How large in square meters is the land area of australia (2941526 mi 2)?
Final answer:
The land area of Australia is roughly 7.62 trillion square meters, calculated by multiplying the area in square miles (2,941,526) by the conversion factor of 2,590,000 square meters per square mile.
Explanation:
The student is asking for the conversion of Australia's land area from square miles to square meters. To convert square miles to square meters, we use the conversion factor that 1 square mile is equal to 2.59 square kilometers or 2,590,000 square meters. Therefore, the land area of Australia in square meters is calculated by multiplying the area in square miles by the conversion factor:
2,941,526 mi2 × 2,590,000 m2/mi2 = 7,619,652,340,000 m2
The land area of Australia is approximately 7.62 trillion square meters.
One number is 33 more than another number. The quotient of the larger number and smaller number is 5 and the remainder is 1. Find the numbers.
Final answer:
The two numbers in question are 8 and 41.
Explanation:
Step-by-Step Solution to Find the Two Numbers
Let the smaller number be x. Thus, the larger number would be x + 33. According to the problem, the larger number divided by the smaller number gives a quotient of 5 and a remainder of 1. We can represent this information using the following equation:
(x + 33) = 5x + 1
This equation states that when the larger number is divided by the smaller number, we obtain a quotient of 5 and a remainder of 1.
Now, let's solve the equation for x:
Subtract 5x from both sides of the equation: (x + 33) - 5x = 1Simplify the equation: -4x + 33 = 1Subtract 33 from both sides: -4x = -32Divide both sides by -4: x = 8Since we have found the smaller number to be 8, the larger number is:
8 + 33 = 41
Therefore, the two numbers are 8 and 41.
The modulus operator would confirm our solution since 41 % 8 does indeed yield a remainder of 1, as stated in the problem.
Which is the graph of g(x) = 2x – 1 + 3?
Answer:
The graph given can be further simplified as follows:
[tex]g(x)=2x+2[/tex]
I have drawn and attached the graph with the answer.
Step-by-step explanation:
The graph given can be further simplified as follows:
[tex]g(x)=2x-1+3[/tex]
[tex]g(x)=2x+2[/tex]
Slope of the graph is 2 as x has a coefficient of 2 and intercept is 2.
To graph the above substitute several values to x and calculate the corresponding g(x) values.
[tex]g(1)=2*1+2\\g(1)=4[/tex]
So when x=1, g=4
[tex]g(3)=2*3+2\\g(3)=8[/tex]
So when, x=3, g=8
Calculate several values in the same way and then plot the values is a Cartesian plane, x values in x axis and take g(x) values as y axis.
Then you will get a few dots in a straight line, join those dots with a line and that is the graph.
I have drawn and attached the graph with the answer.
Answer:
The graph is shown below.
Step-by-step explanation:
The given function is
[tex]g(x)=2^{x-1}+3[/tex]
It is an exponential function.
The given exponential function is defined for all real numbers. So, the domain of given function is all real numbers.
Domain = { x | x ∈ R }
Domain = (-∞,∞)
We know that
[tex]2^{x-1}>0[/tex]
Add 3 on both sides.
[tex]2^{x-1}+3>0+3[/tex]
[tex]g(x)>3[/tex]
Range of the function is
Range = (3,∞)
Table of values is
x y
0 3.5
1 4
2 5
Plot these point on a coordinate plane.
The graph of given function is shown below.
What is the correct solution for the arithmetic expression (2+8)/2*9/3 using the order of operations employed by oracle 12c when solving equations??
The order of operations is the steps used to simplify any mathematical expression. Order of operations refers to which operations should be performed in what order and it is denoted by PEMDAS, This means that you should do what is possible within parentheses first, then exponents, then multiplication and division (from left to right), and then addition and subtraction (from left to right). If parentheses are enclosed within other parentheses, work from the inside out.
[tex] (2+8)/2*9/3\\ Performing \; the \; operation\; in\; Parenthesis\; first\\ \\ 10/2 *9/3\\ Dividing \; 10/2\; from\; left\; to\; right\\ \\ 5*9/3\\ Multiply\; from\; left\; to\; right\\ \\ 45/3\\ Divide \; to\; get\; final\; answer\\ \\ 15 [/tex]
Conclusion:
The correct solution for the arithmetic expression (2+8)/2*9/3 using the order of operations is 15
From a top-down 2D perspective, a car moves in a diagonal line and travels a distance equivalent to 80 miles. If the angle between the diagonal line and a horizontal reference line is 25 degrees, how far did the car travel horizontally and vertically? If necessary, round your answers to the nearest tenth of a mile. Horizontal distance? Vertical distance?
The human population doubles approximately every 50 years. If there were 2.5 million people in 1950, how many people are forecasted to populate the earth in 2050?
write the integer 9 as m/n in simplest form where m and n are integers
The formula for the volume of a sphere is V=4/3 3.14r^3. What is the formula solved for r?
The height of the pyramid in the diagram is three times the radius of the cone. The base area of the pyramid is the same as the base area of the cone. What is the expression for the volume of the pyramid in terms of the radius r of the cone?
The volume of the pyramid is πr³ cubic units. Then the correct option is A.
What is the volume of the pyramid?Suppose the base of the pyramid has length = L units, width = W units, slant height = K units, and the height of the pyramid is of H units.
Then the volume of the pyramid will be
V = (A × H) / 3
V = (L × B × H) / 3
Where, A is the base area of the pyramid.
Let r be the radius of base circle of the cone.
The height of the pyramid in the diagram is three times the radius of the cone.
Then the height of the pyramid will be 3r.
The base area of the pyramid is the same as the base area of the cone.
Base area of pyramid = Base area of cone
Base area of pyramid = πr²
Then the volume of the pyramid will be
Volume of pyramid = (1/3) x πr² x (3r)
Volume of pyramid = πr² x r
Volume of pyramid = πr³ cubic units
The volume of the pyramid is πr³ cubic units.
Then the correct option is A.
Complete question is attached below.
More about the volume of the pyramid link is given below.
https://brainly.com/question/23302816
#SPJ5
a cell phone company sold 4,000 cell phones in the month of November. In December, the company held its annual sale and sold 22 percent more cell phones than it did in November. In January , the company experienced its slowest month , managing to sell only 50 percent of the number of cell phones sold during the month of December. What is the total number of cell phones sold by the company during the three months combined ?
What are the zeros of the function f(x)=3x^2-3x-6
f=11gh solve the formula for the variable h.
The formula f=11gh can be solved for h by dividing both sides of the equation by 11g. This will give h = f / (11g), where h is isolated on one side of the equation.
Explanation:To solve the formula f=11gh for the variable h, we need to isolate h on one side of the formula. The current formula tells us that the value of f is equal to the result of 11 times g times h.
As our goal is to solve for h, we can do this by dividing both sides of the equation by 11g. In doing so, the 11g on the right side of the equation will cancel out, leaving us with just h on one side.
So the formula solved for h will look like this:
h = f / (11g).
https://brainly.com/question/28552170
#SPJ2
Consider a normal population distribution with the value of σ known. (a) what is the confidence level for the interval x ± 2.88σ/ n ? (round your answer to one decimal place.) % (b) what is the confidence level for the interval x
The confidence level for the interval x ± 2.88σ/√n is approximately 99.9%. The term 'confidence level' speaks to how frequently the true value of the parameter would be inside the interval for replicated experiments. Without additional information, we cannot compute the confidence level for just 'x'.
Explanation:In statistics, a formula exists to find the confidence interval. For the interval x ± 2.88σ / √n, the confidence level is nearly 99.9%. We find this by referring to the z-table (standard normal table) with a z-score of 2.88. This leaves 0.05% in each tail of the distribution.
On the topic of confidence levels, a 95% confidence interval implies that if you were to take 100 random samples from your population, approximately 95 of those samples would capture the true population parameter.
For the other part of your question, when we talk about the interval x, it doesn't provide enough detail to calculate a confidence level. It needs to be stated in context of the standard deviation and the sample size.
Learn more about Confidence Intervals here:https://brainly.com/question/34700241
#SPJ3
a sheep breeding farm counted a total of 40 sheep on their grounds after one year the number of sheep doubled then in the next year the number of sheep doubled again if this trend continues which of the following options represents the number of sheep on the farm by then end of each year
Hilda has $210 worth of $10 and $12 stock shares.
The number of $10 shares is five more than twice the
number of $12 shares. How many of each type of share
does she have?
what does 4x+5x-30=180 equal
Combining like terms gives
9x−30=180. Adding 30 to both sides yields
9x=210. Dividing by 9, we find x=23.3333.
To solve the equation
4x+5x−30=180, we first combine like terms:
4x+5x=9x
So the equation becomes:
9x−30=180
Next, we isolate the variable
x by adding 30 to both sides:
9x=180+30
9x=210
Finally, we divide both sides by 9 to solve for
Simplify the expression. 103 + 33 ÷ 3 A. 10,011 B. 21 C. 1011 D. 111
tim has 30 grapes. he keeps 9 grapes for himself. then he gives 7 grapes each to some of his friends. to how many friends does tim give grapes?
Alice has 1/5 as many miniature cars as Sylvester has Sylvester has 35 miniature cars how many miniature cars does alic have?
Final answer:
Alice has 1/5 as many miniature cars as Sylvester, who owns 35. By multiplying 35 cars by 1/5, we find that Alice has 7 miniature cars.
Explanation:
The student's question is about finding the number of miniature cars Alice has if she has 1/5 as many as Sylvester, who has 35 miniature cars. To solve this, we use the following mathematical operation:
Alice's miniature cars = 1/5 of Sylvester's miniature cars
Sylvester's miniature cars = 35 cars
To find out how many miniature cars Alice has, multiply the number of Sylvester's miniature cars by 1/5:
35 cars x 1/5 = 7 cars
Therefore, Alice has 7 miniature cars.
write an expression with a value of 10. it should contain four numbers and two different operations
[x÷(y–1)](−4)–[xy+(−3)]÷(−1) if x=−5, y=−2
Answer:
94
Step-by-step explanation:
1 89
2321
33
214
Dante Michael's charge account statement showed a previous balance of $277.45 a finance charge of $3.22 new purchases of $299.33 and a payment of $316.00. what is the new balance?
What is the exact value of 400,000x200
Answer:
80,000,000
Step-by-step explanation:
We can rewrite this expression as:
(4 x 10⁵) x (2 x 10²)
To solve this, we multiply first 4 x 2 = 8 and then we multiply the powers of ten using law of exponents:
10⁵x10²= 10₇.
Therefore, the answer is: 8 x 10⁷. If we write it in decimal form we would have:
80,000,000
Measure the length of the top of your desk in centimeters.describe how you found the length
Tell what each of the residual plots below indicates about the appropriateness of the linear model
Residual plots can indicate the appropriateness of a linear model by examining patterns and deviations of the residuals.
Explanation:A residual plot is a graph that shows the difference between the observed and predicted values in a linear regression model. It helps to assess the appropriateness of the linear model by examining the patterns and deviations of the residuals. In the first graph, there seems to be a systematic pattern and non-randomness in the residuals, indicating that the linear model may not be appropriate. However, in the second graph, the residuals are randomly scattered around zero with no evident pattern, suggesting that the linear model is more appropriate.
Learn more about Residual plots and linear regression here:https://brainly.com/question/33544233
#SPJ3
The area of a triangle is 1440cm^2 the base of tge triangle is 5 times the height of the triangle
A book us in the shape of a right rectangle prism. It measures 8 1/2 inches tall, 7 inches wide and 2 1/3 inches thick. What is the volume of the book
if the circumference of a circle measures 3π cm, what is the area of the circle in terms of π?
The area of the given circle, in terms of pi, is:
A = (9/4)pi cm^2
How to find the area of the circle?We know that for a circle of radius R, the circumference is:
C = 2*pi*R
And the area is:
A = pi*R^2
In this case, we know that:
C = 3pi cm = 2pi*R
Then we must have:
3cm = 2R
(3/2)cm = R
Now we can replace this on the area equation:
A = pi*((3/2)cm)^2 = pi*(9/4) cm^2
If you want to learn more about circles, you can read:
https://brainly.com/question/1559324
Maritza is buying a multipack of 3 pairs of socks for $25.98. She will save $6.24 by buying the multipack instead of buying 3 individual pairs of the same socks.
If each pair of socks costs the same amount, how much does each pair of socks cost when bought individually?
Let u = <-6, 1>, v = <-5, 2>. Find -4u + 2v.
A) <34, -8>
B) <14, 0>
C) <14, 3>
D) <44, -12>