Answer:
B. 6
Step-by-step explanation:
The volume is proportional to the height. The ratio of the heights of the taller to shorter pyramids is 6 : 1. Since the pyramids have the same base ares, this is also the ratio of volumes.
The volume ratio is 6.
Simplify4x2 + 12x - 162x + 106x + 24x2 + 9x + 20(2 points).O X-13(x+4)O (x-1)(x+4)3O 3(x-1)X+4O3(x - 1)(x+4)
Given equation:
\(\frac{\frac{4x^2+12x-16}{2x+10}}{\frac{6x+24}{x^2+9x+20}}\)let us now simplify,
\(\begin{gathered} \frac{\frac{4x^2+12x-16}{2x+10}}{\frac{6x+24}{x^2+9x+20}} \\ =\frac{(4x^2+12x-16)(x^2+9x+20)}{(2x+10)(6x+24)} \\ =\frac{4(x^2+3x-4)(x^2+9x+20)}{12(x+5)(x+4)} \\ =\frac{\mleft(x^2+3x-4\mright)(x^2+9x+20)_{}}{3(x+5)(x+4)} \\ =\frac{(x+4)^2(x-1)(x+5)}{3(x+5)(x+4)} \\ =\frac{(x+4)(x-1)}{3} \end{gathered}\)the answer is option 2.
Find the distance to the nearest hundredth between the points A (1,-4) and B (5,3)
Answer:
8.06
Step-by-step explanation:
find the slope by
\(d=\sqrt{(5-1)^{2} + (3 - (-4))^{2} } \\\\ d= \sqrt{65} \\d= 8.062258\)
Find the slope of the line on the graph.
The center of a circle is at (10, -4) and its radius is 11.
What is the equation of the circle?
(x-10)² + (y + 4)² = 11
O (x-10)² + (y + 4)² = 121
(x + 10)² + (y - 4)² = 11
O (x + 10)² + (y - 4)² = 121
Answer:
(x - 10)² + (y + 4)² = 121
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
here (h, k ) = (10, - 4 ) and r = 11 , then
(x - 10)² + (y - (- 4) )² = 11² , that is
(x - 10)² + (y + 4)² = 121
miguel is renting a party bus for the prom. he can rent from luxury rentals for 100$ initial fee and then $2 a mile or from slick rentals for an initial fee of $20 and 10$ per mile. after how many miles will the cost be the same ?
16. Find the values of x and y.
(2y + 5)
(5r - 17)
(3r - 11)
2. en un taller fueron reparados durante un mes 120 vehículos entre automóviles y motos. el número de ruedas de los vehículosreparados fue de 336 exactamente. ¿cuántas motos se repararon?
36 motorcycles were repaired during the month.
To solve this problem, we can use the formula for the total number of wheels of a vehicle, which is equal to the number of vehicles multiplied by the number of wheels per vehicle. In this case, the number of wheels per vehicle is 4 since both autos and motorcycles have 4 wheels each. This formula can be expressed as: Wheels = Vehicles × Wheels per Vehicle.
We can substitute the given values of the total number of wheels (336) and the number of wheels per vehicle (4) into the formula, and solve for the number of vehicles (V): Wheels = Vehicles × Wheels per Vehicle → 336 = Vehicles × 4 → Vehicles = 336 ÷ 4 → Vehicles = 84.
Since we know that both autos and motorcycles were repaired, and the total number of vehicles was 84, we can use the information that 120 vehicles were repaired to solve for the number of motorcycles (M) that were repaired.
If the total number of vehicles was 84, and 120 vehicles were repaired, then the number of motorcycles that were repaired must be equal to the difference between the total number of vehicles and the total number of autos, which is 120 - 84 = 36.
Therefore, 36 motorcycles were repaired during the month.
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\(\frac{1}{3} x = 18\)
\(\\ \sf\longmapsto \dfrac{1}{3}x=18\)
\(\\ \sf\longmapsto \dfrac{x}{3}=18\)
Use cross multiplication\(\\ \sf\longmapsto x=3(18)\)
\(\\ \sf\longmapsto x=54\)
CAN SOMEONE HELP I DONT UNDERSTAND (CRYS)
Answer:
1) \(m\)∠JKL = 145°
2) \(m\)∠IHG = 164°
3) \(m\)∠NME = 50°
4) \(m\)∠TUV = 178°
I hope this helps! (✿◠‿◠)
A researcher found that for the years 2013 to 2019, the equation,
y=-0.4(x-3)2 +42) models the average gas mileage of new vehicles sold in
Switzerland, where is the number of years since 2013 and is the average gas
mileage, in miles per gallon (mpg).
During what year was the average gas mileage for new vehicles sold in Switzerland
the greatest?
Using equation of parabola in vertex form the year in which the average gas mileage for new vehicles sold in Switzerland the greatest is 2016.
What is the equation of a parabola in vertex form?The equation of a parabola with vertex (h, k) is given by
y = a(x - h)² + k
Now a researcher found that for the years 2013 to 2019, the equation, y = -0.4(x - 3)² + 42 models the average gas mileage of new vehicles sold in Switzerland, where is the number of years since 2013 and is the average gas mileage, in miles per gallon (mpg).
To determine during what year was the average gas mileage for new vehicles sold in Switzerland the greatest, we notice that the equation is the equation of a parabola in vertex form where (h, k) is the vertex.
Comparing y = a(x - h)² + k with y = -0.4(x - 3)² + 42 we have that
a = -0.4, h = 3 and k = 42
So, the vertex is at (h, k) = (3, 42)
Since a = -0.4 < 0, (3,42) is a maximum point
So, y is maximum when x = 3
Since this is 3 years after 2013 which is 2013 + 3 = 2016.
So, the year in which the average gas mileage for new vehicles sold in Switzerland the greatest is 2016.
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round the number 125.3546 to 1 decimal place
Answer: 125.4
llllljkjkjkjkkjkjkjkjkjkkjkjjkjkjkjkjkjkjjkjkjkjkjkkjkjkjjkjkjjkjkjkjkjkjkjkjkjkjkjkjkjkjjkjkjkjkjkjkjkjkjkjkkjjkkjkjkjkjkkjkjkjkjkjkjjkjkkjkjkjkjkjkjkjkjkjkjkjkkjkjkjkjkjkjkjkjkj
What is the graph for -7y > -77
Answer:
y=11
Step-by-step explanation:
Please give brainliest
True or False: The domin of the quotient function (f/g)(x) consists of all numbers that belong to both the domain of fand the domain of g. Justify your answer.
The domain of the quotient function (f/g)(x) consists of all numbers that belong to both the domain of f and the domain of g which is false.
What is a function?A statement, opinion, or rule that forms a linking of two variables is characterized as a function. Mathematics has functions, which are necessary for the design of meaningful relationships.
What is a domain?The range refers to all potential values of y, and the domain refers to all conceivable values of x.
The denominator of the rational function shouldn't be 0. The function is not defined if the denominator is 0.
Thus, the given statement is false.
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what is the greatest common factor for 9m+ 27m²
Answer:
9m
Step-by-step explanation:
Both of them are divisible by 9 and 1 m
When you factor and pull out 9m, you will get
9m (1 + 3m)
A cube with side length is stacked on another cube with side length . What is the total volume of the cubes in factored form
The total volume of the cubes in factored form is (4p + 2q^2)(16p^2 - 8pq^2 + 4q^4)
What is the volume of a figure?The volume of a figure or a three dimensional shape is the amount of space inside the figure or the three dimensional shape
How to determine the total volume?The two cubes are stacked upon one another, so they form a composite figure.
The side lengths of the cubes are given as
Cube 1 = 4p
Cube 2 = 2q^2
The volume of each cube is calculated as:
Volume = Side length^3
So, the total volume is
Total = (4p)^3 + (2q^2)^3
Evaluate the exponents
Total = 64p^3 + 8q^6
Using the sum of cubes, we have the factored form to be
Total = (4p + 2q^2)(16p^2 - 8pq^2 + 4q^4)
Hence, the total volume of the cubes in factored form is (4p + 2q^2)(16p^2 - 8pq^2 + 4q^4)
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Complete question
A cube with side length 4p is stacked on another cube with side length 2q^2. What is the total volume of the cubes in factored form?
Find the unit rate. 400 cupcakes in 8 hours
Answer:
50 per hour
Step-by-step explanation:
A pizza chain records how long it takes customers to receive their delivery orders. Suppose the distribution of these delivery times is strongly skewed to the left with a mean of
30
3030 minutes and a standard deviation of
10
1010 minutes. Management plans on calculating the mean delivery time from a random sample of
25
2525 orders. We can assume independence between orders in the sample.
What is the probability that the mean delivery time from the sample of
25
2525 orders
x
ˉ
x
ˉ
x, with, \bar, on top is farther than
2
22 minutes from the population mean?
Answer:
Step-by-step explanation:
m
If you multiply my number by -4 and subtract 20, the result is 8. What’s my number?
Answer:
It's -7
Step-by-step explanation:
-7 • -4=28 (multiplying 2 negatives gives you a positive)
28 - 20 =8
find the error (-8x^2y^2)^2= -64x^4y^4
Answer:
\((-8)^2\neq-64\)
Step-by-step explanation:
Using the distributive property to expand, we have
\((-8x^2y^2)^2=(-8)^2(x^2)^2(y^2)^2.\)
Squaring each term, we have
\((-8x^2y^2)^2=64x^4y^4.\)
The mistake was that \(8^2=64,\) not \(-64.\) Using the fact that \(8^2=64,\) the right answer would be
\(\boxed{64x^4y^4}\).
Answer:
64 shouldnt be negative anymore
Step-by-step explanation:
(-8x^2y^2)^2 = -64x^4y^4
when exapnding the left side it would be...
(-8x^2y^2)^2
Apply exponent rule (-a)^n = a^n
→ (8x^2y^2)^2
→ (8^2)(x^2)^2
→ (8^2) = 64
→ 64(x^2)^2 = 64x^4
Hope this helps. Let me know if you have any questions !
Have a nice rest of you day :)
when two or more independent variables in the same regression model can predict each other better than the dependent variable, the condition is referred to as .
High intercorrelations between two or more independent variables in a multiple regression model are referred to as multicollinearity.
A single dependent variable and several independent variables can be analyzed using the statistical technique known as multiple regression. With the use of independent variables whose values are known, multiple regression analysis aims to predict the value of a single dependent variable.
Multicollinearity, also known as collinearity, is a phenomena in statistics when one predictor variable in a multiple regression model can be linearly predicted from the others with a high level of accuracy. In this case, minor adjustments to the model or the data may cause the multiple regression's coefficient estimates to fluctuate unpredictably.
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Implementing a new system into an organization module by module is called a ____________.
A.
pilot study
B.
phased approach
C.
module strategy
D.
parallel strategy
E.
direct cutover strategy
Implementing a new system into an organization module by module is called a phased approach.
A phased approach is one of two common methods used to develop an ERP system solution. In this strategy, the system's functionalities are introduced in a certain order, gradually replacing previous systems and processes.
This frequently indicates that a business starts off with core functionality that is given top attention, and then other applications are gradually added in stages over time. An alternative implementation strategy, however, uses an all-at-once model in which the system and all apps "Go Live" simultaneously.
The optimal implementation plan for your firm will depend on the needs, goals, and strategies you have for it. This might involve a hybrid strategy where crucial functionality is added to the core ERP programs first, and then desirable features are added later on in a staged implementation. By considering all of your options, your firm can decide which will serve its interests the most effectively.
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Neil is painting two squares on his bedroom wall. The length of one side of the first square is 12 inches. The second square will be 3 times the size of the first square. What is the area of the second square?
Answer:
36in
Step-by-step explanation:
12 · 3 = 36
Outcome
10
1
2
3
Probability
0.25
0.25
0.25
10.25
Which is the expected value of the random variable with the given probability distribution?
0
C.
b. 1
d. 2.
a.
1.5
Please select the best answer from the choices provided
B
Ο Ο Ο Ο
Kō
Answer: sorry the answer is not clear.
Step-by-step explanation:
The box plots show the weights, in pounds, of the dogs in two different animal shelters.One-half of the dogs in each shelter are between which weights?
One-half of the dogs in each shelter are between the weights represented by the first and third quartiles, which are approximately 20-55 pounds for the first shelter and 25-65 pounds for the second shelter, respectively.
A box plot is a visual representation of a set of data that shows the median, quartiles, and outliers of the data. The box represents the middle 50% of the data, with the bottom and top edges of the box representing the first and third quartiles, respectively. The line inside the box represents the median, or the middle value of the data set. The "whiskers" extend from the edges of the box to the minimum and maximum values of the data set, but outliers beyond the whiskers are represented as individual points.
Now, let's look at the two box plots showing the weights of dogs in two different animal shelters. One-half of the dogs in each shelter are between the first and third quartiles, which are represented by the edges of the box in each plot.
If we take the first box plot, we can see that the first quartile is approximately 20 pounds and the third quartile is approximately 55 pounds. Therefore, one-half of the dogs in this shelter weigh between 20 and 55 pounds.
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Find the difference between points M(6, 16) and Z(-1, 14) to the nearest tenth.
The distance between points M(6, 16) and Z(-1, 14) is approximately 7.1 units.
We can use the distance formula to find the distance between two points in a coordinate plane. The distance formula is:
d = √((x2 - x1)² + (y2 - y1)²)
where (x1, y1) and (x2, y2) are the coordinates of the two points. Substituting the coordinates of M(6, 16) and Z(-1, 14), we get:
d = √((-1 - 6)² + (14 - 16)²) = √(49 + 4) = √53 ≈ 7.1
Therefore, the distance between points M(6, 16) and Z(-1, 14) is approximately 7.1 units.
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You randomly select one card from a 52-card deck. Find the probability of selecting the 2 of hearts or the 4 of clubs.
The probability of selecting the 2 of hearts or the 4 of clubs from a 52-card deck is 51/2652.
The probability of selecting the 2 of hearts is 1/52 since there is only one 2 of hearts in the deck, and the probability of selecting the 4 of clubs is also 1/52 since there is only one 4 of clubs in the deck.
To calculate the probability of selecting either card, we add the probabilities: 1/52 + 1/52 = 2/52.
However, since we have counted the probability of selecting both cards (2 of hearts and 4 of clubs) twice, we need to subtract the probability of selecting both cards, which is 1/52 x 1/51 (probability of selecting the 2 of hearts and then the 4 of clubs without replacement).
Therefore, the final probability is (2/52) - (1/52 x 1/51) = 1/26 - 1/2652 = 51/2652.
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What is the slope of the following line
what is the probability that the first white ball drawn in powerball will not be an 18? round your answer to 3 decimal places.
The probability that the first white ball drawn in powerball will not be an 18 is 0.985.
Concept used:
Probability of an event = number of favorable outcomes / total number of outcomes.
We have 69 balls, out of which 1 is an 18. Thus, there are 68 balls that are not 18.
Therefore, the probability of the first white ball drawn in powerball will not be an 18 is given by,
P(event)= number of favorable outcomes / total number of outcomes= 68/69 = 0.985 (approx)
Thus, the required probability that the first white ball drawn in powerball will not be an 18 is 0.985, rounded to three decimal places.
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Find the equation of the given table in slope intercept form. The answer must be in y=mx+b format! Please show work asap!!
Answer: y = 6.75x + 6
Step-by-step explanation:
Answer:
y=6.75x+6
Step-by-step explanation:
y=mx+b
we can find it by doing \(\frac{y^{2}-y^{1} }{x^{2} -x^{1} }\)
I'm going to choose 2,19.5 and 5,39.75
\(\frac{39.75-19.5}{5-2}\) we get \(\frac{20.25}{3}\) simplified to 6.75
now we know that the slope is 6.75 we can find the y-intercept by plugging in one pair, I'm going to put the 2,19.5 in
19.5=(6.75)2+b then multiply 6.75 by 2
19.5=13.5+b then subtract 13.5 from both sides to remove the 13.5 on B to separate it
6=b so the y-intercept is 6
3. (10 points) Assume that X and Y are normal goods. Suppose that your utility function is U= X52Y53 and that the marginal utility from good X is MX=52X53Y53 and that the marginal utility from good Y is MUY=53X2Y52.
a. (5 points) If the price of X is $6, the price of Y is $6, and your income is $60, find the optimal amount of each good to purchase.
The consumer's problem is to maximize utility subject to the budget constraint: P_XX + P_YY = I .We need to solve the following Lagrangian equation to find the optimal consumption bundle:
L = U(X,Y) + λ[I - P_XX - P_YY]∂L/∂X = (5/2)X^(3/2)Y^(5/3) - λP_X = 0... (1)∂L/∂Y = (5/3)X^(5/2)Y^(2/3) - λP_Y = 0... (2)∂L/∂λ = I - P_XX - P_YY = 0... (3)
From (1) and (2), we have:
λP_X/(5/2)X^(3/2)Y^(5/3) = Y^(1/3)/X^(3/2) .............(4)λP_Y/(5/3)X^(5/2)Y^(2/3) = X^(1/2)/Y^(2/3) ...............
(5)Divide (4) by (5):
[λP_X/(5/2)X^(3/2)Y^(5/3)]/[λP_Y/(5/3)X^(5/2)Y^(2/3)] = (Y^(1/3)/X^(3/2))/(X^(1/2)/Y^(2/3))5Y/X = 3Y
Solving for Y, we get: Y = 3X/5.
Putting this in the budget constraint, we have:
P_XX + P_Y(3X/5) = I6X + 3X = 60X = 60/9 = 20/3
Substituting X = 20/3 in Y = 3X/5, we get:
Y = 3(20/3)/5 = 4Thus, the optimal bundle of consumption is:
X = 20/3 and Y = 4
Therefore, the optimal amounts of goods X and Y to purchase are 20/3 and 4, respectively.
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