Step-by-step explanation:
There are several ways we can do this.
x = cos t, y = sin t, t ≥ 0 traces the unit circle in a counterclockwise direction starting at (1, 0).
To change the direction, we can multiply one of these by -1. Then choose an initial value of t so that the starting point is (-1, 0).
x = -cos t, y = sin t, t ≥ 0
x = cos t, y = -sin t, t ≥ π
Or, we can change the direction by switching the equations.
x = sin t, y = cos t, t ≥ 3π/2
We can also multiply both by -1:
x = -sin t, y = -cos t, t ≥ π/2
Of these four examples, I would say the first is the simplest and most straightforward, but all of them achieve the same result.
“CAN”
PLACE VALUE
How does the 5 in the tens place
compare to the 5 in the ones place?
3,055
WHAT IS THE AVERAGE OF -2.5, 5.2, 1.7, -0.8?
Answer:
0.9
Step-by-step explanation:
-2.5 + 5.2 + 1.7 + -0.8 = 3.6
3.6 / 4 = 0.9
which statement is true about the transformation
Answer:
Where are the statements
Answer:
The answer is A
Step-by-step explanation:
Got this from edge
multiply fraction 7×2 1/2
[tex]\frac{35}{2} \: or \: 17 \frac{1}{2} [/tex]
Step-by-step explanation:
[tex]7 \times 2 \frac{1}{2} [/tex]
Convert mixed number to fraction
[tex]2 \frac{1}{2} = \frac{5}{2} \\ \\ 7 \times \frac{5}{2} [/tex]
Simplify
[tex] \frac{7}{1} \times \frac{5}{2} = \frac{35}{2} [/tex]
Convert to mixed number
[tex]17 \frac{1}{2} [/tex]
Consider the line y=-1/2x+8
What is the slope of a line parallel to this line?
What is the slope of a ine perpendicular to this line?
Given parameters:
Equation of the line is y = -[tex]\frac{1}{2} x[/tex] + 8
Unknown:
Slope of line parallel to this line = ?
Slope of line perpendicular = ?
Solution:
A line parallel to this line will have the same slope with it.
A line perpendicular will have the negative inverse of this slope;
Slope of line = - [tex]\frac{1}{2}[/tex]
Slope of line parallel to this line = [tex]-\frac{1}{2}[/tex]
Slope of line perpendicular = negative inverse = -( -([tex]\frac{1}{\frac{1}{2} }[/tex])) = 2
So, the slope of line parallel to this line is - 1/2 and that perpendicular is 2
The sum of matrices A and B is C.
Answer:
Step-by-step explanation: -3
Use the rules of significant figures to simplify the following expression:
25.5 x 10.09
Answer here
[tex]\frac{x}{5}[/tex] + 7 = -3
Answer:
[tex]\huge{\fbox{\sf{ x = -50}}}[/tex]
Step-by-step explanation:
[tex]\frac{x}{5} + 7 = -3[/tex]
Take the L.C.M of 5 and 1 ( i.e 5 )
⇒[tex]\frac{x+7 * 5}{5} = -3[/tex]
⇒[tex]\frac{x+35}{5} = -3[/tex]
Do cross multiplication
⇒[tex]x + 35 = -3 * 5[/tex]
⇒[tex]x + 35 = -15[/tex]
Move 35 to right hand side and change its sign
⇒[tex]x = -15 - 35[/tex]
Remember : The negative integers are always added but posses the negative ( - ) sign.
⇒[tex]x = -50[/tex]
The value of x is [tex]\boxed{\sf{ -50}}[/tex]
Hope I helped!
Best regards!
~[tex]\text{ TheAnimeGirl}[/tex]
Here's a linear equation in variable x and we have to compute the value of x for the above equation.
Given equation:
[tex] \large{ \rm{ \dfrac{x}{5} + 7 = - 3}}[/tex]So, Let's start solving the above equation:
Move 7 to the Right hand side,
Remember: Inverse of addition is subtraction
[tex] \sf{ \dfrac{x}{5} = - 3 - 7}[/tex]
[tex] \sf{ \dfrac{x}{5} = - 10}[/tex]
Now multiplying 5 in other side because again the inverse of division is multiplication,
[tex] \sf{ x = - 10 \times 5}[/tex]
[tex] \sf{x = \boxed{ \red{ - 50}}}[/tex]
And the required value for x is -50. So, we are done....
Carry On Learning !
Can someone tell me why the answer for this absolute value equation is all real numbers?
Answer:
yo its not that hard it just means that it can be any number
Simplify
4a + 5b – 3b + a
2 marks)
Answer:
5a+2b
Step-by-step explanation:
4a + 5b – 3b + a
Combine like terms
4a +a + 5b-3b
5a+2b
Judy’s Cake Shop makes fresh cakes to customer orders. After receiving the order by Judy’s assistant, which takes 2 minutes, Judy then takes 8 minutes to mix the ingredients for the cake and loads a cake pan for baking. Then the cake is put into the oven for 30 minutes. The oven can hold three cakes at one time. When the cake is taken out of the oven, it is cooled for 1 hour. The assistant then takes 2 minutes to pack the cake for pickup and bills the customer, which takes 3 minutes. a. What is the capacity of the process, and what is the bottleneck? b. What is the throughput time for a typical cake? c. If on average five orders are taken per hour, how many cakes are there in the process (on average)?
Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
Time taken to receive order = 2 minutes
Ingredient mixing and cake loading = 8 minutes
Baking time = 30 minutes
Number of cakes oven can hold at a time = 3
Cooling time = 1 hour = 60 minutes
Cake packing = 2 minutes
Billing customer = 3 minutes
a. What is the capacity of the process, and what is the bottleneck?
The capacity of the process:
Within an hour : two bakings can be done =(30 minutes * 2) = 60 minutes
Also oven can hold 3 cakes, so, 3 cakes can be baked at a time.
Hence, 3 cakes in 30 minutes ;
6 cakes in an hour;
Hence, capacity of the process is 6cakes per hour.
The bottleneck is the oven, because if the number of ovens were to be increased, the process capacity will increase, similarly, if one of the oven gets faulty, then the process capacity reduces further.
b. What is the throughput time for a typical cake?
The throughput time, is the summation of all the time taken to fully complete an order :
Receipt of order + mixing + baking + cooling + packing + billing
2 + 8 + 30 + 60 + 2 + 3 = 105 minutes
c. If on average five orders are taken per hour, how many cakes are there in the process (on average)?
(Throughput time / 60) * average number of order
(105/60) * 5
= 1.75 * 5
= 8.75
The probability that the parking lot of a mall is full on a holiday is 0.19. The probability that it is a holiday is 0.29. What is the probability that the parking lot is full given that today is a holiday?
66%
15%
5.51%
Answer:
66%
Step-by-step explanation:
Use conditional probability.
P(full | holiday) = P(full AND holiday) / P(holiday)
P(full | holiday) = 0.19 / 0.29
P(full | holiday) ≈ 0.66
Answer:
I'm sure the answer is 15%
Step-by-step explanation:
The value of the the expression:
50 times the sum of 64 and 36?
3,236
2,354
4,104
5,000
Answer:
5000
Step-by-step explanation:
Let's start by evaluating what we are given. 50 times the sum of 64 and 36. Ok, so 50 times which is the way to write x (multiply) and the sum of 64 and 36 is another way to write 64 + 36.
Lets put this together now!
50 x ( 64 + 36 ) = 50 x ( 100 )
= 5000
Juliet wants to read more this year. So far, she has read two books for a total of 730 pages. Juliet's goal is to read 25 pages each day for the rest of the school year. Let x represent the number of days that she has followed her plan, and let y represent the total number of pages read.
Which of the following linear equations can Juliet use to model her plan and calculate the total number of pages read?
y=25−730xy is equal to 25 minus 730 x
y=730−25xy is equal to 730 minus 25 x
y=25+730xy is equal to 25 plus 730 x
y=730+25x
Answer: y= 730+25x
Step-by-step explanation:
Given: Total pages she already read = 730
Pages read by her in 1 week = 25
Let x = number of days that she has followed her plan, and let y = the total number of pages read.
Then total pages she will read in x days = 25x
therefore , Total pages she read till now(y) =730 + 25x
Hence, the linear equations can Juliet use to model her plan and calculate the total number of pages read:
y= 730+25x
Which line is perpendicular to a line that has a slope of -1/3?
Answer:
Any line with slope -1/(-1/3)=3.
Step-by-step explanation:
If a line l has slope m, any line perpendicular to l will have slope equal to -1/m.
Answer: line EF
Step-by-step explanation:
Did it in edg
During one waiter's shift, he delivered 13 appetizers, 17 entrees, and 10 desserts. What percentage of the dishes he delivered were:
A. desserts?
B. appetizers?
C. entrees?
Answer:
deserts are 32.5%
appetizers are 42.5%
deserts are 25%
Step-by-step explanation:
let me know if i helped
Please help!! i cant fail math
Answer:
The scale factor is 2
Step-by-step explanation:
14 increased by 14 5/7
A company earns $175 a week for 10 weeks. It then has a loss of $87 a week for 15 weeks. At the end of the 25 weeks what is the company's balance?
During a thunderstorm yesterday, 600 millimeters of rain fell in 30 minutes. What is the unit rate for millimeters per minute?
9514 1404 393
Answer:
20 mm/min
Step-by-step explanation:
To find the rate in mm per minute, divide mm by minutes:
(600 mm)/(30 min) = 20 mm/min . . . unit rate
Which of the following statements is true for all sets A,B and C? Give a proof
or a counter example.
(a) A ⊆ ((A∩B)∪C).
(b) (A∪B)∩C = (A∩B)∪C.
(c) (A\B)∩C = (A∩C) \ (B∩C).
Answer:
(a) and (b) are not true in general. Refer to the explanations below for counterexamples.
It can be shown that (c) is indeed true.
Step-by-step explanation:
This explanation will use a lot of empty sets [tex]\phi[/tex] just to keep the counterexamples simple.
(a)Note that [tex]A \cap B[/tex] can well be smaller than [tex]A[/tex]. It should be alarming that the question is claiming [tex]A\![/tex] to be a subset of something that can be smaller than [tex]\! A[/tex]. Here's a counterexample that dramatize this observation:
Consider:
[tex]A = \left\lbrace 1 \right\rbrace[/tex].[tex]B = \phi[/tex] (an empty set, same as [tex]\left\lbrace \right\rbrace[/tex].)[tex]C = \phi[/tex] (another empty set.)The intersection of an empty set with another set should still be an empty set:
[tex]A \cap B = \left\lbrace 1\right\rbrace \cap \left\lbrace\right\rbrace = \left\lbrace\right\rbrace[/tex].
The union of two empty sets should also be an empty set:
[tex]((A \cap B) \cup C) = \left\lbrace\right\rbrace \cup \left\lbrace\right\rbrace = \left\lbrace\right\rbrace[/tex].
Apparently, the one-element set [tex]A = \left\lbrace 1 \right\rbrace[/tex] isn't a subset of an empty set. [tex]A \not \subseteq ((A\cap B) \cup C)[/tex]. Contradiction.
(b)Consider the same counterexample
[tex]A = \left\lbrace 1 \right\rbrace[/tex].[tex]B = \phi[/tex] (an empty set, same as [tex]\left\lbrace \right\rbrace[/tex].)[tex]C = \left\lbrace 2 \right\rbrace[/tex] (another empty set.)Left-hand side:
[tex](A \cup B) \cap C = \left(\left\lbrace 1 \right\rbrace \cup \left\lbrace \right\rbrace\right) \cap \left\lbrace 2 \right\rbrace\right = \left\lbrace 1 \right\rbrace \cap \left\lbrace 2 \right\rbrace = \left\lbrace \right\rbrace[/tex].
Right-hand side:
[tex](A \cap B) \cup C = \left(\left\lbrace 1 \right\rbrace \cap \left\lbrace \right\rbrace\right) \cup \left\lbrace 2 \right\rbrace\right = \left\lbrace \right\rbrace \cup \left\lbrace 2 \right\rbrace = \left\lbrace 2 \right\rbrace[/tex].
Apparently, the empty set on the left-hand side [tex]\left\lbrace \right\rbrace[/tex] is not the same as the [tex]\left\lbrace 2 \right\rbrace[/tex] on the right-hand side. Contradiction.
(c)Part one: show that left-hand side is a subset of the right-hand side.
Let [tex]x[/tex] be a member of the set on the left-hand side.
[tex]x \in (A \backslash B) \cap C[/tex].
[tex]\implies x\in A \backslash B[/tex] and [tex]x \in C[/tex] (the right arrow here reads "implies".)
[tex]\implies x \in A[/tex] and [tex]x \not\in B[/tex] and [tex]x \in C[/tex].
[tex]\implies (x \in A\cap C)[/tex] and [tex]x \not\in B \cap C[/tex].
[tex]\implies x \in (A \cap C) \backslash (B \cap C)[/tex].
Note that [tex]x \in (A \backslash B) \cap C[/tex] (set on the left-hand side) implies that [tex]x \in (A \cap C) \backslash (B \cap C)[/tex] (set on the right-hand side.)
Therefore:
[tex](A \backslash B) \cap C \subseteq (A \cap C) \backslash (B \cap C)[/tex].
Part two: show that the right-hand side is a subset of the left-hand side. This part is slightly more involved than the first part.
Let [tex]x[/tex] be a member of the set on the right-hand side.
[tex]x \in (A \cap C) \backslash (B \cap C)[/tex].
[tex]\implies x \in A \cap C[/tex] and [tex]x \not\in B \cap C[/tex].
Note that [tex]x \not\in B \cap C[/tex] is equivalent to:
[tex]x \not \in B[/tex], OR[tex]x \not\in C[/tex], ORboth [tex]x \not\in B[/tex] AND [tex]x \not \in C[/tex].However, [tex]x \in A \cap C[/tex] implies that [tex]x \in A[/tex] AND [tex]x \in C[/tex].
The fact that [tex]x \in C[/tex] means that the only possibility that [tex]x \not\in B \cap C[/tex] is [tex]x \not \in B[/tex].
To reiterate: if [tex]x \not \in C[/tex], then the assumption that [tex]x \in A \cap C[/tex] would not be true any more. Therefore, the only possibility is that [tex]x \not \in B[/tex].
Therefore, [tex]x \in (A \backslash B)\cap C[/tex].
In other words, [tex]x \in (A \cap C) \backslash (B \cap C) \implies x \in (A \backslash B)\cap C[/tex].
[tex](A \cap C) \backslash (B \cap C) \subseteq (A \backslash B)\cap C[/tex].
Combine these two parts to obtain: [tex](A \backslash B) \cap C = (A \cap C) \backslash (B \cap C)[/tex].
A scientist measured the water pressure at different depths. She made a table showing her findings. The x-values represent the depth, in meters. The y-values represent the pressure in atmospheres (atm).
x
y
0
0
15
3
30
6
Assuming there is a proportional relationship, which additional set of values could be included in the table?
(10, 2)
(40, 9)
(50, 38)
(100, 76)
Answer:
(10, 2)
Step-by-step explanation:
I just did the quiz.
The additional set of values that could be included in the table will be ( 10, 2). the correct option is A.
What are ratios and proportions?An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.
Given table is as follows:-
x y
0 0
15 3
30 6
Here the x-values represent the depth, in meters. The y-values represent the pressure in atmospheres (atm).
The ratio between the values x and y is 15:3 or 30:6 or 5 :1. From the given options the additional set of values that could be included in the table having the same ratio of 5:1 is ( 10, 2 ).
Therefore, the additional set of values that could be included in the table will be (10, 2). the correct option is A.
To know more about ratios and proportions follow
https://brainly.com/question/12024093
#SPJ2
the function f(x)=-4x+9 has a range given by {1, -3, -7, -15, -19, -23} select the domain values of the function from the list. complete the explanation for how you arrived at your answer. btw this isn’t actually a test it’s assigned as hw but please help
Let's see what to do buddy....
_________________________________
Remember from now on ,
rang = output
and also Remember ,
output = y = f(x)
So : range = f(x)
So we must put the range number instead of f(x) and solve for x.
Let's do it...
=======================================
[tex]f(x) = 1[/tex]
[tex] - 4x + 9 = 1[/tex]
Both sides minus 9
[tex] - 4x = 1 - 9[/tex]
[tex] - 4x = - 8[/tex]
Negatives simplified
[tex]4x = 8[/tex]
Divided both sides by 4
[tex]x = \frac{8}{4} \\ [/tex]
[tex]x = 2[/tex]
_________________________________
[tex]f(x) = - 3[/tex]
[tex] - 4x + 9 = - 3[/tex]
[tex] - 4x = - 3 - 9[/tex]
[tex] - 4x = - 12[/tex]
[tex]4x = 12[/tex]
[tex]x = \frac{12}{4} \\ [/tex]
[tex]x = 3[/tex]
_________________________________
[tex]f(x) = - 7[/tex]
[tex] - 4x + 9 = - 7[/tex]
[tex] - 4x = - 7 - 9[/tex]
[tex] - 4x = - 16[/tex]
[tex]4x = 16[/tex]
[tex]x = \frac{16}{4} \\ [/tex]
[tex]x = 4[/tex]
_________________________________
[tex]f(x) = - 15[/tex]
[tex] - 4x + 9 = - 15[/tex]
[tex] - 4x = - 15 - 9[/tex]
[tex] - 4x = - 24[/tex]
[tex]4x = 24[/tex]
[tex]x = \frac{24}{4} \\ [/tex]
[tex]x = 6[/tex]
_________________________________
[tex]f(x) = - 19[/tex]
[tex] - 4x + 9 = - 19[/tex]
[tex] - 4x = - 19 - 9[/tex]
[tex] - 4x = - 28[/tex]
[tex]4x = 28[/tex]
[tex]x = \frac{28}{4} \\ [/tex]
[tex]x = 7[/tex]
_________________________________
[tex]f(x) = - 23[/tex]
[tex] - 4x + 9 = - 23[/tex]
[tex] - 4x = - 23 - 9[/tex]
[tex] - 4x = - 32[/tex]
[tex]4x = 32[/tex]
[tex]x = \frac{32}{4} \\ [/tex]
[tex]x = 8[/tex]
=======================================
So the domain values are :
x = { 2 , 3 , 4 , 6 , 7 , 8 }
_________________________________
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
PLZ HELP FAST looks easy
Answer:
45
90
135
180
225
Step-by-step explanation:
It represents a function because each element in the domain is matched with exactly one element in the range.
which sentence is true
5 times a number is 6 less than the square of that number
Answer:
5x = x^2 - 6
Step-by-step explanation:
a number can be represented by x,
5 times a number can be represented as the product of 5 and x, 6 less than the square of that number tells us that this is equal to a number squared minus 6. is tells us that these two expressions are equal.
If you want a working number, just solve by completing the square once this is in standard form. This is then converted to vertex form.
x^2-5x-6 = (x-5/2)^2-49/4 = (x^2-5x+25/4) -49/4 = x^2-5x-6.
(x-5/2)^2-49/4=0
(x-5/2)^2=49/4
(x-5/2) = ±√49/4
(x-5/2) = ±7/2
x=5/2±7/2
x=(5±7)/2
x=12/2,-2/2
x=6,-1
Thus, the number can either be 6 or -1.
A study was conducted to analyze the amount of time spent sitting at a desk for employees over a work day. The time spent sitting was recorded for a large sample of employees and found to follow a bell-shaped distribution with a mean of about 280 minutes. The smallest amount of time was 100 minutes and the largest amount of time was 460 minutes. Unfortunately, the standard deviation was not reported in the summary. Which of the following represent the most appropriate value for that standard deviation?
A. Options 60 minutes
B. 90 minutes
C. 180 minutes
D. 360 minutes
Your $960 got an interest rate of 8.7% which was
compounded monthly for 3 years. What is your $960
worth after 3 years?
Answer:
D
Step-by-step explanation:
Which point on the graph represents the y-intercept?
у
5
V
4
N 03
W
>
1
1
N
-5 4 -3 -2 -14
1 2 3 4
12
4
25
Take a picture of the assignment and post it in your question.
Answer:
a
Step-by-step explanation:
did it on edge 2020
what is 6.1x3 x 6.9x3.1
Answer:
391.437
Step-by-step explanation:
Answer:
391.437
Step-by-step explanation:
6.1x3=18.3
18.3x6.9=126.27
126.27x3.1=391.437