Answer:
V = 113.04
Step-by-step explanation:
V=pi r^2 h
V= (3.14)(4)(9)
V=113.04
Volume of the cylinder is 113.14 cubic unit .
What is the formula of volume of a cylinder ?Let, radius of the cylinder = r unit
and height of the cylinder = h unit
∴ Volume of the cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h cubic unit
How to calculate the Volume of given cylinder ?Given, radius of the cylinder (h) = 9 unit
and given base radius (r) = 2 unit
∴ Volume of the given cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h cubic unit
= [tex]\frac{22}{7}[/tex]×[tex]2^{2}[/tex]×9 cubic unit [ ∵[tex]\pi[/tex]=[tex]\frac{22}{7}[/tex]]
= [tex]\frac{792}{7}[/tex] cubic unit
= 113.14 cubic unit
113.14 cubic unit is the volume of the given cylinder .
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The mean of 44, 47, y, 58 and 55 is 52. Find the value of y
Answer:
[tex] y= 56[/tex]
Step-by-step explanation:
[tex] \frac{44 + 47 + y + 58 + 55}{5} = 52[/tex]
[tex] \frac{204 + y}{5} = 52[/tex]
[tex]204 + y = 260[/tex]
[tex]y = 56[/tex]
The value of y is 56.
What is arithmetic mean?Arithmetic mean is often referred to as the mean or arithmetic average. It is calculated by adding all the numbers in a given data set and then dividing it by the total number of items within that set. Mean is the most commonly used measure of central tendency. It represents the average of the given collection of data.
Given here, the observations are 44,47,y,58,55 and the given mean is 52
then we can construct the equation:
44+47+y+58+55 /5 = 52
(y + 204) / 5 = 52
y + 204 =260
y = 56
Hence, The value of y is 56
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NEED ANSWER NOW!!!!!!!!!!
Which two ratios form a proportion?
A)
6/
9
and
3/
1
B)
6/
9
and
1/
3
C)
6/
9
and
2/
3
D)
6/
9
and
3/
2
Jay placed 32 seats in 4 rows for the debate. What is the unit rate of seats per row?
A)
4
B)
6
C)
8
D)
12
First Answer: C.
C is the answer, because when doing cross product with the proportion you get 18 for both answer meaning they are proportional since they both equal the same amount.
Second Answer: C.
The answer is C, because when you divide 32 and 4 you get 8 seats per row.
Circle C has a center at (-2,10) and contains the point P(10,5). Which equation represents circle C?
Answer: D.
Step-by-step explanation:
To solve this problem, you first need to find the distance between the center and the point on the circle. This will give you your radius.
There are 12 units between -2 and 10 on the x-axis.
There are 5 units between 5 and 10 on the y-axis.
To find the distance of the slope, you can treat the distance as the hypotenuse and the distances of the two sides as your variables.
Using the Pythagorean theorem:
12^2 + 5^2 = 13^2. Your radius is 13 units long.
The equation for a circle is shown as the following:
[tex](x - h)^{2} + (y - k)^{2} = r^2[/tex]
Where the center is (h, k), and the radius is r.
When the center is at (-2, 10) and the radius is 13, then the equation is shown here:
[tex](x +2)^2 + (y - 10)^2 = 169[/tex]
Answer: D
Step-by-step explanation:
What is the y- intercept of
y= 3 - 4x
The y-intercept of the equation y=3-4x is the constant term, which is 3. Hence, the line crosses the y-axis at the point (0, 3).
Explanation:The y-intercept of the equation y = 3 - 4x can be found by looking at the constant term in the equation, which is the term without the 'x'. In this case, the constant term is 3. Therefore, the y-intercept of the line is the point (0, 3) where the line crosses the y-axis; that is when x=0, y=3.
In the linear equation \(y = 3 - 4x\), the y-intercept occurs when \(x = 0\). To find the y-intercept, substitute \(x = 0\) into the equation:
\[ y = 3 - 4(0) \]
This simplifies to \(y = 3\). Therefore, the y-intercept is \(y = 3\). In terms of interpretation, the y-intercept represents the point where the graph intersects the y-axis, indicating that when x is zero, the corresponding y-value is 3. So, the y-intercept for this equation is the point (0, 3) on the coordinate plane.
help me examine this stem and leaf plot!
Select each set of events that are independent.
Roll a number cube, then flip a coin
Roll two number cubes
Pick a green candy from bag, eat the candy, then pick a yellow candy from a different bag
Pick a Jack from a deck of cards, don't put it back, then pick a King from the same deck
Pick a blue candy from a bag, eat the candy, then pick a red candy from the same bag
Pick a yellow marble from a bag, don't put it back, pick a green marble from the same bag
which ones are independent?
Answer:
Options A, B and C are all independent events while the rest are all dependent events.
Step-by-step explanation:
Please kindly check the attached files for explanation.
An____solutions is a value that arises from the algebraic method of solving but is NOT a solution of the original
equation.
Answer: an infinity many solutions
Step-by-step explanation:
If a system has infinitely many solutions, then the lines overlap at every point. In other words, they're the same exact line! This means that any point on the line is a solution to the system.
Final answer:
An extraneous solution is a value that arises from the algebraic method of solving but is NOT a solution of the original equation.
Explanation:
An extraneous solution is a value that arises from the algebraic method of solving but is NOT a solution of the original equation. Extraneous solutions can occur when certain algebraic manipulations are performed that introduce additional solutions that are not valid in the context of the problem. For example, if we square both sides of an equation, we may introduce extraneous solutions. These extraneous solutions need to be identified and discarded when solving equations.
a recipe calls for 5 tablespoons of orange juice a can of orange juice is 11 fluid ounces how many tablespoons of juice are in a can
By using the conversion factor that 1 fluid ounce is equal to 2 tablespoons, an 11 fluid ounce can of orange juice contains 22 tablespoons of juice.
Explanation:To find out how many tablespoons of juice are in a can, we will use the given conversion factors. We know that 1 fluid ounce (fl oz) is equivalent to 2 tablespoons (tbsp). The can contains 11 fluid ounces of orange juice.
Multiply the number of fluid ounces in the can by the number of tablespoons per fluid ounce to find the total tablespoons in the can: 11 fl ozTherefore, there are 22 tablespoons of orange juice in a can.
In a science class, Paula made a mixture by adding 2.05 milliliters of
hydrogen peroxide and 6.15 milliliters of water together. Equal amounts of
the whole mixture were poured into 5 empty containers. How much of the
mixture, in milliliters, did she pour into each container?
Answer:
1.64 ml
Step-by-step explanation:
2.05 + 6.15 = 8.2
8.2 / 5 = 1.64
Paula poured 1.64 milliliters of the mixture into each of the 5 containers after combining the volumes of hydrogen peroxide and water to get a total volume of 8.20 milliliters.
Explanation:To find the amount of the mixture Paula poured into each container, we first need to calculate the total volume of the mixture she made by adding the volume of hydrogen peroxide to the volume of water.
The total volume of the mixture is 2.05 milliliters of hydrogen peroxide plus 6.15 milliliters of water, which equals 8.20 milliliters. Since the mixture was evenly distributed into 5 containers, we divide the total volume by the number of containers.
Amount per container = Total volume / Number of containers
Amount per container = 8.20 milliliters / 5 containers
Amount per container = 1.64 milliliters
Therefore, Paula poured 1.64 milliliters of the mixture into each container.
Luke has 4 more than triples the number of model cars that Andrew has. Luke has 31 cars. How many cars does Andrew have? {Write and solve an equation}
Answer:
Andrew has 9 cars
Step-by-step explanation:
Let's start by defining what our unknowns are and how to name them:
For the number of cars Andrew has: let's use the letter A
For the number of cars Luke has: let's use the letter L
Not write the first sentence in mathematical terms:
"Luke has 4 more than triples the number of cars that Andrew has."
L = 3 * A + 4
The second phrase results on a very simple equation since it just states the number of cars that Luke has:
L = 31
Now we can combine these two equations by replacing the variable "L" in the first equation with the second equation and then solve for A:
L = 3 * A + 4
31 = 3 * A +4
31 - 4 = 3 * A
27 = 3 * A
A = 27/3
A = 9
Therefore, Andrew has 9 cars.
An inground swimming pool contains 2.3 times 10 Superscript 4 units of water. Which unit of measure was used?
Answer: gallons
Step-by-step explanation:
Answer:Gallons
Step-by-step explanation:
You got to think of a pool and then relate it to the other measurements
The opening in a rectangular door frame measures 9 feet by 3 feet. Each of the four doors described in the table measures 9
feet by 3 feet, but have different diagonal lengths. Which door will fit in the rectangular opening?
Door 1
Door 2
diagonal: 10 feet
Door 3
diagonal: 3/10 feet
Door 4
diagonal: 6
feet
diagonal: 12 feet
Door 1
Door 2
Door 3
Door 4
Answer:
Door 2
Step-by-step explanation:
b is the answer
Answer:
B
Step-by-step explanation:
door 2
A paint can has a radius of 4 inches and a height of 15 inches. What is the volume of the paint can? Round to the nearest tenth.
Use 3.14 for
cubic inches
Answer:
[tex]V=753.6\ \text{inches}^3[/tex]
Step-by-step explanation:
Given that,
Radius of a paint can, r = 4 inches
Height of a paint can, h = 15 inches
We need to find the volume of the paint can. We know that the shape of a paint can is in the form of cylinder such that the volume of cylinder is given by :
[tex]V=\pi r^2h[/tex]
Substituting all the values we get
[tex]V=3.14\times (4)^2\times 15\\\\V=753.6\ \text{inches}^3[/tex]
So, the volume of the paint can is 753.6 cubic inches.
convert the following decimal into a percentage 0.4973
Find the sum and product of the roots.
3x^2 - 4x-7 = 0
x1,x2(-1, 7/3)
to slove this you need the formula
from equation a=3 b=-4 c=7;
x=(-b±√b²-4ac)/2a
x=(4±√-4²-4×3×7)/2×3
x=(4±√100)/6
x=(4±10)/6
x1=4-10/6 x2=4+10/6
x1=-6/6 x2=14/6
x1=-1 x2=7/3
The sum of roots is 4/3, and the product of roots is -7/3 for the quadratic equation [tex]3x^2[/tex] - 4x - 7 = 0.
To find the sum and product of the roots of the quadratic equation [tex]\(3x^2 - 4x - 7 = 0\)[/tex], we can use Vieta's formulas.
Vieta's formulas state that for a quadratic equation of the form [tex]\(ax^2 + bx + c = 0\),[/tex] the sum of the roots [tex](\(r_1\) and \(r_2\))[/tex] is given by [tex]\(-\frac{b}{a}\),[/tex] and the product of the roots is given by [tex]\(\frac{c}{a}\).[/tex]
In your equation, [tex]\(a = 3\), \(b = -4\), and \(c = -7\).[/tex]
So, the sum of the roots [tex](\(r_1\) and \(r_2\)) is:[/tex]
[tex]\[r_1 + r_2 = -\frac{b}{a} = -\frac{-4}{3} = \frac{4}{3}\][/tex]
And the product of the roots [tex](\(r_1\) and \(r_2\)) is:[/tex]
[tex]\[r_1 \cdot r_2 = \frac{c}{a} = \frac{-7}{3}\][/tex]
So, the sum of the roots is [tex]\(\frac{4}{3}\)[/tex], and the product of the roots is [tex]\(\frac{-7}{3}\).[/tex]
Which of the following is a prime number? 99, 53, 117, 121
Answer:
53
Step-by-step explanation:
99 can be divisible by 9, 11, 3, and 33. 117 can be divisible by 11 (11x11)
and 117 can be divisible by 1, 3, 9, 13, and 39.
Plot V2 and V3 on the number line.
Which statements are true? Check all that apply.
O v2 <2
O v2 < V3
o 12 > 1.5
o 13 <3
o v is about 0.5 less than 13.
O v3 is about 0.3 greater than v2.
Answer:
Step-by-step explanation:
0.........................1.......V2..1.5..V3.....2........................3....................
V2 <2
V2<V3
12>1.5
V3 is about 0.3 greater than V2 (V3 =1,7...and V2=1,4...)
V? is about 0.5 less than 13 ( it is not complete)
Answer:A, B, D and F
Your welcome
Step-by-step explanation:
I just took it
What percent of 105 is 63 (round to the nearest hundredth)
Answer:
60
if you use a calculator then 63÷105×100
Hope this helps!
if it takes 33 pounds of sugar to make a cake what fraction of the cake can be ade with 11 pounds of sugar
Answer:
one third or 1/3
Step-by-step explanation:
Answer: 1/3 of the cake.
Step-by-step explanation: 33 divided by 3 is equal to 11, which makes 11 one third of 33.
Simplify this exponent
10^6
Answer: [tex]10*10*10*10*10*10[/tex]
Since the exponent is 6 we'll write 10×10 6 times.
[tex]10^6=10*10*10*10*10*10[/tex]
[tex]10^6=1000000[/tex]
[tex]10*10*10*10*10*10=1000000[/tex]
hence solve the equation x^3+x^2-6x=0
The solution of the equation x³ + x² - 6x = 0 are x=0, x=2 and x=-3.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is x³ + x² - 6x = 0
x cube plus x square minus six times of x equal to zero.
Take x as common
x(x² + x - 6) = 0
Now factorize the equation within the parenthesis
x(x² + 3x - 2x - 6) = 0
x[x(x + 3) - 2(x + 3)] = 0
x(x - 2)(x + 3) = 0
Now
x = 0
x - 2 = 0 => x = 2
x + 3 = 0 => x = - 3
Hence, the solution of the equation x³ + x² - 6x = 0 are x=0, x=2 and x=-3.
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Final answer:
The equation [tex]x^3 + x^2 - 6x = 0[/tex]is factored into x(x + 3)(x - 2) = 0 to find the roots, which are x = 0, x = -3, and x = 2.
Explanation:
To solve the equation [tex]x^3 + x^2 - 6x = 0[/tex], we first recognize that the equation is not a quadratic, but a cubic equation. However, we can factor out an x, which simplifies the equation to [tex]x(x^2 + x - 6) = 0.[/tex]The cubic term now has been factored into a linear term and a quadratic term. The quadratic equation [tex]x^2 + x - 6[/tex] can be factored further into (x + 3)(x - 2).
The roots of the equation are the values of x that make the equation equal to zero. By setting each factor equal to zero, x = 0, x + 3 = 0, and x - 2 = 0, we find the solutions to be x = 0, x = -3, and x = 2.
An airline ticket states that the flight takes 2 hours and 45 minutes. The flight time is actually 2 hours and 54 minutes. What is the percent error in the flight time?
Answer:
5.45%
Step-by-step explanation:
Given:
An airline ticket states that the flight takes 2 hours and 45 minutes.
The flight time is actually 2 hours and 54 minutes.
Question asked:
What is the percent error in the flight time?
Solution:
As we know:
[tex]Percent\ error=\frac{Experimental\ value - Theoretical\ value}{ Theoretical\ value}} \times100[/tex]
Theoretical value = 2 hours and 45 minutes
1 hour = 60 minutes
2 hours 45 minutes = 60 [tex]\times[/tex] 2 + 45 = 120 + 45 = 165 minutes
Experimental value = 2 hours and 54 minutes
1 hour = 60 minutes
2 hours 54 minutes = 60 [tex]\times[/tex] 2 + 54 = 120 + 54 = 174 minutes
[tex]Percent\ error=\frac{174-165}{165} \times100\\ \\ Percent\ error=\frac{9}{165} \times100\\ \\ Percent\ error=\frac{900}{165} \\ \\ Percent\ error=5.45[/tex]
Thus, the percent error in the flight time is 5.45%
Answer:
Step-by-step explanation:
Question asked:
What is the percent error in the flight time?
Solution:
As we know:
Theoretical value = 2 hours and 45 minutes
1 hour = 60 minutes
2 hours 45 minutes = 60 2 + 45 = 120 + 45 = 165 minutes
Experimental value = 2 hours and 54 minutes
1 hour = 60 minutes
2 hours 54 minutes = 60 2 + 54 = 120 + 54 = 174 minutes
Thus, the percent error in the flight time is 5.45%
Researchers surveyed recent graduates of two different universities about their income. The following two-way table displays data for the sample of graduates who responded to the survey. Of graduates in the sample, what fraction came from university A?
https://gyazo.com/024c033fb3022b87aee5e6ca3695277b
75 graduates from University A had an income under $20,000.
From the two-way table, we can see that 35 graduates from University A had an income under $20,000. In addition, 40 graduates from University B had an income under $20,000. However, we should not simply add these two numbers together, as some graduates from each university may have been counted twice.
To avoid double counting, we need to look at the total number of graduates who responded to the survey. This number is 35 + 90 + 35 + 37 = 197. Therefore, we know that there were 197 unique graduates who responded to the survey.
Since there were 197 unique graduates and 40 graduates from University B had an income under $20,000, this means that there must have been 197 - 40 = 157 graduates from University A who responded to the survey.
Finally, we can see from the two-way table that 35 graduates from University A had an income under $20,000. Therefore, there were a total of 75 graduates from University A who had an income under $20,000.
Question
Researchers surveyed recent graduates of two different universities about their income. The following two-way table displays data for the sample of graduates who responded to the survey.
How many graduates from University A had an income under $20,000?
________graduates
which expression is equivalent to x + 1 − x + 2x + x + 1? A)3x B)3x + 1 C)3x + 2 D)4x + 1
Help with C please!!
Answer: 2.3
Step-by-step explanation:
Once you add all of the numbers of shoes together you get 14 pairs. To find the mean, you have to divide the total number by the number of values which is 6.
Please read the picture and give me the answer pls ill give u brainliest if you give me the correct answer
Answer:
19.59 meters
Step-by-step explanation:
26 (sin 90) sin 37 / (sin 53) = 19.5924053
Can you help please
I don't think I can answer it
Answer:
Step-by-step explanation:
area=area of trapezium ABCD with parallel sides 6 ft and 4 ft separated by distance 4 ft.+ area of square CEGD
=1/2(6+4)×4+4×4
=1/2 (10)×4+16
=20+16
=36 ft²
25 % of __is 30
I forgot who do slove this bc of quartine :
Answer:
120
Step-by-step explanation:
its easy 25 might as well be 1/4 so 30+30+30+30=120
What is the remainder R when the polynomial p(x) is divided by (x + 5)? Is (x + 5) a factor of p(x)?
p(x) = x3 - 5x2 + 2x - 10
A) R = 0, no
B) R = 0, yes
C) R = -270, no
D) R = -270, yes
Answer:
R= -270, no
Step-by-step explanation:
i need help please asap
Answer:
5/6
Step-by-step explanation:
To add fractions the denominator (or lowest number must be the same)
They are not in this case, so we need to make it that way.
3 can be turned into 6 by multiplying by two. BUT REMEMBER, whatever you do to the top, you do to the bottom and vise versa.
[tex]\frac{2}{3} *\frac{2}{2} =\frac{4}{6}[/tex]
[tex]\frac{4}{6} +\frac{1}{6} =\frac{5}{6}[/tex]
Answer:
5/6
Step-by-step explanation:
I hope this is what you need