Complete question is;
In a hydraulic system, a 100-newton force is applied to a small piston with an area of 0.0020 m².
This hydraulic system should produce an output force of 50,000 newtons. How large an area should the output piston have?
Answer:
A2 = 1 m²
Step-by-step explanation:
Using Pascal's Law which is here applied to mechanical advantage of a hydraulic piston, we can find the area of the large piston from;
F1/A1 = F2/A2
We are given;
Force of small piston: F1 = 100 N
Area of small piston; A1 = 0.0020 m²
Force of small piston: F2 = 50000 N
Thus;
Making A2 the subject, we have;
A2 = (F2/F1)A1
A2 = (50000/100) × 0.0020
A2 = 1 m²
if f(x)=2x^2-3x+9, then calculate f(8)
Answer:
f(8)= 113
Step-by-step explanation:
f(8)= 2(8)^2-3(8)+9
f(8)= 2(64)-3(8)+9
f(8)= 128-24+9
f(8)= 113
(USE PEMDAS)
GIVING 50 POINTS FOR A CORRECT ANSWER QUICK
(I need help like..really quick so..please help lol)
Answer:
M represents the slope
Answer:
The number being multiplied by x or the slope
Step-by-step explanation:
Given: Triangle WTR with WT = 25 and WR = 40. Identify all possible lengths for TR.
40
17
15
42
52
67
65
14
Answer:
The possible lengths of TR : TR = 17, 40, 42, 52,
Step-by-step explanation:
Given: Triangle WTR with WT = 25 and WR = 40. Identify all possible lengths for TR.
To find the possible lengths of the third side of a triangle:
c - a< b > a + c
a = WT = 25
c = WR= 40
b = TR = ??
40 - 25 < b < 40 + 25
15 < b < 65
The possible lengths of TR has to be greater than 15 and less than 65, Hence: TR = 17, 40, 42, 52,
1. Solve for x: 7x + 15 = 38 (5 points) (A.23/7) (B.53/7) (C.23) (D.53)
Answer:
A. 23/7
Step-by-step explanation:
Step 1:
7x + 15 = 38 Equation
Step 2:
7x = 23 Subtract 15 on both sides
Step 3:
x = 23 ÷ 7 Divide
Answer:
x = 23/7
Hope This Helps :)
Answer:
23/7
Hope this helps..
I am not sure with the answer..
but I think it's correct
what are you doing for Christmas?
I'm probably doing nothing...
I might visit my grandparents tho because they recently moved near by
thanks for the points
Answer:
I might go see my cousins in a different state and most likely play with the snow out there!!
Step-by-step explanation:
Which of the following statements is INCORRECT?
A. FE = 58
B. DE = 58
C. x = 8
D. DF = 40
Given:
In figure, ΔDEF has two equal angles ∠E and ∠F.
[tex]DE=40,EF=6x+10,DF=8x-24[/tex]
To find:
The incorrect statement from the given options.
Solution:
In triangle DEF,
[tex]\angle E=\angle F[/tex] (Given)
[tex]DF=DE[/tex] (Base angles are equal, so it is an isosceles triangle)
[tex]8x-24=40[/tex]
[tex]8x=40+24[/tex]
[tex]8x=64[/tex]
Divide both sides by 8.
[tex]x=8[/tex]
Now,
[tex]DE=DF=40[/tex] (Isosceles triangle)
[tex]EF=6x+10[/tex]
[tex]EF=6(8)+10[/tex]
[tex]EF=48+10[/tex]
[tex]EF=58[/tex]
Therefore, x=8, FE=58, DE =40 and DF = 40.
Hence, the incorrect statement is in option B. So, option B is correct.
An isosceles triangle has two equal opposites sides
The correct statements are
A. FE = 58
A. FE = 58C. x = 8
A. FE = 58C. x = 8D. DF = 40
incorrect statement is
B. DE = 58
Given:
Side DE = 40
Side FE = 6x + 10
Side DF = 8x - 24
Recall,
DF = DE
8x - 24 = 40
8x = 40 + 24
8x = 64
x = 64 / 8
x = 8
Therefore,
Side FE = 6x + 10
= 6(8) + 10
= 48 + 10
= 58
Side DF = 8x - 24
= 8(8) - 24
= 64 - 24
= 40
Read more:
https://brainly.com/question/13664166
given an equation in standard form solve for y and graph 3y+x=6
Answer:
y= -1/3+2
Step-by-step explanation:
how to solve this problem by finding x
Answer:
X=140
Step-by-step explanation:
Firstly, any Quadrilateral has a total sum of its angle equal to 360 degrees
The attachment you are showing us shows that we already know two angles
(70)&(60) degrees. I am assuming the line DC is a tangent, so angle ADC must be 90 degrees since a full angle on a tangent is equal to 180 degrees and there is 90 from the other side (180-90=90). Now we know 3 angles and what you have to do is find X so that when you add them all up they make a sum of 360.
X+70+60+90=360
X=360-70-60-90
X=140
2
What is the slope of the line y = 3-2/3x
Answer:
the slope is -3
Step-by-step explanation:
Buddy and his team have been asked by NASA to make a space shuttle cake (a scale model shaped like the one to the left) for a fundraising event. The original space shuttle has a height of 184 ft and a wingspan of 78 ft. Buddy and his team decide to construct the cake on-site so that they do not have to worry about transporting it. Buddy decides to make a cake with a wingspan of 10 ft and asks one of his decorators, Ivette, to calculate the height of the cake. Ivette decides that the cake should be approximately 4 ft tall.
Answer:
Ivette is wrong and by a lot. The spaceship should be 23.59 feet high
Step-by-step explanation:
The relationship between the spaceship's height and width = 184 feet : 78 feet ≈ 92 : 39 ≈ 9.2 : 3.9. This means that for every 3.9 feet wide, the cake should be 9.2 feet high.
In this case, the spaceship is 10 feet wide, so it should be (10 / 3.9) x 9.2 = 23.59 feet high.
When you make scale drawings or scale cakes, you must keep the same proportions as the original model.
hello, I need help with this! also could you please explain how you did it, thank you! :)
Answer:
-7
Step-by-step explanation:
-2(4 - 5 ) - 1(2 - 5)^2
-2(-1) - 1(-3)^2
2 - 1(9)
2 - 9
-7
Hope this helps. Pls give brainliest.
Answer:
-7
Step-by-step explanation:
How many solutions does the equation
10-3x+10x-7=5x-5+2x+8 have?
What is the value of the function y = 2x + 3 when x=−1?
5
2
1
−5
The Correct Answer is; {C} 1
I took the test.
1.
Is the following statement a good definition? Why?
An integer is divisible by 100 if and only if its last two digits are zeros.
Answer:
It is, because it is clear and true. It also gets straight to the point.
Step-by-step explanation:
Given the diagram below. If G is the circumcenter of ABC. DC = 16, GB = 21 and AZ = 19, find each measure.
Answer:
Step-by-step explanation:
Properties of a circumcenter;
1). Circumcenter of a triangle is a point which is equidistant from all vertices.
2). Point where perpendicular bisectors of the sides of a triangle meet is called circumcenter of the triangle.
From the picture attached,
9). AG = GB = GC = 21
10). BC = 2(DC)
= 2×16
= 32
11). By applying Pythagoras Theorem in ΔGFB,
GB² = GF² + FB²
(21)² = GF² + (19)²
441 = GF² + 361
GF² = 441 - 361
GF = [tex]\sqrt{80}[/tex]
GF = 8.9
12). By applying Pythagoras theorem in ΔGDB,
GB² = DG² + BD²
(21)² = (DG)² + (16)² [BD = DC = 16]
DG² = 441 - 256
DG = √185
DG = 13.6
a case bottle water contains 24 bottles . each case contains a total of 405.6 ounces of water wich equation represents the relationship between ounces of water , y,and number of bottles,x
Answer:
y = 16.9x
where y is the ounces of water
and x is the number of bottles
Step-by-step explanation:
Here, we want to find the relationship between ounces of water y and number of bottles x
From the question, we can find the amount of liquid in each bottle
Mathematically, that will be 405.6/24 = 16.9 ounces
There is 16.9 ounces of water per bottle
So the relationship we want to write is that;
y = 16.9x
Jason use 65 books in 1 month .How many will he use in 7 days?
Answer:
16.25 books
Step-by-step explanation:
assuming there are 4 weeks in a month, divide 65 by 4.
Answer:
16 or 16.25
Step-by-step explanation:
You might have to round idek if you meant read or used so
Which form of the quadratic equation would be the BEST to use when needing to identify the x-Intercept(s) of a parabola?
A) Vertex Form
B) Factored Form
C) Linear Form
D) Standard Form
If there are 52 calories in one chicken nugget and 39 calories in one waffle fry, write an expression to represent the total number of calories consumed if you eat c chicken nuggets and w waffle fries. Next, find out total number of calories consumed if you ate 5 chicken nuggets and 10 waffle fries.
Multiply calories per nugget by number of nuggets and add to calories per waffle multiplied by number of waffles:
Total calories = 52c + 39w
Now replace the variables with the quantities and find total calories:
Total = 52(5) + 39(10)
Total = 260 + 390
Total = 650 calories
This is my question,
Hannah wants to buy a $570 camera. She can save $50 each week from her paycheck. However, before Hannah can buy the camera, she must give her brother $80 that owes him. For how many weeks will Hannah need to save before she can pay back her brother and buy the camera.
Thank you so much, I really appreciate it!!
Answer:
9 weeks
Step-by-step explanation:
Given that
x
= 7.7 m and
θ
= 52°, work out AC rounded to 3 SF.
Answer:
The answer is 12.5cm
Step-by-step explanation:
cos 52= 7.7/AC
AC= 7.7/ cos 52
AC= 12.5
What is the equation of the circle in center - radius form: x² + y2 + 12x -107 -7 = 0?
(x +12)2 + (y - 25)2 = 68
(x +6)2 + (y - 5)2 = 61
(x - 6)2 + (y + 5)2 = 68
(x +6)2 + (y - 5)2 = 68
Please help will give BRAINLIEST
Answer:
D
Step-by-step explanation:
We have the equation:
[tex]x^2+y^2+12x-10y-7=0[/tex]
And we would like to convert this to an equation for a circle.
This will require completing the square. Thus, let’s factor group our factors. We will also move the constant to the right. Therefore:
[tex](x^2+12x)+(y^2-10y)=7[/tex]
To complete the square, we divide the b term by 2, square it, and then add the resulting constant to both sides.
Therefore, for the first term, we will have 12/2. 12/2 is 6. 6 squared is 36.
Hence, we would add 36 to both sides.
For the second term, we have -10/2. -10/2 is 5. 5 squared is 25. Hence, we would add 25 to both sides.
This yields:
[tex](x^2+12x+36)+(y^2-10y+25)=7+36+25[/tex]
We can now factor the two terms using the perfect square trinomial pattern. We will also add on the right. Hence, our equation is:
[tex](x+6)^2+(y-5)^2=68[/tex]
Therefore, our answer is D.
Why did the donkey get a passport ?
Answer:
So he could become a travel burro.
Step-by-step explanation:
The solution to some of the algebraic expressions in the excerpt titled "Why did the donkey get a passport?" is 8x² - 3x + 17 and 2x² + 9x + 3
Why did the donkey get a passport is a title for a series of algebraic expressions that need to be solved.
What is an algebraic expression?An algebraic expression is a mathematical expression that comprises integers, variables, and arithmetic operations.
In the title "Why did the donkey get a passport?", we have some of the following questions:
8x² + 2x - 5x + 17 4 - 3x² - 9x - 7 + x²Simplifying the algebraic expressions, we have:
1.
8x² + 2x - 5x + 17
8x² - 3x + 17
2.
4 - 3x² - 9x - 7 + x²
By rearrangement
x² - 3x² - 9x -7 + 4
-2x² - 9x - 3
Multiply through by (-)
2x² + 9x + 3
Learn more about solving algebraic expressions here:
https://brainly.com/question/4344214
#SPJ2
What's the difference between magma and lava
A) there isn’t a difference, they are just two names for liquid rock- Lava is liquid rock above the surface of the Earth, and magma is liquid rock below the surface of the earth .
B) Magma and lava are two different matter. Lava is hot, liquid rock; magma is hot, soft, solid rock
C) Magma and Lava are different temperatures- magma is hot, and lava is cold
Answer:
A
Step-by-step explanation:
MAGMA is below surface
LAVA is whats above surface
7th grade help me plzzzzz
Answer:
fifteen, "number sentence"
Step-by-step explanation:
5 + 5 +5 = 15
The y-intercept of any straight non-vertical line refers to the y-value of the point where the line crosses the y-axis - that is , where the x-coordinate is zero.
This can be (choose all that apply)
Group of answer choices
the change of the y-coordinates divided by the change in the x-coordinates
be always the location of the line in the xy coordinate system-that is, where the line hits the y-axis.
always be the location of the line in the xy coordinate system where the line hits the x-axis
the initial value of the output variable when the input variable is time. The y-intercept has an x-coordinate of zero, so if the input variable is time, the y-intercept is referred to as the starting value.
Answer:
see below
Step-by-step explanation:
Answer choices:
A. the change of the y-coordinates divided by the change in the x-coordinates
slopeB. be always the location of the line in the xy coordinate system-that is, where the line hits the y-axis.
y-interceptC. always be the location of the line in the xy coordinate system where the line hits the x-axis
x-interceptD. the initial value of the output variable when the input variable is time. The y-intercept has an x-coordinate of zero, so if the input variable is time, the y-intercept is referred to as the starting value.
y-interceptSheldon needs to buy 9 gallons of ice cream for a family reunion. The table shows the prices for different
sizes of two brands of ice cream.
View Exal
Step-by-
Cold Farms
Sweet Dreams
Price of small size
$4.50 for 1 pint
$2.25 for 1 quart
Price of large size
$8.50 for 1 quart
$5.50 for 1 gallon
Video Tut
Textbook
Which size container of Cold Farm ice cream is the better deal for Sheldon? Complete the explanation to
justify your answer.
Print
72 pints of Cold Farm ice cream cost $[ and 36 quarts of Cold Farm ice cream cost $
(select) size container is the better deal for Sheldon.
The
9514 1404 393
Answer:
$324 for 72 pints$306 for 36 quartslarger size is better dealStep-by-step explanation:
The cost of 72 pints is 72 times the cost of 1 pint:
72 × $4.50 = $324.00 . . . cost of 72 pints
The cost of 36 quarts is 36 times the cost of 1 quart:
36 × $8.50 = $306.00 . . . cost of 36 quarts
__
The price for quart containers is lower, so the larger size is the better deal.
y = 6x -14 & y = -8x
Answer:
x = -1
Step-by-step explanation:
y = 6x - 14 y= -8x
6x-14 = -8x
- 6x
-14 = 14x
x = -1
HELP PLEASE!!
“I think of a number, double it, and add twelve. My answer is 54.” What number am I thinking of?
Answer:
21
Step-by-step explanation:
21 + 21 = 42
42 + 12 = 54
so 21 is your answer
Answer:
21.
Step-by-step explanation:
For questions like this, it's easiest to work your way backwards from the answer to get the original number.
In this case, you subtract 12 from 54, which gives you 42 (54-12=41)
Then, you divide by 2, the opposite of "doubling". 42 ÷ 2 = 21.
Since there are no other operations, your original number is 21.
To confirm, just go through the problem again starting with 21 and seeing if you get to 54.
21, doubled (42), add 12 = 54.
Which axis is the vertical (up-down) one?
Answer:
y is the vertical, x is the horizontal