Step-by-step explanation:
Let [tex]y(x)=f(x)g(x)h(x)[/tex] where
[tex]f(x) = x^4[/tex]
[tex]g(x)= (1 -2x^5)^6[/tex]
[tex]h(x)= (5 - 8x^3)^2[/tex]
so that
[tex]y(x) = x^4(1 -2x^5)^6(5 - 8x^3)^2[/tex]
Recall that the derivative of the product of functions is
[tex]y'(x)=f'(x)g(x)h(x)+f(x)g'(x)h(x)+f(x)g(x)h'(x)[/tex]
so taking the derivatives of the individual functions, we get
[tex]f'(x) = 4x^3[/tex]
[tex]g'(x) = 6(1 - 2x^5)^5(-10x^4)[/tex]
[tex]h'(x) = 2(5 - 8x^3)(-24x^2)[/tex]
So the derivative of y(x) is given by
[tex]y'(x) = 4x^3(1 -2x^5)^6(5 - 8x^3)^2 + x^4 6(1 -2x^5)^5(-10x^4)(5 - 8x^3)^2 + x^4(1 -2x^5)^6 2(5 - 8x^3)(-24x^2)[/tex]
or
[tex]y'(x) = 4x^3(1 -2x^5)^6(5 - 8x^3)^2[/tex]
[tex]\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:- 60x^8(1 -2x^5)^5(5 - 8x^3)^2[/tex]
[tex]\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:- 48x^6(1 -2x^5)^6 2(5 - 8x^3)[/tex]
What is the correct answer to this problem?
Answer:
Y=51.34019175
Step-by-step explanation:
We first use Pythagoras theorem to find the hypo...
[tex] \sqrt{ {8 }^{2} + {10}^{2} } = 12.8062487[/tex]
After we use sine rule
12.8062487/sin90 = 10/siny
Sin y=10sin90/12.8062487
Y=51.34019175
Calculamos el volumen (V) de un prisma cuadrangular expresado en unidades cúbicas. Respondemos: ¿cómo se calcula?........................... entonces, la expresión para calcular el volumen es: V = ……………………
Answer:
a) El procedimiento queda resumido en lo que sigue:
1) Se halla el área de la base del cuadrilátero.
2) Se multiplica el resultado anterior por la longitud del prisma.
b) La expresión para calcular el volumen del prisma ([tex]V[/tex]), en unidades cúbicas, es:
[tex]V = w\cdot h \cdot l[/tex]
Donde:
[tex]w[/tex] - Ancho de la base, en unidades.
[tex]h[/tex] - Altura de la base, en unidades.
[tex]l[/tex] - Longitud del prisma, en unidades.
Step-by-step explanation:
a) Dimensionalmente hablando, la unidad de volumen es igual al cubo de la unidad de longitud. Se explica a continuación los pasos necesarios para el cálculo de prisma cuadrangular:
1) Se halla el área de la base del cuadrilátero.
2) Se multiplica el resultado anterior por la longitud del prisma.
b) En consecuencia, se deriva la expresión para el volumen del prisma:
[tex]V = A\cdot l[/tex] (1)
Donde:
[tex]A[/tex] - Área de la base del prisma, en unidades cuadradas.
[tex]l[/tex] - Longitud del prisma, en unidades.
[tex]V = w\cdot h \cdot l[/tex] (2)
Donde:
[tex]w[/tex] - Ancho de la base, en unidades.
[tex]h[/tex] - Altura de la base, en unidades.
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!
Answer:
50 %
Step-by-step explanation:
Please mark me as the brainlist
Answer:
answer is 37.5%
Step-by-step explanation:
the only prime numbers after adding are
4+9= 13
4+7=11
3+8=11
place the sum # of prime numbers over the total some of numbers
3÷8= 0.375
now multiply by 100 to give you in percentage
0.375 x 100% = 37.5%
Helpppppppppppppp:))))
Given:
Principal value = $1500
Rate of interest = 7% per annum compounded daily
Time = 2 years.
To find:
The amount after 2 years.
Solution:
Formula for amount:
[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]
Where, P is principal, r is the rate of interest in decimals, n is the number of time interest compounded in an year and t is the number of years.
We know that 1 year is equal to 365 days and the interest compounded daily. So, n=365.
Substituting [tex]P=1500,\ r=0.07,\ n=365,\ t=2[/tex] in the above formula, we get
[tex]A=1500\left(1+\dfrac{0.07}{365}\right)^{365(2)}[/tex]
[tex]A=1500\left(\dfrac{365+0.07}{365}\right)^{730}[/tex]
[tex]A=1500\left(\dfrac{365.07}{365}\right)^{730}[/tex]
Using calculator, we get
[tex]A\approx 1725.39[/tex]
The amount after two years is $1,725.39. Therefore, the correct option is (c).
COLOR THEME
Q ZOOM
7. The dimensions in the drawing below are given in units.
3V10
х
36
Р
118
S
R
90
18V5
What is the value of x?
45
CLEAR ALL
Given:
In triangle PQR, QS⊥PR, QS=x, PR=90 and RS=18.
To find:
The value of x.
Solution:
According to right triangle altitude theorem (geometric mean theorem), if an altitude of a right triangle divides the base into two segments then the square of altitude is equal to the product segments of the base.
Using right triangle altitude theorem, we get
[tex]\dfrac{QS}{PS}=\dfrac{RS}{QS}[/tex]
[tex]QS^2=RS\times PS[/tex]
[tex]x^2=18\times (90-18)[/tex]
[tex]x^2=18\times 72[/tex]
[tex]x^2=1296[/tex]
Taking square root on both sides, we get
[tex]x=\sqrt{1296}[/tex]
[tex]x=36[/tex]
Therefore, the correct option is B.
Giving out brainliestttt answer !!! help me out?!!!
Answer:
F= 60.256
D = 29.744
Step-by-step explanation:
This is a completely different from the way usually I do it
B = arcsin(b·sin(A)a)
= 1.05166 rad = 60.256°
180-60.256-90 = 29.744°
Which point on the x-axis lies on the line that passes point C and is parallel to line AB
Answer:
(2,0)
Step-by-step explanation:
What is the horizontal distance between (−5/3, -2) and (4, -2)?
ANSWER QUICK GIVING BRAIN LEST
Answer:
-2?
Step-by-step explanation:
use y2-y1 over x2-x1 to find the answer. So you would do -2--5/3 over 4--2. The two negitives turn into a positive. SO it is now -2+5/3 over 4+2. -2+5/3= -1/3 over 4+2=6 it is now -1/3/6 which equals -2. So I think the answer is -2. I do not know if you should trust me on this but I tried.
What is the slope of the line containing (-3, 1) and (1, -2
Answer:
-3 on 4
Step-by-step explanation:
slop is given by change in y coordinate over change in x coordinate
a) Two thirds of the class are freshman
Is it parameter or statistic
Answer:
parameter
Step-by-step explanation:
Hakim is making birdhouses. Each birdhouse uses 78 yard of wood.
What is the total length of wood Hakim will need to build 5 birdhouses?
A. 438 yards
B. 578 yards
C. 148 yards
D. 928 yards
Answer:
390 yds
Step-by-step explanation:
Take the amount of wood per birdhouse and multiply by the number of birdhouses being made
78 * 5 =390 yds
Answer:
390 yds
Step-by-step explanation:
Take the amount of wood per birdhouse and multiply by the number of birdhouses being made
78 * 5 =390 yds
Hope this helps!!!
all the cubes root of
[tex] \sqrt{3 + i} [/tex]
If you're looking for the cube roots of √(3 + i ), you first have to decide what you mean by the square root √(…), since 3 + i is complex and therefore √(3 + i ) is multi-valued. There are 2 choices, but I'll stick with 1 of them.
First write 3 + i in polar form:
3 + i = √(3² + 1²) exp(i arctan(1/3)) = √10 exp(i arctan(1/3))
Then the 2 possible square roots are
• √(3 + i ) = ∜10 exp(i arctan(1/3)/2)
• √(3 + i ) = ∜10 exp(i (arctan(1/3)/2 + π))
and I'll take the one with the smaller argument,
√(3 + i ) = ∜10 exp(i arctan(1/3)/2)
Then the 3 cube roots of √(3 + i ) are
• ∛(√(3 + i )) = ¹²√10 exp(i arctan(1/3)/6)
• ∛(√(3 + i )) = ¹²√10 exp(i (arctan(1/3)/6 + π/3))
• ∛(√(3 + i )) = ¹²√10 exp(i (arctan(1/3)/6 + 2π/3))
On the off-chance you meant to ask about the cube roots of 3 + i, and not √(3 + i ), then these would be
• ∛(3 + i ) = ⁶√10 exp(i arctan(1/3)/3)
• ∛(3 + i ) = ⁶√10 exp(i (arctan(1/3)/3 + 2π/3))
• ∛(3 + i ) = ⁶√10 exp(i (arctan(1/3)/6 + 4π/3))
Find the missing probability
P(A) = 0.8
P(B) = 0.05
P(A or B) = 0.6
P(A and B) =
Answer:
2
Step-by-step explanation:
natally needs to cut a pice of paper so that she has exactly 1/3 of it.if the length of the paper is 11 inches, how long will be the paper if she cuts . help me please
Answer:
3 [tex]\frac{2}{3}[/tex] inches long
Step-by-step explanation:
Find how long the paper will be by dividing 11 by 3. This will find how much 1/3 of the 11 inch paper is.
11/3
= 3 [tex]\frac{2}{3}[/tex]
So, if she cuts the paper, the paper will be 3 [tex]\frac{2}{3}[/tex] inches long
Part A
Will be marked brainliest
Monique’s group will design a float for the I love my city parade. They plan to highlight the city’s train system by making a float of the MetroPass.
*SEE PICTURES FOR ACTUAL MEASURES*
The actual MetroPass is 2.1 inches wide and 3.4 inches long. Moniques group wants the MetroPass float to be 74.8 ft long. Her group needs to find the width of the MetroPass float.
How wide, in feet, will the MetroPass float be? Round you answer to the nearest tenth. Show your work.
*WILL BE MARKED BRAINLIEST*
Answer:
74.8 ft÷3.4 inches=264
2.1 in x 264=46.2 inches so the width should be 46.2 inches
guys i need so so so help :(((((( thankss
Answer:
38,78461
Step-by-step explanation:
The triangle is composed by two right triangles. the sum of inner angles of a triangle is 180 degrees. If we look at the right one we can say that it’s top angle is 60 degrees. In fact 30 + 60 + 90 = 180
So also the top angle of the biggest triangle is right:
60 + 30 = 90
We can also say that the leg of that triangle on left that lies on the hypotenuse is half of its hypotenuse thanks to the its angles.
Thanks to these informations we can use a theorem, called first Euclid’s theorem that allow us to build a proportion:
6 : 12 = 12 : hypotenuse
6 * hypotenuse = 144
hypotenuse = 24
x = 24 - 6 = 18
For the same theorem:
18 : y = y : 24
y^2 = 432
y = 20,78461
18 + 20,78461 = 38,78461
Suppose we are interested in bidding on a piece of land and we know one other bidder isinterested. The seller announced that the highest bid in excess of $10,000 will be accepted.Assume that the competitor’s bid x is a random variable that is uniformly distributedbetween $10,000 and $15,000.a. Suppose you bid $12,000. What is the probability that your bid will be accepted?b. Suppose you bid $14,000. What is the probability that your bid will be accepted?c. What amount should you bid to maximize the probability that you get theproperty?d. Suppose you know someone who is willing to pay you $16,000 for the property. Wouldyou consider bidding less than the amount in part (c)? Why or why not?
Answer:
a. 0.4 = 40% probability that your bid will be accepted
b. 0.8 = 80% probability that your bid will be accepted.
c. $15,000.
d. Bidding $15,000 guarantees you a profit of $1,000, while trying to bid less than $15,000, you can end up without a profit, thus, you should not consider bidding less than the amount in part (c).
Step-by-step explanation:
Uniform probability distribution:
An uniform distribution has two bounds, a and b.
The probability of finding a value of at lower than x is:
[tex]P(X < x) = \frac{x - a}{b - a}[/tex]
Assume that the competitor’s bid x is a random variable that is uniformly distributed between $10,000 and $15,000.
This means that [tex]a = 10, b = 15[/tex], considering the measures in thousands of dollars.
a. Suppose you bid $12,000. What is the probability that your bid will be accepted?
Probability that the other bidder's bid is less than 12000(X < 12). So
[tex]P(X < 12) = \frac{12 - 10}{15 - 10} = \frac{2}{5} = 0.4[/tex]
0.4 = 40% probability that your bid will be accepted.
b. Suppose you bid $14,000. What is the probability that your bid will be accepted?
Probability that the other bidder's bid is less than 14000(X < 14). So
[tex]P(X < 14) = \frac{14 - 10}{15 - 10} = \frac{4}{5} = 0.8[/tex]
0.8 = 80% probability that your bid will be accepted.
c. What amount should you bid to maximize the probability that you get the property?
The upper bound of the uniform distribution, that is, $15,000.
d. Suppose you know someone who is willing to pay you $16,000 for the property. Would you consider bidding less than the amount in part (c)? Why or why not?
Bidding $15,000 guarantees you a profit of $1,000, while trying to bid less than $15,000, you can end up without a profit, thus, you should not consider bidding less than the amount in part (c).
Question 4
Solve for m.
m+7=3* mull
no solution
Infinite
solutions
Answer:
m= -4
Step-by-step explanation:
A bicycle wheel has a diameter of 26 inches. What is the circumference?
Answer:
81.64 Inches
Step-by-step explanation:
Given :
Diameter of wheel =26 inches
Radius of wheel (r)=26/2=13 inches
Circumference (C) of wheel can be calculated as :
C= 2πr
C=6.28(13)
C=81.64 Inches
my last question 30 pts plzzzzzzzzz help
An expression is shown below:
4(m + 3 + 5m)
Part A: Write two expressions that are equivalent to the given expression. (3 points)
Part B: Show that one of your expressions in Part A is equivalent to the given expression using algebraic properties. Explain which properties you used. (4 points)
Part C: Show that your other expression from Part A is equivalent to the given expression by substituting a number for m. (3 points)
Answer:
A) 48m + 12 and 3(2m + 4 + 14m)
B) 48m + 12 is equivalent to 6(m + 2 + 7m) because if you distribute the 6 to everything inside the parentheses, you get 6m + 12 + 42m. This can be simplified further by adding 6m and 42m together, leaving you with 48m + 12.
C) m = 2
6(m + 2 + 7m)
6[2 + 2 + 7(2)]
6(4 + 14)
6(18) 1
108
3(2m + 4 + 14m)
3[2(2) + 4 + 14(2)]
3(4 + 4 + 28)
3(8 + 28) 3
(36) 108
108 = 108
PLS HELP !!!! WILL MARK BRAINLIEST !!
Answer: Choice C) no solution
=============================================================
Explanation:
The first equation says that y and 3x-4 are the same thing.
So we can replace every copy of "y" in the second equation with "3x-4" like so
9x - 3y = 14
9x - 3(3x-4) = 14
9x - 9x + 12 = 14
0x + 12 = 14
0 + 12 = 14
12 = 14
The last equation is false because we get different values on either side. Because the last equation is false, it means the equation 9x-3y = 14 is false when y = 3x-4.
In short, the overall systems of equations is inconsistent and that leads to no solution (choice C).
If you were to graph each equation, you should find that both lines are parallel. Parallel lines never intersect. The solution is the intersection point of any graphed system.
Answer:
there is no solution to this problem
Step-by-step explanation:
I hope this helps
In how many ways can 10 people be seated in 10badjacenr seats in a theater
A weatherman predicted 8 inches of snow would fall last night.
Instead, 20 inches of snow actually fell.
What is the percent error of the prediction?
about 12%
about 40%
about 60%
about 150%
Answer:
The correct answer is - about 60%
Step-by-step explanation:
Given:
predicted value: 8 inches
measured value - 20 inches
formula:
Prediction percentage error is the error or differences between the prediction made and the observed or actual value. Calculation of the percentage error by the following equation.
prediction percentage error = (measured value - predicted value)*100/measured value
solution:
putting value in the formula
= (20-8)*100/20
= 12*5
= 60 %
I kinda need help!!!!!!!!!!!!!!!!
Answer:
15+15+15=45
Step-by-step explanation:
8+8+8=24
4+4+4=12
4+15*8=
124
Answer:
Answers is hear that.
4+15+8=27
distribute and simplify these radicals 2^3 x (^2+^3)
the add of the 56+45/98+5000+12538+567
Bernardo woke up one morning and saw frost on the windows. It was -15°C outside. Later in the day, the frost melted. At 3 p.m. it was 14°C outside. Which expression represents the difference between the two temperatures?
Answer:
something like: 14 - (-15)
Step-by-step explanation:
a) Find the center and radius,
b) Graph -not necessary-
c)Find intercepts if there are any
4. (x-1)² + (y+4)² = 9
Answer:
Radius: 3units
center: (1,-4)
how are they the same
Answer:
Step-by-step explanation:
The ways that they are the same are.
The slope is the same.Since the slope is the same for both of them, there is no possible solution meant for both of them. The slope is 1/4They are both written in slope y intercept form.The only difference is the y intercept is different. y intercept for y = 1/4 x is 0,0y intercept for y = 1/4 x is 0,5Please help quickly I really don’t understand this question and i’m freaking out.
Answer:
[tex] \frac{4 \sqrt{3x} }{9} [/tex]Step-by-step explanation:
[tex] \frac{4 \sqrt{ {21x}^{2} } }{3 \sqrt{63x} } [/tex][tex] \frac{4 \sqrt{ \frac{21 {x}^{2} }{63x} } }{3} [/tex][tex] \frac{4 \sqrt{ \frac{x}{3} } }{3} [/tex][tex] \frac{4 \sqrt{ \frac{x \times 3}{3} } }{3} [/tex][tex] \frac{\frac{4 \sqrt{3x} }{3} }{3} [/tex][tex] \frac{4 \sqrt{3x} }{3} \times \frac{1}{3} [/tex][tex] \frac{4 \sqrt{3x} }{9} [/tex]Hope it is helpful...Which of the following is not a property of a rectangle
Answer:
I would like to say A because Diagonals of a rectangle Bisect each other at a right angle.
This seems likely
Please Mark as Brainliest
Hope this Helps
Answer:
I think C would be the best answer.
Step-by-step explanation:
Sorry if it was not right ):