Answer:
y >13
Step-by-step explanation:
y - 2 > 11
solve like how you would solve an equation, with inverse operations
y -2 > 11
+2 +2
y > 13
Answer:
it shoud just be y>13
Step-by-step explanation:
bc you add 2 to each side which cancels the -2 on the left and makes the 11 on the right 13
Need Help with a math question asap
I can't seem to get this one quite right
2(x+8)^(2)+9=29
Answer format: (__,__)
Answer:
x = {-8 - √10, -8 + √10} exact answer
x = {-11.16, -4.84} decimal approximation
Step-by-step explanation:
2(x + 8)²+ 9 = 29
Subtract 9 from both sides
2(x + 8)² = 20
Divide both sides by 2
(x + 8)² = 10
Take the square root of both sides
x + 8 = ±√10
Subtract 8 from both sides
x = -8 ± √10
x = {-8 - √10, -8 + √10} exact answer
x = {-11.16, -4.84} decimal approximation
Which of the following is the equation of a nonlinear function?
A. y=25
B. y=x-3/4
C. y=10x
D y=x^2+15
The equation of a nonlinear function is D) y=x^2+15.
A nonlinear function is a function that does not have a constant rate of change. Option A (y=25) is a linear function because it has a constant rate of change of 0. Option B (y=x-3/4) is also a linear function because it can be simplified to y = x - 0.75, which has a constant rate of change of 1.
Option C (y=10x) is also a linear function because it has a constant rate of change of 10. Option D (y=x^2+15) is a nonlinear function because its rate of change is not constant. The rate of change increases as x increases, which can be seen from the graph of the function as a curve, not a straight line.
Therefore, option D is the equation of a nonlinear function.
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4x + 8y = 24 y = -1 2 x + 5
Answer:the answer to this is 16x -16y=5.
step by step explanation:.
4x+8y=24y=-12x+5
= 4x+13x+8y-24y=5.
16x - 16y =5.
Find the surface area of the piecewise smooth surface that is the boundary of the region enclosed by the paraboloids
z = 8 − 5x2 − 5y2
and
z = 3x2 + 3y2.
The surface area of the piecewise smooth surface that is the boundary of the region enclosed by the paraboloids is For the first paraboloid, \(f(x, y) = 8 - 5x^2 - 5y^2: A1 = ∬√(1 + (-10x)^2 + (-10y)^2) dA\) and for the second paraboloid,\(f(x, y) = 3x^2 + 3y^2: A2 = ∬√(1 + (6x)^2 + (6y)^2) dA.\)
To find the surface area of the piecewise smooth surface which is the boundary of the region enclosed by the paraboloids, we need to calculate the surface area of each paraboloid and then find their intersection curve.
The first paraboloid, \(z = 8 - 5x^2 - 5y^2\), represents an upward-opening paraboloid with its vertex at (0, 0, 8) and a maximum value of 8. The second paraboloid, \(z = 3x^2 + 3y^2\), represents a downward-opening paraboloid with its vertex at (0, 0, 0) and a minimum value of 0.
To find the intersection curve between these two paraboloids, we set the two equations equal to each other:
\(8 - 5x^2 - 5y^2 = 3x^2 + 3y^2\)
Simplifying the equation, we have:
\(8 - 8x^2 - 8y^2 = 0\)
Dividing both sides by 8, we get:
\(1 - x^2 - y^2 = 0\)
This equation represents a circle of radius 1 centered at the origin (0, 0, 0).
To calculate the surface area of each paraboloid, we can use the surface area formula for a general surface z = f(x, y):
\(A = ∬√(1 + (f_x)^2 + (f_y)^2) dA\)
For the first paraboloid, \(f(x, y) = 8 - 5x^2 - 5y^2: A1 = ∬√(1 + (-10x)^2 + (-10y)^2) dA\)
Similarly, for the second paraboloid, \(f(x, y) = 3x^2 + 3y^2: A2 = ∬√(1 + (6x)^2 + (6y)^2) dA.\)
Therefore, integrating these surface area formulas over their respective domains will give the total surface area of the piecewise smooth surface.
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Determine a series of transformations that would map figure T onto figure U.
Please someone quick answer this!!!
To find a probability you take the specific parameters divided by the entire set of possibilities.
For example, the specific parameter here is that the drink must be a medium, (no matter the temperature). So, we would add 48 and 12 to get 60.
And we know that the total number of orders is 100.
So, we should divide 60 by 100, and we get 60%.
he Empirical Rule states that the approximate percentage of measurements in a data set (providing that the data set has a bell-shaped distribution) that fall within three standard deviations of their mean is approximately: A. 68% B. 99% C.95% D. 75% E. None of the above. All of the following statements are true about a normal distribution except: A. A normal distribution is centered at the mean value. B. The standard deviation is a measure of the spread of the normal distribution. C. A normal distribution is a bell-shaped curve showing the possible outcomes for something of interest. D. A normal distribution can be skewed either to the left or to the right. E. A normal distribution is characterized by the mean and standard deviation.
1)The answer to the first question is A. 68%. 2)The statement that is not true about a normal distribution is: D. A normal distribution can be skewed either to the left or to the right.
The Empirical Rule states that for a bell-shaped distribution (which is assumed to be a normal distribution), approximately 68% of measurements fall within one standard deviation of the mean, approximately 95% fall within two standard deviations of the mean, and approximately 99.7% fall within three standard deviations of the mean. Therefore, the answer to the first question is A. 68%.
Regarding the second question, the statement that is not true about a normal distribution is:
D. A normal distribution can be skewed either to the left or to the right.
A normal distribution is symmetric and not skewed. Skewness refers to the asymmetry of the distribution, and a normal distribution by definition does not exhibit skewness. Therefore, the answer is D. A normal distribution cannot be skewed either to the left or to the right.
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what is the answer to 4(5-s)=-12
Answer:
s=8
Step-by-step explanation:
Answer:
S=8
Step-by-step explanation:
4(5-s)=-12
20-4s=-12
20-20-4s=-12-20
-4s=-32
s=8
Volume with fractions
What is the volume of this rectangular prism? 1/2cm 1/2cm 3cm
Answer:
Step-by-step explanation:
E
Answer:
answer 3/4 cm3
1/2*1/2*3cm3= 3/4 cm3
a plumer charges $25 for a service call plus $50 per hour of service. write an equation in slope - intercept form for cost , c ,after h hours of service, what will be the total cost for 8 hours of work? 10 hours of work
The total cost for 10 hours of work would be 25 + 50(10) = 525.
What is cost?Cost is the monitorial associated with the purchase of production of food or service if can include the prices of material of which is over it and other expenses that are related to the production of the code of service cost is a major fraction of when deciding whether to purchase a product something as it is and indicator of the value of the product of sound service.
The marginal cost of producing 5 items can be calculated using the equation C(x)=1300+4x/10. The marginal cost is the cost associated with producing one additional item. To calculate the marginal cost, we can plug in x=5 into the equation.
The equation in slope-intercept form for cost, c, after h hours of service is c = 25 + 50h.
The total cost for 8 hours of work would be 25 + 50(8) = 425.
The total cost for 10 hours of work would be 25 + 50(10) = 525.
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6 2/8 + 4 3/4 whats the answer
Answer:
11
Step-by-step explanation:
6 2/8 = 6 1/4
6 1/4 + 4 3/4 = 10 4/4
11
Answer:
11
Step-by-step explanation:
add the whole numbers and fractional parts of the mixed numbers separately
(6+4) +(2/8+3/4)
10+(2/8+3/4)
10+1
11 is the answer
Felipe transferred a balance of $3700 to a new credit card at the beginning of
the year. The card offered an introductory APR of 5.9% for the first 4 months
and a standard APR of 17.2% thereafter. If the card compounds interest
monthly, which of these expressions represents Felipe's balance at the end of
the year? (Assume that Felipe will make no payments or new purchases
during the year, and ignore any possible late payment fees.)
Compound interest is the interest earned on both the initial principal amount and any accumulated interest from previous periods. It is calculated by applying a percentage rate to the total balance, including interest, and is commonly used in savings accounts, loans, and investments.
Felipe's balance at the end of the year can be calculated using the formula for compound interest:
A = P(1 + r/n)^(nt)
Where A is the ending balance, P is the initial balance, r is the interest rate, n is the number of times the interest is compounded per year, and t is the time in years.
For the first 4 months, the introductory APR of 5.9% is equivalent to a monthly interest rate of 0.59%/12 = 0.0492. So, Felipe's balance after the first 4 months would be:
A1 = 3700(1 + 0.0492/1)^(1*4/12) = 3772.96
After the first 4 months, the standard APR of 17.2% is equivalent to a monthly interest rate of 1.72%/12 = 0.0143. So, Felipe's balance for the remaining 8 months would be:
A2 = 3772.96(1 + 0.0143/1)^(1*8/12) = 3976.55
Therefore, Felipe's balance at the end of the year would be:
A = 3976.55
This assumes that Felipe makes no payments or new purchases during the year and that there are no late payment fees. It is important for Felipe to make payments on time to avoid additional fees and interest charges. Additionally, if Felipe makes new purchases on the card, the balance will increase and the interest charged will be calculated based on the new balance.
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Hello, I am very new to python and I am having trouble with this
problem
The German mathematician Gottfried Leibniz developed the
following method to approximate the value of π:
π = 4(1 - 1/3 + 1/5
To approximate the value of π using the Leibniz method, you can write a Python program that calculates the sum of the series up to a certain number of terms. The more terms you include in the series, the closer the approximation will be to the actual value of π.
The Leibniz method, also known as the Leibniz formula for π, is an infinite series that converges to π/4. The formula is given by:
π = 4(1 - 1/3 + 1/5 - 1/7 + 1/9 - 1/11 + ...)
To approximate π, you can calculate the sum of the series up to a certain number of terms. The more terms you include, the more accurate the approximation will be.
In Python, you can write a program that iterates through the terms of the series and accumulates the sum. Here's an example of how you can implement it:
def approximate_pi(num_terms):
pi = 0
sign = 1
for i in range(1, num_terms*2, 2):
term = sign * (1/i)
pi += term
sign *= -1
return pi * 4
num_terms = 100000 # Choose the number of terms for the approximation
approximation = approximate_pi(num_terms)
In this example, we define the approximate_pi function that takes the number of terms as an argument. The function iterates from 1 to num_terms*2 with a step size of 2, representing the denominators of the series. The sign alternates between positive and negative to include the alternating addition and subtraction. Finally, we return the calculated sum multiplied by 4 to obtain the approximation of π.
By increasing the value of num_terms, you can achieve a more accurate approximation of π. However, keep in mind that the Leibniz method converges slowly, so a large number of terms may be needed for a precise approximation.
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The mass of a water molecule is 3.0 x 10^-23 g. What is the mass of
50,000 molecules?
Answer:
m
Step-by-step explanation:
If you vertically compress the exponential parent function f(x)=2^x by a factor of 3
Vertically compressing the exponential parent function f(x) = 2^x by a factor of 3 means multiplying every function value by 1/3, resulting in a steeper and narrower curve closer to the x-axis.
If we vertically compress the exponential parent function f(x) = 2^x by a factor of 3, it means that every point on the graph of the function will be compressed closer to the x-axis. In other words, the function values will be multiplied by 1/3.
Let's consider a point on the original exponential function, (x, f(x)). After the vertical compression, this point will have the coordinates (x, (1/3)f(x)). For example, if f(x) = 8 for some x, after compression, the corresponding point will be (x, (1/3)(8)) = (x, 8/3).
This vertical compression affects all points on the graph uniformly, resulting in a steeper and narrower curve compared to the original exponential function.
The y-values of the compressed function will be one-third of the y-values of the original function for each x-value. Therefore, the graph will be squeezed vertically, with the y-values closer to the x-axis.
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which statement is true about rectangles.A.the sides in a rectangle are not parallel.B.the opposite sides in a rectangle are equal. I think B.
Given data:
In a rectangle the opposite sides are always parallel and equal.
Maya plots the yards lost during a football game on a number line and labels it A. She plots Point B to the right of zero, a distance that is exactly as far from zero as Point A is. Which sentence is a correct statement about Point B?O The sum of the values of Point A and Point B is negative. O The sum of the values of Point A and Point B is zero. O Point B lies twice the distance film o as Point A.O Point B lies to the left of Point A on a number line. I KNOW ITS NOT A OR C
The number line sketched above shows the positions of both points A and B.
They both are the same distance from the point zero. However, while the measure of the distance is always a positive value, the value on the number line to the left is negative, while that on the right is positive. Therefore, adding both values (same value/distance) on both the left and rigt side will result in 0.
Whatever is the value of B on the number line, e.g, 3 units, then A will be the negative and adding;
\(\begin{gathered} 3+\lbrack-3\rbrack \\ =3-3 \\ =0 \end{gathered}\)The correct answer is option B
PLEASE HELP! I WILL LITERALLY NAME YOU THE BRAINLIEST IF YOU HURRY AND PLEASE HELP ME!
If A is the set of all whole numbers, choose the set B that will make the following statement false.
B ⊆ A
A. B = {0, 2, 4, 6}
B. B = {0}
C. B = {−1, 0, 1}
D. B = {1, 2, 3, 4}
Is it A, B, C, or D? PLEASE HELP AND HURRY!
Which two lines are parallel?
1. 5y=-3x-5
2. 5y = -1-3x
3. 3y - 2x = -1
A. 1 and 3
B. 2 and 3
C. None of the lines are parallel.
D. 1 and 2
Need help with this question brainliest for correct answer
Answer:
\(\huge\boxed{y=\dfrac{4}{3}x-1}\)
Step-by-step explanation:
Let
\(k:y=m_1x+b_1\\l:y=m_2x+b_2\)
then
\(k\perp l\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\k\ ||\ l\iff m_1=m_2\)
==========================================
We have:
\(y=-\dfrac{3}{4}x-3\to m_1=-\dfrac{3}{4}\)
Let
\(y=m_2x+b_2\)
Therefore
\(m_2=-\dfrac{1}{-\frac{3}{4}}=\dfrac{4}{3}\Rightarrow y=\dfrac{4}{3}x+b_2\)
Substitute
\((0,\ -1)\to x=0;\ y=-1\)
\(-1=\dfrac{4}{3}\cdot0+b_2\\\\b_2=-1\)
A bicycle wheel makes 100 revolutions in moving 220 m. Find the radius of the wheel.
The radius of the wheel 0.35m
How to calculate the radius of the wheel?The number of revolutions is 100
The distance is 220 meter
Distance in one revolution= 220/100
= 2.2 meter
The radius of the wheel can be calculated as follows
radius= 2.2/2(3.142)
= 2.2/6.29
= 0.35
Hence the radius of the wheel is 0.35 meter
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A 1/2 kilogram of flour is packed equally into 10 bags How much flour is in each bag?
Answer:
1/20 kilogram of flour is in each bag.
Step-by-step explanation:
(1/2)/10=(1/2)(1/10)=1/20
there are n invitation cards with the names of n different people and n envelopes with their names. we put the cards at random into the envelopes, one card per envelope. what is the chance that not a single invitation landed in the correct envelope?
The probability that not a single invitation landed in the correct envelope is P(n) = D(n) / n! , where D(n) is the number of derangements of n objects.
The number of derangements of n objects is denoted by D(n).
The first few values of D(n) are given below: D(1) = 0 (trivially)D(2)
= 1 (the two objects must switch places)D(3)
= 2 (out of the six possible permutations, only two are derangements)D(4)
= 9 (out of the 24 possible permutations, nine are derangements)D(5)
= 44 (out of the 120 possible permutations, 44 are derangements)
The formula for the number of derangements is D(n) = n! × (1/0! - 1/1! + 1/2! - 1/3! + ··· + (-1)^n / n!), where n! is the factorial of n, 0! = 1 by definition, and (-1)^n is (-1) raised to the power of n.
Hence, we can find the probability that not a single invitation landed in the correct envelope as P(n) = D(n) / n!.
Thus, the probability that not a single invitation landed in the correct envelope is P(n) = D(n) / n! , where D(n) is the number of derangements of n objects.
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The vertex of the graph of y = (x - 1)2.5 is
Answer:
vertex = (1, - 5 )
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
y = (x - 1)² - 5 ← is in vertex form
with (h, k ) = (1, - 5 ) ← vertex
NO EXPLANATION JUST ANSWER!
Answer: 1456 square yds
Step-by-step explanation: Please mark brainliest and give thanks!
Answer:728
Step-by-step explanation:
V=abc=19*14*c=266c=3724
c=14
S=(19c+14c+14*19)=33c+266=33*14+266=728
Teboho has to sell a certain number of cars each month. For every car he sells over and above this number he earns 17% commission on the price of the car before VAT is added. He sold three cars on which he earned commission. The VAT included prices were R271 800,00; R316 800,00 and R99 300,00. Calculate:
1.1 The prices of the cars before VAT was added
1.2 The commission he earned on the cars.
The commission earned are R41123.17, R47931.67 and R15024.09
The prices of the cars before VAT was addedThe VAT included prices are given as:
R271 800,00; R316 800,00 and R99 300,00.
The VAT rate is 12.36%.
So, the price before VAT is calculated as:
VAT included = Price without VAT * (1 + 12.36%)
This gives
VAT included = Price without VAT * 1.1236
So, we have:
Price without VAT = VAT included/1.1236
For the three cars, we have:
Price without VAT = R271 800.00/1.1236 = R241901
Price without VAT = R316800.00 /1.1236 = R281951
Price without VAT = R99300.00/1.1236 = R88377
Hence, the prices of the cars before VAT was added are R241901, R281951 and R88377
The commission he earned on the cars.This is calculated as:
Commission = Price * 17%
So, we have:
Commission = R241901 * 17% = R41123.17
Commission = R281951 * 17% = R47931.67
Commission = R88377 * 17% = R15024.09
Hence, the commission earned are R41123.17, R47931.67 and R15024.09
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I need help ion understand this
Answer:
-1 7/8
Step-by-step explanation:
What's the slope for (9,6)and (5,4)
Answer:
1/2
Step-by-step explanation:
Use the slope formula.
\(m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}\)
4-6/5-9 = -2/-4 = 1/2
Which of the following shows the correct steps in solving the equation?
-8x + 3 = 19
Answer:
-8x=19-3
-8x=16
x= 16/-8
x=-2
Step-by-step explanation:
Answer:
X=-2 (The steps are shown below.
Step-by-step explanation:
-8x+3=19
-3 -3
-8x=16
-8x/-8=16/-8
x=-2
What are the rational roots of 2r^3 - 2r^2 + r + 8
a. 0,±1/2, ±1, ±2, ±4, ±8
b. 1/2, 1, 2, 4, 8
c. -1/2, -1, -2, -4, -8
d. ±1/2,±1,±2,±4,±8
Step-by-step explanation:
D= answer to your problem