Answer:
cos x
Step-by-step explanation:
d( 2 + sin x )/DX
= d( 2 )/dx + d( sin x )/dx
= 0 + cos x
= cos x
Note : -
Differentiation of any number with respect to any variable ( here x ) is 0.Differentiation of sin x is cos x.d/dx is the notation to denote Differentiate with respect to x.A square enclosure is to have area 20 square meters. How long will each side be, rounded to two decimal places
Answer:
3.16 m
Step-by-step explanation:
2x² = 20
x² = 10
x = 3.16 m
check:
(3.16)(3.16) = 10
The length of each side of the square rounded to two decimal places will be 4.47 meters.
What is the area of the square?All the sides of a square are congruent. Let a be the side length of the square. Then the area of the square is the square of the side length of the square. Then the area of the square will be
Area of the square = a² square units
A square enclosure is to have an area of 20 square meters. Then the side length of the square will be given by the area of the square. Then the equation is given below.
20 = a²
a = √20
a = 4.47 meters
The length of each side of the square rounded to two decimal places will be 4.47 meters.
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A cookie jar contains four oatmeal raisin, one sugar, nine chocolate chip, and six peanut butter cookies. If one is chosen at random, find each probability.
A) P( oatmeal raisin). B) P( sugar or chocolate chip). C) P ( not peanut butter). D) P ( M&M cookie)
The Chocolate Chip Cookies is the most likely one chosen at random.
Explanation:
The jar contains one sugar, nine chocolate chip, and six peanut butter. Chocolate chip cookies have the highest amount of value in the jar, so if it was chosen at random that would have a higher chance to be chosen than other cookies in the jar.
Use shifts and scalings to graph the given function. The
p(x)= x² + 2x - 6
What is the original function?
y =
(Type an expression. Simplify your answer.)
Answer:
x^2+2x
Step-by-step explanation:
This function was shifted down 6 units.
It does not seem like this function was shifted horizontally since the x value is not being subtracted nor added inside the parentheses. Therefore, the original function would just be p(x) + 6, which would give us x^2+2x.
in a science experiment the intial temperature was 55 degrees faherheit
Answer:
Answer to your question ; f(t) = 55 = 4t
The area of a triangle is 30 square feet. If the height of the triangle is 5 feet, what is the base of the triangle?
Answer:
150
Step-by-step explanation:
Answer:
12 feet
Step-by-step explanation:
Area of a triangle is A = 1/2 b h
Plug in:
Area = 30
Height = 5
30 = 1/2 (5)b
Divide by 1/2:
30 / 1/2 = 60
60 = 5b
Divide by 5:
60 / 5 = 12
12 = b
Base = 12 feet
Here is another one
5. 1 4/5 × 15
Answer:
27 i think
Step-by-step explanation:
A 95% confidence interval for an unknown population mean is given by (9, 12). How should this confidence interval be interpreted?
A) There is a 95% chance the sample mean = 10.5 is within 3 units of the true mean . B) There is a 95% chance the sample mean = 10.5 is within 1.5 units of the true mean .
C) There is a 95% chance the true mean is within 1.5 units of the sample mean = 10.5.
D) There is a 95% chance the true mean is within 1.5 standard deviations of the sample mean = 10.5.
write and find the general solution of the differential equation that models the verbal statement. evaluate the solution at the specified value of the independent variable. the rate of change of p is proportional to p. when t
When t = 3869, the rate of change of p is proportional to p.
What is differential equation?A differential equation in mathematics is an equation that connects the derivatives of one or more unknown functions.
Applications often involve functions that reflect physical quantities, derivatives that depict the rates at which those values change, and a differential equation that establishes a connection between the three. Due to the prevalence of these relationships, differential equations are widely used in many fields, including engineering, physics, economics, and biology.
The primary focus of studying differential equations is on the solutions—the collection of functions that satisfy each equation—as well as the characteristics of those solutions.
Only the most basic differential equations can be solved using explicit formulas, but many features of a particular differential equation's solutions can be deduced without doing an exact calculation.
When a closed-form expression is used, it is common for.
According to our question-
The revised equation is then
P=5000exp(-0.0513t)
Find P at t=5 now.
P=5000 exp(-0.0513×5)
P=5000 ×exp(-0.25647) (-0.25647)
P=5000 × 0.77378
P=3868.89.
P = 3869. Roughly
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Select the correct texts.
A survey was conducted regarding level of education and income. The results of the survey are shown in the table below. Tiffany is a career
counselor. Using the data in the table, she makes conclusions by calculating probabilities related to a randomly selected person from the survey.
Education Level
High School Diploma
Bachelor's Degree
Master's Degree
<$40,000
51
24
3
Total
78
What can Tiffany conclude from the data?
Income
$40,000-$60,000
19
40
22
81
$60,000 Total
76
81
73
230
6
17
48
71
Given a person has only a high school diploma, they are most likely to have an income less than $40,000.
Given a person has only a high school diploma, they are most likely to have an income greater than $60,000.
Given a person has an income greater than $60,000, it is most likely that their highest level of education is a high school diploma
Given a person has an income greater than $60,000, it is most likely that their highest level of education is either a Bachelor's or Master's degree.
The correct answer is that if someone simply gets a high school certificate, their salary is most likely to make less than $40,000.
What exactly is a source of income?In general, the phrase "income" refers to the sum of money, assets, and other transfers that are worth something obtained over a predetermined period period of time as an exchange for goods or services.
Only having completed high school:
51>24>3
Therefore, it is highly likely that they make less than $40,000.
Has a salary of at least 60,000.
6<17<48
Therefore, a Master's degree is most likely their greatest level of education.
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Find the sum of the first 8 terms of the fallowing sequence?
3,15,75,375 …
Answer:
\( \frac{3( {5}^{8} - 1) }{5 - 1} = 292968\)
Find the 97th term of the arithmetic sequence 17, 26,35,...
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Figure A is similar to Figure B. What must always be true?
a.
The corresponding side lengths of A and B are proportional.
c.
The corresponding side lengths of A and B are equal.
b.
The corresponding side lengths of A are twice the corresponding side lengths of B.
d.
The corresponding side lengths of A are half the corresponding side lengths of B.
Option (a) is the correct answer. When two figures are similar, it means they have the same shape but different sizes.
How to solve the question?
In other words, their corresponding angles are congruent, and their corresponding side lengths are proportional.
Option (b) and (d) suggest that the corresponding side lengths of A and B are related by a constant factor (either 2 or 1/2). However, this is not necessarily true for all similar figures. The constant of proportionality can be any positive real number.
Option (c) suggests that the corresponding side lengths of A and B are equal, which means that A and B are not just similar but congruent. This is not necessarily true for all similar figures, as similar figures can differ in size.
Therefore, option (a) is the only answer that must always be true for similar figures. The corresponding side lengths of similar figures are proportional, which means that if one side of figure A is twice as long as a corresponding side of figure B, then all other corresponding sides will also be in the same ratio of 2:1. Similarly, if one side of figure A is three times as long as a corresponding side of figure B, then all other corresponding sides will also be in the same ratio of 3:1. This proportional relationship holds true for all pairs of corresponding sides in similar figures
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Option (a) is the correct answer. The corresponding side lengths of A and B are proportional, must always be true if Figure A is similar to Figure B.
How to find if the figure is similar?When two figures are similar, their corresponding angles are congruent, and their corresponding side lengths are proportional. This means that if we take any two corresponding sides of the figures, the ratio of their lengths will be the same for all pairs of corresponding sides.
Option b and d cannot be true, as they both suggest a specific ratio of corresponding side lengths, which is not necessarily true for all similar figures.
Option c is not necessarily true, as two similar figures can have corresponding side lengths that are not equal but still have the same ratio.
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please help with this i cant figure it out and i dont understand (no explenation needed but is preferred)
Answer:
48.02 cubic feet3193.33 lbStep-by-step explanation:
Various relations are given between the dimensions of the tank. These can be used to find the actual dimensions. The volume can then be found using the volume formula for a rectangular prism.
The weight is the product of the number of cubic feet and the weight per cubic foot.
__
width = (5/7)length . . . . relation between width and length
(7/5)width = length = (7/5)(3.5 ft) = 4.9 ft
__
height = (4/5)width . . . . relation between height and width
height = (4/5)(3.5 ft) = 2.8 ft
__
The volume can now be found:
V = LWH
V = (4.9 ft)(3.5 ft)(2.8 ft) = 48.02 ft³
The tank can store 48.02 cubic feet of milk.
__
The weight will be ...
(48.02 ft³) × (66.5 lb/ft³) = 3193.33 lb
The tank holds approximately 3193.33 pounds of milk.
Which model shows a ratio of 1 white to 2 blue?
3 blue squares and 6 white squares.
4 blue squares and 4 white squares.
4 blue squares and 4 white squares.
6 blue squares and 3 white squares.
Answer:
3 blue squares and 6 white squares
Step-by-step explanation:
1 x 3 = 3
2 x 3 = 6
The answer is 3 to 6.
3 to 6 can be represented by 3 blue squares and 6 white squares.
Answer:
It is the last one. Hope this helps (:
Step-by-step explanation:
round 40408 to the nearest 100
Answer:
40400
Step-by-step explanation:
In order to round down, the tens place has to be less than 5. In this case, the tens place is 0. In order to round up, the tens place has to be greater than or equal to 5.
Dena is buying wallpaper. It costs $8.79 per meter. She needs 120 feet. How much will the wallpaper cost? Round to the nearest half dollar.
Answer:
321.50 dollars.
Step-by-step explanation:
Dena is buying wallpaper. It costs $8.79 per meter. She needs 120 feet. How much will the wallpaper cost? Round to the nearest half dollar.
This is a tricky math problem that requires some conversions and calculations. First, we need to convert feet to meters, because Dena lives in a country that uses the metric system. According to the search results , one foot is equal to 0.3048 meters. So, 120 feet is equal to 120 x 0.3048 = 36.576 meters.
Next, we need to multiply the length of the wallpaper by the price per meter to get the total cost. The total cost is 36.576 x 8.79 = $321.38.
Finally, we need to round the total cost to the nearest half dollar. This means we need to look at the cents part of the cost and see if it is closer to 0, 50 or 100. In this case, 38 cents is closer to 50 than to 0 or 100, so we round up the cost to $321.50.
Therefore, Dena will have to pay $321.50 for the wallpaper. That's a lot of money for some paper that will probably peel off in a few years! Maybe she should consider painting her walls instead.
The PTO is selling raffle tickets to raise money for classroom supplies. A raffle ticket costs $4. There is 1 winning ticket out of the 280 tickets sold. The winner gets a prize worth $62. Round your answers to the nearest cent.
What is the expected value (to you) of one raffle ticket? $
Calculate the expected value (to you) if you purchase 12 raffle tickets. $
What is the expected value (to the PTO) of one raffle ticket? $
If the PTO sells all 280 raffle tickets, how much money can they expect to raise for the classroom supplies? $
The expected values of the raffle ticket for you are given as follows:
One ticket: -$3.76.12 tickets: -$45.12.For the PTO, the expected values are given as follows:
One ticket: $3.76.12 tickets: $45.12.What is the mean of a discrete distribution?The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.
For you, the distribution is given as follows:
P(X = 62) = 1/280.P(X = -4) = 279/280.Hence the expected value for one ticket is given as follows:
E(X) = 62/280 - 4 x 279/280
E(X) = -$3.76.
For twelve tickets, the expected value is given as follows:
12 x -3.76 = -$45.12.
For the PTO, we use the inverse signals, as the distribution is the inverse, that is:
P(X = -62) = 1/280.P(X = 4) = 279/280.More can be learned about the expected value of a discrete distribution at https://brainly.com/question/27899440
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he highest elevation in a country is a mountain, with an altitude of 14,309feet. The lowest elevation in the country is a valley, with an altitude of 288 feet below sea level.
Answer:
Diffrent between altitude = 14,021 ft
Step-by-step explanation:
Given:
Heighest altitude = 14,309 ft
Lowest altitude = 288 ft
Find:
Diffrent between altitude
Computation:
Diffrent between altitude = Heighest altitude - Lowest altitude
Diffrent between altitude = 14,309 - 288
Diffrent between altitude = 14,021 ft
Help i need the answer now please!
Answer:
no
Step-by-step explanation:
The water usage at a car wash is modeled by the equation W(x) = 5x3 + 9x2 − 14x + 9, where W is the amount of water in cubic feet and x is the number of hours the car wash is open. The owners of the car wash want to cut back their water usage during a drought and decide to close the car wash early two days a week. The amount of decrease in water used is modeled by D(x) = x3 + 2x2 + 15, where D is the amount of water in cubic feet and x is time in hours. Write a function, C(x), to model the water used by the car wash on a shorter day. C(x) = 5x3 + 7x2 − 14x − 6 C(x) = 4x3 + 7x2 − 14x + 6 C(x) = 4x3 + 7x2 − 14x − 6 C(x) = 5x3 + 7x2 − 14x + 6
B.F. Retread, a tire manufacturer, wants to select one of three feasible prototype designs for a new tire; A, B, C.
Revenues
Low (0.30) Medium (0.50) High (0.20)
A 120,000 255,000 390,000
B 130,000 295,000 460,000
C 100,000 300,000 480,000
Required:
Calculate the highest value you would pay for a highly reliable forecast.
Answer:
c
Step-by-step explanation:
A lock has a code of 5 numbers from 1 to 25. If no numbers in the code are allowed to
repeat, how many different codes could be made?
Answer:
64,000
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
12345
If you try to write other numbers like 678910, it will be six digits
Please help!!!!!!!!!
Answer:
alternative interior
Determine whether the graph represents a function.
A, the relation is not a function
in order for something to be a function, x (the input) can't repeat itself more than once
1. A target is divided into 100 squares colored in dark blue, white, and light blue. Amber throws a beanbag that lands on the target.
co
9 25
dark blue
What is the probability that it will land on a dark blue square?
26
white
light blue
The probability of landing on the dark blue target is 2/5.
Finding probabilityProbability is the ratio of required to the total possible outcomes of an event.
The required outcome = dark blue= 25Total possible outcomes= entire sample Space = 100P(dark blue ) = 40/100
divide through by 20
P(dark blue ) = 2/5
Therefore, the probability of landing on target is 2/5
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A coat check service charges $2 for the first hour and $1 for each additional hour or fraction of an hour. Which point is NOT included in the graph of the step function?
There is no point that is NOT included in the graph of the step function.
The coat check service charges $2 for the first hour and $1 for each additional hour or fraction of an hour.
To determine the point that is NOT included in the graph of the step function, we need to consider the charging scheme and analyze the pattern of charges.
The step function can be represented as follows:
For the first hour, the charge is a flat rate of $2.
For each additional hour or fraction of an hour, the charge is $1.
Let's analyze the points included in the graph:
(1, 2): This point represents the charge for the first hour, which is $2.
Now, let's consider the additional hours:
2. (2, 3): This point represents the charge for 2 hours, which is $2 for the first hour and $1 for the additional hour.
(3, 4): This point represents the charge for 3 hours, which is $2 for the first hour and $2 for the additional 2 hours.
(4, 5): This point represents the charge for 4 hours, which is $2 for the first hour and $3 for the additional 3 hours.
Based on the charging scheme, we can observe a pattern where the charge increases by $1 for each additional hour or fraction of an hour.
Since the charging scheme allows for any additional hour or fraction of an hour, there is no specific point that is excluded from the graph. Any positive value of x greater than or equal to 1 will have a corresponding point on the graph.
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Help Please!!! Brainliest to any correct answer!!!
1 20 points Which expression is equivalent to 8 + 20? 2(6 + 13) 4(4 + 20) ОООО 4(2 + 5) 2(2 + 10)
Pls answer I will mark
Answer:
its D
Step-by-step explanation:
Answer:
A = x= -8
B = x= 8
C = x= 8
D = x= 8
Answer is A
Consider the distribution of exam scores graded 0 from 100, for 79 students. When 37 students got an A, 24 students got a B and 18 students got a C. How many peaks would you expect for distribution?
Answer:
Three
Step-by-step explanation:
Assuming the grade score from 70 to 100 is A; for grade score from 60 to 69 is B and grade score from 50 to 59 is C. Well it is certain there are three peaks in the distribution of scores