Answers
Given:
\(\begin{gathered} y=\tan\frac{1}{4}\theta \\ \\ y=\cos(\theta+120) \end{gathered}\)Required:
To graph the function.
Explanation:
The graph of the functions is
Related Questions
Josh's mom gave him money to spend at an
amusement park. So far, he's used 3/10 of the
money on games and 1/4 of the money on rides.
What fraction of the money does he have left?
Give your answer as a fraction in simplest form.
Answers
Answer:
9/20
Step-by-step explanation:
3/10 + 1/4
find a common denominator, which is 20 here
6/20 + 5/20 = 11/20 he used
left over is 9/20
7. Solve. *
Tommy had 3 pounds of peanuts. If he split the peanuts up between himself
and his three friends, how many pounds of peanuts would each person gets
Answers
Answer:
0.75 is what they each get.
Step-by-step explanation:
You need to divide 3 by 4.
Ahn has two jars of marbles. The first jar has a white, blue and green marble. The second jar has a green, red, purple and black marble. He randomly chooses one marble from each jar. Whatis the probability he chooses two green marbles?
Answers
Answer:
1/12
Step-by-step explanation:
There are 12 different possibilities when we pair them together. This can be viewed when we draw up a table. See image attached. :P
Answer:
1/12
Step-by-step explanation:
if the first jar has 3 and the second has 4 marbles, then just multiply and you have 12. so its 1/12
grace thought of a number, added 7, multiflied by 3, took away 5 and divided by 4 to give an answer of 7
Answers
Answer:
Step-by-step explanation:
To find the number that Grace thought:
We'll represent the unknown number as "x."
"Added 7": This can be represented as (x + 7).
"Multiplied by 3": This becomes 3 * (x + 7).
"Took away 5": This is represented as 3 * (x + 7) - 5.
"Divided by 4": This gives (3 * (x + 7) - 5) / 4.
"To give an answer of 7": The equation is (3 * (x + 7) - 5) / 4 = 7.
Now we can solve for x:
(3 * (x + 7) - 5) / 4 = 7
Multiply both sides by 4 to eliminate the denominator:
3 * (x + 7) - 5 = 28
Simplify the left side:
3x + 21 - 5 = 28
Combine like terms:
3x + 16 = 28
Subtract 16 from both sides:
3x = 12
Divide both sides by 3:
x = 4
Therefore, the number that Grace thought of is 4.
What is 2 1/2 in ft?
Answers
Answer:
0.20
Step-by-step explanation:
Answer:
30 inches
Step-by-step explanation:
Help I need this answered today!!!
Answers
The domain for f(x) is all real numbers greater than or equal to -4
How to determine the domain of the function?The equation of the function is given as
g(x) ≥ -2√(1/2x + 2)
For the function to have real values,
We need to set the radical to at least 0
This means that we set 1/2x + 2 to greater than or equal to 0
So, we have the following representation
1/2x + 2 ≥ 0
Subtract 2 from both sides
1/2x ≥ -2
Multiply both sides by 2
x ≥ -4
Hence, the domain is all real numbers that are at least -4
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30% of a number is 27. What is 50% of that same answer?
Answers
Answer:
90, 45
Step-by-step explanation:
0.3x = 27
x = 90
50% of 90 = 45
Please awnser asap I will brainlist
Answers
The members of the given set in this problem are given as follows:
X U (Y ∩ Z) = {p, q, r, 0, 6, 21, 22, 23, 26}
How to obtain the union and intersection set of two sets?The union and intersection sets of multiple sets are defined as follows:
The union set is composed by the elements that belong to at least one of the sets.The intersection set is composed by the elements that belong to at all the sets.The intersection of the sets Y and Z for this problem is given as follows:
Y ∩ Z = {0, 6, 23, 26}
(which are the elements that belong to both of the sets).
The union of the above set with the set X is given as follows:
X U (Y ∩ Z) = {p, q, r, 0, 6, 21, 22, 23, 26}
(elements that belong to at least one of the sets).
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Pls tell how did she get
1.15m il will marke brainliat
Answers
Answer:
Step-by-step explanation:
1.15 represents a 15% increase so if you want a 15 % increase from last year, you would multiply 1.15 by m to get 1.15m
:)
How do you write 7.28 x 104 in standard form?
Answers
Explanation:
7.2
×
10
5
is already expressed in
standard form
I believe you mean express as
original number
To do this consider
10
5
or more generally
10
n
where n is an integer.
• If n > 0
move decimal point n places to the right
• If n < 0
move decimal point n places to the left
here n = 5 > 0, hence move decimal point 5 places to the right.
⇒
7
∙
2
→
720000
∙
⇒
7.2
×
10
5
=
720
000
Question 2 (10 points) (02.05 MC) Triangle PQR is transformed to triangle P′Q′R′. Triangle PQR has vertices P(8, 0), Q(6, 2), and R(−2, −4). Triangle P′Q′R′ has vertices P′(4, 0), Q′(3, 1), and R′(−1, −2). Plot triangles PQR and P′Q′R′ on your own coordinate grid. Part A: What is the scale factor of the dilation that transforms triangle PQR to triangle P′Q′R′? Explain your answer. (4 points) Part B: Write the coordinates of triangle P′′Q′′R′′ obtained after P′Q′R′ is reflected about the y-axis. (4 points) Part C: Are the two triangles PQR and P′'Q′'R′' congruent? Explain your answer. (2 points)
Answers
Answer: From R:(c, d), draw line segment RA perpendicular to the x-axis. Let O denote the origin (0,0).
area ΔPQR = area trapezoid OPRA- area ΔQAR - area ΔOPQ
=
2
1
c(a+d) -
2
1
d(c−b)-
2
1
ab=
2
1
(ac+bd−ab).
If c area ΔPQR = area trapezoid OPRA + area Δ QAR - areaΔOPQ=
2
1
c(a+d)
2
1
d(b−c)−
2
1
ab=
2
1
(ac+bd−ab).
Step-by-step explanation: done
Cotabato was struck by a series of quakes from June I to 3, 2013. The first was a 5.7 earthquake on June 1, followed by 15 aftershocks. A 4.3 and a 5.7 quake were recorded on June 2 and 3. respectively. How much more powerful was the first earthquake than the proceeding ones?
Answers
Step-by-step explanation:
Don't mind me, just tryna get those points
Simplify 3^4x2^0x6^1
Answers
The simplified value of the expression 3^4 × 2^0 × 6^1 is 486.
To simplify the expression 3^4 × 2^0 × 6^1, let's evaluate each exponent and perform the necessary calculations.
First, let's consider 3^4. This means we multiply 3 by itself four times:
3^4 = 3 × 3 × 3 × 3 = 81
Next, we have 2^0. Any number raised to the power of 0 is equal to 1:
2^0 = 1
Lastly, we have 6^1. Since any number raised to the power of 1 remains unchanged, we have:
6^1 = 6
Now, let's substitute the simplified values back into the original expression:
3^4 × 2^0 × 6^1 = 81 × 1 × 6 = 81 × 6 = 486
To simplify expressions first expand any brackets, next multiply or divide any terms and use the laws of indices if necessary, then collect like terms by adding or subtracting and finally rewrite the expression.
Therefore, the simplified value of the expression 3^4 × 2^0 × 6^1 is 486.
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Please help...........................
Answers
Answer:
Answer 3, \(8 \sum_{n=0}^{27} n\)
Step-by-step explanation:
If every element of the sum is multiplied by 8, we can just pull the 8 in front of the sum symbol.
(1/7x + 3/8) + (2/9x - 1/8)
Answers
Answer:
23/63x+1/4
Step-by-step explanation:
(1/7x + 3/8) + (2/9x - 1/8)=
1/7x + 3/8 + 2/9x - 1/8=
9/63x+14/63x+2/8=
23/63x+1/4
A poker hand consists of 5 cards. If the cards have distinct consecutive values and are not all of the same suit, we say that the hand is a straight. For instance, a hand consisting of the five of spades, six of spades, seven of spades, eight of spades, and nine of hearts is a straight. What is the probability that one is dealt a straight
Answers
Answer:
The answer is blah blah blah blah
1) If A = 3 5 -4 0 and B = 6 4 -2 -1
Find:- a) BA
b) │A│ =
c) Adjoint B
d) A-1
Answers
Finally, we can find the inverse of A by dividing adjA by the determinant of A:
A-1 = (1/20) *
| 0 -1/4 0|
|-1/5 0 0|
| 0 0 -1/4
What is matrix ?
A matrix is a rectangular or square array of numbers, symbols, or expressions arranged in rows and columns. It is a mathematical tool used to represent and manipulate data, equations, and relationships between variables. Matrices are widely used in various fields of mathematics, engineering, physics, computer science, and many other areas of study.
According to the question:
a) To find BA, we need to make sure that the number of columns in matrix A is equal to the number of rows in matrix B. Since A is a 1x4 matrix and B is a 4x1 matrix, we can multiply them together.
BA = (6)(3) + (4)(5) + (-2)(-4) + (-1)(0)
BA = 18 + 20 + 8 + 0
BA = 46
b) The determinant of matrix A (│A│) is calculated as follows:
│A│ = 3(0) - 5(-4) = 20
c) To find the adjoint of matrix B (adjB), we need to find the matrix of cofactors of B, transpose it, and then multiply by the determinant of B. The matrix of cofactors of B is found by finding the determinant of each 3x3 matrix formed by crossing out one row and one column in B, and then multiplying by -1 if the sum of the row number and column number is odd.
So,
|4 -2 -1|
|-2 -1 6|
|3 1 -8|
The cofactor matrix of B is:
| 22 27 10|
|-24 -27 -10|
|-10 -12 -2|
The transpose of this matrix is:
| 22 -24 -10|
| 27 -27 -12|
| 10 -10 -2|
The determinant of B is calculated as follows:
│B│ = 6(-1)(-8) + 4(-1)(-2) + (-2)(-2)(4) - (-1)(-2)(6) - (-8)(4)(3) - (-2)(6)(1)
│B│ = -48 -8 + 16 + 12 + 96 + 12
│B│ = 80
So, adjB = (1/80) * | 22 -24 -10|
| 27 -27 -12|
| 10 -10 -2|
= | 11/40 -3/20 -1/8|
| 27/80 -27/80 -3/20|
| 1/8 -1/8 -1/40|
d) To find the inverse of A (A-1), we need to first calculate the determinant of A. We have already calculated that │A│ = 20.
The adjoint of A (adjA) is found by finding the matrix of cofactors of A, transpose it, and then multiply by the determinant of A. The matrix of cofactors of A is:
| 0 -4 0|
|-5 0 -0|
| 0 0 -4|
The transpose of this matrix is:
| 0 -5 0|
|-4 0 0|
| 0 0 -4|
So, adjA = (1/20) * | 0 -5 0|
|-4 0 0|
| 0 0 -4|
= | 0 -1/4 0|
|-1/5 0 0|
| 0 0 -1/4|
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If a total of 1100 square centimeters of material is to be used to make a box with a square base and an open top, find the largest possible volume of such a box.
Answers
Answer:
Step-by-step explanation:
Let x = base side length
y = side height
volume V = x²y
y = V/x²
surface area
A = x² + 4xy
A = x² + 4x(V/x²)
A = x² + 4V/x
Solving for volume
V = (A - x²)(x/4)
V = ¼(Ax - x³)
a maximum will occur when the derivative equals zero
V' = ¼(A - 3x²)
0 = ¼(A - 3x²)
0 = A - 3x²
3x² = A
3x² = 1100
x² = (1100 / 3)
x = √(1100/3)
V = (A - x²)(x/4)
V = (1100 - √(1100/3))²(√(1100/3)/4)
V = 3,510.56606...
V = 3510.6 cm³
The box height will be half of the base side length.
y = ½√(1100/3)
PLEASE ANSWER BOTH QUESTIONS!
Answers
The correct statement regarding the transformation is given as follows:
Dilation bu a scale factor of 0.5 about the origin. Then reflect over the x-axis.
The true statements about the dilation are given as follows:
Dilating a line segment can change the length.Dilating a polygon can change the area.What is a dilation?A dilation can be defined as a transformation that multiplies the distance between every point in an object and a fixed point, called the center of dilation, by a constant factor called the scale factor.
For this problem, the coordinates of the dilated line segment are half the coordinates of the original line segment, hence the scale factor is given as follows:
k = 0.5.
The y-coordinate then has the signal exchange, hence the figure is also reflected over the x-axis.
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What number should both sides of the following equation be divided by to solve for x? (4.5)x = 26 4.5 5 6 4
Answers
Answer:
both sides should be divided by 4.5
Step-by-step explanation:
the equation is 4.5x = 264.5564
divide by 4.5 and 4.5 and 4.5 cancel each other out leaving x
x will be equal to 58.7903111 or 58.8
Hope this helps ^-^
A recent survey showed that exactly 38%
of people in a town buy the local
newspaper. There are 2450 people in the
town.
a) How many people in the town buy the
local newspaper?
b) How many people in the town do not
buy the local newspaper?
Answers
Answer:
a) .38 × 2,450 = 931 people buy the local newspaper.
b) 2,450 - 931 = 1,519 people do not buy the local newspaper.
Let A={2,3,4} B={2,5,6} C={5,6,2} and D={6}. Determine if the following statements are true:
i). 4€C
ii). 5€C
iii). A=B
iv). B=C
Answers
Answer:
i. 4∈C => False
ii. 5∈C => True
iii. A = B => False
iv. B=C => True
Step-by-step explanation:
Given sets are:
\(A = \{2,3,4\}\\B = \{2,5,6\}\\C = \{5,6,2\}\\D = \{6\}\)
Lets look at the statements one by one.
i. 4∈C
This statement means that 4 is a member of set C. Looking at the members of set C, it can be concluded that the statement is wrong as C doesn't contain 4.
ii. 5∈C
This statement is true as 5 is a member of C.
iii. A=B
This statement states that set A is equal to set B. Two sets are said to be equal if there number of elements and members are same. Set A and Set B have different members so this statement is false.
iv. B=C
Set B and Set C have equal number of members and the members (5,6,2) are also same so the statement is true.
Hence,
i. 4∈C => False
ii. 5∈C => True
iii. A = B => False
iv. B=C => True
-6*(-3) as a real life problem
Answers
Answer:
18
Step-by-step explanation:
-6 × (-3)
negative× negative= positive
so 18.
A solid figure is separated into 2 rectangular prisms. The volume of rectangular prism A is 75 cubic yards. Rectangular prism
B has a length of 7 yards and a width of 3 yards. The total volume of the solid figure is 180 cubic yards. What is the height of
rectangular prism B?
Answers
The height of rectangular prism B is 5 yards.
Let's first find the volume of rectangular prism B:
The volume of the solid figure = Volume of prism A + Volume of prism B
180 = 75 + length × width × height of prism B
105 = length × width × height of prism B
We know that the length of prism B is 7 yards and the width is 3 yards,
Substitute those values:
105 = 7 × 3 × height of prism B
105 = 21 × height of prism B
height of prism B = 105/21
height of prism B = 5
Therefore, the height of rectangular prism B is 5 yards.
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I’ve been bad at math since Elementary, this is my last year of high school and I have to do it virtually with the no teacher. It’s hard for me right now, but I need to pass my last year. If anyone ones anything about odyssey ware or another website where people help each other please tell me~! I need all the help and prayers I can get this year. Thank you in advance~ ♡
Answers
Answer: I don’t know much but I still know some! If you ever need help reply to this comment please
Step-by-step explanation:
what is the average rate of change for the first 4 years
Answers
according to the definition of the average rate of change over an interval [a,b] is defined as
\(\frac{f(b)-f(a)}{b-a}\)define the points over the interval (0,4)
(0,1) & (4,5)
replace in the formula
\(\frac{5-1}{4-0}=\frac{4}{4}=1\)the average rate of change is 1.
Find the geometric mean of 2 and 98. pls explain how to solve this in steps
Answers
============================================================
Work Shown:
\(m=\text{geometric mean of x and y}\\\\m = \sqrt{x*y}\\\\m = \sqrt{2*98}\\\\m = \sqrt{196}\\\\m = \sqrt{14^2}\\\\m = 14\\\\\)
The geometric mean of two numbers has us do two steps in this order
Multiply the valuesApply the square rootThe geometric mean can be applied to more than two values. Regardless of how many values you have, you always multiply them out. However, the number of values will tell you what kind of root you'll take (eg: 3 values leads to a cube root; 4 values means you'll take a fourth root, etc).
three-quarters of a pile of bricks were used for a certain project. when two thirds of the reminder had been used, 50 bricks were left. how many bricks were there in the original pile?
Answers
Answer:
sorry I don't know the answer
GIVING BRAINLIST IF YOU HELP FAST!
Which statement about the arrow is true?
A)
The arrow does not have rotational symmetry.
B)
The arrow has rotational symmetry after a 90° rotation.
C)
The arrow has rotational symmetry after a 180° rotation.
D)
The arrow has rotational symmetry after a 270° rotation.
Answers
Answer:
B
Step-by-step explanation:
Answer:
Though you said that you would give " BRAINLIST IF YOU HELP FAST!" It doesn't mean that it is going to be the right answer. The correct answer is "ACTUALLY" C) The arrow has rotational symmetry after a 180° rotation.
Step-by-step explanation:
b.) Mark can run 5 blocks in 25 minutes. How many minutes does it take him to run 22 blocks?
Answers
Answer:
110 minutes or 1 hour and 50 minutes
Step-by-step explanation:
First, find out how long it takes Mark to run 1 block. You can find out how long it takes for him to run 1 block by dividing 5 from 25, which is 5. Then, multiply 5 times 22 because you are trying to find out how long it takes Mark to run 22 blocks. It takes Mark 110 minutes or 1 hour and 50 minutes to run 22 blocks.
Answer:
Mark can run 22 blocks in 110 minute
Step-by-step explanation:
Given
Blocks Time
5 25
22 (?)=x
now,
or, 5×x=25×22
or, 5x=550
or, x= 550/5
therefore, x= 110
Mark can run 22 blocks in 110 minute