A company makes steel rods shaped like cylinders. Each rod has a radius of 2 centimeters and height of 70 centimeters. How much steel will the company need to make 243 rods? Use 3.14 for pie, and round your answer to one decimal
Answer:
213,645.6cm³
Step-by-step explanation:
Area of a cylinder is expressed as;
V = πr²h
r is the radius = 2cm
h is the height = 70cm
Get the volume of one rod;
V = πr²h
V = (3.14)(2)²(70)
V = (3.14)(4)(70)
V = 879.2cm³
one steel = 879.2cm³
243 rods = x
Cross multiply;
x = 879.2 * 243
x = 213,645.6
The company will need 213,645.6cm³ volume of steel to make 243 rods
which expression is equivalent to the given expression? 3x^2+5x-7(x^2+4)
Answer:
-(4 x^2 - 5 x + 28)
-4 x^2 + 5 x - 28
-1\/16 (8 x - 5)^2 - 423\/16
Step-by-step explanation:
any of these equations are equal to 3x^2+5x-7(x^2+4)
The equivalent expression is -4 x² + 5 x - 28.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Given:
3x²+5x-7(x²+4)
Now,
-(4 x² - 5 x + 28)
-4 x² + 5 x - 28
-1\/16 (8 x - 5)² - 423\/16
Hence, the equivalent expression is -4 x² + 5 x - 28.
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Plz help me out I’m so confused
Answer:
b
Step-by-step explanation:
Answer:
The correct answer would be the second option y-2=1/3(x-3)
What point is the intersection of the graphs of the lines 2 x - y = 3
and x + y = 3?
Answer:
(2, 1 )
Step-by-step explanation:
Given the 2 equations
2x - y = 3 → (1)
x + y = 3 → (2)
Rearrange (2) expressing y in terms of x by subtracting x from both sides
y = 3 - x → (3)
Substitute y = 3 - x into (1)
2x - (3 - x) = 3
2x - 3 + x = 3
3x - 3 = 3 ( add 3 to both sides )
3x = 6 ( divide both sides by 3 )
x = 2
substitute x = 2 into (3) for corresponding value of y
y = 3 - 2 = 1
Solution is (2, 1 )
The original price of a ski jacket was $220. It was on sale at a 25% discount. Arianna had a coupon for an additional 10% off the sale price.
What price did Arianna pay for the ski jacket?
$12,000 at 2.2% for 5 years.
what’s the interest?
Answer:
264.
Step-by-step explanation:
12,000X2.2%=264.
If you earn $13/hour and you work 2 hours overtime at a rate of time and a half, how much will you earn for each hour of overtime?
Answer:
32.50
Step-by-step explanation:
It is simple. You need to know the basics of money, fractions, and well... Math! :)
if you take 13 and multiply it by 2 you get 26
Take the 26 and put it aside -------------> 26
divide 13 in half. that would be 6.50
6.50 + 6.50 = 13
Now get the 26 --------------------------> 26
and add 6.50 to 26.
That would be 32.50!
Please make sure to follow and like! :)
Solve for g. If you can please add an explanation
Answer:
g=7
Step-by-step explanation:
your goal is to isolate the g
times g/-4 by -4/1 the -4 cancels out the other one so you are just left with g
move the g to the other side of the equation then move the 3 and it to the -5 and then multiply the whole thing but -1 to make the equation positive
Please help! I'll give brainliest! I'm gonna be grounded for the 3rd time this week if my stuff isn't done :/
How do geologists believe that the Devils Tower was formed?
A. All the land except the rocks around the Devils Tower were
eroded during the Ice Age.
B. The Devils Tower was an ancient hotspot that plate movements
isolated after the volcano became inactive.
C. Magma pushed up from the mantle to sedimentary rocks which
then eroded leaving the column.
D. It's the stem of a volcano that erupted millions of years ago
and surrounding rock eroded away.
Answer:
C. Magma pushed up from the mantle to sedimentary rocks which
then eroded leaving the column.
Step-by-step explanation:
Geologists Carpenter and Russell studied Devils Tower in the late 1800s and concluded that the Tower was formed by an igneous intrusion (the forcible entry of magma through other rock layers).
NEED ASAP Triangle XYZ is similar to triangle PDQ. The measures of the angles in triangle XYZ are shown in the table. What is the measure of angle D?
Answer:
measure angle D = 62
Step-by-step explanation:
as the sum of measures of triangle =180
then (8x-40)+(4x-10)+(3x+20)=180
15x-30=180
x=(180+30)/15=14
XYZ SIMILAR TO PDQ
Y=D=3*14+20=62
how many does this have
x – 7y = –11
5x + 2y = -18
Answer:
hope this help you
Step-by-step explanation:
Simplifying
X + -7y = -11
Solving
X + -7y = -11
Solving for variable 'X'.
Move all terms containing X to the left, all other terms to the right.
Add '7y' to each side of the equation.
X + -7y + 7y = -11 + 7y
Combine like terms: -7y + 7y = 0
X = -11 + 7y
Simplifying
X = -11 + 7y
------------------------------------------------------------------------------------------------------------
Solving
5x + 2y = -18
Solving for variable 'x'.
Add '-2y' to each side of the equation.
5x + 2y + -2y = -18 + -2y
Combine like terms: 2y + -2y = 0
5x = -18 + -2y
Divide each side by '5'.
x = -3.6 + -0.4y
Simplifying
x = -3.6 + -0.4y
3x-5y=22: y=-5x+32 solve for y
At a college bookstore, Tanisha bought a Math Textbook and a Novel for $54. If the price of the Math Textbook is $8 more than 3 times the price of the Novel, then how much is the price of each book?
Answer: Price of Math Textbook= $42.5, Price of the Novel= $11.5
Step-by-step explanation:
Let x = price of the Novel.
Price of Math Textbook = 8+3x
As per given , we have
Price of Math Textbook + Price of the Novel = $54
⇒ 8+3x+x = 54
⇒ 8+4x=54
⇒ 4x = 46 [subtract 8 from both sides]
⇒ x = 11.5
Price of Math Textbook = 8+3(11.5) = 8+34.5= $42.5
Hence, Price of Math Textbook= $42.5, Price of the Novel= $11.5
Which function has a domain of all real numbers?
A. y = -2(3x)^1/6
B. y = (x +2)1/4
C.y = (2x)^1/3-7
D.y= -x^1/2+5
Answer:
c - (2x)^1/3-7
Step-by-step explanation:
plato
The function [tex]y= -x^{1/2}+5[/tex] has a domain of all real numbers.
Thus, option (D) is correct.
As, Domain is the input value of the function.
In the function [tex]y= -x^{1/2}+5[/tex] .
The square root is defined for all non-negative real numbers (including zero).
When we subtract this square root from 5, the resulting function has a domain of all real numbers.
In options A, B, and C, which involve fractional exponents or roots, option D does not have any restrictions on the values of x.
The function can be evaluated for any real number x, making its domain all real numbers.
Therefore, [tex]y= -x^{1/2}+5[/tex] , has a domain of all real numbers.
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"The output is 5 less than twice the input
Answer:
x=2x-5
Im pretty sure that's it
A local coffee house donates 2 pounds of
gourmet coffee beans to be sold at a local
fundraiser. The people running the fundraiser
decide to package and sell the coffee beans
in pound packages. How many pound
packages can they make
Answer:
They can make 2
Step-by-step explanation:
The coffee shop donated 2lbs, and if they package it in 1lb bags, 2/1=2
One ninth of the students in Mr. Beck’s class list red as their favorite color. Twice as many students call blue their favorite, and three times as many students prefer pink. The rest name green as their favorite color. If 6 students call blue their favorite color, how many students are in Mr. Beck’s class?
Answer:
27
Step-by-step explanation:
this is because 6 students is 2/9th of the class and if we divide that by two we get 3. 3 is 1/9th od the class so we multiply it by 9 to get 27 which is how many students should be in his class if i am right
can someone please help me with this whole page asap !!!
need rn! please help, thx :)
Answer:
square root 8
Step-by-step explanation:
trust bro
If a car travels 400 m over 80 seconds, how fast is the car traveling?
300 meters per minute: 3600 meters per hour
YW BRAINLIEST PLEASE
What are the coordinates of the x-
intercept of the line in the graph
shown below?
Given the function
f(x)=-1/2(1-x)^2,
find f(-5).
Answer:
f(x)= -1/2(1-x)^2
replacing x with -5 since -5 was given as the function
f(-5)=-1/2(1-5)^2
according to bodmas we solve what is in the bracket first
f(-5)=-1/2(-4)^2
f(-5)=-1/2(16)
-1/2*16/1
-16/2=-8
Need help please!!!!!
Answer:
0 or 5/12
Step-by-step explanation:
with everything subtracted its 0 but with only subtracting 1/6 its 5/12
If f(x) = 3x + 2, what is f(5)?
Answer:
f(5)=3(5)+2 = 17
Step-by-step explanation:
Estimate 5,860÷2.1≈
i really need help on it.
Answer: it 2790
Step-by-step explanation:
The value of 5,860÷2.1 is 2790.
What is division?
In easy phrases, the division may be described because of the splitting of a massive institution into smaller companies such that every institution may have the same number of items. it's far an operation used for identical grouping and the same sharing in math.
What are the terminologies used in the division?dividend, divisor, quotient remainder.Learn more about division here: https://brainly.com/question/25289437
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Determine the slope of each line.
1.
ТУ
2.
8
ty
8
115,7)
4
(6,5)
4
Х
0
-4
-8
0
-8
4 8
(
2-2)
4
-
-4, -3)
-8
S
Answer:
The slope of the given line is -4
Step-by-step explanation:
The formula of the slope of a line passes through points (x1, y1) and (x2, y2) is m = [tex]\frac{y2-y1}{x2-x1}[/tex]
In the given figure
∵ The line passes through the points (-6, 5) and (-4, -3)
∴ x1 = -6 and y1 = 5
∴ x2 = -4 and y2 = -3
→ Substitute them in the formula of the slope above
∵ m = [tex]\frac{-3-5}{-4--6}[/tex]
∴ m = [tex]\frac{-8}{-4+6}[/tex]
∴ m = [tex]\frac{-8}{2}[/tex]
∴ m = -4
∴ The slope of the given line is -4
What’s the measure of STX?
Answer: 113
Step-by-step explanation:
47+66=x
113=x
(umm can anyone help me please) I’ll give brainlist <3
Answer:
12
Step-by-step explanation:
8 times 1.5
aaaaaaaaaaaaaaaaaaaaahhhhhhhhhhhhhhhhh help
Answer:
x = 27
STEP BY STEP:
3 = x/9
3 = x/3 x 2
9 x 3 = x
27 = x
x = 27
Hope this helped! Have a good day!