Answer:
30.113
Step-by-step explanation:
r(t) = (t³, 2 sin t)
The distance traveled is the length of the path (arc length):
L = ∫ₐᵇ √((dx/dt)² + (dy/dt)²) dt
L = ∫₁ᵖⁱ √((3t²)² + (2 cos t)²) dt
L = ∫₁ᵖⁱ √(9t⁴ + 4 cos²t) dt
Using a calculator:
L ≈ 30.113
Notice that distance is not the same as displacement. If we wanted to find the displacement:
r(π) = (π³, 0)
r(1) = (1, 2 sin 1)
Δr = √((π³ − 1)² + (0 − 2 sin 1)²)
Δr ≈ 30.053
what is s+53=g so g=68 so how old is sweet age add
Answer:
s = 15
Step-by-step explanation:
Using the given information to solve for s, the work would look something like this:
s + 53 =g, g=68
s + 53 = 68 (Subtract 53 from both sides to get s by itself)
53 - 53 = 0, 68 - 53 = 15
s = 15
Therefore, s is equal to 15
Hope this helps! Have a good rest of your day!
Answer:
15
Step-by-step explanation:
This is very simple, first we write the equation, s+53=g, and plug 68 into "g", so now we have s+53=68. Subtract both sides, s+53-53=68-53, and this equals 15 years of age
y = 2 - 2
y = 3x +4
Is (4, 2) a solution of the system?
Choose 1 answer:
А)
Yes
B
No
Answer:
B. No
Step-by-step explanation:
In order to see if (4, 2) is a solution, we have to plug 4 in for x and 2 in for y in the equations. If it's a true statement, then we know that the point is a solution.
One of the equations is y = 3x + 4. Plug in 4 for x and 2 for y:
y =? 3x + 4
2 =? 3 * 4 + 4
2 =? 12 + 4
2 ≠ 16
Thus, we know that (4, 2) is not a solution and the answer is B.
~ an aesthetics lover
The table gives the mass of liquids with a volume of 5 cm3. A 2-column table with 4 rows. Column 1 is labeled liquid with entries water, glycerin, milk, olive oil. Column 2 is labeled Mass (grams) with entries 5, 6.3, 5.15, 4.9. Density is the ratio of mass to volume. Density = mass volume What is the density of milk? Use the drop-down menu to complete the statement. The density of milk is StartFraction grams Over centimeters cubed EndFraction.
The answer would be 1.03! hopes this helps!
Answer:
1.03
Step-by-step explanation:
i did the assignment on edg 2020/2021
Which steps could be part of the process in algebraically solving the system of equations, y + 5x = x2 + 10 and y = 4x –
10? Select two options.
Oy = x2 + 5x + 10
Oy + 5x = x2 + 10 + 4x – 10
0 0 = x2 - 9x
0 0 = x2 - 9x + 20
One x-value of a solution to the system is 4.
Answer:
0 = x2 - 9x + 20
Step-by-step explanation:
y + 5x = x² + 10 Simplify this equation
- 5x - 5x
y = x² - 5x + 10
Set both equations equal to each other since they both equal y
x² - 5x + 10 = 4x - 10
-4x - 4x
x² - 9x + 10 = -10
+ 10 + 10
x² - 9x + 20 = 0
If this answer is correct, please make me Brainliest!
√g+5=3d-2
Solve for g
Answer: [tex]g=(3d-2)^2-5[/tex]
Step-by-step explanation:
[tex]\sqrt{g+5}=3d-2[/tex]
To get rid of the square root, we can square both sides of the equation.
[tex](\sqrt{g+5})^2=(3d-2)^2[/tex]
[tex]g+5=(3d-2)^2[/tex]
Subtract 5
[tex]g+5-5=(3d-2)^2-5\\g=(3d-2)^2-5[/tex]
What are the answers on the sheet to the math paper "What did the teenage yardstick say to its parents? "
Answer:
I want to stand on my own three feet
Step-by-step explanation:
Mr. Mole's burrow lies 5 meters below the ground. He started digging his way deeper into the ground, descending 3 meters each minute.
Graph the relationship between Mr. Mole's elevation relative to the ground (in meters) and time (in minutes).
Answer is that Mr mole goes 3 each minute for each minute add on those 3 as you add on those 3 write it down counting how many then you know the time and the meters hes been digging
1. Lily is paid $5.25 per hour for raking leaves.
What is the Dependent Variable:
What is the Independent Variable:
The Rate of Change:
The Initial Value:
The Equation:
Direct / Partial:
5.25 per hour dependent
independent raking leaves
Simplify.
(-9 - 8i) - (3 + 2i)
Answer:
-12-10i
Step-by-step explanation:
(-9 - 8i) - (3 + 2i)
First, remove parantheses.
-9-8i-3-2i
Combine like terms
-9-3-8i-2i
Solve it!
-12-10i
Solve using substitution! Please help!
I hope this helps you
Find the cosine of angle A (written as a fraction)
Answer: 0.92
Step-by-step explanation: cos a = side adj / hypotenuse
Cos a = 12/13 ~ 0.92307
At a furniture store there is a sale on kitchen tables and chairs. Single chairs sell $80 each. If a customer a set of 4 chairs, the total price would. be $250. What is the percent savings on the 4-chair set? Round to the nearest whole percent.
Answer:
4%
Step-by-step explanation:
1% of 250 is $2.50. Times 4 is $10. The difference between 240 and 250 is 10.
Answer:
235
Step-by-step explanation:
Halla el término trigésimo de la progresión aritmética de diferencia 3 y primer término 11. Halla el término general de la progresión y la suma de los cuarenta primeros términos
Answer:
13th term = 47
General term: Tn = 11 + 3(n-1)
Sum of the first 40 terms = 2780
Question:
Find the thirtieth term of the arithmetic progression of difference 3 and the first term 11. Find the general term of the progression and the sum of the first forty terms.
Step-by-step explanation:
Common difference (d)= 3
First term = a = 11
Find attached the solution of problem.
BE5-3 Cha Company buys merchandise on account from Wirtz Company. The selling price of the goods is $780, and the cost of the goods is $470. Both companies use perpetual inventory systems. Journalize the transaction on the books of both companies.
Answer:
In the books of Wirtz, the selling party, the required entries are
Debit Accounts receivable $780
Credit Revenue $780
Being entries to recognize sales revenue on account
Debit Cost of sales $470
Credit Inventory $470
Being entries to recognize the cost of items sold
In the books of Cha Company
Debit Inventory $780
Credit Accounts payable $780
Being entries to record cost of inventory purchased
Step-by-step explanation:
When a company makes a sale, the effect of such sale is dual in the books of the company being that the company would first recognize revenue and then recognize the cost of items sold.
To recognize revenue,
Debit Cash/Accounts receivable
Credit Revenue
To record the cost of the item sold
Debit Cost of sales
Credit Inventory
For the party that makes the purchase
Debit Inventory
Credit Cash/Accounts payable
Two datasets arranged in descending order are: {8, x, 4,1) and (9. Y, 5,2). If the medians ofthe two given datasets are equal, what is the value of (y – x)??Answer
The question is missing. The complete question is:
Two datasets arranged in descendind order are: {8,x,4,1} and {9,y,5,2}. If the medians of the two given datasets are equal, what is the value of
(y-x)² ?
Answer: (y-x)² = 1
Step-by-step explanation: Median is the middle term of a data set.
In both datasets, there are an even quantity of number, so, to calculate median, sum the two center values and divide it by 2.
1) To facilitate, arrange it in ascending order:
(1,4,x,8) and (2,5,y,9)
Median of the first:
[tex]\frac{4+x}{2}[/tex]
Median of the second:
[tex]\frac{5+y}{2}[/tex]
As medians are the same:
[tex]\frac{4+x}{2}[/tex] = [tex]\frac{5+y}{2}[/tex]
4+x = 5+y
x - y = 5 - 4
x - y = 1
The question asks for (y-x)², so
y - x = -1
(y-x)² = (-1)²
(y-x)² = 1
Solve the 3x3 system shown below. Enter the values of x, y, and z.
x+2y-x=-3
2x-y+z=5
x-y+z=4
Answer:
x = 1
y = -1
z = 2
Step-by-step explanation:
You have the following system of equations:
[tex]x+2y-z=-3\ \ \ \ \ (1)\\\\2x-y+z=5\ \ \ \ \ \ (2)\\\\x-y+z=4\ \ \ \ \ (3)[/tex]
First, you can subtract euqation (3) to equation (1):
x + 2y - z = -3
-x +y -z = - 4
0 3y -2z = -7 (4)
Next, you can multiply equation (3) by 2 and subtract it to equation (2):
2[ x -y + z = 4]
-2x +y -z = -5
0 -y + z= 3 (5)
You multiply equation (5) by 2 and sum (5) with (4):
2[ -y + z = 3]
3y -2z= -7
y + 0 = -1
Then y = -1
Next, you replace y=-1 in (5) to obtain z:
-(-1) + z = 3
z = 2
Finally, you can replace z and y in the equation (3) to obtain x:
x - (-1) + (2) = 4
x = 1
Answer: x=1 y=-1 z=2
Step-by-step explanation:
Write nine minus the quotient of two and a number x as a expression variable
Answer:
9-(2/x)
Step-by-step explanation:
Solve the system of equations.
−5x+2y=9
y=7x
Answer:
x=1 y=7
Step-by-step explanation:
−5x+2y=9
y=7x
Substitute the second equation into the first
-5x +2(7x) = 9
Distribute
-5x +14x = 9
Combine like terms
9x=9
Divide by 9
9x/9 =9/9
x= 1
Now find y
y = 7(1)
y = 7
Answer:
[tex]x=1\\y=7[/tex]
Step-by-step explanation:
[tex]-5x+2y=9\\y=7x[/tex]
Replace y in the first equation.
[tex]-5x+2(7x)=9[/tex]
Distribute the 2 and combine like terms;
[tex]-5x+14x=9\\9x=9[/tex]
Divide by 9
[tex]x=\frac{9}{9}\\ x=1[/tex]
-----------------------------------------------
After having found x, you can replace it in any of the equations to find y. I'll use the second equation.
[tex]y=7x\\y=7(1)\\y=7[/tex]
which quadrilateral always has diagonals that are congruent but not necessarily perpendicular?
a) parallelogram
b) rectangle
c) rhombus
d) square
Answer:its a rectangle
Step-by-step explanation:
There are 7 campers for every 2 counselors at summer camp. How many counselors are there if there are 84 campers?
Answer:
24 counslers.
Step-by-step explanation:
We can simply break down the equation.
We can start by finding how many times 7 goes into 84. 84/7 is 12. Now their are 12 groups of 7 and their needs to be two at each. All we have to do is multiply 2 by twelve and you've got yourself an answer.
Have A great day! :)
Answer: 24 counselors
Step-by-step explanation: Our first step in this problem is to write down the unit ratio that is involved. In this case, it's campers/counselors.
Next, we set up our proportion.
We know that at this summer camp, there are 7 campers for every 2 counselors so we have 7/2 and we're asked how many counselors are at the summer camp if there are 84 campers so that's 84/x.
Notice that the 84 campers must go on the top of the second ratio because our unit ratio tells us that we put campers over counselors.
Solving from here, we use the means-extremes property
to get (7)(x) or 7x equals (2)(84) or 168.
So we have 7x = 168.
Now dividing both sides of the equation by 7, we find that x = 24.
So, there are 24 counselors for 84 campers at the summer camp.
Joshua just bought a new fish tank. The tank is 14 inches tall and has a radius of 4 inches. How much water can Joshua put in the tank? Use 3.14 for pi. *
A. 703.36 cubic inches
B. 56 cubic inches
C. 224 cubic inches
D. 175.84 cubic inches
Answer:
V = 703.36 in³ (This matches answer option A.)
Step-by-step explanation:
This fish tank has a cylindrical shape. The formula for the volume of a cylinder of radius r and height h is
V = (pi)(r²)(h).
We are told that h = 14 in and r = 4 in. Using 3.14 for pi:
V = (3.14)(4 in)²(14 in) =
V = 703.36 in³ (This matches answer option A.)
The equation for the pH of a substance is pH = -log[H+), where H+ is the concentration of hydrogen ions.
What is the approximate pH of a solution if the concentration of hydrogen ions is 5.0 x 104 moles per
liter?
2.7
3.0
3.3
3.6
Answer:
3.3 :)
Step-by-step explanation:
Answer:
3.3
Step-by-step explanation:
edge 2021
If it takes a person 45 minutes to walk 4 dogs, how long does it take for a person to walk 7 dogs?
Answer:
1 hour, 18 minutes, 45 seconds
Step-by-step explanation:
Let's use a ratio:
dogs : minutes
4 : 45
1 : 11.25
7 : 78.75
78.75 minutes or 1 hour, 18 minutes, 45 seconds.
I need help ASAP. WILL MARK BRAINLIEST.
Answer:
Step-by-step explanation:
706.5
Answer:
706.5
Step-by-step explanation:
I am 95 percent sure this is the right answer
Use the graph of the function y = (x + 3)(x - 2) to find the
solutions of the quadratic equation 0 = (x + 3)(x - 2).
The solutions of the quadratic equation 0 = (x + 3)(x - 2) are
-6 and 0.
4 and 3.
-3 and 2
-2 and 1.
Answer:
Third option (-3 and 2)
Step-by-step explanation:
You do not need graphs for this necessarily. you just have to build two equations:
0=x+3
0=x-2
if you solve them, the results are:
-3 = x
2 = x
Answer:
option 3 is correct that is (-3,2) is the solution.
Step-by-step explanation:
. If they set up their camera 322 meters from the base of the mountain and the mountain is 597 meters high, what angle should he point his camera from the horizantal.
Answer:
the angle required for them to point their camera to the horizontal should be at 61.66°
Step-by-step explanation:
Given that the base of the camera is 322 meters from the horizontal and the height is 597 meters.
We can use the tangent of the trigonometric equation.
tan θ = opposite / adjacent
tan θ = 597/322
tan θ = 1.854
θ = tan⁻¹ (1.854)
θ = 61.66°
Hence, the angle required for them to point their camera to the horizontal should be at 61.66°
Answer:
Step-by-step explanation:
The position of the camera forms a right angle triangle. The horizontal distance from the base of the mountain represents the opposite side of the triangle while the height of the mountain represents the adjacent side of the triangle. To determine the angle, # that he should point his camera from the horizontal, we would apply the tangent trigonometric ratio which is expressed as
Tan # = opposite side/adjacent side
Tan# = 597/322 = 1.85
# = Tan^-1(1.85)
# = 61.61°
if you can help with any of these two or both that would be great ! :)
thanks
Answer:
hmmm not sure
Step-by-step explanation:
try mulitply the numbers
Chuck says that he can draw a cylinder on his polyhedron poster because it has a pair of base that are congruent.Is chuck correct?Explain your reosining.
Answer:
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
Please have a look at the attached photo.
My answer:
1. Chuck wants to draw three-dimensional figures whose lateral faces are rectangles. He says he can draw prisms and pyramids. Do you agree
No, I do not agree because:
The lateral faces of a pyramid are triangles The lateral faces of a prism are rectangles2. Part B. Chuck says that he can draw a cylinder on his polyhedron poster because it has a pair of bases that are congruent.
No, do not agree because:
A cylinder has two congruent bases but it is not a polyhedron while a cylinder has a curved surface when a polyheron has faces that are polygons
Hope it will find you well.
Ben and Tom each take their driving test. The probability that ben and tom will pass is 0.8 and 0.7, respectively. Work out the probability that only one of them will pass their driving test.
Answer:
Pr(only one of them will pass the driving test) = 0.38
Step-by-step explanation:
The probability that Ben will pass = 0.8
Let Pr = pribability
Pr(Ben pass) = 0.8
Pr(Ben fail) = 1 - Pr(Ben pass) = 1-0.8
Pr(Ben fail) = 0.2
The probability that Tom will pass = 0.7
Pr (Tom pass) = 0.7
Pr (Tom fail) = 1 - Pr (Tom pass) = 1-0.7
Pr (Tom fail) = 0.3
Pr(only one pass) = Pr(Ben pass and Tom fail) + Pr (Tom pass and Ben fail)
Pr(only one pass) = (0.8 × 0.3) + (0.7 × 0.2)
Pr(only one pass) = 0.24 + 0.14
Pr(only one pass) = 0.38
Answer:0.38
Step-by-step explanation:
Find the Area of the Triangle. A = 1/2 (b x h)
Answer:
A=1/2(b×h)
divide a half by 12=6
6×4,since 4 is the height=24
Answer:
30 um²
Step-by-step explanation:
BC = √5² - 4²
= √25 - 16
= √9
= 3 um
AC = 12 + 3 = 15 um
A = AC×BD/2
= 15×4/2
= 15×2
= 30 um²
