Answer:
y=a -bx^2
-bx^2 = y-a
bx^2 = a-y
x^2 = (a-y)/b
x = + or - sqr[(a-y)/b]
divide 6 by b, then double the result
Answer:
it is 12/2b
Step-by-step explanation:
answeranswer
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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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
What is the interest earned in a savings
account after 12 months on a balance of
$3500 if the interest rate is 1.5% APY
compounded yearly?
Answer:
The interest earned on a savings account with a balance of $3500 and an interest rate of 1.5% per year compounded yearly would be $52.50 after 12 months.
Step-by-step explanation:
To calculate the interest earned on a savings account, you need to know the interest rate, the length of time the money is deposited, and the starting balance. Based on the information provided, it appears that the interest rate is 1.5% per year, the money is deposited for 12 months, and the starting balance is $3500.
To calculate the interest earned, you would first need to convert the interest rate to a decimal by dividing it by 100. In this case, the interest rate would be 0.015. You would then multiply the interest rate by the starting balance to get the amount of interest earned in a year. In this case, the interest earned would be $3500 * 0.015 = $52.50.
Since the interest is compounded yearly, the total balance after one year would be the starting balance plus the interest earned. In this case, the total balance would be $3500 + $52.50 = $3552.50. Therefore, the interest earned on a savings account with a balance of $3500 and an interest rate of 1.5% per year compounded yearly would be $52.50 after 12 months.
What is the percent of change of 3.25 centimeters to 2.95 centimeters
The percentage of change is 10.17%.
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.
Given are the two measures 3.25 centimetres and 2.95 centimetres
The percentage change, of a quantity, is the ratio of the difference in the quantity to its initial value multiplied by 100.
Therefore, The percentage of change = [(3.25-2.95)/3.25]x100
= 0.3/3.25x100
= 10.17%
Hence, the percentage change = 10.17%
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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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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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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.
Ben has a barrel in his garden to collect rainwater. The barrel can hold less than 42 gallons of water. Which inequality represents this situation? Ow> 42 Ow< 42 w² 42 Ow≤ 42
Answer: The barrel can only hold less than 42 gallons of water, which means w<42.
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
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
find the slope of the line thst passes through (10,2) and (1,3)
Answer: -7/1
Step-by-step explanation: When graphing both points and drawing a line through it, count how many times it goes up or down and then count how many times it goes left or right.
Which is an equation of a line that passes through the point (-1, -4 and has an undefined slope?
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:
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
how many 10-digit integers are there which are palindromes? be sure to describe the process you are using.
There are 90000 palindromes 10-digit numbers.
In this question we need to find the number of 10-digit integers are there which are palindromes.
We know that a palindrome is a number that reads the same forward and backward.
The numbers that remain same even if they are reversed.
For exa., 131, 5225
We can observe that for even digit palindromes first half should be equal second half in reversed order.
we can generalize it as variables:
abcdeedcba, for a not equal to 0
So if we know how many 5-digit numbers are there, all we have to do is reverse it and we will have our 10-digit palindrome number.
There are 10 digits in total (0 - 9)
Since the first digit cannot be zero we excluded it from our choice hence we have 1–9 i.e 9 choices for first place(hundred's place)
The second, third, fourth and fifth digit has all 10 choices.
So, in total there are 9 x 10 x 10 x 10 x 10= 90000 five digit numbers.
Therefore, the total 10-digit numbers which are palindromes = 90000
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an outlier will have an effect on:
1) quartile III
2) the mean
3) the mode
4) the interquartile range
the mean
the mean is the average, having an outlier will make the average significantly higher or lower than accurate.
URGENT
pls answer soon
The measures of the angles are m ∠ 1 = 68°, m ∠ 2 = 126° and m ∠ 3 = 54°
What are parallel lines?Parallel lines are those straight lines that are always the same distance apart from each other. Parallel lines never meet, no matter how much they are extended.
Given is a figure, in which, lines d, e and lines f, g are parallel and h is a transversal.
In figure, (refer to figure attached)
ABC is a triangle,
Therefore, according to angle sum property of a triangle,
m ∠ 1 + 58° + 54° = 180°
m ∠ 1 = 180° - 112°
m ∠ 1 = 68°
Since, f║g
m ∠ 2 + 54° = 180° (consecutive angles between parallel line are supplementary)
m ∠ 2 = 126°
Similarly, d║e
m ∠ 2 + m ∠ 3 = 180°
m ∠ 3 = 180° - 126°
m ∠ 3 = 54°
Hence, The measures of the angles are m ∠ 1 = 68°, m ∠ 2 = 126° and m ∠ 3 = 54°
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Jacob is practicing the 100 meter dash. the data shows his time in seconds. 14, 13, 13.5, 16, 14 15.5, 14.5 Which box plot shows the data?
The box plot for given minimum, maximum, median, Q1 and Q3 is plotted below.
What is a box and whisker plot?A box and whisker plot—also called a box plot—displays the five-number summary of a set of data. The five-number summary is the minimum, first quartile, median, third quartile, and maximum. In a box plot, we draw a box from the first quartile to the third quartile. A vertical line goes through the box at the median.
The given data set is 14, 13, 13.5, 16, 14, 15.5, 14.5.
Order of data is 13, 13.5, 14, 14, 14.5, 15.5, 16.
Here, minimum is 13
Maximum is 16
Median is 14
Lower quartile range(Q1) is 13.5
Upper quartile range(Q3) is 15.5
Therefore, the box plot for given minimum, maximum, median, Q1 and Q3 is plotted below.
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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 1.04kgthe 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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What is the value of x?
A window company makes two square windowpanes. Windowpane A
has an area of 176 square inches. Windowpane B has an area of 275
square inches. How much longer is a side of Windowpane B than a
side of Windowpane A? Study the pictures.
Answer: 99.
If you take 275 and subtract it by 176, it should be 99, if I’m correct.
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:
Karissa begins to solve the equation StartFraction one-half EndFraction left-parenthesis x minus 14 right-parenthesis plus 11 equals StartFraction one-half EndFraction x minus left-parenthesis x minus 4 right-parenthesis.. Her work is correct and is shown below.
Three lines of math. The first line, StartFraction one-half EndFraction left-parenthesis x minus 14 right-parenthesis plus 11 equals StartFraction one-half EndFraction x minus left-parenthesis x minus 4 right-parenthesis. The second line, StartFraction one-half EndFraction x minus 7 plus 11 equals StartFraction one-half EndFraction x minus x plus 4. The third line StartFraction one-half EndFraction x plus 4 equals negative StartFraction one-half EndFraction x plus 4.
StartFraction one-half EndFraction x minus 7 plus 11 equals StartFraction one-half Endfraction x minus x plus 4.
StartFraction one-half EndFraction x plus 4 equals negative StartFraction one-half Endfraction x plus 4.
When she subtracts 4 from both sides, Startfraction one-half EndFraction x equals negative StartFraction one-half EndFraction x. results. What is the value of ?
–1
–negative StartFraction one-half EndFraction
0
StartFraction one-half EndFraction. BRAINIEST
When she subtracts 4 from both side of the equation, then she gets the value of x is 0.
What is expression?Expressions means the idea of expressing numbers using letters or alphabets without specifying their actual values, the expression is the statement consisting variable, numbers, and arithmetical operation.
Given that, Karissa begins to solve the equation,
1/2(x-14)+11 = 1/2x-(x-14)
1/2x-1/2(14)+11 = -1/2x-x+4
1/2x-7+11 = -1/2x+4
1/2x+4 = -1/2x+4
1/2x+1/2x = 4-4
x = 0
Hence, When she subtracts 4 from both sides, then x = 0
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I Agree With The Other Person
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).
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.
Write 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.
answer for ten points!
Answer:
try 1239128981441231241
Step-by-step explanation:
myra
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?
