Answer:
c. 9 cm
Step-by-step explanation:
4*1.5=6
6*1.5=9
y=9
Which of the following is most likely the next step in the series?
Answer:
C, because each time, the number of purple dots, or vertices increases by one..
2, 3, 4, ?..
the next would be five, which is C.
Step-by-step explanation:
Answer:
here
Step-by-step explanation:
each shape has one more vertici (the purple dots) than the previous one, so then the pattern would be 2, 3, 4, .....? so the next one would be 5 which is C
If two coplanar lines are cut by _________ so that a pair of alternate interior angles are _,_____ then the two lines are parallel.
If two coplanar lines are cut by a transversal so that a pair of alternate interior angles are equal then the two lines are parallel.
The four sets of opposing angles that each have their own vertex point, are on different sides of the transversal and are both either internal or exterior are called alternate angles.
In geometry, a transversal line is one that cuts across the plane in two places. It does so at two spots where two lines meet. Many right angles are produced when two transverse lines meet. There are four types of similar angles: matching, alternative interior, alternate exterior, and co-interior.
In geometry, two lines are considered parallel if and only if all pairs of alternative interior angles in any transversal are equal.
Learn more about the alternative interior angles -
https://brainly.com/question/20344743
Which of the following are assumptions underlying the simple linear regression model y = Bo B1x e? Check all that apply The variance of the error term e varies for differing values of x. The error term is a random variable with an expected value of zero. The error term is normally distributed. The error term E follows a chi-square distribution.
The error term is a random variable with an expected value of zero.2. The error term is normally distributed
The assumptions underlying the simple linear regression model `y = Bo + B1x + e` are: 1.
The variance of the error term e is constant across all values of x.Thus, the assumptions that are underlying the simple linear regression model `y = Bo + B1x + e` are the second and the third options, which are "The error term is normally distributed." and "The variance of the error term e is constant across all values of x." respectively.
Learn more about random variable
https://brainly.com/question/30789758
#SPJ11
You must decide whether to buy new machinery to produce product X or to modify existing machinery. You believe the probability of a prosperous economy next year is 0.7. Prepare a decision tree and use it to calculate the expected value of the buy new option. The payoff table is provided below (+ for profits and - for losses).
When entering the answer, do not use the $ symbol. Do not enter the thousand separator. Enter up to 2 decimal places after the decimal point. For example, $6,525.35 must be entered as 6525.35
N1: Prosperity ($) N2: Recession ($)
A1 (Buy New) $1,035,332 $-150,000
A2(Modify) $823,625 $293,648
The expected value of the "Buy New" option is 724732.60.
Decision Tree:
To solve the given problem, the first step is to create a decision tree. The decision tree for the given problem is shown below:
Expected Value Calculation: The expected value of the "Buy New" option can be calculated using the following formula:
Expected Value = (Prob. of Prosperity * Payoff for Prosperity) + (Prob. of Recession * Payoff for Recession)
Substituting the given values in the above formula, we get:
Expected Value for "Buy New" = (0.7 * 1,035,332) + (0.3 * -150,000)Expected Value for "Buy New" = 724,732.60
Therefore, the expected value of the "Buy New" option is 724,732.60.
Conclusion:
To conclude, the decision tree is an effective tool used in decision making, especially when the consequences of different decisions are unclear. It helps individuals understand the costs and benefits of different choices and decide the best possible action based on their preferences and probabilities.
The expected value of the "Buy New" option is 724,732.60.
For more questions on expected value
https://brainly.com/question/14723169
#SPJ8
A new cars salesperson, sold an average of $44,531 per day for the first 2 days she worked. The next 11 days she worked, she sold an average of $50,063. How much did she sell on average per day over the entire time she worked??
Given:
First 2 days the salesperson sold an average of $44531 cars.
For next 11 days she sold an average of $50063 cars.
To find the sell on average per day over the entire time,
The total cost is,
\(2(44531)+11(50063)=639755\)The total number of days she work is 2+11=13.
So, the average cost per day is,
\(a=\frac{639755}{13}=49211.92308\)Answer: the average cost per day over entire time salesperson worked is $49211.92
Henry can write 5 pages of his novel in 3 hours.
at
At this rate, how many pages can Henry write in 8 hours?
Answer:
Henry can write 13 pages in 8 hours.
Step-by-step explanation:
Rate: 5 pages in 3 hours (5/3 pages per hour)
To obtain the quantity of pages in 8 hours, we have to multiply the rate per hour by 8.
5/3 x 8 = 40/3= 13.34
Rounded to the nearest number, Henry can write 13 pages in 8 hours.
Answer:
10 and 2/3 a page
Step-by-step explanation:
a nurse is interested in the amount of time patients spend exercising per day. according to a recent study, the daily workout time per adult follows an approximately normal distribution with a mean of 94 minutes and a standard deviation of 27 minutes. if the nurse randomly samples patients in her office to analyze their exercise time and gets a standard error of 3 minutes, how many patients did she sample?
By using standard error, The nurse sampled approximately 100 patients to analyze their exercise time.
To determine the sample size, we can use the formula for the standard error of the mean:
standard error = standard deviation / √(sample size)Rearranging this formula to solve for the sample size, we get:
sample size = (standard deviation / standard error)²Plugging in the values given in the problem, we get:
sample size = (27 / 3)² = 81However, because the population size is large (i.e. infinite), we can use the rule of thumb that a sample size of at least 30 is sufficient for a normal distribution. Therefore, the nurse should sample at least 30 patients, but she likely sampled around 100 patients to obtain a standard error of 3 minutes with a normal distribution of exercise time.
Learn more about standard error
https://brainly.com/question/14467769
#SPJ4
PLEASE SOLVE THIS :(
Answer:
10.5 %
Skills needed: Financial Math Essentials
Step-by-step explanation:
1) First, before getting started, let's assume the price of the product is \(x\). This variable will be used a lot throughout the problem (\(x\)).
2) Marking a price above means increasing the price in order to make money off of the purchased product. When raising something by \(y\) percent, the new price would be \(x + \frac{y}{100}*x\).
---> In this case, the price increased by \(\textbf{30}\) percent.
This means that it would be: \(x+\frac{30}{100}x = x+0.3x=1.3x\)
New price is: \(1.3x\)
3) The shopkeeper is then offering a \(\textbf{15}\) percent discount off of this marked price. When offering a \(b\) percent discount price, the new price (with discount), expressed algebraically is: \(a-\frac{b}{100}a\)
---> the expression above simplifies to \((1-\frac{b}{100})a\)
In this case, \(a=1.3x\), \(b=15\)
---> \((1-\frac{15}{100})*1.3x = (1-0.15)*1.3x=0.85*1.3x=1.105x\)
This means that \(x\), with discount, has been raised \(\textbf{10.5 percent}\).
10.5 % is the profit percent
(The profit percent being the final marked up price - purchased price)
solve differential equation dy/dx=y^2 . 16y(2)=0
The particular solution corresponding to the initial condition 16y(2) = 0 (which I assume means y(2) = 0), we can plug x = 2 and y = 0 into the equation:
-1/0 = 2 + C
To solve the differential equation dy/dx=y^2, we can separate the variables and integrate both sides.
dy/y^2 = dx
Integrating both sides:
-1/y = x + C
where C is the constant of integration. Solving for y:
y = -1/(x+C)
To solve the second part of the question, 16y(2) = 0, we substitute y(2) into the equation we just found:
y(2) = -1/(2+C)
16y(2) = 16*(-1/(2+C)) = -16/(2+C) = 0
Solving for C:
-16 = 0*(2+C)
Thus, C can be any value since 0 multiplied by any number is 0. Therefore, the solution to the differential equation dy/dx=y^2 and the equation 16y(2)=0 is y = -1/(x+ C), where C is any constant.
Learn more about Equation:
brainly.com/question/29538993
#SPJ11
Can someone help me with this geometry question thanks will mark brainliest.
Find the exterior angle measure
Solve the following....
\(2(x-3)=2x+4\)
Answer:
No answer. The question is not correct. 2x-6 cannot be equal to 2x+4
Step-by-step explanation:
2(x-3) = 2x+4
2x-6 = 2x+4
This can't be true. 2x-6 cannot be equal to 2x+4:
Subtract 2x from both sides and we are left with -6 = 4: FALSE
Answer:
no solutionStep-by-step explanation:
Taking the LHS and distributing
2(x - 3)2(x) - 2(3)2x - 6Equating to the RHS
2x - 6 = 2x + 4On inputting any value for x, this equation will not be correct.
Hence, it has no solution.
ASAP, Please answer the question below.
Answer:
1/4
Step-by-step explanation:
Notice that
● GH = 2
● G'H' = 8
The scale factor is
● GH/G'H' = 2/8 = 1/4
Please help!
4(x + 5) = 6(2x - 1)
x = ??
Answer: 13/4
Step-by-step explanation:
\(4(x+5)=6(2x-1)\\\\4x+20=12x-6\\\\20=8x-6\\\\8x=26\\\\x=\frac{26}{8}\\\\x=\frac{13}{4}\)
Answer:
x = 13/4
Step-by-step explanation:
use distribution property:
4x+20 = 12x-6
8x = 26
x = 26/8
so , x = 13/4
please help!
Match the the numbers: (6:4), (6:11), (9:5), (6:8) with (Red:Yellow), (Total:Yellow), (Red:Total), (Yellow:Red) and the colored dots above, to make a full card of equivalent ratios.
Answer:
The answer is
((6,4), (Yellow:Red), the 1st graph)
((6:11), (Total Red), the 3rd graph)
((9:5), (Total Yellow), the 2nd graph)
((6:8), (Red:Yellow), the 4th graph)
Step-by-step explanation:
Hope this helps. :)
Pls mark me brainliest
What is the quotient startfraction 2 m superscript 9 baseline n superscript 4 baseline over negative 4 m superscript negative 3 baseline n superscript negative 2 baseline endfractionin simplest form? assume m not-equals 0, n not-equals 0.
The given expression's quotient is \(-\frac{m^{12}n^6}{2}\).
Exponential expressions are simply a shorthand way of writing powers. The exponent indicates how many times that base has been used as a factor to multiply. So, in the case of 32, it is 2x2x2x2x2x2 = \(2^5\), where 2 is the "base" and 5 is the "exponent." This expression is translated as "two to the fifth power." In general, an=axaxax...xa(n times), where 'a' is the base and 'n' is the exponent, will be read as "a to the nth power."
Given that the exponential expression is \(\frac{2m^9n^4}{-4m^{-3}n^{-2}}\)
The given expression's quotient is
\(=\frac{2m^9n^4}{-4m^{-3}n^{-2}}\\\\\frac{1}{a^x}=a^{-x}\\\\=\frac{m^9n^4m^{3}n^{2}}{-2}\\\\=\frac{m^{9+3}n^{4+2}}{-2}\\\\=\frac{m^{12}n^6}{-2}\\\\=-\frac{m^{12}n^6}{2}\)
As a result, the given expression's quotient is\(-\frac{m^{12}n^6}{2}\).
To learn more about exponents refer here
https://brainly.com/question/219134
#SPJ4
You can retry this question below Given the function P(x) = (x - 1)²(x - 5), find its y-intercept is (-5) 1 ✓and #₂ = 5 its x-intercepts are ₁ = When → [infinity], y → + When →[infinity]o, y → oo (Input or for the answer) oo (Input + or for the answer) Question Help: Message instructor Post to forum Submit Question Question 16 Given the function P(x)=³-1²- 56z, find its y-intercept is its z-intercepts are 1 = , 02- #₂3 When 0, y oo (Input or for the answer) When zx. [infinity]o oo Question Help: Message instructor D Post to forum Submit Question x Question 17 (Input or for the answer) with #1 < x2
Therefore, the z-intercept is (0, 0) and the x-intercepts are (√3, 0) and (-√3, 0).
Also, as z → ∞, y → - ∞. So, as z approaches infinity, the function approaches negative infinity.
The simple answer to find the y-intercept and x-intercepts of a function is explained below:
Given the function P(x) = (x - 1)²(x - 5), to find its y-intercept, substitute x = 0 as we need to find the point where the curve intersects the y-axis. So, P(0) = (0 - 1)²(0 - 5) = 5.
Therefore, the y-intercept is (0, 5).
To find the x-intercepts, substitute y = 0 as we need to find the point where the curve intersects the x-axis. So, we get 0 = (x - 1)²(x - 5) ⇒ x = 1, 5. Therefore, the x-intercepts are (1, 0) and (5, 0).Also, as x → ∞, y → + ∞ and as x → - ∞, y → + ∞. So, there are no horizontal asymptotes and the function P(x) does not approach any value when x approaches infinity or negative infinity.
Given the function P(x) = ³-1²- 56z, to find its y-intercept, substitute x = 0 as we need to find the point where the curve intersects the y-axis. So, P(0) = ³-0²- 56(0) = -1. Therefore, the y-intercept is (0, -1).
To find the z-intercepts, substitute y = 0 as we need to find the point where the curve intersects the z-axis. So, we get 0 = ³-x²- 56z ⇒ x = ±√3, z = 0.
Therefore, the z-intercept is (0, 0) and the x-intercepts are (√3, 0) and (-√3, 0).
Also, as z → ∞, y → - ∞. So, as z approaches infinity, the function approaches negative infinity.
learn more about intercepts here
https://brainly.com/question/24212383
#SPJ11
find the area of the surface generated when the given curve is revolved about the given axis. y=4x−4, for 7 4≤x≤ 15 4; about the y-axis (hint: integrate with respect to y.)
The inductance of the toroid is (299.8*\(600^{2}\)*π)/2 = 7.04 x \(10^{-3}\) H.
What is area?Area is a quantity that measures the size of a two-dimensional surface or shape. It is expressed in square units such as square centimeters, square meters or square kilometers. Area is used to describe the size of a garden, a house, a room, a city and much more. It can also be used to calculate the amount of material required for a project, such as paint, carpet or tiles. Knowing the area of a shape can help to calculate costs, and to make sure that enough materials are ordered.
The inductance of a toroid coil can be calculated using the following formula: L = (μN^2*A)/l, where μ is the permeability of the core material, N is the number of turns of the coil, A is the cross-sectional area of the toroid, and l is the length of the coil. In the case of a toroid with large radius b, the cross-sectional area A is approximately equal to π\(b^{2}\) and the length of the coil is l=2πb. Therefore, the inductance of the toroid is L=(μN^2*π\(b^{2}\))/(2πb)= (μN^2*π)/2.
(b) For the given toroid with 600 turns, iron core (μ=299.8), a=8.0 cm and c=9.0 cm, the inductance can be calculated as follows:
L = (299.8*\(600^{2}\)*π)/2 = 7.04 x \(10^{-3}\) H.
To know more about area click-
brainly.com/question/28012687
#SPJ1
Sally has 3:4 as many beads as Kelly. Kelly has 18 more beads than Sally. Find the average number of beads the girl have
The average number of beads that the girls have is 63
Let's start by using algebra to represent the given information:
Let b be the number of beads that Sally has.
Then, Kelly has 3/4 times as many beads as Sally, which can be expressed as (3/4)b.
Also, we know that Kelly has 18 more beads than Sally, which can be expressed as (b + 18).
Putting these together, we can write the equation:
(3/4)b = b + 18
Solving for b, we get:
b = 72
So, Sally has 72 beads, and Kelly has (3/4) × 72 = 54 beads.
The average number of beads that the girls have is (72 + 54)/2 = 63 beads
Learn more about average here
brainly.com/question/16956746
#SPJ4
sorry XD here is the photo
Answer:
13 8x+6
14 11x+20
15 4x+20
16 11x+8y
17 5x+3y+18
figure the rest out yourself
Harper is knitting a scarf for her cousin's birthday. She plans to knit every night, making the scarf 5 centimeters longer each night. Write an equation that shows the relationship between the number of nights Harper spends knitting, x, and the length of the scarf in centimeters, y.
The equation that shows the relationship between x and y is:
y = 5x
A linear equation is in the form:
y = mx + b
where m is the rate of change and b is the initial value of y, y, x are variables.
Let x represent the number of nights knitting and y represent the length of the scarf.
The equation that shows the relationship between x and y is:
y = 5x
Find out more at: https://brainly.com/question/13911928
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.
To learn more about Angular Velocity from the given link
https://brainly.com/question/15154527
#SPJ4
Which of the six trigonometric functions has a period of \(2\pi\) and passes through the point \((\pi, 0)\)?
Answer:
i need points rq thanks so much
Step-by-step explanation:
imma go waste these points now
Answer:
x
Step-by-step explanation:
You received a gift in the mail. The length of the box is 12
inches, the width is 8
inches and the height is 10 inches. What is the total surface
area of the box in cubic inches?
ASAP please
Answer:
12x8x10=960
Step-by-step explanation:
At a paper mill, paper is placed into reams, or stacks of 500 sheets. A robot separates big stacks of sheets into reams. How many reams can the robot make with 9,500 sheets of paper? Pls respond quickly
Answer:
19
Step-by-step explanation:
9,500 divided by 500 is 19
What is an equation of the line that passes through the points (5, 5) and (5, -8)
Answer:
Write the problem as a mathematical expression. (5,5), (5,−8)
Use y=mx+b to calculate the equation of the line, where m represents the slope and b represents the y-intercept. To calculate the equation of the line, use the y=mx+b format.
Slope is equal to the change in y over the change in x , or rise over run.
m=(change in y)/(change in x)
The change in x is equal to the difference in x-coordinates (also called run), and the change in y
is equal to the difference in y-coordinates (also called rise).
m=(y2−y1) / (x2−x1)
Substitute in the values of x and y
into the equation to find the slope.
m=(−8−(5)) / (5−(5))
Finding the slope m.
Undefined
x=5
Step-by-step explanation:
Answer:
m = undefined
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: \(\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\)Step-by-step explanation:
Step 1: Define
Point (5, 5)
Point (5, -8)
Step 2: Identify
(5, 5) → x₁ = 5, y₁ = 5
(5, -8) → x₂ = 5, y₂ = -8
Step 3: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: \(\displaystyle m=\frac{-8-5}{5-5}\)[Slope] Subtract: \(\displaystyle m=\frac{-13}{0}\)Here we see that we have a number divided by 0. Since we know that we cannot divide any number by 0, our slope will be undefined. This will be a vertical line on a Cartesian plane of x = 5.
Find the sum of the series.
[infinity] (−1)nπ2n
n=0
62n(2n)!
As per the Maclaurin series, the value of the function is written as 2.8521
The term Maclaurin series is defined as a function that has expansion series that gives the sum of derivatives of that function.
Here we have given that the function is \(\sum\frac{(-1)^n\pi^{2n}}{4^{2n}(2n)!}\)
And we need to find the sum of series by using the Maclaurin series as
Now, the sum of series is calculated as,
=>f(n) = \(\sum\frac{(-1)^n\pi^{2n}}{4^{2n}(2n)!}\)
When we put the value on n = 0, then we get,
=> f(0) = [1 x 3.14]/1] = 3.14
Now, we have to put the value of the function, the value of x as 1,
Then we get,
=> f(1) = [-1 x 9.8596] / [16 x 2]
=> f(1) = -0.308
And then we have to put the value of function for the value of x as 2,
Then we get,
=> f(2) = [1 x 30.959] / [64 x 24]
=> f(2) = 0.0201
Then the sum of the series is
=> 3.14 - 0.308 + 0.0201
=> 2.8521
To know more about function here.
https://brainly.com/question/28193995
#SPJ4
Together, teammates Pedro and Ricky got 2674 base hits last season. Pedro had 284 more hits than Ricky. How many hits did each player have?
Max has three pieces of oak trim that are 7 inches, 11 inches, and 18 inches long. He wants to use them to make a triangular base for a candleholder. Will the pieces make a triangle? Explain your answer.
Answer:
NoStep-by-step explanation:
Use triangle inequality theorem, which states
"The sum of the lengths of any two sides of a triangle is greater than the length of the third side."
The sum of two sides compared to the remaining side:
7 + 11 = 18 = 18 - not ok7 + 18 = 25 > 11 - ok11 + 18 = 29 > 7 - okThe sum of two sides is equal to the third side. This makes it impossible to make a triangle. Therefore the answer is no.
MasterChef Junior come with of the diagonals to find the area??
Mia, this is the solution to the exercise:
Let's recall the formula of the area of a rhombus:
• Area = (Diagonal 1 * Diagonal 2)/2
Now, let's also recall the formula of the area of a kite:
• Area = (Diagonal 1 * Diagonal 2)/2
Thus, the correct answers are:
• B. Kite
,• D. Rhombus
Point m is on line segment \overline{ln} ln . given mn=3x,mn=3x, ln=4x+9,ln=4x+9, and lm=2x+7,lm=2x+7, determine the numerical length of \overline{lm}. lm .
Considering the equations for the length of each segment, the numerical length of line ln is of 17 units.
What is the length of line segment ln?Line segment ln is divided by the point m, hence the length of the line can be written according to the following equation:
ln = lm + mn.
The measures are given as follows:
ln = 4x + 9.lm = 2x + 7.mn = 3x.Hence, using the equation we can solve for x, as follows:
ln = lm + mn.
4x + 9 = 2x + 7 + 3x
5x + 7 = 4x + 9
x = 2.
Hence the numerical length of line ln is given by:
ln = 4x + 9 = 4(2) + 9 = 8 + 9 = 17 units.
More can be learned about the length of a line at https://brainly.com/question/24778489
#SPJ1