x=1 2 3 4 5. y=5 7 9 11 13 what's the rule
x = 1 2 3 4 5
Rule:
x = (n+1)
Where n is the number
y = 5 7 9 11 13
Rule:
y = (n+2)
Where n is the number
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Find the angle between the given vectors round your answer to the nearest tenth of a degree
U= (4, -6) V= (-6, -4)
We can use the dot product formula to find the angle between two vectors:
cos(theta) = (U dot V) / (|U| * |V|)
where U dot V is the dot product of U and V, and |U| and |V| are the magnitudes of U and V, respectively.
First, let's calculate U dot V:
U dot V = (4 * -6) + (-6 * -4) = -24 - (-24) = 0
Next, let's calculate the magnitudes of U and V:
|U| = sqrt(4^2 + (-6)^2) = sqrt(52)
|V| = sqrt((-6)^2 + (-4)^2) = sqrt(52)
Now we can substitute these values into the formula for cos(theta):
cos(theta) = 0 / (sqrt(52) * sqrt(52)) = 0
Since cos(theta) = 0, this means that the angle between U and V is 90 degrees or π/2 radians.
There are 1920 fence posts used in a 12 kilometer stretch of fence. How many fence posts are used in each kilometer of fence?
Answer:
160 fence posts per kilometer
Step-by-step explanation:
1920/12= 160
Find the value of k if the graph of y=kx passes through the given point.
A(4,-80)
K=?
The value of k from the equation is k = -20
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
y = kx be equation (1)
Let the first point be P ( 4 , -80 )
Substituting the values in the equation , we get
-80 = 4k
Divide by 4 on both sides of the equation , we get
k = - ( 80/4 )
On simplifying the equation , we get
k = -20
Hence , the equation is k = -20
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in linear regression, the fitted value is the: a. predicted value of the dependent variable b. predicted value of the independent value c. predicted value of the slope d. predicted value of the intercept e. none of these options
predicted value of the slope , A regression model called simple linear regression uses a straight line to calculate the association between one independent variable and one dependent variable.
What is linear regression?
When modeling the relationship between a scalar answer and one or more explanatory variables in statistics, linear regression is a linear method. Simple linear regression is used when there is only one explanatory variable, and multiple linear regression is used when there are numerous variables.
A regression model called simple linear regression uses a straight line to calculate the association between one independent variable and one dependent variable. Both variables ought to have numerical values.
When the parameters are linear, a regression equation (or function) is said to be linear in statistics. Although the predictor variables can be transformed in ways that result in curvature, the equation must be linear in the parameters.
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in linear regression, the fitted value is the: predicted value of the dependent variable
When you enter the values of the predictors, factor levels, and other inputs into a statistical model, the predicted mean response value is known as the fitted value.
What is the predicted variable called?The independent variable, commonly referred to as the predictor variable, is used to forecast dependent variables. In data science and the scientific method, predictor variables are used rather frequently.Regression models that fit data well produce predicted values that closely match the values of the actual data. If there were no useful predictor variables, the mean model, which utilizes the mean for every predicted value, would typically be employed.Researchers can anticipate or explain variation in one variable based on another variable using regression. Defined terms: The response variable is the one that scientists are attempting to predict or explain. Because it is reliant on another variable, it is also sometimes referred to as the dependent variable.To learn more about predicted variable refer to:
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evaluate the integral using integration by parts as a first step. ∫sin^−1(x)/4x^2 dx(Express numbers in exact form. Use symbolic notation and fractions where needed. Use C for the arbitrary constant. Absorb into C as much as possible.)
∫sin^−1(x)/4x^2 dx = -(sin^−1(x)/4x) + (1/4) arcsin(x) + C.
et u = sin^−1(x)/4 and dv = 1/x^2 dx. Then, du/dx = 1/(4√(1-x^2)) and v = -1/x.
Using integration by parts formula, we have:
∫sin^−1(x)/4x^2 dx = uv - ∫v du/dx dx
= -(sin^−1(x)/4x) + ∫1/(4x√(1-x^2)) dx
= -(sin^−1(x)/4x) + (1/4)∫(1-x^2)^(-1/2) d(1-x^2)
= -(sin^−1(x)/4x) + (1/4) arcsin(x) + C
Therefore, ∫sin^−1(x)/4x^2 dx = -(sin^−1(x)/4x) + (1/4) arcsin(x) + C.
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mariela took out a mortgage and purchased a house located in the v zone of an nfip participating community. what does that mean for mariela?
Mariela's purchase of a house located in the V Zone of an NFIP participating community means that the house is located in a high amount of risk flood zone and that she is required to purchase flood insurance if she has a mortgage. This insurance will help to protect her investment in the event of a flood.
Mariela must purchase flood insurance if she has a mortgage on her house, which is located in a high amount of risk flood zone in an NFIP participating community. This insurance will help to protect her investment in the event of a flood.
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Tri-County G\$T selis 150,000 MWh per yeat of electrical power to Boulder at $80 per MWh, has fixed costs of $80.1 milion per yoar, and has varistele costs of $20 por MWh. If Tri-County has 1,000,000MW h of demand from its customers (other than Boulder), what will Tri-County have to charge to break even? Tri-County wit have to charge? to break oven. (Enter your response rounded to the nearest penny.)
Tri-County will have to charge approximately $83.1 per MWh to break even.
To calculate the break-even price that Tri-County will have to charge to cover its costs, we need to consider both the fixed costs and the variable costs. The fixed costs are given as $80.1 million per year.
The variable costs are calculated by multiplying the quantity of electrical power sold (150,000 MWh per year to Boulder) by the variable cost per MWh ($20). Therefore, the variable costs amount to 150,000 MWh/year * $20/MWh = $3 million per year.
To cover both fixed and variable costs, Tri-County needs to charge a total amount that equals the sum of these costs. The total cost is $80.1 million + $3 million = $83.1 million per year.
Now, let's calculate the break-even price per MWh. Since Tri-County has a demand of 1,000,000 MWh from its customers (other than Boulder), we can divide the total cost by this quantity to find the break-even price.
Break-even price = Total cost / Quantity of electrical power demanded
Break-even price = $83.1 million / 1,000,000 MWh = $83.1/MWh
Therefore, Tri-County will have to charge approximately $83.1 per MWh to break even.
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A business owner purchases supplies for a laundromat and a car wash.
Part A
The owner purchases 6 cases of laundry soap, 8 cases of fabric softener, and 3 cases of bleach for the laundromat. Each case of laundry soap costs $68.45, each case of fabric softener costs $39.71, and each case of bleach costs $52.25.
Which is the best estimate of the total cost, in dollars, of the laundry items?
A. 750.00
B. 830.00
C. 890.00
D. 920.00
Part B
The owner purchases 5 buckets, 10 brushes, 48 towels, and 1 case of air fresheners for the car wash. The total cost of the purchases is $144.08. Each bucket costs $2.89, each brush costs $7.91, and each towel costs $0.36.
What is the cost, in dollars, of the case of air fresheners?
Enter your answer in the box.
Answer:
part a: is c
part b: $33.25
Step-by-step explanation:
PART A: I did 6x68.45=410.70
8x39.71=317.68
3x52.25=156.75
410.7+317.68+156.75=885.13
so the closest thing to it is c
PART B: i did
5x2.89=14.45
10x9.91=79.10
48x0.36=17.28
14.45+79.10+17.28=110.83
144.08-110.83=33.25
so the case of air fresheners was $33.25
rewrite each sum in the form a(b+c) using the distributive property and the gcf 6+22
6 + 2 2 = 2 ( 3 + 11 )
60 + 25 = 5 ( 12 + 5 )
Name an angle that is supplementary to ABC
convert 4 years to months
Answer:
48 months
Step-by-step explanation:
12 times 4 48
Answer:
48 months
There's 12 months in 1 year.
So we would multiply 12 months by 4 years to get 48 months
how to find the slope of a line
Answer:
m = (y - y)/(x - x)
Step-by-step explanation:
true or false? the rule of thumb for estimating the time of completion is 1.5 times what you originally think it will be.
Given statement: The rule of thumb for estimating the time of completion is 1.5 times what you originally think it will be.
Given statement is True.
The reason for this rule of thumb is that tasks often take longer than initially estimated due to unforeseen challenges, dependencies, and other factors that can cause delays.
By estimating the time of completion as 1.5 times the original estimate, you are accounting for these potential delays and allowing for a more realistic timeline.
This rule of thumb is not a hard and fast rule, and there will be cases where tasks take less or more time than 1.5 times the original estimate. However, it can be a helpful guideline for project planning and resource allocation, as it helps to ensure that sufficient time and resources are allocated to complete tasks within a realistic timeframe.
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a. A tank holds 1000 liters of water, in which 15 kg of salt is dissolved. Pure water enters the tank at the rate of 10 liters per minute. The solution is kept thoroughly mixed and is drained from the tank at the same rate. If m is the mass of salt in the tank at time t, which of the following options describes the rate of change of the mass of salt in the tank? Odm/dt = 15-(m/100) Odm/dt = (15-m)/1000 O dm/dt = -m/100 Odm/dt = - 15/100
The rate of change of the mass of salt in the tank is described by the option Odm/dt = 15-(m/100). The following is a detailed solution to the problem:
a. A tank holds 1000 liters of water, in which 15 kg of salt is dissolved.
Pure water enters the tank at the rate of 10 liters per minute.
The solution is kept thoroughly mixed and is drained from the tank at the same rate. If m is the mass of salt in the tank at time t, then we have to determine the rate of change of the mass of salt in the tank.
The concentration of salt initially in the tank = 15 kg/ 1000 L = 0.015 kg/L.
Concentration of salt at any time t = m/(1000+10t) kg/L (since we are adding pure water at a rate of 10L per minute).
Let the rate of change of the mass of salt be given by Odm/dt.
Now we apply the mass balance equation to salt to find the rate of change of mass of salt in the tank.
From mass balance: Rate of accumulation = Rate of input - Rate of output
Rate of accumulation of salt in the tank = d(m)/dt
Rate of input of salt = 0
Rate of output of salt = (Concentration of salt in the tank) x Rate of output= (m/(1000+10t)) x 10
We now have:
Odm/dt = 0 - [(m/(1000+10t)) x 10]= - (m/ (100 + t)) kg/min
Odm/dt = - m/ (100 + t) kg/min
We can conclude that the option Odm/dt = 15-(m/100) describes the rate of change of the mass of salt in the tank. As the salt dissolves in the tank, the rate of accumulation of salt in the tank decreases and becomes zero when the solution becomes saturated. When this happens, the rate of input of salt will be equal to the rate of output of salt, and there will be no net accumulation of salt.
The rate of change of the mass of salt will be negative when the mass of salt is decreasing and will be positive when the mass of salt is increasing.
This occurs when salt is being added to the tank or when the solution is not yet saturated with salt.
The rate of change of the mass of salt in the tank will be zero at equilibrium.
In conclusion, the rate of change of the mass of salt in the tank is given by the option Odm/dt = 15-(m/100).
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The blood platelet counts of a group of women have a bell-shaped distributon with a mean of 257.4 and a standard deviaton of 66.5. (All units are 1000 ceisid.) Using the empircal rule, find each approximath percentage below a. What is the approximate percentage of women wth platelet counts within 1 standard deviation of the mean, or between 1909 and 323.97 b. What is the approxmate percentage of women with platelet counts between 579 and 4569 ? a. Approximately In of women in this group have platelet counts within 1 standard deviation of the mean, or between 190.9 and 3239 (Type an integer or a decimal. Do not round.)
Using the empirical rule, we can estimate the percentage of women with platelet counts within certain ranges based on the mean and standard deviation of the distribution. In this case, we are interested in finding the approximate percentage of women with platelet counts within 1 standard deviation of the mean and between specific values.
The empirical rule states that for a bell-shaped distribution (normal distribution), approximately 68% of the data falls within 1 standard deviation of the mean, approximately 95% falls within 2 standard deviations, and approximately 99.7% falls within 3 standard deviations.
(a) For the platelet counts within 1 standard deviation of the mean, we can calculate the approximate percentage as follows:
Percentage = 68%
(b) To find the approximate percentage of women with platelet counts between 579 and 4569, we need to determine the number of standard deviations these values are away from the mean. We can then use the empirical rule to estimate the percentage. First, we calculate the z-scores for the given values:
Z-score for 579 = (579 - 257.4) / 66.5
Z-score for 4569 = (4569 - 257.4) / 66.5
Once we have the z-scores, we can refer to the empirical rule to estimate the percentage. However, without the specific z-scores or further information, we cannot provide an accurate estimate.
In summary, the approximate percentage of women with platelet counts within 1 standard deviation of the mean is 68%. Without specific z-scores, we cannot determine the approximate percentage of women with platelet counts between 579 and 4569.
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I need help with this practice problem solving Read the instructions, then answer by filling in the three boxes
PLS HELP!! URGENT!!
PLS HELP ASAP
Answer:
a.
perimeter of rectangular = 2 times length + 2 times wide = 2L + 2W = 2 (L + W)
since L is x m and W is y meter, then
perimeter = 2 (L + W) = 2 (x + y)
p = 2(x + y)
(the correct is actually this one
70 ≤ 2(x+y) ≤ 96
b. minimum perimeter
to find minimum perimeter, use the minimum length (which is 20) and minimum wide (which is 15)
p(min) = 2 * ( x(min) + y(min))
p(min) = 2 * (20 + 15)
p(min) = 2 * (35) = 70
c. maximum perimeter
to find maximum perimeter, use the maximum length (which is 30) and maximum wide (which is 18)
p(miax) = 2 * ( x(max) + y(max))
p(max) = 2 * (30 + 18)
p(max) = 2 * (48) = 96 m
hola me pueden ayudar porfis aunque sea el punto 1 del el cuadro, solo necesito el cuadro porfa es que no entiendo, se los pido
Answer:
Si supiera te diría amigo perdón
can somewone help me to calculate ca the perimter of a round that is 3,16m diameter?
Step-by-step explanation:
Perimeter is
r × 2 × pi
r is the radius
pi is about 3.1415
you have a diameter at 3.16
radius is half the diameter
so
3.16÷2 = 1.58
put it into equation
1.58 × 2 × 3.1415
= Answer
a fair coin is tossed three times. let x be the number of heads on the first toss and y be the total number of heads. create a table that describes the joint pmg
The joint probability mass function (PMF) for the random variables x and y can be represented in a table with rows and columns corresponding to the possible values of x and y, respectively.
In this case, x represents the number of heads on the first toss, and y represents the total number of heads over all three tosses. There are two possible outcomes for each coin toss: heads (H) or tails (T). Thus, there are 2^3 = 8 possible outcomes for three coin tosses, which can be listed as follows: HHH, HHT, HTH, THH, HTT, THT, TTH, TTT. For the first toss, there are two possible outcomes: H or T. Thus, x can take on the values x = 0 or x = 1, with probabilities P(x = 0) = 1/2 and P(x = 1) = 1/2.
For the total number of heads over all three tosses, there are four possible outcomes: 0, 1, 2, or 3 heads. The joint probabilities can be calculated by considering the possible outcomes for each value of x. For example, if x = 0 (i.e., the first toss is a tail), then y can only be 0 or 1, depending on the outcomes of the second and third tosses. The probabilities of these outcomes are P(x = 0, y = 0) = 1/8 and P(x = 0, y = 1) = 3/8. The joint probability mass function for x and y can be summarized in a table as follows:
y=0 y=1 y=2 y=3
x=0 1/8 3/8 3/8 1/8
x=1 1/8 3/8 3/8 1/8
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HELP DUE IN 10 MINS! Solve for x in the parallelogram below:
x=??
Answer:
7Step-by-step explanation:
Opposite sides of a parallelogram are congruent:
2x + 10 = 4x - 44x - 2x = 10 + 42x = 14x = 7please help! pictures below.
Answer:
sorry but there is no picture just tell me
Step-by-step explanation:
Answer:
hello no pictures listed
Step-by-step explanation:
I'LL GIVE BRAINIEST TO WHOEVER ANSWERS THIS CORRECTLY
3. The function represents the number of specialty items produced at the old factory w weeks after a change in management. The graph represents the number of specialty items produced at the new factory during the same time period.
(a) During Week 0, how many more specialty items were produced at the old factory than at the new factory? Explain.
(b) Find and compare the growth rates in the weekly number of specialty items produced at each factory. Show your work.
(c) When does the weekly number of specialty items produced at the new factory exceed the weekly number of specialty items produced at the old factory? Explain.
Answer:
The correct answer is A
I hope that helped.
Step-by-step explanation:
what is the maximum of the sinusoidal function? enter your answer in the box.
Answer:
Step-by-step explanation:
B
Use the point (h,k) to help you write a possible equation for the graph below
By using the vertex of the quadratic equation, we will get the equation:
y = -2*(x + 6)^2
How to write the quadratic equation?For a quadratic equation with a leading coefficient "A" and a vertex (h, k), the equation can be written as:
y = A*(x - h)^2 + k
Here we can see that the vertex is (-6, 0), so we have:
y = A*(x + 6)^2
We also can see that the parabola passes through the point (-4, -8), replacing these values above we will get:
-8 = A*(-4 + 6)^2
-8 = A*(2)^2
-8 = 4A
-8/4 = A
-2 = A
Then the quadratic equation is:
y = -2*(x + 6)^2
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Please Help I will Mark Brainliest!
Answer:
Step-by-step explanation:
1) 12/7
2) y = 12/7 x
3) Domain: 0 \(\leq\) x \(\leq\) 7
Range: 0 \(\leq\) x \(\leq\) 12
Integrate by hand the following functions: adr b) (42³-2r+7) dz Upload Choose a File
The integral of (42³ - 2r + 7) dz is equal to (42³ - 2r + 7)z + C.
To integrate the function (42³ - 2r + 7) dz, we treat r as a constant and integrate with respect to z. The integral of a constant with respect to z is simply the constant multiplied by z:
∫ (42³ - 2r + 7) dz = (42³ - 2r + 7)z + C
where C is the constant of integration.
Note: The integral of a constant term (such as 7) with respect to any variable is simply the constant multiplied by the variable. In this case, the variable is z.
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Uh please help me, I need a step by step answer.
Answer:
B 1296
Step-by-step explanation:
Area of a rectangle = Length × Width
Area of a triangle = \(\frac{1}2\) × Base × Height
3 sides are rectangles with the measurements of (9mm by 21mm)
So 3(9 × 21) = 567mm^2
6 sides are rectangles with the measurements of (9mm by 9mm)
So 6(9 × 9) = 486mm^2
1 side is a rectangle with the measurements of (9mm by 15mm)
So (9 × 15) = 135mm^2
2 sides are triangles with unknown, but equal bases.
To calculate the base, you subtract 9 from 21: 21 - 9 = 12mm
Therefore the base = 12mm
The other measurement can be found by looking to the left of the triangle (9mm from the side)
So 2(\(\frac{1}2\) × 12 × 9) = 108mm^2
Add the sides up:
567 + 486 + 135 + 108 = 1296 mm^2
I need help with 8, 9, and 10 if you can show work that'd be great! Thank you
Answer:
answers highlighted in yellow, hope this helps!
Step-by-step explanation: