Answer:
6kilometers ,8 kilometers,10kilometers
(sin 9x)'
what is the derivative of sin 9x
Answer:
[tex]\displaystyle \frac{d}{dx}[\sin(9x)] = 9 \cos(9x)[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationDerivative Property [Multiplied Constant]: [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Derivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle y = \sin(9x)[/tex]
Step 2: Differentiate
Trigonometric Differentiation [Derivative Rule - Chain Rule]: [tex]\displaystyle y' = \cos(9x)(9x)'[/tex]Rewrite [Derivative Property - Multiplied Constant]: [tex]\displaystyle y' = 9 \cos(9x)(x)'[/tex]Basic Power Rule: [tex]\displaystyle y' = 9 \cos(9x)[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
A woman has a ladder that is 13 feet long. If she sets the
base of the ladder on level ground 5 feet from the side of a
house, how many feet above the ground will the top of the
ladder be when it rests against the house?
11
12
8
9
Answer:
8 is the answer
Enter the fraction as a decimal and a percent
2
5
The decimal representation is
The percent representation is
Answer:
Percent is 40%
the decimal is .40
Step-by-step explanation:
1/5 = 20%/.20
So if 1/5 is 20% 2/5 should just have 20% more resolving in 40% or .40
Find the product shown below in simplest standard form. (x + 5)(x - 5)
help
Answer:
Step-by-step explanation:
X^2-5^2
X^-25
Pleas help me with #2, thanks
what are the missing lengths?
Answer:
U can find it using Cos 60 degree
PLEASE HURRY!!
Find the value of x
Answer:
Step-by-step explanation:
3x=24
x=8
Find BC. AB=24 AC=24 BD=15
Answer:
b) BC = 30
Step-by-step explanation:
triangle ACD is equal to ABC so BC = 2xBD = 30
How many 0's are located to the right of the decimal point and before the first non-zero digit in the terminating decimal representation of 1/2^5.5^8 ?
There are seven zeroes located to the right of the decimal point and before the first non-zero digit in the terminating decimal representation of 1/(2^5.5^8).
Terminating decimal is a decimal number which have a finite number of digits after the decimal point. Decimals like 3.45, 6.78, 1.987 are terminating decimals. Decimals which have 0 as the non terminating digit like 3.7800000.. are also called as terminating decimals.
Let P=1/(2^5.5^8)
Multiplying and dividing the numerator by 2^3
P= 2^3/(2^5.5^8.2^3)
P=8/(2^8.5^8)
P=8/10^8
P=0.00000008
The number of zeroes located to the right of the decimal point and before the first non-zero digit are seven.
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Angles A and B are complementary. If mL A = 2x + 22 and mL B = 46 . Solve for x to find the measure of L and A
Answer:
x = 11
m∠A = 44°
Step-by-step explanation:
Complimentary angles total 90
(2x + 22) + 46 = 90
Subtract 46 from both sides
2x + 22 = 44
Subtract 22 from both sides
2x = 22
Divide both sides by 2
x = 11
------------------------
m∠A = 2x + 22
m∠A = 2(11) + 22
m∠A = 44°
Answer:
x = 11
∡A = 44°
Step-by-step explanation:
2x+22 + 46 = 90
2x + 68 = 90
2x = 22
x = 11
∡A = 2(11)+22 = 44°
answer ill give brainlest!!!!<3
Answer j
Step-by-step explanation:
lemme know ——————————-
Answer:
121
Step-by-step explanation:
180 - (56 + 65) = 59
180 - 59 = 121
In ΔOPQ, the measure of ∠Q=90°, the measure of ∠P=76In ΔOPQ, the measure of ∠Q=90°, the measure of ∠P=76°, and PQ = 4. 1 feet. Find the length of OP to the nearest tenth of a foot. °, and PQ = 4. 1 feet. Find the length of OP to the nearest tenth of a foot
The length of OP to the nearest tenth of a foot is 16.9 ft
What is a right-angle triangle?
It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
ΔOPQ is right triangle
Tan (p) = opposite/adjacent = OQ/PQ
Tan (76) = OQ/4.1
4.010 = OQ/4.1
OQ = 4.010 * 4.1 = 16.441
OP² = OQ² + PQ² = 16.441 ² + 4.1² = 287.116
=> OP = √ 287.116 = 16.944
OP≅ 16.9 ft
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A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 3 large boxes and 5 small boxes has a total weight of 121 kilograms. A
delivery of 6 large boxes and 2 small boxes has a total weight of 136 kilograms. How much does each type of box weigh?
Weight of each large box: [kilogram(s)
Weight of each small box: kilogram(s)
?
Answer:
136 yhdiby8sruygftdtuggdyubhAnswer:
Weight of each large box: 18.25kg
Weight of each small box: 13.25kg
Step-by-step explanation:
For this question, we have two unknowns, but we can solve them as we are given two equations.
If we use the variables 'L' for Large and 'S' for small, we an write out the information given to us as equations:
3L + 5S = 121
6L + 2S = 136
Now we can solve these simultaneous equations by multiplying one of them by a constant so that one of the variable co-efficients are the same so we can cancel them. We can see here that we can easily double the first equation which would result in both having 6L:
2(3L + 5S) = 2(121)
=> 6L+10S=242
Now that we have one term which is the same, we can subtract one equation from the other:
6L+ 10S = 242
- (6L + 2S = 136)
------------------------
=>0L + 8S = 106
Now we can solve for S:
8S/8 = 106/8
S = 13.25
And use this value of S to solve for L:
3L + 5(13.25) = 121
3L + 66.25 = 121
3L + 66.25 - 66.25 = 121 - 66.25
3L = 54.75
3L/3 = 54.75/3
L = 18.25
Hope this helped!
Help i dont get this
substitute the place of the X
SOMEONE HELP ME PLSSSS
simplify (pic below)
Answer:
10^11
Step-by-step explanation:
This question helps you practice some exponent rules. To "fix" a negative exponent you push it across the fraction bar. The 10^-3 on the bottom becomes a 10^3 on the top. See image.
Then, when you have 10^8 • 10^3, that is when you are multiplying, you add the exponents.
10 ^ (8+3)
= 10^11
see image
A 30-60-90 triangle has a short leg of 6.
What is the length of the long leg?
Answer:
6√3
Step-by-step explanation:
Answer needed quick! Problem is attached as a picture. find the surface area of the hemisphere (links and spam will b reported <3)
Answer:
Surface area of hemisphere = 150.72 meter²
Step-by-step explanation:
Given;
Diameter of hemisphere = 8 meter
Find:
Surface area of hemisphere
Computation:
Diameter of hemisphere = 8 meter
Radius of hemisphere = Diameter of hemisphere / 2
Radius of hemisphere = 8 / 2
Radius of hemisphere = 4 meter
Surface area of hemisphere = 3πr²
Surface area of hemisphere = 3(22/7)(4)²
Surface area of hemisphere = 3(22/7)(16)
Surface area of hemisphere = 3(3.14)(16)
Surface area of hemisphere = (9.42)(16)
Surface area of hemisphere = 150.72 meter²
In the figure below, find the length of AD. Round your answer to the nearest tenth.
B
10
Show Your Work
Answer:
12.4
Step-by-step explanation:
First you need to find the hypotenuse of the other triangle, because it makes up a necessary side for finding AD. Pythagorean theorem states that
a^2 + b^2 = c^2 where a and b are leg lengths and c is the hypotenuse. For the triangle on the left, you're given 2 legs. So you can substitute those into that formula:
a^2 + b^2 = c^2
(10)^2 + (6)^2 = c^2
100 + 36 = c^2
136 = c^2.
Now take the square root of both sides to isolate c.
11.6619038 = c.
11.6619038 rounds to 11.7 so c = 11.7
Now that you have the second leg length for the triangle on the right, you can find its hypotenuse.
Follow the same process. Substitute your values into the equation and then solve for c:
a^2 + b^2 = c^2
(11.7)^2 + (4)^2 = c^2
136.89 + 16 = c^2
152.89 = c^2
Now find the square root of both sides to isolate c
12.3648696 = c.
12.3648696 rounds to 12.4 so c = 12.4
So the distance of AD is 12.4
Which of the following numbers is closest to 7?
Answer:
B. √50
Step-by-step explanation:
[tex]7^{2}[/tex] is 49 so √49 is 7
So,
since the closest number to 49 is 50, that is the answer.
[tex]\sqrt{51}[/tex] is the closest square root to 7.
What is square root?The square root of a number is defined as the value, which gives the number when it is multiplied by itself. The radical symbol √ is used to indicate the square root. If a number is a perfect square, we can easily find the square root of the number. If the given number is not a perfect square number, the square root can be found using the long division method.
[tex]\sqrt{51} = 7.141\\\sqrt{50} = 7.071\\ \sqrt{46} = 6.782\\ \sqrt{47} =6.855[/tex]
(using calculator)
Absolute distance from 7 :
|7.141 - 7| = 0.141
|7.071 - 7| = 0.71
|6.782 - 7| = 0.218
|6.855 - 7| = 0.145
(The absolute value of a number refers to the distance of a number from the origin of a number line. It is represented as |a|, which defines the magnitude of any integer ‘a’. The absolute value of any integer, whether positive or negative, will be the real numbers, regardless of which sign it has. It is represented by two vertical lines |a|, which is known as the modulus of a.)
Since, 0.141 is the least distance. [tex]\sqrt{51}[/tex] is the closest square root to 7.
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The coefficient b and c in the equation x^2bxc=0 are alo the root of that equation (c≠0)
[tex]x^2[/tex] - (b+c)x +bc=0 is the quadratic equation whose roots are b,c.
If the roots of a quadratic equation are given, the equation can be written by factoring the equation using the roots.
Given the roots, let's say r1 and r2, the quadratic equation can be written as (x - r1)(x - r2) = 0.
Expanding the above equation x^2 - (r1 + r2)x + r1r2 = 0
Therefore, if the roots of a quadratic equation are given as r1 and r2, the quadratic equation can be written as:
x^2 - (r1 + r2)x + r1r2 = 0
since we are given that the root of the equation are b,c;
so r1=b,r2=c;
putting the value in the above equation we get the equation with b and c as root:
[tex]x^2[/tex] - (b+c)x +bc=0
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Complete question :
The coefficient b and c in the equation [tex]x^2+bx+c[/tex] is also root of another equation where c≠0 .
please write the equation
Dale has $1,000 to invest. He has a goal to have $2,400 in this investment in 12 years. At what annual rate compounded continuously will Dale reach his goal?
Answer:
7.29%
Step-by-step explanation:
Given data
Principal= $1,000
Final amount= $2,400
TIme= 12 years
The expression for the compound interest is given as
A= P(1+r)^t
Make r subject of fomula
r = ln(A/P) / t
r= ln(2400/1000)/12
r= ln(2.4)/12
r= 0.875/12
r= 0.0729
Hence the rate is 7.29%
What is the sum of the interior angles of a 35-gon?
What is the number of sides of a polygon that has the sum of the interior angles equal to 2340°?
Answer:
5940
number of sides = 15
Step-by-step explanation:
Sum of the interior angles = (n-2)×180
(35-2)×180
=33×180
= 5940
Sum of the interior angles = (n-2)×180
(n-2)×180 = 2340
(n-2) = 2340/180
n-2 = 13
n = 13 + 2 = 15
so total sides are 15
Shelia works at the ice cream shop and makes $8.00 an hour during the day, and one and a half times that rate in the evening. Last week she worked 12 hours during the day and 6 hours at night. How much was her paycheck?
60% of the animals at a pet shop are dogs. If there are 42 dogs at the shop, then how many animals are there altogether?
25
70
45
50
Answer:
70
Step-by-step explanation:
The formula for this question is
60/100 * x = 42
Look carefully at how this is written. You have so many pets (x) in the shop.
60 % of them are dogs. But that 60% we are told is also how many animals are dogs and that is 42.
So you have two facts meaning the same thing.
Multiply the equation by 100
100 * 60/100 *x = 42 * 100
60x = 4200
Divide by 60
x = 4200/60
x = 70
The total number of animals was 70
4
Drag each option to the correct location on the image.
Match the expenses to their respective categories.
Need
tuition and fees
staple foods
Want
Lamborghini
vacation
lavish wedding
Answer:
NEED:
Tuition and Feesstaple foodsWANT:
VacationLamborghini Lavish WeddingStep-by-step explanation:
Right on Plato! <3
Have a wonderful day!
The needs listed are tuition and fees and staple foods, while the wants are a vacation, a Lamborghini, and a lavish wedding.
The listed needs and wants reflect different aspects of a person's life and priorities. "Tuition and Fees" and "Staple Foods" are necessities that are essential for a person's survival and well-being.
On the other hand, "Vacation," "Lamborghini," and "Lavish Wedding" are desires that are often seen as luxury items or experiences. While having wants is normal and human, it is important to understand that not all wants can be fulfilled, and it is equally important to prioritize needs over wants. Having a balanced approach to spending, budgeting, and financial planning can help ensure that both needs and wants can be met in a sustainable manner.
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Given the expression 7p + 5q + 4p - 2q, what is the result of combining the like terms?
14pq
11p + 3q
11p + 7q
12p + 2q
Answer:
11p+3q
Step-by-step explanation:
Jessica has eaten 3 1/2 hot dogs of the 10 hot dogs she
recently found in her freezer. What percent of the hot
dogs has she eaten?
Answer:
65%
Step-by-step explanation:
100%-> 10
1%->0.1
----------------------------
10 - 3 1/2 = 6 1/2
6 1/2 ÷ 0.1 = 65
Nick mowed about 3.5 of the school lawn yesterday. He mowed another 1/4 of the lawn this morning. How much is left to mow? Answer if you can.
The portion left to mow is 3x+3.5 /4
What are linear equations?Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.
Given here:Nick mowed about 3.5 of the school lawn yesterday. He mowed another 1/4 of the lawn this morning. Let the whole lawn be x then on the first day portion left to be mowed is x-3.5 and on the second day he moved 1/4 of this quantity thus portion of lawn left to be mowed is
x-x-3.5/4
=3x+3.5 /4
Hence, The portion left to mow is 3x+3.5 /4
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How to find the side of a triangle given two angles and one side?
If you know two angles and one side of a triangle, you can use the Law of Cosines to find the length of the other two sides.
The Law of Cosines states that for a triangle with sides a, b, and c, and angles A, B, and C opposite to those sides, the following formula holds:
c² = a² + b² - 2ab cos(C)
Where C is the angle opposite to side c.
So, if you know the measures of two angles (A and B) and the length of one side (c), you can use the Law of Cosines to find the lengths of the other two sides (a and b) by using the following formulas:
a = √(c² + b² - 2bc cos(A))
b = √(c² + a² - 2ac cos(B))
You can use the above equations to find the sides of the triangle, if you have the measures of two angles and one side.
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