The particular brand of shirt comes in 9 colors, has a male version and a female version, and comes in three sizes for each sex.
The number of different types of this shirt made can be calculated as follows:
Total number of colors available = 9
Total number of versions (male and female) = 2 Total number of sizes available = 3
Thus, the total number of different types of this shirt made would be:
Number of different types = Total number of colors × Total number of versions × Total number of sizes= 9 × 2 × 3= 54
Therefore, the particular brand of shirt comes in 54 different types or variations.
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3. Consider a function f(x) = |x|. A second function g(x) is the result of translating f(x) by 5 units in the negative y-direction (downward), and 3 units in the positive x-direction (to the right). Write the equation of g(x)
The translated function is:
g(x) = |x + 3| - 5
How to get the translated function?The parent function is f(x) = |x|, and we need to translate it.
Remember that:
Horizontal translation:
For a general function f(x), a horizontal translation of N units is written as:
g(x) = f(x + N).
If N is positive, the shift is to the left.If N is negative, the shift is to the right.Vertical translation:
For a general function f(x), a vertical translation of N units is written as:
g(x) = f(x) + N.
If N is positive, the shift is upwards.If N is negative, the shift is downwards.Then a translation of 3 units to the right and 5 units down is written as:
g(x) = f(x + 3) - 5 = |x + 3| - 5
That is the translated function.
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x - 1/3 = 6
Give your answer as an improper fraction.
Answer:
19/3 (6 1/3)
Step-by-step explanation:
The polynomial of degree 5, P(x) ha leading coefficient 1, ha root of multiplicity 2 at x=1 and x=0, and a root of multiplicity 1 at x=−5
Find a poible formula for P(x). P(x)=
The possible formula for P(x) would be \(P(x)=x^5+x^4-5x^3+3x^2\).
What is a polynomial?
A polynomial is a mathematical expression made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables. x² + 4x + 7 is an illustration of a polynomial with a single indeterminate x.
The polynomial of degree 5.
Each root corresponds to a linear factor, so we can write:
\(P(x) = x^2(x-1)^2(x+3)\\\\P(x)=x^2(x^2-2x+1)(x+2)\\\\P(x)=x^5+x^4-5x^3+3x^2\)
Hence, the possible formula for P(x) would be \(P(x)=x^5+x^4-5x^3+3x^2\).
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n how many ways can the letters in the word PAYMENT be arranged using 4 letters? A. 42 B. 1260 C. 840 D. 2520
students are asked to evaluate the food provided in the university cafeteria on 7-point scales with bipolar adjectives such as poor-good and inexpensive-expensive. what type of scales do these measures represent?
The measures represent a 7-point Likert scale.
Interval scales are numerical scales in which the difference between any two adjacent points is the same.
Examples of interval scales include temperature (in Celsius or Fahrenheit), standard IQ scores, and dates.
Ordinal scales are numerical scales in which the difference between any two adjacent points is not necessarily the same.
Examples of ordinal scales include rankings (e.g., 1st, 2nd, 3rd, etc.), letter grades (A, B, C, etc.), and Likert scales (e.g., strongly agree, agree, neutral, disagree, strongly disagree).
Ordinal scales allow for the ranking of items, but the distances between points on the scale are not necessarily equal.
Interval scales, on the other hand, measure the distance between points on the scale and the difference between any two points is the same.
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Anyone one know the answers to this ?? HELP PLS.
ONLY ANSWER IF YOU KNOW, any other answers will be reported !
Each month we have to deposit 1389 of amount and we get interest of 30000
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given 500000 to be in our account in retirement of 30 years.
We need to find how much we have to deposit each month.
We know that in a year there are 12 months.
For 30 years the number of months are 12×30=360
So Now divide 500000 by 360 to find each month deposit
500000/360=1388.8
So each month one has to deposit 1389 into account.
Now if account earns 6% of interest. We need to find how much amount we earned.
6% is converted to decimal by dividing 6 by 100
0.06
Now multiply with 500000
0.06×500000
30000
Hence, each month we have to deposit 1389 of amount and we get interest of 30000.
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solve the equation by completing the square. Show all solutions5k^2 = 60 - 20k
5k² = 60 - 20k
5k² + 20k - 60 = 0
k² + 20/5k - 60/5 = 0 dividing by 5 at both sides
k² + 4k - 12 = 0
If we compute (k+2)², we get:
(k+2)² = k² + 2*k*2 + 2² = k² + 4k + 4
Then,
k² + 4k - 12 + 4 - 4 = 0
(k² + 4k + 4) + (-12 - 4) = 0
(k+2)² - 16 = 0
(k+2)² = 16
k + 2 =√16
This has two solutions
k + 2 = 4 or k + 2 = -4
k = 4 - 2 k = -4 - 2
k = 2 k = -6
In a recent year, 23% of all college tudent were enrolled part-time. If 8. 8 million college tudent were enrolled part-time that year, what wa the total number of college tudent?
Round your anwer to the nearet million
In a recent year, 23 percent of all college students were enrolled part-time. If 8.8 million college students were enrolled part-time that year, the total number of students was 38 million.
What is percentage ?A figure or ratio that is expressed as a fraction of 100 is referred to as a percentage. It is symbolised by the '%' percentage sign. 'pct' or 'pc' are the acronyms used to indicate the percentage. In other words, the percentage is measured as the proportion of one item that is made up of another, and it is expressed as a percentage out of 100.
Here, let the total students be x .
Now by the question,
23% of x = million
x = 8.8(100)/23 million
x ≈ 38 million
Thus, required number of college students are 38 million.
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A circle has a diameter of 12 inches. what is the best approximation of its area? use 3.14 to approximate for π.
The best approximation of the area of the circle is 113.04 square inches.
A circle is a shape with all points equidistant from a central point, known as the center. The distance from the center to any point on the edge of the circle is called the radius.
It can be calculated using the formula π \(r^2\), where r is the radius.
Since the diameter of the circle is 12 inches, the radius would be half of that which is 6 inches.
So, the area would be approximately 3.14 * \(6^2\) = 113.04 square inches.
Therefore, The best approximation of the area of the circle is 113.04 square inches.
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Please help I’ll give brainliest
Answer:
Option D
2*4
Step-by-step explanation:
Please Mark me brainliest
Answer:
2^4
Step-by-step explanation:
The answer is 2^4 because 2^4 means the same things as 2 x 2 x 2 x 2
The answer of 2 x 2 x 2 x 2 equals 16
The answer of 2^4 also equals 16
The reason you shouldn't select 16 in the option choices is because it says write in "index form" at the top.
Hope this helps
2 Write the following mathematical equation in the required format for programming. \[ a x^{2}+b x+c=2 \]
To write the following mathematical equation in the required format for programming\(\[a{x^2}+bx+c=2\]\)
let us begin by reviewing the standard format of the quadratic formula:\(\[ax^{2}+bx+c=0.\]\)
Therefore, to write the given quadratic equation into the required format for programming we should subtract 2 from both sides so that the quadratic equation is in the standard format.\(\[ a x^{2}+b x+c-2=0 \]\)
Therefore, the required format for programming is \(\[ a x^{2}+b x+c-2=0 \].\)
To write the mathematical equation \(\[ a x^{2}+b x+c=2 \]\) in the required format for programming, you would typically use a specific programming language syntax. Here's an example using Python:
```python
a = 1
b = 2
c = -3
x = # provide a value for x
result = a * x**2 + b * x + c - 2
```
In this example, the coefficients `a`, `b`, and `c` are assigned specific values. You would need to assign appropriate values based on your equation. Then, you can provide a value for the variable `x`. Finally, the equation is evaluated and the result is stored in the variable `result`.
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Is a snowflake rotational symmetry or refelctional symmetry or both or neither
Answer:
reflectional
Step-by-step explanation:
What is the equation of a line written in slope-intercept form with a slope of 4 that passes through the point (-3, -3)?
You buy a pair of jeans for $32.00. The sales tax is 6%. How much will you have to pay?
Answer:
$33.92 ($1.92 in tax)
Step-by-step explanation:
% values are 1/100ths. 32.00/100=0.32. 0.32(6) = 1.92.
$32.00
+ $1.92
=$33.92 total.
noah recieves a 5 discount each month on his cell phone bill
Noah will be $40 charged for his cell phone bill each month if he stopped using auto-pay
What is the Noah paid per month after the discount?
Note that the total amount for cellphone bill over 8 months is $280, which means that the amount paid by Noah after having considered the $5 monthly discount, is determined by the total cellphone bills divided by the number of months the payment relates
monthly cellphone bill=total amount/number of months
total amount=$280
number of months=8
monthly cellphone bill=$280/8
monthly cellphone bill=$35
In essence, the monthly phone bill the discount is the monthly cellphone bill with discount plus the discount amount
monthly cellphone bill without autopay(discount)=$35+$5
monthly cellphone bill without autopay(discount)=
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Full question with options:
Noah receives a $5 discount each month on his cell phone bill because he signed up for a auto pay from his bank account. Over the last 8 months ,Noah has paid a total of $280 for his cell phone bill. What would Noah be charged for his cell phone bill each month if he stopped using auto-pay?
a. 30
b. 35
c. 40
d. 34
The question is on the screenshot as always!
Answer:
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what was the total distance traveled by the object during the 10.0-second time interval
Firstly, we need to know the speed of the object in order to calculate the distance it traveled. If we have the speed, we can use the formula distance = speed x time to find the total distance traveled during the 10.0-second time interval.
Secondly, if we don't have the speed, we can use the equation of motion: distance = (initial velocity x time) + (1/2 x acceleration x time squared). This equation takes into account the initial velocity of the object as well as any acceleration that occurred during the time interval.
Lastly, if we have information about the velocity and acceleration of the object, we can use the kinematic equations to find the distance traveled. These equations relate the velocity, acceleration, time, and distance of an object in motion.
In conclusion, to find the total distance traveled by an object during a 10.0-second time interval, we need to know the speed, initial velocity and acceleration of the object. Once we have this information, we can use the formulas and equations mentioned above to calculate the distance traveled.
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Assume that a real estate investor that rents for $2,000 per month. Which payment plan would the nvestor prefer for the current 12-month lease? payment of $2,000 at the first of each month upfront payment of $24,000 payment of $2,000 at the end of each month payment upfront of $12,000 and $12,000 half-way through the lease
To determine which payment plan the real estate investor would prefer, we need to compare the present value of each payment option. Assuming a discount rate of 0%, meaning no time value of money is considered, we can directly compare the payment amounts.
1. Payment of $2,000 at the first of each month: This results in a total payment of $24,000 over the 12-month lease.
2. Upfront payment of $24,000: This option requires paying the full amount at the beginning of the lease.
3. Payment of $2,000 at the end of each month: Similar to option 1, this results in a total payment of $24,000 over the 12-month lease.
4. Upfront payment of $12,000 and $12,000 half-way through the lease: This option requires paying $12,000 at the beginning of the lease and another $12,000 halfway through the lease.
Since all the payment options have a total cost of $24,000, the real estate investor would likely prefer the payment plan that offers more flexibility or matches their cash flow preferences. Options 1 and 3 provide the investor with the option to pay monthly, while options 2 and 4 require a larger upfront payment. The choice would depend on the investor's financial situation and preferences.
PLEASE HELPPP. What is the value of X? type the number TYPE ONLY THE NUMBER
Answer:
Value of X is 11
Step-by-step explanation:
hope it helps
The equation 18+0.25p= c gives the cost c in dollars that a store charges to deliver an appliance that weighs pounds. Use the equation and a table to find the weight of an appliance that costs $58 to deliver.
please hand solve and show steps
(a) Find the dual of the LP .
(b) Find the standard form of the LP and dual.
(c)Optimal solution for the primal problem is: x ∗ 1 = 20, x∗ 2
= 60, s∗ 1 = 0, s∗
objective m constraints n decision variables Consider the following LP. Primal and Dual pair min b₁y₁+ max C₁x₁++GX+ CnXn 8/1X1 +2X2 + + ax ≤ bi ax1 + a2x2 + +anxn bi a/1X1 + a2x2 + +anxn 2
(a) Find the dual of the LP.Primal problem isminimize \($b_1y_1+C_1x_1+...+C_nx_n$\) subject to \($a_{11}x_1+a_{12}x_2+...+a_{1n}x_n \leq\) \(b_1$...$a_{m1}x_1+a_{m2}x_2+...+a_{mn}x_n \leq b_m$ and $x_1, x_2,\)..., x_n\(\geq 0$\)
Let us find the dual of the above primal problem.
Dual problem ismaximize \($b_1y_1+...+b_my_m$\)subject to \($a_{11}y_1+a_{21}y_2+...+a_{m1}y_m \leq\)\(C_1$...$a_{1n}y_1+a_{2n}y_2+...+a_{mn}y_m \leq C_n$\)
and\($y_1, y_2, ..., y_m \geq 0$\)
(b) Find the standard form of the LP and dual.Standard form of the primal problem isminimize \($b_1y_1+C_1x_1+...+C_nx_n$\)subject to \($a_{11}x_1+a_{12}x_2+...+a_{1n}x_n +s_1 = b_1$...$a_{m1}x_1+a_{m2}x_2+...+a_{mn}x_n +s_m = b_m$\) and\($x_1, x_2, ..., x_n, s_1, s_2, ..., s_m \geq 0$\)
Standard form of the dual problem ismaximize \($b_1y_1+...+b_my_m$\)subject to \($a_{11}y_1+a_{21}y_2+...+a_{m1}y_m \leq 0$...$a_{1n}y\)
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What is y=x2+6x+3 in vertex form?
Answer:
y = (x+3)2 - 12.
Step-by-step explanation:
Answer:
y = (x + 3)^2 - 6.
Step-by-step explanation:
y=x^2+6x+3
y = (x + 3)^2 - 9 + 3
y = (x + 3)^2 - 6.
we define a uniform random variable between 5 and 15. what is the value of the probability density function (pdf) at 0?
The value of the probability density function (pdf) at 0 for a uniform random variable between 5 and 15 is 0, because the pdf for a uniform distribution is constant between its minimum and maximum values, and is 0 elsewhere.
To explain further, a uniform distribution is a continuous probability distribution where every value within a certain range has an equal chance of being selected. In this case, the range is between 5 and 15. The pdf for a uniform distribution is constant within the range of the distribution and is 0 outside of it.
Since 0 is not within the range of the uniform distribution, the pdf at 0 is 0. This means that the probability of selecting a value of 0 from this uniform distribution is 0. The area under the pdf curve between 5 and 15 is equal to 1, which means that the probability of selecting a value within this range is 1.
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Ted is a freshman attending a 4-year college. He has been approved for an $8.000 subsidized federal loan at 4.29% for 10 years. How much will the U.S. Department of
Education subsidize in interest costs during his 4.5-year non-payment period?
Answer:
12.17634
Step-by-step explanation:
Answer: $1,544.40
Step-by-step explanation: It just is
I really need help..im confused
Simplify.
6/2+3/2
plzzzz help
Answer:
Ans: 9/2
Step-by-step explanation:
_______________
Solve x + 5 = 7.
OA. x = -2 and x = 12
OB. x = 2 and x = -2
C. x = 2 and x = -12
OD. x = -2 and x = -12
If the heights of 99.7% of American men are between 5'0"
and 7'0", what is your estimate of the standard deviation of
the height of American men? (Assume the heights of
American Men are Normally Distributed).
A.) 1"
B.) 2"
C.) 4"
D.) 6"
E.) 12"
1 standard deviation = 8 inches. the answer is OPTION E
We know that 99.7% of American men have heights between 5'0" and 7'0". Since height is normally distributed, we can use the empirical rule to estimate the standard deviation.
According to the empirical rule, 99.7% of the data falls within 3 standard deviations of the mean. Therefore, we can say that the range of heights from 5'0" to 7'0" is 3 standard deviations.
We can use this information to estimate the standard deviation as follows:
Range of heights = 7'0" - 5'0" = 2 feet
3 standard deviations = 2 feet
1 standard deviation = 2/3 feet
1 foot = 12 inches
Therefore, 1 standard deviation = 2/3 * 12 inches = 8 inches
So, our estimate of the standard deviation of the height of American men is 8 inches. Therefore, the answer is OPTION E in the given options.
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Complete question
If the heights of 99.7% of American men are between 5'0"
and 7'0", what is your estimate of the standard deviation of
the height of American men? (Assume the heights of
American Men are Normally Distributed).
A.) 1"
B.) 2"
C.) 4"
D.) 6"
E.) 8"
Does anyone know how to do this? I keep getting stuck on it. Look at this graph. What is the equation of the line in slope-intercept form?
Answer: 4/1
Step-by-step explanation: You go on the y-axis up to 6 then you count up until you get to 10 then you go over 1 so the equation would be 4/1
The base of a right triangle is 13 less than 2 times the height. The area of the triangle is 12 square cm. What is the height of the triangle in cm? *
Answer:
The height of the triangle is 8 cm
Step-by-step explanation:
First we need to write down the question in a mathematical format and then solve.
let b be the base of the triangle and h be the height of the triangle
"The base of a right triangle is 13 less than 2 times the height" can be written as
b = 2h - 13 -----------------------------------------------------(1)
"The area of the triangle is 12 square cm" can be written as;
area of the triangle = 12 cm²
but area of a triangle = \(\frac{1}{2}\) ×b × h
This implies that
\(\frac{1}{2}\) ×b × h = 12 cm²
bh = 24 cm² --------------------------------------------------(2)
substitute equation (1) in equation (2)
(2h - 13)h = 24
2h² - 13h = 24
2h² - 13h - 24 = 0 ----------------------------------------------(3)
The above is now a quadratic equation, so we will solve by completing the square method.
Find two numbers such that its product will give -48 and its sum will give -13
The two numbers are -16 and 3
Replace -13h by (-16h + 3h) in equation (3)
2h² - 13h - 24 = 0
2h² - 16h + 3h - 24 = 0
2h(h - 8) + 3(h-8) = 0
(h-8)(2h+3) = 0
either h-8 = 0
h = 8
OR
2h + 3 = 0
2h = -3
h =-3/8
There is no such thing as negative length, therefore h= 8 is the answer
The height of the triangle is 8 cm