Answer:
The force that must be applied on the small piston has a magnitude of 500 newtons.
Step-by-step explanation:
By Pascal's Principle, we know that pressure within any point of a closed hydraulic system is the same. Hence, the hydraulic machine can be described by the following model:
[tex]\frac{F_{1}}{A_{1}} = \frac{F_{2}}{A_{2}}[/tex] (1)
Where:
[tex]F_{1}, F_{2}[/tex] - Forces applied on the small and large pistons, in newtons.
[tex]A_{1}, A_{2}[/tex] - Areas of the small and large pistons, in square meters.
If we know that [tex]A_{1} = 0.5\,m^{2}[/tex], [tex]A_{2} = 1\,m^{2}[/tex] and [tex]F_{2} = 1000\,N[/tex], then the force to be applied on the small piston is:
[tex]F_{1} = \left(\frac{A_{1}}{A_{2}} \right)\cdot F_{2}[/tex]
[tex]F_{1} = \left(\frac{0.5\,m^{2}}{1\,m^{2}} \right)\cdot (1000\,N)[/tex]
[tex]F_{1} = 500\,N[/tex]
The force that must be applied on the small piston has a magnitude of 500 newtons.
Help please!
What is the probability of picking a purple marble and spinning green? 2 Answer: Write the answer as a simplified fraction.
Answer:
3/28
Step-by-step explanation:
1/7 times 6/8
Helpppppppp meeeee please ASAP
Answer:
(9, 13, 22)
Step-by-step explanation:
We can use the triangle inequality theorem to help us solve this problem. We know that the two shortest sides of a traingle added up (their sum) needs to always be greater than the longest side of the triangle. Taking that information, we can figure out that 9+13=22. 22=22, not 22>22. This means that is the right answer, hopefully that helps!
The pattern 0, 15, 30, 45, ________, follows the "add 15" rule. Use words to describe the rule and write the next term.
pls writ abt 1-2 sentences asap :(((
Answer: The pattern uses the rule "Add 15", adding 15 per term. Making the next term, 60.
Write an equation of the line that passes through the point (2, -3) and has a
slope of -1.
Answer:
Y = -1x - 1
Step-by-step explanation:
I used desmos graphing calculator and tried until I got a line that worked. It passes through (2, -3) and has a slope of -1
Hope this helped :)
George has a spinner with three equal sections colored orange, blue, and white. He spins the spinner 100 times. What is the experimental probability of landing on the orange section?
Answer:
1/3
Step-by-step explanation:
Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.
Experimental probability is based on the result of an experiment that has been carried out multiples times
probability of landing on the orange section = proportion of the orange section / total proportions of all the colours
= 1/3
Find the length of CD
What is the inverse of the function g(x) = 1/2x + 1/2?
Step-by-step explanation:
Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=2x f - 1 ( x ) = 2 x is the inverse of f(x)=12x f ( x ) = 1 2 x .
Replace f(x)f(x) with yy.
y=12xy=12x
Interchange the variables.
x=12yx=12y
Solve for yy.
Rewrite the equation as 12y=x12y=x.
12y=x12y=x
Multiply both sides of the equation by 22.
2⋅12⋅y=2⋅x2⋅12⋅y=2⋅x
Simplify 2⋅12⋅y2⋅12⋅y.
Cancel the common factor of 22.
Cancel the common factor.
2⋅12⋅y=2⋅x2⋅12⋅y=2⋅x
Rewrite the expression.
1⋅y=2⋅x1⋅y=2⋅x
Multiply yy by 11.
y=2⋅xy=2⋅x
Solve for yy and replace with f−1(x)f-1(x).
Replace the yy with f−1(x)f-1(x) to show the final answer.
f−1(x)=2xf-1(x)=2x
Set up the composite result function.
g(f(x))
the graph below have the same shape.
what is the equation of the blue graph?
Help me please
The answer is D.
the blue parabola is 1 y value up from red. So you have a +1. It is 4 values to the right of red, but when x is in the format of (x + a) ^2, then the sign of operation is opposite of the action in graph. So positive means subtracting and negative means adding. So you put in x - 4
Can someone help me identify what quadrilateral is this?
Answer:
Its C
Step-by-step explanation:
Question 2
Which of these expressions is equal to 4m + 8m?
Answer:
12 m
Step-by-step explanation:
Given the expression : 8m + 4m
The numbers 8m and 4m are bound by the addition operator.
When using the addition operator, the Coefficient are are the values added for like terms.
Since both values given can be like terms based on 'm', the Coefficient of m in each vlaue is added ;
Hence, we have ;
8m + 4m = 12m
Tony is building a new silo to store corn as animal feed. It will be a cylinder topped with a half-sphere, and must store 21 000 t of corn. The entire silo can be filled with corn. Tony wants to minimize the surface area of the silo to reduce materials and paint costs. He has the following information:
• 1 cubic m of corn has a mass of 700 kg.
• Building costs are $8/m2, taxes included.
• Paint comes in 3.8 L cans.
Each can covers 40 sq m and costs $35,
taxes included.
• Corn costs $140 per tonne ($140/t), taxes
included.
What is the total cost to build, paint, and fill a silo with the least surface area?
Answer:
all i know is that the answer is
above 2,400
Step-by-step explanation:
Sergio is buying plums at $1.60
per pound. He buys at least 1
pound. The weight of each plum
is a quarter of a pound. Sergio
states he can buy a number of
plums that cost exactly $3.80.
Complete Parts A and B to show
Sergio's statement is false.
PLEASE HELP QUICKLY NO LINKSS!
Answer:
Sergio's statement is false
Step-by-step explanation:
Cost of one pound of plum = 1.60
Total quantity of plum bought = 1
Weight of each plum = 1/4 pound
If he buys plum of $ 3.80 at the rate of $1.60 per pound, he purchases 2.375 pounds of plum
Weight of one plum = 1/4 pound, thus total number of plum purchased = 9.5
Since 0.5 pound of plum means half plum which is not possible to buy
Hence Sergio's statement is false
Tell whether the angle is complimentary, supplementary or neither
What is 56 divided by 0.7
Answer:
56 ÷ 0.7 is 80
0.7 ÷ 56 is 0.0125
What is the mean, outlier & mean without outlier for 4; 4; 5; 6; 8; 9; 27
Answer:
the mean is 9.
Step-by-step explanation:
mean=4+4+5+6+8+9+277
= 63 7 9 is the answer.A rectangular farm has an area of 1.04 square kilometers. The length of the farm is 0.8 kilometer. What is the width, in kilometers, of the farm.
A) 13.0
B) 10.5
C) 1.3
D) 1.05
Answer:
[tex]\text{C. }1.3[/tex]
Step-by-step explanation:
The area of a rectangle with width [tex]w[/tex] and length [tex]l[/tex] is given by [tex]A=lw[/tex].
What we're given:
[tex]A[/tex] of 1.04[tex]l[/tex] of 0.8Substituting given values, we get:
[tex]1.04=0.8w,\\w=\frac{1.04}{0.8}=\boxed{\text{C. }1.3}[/tex]
help! f(x)=x^2 what is g(x)
Answer:
A. g(x) = (¼x)²
Step-by-step explanation:
___________
solve for x y=7x+5
y = 9x+4
Answer:
x = 1/2
Step-by-step explanation:
y = 7x+5
y = 9x+4
7x+5 = 9x+4
1=2x
x = 1/2 = 0.5
Answer:
1. [tex]x = - \frac{5}{7} [/tex]
2. [tex] x = - \frac{4}{9} [/tex]
Step-by-step explanation:
[tex]y = 7x + 5 \\ 0 = 7x + 5 \\ - 7x = 5[/tex]
[tex]\boxed{Answer:{\boxed{\green{x = - \frac{5}{7}}}}} [/tex]
[tex]y = 9x + 4 \\ 0 = 9 x + 4 \\ - 9x = 4[/tex]
[tex] \boxed{Answer:{\boxed{\green{x = - \frac{4}{9} }}}}[/tex]
What is the equation of the line
Find y.
Round to the nearest tenth:
29°
500 ft
у
X
y = [? ]ft
Y’all please help :,,,)
Answer:
Step-by-step explanation:
sin A = [tex]\frac{opposite side}{Hypotenuse}[/tex]
Sin 29 = [tex]\frac{y}{500}[/tex]
0.4848 * 500 = y
y = 242.4 ft
Answer:
Y=242.4
Step-by-step explanation:
due to the association property the angle at the bottom left is 29 degrees
since sine property is oposite over hypothesis we get
sine(29)=y/500
500sin(29)=y
Y=242.4
Write the following number by entering one digit in each box of the place value chart.
Answer:
The number itself is 508.231
Step-by-step explanation:
Any multiplying each of the numbers, we will have the specific places
Hundreds
5 * 100 = 500
Tenths
0 * 10 = 0
ones
8 * 1 = 8
Tenths = 2 * 1/10 = 2/10 = 1/5 = 0.2
Hundredths = 3/100 = 0.03
Thousandths = 1/1000 = 0.001
So we simply sum all these to get the number itself as follows
500 + 8 + 0.2 + 0.03 + 0.001 = 508.231
Miguel is working at the county fair. On Friday, he works at the concession stand. On Saturday, he works at the balloon dart booth. At the concession stand, Miguel sells 7 soft pretzels for every 2 candied apples. How much profit will the concession stand make if it sells 161 soft pretzels? Explain.
Answer:
$362.25
Step-by-step explanation:
Profit made per product :
Soft pretzel = $5.25 - $3.50 = $1.75
Candied apple = $3.50 - $1.75 = $1.75
For every 2 candied apple sold, 7 soft pretzel is sold :
If 161 sold pretzel is sold, the number of candied apple sold will be :
(161 / 7) * 2
23 *. 2 = 46 candied apple was sold
Profit made on product sold :
Soft pretzel = $1.75 * 161 = $281.75
Candied apple = $1.75 * 46 = $80.5
$(80.5 + 281.75) = $362.25
find the volume of a triangular prism
Answer:
96 cu.ft must be the answer to the question..
Answer:
I think 96 cu.ft is the answer
When -3x + 6 − 3x − 24 + 2y is simplified, the result is
Answer:
- 6x - 18 + 2y
Step-by-step explanation:
- 3x + 6 - 3x - 24 + 2y
- 6x + 6 - 24 + 2y
- 6x - 18 + 2y
Answer:
-6x -18 + 2y
Step-by-step explanation:
1. Collect like terms:
-3x + -3x = -6x
-24 + 6 = -18
2. Rewrite expression:
-6x -18 +2y
Hope this helps, good luck! :D
Which store has the best buy on king-size candy bars?
what is the least number of apples that can be shared equally among either 6, 10 or 15 children?
A. 24
B. 30
C. 60
D. 90
For the following right triangle find the side length x round your answer to the nearest hundredth
Answer:
x ≈ 12.96
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
x² + 11² = 17²
x² + 121 = 289 ( subtract 121 from both sides )
x² = 168 ( take the square root of both sides )
x = [tex]\sqrt{168}[/tex] ≈ 12.96 ( to the nearest hundredth )
If land is valued at $2400 per acre (1 acre is 43560 square feet), what is the value of the parcel of land?
Answer:
below
Step-by-step explanation:
the solution is
$2,400 * 43,560
=$104,544,000
A tiny area on a computer chip measures 2.3*10^-3 mm by 1.7*10^-4 mm. About how many times longer is the longer dimension than the shorter dimension? A. 1.35 B. 6 C. 7.4 D. 13.5
Find the equation of the straight line passing through the point (-1,2) which is perpendicular to the line y=x+4