Answer:
y^6
Step-by-step explanation:
\( \frac{y}{1} \times \frac{{y}^{5} }{1} \)
=
\( {y}^{6} \)
Use the graph to interpret and match the appropriate intervals with their descriptions. Drag the tiles to the correct boxes. Not all tiles will be used. (-6.3,10) (4.9,10)(-9,0)(-3,10)(0,4.9)(-9,-3)
the order of titles according to the correct description boxes is (0, 4.9), (-3,10), (-9, -3) and then (4.9, 10) respectively.
We first look at the graph, and then, we analyze it, completing the tiles.
From the graph, the function is increasing in two intervals (-10,-9) and (4.9,10). The function is increasing over two interval, (-10, -9) and (4.9,10) , so the corresponding tile is (4.9, 10) for increasing in two intervals.
Between -9 and 4.9 the function is decreasing, so the corresponding tile is (0, 4.9).
An interval where the function is above the x-axis, so between -9 and -3, and then above 10, so the corresponding tile is (-9,-3) for interval over which the difference is positive.
Interval over which the difference is negative is when an interval where the function is below the x-axis, so before -10, and then between -3 and 10. Thus the corresponding tile is (-3,10).
Therefore, we can conclude the following relations
interval in which difference of the number of sales is decreasing→ (0, 4.9)
interval over which difference of the number of sales is negative→ (-3,10)
interval over which difference of the number of sales is positive→ (-9, -3)
interval in which difference of the number of sales is increasing→ (4.9, 10)
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The points (6,r) and (9, 9) lie on a line with slope 5. Find the missing coordinate r.
Answer:
r = -6
Step-by-step explanation:
Use the slope formula and solve for r.
slope = y2 -y1
x2 -x1
Since you know all the numbers except for r, plug everything in and you get:
5 = 9 - r
9 - 6
So then do the arithmetic, you find that 9 - r = 15. So r must = -6.
in the market for a bag of socks, what happens if the price of cotton falls?
A decrease in the price of cotton can have positive effects on the affordability and availability of socks in the market, benefiting consumers by potentially offering lower prices and a wider range of choices.
If the price of cotton falls in the market for a bag of socks, it is likely to have an impact on the overall cost and availability of socks. Cotton is a common material used in the production of socks, and its price plays a significant role in determining the cost of manufacturing.
When the price of cotton falls, it reduces the cost of raw materials for sock manufacturers. As a result, manufacturers may experience lower production costs. This can lead to several outcomes:
1. Decrease in sock prices: With lower production costs, manufacturers have the option to reduce the prices of socks to attract customers. This can result in more affordable socks for consumers, making them more accessible.
2. Increase in sock supply: Lower production costs may incentivize manufacturers to increase their sock production. As a result, the supply of socks in the market could rise, leading to a greater availability of socks for consumers.
3. Potential for improved quality or additional features: Manufacturers may choose to invest the cost savings from lower cotton prices into enhancing the quality of socks or adding extra features. This can result in socks with improved durability, comfort, or design, providing more options for consumers.
It's important to note that the impact of falling cotton prices on sock prices and availability may also depend on other factors, such as production and distribution costs, market competition, and consumer demand. Additionally, the extent to which the price reduction in cotton translates into lower sock prices may vary among different brands and retailers.
Overall, a decrease in the price of cotton can have positive effects on the affordability and availability of socks in the market, benefiting consumers by potentially offering lower prices and a wider range of choices.
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In a group of 25 boys , 8 are in the Science League team and 13 in the math League team and 6 in both the teams. How many are not in any team?
In 2010, the population of a city was 237,000. From 2010 to 2015, the population grew by 7.6%. From 2015 to 2020, it fell by 4.7%. To the nearest whole number, by what percent did the city grow from 2010 to 2020?
The population of the city grew from 2010 to 2020 by 13.37%.
What is percentage?A percentage is a number that tells us how much out of 100 and can also be written as a decimal or a fraction.
We have to given that;
In 2010, the population of a city was 237,000.
And, From 2010 to 2015, the population grew by 7.6%. From 2015 to 2020, it fell by 4.7%.
We know that;
Where, A = P (1+r)ⁿ
A = final population.
P = Initial population.
r = rate
n = time
Hence, The population in 2015 is, =
A = 237,000(1 + 0.076)⁵
A = 341829.629
And, The population in 2020 =
A = P (1 - r)ⁿ
A = 341829.629 (1 - 0.047)⁵
A = 268704.047
So, Percent grow = (268704.047 - 237,000) / 237,000 × 100
= 31704.047 / 237,000 × 100
= 13.37 %
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What is the solution to this equation?
x- 13 = -4
O A. x= 9
O B. x = 17
O c. x= -17
O D. x= -9
When one power is exponentiated by
an exponent, what is done with the
exponents?
Translation of a PointWhat is the image point of (5,-5) after a translation right 2 units and up 3 units?Submit Answer
ANSWER
(7, -2)
EXPLANATION
We want to know the image point after a translation.
A translation is basically a shift in the position of the object.
The object point is (5, -5) and it translates 2 units right and 3 units up.
That means there is a shift +2 units on the x axis and +3 units on the y axis.
Therefore, the image point is:
(5 + 2, -5 + 3)
= (7, -2)
That is the image point.
Denise has $250 in her checking account. Each time she buys a bottle of water, she spends $2. If Denise buys
x bottles of water, how much money will remain in her account?(1 نقطة)
After buying x bottles of water, the money will remain in her checking account is equals to the $(250 - 2x). So, the correct answer is option (b).
We have Denise has a checking account.
The amount on her checking account = $250
The price of each water bottle = $2
Number of boltes bought by Denise = x
Let the total remaining money after the spend by Denise on water bottles be " $y". Total cost of x bottles = number of bottles × cost of one bottle
= x× $2 = $ 2x
We have to determine the value of y. The money remaining in her account = total amount in her checking account - spends money
=> y = $ 250 - $2x
which is a two variable linear equation, when we know that how many bottles she buy, i.e., value of x then we will determine the value of y. So, the required value is $ 250 - $2x .
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Complete question:
Denise has $250 in her checking account. Each time she buys a bottle of water, she spends $2. If Denise buys
x bottles of water, how much money will remain in her account?
a) $ 250 + $2x
b) $ 250 - $2x
c) $250
an amusement park ride consists of a large vertical wheel of radius r that rotates
The best description of the passenger's linear and angular velocity while passing point A is option d) Linear Velocity Constant, Angular Velocity Constant.
When the passenger is at point A, which is the highest point of the ride, the seat exerts a normal force with a magnitude of 0.8F, where F represents the person's weight. This normal force provides the necessary centripetal force to keep the person moving in a circular path. At this point, the passenger's linear velocity remains constant, as there is no change in speed.
Since the passenger releases a small rock without hitting anything, there are no external torques acting on the system. Therefore, according to the law of conservation of angular momentum, the passenger's angular velocity remains constant as well. The angular velocity is determined by the rotational motion of the wheel and does not change as the passenger passes point A.
Therefore, the passenger's linear velocity is constant, and their angular velocity is also constant while passing point A, resulting in the most accurate description being d) Linear Velocity Constant, Angular Velocity Constant.
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80 divided by 192.0!!!!!!!!!!!!!!!
Answer: .416666667
Step-by-step explanation: Take 80 and divide it by 192.0= .416666667
The integral S/2 sin? (x) cos® (x) dx is equivalent to which of the following integrals? (A) SÓ (1 – 22)uº du (B) Só u? (1 – u?) du (C) Só –22 (1 – 2°) du (D) Si' -u? V1 – u? du (E) Sou du
The integral S/2 sinθ(x) cos²(x) dx is equivalent to the integral (E) Sou du.
To determine the equivalent integral of S/2 sinθ(x) cos²(x) dx, we can use the trigonometric identity:
cos²(x) = (1 + cos(2x))/2
Substituting this into the integral, we have:
S/2 sinθ(x) cos²(x) dx = S/2 sinθ(x) (1 + cos(2x))/2 dx
Now, we can distribute the sinθ(x) term:
= S/4 [sinθ(x) + sinθ(x) cos(2x)] dx
Using the trigonometric identity sinθ(x) cos(2x) = (1/2)sin(2x)sinθ(x), we get:
= S/4 [sinθ(x) + (1/2)sin(2x)sinθ(x)] dx
Factoring out sinθ(x), we have:
= S/4 sinθ(x) [1 + (1/2)sin(2x)] dx
Now, comparing this with the given options, we can see that the equivalent integral is:
(E) S u du
Therefore, the integral S/2 sinθ(x) cos²(x) dx is equivalent to the integral (E) Sou du.
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determine which of the following (if any) regarding multicollinearity are true. i. we can calculate the amount of collinearity by using the vif. ii. if some predictor variables in the model are highly correlated with each other, this will generally have no impact on the model. iii. when an f test is significant, but none of the t tests are significant, we can rule out multicollinearity as the cause.
The first statement is true, while the second and third statements are false. Multicollinearity can impact the model and can lead to misleading results, even if some predictor variables are highly correlated with each other. Additionally, the significance of F-test alone cannot rule out the possibility of multicollinearity.
i. The first statement is true. The Variance Inflation Factor (VIF) can be used to measure the amount of collinearity in the model. VIF is a measure of the amount of correlation between a predictor variable and the other predictor variables in the model. Higher VIF values indicate higher levels of collinearity. Typically, a VIF value greater than 10 indicates a problematic level of collinearity.
ii. The second statement is false. If some predictor variables in the model are highly correlated with each other, it can lead to multicollinearity, which can impact the model's results. Multicollinearity can make it difficult to interpret the individual effect of each predictor variable on the outcome variable, and it can also increase the standard errors of the regression coefficients. This can result in reduced statistical power, decreased predictive accuracy, and misleading results.
iii. The third statement is also false. A significant F-test indicates that at least one of the predictor variables in the model is related to the outcome variable, but it does not rule out the possibility of multicollinearity. If none of the t-tests are significant, it could be due to a lack of statistical power or the presence of multicollinearity, which can make it difficult to detect the individual effects of each predictor variable.
To test for multicollinearity, one can examine the VIF values or use other diagnostic tests, such as the condition number or tolerance values. If multicollinearity is detected, one can consider removing one of the highly correlated predictor variables or using techniques like regularization to address it.
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6x + 7 = 3x - 8
What is it?
Answer:
x = 5
Step-by-step explanation:
6x - 3x = 3
7 + 8 = 15
15/3 = 5
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Have a good day :)
The coordinates of point A are 400 units of X and 40 units of Y. The coordinates of point B are 480 units of X and 60 units of Y. With X on the horizontal axis and Y on the vertical axis, the slope of the line between points A and B is
Answer:
The slope of the line between points A and B is 0.25
Step-by-step explanation:
Here in this question, we simply aim at calculating the slope of the line between two given points;
The points in question are;
A(400,40) and B(480,60)
Mathematically, the slope of the line can be calculated using the formula:
slope = (y2-y1)/(x2-x1)
Where ;
x1 = 400
y1 = 40
x2 = 480
y2 = 60
Substituting the values, we have;
slope = (60-40)/(480-400) = 20/80 = 1/4 = 0.25
he hierarchical database model is based on a ____. lack of child segment lack of a parent segment tree structure matrix
The hierarchical database model is based on a tree structure, where data is organized in a parent-child relationship. Each parent segment can have multiple child segments, but each child segment has only one parent.
In this model, data access is typically navigated from the top-level parent segment to its child segments in a hierarchical manner. The parent-child relationships provide a clear structure for organizing and representing data. However, it also means that a lack of a parent segment or a child segment is not allowed in this model.
Compared to a matrix structure, where segments can have relationships with multiple other segments, the hierarchical model is more rigid in its one-to-many relationship between parent and child segments.
However, it may pose challenges when dealing with complex or interrelated data that doesn't fit neatly into a hierarchical structure.
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50 POINTS! HELP ASAP
Answer:
\(800 {(1 + \frac{.09}{12}) }^{12t} = 1600\)
\( {1.0075}^{12t} = 2\)
\(t = 7.7 \: years\)
The money will double in approximately 7.7 years.
Find the sale price of a $15 item after a 20% discount.
Answer:
12
Step-by-step explanation:
find 20% of 15 and then take that away from the 15
A^n =16 + (N - 1) (-0.5), 15th term
Find the indicated term of the arithmetic sequence.
Answer:
9
Step-by-step explanation:
we just replace n with 15
A(n) =16 + (N - 1) (-0.5)
=16 + (15 - 1) (-0.5)
=16-7.5+0.5
=9
hope it helps
There are 650 toothpicks in a regular-sized box. If a jumbo box is made by tripling all the dimensions of the regular-sized box, how many toothpicks will the jumbo box hold?
Answer: 1950 is how many it will hold.
Step-by-step explanation:
Arthur has x pennies. His father gave him 6 dimes, and his mother gave him 4 nickels. Which expression represents the number of coins Arthur has now?
a) x+80
b) x+10
c) 6x+4
d) 4x+6
The expression x + 80 represents the number of coins Arthur has now, since he x pennies and an additional 6 dimes and 4 nickels.
How to calculate for the number of coinsWe shall convert the pennies, dimes and nickels into same unit before adding to get the expression for the number of coins Arthur will have in total.
A penny = 1 cent, so
x pennies = x cents
A dime = 10 cents so;
6 dimes = 6 × 10cents
6 dimes = 60 cents
A nickel = 5 cents so;
4 nickels = 4 × 5 cents
4 nickels = 20 cents
Arthur's coins in total = (x + 60 + 40) cents
Arthur's coins in total = (x + 80) cents.
Therefore, the expression expression x + 80 represents the number of coins Arthur will have in total, wether in pennies, dimes or nickels.
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what are the solutions to 7a -5 less than or greater than 65 or -3a- >-2
The solution set of the inequality is a ≤ 10
How to determine the solution setFrom the question, we have the following parameters that can be used in our computation:
7a -5 less than or greater than 65 or -3a- >-2
This gives
7a -5 ≥ 65 or -3a- >-2
So, we have
7a ≥ 70 or -3a- >-2
Divide by the coefficient of a
a ≤ 10 or a < 2/3
a ≤ 10 is a super set of a ≤ 10
So, we have
a ≤ 10
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Graph the inequality -n_<-5
Answer:
See below
Step-by-step explanation:
This is just the same as n≤5, which would look like the attached number line.
Pls help I don’t get it
Answer:
Answer 3 (y=55x+20)
Step-by-step explanation:
The question says 55 each, meaning we don't know how much so u put x after 55. 20 is the additional cost that you pay only once.
Passes through (-4, -5), slope = 3/4
Answer:
Step-by-step explanation:
y+5 = ¾(x+4)
What is a disadvantage of electron microscopes compared to light microscopes?
They do not have a very high power of resolution.
They cannot be used to view live specimens.
They can only be used by doctors.
They can only see surface details.
A major disadvantage of electron microscopes compared to light microscopes is that they cannot be used to view live specimens. Therefore, option B is the correct answer.
A major disadvantage of electron microscopes compared to light microscopes is that they cannot be used to view live specimens. This is because the electron microscope requires a vacuum environment to function properly, which would kill any live specimen. Additionally, electron microscopes can only see surface details and do not have a very high power of resolution. Lastly, electron microscopes can only be used by doctors or trained technicians, so they are not as widely available as light microscopes.
Therefore, option B is the correct answer.
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A disadvantage of electron microscopes compared to light microscopes is that they cannot be used to view live specimens (option b). Electron microscopes use a beam of electrons to create an image, which requires a vacuum environment. This means that living organisms cannot survive in the vacuum and therefore cannot be observed with electron microscopes.
I hope this helped! :)
The center is O. The circumference is 28. 6 centimeters. Use 3. 14 as an approximation for pi
The diameter of the given circle with a circumference of 28.6 centimeters is approximately 9.11 cm.
The circumference of a circle is given by the simple formula: C = πd, where C is the circumference, π is the constant pi and d is the diameter of the circle.
Given that the circumference of the circle is 28.6 cm, we can use the formula to find the diameter:
28.6 = πd
d = 28.6/π
Using 3.14 as an approximation for π, we get:
d ≈ 28.6/3.14 ≈ 9.11
Therefore, the diameter of the circle is approximately 9.11 cm.
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HELP
17) A circle has a radius of 8 centimeters. If the area of a sector is 256pi/3 cm^2, what is the measure of the angle of the sector, in radians?
A) 16pi/3
B) 32pi/3
C) 4pi/3
D) 8pi/3
Step-by-step explanation:
remember, in radians means we use the arc lengths of the norm circle (radius 1) as angle size.
that means 360° = 2pi
the area of a full circle is
pi×r²
in our case
pi×8² = 64pi
for a segment only a part of 360° or 2pi is used.
so for the area of a sector we have
pi×r² × xpi/2pi
in our case
64pi × xpi/2pi = 256pi/3
32pi × xpi/pi = 256pi/3
32pi × x = 256pi/3
32x = 256/3
x = 8/3
so, the term we need in our sector area calculation is
8pi/3 :
64pi × (8pi/3)/2pi = 256pi/3
so, D is correct.
I need help with number 5
Given g(x)=-2x+5 find g(2)
Answer:
g(2) = 1
Step-by-step explanation:
Substitute x = 2 into g(x) , that is
g(2) = - 2(2) + 5 = - 4 + 5 = 1