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
|2x+1|=-13 what is the answer
Answer:
There is no answer
Because absolute value causes a positive answer and it is written here -13 !!!
it's impossible
Element X is a radioactive isotope such that its mass decreases by 62% every year. If an experiment starts out with 650 grams of Element X, write a function to represent the mass of the sample after
t
t years, where the daily rate of change can be found from a constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage rate of change per day, to the nearest hundredth of a percent.
Use the general formula for decay substance
[tex]\\ \rm\Rrightarrow N=N_o(1-r)^t[/tex]
r is rate of decay. t is timeFor our equation r=62%=0.62
So
function becomes
[tex]\\ \rm\Rrightarrow N=650(1-0.62)^t[/tex]
[tex]\\ \rm\Rrightarrow N=650(0.38)^t[/tex]
Change for a year
[tex]\\ \rm\Rrightarrow N=650(0.38)[/tex]
[tex]\\ \rm\Rrightarrow N=247g[/tex]
Amount decayed=650-247=403g
Daily decay
403/3651.1gPercentage decay
[tex]\\ \rm\Rrightarrow \dfrac{1.1}{650}\times 100[/tex]
[tex]\\ \rm\Rrightarrow 0.169[/tex]
[tex]\\ \rm\Rrightarrow 16.9\%[/tex]
What is the volume of the prism? Use the formula V equals B h. Enter the answer in the box.
Answer:
[tex]29.4\ cm^3[/tex]
Step-by-step explanation:
b = 4 × 3.5 = 14 cm²
h = 2,1 cm
then
[tex]V=b\times h[/tex]
[tex]=14\times2.1[/tex]
[tex]=29.4\ cm^3[/tex]
Step-by-step explanation:
The length of the rectangle is 4cm and the width is 3.5cm
The area of the rectangle is A = lw
The base area is 4 x 3.5 or 14cm squared
The height is 2.1cm
Substitute 14 for B and 2.1 for h
V = Bh
V = (14)(2.1)
=29.4
Therefore the volume of the prism is 29.4 cubic centimetres
can you please solve the problem and explain it in Excellence
What kind of reasoning is used here? If a = b and c = d, then a − c = b − d
The reasoning used here is coding and decoding.
What are coding and decoding?Coding is a portion of the logical reasoning element that is used to encrypt words, numbers, or codes utilizing specified rules and regulations. The process of decoding patterns into their original forms from supplied forms is known as decoding.
We have an expression:-
a = b and c = d, then a − c = b − d
Therefore the reasoning used here is coding and decoding.
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Stephen has 42 coins that are all dimes and nickels. The value of the coins is $3.65. How many dimes and how many nickels does Stephen have
answer is 31 dimes, 11 nickels
see picture attachment for the math
equation is .05N + .10D = 3.65
value of nickels and dimes
using D + N = 42
change to find value of N = 42 - D
plug value of N into the equation and solve
Number of Edges = [?]
=
Answer:
6
Step-by-step explanation:
Jack invests money in an account paying a simple interest of 7.1% per year. If mm represents the amount of money he invests, which expression represents his balance after a year, assuming he makes no additional withdrawals or deposits?
m+0.071m+0.071
1.0071m1.0071m
1+0.071m1+0.071m
m+0.071mm+0.071m
The balance after a year will be represented by an expression m + 0.071m.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
Given that:-
Jack invests money in an account paying a simple interest of 7.1% per year.The total amount will be calculated as:-
Total amount = Principle + interest rate x priciple
Total amount = m + 0.071m
Therefore the balance after a year will be represented by an expression m + 0.071m.
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(Multiple Choice) Solve In (2x + 3) = 7.
Round to the nearest thousandth.
A-
1095.133
B-
549.817
C-
1099.633
D-
546.817
Answer: it is D 546.817
Which represents the complete factorization of 3v2 + 9v ?
Answer:
3v2 + 9v = 3v(v + 3)
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]
What is the complete factorization of 3v²+9v?
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to solve:-}}}}\diamond[/tex]
First we need to find the GCF of this polynomial; when we find it, we should factor it out, or divide all the terms by it.
Since the greatest common factor (GCF) of this polynomial is 3v, we divide both terms by 3v:-
3v(v+3)
Good luck.- - - - - - - - - - - - - - - - - - - -- - - - - - - - -
Ash buys 5 bunches of flowers. Each bunch contains 10 flowers. He gets 8 more flowers from his yard.
Let f represent the number of flowers Ash has in all.
Answer:
Ash has 58 flowers in total
Step-by-step explanation:
Given:
- buys 5 bunches
- each bunch contains 10 flowers
- 8 more flowers from his yard.
5 bunches times 10 flowers plus the 8 more flowers from the garden
F = 10(5) + 8
F = 50 + 8
F = 58
Answer:
Ash has 58 flowers in all
Step-by-step explanation:
Y representing = bunches of flowers
F representing = the flower
1. Y=10f
2. Y=10f 5 x 10 = 50
3. Y=10f 50 + 8 = 58
4. Y=10f
5. Y-10f
f = 58
A square of area 169 cm² is transformed into an equilateral triangle. What is the perimeter, in
cm, of the triangle?
Answer:
39cm
Step-by-step explanation:
area of square = side^2 =169
side = 13cm
Perimeter of triangle = 3*side
=3 * 13 = 39cm
Answer:
52
Step-by-step explanation:
√169 =13
13*4= 52 because the perimeter of the square is equal to the perimeter of the triangle
A spinner has three sections. This table shows the results of spinning the arrow on the spinner 80 times.
Section 1=18 Section 2=30 Section 3=32
What is the experimental probability of the arrow stopping on Section 2?
9/40
1/3
3/8
2/5
The experimental probability of the arrow stopping on Section 2 will be [tex]\rm \frac{3}{8}[/tex]. is the ratio of the favorable event to the total number of events.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1.
No of arrows given in the different section ;
Section 1=18
Section 2=30
Section 3=32
The probability that the arrow stopping on Section 2 is found as;
[tex]\rm P = \frac{Favourable \ outcomes }{Total \ outcomes } \\\\\ P= \frac{30}{18+30+32} \\\\ P=\frac{30}{80}\\\\ P= \frac{3}{8}[/tex]
Hence, the experimental probability of the arrow stopping on Section 2 will be [tex]\rm \frac{3}{8}[/tex].
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What is the mean absolute deviation of 4,6,7,10,13
Answer:
2.8
Step-by-step explanation:
To find the mean aboslute deviation, you first need to find the mean:
(4 + 6 + 7 + 10 + 13)/5 = 8
Then, subtract the mean from each value, and take the abosulte value. Absolute value is essentially the same number, but if it is negative, make it positive.
4 - 8 = -4 = 4
6 - 8 = -2 = 2
7 - 8 = -1 = 1
10 - 8 = 2 = 2
13 - 8 = 5 = 5
Then, take the mean of all of these values:
(4 + 2 + 1 + 2 + 5)/5 = 2.8
A local dry cleaner interviewed 10 candidates for the positions of cashier, washer, salesperson, and delivery driver. How many ways can they fill the 4 positions?
A) 14
B) 210
C) 5040
D) 151200
To solve this problem, we have to use combination which is a topic in statistics and it deals with the number of ways or arrangement in which and event can occur. the local dry cleaner can make them fill the roles in 210 ways.
CombinationIn the given question, we have 10 candidates and 4 positions to be filled.
Data;
Number of candidates = 10Number of positions = 4[tex]^1^0C_4 = 210[/tex]
From the calculation above, the local dry cleaner can make them fill the roles in 210 ways.
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how to find area of trapezoid
The formula is a = (b1*b2)/2 .
help will mark Brainliest
You have found the ages (in years) of 5 gorillas. Those gorillas were randomly selected from the 29 gorillas at your local zoo: 8,4,14,16,8
Find the Average Age
Standard Devaluation
Answer:
the answer is 10
Step-by-step explanation:
(8+4+14+16+8)/5
need help with my aleks
Answer:
Below in bold,
Step-by-step explanation:
The angles in a triangle add up to 180 degrees.
So the equation is:
7x + 8 + 4x + x + 4 = 180
12x + 12 = 180 <-------- Required equation
12x = 168
x = 14.
m< L = 14 + 4 = 18 degrees
m< M = 7(14) + 8 = 106 degrees
m< N = 4(14)= 56 degrees
The expression 12.66d + 11.12c can be used to find the total cost of d pounds of almonds and c pounds of cashews. How much does it cost to buy pounds of almonds and pounds of cashews?
Pls help
please help! click on the picture
Step-by-step explanation:
To cover a rectangular region of her yard, Penny needs at least 217 square feet of sod. The length of the region is 15.5 feet. What are the possible widths of the region?
L=length=15.5 ft; W=width; A=area=>217 sq ft
L*W=>217 sq ft Divide each side by L
W=>217 sq ft/L
W=>217 sq ft/15.5 ft=>14 feet
ANSWER: To cover at least 217 sq ft. the width must be at least 14 feet.
Answer:
at least 14 ft
Step-by-step explanation:
The area of the rectangular region is the product of its length and width. We are told the area must be at least some value.
A = LW . . . . . . . . . area formula
A ≥ 217 ft² . . . . . . . . . given constraint
(15.5 ft)W ≥ 217 ft² . . . . . . substitute LW for A, use given length
W ≥ 14 ft . . . . . . . . . . divide by 15.5 ft
The possible width of the region is at least 14 feet.
PLEASE HELP WILL MARK BRSINLIEST!!!!!
Answer:
a) Yes
b) Not a right triangle
Step-by-step explanation:
Part (a)The sum of the lengths of any 2 sides of a triangle is greater than the length of the 3rd side.
7 + 8 = 15 > 9
7 + 9 = 16 > 8
8 + 9 = 17 > 7
Therefore, a triangle with side lengths 7, 8 and 9 can be made.
Part (b)To determine if the triangle is a right triangle, use Pythagoras' Theorem:
a² + b² = c² (where a and b are the legs, and c is the hypotenuse)
The hypotenuse is the longest side, therefore:
a = 7b = 8c = 9Substituting these values into the formula:
⇒ a² + b² = c²
⇒ 7² + 8² ≠ 9²
⇒ 113 ≠ 81
As 7² + 8² ≠ 9² then the triangle is not a right triangle.
You start driving north for 6 miles, turn right, and drive east for another 19 miles. At
the end of driving, what is your straight line distance from your starting point?
Round to the nearest tenth of a mile.
Answer:
mi
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M
4
G
Answer:
20 miles
Step-by-step explanation:
This is a Pythagorean Theorem Problem
1. We know that one side of the triangle is 6 miles. And we know that another side is 19 miles.
2. We use the pythagorean Theorem to solve. We get
[tex]19^2+6^2=C^2[/tex]
Where C is the distance.
Solving that we get that 20 miles is the answer.
P(-3,4), Q(-1,4), R(-2, 1), S(-4, 1)
180° about vertex R what are the coordinates
The coordinate s (-4, 1) is lying on the 180 degrees of the vertex R.
What is a coordinate system?
A coordinate plane is a 2D plane which is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.
There are four coordinates are given
P(-3,4), Q(-1,4), R(-2, 1), S(-4, 1)
Point S is just lying about 180 degree to the vertex R so the coordinates will be S ( -4,1)
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the teacher had 9 pencils. she gave 6 pencils as prizes to the students what fraction of pencils did she have left.
Answer:
3/9 (or) 1/3 (reduced)
Step-by-step explanation:
1. Before handing pencils to the students, the teacher had 9 out of 9 (9/9) pencils.
2. When she gave pencils to the students, she gave them 6 of the 9 pencils (6/9)
3. Now we do the math:
9/9 - 6/9
= 3/9 (or) 1/3 (reduced)
Therefore, the teacher now has 3/9 or 1/3 of the pencils left.
The sun came out and the temperature quickly rose 18 degrees. The a thunderstorm hits and the temperature drops 6 degrees. The sun comes back out the temperature raises 12 degrees. The temperature is now 94 degrees. What was the starting temperature?
Answer:
70
Step-by-step explanation:
Just do it backwards.
94 - 12 = 82.
82 + 6 = 88.
88 - 18 = 70.
Write the equation of the line that passes through the point
(1,−5) and with the slope of −3. Write the in slope-intercept form.
Answer:
y = -3x -2
Step-by-step explanation:
Hi there!!
We're given that a line has a slope of -3 and it contains the point (1, -5)
We want to write the equation of this line in slope-intercept form
Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept
As we are already given the slope, we can immediately plug it into the equation.
Replace m with -3 in y=mx+b.
y = -3x + b
Now we need to find b
As the equation passes through the point (1, -5), we can use its values to help solve for b.
Substitute 1 as x and -5 as y:
-5 = -3(1) + b
Multiply
-5 = -3 + b
Add 3 to both sides
-2 = b
Substitute -2 as b into the equation
y = -3x - 2
Hope this helps!
Topic: finding the equation of a line
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Which of these is not a property of a Parallelogram?
a) Opposite Sides Congruent
b) Opposite Angles Congruent
c) Diagonals Bisect Each other
d) Diagonals Congruent
A parallelogram is a quadrilateral or a flat shape with opposite sides parallel. Squares, Rhombuses, and Rectangles are few example of Parallelogram.
Explanation:
There are six important properties of a parallelograms:
The opposite side of a parallelogram is always equal.The opposite angle of a parallelogram are congruent.The consecutive angles of a parallelogram are supplementary.In a parallelogram if one angle is right then all the angles are right.The diagonals of parallelogram bisect each other.Each diagonal of a parallelogram separates it into two congruent triangle.The answer to the above question is (D) Diagonals Congruent
Answer:
D
Step-by-step explanation:
Because these are the 7 properties of a parralelgrom
Opposite sides are parallel.
Opposite sides are congruent.
Opposite angles are congruent.
Same-Side interior angles (consecutive angles) are supplementary. .
Each diagonal of a parallelogram separates it into two congruent triangles.
The diagonals of a parallelogram bisect each other.
Hola has 18 balls and he wants to give some of his balls to 9 girls on the bed. If he gave away some balls how many balls are there left?
Answer:
the answer should be 2
Step-by-step explanation:
you have to divide the 18 balls by the 9 girls.
Find the value of x. Round to the nearest 10th.
The area is 34 in²
Answer:
12
Step-by-step eplanation:
