The vector function is, r(t) = [tex]\bold{ < t,2t^2,9t^2+4t^4 > }[/tex]
Given two surfaces for which the vector function corresponding to the intersection of the two need to be found.
First surface is the paraboloid, [tex]z=9x^2+y^2[/tex]
Second equation is of the parabolic cylinder, [tex]y=2x^2[/tex]
Now to find the intersection of these surfaces, we change these equations into its parametrical representations.
Let x = t
Then, from the equation of parabolic cylinder, [tex]y=2t^2[/tex].
Now substituting x and y into the equation of the paraboloid, we get,
[tex]z=9t^2+(2t^2)^2 = 9t^2+4t^4[/tex]
Now the vector function, r(t) = <x, y, z>
So r(t) = [tex]\bold{ < t,2t^2,9t^2+4t^4 > }[/tex]
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What is the area of the semicircle? Use 3.14 for pi. 22cm
hi
area of circle is π* radius²
as radius is half diameter, and as diameter is 22 , so radius is 22 /2 = 11 cm
so area is 11²π and 11² = 121 then area is 121π
as it is say to use 3.14 for pi , then 121*3.14 = 379.94
but 379.94 is the area of the whole circle , and we only have half.
so : 379.94 / 2 = 189.97
area of semi circle is 189.97
need help like rn pls!!!
Answer:
x = 3
Step-by-step explanation:
Separate | 2 + x | = | x - 8 | into 2 possibilities
2 + x = x - 8
2 + x = -x + 8 (right side's signs are swapped)
Solve the equations:
Top equation results in no solution as the x's cancel out.
2 + x = -x + 8
2x = 6
x = 3
| 2 + 3 | = | 3 - 8 |
| 5 | = | -5 |
5 = 5
This is the correct solution.
Let's solve the problem,
→ |2 + x| = |x - 8|
→ 2 + x = -(x - 8)
→ 2 + x = -x + 8
→ x + x = 8 - 2
→ x = 6/2 = 3
Hence, the value is 3.
please help me im begging ANYONE
Answer:
B
Step-by-step explanation:
Answer B is the result of simplifying
Evaluate the function when x= -4, -2, -1, 1/2, and 2
, and 2.
g(x) =
-x+4, if x < -1
3,
if -1
-2x5, if x ≥ 2
When x = -4, f(x) = ¯
When x = -2, f(x) =
The values of the functions are:
a. When x =-4 then f(x) = -x+4
b. When x = -2 then f(x) = -x+4
c. When x = -1 then f(x) = -x+4
d. When x=1/2 then f(x) = 3
e. When x = 2 then f(x) = 2x-5
Given, g(x) = {-x+4 , if x≤-1
3 , if -1≤x<2
2x-5, if x≥2 }
a. when x = -4, f(x) = ?
-4 comes under the condition x≤-1.
therefore, when x=-4 ⇒ f(x) = -x+4
f(-4) = -4+4 = 0
b. when x=-2, f(x)= ?
Again -2 comes under the condition if x≤-1
therefore when x=-2 ⇒ f(x) = -x+4
f(-2) = -2+4 = 2
c. when x=-1, f(x) = ?
-1 comes under the condition if x≤-1
therefore, when x=-1 then f(x) = -x+4
f(-1) = -1+4 = 3
d. when x=1/2 , f(x) = ?
1/2 comes under the condition, if -1≤x<2
therefore, when x=1/2 then f(x) = 3.
e. when x=2, f(x) = ?
2 comes under the condition, if x≥2
therefore, when x=2 then f(x)= 2x-5.
hence we get the required results of the given functions.
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a swimming pool is 20m wide and has a diagonal length of 52m. how much shorter is it than a 50m long pool?
graph the line y=-1/3+3
If the sum of squares for a sample containing 101 items equals 500, what is the standard deviation? 5.00 4.95 2.24 2.22
The standard deviation is 2.24 if the sum of squares for a sample containing 101 items equals 500 option (C) is correct.
What is the standard deviation?It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.
[tex]\rm SD = \sqrt{\dfrac{ \sum (x_i-X)^2}{n-1}[/tex]
SD is the standard deviation
xi is each value from the data set
X is the mean of the data set
n is the number of observations in the data set.
∑(x(i) - X)² = 500
n = 101
SD = √(500/101-1)
SD = √5
SD = 2.236 ≈ 2.24
Thus, the standard deviation is 2.24 if the sum of squares for a sample containing 101 items equals 500 option (C) is correct.
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Which equation represents the relation that is shown in the graph?
Cost of Buying Comic Books
On a coordinate plane, a graph titled Cost of Buying Comic Books has number of issues on the x-axis and total cost on the y-axis. A line goes through points (0, 0), (1, 3.5), (2, 7).
y = 7/2x represents the relation that is shown in the graph.
Here the line goes through points (0, 0), (1, 3.5), (2, 7).
This means that these points must satisfy the equation of the line.
Let us, check each equation one by one
A. y = x + 2/7
Here if we take x = 0,
y = 0 + 2/7
y = 2/7
Thus, (0,0) does not satisfy and hence, we eliminate this option.
B. y = x + 7/2
Here if x = 0
y = 7/2
Thus, again (0,0) does not satisfy and hence, we eliminate this option.
C. y = 2/7 x
Here, if x = 0
y = 0
Hence, (0,0) satisfies.
if x = 1
y = 2/7
or y = 0.28
Thus, (1, 1.35) does not satisfy and hence, we eliminate this option.
D. y = 7/2x
Here, if x = 0
y = 0
Hence, (0,0) satisfies.
if x = 1
y = 7/2
or y = 3.5
Hence, (1, 1.35) satisfies.
if x = 2
y = (7/2)(2)
y = 7
Hence, (2, 7) also satisfies.
Thus, y = 7/2x represents the relation that is shown in the graph.
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Your question was incomplete. Check for full content below-
Which equation represents the relation that is shown in the graph?
Cost of Buying Comic Books. On a coordinate plane, a graph titled Cost of Buying Comic Books has number of issues on the x-axis and total cost on the y-axis. A line goes through points (0, 0), (1, 3.5), (2, 7).
y = x + 2/7
y = x + 7/2
y = 2/7 x
y = 7/2x
Directions: Determine whether each relation is a function. Explain your answer.
Just need 16-18
From the rule for when a relation represents a function, we have that:
16) Is not a function.
17) Is a function.
18) Is not a function.
When does a relation represents a function?A relation represents a function when each value of the input is mapped to only one value of the output.
For this problem, we have that:
In item 16, input 5 is mapped to outputs 2 and 4, hence it is not a function.In item 17, each input is mapped to only one output, hence it is a function.In item 18, input -2 is mapped to outputs 13 and 15, hence it is not a function.More can be learned about relations and functions at https://brainly.com/question/12463448
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solve for h pleas
A=1/2bh
h = 2A/b
An equation is a group of expressions formed by using arithmetic operations, along with an equality sign.
Here, we are given an equation, A = 1/2bh
As we are not given any values for any of the variables, we can find the value of h in terms of A and b only.
To do this, we keep h on one side and take all the other terms to the other side of the equation.
A = 1/2bh
Multiplying both sides by 2,
⇒ 2A = 2/2bh
2A = bh
now, dividing both sides by b,
2A/ b = bh/b
2A/b = h
h = 2A/b
Thus, the value of h is 2A/b
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what is 3000 divided by 40 with long division??
3000 ÷ 40 =
75 ⇐ Quotient
――――
40)3000 ⇐ Dividend
280
---
200
200
3000 divided by 40 is equal to quotient of 75 with no remainder.
To perform long division for 3000 divided by 40, Set up the long division format.
Determine how many times 40 can go into the leftmost digit of 3000 (which is 3).
The answer is 75. Write 75 on top of the division bar.
Now, subtract 3000 - 3000 to get the remainder.
The remainder is 0.
Hence, 3000 divided by 40 is equal to 75.
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can someone solve this please, thank you
Answer:KIH=18
Step-by-step explanation:
4x+3+4x+3=12x
X=1.5
4(1.5)+3=9
4(1.5)+3=9
12(1.5)=18
In mapping diagram D, what is the range?
The range of the relation that is represented in the mapping shown in the diagram attached below is: {3, 5, 11, 21}.
What is the range of a Relation?If we are given a mapping that represents a relation, the input values (x-values) make up the domain of the relation while the output values (y-values) make up the range of the relation.
In the mapping shown in the diagram attached below, we have the following:
The domain of the relation is: {-1, 0, 1, 2, 3}
The range of the relation is: {3, 5, 11, 21}
Thus, we can conclude that, the range of the relation that is represented in the mapping shown in the diagram attached below is: {3, 5, 11, 21}.
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Solve the equation. b+9=13 Enter the solution for the variable b in the box. b =
Answer: I think its 4
Step-by-step explanation: because 4+9=13
el precio de un terreno rectangular es $8736. si su largo es 17,50 m y su ancho, 15,60 m , halla el precio del metro cuadrado...
El precio unitario del terreno rectangular es $ 32 por cada metro cuadrado.
¿Cómo determinar el precio por cada metro cuadrado?
Tenemos un terreno rectangular con dimensiones y costo total conocido. El área de un rectángulo (A), en metros cuadrados, es igual al producto de su largura (l), en metros, y su anchura (a), en metros, cuya fórmula se presenta a continuación:
A = a · l
El precio del metro cuadrado se obtiene dividiendo el precio del terreno por su área:
A = (17.50 m) · (15.60 m)
A = 273 m²
c = C / A
c = 8736 / 273
c = $ 32 / m²
El precio unitario del terreno rectangular es $ 32 por cada metro cuadrado.
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I need someone to fill in the blanks and and answer the other questions.
1) This is an arithmetic sequence and the complete sequence is;
5, 10, 15, 0, 25, 30, 35,....
2)This is a geometric sequence and the complete sequence is given as;
20, 10, 5, 2.5, 1.25, .....
3) This is an arithmetic sequence and the complete sequence is given as; 2, 5, 8, 11, 14, 17, .....
4) This is an arithmetic sequence and the complete sequence is given as; 30, 24, 18, 12, 6,.....
How to find the sequence terms?1) The sequence is given as;
5, 10, 15, ___, 25, 30, _____
This is an arithmetic sequence with the formula;
a_n = 5 + (n - 1)d
In this case, the common difference is;
d = 10 - 5 = 5
The complete sequence is;
5, 10, 15, 0, 25, 30, 35,....
2)The sequence is given as;
20, 10, ___, 2.5, _____, .....
This is an geometric sequence with the formula;
a_n = 20r^(n - 1)
In this case, the common ratio is;
r = 10/20 = 1/2
The complete sequence is given as;
20, 10, 5, 2.5, 1.25, .....
3)The sequence is given as;
2, 5, 8, ___, 14, _____, .....
This is an arithmetic sequence with the formula;
a_n = 2(n - 1)d
In this case, the common difference is;
d = 5 - 2 = 3
The complete sequence is given as;
2, 5, 8, 11, 14, 17, .....
4) The sequence is given as;
30, 24, ___, 12, 6,.....
This is an arithmetic sequence with the formula;
a_n = 30(n - 1)d
In this case, the common difference is;
d = 24 - 30 = -6
The complete sequence is given as;
30, 24, 18, 12, 6,.....
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Regular insulin is ordered iv at 7 units/hour. the iv bag contains 100 units of regular insulin in 100ml of d5w. the iv rate should be how many ml/hr? (round to the nearest whole number
The iv (insulin rate) rate should be 7 ml/hr.
Here,
Regular insulin is ordered iv at 7 units/hour.
The iv bag contains 100 units of regular insulin in 100ml of d5w.
We have to find the iv rate.
What is insulin rate?
Basal insulin rate is the rate at which an insulin pump provides small, “background” doses of fast-acting insulin.
Now,
Regular insulin is ordered iv at 7 units/hour.
The iv bag contains 100 units of regular insulin in 100ml of d5w.
The insulin rate in ml/hr = ( 7 units / 1 hr ) * (100 ml / 100 units) = 7 ml/hr
So, The iv (insulin rate) rate should be 7 ml/hr.
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Cross braces help keep the deck posts straight. Find the measure of each angle.
Angle 5 = 180 - 146 = 34
Angle 6 = 146 since vertical angles are congruent
Angle 7 = 34 since vertical angles are congruent, or you could say 180-146 = 34 again. Any pair of adjacent angles add to 180. All four angles add to 360.
Evaluate the following expressions, assume the following declarations: int x = 4; int y = 9 / 2; int num = 6; num *= x y; what is the value of the num after expression is evaluated?
The value of the num will be 18 after the expression is evaluated.
What is an expression?Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that int x = 4; int y = 9 / 2; int num = 6; num *= x y; the value of num after the evaluation of the expression will be:-
num = x y
num = [ ( 4 x ( 9 / 2 ) ]
num = 9 x 2
num = 18
Therefore, the value of the num will be 18 after the expression is evaluated.
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(8.41 x 10^-5) - (7.9 x 10^-6)
Answer:
7.62×10^-5
Step-by-step explanation:
Answer: 0.000076
Step-by-step explanation:
8.41(10^-5) - 7.9(10^10-6)
= 8.41 (1/100000) - 7.9(10^-6)
= 0.000084 - 7.9(10^-6)
= 0.000084 - 7.9(1/000000)
= 0.000084 - 0.000008
= 0.000076
The solution set of x^2+12=21
The solution set of the equation is: x = -3, x = 3.
How to Find the Solutions to an Equation?Given the equation, x² + 12 = 21, the solution set is the possible value of x that will make the equation true. To find the values of x, do the following as shown below:
x² + 12 = 21
Subtract 21 from both sides of the equation
x² + 12 - 21 = 21 - 21
x² + 12 - 21 = 0
x² - 9 = 0
Find the difference of the two squares
(x + 3)(x - 3) = 0
x = -3
x = 3
Therefore, the solution set of the equation is: x = -3, x = 3.
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f(m) = 3m^2 - 5
find (-2)
Answer:
f(- 2) = 7
Step-by-step explanation:
assuming you mean find f(- 2)
substitute x = - 2 into f(m)
f(- 2) = 3(- 2)² - 5 = 3(4) - 5 = 12 - 5 = 7
Answer:
7
Step-by-step explanation:
Plug in -2 for m:
f(m)=3(-2)^2-5
Simplify:
(-2)^2 or (-2)(-2)=4
f(m)=3(4)-5
3x4=12
f(m)=12-5
f(m)=7
1.) If 2/5 of x is 20 what is 3/10 of x?
2.) if 2/3 of y is 24 what is 5/6 of y?
Answer:
1. 15 2. 30
Step-by-step explanation:
1. (2/5)x = 20
20/(2/5) = x
x = 50
50 × (3/10) = 15
2. (2/3)y = 24
24/(2/3) = y
y = 36
36 × (5/6) = 30
Can you determine any purpose why these concepts are present in the pictures?
The purpose why these concepts are present in the pictures is to develop imagination power among students.
As you imagine more, your mind becomes stronger and you have greater mental control. Innovation requires a strong imagination. If you succeed in what you set out to do, the same individuals who now accuse you of daydreaming will begin to aspire to be like you. Keep your aspirations high and your imagination expanding.
Imagination is a potent brain stimulant because it forces you to think differently than most people do. Your imagination can help you come up with scenarios that most effectively handle difficulties, even though your brain might classify them as being unexpected.
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Enjoys town about 33 out of 100 cats are black if joe walks by 21 cats in one week predict how many of those cats are black
If joe walks by 21 cats in one week then 7 cats are black.
Percentage can be defined as a ratio that is expressed as fraction of 100.
For Example , 1%= 1/100
Given that Joe's town there are 33 black cats
Total cats = 100.
The percentage of black cats in town =[tex]\frac{33}{100}[/tex]=33%
Number of cats joe sees in a week =21
Number of black cats joe sees in a week will be = 33% of 21
[tex]=21*\frac{33}{100} \\ \\ =\frac{693}{100} \\ \\ =6.93\\ \\[/tex]= approx. 7
Therefore , If joe walks by 21 cats in one week then 7 cats are black.
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Bonnie made 7 pies. there were 6 slices in each apple pie and 7 slices in each peach pie. if bonnie made 44 slices of pie in total, how many of each pie did she make?
She make 5 apple pie and 2 peach pie.
In the given statement is:
Bonnie made 7 pies. there were 6 slices in each apple pie and 7 slices in each peach pie. if Bonnie made 44 slices of pie in total.
To find the how many of each pie did she make
Now, According to the question :
Let start the solution
Total number of slices made by Bonnie is 44
Let Number of apple pies be x
and, number of peach pies is (7 - x) ............(1)
Pieces of an apple pie is 6x
Pieces of peach pie = 7 (7 - x)
Calculation
6x + 7(7 - x) = 44
6x + 49 -7x = 44
-x = 44 - 49
-x = -5
x = 5
Put the value of x in equation (1)
7 - x = 7 - 5 = 2
She make 5 apple pie and 2 peach pie.
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i need help please step by step hurry
Answer:
Step-by-step explanation:
10 x 21 - 61
210 - 61= 149
18 x 8 + 5
144 + 5= 149
21 + 10= 31
(Don't need to right this part down)
Since the 149 is parallel or the same size on the opposite side, it should be the same answer
Subtract:
-2 - 6 =
Submit
A
35. The sum of the angles of a polygon is 1620°. Calculate the number of sides that polygon has.
Answer:
11
Step-by-step explanation:
total angle of a polygon formula:
180 * (n-2) n is no. of sides
180 * (n - 2) = 1620
1620/180 = n-2
9 = n - 2
9 + 2 = n
n = 11
MATHMATICAL CONNECTIONS (IM2) : Write a polynomial that represents the area of the square
[see image]
Answer:
[tex]49n^2-70n+25[/tex]
Step-by-step explanation:
Since one side of the square is (7n-5), the area of the square must be [tex](7n-5)^2[/tex]. Simplifying we get [tex]49n^2-70n+25[/tex].
