answer: 6.x10 ^10
there u go
Need an answer asap!
Find the value of f(-142) for the function below.
f(x) = -0.2(x + 223)
A.
-186.6
B.
81
C.
-16.2
D.
251.4
Answer:
c
Step-by-step explanation:
you would put -142 in the x place
-0.2(-142+223)
-0.2(81)=-16.2
What is the domain of the function?
f(x)=cos(x)
The solution is , f(x) = tan (x) the function is defined at 0≤x<90 is the domain of the function.
Given the function f(x) = tan (x)
From trigonometry identity, tan (x) = sin(x)/cos(x)
f(x) = sin(x)/cos(x)
Using the quotient rule to find the derivative of the function, we will have;
f'(x) = cos (x)cos (x) - sin (x)[-sin (x)]/ cos²x
f'(x) = cos²x - sin²x/ cos²x
Divide through by cos²x
f'(x) = cos²x/cos²x + sin²x/cos²x / cos²x/cos²x
f'(x) = 1 + sin²x/cos²x / 1
f'(x) = 1 + (sin²x/cos²x)
f'(x) = 1 + tan²x
From trig identity, 1 + tan²x = sec²x
Hence, f'(x) = sec²x
Hence the expression f'(x) in terms of the secant function is sec²x
f'(x) = 1/cos²x
For the function to be defined, it means that cos²x ≠ 0
cos²x ≠ 0
cos x ≠ 0
x ≠ cos⁻¹0
x ≠ 90⁰
Hence the value of x must not be equal to 90 for the function to be defined. x can be defined at when x = 0 since cos 0 = 1, the equation will becomes f'(0) = 1/cos²0 = 1/1 = 1.
Hence the function is defined at 0≤x<90
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complete question:
Consider the function f ( x ) = tan ( x ) , and remember that tan ( x ) = sin ( x ) cos ( x ) . What is the domain of f ? Use the quotient rule to show that one expression for f ′ ( x ) is f ′ ( x ) = cos ( x ) cos ( x ) + sin ( x ) sin ( x ) cos 2 ( x ) . What is the Fundamental Trigonometric Identity? How can this identity be used to find a simpler form for f ′ ( x ) ? Recall that sec ( x ) = 1 cos ( x ) . How can we express f ′ ( x ) in terms of the secant function? For what values of x is f ′ ( x ) defined? How does this set compare to the domain of f ?
PLEASE HELP I WILL MARK YOU BRAINLIEST
Answer:
84 square centimetres
Step-by-step explanation:
Split the figure into multiple smaller figures. Then multiply the side lengths and add them all together.
Answer:
Step-by-step explanation\(12*5=30\\6*4=24\\\\8*5=40\\=94\):
When calculating interest accrued, you use the
O A. APR
O B. APY
O C. debt ratio
O D. going rate
How do you solve this equation? x/2 - x = x/4 + 6
Answer:
x= - 8
Step-by-step explanation:
multiply both sides by 4 to get rid of the fractions. you should then get:
2x-4x=x+24
then get all the x terms to one side by subtracting by x on each side:
2x-4x-x=24
then simplify:
-3x=24
divide by -3 on each side:
x= - 8
(c) If Nigeria continues to grow at the same relative change over the following decade, what would be its predicted population in 2020 in millions, rounded to the nearest million?
million people
Nigeria's predicted population in 2020 is 208 million, rounded to the nearest million.
Describe Relative Change?Relative change, also known as percent change, is a measure of the percentage increase or decrease in a quantity over time. In the context of population, relative change refers to the percentage change in the size of a population over a given period.
To calculate relative change in population, you would take the difference between the final population size and the initial population size, divide by the initial population size, and multiply by 100 to get the percentage change.
To find the relative change in Nigeria's population over the decade from 2000 to 2010, we use the formula:
Relative change = (new value - old value) / old value
Relative change in Nigeria's population from 2000 to 2010:
= (160 - 123) / 123
= 0.300813
So Nigeria's population increased by approximately 30.08% over the decade from 2000 to 2010.
To predict Nigeria's population in 2020, we apply this same relative change to the 2010 population:
Population in 2020 = Population in 2010 + (Relative change × Population in 2010)
Population in 2020 = 160 + (0.300813 × 160)
Population in 2020 = 160 + 48.13008
Population in 2020 = 208.13008 million
Rounding this to the nearest million, we get:
Population in 2020 = 208 million
Therefore, Nigeria's predicted population in 2020 is 208 million, rounded to the nearest million.
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Fuel costs have risen quickly during recent years as consumption, refining and production costs have risen sharply. Supply and demand conditions in the perfectly competitive domestic crude oil market are: QS = -250 + 7P (Supply) QD = 260 - 7P (Demand) where Q is quantity in millions of barrels per day, and P is price per barrel. Find the market equilibrium price. Note: To be at equilibrium, QS must equal QD
Answer:
The market equilibrium price is approximately $36.43 per barrel.
Step-by-step explanation:
To find the market equilibrium price, we need to set the quantity supplied (QS) equal to the quantity demanded (QD) and solve for the price (P).
Given:
QS = -250 + 7P
QD = 260 - 7P
Setting QS equal to QD:
-250 + 7P = 260 - 7P
Now, let's solve for P:
Add 7P to both sides:
-250 + 7P + 7P = 260 - 7P + 7P
Combine like terms:
14P - 250 = 260
Add 250 to both sides:
14P - 250 + 250 = 260 + 250
Simplify:
14P = 510
Divide both sides by 14:
14P/14 = 510/14
Simplify:
P = 36.43
The market equilibrium price can be found by setting the quantity supplied (QS) equal to the quantity demanded (QD) and solving for the price (P) that satisfies this condition.
In the given scenario, the supply function is QS = -250 + 7P, and the demand function is QD = 260 - 7P. To find the equilibrium price, we set QS equal to QD:
-250 + 7P = 260 - 7P
Simplifying the equation, we get:
14P = 510
Dividing both sides by 14, we find:
P = 36.43
Therefore, the market equilibrium price is approximately $36.43 per barrel. At this price, the quantity supplied and quantity demanded will be equal, resulting in a state of equilibrium in the perfectly competitive domestic crude oil market.
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You use 130 feet of fencing to go around a rectangular pool and patio. The length of the area is 9 more than the width. What are the dimensions of the fence?
The dimensions of the fencing is 28 ft and 37 ft respectively.
How to find the dimension of the rectangular fence?He use 130 feet of fencing to go around a rectangular pool and patio.
The length of the area is 9 more than the width.
The dimension of the fence can be found as follows:
Therefore,
perimeter of the rectangular fence = 2(l + w)
where
l = lengthw = widthHence,
l = 9 + w
perimeter of the rectangular fence = 2(w + 9 + w)
perimeter of the rectangular fence = 2(2w + 9)
130 = 4w + 18
130 - 18 = 4w
112 = 4w
w = 112 / 4
w = 28 ft
l = 9 + 28 = 37 ft
Therefore, the width and length of the fencing is 28 ft and 37 ft respectively.
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Solve the following systems of equations using Gaussian Elimination. 2x + 3y + z = 2 y + 5z = 20 -x+2y+3z = 13
Find the inner product of two vectors A = (2, -3,0) and B = = (-1,0,5)
The inner product of two vectors A = (2, -3,0) and B = (-1,0,5) is -2 / √(13×26).
Solving the given system of equations using Gaussian elimination:
2x + 3y + z = 2 y + 5z = 20 -x+2y+3z = 13
Matrix form of the system is
[A] = [B] 2 3 1 | 2 0 5 | 20 -1 2 3 | 13
Divide row 1 by 2 and replace row 1 by the new row 1: 1 3/2 1/2 | 1
Divide row 2 by 5 and replace row 2 by the new row 2: 0 1 1 | 4
Divide row 3 by -1 and replace row 3 by the new row 3: 0 0 1 | 5
Back substitution, replace z = 5 into second equation to solve for y, y + 5(5) = 20 y = -5
Back substitution, replace z = 5 and y = -5 into the first equation to solve for x, 2x + 3(-5) + 5 = 2 2x - 15 + 5 = 2 2x = 12 x = 6
The solution is (x,y,z) = (6,-5,5)
Therefore, the solution to the given system of equations using Gaussian elimination is (x,y,z) = (6,-5,5).
The given two vectors are A = (2, -3,0) and B = = (-1,0,5). The inner product of two vectors A and B is given by
A·B = |A||B|cosθ
Given,A = (2, -3,0) and B = (-1,0,5)
Magnitude of A is |A| = √(2²+(-3)²+0²) = √13
Magnitude of B is |B| = √((-1)²+0²+5²) = √26
Dot product of A and B is A·B = 2(-1) + (-3)(0) + 0(5) = -2
Cosine of the angle between A and B is
cosθ = A·B / (|A||B|)
cosθ = -2 / (√13×√26)
cosθ = -2 / √(13×26)
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A smoothie recipe calls for 3 cups of milk, 2 frozen bananas and 1 tablespoon of chocolate syrup. Create a ratio table that lists the ingredients for 1, 2, 4 & 10 smoothies.
Please help I will give brainliest
Answer:
The ratio of milk to chocolate syrup is 3 to 1.
There are 2 tablespoons of chocolate syrup to 6 cups of milk.
There are 4 tablespoons of chocolate syrup to 8 frozen bananas to 12 cups of milk
Step-by-step explanation:
Answer:
3 cups of milk =2 frozen banana and 1 tablespoon of chocolate syrup
1 cups of milk =2:3frozen banana and 1:3 tablespoon of chocolate syrup
2cups of milk =2*2/3=4:3 frozen banana and 1*2/3=2:3 tablespoon of chocolate syrup
4cups of milk =2*4/3=8:3 frozen banana and 1*4/3=4:3tablespoon of chocolate syrup
10cups of milk =10*2/3=5:3frozen banana and 1*10/3=10:3tablespoon of chocolate syrup
In the figure shown, which pair of angles must be
complementary?
A. ZPQT and ZTQS
B. ZPQT and ZTQR
C. ZPQT and ZPQS
D. ZPQS and ZSQR
Answer:
B. ZPQT y ZTQR
Step-by-step explanation:
*LAST QUESTION, PLEASE HURRY AND ANSWER* What is the volume of the cone below? (Use 3.14 for pi)
Answer:
The third: 5.32 cubic unitsStep-by-step explanation:
R = 1.52
H = 2.2
π = 3.14
\(V=\frac13\pi R^2\cdot H\\\\V=\frac13\cdot3.14\cdot(1.52)^2\cdot2.2=5.3200810\overline6\approx5.32\)
Luisa sells stuffed animals. She sells a stuffed elephant for $34.90, and the sales tax is 9% of the sale price. About how much is the sales tax on the elephant?
$4.90
$0.32
$4.95
$3.15
Answer: $3.15
Step-by-step explanation: 9% of 34.90 is 3.15
What is 10% of 8383929 times 75% 93498
Answer:
48811.5
Step-by-step explanation:
How do i solve this paper?
I feel like my answers are gone and i need help.
Answer:
you have it correct sir
Step-by-step explanation:
A cyclit leave home and ride due eat for a ditance of 45 km. She return home on the ame bike path, if the entire trip take 4 hr , what i her diplacement
The displacement made by the cyclist is 0, this is caused by the same path traveled by the cyclist.
DisplacementDisplacement is the change in position of a moving object relative to a frame of reference. That is, locking is a change in the initial position of the object to the final position of the object.
The displacement in this case is calculated by the Pythagorean theorem.
Displacement² = S₁² + S₂²
The displacement will be zero when the start and end points are the same, that's what makes the problem zero. In the question, the distance traveled by the rider is 45 km, but because there is no position lock because the rider is traveling the same path, the closing done by the cyclist is 0.
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Graph the sine function on the interval [0, 2pi] . The lowest point on the graph occurs at (____,-1 ).
The lowest point on the graph occurs at point (3π/2, -1)
What is sine function graph?One of the three fundamental functions in trigonometry, along with cosine and tan functions, is the sine function.
The ratio of the opposite side of a right triangle to its hypotenuse is known as the sine x or sine theta.
The sine function graph is sinusoidal in nature. This is a sim=ne wave that have smooth periodic oscillation
The attached graph shows sine function graph plotted with the interval [0, 2pi]
The lowest point is observed to occur at (3π/2, -1)
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Roberto took a standardized test and was told that he was in the 63rd percentile of the distribution. Which of the
following statements is true?
O Roberto's location in the distribution of test scores is 63 points from the center.
Roberto scored higher than 63% of the people who were also tested in this distribution.
Roberto scored lower than or equal to 63 people who were also tested in this distribution.
O Roberto scored as well as or higher than 63 people who were also tested in this distribution.
O Roberto scored lower than or equal to 63% of the people who were also tested in this distribution.
Answer:
higher than 63%
Step-by-step explanation:
8 dinosaurs in the valley eat meat and 40 dinosaurs in the valley eat vegetation. What is the unit rate of dinosaurs that eat vegetation to the total number of meat eating dinosaurs in the valley?
Answer:
5
Step-by-step explanation:
8 dinosaurs in the valley eat meat
40 eat vegetation
Therefore the unit rate of dinosaurs that eat vegetation to those that eat meat can be calculated as follows
= 40/8
= 5
Please help! It would be appreciated ! :)
Step-by-step explanation:
(x-9)²
= (x-9)(x-9)
= x²-9x-9x+81
= x²-18x+81
The number of wiretaps authorized each year by the U.S state courts from 1990 to 2010 can be approximated by w(t) = 430e^{0.065t}0\leq t\leq 20
where t is times in years since the start of 1990. Find the total number of wiretaps authorized between 2000 and 2005.
The total number of wiretaps authorized between 2000 and 2005 is approximately 11,271.
To find the total number of wiretaps authorized between 2000 and 2005, we need to evaluate the definite integral of the function w(t) = 430e^(0.065t) over the interval [10, 15]. This will give us the cumulative number of wiretaps authorized during that period.
The integral of w(t) with respect to t can be calculated as follows:
∫[10, 15] w(t) dt = ∫[10, 15] 430e^(0.065t) dt
To evaluate this integral, we can use the power rule of integration for exponential functions. According to the power rule, if we have an integral of the form ∫a^x e^(kx) dx, the result is (1/k) × e^(kx).
Applying the power rule to our integral, we get:
∫[10, 15] 430e^(0.065t) dt = (1/0.065) × e^(0.065t) ∣[10, 15]
Now, let's substitute the upper and lower limits into the expression:
= (1/0.065) × (e^(0.065 × 15) - e^(0.065 × 10))
Evaluating the exponential terms:
= (1/0.065) × (e^(0.975) - e^(0.65))
Calculating the numerical value:
≈ (1/0.065) × (2.648721 - 1.916134)
≈ (1/0.065) × 0.732587
≈ 11.270587
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How to find the derivative of trigonometric function?
To find the derivative of trigonometric function we differentiate by using quotient rule
What are trigonometric function?The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths. They are widely used in all sciences that are related to geometry, such as navigation, solid mechanics, celestial mechanics, geodesy, and many others.
The differentiation of trigonometric functions can be done using the derivatives of sin x and cos x by applying the quotient rule. The differentiation formulas of the six trigonometric functions are listed as follows: Derivation of sin x i.e (sin x)' = cos x. Derivative of cos x i.e (cos x)' = -sin x.
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Thank non so much Chene Inters! thank nen so much Chene Inters! Thank nen semneh Chena inters! That en so much Chean Inters! Thank nen so much Chean Inters! thank nen remneh Chene Inters! Thank you so much Cheos tuters! Thank you so much Cheas tuters! thank you so much Cheao tutor thank you so much Cheos tuters! Thank you so much Cheos tuters! Thank you so much Cheas tuter This is This is The The QuestioQuestion I need I need Help Help With: With: This is This is The The QuestioQuestion I need I need Help Help Write a Regular Expression For this With: With: This is This is The The Questionuestion I need I need Help Help With: With: This is This is language: The Question L = {w = {a,b}* | w has I need Help With: This is odd number of The Question I need a's and ends Help With: This is The Question I need Help With: This is The The Question Question need with b} Please show work neatly and I will thumb up your answer promptly if it makes sense! Do not copy and paste work from other questions or I will give you a thumbs down. I need Help With: Help With: This is This is The The Question Question I need I need Help With: Help
The regular expression is ^(a(aa)*b)$.
Find Regular expression for odd 'a's, ending with 'b'?To create a regular expression for the language L = {w = {a,b}* | w has an odd number of 'a's and ends with 'b'}, we can use the following expression:
^(b|(a(aa)*b))$
Breaking it down:
^ indicates the start of the string.
(b|(a(aa)*b)) matches either 'b' or a sequence of 'a's followed by an odd number of 'a's and 'b'.
(aa)* matches zero or more pairs of 'a's.
$ indicates the end of the string.
This regular expression ensures that the string starts with 'b' or a sequence of 'a's, followed by an odd number of 'a's, and ends with 'b'. Any additional characters or sequences in between are not allowed.
Please note that regular expressions can have different notations and conventions depending on the context or programming language you're using. The expression provided here follows a general pattern that should work in most cases.
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can u help me part 3..
what is the slope when the points are (5, -20) and (-10, 40)
Answer:
m= negative 4
Step-by-step explanation:
1 pts
The probability of Aria's team winning any given game in a 5-game series is 0.3. What is the
probability Aria's team will win exactly 2 games in the series?
Using the binomial probability concept, the probability that Arias team will win exactly 2 games in the series is 0.3087
Recall this binomial probability relation :
\( P(x = x) = nCx \times p^{n} \times q^{n-x} \)
p = probability of success = 0.3Number of trials, n = 5 q = 1 - p = 1 - 0.3 = 0.7x = 2For exactly 2 wins :
\( P(x = 2) = 5C2 \times 0.3^{2} \times 0.7^{3} = 0.3087\)
Hence, the probability of exactly 2 wins is 0.3087
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while performing a test of details during an audit an auditor determined that the sample results supported the conclusion that the recorded account balance was materially misstated. it was in fact not materially misstated. this situation illustrates
When an auditor has performed a test of details during an audit and established that the sample results prove that the recorded account balance was materially misstated while in reality, it was not materially misstated, it illustrates sampling risk.
What is sampling risk?
Sampling risk refers to the likelihood of selecting sample data that are not indicative of the actual data population. It's a danger that arises because the auditor only audits a small portion of the population, which may or may not be representative of the whole population.
To summarize, the scenario presented in the problem statement is an instance of sampling risk.
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how do u do thissss??
reflect this shape in the line y=x :)
Answer:
the x-coordinate and y-coordinate change places.
Step-by-step explanation: so you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed). the line y = x is the point (y, x). the line y = -x is the point (-y, -x).
Consider the ratio of boys to girls of 4:5.
a) What is the total number of parts?
b) What fraction of the total are boys?
c) What fraction of the total are girls?
d)If there were 18 students in total,how many of them are boys?
e)If there were 18 students in total, how many of them are girls?
Step-by-step explanation:
\(a)\)
\(4+5=9 (parts)\)
\(b)\) our total is \(9\) our boys are \(4\\\)
our fraction is \(^4/_9\)
\(c)\) \(^5/_9\)
\(d)\) our whole used to be \(9\) but we doubled it so it is \(18\)
so we double \(4\) which equals \(8\)
\(^8/_{18}\)
\(e)\) \(^{10}/_{18}\)
Brainliest please
One of Carla's friends suggests that she survey only eighth-graders because they are the
oldest and probably know more about the election than younger students. Do you think
this suggestion creates a random sample? Explain.
Answer:
This example is not a random example due to the fact that it is only questioning the eighth-graders. Random sample means that the sample is chosen simply randomly and everyone has an equal opportunity to be apart of the sampling.
Step-by-step explanation: