Answer:
D
Step-by-step explanation:
Take the coefficients of each term and list them.
- 1 5 - 9
Multiply 3 by the first coefficient and combine it from the second.
- 1 * 3 = - 3, 5 - 3 = 2
Multiply 3 by this product and combine it from the third term.
3 * 2 = 6, - 9 + 6 = - 3
Your remainder is option D, - 3.
Answer:
-3
Step-by-step explanation:
3 -1 5 -9
-3 6
-1 2 3
Remainder: -3
Factored: [tex]-x+2-\frac{3}{x-3}[/tex]
1.) Set up the synthetic division.
2.) drop the first term down. My teacher used to say "drop it like its hot" :)
3.) Multiply c by the value just written on the bottom row.
4.) Add the column created in step 3.
5.) Repeat until done.
6.) Write out the answer
regression analysis invites us to think in terms of an independent variable resulting from or being caused by a dependent variable's actions. true false
The given statement , regression analysis invites us to think in terms of an independent variable resulting from or being caused by a dependent variable's actions is true.
Regression analysis is a group of statistical procedures used in statistical modelling to determine the relationships between a dependent variable (often referred to as the "outcome" or "response" variable, or a "label" in machine learning jargon), and one or more independent variables (often referred to as "predictors," "covariates," "explanatory variables," or "features").
In linear regression, the most typical type of regression analysis, the line (or a more complicated linear combination) that most closely matches the data in terms of a given mathematical criterion is found.
When using the ordinary least squares method, for instance, the specific line (or hyperplane) that minimizes the sum of squared differences between the genuine data and that line is computed (or hyperplane).
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a tank with a capacity of 400 l is full of a mixture of water and sugar with the concentration 0.05 g/l. in order to reduce the concentration of sugar, fresh water is pumped into the tank at a rate of 4 l/s. the mixture is kept stirred and is pumped out at a rate of 10 l/s. find the amount of sugar in the tank as a function of time.
The function for the tank's sugar content as a function of time is y(t) = (20/(400)^5/3 (400-6t)^5/3.
Time functions include the following: s(t) is the distance that a particle travels from time 0 to time t. v(t) is the particle's velocity at the given time. a(t) is the acceleration of a particle at time t. To add the specified amount of hours, we can utilize the TIME function. The function eliminates the requirement for us to keep in mind the formula to convert decimal hours to an Excel time. The correct formula is =A2+TIME (B2,0,0).
Let y(t) = amt. of Cl at time t.
At time t = 0, there is (400 L) (0.05 g L) = 20 g of Cl in the tank, so the initial condition is y(0) = 20.
To set up our differential equation, we consider the rate at which Cl flows into the tank and the rate at which Cl flows out of the tank.
dy/dt = (rate of Cl in) − (rate of Cl out) =
dy/dt = 0-(y/400-6t)*(10)
dy/dt = (−10y/(400 − 6t))
Thus, the particular solution that gives the amount of Cl at time t is
y(t) = (20 / (400)^5/3) (400 − 6t)^5/3
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Graph this compound inequality: x <-8 or x ≥ 3
The graph of the inequalities x < -8 and x ≥ 3 would be the lines right to 3 in the number line which also includes 3 and the line left to -8 but -8 not included.
What is Number line?Number lines are the graphical representation of numbers on a horizontal straight line where the numbers are placed on equal intervals. We can graph the equations and inequalities of one variable on a number line.
The given inequalities are x < -8 and x ≥ 3.
First let us consider the inequality x < -8.
This means that all the numbers which is less than -8 but does not include -8.
That will be a line tends to left from -8 with an open circle on -8.
Consider the other inequality x ≥ 3.
This includes all the numbers which are greater than 3 and also include the number 3 since the inequality is ≥.
The graph will be a line tends to right from 3 with a closed circle on 3.
Hence the graph of this compound inequality will be a line tends to left with an open circle on -8 and a line tends to right with a closed circle on 3.
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Answer: i did it
Step-by-step explanation: answered the 2nd question aswell, hope this helps someone
you have a rectangular piece of wood that is 16 in by 8 in. a small length, x, is cut from each of the 4 sides yielding a surface area of 48 2 in . find the value of x.
After solving the equation, the value obtained for x will be equal to 20 in².
What is the area?An object's area is how much space it takes up in two dimensions. It is the measurement of the number of unit squares that completely encompass the surface of a compact figure.
The squared unit, which is frequently expressed as inches, square feet, etc., is the accepted unit of area.
As per the given information in the question,
Let the length of the rectangular wood, l = 16 in and,
The width of the rectangular wood, w = 8 in.
Use the area of a rectangle,
A = lw
A = (16)(8)
A = 128 in².
Let the area cut from each side be x.
If the area is cutting from all sides, then it will be 4x.
The surface area left after cutting the board = 48 in²
Then, the equation will be,
128 in² - 4x = 48 in²
4x = 128 in² - 48 in²
4x = 80
x = 80/4
x = 20 in²
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A popular fast-food restaurant serves cheeseburgers and fries. A family meal consists of 3 cheeseburgers and 4 orders of fries for a total of 3650 calories. A deluxe family meal consists of 5 cheeseburgers and 6 orders of fries for a total of 5750 calories.
Answer:
Calories per Cheeseburger: 1250
Calories per Fries: 250
Step-by-step explanation:
Which is an equation of a line that passes through the point (-1, -4 and has an undefined slope?
a plant cell had 5.8 x 10^-6 m and width 2.9 x 10^-6 m. what is the ratio of the plants cells length to its width
The ratio of the plant cell's length to its width is 2:1 (5.8 x 10^-6 m to 2.9 x 10^-6 m).
To calculate the ratio of the plant cell's length to its width, we first need to find the length and width of the cell. The given data states that the length of the cell is 5.8 x 10^-6 m and the width is 2.9 x 10^-6 m. To calculate the ratio, we divide the length by the width. In this example, we divide 5.8 x 10^-6 m by 2.9 x 10^-6 m, which equals 2. Thus, the ratio of the plant cell's length to its width is 2:1.
length / width = 5.8 x 10^-6 m / 2.9 x 10^-6 m = 2
length : width = 5.8 x 10^-6 m : 2.9 x 10^-6 m = 2:1
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find the slope of the line that passes through (8,10) and (10,7)
Answer:
slope = - [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (8, 10 ) and (x₂, y₂ ) = (10, 7 )
m = [tex]\frac{7-10}{10-8}[/tex] = [tex]\frac{-3}{2}[/tex] = - [tex]\frac{3}{2}[/tex]
If three hens can lay 3 eggs in 3 days how many days can 7 hens lay 7 eggs? Pls help!!
Answer:
3 days
Step-by-step explanation:
divide 6 by b, then double the result
Answer:
it is 12/2b
Step-by-step explanation:
answeranswer
which point could represent 5/3?
A
B
C
D
Answer:
C
Step-by-step explanation:
5/3 can be written as 1.6666667 in decimal form. C is the only option greater than 1
4
Lee has 6 pygmy goats. Their weights, in kg, are listed below.
32 23 31 28 36
26
Two of the goats wander off and don't return. The remaining 4 goats have a mean
weight of 27.25 kg. Find the weights of the two goats who wandered off.
4
GR
Answer:
The weight of the two goats is 2.08 kg
Step-by-step explanation:
Total avg
32+23+31+28+36+26 = 176176/6 = 29. 33Avg of the two goats
29.33 - 27.25 = 2.08 kgAvg of one goat
2.08 /2 = 1.04 The avg of one goat 1.04kgWrite the answer in the blank.
What number is 280 more than 220?
Answer: 500
Step-by-step explanation:
280 + 220 is 500
Answer:
The number is 500.
Step-by-step explanation:
Let's assume that,
→ Missing number = x
Forming the equation,
→ x = 220 + 280
Now the value of x will be,
→ x = 220 + 280
→ [ x = 500 ]
Hence, the number is 500.
Select the correct answer from each drop-down menu. circle a has diameters ef and ih intersecting approximately at 90 degrees, radius ad with point d lies on minor arc hf, and chord bc intersecting diameter ef near point e at a right angle. point a is the center of this circle. the ratio of the lengths of and is 2 : 1.
Answer:EF to AD
Step-by-step explanation:
What is the value of x?
if two vectors are perpendicular to each other, their cross product must be zero.
true
false
Answer: False
Step-by-step explanation: This is false because perpendicular mean that 2 lines cross to make a 90 degree angle. If a cross product is 0 the lines never touch meaning its parallel.
11-14) if b to the power x, = 7 and b > 0, then 7 / b must equal which of the following:
a) b to power (x-1)
b) b to power (x+1)
c) 7 to power x
Answer:
Here is the answer
Step-by-step explanation:
If b to the power x is equal to 7 and b is a positive number, then 7 / b must equal b to the power (x-1).
We can see this by applying the definition of an exponent: b to the power x is equal to b multiplied by itself x times. For example, if b is 2 and x is 3, then 2 to the power 3 is equal to 2 * 2 * 2 = 8.
If we divide both sides of this equation by b, we get:
7 / b = (b * b * ... * b) / b = b * b * ... * b = b to the power (x-1)
Therefore, if b to the power x is equal to 7 and b is a positive number, then 7 / b must equal b to the power (x-1). The answer is therefore a) b to the power (x-1).
Find the inverse of the following function. f(x) 8√ x for x > 0
Inverse function of f(x) 8√ x for x > 0 is f^-1(y)is 8√y for y > 0. The inverse of a function is a function that "undoes" the original function.
What is inverse of a function?In order for a function to have an inverse, it must be one-to-one, meaning that each input value must correspond to a.
if the original function maps input values to output values, the inverse function maps the output values back to the input values.
To find the inverse of the function f(x) = 8√x for x > 0, we can use the following steps:
Replace f(x) with y. This gives us y = 8√x for x > 0.
Replace x with f^-1(y). This gives us f^-1(y) = 8√y.
Solve for y. To solve for y, we can square both sides of the equation:
y^2 = (8√y)^2
y^2 = 64y
y^2 - 64y = 0
y(y - 64) = 0
This equation has two solutions: y = 0 or y = 64. However, the original function is only defined for x > 0, so the inverse function is only defined for y > 0. This means that the inverse function is f^-1(y) = 8√y for y > 0.
Therefore, the inverse of the function f(x) = 8√x for x > 0 is f^-1(y) = 8√y for y > 0.
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with an is + Un object is thrown vertically upward from a height of hift. initial speed of Vof +/sec It's height h (in feet) after + seconds is given by h = -16+² + vot h Given this, if it thrown vertically upward from the ground with an initial speed of: A, 64 Ful sec.A) it what time will the height of the object be Is F₁ (two answers) B, how long will it take for the object to reach 63 f1
The time to reach 15 feet is 3.75 seconds and the times to reach 63 feet are 1.75 and 2.25 seconds
Time to reach 15 feetFrom the question, we have the following parameters that can be used in our computation:
h= -16t² + v₀t + h₀
Also, we have
v₀ = 64
h₀ = 0
So, the function becomes
h= -16t² + 64t
At a height of 15 feet, we have
-16t² + 64t = 15
So, we have
-16t² + 64t - 15 = 0
Factorize the equation
So, we have the following representation
(4t - 1)(4t - 15) = 0
Expand the equation
4t - 1 = 0 or 4t - 15 = 0
So, we have
4t = 1 or 4t = 15
This gives
t = 1/4 or t = 15/4
Express as decimals
t = 0.15 or t = 3.75
Time to reach 63 feetHere, we have
h= -16t² + v₀t + h₀
Also, we have
v₀ = 64
h₀ = 0
So, the function becomes
h= -16t² + 64t
At a height of 63 feet, we have
-16t² + 64t = 63
So, we have
-16t² + 64t - 63 = 0
Factorize the equation
So, we have the following representation
(4t - 7)(4t - 9) = 0
Expand the equation
4t - 7 = 0 or 4t - 9 = 0
So, we have
4t = 7 or 4t = 9
This gives
t = 7/4 or t = 9/4
Express as decimals
t = 1.75 and t = 2.25
Hence, the time is 2.25 seconds
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Complete question
An object is thrown vertically upward from a height of h₀ ft with an initial speed of v₀ ft/sec. Its height h (in feet) after t seconds is given by
h= -16t² + v₀t + h₀. Given this, if it is thrown vertically upward from the ground with an initial speed of 64 ft/sec,
(a) At what time will the height of the ball be 15 ft? (two answers)
(b) How long will it take for the ball to reach 63 ft?
Find the slope and the y-intercept.
Then use them to graph the line. -2x + 5y = -15
Answer:
Step-by-step explanation:
this is easy
Help i am confused
I don't know what this is
HELP ASAP
will mark brainllest if its the best answer.
Answer:
Below
Step-by-step explanation:
First one and third one and 4th one are true
the standard error of the slope coefficient is 0.121855. calculate the lower limit of the 95% confidence interval of the slope coefficient for the regression of kinesthetic vark scores on the visual vark scores for biology students:
Lower limit = 0.45 - (1.96 * 0.121855) = 0.2209. This means that we can be 95% confident interval that the true slope coefficient lies between 0.2209 and 0.45.
1. The standard error of the slope coefficient can be calculated by dividing the sample standard deviation of the residuals (obtained from the regression output) by the square root of the sample size.
2. The lower limit of the 95% confidence interval of the slope coefficient can be calculated by subtracting 1.96 times the standard error of the slope coefficient from the coefficient itself.
Lower limit = 0.45 - (1.96 * 0.121855) = 0.2209
Interpretation
The lower limit of the 95% confidence interval for the slope coefficient of the regression of kinesthetic VARK scores on the visual VARK scores for biology students is 0.2209. This means that we can be 95% confident that the true slope coefficient lies between 0.2209 and 0.45.
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true or false the effect size for a regression analysis will be equal to the coefficient of determination
The statement 'the effect size for a regression analysis will be equal to the coefficient of determination' is True
In this question we have been given a statement 'the effect size for a regression analysis will be equal to the coefficient of determination'
We need to state whether the given statement is true or false.
We know that the effect size measures the strength of the relationship between two variables on a numeric scale.
And the coefficient of determination(R²) measures how well a statistical model predicts an outcome. It is a number between 0 and 1.
R² is a measure of effect size
Therefore, 'the effect size for a regression analysis will be equal to the coefficient of determination' is True.
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PLEASE EXPLAIN AND SHOW YOUR WORK THANK YOU!!
Solve as a MIXED NUMBER:
-2.25 + 0.4x = -2.8
THANK YOU!
Answer:
-1 3/8
Step-by-step explanation:
-2.25 + 0.4x = -2.8
-2.25 + 2.25 + 0.4x = -2.8 + 2.25 ==> add 2.25 on both sides to isolate x
0.4x = -0.55
(0.4x = -0.55)*20 ==> multiply the equation by 20 to remove decimals
8x = -11
x=-11/8
x=-(3+8)/8 ==> turn x into a mixed number
x=-3/8 - 8/8
x=-3/8 - 1 ==> simplify
x=-1 - 3/8
x=-(1 + 3/8)
x=-1 3/8
Form 100 points what is 100+100-100+800-69=
Answer:
Hi!
I think the answer is 831
I hope this helped you :)
Answer:
831
Step-by-step explanation:
HELP PLEASE WILL GIVE BRAINLYEST IF YOU REMIND ME AND IF THE ANSWER IS CORRECT!!!!!!
Answer:Solutions: x=1.
Step-by-step explanation:
The final answer is 15.
Wish that profited you.
If you need any additional clarification, let me know. :)
brainlist?
Out of the salary of Rs.123456, I saved half of it. From the remaining money, I spend 47% on food and 18% on rent. Calculate the amount spent on food and house rent?
Answer:
Amount spend on food: Rs 29012.16
Amount spend on rent: Rs 11111.04
Step-by-step explanation:
We know
The salary is Rs.123456
You saved half of it
123456/2 = Rs 61728
So, you have Rs 61728 remaining
47% on food
47% = 0.47
61728 times 0.47 = Rs 29012.16
So, you spend Rs 29012.16 on food
18% on rent
18% = 0.18
61728 times 0.18 = Rs 11111.04
So, you spend Rs 11111.04 on rent
So,
Amount spend on food: Rs 29012.16
Amount spend on rent: Rs 11111.04
Evaluate 7 Σ n=1 2(-2)^n-1.
Answer:
86
Step-by-step explanation:
I assume the question is [tex] \sum_{n=1}^{7} 2(-2)^{n-1} [/tex]
7: 2(-2)^6 = 128
6: 2(-2)^5 = -64
5: 2(-2)^4 = 32
4: 2(-2)^3 = -16
3: 2(-2)^2 = 8
2: 2(-2)^1 = -4
1: 2(-2)^0 = 2
128 - 64 + 32 - 16 + 8 - 4 + 2 = 86
Write a recursive formula for an, the nth term of the sequence 2,-6,18,-54
Answer: The recursive formula for the sequence 2, -6, 18, -54 is given by the following:
a(n) = (-3) * a(n-1)
where a(n) is the nth term of the sequence and a(n-1) is the previous term in the sequence.
This means that each term in the sequence is equal to -3 times the previous term, with the first term being 2. For example, the third term of the sequence (a(3)) would be equal to (-3) * a(2), which is (-3) * (-6) = 18. The fourth term of the sequence (a(4)) would be equal to (-3) * a(3), which is (-3) * 18 = -54. And so on.
This recursive formula can be used to calculate the nth term of the sequence for any value of n.
kiran collects data about the number of trees on school property and the average standardized test scores for those schools koran says the scatter plot between the number of trees on. school property and student standardized test scores shows a strong and positive correlation an increase in the number of trees on school property cause the students to score better on standardized test . what does it mean for the relationship between the variables when the correlation is strong in this situation
Answer:
Although the variables are related, there is not likely a causal relationship. Trees probably do not directly influence test scores as much as other factors that might be related.
Step-by-step explanation: