The work of 5/6 more than 360 is equal to 660.
To calculate what 5/6 is out of 360, you can use the following steps:
Divide 360 by 6 (the denominator of the fraction) to determine the value of 1/6.
360 / 6 = 60 Multiply the value of 1/6 by the numerator (5) to find the value of 5/6.
60 * 5 = 300
Step 1: Calculate 5/6 of 360.
To find 5/6 of a number, you multiply that number by the fraction 5/6. In this case, we want to find 5/6 of 360. To do that, we multiply 360 by 5/6:
(5/6) * 360 = (5 * 360) / 6 = 1800 / 6 = 300
So, 5/6 of 360 is equal to 300.
Step 2: Add the result to 360.
To find 5/6 more than 360, we take the result from Step 1, which is 300, and add it to 360:
300 + 360 = 660
Therefore, 5/6 more than 360 is equal to 660.
In summary, by calculating 5/6 of 360, we found that it is 300. Adding 300 to 360 gives us the final result of 660, which represents 5/6 more than 360.
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Triangle ABC is translated by the rule (x, y) → (x - 1, y + 6) then reflected across the y- axis. What are the coordinates of A”,B”, and C”?
The coordinates of A'', B'' and C'' are (-1, 4), (-4, 3) and (-1, 2) respectively.
What is Geometric Transformation?Transformation of geometrical figures or points is the manipulation of a given figure to some other way.
Different types of transformations are Rotation, Reflection, Glide reflection, Translation and Dilation.
Given triangle has coordinates,
A(2, -2), B(5, -3) and C(2, -4).
First the triangle is translated by the rule (x, y) → (x - 1, y + 6)
A(2, -2) becomes A'(2 - 1, -2 + 6) = A'(1, 4).
B(5, -3) becomes B'(5 - 1, -3 + 6) = B'(4, 3)
C(2, -4) becomes C'(2 - 1, -4 + 6) = C'(1, 2)
Then the translated triangle is reflected across the Y axis.
When reflected a point (x, y) across the Y axis, y coordinate remains same and x coordinate flips.
A'(1, 4) becomes A''(-1, 4)
B'(4, 3) becomes B''(-4, 3)
C'(1, 2) becomes C''(-1, 2)
Hence the vertices of the triangle after undergoes translation and reflection becomes A''(-1, 4), B''(-4, 3) and C''(-1, 2).
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Study the sequences (0, 6, 12, 18, 24, . . .) and (1, 6, 36, 216, 1,296, . . .), and answer these questions:
Which of the two sequences is an arithmetic sequence?
What is the common difference of the arithmetic sequence?
Can you think of any other mathematical relationship that exhibits a common difference between numbers?
Answer:
Step-by-step explanation:
In the first sequence, subtracting the previous term from each term starting from the second one gives these values: (0, 6, 12, 18, 24, . . .) is an arithmetic sequence.
How to find the common difference in the arithmetic sequence?
Common difference = second term - first term
The difference between the terms is constant. This sequence is an arithmetic one, with the common difference being 6.
Common difference = 6.
Just by looking at the terms in the second sequence,
(1, 6, 36, 216, 1,296, . . .), the difference between the consecutive terms is not common. This sequence is not an arithmetic sequence because it is based on the multiply by 6 rule.
Like arithmetic sequences, linear equations show a common difference between numbers.
Answer: In the first sequence, subtracting the previous term from each term starting from the second one gives these values:
6 – 0 = 6, 12 – 6 = 6, 18 – 12 = 6, and 24 – 18 = 6.
The difference of the terms is constant. This sequence is an arithmetic one, with the common difference being 6.
Just by looking at the terms in the second sequence, (1, 6, 36, 216, 1,296, . . .), it’s clear that the difference of the consecutive terms is not common. This sequence is not an arithmetic sequence because it is based on the multiply by 6 rule.
Like arithmetic sequences, linear equations show a common difference between numbers.
Step-by-step explanation: Edmentum Answer
\(\sf 8x+10=3x+20\)
\(▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)
The value of x is ~
\( \boxed{2}\)\( \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}\)
\(8x + 10 = 3x + 20\)\(8x - 3x = 20 - 10\)\(5x = 10\)\(x = 10 \div 5\)\(x = 2\)If the Federal Reserve sells $80,000 in Treasury bonds to a bank at 7%
interest, what is the immediate effect on the money supply?
OA. It is increased by $80,000.
OB. It is decreased by $85,600.
C. It is decreased by $80,000.
D. It is increased by $85,600.
Answer: D
Step by step explanation: the bank with 7% interest can get 7% incrementing (+5600$), because capitalism.
Answer: OB
Step-by-step explanation:
It is decreased by $80,000.
did the test
based on a normal distribution with a mean of 500 and a standard deviation of 150, the z-value for an observation of 200 is closest to:
The z-score for an observation of 200 is approximately -2.000.
Z-Value for Observation 200Here are the steps to calculate the z-score for an observation of 200 based on a normal distribution with a mean of 500 and a standard deviation of 150:
Subtract the mean (μ) from the observation (x):x - μ = 200 - 500 = -300
Divide the result from step 1 by the standard deviation (σ):-300 / 150 = -2
Round to the nearest thousandth to get the final z-score:-2 ≈ -2.000
So, the z-score for an observation of 200 is approximately -2.000.
A z-score is a measure of how many standard deviations a given value is from the mean of a dataset. It is calculated by subtracting the mean of the dataset from a given value and dividing the result by the standard deviation of the dataset.
In the case of a normal distribution with a mean of 500 and a standard deviation of 150, a z-score of -2 would indicate that an observation of 200 is 2 standard deviations below the mean. This information can be used to determine the proportion of data within the dataset that is above or below a certain value, or to make comparisons between different datasets.
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the question is in the pic, I just need the answer
An exponential function is given by the equation:
\(y=ab^x\)For the points (-2, 1) and (1, 1/64)
\(x_1=-2,y_1=1,x_2=1,y_2=\frac{1}{64}\)Substitute x₁, y₁, x₂, and y₂ into the functions to form two equations
\(\begin{gathered} y_1=ab^{x_1} \\ y_2=ab^{x_2} \end{gathered}\)\(\begin{gathered} \text{1 = }ab^{-2}\ldots\ldots(1) \\ \frac{1}{64}=ab^1\ldots\ldots.(2) \end{gathered}\)Divide equation (2) by equation (1)
\(\begin{gathered} \frac{1}{64}=\text{ }\frac{ab^1}{ab^{-2}} \\ \frac{1}{64}=b^3 \\ b\text{ = }\frac{1}{\sqrt[3]{64}} \\ \text{b = }\frac{1}{4} \end{gathered}\)Substitute the value b = 1/4 into the equation (2)
\(\begin{gathered} \frac{1}{64}=a\text{ }\frac{1}{4} \\ \text{a = }\frac{4}{64} \\ \text{a = }\frac{1}{16} \end{gathered}\)\(\begin{gathered} \text{Substituting the values of a and b into g(x) = ab}^x \\ g(x)\text{ = }\frac{1}{16}(\frac{1}{4})^x \\ \text{g(x)= (}\frac{1}{4})^2(\frac{1}{4})^x \\ g(x)\text{ = (}\frac{1}{4})^{x+2} \end{gathered}\)‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️
Stella is recording temperatures every day for 5 days. On the first day, Stella recorded a temperature of 0 °F.
a. On the second day, the temperature was 3 °F above the temperature on the first day.
What was the temperature on the second day?
b. On the third day, it was 4 °F below the temperature of the first day. What was the temperature?
c. The temperature on the fourth day was the opposite of the temperature on the second day. What was the temperature?
d. The temperature on the 5th day was the absolute value of the temperature on the 4th day. What was the temperature?
e. Write the temperatures in order from least to greatest.
f. What is the difference in temperature between the coldest day and the warmest day?
Answer:
a: 3°
b: -4°
c: -3°
d: 3°
e: -4°,-3°,0°,3°,3°
f: 7
The troposphere is the region that starts at Earth's surface and ends between 8_ km and 20_ km above Earth. What is the temperature at the end of your layer that is farthest from the surface?
The temperature at the end of the troposphere varies with latitude as follows:
at the middle latitudes, it is about −55°C. at the equator, it is about −73°C.at the poles (the Arctic and the Antarctic regions), it is about −45°C.The troposphere is the first and lowest layer of the atmosphere of the Earth and makes up the largest percentage by mass (about 75%) of the total atmosphere.
The troposphere contains most of the water vapor in the present in the atmosphere. the water vapor regulates the air temperature by absorbing the solar energy and thermal radiation from the planet's surface.
Water vapor concentrations vary with latitude being highest above the tropics and lowest above the polar regions.
At the middle latitudes, the temperature at the end of the troposphere (the tropopause) is about −55°C.
At the equator, the temperature at the end of the troposphere (the tropopause) is about −73°C.
At the poles (the Arctic and the Antarctic regions), the temperature at the end of the troposphere (the tropopause) is about −45°C.
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Use the number line below to determine which of the following answer choices has statements that are all true.
O Point A represents -4, Point D represents
4
Point A represents -4, Point D represents
and
> -4
Point A represents -4, Point D represents and
○ Point 4 represents 4, Point D represents 12, and 4 >
ad 4 >
12/
<-4
12/12 , and -4 <1/
By using the number line above, the answer choice which has statements that are all true include the following: A. Point A represents -4, Point D represents 1 3/4, and 1 3/4 > -4.
What is a number line?In Mathematics, a number line is a type of graph with a graduated straight line which comprises both positive and negative numbers that are placed at equal intervals along its length.
By critically observing the number line, the first point A would be located at -4 and the open arrow circle should point to the left because it represent the less than inequality symbol.
On the other hand, the last point A would be located at 1 3/4 and the open arrow circle should point to the right because it represent the greater than inequality symbol. Therefore, we have:
Point D > Point A
1 3/4 > -4
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If mzABD = 100° and mZDBC = 30°,
then mZABC = [? ]°
Answer: 130°
Step-by-step explanation:
∠ABD = 100° (given)
∠DBC = 30° (given)
Angle Addition Postulate states: ∠ABD + ∠DBC = ∠ABC
100° + 30° = ∠ABC
130° = ∠ABC
Answer:
130°
Step-by-step explanation:
Given: m<ABD=100° and m<DBC=30°
To find m<ABC, we must add up the two other angles.
100°+30°=130°
Hope this helped :D
Is this correct?????????
Answer:
yup its right
Step-by-step explanation:
Marcus can choose between a monthly salary of $1,500 plus a 5.5% commission of sales or $2,000 plus a 3% commission of sales. He expects about $8,000 in sales each month. Which salary option should he choose?
Answer:
2,000 plus a 3% commision :))
Step-by-step explanation:
4-2(5x-1)>5x+3 how do I solve this
The longer side of a rectangle is three times the length of shorter side. If the length of the diagonal is 10 cm, find the dimensions of the rectangle.
Answer:
root 10, 3 root 10
Step-by-step explanation:
Let the length of the shorter side be x
Hence,
the length of the longer side= 3x
Length of the diagonal= 10 cm
We know that the sides of the triangle intersect at right angles...
Hence,
By using the pythagoreas property...
\( {x}^{2} + {(3x)}^{2} = {10}^{2} \\ {x}^{2} + 9 {x}^{2} = 100 \\ 10 {x}^{2} = 100 \\ {x}^{2} = 10 \\ x = \sqrt{10} \)
Hence,
length of the shorter side=
\( \sqrt{10} \)
The length of the longer side =
\(3 \sqrt{10} \)
A rectangle has an area of 209 square yards and a height of 19 yards. What is the length of the base?
The length of the base of the rectangle is B = 11 yards
What is the Area of a Rectangle?The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle
Area of Rectangle = Length x Width
Given data ,
Let the area of the rectangle be represented as A
Now , the value of A is
Let the base of the rectangle be represented as B
Area of rectangle A = 209 yards²
The length of the rectangle L = 19 yards
And , Area of Rectangle = Length x Width
Substituting the values in the equation , we get
Area of Rectangle = 19 x B
209 = 19 B
Divide by 19 on both sides of the equation , we get
B = 209 / 19
B = 11 yards
Hence , the length of the base of rectangle is 11 yards
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Olivia rides her scooter 3/4 mile in 1/3 hour. How fast, in miles per hour, does she ride her scooter?
Answer: In 1 hour she goes 2.25 miles because 3/4x3=2.25. So the answer is she goes 2.25 miles per hour
at 2.25 miles per hour She rides her scooter.
What is Speed?speed is described as. the pace at which an object's location changes in any direction. Speed is defined as the distance traveled divided by the travel time. Speed is a scalar quantity because it just has a direction and no magnitude.
Given, Olivia rides her scooter 3/4 mile in 1/3 hour.
Since,
Speed = Distance/time
in our case,
Distance = 3/4 miles
Time = 1/3 hours
Speed = 3/4 /1/3
Speed = 9/4
Speed = 2.25
Therefore, She rides her scooter at 2.25 miles per hour.
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is the integer k divisible by 4 ? (1) 8k is divisible by 16. (2) 9k is divisible by 12.
Yes , the integer k is divisible by 4 and statement (1) alone is sufficient to determine that k is divisible by 4.
Given data ,
Let the equation be represented as A
Now , the value of A is
a)
To determine if the integer k is divisible by 4, let's analyze the given statements:
Statement (1): 8k is divisible by 16.
This means that 8k is a multiple of 16. Since 16 is divisible by 4, we can conclude that k must be divisible by 4 as well. Therefore, statement (1) alone is sufficient to determine that k is divisible by 4.
8k = 16
k = 2
b)
This statement does not provide direct information about the divisibility of k by 4. While 12 is divisible by 4, the fact that 9k is divisible by 12 does not guarantee that k itself is divisible by 4.
9k = 12
k = 12/9
k = 4/3
So , it is not an integer
In conclusion, statement (1) alone is sufficient to determine that k is divisible by 4. Statement (2) is not sufficient on its own.
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Solve for x in the picture below
Answer:
x=19
Step-by-step explanation:
90+7x+3+128+5x+8+111+9x-19=(6-2)180 (angle sum of polygon)
x=19
SOMEONE PLEASE HELP ME THIS IS DUE IN 30 min
Answer:
its 560 meters because you do 10 times 14 which gives you 140 then you multiply 140 by 4 and you get 560
What is the volume of a cylinder, in cubic feet, with a height of 7 feet and a base diameter of 18 feet? Round to the nearest tenths place
The volume of the cylinder with a height of 7 feet and a base diameter of 18 feet is approximately 1780.4 cubic feet.
What is the volume of the cylinder?A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.
The volume of a cylinder is expressed as;
V = π × r² × h
Where r is radius of the circular base, h is height and π is constant pi ( π = 3.14 )
Given that the the cylinder has a height of 7 feet and base diameter is 18 feet, we can find the radius (r) by dividing the diameter by 2:
Radius r = diameter/2
Radius r = 18 feet / 2
Radius r = 9 feet
Plugging the values into the above formula, we get:
V = π × r² × h
V = 3.14 × ( 9 ft )² × 7 ft
V = 3.14 × 81 ft² × 7 ft
V = 1780.4 ft³
Therefore, the volume is approximately 1780.4 ft³.
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Simplify:
3x (x^2 + 5x – 4)
The answer is 3x^3+15x^2-12x.
The height of a rocket a given number of seconds after it is released is modeled by . What does t represent
The complete question is:
The height of a rocket a given number of seconds after it is released is modeled by h(t) = 6t² + 32t + 10. What does t represent?
Answer:
t represents the number of seconds after the rocket is released.
Step-by-step explanation:
We are told that the height of a rocket a given number of seconds after it is released is modeled by the quadratic equation: h(t) = 6t² + 32t + 10
In this quadratic equation, h (height) is the dependent variable which depends on the number of seconds after rocket is released which is the independent variable
Now, since the independent variable in the function is t, then t definitely represents the number of seconds after rocket is released.
Answer:
The answer on edge is A.
Step-by-step explanation:
john and oneal are playing a board game in which they roll two number cubes. John needs to get a sum of 8 on the number cube to win. Oneal needs to geta sum of 11 if they take turns rolling the number cube who is more likley to win?
Since John's probability of winning is greater than Oneal's, John is more likely to win the game.
What is probability?Probability is the branch of mathematics that deals with the study of random events and their outcomes. It is the measure of the likelihood or chance of an event occurring, expressed as a number between 0 and 1, with 0 indicating that the event will not occur and 1 indicating that the event will occur with certainty. The study of probability is important in fields such as statistics, economics, physics, engineering, and many other areas where the analysis of uncertain events is required.
Here,
There are a total of 36 possible outcomes when rolling two number cubes, since there are 6 possible outcomes for the first cube and 6 possible outcomes for the second cube.
To find the number of outcomes that result in a sum of 8, we can list them systematically or use a table:
Die 1 Die 2 Sum
2 6 8
3 5 8
4 4 8
5 3 8
6 2 8
There are 5 possible outcomes that result in a sum of 8.
To find the number of outcomes that result in a sum of 11, we can use the same method:
Die 1 Die 2 Sum
5 6 11
6 5 11
There are 2 possible outcomes that result in a sum of 11.
Since John wins if he rolls a sum of 8 and Oneal wins if he rolls a sum of 11, John has a higher probability of winning since there are more outcomes that result in a sum of 8 than in a sum of 11. Specifically, John has a probability of winning of 5/36 (approximately 0.139), while Oneal has a probability of winning of 2/36 (approximately 0.056).
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Bacteria that cause foodborne illness multiply most abundantly between: Question 35 options: 75 and 175 degrees Fahrenheit 40 to 140 degrees Fahrenheit 200 and 300 degrees Fahrenheit 0 and 100 degrees Fahrenheit
The bacteria that cause foodborne illness multiply most abundantly between 40 and 140 degrees Fahrenheit.
Bacteria that cause foodborne illnesses grow and reproduce rapidly at temperatures between 40°F (4.4°C) and 140°F (60°C), which is known as the "Danger Zone." These temperatures allow bacteria to multiply rapidly and increase the risk of foodborne illness.
Therefore, it is important to keep food out of this temperature range as much as possible. Food should be kept below 40°F (4.4°C) or above 140°F (60°C) to reduce the risk of bacterial growth.
Proper cooking, refrigeration, and heating of food can help prevent the growth and spread of harmful bacteria.
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Find the surface Area?
What’s the surface area?
Help please?
Answer:
376 cm^2
Step-by-step explanation:
SA=((8x6) x2) + ((10x8) x2) + ((6x10) x2)
SA=(48x2) + (80x2) + (60x2)
SA=96+160+120
SA=376 cm^2
Find the mean absolute deviation
21,25,30,14,26,22
please help me !!
Answer:
The answer is 4.
Step-by-step explanation:
To find the mean absolute deviation of the data you provided, you need to find the mean first. You add all the points together to get 138. Then you divide that number by how many points there are which there are 6 points so you divide 138 by 6 to get 23. Then you calculate how far away each data point is from the mean using positive distances. These are called absolute deviations. Once you add up all the numbers to get 24, you divided them by how many points there are which is 6 again. You should get 4 in the end.
Hope that helps. =)
let m be the number of five-element subsets that can be chosen from the set of the first 14 natural numbers so that at least two of the five numbers are consecutive. find the remainder when m is divided by 1000.
We have (123) different possibilities. Therefore, we can derive from the multiplication principle that there are 13(123) ways.
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.
An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
The likelihood that an event will occur increases with its probability. A straightforward illustration is tossing a fair (impartial) coin.
The chance of both outcomes ("heads" and "tails") is equal because the coin is fair, "heads" is more likely than "tails," there are no other conceivable outcomes, and the likelihood of either outcome is half .
According to our question-
Let n be the maximum number of subsets of five elements that can be selected from the first 14 natural numbers,
with at least two of the five numbers being consecutive.
I have made a block of two consecutive numbers (like (1,2),(2,3),(13,14) etc.).
Now we can choose this block in 13 ways. Now we have to choose 3 numbers from the rest 12 numbers.
Hence, multiplication principle we come to know that there are 13×(123).
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The linear function y = 1.2x represents Alberto’s speed, y, in meters per minute, when his stride rate is x steps per minute. In the 2008 Olympics, a Jamaican runner named Usain Bolt ran 100 meters in 9.69 seconds. What stride rate would Alberto need in order to match Usain Bolt’s speed in the 100-meter race? 1. 485 steps per minute 2. 516 steps per minute 3. 698 steps per minute 4. 808 steps per minute
To match Usain Bolt's speed, Alberto needs to do 516 steps per minute.
What stride rate would Alberto need in order to match Usain Bolt’s speed?
We know that Usain Bolt's speed is given by:
S = (100m/9.69s) = 10.32 m/s
Notice that the linear function for Alberto's speed is on minutes, so we need to rewrite this speed to meters over minute.
1 min = 60 seg.
S = 10.32 m/s = (10.32*60) m/min = 619.2 m/min
Now we need to solve.
619.2 = y = 1.2x
619.2/1.2 = x = 516
If x = 516, this means that Alberto must do 516 steps per minute.
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What’s the answer for the two empty boxes?
Answer:
5 and 12
Step-by-step explanation:
Answer:
The answer is -7 and 5
Step-by-step explanation:
-7x5= -35
-7+5=-2
JUST NUMBER 4 IS WHAT I NEED HELP ON PLEASE <33
Answer:
quantities are proportionaly = 1.3xStep-by-step explanation:
Given a table of values (x, y) = {(5, 6.5), (7, 9.1), (9, 11.7)}, you want to know (a) if the quantities are proportional, and (b) the equation for the relation.
ProportionA proportion is a relation that can be described by the equation ...
y = kx
where k is the constant of proportionality.
(a)To see if the table describes a proportional relationship, we can compute k for each of the ordered pairs.
k = y/x = 6.5/5 = 9.1/7 = 11.7/9 = 1.3
The value of k is the same for all of the given table values, so ...
the quantities are proportional.
(b)As we saw above, the equation y = kx can be used with the value k = 1.3 for this relationship:
y = 1.3x