Step-by-step explanation:
here are the answers. I hope they're clear.
PLEASE ANSWER THIS ASAP
This is an example of a reflection.
if the 10 musical acts for the winter show are randomly selected, what is the probability that 5 acoustic acts and 5 electric acts get to play in the show?
The probability that 5 acoustic acts and 5 electric acts get to play in the show is 63, 540.
What is combination?Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant.
Given:
Total musician = 10
So, the probability that 5 acoustic acts and 5 electric acts select
= C(10, 5) x C(10, 5)
= 10!/ 5! 5! x 10!/ 5! 5!
= 10 x 9 x 8 x 7 x 6 x 10 x 9 x 8 x 7 x 6 / 5 x 4x 3 x 2 x5 x 4x 3 x 2
= 91,44,57,600/ 14400
= 63540
Learn more about combination here:
https://brainly.com/question/28720645
#SPJ1
What time does this clock say?!
Answer:
1:10 is the clock time ⌚ 1:10
Please help a^3-5a^2+49
Answer:
Nothing further can be done with this topic. a^3-5a^2+49
Step-by-step explanation:
Honestly don't understand this
for shape (i) give the electron-domain geometry on which the molecular geometry is based.
In shape (i), there are two electron domains around the central atom. This means that the electron-domain geometry is linear. However, there are two bonding pairs and no lone pairs of electrons around the central atom, resulting in the molecular geometry also being linear.
The concept of electron-domain geometry and molecular geometry is essential in understanding the properties of molecules. The electron-domain geometry is determined by the number of electron domains (bonding or lone pairs) around the central atom in a molecule. On the other hand, the molecular geometry is determined by the arrangement of atoms in the molecule, taking into account the presence of lone pairs.
Knowing the electron-domain geometry and molecular geometry of a molecule is crucial in predicting its polarity and reactivity. For instance, polar molecules have an asymmetric distribution of electron density, while nonpolar molecules have a symmetric distribution. This difference in polarity affects the physical and chemical properties of a molecule, such as boiling point, melting point, and solubility.
In summary, in shape (i), both the electron-domain geometry and molecular geometry are linear, which means that the central atom has two bonding pairs and no lone pairs. Understanding the electron-domain and molecular geometry of molecules is essential in predicting their properties and behavior.
To know more about electron domains refer here:
https://brainly.com/question/30461548?#
SPJ11
Darien observed that the water level fell 3.1 millimeters per year over a period of 4.2 years. Tom observed that the water level fell 3.9 millimeters per year over a period of 2.9 years. Dakota observed that the water level fell 4.8 millimeters per year over a period of 2.8 years. Who observed the greatest variation in water levels? Who observed the least variation?
Answer:
The first one is Dakota and the secound one is Tom
Step-by-step explanation:
Answer:
1. Dakota 2.Tom
Step-by-step explanation:
If we have an effect, would error variance go away?
No, the presence of an effect does not necessarily imply that error variance will go away.
Why could not error variance go away?The presence of an effect does not necessarily imply that error variance will go away. In fact, error variance is an inherent part of any statistical model and represents the amount of variation in the response variable that is not explained by the predictor variables.
Even if a predictor variable has a significant effect on the response variable, there may still be some unexplained variation in the response that is attributable to error variance.
It is important to take into account and control for error variance in any statistical analysis, as it can affect the precision and accuracy of the estimates of the model parameters and can also influence the interpretation of the results.
One way to control for error variance is to use appropriate statistical methods, such as analysis of variance (ANOVA), regression analysis, or other modeling techniques that take into account the variability in the data.
Learn more about error variance
brainly.com/question/31592090
#SPJ11
What value(s) of x will make x2 = 9 true?
.............................................................................
A. 81 and -81
B. V3
C. 3 and -3
D. 3
Thank you to anyone who answers !! :-)
Answer:
C.) 3 and -3
Step-by-step explanation:
The question is asking: "Which numbers can be multiplied by themselves and equal 9?" You can formally find this answer by taking the square root of 9, the opposite of squaring a number. Or, in this case, you can try the guess-and-check method. Remember, multiplying two negative numbers together results in a positive answer.
A.) is incorrect because 81 x 81 = 6561 and -81 x -81 = 6561.
B.) I'm assuming this answer is \(\sqrt{3}\) (if it's not, there is still a better answer). This answer is incorrect because \(\sqrt{3}\) x \(\sqrt{3}\) = 3.
C.) is correct because 3 x 3 = 9 and -3 x -3 = 9.
D.) is incorrect because -3² also equals 9.
The volume of the prism is 90 cubic meters. Find the value of x.
x=
Answer: 5 meters
Step-by-step explanation:
volume of a rectangular prism: V=whl
90=6*h*3
h=90/(6*3)
h=90/18
h=5 meters
Arjun's piggy bank contains two kinds of coins and two kinds of bills.There are twice as many $1 bills as $5 bills. The number of quarters is 1more than three times the number of $5 bills. And the number of dimesis 7 less than the number of quarters. How many of each type of bill andcoin does Arjun have if the total is $39.90?
Arjun has 7 $1 bills, 3 $5 bills, 16 quarters, and 9 dimes in his piggy bank.
Let's represent the number of $5 bills as x. According to the given information, the number of $1 bills is twice the number of $5 bills, so it would be 2x. The number of quarters is 1 more than three times the number of $5 bills, which is 3x + 1. Lastly, the number of dimes is 7 less than the number of quarters, so it is 3x + 1 - 7, which simplifies to 3x - 6.
To find the total amount, we can calculate the value of each type of bill and coin. The value of $5 bills is 5x, the value of $1 bills is 1(2x) = 2x, the value of quarters is 0.25(3x + 1) = 0.75x + 0.25, and the value of dimes is 0.1(3x - 6) = 0.3x - 0.6.
Since the total amount is $39.90, we can set up the equation: 5x + 2x + 0.75x + 0.25 + 0.3x - 0.6 = 39.90. Solving this equation gives us x = 3.
Substituting x = 3 back into the expressions, we find that Arjun has 7 $1 bills, 3 $5 bills, 16 quarters, and 9 dimes in his piggy bank.
Learn more about expressions here: brainly.com/question/11865504
#SPJ11
can you help solve the problem
Answer: D
Explained: you find the solutions to x and the y axis to graph
How many 1/10's are in 3?
There are 30 of 1/10's in the number 3
How many 1/10's are in 3?From the question, we have the following parameters that can be used in our computation:
How many 1/10's are in 3?
The above statement is a quotient expression that has the following features
Dividend = 3
Divisor = 1/10
So, we have
Quotient = Dividend /Divisor
Substitute the known values in the above equation, so, we have the following representation
Quotient = 3/(1/10)
Evaluate
Quotient = 30
Hence, there are 30 1/10's
Read more about fractions at
https://brainly.com/question/17220365
#SPJ1
Jessica purchased a dvd that was on sale for 12% off. the sales tax in her county is 3%. let y represent the original price of the dvd. write an expression that can be used to determine the final cost of the dvd. how do i solve a problem like this ? khan academy
Jessica purchased a DVD that was on sale for 12% off.
The sales tax in her county is 3%.
Let, y represent the original price of the DVD.
We can simply solve this mathematical problem by using the following mathematical process.
Here, we will form an algebraic expression, according to the given data.
So,
The original price of the DVD = y
Discount on the original price :
y * 12/100
=3y/25
Price after discount :
y - 3y/25
=25y - 3y/25
=22y/25
Sales tax amount :
22y/25 * 3/100
11y/25 * 3/50
=33y/1250
Final price including the sales tax :
22y/25 + 33y/1250
1100y + 33y/1250
1133y/1250
(This will be considered as the final result.)
Learn more about sales tax here:https://brainly.com/question/9437038
#SPJ4
does multiplication come before division in pemdas?
No, you are supposed to do them at the same time. You need to go in whatever order they are in from left to right.
Duane decided to purchase a $31,000 MSRP vehicle at a 5. 5% interest rate for
5 years. The dealership offered him a $4500 cash-back incentive, which he
accepted. Taking all these factors into consideration, what monthly payment
amount can he expect?
O
A. $506. 18
O B. $592. 14
O C. $517. 39
O D. $442. 28
SUBMT
Duane can expect to make a monthly payment amount of $506.18 over the 5-year term of his loan, including both the principal and the interest.
The monthly payment amount for Duane's MSRP vehicle purchase can be calculated using the following formula: ((MSRP - cash-back incentive) x interest rate) / (term in years x 12). In this case, the calculation is ((31,000 - 4,500) x 0.055) ÷ (5 x 12) = 506.18. Thus, Duane can expect to make a monthly payment of $506.18 over the 5-year term of his loan. This amount includes both the principal and the interest accrued on the loan. It is important to note that the monthly payment may change slightly due to the addition of taxes, registration fees, and other charges that may be included in the loan. Additionally, the amount of the monthly payment may vary slightly depending on the lender's terms and conditions.
Learn more about amount here
https://brainly.com/question/28970975
#SPJ4
The difference of any two even numbers is
Answer:
A positive number
I hope this helps!
Answer:
The difference between any two even number is even.
Step-by-step explanation:
2-4 is -2
-2 is an even number
now let's say 190-20 that is 170
and 170 is even
Which is one of the transformations applied to the graph of f(x) = x2 to change it into the graph of g(x) = –3x2 – 36x – 60?
The graph of f(x) = x2 is made narrower.
The graph of f(x) = x2 is shifted right 6 units.
The graph of f(x) = x2 is shifted down 48 units.
The graph of f(x) = x2 is reflected over the y-axis.
Answer:
I think it is D.
Step-by-step explanation:
Answer: A
Step-by-step explanation:
You are shopping for single-use cameras to hand out at a party. The daylight cameras cost $2.75 and the flash cameras cost$4.25. You must buy exactly 20 cameras and you want to spend between $65 and$75, inclusive. Write and solve a compound inequality for this situation. Then list all the solutions that involve whole numbers of cameras.
The compound inequality for the given situation is $2.75x + $4.25y ≥ $65 and $2.75x + $4.25y ≤ $75, where x represents the number of daylight cameras and y represents the number of flash cameras.
To solve this compound inequality, we need to find the values of x and y that satisfy both conditions. The inequality $2.75x + $4.25y ≥ $65 represents the lower bound, ensuring that the total cost of the cameras is at least $65. The inequality $2.75x + $4.25y ≤ $75 represents the upper bound, making sure that the total cost does not exceed $75.
To list the solutions involving whole numbers of cameras, we need to consider integer values for x and y. We can start by finding the values of x and y that satisfy the lower bound inequality and then check if they also satisfy the upper bound inequality. By trying different combinations, we can determine the possible solutions that meet these criteria.
After solving the compound inequality, we find that the solutions involving whole numbers of cameras are as follows:
(x, y) = (10, 10), (11, 8), (12, 6), (13, 4), (14, 2), (15, 0), (16, 0), (17, 0), (18, 0), (19, 0), (20, 0).
These solutions represent the combinations of daylight and flash cameras that fulfill the requirements of buying exactly 20 cameras and spending between $65 and $75.
Learn more about compound inequality
brainly.com/question/17957246
#SPJ11
For − 11 ≤ x ≤ 11 the function f is defined by f(x) = x³ (x + 2)^8 On which two intervals is the function increasing (enter intervals in ascending order)?
x = _______ to x = _______
and x = _______ to x = _______
Find the interval on which the function is positive: x = _______ to x = _________
Where does the function achieve its minimum? x = Answer the following questions for the function f(x)=x√x² + 16 defined on the interval – 4 ≤ x ≤ 4. f(x) is concave down on the interval x = _____ to x = _____
f(x) is concave up on the interval x = _____ to x = ____
The inflection point for this function is at x = The minimum for this function occurs at x = The maximum for this function occurs at x =
1. The function f(x) = x³(x + 2)⁸ is increasing on the intervals x = -2/9 to x = +∞ and positive on the interval x = 0 to x = +∞.
2. The function achieves its minimum at x = -4, where the minimum value is -16,384.
3. For the function f(x) = x√(x² + 16) on the interval -4 ≤ x ≤ 4, it is concave up for all x and there is no inflection point.
4. The minimum for the function f(x) = x√(x² + 16) occurs at x = -4, where the minimum value is -16, and the maximum occurs at x = 4, where the maximum value is 16√2.
What is the interval in which the function is increasing or decreasing?To determine where the function f(x) = x³(x + 2)⁸ is increasing, we need to find the intervals where its derivative is positive.
First, let's find the derivative of f(x):
f'(x) = d/dx [x³(x + 2)⁸]
= 3x²(x + 2)⁸ + x³(8)(x + 2)⁷(1)
= 3x²(x + 2)⁷[(x + 2) + 8x]
= 3x²(x + 2)⁷(9x + 2)
To find where f(x) is increasing, we need to find the intervals where f'(x) > 0.
1. Set f'(x) > 0:
3x²(x + 2)⁷(9x + 2) > 0
To determine the intervals, we can examine the sign changes in each factor. First, note that the factor 3x² is always positive, so it doesn't affect the sign of the expression.
For (x + 2)⁷, it will be positive for all x values since it is raised to an odd power.
For (9x + 2), we can find where it changes sign by solving the inequality:
9x + 2 > 0
9x > -2
x > -2/9
So, we have the following intervals:
1. x < -2/9
2. x > -2/9
Now, we need to determine the sign of f'(x) within each interval to find where f(x) is increasing.
1. For x < -2/9:
In this interval, (x + 2)⁷ is positive, and (9x + 2) is negative. Therefore, f'(x) is negative.
2. For x > -2/9:
In this interval, both (x + 2)⁷ and (9x + 2) are positive. Therefore, f'(x) is positive.
Therefore, the function f(x) = x³(x + 2)⁸ is increasing on the interval x = -2/9 to x = +∞.
To find where the function is positive, we need to analyze the sign of f(x) itself. Since the function involves multiplying terms, the sign of f(x) will depend on the signs of each term.
Let's consider the three factors: x, x³, and (x + 2)⁸.
1. For x < 0:
x is negativex³ is negative (since it involves multiplying three negative factors)(x + 2)⁸ is positive (since an even power doesn't affect the sign)Therefore, f(x) is negative for x < 0.
2. For x = 0:
- f(x) = 0³(0 + 2)⁸ = 0
3. For x > 0:
x is positivex³ is positive (since it involves multiplying three positive factors)(x + 2)^8 is positive (since an even power doesn't affect the sign)Therefore, f(x) is positive for x > 0.
Hence, the function is positive on the interval x = 0 to x = +∞.
To find where the function achieves its minimum, we need to check the critical points and the endpoints of the given interval.
For f(x) = x³(x + 2)⁸, we have one critical point when f'(x) = 0.
Setting f'(x) = 0:
3x²(x + 2)⁷
(9x + 2) = 0
This equation has two solutions: x = 0 and x = -2/9.
Now, let's check the endpoints:
For x = -4:
f(-4) = (-4)³((-4) + 2)^8 = (-4)³(-2)⁸ = 64(-256) = -16,384
For x = 4:
f(4) = (4)³((4) + 2)⁸ = (4)³(6)^8 = 64(46,656) = 2,979,584
Comparing the values:
f(-4) = -16,384
f(0) = 0
f(-2/9) ≈ -0.019
f(4) = 2,979,584
The minimum value occurs at x = -4, where f(x) = -16,384.
Now, let's consider the function f(x) = x√(x² + 16) defined on the interval -4 ≤ x ≤ 4.
To determine the intervals of concavity, we need to find the second derivative, f''(x), and analyze its sign.
First, let's find the second derivative:
f(x) = x√(x² + 16)
f'(x) = √(x² + 16) + x * (1/2)(x² + 16)^(-1/2) * 2x
= √(x² + 16) + x² / √(x² + 16)
= (x² + 2(x² + 16)) / √(x² + 16)
= (3x² + 32) / √(x² + 16)
f''(x) = [(3x² + 32) * (√(x² + 16))] - [(x² + 2(x² + 16)) * (1/2)(x² + 16)^(-1/2) * 2x)] / (x² + 16)
= [(3x² + 32) * (√(x² + 16))] - [x * (x² + 2(x² + 16))] / (x² + 16)
= [(3x² + 32) * (√(x² + 16))] - [(3x⁴ + 32x) / (x² + 16)]
To determine the intervals where f(x) is concave up and concave down, we need to find where f''(x) > 0 and where f''(x) < 0.
Let's analyze f''(x):
f''(x) = [(3x² + 32) * (√(x² + 16))] - [(3x⁴ + 32x) / (x² + 16)]
Since both the numerator and the denominator are positive for all x, the fraction is positive for all x
Thus, f''(x) > 0 for all x, meaning f(x) is concave up for all x in the interval -4 ≤ x ≤ 4.
There is no interval of concavity change, as f''(x) is always positive.
The inflection point for this function occurs where f''(x) changes sign, but since f''(x) is always positive, there is no inflection point within the interval -4 ≤ x ≤ 4.
The minimum and maximum for this function occur at the endpoints of the interval.
The minimum occurs at x = -4, where f(x) = (-4)√((-4)² + 16) = -4√(16) = -4 * 4 = -16.
The maximum occurs at x = 4, where f(x) = 4√(4² + 16) = 4√(16 + 16) = 4√(32) = 4 * 4√2 = 16√2.
Therefore, the minimum for the function f(x) = x√(x² + 16) occurs at x = -4, and the maximum occurs at x = 4.
Learn more on interval of a function here;
https://brainly.com/question/1503051
#SPJ4
Question
According to Dolbear’s law, you can predict the temperature T
(in degrees Fahrenheit) by counting the number x
of chirps made by a snowy tree cricket in 1 minute. For each rise in temperature of 0.25°F, the cricket makes an additional chirp each minute.
a. A cricket chirps 40 times in 1 minute when the temperature is 50°F. Write an equation in slope-intercept form that represents the temperature in terms of the number of chirps in 1 minute.
equation: T=
I need the answer to this fast
Answer: T = 0.25x + 50, where x represents the number of chirps in 1 minute.
Step-by-step explanation:
NEED ASAP! (picture included) A surveyor wants to find the width of the pond. She placed stakes at points A, B, and C. She knows that ΔABC is a right triangle. If the distance between A and C is 75 feet and the distance between B and C is 63 feet, what is the width of the pond between points A and B? A. 12.2 feet B. 40.7 feet C. 54.5 feet D. 97.9 feet
Answer:
97.9
Step-by-step explanation:
Pythagorean Theorem: 75^2+63^2=AB^2
5625+3969=AB^2
9594=AB^2
AB=97.9
true or false: the sample statistic usually differs from the population parameter because of bias. false true
The statement "The sample statistic usually differs from the population parameter because of bias" is false because the differences is due to random sampling variability.
The sample statistic usually differs from the population parameter due to random sampling variability, and not necessarily because of bias. However, bias can also contribute to differences between the sample statistic and population parameter.
Bias refers to a systematic deviation of the sample statistic from the population parameter in one direction. Bias occurs when the sample selection process favors some characteristics of the population and excludes others.
On the other hand, sampling variability is a natural variation that occurs when taking different samples from the same population.
Learn more about sample statistic here: https://brainly.com/question/29449198
#SPJ11
please answer and explain asap
Answer:
5.2=x
5=y
4x+y=25.8
Step-by-step explanation:
180-94=86
86=15x+8
78=15x
5.2=x
180-94=86
86=17y+1
85=17y
5=y
4x+y=
4(5.2)+5=25.8
a) Work out the value of 19 + 7 divided by 2-5
Answer: -8.66666666667
Step-by-step explanation: Do it step by step. So 19+7= 26
Then 2-5= 3
So 26 divided by -3 = -8.66666666667
Find g(4x)
g(x)=x²-4
The answer is
4^2 ^2
Answer:
X^2-4
Step-by-step explanation:
hope this helps
Consider the curve defined by 2y 3
+6x 2
y−12x 2
+6y=1. (a) Show that dy/dx=4x−2xy/x 2
+y 2
+1 (b) Write an equation of each horizontal tangent line to the curve. (c) The line through the origin with slope −1 is tangent to the curve at point P. Find the x - and y-coordinates of point P.
(a) To show that dy/dx = 4x - 2xy / (x^2 + y^2 + 1), we need to differentiate the given equation with respect to x.
Starting with the equation: 2y^3 + 6x^2y - 12x^2 + 6y = 1
Differentiating both sides with respect to x:
d/dx(2y^3 + 6x^2y - 12x^2 + 6y) = d/dx(1)
Using the chain rule and product rule, we get:
6y^2 * dy/dx + 12xy + 12x * dy/dx + 6dy/dx = 0
Rearranging the terms:
dy/dx * (6y^2 + 12x) + 12xy + 6 = 0
Factoring out dy/dx:
dy/dx = -(12xy + 6) / (6y^2 + 12x)
Simplifying further:
dy/dx = 4x - 2xy / (x^2 + y^2 + 1)
(b) To find the horizontal tangent lines, we set dy/dx = 0 and solve for x:
4x - 2xy / (x^2 + y^2 + 1) = 0
Simplifying, we get:
4x - 2xy = 0
Factoring out x:
x(4 - 2y) = 0
From this, we can see that the horizontal tangent lines occur when x = 0 or y = 2.
(c) Given that the line through the origin with slope -1 is tangent to the curve at point P, we substitute the values into the equation:
x = 0:
2y^3 + 6(0)^2y - 12(0)^2 + 6y = 1
2y^3 + 6y = 1
2y^3 + 6y - 1 = 0
Solving this equation will give us the y-coordinate of point P. The corresponding x-coordinate is 0 since the line passes through the origin.
Learn more about Equation of tangent here -: brainly.com/question/7437866
#SPJ11
what is 825 divided by 15?
Graph the set.
Is it convex. Why or why not?
{(x,y): xy≥1; x>0; y>0}
The set {(x, y): xy ≥ 1; x > 0; y > 0} is not convex because there exist line segments connecting two points within the set that extend outside the set.
To determine if the set is convex, we need to check if any two points within the set form a line segment that lies entirely within the set.
Consider two points A = (x1, y1) and B = (x2, y2) in the set, where xy ≥ 1, x > 0, and y > 0.
Let's assume A and B are distinct. Now, consider the midpoint M = ((x1 + x2)/2, (y1 + y2)/2) of the line segment AB.
To determine if M lies in the set, we need to check if (x1 + x2)/2 * (y1 + y2)/2 ≥ 1, x1 + x2 > 0, and y1 + y2 > 0.
However, it is possible to find points A and B in the set such that their midpoint M does not satisfy the above conditions. For example, if A = (1, 1) and B = (3, 1/3), the midpoint M = (2, 2/3) does not satisfy (x1 + x2)/2 * (y1 + y2)/2 ≥ 1.
Therefore, the set is not convex because there exist line segments connecting two points within the set that extend outside the set.
Learn more about convex here:
https://brainly.com/question/30340321
#SPJ11
I just need like a step by step I haven't understood what my teacher has taught me here