301.6 cubic meters
Step-by-step explanation:A cylinder is a shape with straight sides with circular or oval cross-sections. We know that the cylinder in the question must be a circular cylinder due to its radius description.
Volume Formula
A circular cylinder has a volume of [tex]V=\pi r^2h[/tex]. In this equation, V is the volume, r is the radius, and h is the height. The question tells us that r=4m and h=6m. So, we can plug these values into the formula.
Solving for Volume
To solve plug the values into the formula and rewrite the equation.
[tex]V=\pi *4^2*6[/tex]Next, apply the exponents.
[tex]V=\pi *16*6[/tex]Then, multiply the constants.
[tex]V=\pi *96[/tex]Finally, multiply the remaining terms. Remember to use the pi button on the calculator and not an estimation to get a more exact value.
[tex]V=301.6[/tex]Make sure your answer is rounded to the correct digit. This means that the volume must be 301.6 cubic meters.
An electrician charges a flat fee for each job plus an hourly rate . He charged one customer $90 for a job that took him 3 hours . He charged another customer $150 for a job that took him 8 hours . Which equation models the relationship?.
Answer:
let x equal the service charge.
let y equal the per hour charge.
for the job that cost 450, the equation is 450 = x + 6y
for the job that cost 330, the equation is 330 = x + 4y
these two equations needs to be solved simultaneously.
subtract the second equation from the firs to get 120 = 2y
solve for y to get y = 60.
in the first equation, replace y with 60 to get 450 = x + 6*60.
simplify to get 450 = x + 360.
subtract 360 from both sides of the equation to get 90 = x.
it appears that the service charge is equal to 90 and the per hour charge is equal to 60.
for the job that cost 450, the equation becomes 450 = 90 + 6*60 = 90 + 360 = 450.
for the job that cost 330, the equation becomes 330 = 90 + 4*60 = 90 + 240 = 330.
the numbers check out.
the service charge is 90.
the per hour charge is 60.
i believe your solution is that the electrician charges a flat fee of 90 plus an hourly fee of 60 for a service call.
Step-by-step explanation:
To determine the successful applicant for a job, the interviewer assigns a problem to each of the 7 applicants.
If the problems are assigned at random to each applicant, how many different ways can they be assigned?
Answer:
5040
Step-by-step explanation:
type 7! in calc.
Answer:
5040
Step-by-step explanation:
Just take the factorial of 7.
I appologize if I am mistaken.
Find the degree measure of each arc
Answer:
Step-by-step explanation:
i need help math asap
A science teacher recorded the pulse of each of the students in her classes after the students had
climbed a set of stairs. She displayed the results, by class, using the box plots shown.
Which class generally had the highest pulse after climbing the stairs?
The class which generally had the highest pulse of students recorded by the science teacher after climbing the stairs is class 3.
What is box plot representation of data?
Box plot is the way of representation of data which gives the graphical image of the data set to understand better.
The minimum and the maximum values in the box plot is plotted at the end points.
A science teacher recorded the pulse of each of the students in her classes after the students had climbed a set of stairs. She displayed the results, by class, using the box plots shown.
In this box plot, the class 3 has the highest value compare to all the box plot.
Thus, the class which generally had the highest pulse of students recorded by the science teacher after climbing the stairs is class 3.
Learn more about the box plot here;
https://brainly.com/question/14277132
#SPJ1
At school there is a ratio of 3 girls for every 2 boys. If there are 100 students in the school, how many are girls
Answer:
60 girls
Step-by-step explanation:
What is the surface area of the following cylinder in square centimeters? 471 cm 2 31.4 cm 2 47.1 cm 2 54.95 cm 2
Answer:
54.95
Step-by-step explanation:just did the question and got it right.
Hope this helps!
⦁ Leo designs a stand for the new statue on display at the local library. The stand is in the shape of a right trapezoidal prism. The base of the prism has an area of 3 ft2, and the prism stands 3.2 feet high. As Leo paints the stand, he calculates the surface area of the stand to be 35 ft2.
⦁ Leo is asked to purchase roping that will be used to close off the area around the statue. He purchases a length that is five times the perimeter of the stand in roping.
⦁ How much roping does he purchase?
⦁ Leo plans to add gold leaf to the sides of the stand but not to the two bases.
⦁ What percent of the area of the stand will have gold leaf? Round your answer to the nearest whole number.
If the surface area of the stand to be 35 ft². The number of ropes purchase is 45.3125ft and Percent of stand area is 83%.
Number of ropes and Percent of stand areaGiven:
Base area=3ft²
Height=3.2 feet
Surface area=35ft²
a. Number of ropes
Surface area=2×Base area×Base perimeter×Height
Base perimeter(BP):
35=2×3+BP×3.2
35=6+3.2BP
Collect like term
3.2BP=35-6
3.2BP=9
Divide both side by 3.2BP
BP=29/3.2
BP=9.0625ft
Number of ropes=5×9.0625ft
Nimber of ropes=45.3125ft
b. Percent of stand area:
Percent of stand area=(9.0625ft×3.2)÷35ft²
Percent of stand area=29ft²÷35ft²×100
Percent of stand area=82.857ft×100
Percent of stand area=83% (Approximately)
Therefore the number of ropes purchase is 45.3125ft and Percent of stand area is 83%.
Learn more about Percent of stand area here:https://brainly.com/question/2639075
percent discount
A $37.50 dress is on sale for $26.25.
A.20%
B.25%
C.30%
D.35%
E.40%
F.45%
Answer:
C. 30%
Step-by-step explanation:
If you subtract 26.25 from $37.50, you're left with a difference of 11.25.
Given that your question has six possible answers, you can eliminate three of them considering 11.25 is somewhat close to 1/3 of 37.50.
After you've eliminated the first three options, you're left with 30%, 35%, and 40%.
You would get 28.125 by multiplying 11.25 by 2.5 (equal to 40%). So we know that 40% is NOT the solution.
You would get 33.75 by multiplying 11.25 by 3 (equivalent to 33.3 percent). So we know that 35% percent is NOT the solution because a figure less than 35 percent doesn't equal 37.5 percent.
Now that two of the three possible responses have been ruled out, you're left with only one correct answer, 30 percent.
Multiply 37.5 by 0.3 to double-check your work. You'd be left with 11.25, which is the same amount as when you subtracted the dress's price after the discount from the original dress's price.
Please help me with this Q.:)
Answer:
The first one
Step-by-step explanation:
<X = <Z
because they are corresponding angels
9 Janelle ran 26. 23 miles in 4. 3 hours. How many miles did Janelle run per hour?
A 5. 11 miles
B 6. 1 miles
C 21. 93 miles
D 1. 13 miles
Answer:
B
Step-by-step explanation:
Looking for miles / hr sub in the values
26.23 m / 4.3 hr = 6.1 m/hr
solve for x
42=x-2(x+4)
Answer:
-50
Step-by-step explanation:
42+=x-2x-8
42=-x-8
(add 8 to both sides)
50=-x
(divide by negative 1)
-50=x
An earthworm is crawling on top of the grass on a very sunny afternoon. it will immediately begin to dig back under the soil because of its sensitivity to light. what type of behavior is this? question 11 options: inherited learned mimicked imprinted
Earthworm will exhibit Inherited behaviors when digging back under the soil because of its sensitivity to light.
What is Inherited behaviors?Inherited behaviors are behaviors serves as the behavior in organism that is been passed down genetically.
Therefore, Inherited behaviors is when crawling on top of the grass on a very sunny afternoon.
Learn more about Inherited behaviors at;
https://brainly.com/question/24518056
#SPJ4
Which expressions are equivalent to
6
+
12
x
?
7
(
1
+
2
x
)
−
2
x
−
1
Let's see the other options :
7(1+2x)
Use the distributive property :
7+14x
Is 7+14x equivalent to 6+12x? No.
The expression equivalent to 6+12x is :
6(1+2x) ← divide 6+12x by 6 and put it outside the parentheses
hope helpful ~
Hlo everyone!!!
Help me quickly
Please Emergency
50 points + Brainliest
I need full explanation.
Answer:
Full explanation of what?
Answer:
what are we answering
Step-by-step explanation:
Escribe una ecuación que represente la tabla.
por favor respondan ^^
You roll a fair 66-sided die.
What is text P ( roll less than 4)
Answer:
1/22
Step-by-step explanation:
Answer:
P(<4)
Step-by-step explanation:
P(<4) means "What is the probability that the die shows a number less than 4?" Since each side has a probability of 1/6 of showing, we can simply sum these 3 probabilities.
Please help!!!
In the figure below, which is not drawn to scale, find x
A. 7.1
B. 14.2
C. 15
D. 7.5
Answer:
The answer is C. x=15
Step-by-step explanation:
PQ+PR+RQ=360°
(8x-10)°+(6x)°+(10x+10)°=360°
(8x+6x+10x)+(-10+10)=360°
24x+0=360°
[tex]x=\frac{360}{24}[/tex]
x=15
There is a bag filled with 3 blue, 4 red and 5 green marbles. A marble is taken at random from the bag, the colour is noted and then it is replaced. Another marble is taken at random. What is the probability of getting 2 the same colour?
Answer:
[tex] \frac{25}{72} [/tex]
Step-by-step explanation:
[tex]( { \frac{3}{12}) }^{2} + { (\frac{4}{12}) }^{2} + { (\frac{5}{12}) }^{2} = \frac{50}{144} = \frac{25}{72} [/tex]
The elements of a function of x are (-6, -7) (-2, -3) and (2, 3) What is the domain of the function?
A: {-7, -3, 3}
B: {-6,-2, 2}
C: {10}
D: {-7, -6, -2}
Answer:
B: {-6, -2, 2}
Step-by-step explanation:
Domain = input values (x-values)
Given elements: (-6, -7) (-2, -3) (2, 3)
The x-values of the given elements are: -6, -2 and 2
Therefore, the domain is {-6, -2, 2}
What is the value of the expression 30 − 9 + 3 − (12 ÷ 4)? 18 20 21 24
Answer: What is the value of the expression 30 - 9 + 3 - (12dividedby4?
18 20 21 24
Step-by-step explanation:
IT"S APPLE!!!
Please tell me the answer
1*2*3*4*5*6*7*8*9*0=
Answer:
1*2*3*4*5*6*7*8*9*0=0
For anything times zero is zero
Step-by-step explanation:
Answer:
Step-by-step explanation:
this is zero, because the last number you multiply by is zero... but.. to be fair, it probably should have been a 10, as in 10 factorial or 10! if it was 10! , it would be 3,628,800.
factor the polynomials of 6x^2-7x-20
can someone help me with this
Answer:
Total Area = 1200 in^2
Step-by-step explanation:
There is a triangle and a rectangle.
Arca Triangle: Area = 1/2 * Base* Height
Area = 1/2 * 40 in * 30 in = 600 in^2
Area Rectangle: Area = Length* Width
Area = 30 in * 20 in = 600 in^2
Total Area = Area Rect + Area Tri
Total Area = 600 in^2 + 600 in^2 = 1200 in^2
In order to either condense or expand logarithms using their properties, what must be?
Group of answer choices
the need the same exponent
they need the same answer
the need to have the same base
Answer:
Answer C
Step-by-step explanation:
The rules of logarithmic functions require the two log functions to have the same base. If they do not have the same base, you cannot apply any of the rules.
Answer:
Last option
Step-by-step explanation:
They need same base inorder to apply any property
Like
log_a(bc)=log_a^b+log_a^clog_a(b/c)=log_a^b-log_a^cwhat is the answer to 1/3 + 3/4 + 2/5 =
[tex]( x + 1)(x - 1)[/tex]
what's the answer!!!!
[tex]\boxed{x^2-1}[/tex] is the ans
Calculations ↓First, multiply x times x :
x²
Now multiply x times (-1) :
-1x or -x
Right now we have
x²-x
Now multiply 1 times x :
x
x²-x+x
Now multiply -1 times 1 :
-1
x^2+x-x-1
the x's cancel :
x^2-1
So the simplified expression is :[tex]\blue{\boxed{\pmb{x^2-1}}[/tex]
[tex]\small\text{hope\:helpful~}[/tex]
need the answer
Find (3x+7)2 .
Answer:
9x² + 42x + 49
Step-by-step explanation:
Identity
(x + a)² = x² + 2ax + a²In this case, x = 3x and a = 7, so substitute the values.
(3x + 7)²(3x)² + 2(3x)(7) + (7)²9x² + 42x + 49Answer:
[tex]9x^2 + 42x + 49[/tex]
Step-by-step explanation:
Step 1: Factor out the expression
[tex](3x + 7)^2[/tex]
[tex](3x + 7)(3x + 7)[/tex]
[tex](3x * 3x) + (3x * 7) + (7 * 3x) + (7 * 7)[/tex]
[tex]9x^2 + 21x + 21x + 49[/tex]
[tex]9x^2 + 42x + 49[/tex]
Answer: [tex]9x^2 + 42x + 49[/tex]
explain how to do this
i forgot how to do it
Answer:
how i do it:
break the entire figure up into simple shapes ( there should be 4 separate figures once you do this )
find the missing / needed side lengths using the information already provided
multiply to get the area of each figure
add them all up
PLEASE HELP!!!!
What is the area of the picture below?
Answer:
A=130
Step-by-step explanation: