Answer:
4/5 or 16/20
Step-by-step explanation:
did my best with the info provided
Answer:
4/5
Step-by-step explanation:
8/10 = 80% 1. / the fraction by 2
4/5 = 80%
Nicholas Has a very large soup pot shaped like a cylinder that has a height of 20 inches and a radius of 6 inches. How much soup can Nicholas’s soup pot hold ?
Answer:
2262 in³
Step-by-step explanation:
Given that:
Height, h = 20 inches
Radius, r = 6 inches
Volume of a cylinder is given as :
V = πr²h
V = π * 6² * 20
V = π * 36 * 20
V = 2261.9467 in³
Hence, Nicholas pot can hold about 2262 in³ of soup
The equation $f\left(x\right)=2x-9$ translated 6 units up is $g\left(x\right)=$ .
The equation f(x) = 2x - 9 translated 6 units up, then the equation g(x) = 2x-3
The equation is
f(x) = 2x - 9
Then it is translated 6 units up
The translation is the process of moving the shape to left/right of up or down. During the translation process the shape and size of the graph will not change. In translation we are only changing the coordinates of the points of the shape.
Here it is translated 6 units up.
During the upward motion it will be positive
g(x) = f(x) + 6
Substitute the value of f(x)
g(x) = 2x-9 + 6
g(x) = 2x-3
Hence, the equation f(x) = 2x - 9 translated 6 units up, then the equation g(x) = 2x-3
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3. Sohail needs to take a 4-day loan of $750 000 for his small business. How much interest will he need to pay if
interest is charged at 2.2% per year, simple interest?
a. $90.41
b. $542.47
d. $180.82
c. $361.64
Answer:
180.82
Step-by-step explanation:
750,000 x .022=16,500 per year
16,500/365 days =45.2055/day
45.2055 x 4 days = 180.82
Jamie and Linda are having a contest to see whose photo will get more "likes" on social media.
Jamie's photo got 75 likes by the end of the first day and is getting 36 more likes each day.
Linda's likes can be modeled by the function f(x)=18(2)x.
Which statements are true? Select all that apply.
Hint: Use a table or graph to compare the number of likes that Jamie and Linda get. Remember that the value of the function at x=1 represents number of likes at the end of the first day.
Answer:
2) Jamie's photo gets more likes within the first three days than Linda's photo.
Let R be the region between the functions y = x2 and
y = 8 −x2. Set up the iterated double
integral in rectangular coordinates for ∫∫Ry dA. Do not
evaluate the integral. (You must draw a sketch.
The integral for the surface area is \(Area = \int\limits^2_{-2} {8 - 2x^2} \, dx\)
How to set up the integral for the surface areaFrom the question, we have the following parameters that can be used in our computation:
y = x² and y = 8 - x²
The intervals where curve intersect is
-2 ≤ x ≤ 2
For the surface area between around the region bounded by the curves, we have
Area = ∫[a, b] [f(x)] dx
This gives
\(Area = \int\limits^2_{-2} {8 - x^2 - x^2} \, dx\)
Evaluate
\(Area = \int\limits^2_{-2} {8 - 2x^2} \, dx\)
Hence, the integral for the surface area is \(Area = \int\limits^2_{-2} {8 - 2x^2} \, dx\)
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A store has a sale where all shirts are sold at a discount of 20%. If the regular price of the shirts is $20, how many shirts could be bought at the same price if a shopper spent $240?.
The shopkeeper buys 15 shirts for $240.
The difference in price between the item's purchase price and par value is the discount. The cost price of a product can be reduced or subtracted in the form of a discount. When customers receive discounts on various goods through consumer transactions, it is primarily used. Using percentages, the discount rate is provided.
Given that a store has a sale where all shirts are sold at a discount of 20%. If the regular price of the shirts is $20.
We have to determine the number of shirts purchased for $240.
The regular price of a shirt = 20
If 20% discount is given then
20 x (20/100)
= 20 x (1/5)
= 20/5
= 4
Discount = 4
After giving a discount the price of the shirt is
20 – 4
= 16
The cost price of each shirt is 16
1 shirt = $16
? = $240
= 240/16
= 15
Therefore the shopkeeper buys 15 shirts for $240
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Question 1 (t) Express (3x)2 in radical form. 12 (3x) ¹2 = - To get 2x type root(9)(2x) Question 2 29x10 Express 29x10 in radical form. To get 2x type root(9)(2x) Question 3 W13- To get 7 type 7^(1/9
To express (3x)2 in radical form, we start by understanding that raising a number to the power of 2 means multiplying the number by itself. In this case, we have (3x)2, which means we need to multiply 3x by itself.
Step 1: Multiply 3x by itself: (3x) * (3x) = 9x²
So, (3x)2 can be expressed in radical form as √(9x²).
The expression 29x10 cannot be expressed in radical form because there is no power or exponent involved. Radical form is used to represent expressions with roots or exponents.
To express W13 in radical form, we need to understand that the expression 7^(1/9) represents the ninth root of 7.
Step 1: Take the ninth root of 7: ∛7
So, W13 can be expressed in radical form as ∛7.
(3x)2 can be expressed in radical form as √(9x²).
29x10 cannot be expressed in radical form because there is no power or exponent involved.
W13 can be expressed in radical form as ∛7.
To express an expression in radical form, we need to understand the power or exponent involved and apply the appropriate radical operation.
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Jackson asked a representative sample of 30 of his classmates about their favorite arctic animal for an upcoming science project.
Fill in the table to show reasonable predictions for the whole class.
His class has a total of 240 students.
Favorite Arctic Animal
Polar Bear 12
Reindeer 9
Seal 3
Walrus 6
Answer:
These are the estimates:
Polar Bear: 96
Reindeer: 72
Seal: 24
Walrus: 48
Step-by-step explanation:
240/30=8
Multiply the amount of people that like each animal by 8 to estimate how many out of 240 like that animal.
12*8=96
9*8=72
3*8=24
6*8=48
for the following data set please answer the questions below. please show your work 338, 318, 353, 313, 318, 326, 307, 317, 311, 311 1. five-number summary 2. interquartile range 3. outliers 4. when removing the outliers, how will this effect the mean?
The mean of the original data set is: mean = (338 + 318 + 353 + 313 + 318 + 326 + 307 + 317 + 311 + 311) / 10 = 323.2
To find the five-number summary, we need to order the data set from smallest to largest:
{307, 311, 311, 313, 317, 318, 318, 326, 338, 353}
The five-number summary is as follows:
Minimum: 307
First quartile (Q1): 311
Median (Q2): 317.5 (average of the 5th and 6th values)
Third quartile (Q3): 326
Maximum: 353
The interquartile range (IQR) is the difference between the third quartile (Q3) and the first quartile (Q1). In this case:
IQR = Q3 - Q1 = 326 - 311 = 15
To identify any outliers, we need to calculate the lower and upper bounds:
Lower bound = Q1 - 1.5 × IQR = 311 - 1.5 × 15 = 289.5
Upper bound = Q3 + 1.5 × IQR = 326 + 1.5 × 15 = 347.5
Any values that are less than the lower bound or greater than the upper bound are considered outliers. In this case, there are no outliers.
Removing outliers will not affect the median or quartiles, but it will affect the mean. In this case, since there are no outliers, removing values will not affect the mean. The mean of the original data set is:
mean = (338 + 318 + 353 + 313 + 318 + 326 + 307 + 317 + 311 + 311) / 10 = 323.2
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subtract 3x²-5x+7from5x²-7x+9
Answer:
\(2x^2-2x+9\)
Step-by-step explanation:
\(5x^2-7x+9-3x^2+5x\\=5x^2-3x^2-7x+5x+9\\= 2x^2-2x+9\)
An independent basic service set (IBSS) consists of how many access points?
An independent basic service set (IBSS) does not consist of any access points.
In an IBSS, devices such as laptops or smartphones connect with each other on a peer-to-peer basis, forming a temporary network. This type of network can be useful in situations where there is no existing infrastructure or when devices need to communicate with each other directly.
Since an IBSS does not involve any access points, it is not limited by the number of access points. Instead, the number of devices that can be part of an IBSS depends on the capabilities of the devices themselves and the network protocols being used.
To summarize, an IBSS does not consist of any access points. Instead, it is a network configuration where wireless devices communicate directly with each other. The number of devices that can be part of an IBSS depends on the capabilities of the devices and the network protocols being used.
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Mr Jones goes to the bank and loans $23000 for his car. He needs to pay a simple interest of 7.3% for 8 years. After 5 years the interest decreases to a 6.2%. How much did Mr Jone pay in full?
SOLUTION:
The amount Mr. Jones had to pay initially in total over the 8 years is;
\(A=P+\frac{PRT}{100}\)Inserting the values of P, R, and T, we have;
\(\begin{gathered} A=23000+\frac{23000\times7.3\times8}{100} \\ \\ A=\text{ \$}36432 \end{gathered}\)Now, if this is spread over 8 years, In 5 years, Mr. Jones will pay;
\(\)Is the differential equation (cos x cos y + 4y)dx + (sin x sin y + 10y)dy = 0 exact? yes no
F(x,y) = y\(e^{xsiny + xy - sinx}\) + ∫sin y\(e^{xsiny + xy - sinx}\)dx is a solution to the original differential equation.
Here, we have,
This is a first-order nonlinear differential equation, which is not separable or linear. However, it is possible to use an integrating factor to solve it.
The first step is to rearrange the equation into the standard form:
(y cos x + sin y + y)dx + (sin x + x cos y + x)dy = 0
Next, we need to identify the coefficient functions of dx and dy, which are:
M(x,y) = y cos x + sin y + y
N(x,y) = sin x + x cos y + x
Now we can find the integrating factor, which is defined as a function u(x,y) that makes the equation exact. The integrating factor is given by:
u(x,y) = \(e^{(\int\,(N(x,y) - dM/dy) dy) }\)
where ∂M/∂y is the partial derivative of M with respect to y.
Evaluating this integral, we get:
u(x,y) = \(e^{xsiny + xy - sinx}\)
Multiplying both sides of the original equation by the integrating factor, we get:
(\(e^{xsiny + xy - sinx}\)) [y cos x + sin y + y])dx + (\(e^{xsiny + xy - sinx}\) [sin x + x cos y + x])dy = 0
This equation is exact, which means that there exists a function F(x,y) such that ∂F/∂x = M(x,y) and ∂F/∂y = N(x,y). We can find this function by integrating M with respect to x, while treating y as a constant, and then differentiating the result with respect to y:
F(x,y) = ∫(y cos x + sin y + y)\(e^{xsiny + xy - sinx}\)dx = y\(e^{xsiny + xy - sinx}\) + ∫sin y\(e^{xsiny + xy - sinx}\)dx
Now we can differentiate F with respect to y, while treating x as a constant, and compare the result with N:
∂F/∂y = x\(e^{xsiny + xy - sinx}\) + cos y\(e^{xsiny + xy - sinx}\) + \(e^{xsiny + xy - sinx}\)
= sin x + x cos y + x
Therefore, F(x,y) = y\(e^{xsiny + xy - sinx}\) + ∫sin y\(e^{xsiny + xy - sinx}\)dx is a solution to the original differential equation.
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complete question:
Solve (y cos x + sin y + y)dx + (sin x + x cos y + x)dy = .0
For Functions below provide the tightest fit of a growth function
a) f(n)= n^2+n-7
b) f(n)=((5n=2)/3)^2
c) f(n)= ((n-1)^2 / 2) + (u^2/7)
a. The tightest fit for this function would be the growth function f(n) = n^2.
b. The tightest fit for this function would be the growth function f(n) = n^4.
c.The tightest fit for this function would be the growth function f(n) = n^2.
To find the tightest fit of a growth function for each of the given functions, we are looking for a function that approximates the growth behavior of the given function as closely as possible.
a) f(n) = n^2 + n - 7:
The dominant term in this function is n^2. Therefore, the tightest fit for this function would be the growth function f(n) = n^2.
b) f(n) = ((5n^2)/3)^2:
The dominant term in this function is (5n^2)^2 = 25n^4. Therefore, the tightest fit for this function would be the growth function f(n) = n^4.
c) f(n) = ((n-1)^2 / 2) + (u^2 / 7):
Since the variable 'u' is not defined in the function, it is difficult to determine the exact growth behavior. However, if we assume 'u' to be a constant, the dominant term in this function is (n-1)^2. Therefore, the tightest fit for this function would be the growth function f(n) = n^2.
Keep in mind that determining the tightest fit of a growth function requires considering the dominant term or terms that contribute the most to the overall growth of the function.
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2. What is the name of the ray that is opposite RP?
Answer:
its pr
Step-by-step explanation:
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Solve. 4n - 6 (n + 1) > 12 (first blank is the inequality sign, second blank is the value) n
The solution to the inequality is: n < -9.
How to Solve an Inequality?Given the inequality statement, 4n - 6 (n + 1) > 12, to solve for the value of n, we would isolate the n to one side of the inequality as shown below:
4n - 6 (n + 1) > 12
Distribute
4n - 6n - 6 > 12
Combine like terms
-2n - 6 > 12
-2n - 6 + 6 > 12 + 6
-2n > 18
Divide both sides by -2
-2n/-2 < 18/-2
n < -9
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What equation represents 10 less than the product of 7 and a number is 18?
The equation which correctly represents the word phrase; 10 less than the product of 7 and a number is 18 is; 7n - 10 = 18.
What equation correctly represents 10 less than the product of 7 and a number is 18?It follows from the task content that the equation which correctly represents 10 less than the product of 7 and a number is 18 be determined.
By interpreting each segment of the statement;
The product of 7 and a number can be written algebraically as; 7 × n = 7n.
Since the product statement has been analysed and has been expressed algebraically as 7n; it follows that the compound statement;
10 less than the product of 7 and a number can be written algebraically as;
7n - 10.
Therefore, the equation which represents the statement; 10 less than the product of 7 and a number is 18 is; 7n - 10 = 18.
Ultimately, the required algebraic equation is; 7n - 10 = 18.
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Is the function y = 3x - 9 linear or nonlinear?
Answer:
Nonlinear
Step-by-step explanation:
Does not go through the origin on a graph
Can we form a triangle with length 4cm 5cm 9cm?.
Answer:
No. It is not possible to construct a triangle with lengths of its sides 4cm, 5cm and 9cm because the sum of two sides is not greater than the third side:
5 + 4 is not greater than 9.
Step-by-step explanation:
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If 3^x = 3^y, what is the relationship between x and y?
Answer:
x = y
Step-by-step explanation:
If the base of an exponent is the same, the exponents are also equal
Rewrite 2,460,000 in scientific notation.
2.46 x 106
2.46 x 104
2.46 x 10−4 does anyone know which one it is ?
2.46 x 10−6
Complete the table for the graph of the equation x + 2y = -1
x f(x)
-2?
0?
3?
\(x + 2y = -1\\x=-2,0,3\\f(x)=y\\\)
plug in each value of x in the function y:
\(-2+2y=-1\\2y=1\\y=\frac{1}{2}\)
first point is \((-2, \frac{1}{2})\)
so when x = -2, f(x) = 1/2
\(0+2y=-1\\2y=-1\\y=-\frac{1}{2}\)
second point is \((0,-\frac{1}{2})\)
so when x = 0, f(x) = -1/2
\(3+2y=-1\\2y=-4\\y=-2\)
third point is \((3,-2)\)
so when x = 3, f(x) = -2
Can someone help me with this??
Answer:
36
Step-by-step explanation:
10+8+6+6+6
Area of the top rectange is 10 (2x5)
Area of the bottom rectange is 8 (2x4)
Area of the right rectangle is 6 (2x3)
Area of both the triangles are 6 (4x3 divided by 2)
Solve for “x”
4x + 7 = 5
Answer:
x=-1/2 or -0.5
Step-by-step explanation:
You would subtract 7 on both sides and that leaves you with 4x=-2 then you would divided by 4 to get x=-0.5
Answer:
Here, this should work.
The answer is x = 1/2
PLEASE HELP ME
SHOW ALL THE WorK BC I DONT know how to do it.
Will give brainliest
Answer:
answer below
Step-by-step explanation:
∠3 = 76°
∠1 = ∠3 = 76° (vertical angle)
∠2 = 180 - ∠1 = 180° - 76° = 104° (supplementary adjacent angle)
∠4 = ∠2 = 104° (vertical angle)
Set of six numbers has an average of 42. When three of this numbers were removed the remaining three numbers had an average of 72. What was the sum of the removed numbers?
Answer: 36
Step-by-step explanation:
From the question, we are informed that six numbers has an average of 42. This means that the total number will be equal to:
= 42 × 6
= 252
When three of this numbers were removed the remaining three numbers had an average of 72. The total of this will be:
= 72 × 3
= 216
The sum of the removed numbers will be the difference between the two numbers above. This will be:
= 252 - 216
= 36
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Fifteen more than half a number is 0. Find the number.
Students are working on measurement principles. Kali measures a countertop in the classroom that is 5,743 mm long. Lauren finds that the distance on a map between New York City and Washington D.C. is drawn as 364.1 mm. How does the 3 in Kali's number compare to the 3 in Lauren's number
Based on the provided information regarding measurement, the way 3 in Kali's number compares to the 3 in Lauren's number is that Kali's digit is in the ones place and Lauren's digit is in the hundreds place.
Measurement refers to the process of comparing an unknown quantity with a standard of the same quantity. It quantifies the characteristics of an object or event, which we can compare with other things or events. It is the most commonly used term when dealing with the division of a quantity. When considering measurement, the value before decimals reads as ones, tens, hundreds etc. As Kali measures a countertop in the classroom that is 5,743 mm long or 5,743.0 mm the 3 just before the decimal is one place. As Lauren finds that the distance on a map between New York City and Washington D.C. is drawn as 364.1 mm, the 3 is hundreds place. Therefore, Kali's digit is 1/100 of the value.
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classify each of the measurements listed here as one of the following: nominal; binary; ordinal; discrete (count); or continuous.
Measurements can be classified into different types: nominal, binary, ordinal, discrete (count), or continuous. Each type has distinct characteristics and is used in different scenarios depending on the nature of the data being analyzed.
In the field of statistics, measurements can be categorized into different types based on their characteristics. The following classification can be used to categorize measurements: nominal, binary, ordinal, discrete (count), or continuous.
**Nominal**: Nominal measurements are categorical and do not possess any inherent order or numerical value. They are used to classify data into distinct categories. Examples of nominal measurements include gender (male, female), colors (red, blue, green), or types of vehicles (car, motorcycle, truck).
**Binary**: Binary measurements have two distinct categories or outcomes. They are often represented by 0 and 1, true and false, or yes and no. Binary measurements are used in situations where there are only two possible responses. Examples include success/failure, presence/absence, or heads/tails.
**Ordinal**: Ordinal measurements have ordered categories that represent a ranking or hierarchy. While the categories have a relative position, the exact difference between them may not be known or meaningful. Examples of ordinal measurements include rating scales (poor, fair, good, excellent), educational levels (elementary, high school, college), or customer satisfaction levels (low, medium, high).
**Discrete (Count)**: Discrete measurements are whole numbers that represent distinct quantities or counts. They are typically used for variables that cannot take on fractional or continuous values. Examples of discrete measurements include the number of siblings, the number of cars in a parking lot, or the number of items sold.
**Continuous**: Continuous measurements can take on any value within a certain range and can be measured with a high level of precision. They are often represented by real numbers. Continuous measurements are used when there is an infinite number of possible values between any two points. Examples include height, weight, temperature, or time.
In summary, measurements can be classified into different types: nominal, binary, ordinal, discrete (count), or continuous. Each type has distinct characteristics and is used in different scenarios depending on the nature of the data being analyzed.
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