The derivative dw/dz of the function w = 3z^3 - 723z + 2122 at z = 1 is -714.
To find the derivative dw/dz of the function w = 3z^3 - 723z + 2122 at z = 1:
Follow these steps:
STEP 1: Identify the function: w = 3z^3 - 723z + 2122
STEP 2: Differentiate the function with respect to z:
dw/dz = d(3z^3)/dz - d(723z)/dz + d(2122)/dz
STEP 3: Apply the power rule for derivatives:
dw/dz = 3(3z^2) - 723(1) + 0
STEP 4: Simplify the derivative:
dw/dz = 9z^2 - 723
STEP 5: Evaluate the derivative at z = 1:
dw/dz = 9(1)^2 - 723
dw/dz = 9 - 723
dw/dz = -714
So, the derivative dw/dz of the function w = 3z^3 - 723z + 2122 at z = 1 is -714.
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find the value of y answer is not
\(14 \sqrt{3} \)
. NO SCAMS OR LINKS! THANKS FOR THE HELP
Answer:
\( \tan(60 \degree) = \frac{21}{y} \\ y = \frac{21}{ \tan(60 \degree) } \\ y = 12.124 \\ = 7 \sqrt{3} \)
what is the least common denominator for rational expression?
\( \large \bf \implies{(x - 6)^{2}(x + 1) }\)
Step-by-step explanation:\( \sf \longrightarrow\frac{1}{ {x}^{2} - 5x - 6} \: and \: \frac{1}{ {x}^{2} - 12 + 36 } \\ \)
\( \sf \longrightarrow \frac{1}{ {x}^{2} - 5x - 6 } = \frac{1}{(x - 6)(x + 1)} \\ \\ \sf \: and \\ \\ \sf \longrightarrow \frac{1}{ {x}^{2} - 12x + 36 } = \frac{1}{(x - 6)(x - 6)} \)
\(\sf \longrightarrow \frac{1}{(x - 6) ^{2}(x + 1) } \\ \)Therefore, the least common denominator is (x - 6)²(x+1).Additional information:# How to solve middle splitting term ?Step 1) : First of all notice that term is in standard form.
For eg :- 6x + 2x² + 5 = 2x² + 7x + 5
Step 2) : Multiply with first and last term.
2 × 5 = 10
Step 3) : Next we have multiply got the answer 10 and subtract or add we have got the answer 7.
1 × 10 = 10 and 10 - 1 = 9 or 10 + 1 = 112 × 5 = 10 and 5 - 2 = 3 or 5 + 2 = 7Now, we have got the term. We have multiply 2 and 5 got the answer 10 and we have add got the answer 7.
Step 4) : Attach the factor into the removal of 7x
2x² + 5x + 2x + 5
Step 5) : Simplify it
2x² + 5x + 2x + 5x(2x + 5) + 1(2x + 5)(2x + 5)( x + 1)Step 6) : We have got the answer
\(\sf \longrightarrow(2x + 5)(x + 1)\)
please help me answer this ty :)
((50+50+50)*85)*0.9=
Answer:
(150*85)*0.9
=12750*0.9
=11475
Answer:
11475
Step-by-step explanation:
((50+50+50)*85)*0.9=
(150*85)*0.9=
12750*0.9=
11475
The graph below shows the eye color for a classroom of students.
Answer:
it is Greater than because blue and green combined equal to 12
PLEASE HELP!
A house is being purchased for $138,000.00. The 30-year mortgage has a 10% down payment, an interest rate of 4.875%, and a PMI payment of $25.88 each month for 77 months. The yearly taxes are $2400.00, and the insurance is $750.00 per year, which is to be placed into an escrow account.
PS:
Answers are NOT the following;
$188,500.00
$129,500.00
$238,600.00
Answer:
i am sure it is number 3 238,600
83,456-728.88 what is the answer
The required answer to the subtraction problem 83,456 - 728.88 is, 82,727.12
What is subtraction?Subtraction is mathematical terminology that helps and elaborates the decrease in the original value by some value.
Here,
To perform the subtraction, you line up the decimal points and subtract the digits in each place value starting from the right. In this case, you subtract 8 from 6, which requires borrowing 1 from the digit to the left, giving you 16 - 8 = 8 in the one's place. You then subtract 2 from 5, giving you 3 in the tenth place. Continuing this process, you get the result of 82,727.12.
Thus, the answer to the subtraction problem 83,456 - 728.88 is, 82,727.12
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answer this please..
Answer:
Answer is 6 because line are parallel
What percentage of the measurements in the data set lie to the right of the median? ___ % What percentage of the measurements in the data set lie to the left of the upper quartile? ___ %
To answer this question, we need to know the median and upper quartile of the data set. Once we have these values, we can determine what percentage of the data falls to the right of the median and to the left of the upper quartile.
Let's say the median of the data set is 50 and the upper quartile is 75. To find the percentage of measurements to the right of the median, we need to look at the data values that are greater than 50 and divide that number by the total number of measurements. Let's say there are 40 data values greater than 50 and a total of 100 measurements.
Then, the percentage of measurements to the right of the median would be:
(40/100) x 100% = 40%
To find the percentage of measurements to the left of the upper quartile, we need to look at the data values that are less than or equal to 75 and divide that number by the total number of measurements. Let's say there are 60 data values less than or equal to 75 and a total of 100 measurements. Then, the percentage of measurements to the left of the upper quartile would be:
(60/100) x 100% = 60%
Your answer:
1. 40% of the measurements lie to the right of the median.
2. 60% of the measurements lie to the left of the upper quartile (Q3).
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A circular rug has a radius of 1 yard. Determine
the area of the rug to the nearest tenth of a
square foot.
1 yard
F. 3.9 ft?
G. 4.9 ft
H. 18.8 ft
J. 28.3 ft?
a. Determine the regression equation from which we can predict the yield of wheat in the county given the rainfall. Narrate your equation in a sentence or two. b. Plot the scatter diagram of raw data and the regression line for the equation. c. Use the regression equation obtained in (a) to predict the average yield of wheat when the rainfall is 9 inches. c. Use the regression equation obtained in (a) to predict the average yield of wheat when the rainfall is 9 inches. d. What percentage of the total variation of wheat yield is accounted for by differences in rainfall? e. Calculate the correlation coefficient for this regression.
a. Regression equation: The regression equation for predicting yield of wheat from rainfall is:y = 14.757 + 5.958 xIt narrates that the predicted yield (y) of wheat in the county is equal to 14.757 plus 5.958 times the rainfall (x).
b. Scatter diagram:The scatter diagram with the regression line for the equation is shown below:
c. Predicting the average yield of wheat when the rainfall is 9 inches:
When the rainfall is 9 inches, we can use the regression equation to predict the average yield of wheat:
y = 14.757 + 5.958 (9) = 68.013
Therefore, the average yield of wheat is predicted to be approximately 68.013 when the rainfall is 9 inches.
d. Percentage of the total variation of wheat yield accounted for by differences in rainfall:
We can find the coefficient of determination (r2) to determine the percentage of the total variation of wheat yield accounted for by differences in rainfall:
r2 = SSR/SST = 23.575/34.8 ≈ 0.678 or 67.8%
Therefore, approximately 67.8% of the total variation of wheat yield is accounted for by differences in rainfall.
e. Correlation coefficient for this regression:
We can find the correlation coefficient (r) as the square root of r2:
r = √r2 = √0.678 ≈ 0.823
Therefore, the correlation coefficient for this regression is approximately 0.823.
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HELPPPPPPPPPPP MEEEEE
Viven's handspan measures 18.5 cm. Estimate the number of times Viven uses her handspan to measure a length of 1 meter 75 cm. Please show how the number of times Viven use her handspan!
75 meters is 175 centimeters
estemate what is 175 ÷ 18.5. It can't be 10 because 18.5 is 185 which is greater than 175, so let's estemate Vivein will have to use het handspan 9 times
For continuous data to be statistically significant, a good rule
of thumb is that there should be at least how many samples?
A. 5
B. 25
C. 50
D. 100
While a common rule of thumb is to have a minimum sample size of 100 for continuous data to be statistically significant, the actual appropriate sample size may vary depending on the specific study design and research question. Option(D)
In statistics, the term "statistical significance" refers to whether an observed effect or relationship in the data is likely to be real and not just due to random chance. To determine statistical significance, we often perform hypothesis testing.
The sample size is a crucial factor in hypothesis testing. A larger sample size generally provides more reliable and precise estimates of population parameters and increases the statistical power of the test. With a larger sample size, even smaller effects or differences between groups can become statistically significant.
While there is no hard and fast rule for the minimum sample size to achieve statistical significance, a common guideline is to aim for at least 30 samples. This guideline is often used in the context of the Central Limit Theorem, which states that the sampling distribution of the sample mean becomes approximately normally distributed with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.
In practice, the appropriate sample size depends on various factors, including the nature of the data, the effect size being studied, the desired level of confidence, and the statistical test used. Researchers often conduct sample size calculations based on these factors before conducting their studies to ensure they have an adequate sample size to achieve meaningful results and detect significant effects if they exist.
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Solve each exercise by using the golden ratio (1 + √5):2.
The ratio of the height : width of a window is equal to the golden ratio.
The width of the door is 36 in. Find the height of the door. Express your
answer in simplest radical form and in inches.
Solve this problem using the golden ratio. Given the golden ratio (1 + √5) : 2 and the width of the door, we will find the height of the door.
Step 1: Write the ratio as a fraction.
The golden ratio can be written as a fraction: (1 + √5) / 2.
Step 2: Set up a proportion.
Let the height of the door be h. Then we can write the proportion:
height : width = (1 + √5) / 2
h / 36 = (1 + √5) / 2
Step 3: Solve for h.
To find the height of the door, we'll cross-multiply and solve for h:
h = 36 * (1 + √5) / 2
Step 4: Simplify the expression.
First, we'll distribute the 36:
h = (36 + 36√5) / 2
Next, we'll divide each term by 2:
h = (18 + 18√5)
So, the height of the door is 18 + 18√5 inches, which is in simplest radical form.
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EFGH is a parallelogram. Find the measure of FG.
4w + 4
E
F
-
3z +8
52- 14
H
G
2 w + 22
The measure of FG is
Answer:
41
Step-by-step explanation:
FG = EH ( being opposite sides of parallelogram)
3z + 8 = 5z - 14
5z - 3z = 8 + 14
2z = 22
z = 11
Now
FG = 3z + 8 = 3 *11 + 8 = 33 + 8 = 41
Hope it will help :)❤
for f(x)=3/8x-7, find f(-16)
The given function is
\(f(x)=\frac{3}{8}x-7\)The expression f(-16) means we have to evaluate the function when x = -16.
\(\begin{gathered} f(-16)=\frac{3}{8}(-16)-7 \\ f(-16)=-3\cdot2-7=-6-7=-13 \end{gathered}\)Therefore, f(-16) is equal to -13.Match each word or phrase with the definition hypothesis null alternative Drag each word into the appropriate place below in order to correctly complete each of the following sentences. A _____ is a statement regarding a characteristic of one or more populations. The _____ ______ is a statement of no change, no effect, or no difference. The _____ ______ is a statement we are trying to find evidence to support. Drag your answer(s) to the correct position
A hypothesis is a statement regarding a characteristic of one or more populations. The null hypothesis is a statement of no change, no effect, or no difference. The alternative hypothesis is a statement we are trying to find evidence to support.
Generally, the null hypothesis expresses that there is no change, no difference, no effect, and in another way, no relationship between the independent and dependent variables. Because we are hypothesizing that nothing is happening, then it is called the null hypothesis.
The null and alternative hypothesis are two conflicting claims which researchers weigh evidence for and against using a statistical test. Null hypothesis (H0) means there is no effect in the population. Meanwhile, alternative hypothesis (Ha or H1) means there is an effect in the population.
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what is 3x+3=6x-57 i need ur help
Answer:
x=20
Step-by-step explanation:
Answer:
x=20
Step-by-step explanation: Sorry the explination is long i got it of a website i use for my math tests.
Simplifying
3x + 3 = 6x + -57
Reorder the terms:
3 + 3x = 6x + -57
Reorder the terms:
3 + 3x = -57 + 6x
Solving
3 + 3x = -57 + 6x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6x' to each side of the equation.
3 + 3x + -6x = -57 + 6x + -6x
Combine like terms: 3x + -6x = -3x
3 + -3x = -57 + 6x + -6x
Combine like terms: 6x + -6x = 0
3 + -3x = -57 + 0
3 + -3x = -57
Add '-3' to each side of the equation.
3 + -3 + -3x = -57 + -3
Combine like terms: 3 + -3 = 0
0 + -3x = -57 + -3
-3x = -57 + -3
Combine like terms: -57 + -3 = -60
-3x = -60
Divide each side by '-3'.
x = 20
Simplifying
x = 20
The box plots show the average wind speeds, in miles per hour, for two different islands.
Average Wind Speeds on Island A
2 box plots. The number line goes from 1 to 11. For the average wind speeds of cities on Island A, the whiskers range from 1 to 9.5, and the box ranges from 3 to 7. A line divides the box at 4. For the average wind speeds of cities on Island B, the whiskers range from 1.5 to 11, and the box ranges from 4 to 9. A line divides the box at 6.
Average Wind Speeds on Island B
Which explains, on a given day, which island is more likely to have a wind speed close to its median?
Island A because the median is closer to one end of the box in the box plot.
Island B because the median is closer to the center of the box in the box plot.
Island A because it has a smaller interquartile range.
Island B because it has a larger interquartile range.
Answer:
B
Step-by-step explanation:
I'm sorry if I'm wrong
Answer:
5
Step-by-step explanation:
meant b haha
Translate the following argument into symbolic form, and use Truth Tables to determine whether the argument is valid or invalid.
If the boss snaps at you and you make a mistake, then he’s irritable. He didn’t snap at you. So he’s not irritable.
The last column evaluates to "T" in all rows. Therefore, the argument is valid since the conclusion always follows from the premises.
Let's assign symbols to represent the statements in the argument:
P: The boss snaps at you.
Q: You make a mistake.
R: The boss is irritable.
The argument can be symbolically represented as follows:
[(P ∧ Q) → R] ∧ ¬P → ¬R
To determine the validity of the argument, we can construct a truth table:
P | Q | R | (P ∧ Q) → R | ¬P | ¬R | [(P ∧ Q) → R] ∧ ¬P → ¬R
---------------------------------------------------------
T | T | T | T | F | F | T |
T | T | F | F | F | T | T |
T | F | T | T | F | F | T |
T | F | F | F | F | T | T |
F | T | T | T | T | F | F |
F | T | F | T | T | T | T |
F | F | T | T | T | F | F |
F | F | F | T | T | T | T |
The last column represents the evaluation of the entire argument. If it is always true (T), the argument is valid; otherwise, it is invalid.
Looking at the truth table, we can see that the last column evaluates to "T" in all rows. Therefore, the argument is valid since the conclusion always follows from the premises.
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3. Are these the hills teen 1 was trying to design? Remember, teen 1 wanted one layer
of three hills, another set of three hills using the same base equation, and one long,
low hill. Find any mistakes that teen 1 made in his design and in the reasoning he
presented when explaining the transformations of the equations. (3 points)
Function transformation involves changing the form of a function
The first mistake in teen 1's design is the x-interceptsThe second mistake in teen 1's design is the transformed functionThe function that represents the three hills is given as:
\(f(x) = (x - 1)(x -3)(x -4)\)
The above function represents the base equation.
When the function is then transformed, we have:
\(g(x) =- (x - 1)(x -3)(x -4) + 3\)
The first mistake in teen 1's design is that, the function f(x) has 3 x-intercepts
For the function to have three peaks, then the function must have three different vertices
A function with three x intercepts will have three zeros.
However, these three zeros does not mean the function has three peaks i.e. three vertices
Also, the transformed function g(x) is simply a reflection of f(x) across the x-axis, and a vertical shift up by 3 units.
This also does not mean that the function has three peaks
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need help with this
Assume the distribution of IQ scores for adults can be modeled with a normal distribution with a mean score of 100 points and a standard deviation of 10 points. 30% of adults will have an IQ score higher than what value?
Step-by-step explanation:
Use z-score table to find the z-score that corresponds to .7000 ( 70%)
approx .525 s.d. above the mean
.525 * 10 = 5.25 points above 100 = 105.25
Crud I need helpzzz 142 divided by _____ = 0.142
12w+10=2(3w+35)
How do I solve this?
Answer:
w = 10
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
12w + 10 = 2(3w + 35)
Step 2: Solve for w
Distribute 2: 12w + 10 = 6w + 70Subtract 6w on both sides: 6w + 10 = 70Subtract 10 on both sides: 6w = 60Divide 6 on both sides: w = 10Step 3: Check
Plug in w to verify it's a solution.
Substitute: 12(10) + 10 = 2(3(10) + 35)Multiply: 120 + 10 = 2(30 + 35)Add: 130 = 2(65)Multiply: 130 = 130Here we see that 130 does indeed equal 130.
∴ w = 10 is a solution of the equation.
Step-by-step explanation:
Solve this equation by isolating for w.
(1 point) in how many ways can 2 ice cream toppings be chosen from 12 available toppings? your answer is :
Answer:
Below
Step-by-step explanation:
12 C 2 = 12! / ( 10! 2!) = 66 ways
log4(x-3) + log4(x+3) =2
Answer:
x=5
Step-by-step explanation:
the answer is choice c
Let f= {(5,5),(8,-8),(-8,5)}. Find (a) f(5) and (b) f(-8).
The given function f(x) is
\(f(x)=\lbrace(5,5),(8,-8),(-8,5)\rbrace\)We need to find
a) f(5)
It means finding the value of the y-coordinate in the ordered pair that has x-coordinate = 5
Look at the function
At x = 5, y = 5 (1st orderd pair), then
f(5) = 5
b) f(-8)
It means finding the value of the y-coordinate in the ordered pair that has x-coordinate = -8
Look at the function
At x = -8, y = 5, (last ordered pair), then
f(-8) = 5
Divide.
1.156÷106
whoever helps me first gets brainlest
Answer: 0.01090566037
Answer: The short answer to this is 0.0109