The cinnamon-scented jar candle brunt faster.
What does relative speed means ?Relativity means observing some action with different perspective.
Suppose you are moving in a bus at 100 km/hr and you are reading a book.To an observer which you are passing by you and the book he observes moving at a speed of 100 km/hr.But for you the book is not moving at all because both you and the book is moving at a speed of 100 km per hour.
According to the given question Andrei had cinnamon-scented jar candle that burned for 303030 hours and a berry-scented pillar candle that burned for 888888 hours.
From the given data of burning hours we can observe that berry-scented pillar candle that burned for 888888 hours which is more that of Andrei had cinnamon-scented jar candle that brunt for 303030 hours because
30303030 < 888888.
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John drove 235 miles in 5 hours. If he continued at that same rate, how long would it take to travel 376 Miles?
The speed John will be 47 miles per hour. Then the time to travel 376 miles will be 8 hours.
What is speed?The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.
We know that the speed formula
Speed = Distance/Time
John drove 235 miles in 5 hours. Then the speed of the John will be
Speed = 235 / 5
Speed = 47 miles per hour
If he continued at that same rate. Then the time to travel 376 miles will be given as,
47 = 376 / Time
Time = 376 / 47
Time = 8 hours
The speed John will be 47 miles per hour. Then the time to travel 376 miles will be 8 hours.
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Answer:8
Step-by-step explanation:
evaluate the expression
Answer: 3
Step-by-step explanation:
3 * 3 * 3 = 27
Answer:
3
Step-by-step explanation:
The expression is cube root.
The root function essentially wants to find a number that when multipled n times will give the input to the function.
In this case n = 3
We need a number when multiplied by itself 3 times will give us 27.
In other words we need [tex]x^{3}[/tex] = 27
If u rearrange u simply get the expression given and u can solve simply by way of calculator.
How many planes in the diagram contain point W
There are [tex]Three[/tex] planes in the diagram containing point "W".
As per the question statement, We are given a diagram comprising of various planes and we are supposed to find out the number of planes comprising of point "W".
To solve this question, we should have the knowledge of what exactly is a plane.
Plane: A plane is a two - dimensional doubly ruled surface extended across by two linearly independent vectors.In the given diagram, we can see that the point "W" lies on the plane formed by the following points:
[tex]U-R-W-V[/tex] [tex]R-W-S[/tex] [tex]V-W-S-T[/tex]As Point "W" is common is all the given [tex]Three[/tex] planes hence "3" is the correct answer.
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what is 1+1?
And hows ur day???
Answer:
The answer is 2, and thanks for asking my day's good :D
How's your day?
Step-by-step explanation:
how do i do part (iii). the answer is 2 but i got the answer based on guessing. how do i do this w/o guessing? thank you.
Answer:
(i) 2² · 3 · 7
(ii) 3024
(iii) k = 16
(iv) 12 cm
Step-by-step explanation:
Part (i)The first few prime numbers are: 2, 3, 5, 7, 11, 13, 17, ...
To find which prime numbers multiply together to make 84, start by dividing 84 by the first prime number, 2:
⇒ 84 ÷ 2 = 42
As 42 is not a prime number, we need to divide again:
⇒ 42 ÷ 2 = 21
As 21 is not a prime number, we need to divide again.
21 is not divisible by 2, so let's try dividing by the next prime number, 3:
⇒ 21 ÷ 3 = 7
As 7 is a prime number, we can stop.
Therefore, 84 is the product of:
⇒ 84 = 2 · 2 · 3 · 7
As 2 appears two times, we can write this using exponents:
⇒ 84 = 2² · 3 · 7
Part (ii)Lowest Common Multiple (LCM): The lowest multiple shared by two or more numbers.
Prime Factors Method of finding LCM
Step 1
Find the prime factorization of each number.
From part (i): 84 = 2² · 3 · 7
Given in part (ii): 432 = 2⁴ · 3³
Step 2
Write each number as a product of primes, matching primes vertically where possible:
[tex]\begin{array}{ r c c c c c c c ccccccccc}84&=& 2 & \cdot & 2 & \cdot & & & & & 3& \cdot & & & && 7\\\\432 &=& 2 & \cdot & 2 &\cdot & 2& \cdot & 2& \cdot & 3& \cdot & 3& \cdot & 3\\\\\cline{1-17} \\\sf LCM & = & 2 & \cdot & 2 &\cdot & 2& \cdot & 2& \cdot & 3& \cdot & 3& \cdot & 3 &\cdot & 7\end{array}[/tex]
Step 3
Bring down the primes in each column then multiply the factors to get the LCM:
⇒ LCM = 2 · 2 · 2 · 2 · 3 · 3 · 3 · 7
⇒ LCM = 2⁴ · 3³ · 7
⇒ LCM = 3024
Part (iii)From part (ii) we know that the prime factorization of 432 is:
432 = 2⁴ · 3³
A perfect cube is a number multiplied by itself three times.
One of the factors of 432 is a perfect cube → 3³.
Therefore,
[tex]\begin{aligned}432 & = 2^4 \cdot 3^3\\\\\implies \dfrac{432}{2^4} & = 3^3\\\\\dfrac{432}{16} & = 3^3\end{aligned}[/tex]
So we need to divide 432 by 2⁴ to get the perfect cube 3³.
Therefore,
⇒ k = 2⁴
⇒ k = 2 · 2 · 2 · 2
⇒ k = 16
Part (iv)To find the largest possible length of the side of the square, we need to find the greatest common factor of 432 and 84.
Prime Factors Method of finding GCF
Step 1
Find the prime factorization of each number.
From part (i): 84 = 2² · 3 · 7
Given in part (ii): 432 = 2⁴ · 3³
Step 2
Write each number as a product of primes, matching primes vertically where possible:
[tex]\begin{array}{ r c c c c c c c ccccccccc}84&=& 2 & \cdot & 2 & \cdot & & & & & 3& \cdot & & & && 7\\\\432 &=& 2 & \cdot & 2 &\cdot & 2& \cdot & 2& \cdot & 3& \cdot & 3& \cdot & 3\\\\\cline{1-17} \\\sf GCF & = & 2 & \cdot & 2 & \cdot & & & & & 3& & & & && \end{array}[/tex]
Step 3
Bring down the primes in the columns where both numbers have the factor, then multiply the factors to get the GCF:
⇒ GCF = 2 · 2 · 3
⇒ GCF = 12
Therefore, the largest possible length of the side of the square is 12 cm.
how do you calculate these numbers from least to greatest −2.0, 0.25, −1.02, 1.98.?
Answer: -2.0, -1.02, 0.25, 1.98
Step-by-step explanation:
Remember that negative numbers always go last. The bigger the negative number is, the smaller its quantity is. So -2.0 is less than -1.02. Then we have the positive numbers: 0.25, and 1.98. 0.25 is less than 1.98 because 1.98 has a whole number and 0.25 doesn't have a whole. Hope this helps :)
e
The temperature in a town is 23.3°F during the day and -21.4°F at night. Find the difference in the temperatures.
Answer:
53.7 degrees.
Step-by-step explanation:
What strategy would be the best to solve this problem?
Ann-Marie bought apples. She kept one-third for herself and gave the rest to 4 friends. Each friend got 2 apples. How many apples did Ann-Marie buy?
What strategy would be the best to solve this problem?
A. guess, check and revise
B. work backwards
C. use a formula
D. look for patterns
Answer:
look for patterns also, Ann purchased 12 apples
Step-by-step explanation:
x apples
1/3 of x, (x - x/3) = (3x - x) /3 = 2x/3
Number of people who shared (2x/3) = 4 with each getting 2Total number shared = 4 * 2 = 8Fraction shared = total shared2x/3 = 8Multiply both sides by 3(2x/3) * 3 = 8 * 32x = 24x = 12
12. Feeling hot, hot, hot! Here is a stemplot using split stems for the daily high
temperature in Phoenix data from Exercise 8
From the given stem-and-leaf plot, we have that:
a) 80.65% of days in this month were hotter than 100 ºF.
b) The shape of the distribution is negatively skewed.
c) The value of 84, with key 8|4, appears to be an outlier in this data-set.
What is a stem-and-leaf plot?The stem-and-leaf plot lists all the measures in a data-set, with the first number as the key, for example:
4|5 = 45.
From the plot in this problem, the 31 observations are given as follows:
84, 93, 97, 99, 100, 101, 101, 102, 102, 103, 104, 104, 104, 105, 105, 106, 106, 106, 107, 107, 108, 108, 109, 109, 109, 110, 111, 111, 113, 115.
For item a, we have that of the 31 observations, 25 were hotter than 100 ºF, hence:
25/31 = 80.65%.
80.65% of days in this month were hotter than 100 ºF.
For item b, using a calculator, we have that:
The mean is of 104.6.The median is of 105.5.Since the mean is less than the median, the shape of the distribution is negatively skewed.
For item c, we have that:
The first quartile is of Q1 = 102.The third quartile is of Q3 = 109.The interquartile range is of IQR = Q3 - Q1 = 109 - 102 = 7.Outliers are values that are more than 1.5IQR from the quartiles, hence:
102 - 1.5 x 7 = 91.5.109 + 1.5 x 7 = 119.5.84 < 91.5, hence the value of 84, with key 8|4, appears to be an outlier in this data-set.
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Choose the numbers that are equivalent to three and two ninths. twenty-nine ninths, 3.2 repeating where the 2 is repeating, 322.2 repeating percent where the 2 is repeating twenty-nine ninths, 3.29, 329% six ninths, 3.2 repeating where the 2 is repeating, 322.2% six ninths, 3.29, 329%
Answer: D
Step-by-step explanation:
i did the test
A company is making building blocks. Each building block is a cube and has volume 64/ 125 cubed . How long is each side of the building blocks?
The length (in feet) of each side of the cube block is 1(one) ft.
What is a cube?
A cube is a three-dimensional solid object in the figure that's girdled by six square faces, angles, or sides, three of which meet at each vertex.One of the five Platonic solids, the cube is the only regular hexahedron. It contains 8 vertices, 6 faces, and 12 edges. The cube is also a right rhombohedron, a 3- zonohedron, a square parallelepiped, and an equilateral cuboid. In three exposures, it's a normal square prism, and in four, it's a trigonal trapezohedron.Volume of cube is given by,
V = [tex]L^3\ (length^3)[/tex]
[tex](1 ft)^3 = L^3[/tex]
L = 1ft.
Thus,
The length(in feet) of each side of the block is 1(one) ft.
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3.
A Dutch company built a submarine that can hold 10 passengers and 1
pilot. The submarine has a safety feature that will automatically raise the
submarine if it goes below the certified depth of -650 feet. To show this
feature to a buyer the submarine dove to a depth of -872 feet. The
automatic feature then raised the submarine 50 feet per minute.
5
12
5
How much time, in minutes, does it take for the submarine to reach the
certified depth? Round your answer to the nearest tenth of a minute.
Show your steps for partial credit.
12
A. 4.4 minutes
B. 12.8 minutes
C. 30.1 minutes
D. 50.6 minutes
2
Answer:
I believe the answer is C
Step-by-step explanation:
I think this because I gathered the info of -650, -872, and 50
In a survey of 1094 adults, 83% responded "yes" to the survey question.
How many adults answered "yes"? (round to the nearest whole person as needed)
Answer:
Pretty sure its 909. 83 percent of 1093 is 908.02. If you round it to the nearest person, it is 909
Step-by-step explanation:
answer this question
The equation of the function g(x) is g(x) = -2|x - 2| + 5
How to determine the equation of the function g(x)?The function f(x) is given as
f(x) = 2|x - 2| - 5
The rule of the transformation is a reflection across the x-axis
This is represented as
g(x) = -f(x)
So, we have
-f(x) = -2|x - 2| + 5
Substitute g(x) = -f(x) in -f(x) = -2|x - 2| + 5
g(x) = -2|x - 2| + 5
Hence, the equation of the function g(x) is g(x) = -2|x - 2| + 5
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four friends attend the cinema and buy tickets using this offer. buy 3 tickets and get a ticket free they each play £6.30.
how much does a ticket cost?
In linear equation, £ 8.4 much does a ticket cost.
What are a definition and an example of a linear equation?
A linear equation with one variable is one that contains just one variable. It has the formula Ax + B = 0, with A and B being any two real numbers and x being an ambiguous variable with only one possible value. One such linear equation in one variable is 9x + 78 = 18.They each pay £ 6.30
the total they pay is
6.3 × 4 = £ 25.2
buy three tickets and get a free ticket
3 tickets is £ 25.2
25.2/3 = £ 8.4
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round the following numbers to the nearest ten thousands: 1. 57,342 2. 76,564 3. 95,634 4. 85,756 5. 63,526
Answer:
1. 60,000
2. 80,000
3. 100,000
4. 90,000
5. 60,000
Step-by-step explanation:
Remember if the thousands digit is 5 or greater, round up, if the thousands digit is 4 or less, round down.
57342 (up) 76564 (up) 95634 (up) 85756 (up) 63526 (down)
Solve for x: −1 < x + 3 < 5 2 < x < 8 −4 < x < 2 2 > x > 8 −4 > x > 2
WILL MARK BRAINLIEST
The solution to the inequality where the inequality expression is given as: -1 < x + 3 < 5 is -4 < x < 2
How to determine the solution to the inequality?The inequality expression is given as:
-1 < x + 3 < 5
Subtract 3 from all parts of the inequality expression
So, we have:
-3 -1 < x + 3 -3 < 5 - 3
Evaluate the difference and sum
So, we have:
-4 < x < 2
Hence, the solution to the inequality where the inequality expression is given as: -1 < x + 3 < 5 is -4 < x < 2
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Write an explicit formula for this geometric sequence: 1, 5, 25, 125, 625
Answer:
[tex]a_{n}[/tex] = 1 [tex](5)^{n-1}[/tex]
Step-by-step explanation:
the explicit formula for a geometric sequence is
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
here a₁ = 1 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{5}{1}[/tex] = 5 , then
[tex]a_{n}[/tex] = 1 [tex](5)^{n-1}[/tex]
crude oil has sold at $21.75 a barrel. a barrel has a volume of 42 gallons. what is the price of crude oil in ¢ /cup? (one gallon
The price of crude oil in 3.24 ¢ /cup.
What is conversion factor?A conversion factor is a number that is used to multiply or divide one set of units into another.
When converting to an equal value, the suitable conversion factor must be used. To convert inches to feet, for example, the suitable converting value is 12 inches equal 1 foot.A conversion factor is a ratio (and any fraction) that depicts the connection between two distinct units.Some conversion factors are-
One gallon = 4 quarts;
4 cups = 1 quart
( ¢ =cents)
Now, as per the given question;
The crude oil was sold at $21.75 per barrel.
The volume of the barrel is 42 gallons.
Let 'P' be the total price of crude oil in ¢ /cup.
To determine the price in cents per cup, we must use the conversion factors:
Price P = ($21.75/1 barrel)×(100 ¢/$ 1.00)×(1 barrel/42 gallons)×1 gallon/ 4 quarts)×(1 quartz/ 4 cups).
Simplify the above equation;
Price per cup P = 3.24 ¢ /cup.
Therefore, the price of crude oil is 3.24 ¢ /cup.
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What is the answer to this-
Answer:
n = -0.4, or n = -2/5.
Step-by-step explanation:
They are the same btw.
8 256m to km shortcut method and 25 000 mm to hm and 864 dm to dam and
what is the conclusion of the following conditional? A number divisible by two is the number is even
The conditional operator creates a compound statement that sets up a condition for something to be true. Therefore, if the condition is met, the statement is true. The parts of the conditional statements are two, the first simple statement in a conditional is called the antecedent and the second simple statement is called the consequent. So, for two statements A (antecedent) and B (consequent) we will have that:
A → B that means: If A then B
In this problem:
A: A number is even.
B: The number is divisible by 2.
Thus:
A → B: If a number is even, then the number is divisible by 2.
So, the conclusion of this conditional statement is the consequent, that is, the number is divisible by 2.
Accordingly, the right answer is D. The number is divisible by 2.
the complete question is
What is the conclusion of the following conditional? A number is divisible by 2 if even.
A. The sum of the digits of the number is divisible by 2.
B. If a number is even, then the number is divisible by 2.
C. The number is even.
D. The number is divisible by 2.
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A is between c and t. if ct = 25 and at = 18, what is the length of segment ca?
The length of the segment CA is 7.
Length of the segment
Basically, length of the line segment is fixed, which is the distance between two fixed points.
The length here can be measured by metric units such as centimeters (cm), millimeters (mm) or by conventional units like feet or inches.
Given,
A is lies between C and T.
Then the values of CT = 25 and AT = 18.
Now we have to find the length of the segment CA.
Consider the point C, A and T are in straight line.
Then A lies between C and T.
So, it is the center point between C and T.
Here we have the length of total line that is
=> CT = 25.
And the length of AT, that is
=> AT = 18.
Then we need to find the length of the segment CA,
By subtracting the length of AT from the total length CT,
That is,
=> CA = CT - AT
Apply the values,
=> CA = 25 - 18
=> CA = 7.
Therefore, the length of the segment CA is 7.
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A high school has 36 players on the football team. the summary of the players' weights is given in the box plot. what is the interquartile range of the players' weights?
The interquartile range of the players' weights = 48 pounds.
The boxplot attached to this question is missing. It was obtained online and is attached to this solution of the question.
It should be noted that the following is true for a boxplot.
A box plot gives a visual representation of the distribution of the data, showing where most values lie and those values that greatly differ from the rest, called outliers.
The elements of the box plot are described thus;
The bottom side of the box represents the first quartile, and the top side, the third quartile. Therefore, the width of the central box represents the inter-quartile range.
The horizontal line inside the box is the median.
The lines extending from the box reach out to the minimum and the maximum values in the data set, as long as these values are not outliers. The ends of the whiskers are marked by two shorter horizontal lines.
Variables in the dataset, higher than Q3+(1.5×IQR) or lower than Q1-(1.5×IQR) are considered outliers and are usually shown using dots above the top whisker or below the bottom whisker.
So, it is evident that for this question,
First quartile = 174 pounds
Third quartile = 222 pounds
Inter Quartile Range = (Third quartile) - (First quartile)
= 222 - 174
= 48 pounds.
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Graph y=0.2x use the graph to find the value of x when y=-2,0,2
By graphing the equation y = 0.2x, we find that x is equal to -10 when y is -2, x is equal to 0 when y is 0, and x is equal to 10 when y is 2.
To graph the equation y = 0.2x, we can plot a few points and then connect them to create the line.
Let's calculate the corresponding values of x when y takes on the values of -2, 0, and 2:
When y = -2:
-2 = 0.2x
x = -2 / 0.2
x = -10
When y = 0:
0 = 0.2x
x = 0 / 0.2
x = 0
When y = 2:
2 = 0.2x
x = 2 / 0.2
x = 10
Using these values, we can plot the points (-10, -2), (0, 0), and (10, 2) on the coordinate plane. Drawing a line passing through these points, we obtain the graph of the equation y = 0.2x.
The graph will be a straight line that passes through the points (-10, -2), (0, 0), and (10, 2). The line will have a positive slope, indicating that as x increases, y increases at a slower rate.
The graph visually represents the relationship between x and y according to the equation y = 0.2x. It shows that for every increase of 1 unit in x, y increases by 0.2 units.
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Solve the system 2x + y = 5, x + 3y = 0 by graphing.
Answer:
Step-by-step explanation:
1/2 % to simplified fraction
=50
Step-by-step explanation:
=1/2×100
=1×50
=50
Points on the coordinate plane
Point N is graphed on the coordinate plane.
-5-2
is
OF
Write the coordinates of point N.
If we reflect the point (-5,2) (five, -two) over the x-axis (line of symmetry) the reflected point is (-5,-2). If we reflect the point (-5,2) (five, - two) over the y-axis (line of symmetry) the reflected point is (5,2).
What are the x-axis, and y-axis?
The vertical axis is generally called the x-axis. The perpendicular axis is generally called the y- axis. The point where the x- and y- axis intersect is called the origin. The x-axis is generally the vertical axis, while the y- axis is the perpendicular axis. They're represented by two number lines that cross perpendicularly at the origin, located at( 0, 0). The x-axis is also called the abscissa and the y- axis is called the ordinate.
The point (-5,2) is plotted as red in the picture attached.
To reflect a point over the x(ax)-axis, the x(ax) value must be the same and the y value must be the opposite.
To reflect a point over the x(ax)-axis, the y(y) value must be the same and the x(ax) value must be the opposite.
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Brian rolls a fair dice 12 times.
How many times would Brian expect to roll a number greater than 4?
Answer:
I times the 12 by 5 and divided by 2 and subtract by 12
I get 18 and I thought it is 18
Answer:
Step-by-step explanation:
If a fair dice is rolled 6 times, 2/6 times the number would be greater than 4
If rolled 12 times, then 4/12 times the number would be greater than 4
4/12 = 1/3
You invested a total of $50,000 in 2 funds earning 6.5% and 9% simple interest. during 1 year, the 2 funds earned a total of $3625 in interest. how much did you invest in each fund? amount at 6.5%
Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. The person has invested $35,000 in the fund returning at a rate of 6.5%.
What is simple interest?Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. It is calculated with the help of the formula,
SI = PRT = (R% of P)T
where SI is the simple interest, P is the principal amount, R is the rate of interest, and T is the time period.
Let the amount invested in the first fund be represented by x, then the amount invested in the second fund will be ($50,000 - x).
Now, if the 2 funds earn 6.5% and 9% simple interest. Also, in the first year, they earned a total of $3625 from the interest. Therefore, we can write the equation to represent the given situation as,
6.5% of x + 9% of ($50,000 - x) = $3625
0.065x + 0.09(50,000 - x) = 3625
0.065x + 4,500 - 0.09x = 3,625
0.065x - 0.09x = 3625 - 4500
0.025 = 875
x = 875/0.025
x = 35,000
Therefore, the person has invested $35,000 in the fund returning at a rate of 6.5%.
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