2.
Sarah buys seven 16 oz drinks at
Jamba. Each 16 oz drink is six
dollars. She also had a coupon for
$3 off the total purchase. How much
did she pay?
Answers
Answer:
7×6=42
42-3=39
$39 thats the amount she paid
Step-by-step explanation:
Related Questions
A population of 12,000 fish has a growth rate of 4% each year. Write a model for the situation About how many years will it take for the population to
reach 20,000?
O A 12,000(1.047" = 20,000; 1.6 years
B. 12,000(1.04)" = 20,000: 13.02 years
C. 12,000 0.00 – 20.000; 12.77 years
D. 12,000.00 = 20,000: 5 29 years
Answers
Answer:
B
Step-by-step explanation:
Trial and error into (ABOUT/APPROXIMATELY)
y=12000(1.04)^x
Write an equation of the line giventge slope and one point.
slope 5,point (2/5 ,12)
Answers
Answer:
Step-by-step explanation:
A straight line will have the form y=mx+b, where m is the slope of b the y-intercept (the value of y when x = 0).
Slope is given as 5, That means:
y = 5x+b
We need a value of b that forces the line to gto through (2/5,12), Enter the point in the above equation and solve for b:
y = mx + b
12 = 5 (2/5) + b
12 = 2 + b
b = 10
y = 5x + 10
See attached graph.
classify the quadric surface. 16x2 − y2 + 16z2 = 4
Answers
The given equation, 16x² - y² + 16z² = 4, represents a quadric surface known as an elliptic paraboloid.
To determine the classification, we can examine the coefficients of the squared terms. In this case, the coefficients of x², y², and z² are positive, indicating that the surface is bowl-shaped. Additionally, the signs of the coefficients are the same for x² and z², indicating that the bowl opens upward along the x and z directions.
The negative coefficient of y², on the other hand, means that the surface opens downward along the y direction. This creates a cross-section in the shape of an elliptical parabola.
Considering these characteristics, the given equation represents an elliptic paraboloid.
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Can someone please help me with this? There's two images btw.
Answers
Answer:
Part A: 13.5 meters
Part B: 3.25 hours
Step-by-step explanation:
Work shown
1. Find one pair $(x,y)$ of real numbers such that $x + y = 4$ and $x^3 + y^3 = 100.$
2.For what real values of $k$ does the quadratic $12x^2 + kx + 27 = 0$ have nonreal roots? Enter your answer as an interval.
3.Find all pairs $(x,y)$ of real numbers such that $x + y = 10$ and $x^2 + y^2 = 56$.
4.Simplify $\displaystyle\frac{1-i}{2+3i}$, where $i^2 = -1.$
5.What is the smallest value of $x$ that satisfies the equation $8x^2 - 38x + 35 = 0$? Express your answer as a decimal.
Answers
1) The pairs \((x, y) = (2 + \sqrt{7}, 2 - \sqrt{7})\) and \((x, y) = (2 - \sqrt{7}, 2 + \sqrt{7})\) are solutions of the system.
2) The quadratic formula has conjugated complex roots for \(k \in (-36, 36)\).
3) The pairs \((x, y) = (5 + \sqrt{47}, 5 - \sqrt{47})\) and \((x, y) = (5 - \sqrt{47}, 5 + \sqrt{47})\) are solutions of the system.
4) The complex number \(z = \frac{1-i}{2+3\cdot i}\) is equal to the complex number \(-\frac{1}{13}-\frac{5}{13}\cdot i\).
5) \(1.25\) is the smallest value that satisfies the quadratic equation \(8\cdot x^{2}-38\cdot x + 35 = 0\).
Procedure - Miscellaneous on quadratic functions and complex numbers1) Pair of real numbers within a system of equations (I)We need to solve the following system of equations to determine at least one pair of real numbers that are its solution:
\(x+y = 4\) (1)
\(x^{3} + y^{3} = 100\) (2)
By (1) in (2) we have the following expression.
\((4-y)^{3} + y^{3} = 100\)
\(y^{2}-48\cdot y -36 = 0\) (3)
Whose solutions are: \(y_{1} = 2 + \sqrt{7}\), \(y_{2} = 2 - \sqrt{7}\)
And by (1) we find the respective solutions for \(x\): \(x_{1} = 2-\sqrt{7}\), \(x_{2} = 2 +\sqrt{7}\).
In a nutshell, the pairs \((x, y) = (2 + \sqrt{7}, 2 - \sqrt{7})\) and \((x, y) = (2 - \sqrt{7}, 2 + \sqrt{7})\) are solutions of the system. \(\blacksquare\)
2) Real values associated to conjugated complex roots of a quadratic formulaBy the Quadratic Formula we understand that roots of
\(12\cdot x^{2}+k\cdot x + 27 = 0\) are conjugated complex if and only if the following condition is observed:
\(d^{2} = k^{2}-1296 < 0\) (4)
Where \(d\) is the discriminant of the quadratic formula.
After some mathematical handling we have the following result:
\(k^{2} < 1296\)
\(-36 < k < 36\)
Hence, the quadratic formula has conjugated complex roots for \(k \in (-36, 36)\). \(\blacksquare\)
3) Pair of real numbers within a system of equations (II)By using the approach used in part 1), we find that the resulting polynomial is \(2\cdot y^{2} -20\cdot y -44 = 0\) for \(x = 10-y\), whose solutions are \((x,y) = (5 + \sqrt{47}, 5 - \sqrt{47})\) and \((x,y) = (5-\sqrt{47}, 5+\sqrt{47})\).
In a nutshell, the pairs \((x, y) = (5 + \sqrt{47}, 5 - \sqrt{47})\) and \((x, y) = (5 - \sqrt{47}, 5 + \sqrt{47})\) are solutions of the system. \(\blacksquare\)
4) Simplification of a complex numberLet be \(z = \frac{1-i}{2+3\cdot i}\), we proceed to simplify the expression by means of complex algebra:
\(\frac{1-i}{2+3\cdot i} = \frac{(1-i)\cdot (2-3\cdot i)}{(2+3\cdot i)\cdot (2-3\cdot i)} = \frac{2-5\cdot i + 3\cdot i^{2}}{2^{2}+3^{2}} = -\frac{1}{13} -\frac{5}{13} \cdot i\)
The complex number \(z = \frac{1-i}{2+3\cdot i}\) is equal to the complex number \(-\frac{1}{13}-\frac{5}{13}\cdot i\). \(\blacksquare\)
5) Determination of the least root by the quadratic formulaLet be \(8\cdot x^{2}-38\cdot x + 35 = 0\), whose roots are contained in the following quadratic formula:
\(x = \frac{38\pm \sqrt{(-38)^{2}-4\cdot (8)\cdot (35)}}{2\cdot (8)}\)
Whose solutions are: \(x_{1} = 3.5\) and \(x_{2} = 1.25\). We notice that the latter root is the smallest value of \(x\). In consequence, we conclude that \(1.25\) is the smallest value that satisfies the quadratic equation \(8\cdot x^{2}-38\cdot x + 35 = 0\). \(\blacksquare\)
RemarkThe statement is poorly formatted. Correct form is presented below:
Find one pair \((x,y)\) of real numbers such that \(x+y = 4\) and \(x^{3} + y^{3} = 100\). For what real values of \(k\) does the quadratic \(12\cdot x^{2}+k\cdot x + 27 = 0\) have nonreal roots? Enter your answer as an interval.Find all pairs \((x,y)\) of real numbers such that \(x+y = 10\) and \(x^{2}+y^{2} = 56\).Simplify \(\frac{1-i}{2+3\cdot i}\) where \(i^{2} = -1\).What is the smallest value of \(x\) that satisfies the equation \(8\cdot x^{2}-38\cdot x + 35 = 0\)? Express your answer as a decimal.To learn more on quadratic functions, we kindly invite to check this verified question: https://brainly.com/question/4119784
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The radius of a circle is 7 millimeters. What is the circle's area?
Use 3.14 for a.
square millimeters
Answers
Answer:
153.86
Step-by-step explanation:
formula - πr²
= 3.14 * 7²
= 153.86
1) The cost of a gallon of orange juice is $2.50. What is the maximum
number of containers you can buy for $15?
Answers
Answer:
6
Step-by-step explanation:
15 divided by 2.50 is 6
Example 3: Random variable X is distributed with the following pdf. sin(x), for 0 < xsa f(x)= 10, otherwise a. What is the value of the constant A? b. What is the corresponding CDF? c. What is E(x)? d. What is Var(x)?
Answers
The corresponding CDF is:F(x) = 1 - cos(x) for 0 < x < π/2F(x) = 1 for x ≥ π/2c. The expected value or mean of the given random variable X is 2. d. The variance of the given random variable X is π²/4 + 2π - 6.
The value of the constant A can be obtained by using the normalization condition that the integral of the PDF function over the entire possible range of X must be equal to 1. So, we can write the following integral to solve for
A:(∫f(x) dx) from 0 to π/2=∫A sin(x) dx= A [-cos(x)] evaluated at π/2 and 0= -A(cos(π/2) - cos(0))= A (1 - 0) =1. Therefore, the value of the constant A is 1. b. The CDF of the given random variable X is given as follows:
F(x)=∫f(x)dx from 0 to x, for 0 < x < π/2=∫sin(x) dx from 0 to x= [-cos(x)] evaluated at x and 0= -cos(x) - (-cos(0))= 1 - cos(x) for 0 < x < π/2=1 for x ≥ π/2. So, the corresponding CDF is as follows:
F(x) = 1 - cos(x) for 0 < x < π/2F(x) = 1 for x ≥ π/2c. The expected value or mean of the given random variable X can be obtained using the following formula:
E(X) = ∫xf(x)dx from 0 to π/2=∫x sin(x) dx from 0 to π/2= [-x cos(x)] evaluated at π/2 and 0 - ∫-cos(x) dx from 0 to π/2= -0 + cos(0) - ([-cos(x)] evaluated at π/2 and 0)= 0 + 1 - (-1)= 2. So, the expected value of the given random variable X is 2.
d. The variance of the given random variable X can be obtained using the following formula:
Var(X) = E(X²) - [E(X)]²=∫x² f(x)dx from 0 to π/2 - [E(X)]²=∫x² sin(x)dx from 0 to π/2 - (2)²= [-x² cos(x)] evaluated at π/2 and 0 + ∫2x cos(x)dx from 0 to π/2 - 4= -0 + π²/4 - 4 + (2 sin(x) + 2x cos(x)) evaluated at π/2 and 0= π²/4 - 2 - 4 + 2 + 2π= π²/4 + 2π - 6. So, the variance of the given random variable X is π²/4 + 2π - 6
Hence, the answer is: a. The value of the constant A is 1.b. The corresponding CDF is : F(x) = 1 - cos(x) for 0 < x < π/2F(x) = 1 for x ≥ π/2c. The expected value or mean of the given random variable X is 2. d. The variance of the given random variable X is π²/4 + 2π - 6
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Bob's dog, Buster, is a finicky eater. Bob is trying to determine which of two brands of
canned cat food Buster prefers, Busted Nuggets or Busted Tenders. For two months, he
flips a coin each day to decide which of the two foods to feed Buster, and weighs how
much Buster eats (in grams). Here are the data:
Dog Food
n X
S
Busted Nuggets 31 152.6 4.45
Busted Tenders 31 163.7 5.75
Construct and interpret a 98% confidence interval for the difference in mean amount of
food Buster eats when he is offered Busted Nuggets and when he is offered Busted
Tenders.
Answers
We can be 98% cοnfident that the true difference in mean amοunt οf fοοd Buster eats when οffered Busted Nuggets and Busted Tenders is between -14.566 and -7.634 grams
Hοw tο cοnstruct cοnfidence interval?Calculate the sample mean difference and the standard errοr οf the difference in οrder tο build the cοnfidence interval fοr the difference in the mean amοunt οf fοοd that Buster cοnsumes when served Busted Nuggets and Busted Tenders.
The sample mean difference is:
X1 - X2 = 152.6 - 163.7 = -11.1 grams.
The standard errοr οf the difference can be calculated as fοllοws:
SE = √(S1²/n1 + S2²/n2)
where S1 and S2 are the sample standard deviatiοns οf the twο grοups and n1 and n2 are the sample sizes.
Substituting the values, we get:
SE = √(4.45²/31 + 5.75²/31) = 1.463
ME = t x (SE) = 2.365 x 1.463 = 3.466
Finally, the cοnfidence interval fοr the difference in mean amοunt οf fοοd Buster eats is:
-11.1 - 3.466 < µ1 - µ2 < -11.1 + 3.466
-14.566 < µ1 - µ2 < -7.634
Hence, we have a 98% cοnfidence level that Buster actually cοnsumes between -14.566 and -7.634 grammes less fοοd οn average when given the chοice between Busted Nuggets and Busted Tenders. This periοd can be understοοd as Buster favοring Busted Tenders because οf the negative.
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The table below shows the linear relationship between
the number of people at a picnic and the total cost of the
picnic.
Number of People
6
9
12
Intro
15
Total Cost ($)
52
58
64
70
Which statements about the function described by the
table are true? Check all that apply.
The independent variable is the number of people.
The initial value (initial fee) for the picnic is $40.
The rate of change is $8.67 per person.
As the number of people increases, the total cost of
the picnic increases.
If 4 people attended the picnic, the total cost would
be $46.
Done
Answers
The initial value (initial fee) for the picnic is $40. Then the correct options are A, B, and D.
What is the equation of a line passing through two points?Let the equation of the line pass through (x₁, y₁) and (x₂, y₂). Then the equation of the line is given as,
\(\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)\)
Let 'x' be the number of people and 'y' be the total cost.
From the table, the two points are (6, 52) and (9, 58). Then the equation of the line is given as,
(y - 52) = [(58 - 52) / (9 - 6)](x - 6)
y - 52 = 2x - 12
y = 2x + 40
The initial value (initial fee) for the picnic is $40. Then the correct options are A, B, and D.
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Aisha is ordering a taxi from an online taxi service. She has to pay a flat charge just to
order the taxi, and then has to pay per mile, depending on how far she travels. She
wrote an equation to represent her total cost, y = 2.8x + 2, where y represents the
total cost in dollars and cents, and a represents the number of miles she travels,
What could the number 2 represent in the equation?
Answers
Answer:
The flat charge
Step-by-step explanation:
The number 2 could represent the flat charge in the equation because a flat charge never changes. In the equation, the 2 (y-intercept) is the only term that does not change. The value of 2.8x depends on what the value of x is, and the value of y depends on what the value of 2.8x + 2 is. Therefore, 2 could represent the flat charge in the equation.
Round to 1 decimal place
84.74
Answers
Round the tenths(7) and since 4 is lower than 5 you keep 7
Melody spent 16 days traveling in South America. How many weeks and days did Melody travel in South America?
Answers
Answer: 2 week and 2 days
Step-by-step explanation:
Given
Melody spent 16 days in South America
A week consists of 7 days
In 2 weeks it is, 14 days
So, 16 days is equivalent to 2 weeks and 2 days
Melody spent 2 weeks and 2 days in South America
HELP ASAP!!! 50 POINTS!!! AND BRAINLIEST!!
When comparing the f(x) = x2 – x and g(x) = log(2x + 1), on which interval are both functions positive?
(–∞, 0)
(0, 1)
(1, ∞)
(∞, ∞)
Answers
Both functions g(x) and f(x) are positive in the interval of (1, ∞). Then the correct option is C.
What is the domain and range of a function?The domain is the set of values for which the given function is defined.
The range is the set of all values which the given function can output.
When comparing the f(x) = x² – x and g(x) = log(2x + 1).
For f(x), we have
f(x) = x² – x
f(x) = x² – x + 1/4 - 1/4
f(x) = (x - 1/2)² - 1/4
The domain and the range of the function f(x) will be (-∞, ∞) and (-5, ∞).
For g(x), we have
g(x) = log(2x + 1)
The domain and the range of the function g(x) will be (-1/2, ∞) and (-∞, ∞).
Both functions g(x) and f(x) are positive in the interval of (1, ∞). Then the correct option is C.
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Question 16 of 35
Henri earned $1030 a week last year. What was his yearly salary?
OA. $54,600
OB. $53,560
OC. $52,800
OD. $49,440
SUBMIT
Answers
Explanation: there are 52 weeks in a year, so 1030 x 52 = 53,560
a wire whose length is given as x inches is bent into a square. express the length of a side of the square in terms of x.
Answers
Therefore, the length of a side of the square is x/4 inches by the equation.
In this context, we have a wire that we need to bend into a square. A square has four equal sides, so if we let s be the length of one side of the square, then the total length of the wire must be 4s.
The equation 4s = x represents this relationship, where x is the total length of the wire.
To solve for s, we can isolate s on one side of the equation by dividing both sides by 4. This gives us:
4s / 4 = x / 4
Simplifying, we get:
s = x / 4
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riley wants to make 100 ml of a 25% saline solution but only has access to 12% and 38% saline mixtures. which of the following system of equations correctly describes this situation if x represents the amount of the 12% solution used, and y represents the amount of the 38% solution used?
Answers
The correct system of equations that describes the situation is: 0.12x + 0.38y = 0.25(100) x + y = 100. Riley to make a 25% saline solution using the available 12% and 38% saline mixtures.
The problem states that Riley wants to make 100 ml of a 25% saline solution using 12% and 38% saline mixtures. To solve this problem, we need to set up a system of equations that represents the given conditions. Let x represent the amount of the 12% solution used, and y represent the amount of the 38% solution used.
The first equation in the system represents the concentration of saline in the mixture. We multiply the concentration of each solution (0.12 and 0.38) by the amount used (x and y, respectively) and add them together. The result should be equal to 25% of the total volume (0.25(100)) to obtain a 25% saline solution.
The second equation in the system represents the total volume of the mixture, which is 100 ml in this case. We add the amounts used from both solutions (x and y) to get the total volume.
By solving this system of equations, we can find the values of x and y that satisfy the given conditions and allow Riley to make a 25% saline solution using the available 12% and 38% saline mixtures.
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Given: △ABC, m∠A=60°,
m∠C=45°, AB=9
Find: Perimeter of △ABC,
Area of △ABC
Answers
Answer:
Perimeter of ΔABC: \(\frac{27}{2}\) + \(\frac{9}{2} * \sqrt6\) units
Area of ΔABC: \(\frac{81}{8}*\sqrt3 + \frac{243}{8}\) units
Skills required: HS Geo, Special Triangles
Step-by-step explanation:
1) The best option is to break down this triangle. Let's draw an altitude from Point B down to Segment AC. The point from the altitude that intersects AC is Point D. BD is the height of our triangle, AC is the base.
2) Angle A is 60 degrees, and since Angle BDA is 90 degrees, Angle ABD is 30 degrees. We can use the 30-60-90 degree right triangle property for the triangle BDA.
This states that if the side opposite the 30 degree angle is \(x\), the side opposite the 60 degree angle is \(x*\sqrt3\), and the side opposite the 90 degree angle is \(2x\).AB is 9 units, and it is opposite the 90 degree angle. This means that \(2x=9, x = \frac{9}{2}\) ==> This then means that AD, the segment opposite the 30 degree angle in this triangle is \(\frac{9}{2}\) units. Segment BD (the height) is \(\frac{9}{2} * \sqrt3\).
3) Angle C is 45 degrees, and Angle BDC is 90 degrees, which means that Angle CBD is 45 degrees. We can use the 45-45-90 degree right triangle property for the triangle BCD.
This states that if the side opposite the 45 degree angle is \(x\), the other side opposite a 45 degree angle is also \(x\), but the hypotenuse (side opposite the right (90 degree) angle) is \(\sqrt{2}*x\).BD is \(\frac{9}{2} * \sqrt3\), which means DC is the same. BC, which is the hypotenuse is BD multiplied by square-root-2, which is \(\frac{9}{2} * \sqrt6\).
4) Area is \(\frac{1}{2}*b*h\), the base (b) is AC (which is \(\frac{9}{2}+\frac{9}{2}*\sqrt3\)), the height is BD (\(\frac{9}{2}*\sqrt3\)). When multiple you will get \(\frac{81}{4}*\sqrt3 + \frac{243}{4}\), then this multiplied by 1/2 is
\(\frac{81}{8}*\sqrt3 + \frac{243}{8}\) <--> this is the area!
5) Perimeter is just the sum of all side: 9 + \(\frac{9}{2}\) + \(\frac{9}{2} * \sqrt6\) = \(\frac{27}{2}\) + \(\frac{9}{2} * \sqrt6\) unit
Below is a list of Gabrielle’s assets and liabilities.
Assets Liabilities
Value of Auto $19,634.00 College Loans $10,478.00
Checking Account $1,062.32 Credit Card Debt $271.25
In addition to the list above, Gabrielle has just paid off her furniture, which is valued at $2,500.00. Based on the assets and liabilities above and the value of the furniture, what is Gabrielle’s net worth?
$33,945.60
$7,447.07
$5,322.43
$12,447.07
Answers
Answer:
Its A
Step-by-step explanation:
Answer:
A i did this before
Step-by-step explanation:
pls help if you can asap!!!!
Answers
Answer: x= 6
Step-by-step explanation:
Since the shape is a parallelogram, the angles will either be equal to each other or add up to 180.
You can see they do not look the same so they add up to equal 180
12x + 3 +105 = 180
12x + 108 = 180
12x = 72
x = 6
rainwater was collected in water collectors at thirty different sites near an industrial basin and the amount of acidity (ph level) was measured. the mean and standard deviation of the values are 4.8 and 1.2 respectively. when the ph meter was recalibrated back at the laboratory, it was found to be in error. the error can be corrected by adding 0.3 ph units to all of the values and then multiply the result by 1.4. find the mean and standard deviation of the corrected ph measurements.
Answers
To find the mean and standard deviation of the corrected pH measurements, we can use the following formulas:
Corrected Mean = (Original Mean + Correction Factor) * Multiplication Factor
Corrected Standard Deviation = Original Standard Deviation * Multiplication Factor
The correction factor is 0.3 and the multiplication factor is 1.4. Therefore, the corrected mean is:
Corrected Mean = (4.8 + 0.3) * 1.4 = 7.14
And the corrected standard deviation is:
Corrected Standard Deviation = 1.2 * 1.4 = 1.68
Therefore, the mean of the corrected pH measurements is 7.14 and the standard deviation is 1.68.
In summary, to find the corrected mean and standard deviation of the pH measurements, we need to add the correction factor (0.3) to the original mean, multiply the result by the multiplication factor (1.4), and multiply the original standard deviation by the multiplication factor. The corrected mean is 7.14 and the corrected standard deviation is 1.68.
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Jake went on a road trip with his family this summer. On Monday, they drove 629 miles. Tuesday, they drove 215 miles. On Wednesday, they only drove 111 miles. And, on Thursday, they drove 588 miles. What is the total number of miles that Jake's family traveled?
Answers
Answer:
1543 miles
Step-by-step explanation:
629 + 215 + 111 + 588 = 1543
what will I get for the answer 12(2x2−8)+13(6x2−3)
Answers
Answer:
102x^2 - 135
Step-by-step explanation:
Here we must follow order of operations rules:
1. Anything enclosed inside parentheses must be done first
2. Multiplication before addition/subtraction
Thus, 12(2x^2−8)+13(6x^2−3) becomes (after multiplication):
24x^2 - 96 + 78x^2 - 39
The next step is to combine like terms:
102x^2 - 135
This cannot be simplified further. 102 and 135 have no common factors.
Thus, 12(2x^2−8)+13(6x^2−3) = 102x^2 - 135
Answer:
3x^2-5
Step-by-step explanation:
i found out myself after searching the question
Write the equation of
the line that passes
through (2,-4) &
has a slope of -1.
Answers
Answer:
y= -1x-6
Step-by-step explanation:
The equation would be y=mx+b
M= slope, and B=y-intercept
If you look at a graph and use the slope to get to the Y-intercept you'll see that it is -6, and so you would just plug that into the equation along with the slope :)
Solve. 3.8 ≥ b + 4
A. b ≤ –0.2
B. b ≤ 0.2
C. b ≤ 7.8
D. b ≤ 1.8
Answers
and if you add 4 to -0.2 it will equal 3.8
Answer:
hi
Step-by-step explanation:
c?
TRUE / FALSE. is it possible to get a very strong correlation just by chance when in fact there is no relationship between the two variables?
Answers
It is generally not possible to obtain a very strong correlation just by chance when there is no relationship between two variables.
Correlation measures the strength and direction of the linear relationship between two variables. It ranges from -1 to +1, with 0 indicating no correlation. In statistical analysis, correlation is based on analyzing the data and calculating the correlation coefficient. If there is no true relationship between the variables, it is unlikely to obtain a very strong correlation solely by chance. The correlation coefficient reflects the extent to which the variables move together in a predictable pattern. Random chance would not consistently produce a strong correlation, as it requires a genuine relationship between the variables to generate a high correlation coefficient.
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how much is 12kg to lbs?
Answers
Answer:
26.4 lbs
Step-by-step explanation:
.The displacement (in meters) of a particle moving in a straight line is given by s = t^2 − 8t + 15, where t is measured in seconds.
(a) Find the average velocity over each time interval.
Answers
The formula for the average velocity of the particle over the time interval [t1, t2] is: \((t2 - t1)^(^-^1^) * [(t2^2 - 8t2) - (t1^2 - 8t1)]\)
To find the average velocity of a particle moving in a straight line over each time interval, we need to calculate the change in displacement divided by the change in time over that interval.
The displacement of the particle as a function of time is given by:
s = t^2 − 8t + 15
If we take the derivative of s with respect to time t, we get:
v = ds/dt = 2t - 8
This equation gives us the instantaneous velocity of the particle at any point in time t. To find the average velocity over a particular time interval [t1, t2], we can integrate the velocity equation from t1 to t2, and then divide by the total time interval:
average velocity = (1 / (t2 - t1)) * ∫(t1 to t2) (2t - 8) dt
Integrating, we obtain:
average velocity = (1 / (t2 - t1)) * [(t^2 - 8t) from t1 to t2]
Simplifying, we get:
average velocity = (1 / (t2 - t1)) * [(t2^2 - 8t2) - (t1^2 - 8t1)]
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Triangle PQR is shown, what is the value of x?
Answers
Answer:X = 13
Step-by-step explanation:
An exterior angle is equal to the sum of the two opposite interior angle
⇒95=4x+3 + 3x+ 1
95=4x + 3x + 3 + 1
95=7x + 4
95-4=7x
91=7x
91/7=x
13=x
This implies that X= 13
Suppose ac = 5 cm, bc = 12 cm, and . to the nearest tenth of a unit, the radius of the circumscribed circle is cm and m∠oac = °.
Answers
The radius of the circumscribed circle and m∠OAC will be 6.5 cm and 44.8°.
The complete question and missing diagram is given below.
Suppose AC = 5 cm, BC = 12 cm, and mAC = 45.2°. to the nearest tenth of a unit, the radius of the circumscribed circle is cm and m∠OAC.
What is a circle?It is the center of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
Suppose AC = 5 cm, BC = 12 cm, and mAC = 45.2°.
Then the radius of the circumscribed circle will be given by Pythagoras theorem.
(2r)² = 5² + 12²
(2r)² = 169
(2r) = 13
r = 6.5 cm
The angle subtend by7 the end points of the diameter at periphery is 90 degrees.
And the measure of the angle ∠OAC will be
∠OAC + 90° + 45.2° = 180°
∠OAC = 44.8°
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