Let [tex]x=2\cos(t)[/tex] and [tex]y=2\sin(t)[/tex], so that
[tex]x^2 + y^2 = 4\cos^2(t) + 4\sin^2(t) = 4[/tex]
is preserved. Then from the surface equation, we get
[tex]z = xy = 4\cos(t)\sin(t) = 2\sin(2t)[/tex]
The curve of intersection is then given by the vector function
[tex]\vec r(t) = 2\cos(t) \, \vec\imath + 2\sin(t)\,\vec\jmath + 2\sin(2t)\,\vec k[/tex]
Explain how using properties can help you mentally find answers
Let's see a few examples to understand the statement given in the question.
Example 1:
Find the sum of 75.5 + (58.231 + 24.5)
Hence , the sum of 75.2+(57.376+24.8) is 158.231.
75.5 + (58.231 + 24.5)
= 75.5 + (24.5 + 58.231) (using the commutative property of addition)
= (75.5 + 24.5) + 58.231 (using the associative property of addition)
= 100 + 58.231 (by looking at the first two numbers, it is easier to say that the sum is 100.)
= 158.231 (you can write this answer directly without doing any calculation)
Therefore, the sum of 75.2+(57.376+24.8) is 158.231.
Example 2:
Find the product of (25 × 2) × 50
Hence , the product is 2500 .
(25 × 2) × 50
= 25 × (2 × 50) (using the associate property of multiplication)
= 25 × 100
= 2500 ( we can simply add to zeros at the end if an integer number is multiplied by 100.)
Therefore, the product of (25 × 2) × 50 is 2500.
Learn more at:
https://brainly.com/question/11351404
#SPJ9
Activity a1 takes 5 weeks a2 takes 8 weeks and a3 takes 2 weeks. what is the slack of a3?
Slack of a3 is 6 weeks.
What is slack?
Slack variables are variables that are introduced to an inequality constraint in an optimization problem to change it into an equality. An inequality constraint is replaced by an equality requirement and a non-negativity constraint on the slack variable when a slack variable is introduced. In particular, slack variables are employed in linear programming. The slack variable, like the other variables in the augmented constraints, can only have positive or zero values because of the simplex method. A constraint is binding at a certain candidate solution if its associated slack variable is zero because it limits the modifications that can occur after that.
There are two paths through the network: A1, A2 with completion time 5 + 8 = 13; A1, A3 with completion time 5 + 2 = 7. The project completion time is 13. LCT of A3 = 13. LST of A3 = 13 - 2 = 11. EST of A3 = ECT of A1 = 5. Slack of A3 = 11 - 5 = 6.
To know more about slack, visit;
https://brainly.com/question/16914389
#SPJ4
(There are two paths through the network: A1, A2 with completion time 5 + 8 = 13; A1, A3 with completion time 5 + 2 = 7. The project completion time is 13. LCT of A3 = 13. LST of A3 = 13 - 2 = 11. EST of A3 = ECT of A1 = 5. Slack of A3 = 11 - 5 = 6.)
list 1 1/4, 1 2/3, and 11/12 in order form least to greatest
21- to 24-year-olds in the us have the lowest percentage of drivers in fatal crashes with bac levels of .08% or higher.
This statement is False:
"21- to 24-year-olds in the us have the lowest percentage of drivers in fatal crashes with bac levels of .08% or higher."
What do deadly crashes entail?A traffic collision, also known as a motor vehicle collision, car accident, or car crash, happens when a vehicle strikes another vehicle, a pedestrian, an animal, road debris, or another immovable object, like a tree, pole, or a structure.
Exactly what is a nonfatal accident?An injury that is not fatal under this approach is one that results from prolonged exposure to an outside force or substance (mechanical, thermal, electrical, chemical, or radiation) or from submersion. Both deliberate and inadvertent bodily harm may occur.
In a collision, what areas of the body are struck first?Severe injuries are most frequently dealt to the neck, followed by the head, chest, legs, and abdomen/pelvis, for passengers riding on the side of the automobile that was impacted. For those riding in vehicles on the contralateral side of the car, head injuries are most common, followed by chest injuries.
To know more about fatal crashes visit:
https://brainly.com/question/27929282
#SPJ4
2. Which graph represents the solution
of 6 + 3y < 9 or 4y > 3y + 2?
Help please!!!!!
Answer: B.
Step-by-step explanation:
First, we will solve both of these given inequalities for x by isolating the variables.
Given:
6 + 3y < 9
Subtract 6 from both sides of the equation:
3y < 3
Divide both sides of the equation by 3:
y < 1
--
Given:
4y > 3y + 2
Subtract 3y from both sides of the equation:
y > 2
Now, our given inequalities are y < 1 and y > 2. These inequalities are easier to view on the graph. We see that these are not equal to (≥ or ≤), so we will have open circles.
First, we will graph y < 1. We will plot an open circle at y = 1 and then shade to the left of it. Net, we will graph y > 2. We will plot an open circle at y = 2 and then shade to the right of it. This leaves us with answer option B.
help with problem 12
Answer:
A.
Step-by-step explanation:
Due to the absolute value markers on either side of the equation, there will be no negative numbers that will equal f(x). Therefore, the range cannot equal all real numbers, only all positive real numbers.
Two integers, a and b, have a greatest common
actor of 1. If a = 12 and b is greater than 35
but no more than 40, what is the value of b?
The value of the integer of the b is 37,38,39.
According to the statement
We have to find that the value of the integers.
So, For this purpose, we know that the
An integer is a number with no decimal or fractional part and it includes negative and positive numbers, including zero.
From the given information:
Two integers, a and b, have a greatest common actor of 1. If a = 12 and b is greater than 35 but no more than 40.
Then
a=12
35 < b < 40
Now, we use the GCF
then
GCF of a and b = 1
GCF of 12 and 37 = 1
GCF of 12 and 38 = 2
GCF of 12 and 39 = 3 .
So, The value of the integer of the b is 37,38,39.
Learn more about integer here
https://brainly.com/question/12399107
#SPJ9
Solve for X and also angles P,Q,R
Answer:
x = 35°
Q = 87°
P = 58°
R = 35°
Step-by-step explanation:
[tex]x+52+2x-12+x=180[/tex]
[tex]4x+40=180[/tex]
[tex]4x=180-40[/tex]
[tex]x=\frac{140}{4} =35[/tex]
Angle R = 35°
Angle Q = 35 +52 = 87°
Angle P = 2(35) - 12 = 70 -12 = 58°
Hope this helps
Incredible Skating has a family special this weekend: You rent skates for $5
and pay $1 an hour for skating per person. Write an equation, where h
represents the number of hours and C represents the total cost.
Answer:
c=5+1h
Step-by-step explanation:
The equation for where h represents the number of hours and C represents the total cost is C = 5 + nh.
Given that the skates were rented for $5 and pay $1 an hour for skating per person.
We need to write an equation, where h represents the number of hours and C represents the total cost.
To calculate the total cost (C) for a family with h hours of skating, you would need to consider the cost of renting skates ($5) and the cost of skating per person per hour ($1 per person per hour).
Let n be the number of people in the family.
The equation for the total cost (C) can be expressed as follows:
C = 5 + nh
The $5 is added to the equation as a one-time cost for renting skates, which is the same for any number of people.
nh represents the cost for the number of people (n) skating for h hours, at the rate of $1 per person per hour.
The cost per person is multiplied by the number of hours they skate.
Hence the required equation is C = 5 + nh.
Learn more about Equations click;
https://brainly.com/question/29657983
#SPJ7
Please help due today
Answer:
first one x = 11
Step-by-step explanation:
3x - 5 = 2x + 6
3x - 2x - 5 = 6
x - 5 = 6
x = 6 + 5
x = 11
Harry tosses a nickel 4 times. The probability that he gets at least as many heads as tails is.
Answer:
50%
Step-by-step explanation:
theres always a 50% chance of getting either a head or a tail
on friday, you drove 145 miles to stay at your grandmother's house. on Sunday, you returned home and calculated the the road trip travel time was 5 hours. What was your average speed?
Answer:
29 mph
Step-by-step explanation:
divide 145 miles by 5 hours to calculate your miles per hour. 145 / 5 = 29!
Answer: 58 mph
Step-by-step explanation: Since its a round trip multiply 145 by 2.
290
Divide 290/5= 58
58 miles per hour
State whether the following is a solution of x ≥ -4.1? Write only YES or NO.
1. -5
2. -4.1
3. 8
4. 0
Answer:
1. NO
2. YES
3. YES
4. YES
Step-by-step explanation:
Plot these on a number line to see visually.
Answer:
1. No
2. Yes
3. Yes
4. Yes
Step-by-step explanation:
Given inequality :
x ≥ -4.1
1.
[tex]\ -5\Large \ \ \text{\bf{(NO)}}[/tex]
Reason: 5 > 4.1 ⇒ -5 < -4.1
2.
[tex]\ -4.1\Large \ \ \text{\bf{(Yes)}}[/tex]
Reason : -4.1 = -4.1 ⇒ -4.1 ≥ -4.1
3.
[tex]\ 8\Large \ \ \text{\bf{(Yes)}}[/tex]
Reason : 8 is positive and -4.1 is negative ⇒ 8 ≥ -4.1
4.
[tex]\ 0\Large \ \ \text{\bf{(Yes)}}[/tex]
Reason : -4.1 is negative and 0 is greater than any negative number ⇒ 0 ≥ -4.1
50pts to whoever can solve this correctly
The expression for M from the given function is M = 4π²a²/T²G
Subject of formulaThe subject of a formula is the variable that is being worked out from a given equation.
Given the equation below;
T² = 4π²a²/GM
We are to make M the subject of the formula
T²GM = 4π²a²
Divide both sides by T²G
T²GM/T²G = 4π²a²/T²G
M = 4π²a²/T²G
Hence the expression for M from the given function is M = 4π²a²/T²G
Learn more on subject of formula here: https://brainly.com/question/657646
#SPJ1
Record
". Find the domain of the relation ((0, 0), (1, 1), (2, 0)). Then determine whether the relation is a fur
C {0, 1, 2); function D {0, 1, 2); not a function
B (0, 1, 0); not a function
A (0, 1, 0); function
The correct option is C. (0, 1, 2); function. The domain of the function is (0, 1, 2).
What is defined as the function and its domain?Functions are used to allocate outputs to inputs. A function's domain is the set of possible inputs to the function. The domain of f(x)=x² is all real numbers, for example, and the domain of g(x)=1/x has been all real numbers except x=0. We can also characterize special functions with more limited domains.For the given question;
The relation is;
(x, y) = {(0, 0), (1, 1), (2, 0)}
Take out the values for x.
x = {0, 1, 2}
The above set indicates that the x-values begin at 0 and end at 2.
As a result, the domain is {0, 1, 2}.
To be a function, all of the relation's y-values must refer to different x-values.
Since all y-values possess unique x values, we can say that the provided relation is a function.
Therefore, the given relation defines a function with domain of {0, 1, 2}.
To know more about the function, here
https://brainly.com/question/22340031
#SPJ9
The correct question is-
Find the domain of the relation ((0, 0), (1, 1), (2, 0)). Then determine whether the relation is a function;
A. (0, 1, 0); function
B. (0, 1, 0); not a function
C. (0, 1, 2); function
D. (0, 1, 2); not a function
Solve the linear equation x/3-7=-5
The solution to the linear equation according to the task content as given is; 6.
What is the solution to the linear equation as given in the task content?It follows from the task content, it follows that the solution to the linear equation given is required.
Given;
x/3 - 7 = -5
Add 7 to both sides of the equation;
x/3 = -5 + 7
x/3 = 2
Multiply both sides by 3;
x = 2×3
x = 6.
Ultimately, the solution of the linear equation as given in the task content is; 6.
Read more on one-variable linear equations;
https://brainly.com/question/85774
#SPJ1
find the reciprocal of 12.5
Answer:
Reciprocal means put 1/x
Step-by-step explanation:
It will 1/12.5=0.08
Simplify this math equation:
(h/5)^-2
[tex] \large \bf \implies{25 {h}^{ - 2}} \\ [/tex]
Step-by-step explanation:[tex] \bf \longrightarrow \bigg( \frac{h}{5} \bigg)^{ - 2} \\ \\ \bf \longrightarrow \bigg(\frac{5}{h} \bigg)^{2} \\ \\ \bf \longrightarrow \frac{ {5}^{2} }{ {h}^{2} } \\ \\ \bf \longrightarrow \frac{25}{ {h}^{2} } \\ \\ \bf \longrightarrow25 {h}^{ - 2} [/tex]
Note :- We have using the negative exponent rule :
[tex] \large \mapsto \bf \boxed{ \bf \red{{a}^{ - n} = \frac{1}{ {a}^{n} } }}[/tex]
Rachel went to see a baseball game. The game started at 10:42 AM and ended at 2:11 PM. How long was the game?
Answer:
4 hous and 29 minutes
Step-by-step explanation:
x and y are only correlated because z caused both to occur. in this example, z is known as a: x and y are only correlated because z caused both to occur. in this example, z is known as a: confounding variable
When x and y are only correlated because z caused both to occur. in this example, z is known as a: x and y are only correlated because z caused both to occur. in this example, z is known as a: confounding variable. This is true
What is a confounding variable?It should be noted that confounding variables are variables which affect other variables in such a way that it produces distorted associations between two variables. It should be noted that they confound the "true" relationship between two variables.
In this case, a causal relationship between two variables is often described as the way in which the independent variable affects the dependent variable.
Therefore, the information illustrated is true.
Learn more about variables on:
https://brainly.com/question/25223322
#SPJ4
-406=c+430
.................
Answer:
c=836
Step-by-step explanation:
=, c=430+ 406
c=836
Is this answer right ?
Answer:
It's 25
Step-by-step explanation:
ooposite angle of 40 is the one between 2x and the 90 degree angle.
if that is 40 and another angle is 90, then
2x + 40 + 90 = 180
2x = 180 - 130
2x = 50
50/2 = x
x = 25
represent the following on number line -5
Answer:
It would be 5 spots to the left of 0 on the number line.
Step-by-step explanation:
is 3/5 of a mile longer or shorter than 4/7 of a mile
Answer:
3/5 is longer than 4/7
Step-by-step explanation:
I need help on 11 and 12 I need it in 1 min help asp
Answer:
in 11 1 is greater in 12 they are equal
Step-by-step explanation:
100 POINTS BRAINLIEST FOR 1ST ANSWER!!!!
Carla puts $625 into a savings account at an annual interest rate of 2.5%. If she does not withdraw or deposit any money, what is the interest that Carla will earn at the end of 6 months?
Type the number including the dollar sign.
The formula is I=prt
Answer:
$7.81 (nearest cent)
Step-by-step explanation:
Simple Interest Formula
[tex]\boxed{\sf I = Prt}[/tex]
where:
I = Total interest accrued.P = Principal invested.r = Interest rate (in decimal form).t = Time (in years).Given values:
P = $625r = 2.5% = 0.025t = 6 months = 0.5 yearsSubstitute the given values into the formula and solve for I:
[tex]\implies \sf I=625 \cdot 0.025 \cdot 0.5[/tex]
[tex]\implies \sf I=15.625 \cdot 0.5[/tex]
[tex]\implies \sf I=7.8125[/tex]
Therefore, the interest that Carla will earn at the end of 6 months is $7.81 (nearest cent).
Answer:
$7.81 (nearest cent)
Step-by-step explanation:
Use the simple interest formula
The function has changed from f(x)= |x| to g(x)= 2|x|+3 describe the change.
*
The function has been vertically stretched by a factor of 2 and shifted 3 units up
The function has been vertically compressed by a factor of 2 and shifted 3 units up
The function has been vertically stretched by a factor of 2 and shifted 3 units down
The function has been vertically compressed by a factor of 2 and shifted 3 units down
What is the slope of the line represented by the equation -5x + 2y = 10?
0 - 12/201
O
O
O
25
52
The slope of the line represented by the equation -5x + 2y = 10 is slope = -5/2 and y intercept= -5
In order to answer the question, we must first simplify the given linear equation so that it may be expressed as a regular linear equation with slope and intercept. A linear equation's slope intercept form is y=mx+b , where "m" denotes the line's slope and "b" its y-intercept. The value of y = 0 must then be entered for the x-intercept, and the value of "x" must then be determined. We will obtain all necessary values in this manner.
By slope-intercept form equation of the line:
y=mx+b
The advantage of the equation in this form is that m and b can be derived 'easily'
Rearrange -5x-2y = 10 in this form.
-2y=5x+10
y=-5/2x+-10/2
y=-5/2x-5
slope = -5/2
y intercept= -5
To learn more about slope intercept refer the link:
https://brainly.com/question/12763756
#SPJ9
whats the anwer to 7/8-1/4=
Answer:
7/8-1x2/4x2
7/8-2/8=5/8
5/8
let [a; b] be a non-degenerate closed interval in r, and let f : [a; b] ! r. for ant x 2 [a; b] and any t 2 [a; b] s.t. t 6
According to the given data the non - degenerated closed interval in r is calculated as [tex]\int\limits^t_s[/tex]f(t) - f(s).
What is the degenerated interval?Any set that only contains one real number is known as a degenerate interval (i.e., an interval of the form [a,a]). an interval is measured in terms of numbers. An interval is any integer that falls between two specific numbers. This range encompasses all real numbers between those two. Real numbers can be any number anyone can think of. A degenerate interval is any set that contains only one real number (i.e., an interval of the form [a, a]). The empty set is included in this definition by some authors. A suitable interval is one that is either empty or degenerate and has an infinite number of elements.
According to the given data:f(x[tex]_r[/tex]) - f(x[tex]_r[/tex]₋₁) = F' (e[tex]_r[/tex])(x[tex]_r[/tex] - x[tex]_r[/tex]₋₁)
By summating the equation it becomes.
f(t) - f(s) [tex]\int\limits^t_s[/tex] f < = f(t) - f(s) --------->
[tex]\int\limits^t_s[/tex] ts < = f(t) - f(s) ------------->2
From 1 and 2
[tex]\int\limits^t_-s < ={f(t) - f(s) < = \int\limits^t_d {f}[/tex]
So, it finally becomes
[tex]\int\limits^t_s[/tex]f < = f(t) - f(s)
To learn more about non - degenerated closed interval visit:
https://brainly.com/question/10071979
#SPJ4