Answer:
Multiply 7 by 3.
Step-by-step explanation:
In PEMDAS, parenthesis, exponents, multiply, divide, addition, subtratcion, you start with parenthesis first. Then you look inside the parenthesis, and ythere is no division problems. So you do the multiplication inside the parenthesis.
The class mark of the class 90-130 is:
(a) 90 (b) 105 (c) 115 (d) 110
Answer:
D) 110
Step-by-step explanation:
The circle graphs shows the percentages of student participation in sports a certain school.
E
F
Other
11%
Track &
Field
14%
Baseball
15%
A
Football
22%
Basketball
17%
m EF =
Find m EF. Do not round.
Soccer
21%
C
B
From the given below solution the value of m EF is 25%.
What is circle graphs?A circle graph, also known as a pie chart, is a type of data visualization that displays data as a circular graph, divided into sectors that represent numerical proportions.
Each sector of the circle represents a percentage or proportion of the total data set, and the size of each sector is proportional to its corresponding value.
To find m EF, we need to add the percentages of participation in sports E and F:
m EF = percentage of participation in sports E + percentage of participation in sports F
m EF = 11% + 14%
m EF = 25%
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Ayaan drank 11/4 bottles of water during a soccer game.what is this fraction as a mixed numeral
Ayaan drank 11/4 bottles of water during the soccer game, which can be expressed as a mixed numeral 2 and 3/4.
To convert the fraction 11/4 to a mixed numeral, we need to determine the whole number part and the fractional part.
Divide the numerator (11) by the denominator (4).
11 ÷ 4 = 2 remainder 3
The quotient 2 represents the whole number part, and the remainder 3 represents the fractional part.
Write the mixed numeral using the whole number part and the fractional part.
The mixed numeral for 11/4 is:
2 and 3/4
Therefore, Ayaan drank 11/4 bottles of water during the soccer game, which can be expressed as a mixed numeral 2 and 3/4.
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these fractions are in order from least to greatest
8/7, 1 2/5, x, 1 2/3, 2
which value of x would keep the list in order from least to greatest
a. 1 1/6
b. 8/5
c. 1 7/10
d. 7/3
Answer:
B
Step-by-step explanation:
i took da test
The value of x is 1.6 or 8/5 which makes the order 8/7, 1 2/5, x, 1 2/3, and 2 from least to greatest option (B) 8/5 is correct.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
We have:
These fractions are in order from least to greatest:
8/7, 1 2/5, x, 1 2/3, 2
As we know the number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, 1/2, 4/5, 3/7, etc are the numbers.
The fractions number are: 8/7, 1 2/5, x, 1 2/3, 2
The fraction can be written as a decimal:
8/7, 7/5, x, 5/3, 2
or
1.14, 1.4, x, 1.66, 2,
x will be 8/5 = 1.6
Thus, the value of x is 1.6 or 8/5 which makes the order 8/7, 1 2/5, x, 1 2/3, and 2 from least to greatest option (B) 8/5 is correct.
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particle travels from(-1/3 ,1, -2) to(9,9,6) . Its motion is described by the position function r(t)=(t^3/3, t^2,2t).
a) Find the distance the particle travels along the path, its average speed, and its
displacement [the distance it could have traveled if in a straight line].
b) List a detailed snapshot of the T,N,B frame for this particle at the halfway point (by
time) including curvature and torsion.
The particle travels approximately 45.63 units along the path. The displacement is the straight-line distance between the initial and final positions of the particle is 2781.
To find the distance the particle travels along the path, we can integrate the speed over the interval of time. The speed of the particle is given by the magnitude of its velocity vector.
The velocity vector is the derivative of the position function r(t):
\(v(t) = (d/dt)(t^3/3, t^2, 2t)\)
\(= (t^2, 2t, 2)\)
The speed of the particle at any given time t is:
|v(t)| = √((t^2)^2 + (2t)^2 + 2^2)
= √(t^4 + 4t^2 + 4)
= √((t^2 + 2)^2)
To find the distance traveled along the path, we integrate the speed function over the given interval of time. The particle travels from t = -1/3 to t = 9.
distance = ∫[from -1/3 to 9] |v(t)| dt
= ∫[from -1/3 to 9] |t^2 + 2| dt
= ∫[from -1/3 to 0] -(t^2 + 2) dt + ∫[from 0 to 9] (t^2 + 2) dt
= [-1/3 * t^3 - 2t] (from -1/3 to 0) + [1/3 * t^3 + 2t] (from 0 to 9)
Evaluating the definite integrals:
distance = [-1/3 * 0^3 - 2 * 0 - (-1/3 * (-1/3)^3 - 2 * (-1/3))] + [1/3 * 9^3 + 2 * 9 - (1/3 * 0^3 + 2 * 0)]
= [0 - (1/3 * (-1/27) + 2/3)] + [1/3 * 729 + 18]
= [1/27 + 2/3] + [729/3 + 18]
= 1/27 + 2/3 + 729/3 + 18
= 1/27 + 18/27 + 729/3 + 18
= (1 + 18 + 729)/27 + 18
= 748/27 + 18
= 27.63 + 18
= 45.63 units (approximately)
Therefore, the particle travels approximately 45.63 units along the path.
To find the average speed, we divide the distance traveled by the time taken. The time taken is 9 - (-1/3) = 9 1/3 = 28/3.
average speed = distance / time
= 45.63 / (28/3)
= 45.63 * (3/28)
= 4.9179 units per unit time (approximately)
The displacement is the straight-line distance between the initial and final positions of the particle.
displacement = |r(9) - r(-1/3)|
= |(9^3/3, 9^2, 2 * 9) - ((-1/3)^3/3, (-1/3)^2, 2 * (-1/3))|
= |(27, 81, 18) - (-1/27, 1/9, -2/3)|
= |(27 + 1/27, 81
= 2781.
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What is the value of p?
Answer:
A. 35°Step-by-step explanation:
see attached
write an equation of the line that passes through the given point is a parallel and B perpendicular to the given line (4,3)
Answer:
I need more information to solve
Step-by-step explanation:
Ratio. Proportion and many method d) 15 workers were employed to complete a piece of work in 36 days. How many more workers should be added to complete the work in 30 days?
Answer:
Step-by-step explanation:
total of 15(36) = 540 person•hours was used
540 / 30 = 18 people
18 - 15 = 3 people need to be added
Simplify: 2.4 × 10-4
The four is a exponent
Answer: 20
Step-by-step explanation:
Multiply 2.4*10-4
Calculate 24-4
the answer is (12x^10000)/5
At the We-Pack Shipping, the workers can unload 28 trucks in 7 hours. Which of the following is a correct unit rate for this situation?
1 truck per hour
4 hours per truck
1 over 4. of a truck per hour
1 over 4. of an hour per truck
Answer:
4 trucks per hour
Step-by-step explanation:
You would do the trucks over the hours to get the ratio so, 28:7 is equal to 4:1 because 28/7 = 4
At noon, the minute and the hour hands of a clock overlap. In how long will they again overlap?
its one hour but I don't know the minutes
Its not 5 min
Answer:
Okay. At noon, the hour and minute hand overlap. First, let’s calculate the speed of the hands.
The minute hand rotates once around the clock every hour. It goes 360 degrees in 60 minutes, so it rotates 360/60 or 6 degrees per minute. The hour hand goes once around the clock every 12 hours. Because there are 60 minutes in an hour, it goes 360 degrees 12*60 or 720 minutes. This means it travels at a speed of 360/720 or 0.5 degrees per minute.
Once the clock starts, the minute hand goes ahead and rotates ahead of the hour hand. At 1:00, the minute hand is at 12, and the hour hand is ahead at 1. This is where we will start our calculations.
Now, we have a variable, m, which is the minutes that have passed since the clock started. So, our minute hand speed is 6m, and our hour hand speed is 0.5m. However, because the hour hand is at one, it is at 30 degrees. (360/12 * 1.) This means our equation is 6m = 0.5m+30.
Now, we calculate.
6m = 0.5m+30
5.5m = 30
m = 30/5.5
m = 5.45
So at 5.45 minutes, the minute hand is at the hour hand. However, because one hour has passed since we started, we have to add on one hour.
So, our final total is 1 hour 5 minutes and 27 seconds.
Step-by-step explanation:
plz help quickly........................................
Answer:
the median is increased from 7 to 7.5
Question 6 of 10
What is the solution to the system of equations graphed below?
y = -2x + 4
y=x-5
Answer:
the solution to the system of equations is (x, y) = (3, -2).
Step-by-step explanation:
y = -2x + 4 (Equation 1)
y = x - 5 (Equation 2)
To solve for x, we can equate the right sides of the equations:
-2x + 4 = x - 5
Now, we can solve for x:
-2x - x = -5 - 4
-3x = -9
x = (-9) / (-3)
x = 3
Substituting the value of x back into Equation 2, we can solve for y:
y = 3 - 5
y = -2
The temperature in a hotel is 21 °C.
The temperature in the hotel is 26,7°C warmer than at the top of the mountain.
The temperature at the top of the mountain is 3.2°C colder than at the bottom of the mountain.
Work out the temperature at the bottom of the mountain.
The temperature at the bottom of the mountain is 50.9 °C.
Let's work through the given information step by step to find the temperature at the bottom of the mountain.
The temperature in the hotel is 21 °C.
The temperature in the hotel is 26.7 °C warmer than at the top of the mountain.
Let's denote the temperature at the top of the mountain as T_top.
So, the temperature in the hotel can be expressed as T_top + 26.7 °C.
The temperature at the top of the mountain is 3.2 °C colder than at the bottom of the mountain.
Let's denote the temperature at the bottom of the mountain as T_bottom.
So, the temperature at the top of the mountain can be expressed as T_bottom - 3.2 °C.
Now, let's combine the information we have:
T_top + 26.7 °C = T_bottom - 3.2 °C
To find the temperature at the bottom of the mountain (T_bottom), we need to isolate it on one side of the equation. Let's do the calculations:
T_bottom = T_top + 26.7 °C + 3.2 °C
T_bottom = T_top + 29.9 °C
Since we know that the temperature in the hotel is 21 °C, we can substitute T_top with 21 °C:
T_bottom = 21 °C + 29.9 °C
T_bottom = 50.9 °C
Therefore, the temperature at the bottom of the mountain is 50.9 °C.
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determine the base funciton f(x)=2(4)^x+5 NEED ASAP
The base of the function given 2(4)ˣ+5 is 4ˣ
What is the base of a function?The base of an exponential function. If f(x) = ax, then we call a the base of the exponential function. The base must always be positive. Base 1. If f(x) is an exponential function whose base equals 1 – that is if f(x)=1x.
Given is a function, 2(4)ˣ+5, we need to find the base of the function,
With the multiplication of 4ˣ with 2, the rate at which f(x) changes is 2 times larger. Now it is added by 5, by adding 5 the value of f(x) is always 5 greater than the value of f(x).
This reverses the value of y for each corresponding value of x and increases the rate at which f(x) changes 8 times that of the original function.
Hence, the base of the function given 2(4)ˣ+5 is 4ˣ
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Write an equation for a line that passes through the points (0,-4) and (1,3)
The graph of a line passes through the points (0, -4) and (1, 3), the equation of the line is y = 7x - 4
How to find the equation of a lineThe line is the distance between two points. The equation of a line in slope-intercept form is y = mx + b
m is the slopeb is the y-interceptFind the slopeSlope = 7/1
Slope = 7
Determine the y-intercept
Since the y-intercept is the point where the line cross the y-axis, hence b = -4.
FInd the required equation
y = 7x - 4
Hence if the graph of a line passes through the points (0, -4) and (1, 3), the equation of the line is y = 7x - 4
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How do I this sorry for it looking so weird
The inequality that models this situation is:
l + b ≥ 12
How to write the inequality?Here we know that Sophie has two jobs, and she must work no less than 12 hours a week.
Then the inequality is of the form:
total number of hours ≥ 12 hours.
Now, we can define the variables:
b = number of hours babysitting.
l = number of hours lifeguarding.
Then the total number of hours that she works is l + b
Then the inequality is:
l + b ≥ 12
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Find the square (8m-7)^2
Answer:
64m^2 - 112m + 49
Step-by-step explanation:
You just do the math lol.
Answer:
64m^2 + 112m + 49
Step-by-step explanation:
I got it right in Grandpoint.
Kyra is blocking off several rooms in a hotel for guests coming to her wedding. The hotel can reserve large rooms that can hold 8 people, and small rooms that can hold 6 people. Kyra reserved twice as many large rooms as small rooms, which altogether can accommodate 88 guests. Determine the number of small rooms reserved and the number of large rooms reserved.
The number of small rooms reserved is 4.
The number of large rooms reserved is 8.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
We have,
Small rooms are denoted as S.
Large rooms are denoted as L.
Now,
We will make two equations.
L = 2S _____(1)
8L + 6S = 88 ______(2)
Putting (1) in (2) we get,
8L + 6S = 88
8 x (2S) + 6S = 88
16S + 6S = 88
22S = 88
S = 88/22
S = 8/2
S = 4
Now,
Putting S = 4 in (1) we get,
L = 2 x 4
L = 8
Thus,
The number of small rooms and large rooms reserved is 4 and 8.
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answer this whats 12*12
Answer:
144
Step-by-step explanation:
Answer:
12*12
Is 12 x 12
And 12 x 12 = 144
You are welcome :)
the point (2, -3 ) is reflected in the line x = 0 find the image
Answer:
The image of \(P(x,y) = (2,-3)\) is \(P'(x,y) = (-2, -3)\).
Step-by-step explanation:
According to this statement, we need to find the image of a given point by reflection with respect to the y-axis. The reflection can be done by following operation:
\(P(x,y) = (x, y) \to P'(x,y) = (-x, y)\) (1)
Where:
\(P(x,y)\) - Original point.
\(P'(x,y)\) - Reflected point.
If we know that \(x = 2\) and \(y = -3\), then the reflecting point is:
\(P'(x,y) = (-2, -3)\)
The image of \(P(x,y) = (2,-3)\) is \(P'(x,y) = (-2, -3)\).
Can I please get some help I’ve been stuck on this question for a while!
Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes
How many minutes of the ride are spent higher than 28 meters above the ground?The radius of the Ferris wheel is 30 / 2 = 15 meters.
The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.
The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.
The angle between these two positions is 180 degrees.
The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.
Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.
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Solve the system of equations. Show your work/explain how you found your answer.
2x - 4y = 10
x + 5y = 40
Answer:
X = 15 Y=5
Step-by-step explanation:
Line up the common terms (ex: x under x, y under y)Try to find a common term for one variable so you can cancel it out.in this case, it's easier to cancel out the x terms.multiply the 2nd equation by -2. You should get -2 -20 = -80.eliminate the x terms and subtract negative 10 from 4y and subtract 80 from 10.you should be left with -14y = -70isolate the y and you will get y equals 5.Now that we know what y equals, plug that value into any one of the two equations.
Ex: 2x -4(5) =10
2x -20 = 10
2x =30
x =15
Hope this helped !
in an examination 45% students passed in science only 25% passed in english only and 5% students failed in both subjects if 200 students passed in english find the total number of students by using venn diagram
Step-by-step explanation:
\(\huge\mathfrak\pink{Answer}\)
Total number of students= y
(25/100) xy= 200
25 xy = 200 x 100
25y 20000
y = 20000/25
y 800
total number of students = 800
Step-by-step explanation:
\(\mathfrak\pink{Answer}\)
Total number of students= y
(25/100) xy= 200
25 xy = 200 x 100
25y 20000
y = 20000/25
y 800
total number of students = 800
In the decimal 3.0874, what numeral is in the thousandths place?
Answer:
7
Step-by-step explanation:
The first place is the tenths, followed by the hundreths, then the thousandths
The 7 is the 3rd number
Answer:
The 7
Step-by-step explanation:
Because when you want to figure out the number placings behind the decimal so it goes .0 is the tenths then .00 is the hundreths place then .000 is the thousandths place and so for and so on so there you go.
Solve for x: 4(x + 2) = 3(x − 2)
Answer:
\(\huge\boxed{\sf x = -14}\)
Step-by-step explanation:
Given equation:4(x + 2) = 3(x - 2)
Distribute4x + 8 = 3x - 6
Subtract 3x from both sides4x - 3x + 8 = -6
x + 8 = -6
Subtract 8 from both sidesx = -6 - 8
x = -14\(\rule[225]{225}{2}\)
Out of 20 people how many would you expect to say that they like all seasons
Answer:
None
Step-by-step explanation:
Truly, I'm not sure what type of problem this is, but most people don't favor all the seasons. If there is more to the problem, I would be glad to help further.
Answer:
One possible way to estimate how many people out of 20 would say that they like all seasons is to use a simple random sample. A simple random sample is a subset of a population that is selected in such a way that every member of the population has an equal chance of being included. For example, one could use a random number generator to assign a number from 1 to 20 to each person in the population, and then select the first 20 numbers that appear. The sample would then consist of the people who have those numbers.
Using a simple random sample, one could ask each person in the sample whether they like all seasons or not, and then calculate the proportion of positive responses. This proportion is an estimate of the true proportion of people in the population who like all seasons. However, this estimate is not exact, and it may vary depending on the sample that is selected. To measure the uncertainty of the estimate, one could use a confidence interval. A confidence interval is a range of values that is likely to contain the true proportion with a certain level of confidence. For example, a 95% confidence interval means that if the sampling procedure was repeated many times, 95% of the intervals would contain the true proportion.
One way to construct a confidence interval for a proportion is to use the formula:
p ± z * sqrt(p * (1 - p) / n)
where p is the sample proportion, z is a critical value that depends on the level of confidence, and n is the sample size. For a 95% confidence interval, z is approximately 1.96. For example, if out of 20 people in the sample, 12 said that they like all seasons, then the sample proportion is 0.6, and the confidence interval is:
0.6 ± 1.96 * sqrt(0.6 * (1 - 0.6) / 20)
which simplifies to:
0.6 ± 0.22
or:
(0.38, 0.82)
This means that we are 95% confident that the true proportion of people who like all seasons in the population is between 0.38 and 0.82. Therefore, based on this sample and this confidence interval, we would expect between 8 and 16 people out of 20 to say that they like all seasons in the population.
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find the surface area and lateral surface area of the cylinder : radius: 3yd height 6yd
Answer:
Step-by-step explanation:
lateral area=πr²h=π×3²×6=54π sq. yards
surface area=2πr²+πr²h=2π×3²+54π=18π+54π=72π sq. yards
How many days are there in 12 weeks? Use the following information to convert this time to days. 1 week = 7 days
Answer:
84days
Step-by-step explanation:
1 week = 7days =>12 weeks = 12×7 = 84days
Answer:
84 days are in 12 weeks
Step-by-step explanation:
1 week = 7 days
4 weeks = 28 days
So 28 + 28 + 28 = 84 days
There are 140 students in the seventh grade, and 5% are in the Environmental Club.
How many students are in the Environmental Club?
Answer:
7 students.
Step-by-step explanation:
A trick for this is to find 10% of the students in the Environmental Club and then divide by 2.
10% of 140 is simple; just remove the 0 and you got 14.
Next, divide 14/2 to get 5%
14/2 = 7
7 students are apart of the Environmental Club