The length of the arc of the curve from point p to point q of the equation x2 = (y − 4)3 as calculated is 8 units.
as to calculated the length of the arc we will differentiate the given equation x² = (y-4)³ with respect to y
=> 2x = 3( y - 4 )²
=> 2x = 3( y² -8y + 16)
=> 2x = 3 y² - 24y + 48
=> 3 y² - 24y + 48 - 2x = 0
now , x = 5 - 1 = 4
y = 8 - 1 =7
Therefore, length = 3 x 8² - 24 x 8 + 48 - 2x 4 = 0
=192 - 192 - 8 = -8
On taking modulus we get the length as 8 units.
To learn more about differentiation
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Answer:
x ≥ 754 -6my -xStep-by-step explanation:
You have to realize that the absolute value function will change the sign of its argument only if that argument is negative.
108. |x -7| = x -7 . . . . . true for x-7≥0
x ≥ 7 . . . . makes the statement true
__
1a. When m < 9, the value 6m is less than 54, so 6m-54 < 0. That means the absolute value function changes the sign of its argument:
54 -6m . . . . . simplified form for m < 9
__
1b. |y -x| = y -x . . . when y > x, the argument of the absolute value is positive
A carver begins work on the following block of granite. What is the volume of the granite? Be sure to include units.
Answer: volume of rectangular prism is calculated by length x width x height. So 10 x 5 x 20 = 1000 centimeter cubes
Step-by-step explanation:
HELP ASAP!!!
What is the surface area of a number cube on which each edge has a length of 11 millimeters? (Hint: On a cube, the length, width, and height have the same measure.)
726 mm2
1331 mm2
242 mm2
132 mm2
Answer:
Its 726 mmSQ
Step-by-step explanation:
the first responce is just doing for points
Samantha made goodie bags for Valentines day. They were filled with choclates and candy.The cost of the chochlate was $2.50 per pound and the cost of the candy was $3.oo per pound. Samantha bought 15 pounds of choclate and candy for a total of 40 dollars. How much did Samantha buy
Answer:
We bought 10 Pounds of Chocolate, and 5 Pounds of Candy.
Step-by-step explanation:
Hey!
==================================================================
Let's make a chart!
Lbs Price Cost
Chocolate | x | 2.50 | 2.50x
Candy | 15-x | 3.00 | 3.00(15-x)
Equation:
2.50x + 3.00(15-x) = 40
--------------------------------------------------------------------------------------------------------------
⇒ 2.50x + 3.00(15-x) = 40
-Distribute 3 over 15-x
⇒ 2.50x + 45 - 3x =40
-Combine Like Terms
⇒ -0.5x + 45 = 40
-Subtract 45 from both sides.
⇒ -0.5x + 45 = 40
-45 -45
--------------------------
⇒ -0.5x = -5
-Divide by -0.5 on both sides
⇒ -0.5x/-0.5 = -5/-0.5
⇒ x = 10
That means we bought 10 Pounds of Chocolate.
---------------------------------------------------------------------------------------------------------------Since Candy was 15-x, we can Substitute 10 as x, and Solve:
⇒ 15 - 10
⇒ 5
That means we bought 5 Pounds of Candy.
--------------------------------------------------------------------------------------------------------------
We bought 10 Pounds of Chocolate, and 5 Pounds of Candy.
==================================================================
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Work out the area of this quarter circle of radius 8 cm.
Give your answer in terms of pie .
Answer:
[tex] 16\pi \: {cm}^{2} [/tex]
Step-by-step explanation:
[tex]A = \frac{90 \degree}{360 \degree} \times \pi ({8})^{2} \\ \\ A = \frac{1}{4} \times \pi \times 64 \\ \\ A = \frac{1}{4} \times 64\pi \\ \\ A =16\pi \: {cm}^{2} [/tex]
You are entering a fitness competition at school. Students train for several weeks to win prizes for different competition. 2) Last years winner set a school record by completing 37 sit-ups. You need to find out how many weeks you need to train to beat this record. Part B: Write the inequality and graph the solution. How many weeks will it take you to break the record?
Answer:
first you divide 2by 37 that will be the answer
Find the product
Give your answer in simplest form.
3/5x12
Bonus: Jenny decides to plant all tomato plants in her garden. When full grown, the plants will need a 2.5 ft by 2.5 ft
space. How many tomato plants can Jenny plant in her garden? It packages of seeds come with 20 seeds and cost $4.00
each, how much will she spend in seeds?
find the mean of the data set down below. 7, -3, 6, -2, 8, 7, -4, 5, 3
A triangle has an area of 230.86 square inches.the height of the triangle is 23.8 inches .what is the length of the base of the Triangle
Answer:
The length of the base of the triangle is 19.4 inches.
Torrence wants to remodel apartment . The first thing he is Going to do is replace the floors in the living space and kitchen .
hello please help thanks
Answer: transpiration
Step-by-step explanation:
Answer: precipitation
Step-by-step explanation: since that’s when something is fallen from the sky such as rain snow or hail
The volume of a rectangular prism, in cubic inches, is given by the expression
x^3+3x^2-4x+7. The volume of the smaller prism is given by the expression
5x^3-6x^2-6x-17. How much great is the volume of the larger rectangular prism is than the smaller prism?
Answer:
-4x³ + 9x² + 2x + 24
Step-by-step explanation:
To find how much great is the volume of the larger rectangular prism than the smaller prism, we need to subtract
Volume of larger rectangular prism - Volume of smaller prism =
= x³ + 3x² - 4x + 7 - (5x³ - 6x² - 6x - 17)
To remove the parenthesis,multiply each term of the smaller prism by (-1)
= x³ + 3x²- 4x + 7 - 5x³ + 6x² + 6x + 17
= x³ -5x³ + 3x² + 6x² - 4x + 6x +7 + 17 {Combine like terms}
= -4x³ + 9x² + 2x + 24
HELPPPPPOO MEEEEE 2.0
Answer:
I think the answer would be 60
Hope it was helpful .
Step-by-step explanation:
400 × 0.15 = 60
Select the statement that describes this expression: 8 + fraction 1 over 2 x (6 − 2) − 1. (2 points)
8 more than half the difference of 2 and 1, and then subtract 6
Add 8 to half the difference of 6 and 2, then subtract 1
The sum of 8 and fraction 1 over 2 times 6 plus 2 minus 1
1 less than half of 6 plus the sum o
Answer:
Add 8 to half the difference of 6 and 2, then subtract 1.
Answer: Add 8 to half the difference of 6 and 2, then subtract 1
Step-by-step explanation: 8 + 1/2(6 - 2) - 1
Therefore, the statement that describes this expression from the options given correctly is :
Add 8 to half the difference of 6 and 2, then subtract 1
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Write an expression that represents the
perimeter of this picture frame.
Answer:
6x+2
Step-by-step explanation:
The perimeter is all of the sides added together.
We know that in a rectangle, sides that are parallel to each other are the same.
So, to find the expression that represents the perimeter, you have to multiply 2x+1 by 2 and x by 2 and add both of those together.
(2*(2x+1))+(2*(x))
(4x+2)+(2x)
4x+2+2x
6x+2
Help.........................
What is the probability of scoring more than 3
Answer:
3 what?
Step-by-step explanation:
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Answer:
A=59 because it is opposite of E
B= 39 because 180-141=39
C=82 because 180-39-59=82
Answer:
Step-by-step explanation:
5. Find the value of x.
B
90°
9
А
Directions: Solve for x.
1.
Answer:
x = 7
Step-by-step explanation:
28 - 21 = 7
Evaluate: (-2)5
10
32
-10
-32
Answer:
-32
Step-by-step explanation:
-2 x -2 x -2 x -2 x -2 = -32
2x2 – 5xy – 6 + 4x2 – 3xy + 1 – x2y
Answer:
− x 2 y − 8 x y + 6 x 2 −5
Step-by-step explanation:
was i support to simplify? bc that's what i did
Read number 5 and help me out plz add an explanation
Answer:
the new values could be 3 and one half and 5 and one half.
Step-by-step explanation:
This is correct because they are asking for a new one. Also, one that has 3 as a difference in between.
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Help fill in the empty boxes
Answer:
Hey mate........
Step-by-step explanation:
This is ur answer.......
A = 6B = 10C = 18D = 33Hope it helps!
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7. The table shows the cost for ordering a certain number of pieces of chicken.
What is the value of x if the cost is proportional to the number of chicken
pieces ordered?
Pieces of Chicken Ordered
2
3
4
6
Cost
$3.00
$4.50
$6.00
A. $4.00
B. $9.00
C. $1.50
D. $6.67
The number line represents 1 unit. What is the distance from 0 to point C on the number line?
A) 5/2 units
B) 4/5 units
C) 3/10 units D) 4/10
please help i don't know what to do
Answer:
The answer is A .
Step-by-step explanation:
Hope it helps u , good luck ^.^
Two similar cylinders have heights of 3 cm and 6 cm respectively. If the volume of the smaller cylinder is 30 cm3, find the volume of the larger cylinder.Required to answer. Single line text.
Answer:
the ans is
Step-by-step explanation:
V=πr2h=π·32·6≈169.646
19. y = 3x? - 12x
Find the discrimanite of each equation.Then,determine the number of solution
need help with this step by step please and thank you
Answer: y=−9x
x= y/9
Step-by-step explanation: