Answer:
\( y = \dfrac{w}{h - 5t^2} \)
Step-by-step explanation:
w = yh − 5yt^2
There is a y in each term on the right side. We factor it out.
w = y(h - 5t^2)
Now we divide both sides by h - 5t^2 to isolate y.
\( \dfrac{w}{h - 5t^2} = y \)
\( y = \dfrac{w}{h - 5t^2} \)
I would appreciate any help for this question
The equation of the parabola is y = -2x² + 9x + 5.
What is the question of the parabola?To find the quadratic function that includes the set of values given, we need to solve for the coefficients of the quadratic equation in the standard form of y = ax² + bx + c, where a, b, and c are constants.
Substituting the values of the points (0, 5), (2, 15), and (4, 9) into the quadratic equation, we get a system of three equations:
For (0, 5):
5 = a(0)² + b(0) + c
5 = c
For (2, 15):
15 = a(2)² + b(2) + c
15 = 4a + 2b + 5
For (4, 9):
9 = a(4)² + b(4) + c
9 = 16a + 4b + 5
Now, we can solve the system of equations for a and b:
4a + 2b = 10
16a + 4b = 4
Multiplying the first equation by 2 and subtracting it from the second equation, we get:
16a + 4b - 8a - 4b = 4 - 20
8a = -16
a = -2
Substituting a = -2 into the first equation, we get:
4(-2) + 2b = 10
2b = 18
b = 9
Therefore, the quadratic function that includes the set of values (0, 5), (2, 15), and (4, 9) is:
y = -2x² + 9x + 5
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The complete question is below:
Find the quadratic function that includes the set of values below:
(0, 5), (2, 15), (4, 9).
The equation of the parabola is y = ?
I need help , pleaseee
Answer:
H.
Step-by-step explanation:
I honestly don't know how to explain this one.
Feel free to give brainliest. (I guess.)
Have an excellent day!
Convert the following Standard Form Equations into Slope Intercept Form.
2x-y=15
Answer: y=2x-15
Step-by-step explanation:
Mary, Katherine, and Alex share the bill at a restaurant after a meal. Mary pays for of the bill, Katherine pays for of the bill, and Alex
pays for the rest. What is the ratio of Mary's share to Katherine's share to Alex's share?
The ratio of Mary's share to Katherine's share to Alex's share is 5:4:1, which means Mary pays 5/10 of the bill, Katherine pays 4/10 of the bill, and Alex pays 1/10 of the bill.
To find the ratio, we can write their contribution as a fraction of the total parts and then solve the fractions then they'll have the same denominator.
So, Mary's share is 5/10, Katherine's share is 4/10, and Alex's share is 1/10.
To convert this as a ratio, we write 5:4:1, where each number represents the number of parts each person pays, and the colon separates each person's contribution.
Therefore, the ratio of Mary's share to Katherine's share to Alex's share is 5:4:1
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PLEASEEEE help!!!! asap!!! thank u so much *will give brainliest*
Answer:
i think it is c or d
Step-by-step explanation:
Suppose a normal distribution has a mean of 48 and a standard deviation of 5. What is the probability that a data value is between 48 and 52? Round your answer to the nearest tenth of a percent. O A. 26.2% . B. 30.5% O c. 31.1% O D. 28.8%
Answer:
31.1 best answer
sorry if it's wrong
28.8% is the probability that a data value is between 48 and 52.
What is probability?Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
First, we need to standardize the values and use a standard normal distribution table or calculator.
The standardized value of 48 is:
z = (48 - 48) / 5 = 0
The standardized value of 52 is:
z = (52 - 48) / 5 = 0.8
Now we need to find the probability that a data value is between z = 0 and z = 0.8 in a standard normal distribution. We can use a standard normal distribution table or calculator to find this probability.
Using the table or calculator, we can find that the probability of a data value being between z = 0 and z = 0.8 in a standard normal distribution is approximately 0.2881.
Rounding this answer to the nearest tenth of a percent, we get:
P(48 < x < 52) ≈ 28.8%
Therefore, the answer is D, 28.8%.
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unconscious processing is not group of answer choices guided by habit dependent on well-established routines guided by our executive functions composed of relatively specialized parts
Unconscious processing is a complex cognitive phenomenon that involves a wide range of mental activities that occur outside of our conscious awareness. It is not simply a group of answer choices or a set of predetermined responses that are guided by habit or well-established routines.
Rather, unconscious processing is a highly nuanced and multifaceted process that is guided by a variety of different factors, including our emotions, our past experiences, our cultural background, and our personal beliefs and values.
At the same time, it is important to note that unconscious processing is not entirely independent of our executive functions or our conscious awareness. While it may be composed of relatively specialized parts, such as our automatic reflexes and basic sensory processing systems, these parts are still intricately connected to the higher-level cognitive processes that govern our decision-making, problem-solving, and goal-oriented behavior.
In short, unconscious processing is a complex and dynamic process that involves a broad range of cognitive and emotional factors, and is intimately intertwined with our conscious awareness and executive functions.
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Look at the equations below. Find a pair of equations whose lines are perpendicular.
The pair of equations whose lines are perpendicular is (d) y = 1/6x + 3; y = -6x - 3
Find a pair of equations whose lines are perpendicular.from the question, we have the following parameters that can be used in our computation:
The pair of equations
By definition;
The slopes of perpendicular lines are opposite reciporcals
So, we have
(a) -1/3 and -3 false
(b) -3 and -6 false
(c) 3 and 3 false
(d) 1/6 and -6 true
Hence, the equations are (d) y = 1/6x + 3; y = -6x - 3
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One week a computer store sold a total of 36 computers and external hard drives. The revenue from these sales was 29,820. If computers sold for 1180 and hard drives for 125 per unit, how many of each were sold?
Given:
One week a computer store sold a total of 36 computers and external hard drives.
Let the number of computers = x
And the number of the external hard drives = y
so, we can write the following equation:
\(x+y=36\rightarrow(1)\)The revenue from these sales was 29,820. If computers sold for 1180 and hard drives for 125 per unit
So, we can write the following equation:
\(1180x+125y=29820\rightarrow(2)\)We will solve the equations (1) and (2) to find (x) and (y):
from equation (1):
\(y=36-x\operatorname{\rightarrow}(3)\)Substitute (y) from equation (3) into equation (2) and then solve for (x):
\(\begin{gathered} 1180x+125(36-x)=29820 \\ 1180x+125*36-125x=29820 \\ 1180x-125x=29820-125*36 \\ 1055x=25320 \\ \\ x=\frac{25320}{1055}=24 \end{gathered}\)Substitute (x) into equation (3) to find (y):
\(y=36-24=12\)So, the answer will be:
The number of computers sold = 24
The number of hard drives sold = 12
503.74 - 276.21 pls help need answer nowwwwww
Answer:
227.53
Step-by-step explanation:
503.74 - 276.21 = 227.53
how do I identify a decreasing and increasing function for graphs
Answer:
Plot out the points of the function and see if it has a positive or negative slope
Step-by-step explanation:
If instead of randomly selecting two people there were five, what is the probability that all five are right-handed
Answer:
1/32
Step-by-step explanation:
We can break this question down. If we had 1 person and they are right-handed, the probability is 1/2 because they are either left-handed or right-handed. Knowing that, we can multiply the probability of having 1 person being right-handed 5 times because there are 5 people in the question.
1/2 × 1/2 × 1/2 × 1/2 × 1/2 = 1/(2⁵) = 1/32
Therefore, the probability of randomly selecting 5 people who are right-handed is 1/32.
I hope this helps and please mark me as brainliest!
the circle with equation x² + y² + sx + ty + 33 = 0 has center (4,5) what is s/t?
someone help please!
The Value for s/t is 4/5.
What is Equation of Circle?We know that the general equation for a circle is ( x - h )² + ( y - k )² = r², where ( h, k ) is the center and r is the radius.
Given:
x² + y² + sx + ty + 33 = 0
x² + y² + sx + s²x²/4 + ty + t²y² / 4 + 33 = 0
(x² + + sx + s²x²/4) + (y² + ty + t²y²/4 ) + 33 = 0
(x+ sx/2)² + ( y+ ty/2)² + 33 = 0..............(1)
We know that the standard form
(x-a)² + (y- b)² = r²
where (a, b) is the center.
So, We have center (4,5)
(x-4)² + (y- 5)² = r²
Now Comparing above with Equation (1) we get
s/2 = -4 and t/2 = -5
s= -8 and t= -10
Then, s/t= -8/(-10)= 4/5
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the value if /14-15/ is
Answer:
1
Step-by-step explanation:
/14-15/
/-1/
1(because absolute value of any real number is always positive and for zero itself zero)
someone help me pls I'm struggling with this
Answer:
To make the parabola go through the point (-4, 0), it must have a y-intercept of 80. Hope this helps!
express 0.016 as fraction in the lowest term podcast will mark as brainlist and will like and will rate u
Put the following into standard form.
y=1/2x - 9
Answer:
x - 2y = 18
Step-by-step explanation:
5.How many solutions does the system have?
x - y=4
2x - 2y = -8
a. one solution
b. two solutions
c. infinitely many solutions
d. no solution
Answer:
one solution = a, that is your answer
Answer:
D) No solution
Step-by-step explanation:
That is because...
x-y=4 2x-2y= -8
-y= -x+4 -2y= -2x-8
y= x-4 -y= -x -4
y=x+4
y=x-4 does not equal to y=x+4
what is the sum of all integer values of $x$ such that $\frac{31}{90} < \frac{x}{100} < \frac{41}{110}$ is true?
You work at a hardware store earning $8. 50 per hour. You work no more than 40 hours each week. Your friend says that the function y = 8. 5x represents the amount of money you earn each week where the domain of x > 40 represents the number of possible hours you work. Is your friend correct? Explain
Answer:3.5
Step-by-step explanation:
Solve plzzz
simplify
Answer:
this is the answer do follow me for more answer
Answer:
\(\huge\boxed{\sf \frac{-16}{147} }\)
Step-by-step explanation:
Multiplicative Inverse of \(\sf 3\frac{1}{2} (\frac{7}{2} )\) = \(\sf \frac{2}{7}\)
Multiplicative inverse of any number is the reciprocal of that number.
Additive inverse of \(\sf 2\frac{5}{8}(\frac{21}{8} )\) = \(\sf -\frac{21}{8}\)
Additive Inverse of any number is the number that has the opposite sign.
Solution:
\(\sf \frac{2}{7} / - \frac{21}{8} \\\\\frac{2}{7} * - \frac{8}{21} \\\\= \frac{2*(-8)}{7*21} \\\\= \frac{-16}{147} \\\\\rule[225]{225}{2}\)
Hope this helped!
~AH1807Find the area of each figure. Round to the nearest hundredth where necessary.
(5) The area of trapezium is 833.85 m².
(6) The area of the square is 309.76 mm².
(7) The area of the parallelogram is 148.2 yd².
(8) The area of the semicircle is 760.26 in².
(9) The area of the rectangle is 193.52 ft².
(10) The area of the right triangle is 183.74 in².
(11) The area of the isosceles triangle is 351.52 cm².
What is the area of the figures?The area of the figures is calculated as follows;
area of trapezium is calculated as follows;
A = ¹/₂ (38 + 13) x 32.7
A = 833.85 m²
area of the square is calculated as follows;
A = 17.6 mm x 17.6 mm
A = 309.76 mm²
area of the parallelogram is calculated as follows;
A = 19 yd x 7.8 yd
A = 148.2 yd²
area of the semicircle is calculated as follows;
A = ¹/₂ (πr²)
A = ¹/₂ (π x 22²)
A = 760.26 in²
area of the rectangle is calculated as follows;
A = 16.4 ft x 11.8 ft
A = 193.52 ft²
area of the right triangle is calculated as follows;
based of the triangle = √ (29.1² - 14.6²) = 25.17 in
A = ¹/₂ x 25.17 x 14.6
A = 183.74 in²
area of the isosceles triangle is calculated as follows;
height of the triangle = √ (30² - (26/2)²) = √ (30² - 13²) = 27.04 cm
A = ¹/₂ x 26 x 27.04
A = 351.52 cm²
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compute the equation for the line between (4,5,6) and (1,0,-3) in r^3 and find the midpoint between the two points.
The computed value of equation for the line between (4,5,6) and (1,0,-3) in R³, (x, y,z) = (4,5,6) + (1,0,-3) and the midpoint between the two points is equals to the \( (\frac{5}{2}, \frac{5}{2}, \frac{3}{2}). \).
We have to determine the equation for the line between (4,5,6) and (1,0,-3) in R³. Equation is written as (x, y,z) = (4,5,6) + (1,0,-3). The midpoint is equals to middle point of a line segment. It is equidistant from both endpoints. The midpoint can be found with the formula, \((x, y, z) = (\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}, \frac{z_1 + z_2}{2})\)
Here (x₁, y₁ , z₁) and (x₂, y₂, z₂) are the coordinates of two points, and the midpoint is a point lying equidistant and between these two points. Here,
x₁ = 4, y₁ = 5, z₁ =6 and x₂ = 1, y₂=0, z₂ = -3, Substitute all known values in above formula, \((x, y, z) = (\frac{4+1}{2}, \frac{5+ 0}{2}, \frac{6+ (-3)}{2}). \)
=\( (\frac{5}{2}, \frac{5}{2}, \frac{3}{2}). \)
Hence, required value of midpoint is
\( (\frac{5}{2}, \frac{5}{2}, \frac{3}{2}). \)
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Calculate the circumference of the circles with the following dimensions.
C-circumference
D-diameter
R-radius
P-3.14
1.
D= 4 in
D= 6 in
D=12 in
2.
R= 2 ft
R= 14 ft
R= 12 ft
3.
R= 9 ft
R= 11 ft
R= 7 ft
4.
D= 10 ft
R= 9 ft
D= 13 ft
Answer:
BELOW
Step-by-step explanation:
1) C= PD so
a) 12.56
b) 18.84
c) 37.68
2) C=2PR so
a) 2*3.14*2= 12.56
b) 2*3.14*14= 87.92
c) 2*3.14*12= 75.36
3) C=2PR so
a) 56.52
b) 69.08
c) 43.96
4)
a) 31.4
b) 56.52
c) 40.82
At LaGuardia Airport for a certain nightly flight, the probability that it will rain is 0.11 and the probability that the flight will be delayed is 0.14. The probability that it will not rain and the flight will leave on time is 0.76. What is the probability that the flight would be delayed when it is raining? Round your answer to the nearest thousandth.
Since probabilities cannot be negative, we can conclude that the given probabilities are inconsistent or there might be an error in the information provided. Please verify the values and provide correct probabilities so that we can accurately calculate P(B|A), the probability of the flight being delayed when it is raining.
Let's denote the events as follows:
A: It will rain
B: The flight will be delayed
We are given the following probabilities:
P(A) = 0.11 (probability of rain)
P(B) = 0.14 (probability of flight delay)
P(A'∩B') = 0.76 (probability of no rain and on-time departure)
We can use the probability formula to calculate the probability of the flight being delayed when it is raining, P(B|A), which is the probability of B given A.
We know that:
P(B|A) = P(A∩B) / P(A)
To find P(A∩B), we can use the formula:
P(A∩B) = P(A) - P(A'∩B')
Substituting the given values:
P(A∩B) = P(A) - P(A'∩B')
P(A∩B) = 0.11 - 0.76
P(A∩B) = -0.65
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What is the solution to x2 – 9x < –18?
x < –6 or x > 3
–6 < x < 3
x < 3 or x > 6
3 < x < 6
The correct solution to the inequality x^2 - 9x < -18 is x < 3 or x > 6.
To solve the inequality x^2 - 9x < -18, you can follow these steps:
Move all terms to one side of the inequality to form a quadratic expression: x^2 - 9x + 18 < 0.
Factorize the quadratic expression: (x - 6)(x - 3) < 0.
Determine the sign of the expression for different intervals of x. To do this, you can create a sign chart:
Interval | (x - 6) | (x - 3) | (x - 6)(x - 3) |
x < 3 | - | - | + |
3 < x < 6 | - | + | - |
x > 6 | + | + | + |
Analyze the sign chart to determine when the expression (x - 6)(x - 3) is less than zero (negative).
The expression is negative when x is between 3 and 6, i.e., 3 < x < 6.
Write the solution in interval notation:
x < 3 or x > 6
Therefore, the correct solution to the inequality x^2 - 9x < -18 is x < 3 or x > 6.
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Which of the following lists of ordered pairs is a function?
Answer:
C is a function
Step-by-step explanation:
for a relation to be a function each value of x must map to exactly one unique value of y
A
2 → 5 and 2 → 2 ← not a function
B
- 1 → 6 and - 1 → 7 ← not a function
C
all values of x map to exactly one unique y ← function
D
3 → 1 and 3 → 2 ← not a function
If all you know is that the Range of the function f(x)=5x−10 is given by the set of all positive real numbers then what is the Domain of the function? Exercise 2: Graph each of the following functions and then either obtain its inverse and graph it or explain why the function is not invertible.
The domain of the function f(x) = 5x - 10 is the set of all real numbers.
If the range of the function f(x) = 5x - 10 is given by the set of all positive real numbers, we can determine the domain of the function based on this information.
The range of the function is the set of all possible output values (y-values) that the function can produce.
The range is specified as all positive real numbers.
To find the domain of the function, we need to consider the values of x for which the function is defined and produces valid outputs.
The function f(x) = 5x - 10 is a linear function, which means it is defined for all real numbers.
The domain of a linear function is unrestricted, meaning it includes all real numbers.
Moving on to Exercise 2, graphing each of the given functions would require the specific functions to be provided.
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PLEASE HELP ITS EASY
Which product is less than
5/8 ?
Answer:
C
Step-by-step explanation:
Explain the difference between using the cosine ratio to solve for a missing angle in a right triangle versus using the secant ratio. You must use complete sentences and any evidence needed (such as an example) to prove your point of view.
Answer:
Cosine is:
cos x = adjacent leg / hypotenuseSecant is:
sec x = hypotenuse / adjacent legor
sec x = 1/cos xBoth refer to the same (adjacent) angle therefore cosine is used more often than secant.
Answer:
Step-by-step explanation:
In trigonometry, secant in a right triangle, is the reciprocal of the cosine of an angle symbol: sec while cosine is in a right triangle, is the ratio of the length of the side adjacent to an acute angle to the length of the hypotenuse.
The cosine of an angle is the ratio of the length of the side adjacent to the angle divided by the length of the hypotenuse of the triangle. The cosine of ∠A will be abbreviated as cos ∠A
The secant of x is 1 divided by the cosine of x: sec x = 1 cos x , and the cosecant of x is defined to be 1 divided by the sine of x: csc x = 1 sin x .