Answer: b)>3
a) for the graph
Step-by-step explanation:
Find a polar equation of the conic in terms of r with its focus at the pole. Conic Eccentricity Directrix Parabola e = 1 x = −1
Answer:
Step-by-step explanation:
From the given information:
The Directrix x = - 1
The eccentricity e = 1
Since the Directrix x = - 1, it implies that the directrix appears on the left negative side of the pole and is vertical.
Hence, the conic equation in terms of r is:
\(\mathsf{r =\dfrac{ep}{1-e \ cos \ \theta}}\)
From the directrix to the pole, the distance p = 1
So;
\(\mathsf{r =\dfrac{1*1}{1-1 \ cos \ \theta}}\)
\(\mathbf{r =\dfrac{1}{1- \ cos \ \theta}}\)
Which of the following is the value of a when the function (x) - 3|xlis written in the standard form of an absolute value
function?
Answer:1
Step-by-step explanation:2
2
The value of a when the function f(x) = 3|xl is written in the standard form of an absolute value function is 3.
What is meant by an absolute function ?An absolute function is defined as a function which consists of an algebraic expression that is within absolute value symbols.
Here,
The standard form of the absolute value function is written by,
f(x) = a|x|
Given that,
f(x) = 3|x|
Comparing this with the standard form, we get,
a|x| = 3|x|
Therefore, a = 3
Hence,
The value of a when the function f(x) = 3|xl is written in the standard form of an absolute value function is 3.
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Two data sets have the same mean,
8. However, the MAD of Data Set A is 2 and the
MAD of Data Set B is 4. What does this indicate
about the variability of the data sets?
For Data Set B, we see that the data is more varied. The absolute deviations are 4, 3, 2, 5. The average of these absolute deviations is 3.5. MAD_B = (4+3+2+5)/4 =3.5 M ADB
Hence, The average of these absolute deviations is 3.5.
Hiking Two hikers are walking along a marked trail. The first hiker starts at a
point 6 mi from the beginning of the trail and walks at a speed of 4 mi/h. At the
same time, the second hiker starts 1 mi from the beginning and walks at a speed
of 3 mi/h.
a. What is a system of equations that models the situation?
b. Graph the two equations and find the intersection point.
C. Is the intersection point meaningful in this situation? Explain
Answer:
You can find your answer here
(at quizlet. Its not letting me post the link tho)
Step-by-step explanation:
(just log into your account and it will let you see it)
3 1/5+n=9 which can be used to solve this equation
convert 15/16 into a decimal and then a percent.
Answer:
0.9375 | 93.75%
Step-by-step explanation:
g o o g l e
for the percent times the decimal by 100 and for the decimal just divide the fraction by it self so 15 divided by 16
Answer:
0.9375
93/75%
Step-by-step explanation:
Perform the division:
15 / 16 = 0.9375
and then find the percent form by multiplying this result by 100:
0.9375 * 100 = 93.75%
without using a calculator, find the hypotenuse of a right triangle that has legs with lengths $264$ and $495$.
The hypotenuse of a right triangle will be $561$.
What is hypotenuse?
In a right triangle, the hypotenuse is the longest side, an "opposite" side is the one across from a given angle, and an "adjacent" side is next to a given angle.
Lengths of legs of a right triangle are given that are $264$ and $495$.
According to The Pythagorean Theorem,
\(hypotenuse^{2} = lenght^{2} + lenght^{2}\\hypotenuse^{2} = 264^{2} + 495^{2}\\\\hypotenuse^{2} = 69,696 + 245,025\\ hypotenuse^{2} = 314,721\\hypotenuse = 561\)
The hypotenuse of a right triangle will be $561$.
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A section of a rectangle is shaded to form a trapezoid. The lengths of the 2 bases are 7 and x. The length of a side that forms a right angle with side x is 7. A section of a rectangle is shaded. The area of the shaded section is 63 square units. What is the value of x?
Given the shaded area of 63 square units, and the lengths of the bases and the right angle side, we can set up an equation using the formula for the area of a trapezoid. By solving this equation, we find that x is equal to 11.
Let's analyze the given information step by step to find the value of x.
We have a rectangle with two bases, one measuring 7 units and the other measuring x units. Additionally, there is a right angle formed with side x, which means that the height of the trapezoid is also 7 units. We are told that the area of the shaded section is 63 square units.
The formula to calculate the area of a trapezoid is (base1 + base2) * height / 2. Applying this formula to our situation, we can write the equation as (7 + x) * 7 / 2 = 63.
Simplifying the equation, we have (7 + x) * 7 = 126.
Expanding, we get 49 + 7x = 126.
Subtracting 49 from both sides, we have 7x = 77.
Dividing both sides by 7, we find x = 11.
Therefore, the value of x is 11.
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PLS HELP WILL GIVE BRAINLIEST IF ANSWER IS RIGHT (NO LINKS)
Identify the three-dimensional figure that can be made from this net.
Answer:
The answer is D. Cone
Step-by-step explanation:
Calculate the lengths of the 2 unlabeled sides. GJ?
Answer:
Length of hypotenuse JH = 9.2 unit (Approx.)
Length of perpendicular JG = 6.5 unit
Step-by-step explanation:
Given:
Length of base GH = 6.5 unit
Angle of H = 45°
Find:
Length of perpendicular JG
Length of hypotenuse JH
Computation:
Using trigonometry function:
Tan θ = Perpendicular / Base
Tan 45 = Perpendicular / 6.5
1 = Perpendicular / 6.5
Perpendicular = 6.5
Length of perpendicular JG = 6.5 unit
hypotenuse = √perpendicular² + base²
Length of hypotenuse JH = √6.5² + 6.5²
Length of hypotenuse JH = √42.25 + 425.25
Length of hypotenuse JH = √84.5
Length of hypotenuse JH = 9.1923
Length of hypotenuse JH = 9.2 unit (Approx.)
PLSSS HELP ME ASAPPPPPPP
Boris started on the treadmill after setting timer for 99 minutes. The display says he have finished 43% of his run. How many minutes have gone by. Round to the nearest tenth
Find all solutions of each equation on the interval 0≤ x <2pie
tan² x sec² x +2 sec²x - tan²x =2
The trigonometric equations has the following solutions: x = 0 + j · π or x = 0.352π + j · π or x = - 0.352π + j · π, where j is a non-negative whole number.
How to solve a trigonometric equation
In this problem we find the case of a trigonometric equation, whose solutions on the interval [0, 2π] must be found. This can be done by both algebra properties and trigonometric formulae. First, write the entire expression:
tan² x · sec² x + 2 · sec² x - tan² x = 2
Second, use trigonometric formulas to reduce the number of trigonometric functions:
tan² x · (tan² x + 1) + 2 · (tan² x + 1) - tan² x = 2
Third, expand the equation:
tan⁴ x + tan² x + 2 · tan² x + 2 - tan² x = 2
tan⁴ x + 2 · tan² x = 0
Fourth, factor the expression:
tan² x · (tan² x - 2) = 0
tan² x = 0 or tan² x = 2
tan x = 0 or tan x = ± √2
Fifth, determine the solutions to trigonometric equation:
x = 0 + j · π or x = 0.352π + j · π or x = - 0.352π + j · π, where j is a non-negative whole number.
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Ann can buy either a pair of jeans or shoes with the allowance she saved up. What is the opportunity cost if she buys the jeans?
A.
getting a new pair of shoes
B.
wearing a new pair of jeans
C.
using up all her allowance
Answer:
A. Getting A New Pair Of Shoes
Step-by-step explanation:
Ur Welcome!
What is the height of the building? (round to the nearest meter no decimal point)
Answer:
87 m
Step-by-step explanation:
tan60=x/50
50tan60=x
x= 86.60
help me give you free
points
what is 1+1 also answer the riddle
you can only answer if you are using this to teach a class
and you need to show me proof that you are using this to teach a class
Answer:
Through their rings! They've all got rings around them and that's like engagement haha.
Help please been stuck on this
Step-by-step explanation:
The rules for significant digits are:
Non-zero digits are always significant.Zeros between significant digits are also significant.Trailing zeros are significant only after a decimal point.To round each number to one digit, round to the first digit.
a) 300,000
b) £200
c) 20,000 km
The profit from the production and sale of specialty golf hats is given by the function P(x)=20x-1000 where x is the number of hats produced and sold.
(A) producing and selling how many hats will a give a profit of $7000?
(B) how many hats must be produced and sold to avoid a loss?
(A) producing and selling [ ] hats will give a profit of $7000
Answer:
a. Hats Sold = 400
b. Hats Sold = 50
Step-by-step explanation:
Given
\(P(x)=20x-1000\)
Solving (a): Hats to give a profit of $7000
In this case;
\(P(x) = 7000\)
So, we have:
\(7000 = 20x- 1000\)
Add 1000 to both sides
\(7000 + 1000 = 20x - 1000 + 1000\)
\(8000 = 20x\)
Divide both sides by 20
\(x = \frac{8000}{20}\)
\(x = 400\)
Solving (b): Avoid Loss
To avoid loss, P(x) must not be negative
i.e. P(x) = 0
So: we have
\(0 = 20x - 1000\)
Add 1000 to both sides
\(1000 = 20x - 1000 + 1000\)
\(1000 = 20x\)
Divide through by 20
\(x = 50\)
x(y ÷3)^2; use x = 4, and y=9
Answer:
36
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
Identify
x(y ÷ 3)²
x = 4
y = 9
Step 2: Evaluate
Substitute in variables: 4(9 ÷ 3)²(Parenthesis) Divide: 4(3)²Exponents: 4(9)Multiply: 36Define business.Write the type of business
Answer:
A company or an entrepreneurial entity engaged in commercial, industrial, or professional activity is referred to as a business. A limited liability company (LLC), a sole proprietorship, a corporation, and a partnership are examples of different types of businesses.
graphing rational functions
The domain of the rational function is given by x < -2 or -2 < x < 1 or x > 1
What is rational function equation?A rational equation can be defined as an equation that involves at least one rational expression
A rational function is a function of the form f( x )=P( x ) / Q( x ) ,
f( x ) = P( x ) / Q( x ) , where P( x ) and Q( x ) are both polynomials.
A rational function f ( x )=P( x ) / Q( x )
f( x ) = P( x ) / Q( x ) may have a vertical asymptote
The domain is the set of all real numbers for which Q( x ) ≠ 0
Given data ,
Let the rational function be represented as A
Now , the value of A is
A = ( 2x² - 6x + 4 ) / ( x² + x - 2 )
On simplifying , we get
A = 2 ( x² - 3x + 2 ) / ( x - 1 ) ( x + 2 )
On further simplification , we get
A = 2 ( x - 1 ) ( x - 2 ) / ( x - 1 ) ( x + 2 )
A = 2 ( x - 2 ) / ( x + 2 )
The undefined singularity points of the equation are x = 1 and x = -2
And , the domain of the function is x < -2 or -2 < x < 1 or x > 1
The x intercept of the function is when y = 0
So , when y = 0
The value of x is 2 ( x - 2 ) = 0
2x = 4
x = 2
So , the x intercept is ( 2 , 0 )
And , the y intercept of the function is when x = 0
So , when x = 0
The value of y is = ( 4 / -2 ) = -2
So , the y intercept is ( 0 , -2 )
Now , the vertical asymptote is x = -2
And , the horizontal asymptote is y = 2
Hence , the rational function is solved
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if m ad=20° and m BC =30°,then <1=
When two chords intersect inside a circle, the measure of the angle formed is one half the sum of the measures of the arcs intercepted by the angle and its vertical angle. Then:
\(m\angle1=\frac{1}{2}(mAD+mBC)\)Substitute mAD=20° and mBC=30°:
\(\begin{gathered} \Rightarrow m\angle1=\frac{1}{2}(20+30) \\ =\frac{1}{2}(50) \\ =25 \end{gathered}\)Therefore, the answer is:
\(25^{\circ}\)Please help? I need to please it will give you a lot of rewards
Answer:
<HAD
Step-by-step explanation:
50 Points! Multiple choice geometry question. Photo attached. Thank you!
Answer:
C
Step-by-step explanation:
Step-by-step explanation:
Hi tag brainliest ❣️
Thanks
Since the shaded area equal 4
our answer is A
that is the number of shaded area ÷ the total number of points
-
What is one effect of World Bank loans to developing countries?
Answer:
Improved climate for foreign investment
Step-by-step explanation:
I just took the test gs
The sides of a triangle measure a meters
and 2a meters. What are the possible
side lengths for the third side in terms
of a? Show your work.
Answer: any values between a and 3a
Step-by-step explanation:
To determine the possible side lengths for the third side of the triangle, we need to use the Triangle Inequality Theorem. This theorem states that for any triangle, the sum of the lengths of any two sides must be greater than the length of the third side.
Let's call the length of the third side x. Then, based on the Triangle Inequality Theorem, the following two inequalities must be true:
a + 2a > x (the sum of the first and second sides is greater than the third side)
a + x > 2a (the sum of the first and third sides is greater than the second side)
2a + x > a (the sum of the second and third sides is greater than the first side)
Solving the first inequality for x gives us:
x < 3a
Solving the second inequality for x gives us:
x > a
Solving the third inequality for x gives us:
x > -a
Combining these three results, we find that the possible values for the third side length x are:
a < x < 3a
So, the possible lengths for the third side in terms of a are any values between a and 3a, inclusive.
What is an expression for the area of the figure? Write your answer as a polynomial in standard form.
Answer:
\(A=4x^{2} +x\)
Step-by-step explanation:
\(A = (3x)(2x+1) -2x(x+1)\)
\(=6x^{2} +3x-2x^{2} -2x\)
\(=4x^{2} +x\)
Hope this helps
What is the scale factor of figure B to figure A?
Scale factor =_________
(40 points)
The scale factor of figure B to figure A is 1/2.
How to find the scale factor?To find the scale factor of figure B to figure A, we need to determine how much the corresponding sides of the two figures have been multiplied or divided by.
Looking at the figures, we can see that the corresponding sides of figure B are half the length of the corresponding sides of figure A. For example, the length of side AB in figure A is twice the length of side AB' in figure B, and the length of side BC in figure A is twice the length of side B'C' in figure B.
Since the corresponding sides of figure B are half the length of the corresponding sides of figure A, the scale factor of figure B to figure A is 1:2 or 1/2.
Therefore, the scale factor of figure B to figure A is 1/2.
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Factor the GCF from the expression 30x-6y.
Answer:
6(5x-y)
Step-by-step explanation:
i hope this helps :)
plss.. help me po goisss:( BRAINLIEST KO PO YUNG TAMANG SAGOT PLSS:(
I.)
1.) 7N = 50
2.) 35 - 16 = N
3.) 2P + 8 = 24
4.) R/5 = 9
5.) 30 - 10 = 20
II.)
1.) Twinity increased by eight times N
2.) D decreased by eleven
3.) The quotient of X and nine is K
4.) Five times X
5.) Three times a decreased by 5 is thirteen
6.) Nothing
7N = 50
35 - 16 = N
2P + 8 = 24
R/5 = 9
30 - 10 = 20
Twenty increased by eight times N
D decreased by eleven
The quotient of X and nine is K
Five times X
Three times a decreased by 5 is thirteen