2cos2x=y
dy/dx(2cos2x)=-4sin2x
d/du cosu= u'×cos'u=-u'×sinu
d/du sinu= u'×sin'u= u'×cosu
d/du tanu = u'×(1+tan²u)
d/du cotu = u'×-(1+cot²u)
proof for cosu :
cos2x= 1-2sin²x
or 2cosx²-1
or cos²x-sin²x
we will one of this fro example let's take the first one
d/dx 1-2sin²x=0-2×2(sinx)×cosx=-2sin2x
and we have 2 in the begining so its -4sin2x
Calculate area and round to nearest tenth.
Multiply.
(b - 7)(2b +9)
(b - 7)(2b +9)=(Simplify your answer.)
Answer:
[tex]2 {b}^{2} - 5b - 63[/tex]
Step-by-step explanation:
[tex](b - 7) \times (2b + 9)[/tex]
[tex]b \times 2b + 9b - 7 \times 2b - 7 \times 9[/tex]
[tex]2 {b}^{2} + 9b - 14b - 63[/tex]
[tex]2 {b}^{2} - 5b - 63[/tex]
15. x = 27 + 10 P. _; PQ = 12 •R 1 + 18
Answer:
5
Step-by-step explanation:
Choose the most convenient method to graph the line y = –3x + 4.
Answer:
Step-by-step explanation:
Solve for a: 7a = 63
Answer:
a = 9
Step-by-step explanation:
7a = 63
Divide 7 on both sides,
=> 7a/7 = 63/7
=> a = 9
which equation can be used to solve for x in the following diagram?
Answer:
A
Step-by-step explanation:
We know that it is A because the two smaller angles are being added, and we know the sum is 90 degrees. The only equation that satisfies both of these is A.
Answer:
A
Step-by-step explanation:
because it is a right angled
The mass of the eggs laid by a certain breed of hen is a normally distributed random variable with mean 0.06kg and standard deviation 0.009kg. If a random sample of 1800 eggs are sold, how many would you expect to have mass; (i)Less than 0.052 kg (standard size). (ii)Between 0.052 kg and 0.075kg (medium size).(iii)Greater than 0.075 kg (large size).
(b)If the cost of producing an egg in (a) is Gh¢0.45 and selling price of each standard, medium and large size eggs are Gh¢0.60, Gh¢0.80, and Gh¢0.95 respectively, calculate (i)The expected profit to be made from selling the standard size, medium size and large size eggs. (ii)The overall profit.
a (i) The number of standard size is 288 eggs
a (ii) The number of medium size is 1,476 eggs
a (iii) The number of large size is 36 eggs
b (i) The expected profit made from selling the standard size is Gh¢43.2
b (ii) The expected profit made from selling the medium size is Gh¢516.6
b (iii) The expected profit made from selling the large size is Gh¢16.2
The given parameters:
the mean of the distribution, m = 0.06 kg
standard deviation (std) of the distribution, d = 0.009 kg
number of the samples, n = 1800 eggs
(i) Find the position of "less than 0.052 kg (standard size)":
1 standard deviation below the mean = m - d m - d = 0.06 kg - 0.009 kg = 0.051 kg(the standard size is 1 standard deviation below the mean)
less than 1 standard deviation below the mean in a normal distribution is equal to 16% of the data samplesNumber of standard size = 0.16 x 1800 = 288 eggs(ii) Find the position of "Between 0.052 kg and 0.075kg (medium size)":
0.052 kg is 1 standard deviation below the mean2 standard deviation above the mean = m + 2dm + 2d = 0.06 + 2(0.009) = 0.078 kg(the medium size is between 1 std below the mean and 2 std above the mean)
Between 1 std below the mean and 2 std above the mean in a normal distribution = (68 + 14)% = 82%Number of medium size = 0.82 x 1800 = 1,476 eggs(iii) Find the position of "Greater than 0.075 kg (large size)":
0.078 kg is 2 standard deviation below the meangreater than 2 std above the mean in a normal distribution = 2 % of the data samples Number of large size = 0.02 x 1800 = 36 eggsCheck: 288 eggs + 1476 eggs + 36 eggs = 1,800 eggs
(b) the cost of production of an egg = Gh¢0.45
the selling price of the standard size = Gh¢0.60
the selling price of the medium size = Gh¢0.80
the selling price of the large size = Gh¢0.95
(i) The expected profit made from selling the standard size:
Profit = total revenue - cost of production
Profit = 288(0.6) - 288(0.45) = Gh¢43.2
(ii) The expected profit made from selling the medium size:
Profit = total revenue - cost of production
Profit = 1476(0.8) - 1476(0.45) = Gh¢516.6
(iii) The expected profit made from selling the large size:
Profit = total revenue - cost of production
Profit = 36(0.9) - 36(0.45) = Gh¢16.2
Learn more here: https://brainly.com/question/22520030
What number should be added to 2/8 to -1/12 get ?
Answer:
-1/3
Step-by-step explanation:
this is the best answer
Halo
please help me
Answers with Solution, ok?
The correct answer is letter C. 75. 36m³ :)
Here's the Solution:
V = π r²hV = (3.14) (2m)² (6m)V = (3.14) (4m²) (6m)V = (3.14) (24m³)V = 75.36m³HOPE THIS HELPS. GOODLUCK:)
Take 9 numbers forming a calendar and mark 4 number corner. Add the square of diagonal pair and difference of the sum
) Find the value of 'x' and 'y' if ( 2x+3y,4) = ( 5 , 2y).
Answer:
x = -0.5
y = 2
Step-by-step explanation:
(2(-0.5)+3(2), 4) = (5, 2(2))
(-1 + 6, 4) = (5, 4)
(5, 4) = (5, 4)
When solving the given equation, what is the first step?
(a)
Given: x - 3=8
А
Add 3 to both sides
B
Subtract 3 from both sides
C
Multiply -3 to both sides
D
Divide -3 from both sides
(b) What is the solution to the give equation?
Given: 1 - 3 = 8
Answer:
A
Step-by-step explanation:
You are given that x - 3 = 8
It's an equation. The first thing you do is add or subtract when you are learning how to handle equations. This is a level 1 equation. That means that the solution is just to add or subtract something.
In this case, x has 3 taken away from it. So you have to get x by itself. The way to do that is to add 3. Then the -3 on the left disappears.
x - 3 + 3 = 8+3
x = 11
The answer is A
Answer:
don't know actually but I can elaborate the solution
Step-by-step explanation:
x-3=8
x=8+3
x=11please solve my difficult question fast
The 3 angles form the straight line AB. A straight line equals 180 degrees.
The 3 angles when added together need to equal 180:
2x + 65 + (x + 65) = 180
Simplify by combining like terms:
3x + 130 = 180
Subtract 130 from both sides
3x = 50
Divide both sides by 3
X = 50/3
X = 16 2/3 (16.66667 as a repeating decimal)
Now you have x if you need to solve all the angles replace x with its value and sole:
2x = 2(16 2/3) = 33 1/3
X + 65 = 16 2/3 + 65 = 81 2/3
Step-by-step explanation:
2x+65°+(x+65°)=180° ( sum of angle of straight angle )
3x+65°+65°=180°
3x=180°-130°
3x= 50°
now,
i) 2x=2*50=100°
ii) (x+65°) = 50+65 =115°
plz mark me brainiest and thanks
have a good day ahead...
(-_-)
if(2x-y)=4 then (6x-3y)=?
Answer:
12
Step-by-step explanation:
(2x-y)=4
Multiply the first equation by 3
3*(2x-y)=3*4
6x -3y = 12
Solve for x.
(2x - 5°
(5x + 10)
B
What are the coordinates of the point
3
of the way from A to B?
у
4
B
2
1
+2
lo
-21
А
9514 1404 393
Answer:
(-3 1/2, 1 1/4)
Step-by-step explanation:
For some point P, we want ...
(P -A)/(B -A) = 3/4
4P -4A = 3B -3A
4P = 3B +A
P = (3B +A)/4 = (3(-3, 3) +(-5, -4))/4 = (-9-5, 9-4)/4 = (-14, 5)/4
P = (-7/2, 5/4) = (-3 1/2, 1 1/4) . . . . the desired point
A triangle has side lengths of (7n-2p) centimeters, (2n+4q) centimeters, and (q-5p) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?
Answer:
It is 9n - 7p + 5q
Step-by-step explanation:
Perimeter formular:
[tex]perimeter = (side + side + side)[/tex]
substitute:
[tex]p = \{(7n - 2p) + (2n + 4q) + (q - 5p) \} \\ [/tex]
group like terms together:
[tex] = (7n + 2n) + ( - 2p - 5p) + (4q + q) \\ = 9n - 7p + 5q[/tex]
26) Using the formula I = PRN, calculate the simple interest (I) on $1500 at 3% p.a. for 8 years. Show working i.e. P = 1500, R = 3% , N= 8
Answer:
I = $360
Step-by-step explanation:
Calculate the interest I using
I = PRN
with P = 1500, R = 3% = [tex]\frac{3}{100}[/tex] = 0.03 , N = 8 , then
I = $1500 × 0.03 × 8 = $360
Write 4 2/5 as an improper faction
Answer:
22/5
Step-by-step explanation:
4 [tex]\frac{2}{5}[/tex]
new numerator for improper fraction = (4 x 5) + 2 = 20 + 2 = 22
=> 22/5
Fully factorise: 4x2−25
NEED ANSWER ONLY DON'T SHOW STEPS. URGENT!!!
a. (2x+5)(2x−5)
b. (2x−5)(2x−5)
c. (4x+5)(x−5)
d. (3x+20)(x+5)
Answer:
The correct choice is option a. (2x+5)(2x−5)
Answer:
Option a. (2x+5)(2x-5)
Step-by-step explanation:
4x2 - 25
Furthermore, this is the difference of squares formula we will use to factor 4x^2-25:
a2 - b2 = (a + b) • (a − b)
As you can see, our problem does not look like the left side of the formula, so first we have to convert our problem to match the left side like so:
4x2 - 25 = (2x)2 - 52
Now that it matches, we can simply plug in 2x for a and 5 for b into the formula to get the factors of 4x^2-25:
(2x + 5) • (2x − 5)
________________________________
I know this is urgent but still I gave you the explanation so that whenever you're confused with questions like that then these steps can help you.
A(3,8), B(3,-2), C( t ,1 ), if AB=2BC, find the possible values of t.
Find the distance between A and B, AB,
[tex]AB=\sqrt{(3-3)^2+(-2-8)^2}=10[/tex]
Next, find the distance between B and C, BC,
[tex]BC=\sqrt{(t-3)^2+(1-2)^2}=\sqrt{(t-3)^2+1}[/tex]
The equation is,
[tex]10=2\sqrt{(t-3)^2+1}[/tex]
[tex]25=(t-3)^2+1[/tex]
[tex]t^2-3t+10=25[/tex]
[tex]t^2-3t-15=0[/tex]
Use quadratic formula to get possible values of t,
[tex]t_1=\frac{3+\sqrt{69}}{2}[/tex]
[tex]t_2=\frac{3-\sqrt{69}}{2}[/tex]
Hope this helps :)
If m ABC=25 and m CBD= 35 then m ABD=
Answer:
Angle ABD = 60
Step-by-step explanation:
Angle ABD = angle ABC + angle CBD
We are given that angle ABC = 25 and angle CBD = 35
So angle ABD = 25 + 35 = 60
Answer:
60
Step-by-step explanation:
to find the length of the entire angle, you will have to add both seperated sides to find it.
<ABC = 25
<CBD = 35
25 + 35 = 60
So, <ABD = 60
Hope this helped.
Solve for x: (1/3)x = 81
Answer:
243
Step-by-step explanation:
1 /3 x=81
Step 1: Multiply both sides by 3.
3*( 1 /3 x)=(3)*(81)
x=243
The value of x for the expression (1/3)x = 81 is 243.
What is an algebraic expression?An algebraic expression is consists of variables, numbers with various mathematical operations.
The given expression is,
(1/3)x = 81
To find the value of x,
Solve the expression,
(1/3)x = 81
x = 81 x 3
x = 243
The required value of x is 243.
To know more about Algebraic expression on:
https://brainly.com/question/19245500
#SPJ2
What is x and the unknown angle? May I also get a brief explanation of how to do it?
Answer:
149+(13x+5)=180
154+13x=180
13x=26
x=2
Answer:
see explanation
Step-by-step explanation:
The 2 angles are adjacent on a straight line and sum to 180° , then
149 + 13x + 5 = 180 , that is
154 + 13x = 180 ( subtract 154 from both sides )
13x = 26 ( divide both sides by 13 )
x = 2
Then
unknown angle = 13x + 5 = 13(2) + 5 = 26 + 5 = 31°
Jenny completed four-fifths of her summer reading assignment. Her classmate Antonio completed seven-eighths of his assignment, and classmate Jerry completed three-fourths of his assignment. Which student read the least? Which student read the most? Which student fell in the middle? (Show all work.)
Answer:
Jerry, Antonio, Jenny
Step-by-step explanation:
To solve this, we can represent the numbers as fractions, make them have one common denominator, and go from there
First, we can represent these as fractions:
Jenny:
four-fifths = 4/5
Antonio:
seven-eighths = 7/8
Jerry:
three-fourths = 3/4
Next, we can find the lowest common multiple. We can do this by listing the multiples of each number until something is in common for all 3
4:
4, 8, 12, 16, 20, 24, 28 ,32, 36, 40, 44, 48
8:
8, 16, 24, 32, 40, 48, 56, 64
5:
5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60
One number that is in common is 40.
Our next step is to find out what we need to multiply each number by to equal 40. We can do this via division.
4:
40/4 = 10
8:
40/8 = 5
5:
40/5 = 8
Next, we can multiply the numerator and denominator by the same number, essentially multiplying it by 1. For example, 4/5 * 5/5 = 20/25, which is still equal to 4/5 because 5/5 = 1 and multiplying any number by 1 keeps it the same.
3/4 * 10/10 = 30/40
7/8 * 5/5 = 35/40
4/5 * 8/8 = 32/40
We can see that 3/4 (Jerry) is the lowest, 7/8 (Antonio) is the highest, and 4/5 (Jenny) is in the middle
7 - 3x = 2x + 7 – 5x
Step by step
Answer:
0
Step-by-step explanation:
7-7=2x-5x+3x
0=2x-5x+3x
Find the midpoint, M, of AB.
А
M
B
[?]
22
Answer:
M=11
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
To find the midpoint ( or middle) we take the average of the endpoints
(A+B)/2 = (0+22)/2 = 22/2 = 11
8/6-5/4=
Please help quick
Answer:
1/12
Step-by-step explanation:
Please help solve please
Answer:
The choose D) -12
Step-by-step explanation:
[tex]3 {x}^{ - 4} \times x {y}^{2} \\ 3( { - 1}^{ - 4} ) \times ( - 1)(2)^{2} \\ \frac{3}{ - 1^{4} } \times - 1(4) \\ 3 \times - 4 \\ = - 12[/tex]
I hope I helped you^_^
Which of the following functions is odd?
PLZ HELP URGENT
Answer: Choice D
Explanation:
This is because all of the exponents are odd for this polynomial. It might help to think of that 4x as 4x^1.
