Compare the functions below: f(x) = −3 sin(x − π) + 2 g(x) x y 0 8 1 3 2 0 3 −1 4 0 5 3 6 8 h(x) = (x + 7)2 − 1 Which function has the smallest minimum?
Answer: 8
Step-by-step explanation:
In the triangle abc, the measure of angle a is 40 degrees, and the measure of angle b is 65 degrees. can abc be a right triangle?
A certain species of animal is endangered and it’s numbers are decreasing 12% annually. There are currently 230 animals in the population. Which is an exponential function representing the population and the estimated number of animals in 5 years?
A: f(x)=230(0.88);1012 animals
B:f(x)=230(0.88);121 animals
C:f(x)=230(1.12);1288 animals
D:f(x)=230(1.12);405 animals
Kyle needed to find the solution to a system of equations by graphing. According to the graph, what is the solution?
A) (2,6)
B) no solution
C) imaginary numbers
D) infinite solutions
Kyle needed to find the solution to a system of equations by graphing. According to the graph, what is the solution?
A) (2,6)
B) no solution
C) imaginary numbers
D) infinite solutions
.
A normal probability plot of the survival times of the guinea pigs in a medical experiment is shown below. Use this plot to describe the shape of the distribution of survival times. Then, explain carefully how this shape is seen in the normal probability plot. That is, make the connection between the normal probability plot and the shape of the data.
https://api.agilixbuzz.com/Resz/~hdAcBAAAAAQ99yZmb7l1SA.XDuW_wcASaP2dYyG_RjrDD/62689880,708,1,1,0/Assets/flvs/apstatistics_v9_gs-xml/res0019/01_16a_e.gif
What is the product of (2t + 1) ( t - 4)?
The required solution is 2t^2 -7t - 4.
It is required to find the product of the problem.
What is a distributive property?The distributive property of multiplication lets you simplify expressions wherein you multiply a number by a sum or difference. According to this property, the product of a sum or difference of a number is equal to the sum or difference of the products.
Given that:
By the distributive property to find the product of (2t + 1) ( t - 4).
=(2t +1)(t -4)
= 2t^2 + 1t -8t - 4
= 2t^2 -7t - 4
Therefore, the required solution is 2t^2 -7t - 4.
Learn more about distributive property here:
https://brainly.com/question/6041959
#SPJ2
Final answer:
The product of (2t + 1)(t - 4) is calculated using the FOIL method to be 2t² - 7t - 4.
Explanation:
To find the product of (2t + 1) and (t - 4), we use the distributive property (also known as the FOIL method in this context) to multiply each term in the first binomial by each term in the second binomial. Here is the step-by-step process:
Multiply the first terms: 2t × t = 2t².
Multiply the outside terms: 2t × -4 = -8t.
Multiply the inside terms: 1 × t = t.
Multiply the last terms: 1 × -4 = -4.
Add all the products together to get the final answer: 2t² + -8t + t + -4.
Combine like terms: 2t² - 7t - 4.
Thus, the product of (2t + 1)(t - 4) is 2t² - 7t - 4.
Suppose you buy 1 ticket for $1 out of a lottery of 1000 tickets where the prize for the one winning ticket is to be $1000. what is your expected value?
The expected value of buying a $1 ticket out of a lottery of 1000 tickets where the prize for the one winning ticket is $1000 is approximately -$0.999. This means that, on average, you can expect to lose about $0.999 for each ticket you buy.
Explanation:To calculate the expected value, we need to multiply each possible outcome by its probability and then sum them up. In this case, the possible outcomes are winning $1000 with probability 1/1000 and losing $1 with probability 999/1000. So, the expected value is: ($1000 × 1/1000) + (-$1 × 999/1000) = -$0.999
Therefore, the expected value is approximately -$0.999. This means that, on average, you can expect to lose about $0.999 for each ticket you buy.
A meteor crater is 3300 feet in diameter. Approximate the distance around the crater. Use 3.14 for pie.
circumference = diameter x PI
3300 *3.14 = 10,362 feet
Answer:
Distance around the crater is 10362 feet.
Step-by-step explanation:
Given : A meteor crater is 3300 feet in diameter.
To find : Approximate the distance around the crater. Use 3.14 for pie.
Solution: We have given Diameter = 3300 feet.
Radius = [tex]\frac{Diameter}{2}[/tex].
Radius = [tex]\frac{3300}{2}[/tex].
Radius = 1650 feet.
Circumference = 2 * pi* radius.
Circumference = 2 *3.14* 1650.
Circumference = 3.14 * 3300.
Circumference = 10362 feet.
Therefore, Distance around the crater is 10362 feet.
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What is the reason for Statement 2 of the two-column proof?
A. Linear Pair Postulate
B. Angle Addition Postulate
C. Definition of bisect
D. Definition of angle
The reason for statement 2 of the two-column proof is : Definition of bisect ( optionC).
Since angle RPS is bisected, the two angles in which are formed will be equal. Bisecting an angles means dividing the angle into two equal part.
line PQ bisects RPS into two;
angle QPS = 61°
this means that RPQ is also 61°. Thus it is an acute angle. This is because 61° is an acute angle.
An acute angle is an angle that is less than 90°
Therefore, The reason for statement 2 of the two-column proof is : Definition of bisect
Apply Mathematics (1)(
a. A company’s weekly revenue R is given by the formula R = - p^2+ 30p, where p is the price of the company’s product. The company is considering hiring a distributor, which will cost the company 4p + 25 per week.
The values of price p for the product to remain profitable must be less than 1 and 25.
The value of P that will maximize the profit is 13.
Maximum functionFor the given product to remain profitable, the revenue must continue to be greater than the cost that is R(p) > C(p)
Given the following parameters:
[tex]R(p) = - p^2+ 30p\\C(p)=4p+25[/tex]If R(p) > C(p), then;
[tex]- p^2+ 30p>4p+25\\p^2-26p+25<0[/tex]
Factorize to get the value of p
[tex]p^2-p-25p+25<0\\p(p-1)-25(p-1)<0\\(p-1)(p-25)<0\\p<1 \ and \ p<25[/tex]
Hence the values of price p for the product to remain profitable must be less than 1 and 25
To maxmimize the profit, dP/dp = 0
Profit = Revenue - Cost
Profit = [tex]- p^2+ 30p - 4p - 25[/tex]
Profit = [tex]-p^2+26p-25[/tex]
Differentiate the function and equate to zero;
[tex]dP/dp = -2p+26\\-2p + 26 = 0\\-2p = -26\\p=13[/tex]
Hence the value of P that will maximize the profit is 13
Learn more on cost and revenue functions here: https://brainly.com/question/25638609
Antia has 300 in her savings account that earns 5% annually.the interest is not compounded.how much interest will she earn in 1 year
Two angles form a linear pair. the measure of one angle is eight times the measure of the other angle. find the measure of the larger angle.
Spencer has a rectangular garden. The length and width are both odd numbers and the perimeter is 16 feet. What can be the area of his garden? Find all possible answers.
Area of rectangle = length x width
Perimeter of rectangle = 2 x (length + width)
Now we know that perimeter of rectangle = 16
2(length + width) = 16
Length + width = 16/2
Length + width = 8
Now the value of length and width is that if we add both values we have the answer 8.
So, here are some possible values of length and width and also that length and width are odd numbers;
Odd numbers are = 1,3,5,7,….
7 + 1 = 8
5 + 3 = 8
So, either length is 7 and with is 1 or length is 5 and width is 3
So area of rectangle = 7 x 1 = 7 or 5 x 3 = 15
Thus, the possible values of area of rectangle are 7 ft² and 15 ft².
If angle p is right angle and angle p and angle q are supplementary then what is angle q
What is the length of side BC of the triangle?
What is another way to express 42 + 24
Final answer:
To express 42 + 24 differently, one might use the commutative property (24 + 42), break the numbers into tens and ones (40 + 20 + 2 + 4), or use rounding to aid mental addition (60 + 6). Each method simplifies the problem while reaching the same correct answer.
Explanation:
Another way to express 42 + 24 could be by rearranging the numbers to use commutative property of addition or by changing one or both of the numbers into a sum that makes mental addition easier. For example:
24 + 42 - Which uses the commutative property of addition, meaning that numbers can be added in any order and the result will be the same.
40 + 20 + 2 + 4 - Here we break down both numbers into tens and ones and add them separately.
60 + 6 - By rounding 42 up to the nearest ten (40) and adding 20, you get 60 plus the remaining 2 and 4 to add up to 6.
Each method provides a different way of reorganizing the original problem to potentially simplify the adding process or to suit mental math strategies. Remember, arithmetic has specific rules, but there's flexibility in how we apply them to reach the same correct answer. This shows the beauty and versatility of mathematics.
Final answer:
To express 42 + 24 differently, one can use the commutative property (24 + 42), factor out common numbers (2(21 + 12), or round and adjust (60 + 6), showcasing the variety of methods mathematics provides to reach the same answer.
Explanation:
The question asks for an alternative way to express the sum 42 + 24. One strategy is to use properties of numbers and operations to simplify and find patterns that make it easier to perform calculations in our head. For instance, using commutative property of addition, we can restate 42 + 24 as 24 + 42. Moreover, we can utilize the distributive property by factoring out a common number to make the addition easier, such as expressing it as 2(21 + 12) since both 42 and 24 are divisible by 2, or 6(7 + 4) if you notice that both numbers are divisible by 6. It's also possible to round numbers up, perform the addition, and then adjust back, for example: (40 + 20) + (2 + 4) which simplifies to 60 + 6. Each of these methods provides a different path to the same correct answer, exemplifying that mathematics offers numerous ways to solve a problem, which ultimately reinforces our understanding.
solve the equation -5y-9=-(y-1)
A: -1/2
B: -2, 1/2
C: -2
D: -2/5
During a promotional weekend, a state fair gives a free admission to every 175th person who enter the fair.On Saturday, there were 6742 people attending the fair .how many people received a free admission over the two days
The cost of a notebook is twice the cost of a pen. Write a linear equation in two variables to represent this statement.
Number theory find two consecutive odd positive integers whose product is 323.
Which undefined geometric term is described as an infinite set of points that has length but not width?
a. distance
b. line
c. plane
d. postulate
An arc that subtends a full angle of 360 degrees is called a(n) ______.
which number is a solution of the inequality?
y>1.9
A.-9
B.-2
C.2
D.1.9
Answer: The answer is C
Estimate how many times larger 7 x 10^10 is than 13 x 10^8.
A) 50 times larger
B) 100 times larger
C) 200 times larger
D) 400 times larger
Answer:- A) is the right answer.[tex]7\times10^{10}[/tex] is 50 times larger than [tex]13\times10^{8}[/tex]
Explanation:-
To estimate the number of times [tex]7\times10^{10}[/tex] is larger than [tex]13\times10^{8}[/tex]
Let [tex]7\times10^{10}[/tex] is larger than [tex]13\times10^{8}[/tex] by n times.
then [tex]7\times10^{10}[/tex] [tex]=n\times13\times10^{8}[/tex]
[tex]\Rightarrow\ n=\frac{7\times10^{10}}{13\times10^{8}}\\\\\Rightarrow\ n=\frac{7\times10^{10-8}}{13}.......[by\ law\ of\ exponents\ \frac{a^m}{a^n}=a^{m-n}]\\\\\Rightarrow\ n=\frac{7\times10^2}{13}\\\\\Rightarrow\ n=\frac{7\times100}{13}\\\\\Rightarrow\ n=\frac{700}{13}=53.84\approx50[/tex]
[as 53.84 is near to 50 by rounding off it to the nearest ten it becomes 50]
Thus [tex]7\times10^{10}[/tex] is 50 times larger than [tex]13\times10^{8}[/tex]
A company sells songs online for $1.29 per song. If they sold 2000 songs in one day, how much money did they make that day?
Answer:
its D
Step-by-step explanation:
USA TP
4-t=3(t-1)-5 solve the equation
PLEASE HELP: Find the equation of a line that is perpendicular to y=2x+7, and passes through the point (-4, 7). SHOW YOUR WORK *
Marc earns $4,927 every two months. How much does he earn per year?
What plane contains points E, F, and H?
A) The plane on the top of the figure.
B) The plane on the bottom of the figure.
C) The plane on the front of the figure.
D) The plane that passes at a slant through the figure.
Answer:
The answer to your question is B
The plane on the bottom of the figure
Trust me on this its the right answer I had the same question and got it correct!
Please help!!!! I don’t get this