Answer:
If you have decided to create a pizza special deal of 2 small pizzas (8 inches in diameter) for the price of a large pizza (12 inches in diameter) for $14.25, then the large pizza would be a better deal for your customers.
The area of a small pizza is πr^2 = π(4)^2 = 16π square inches. The area of two small pizzas is 2(16π) = 32π square inches.
The area of a large pizza is πr^2 = π(6)^2 = 36π square inches.
Therefore, the area of a large pizza is greater than the area of two small pizzas. So, your customers would get more pizza if they ordered a large pizza instead of two small pizzas.
John plans to practice piano at least 2 1/2 hours this weekend. If he practices 1 1/6 hours on Saturday and 1 1/4 hours on Sunday will he meet his goal?
The revenue of surgical gloves sold is P^(10) per item sold. Write a function R(x) as the revenue for every item x sold
The given information states that the revenue of surgical gloves sold is P^(10) per item sold. To find the revenue for every item x sold, we can write a function R(x) using the given information.
The function can be written as follows: R(x) = P^(10) * x
Where, P^(10) is the revenue per item sold and x is the number of items sold.
To find the revenue for every item sold, we need to write a function R(x) using the given information.
The revenue of surgical gloves sold is P^(10) per item sold.
Hence, we can write the function as: R(x) = P^(10) * x Where, P^(10) is the revenue per item sold and x is the number of items sold.
For example, if P^(10) = $5
and x = 20,
then the revenue generated from the sale of 20 surgical gloves would be: R(x) = P^(10) * x
R(20) = $5^(10) * 20
Therefore, the revenue generated from the sale of 20 surgical gloves would be approximately $9.77 * 10^9.
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write the largest open interval on which f is the antiderivative for f.
The largest open interval on which f is the antiderivative for f is called the indefinite integral of f, and it is denoted by ∫f(x)dx. This interval can be determined by finding all the antiderivatives of f and then taking the union of their domains. Note that the antiderivative of f is not unique, as it can differ by a constant, so the indefinite integral of f is only determined up to an arbitrary constant.
To find the largest open interval on which a function f is the antiderivative for f', we'll first need to know the function f' (the derivative of f). However, you didn't provide the function f' in your question.
To give you a general idea of how to approach this problem, follow these steps:
1. Given the function f'(x), find the critical points by setting f'(x) equal to 0 and solving for x.
2. Determine the intervals based on the critical points.
3. Check the behavior of f'(x) in each interval to see where it's continuous and increasing.
4. The largest open interval on which f is the antiderivative for f' will be the interval in which f'(x) is continuous and increasing.
If you provide the function f'(x), I can help you find the largest open interval for the antiderivative.
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how many ice cream combinations are there
Answer:
there are total 18 combination are there
Step-by-step explanation:
Therefore, a cone with a choice of a flavor and a topping equals 9, and a cup with a choice of an ice cream flavor and a choice of a topping = 9. Since 9 + 9 = 18, there are a total of 18 combinations that you could have.
Mary will spin the spinner below 150 times.02.83746unAbout how many times should Mary expect the spinner to land on a number greater than 5?A.75B.56C. 38D. 94
we have that
the total numbers in the spinner are 8 numbers
numbers greater than 5 -----> 6,7 and 8------> 3 numbers
the probability is
3/8
Multiply by 150 times
150(3/8)=56.25
therefore
the answer is the option B
Select the correct answer.
In the diagram, and are vertical lines, while is a horizontal line segment. If CR : RB = 2 : 3, what are the coordinates of point Q?
A.
(-2, -4)
B.
(-1, -5)
C.
(-3, -3)
D.
(0, -6)
Answer:
c
Step-by-step explanation:
two essential features of all statistically designed experiments are
A comparison of multiple treatments and the use of the double-blind method are two fundamental components of all statistically designed experiments. (6) Compare various treatments; assign patients to treatments at random.
What is double-blind method?
A kind of clinical experiment in which neither the participants nor the researcher is aware of the treatment or intervention that each participant is receiving until the trial is complete.
This reduces the likelihood of skewed study outcomes.
What is a sample of a double-blind study?
Imagine, for instance, that researchers are looking into the effects of a novel medication.
The participants in a double-blind study would not be aware of who was receiving the real medication and who was receiving a placebo, and neither would the researchers who interact with them.
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The complete question is -
Two essential features of all statistically designed experiments are (2 Points) O use enough subjects; always have a control groups O always have a placebo group; use the double - blind method O use a block design; use chance to assign subjects to treatments O compare several treatments; use the double - blind method O compare several treatments; use chance to assign subjects to treatments.
Describe the shape of the distribution.
A. It is symmetric.
B. It is uniform.
C. It is bimodal.
D. It is skewed.
if the mean of a population is 250 and its standard deviation is 20, approximately what proportion of observations is in the interval between each pair of values?
If the mean of a population is 250 and the standard deviation is 20, we can say that approximately 68% of observations fall between 230 and 270, 95% of observations fall between 210 and 290, and 99.7% of observations fall between 190 and 310.
It's important to note that these percentages are approximate and based on the assumption that the population follows a normal distribution.
The normal distribution is a continuous probability distribution that is symmetric about the mean. The standard deviation (σ) is a measure of the spread of the data. Approximately 68% of the observations fall within one standard deviation of the mean, 95% of observations fall within two standard deviations of the mean, and 99.7% of observations fall within three standard deviations of the mean.
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Solve the given initial-value problem. 2y'' + 3y' − 2y = 10x2 − 8x − 13, y(0) = 0, y'(0) = 0
The general solution to the differential equation is y(x) = (5/2)x^3 - (4/3)x^2 + (1/2)x + C1e^(-x) + C2e^(-2x).
To solve this initial value problem, we need to find the general solution to the differential equation and then use the initial conditions to find the particular solution.
The characteristic equation is r^2 + 3r - 2 = 0, which has two distinct real roots of r1 = -2 and r2 = -1.
The general solution to the differential equation is y(x) = (5/2)x^3 - (4/3)x^2 + (1/2)x + C1e^(-x) + C2e^(-2x)
Now we can use the initial conditions y(0) = 0 and y'(0) = 0 to find the values of C1 and C2.
y(0) = 0 = (5/2) * 0^3 - (4/3) * 0^2 + (1/2) * 0 + C1e^(0) + C2e^(0)
y'(0) = 0 = 5x^2 - (8/3)x + (1/2) + C1e^(-x) - C2e^(-2x)
Solving these equations, we find that C1 = 0 and C2 = 0, so the particular solution to the initial value problem is y(x) = (5/2)x^3 - (4/3)x^2 + (1/2)x.
This method is the standard way to solve Initial value problems for linear homogeneous differential equations with constant coefficients. It relies on finding the characteristic equation, and the general solution of the differential equation. Then we use the initial conditions to find the particular solution.
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Lola pulls two marbles from a bag containing four red marbles, four blue marbles, and 12 yellow marbles without replacing them.What is the probability that she pulled out a red marble first and a yellow marble second
The probability that Lola pulled a red marble first and a yellow marble second is 0.134 or approximately 13.4%.
To calculate the probability that Lola pulls a red marble first and a yellow marble second, we can use the formula:
P(Red, Yellow) = P(Red) x P(Yellow|Red)
where P(Red) is the probability of pulling a red marble first, and P(Yellow|Red) is the conditional probability of pulling a yellow marble second given that a red marble was pulled first.
First, we can calculate P(Red):
P(Red) = number of red marbles / total number of marbles
P(Red) = 4 / (4 + 4 + 12)
P(Red) = 4 / 20
P(Red) = 0.2
So the probability of pulling a red marble first is 0.2.
Next, we can calculate P(Yellow|Red):
P(Yellow|Red) = number of yellow marbles remaining / total number of remaining marbles
P(Yellow|Red) = 12 / (4 + 3 + 11)
P(Yellow|Red) = 12 / 18
P(Yellow|Red) = 0.67
So the probability of pulling a yellow marble second given that a red marble was pulled first is 0.67
Now we can use the formula:
P(Red, Yellow) = P(Red) x P(Yellow|Red)
P(Red, Yellow) = 0.2 x 0.67
P(Red, Yellow) = 0.134
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201
6 Richard writes a number pattern that starts at 1 and follows
the rule "Add 1, then multiply by 3." Heather writes a number
pattern that starts at 1 and follows the rule "Add 3, then multiply
by 2." Write the first five ordered pairs with the x-coordinate
representing the numbers in Richard's pattern and the y-coordinate
representing the corresponding numbers in Heather's pattern.
does anyone know?? please help
Check the picture below.
Kate wants to install an in ground pool in five years. she estimates the cost will be $50,000. how
much should she deposit monthly into an account that pays 1.6% interest compounded
monthly in order to have enough money to pay for the pool in 5 years? round your answer to
the nearest dollar.
Answer:
Step-by-step explanation:
Kate should deposit $46,158.28 monthly into an account
In this question, we have been given the amount A = $50,000,
interest rate R = 1.6%
period t = 5 years
We need to find the principal amount (P)
First, convert R as a percent to decimal
r = 1.6/100
r = 0.016
Using the formula of compound interest for P,
P = A / (1 + r/n)nt
P = 50,000.00 / (1 + 0.016/12)(12)(5)
P = $46,158.28
Therefore, Kate should deposit $46,158.28
Is the number 6+1 rational or irrational?
Answer:
Rational
Step-by-step explanation:
An irrational number is any number that cannot be turned into a fraction. 7 can be turned into a fraction.
Solve dy/dx = xy, y(0) = 2. Find the interval, on which the solution is defined.
Answer:
The interval on which the solution is defined depends on the domain of the exponential function. Since e^((1/2)x^2 + ln(2)) is defined for all real numbers, the solution is defined on the interval (-∞, +∞), meaning the solution is valid for all x values.
Step-by-step explanation:
o solve the differential equation dy/dx = xy with the initial condition y(0) = 2, we can separate the variables and integrate both sides.
Starting with the given differential equation:
dy/dx = xy
We can rearrange the equation to isolate the variables:
dy/y = x dx
Now, let's integrate both sides with respect to their respective variables:
∫(dy/y) = ∫x dx
Integrating the left side gives us:
ln|y| = (1/2)x^2 + C1
Where C1 is the constant of integration.
Now, we can exponentiate both sides to eliminate the natural logarithm:
|y| = e^((1/2)x^2 + C1)
Since y can take positive or negative values, we can remove the absolute value sign:
y = ± e^((1/2)x^2 + C1)
Next, we consider the initial condition y(0) = 2. Substituting x = 0 and y = 2 into the solution equation, we get:
2 = ± e^(C1)
Here, we see that e^(C1) is positive since it represents the exponential of a real number. So, the ± sign can be removed, and we have:
2 = e^(C1)
Taking the natural logarithm of both sides:
ln(2) = C1
Now, we can rewrite the general solution with the determined constant:
y = ± e^((1/2)x^2 + ln(2))
Write an ordered pair that is a solution of each system of inequalities.
x + y > 2 , 3x + 2y ≤ 6
The ordered pair (1, 2) is a solution to the system of inequalities
x + y > 2 and
3x + 2y ≤ 6.
To find an ordered pair that is a solution to the system of inequalities:
Start with the first inequality:
x + y > 2.
Choose a value for x and y that satisfies this inequality. For example, let's choose
x = 1 and
y = 2.
Substituting these values into the inequality:
1 + 2 > 2, which is true.
Now, let's move to the second inequality:
3x + 2y ≤ 6.
Substitute the same values, x = 1 and
y = 2, into this inequality:
3(1) + 2(2) ≤ 6.
Simplifying, we have:
3 + 4 ≤ 6, which is true.
Therefore, the ordered pair (1, 2) is a solution to the given system of inequalities.
Hence the ordered pair (1, 2) is a solution to the system of inequalities
x + y > 2 and 3x + 2y ≤ 6.
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The value of y varies directly with the value of x. When y = 18, x = 3.
What is the value of x when y = 54?
Responses
3
6
9
39
Answer:
nononononStep-by-step explanation:
noinonon
What are the 3 linear functions?.
Answer:
point-slope form, standard form, and slope-intercept form
Step-by-step explanation:
The three main types of linear functions are: point-slope form, standard form, and slope-intercept form.
Here is an image with each form
Write each decimal number in scientific notation. Write each decimal number in scientific notation. Write each decimal number in scientific notation. 5. 0.0000037 m 6. 7,692,000 km
2
(The length of an infrared lightwave.) (The area of Australia.) Use dimensional analysis to answer the following. 5. Given that 1 U.S. dollar =1.660 Australian dollars, 1 Australian dollar = 1.119 Canadian dollars, and 1 Canadian dollar =71.108 Japanese yen. How many Japanese yen are in 1 U.S. dollar?
There are approximately 127.37 Japanese yen in 1 U.S. dollar.
5. Scientific notation of 0.0000037 m is 3.7 × 10^-6 m.
6. Scientific notation of 7,692,000 km is 7.692 × 10^6 km.
Scientific notation is a method used to express very large or very small numbers in a compact form.
A number is expressed in scientific notation as a product of a number between 1 and 10 and a power of 10.
6. Given:
1 U.S. dollar = 1.660
Australian dollars, 1 Australian dollar = 1.119 Canadian dollars, and 1 Canadian dollar = 71.108 Japanese yen.
To calculate the number of Japanese yen in 1 U.S. dollar, we can use the conversion factor as follows:
1 U.S. dollar = 1.660 Australian dollars × 1.119 Canadian dollars × 71.108 Japanese yen= 127.37 Japanese yen (rounded off to two decimal places).
Therefore, there are approximately 127.37 Japanese yen in 1 U.S. dollar.
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hellp plsssss
I would love it if you did!
Answer:
1050
Step-by-step explanation:
bylon 3 x 68 =204
wool (3x3) x 94 =846
204 + 846 = 1050
he spent 1050 $ on materials
Answer:
$846
Step-by-step explanation:
I think it is sry if u got it wrong
What is the product? [3 2 0 6 4 6 1 0 2] x [2 0 1]
\( \: \: \: \: \: \)
\(64449866502 \\ \\ in \: \: alternate \: \: form \: \\ \\ 6.4449866502 \times 1 {0}^{10} \)
Step-by-step explanation:
\((320646102) \times (201)\)
multiply the numbers\( = 64449866502 \\ \\ in \: \: alternate \: \: form \: \: \\ \\ 6.4449866502 \times 1 {0}^{10} \)
hope it helps\( \: \: \: \: \: \: \)
The product of the matrices is given below.
\(\left[\begin{array}{ccc}6\\18\\4\end{array}\right]\)
What is the matrix?A matrix is a specific arrangement of items, particularly numbers. A matrix is a row-and-column mathematical structure. The element in a matrix, such as M, refers to the i-th row and j-th column element.
here, we have,
The matrices are given below.
\(\left[\begin{array}{ccc}3&2&0\\6&4&6\\1&0&2\end{array}\right]\) and \(\left[\begin{array}{ccc}2\\0\\1\end{array}\right]\)
now, we get,
The product of the matrices will be
\(\left[\begin{array}{ccc}3&2&0\\6&4&6\\1&0&2\end{array}\right]\) × \(\left[\begin{array}{ccc}2\\0\\1\end{array}\right]\)
Thus, the product of the matrices is given below.
\(\left[\begin{array}{ccc}3&2&0\\6&4&6\\1&0&2\end{array}\right]\) × \(\left[\begin{array}{ccc}2\\0\\1\end{array}\right]\) = \(\left[\begin{array}{ccc}6\\18\\4\end{array}\right]\)
Hence, The product of the matrices is given below.
\(\left[\begin{array}{ccc}6\\18\\4\end{array}\right]\)
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For what amount of exit proceeds would these two structures yield the same amount of carried interest?
.20 (Z-250) = .30 (Z-200)
Solve for Z.
Answer:
Step-by-step explanation:"To solve this equation, you can start by distributing the 0.20 and 0.30 terms. Then, you can simplify the equation by combining like terms. After that, you can isolate the variable Z on one side of the equation by adding or subtracting terms from both sides. Finally, you can solve for Z. The solution is Z = 1000. Does that help?"
It rained 60% of the 30 days in April last year. How many days
did it rain in April?
o 16
0 18
o 21
o 24
Answer:
18
Step-by-step explanation:
60% of 30 is 18
if f(1) = 12, f ' is continuous, and 6 f '(x) dx 1 = 16, what is the value of f(6)
To find the value of f(6), we can use the information given about the function f(x) and its derivative f'(x).The value of f(6) is 44/3.
Given that f'(x) is continuous, we can apply the Fundamental Theorem of Calculus. According to the theorem:
∫[a to b] f '(x) dx = f(b) - f(a)
In this case, we are given that:
∫[1 to 6] 6 f '(x) dx = 16
We can simplify the integral:
6 ∫[1 to 6] f '(x) dx = 16
Since f'(x) is the derivative of f(x), the integral of 6 f '(x) dx is equal to 6 f(x). Therefore, we have:
6 f(6) - 6 f(1) = 16
Substituting the given value f(1) = 12:
6 f(6) - 6(12) = 16
6 f(6) - 72 = 16
Next, we isolate the term with f(6):
6 f(6) = 16 + 72
6 f(6) = 88
Finally, we solve for f(6) by dividing both sides by 6:
f(6) = 88 / 6
f(6) = 44/3
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At a basketball game, a tam made 59 successful shots. They were
a combination of 1- and 2-point shots. The team scored 101 points
in all Write and solve a system of equations to find the number of
each type of shot
Answer:
1X + 2Y = 59
Step-by-step explanation:
Saying that X is free throws (1 points) and Y is layups (2 point shots), we can use the inequality of 1X + 2Y = 59 to find the answer. I hope this helped.
Can you mark me brainliest please if my answer is correct
g every time the syste, transitions it is equally likely to choose any of the three modes. what is the expected time taken for the system to fail
The expected time taken for the system to fail is dependent on the specific details of the system in question.
However, if we assume that the three modes have equal probabilities of occurring and that the failure occurs when the system reaches a specific mode, we can use the concept of Markov chains to find the expected time until failure.
In this case, the expected time until failure would be the reciprocal of the probability of the system transitioning to the failure mode.
Therefore, if each mode has an equal probability of 1/3, the expected time until failure would be 3 units of time.
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Rewrite sin (10x) cos (7x) as a sum or difference
The solution of the sin (10x) cos (7x) is 1/2 sin(17x ) + sin(3x).
What are the trigonometric identities?We can calculate with the help of one of the trigonometric identities;
sin(A)cos(B) = 1/2 sin(A+B) + sin(A - B)
WE have given
sin (10x) cos (7x)
Here, A = 10x
B= 7x
So, sin(A)cos(B) = 1/2 sin(A+B) + sin(A - B)
sin(10x) cos(7x) = 1/2 sin(10x + 7x ) + Sin (10x - 7x)
sin(10x) cos(7x) = 1/2 sin(17x ) + sin(3x)
sin(10x) cos(7x) = 1/2 sin(17x ) + sin(3x)
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what is the arithmetic mean of all of the positive two-digit integers with the property that the integer is equal to the sum of its first digit plus its second digit plus the product of its two digits?
The arithmetic mean is 59.
What is arithmetic mean?
It is the sum of collection of numbers divided by the count of the numbers.
Conider AB is the nuber satisfying the condition. Hence,
\(10A+B=A+B+A\times B\\9A=A\times B\\\)
Since AB is a two digit number hence, \(A\neq 0\\\). Hence, divide both sides by \(A\).
\(9=B\)
Hence, B is 9 and A can take any value from 1 to 9.
Hence, numbers are 19, 29, 39, 49, 59, 69, 79, 89,99.
Now, calculate arithmetic mean as follows:
\(AM=\frac{Sum \ of \ numbes}{Count \ of \ numbers}\\=\frac{19+29+39+49+59+69+79+89+99}{9}\\=59\)
Hence, arithmetic mean of numbers is 59.
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Kilometers Walked for Charity12336799131145S140023388915222223SS716455991735Key 123 means 12.3a. Describe how to find the range of the data set.b. Find the range
Given data:
The list of the observations.
The range tell us the lower limit to upper liit of the observation which is the minimum to maximum value of the data.
Here the minimum value is 12.336799
and maximum value is 17.35
Thus, the rangle is 12.336799 to 17.35.