Answers
1.
Looks like
[tex]y=2\sqrt[3]{x}+\dfrac1{x^2}+\pi[/tex]
Write [tex]\sqrt[3]{x}[/tex] as a fractional power, [tex]x^{1/3}[/tex]. This makes it more obvious that the power rule should be used here.
[tex]y'=(2x^{1/3})'+(x^{-2})'+\pi'[/tex]
[tex]y'=\dfrac23x^{-2/3}-2x^{-3}[/tex]
[tex]y'=\dfrac2{3\sqrt[3]{x^2}}-\dfrac2{x^3}[/tex]
2.
[tex]y=(\sin(2x)+\tan(3x))^e[/tex]
Power and chain rule:
[tex]y'=\left((\sin(2x)+\tan(3x))^e\right)'[/tex]
[tex]y'=e(\sin(2x)+\tan(3x))^{e-1}(\sin(2x)+\tan(3x))'[/tex]
[tex]y'=e(\sin(2x)+\tan(3x))^{e-1}(\cos(2x)(2x)'+\sec^2(3x)(3x)')[/tex]
[tex]y'=e(\sin(2x)+\tan(3x))^{e-1}(2\cos(2x)+3\sec^2(3x))[/tex]
Related Questions
CAN SOMEONE HELP ME WITH THIS ONE QUESTION PLEASE AND THANK YOU :D
Answers
Answer:
number of wanted outcomes/ amount of different outcomes in total
number of winners/total amount of contestants
Step-by-step explanation:
evaluate
2−(−4)+3+(−6)−(−2)
Answers
The expression evaluates to 5.
To evaluate the expression:
2 - (-4) + 3 + (-6) - (-2)
We can simplify it step by step:
First, we simplify the double negatives:
2 + 4 + 3 + (-6) + 2
Next, we combine like terms:
(2 + 4 + 3 + 2) - 6
Now, we perform addition:
11 - 6 = 5
Therefore, the expression evaluates to 5.
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Determine whether the distribution is a discrete probability distribution. x 0 100 200 300 400 Upper P (x )0 0 0 0 1 Is the distribution a discrete probability distribution? A. Yes comma because the sum of the probabilities is equal to 1. B. Yes comma because the sum of the probabilities is equal to 1 and each probability is between 0 and 1 comma inclusive. C. No comma because the sum of the probabilties is not equal to 1. D. No comma because each probability is not between 0 and 1 comma inclusive.
Answers
Complete Question
Determine whether the distribution is a discrete probability distribution.
xP(x)
0 0.100
1 0.200
2 0.300
3 0.400
Is the distribution a discrete probability distribution?
A. Yes , because the sum of the probabilities is equal to 1.
B. Yes , because the sum of the probabilities is equal to 1 and each probability is between 0 and 1 comma inclusive.
C. No , because the sum of the probabilties is not equal to 1.
D. No , because each probability is not between 0 and 1 comma inclusive.
Answer:
The correct option is B
Step-by-step explanation:
From the question the probabilites are
[tex]p_1 = 0.100[/tex]
[tex]p_2 = 0.200[/tex]
[tex]p_3 = 0.300[/tex]
[tex]p_4 = 0.400[/tex]
The sum of the probability is
[tex]\sum p(x) = 0.100 + 0.200+ 0.300+ 0.400 = 1[/tex]
The (average) sales price for single family property in Seattle and Port Townsend is tabulated below.
Year Seattle Port Townsend
1970 $38,000 $8,400
1990 $175,000 $168,400
Find a linear model relating the year x and the sales price y for a single family property in Seattle.
Answers
Answer:
[tex]y=6,850x - 13,456,500[/tex]
Step-by-step explanation:
To find the linear model, we need to find a linear equation, where its slope is defined as
[tex]m=\frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]
So, we use the given points (1970, 38000) and (1990, 175000), to find the slope
[tex]m=\frac{175,000-38,000}{1990-1970}=\frac{137,000}{20} =6,850[/tex]
Now, we use the point-slope formula to find the equation
[tex]y-y_{1} =m(x-x_{1} )\\y-38000=6850(x-1970)\\y=6850x-13,494,500+38,000\\y=6,850x - 13,456,500[/tex]
Therefore, the linear model is
[tex]y=6,850x - 13,456,500[/tex]
What is the variable for setting an alarm clock
Answers
Answer: The time in which the alarm clock will sound.
Step-by-step explanation:
The variable is something that can change or be changed.
So in the case of the alarm clock, the variable is the number that you select, which is the number (or hour) in which the alarm clock will make noise, because you have total freedom to change it.
Scott ordered 25 commemorative baseballs. The charge for shipping was $1.40 for each baseball. He paid a total of $260. The equation that models this situation is:
25(x + 1.4) = 260
How much did each baseball cost?
Answers
Answer:
$9
Step-by-step explanation:
Answer:
9$
Step-by-step explanation:
What is the quotient
x24 - x18 + x12 ÷ x6
Answers
Answer:
Simplified expression: x^18 - x^12 + x^6
Step-by-step explanation:
1. Let us write down the question at hand, firstly: x^24 - x^18 + x^12/ x^6
2. Let us factor equation x^24 - x^18 + x^12/ x^6 ⇒ x^12(x^12 - x^6 + 1)/ x^6
3. Now apply exponential rules to get x^6 to the numerator:
x^12 - 6(x^12 - x^6 + 1)
4. Simplify this expression to be ⇒ x^6(x^12 - x^6 + 1)
5. And further simplify this expression by distributing the x^6:
Answer: x^18 - x^12 + x^6
What are the zeros of the quadratic function represented by this graph?
Answers
Answer:
Step-by-step explanation:
answer : C when this graph passes trough x-axis
The zeros of the quadratic function are -3 and 1 represented by this graph.
What is a quadratic function?A quadratic function is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
The zeros of the quadratic function can be determined as the intersection of lines or functions on the x-axis only.
The zeros of the quadratic function are -3 and 1.
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Determine the y-intercept of the function.
x = 4y - 6
Answers
Answer:
y = 3/2
Step-by-step explanation:
Answer:
x=4y-6
Geometric figure: Straight Line
Slope = 0.500/2.000 = 0.250
x-intercept = -6/1 = -6.00000
y-intercept = 6/4 = 3/2 = 1.50000
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
x-(4*y-6)=0
Step by step solution :
Step 1 :
Equation of a Straight Line
1.1 Solve x-4y+6 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line x-4y+6 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 3/2 so this line "cuts" the y axis at y= 1.50000
y-intercept = 6/4 = 3/2 = 1.50000
Calculate the X-Intercept :
When y = 0 the value of x is -6/1 Our line therefore "cuts" the x axis at x=-6.00000
x-intercept = -6/1 = -6.00000
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 1.500 and for x=2.000, the value of y is 2.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 2.000 - 1.500 = 0.500 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 0.500/2.000 = 0.250
Geometric figure: Straight Line
Slope = 0.500/2.000 = 0.250
x-intercept = -6/1 = -6.00000
y-intercept = 6/4 = 3/2 = 1.50000
Step-by-step explanation:
A footbridge has a span of 54 feet. A sign is
to be placed exactly halfway across the bridge. How far will the center of the sign be from each end of the bridge?
Answers
Answer:
27
Step-by-step explanation:
Because if it is halfway, that means
halfway=1/2
1/2=1/2 of 54
54/2 or 1/2 of 54=27
PLS MARK ME BRAINLIEST I NEED IT PLEASE
The center of the sign will be 27 feet apart from both ends of the bridge.
Given that,
A footbridge has a span of 54 feet. A sign is to be placed exactly halfway across the bridge. How far will the center of the sign be from each end of the bridge is to be determined.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Here,
Since the bridge is 54 feet long,
Now at the center of the bridge, a sign is placed,
So the distance of sign from both ends is equal to half of the total length of the bridge. i.e.
= 54 / 2
= 27
Thus, the center of the sign will be 27 feet apart from both ends of the bridge.
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877+100=__+258help me
Answers
Answer:
719 = x
Step-by-step explanation:
877+100=_x_+258
Combine like terms
977 = x+258
Subtract 258
977 -258 = x+258-258
719 = x
g(t) = 6t - 1
g ( ) = -7
Answers
Answer:
g(-1) = -7
Step-by-step explanation:
Put the given value for g(t) into the first equation and solve for t.
-7 = 6t -1
-6 = 6t . . . . . . add 1
-1 = t . . . . . . . . divide by 6
g(-1) = -7
Answer: -1
Step-by-step explanation:
Write eight and fifteen hundredths in decimal notation
Answers
Answer:
8.15
Step-by-step explanation:
Answer:
0.08, 0.15
Step-by-step explanation:
The diameter of a cylindrical water tank is 8 ft, and its height is 9 ft. What is the volume of the tank?
Use the value 3.14 for it, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
Answers
Answer:
The volume of the tank is [tex]452\ \text{feet}^3[/tex].
Step-by-step explanation:
We have,
Diameter of a cylindrical water tank is 8 ft
Height of the water tank is 9 ft.
It is required to find the volume of the tank. The volume of a cylindrical shaped object is given by :
[tex]V=\pi r^2h[/tex]
r is radius of cylindrical tank, r = 4 ft
Plugging all the values in above formula,
[tex]V=3.14\times (4)^2\times 9\\\\V=452.16\ \text{feet}^3[/tex]
or
[tex]V=452\ \text{feet}^3[/tex]
So, the volume of the tank is [tex]452\ \text{feet}^3[/tex].
Which of these are characteristics of good experimental design? Check all that apply. Good experimental design uses different methods for trials in an experiment. Good experimental design allows scientists to replicate experiments. Good experimental design tests only one variable at a time. Good experimental design plans how to record data so the data can be published. Good experimental design involves only one trial in an experiment. Good experimental design includes logging every step and data point of the experiment.
Answers
Answer:21
Step-by-step explanation:9+10
Answer:
B,C,D.F
Step-by-step explanation:
A car depreciates at a rate of 15% of its value annually. Carl purchased a new car for $25,000 and wants to know how many years will it take until the car is worth less than $5,000. He uses the equation 25000(0.85) t = 5000. How many years will Carl have until his new car is worth about $5000? Round your answer to the nearest hundredth.
Answers
Answer:
84 bih
Step-by-step explanation:
Giving BRAINLIEST for correct awnser! Factor the expression below.
36a^2-25b^2
Which of the following binomials is a factor of the expression?
A. 4a +25b
B. 4a +5b
C. 6a + 5b
D. 6a + 25b
Answers
Answer:
C. 6a + 5b
Step-by-step explanation:
36a^2-25b^2
Rewriting as
(6a)^2 - (5b)^2
We know this is the difference of squares
(x^2 -y^2) = (x-y)(x+y)
(6a - 5b) (6a+5b)
Answer:
C. 6a + 5b
Step-by-step explanation:
36 is a perfect square, meaning it has two factors that are identical, being 6. 25 is also a perfect square, with its factors being 5, however, in this case, 25 is negative, so we need to have a positive 5 and a negative 5. This gives us:
(6a + 5b) (6a - 5b)
But, the answer choices only have (6a + 5b), so choice, "C," is the answer.
What is the length of AC? Brainliest for right answer
Answers
Answer:
2.3 units
Step-by-step explanation:
Marcus has a life insurance policy that will pay his family $35,000 per year if
he dies. If interest rates are at 2.5% when the insurance company has to pay,
what is the amount of the lump sum that the insurance company must put
into a bank account?
O
A. $1 million
O
B. $350,000
O
C. $1.4 million
O
D. $3.5 million
Answers
The correct answer is $1.4 million
The insurance company must put $1.4 million into a bank account.
What is insurance?Insurance is a way to manage your risk. When you buy insurance, you purchase protection against unexpected financial losses. The insurance company pays you or someone you choose if something bad happens to you.
Given that, Marcus has a life insurance policy that will pay his family $35,000 per year if he dies. the interest rates are at 2.5%, we need to find the amount of the lump sum that the insurance company must put into a bank account,
Considering that the interest is Simple interest,
So, SI = PRT / 100
Here, the interest is 35000, P we need to find, r = 2.5 and T = 1
35000 = 2.5P/100
3500000 = 2.5P
P = 1400000
P = 1.4 millions
Hence, the insurance company must put $1.4 million into a bank account.
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You have 9 pets:
4 fish,
1 cat,
2 dogs
and 2 birds. What is the probability a pet chosen at random is a dog or a four legged pet?
Answers
Answer:
1/3
Step-by-step explanation:
4 fish, 1 cat,2 dogs,and 2 birds = 9
dogs or 4 legged = cats and dogs = 1+2 = 3
P(dog or 4 legged) = number of dogs or 4 legged / total
=3/9
=1/3
Answer:
⅓
Step-by-step explanation:
Total pets:
4+1+2+2 = 9
Dog or four legged pets: 2 + 1 = 3
Probability: 3/9 = 1/3
What does (h,k) standard for in the standard circle equation?
Answers
Answer:It stands for the center of the equation
Step-by-step explanation:
(x-h)^2+(x-k) ^2=r^2
(h, k) stand for the center of the equation
while r stands for the radius
Giving brainliest for CORRECT awnser.
Answers
Answer:
x=8±√35
Step-by-step explanation:
x^2-16x+50=21
Use the formula (b/2)^2 in order to create a new term. Solve for x
by using this term to complete the square.
Exact Form:
x=±√35+8
Decimal Form:
x=13.91607978…,2.08392021…
Pro
Rule: y =
Bla
Pro
Tea
2.5
SA
LE
Stuck? Watch
video or
a hint
Answers
Answer:
explain
Step-by-step explanation:
Which of the following is the image of C after a rotation of 180° about the origin?
A. (-5,2)
B. (-5, -2)
C. (-2,5)
Answers
Answer:
A: (-5,2)
Step-by-step explanation:
algebraically, a 180 rotation about the origin switches the original coordinates of (x,y) to (-x,-y), so the answer would be (-5,2) after plugging the numbers into this formula
Factorise 2y^2 + y + 6xy + 9x - 3
Answers
Answer: (2y+3)(3x+y-1)
Step-by-step explanation:
First regroup the terms.
6xy+9x+2y^2+y-3
Second factor 3x out of 6xy+9x
3x(2y)+9x+2y^2+y-3
3x(2y)+3x(3)+2y^2+y-3
And you get
3x(2y+3)+2y^2+y-3
Third factor by grouping
hurry plz im timed. i have 20 minutes left
Which shows how the distributive property can be used to evaluate 7 times 8 and four-fifths?
56 + StartFraction 28 over 5 EndFraction = 56 + 5 and three-fifths = 61 and three-fifths
56 times StartFraction 28 over 5 EndFraction = StartFraction 1568 over 5 EndFraction = 313 and three-fifths
15 + (StartFraction 35 over 5 EndFraction + four-fifths) = 15 + StartFraction 39 over 5 EndFraction = StartFraction 75 over 5 EndFraction + StartFraction 39 over 5 EndFraction = StartFraction 114 over 5 EndFraction = 22 and four-fifths
15 times (StartFraction 35 over 5 EndFraction + four-fifths) = 15 times StartFraction 39 over 5 EndFraction = StartFraction 15 over 1 EndFraction times StartFraction 39 over 5 EndFraction = StartFraction 585 over 5 EndFraction = 117
Answers
Answer:
First one:
56 + StartFraction 28 over 5 EndFraction = 56 + 5 and three-fifths = 61 and three-fifths
Step-by-step explanation:
7 × 8⅘
7(8) + 7(4/5)
56 + 28/5
56 + 5 + 3/5
61 3/5
Answer:
its A
Step-by-step explanation:
56 + StartFraction 28 over 5 EndFraction = 56 + 5 and three-fifths = 61 and three-fifths
and pls mark me as brainliest if this is correct! :D
Select the correct symbol to compare the rates.
22 miles in 20 minutes 38 miles in 30 minutes
Answers
Answer:
<
Step-by-step explanation:
22/20=1.1
38/30=1.27
Answer:
<
Step-by-step explanation:
The Elster family drove 9.25 hours on the first day of their road trip. How many minutes is this equivalent to?
Answers
Answer:
555 minutes
Step-by-step explanation:
Kitzen has entered a raffle along with other students in her class. The table shows how many raffle tickets each student entered. There will be two winners to the raffle. What is the probability that Kitzen’s name will be drawn twice? Use a / to represent a fraction bar.
Answers
Answer:
12/48=1/4(Simplified)
Step-by-step explanation:
The probability that Kitzen’s name will be drawn twice is 1/23.
What is the probability?"The probability is the ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes".
For the given situation,
The table shows the number of students and the number of raffle tickets.
Kitzen's number of raffle tickets = 12
Ava's number of raffle tickets = 16
Sam's number of raffle tickets = 11
Josie's number of raffle tickets = 9
The event is that the Kitzen’s name will be drawn twice, n(e) = 2(12)
The total number of raffle tickets, n(s) = 48
Thus the probability that Kitzen’s name will be drawn twice,
[tex]P(e)=\frac{n(e)}{n(s)}[/tex]
⇒ [tex]P(e)=\frac{2(12)}{48}[/tex]
⇒ [tex]P(e)= \frac{1}{2}[/tex]
Hence we can conclude that the probability that Kitzen’s name will be drawn twice is 1/23.
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The function Fx) = log5 xis increasing.
Answers
Answer:
Yes
Step-by-step explanation:
If F(x)= log base 5 of x, then yes, it is increasing.
Answer: True
Step-by-step explanation: Got it correct on a-p-e-x
