The equation of the parabola is:
y = 3/5 (x² -2x -8)
How to write the equation of a parabola that passes through a point?We can use the factored form of the equation of a parabola below:
y = a(x - x₁)(x - x₂)
where x₁ and x₂ are the x-intercepts
x₁ = -2 and x₂ = 4
Point (2, 7): x = -1, y = -3
Substituting:
y = a(x - (-2))(x - 4)
y = a(x + 2)(x - 4)
Substituting x and y:
-3 = a(-1 + 2))(-1 - 4)
-3 = a(1 )(-5)
-3 = -5a
a = 3/5
Substituting a = 0.6 into y = a(x + 2)(x - 4):
y = 3/5(x + 2)(x - 4)
In expanded form:
y = 3/5 (x² -2x -8)
Learn more about equation of a parabola on:
https://brainly.com/question/31356819
#SPJ1
im here again. THANK YOU SM (Crxxom) for helping me. you'll make me pass 7th grade!
Answer:
D
Step-by-step explanation:
10/2 + 5.2/2 = 7.6
Answer:
7.6cm
Step-by-step explanation:
Let's see - the midpoint of AB lies 10cm/2 from B and the midpoint of BC lies 5.2cm/2 from B in the other direction.
We can conclude that the midpoints are distant by
10cm/2 + 5.2cm/2 = 5cm + 2.6cm = 7.6cm
Show that, when SI units for µ0 and ε0 are entered, the units given by the right-hand side of the equation in the problem above are m/s.
The unit m/s represents the speed of light. Therefore, the units of the right-hand side of the equation prove that the speed of light is represented in the equation.
The equation mentioned in the question is as follows; The SI units of magnetic permeability and permittivity of free space are Henry/meter and farad/meter respectively. In order to prove that the units given by the right-hand side of the equation are m/s, we need to perform the following steps: Substitute the values of magnetic permeability and permittivity of free space in the equation. Let's substitute µ0 and ε0 values in the above equation, we get; In order to perform this step, we need to know the units of each component in the equation. A unit of force is Newton, and a unit of charge is Coulomb. A magnetic field has the unit Tesla. Let's find out the units of the right-hand side component of the above equation. We can now rearrange the equation to make it simpler.!)
The unit m/s represents the speed of light. Therefore, the units of the right-hand side of the equation prove that the speed of light is represented in the equation.
To know more about equation visit:-
https://brainly.com/question/29657983
#SPJ11
phil is randomly drawing cards from a deck of 52. he first draws a queen, places it back in the deck, shuffles the deck, and then draws another card. what is the probability of drawing a queen, placing it back in the deck, and drawing any face card? answer choices are in the form of a percentage, rounded to the nearest whole number.
The probability of drawing a queen, placing it back in the deck, and drawing any face card is approximately 1.78%, rounded to the nearest whole number.
Since Phil replaces the first queen back into the deck and shuffles, each draw is independent of the other. The probability of drawing a queen on the first draw is 4/52 = 1/13, and the probability of drawing a face card (other than a queen) on the second draw is 12/52 = 3/13.
The probability of both events occurring is the product of their individual probabilities:
P(drawing a queen and then a face card) = P(drawing a queen) × P(drawing a face card) = (1/13) × (3/13) = 3/169.
To express this probability as a percentage, we can multiply by 100 and round to the nearest whole number:
P(drawing a queen and then a face card) ≈ 1.78%.
Therefore, the probability of drawing a queen, placing it back in the deck, and drawing any face card is approximately 1.78%, rounded to the nearest whole number.
Visit to know more about Probability:-
brainly.com/question/13604758
#SPJ11
Which statement is true about the lines 3−2=27 3 y - 2 x = 27 and 4−2=36 4 y - 2 x = 36 ?
The two lines 3 y - 2 x = 27 and 4 y - 2 x = 36 are parallel to each other because their slopes (i.e., -2/3 and -2/4) are equal.
What are parallel lines?Parallel lines are lines in a plane that do not intersect and are always the same distance apart. They have the same slope and will never meet, regardless of how far they are extended.
Therefore, the correct answer is as given above. It can be concluded that lines 3 y - 2 x = 27 and 4 y - 2 x = 36 are parallel lines to each other for their slopes (i.e., -2/3 and -2/4) are the same.
learn more about parallel lines: https://brainly.com/question/24607467
#SPJ1
The complete question goes thus:
Which statement is true about the lines 3−2=27 3 y - 2 x = 27 and 4−2=36 4 y - 2 x = 36 ?
A. lines 3 y - 2 x = 27 and 4 y - 2 x = 36 are parallel to each other
B. lines 3 y - 2 x = 27 and 4−2=36 are inequalities
C. lines 3−2=27 and 3 y - 2 x = 27 are the same
D. all lines are equal
Determine whether each expression is a monomial. Write yes or no. Explain your reasoning. 1. 21/27 2. 32/
Answer:
1. Yes and for 2. I don't know
Step-by-step explanation:
1. is a monomial because 21/27 is one group
A school has a square courtyard and wants to create diagonal walkways. The length of each side
of the courtyard is 36 yards. Approximately how long is each walkway?
Answer:
51 Yards
Step-by-step explanation:
Each side is 36 yards. split the square in half(corner to corner) making two right triangle use the pythagorean theorem (\(A^{2}\) + \(B^{2}\) =\(C^{2}\) ) to solve.
\(36^{2}\)+\(36^{2}\)= \(C^{2}\)
1296+1296= 2592
√2592= 50.911
50.911 rounds up to 51
The length of each walkway would be,
⇒ 51 yards
What is Pythagoras theorem?The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.
We have to given that;
A school has a square courtyard and wants to create diagonal walkways.
Here, The length of each side of the courtyard is 36 yards.
Now, The length of each walkway would be,
⇒ √ 36² + 36²
⇒ √ 1296 + 1296
⇒ √ 2592
⇒ 50.91
⇒ 51 yards
Thus, The length of each walkway would be,
⇒ 51 yards
Learn more about the Pythagoras theorem visit:
https://brainly.com/question/343682
#SPJ2
Which relationship has a zero slope? A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 2, 2, 2, 2. A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 3, 1, negative 1, negative 3. A coordinate plane with a straight line starting at (negative 5, negative 5) and passing through the origin, and ending at (5, 5) A coordinate plane with a straight line starting iat (negative 2, 5) and passing the x-axis at (negative 2, 0), and ending at (negative 2, 5).
Answer:
The answer would be y=3 x=1
Answer:
Step-by-step explanation:
The awnser to this The 1x4)16 plus 18 and divided by the 3x2 u should be able to get your factor by negative 2, and negative 1 by 2 qnd 3.
a real number $a$ is chosen randomly and uniformly from the interval $[-20, 18]$. the probability that the roots of the polynomial $x^4 2ax^3 (2a - 2)x^2 (-4a 3)x - 2$ are all real can be written in the form $\dfrac{m}{n}$, where $m$ and $n$ are relatively prime positive integers. find $m n$.
Since, m and n are prime positive number. Therefore,
m + n = 18 + 19 =037
The polynomial we are given is rather complicated, so we could use Rational Root Theorem to turn the given polynomial into a degree-2 polynomial. With Rational Root Theorem, x = 1, -1, 2, -2 are all possible rational roots. Upon plugging these roots into the polynomial, x = -2 and x = 1 make the polynomial equal 0 and thus, they are roots that we can factor out.
The polynomial becomes:
(x - 1)(x + 2)(x^2 + (2a - 1)x + 1)
Since we know 1 and -2 are real numbers, we only need to focus on the quadratic.
We should set the discriminant of the quadratic greater than or equal to 0.
(2a - 1)^2 - 4 ≥ 0.
This simplifies to:
a ≥ 3/2
or,
a ≤ - 1/2
This means that the interval (- 1/2 ,3/2) is the "bad" interval. The length of the interval where a can be chosen from is 38 units long, while the bad interval is 2 units long. Therefore, the "good" interval is 36 units long.
36/38 = 18/19
18+ 19 = 037
Learn more about Prime Positive Number :
https://brainly.com/question/24635729
#SPJ4
HELP PLS I HABE BEEN STARING AT THUS QUESTION FOR SO LONG
Answer:
56%
Step-by-step explanation:
Reducing the picture by 80% and then by 70% gives a reduction of 56%
70% of 80 = 0.7 × 80 = 56%
A point, W, is graphed at (0, 5). Choose the coordinates of a shape that can be rotated about the y-axis to create a cone.
The coordinates of a shape that will form a cone when rotated about the y-axis will form a triangle that is bounded by the y-axis, the x-axis, and a sloped straight line.
Given the above explantion, we find that the two other coordinates in conjunction with the coordinate W(0, 5) which will give us such a shape are:
- X(0, 0) and Y(3, 0)
See the shape in the figure below:
Therefore, the correct answer is option B
I’m not smart so can someone help me
at first plot the point In graph after that measure thatt side and you ll get the answer . thank you
Step-by-step explanation:
please mark as a brainlist
Simplify the expression (3x^2 y)(10x^3 y^2)
Answer:
30x^5 Y^3
Step-by-step explanation:
Multiply 3x^2 y into 10x^3 y^2
3 times 10 is 30
x^2 times x^3 is x^5
y times y^2 is y^3
Just add them together and you got your answer
Answer:
\(=30x^5y^3\)
Step-by-step explanation:
\(\left(3x^2y\right)\left(10x^3y^2\right)\)
\(\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}\)
\(x^2x^3=\:x^{2+3}\)
\(=3y\cdot \:10x^{2+3}y^2\)
\(\mathrm{Add\:the\:numbers:}\:2+3=5\)
\(=3y\cdot \:10x^5y^2\)
\(\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}\)
\(yy^2=\:y^{1+2}\)
\(=3\cdot \:10x^5y^{1+2}\)
\(\mathrm{Add\:the\:numbers:}\:1+2=3\)
\(=3\cdot \:10x^5y^3\)
\(\mathrm{Multiply\:the\:numbers:}\:3\cdot \:10=30\)
\(=30x^5y^3\\\)
Carolina, with the intention of investing money in real estate, acquired a plot of land for R$ 350,000.00. Over four years, the asset underwent changes in its commercial value, as follows variations:
First year: 12% appreciation
Second year: 10% appreciation
Third year: 8% devaluation
Fourth year: 6% appreciation
Having this information as a reference, it is correct to say that at the end of the analyzed period this plot of land
will have the value of:
(A) BRL 329,000.00.
(B) BRL 372,901.76.
(C) BRL 420,000.00.
(D) BRL 420,506.24.
(E) BRL 437,754.24.
At the end of the analyzed period this plot of land will have the value as given by: Option D: 420,506.24
What is appreciation and deprecation?Deprecation, also called devaluation, is the decrement in price of an asset. Appreciation is opposite of deprecation. This indicates increment in the price of the considered thing.
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
\(\dfrac{a}{100} \times b\)
It is given that:
Initial price of the plot of land = $350,000First year: 12% appreciationSecond year: 10% appreciationThird year: 8% devaluationFourth year: 6% appreciationNow, consider appreciation of an amount A by P%.
Then, we have:
Increased price = Initial price + P% of initial price
Increased price = \(A + \dfrac{A}{100} \times P = A \times \left(1 + \dfrac{P}{100} \right)\)
Similarly, depreciated price by P% of an amount A is:
Decreased price = \(A - \dfrac{A}{100} \times P = A \times \left(1 - \dfrac{P}{100} \right)\)
We've got: A = 350,000
After 1st year, which had 12% appreciation, we get:
\(A_1 =A(1 + 12/100) = A(1.12)\\\)
After 2nd year, 10% appreciation we get:
\(A_2 =A_1(1 + 10/100) = A_1(1.1) = A(1.12)(1.1)\\\)
After 3rd year, which had 8% devaluation effect on the price, we get:
\(A_3 = A_2(1 - 8/100) = A_2(1-0.08) = A_2(0.92) = A(1.12)(1.1)(0.92)\)
After 4th year, which had 6% appreciation effect on the price, we get:\(A_4 = A_3(1 + 6/100) = A_4(1+0.06) = A_3(1.06) = A(1.12)(1.1)(0.92)(1.06)\)
Thus, the final effect on A is:
\(A \rightarrow A(1.12)(1.1)(0.92)(1.06) = A(1.2014464)\\\$350,000 \rightarrow 350000(1.2014464) = 420506.24\: \rm dollars\)
Thus, at the end of the analyzed period this plot of land will have the value as given by: Option D: 420,506.24
Learn more about percent here:
https://brainly.com/question/11549320
#SPJ1
HELP!!!!!!!!!!!!!!!!!!!
Answer:
1. 22+b
2. 7x
3. 6+t
4. Z(4+6)
5. -10+4a
6. N(8+-2)
7. X^2/2
4/5(m^2)
HOPE THIS HELPS
- Todo ❤️
Step-by-step explanation:
1.) b + 21
2.) x × 7 or 7x
3.) t + 6
4.) 4 + 6z
5.) -10+4a
6.) 8 +(-2n)
7.) (1/2)×n³
8.) (4/5)×m²
Must click thanks and mark brainliest
7 plus twice a number.
Answer: 7 +2x
Step-by-step explanation:
7 plus twice a number
Twice a number - 2x
7 plus 2x
gaussian classes with distinct means, equal class prior probabilities, and common covariance matrix that is not necessarily a diagonal matrix.
The equal class prior probabilities, gaussian classes with unique means, and a common covariance matrix that isn't always diagonal. The particular choice for ∑ where d is 2 is µ\(_{2}\)-µ\(_{1}\).
What is a gaussian function?A Gaussian function in mathematics is a function with the base form and parametric extension for all real constants a, b, and c that are not zero. This function is frequently referred to as a Gaussian. It bears the name of the mathematician Carl Friedrich Gauss. A Gaussian's graph has the recognizable symmetric "bell curve" shape. The parameters a and b determine the height and location of the curve's peak, respectively, while the parameter c, also known as the standard deviation or Gaussian RMS width, determines the width of the "bell." Gaussian functions are frequently used in statistics to characterize the normal distributions, in signal processing to build Gaussian filters, and in image processing where two-dimensional Gaussians are utilized for Gaussian blurring.
To learn more about gaussian function ,visit:
https://brainly.com/question/13873614
#SPJ4
Consider the following generic C comparison function and its assembly language representation C code: byte compbyte a,byte b)/a in rdi,b in rsi Assembly code cmpb %rsi,%rdi set_inst %a1 ret Your jobs(fill-in blank):now sh given values of a and b g SET instruction and the A.5 points set CI SF OF %al setg 47 23 B.5 points set h SF OF %a setl 23 47 C.5 points ZA SF OF %al set sete 23 23 D.5 points CF ZF SF OF 00%1 set b setne 23 47
The correct answer is D. setne 23 47. Based on the provided information, I understand that you have a comparison function in C code and its corresponding assembly code. You are asked to fill in the blanks by selecting the appropriate instructions based on the given values of a and b and the status flags SF, OF, ZF, and CF. Let's go through the options:
A. setg 47 23: This option is incorrect because setg is used to set a byte to 1 if the Greater flag (ZF=0 and SF=OF) is set, but the given values of a and b are 47 and 23, respectively, so it does not satisfy the condition for setg to be set.
B. setl 23 47: This option is incorrect because setl is used to set a byte to 1 if the Less flag (SF≠OF) is set, but the given values of a and b are 23 and 47, respectively, so it does not satisfy the condition for setl to be set.
C. sete 23 23: This option is incorrect because sete is used to set a byte to 1 if the Zero flag (ZF=1) is set, but the given values of a and b are 23 and 23, respectively, so it does not satisfy the condition for sete to be set.
D. setne 23 47: This option is correct. setne is used to set a byte to 1 if the Zero flag (ZF=0) is not set, which means the values of a and b are not equal. In this case, the given values of a and b are 23 and 47, respectively, so they are not equal, and setne should be used.
Therefore, the correct answer is D. setne 23 47
To know more about byte visit-
brainly.com/question/32309440
#SPJ11
FILL IN THE BLANK the goal of the ____________ phase of an sdlc is to produce a list of requirements for a new or revised information system.
The goal of the "Requirements Gathering" phase of an SDLC is to produce a list of requirements for a new or revised information system.
What is SDLC?
SDLC stands for Software Development Life Cycle. It is a systematic approach or framework used in software development projects to guide the development process from initiation to deployment and maintenance.
During the Requirements Gathering phase of the SDLC, the primary objective is to gather and document all the necessary information regarding the desired functionalities, features, and specifications of the new or revised information system. This phase involves close collaboration between stakeholders, including business analysts, system analysts, project managers, and end-users.
The process typically begins with conducting interviews and meetings with stakeholders to understand their needs, expectations, and goals for the system. This can involve discussions with managers, users, subject matter experts, and other individuals who will be affected by the system. Various techniques such as questionnaires, surveys, and brainstorming sessions may be employed to gather comprehensive requirements.
learn more about SDLC Here:
https://brainly.com/question/30089251
#SPJ4
This table shows the ratio of the number of adults to the number of students on a class field trip. A 2-column table has 4 rows. Column 1 is labeled Number of adults with entries 1, 2, 4, 6. Column 2 is labeled Number of students with entries 7, x, 28, y. Which values are missing from this table? x = y =
Answer:
x = 14 and y = 42
Step-by-step explanation:
From the two entries that have both the numbers od adults*A) and students(S) we find a ratio of S/A to be 7 for both cases. We'll make the assumption that is the same ratio in the two cases involving x and y.
To find x and y, multiply the number of adults by 7 to find the number of students,
x = 14 and y = 42
A S Ratio S/A = 7
1 7 7
2 x 14
4 28 28
6 y 42
It’s -4°C outside, and then the temperature drops 5°C. Which addition equation describes what's happening to the weather?
Answer:
-4+(-5)
Step-by-step explanation:
If the temperature is dropping five you add -5 to negative 4.
Please explain how. Thanks in advance
Answer:
A kite has only 1 pair of opposite congruent sides, whereas a parallelogram has 2 pairs of opposite congruent sides
Hope this helps!
A simple random sample of 5 months of sales data provided the following information: Month: 1 2 3 4 5 Units Sold: 94 100 85 94 92 a. Develop a point estimate of the population mean number of units sold per month. b. Develop a point estimate of the population standard deviation.
a. To develop a point estimate of the population mean number of units sold per month, we can calculate the sample mean.
The sample mean (x) is obtained by summing up the values and dividing by the number of observations. x = (94 + 100 + 85 + 94 + 92) / 5 . x= 465 / 5. x = 93. Therefore, the point estimate of the population mean number of units sold per month is 93. b. To develop a point estimate of the population standard deviation, we can calculate the sample standard deviation.The sample standard deviation (s) is calculated using the formula: s = √ [ Σ (xi - x)² / (n - 1) ] .
where Σ denotes summation, xi represents each value, x is the sample mean, and n is the sample size. Using the given data: x = 93 (from part a). n = 5. xi values: 94, 100, 85, 94, 92. Calculating the sample standard deviation: s = √ [ (( 94 - 93 )² + (100 - 93)² + (85 - 93)² + (94 - 93)² + (92 - 93)²) / (5 - 1)]. s = √ [ (1 + 49 + 64 + 1 + 1) / 4 ]. s = √(116 / 4). s = √29. Therefore, the point estimate of the population standard deviation is √29.
To learn more about sample mean click here: brainly.com/question/31101410
#SPJ11
HELP DUE IN 5 mins The company ordered boxes of concrete nails weighing 3.35 kgs each and a box of 2.5 kgs of screws. The eight construction workers each received a box of nails and each worker used 1.23 kgs of concrete nails yesterday. What is the weight of the concrete nails left in each box? If the concrete nails were put together in a big toolbox, how much would the concrete nails weigh?
Answer: See below
Step-by-step explanation:
Weight of concrete nails - weight of concrete nails used = weight of concrete nails left
3.35 – 1.23 = 2.12
Weight of concrete nails left * number of workers = total weight of concrete nails
2.12 x 8 = 16.96
There are 2.12 kgs of concrete nails left in each of the boxes and there are 16.96 kgs of concrete nails altogether
Integrate: (i) ∫(4x^3 – 3x^2 + 2x – 1)dx (ii) ∫^4_z=-1 ∫^3_y=0 ∫^2_x=1 (2xy + z) dx dy dz dy/dx = v du/dx + u dv/dx
The integration of the given functions has been computed successfully. It is important to follow the proper order of integration when dealing with multiple integrals
(i) The integral of the given function, ∫(4x^3 – 3x^2 + 2x – 1)dx, is equal to x^4 - x^3 + x^2 - x + C, where C is the constant of integration.
(ii) The given expression involves a triple integral. To evaluate it, we start from the innermost integral:
∫^2_x=1 (2xy + z) dx
Integrating with respect to x gives:
[2xy^2 + zx] from x = 1 to x = 2
Now, we proceed to the next integral:
∫^3_y=0 [2xy^2 + zx] dy
Integrating with respect to y gives:
[y^3x + yz] from y = 0 to y = 3
Finally, we evaluate the outermost integral:
∫^4_z=-1 [y^3x + yz] dz
Integrating with respect to z gives:
[y^3x*z + (1/2)yz^2] from z = -1 to z = 4
Simplifying further, we get:
4y^3x + 2yz - y^3x + yz + (1/2)y(4^2 - (-1)^2)
= 3y^3x + 3yz + 105y
Thus, the final result of the triple integral is 3y^3x + 3yz + 105y.
The integration of the given functions has been computed successfully. It is important to follow the proper order of integration when dealing with multiple integrals and to evaluate each integral step by step.
To know more about integration follow the link:
https://brainly.com/question/30094386
#SPJ11
Which expressions are equivalent to 6 + 12x
A 3(2+4x)
B. 3(2+6x)+2x
C. 5(1+2x)+1+2x
D7(1+2x)-2x-1
E 7 (1+2x)+2x-1
Answer:
A,C and D
Step-by-step explanation:
A: 3x2=6
3x4X=12X
6+12X
C: 5x1=5
5x2X=10X
5+10X+1+2X
6+12X
D: 7x1=7
7x2X=14X
7+14X-2X-1
6+14X-2X
6+12X
A time for the 100 meter sprint of 15.0 seconds at a school where the mean time for the 100 meter sprint is 17.5 seconds and the standard deviation is 2.1 seconds. Find the z-score corresponding to the given value and use the z-score to determine whether the value is unusual. Consider a score to be unusual if its z-score is less than -2.00 or greater than 2.00.
The z-score simply tells us how many standard deviations away from the mean a particular value falls, and we use that information to assess whether the value is typical or unusual in the given context.
To find the z-score corresponding to the given value of a 100-meter sprint time of 15.0 seconds, we need to use the formula z = (x - μ) / σ, where x is the value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get:
z = (15.0 - 17.5) / 2.1
z = -1.19
This means that the given value is 1.19 standard deviations below the mean. To determine whether it is unusual, we need to compare the absolute value of the z-score to 2.00. Since 1.19 is less than 2.00 and greater than -2.00, we can conclude that the time of 15.0 seconds is not unusual in this context.
In other words, while the time is below the mean, it is not so far below that it is considered unusual or unexpected. The z-score simply tells us how many standard deviations away from the mean a particular value falls, and we use that information to assess whether the value is typical or unusual in the given context.
To learn more about z-score :
https://brainly.com/question/28096232
#SPJ11
A time of 15.0 seconds is within 2 standard deviations from the mean and is not considered unusual.
To find the z-score, we use the formula:
z = (x - μ) / σ
where x is the value we want to convert to a z-score, μ is the mean, and σ is the standard deviation.
Plugging in the values given in the problem, we have:
z = (15.0 - 17.5) / 2.1
z = -1.19
So the z-score corresponding to the 15.0 second time is -1.19.
To determine whether this value is unusual, we compare the absolute value of the z-score to 2.00. Since |-1.19| = 1.19 is less than 2.00, we can conclude that the value of 15.0 seconds is not unusual according to our definition.
Know more about standard deviations here:
https://brainly.com/question/23907081
#SPJ11
the ratio of the ages of a mother and her son is 9:4. If the mother is 54 years old, find the ages of the Son
Answer:
the answer will be 13 okay bro
Answer:
24years
Step-by-step explanation:
solve the inequality 8 < 12 + c < 12
Separate the inequalities by part.
\(8<12+c\\12+c<12\)
We'll do 8 < 12+c first then 12+c<12 next.
\(8-12<c\\-4<c\\c>-4\)
Then 12+c<12
\(12+c<12\\c<12-12\\c<0\)
Then mix c<0 and c>-4 as we'll get \(-4<c<0\) #
what is the range of the function y = 2sin x?
The range of the function y = 2sin(x) is the set of all possible values that the function can take. The range of the function y = 2sin(x) is [-2, 2].
In trigonometry, the sine function can be defined as the ratio of the length of the opposite side to that of the hypotenuse in a right-angled triangle. The sine function, sin(x), has a range between -1 and 1, inclusive. When we multiply the sine function by 2, as in the case of y = 2sin(x), the range is expanded.
Multiplying the range of sin(x) [-1, 1] by 2 gives us the range of 2sin(x), which is [-2, 2].
Therefore, the range of the function y = 2sin(x) is [-2, 2].
Learn more about function here:
https://brainly.com/question/28468393
#SPJ11
100 POINT PLS ACTUALLY NSWER PROPERLY ND NOT JUST FOR POINTS TY
Standard: HSG.C.A.3 Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral inscribed in a circle.
You may see a question like this on the SBAC.
Options:
68°
112°
158°
136°
Answer:
i THINK its 112 degrees
the test is optional so if it's wrong it wont affect you
The measure of angle QPS in the cyclic quadrilateral is; 112°
What is the angle in the quadrilateral?In theorems for cyclic quadrilaterals, we know that the sum of the opposite angles of a quadrilateral in a circle is 180°, provided that the quadrilateral does not cross itself.
Now, angle QPS is opposite to 68° in the cyclic quadrilateral. This means thst;
∠QPS + 68° = 180°
∠QPS = 180 - 68
∠QPS = 112°
Read more about angles at; https://brainly.com/question/25927269