Answer:
4x² + 3
Step-by-step explanation:
To obtain g(f(x))), substitute x = f(x) into g(x), that is
g(2x)
= (2x)² + 3
= 4x² + 3
What is the minimum score necessary to be in top 60% of the distribution for a normal distribution with mean=70 and standard deviation=10?I got the explanation but why there is need to subtract from 1. I didnt understand fully.
Substituting the values mean = 70 and standard deviation = 10, we can find the minimum score necessary to be in the top 60% of the distribution.
In a normal distribution, the area under the curve represents the probability. To find the minimum score necessary to be in the top 60% of the distribution, we need to find the score that corresponds to the 60th percentile.
Since the normal distribution is symmetric, we can find the cutoff point by subtracting the area below the 60th percentile from 1. By doing so, we are essentially finding the area to the right of the cutoff point.
In this case, we want to find the z-score (standardized score) that corresponds to the 60th percentile. We can use a standard normal distribution table or a calculator to find this z-score.
Once we have the z-score, we can use the formula:
X = mean + (z-score * standard deviation)
Substituting the values mean = 70 and standard deviation = 10, we can find the minimum score necessary to be in the top 60% of the distribution.
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25x-10x²/-15x³ -5x plss helpp
Assuming it's factorization/simplify
[tex]\frac{25x-10x^2}{-15x^3-5x} \\\frac{5x(5-2x)}{-5x(3x^2+1)} \\\frac{5x(5-2x)}{-5x(3x^2+1)} \\-\frac{(5-2x)}{(3x^2+1)} \\-\frac{(-2x+5)}{(3x^2+1)} \\\frac{2x-5}{3x^2+1} \\[/tex]
If you have any questions, feel free to ask.
Answer:
2/3x^5+20x
Step-by-step explanation:
25x−/10x^2/−15x^3−5x
=25x+2/3x^5+−5x
Combine Like Terms:
=25x+2/3x^5+−5x
=(2/3x^5)+(25x+−5x)
=2/3x^5+20x
=2/3x^5+20x
If m < 6 = 50 degrees, then find m < 8 .
M < 8 = ___ ?
And what’s the angle relationship? : is it vertical angles, corresponding angles, alternate interior angles, alternate exterior angles, same-side interior angles, or same-side exterior angles ?
Please help! I’ll give brainliest to the first person who answers correctly :)
Answer:
50
Corresponding angles
Mr. Reddick has 74 total yards of red and blue felt to distribute to students in his art class. Each of his 20 students gets 2.5 yards of blue felt for the project. He also gives each student an equal amount of red felt. How much red felt does each student get?
1.2 yd
3.7 yd
12 yd
24 yd
Answer:
1.2 yard i got it right!
Step-by-step explanation:
6m+10p when m=8 and p=14
Which expression is equivalent to 6 cubed?
Solve for w.
-29 = -5 +4w
Simplify your answer as much as possible.
Answer:
W= -6
Step-by-step explanation:
-4w = -5 + 29
-4w = 24
Divide both sides by -4
=
W = -6
Answer:
you change w to the other side then proceed as you normally would
PLS HELP ASAP calculate the distance between the two points. (18, -24) & (87, 100)
Answer:
The answer is 141.90 unitsStep-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\[/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(18, -24) & (87, 100)
The distance between them is
[tex]d = \sqrt{ ({18 - 87})^{2} + ({ - 24 - 100})^{2} } \\ = \sqrt{ ( { - 69})^{2} + ( { - 124})^{2} } \\ = \sqrt{4761 + 15376} \\ = \sqrt{20137} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ = 141.90489773...[/tex]
We have the final answer as
141.90 unitsHope this helps you
the exponential function f(x) has a horizontal asymptote at y=3 what is the end behaviour of f(x)?
Answer: C) as x → -∞, y → 3
as x→ ∞ , y → ∞
Step-by-step explanation:
see graph
Notice that as x approaches negative infinity (goes to the left), the y value approaches the asymptote of y = 3.
And as x approaches positive infinity (goes to the right), the y-value increases without bound so goes to infinity.
As x decreases without bound f(x) approaches but never reaches 3. As x increases without bound f(x) increases without bound. the option C is correct.
What are exponential functions?When the expression of function is such that it involves the input to be present as an exponent (power) of some constant, then such function is called exponential function.
Their usual form is specified below. They are written in several such equivalent forms.
From the graph, we can see that as x approaches negative infinity (goes to the left), the y value approaches the asymptote of y = 3.
As x approaches more negative the function will approach the horizontal asymptote,
so lim(f(x)) = 3 as x → -∞.
As x approaches more positive, so does the function,
so lim(f(x)) → +∞ as x → +∞.
As x decreases without bound f(x) approaches but never reaches 3. As x increases without bound f(x) increases without bound.
Hence, the option C is correct.
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(19, 18), (-11, -14)
Find the slope of the line through each pair of points- Include the process.
(Will give top answer, pls answer!!)
Answer:16/15
Step-by-step explanation:
slope=[tex]\frac{y_{2}- y_{1} }{x_{2}-x_{1} }[/tex]
=[tex]\frac{-14-18}{-11-19}[/tex]
=[tex]\frac{-32}{-30}[/tex]
=[tex]\frac{16}{15}[/tex]
Please help me with this problem. :)
10-3x-1/2=6x+3/11
A simple linear model has been fit to estimate the effect of temperature, T, (in degrees Celsius) on ambient terpene concentrations, C, (in parts per million) in a data set containing 32 observations C; = [30 + fiiTs + 6:2 6: ~ N(0.02) The parameter for the effect oftemperatu re, [31 , has an estimate of 0.33 with a standard error of 0.17. 3 The test statistic for the two-sided null hypothesis test H0 : 31 = O is 0.69. 1 3 da) 3 How many degrees offrEedom will the t—test have? Calculate the p value accociated with this hypothesis test. {please provide your answers to 4 decimal places)
The t-test for the two-sided null hypothesis test H0: β1 = 0 will have 30 degrees of freedom.
The degrees of freedom for the t-test in this case is calculated as the total number of observations minus the number of parameters being estimated. In this scenario, the linear model has been fit to estimate the effect of temperature on terpene concentrations using 32 observations. The model includes an intercept term and one parameter for the effect of temperature, resulting in a total of two parameters being estimated (including the intercept). Therefore, the degrees of freedom for the t-test is 32 - 2 = 30. To calculate the p-value associated with the hypothesis test, we need to compare the test statistic to the appropriate t-distribution. The test statistic in this case is 0.69. Since the test is two-sided, we need to find the area in both tails of the t-distribution that is greater than the absolute value of the test statistic. By referring to the t-distribution table or using statistical software, we can determine the p-value. The p-value is the probability of observing a test statistic as extreme as the one obtained, assuming the null hypothesis is true.
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3.
Is the following relation a function?
Why or why not?
{(3,1), (-2,4),(4,5), (-7,7), (3,-3)}
The relation is a function
because x-values do not
repeat.
The relation is a function
because the x-values repeat.
The relation is NOT a function
because the x-values repeat.
The relation is NOT a function
because the y-values repeat.
Answer:
The relation is NOT a function because the x values repeat.
Step-by-step explanation:
remember a function means theres only ONE pair to a x value that means it cannot repeat the same number.In your equation there is a (3,1) and (3,-3) because there is 2 digits of 3 in the x value place the orderd pairs are NOT a function.
HELP NOW PLEASE I WILL GIVE BRAINLIEST IT'S URGENT!!!!!!
I need help filling in the equation for #30. My teacher asked me to fill in the blank.
y = ___ - 4x
Answer:
24
Step-by-step explanation:
y= 24-4x
Q.1) (40 p.) Work out each of the following section: A. (10 p.) Calculate a) √x (R² R) and b) V.R, where R = Xi+Yj + Zk and R = R. B. (15 p.) Find the directional derivative of p=x²yz + 4x z² at (1, -2, -1) in the direction 2 i-j - k. C. (15 p.) Verify Green's theorem in the plane for [(xy. + y²)dx + x³dy where C is closed curve of the region bounded by y = x and y=x². Green's theorem is defined as [Pdz + Pdr + Qdy= ƏQ Ər -OP) dady ду
In this question, we are asked to perform various calculations and verify Green's theorem in the plane. The first section involves calculating the square root of a vector and finding the dot product of two vectors.
The second section requires finding the directional derivative of a function at a given point in a specific direction. Finally, the third section involves verifying Green's theorem for a given curve and region.
A. In the first part of the question, we are asked to calculate the square root of a vector (√x) and find the dot product of two vectors (V.R). To calculate √x (R² R), we take the square root of each component of the vector R (Xi+Yj+Zk) individually. For V.R, we perform the dot product operation, which involves multiplying corresponding components of the two vectors and summing them up.
B. In the second part, we need to find the directional derivative of the function p=x²yz + 4xz² at the point (1, -2, -1) in the direction of 2i-j-k. The directional derivative measures the rate of change of a function along a given direction. To find it, we calculate the gradient of the function and then take the dot product of the gradient with the direction vector.
C. The third part involves verifying Green's theorem for a given curve C and region bounded by y=x and y=x². Green's theorem relates a line integral around a simple closed curve C to a double integral over the plane region bounded by C. To verify the theorem, we calculate the line integral of the given differential form [(xy + y²)dx + x³dy over the curve C and compare it to the double integral of the divergence of the form over the region bounded by C.
In summary, this question requires performing vector calculations, finding directional derivatives, and verifying Green's theorem. Each section involves applying specific mathematical concepts and techniques to arrive at the final solutions.
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Help me please. THE SCREENSHOT HAS THE QUESTION!!!
Answer:
The answer is B.
Step-by-step explanation:
Remove the (unnecessary) parentheses then calculate the product.
9x^2y^3×12x^-3y^5×2xy= 216y⁹
a) How many ways can the letters of the word IMPORTANCE be arranged in a row?
b) How many ways can the letters of the word IMPORTANCE be arranged in a row if I and M must remain next to each other as either IM or MI?
c) How many permutations of the letters IMPORTANCE contain P, O and R (all three of them) not to be together in any order?
A) The word IMPORTANCE has 10 letters, and all of them are unique. So, the number of ways to arrange the letters in a row is 10!, or 3,628,800.
B) If I and M must remain next to each other, we can treat them as a single letter. This gives us 9 letters to arrange, which can be done in 9! ways, or 362,880. We then need to divide by 2 to account for the fact that I and M can be arranged in two different ways (IM and MI). This gives us a final answer of 181,440.
C) If P, O, and R cannot be together in any order, we can treat them as three separate groups of letters. This gives us 6 groups of letters to arrange, which can be done in 6! ways, or 720 ways. We then need to divide by 3! to account for the fact that P, O, and R can be arranged in 3 different ways (POR, ORP, and RPO). This gives us a final answer of 240.
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You are at a restaurant and the check comes to a total of $74. If you want to leave a 15% tip, how much total money should you pay, to the nearest cent?
Answer:
85 dollars or to be exact $85.1
Step-by-step explanation:
Multiply the cost of 74 dollars by 0.15 then add the tip to the original amount.
The company will produce ____ quarts of juice in the first quarter.
A. 18
B. 24
C. 28
D. 32
Answer: 24
Step-by-step explanation:
Multistep income statement In 2011. Grice Incorporated sold land fpr $95,000 cash. The land had originally cost $50,000. Also, Grice sold inventory that had Cost $200,000 for 5275,000 cash. Operating expenves amounted to $52,000. Required Accounting for Merchandising Busnesses 223 a. Prepare a 2011 multistep income statement for Grice Incorporated. b. Assume that norpal operating activities grow evenly by 10% during 2012. Prepare a 2012 multistep inconre statement of Grice lncorporated. c. Determine thepercentage change in net income between 2011 and 2012 . d. Should the stoskholders have expected the results determined in requirement "e"? Explain your answer.
A multistep income statement is a kind of statement of earnings that separates a business's revenue and expenses into multiple categories to help calculate gross profit and net income more precisely. Grice Incorporated's 2011 multistep income statement is shown below:
Grice Incorporated Multistep Income Statement For the Year Ended December 31, 2011Sales Revenue $275,000Cost of Goods Sold: Beginning Inventory $0Add: Purchases $200,000. Goods Available for Sale $200,000Less: Ending Inventory $0Cost of Goods Sold $200,000Gross Profit $75,000. Operating Expenses: Selling Expenses $16,000Administrative Expenses $36,000Total Operating Expenses $52,000Income from Operations $23,000Other Income $95,000Net Income $118,000b.
The 2012 multistep income statement for Grice Incorporated is prepared based on the assumption that normal operating activities grow evenly by 10%. The statement is shown below:
Grice Incorporated Multistep Income Statement For the Year Ended December 31, 2012Sales Revenue $302,500Cost of Goods Sold: Beginning Inventory $0Add: Purchases $220,000Goods Available for Sale $220,000Less: Ending Inventory $0Cost of Goods Sold $220,000Gross Profit $82,500Operating Expenses: Selling Expenses $17,600Administrative Expenses $39,600Total Operating Expenses $57,200Income from Operations $25,300Other Income $0Net Income $25,300c.
The percentage change in net income between 2011 and 2012 is calculated as follows:
Change in Net Income = (Net Income 2012 - Net Income 2011) / Net Income 2011= (25,300 - 118,000) / 118,000= -78.1%Therefore, the percentage change in net income between 2011 and 2012 is -78.1%.d.
No, the stockholders should not have expected the results determined in requirement "e" because the percentage change in net income between 2011 and 2012 is -78.1%. The decrease in net income was caused by the absence of extraordinary gains in 2012, which were present in 2011. However, the growth in normal operating activities had a positive impact on the company's gross profit and income from operations in 2012. Therefore, the stockholders' expectations should have been based on a comprehensive analysis of the company's financial performance in both years.
The multistep income statement helps to present the financial results of a business with more accuracy by separating revenues and expenses into multiple categories. It also assists in identifying trends and growth rates of the company. In the case of Grice Incorporated, the net income decreased by 78.1% in 2012 due to the absence of extraordinary gains in 2011, but the growth in normal operating activities had a positive impact on the gross profit and income from operations.
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Which expression is equivalent to 4^6 • 4^-8
Answer:
[tex]\huge\boxed{4^{-2}}[/tex]
Step-by-step explanation:
If we have the expression [tex]4^6 \cdot 4^{-8}[/tex], our goal is to simplify it.
Using exponent rules, we know that [tex]a^b \cdot a^c = a^{b+c}[/tex].
Therefore, we can add our exponents (since we have the same base, 4) to get our simplified expression.
[tex]6 + -8[/tex]
Adding a negative is the same as subtracting a positive.
[tex]6 - 8 = -2[/tex]
Now we raise 4 to that power.
[tex]4^{-2}[/tex]
Hope this helped!
PLEASE HELP THIS IS WORTH A LOT OF MY GRADE
Write a congruence statement for the pair of triangles. Name the postulate or theorem that justifies your statement.
O A AJKL Z AVUT by AAS
BAJKL Z LUVT by SAS
CAJLK = LUVT by AAS
d
DJK TUL by SAS
Answer:
B.
Step-by-step explanation:
Since there in one congruent angle inbetween two congruent sides, you would use SAS to prove these triangles are congruent. this is because side, angle, side=SAS. answer D also uses SAS but puts the vertices in the wrong order so it is incorrect.
hopw this helps :)
The size of a typical virus is about 0.000008 centimeters, which can be
written as 8 x 10^n centimeters. What is n?
O A. 5
B. -6
C. -5
D. 6
Answer:
B. -6
Step-by-step explanation:
;-;
Answer:
-6
Step-by-step explanation:
x/24 = 30/36 pls help i might know the answer but i want someone to confirm it
Answer:
Step-by-step explanation:
x/24 = 30/36 simplify
x/24 = 5/6 divide 24 by 6 is 4; multiply 4 by 5
x= 20
Sharon kicks a ball from the ground into the air with an upward velocity of 64 feet per second. The function h = -16t2 + 64t models the height h, in feet, of the ball at time t, in seconds. When will the ball reach the ground again?
a. 1 second after the ball is thrown
b. 2 seconds after the ball is thrown
c. 3 seconds after the ball is thrown
d. 4 seconds after the ball is thrown
Answer:
d. 4 seconds after the ball is kicked
Step-by-step explanation:
The height function can be factored as ...
h = -16t(t -4)
The values of t where h = 0 are 0 and 4.
The ball will reach the ground again 4 seconds after it is kicked.
Answer:
D
Step-by-step explanation:
four seconds after the ball was thrown
Please mark brainliest:)
Which graph decreases, crosses the y-axis at (0, -7), and then increases?
A. Graph C
B. Graph A
C. Graph B
Need help please!!!!
Write the equation of the line above in point slope form.
Answer:
y = 2x - 1
Step-by-step explanation:
Answer:
y=1x+0
Step-by-step explanation:
ur welcome.......
Enter the value for x that makes this equation 5 + 3x -37=6x +23-8 true.
Answer:
x= -47/3
Step-by-step explanation:
3x-6x=23-8-5+37
-3x=47
3x=-47
x= -47/3
Answer:
X= -47/3
that's the answer
Subtract.
6/11-2/11=
I need some help what’s the answer:(
