Answer:
dy = 6x(x²+9)²dx
dy = 291.6
Step-by-step explanation:
We need to use both the power rule and the chain rule to differentiate this function
The power rule states that \(x^{n} = nx^{n-1}\)
The chain rule states that f(g(x)) = f'(g(x)) * g'(x)
For this equation, f(x) = x³ and g(x) = x²+9
Using these two formulas results in the equation:
dy = 6x(x²+9)²dx
Substituting our given values in results in the following answer:
(6(3) * (3²+9)² )(0.05) = 291.6
anwser it pls aaaaaaaassaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
Answer:
Step-by-step explanation:
Volume = Bh
Turn the shape so the trapezoid is on the bottom/base
h=18 for overall shape
B = area of base, trapezoid
B = 1/2 (b₁ + b₂) h
b₁ = 11
b₂ = 25
h = 24 for trapezoid
B = 1/2 (11 + 25)(24)
B = 432
V = Bh
V = (432)(18)
V= 7776 in³
If sin(theta) = - 15/17 ..... what is cos(theta), tan(theta), csc(theta), sec(theta) and cot(theta) ?
so,
cosΘ = adjacent/hypotenuse = 8/17
tanΘ= opposite/ adjacent = 15/8
cosecΘ= hypotenuse/opposite = 17/15
secΘ = hypotenuse/adjacent = 17/8
cotΘ= adjacent/opposite= 8/15
Step-by-step explanation:
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6. Which of the following strategies can
help you solve 4 x 6? Select all that
apply.
(6x6) + (6 x 6)
(4 x 3) + (4 x 3)
(5x5)+(4x 1)
(5x4) + (1x4)
(2x4) + (2x6)
Answer:
(4x3) + (4x3) and (5x4) + (1x4)
Step-by-step explanation:
When you multiply 4 by 3 you get 12. And 12 + 12 is 24. 4 x 6 is 24 so then that is an answer. And 5 by 4 is 20 and 1 x 4 is 4 you add them you get 24.
If (4²)p=4¹⁴,whats the value of p
7
8
12
16
Next
11
Post Test: Mathematical Models and Investments
Select the correct answer from each drop-down menu.
Identify the type of chart described and complete the sentence.
A
chart shows open and close prices and highs and lows, but over a long time period it can also show pricing
Reset
Submit Test
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A candle stick chart shows open and close prices and highs and lows, but over a long time period it can also show pricing trends.
What is a chart?In Mathematics and statistics, a chart is an effective medium that is used to graphically display data in a pictorial form. This ultimately implies that, a chart typically comprises the following elements:
TitleLegendData labelIn Financial accounting and statistics, a candle stick chart can be defined as a type of price chart that is typically used in technical analysis to graphically represent the low, high, open, and closing prices of a derivative, security, or currency, over a specific period of time.
In conclusion, a candle stick chart can display pricing trends over a long time period.
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Complete Question:
Select the correct answer from each drop-down menu. Identify the type of chart described and complete the sentence.
A _____ chart shows open and close prices and highs and lows, but over a long time period it can also show pricing ____
Please help! I have part of the answer but I need help with the slope and understanding the solution space. Thanks!
3. (05.06 MC)
Graph the system of Inequalities presented here on your own paper, then use your graph to answer the following questions:
y > 3x + 10
y<3/4x-1
Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution area. (6 points)
Part B: Is the point (8, 10) Included in the solution area for the system? Justify your answer mathematically. (4 points)
(10 points)
Answer:
Step-by-step explanation:
Given the inequalities as
y>-2x+3
y<1/2x-2
Graph the inequalities on the graph tool
The solution is points in the shaded area such as (2,2),(4,4),(4,2),(2,-2),(2,-4)
The point (-2,3) is not included in the solution area because it is located in the un-shaded area.
Mathematically, taking points (-2,3) into the inequality
y>-2x+3
3>-2(-2) +3
3>4+3
3>7---------------------not correct because 3<7
Find the sum. Express your answer in simplest form.
Answer:
\(\frac{10x^2+3}{y^2+4}\)
Step-by-step explanation:
When adding rational numbers, if the denominator is the same you simply keep the denominator (bottom of fraction) as it is and apply the operation given to the numerator ( top of fraction )
So we have \(\frac{6x^2+5}{y^2+4} +\frac{4x^2-2}{y^2+4} =\frac{(6x^2+5)+(4x^2-2)}{y^2+4}\)
==> remove parenthesis and apply signs
\(\frac{x^2+5+4x^2-2}{y^2+4}\)
==> simplify numerator by combining like terms
\(\frac{10x^2+3}{y^2+4}\)
and we are done!
Note:
like terms are terms with the same variable and exponent
An example of like terms are 6x^7 and 3x^7 as they have x as a variable and a power of 7
The like terms being combined here were (6x² and 4x²) and (5 and -2)
Answer:
\(\frac{10x^{2} +3}{y^{2}+4 }\)
Step-by-step explanation:
\(\frac{6x^{2} +5}{y^{2}+4 } +\frac{4x^{2} -2}{y^{2}+4 }\)
make the common denominator
\(\frac{6x^{2} +5+4x-2}{y^{2}+4 }\)
combone the like terms
\(\frac{10x^{2} +5-2}{y^{2}+4 }\)
subtract numbers
\(\frac{10x^{2} +3}{y^{2}+4 }\)
Please match the following 3 terms to their definitions.
Answer:
See attached
Step-by-step explanation:
Refer to picture
Select all of the following tables which represent y as a function of x
.
The ordered pairs that represents a function y in terms of x are {(-2, -3),(1, 3),(1, 6) (9, 8}, (12, 11)) and {(-3, -5), (3, 2), (6, 5), (7, 9), (10, 16)}
Linear functionsA set of ordered equation represents a linear function if the domain of the coordinates are not repeated.
For instance, the ordered pairs that is a function are the coordinates that do not have any repeated y-coordinates.
From the given linear functions, the ordered pairs that represents a function y in terms of x are {(-2, -3),(1, 3),(1, 6) (9, 8}, (12, 11)) and {(-3, -5), (3, 2), (6, 5), (7, 9), (10, 16)}
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Which equation demonstrates the distributive property? A. 36+ 9 = 45 B. 36 +9 =3 (12+3) C. 36 x9 =9 x 36 D. (12 +3) 3 = 3 (12+3
Answer:
option b
Because 3 can be taken out as a common number which is three vice versa off three the distributive property.
hope it helps ..if not you can reach out to me ....for better defination.
1. Find the equation of a parabola with a focus of (0, -6) and directrix y = 6.
Max points
9514 1404 393
Answer:
(d) y = -1/24x² (b) y = 1/36x²Step-by-step explanation:
1. The point halfway between the focus and directrix is the origin. That is, the vertex of the parabola is the origin. Then its equation can be written ...
y = 1/(4p)x²
where p is the distance from the vertex (origin) to the focus. Here, that distance is -6, so 4p = -24 and the parabola's equation is ...
y = -1/24x²
__
2. Same deal. The vertex is the origin, but this time the focus is above the origin by 9 units. Then the equation is ...
y = 1/36x²
I need help please
Answer:
n=1/3
Step-by-step explanation:
Answer:
There’s no error
Step-by-step explanation:
Factor 21x^2 - 14x - 56
Answer:
7((x-2)(3x+4))
Step-by-step explanation:
Common factor of 7 in this quadratic formula. \(7(3x^2-2x-8)\); -8 * 3x^2 = -24x^2, now find factors of this product that equal to -2x when added. The factors that fit this is -6x and 4x. So, if you make a generic rectangle you can find the product. You get 7((x-2)(3x+4))
Hello,Can you please help me with question# 11 ? it is express each sum using summation notation. Use 'i' as the index of th sum
Given:
The sum of terms
\(4^3+5^3+6^3..........+13^3\)Required:
Find sum.
Explanation:
We know sum of cube of first n terms of natural numbers
\(\sum_{n\mathop{=}1}^{\infty}n^3=[\frac{n(n+1)}{2}]^2\)Now,
\(\begin{gathered} =(1^3+2^3+....+13^3)-(1^3+2^3+3^3) \\ =[\frac{13(13+1)}{2}]^2-36 \\ =8281-36 \\ =8245 \end{gathered}\)Answer:
The sum of terms is 8245.
Can someone help me this is confusing
Goals Scored (per game)
There is a [DROP DOWN 1] association between the amount of goals scored and the number of wins a hockey team has. Most of the data points fall between [DROPDOWN 2] goals scored and [DROPDOWN
3] number of wins. Causation (DROPDOWN 4] be established because their relationship was not in a controlled setting.
There is a Weak positive association between the amount of goals scored and the number of wins a hockey team has. Most of the data points fall between 4 goals scored and 5 number of wins. Causation cannot be established because their relationship was not in a controlled setting.
What is experiment about?When if a relationship between two variables is said to be negative, it is one that does not just necessarily mean that the association is weak. Although though both variables tend to increase in reaction to one another, a weak positive correlation depicts that the relationship is not very strong.
Therefore, even though the data tells us that there is a weak positive relationship that exist between the two variables, it is vital to know that that correlation does not equal causation.
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In which of the following numbers does the 9 have a value that is 1 tenth the value of the 9 in the number 871.953? Select the two correct answers.
The two numbers in the list that have a 9 in the tenth place are the ones that meet the condition of having a 9 with a value that is 1/10th the value of the 9 in 871.953.
What is the tenth place?
The first digit after the decimal represents the tenth place. The next digit after the decimal represents the hundredth place.
The value of a digit in a number is determined by its position in the number. Specifically, each digit represents a certain multiple of a power of 10, depending on its position in the number.
The value of the 9 in the number 871.953 is 9/10 (or 0.9) times the value of the 9 in the number 8719.53 since it is in the tenth place instead of the thousands place.
Therefore, the two numbers in the list that have a 9 in the tenth place are the ones that meet the condition of having a 9 with a value that is 1/10th the value of the 9 in 871.953.
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find the values of the expression below when x = -4 and y= 2 -3x^2y+ 4x
Answer:
20720
Step-by-step explanation:
-3x^2y +4x
-3(-4)^2*2 + 4(-4)
= 12^4 -16
20736 - 16
= 20720
I hope this helped!
Answer:
When x = -4 and y = 2, -3x^(2y) + 4x is -784.
Step-by-step explanation:
-3x^(2y) + 4x
Substitute given variables.
-3(-4)^(2(2)) + 4(-4)
Multiply 2 and 2.
-3(-4)^4 + 4(-4)
Multiply -3 and -4.
Raise -4 to the 4th power.
-3(256) + 4(-4)
Multiply -3 and 256.
-768 + 4(-4)
Multiply 4 and -4
-768 + (-16)
Add -768 and -16.
-784
Suppose that the function g is defined, for all real numbers, as follows. Find g(-5) ,g (-2), and g(-1)
If the function g(x) is defined for all real-numbers, then the value of g(-5) is 7/2, g(-2) is -1 and g(-1) is 0.
A piecewise function is a function that is defined by different rules or formulas on different parts of its domain. The piecewise function "g(x)" is given as :
g(x) = {-(1/2)x + 1, for x<-2
= {-(x+1)², for -2≤x≤1
= {4 for x>1
We have to find the value of g(-5) ,g (-2), and g(-1),
For x = -5, the number -5 is less than -2, so the first function "-(1/2)x + 1" will be used,
⇒ g(-5) = -(1/2)(-5) + 1 = 5/2 + 1 = 7/2,
For x = -2, the number -2 lies in the interval "-2≤x≤1", so second function
"-(x+1)²" will be used,
⇒ g(-2) = -(x+1)² = -(-2+1)² = -(-1)² = -1,
For x = -1, the number -1 lies inn the interval "-2≤x≤1", so second function "-(x+1)²" will be used,
⇒ g(-1) = -(x+1)² = -(-1+1)² = -(0)² = 0,
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Which of these inequalities are equivalent to r > -11? Check all that apply.
-r < 11
3r < -33
3r > -33
-3r < 33
-3r > 33
Answer:
iits A,C,D
Step-by-step explanation:
What is –11 + |-5|-|-15|?
-1
-11
-9
-26
-21
Answer:
-1
Step-by-step explanation:
you would do -11 + (-5) which will be -16. Then do -16 - (-15) which will get you -1.
What is the answer help
Answer: 162°
Step-by-step explanation:
To find the answer to this question, we need to find what 45% of 360 degrees (a circle) is.
First, a percent divided by 100 becomes a decimal.
45% / 100 = 0.45
Next, "of" means multiplication in mathematics.
0.45 * 360 = 162
The central angle will be 162°.
According to Bill Nye, How many people need to be in a room for there to be 50% chance of atleast 2 people having the same birthday?a. 128 b. 56 c. 29 d. 12
Answer:
the answer is actually 23 people
Step-by-step explanation:
Bill Nye's birthday paradox can be explained in the following manner:
first we must find the probability that in a room with 23 people, no two people have the same birthday
probability of no two people having the same birthday = 365/365 x 364/365 x 363/365 x 362/365 ... you keep multiplying until 343/365 = 0.492703
so the probability that in a room with 23 people, no two people have the same birthday = 49.2703%
the probability of two people having the same birthday = 1 - probability of no two people having the same birthday = 1 - 49.2703% = 50.7297%
Calculate the circumference of a circle with a radius of 8 inches.
To calculate the circumference of a circle, you can use the formula:
\(\displaystyle C=2\pi r\)
Where \(\displaystyle C\) represents the circumference and \(\displaystyle r\) represents the radius of the circle.
Given that the radius \(\displaystyle r\) is 8 inches, we can substitute this value into the formula:
\(\displaystyle C=2\pi (8)\)
Simplifying the expression:
\(\displaystyle C=16\pi \)
Thus, the circumference of a circle with a radius of 8 inches is \(\displaystyle 16\pi \) inches.
Note: \(\displaystyle \pi \) represents the mathematical constant pi, which is approximately equal to 3.14159.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
Someone please help and show work
Mean - this is the average. Add up the numbers and divide by the count of the numbers in the data set.
11+13+14+16+17+18+20+20+21+24+25+29 = 228
There are 12 numbers, so divide by 12.
228/12 = 19. The mean is 19.
Median - - - this is the MIDDLE number. Your data is already in numerical order (hooray!) so there are 12 numbers. Since it's even, we'll take the average of the 2 middle numbers. The 6th number is 18 and the 7th number is 20. The average of these is 19. So the median is 19.
(Side note: yes, median and mean can be the same.)
Mode - - - this is repeat/most common numbers! 20 repeats. 20 is the mode.
Range - - - biggest number is 29, littlest is 11. The range is 29-11 = 18.
100 students are interviewed to see which of biology, chemistry or physics they prefer.
59 of the students are girls. 35 of the girls like biology best.
2 of the boys prefer physics.
6 out of the 30 who prefer chemistry are girls.
What percentage of the students prefer biology?
Answer:
50%
Step-by-step explanation:
Girls Boys
total: 59 total: 41
- Chemistry 35 - Physics 2
= 24 = 39
- Chemistry ( 30 - 6 ) 24
= 15
Total boys and girls for Biology = 35 + 15 = 50
% = 50/100*100
= 50%
Hope it helps and also mark it as brainliest!!!!g count the worst-case number of operations performed by the following pseudocode segment. assume that all possible data sets are equally likely. preconditions: x
G count the maximum number of operations that the next pseudocode segment might possibly complete. Assume that the likelihood of all potential data sets is equal. preconditions: x
x(x + 1)/2 = O(x^2)
The pseudocode segment given has two nested for loops. The outer loop is iterating over the variable x, while the inner loop is iterating over variable i. G count the maximum number of operations that the next pseudocode segment might possibly complete. Assume that the likelihood of all potential data sets is equal. Each loop iteration is increasing the variable z by 1. In total, this will result in x*(x+1) / 2 operations being performed. This is equal to O(x^2), which is the worst-case number of operations.
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A loan for $4,000 is given at a 6% interest rate for 2 years. Find the simple interest owed on the loan.
Answer:
I = $ 480.00
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 6%/100 = 0.06 per year,
then, solving our equation
I = 4000 × 0.06 × 2 = 480
I = $ 480.00
The simple interest accumulated
on a principal of $ 4,000.00
at a rate of 6% per year
for 2 years is $ 480.00.
1/8 and 9/5 common denominator and solve the problem
Answer:
Step-by-step explanation:
You haven't stated a problem. Do you want to add the fractions together? Subtract them?
Least common multiple of 8 and 5 is 40.
1/8 = 5/40
9/5 = 72/40
1/8 + 9/5 = 5/40 + 72/40 = 77/40 = 1 37/40
What is the value of the expression?
-16+ 12
(A)-28
(B)-4
(C)4
(D)28
Answer:
-16+12= -4
Step-by-step explanation:
When we mins 12 from 16 (16-12) we get 4.
Similarly. When we minus 16 from 12 (12-16) we get -4 because we choose the sign with the greater number.