Final answer:
Explanation of determining between which two consecutive integers a square root lies.To find out between which two consecutive integers numbers like √18, √29, √5, and √79 lie, we use the squares of integers to estimate their positions without a calculator, illustrating these numbers lie between integers whose squares are immediately below and above the given number.
Explanation:
To determine between which two consecutive integers a given square root lies without a calculator:
For<6: √18 is between 4 and 5 because 4< √18<5.
For<5: √29 is between 5 and 6 because 5< √29<6.
For=5: √5 is between 2 and 3 because 2< √5<3.
For>7: √79 is between 8 and 9 because 8< √79<9.
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.
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
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
What is true about a pseudoscientific idea?
It can be replicated and verified.
It is improved with new information.
It ignores parts of the method within an investigation.
It tries to explain natural phenomena by analyzing, observing, and testing.
The answer is (C.) It ignores parts of the method within an investigation.
What is pseudoscience?Pseudoscience is a proposition, a finding, or a system of explanation that is presented as science but that lacks the rigor essential to the scientific method. Pseudoscience can also be the result of research that is based on faulty premises, a flawed experimental design, or bad data.
Among the most notable developments in the history of pseudoscience in the 19th century is the rise of Spiritualism (traced in America to 1848), homeopathy (first formulated in 1796), and phrenology (developed around 1800).
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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
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Factor this trinomial completely. -6x3 + 26x2 + 20x A. -2x(3x + 5)(x - 2) B. -2x(3x + 2)(x - 5) C. -2(3x + 2)(x - 5) D. -2(3x + 5)(x - 2)
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?
What is the equation for the linear model in the scatter plot obtained by choosing the two points closest to the line.
A. y= -1.5x + 6
B. y= 1.5x +6
C. y= 1.5x - 12
D y=2x+6
Option B is correct. The required for the linear model in the scatter plot is y = 1.5x + 6
The standard formula of expressing the equation of a line is;
y = mx + b where;
m is the slope
b is the y-intercept
Using the coordinate points (20,36) and (4, 12)
Get the slope:
[tex]Slope = \frac{12-36}{4-20}\\Slope = \frac{-24}{-16}\\Slope=\frac{3}2}=1.5[/tex]
The point where the line meets the y-axis is the t intercept. From the graph, the y-intercept is b = 6
Get the required equation:
[tex]y=mx+b\\y=1.5x + 6[/tex]
Hence the required for the linear model in the scatter plot is y = 1.5x + 6
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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:
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!
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.
What is the length of side BC of the triangle?
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
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
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
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
If angle p is right angle and angle p and angle q are supplementary then what is angle q
the posted speed limit in many parts of europe is 100km/hr. what is the equivalent speed limit in miles per hour?
Number theory find two consecutive odd positive integers whose product is 323.
4-t=3(t-1)-5 solve the equation
.
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.
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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.
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.
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
An arc that subtends a full angle of 360 degrees is called a(n) ______.
solve the equation -5y-9=-(y-1)
A: -1/2
B: -2, 1/2
C: -2
D: -2/5
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.
Marc earns $4,927 every two months. How much does he earn per year?
Please help!!!! I don’t get this