Answer:
dy/dx = 6x(x²-3)cos2x - 2(x²-3)³sin2x
Step-by-step explanation:
We use the Product Rule:
y= (x²-3)³cos2x
dy/dx = (x²-3)³ d(cos2x)/dx + cos2x * d ((x²-3)³)/dx
= (x²-3)³ * -2sin2x + cos2x * 3(x²-3)*2x
= -2sin2x*(x²-3)³ + 6xcos2x*(x²-3)
= 6x(x²-3)cos2x - 2(x²-3)³sin2x
...........................................................
Answer:
55
Step-by-step explanation:
‼️ See Picture ‼️Select the reason that best supports Statement 5 in the given proof.
The reason that best supports statement 5 is: B. multiplication property of equality.
What is the Multiplication Property of Equality?When you multiply both sides of an equation by the same quantity, you have applied the multiplication property of equality.
In statement 5, both sides of the equation was multiplied by 2. Therefore, the best reason is: B. Multiplication Property of Equality.
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-. The side views of two different ramps are shown below. Which is a true
tatement about the slope of the ramps?
The statement that is true about the slope of the ramps is: A. Slope of ramp A = slope of ramp B.
What is the Slope?Slope = gradient = rise / run = vertical distance / horizontal distance.
Slope of the side view of ramp A = rise / run = 20 / 30 = 2/3.
Slope of the side view of ramp B = rise / run = 14 / 21 = 2/3.
The slope of A = slope of B = 2/3
The statement that is true of the slopes of both ramps is therefore: A. Slope of ramp A = slope of ramp B.
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A school nutritionist wanted to Determine which type of lunch was most popular to do this she kept track of the number of each top of lunch sold to the students in one day how many more burger lunches than chicken lunches for salt
A ratio shows us the number of times a number contains another number. The number of students the cafeteria should expect to buy chicken is 260.
What is a Ratio?A ratio shows us the number of times a number contains another number.
The ratio of the number of students to the number of total students can be written as,
Ratio = (Number of students)/(Number of total students)
Ratio = 52/(52+26+30+48+44) = 52/200
Now, the same ratio is applicable to 1000 students, therefore, the ratio will be,
Number of students who prefer burgers= 1000 × (52/200) = 260
Hence, the number of students the cafeteria should expect to buy chicken is 260.
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Your supposed to try and find X. I got 20 with trial and error and it fits but I’m not sure if that’s the right answer or how to get it
Answer:
x = 20
Step-by-step explanation:
The problem tells you the relationship between time, distance, and speed. Use the given relations to find the total journey time.
__
equationtotal time = Journey A time + Journey B time
total time = (distance A)/(speed A) + (distance B)/(speed B)
total time = 15/x +6/(x+4) = 1 . . . . . using the given values
solutionMultiplying by x(x+4) we have ...
15(x +4) +6(x) = (x)(x +4)
21x +60 = x² +4x
x² -17x -60 = 0 . . . . . rearrange to standard form
(x -20)(x +3) = 0 . . . . factor the equation
x = 20 or x = -3 . . . values of x that satisfy the equation
We know the speed must be positive, so x = -3 is an extraneous solution.
The value of x is 20 (km/h).
pls someone help, my he is due by tonight
Answer:
I hope it helps................
Customers who join a store's rewards program are invited to spin a wheel and earn a prize. The wheel is divided into eight same-sized sections, and three of those sections represent winning a gift certificate. Assuming the wheel is fair, approximately how many gift certificates are likely to be won if 528 customers spin the wheel?
A. 198 gift certificates
B. 176 gift certificates
C. 144 gift certificates
D. 66 gift certificates.
Please show your work and tell me how you figured it out.
Answer:
A. 198 gift certificates.
Step-by-step explanation:
The probability of winning on a single spin = 3/8.
Number of expected winners
= 528 * 3/8
= 66 * 3
= 198.
8. In the diagram, the measure of the arc from A to B not
passing through C is 80 degrees. What is the measure of
angle ACB?
A. 20 degrees
B. 40 degrees
C. 80 degrees
D. 160 degrees
The measure of the angle ∠ABC will be 40 degrees. Then the correct option is B.
What is a circle?It is the centre of an equidistant point drawn from the centre. The radius of a circle is the distance between the centre and the circumference.
In the diagram, the measure of the arc from A to B not passing through C is 80 degrees.
Then the measure of angle ACB will be
We know that Angles subtended by the very same arc at any position on the circular path are half of the angles subtended by the very same arc at the centre.
Then we have
2∠ABC = ∠AOB
2∠ABC = 80°
∠ABC = 40°
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Please help and thank you!
x=[?]
Answer:
10 = x
Step-by-step explanation:
I believe <B = <E.
<B = 50 = <E = 5x
50 = 5x
10 = x
DISCRETE MATH! ANSWER ALL
(a) f(0) in the given function in mod 5 is 2.
(b) f(1) in the given function in mod 5 is 2.
(c) f(2) in the given function in mod 5 is 3.
(d) f(3) in the given function in mod 5 is 1.
(e) f(4) in the given function in mod 5 is 2.
Value of the function in mod 5The given function is defined as follows;
f(x) = (x³ + 4x + 2) mod 5
f(0) = (0 + 0 +2) = 2 in mod 5 (0 remainder 2) = 2
f(1) = (1 + 4 + 2) = 7 in mod 5 (1 remainder 2) = 2
f(2) = (2³ + 4(2) + 2) = 18 in mod 5 (3 remainder 3) = 3
f(3) = (3³ + 4(3) + 2) = 41 in mod 5 (8 remainder 1) = 1
f(4) = (4³ + 4(4) + 2) = 82 in mod 5 (16 remainder 2) = 2
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if f (1) =5 and f (n) = 5f (n-1) + 5 then find the value of f (3)
Using the given functions, the value of f(3) is 155
From the question, we are to determine the value of f(3) using the given function.
The given function is
f(n) = 5f(n-1) + 5
To determine the value of f(3),
First, we will determine the value of f(2)
From the given function
f(n) = 5f(n-1) + 5
We can find f(2) as shown below
f(2) = 5f(2-1) + 5
f(2) = 5f(1) + 5
From the given information,
f(1) = 5
∴ f(2) = 5(5) + 5
f(2) = 25 + 5
f(2) = 30
Now, we can determine f(3)
Also, from the given function
f(n) = 5f(n-1) + 5
Then,
f(3) = 5f(3-1) + 5
f(3) = 5f(2) + 5
Substituting the value of f(2) into the equation, we get
f(3) = 5(30) + 5
f(3) = 150 + 5
f(3) = 155
Hence, the value of f(3) is 155
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Decimal’s I can’t understand it
Answer:
In Mathematics, the numbers can be classified into different types, namely real numbers, natural numbers, whole numbers, rational numbers, and so on. Decimal numbers are among them
Types of Decimal Numbers
Decimal Numbers may be of different kinds, namely
Recurring Decimal Numbers (Repeating or Non-Terminating Decimals)
Example-
3.125125 (Finite)
3.121212121212….. (Infinite)
Non-Recurring Decimal Numbers (Non Repeating or Terminating Decimals):
Example:
3.2376 (Finite)
3.137654….(Infinite)
Decimal Fraction- It represents the fraction whose denominator in powers of ten.
Example:
81.75 = 8175/100
32.425 = 32425/1000
Converting the Decimal Number into Decimal Fraction:
For the decimal point place “1” in the denominator and remove the decimal point.
“1” is followed by a number of zeros equal to the number of digits following the decimal point.
For Example:
8 1 . 7 5
↓ ↓ ↓
1 0 0
81.75 = 8175/100
8 represents the power of 101 that is the tenths position.
1 represents the power of 100 that is the units position.
7 represents the power of 10-1 that is the one-tenths position.
5 represents the power of 10-2 that is the one-hundredths position.
So that is how each digit is represented by a particular power of 10 in the decimal number.
The strip below is cut into 9 equal bars.
Shade 2/3 of this strip.
Answer:
Shade 6 bars.
Step-by-step explanation:
You are asked to shade 2/3 of the strip. It is given that the strip has 9 equal parts. Multiply the number and fraction together:
[tex]9 * \frac{2}{3} = \frac{9}{1} * \frac{2}{3} = \frac{9 * 2}{1 * 3} = \frac{18}{3} = 6[/tex]
You will shade 6 of the 9 bars given.
~
Question 10 of 10
In order to solve the following system of equations by subtraction, which of
the following could you do before subtracting the equations so that one
variable will be eliminated when you subtract them?
4x - 2y=7
3x - 3y=15
A. Multiply the top equation by 15 and the bottom equation by 7.
B. Multiply the top equation by-3 and the bottom equation by 2.
O C. Multiply the top equation by 3 and the bottom equation by 4.
Can someone help me
Answer:
B. Multiply the top equation by-3 and the bottom equation by 2.
Step-by-step explanation:
-3(4x-2y=7)
2(3x-3y=15)
-12x + 6y= -21
6x - 6y = 30
6y and -6y both cancel each other out which gives us 0 when -3 is multiplied by the top and the bottom is multiplied by 2, which gives us the answer B.
D. 40
E. 44
8. A CD and a DVD cost $31. If a CD
a
and two DVD's cost $50, then how
much does a CD cost?
F. $ 9
G. $11
H. $12
J. $15
Answer:
The correct answer is $12
Step-by-step explanation:
To check, subtract 12 from 31
31 - 12 =19
Multiply 19 by 2
19 x 2 =38
Add 12
38 + 12 =50
From this data, how many male, female, adult, and baby mountain goats do you predict are in the park
Answer:
See below ~
Step-by-step explanation:
Part A
Male elk = 105/450 = 7/30Female elk = 120/450 = 4/15Adult elk = 173/450Baby elk = 52/450 = 26/225Part B
Male elk = 7/30 = 0.233 = 23.3%Female elk = 4/15 = 0.267 = 26.7%Adult elk = 173/450 = 0.384 = 38.4%Baby elk = 26/225 = 0.116 = 11.6%Help me please attachment: one image
Answer:
120 degrees.
Step-by-step explanation:
360 * 1/3 = 120
can you please answer and explain this question
Answer:
mean: 106900
median: 8500
mode: 7,000, 8,000, and 11,000
Step-by-step explanation:
To calculate mean, add them all together and divide the number of how many numbers it has. For median make out the sequence from small to large. For this one is 5,000, 7, 000, 7,000, 8,000, 8,000, 9,000, 10,000, 11,000, 11,000, 1,000,000. The middle is between 8,000 and 9,000 so find it's middle number. The mode is the number that appears the most. In this case 7,000, 8000, 11,000 all appeared twice so they are the mode.
Select all the correct answers. Which expressions are equivalent to the given expression? √40
Answer:
2√10
Step-by-step explanation:
√40=√4 x 10
2√10
Help me please this is confusing
Answer:
40/8
Step-by-step explanation:
last one i think
Please help me do this assignment
I hope this will help you a lot..
Answer:
(30x⁴+36x²y⁴)+(36x⁴y²+30xy⁴).
Step-by-step explanation:
x⁶+3x⁴y⁴+xy⁶
1) df/dx=6x⁵+12x³y⁴+y⁶; d²f/dx²=30x⁴+36x²y⁴;
d²f/(dxdy)=48x³y³+6y⁵ (note, d²f/(dxdy)=d²f/(dydx) !!);
df/dy=12x⁴y³+6xy⁵; d²f/dy²=36x⁴y²+30xy⁴;
2) finally
(30x⁴+36x²y⁴)+(36x⁴y²+30xy⁴).
Pls hurry need done soon no bots Find the area
Answer:
12
Step-by-step explanation:
Split into 2 shapes, the to find the area of the triangle you multiply base×height divided by 2.
4×3=12
12/2=6
after that find the area of the rectangle
2×3=6
add the area's together
6+6=12
PLS HELP ME ASAP I NEED HELP RN PLS WHOEVER ANSWERS IS THE BRAINLIEST
Madeline scored 75 and 80 on her first two exams. What score does she need to achieve on the third exam in order to earn an average of 85?
Answer:
100
Step-by-step explanation:
She wants to average 85, so adding ALL three of her scores, divided by 3 needs to equal 85.
(75 + 80 + x)/3 = 85
Times by 3.
75 + 80 + x = 255
155 + x = 255
subtract 155.
x = 100
She needs 100 on the third test.
A normally distributed data set has a mean of 0 and a standard deviation of 2. Which of the following is closest to the percent of values between -4.0 and 2.0?
please help will give brainlist!!!
A normally distributed data set has a mean of 0 and a standard deviation of 2. The closest to the percent of values between -4.0 and 2.0 would be 84%.
What is the empirical rule?According to the empirical rule, also known as the 68-95-99.7 rule, the percentage of values that lie within an interval with 68%, 95%, and 99.7% of the values lies within one, two, or three standard deviations of the mean of the distribution.
[tex]P(\mu - \sigma < X < \mu + \sigma) \approx 68\%\\P(\mu - 2\sigma < X < \mu + 2\sigma) \approx 95\%\\P(\mu - 3\sigma < X < \mu + 3\sigma) \approx 99.7\%[/tex]
A normally distributed data set has a mean of 0 and a standard deviation of 2.
[tex]Z=(x-\mu)/\sigma[/tex]
[tex]P(x=-0.4)\\\\z=(-0.4-0)/2\\\\= -0.2\\\\P(x=2)\\z=(2-0)/2\\\\=1[/tex]
[tex]P(-0.4 < x < 2)=p(-0.2 < z < 1)=p(-0.2 < z < 0)+p(0 < z < 1)[/tex]……….(by symmetry)
=.49865+.3413
.83995…….(by (http://83995…….by) table value)
=.8400 × 100
=84%
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If you know that a student receives financial aid,
what is the probability that the student is a
graduate student?
Answer: Answer:
The probability that a given student is a graduate, given that he or she is on financial aid, is 30.8%.
Step-by-step explanation:
To determine what is the probability that a given student is a graduate, given that he or she is on financial aid, the following calculation must be performed:
6101 = 100
1879 = X
1879 x 100/6101 = X
187,900 / 6101 = X
30,798 = X
Therefore, the probability that a given student is a graduate, given that he or she is on financial aid, is 30.8%.
Step-by-step explanation:
In terms of the number of marked mountain goats, what is the relative frequency for male goats, female goats, adult goats, and baby goats? Write your answers as simplified fractions.
Elk Mountain Goat Deer Moose
Male 105 71 42 52
Female 120 93 63 34
Adult 173 103 72 58
Baby 52 61 33 28
Answer:
The answer is below.
Step-by-step explanation:
Elk: Total elk is 225
Males: [tex]\frac{105}{225}=\frac{7}{15}[/tex]Females: [tex]\frac{120}{225}=\frac{8}{15}[/tex]Adults: [tex]\frac{173}{225}[/tex]Baby: [tex]\frac{52}{225}[/tex]Mountain Goat: Total Goat is 164
Males: [tex]\frac{71}{164}[/tex]Females: [tex]\frac{93}{164}[/tex]Adults: [tex]\frac{103}{164}[/tex]Baby: [tex]\frac{61}{164}[/tex]Deer: Total Deer is 105
Males: [tex]\frac{42}{105}[/tex]Females: [tex]\frac{63}{105}[/tex]Adults: [tex]\frac{72}{105}[/tex]Baby: [tex]\frac{33}{105}[/tex]Moose: Total Moose is 86
Males: [tex]\frac{52}{86}=\frac{26}{43}[/tex]Females: [tex]\frac{34}{86}=\frac{17}{43}[/tex]Adults: [tex]\frac{58}{86}=\frac{29}{43}[/tex]Baby: [tex]\frac{28}{86}=\frac{14}{43}[/tex]6) In a shipment of 150 televisions, 11 are defective. If a person buys three televisions from that
shipment, what is the probability that they are all defective?
Answer:
0.03%
Step-by-step explanation:
[tex]\frac{11}{150}(\frac{10}{149})(\frac{9}{148})[/tex]
≈ 0.03%
find the prime factorization of the following number 252?
Answer:
2,3,7 are the prime factorization of number of 252
Hi Student!
Prime factorization is the process of stripping down a number to it's basic elements. We take a number and bring it down the most we can. For example we take 4 and make it 2 x 2. In this case we are given a number of 252 so we can began by dividing by 2.
[tex]252 / 2[/tex]
[tex]126[/tex]
Looking at the numbers that we have now, 126 x 2, we can see that 126 can still be divisible by another 2 so lets do that again.
[tex]126 / 2[/tex]
[tex]63[/tex]
Now, looking at the numbers that we have, 63 x 2 x 2, we see that we can no longer divide it by a 2 because 63 is not divisible by 2. However, we can divide 3 away from the number so lets do that.
[tex]63 / 3[/tex]
[tex]21[/tex]
Once again, looking at the numbers that we have, 21 x 3 x 2 x 2, we see that we can once again divide a 3 away from our first number so lets do that again.
[tex]21 / 3[/tex]
[tex]7[/tex]
Finally, we have come down to the last line where our final elements are 7 x 3 x 3 x 2 x 2. This is our prime factorization of the number 252 and this is where we can conclude our solution seeking.
What number (X) comes next in the series (17, 9, 18, 7, 19, 5, 20, X)
Answer:
x = 3
Step-by-step explanation:
The pattern is that every other number increases by 1, while the next decreases by 2
1. 17,18,19,20
2. 9,7,5,x
5-2 =3
3 is the answer.
Solutions:
Odd Terms: 17, 18, 19, 20
Find the common difference.
d = a₂ - a₁
d = 18 - 17
d = 1
Thus, for every odd term, the next terms are derived by adding 1.
Even Terms: 9, 7, 5, x
Find the common difference.
d = a₂ - a₁
d= 7 - 9
d = -2
Find x.
x = 5 + d
x = 5 + (-2)
x = 5 - 2
x = 3
Therefore, x = 3.
What is a sequence?In an arithmetic sequence, a term is obtained by adding a constant number to the preceding term. A sequence whose succeeding terms are obtained by adding a constant. Constant is called the common difference. Formula is a_n = a₁ + d(n - 1). The common difference is obtained by subtracting the first term from the second term.
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Find the mean and standard deviation for the data set
{6, 8, 7, 5, 10, 6, 9, 8, 4}
Please SHOW steps for everything
Answer:
See below
Step-by-step explanation:
The mean is simply adding up each data value and dividing your result by the number of data values:
[tex]\text{Mean}=\frac{6+8+7+5+10+6+9+8+4}{9}=\frac{63}{9}=7[/tex]
The standard deviation is calculated through finding the sum of the squared differences between the mean and each data point, and dividing that result by the number of data values, which we then take the square root of:
[tex]\text{Standard Deviation}=\sqrt{\frac{(6-7)^2+(8-7)^2+(7-7)^3+(5-7)^2+(10-7)^2+(6-7)^2+(9-7)^2+(8-7)^2+(4-7)^2}{9}}=\sqrt{\frac{10}{3}}\approx1.8257[/tex]
What this value means is that each data point is spread about 1.8257 apart from the mean. Standard deviation describes how dispersed the data is in relation to the mean.