Answers
Related Questions
Explain why the scale from ABC to DEF could be 1:3
Answers
Answer:
Don't really know
Step-by-step explanation:
------------------------------
What the meaning of "f is order-preserving if x < y implies f(x) < f(y)"?
Answers
An order-preserving function is a function that preserves the order of its inputs. In other words, if x is less than y, then f(x) will be less than f(y).
The statement "f is order-preserving if x < y implies f(x) < f(y)" means that if x is less than y, then f(x) must be less than f(y). This is a necessary condition for a function to be order-preserving. However, it is not a sufficient condition. For example, the function f(x) = x^2 is not order-preserving, because 2 < 3, but f(2) = 4 > f(3) = 9.
In summary, order-preserving functions are useful in situations where we need to preserve the order of a set of data.
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Draw an array to find 21÷3
Answers
Answer:
21÷3 =9
3×9=21
Therefore the answer is 9 .
Step-by-step explanation:
Hope it works out!Mrs. Gonzalez bought a puzzle for $10.95, a board game for $15.95, and a table lamp for $17.10. After tax, the total amount due was $46.86. What is the sales tax rate written as a percent? Round to the nearest tenth if necessary.
Answers
Answer:
6.5%
Step-by-step explanation:
15.95+10.95+17.10 = 44
46.86-44 = 2.86
2.86/44 = 0.065
0.065 = 6.5%
If f(x) = 5x+4, which of the following is the inverse of f(x)?
O A. f-1(x) = x-5
4
O B. f-¹(x) = X54
x-4
O C. f¹(x) = 5x-4
OD. f(x)=4-5x
Answers
Answer:
\(f^{-1}(x)=\frac{x-4}{5}\)
Step-by-step explanation:
1. replace f(x) with x, and x with y: x=5y+4
2. solve for y: x=5y+4
⇒ x-4=5y
⇒ (x-4)/5=y
3. replace y with f⁻¹(x)
Write the set of real numbers in interval notation. {x | x ≤ 9}
Answers
The set οf the interval notation is (-\(\infty\) , 9].
What is real numbers?
Real numbers can have a value of either positive or negative and include the number zero. They are known as real numbers because they don't exist in an imaginary world, which is a different kind of number system. Imaginary numbers are used to describe intangible concepts like the square root of -1.
This interval is represented by the notation,.
=> { \({x\vert x\le9}\) }
This is the interval from -infinity to 9. So -\(\infty\) on the number line, with 9 being the furthest to the right. On the left, there is no border.
The left side of the sentence has a curved parenthesis, and the right side has a square bracket. There is no misspelling. The reader is informed in square brackets to "include the endpoint 9 as part of the solution set". The parenthesis indicates to the reader to "not include the endpoint -infinity as part of the solution set".
Hence the set of the interval notation is (-\(\infty\) , 9].
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3. Show that 5424 9813 2720 0085 is an invalid MASTERCARD credit card number.
Answers
Answer:
Step-by-step explanation:
To check whether the given credit card number is valid or not, we need to apply the Luhn algorithm or the mod-10 algorithm. The Luhn algorithm works by adding up all the digits in the credit card number and checking if the sum is divisible by 10 or not. If it is, then the credit card number is considered valid, otherwise, it is invalid.
Let's apply the Luhn algorithm to the given credit card number:
Step 1: Starting from the rightmost digit, double every second digit
| 5 | 4 | 2 | 4 | 9 | 8 | 1 | 3 | 2 | 7 | 2 | 0 | 0 | 0 | 8 | 5 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| | 8 | | 8 | | 16| | 6 | | 14| | 0 | | 0 | | 10|
Step 2: If the doubled value is greater than 9, add the digits of the result
| 5 | 4 | 2 | 4 | 9 | 8 | 1 | 3 | 2 | 7 | 2 | 0 | 0 | 0 | 8 | 5 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| | 8 | | 8 | | 7 | | 6 | | 5 | | 0 | | 0 | | 1 |
Step 3: Add up all the digits in the credit card number, including the check digit
5 + 4 + 2 + 4 + 9 + 8 + 1 + 3 + 2 + 7 + 2 + 0 + 0 + 0 + 8 + 5 + 1 = 61
Step 4: If the sum is divisible by 10, then the credit card number is valid, otherwise, it is invalid.
61 is not divisible by 10, therefore the given credit card number is invalid.
Hence, it can be concluded that 5424 9813 2720 0085 is an invalid MASTERCARD credit card number.
Is this right or wrong?
Answers
Answer: I am confused on what you are asking
Write the equation of the line in slope-intercept form. *
Answers
Answer:
y = 2/3x+2
Step-by-step explanation:
Find missing length and leave the a ser in radica form
Answers
Answer:
The image is given below as
From the image above,
We have the given values as
\(\begin{gathered} \theta=60^0 \\ hypotenus=2 \\ opposite=a \\ adjacent=b \end{gathered}\)Step 1:
To figure out the value of a, we will use the trigonometric ratio below
\(\begin{gathered} \sin\theta=\frac{opposite}{hypotenu} \\ \sin60=\frac{a}{2} \\ cross\text{ multiply} \\ a=2\sin60 \\ a=2\times\frac{\sqrt{3}}{2} \\ a=\sqrt{3} \end{gathered}\)Hence,
The value of a is
\(\Rightarrow a=\sqrt{3}\)Step 2:
To calculate the value of b, we will us ethe trigonometric ratio below
\(\begin{gathered} \cos\theta=\frac{adjacent}{hypotenu} \\ \cos60^0=\frac{b}{2} \\ cross\text{ multiply, } \\ b=2\cos60 \\ b=2\times\frac{1}{2} \\ b=1 \end{gathered}\)Hence,
The value of b is
\(\Rightarrow b=1\)
Question 10
A car park has 880 parking spaces.
Some of the spaces are reserved.
The ratio of reserved spaces: not reserved spaces = 1:10.
Work out the number of spaces that are not reserved.
Answers
Step-by-step explanation:
work he in a department store
center =
3. A diameter of a circle has endpoints P(-7,-4) and Q (3,2).
a. Find the center of the circle (hint use midpoint formula)
b. Find the radius. If your answer is not and integer, express in radical form. (hint use
distance formula)
c. Write an equation for the circle.
17
radius=
equation of the circle:
work:
< 2/3
I
>
Answers
a. The center of the circle is (-2, -1).
b. The radius of the circle is √136.
c. The equation of the circle is (x + 2)^2 + (y + 1)^2 = 136.
a. To find the center of the circle, we can use the midpoint formula, which states that the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) is given by:
Midpoint = ((x1 + x2)/2, (y1 + y2)/2)
In this case, the endpoints of the diameter are P(-7, -4) and Q(3, 2).Applying the midpoint formula:
Midpoint = ((-7 + 3)/2, (-4 + 2)/2)
= (-4/2, -2/2)
= (-2, -1)
Therefore, the center of the circle is at the coordinates (-2, -1).
b. To find the radius of the circle, we can use the distance formula, which calculates the distance between two points (x1, y1) and (x2, y2). The radius of the circle is half the length of the diameter, which is the distance between points P and Q.
Distance = √\([(x2 - x1)^2 + (y2 - y1)^2]\)
Using the distance formula:
Distance = √[(3 - (-7))^2 + (2 - (-4))^2]
= √\([(3 + 7)^2 + (2 + 4)^2]\)
= √\([10^2 + 6^2\)]
= √[100 + 36]
= √136
Therefore, the radius of the circle is √136.
c. The equation for a circle with center (h, k) and radius r is given by:
\((x - h)^2 + (y - k)^2 = r^2\)
In this case, the center of the circle is (-2, -1), and the radius is √136. Substituting these values into the equation:
\((x - (-2))^2 + (y - (-1))^2\) = (√\(136)^2\)
\((x + 2)^2 + (y + 1)^2 = 136\)
Therefore, the equation of the circle is (x + 2)^2 + (y + 1)^2 = 136.
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27% of all college students major in STEM (Science, Technology, Engineering, and Math). If 35 college students are randomly selected, find the probability that
a. Exactly 9 of them major in STEM.
b. At most 11 of them major in STEM.
c. At least 11 of them major in STEM
Answers
The probability of getting exactly 9 of them major in STEM is 0.139 or 13.9%.
The probability of getting at most 11 of them major in STEM is approximately 0.898 or 89.8%.
The probability of getting at least 11 of them major in STEM is approximately 0.318 or 31.8%.
a. Exactly 9 of them major in STEM.
In this case, the probability of success (a student majoring in STEM) is 0.27, and the number of trials is 35. The probability of exactly 9 students majoring in STEM is then given by the formula:
P(X = 9) = (35 choose 9) x (0.27)⁹ x (0.73)²⁶
where (35 choose 9) is the number of ways to choose 9 students out of 35, and (0.27)⁹ x (0.73)²⁶ is the probability of 9 successes and 26 failures. Evaluating this expression gives a probability of approximately 0.139 or 13.9%.
b. At most 11 of them major in STEM.
To calculate the probability that at most 11 students out of 35 major in STEM, we can use the cumulative binomial probability distribution. This distribution calculates the probability of at most X successes, where X is any number from 0 to the total number of trials.
The probability of at most 11 students majoring in STEM can be calculated as follows:
P(X <= 11) = P(X = 0) + P(X = 1) + ... + P(X = 11) = 0.898 or 89.8%.
c. At least 11 of them major in STEM.
The probability of less than 11 students majoring in STEM can be calculated using the cumulative binomial probability distribution, as in part (b). Specifically:
P(X < 11) = P(X = 0) + P(X = 1) + ... + P(X = 10)
Subtracting this probability from 1 gives the probability of at least 11 students majoring in STEM:
P(X >= 11) = 1 - P(X < 11) = 31.8%
Again, we can use the binomial distribution formula from part (a), or a binomial probability calculator or statistical software package to calculate this probability.
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Andres Michael bought a new boat. He took out a loan for $24,440 at 3.75% interest for 4 years. He made a $4,410 partial payment at 4 months and another partial payment of $2,590 at 8 months. How much is due at maturity?
Answers
The amount due at maturity on Andres Michael's loan of interest rate of 3.75% is $20,431.75
What is effective monthly loan interest rate?
The loan effective monthly interest rate can be determined as the annual interest rate of 3.75% divided by 12 since there are 12 months in a year
effective monthly interest rate=3.75%/12
effective monthly interest rate=0.003125
loan balance after 4 months=$24,440*(1+0.003125)^4- $4,410
loan balance after 4 months=$20,336.94
loan balance after 12 months=$20,336.94*(1+0.003125)^8-$2,590
loan balance after 12 months=$18,260.96
balance at the 4 year(after another 36 months)=$18,260.96*(1+0.003125)^36
balance at the 4 year(after another 36 months)=$20,431.75
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Find the measure of the complement of a 66° angle.
The measure of the complement of a 66° angle is.
(Simplify your answer. Type an integer or a decimal.)
Please help. Btw it’s only one number
Answers
Complementary angles add up to 90°, write an equation using this knowledge and the information provided in the question:
66°+x° = 90°
Subtract 66° from both sides:
x° = 24°
The price of a phone is decreased by 19% and now is $319.14. Find the original price
Answers
The cost of a phone has lowered by 19% to $319.14 from its original $394 pricing.
what is percentage ?In arithmetic, a percentile is a number or statistic that is given as a fraction of 100. Occasionally, the acronyms "pct.," "pct," nor "pc" are also used. But it is broadly classified into the following by the cent sign, "%." The % amount has no characteristics. Percentages are essentially integers when the denominator is 100. Use the percent sign (%) to indicate that a number is a percentage by placing it close to it. For instance, you score a 75% if you properly answer 75 so out 25 pages on a test (75/100). Divide the money by the whole and multiply the results by 100 you compute percentages. The formula for calculating the percentage is (value/total) x 100%.
given
Put this together using the conditions given: 319.14 / (1- 19%)
Determine the total or difference: 319.14 / 0.81
Diminish the fraction: 394
Response: 394
The cost of a phone has lowered by 19% to $319.14 from its original $394 pricing.
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A rectangular sheet of metal measures 8 inches by 12 inches. The metal is worth $4.00 per square inch. How much is the sheet of metal worth?
Answers
The Rectangular sheet of metal is worth \($384.00\).
The rectangular sheet of metal is worth, we need to calculate its area and multiply it by the value per square inch.
The area of a rectangle is given by the formula:
Area = Length x Width
The length is 12 inches and the width is 8 inches.
The area of the rectangular sheet of metal is:
Area = 12 inches x 8 inches = 96 square inches
The value of the metal is \($4.00\) per square inch.
The total value of the rectangular sheet of metal, we can multiply the area by the value per square inch:
Total Value = Area x Value per square inch
Total Value = 96 square inches x \($4.00\) per square inch
Total Value = \($384.00\)
The sheet of metal is worth \($384.00\).
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Simplify: - 3(6 - 2) + | - 4 | ÷ 2 The solution
Answers
Answer: -10
Step-by-step explanation:
:)
Given the functions below, find (g h) (1)
g(x)=x² + 4 + 2x
h(x)==3x
+ 2
Answers
Your instructions got messed up, but I'll try my best to figure out what you said.
Lets set the equations to equal each other
x² + 4 + 2x = 3x+2
x² - x + 2 = 0
x² - x + (-0.5)² = 2
(x-0.5)² = 2
x-0.5 = √2
x=0.5 \(+\\-\)1.414
x= 1.914
or/and
x= -0.914
Find the height of the trapezoid.
7 m
Area = 51 m2
10 m
Answers
h = 2 A/a+b = 2 51/10+7 = 6
Please show your work as well too!
Answers
Answer:dddddd
ddddddddStep-by-step explanation:
ASAP I WILL GIVE BRAINLIEST TO RIGHT ANSWER
How many unit cubes are in the bottom layer of the prism?
A.3
B.8
C.11
D.24
Answers
Answer:
24
Step-by-step explanation:
Answer:
it should be 5 and it's not among the options
A computer consultant charges her client for her services
based on an equation relating the total bill to the
number of hours worked (h). The best interpretation for
the expression 85h + 75 is
Answers
The best interpretation for the expression 85h + 75 is;
The charge for each hour worked is $85
The initial charge before commencement of work per hour is $75
How to Interpret Linear Equations?The general formula of the equation of a line in slope intercept form is;
y = mx + c
where;
m is slope
c is y-intercept
Now, the slope may also be called the rate of change of the output with the input while the y-intercept represents the initial value or the value of the output when the input is zero.
Now, we are given the equation for total bill as;
T = 85h + 75
where h is number of hours worked
Thus;
The charge for each hour worked is $85
The initial charge will be $75 before commencement of work per hour.
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The values in the table represent an exponential function. What is the
common ratio of the associated geometric sequence?
х
у
1
9
2
36
3
144
4
576
5
2304
O A. 4
B. 27
C. 45
O
D. 9
Answers
Answer:
It is 4.
Step-by-step explanation:
9(4)=36
36(4)=144
144(4)=576
576(4)=2304
Hope this helps:)
Diego can purchase
glass jars locally for
$4.50 each or order
them online for $4.05
each. What percentage
will he save ordering
them online?
Answers
Answer:
10%
Step-by-step explanation:
4.5-4.05=.45
.45/4.5=.1
0.1= 10%
A table is being sold for 67% off the regular price the sale price is $536 what is the regular price
Answers
Answer:
Step-by-step explanation:
Use a simple Equation
Price = Number x Price
So Price = 536.
Since it was 67% off we multiple the price of the original by .67.
So
536 = .67x
Solve for x = 536/.67 = 800
The original Price is $800.
check by multiplying by the sale %.
How are the triangles similar pleaseee help I’ll give you BRAINLIEST
Answers
An employee started a new job and must enroll in a new family health insurance plan. One of the options involves prescription drug coverage. The employee estimates that the entire family will fill 6 prescriptions per month, totaling $850. The monthly premium for the plan is $48, with 90% coverage for the first $450 in prescription costs, then 80% coverage for all prescription costs over $450. What is the total out-of-pocket expense for one month?
$173
$125
$773
$677
Answers
The total out-of-pocket expense for one month is $677. The correct option is D.
The first step is to calculate the amount of the prescription costs that will be covered by the insurance plan.
Since the family will fill 6 prescriptions per month and the total cost is $850, the average cost per prescription is $850/6 = $141.67 per prescription.
The insurance plan covers 90% of the first $450 in prescription costs, which is $450 * 0.9 = $405.
The remaining $141.67 - $405 = -$263.33 of the first prescription is not covered, since it is below the $450 threshold. This means that the family will have to pay the full cost of the first prescription, and the insurance will not contribute anything to it.
For the remaining 5 prescriptions, the insurance will cover 80% of the cost, since they are over the $450 threshold. The remaining 20% will be the family's responsibility.
The cost of the remaining 5 prescriptions is $141.67 x 5 = $708.35.
The insurance will cover 80% of this amount, which is $708.35 x 0.8 = $566.68.
The family will be responsible for the remaining 20% of the cost, which is $708.35 x 0.2 = $141.67.
Adding up all the costs, the total out-of-pocket expense for one month is:
$405 (first prescription) + $141.67 (20% of remaining prescription costs) + $48 (monthly premium) = $594.67
Therefore, the correct answer is option D: $677.
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find the third, fourth, and fifth terms of the sequence defined by
a1 = 1, a2 = 3,
and
an = (−1)nan − 1 + an − 2
for
n ≥ 3.
Answers
The third term (a3) of the sequence is -8, the fourth term (a4) is 35, and the fifth term (a5) is -183. These values are obtained by applying the given formula recursively and substituting the previous terms accordingly. The calculations follow a specific pattern and are derived using the provided formula.
The sequence is defined by the following formula:
a1 = 1, a2 = 3,
and
an = (-1)nan - 1 + an - 2 for n ≥ 3.
To find the third term (a3), we substitute n = 3 into the formula:
a3 = (-1)(3)(a3 - 1) + a3 - 2.
Next, we simplify the equation:
a3 = -3(a2) + a1.
Since we know a1 = 1 and a2 = 3, we substitute these values into the equation:
a3 = -3(3) + 1.
Simplifying further:
a3 = -9 + 1.
Therefore, the third term (a3) is equal to -8.
To find the fourth term (a4), we substitute n = 4 into the formula:
a4 = (-1)(4)(a4 - 1) + a4 - 2.
Simplifying the equation:
a4 = -4(a3) + a2.
Since we know a2 = 3 and a3 = -8, we substitute these values into the equation:
a4 = -4(-8) + 3.
Simplifying further:
a4 = 32 + 3.
Therefore, the fourth term (a4) is equal to 35.
To find the fifth term (a5), we substitute n = 5 into the formula:
a5 = (-1)(5)(a5 - 1) + a5 - 2.
Simplifying the equation:
a5 = -5(a4) + a3.
Since we know a4 = 35 and a3 = -8, we substitute these values into the equation:
a5 = -5(35) + (-8).
Simplifying further:
a5 = -175 - 8.
Therefore, the fifth term (a5) is equal to -183.
In summary, the third term (a3) is -8, the fourth term (a4) is 35, and the fifth term (a5) is -183.
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what is the equation of a straight line is parallel to y = 4x-1?
Answers
Answer: i dont know
Step-by-step explanation: