Answer:Rewrite the cartesian equation as a polar equation.
Rewrite the cartesian equation as a polar equation.r
Rewrite the cartesian equation as a polar equation.r2
Rewrite the cartesian equation as a polar equation.r2cos
Rewrite the cartesian equation as a polar equation.r2cos2
Rewrite the cartesian equation as a polar equation.r2cos2(
Rewrite the cartesian equation as a polar equation.r2cos2(θ
Rewrite the cartesian equation as a polar equation.r2cos2(θ)
Rewrite the cartesian equation as a polar equation.r2cos2(θ)−
Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6
Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6r
Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6rcos
Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6rcos(
Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6rcos(θ
Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6rcos(θ)
Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6rcos(θ)−
Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6rcos(θ)−r
Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6rcos(θ)−rsin
Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6rcos(θ)−rsin(
Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6rcos(θ)−rsin(θ
Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6rcos(θ)−rsin(θ)
Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6rcos(θ)−rsin(θ)=
Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6rcos(θ)−rsin(θ)=−
Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6rcos(θ)−rsin(θ)=−9
Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6rcos(θ)−rsin(θ)=−9Tap to view steps...
The quadratic function which is represented by the graph of a Parabola fails the Horizontal Line Test thus is not a one to one function. Therefore the inverse is not a function unless with restricted domain.
Edit: Adding the solution below to address update in the comments:
y
=
(
x
+
3
)
2
x
=
(
y
+
3
)
2
±
√
x
=
y
+
3
y
=
−
3
±
√
x
=> inverse relation
Restricting the domain: Recall that the domain and the range of the inverse function are the range and the domain of the original function respectively. The range of the original function in this case is
y
≥
0
, that should be the domain of the inverse function so for the inverse function we take the positive square root as follow:
f
−
1
(
x
)
=
−
3
+
√
x
=> this is the inverse function the domain and the range are:
domain:
x
≥
0
range:
y
≥
−
3
This means we need to restrict the domain of the original function to:
x
≥
−
3
in order for it to have an inverse function.
What is the area of the given triangle?
Answer:
B 12
Step-by-step explanation:
4 x 6 = 24 divided by 2 = 12
please can i have help answering the question in the picture
Hey there!
Answer: [tex] \Rightarrow \sf{\frac{x+3}{x -2}}[/tex]
[tex] \rightarrow \sf{ \frac{ {x}^{2} + 5x + 6 }{ {x}^{2} - 4 } }[/tex]
[tex] \rightarrow{ \rm{factorise} \sf{ \frac{ {x}^{2} + 5x + 6 }{ {x}^{2} - 4 } } = \frac{(x + 2)(x + 3)}{ {x}^{2} - 4} = \frac{(x + 2)(x + 3)}{(x + 2)(x - 2)} = \Rightarrow \sf{\frac{x+3}{x -2}}}[/tex]
What is the equation of the line that passes through the point (-2,-1) and has a slope of 1/2? ?
equation of line will be
y+1=1/2(x+2)
Hello!
Let's write the equation of the line in both Point-Slope Form and Slope-Intercept Form.
First, point-slope form:
y-y1=m(x-x1)
y-(-1)=1/2(x-(-2) (Point-Slope Form)
Now, convert into Slope-Intercept form:
y+1=1/2(x+2)
y+1=1/2x+1
y=1/2x+1-1
y=1/2x
Hence, the equation of the line is
[tex]\boxed{\boxed{\bold{y=\frac{1}{2}}} }[/tex] (Slope-Intercept Form)
Hope everything is clear.
Let me know if you have any questions!
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:-)
A garden is the shape of a triangle. It has a perimeter of 27 meters. Each side of the garden is the same length.
What is the length of each side of the garden?
3 meters
6 meters
9 meters
27 meters
Answer: 9 meters
Step-by-step explanation:
Let's list what we know
The garden is in the shape of a triangle
The perimeter of the garden is 27 meters
Each side is the same length
The perimeter of something is the sum of all the side lengths added together. We know that the garden is a triangle and triangles have 3 sides
Since all the sides are the same length we can divide 27 by 3 to find the length of each side
27/3=9
A ball is dropped from a height of 9 m. Each time it strikes the ground it bounces vertically to a height that is 2/3 of the preceding height. Find the total distance the ball will travel if it is assumed to bounce infinitely often. show all work.
Answer:
The answer i 9
Step-by-step explanation:
If the ball bounces 2/3 of the height of 9, and a 1/3 of 9 is 3, then 6 is the answer.
How many distinct subsets of the set $s=\{1,8,9,39,52,91\}$ have three-digit sums?
The number of distinct subset of the set is an illustration of combination
There are 34 distinct subset of the set that have three digit sums
How to determine the number of distinct subsets?The set is given as:
S = {1,8,9,39,52,91}
Group the elements
S = {(1,8),9,39,52,91}
So, we have:
S ={s1,s2,s3,s4,s5}
To have a three-digit sum, the sum of the selected elements must be 100 or above.
The number of ways the above set can be selected is:
[tex]n_1 = 4 * [^3C_1 + ^3C_2 + ^3C_3] + 1[/tex]
Evaluate
[tex]n_1 = 4 * [3 + 3 + 1] + 1[/tex]
[tex]n_1 = 29[/tex]
The set can be further rearranged as:
S = {(52,39),9,(8,1)}
i.e.
S = {b1,b2,b3}.
The number of ways the above set can be selected such that the sum is 100 or above is:
[tex]n_2 = 2 * [^2C_1] + 1[/tex]
Evaluate
[tex]n_2 = 2 * 2 + 1[/tex]
[tex]n_2 = 5[/tex]
So, the total number of ways is:
[tex]n = n_1 +n_2[/tex]
This gives
[tex]n = 29 +5[/tex]
[tex]n = 34[/tex]
Hence, there are 34 distinct subset of the see that have three digit sums
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There are 34 distinct subsets of the see that have three-digit sums.
What are distinct subsets of the set?When we know that S is a subset of T, we place the circle representing S inside the circle representing T.
The set is given as:
S = {1,8,9,39,52,91}
Group the elements
S = {(1,8),9,39,52,91}
S ={s1,s2,s3,s4,s5}
To have a three-digit sum, the sum of the selected elements must be 100 or above.
The number of ways the above set can be selected is:
[tex]\rm n_1=4\times (^3C_1+^3C_2+^3C_3)+1\\\\n_1=4(3+3+1)+1\\\\n_1=4 \times 7+1\\\\n_1=28+1\\\\n_1=29[/tex]
The set can be further rearranged as:
S = {(52,39),9,(8,1)}
S = {b1,b2,b3}.
The number of ways the above set can be selected such that the sum is 100 or above is:
[tex]\rm n_2=2\times ^2C_1+1\\\\n_2= 2\times 2+1\\\\n_2=4+1\\\\n_2=5[/tex]
The distinct subsets of the set are;
[tex]\rm n_1+n_2=29+5 =34[/tex]
Hence, there are 34 distinct subsets of the see that have three-digit sums.
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∠C and ∠D are complementary.
Let m∠C=(8x)° and m∠D=(5x−1)°.
What is the value of x?
Enter your answer in the box.
x =
Answer:
x = 7Step-by-step explanation:
Complementary angles are angles that add up to 90°.
We have C and D as complementary.
Their sum is:
m∠C + m∠D = 90Substitute values and solve for x:
8x + 5x - 1 = 9013x = 90 + 113x = 91x = 91/13x = 7Answer:
x = 7
Step-by-step explanation:
Complementary angles are two angles that sum up to 90°. In this case, we are given that ∠C and ∠D are complementary. This means that the sum of ∠C and ∠D is equivalent to 90°.
⇒ ∠C + ∠D = 90°
⇒ 8x + 5x - 1 = 90° [∠C = 8x; ∠D = 5x - 1]
⇒ 13x - 1 = 90°
⇒ 13x = 90 + 1
⇒ 13x = 91
⇒ 13x/13 = 91/13
⇒ x = 91/13 = 7
Teleia bought 25 shirts for $237.50. How much would only one shirt cost?
Answer:
$9.50
Step-by-step explanation:
Divide 237.50 by 25
Covert 135 degrees to radian
Answer:
2.35619
Step-by-step explanation:
Answer:
2.35619
Step-by-step explanation:
Deg to Rad = ° x pi / 180
How to find the area of a half of a square?
Answer:
if u make the square half by its midpoint then we can find its area by using the area of rectangle.
if u make the square half from the diagonal we can find its area by using area of triangle.
Complete the square to transform the expression x2 6x 5 into the form a(x − h)2 k. (x 6)2 4 (x 6)2 − 4 (x 3)2 − 4 (x 3)2 4
An equation is formed of two equal expressions. The equation x²+6x+5 into the form a(x − h)²+k is written as (x+3)²-4.
What is an equation?
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The transformation of the equation from x²+6x+5 into the form a(x − h)²+k can be done in the following steps as shown below,
1. Taking +5 on the right-hand side of the equation,
[tex]x^2+6x+5 = 0\\\\x^2+6x = -5[/tex]
2. Now if we add +9 on both sides of the equation, we will get,
[tex]x^2+6x = -5\\\\x^2+6x+9 = -5+9[/tex]
3. Now we look at the left side of the equation as the square of the binomial expression (x+3).
[tex]x^2+6x+9 = -5+9\\\\(x+3)^2 =4[/tex]
4. Taking +4 from the right side of the equation to the left side of the equation,
[tex](x+3)^2 =4\\\\(x+3)^2 -4=0[/tex]
Thus, the equation is in the form of a(x − h)²+k, where the value of a is 1, h is -3 and the value of k is -4.
Hence, the equation x²+6x+5 into the form a(x − h)²+k is written as (x+3)²-4.
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A pool supply company sells 50-pound buckets of chlorine tablets. A customer believes that the company may be underfilling the buckets. To investigate, an inspector is hired. The inspector randomly selects 30 of these buckets of chlorine tablets and weighs the contents of each bucket. The sample mean is 49.4 pounds with a standard deviation of 1.2 pounds. The inspector would like to know if this provides convincing evidence that the true mean weight of the chlorine tablets in the 50-pound buckets is less than 50 pounds, so he plans to test the hypotheses H0: μ = 50 versus Ha: μ < 50, where μ = the true mean weight of all 50-pound buckets of chlorine tablets. Are the conditions for inference met?
No, the random condition is not met.
No, the 10% condition is not met.
No, the Normal/large sample condition is not met.
Yes, all conditions for inference are met.
The answer is: Yes, all conditions for inference are met.
Express the decimal as a percent. 1.276
60 points.
To change a decimal to a percentage, all that we have to do is multiply the decimal by 100 (or move the decimal point to the right two places).
1.276 x 100 = 127.6
Percentage: 127.6%
Hope this helps!
Draw any ∆ ABC with ^B = 90°
Answer:
In ∆ABC, ∆CBA, ∆ACB
^B = 90°
If the radius of a circle is x cm. what is the length of it's circumferences?
Answer:
44/7x
Step-by-step explanation:
circumference of circle= 2πr
=2×22/7×x
=44/7x
From a population with a variance of 900, a sample of 225 items is selected. At 95% confidence, the margin of error is.
Answer:
3.92
Step-by-step explanation:
From a population with a variance of 900, a sample of 225 items is selected. At 95% confidence, the margin of error is 3.92.
What is margin of error?The margin of error is a statistic expressing the amount of random sampling error in the results of a survey. The larger the margin of error, the less confidence one should have that a poll result would reflect the result of a census of the entire population. The margin of error will be positive whenever a population is incompletely sampled and the outcome measure has positive variance, which is to say, the measure varies.
Margin of error at alpha level of significance =
Z score at alpha level of significance * sqrt(variance/ sample size)
Z score at 5% level of significance = 1.96
Variance = 900
Sample size = 225
Margin of error = [tex]1.96 *\sqrt{\frac{900}{225} } = 1.96*\frac{30}{15} = 3.92[/tex]
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someone help me please
if raymond had 50 dogs and gets 80 how many does he have?
Answer:
50+80 = 130
Step-by-step explanation:
Answer:
50+80=130
Step-by-step explanation:
please mark me the brainiest
Given the 4 points below, identify what shape is formed and how you found your answer. Drawn out.
A(-1, 0), B(0, 2), C(4, 0), and D(3, -2)
My answer:
RectangleMy Explanation:
The reason why this is my answer, is because you can see in the picture, I have this coordinate grid, and on that, I drew out these points, and hence, I got this picture.
Refer to the picture below!
~BrainlyMaster~ - Helping Students
find the area of this circle. Use 3.14 as (pie symbol) click the photo to see the circle ! Please help
Answer:
Its 452.16
Step-by-step explanation:
Because the formal is [tex]\pi[/tex]r2
Which is 3.14*12*12=452.16
Simon's dog jumped into a stream at a 68° angle from the corner of a bridge. simon crossed the bridge and walked downstream to meet the dog.
part a how long is the bridge, in feet?
part b how many feet did the dog swim?
The length of the bridge is 12.12 feet.
The length the dog swam is 32.36 feet.
The situation forms a right angle triangle.
What is a right angle triangle?A right angle triangle has one of its angles as 90 degrees. Therefore, the sides and angle can be found using trigonometric ratios.
The length of the bridge is the opposite side of the triangle and the length the dog swim is the hypotenuse side of the triangle.
Therefore,
Let's find the length of the bridge as follows:
tan 68° = opposite / adjacent
tan 68° = 30 / l
cross multiply
l = 30 / tan 68
l = 12.1212121212
length of the bridge = 12.12 ft
The length the dog swim is as follows:
sin 68°= opposite / hypotenuse
sin 68° = 30 / h
h = 30 / sin 68
h = 32.3561767942
The distance the dog swimmed = 32.36 ft
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Which of the following statements is FALSE?
AO = 7.8 cm
c1 = 40°
BO = 7.8 cm
a2 = 40°
Parallelogram is a quadrilateral with equal diagonals. The statement BO = 7.8 cm is the only false statement
Properties of a parallelogramFrom the given diagram, the opposite sides and angle of the figure are the same but the diagonals are not equal. This shows that:
m<B = m<D
m<A = m<C
Since the diagonals are not equal that is BD is not equal to AC, hence:
OB ≠ OC
Hence the statement BO = 7.8 cm is the only false statement
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Answer:BO = 7.8 cm
Step-by-step explanation: just did the quiz
Find the distance between the pair of points.
(-2,-18) and (-8,-22)
Answer:
7.21 units
Step-by-step explanation:
hope this helps!
NO LINKS!!! Which term describes a line segment that connects a vertex of a triangle to a point on the line containing the opposite side, so that the line segment is perpendicular to that line?
Answer: C
Step-by-step explanation:
154-54(79-1554)+12x24
Answer:
80092
Step-by-step explanation:
Answer:
80092.Step-by-step explanation:
Given equation:
154 - 54 * (79 - 1554) + 12 * 24Step-By-Step:
Step 1
Subtract the numbers:
154 - 54 * (79 - 1554) + 12 * 24= 154 - 54 * (-1475) + 12 * 24Step 2
Multiply the numbers:
154 - 54 * (-1475) + 12 * 24= 154 + 79650 + 288Step 3
Add the numbers:
154 + 79650 + 288= 80092.Answer is 80092.
Evaluate the expression for p = 3.
2p =
Answer:
6
Step-by-step explanation:
2 x 3
need help on this ratio question 4:8 in simplist form then into a fraction?
Answer:
4:8 in simplified form would be 1/2
Step-by-step explanation:
Think of 4:8 as a fraction, so 4/8. Now, you can reduce it to the lowest form, which is 1/2. How? 4 is the numerator, and 8 is our denominator. Now, we divide 4 by 8. 4 divided by 8 equals 0.5, where 0.5 is converted into 1/2!
yeah help me okay thanks
Answer:
4
3
Step-by-step explanation:
A teacher assigns a score from 1 to 4 to each student project. the table below shows the probability distribution of the scores for a randomly selected student. which score is most likely? probability distribution score: x probability: p(x) 1 0.06 2 0.20 3 0.48 4 0.26 1 2 3 4
The score which is assigned from 1 to 4 by the teacher to each student for the project and is most likely to be is 3 with 0.48 probability.
What is probability distribution?Probability distribution is the statistical model which represent all the achievable and similar values of a random variable that it can possess in a specified range.
A teacher assigns a score from 1 to 4 to each student project. the table below shows the probability distribution of the scores for a randomly selected student.
Probability distribution score: 1, 2, 3, 4, x probability: p(x) 0.06, 0.20, 0.48, 0.26In the above data, the height probability of selection is 0.48. This probability belongs to the score 3.
Thus, the score which is assigned from 1 to 4 by the teacher to each student for the project and is most likely to be is 3 with 0.48 probability.
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Answer:
C on edge
Step-by-step explanation:
3
What are the x-intercepts of ? f(x)=x3+4x2-9x-36? A. (1,0),(2,0),(3,0) B. (-1,0),(2,0),(18,0) C. (-6,0)(2,0)(3,0) D.(-4,0),(-3,0)(3,0)
Answer:
D. (-4,0),(-3,0)(3,0)
Step-by-step explanation: