Correct option is D) and E)
(3,7π/6),(3,11π/6)
What is Point of intersection?Point of intersection is the point where two lines or two curves meet each other.
The point of intersection of two lines of two curves is a point.
If two planes meet each other then the point of intersection is a line.
The term "point of intersection" refers to the intersection of two lines. The equations a1x+b1y+c1=0 and a2x+b2y+c2=0, respectively, are used to represent these two lines. The two lines' intersection point is shown in the following figure. The intersection of three or more lines can also be located.
According to the given information:let
5 + 4 sin(θ) = −6 sin(θ)
Then get
θ= -1/2
Then you can make it
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I understand that the question you are looking for is:
On the interval [0, 2π), which points are intersections of r = 5 4 sin(θ) and r = −6 sin(θ)? check all that apply.
A) -3,7/6
B) (-3,11/6)
C) (3,7/6)
D) (3,11/6)
c) Shin thinks of a number. She multiplies it bye 5 then subtract 7. The answer is he
same as 3 times a number plus 11. What number did shin think of?
Answer:
9
Step-by-step explanation:
let the number be y
5×y - 7 = 3×y + 11
5y-7 = 3y+11
collect like terms
5y-3y = 11+7
2y = 18
y = 18/2
y = 9
how to solve problem in the document
Find the width and heigth of a newer 47-inch television whose screen has an aspect ratio of 4:3
Find the área of the screen
Answer:
width: 37.6 inheight: 28.2 inarea: 1060.32 in²Step-by-step explanation:
The measurement used to describe a television is the length of its diagonal. The relation between the width, height, and diagonal is described by the Pythagorean theorem.
Diagonal unitsThe Pythagorean theorem tells us the relation between the sides of a right triangle and its hypotenuse. The diagonal of a rectangle is the hypotenuse of a right triangle whose sides are the width and height of the rectangle. If 'c' is the number of "ratio units" in the diagonal, we have ...
4² +3² = c²
c = √(16 +9) = 5
The diagonal of the screen is 5 ratio units, so the width is 4/5 of the length of the diagonal, and the height is 3/5 the length of the diagonal.
Screen dimensionsThe width is ...
(4/5)(47 in) = 37.6 in . . . width
The height is ...
(3/5)(47 in) = 28.2 in . . . height
AreaThe area is the product of the width and height:
A = WH = (37.6 in)(28.2 in) = 1060.32 in²
The area of the screen is 1060.32 square inches.
When you send out a resume, the probability of being called for an interview is 0. 40. what is the probability that the first interview occurs on the fifth resume that you send out?
The probability that the first interview occurs on the fifth resume that you sent is 0.2592.
According to the given question.
The probability of being called for an interview, p = 0.40.
So, the probability of not being called for an interview, q = 1 - 0.40 = 0.60
As we know that binomial distribution summarizes the number of trials, or observations when each trial has the same probability of attaining one particular value. The binomial distribution determines the probability of observing a specified number of successful outcomes in a specified number of trials.
Therefore, the probability that the first interview occurs on the fifth resume that you send out
= [tex]^{5} C_{1} (0.40)^{1} (0.60)^{4}[/tex]
= 5(0.40)(0.1296)
= 0.2592
Hence, the probability that the first interview occurs on the fifth resume that you sent is 0.2592.
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help me with this, correct answer get brainliest
Answer:
B
Step-by-step explanation:
PLEASE HELP IM STUCK PLS
Answer:
y is equal to -16
Answer:
y = 8
Step-by-step explanation:
We can use proportions for this question since y varies directly with x. This means that if x changes, y changes along with the x, and vice versa.
When y = -8, x = 4, so the proportion will be -8 : 4.
We need to find the y when x is 4, so our equation will be:
-8 : 4 = y : -4
Since the proportion will be the same.
Next, we multiply the inner two numbers, and the outer two numbers, saying that the values are the same.
4y = 32
y = 8
So y = 8 will be our answer!
What is the area of the sector of the circle below, if the radius is 5 m. and the central angle < AOB measures 88 °. (round answer to the nearest tenth)
Answer:
b 19.2
Step-by-step explanation:
a = [tex]\pi[/tex][tex]r^{2}[/tex] for a circle. We do not want to find the area for a whole circle. We only want to find the area for part of a circle. a hole circle is 360 degrees.
a = [tex]\frac{88}{360}[/tex][tex]\pi[/tex][tex]r^{2}[/tex]
a = [tex]\frac{88}{360}[/tex][tex]\pi[/tex]([tex]5^{2}[/tex])
a = 19.2 rounded.
The area of the sector of circle is b. 19.20 square meter.
What is the area of sector of circle?The space enclosed by the sector of circle is called area of the sector of circle.Mathematically,
Area of the sector of circle, A = θ/360πr²
where θ is the angle of the arc and r is the radius of the circle.
Now it is given that,
radius of the circle, r = 5m
Angle of arc, θ = 88°
Therefore, area ofsector of circle A = θ/360πr²
Put the values,
A = 88/360 π 5²
Solving the equation we get
A = 19.20 square meter.
Hence,the area of the sector of circle is b. 19.20 square meter.
So the correct answer is b.) 19.20 square meter.
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If 2 = x3, then x equals
A 05
B 01
C | 1
D 5
Answer:
D.
Step-by-step explanation:
When the dollar price of pounds rises, for example, from $1 = 1 pound to $2 = 1 pound, the dollar has ______ relative to the pound.
The dollar gains depreciated relative to the pound when the price of pounds in dollars increases, for instance, from $1 = 1 pound to $2 = 1 pound.
What is Depreciated relative?Devaluation of a currency can take place in both absolute and relative terms. When the value of one currency declines in relation to the values of other currencies, this is referred to as a relative devaluation. For instance, the British pound sterling may be worth more today than it did yesterday in terms of US dollars.
A currency's value declines when compared to other currencies, which is known as currency depreciation. Political unrest, interest rate differences, weak economic fundamentals, and investor risk aversion are a few examples of the causes of currency devaluation.
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Mike wants to find the confidence interval for a set of data. he knows the sample size and the sample proportion. which other piece of information does he need to determine the confidence interval?
Using the formula for a z-distribution confidence interval of proportions, he also needs to know the confidence level.
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.Of these 3 itens, the problem states that he knows the sample size and the sample proportion, hence he needs to know z to determine the confidence interval. z depends on the confidence level, which is the remaining parameter.
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Write a series of instructions that will multiply eax by 18, using a combination of shift, mov, and add instructions
MOV EBX,EAX
SHL EAX,4
SHL EBX,1
ADD EAX,EBX these are the series of instructions that will multiply eax by 18, using a combination of shift, mov, and add instructions.
STEPS:
1. Copy EAX into another register, say EBX
2. We know that shift left by 'n' bits results in multiplication with 2^'n' , so perform shift left operation of EAX by 4 bits ( results in multiplication of EAX with 16) and perform shift left operation of EBX by 2 bits(results in multiplication of EBX with 2)
3. Now add EAX and EBX which is the required answer ( Since, i*16 + i*2 equals to i*18 )
INSTRUCTIONS:
mov ebx,eax ; make copy
shl eax,4 ; eax * 16
shl ebx,1 ; ebx * 2
add eax,ebx ; answer
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Find the center of a circle with the equation: x2 y2−32x−60y 1122=0 x 2 y 2 − 32 x − 60 y 1122 = 0
The equation of a circle exists:
[tex]$(x-h)^2 + (y-k)^2 = r^2[/tex], where (h, k) be the center.
The center of the circle exists at (16, 30).
What is the equation of a circle?
Let, the equation of a circle exists:
[tex]$(x-h)^2 + (y-k)^2 = r^2[/tex], where (h, k) be the center.
We rewrite the equation and set them equal :
[tex]$(x-h)^2 + (y-k)^2 - r^2 = x^2+y^2- 32x - 60y +1122=0[/tex]
[tex]$x^2 - 2hx + h^2 + y^2 - 2ky + k^2 - r^2 = x^2 + y^2 - 32x - 60y +1122 = 0[/tex]
We solve for each coefficient meaning if the term on the LHS contains an x then its coefficient exists exactly as the one on the RHS containing the x or y.
-2hx = -32x
h = -32/-2
⇒ h = 16.
-2ky = -60y
k = -60/-2
⇒ k = 30.
The center of the circle exists at (16, 30).
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Apyrotechnician plans for two fireworks to explode together at the same
height in the air. They travel at speeds shown below. Firework B is launched
0.25 s before Firework A. How many seconds after Firework B launches will
both fireworks explode?
Firework A Firework B
320 fts
240 fuis
Both fireworks will explode _?seconds after Firework B launches.
A man left rs 1,800,000 as inheritance.his heirs are 6 daughters and 2 sons.find the share of each heir
Answer:$225,000 each
Step-by-step explanation: Assuming that they each get an equal share of the inheritance, there are 8 shares of the inheritance so we divided the $1.8m by 8 which equals $225,000 each.
What is the next number in the arithmetic sequence below??
I think it's D but I'm not sure.
find the value of n:
[tex]\frac{10}{n} =\frac{15}{6}[/tex]
find the value of x and y that satisfies both the equaties x/y= 2/3 and y/24=3/4
Answer:[tex]\Large\boxed{x=12~;~y=18}[/tex]
Step-by-step explanation:
Given a system of equations
[tex]1)~\frac{x}{y} =\frac{2}{3}[/tex]
[tex]2)~\frac{y}{24} =\frac{3}{4}[/tex]
Multiply 24 on both sides of 2) equation to isolate y-value
[tex]\frac{y}{24}\times24 =\frac{3}{4}\times24[/tex]
[tex]\Large\boxed{y=18}[/tex]
Substitute the y-value into the 1) equation
[tex]\frac{x}{18} =\frac{2}{3}[/tex]
Multiply 18 on both sides of 1) equation to isolate y-value
[tex]\frac{x}{18}\times18 =\frac{2}{3}\times18[/tex]
[tex]\Large\boxed{x=12}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Find the value of x
a. 13 b. 14/5 c. 5 d. 8
Using the chord theorem, option C is the best solution since x = 5.
The four line segments that are created by two intersecting chords inside of a circle are explained by the chord theorem, sometimes referred to as the intersecting chords theorem, a statement in fundamental geometry. The products of the line segment lengths on each chord are equal, according to this assertion.
The value of x must be determined in order to answer the question.
We may determine the following using the chord property:
8*x = 4*10,
or, 8x = 40,
or, x = 40/8,
or x = 5.
Given that x = 5, option C is the best option according to the chord theorem.
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Find the radius of convergence, then determine the interval of convergence
By the ratio test, the series converges for
[tex]\displaystyle \lim_{k\to\infty} \left|\frac{(x+2)^{k+1}}{\sqrt{k+1}} \cdots \frac{\sqrt k}{(x+2)^k}\right| = |x+2| \lim_{k\to\infty} \sqrt{\frac k{k+1}} = |x+2| < 1[/tex]
so that the radius of convergence is 1, and the interval of convergence is
|x + 2| < 1 ⇒ -1 < x + 2 < 1 ⇒ -3 < x < -1
The radius of convergence R is 1 and the interval of convergence is (-3, -1) for the given power series. This can be obtained by using ratio test.
Find the radius of convergence R and the interval of convergence:Ratio test is the test that is used to find the convergence of the given power series.
First aₙ is noted and then aₙ₊₁ is noted.
For ∑ aₙ, aₙ and aₙ₊₁ is noted.
[tex]\lim_{n \to \infty} |\frac{a_{n+1}}{a_{n} }|[/tex] = β
If β < 1, then the series convergesIf β > 1, then the series divergesIf β = 1, then the series inconclusiveHere [tex]a_{k}[/tex] = [tex]\frac{(x+2)^{k}}{\sqrt{k} }[/tex] and [tex]a_{k+1}[/tex] = [tex]\frac{(x+2)^{k+1}}{\sqrt{k+1} }[/tex]
Now limit is taken,
[tex]\lim_{n \to \infty} |\frac{a_{n+1}}{a_{n} }|[/tex] = [tex]\lim_{n \to \infty} |\frac{(x+2)^{k+1} }{\sqrt{k+1} }/\frac{(x+2)^{k} }{\sqrt{k} }|[/tex]
= [tex]\lim_{n \to \infty} |\frac{(x+2)^{k+1} }{\sqrt{k+1} }\frac{\sqrt{k} }{(x+2)^{k}}|[/tex]
= [tex]\lim_{n \to \infty} |{(x+2) } }{\sqrt{\frac{k}{k+1} } }}|[/tex]
= [tex]|{x+2 }|\lim_{n \to \infty}}{\sqrt{\frac{k}{k+1} } }}[/tex]
= [tex]|{x+2 }|[/tex] < 1
- 1 < [tex]{x+2 }[/tex] < 1
- 1 - 2 < x < 1 - 2
- 3 < x < - 1
We get that,
interval of convergence = (-3, -1)
radius of convergence R = 1
Hence the radius of convergence R is 1 and the interval of convergence is (-3, -1) for the given power series.
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someone help me out please
Answer:
[tex]\displaystyle x=\frac{5}{4},\;\;1\frac{1}{4}, \;\; or \;\; 1.25[/tex]
Step-by-step explanation:
To solve for x, we need to isolate the x variable.
Given:
[tex]\displaystyle x+\frac{1}{2} =\frac{7}{4}[/tex]
Subtract [tex]\frac{1}{2}[/tex] from both sides of the equation:
[tex]\displaystyle (x+\frac{1}{2})-\frac{1}{2} =(\frac{7}{4})-\frac{1}{2}[/tex]
[tex]\displaystyle x=\frac{7}{4}-\frac{1}{2}[/tex]
Now, we will create common denominators to simplify.
[tex]\displaystyle x=\frac{7}{4}-\frac{2}{4}[/tex]
[tex]\displaystyle x=\frac{5}{4}[/tex]
PLS HELP IM SO STUCK
3x-2y= 7
Slope intercept form y= mx+b
3x- 2y= 7
- 3x -3x
-2y/-2= 3x/-2 - 7/2
y= 3x/-2 -7/2
Answer:
3x/2 and the second 7/-2y
Step-by-step explanation:
thats how is what i got
Use the ratio test to determine whether the series is convergent or divergent. 2 4/2^2 8/3^2 16/4^2 ......
I assume the given series is
[tex]\displaystyle 2 + \frac4{2^2} + \frac8{3^2} + \frac{16}{4^2} + \cdots = \frac{2^1}{1^2} + \frac{2^2}{2^2} + \frac{2^3}{3^2} + \frac{2^4}{4^2} + \cdots = \sum_{n=1}^\infty \frac{2^n}{n^2}[/tex]
By the ratio test, the series diverges, since
[tex]\displaystyle \lim_{n\to\infty} \left|\frac{2^{n+1}}{(n+1)^2} \cdot \frac{n^2}{2^n}\right| = 2 \lim_{n\to\infty} \frac{n^2}{(n+1)^2} = 2 > 1[/tex]
3. Bob has 8 pieces of square index cards that each measures 8 inches per side. Using a pair of scissors, he cuts each piece in half (so the resulting size is 8” x 4”) and then places all the resulting card pieces in a new stack. If he repeats this procedure 4 more times, how many pieces of card stock will he have and what will be the measure of each piece? (Note: All cuts will be made along the longer edge of the piece if the piece of index card is not square.)
The number of pieces of card stock which would result upon the process repetition is; 256 pieces.
What is the number of card stock pieces resulting from the cutting process?According to the task content, it follows that since, there are 8 pieces of the 8 inches per side cards initially, the resulting number of cards after carrying out the process of cutting cards into half five, 5 times is;
No of cards = 8 (2)⁵
No. of cards = 256 pieces.
The size of each of the cards in discuss provided that all cuts will be made along and not across the longer edge is; 8 by 1/4 inches.
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Measure of angle TRV?
Answer:
130 degrees
Step-by-step explanation:
We know (x-10)+(2x+10) is 180 degrees.
So first we need to find x. (x-10)+(2x+10)=3x
3x=180
x=60
Angle TRV is 2x+10.
If we input 60 in the place of x, it is 2(60)+10=120+10=130.
The answer is 130 degrees.
a=5
b=12
c=10
d=2
1. 2b-a
2. d(ab-c)
3. 3 + b/d
4. 4a/b+4d
5. b-c+d
Quick algebra 1 question for 25 points!
Only answer if you know the answer, Tysm!
Using a quadratic regression equation, it is found that the prediction of volunteers in year 10 is of:
A. 47.
How to find the equation of quadratic regression using a calculator?To find the equation, we need to insert the points (x,y) in the calculator.
In this problem, we have that the function initially increases, then it decreases, which means that it is a quadratic function. The points (x,y) to be inserted into the calculator are given as follows:
(1, 20), (2,17), (3, 16), (4,16), (5,18), (6,21), (7,25), (8,31)
Inserting these points into the calculator, the prediction of y for a value of x is given as follows:
y = 0.702x^2 - 4.726x + 23.857
Hence, when x = 10, the prediction is:
y = 0.702 x 10² - 4.726 x 10 + 23.857
y = 47.
Hence option A is correct.
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Graph paper recommended***
Quadrilateral MATH includes the points M(2,-4) and A(5,-2).
Part A: Find coordinates for T and H such that quadrilateral MATH is a rectangle.
Part B: Prove that the resulting quadrilateral is a rectangle.
18
a) The coordinates for T and H such that quadrillateral MATH is a rectangle are T(x, y) = (2, - 2) and H(x, y) = (5, - 4).
b) The quadrilateral MATH is a rectangle.
How to create and analyze quadrillateral on a Cartesian plane
Quadrilaterals are figures with four sides and whose internal angles sums a total of 360 degrees. A quadrilateral is a rectangle when each pair of opposite sides are parallel and have the same length to each others, each of the four angles are right angles and each pair of perpendicular sides.
a) Vectorially speaking, we can construct a rectangle by using the following definitions:
M(x, y) = (a, b), A(x, y) = (c, d), T(x, y) = (a, d), H(x, y) = (c, b)
If we know that a = 2, b = - 4, c = 5, d = - 2, then the points T and H are described below:
T(x, y) = (2, - 2), H(x, y) = (5, - 4)
The coordinates for T and H such that quadrillateral MATH is a rectangle are T(x, y) = (2, - 2) and H(x, y) = (5, - 4).
b) To prove that quadrilateral MATH, we need to prove that:
MT = HA
(2, - 2) - (2, - 4) = (5, - 2) - (5, - 4)
(0, 2) = (0, 2)
TA = MH
(5, - 2) - (2, - 2) = (5, - 4) - (2, - 4)
(3, 0) = (3, 0)
MT • TA = 0
(0, 2) • (3, 0) = 0 · 3 + 2 · 0 = 0
MH • HA = 0
(3, 0) • (0, 2) = 3 · 0 + 0 · 2 = 0
Therefore, the quadrilateral MATH is a rectangle.
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A trander an article at 10% loss. If he had sold it for Rs.540 more , he would have gain 5% . Find the cost price of the articles.
The answer is :3600
Answer:
3600
Step-by-step explanation:
Reason is because you put the answer in your question.
Answer:
Rs.10800
Step-by-step explanation:
loss of article(L%)=10%
s.p=?
c.p of an article (c.p)=c.p
Now,
s.p=100-L%×c.p
_____
100
= 100-10 ×c.p
_____
100
=90 ×c.p
___
100
=0.9 × c.p
if article sold with Rs. 540 more
Article profit =5%
s.p =c.p + 540 =100+p%×c.p
______
100
or, c.p +540=105×c.p
______
100
or, c.p +540=1.05×c.p
or,c.p +540=1.05c.p
or, 540=1.05c.p-c.p
or,540=0.05c.p
or, 540=c.p
____
0.05
Therefore, c.p =Rs. 10800
In each of the following, the type of variation is given along with 1 data point. Find the variation constant. a. direct variation; y = Kx where x = 3 and y = 6 b. inverse square variation; y = K/x2 where x = –2 and y = 1 c. inverse variation; y = K/x where x = 8 and y = 10 d. inverse variation; y = K/x where x = 3 and y = 3 e. direct square variation; y = Kx 2 where x = 5 and y = 15 f. direct variation; y = Kx where x = –7.5 and y = 6.3
For direct variation, variation constant = 2.
For inverse square variation, variation constant = 4.
For inverse variation, variation constant =80.
For inverse variation, variation constant = 9.
For direct square variation, variation constant = 0.6
For direct variation, variation constant = -0.84
(a) Direct variation: y = Kx where x = 3 and y = 6
Variation constant(k) = y/x = 6/3 =2
(b) Inverse square variation: y = K/[tex]x^{2}[/tex] where x = -2 and y = 1
Variation constant(k) = y[tex]x^{2}[/tex] = 1(-2)(-2) =4
(c) Inverse variation: y = K/x where x = 8 and y = 10
Variation constant(k) = y*x = 8*10 =80
(d) Inverse variation: y = K/x where x = 3 and y = 3
Variation constant(k) = y*x = 3*3 =9
(e) Direct square variation: y = K[tex]x^{2}[/tex] where x = 5 and y = 15
Variation constant(k) = y/[tex]x^{2}[/tex] = 15/25 =0.6
(f) Direct variation: y = Kx where x = -7.5 and y = 6.3
Variation constant(k) = y/x = -6.3/7.5 = -0.84
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Thirty percent of high-school senior boys play in the school band. If a certain high school has 60 senior boys, how many boys play in the school band?
(A) 12
(B) 18
(C) 22
(D) 30