF GETTING BRAINLIEAST
Answer:
(a) The probability that at least 5 of the first 10 sites contain the given keyword is 0.0328.
(b) The probability that the search engine had to visit at least 5 sites in order to find the first occurrence of a keyword is 0.4096.
Step-by-step explanation:
Mark as brainliest if correct
Solve the system by substitution
8x + y = 4
-2x - 8 =y
(answer as an ordered pair)
What is the graph of the function rule? y=|3x|+2
Options below!
Answer: the 4th/last option
Step-by-step explanation:
Y goes up when x goes down or up. When x = 0, y = 2
Step-by-step explanation: I like to have the 3 on the
outside and we can just write it as y = 3|x| + 2.
Now, we know that this is the form y = a|x - h| + k where
(h, k) represents the vertex of the function.
Notice that there is no value of h so we say that h = 0.
In addition, we know that k = 2 so our vertex is (0, 2).
This eliminates the first graph and the third graph.
Since a is positive, our function opens upward.
So graph 4 matches with our equation.
Can someone help me make sense of the problem. Provide an explanation and answer if at all possible
Answer:
1.728×10¹⁵
Step-by-step explanation:
You may recall from 3rd grade that multiplying by 10 adds a zero to the right of a number (moves the decimal point 1 place to the right).
An exponent is used to signify repeated multiplication. These facts together are used to translate to/from scientific notation.
10 = 1 × 10
100 = 1 × 10 × 10 = 1 × 10²
__
Continuing in like fashion, 5.4×10⁸ represents 5.4 × (1 followed by 8 zeros).
Similarly, 3.2×10⁶ = 3.2 × (1 followed by 6 zeros)
The product will be ...
(5.4×10⁸)×(3.2×10⁶) = (5.4×3.2) × (1 followed by 8+6 = 14 zeros)
= 17.28 × 10¹⁴
= (1.728 × 10) × 10¹⁴ . . . moving the decimal point so there's 1 digit to its left
Adding that extra zero into the count we already have, this becomes ...
= 1.728×10¹⁵
_____
Additional comment
Your scientific or graphing calculator will have a mode for showing numbers in scientific notation. You can enter these numbers directly into your calculator and have it show you the result in scientific notation.
Or, you can use a spreadsheet with appropriate output cell formatting.
Answer:
1.728×10¹⁵ is the answer
Pls help. I need it asap
Answer:
18
Step-by-step explanation:
since the equation of AC is y=x-4 then the length of CB and AB must be the same. therefor its (6*6)/2
If x=9 and y=- -2 evaluate the following expression:
x+y
Answer:
x + y = 11
Step-by-step explanation:
You would need to substitute the numbers into the expression.
Evaluate means that we need to work out what the answer would be.
x + y is equivalent to 9 - - 2.
- - is equivalent to +.
Therefore you would do 9 + 2, which equals 11.
Hope this helps :)
What is the domain and range of this? Is it a function yes or no?
what is 110/12- 28/12 as an improper fraction
Answer:
82/12
Step-by-step explanation:
Write the formula for the volume of a cone V=1/3 π r^2 h in terms of h. Find the height h of a cone with volume V= 32π cm^3 and a radius r= 4cm
Answer:
Step-by-step explanation:
h≈1.91cm
4.
ind
home
Julio won a contest. His cash prize is given to him in the following way:
On the first day, Julio will receive $0.25.
For each successive day, the amount of money Julio receives doubles.
a. Write an explicit formula to represent the amount of money, f (d), in dollars, Julio receives d days after the first day.
b. How much money will Julio receive on the tenth day?
Julio will receive $ 128 on the tenth day.
Given that Julio won a contest, and his cash prize is given to him in the following way: On the first day, Julio will receive $ 0.25, and for each successive day, the amount of money Julio receives doubles, to determine an explicit formula to represent the amount of money, f (d), in dollars, Julio receives d days after the first day, and determine how much money will Julio receive on the tenth day, the following calculations must be performed:
0.25 x 2 ^ D = F 0.25 x 2 ^ 9 = F 0.25 x 512 = F 128 = F
Therefore, Julio will receive $ 128 on the tenth day.
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A vegetable cart sells potatoes for $0.24 and tomatoes for $0.76. Fred bought 12 vegetables in total. He only bought potatoes and tomatoes. If Fred paid $6.52 total, how many potatoes did he buy?
Let potatoes be a and tomatoes be b
[tex]\\ \sf\longmapsto a+b=12---(1)[/tex]
[tex]\\ \sf\longmapsto 0.24a+0.76b=6.52[/tex]
Simplify 2nd one
[tex]\\ \sf\longmapsto 0.06a+0.19b=1.63[/tex]--(2)
Solving both equations
b=7a=12-7=5can someone help with another question i posted 5 minutes ago
Answer:
Awnser
what is the question
CAN SOMEONE HELP ME PLEASE ASAP!?
Answer:
<
Step-by-step explanation:
if a is more than b, what is the equation for an ellipse with a centre at the origin and a horizontal major axis?
Answer:
[tex]\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1[/tex]
HELP!!! WILL MARK BRAINLIEST!!! +15 POINTS!! REAL ANSWERS ONLY PLEASE!
Answer:
3rd option
Step-by-step explanation:
Answer:
it's the first option (x ≥ -4)
Step-by-step explanation:
Domain refers to the x range, which is the horizontal line. As we can that the point last touches from the left is -4 and it is a colored circle so that means that there is a line underneath. Then, it goes right so that means that x is larger and/or equal to -4.
x ≥ -4
A dollar bill is about 0.00011 meter thick. What is this thickness in scientific notation?
Answer:
1.1 * 10 ^ -3Step-by-step explanation:
Given the value of the thickness of a dollar bill to be 0.00011 metre .
The standard scientific Notation is expressed as A * 10 ^ n
A is any value between 1 and 10 where n is any Integer .
0.00011 = 11 / 100000
0.00011 = 11 / 10000
0.00011 = 11 *1 / 1000
0.00011 = 11 * 0.0001
0.00011 = 1.1 * 0.001
0.0011 = 1.1 * 10 ^ -3
Hope this helps you !!I need help?????????
Answer:
3
Step-by-step explanation:
Triangle ABC has coordinates A(−6,2), B(−3,6), and C(5,0). Find the perimeter of the triangle. Round your answer to the hundredths place (2 decimal places) I will give brainliest
Answer:
26.18 units
Step-by-step explanation:
You could use distance formula three times to calculate the length of each side. Add the three lengths to find the perimeter. However, (see image) if you look at a graph of these points, two of the sides are the hypotenuse of a right triangle that have known, integer values--Pythagorean triples. The sides are 3-4-5 and the other is 6-8-10. We use the Pythagorean theorem to find the third side. See image.
11.18 + 5 + 10
= 26.18 units
The perimeter of triangle is 26.18.
What is triangle?A triangle is 2-dimensional closed curve. which has 3 sides, 3 angles and 3 vertices.
According to the question,
Triangle ABC has coordinates A(-6,2), B(-3,6), C(5,0).
Distance formula: √(x₂-x₁)² + (y₂-y₁)².
Points A and B are (-6,2) and (-3,6)
= √(-3-(-6))² + (6-2)²
= √9+16
= √25
=5.
Thus, point A and B has distance, S₁ = 5.
Points B and C are (-3,6) and (5,0)
Distance formula: √(x₂-x₁)² + (y₂-y₁)²
= √(5-(-3))² + (0-6)²
= √(8)² + (-6)²
= √(64+36)
=√100
=10.
Thus, point B and C has distance, S₂ = 10.
Points C and A are (5,0) and (-6,2)
Distance formula: √(x₂-x₁)² + (y₂-y₁)²
= √(-6-(5))² + (2-0)²
= √((-11)² + (2)²)
=√(121+4)
=√125
=5√5
Thus, point C and A has distance, S₃= 5√5.
Perimeter of triangle = S₁ + S₂+S₃
= 5 + 10 + 5√5
=15+5√5
=15+5(2.23606)
=15+11.1803
=26.1803 ≈ 26.18
Hence, the perimeter of triangle is 26.18.
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What is 1 4/5 times 2 1/3
Answer:
4.2
Step-by-step explanation:
4 1/2
Explanation:1 4/5 = 9/5
2 1/3 = 7/3
---------------------------
9/5 · 7/3 = 21/5 OR 4 1/2
omg please i need help this is worth sm pointssss PLEASE BESTIES
Answer: 1. don't call me your bestie...
2. the answer is A. 72 B. 75 C. 55 D. 52 E. 112 F. 55 G. I'm not sure what G is
Light intensity (I) is proportional (a) to the inverse square of distance (d) of a subject from a light
source. The relationship in intensities for subjects at different distances from the same source can
be likewise seen as a ratio or proportional relationship.
I x
A proportional relationship can be mathematically expressed as follows for light intensity (I) in
lumens when a subject is at the light source.
Lumens at current distance
Lumens at origin or source
So, if a light intensity (I) is 516 lumens at the source and 4 lumens at a specific distance from the
source, what is that distance?
Round the value to the nearest tenth if necessary. You do not need to include a label for distance.
Only the number, rounded to the tenth, will be necessary.
The required distance is 11.4 rounded to the tenth
If light intensity (I) is proportional (a) to the inverse square of distance (d) of a subject from a light source, this is expressed as:
l = ka/dk is the variation constant
If a light intensity (I) is 516 lumens at the source and 4 lumens at a specific distance from the source, the distance is calculated as:
l = a/d²
d² = a/l
d² = 516/4
d = √129
d = 11.4
Hence the required distance is 11.4 rounded to the tenth
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Which expression represents how many years are in X months
Answer:
12 months is one year so the expression is:
Step-by-step explanation:
2year = 2(X)
so you know one year 12 months you can put 12 on the x value
2 years = 2(12)
2 years = 24 months
a paper company needs to ship paper to a large printing business the paper will be shipped in small boxes in large boxes the volume of each box is 6 ft.³ and the volume of each large box is 12 ft.³ a total of 27 boxes of paper were shipped with a combined volume of 250 to cubic fe. graphically solve a system of equations in order to determine the number of small boxes shipped X and the number of large boxes shipped Y
Answer:
the answer is 10 :)
Step-by-step explanation:
Francisco sold 9 rolls of wrapping paper for a band fundraiser earning the band $22.50. Sharon sold 16 rolls of wrapping paper and earned $40.00 for the band. If this relationship is graphed with the number of rolls sold on the x-axis and the money earned on the y-axis, what is the slope of the graph in dollars per roll?
A. 1.25
B. 2.50
C. 3.75
D. 5.00
Answer:
A
Step-by-step explanation:
If the relationship is graphed with the number of rolls sold on the x-axis and the money earned on the y-axis
Then the two points on that line will be (14,17.50) and (16,20)
We know that the slope of a lien with points is give by:-
Hence, the slope of the graph with points (14,17.50) and (16,20) is given by :-
Therefore, the slope of the graph = 1.25 dollars per roll.
2/10 = 20%= 0.2
True or false
Answer:
True
Step-by-step explanation:
Hello could someone help me I don’t get this? Will name brainliest :D if correct answer please no links
Answer:
A -- only
Step-by-step explanation:
A segment bisector intersects a segment at its midpoint.
S is the midpoint of segment PQ, so ST is a segment bisector. (It intersects PQ at its midpoint, S.)
No other midpoints are shown in this drawing.
__
A perpendicular bisector is perpendicular to the segment it bisects. None are shown in this drawing.
__
An angle bisector divides an angle into two congruent parts. None are shown in this drawing.
__
The vertex of a right angle is often marked with a small square. Only point P is the vertex of a right angle in this drawing. (We cannot assume OPQR is a square.)