Answer:
(-2, 1)
Step-by-step explanation:
The coordinates of the vertex A of square ABCD is (1, 6).
What is Translation?Translation is a type of transformation of geometrical figures. After translation, the original figure is shifted from a place to another place without affecting it's size.
Given that,
A square ABCD undergoes a translation of (-4, -1) and a rotation of 90° to form the square A''B''C''D''.
Let (x, y) be the coordinates of A.
After the translation of (-4, -1), it becomes,
A'(x - 4, y - 1)
When it rotates to 90°, it becomes,
A''(-(y - 1), x - 4) = A''(1 - y, x - 4) = (-5, -3)
1 - y = -5 ⇒ y = 1 + 5 = 6
x - 4 = -3 ⇒ x = 1
Coordinates are (1, 6)
Hence the coordinates of A is (1, 6).
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The complete question is as follows :
Square A"B"C"D" is the final image after the rule T -4, -1 • R 0, 90° (x, y) was applied to square ABCD. What are the coordinates of vertex A of square ABCD?
n a coordinate plane, a square A double-prime B double-prime C double-prime D double-prime has points (negative 5, negative 3), (negative 3, negative 1), (negative 1, negative 3), (negative 3, negative 5).
A small school with 60 total students records how many of their students attend on each of the 180 days in a school year. the main number of students in attendance daily is 55 students and the standard deviation is 4 students. suppose we take a random sample of five School days and calculate the mean number of students in attendance on those days in each sample
Answer:
For the sampling distribution,
a) Mean = μₓ = 55.0 students.
b) Standard Deviation = 1.8 students.
Step-by-step explanation:
The complete Question is attached to this solution.
The Central limit theorem explains that for the sampling distribution, the mean is approximately equal to the population mean and the standard deviation of the sampling distribution is related to the population standard deviation through
σₓ = (σ/√n)
where σ = population standard deviation = 4
n = sample size = 5
Mean = population mean
μₓ = μ = 55 students.
Standard deviation
σₓ = (σ/√n) = (4/√5) = 1.789 students = 1.8 students to 1 d.p
Hope this Helps!!!
Combine like terms to simplify the expression below 14x- (2x + y). PLEASE SHOW STEPS SO I CAN UNDERSTAND FOR MYSELF! THANK YOU!
A. 12x
B. 12x- y
C. 14x -y
D. 12x +2
Answer:B
Step-by-step explanation:
14x-(2x+y)
14x-2x-y
12x-y
Trey evaluated 12/15 + 1/10 and got an answer of 13
25. Which statement is true about his answer?
A. His answer is not correct because when you add fractions, the sum is always greater than 1.
B.His answer is not correct because the sum cannot be less than either addend.
C.His answer is correct because 12 + 1 = 13 and 15 + 10 = 25.
D.His answer is correct because all the fractions are less than 1.
Answer:
C. His answer is correct because 12 + 1 = 13 and 15 + 10 = 25.
Step-by-step explanation:
Need help pleaseeeeeeee
a student asks you why it is possible to have an increase of 150% in price, but not a decrease of 150% in price. how would you answer the student?
Answer:
You can increase by 100% and more of the price in something but you can never decrease more than 100% of something.
Step-by-step explanation:
If you have something that costs 8 dollars to begin with then all of the sudden it costs 20 dollars, it increased by 150%. 8 is 100$ of 8, 4 is 50% of 8. 8+4=12. 12+8=20. The price began at 8 then increased by itself plus half of it which is 12.
IF you decrease the price by 150% it'll be -20 dollars. You cant physically have negative amount of money.
What is the solution of the system of equations?
3x − 2y = −9 4x + 3y = 22
Answer:
Step-by-step explanation:
hello :
3x − 2y = −9 ...(*)
4x + 3y = 22...(**)
multiply (*) by 3 and(**) by 2 you have : 9x-6y = -27
8x+6y =44
add this equations : 17x = 17 so : x=1
put this value in : 8x+6y=44
8(1)+6y=44
6y=36
y=6
one solution : (1 ; 6)
Answer:0
Step-by-step explanation:
0+0
what decimal is equivalent to 1 5/8
The mixed fraction number 1 5/8 is equivalent to the decimal number 1.625.
What is an equivalent expression?The equivalent is the expression that is in different forms but is equal to the same value.
The decimal number is the sum of a whole number and part of the fraction number. The fraction number is greater than zero but less than one.
The mixed fraction is converted into a fraction number.
1 5/8 = 13/8
Convert the fraction number into a decimal number. Then we have
13/8 = 1.625
The mixed fraction number 1 5/8 is equivalent to the decimal number 1.625.
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Final answer:
1 5/8 is equivalent to the decimal 1.625. To find this, one must convert the fraction 5/8 to its decimal form, 0.625, and then add it to the whole number 1.
Explanation:
The decimal equivalent to 1 5/8 is found by converting the fraction 5/8 to a decimal and adding it to the whole number 1. The fraction 5/8 is equivalent to 0.625 when converted to decimal form. Therefore, when you combine 1 with 0.625, the result is 1.625.
To convert 5/8 to decimal, divide 5 by 8, which equals 0.625. This process is similar to using the reciprocal to multiply, as discussed in the context of 1/8 being a '125–like' number. In this case, divide by 8 rather than multiply.
A trailer hold 1469 shingles. How many trailers would you need to hold 4000 shingles? Remember to use units; in this case, trailers.
Answer:It would be 3 even tho it gives 4407
Step-by-step explanation:
in the equation x/8=23/40 what does x equal
Answer:
4.6
Step-by-step explanation:
[tex]\frac{x}{8}=\frac{23}{40}[/tex]
x*40=40x
23*8=184
40x=184
x=4.6
Answer:
x = 23/5 = 4.600
Step-by-step explanation:
Step 1 :
Simplify 23/40
x/8 - 23/40 =0
Step 2 :
Simplify x/8
x/8 - 23/40 = 0
Find the Least Common Multiple
The left denominator is : 8
The right denominator is : 40
Number of times each prime factor
appears in the factorization of:
Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
2 3 3 3
5 0 1 1
Product of all
Prime Factors 8 40 40
Least Common Multiple:
40 to be continued
HELP ME PLEASE:/ (Above)
Answer:
The goals are to feed the world, to develop better foods, and to fight disease
Step-by-step explanation:
PLEASE HELP ME!!!! The average temperature of Kopikoville was reported to be - 19° last year. This year, the average temperature of Kopikoville rose by 10°. Which of the following is true about this year's average temperature of Kopikoville?
A.
This year's average temperature of Kopikoville is - 9°.
B.
This year's average temperature of Kopikoville is 29°.
C.
This year's average temperature of Kopikoville is - 29°.
D.
This year's average temperature of Kopikoville is 9°.
Final answer:
To find the current year's average temperature of Kopikoville, add the increase of 10°C to last year's temperature of -19°C, which results in an average temperature of -9°C for this year, making the correct answer option A.
Explanation:
The question asks to determine the current year's average temperature of Kopikoville based on the last year's average temperature and the change that occurred this year. To calculate this, we consider last year's average temperature of Kopikoville, which was -19°C, and we add the increase in temperature this year, which was 10°.
We perform a simple addition: -19°C + 10°C, which equals -9°C. Thus, this year's average temperature of Kopikoville is -9°C. The correct answer is option A.
Evaluate 6t-20-32t when t=6 and u =1/4
Hope this will help u...
Answer:
Multiply the t and 6 which equals 36 so now
it is 36t -20-192t now evaluate it
Step-by-step explanation:
Use the model to write the equivalent fraction. The colored pieces show parts of the whole.
Final Answer:
The equivalent fraction for the given model with colored pieces representing parts of the whole is 3/4.
Explanation:
In the provided model, there are three colored pieces out of a total of four. To determine the equivalent fraction, we look at the ratio of the colored pieces to the total number of pieces. Since there are three colored pieces and four pieces in total, the equivalent fraction is 3/4. This fraction represents the relationship between the colored parts and the whole, where the numerator (3) indicates the number of colored pieces, and the denominator (4) represents the total number of pieces in the model.
The process of finding equivalent fractions involves identifying a fraction that represents the same part-to-whole relationship. In this case, we can simplify the fraction by dividing both the numerator and denominator by their greatest common factor. However, in this instance, 3/4 is already in its simplest form, as 3 and 4 do not have a common factor other than 1. Therefore, the equivalent fraction remains 3/4.
Understanding fractions is essential in various mathematical concepts and real-world applications. They represent parts of a whole and are crucial in areas such as geometry, probability, and everyday calculations. In this scenario, the fraction 3/4 precisely captures the proportion of colored pieces in the given model, providing a clear and concise representation of the relationship between the highlighted elements and the entirety of the model.
H(x)=-4x - 7, when x = 3
Answer:
-19
Step-by-step explanation:
To solve this plug 3 in for x.
H(x)= -4 (3) - 7H(x)= -12 - 7H(x)= -19I'll mark the first correct answer brainliest. i only need the bottom question. thanks :)
Answer:
1/2x^2 -3
Step-by-step explanation:
The first equation is 1/2x^2 + 1 and since this equation is the first one minus 4 1-4= -3 so you would get this new equation.
Juanita’s circular table has a diameter of 4 feet. She wants to know the area of the table.
Answer:
=12.56 ft^2
Step-by-step explanation:
First we need to find the radius
r = d/2 = 4/2 =2
Then we can find the area
A = pi r^2
= pi ^ 2^2
= 4pi
= 4*3.14
=12.56 ft^2
Answer:
12.56 ft²
Step-by-step explanation:
Radius = 4/2 = 2 ft
Area = 3.14 × 2²
= 12.56 ft²
2447457.62712 into standard form
Final answer:
To convert 2447457.62712 into standard form, write it in scientific notation as 2.447457 × 10^5.
Explanation:
To convert 2447457.62712 into standard form, we need to write it in scientific notation. In scientific notation, a number is written as the product of a decimal number between 1 and 10, and a power of 10.
First, count the number of decimal places in the original number. In this case, there are 5 decimal places.
Next, move the decimal point 5 places to the left to create a number between 1 and 10. The result is 2.447457.
Finally, write the number in scientific notation by multiplying it by 10 raised to the power of the number of decimal places. In this case, the power of 10 is 5, so the scientific notation of 2447457.62712 is 2.447457 × 105.
There are 20 more pennies than nickels in a jar. There are 5 time as many pennies as nickels in the jar. How much money is the jar?
Answer:
50 cents
Step-by-step explanation:
Let Penny = p and Nickel = n
Given:
p = n+20p = 5nComparing the two:
n+20= 5n4n=20n= 20/4n= 5 nickelsp= 5n = 25 penniesTotal money in the jar:
5*5+25*1= 50 centsFollow these steps to apply what you have learned about the angles of a triangle.
Find m∠B : 100° + 127° + m∠B = 360°
Then, find the measure of angle A.
Which is the measure of angle A?
A. 133°
B. 53°
C. 47°
D. 80°
YOUR ANSWER IS IN THE ATTACHMENT PLZZ REFER TO THE ATTACHMENT
By using exterior angle theorem of triangle, Angle A is <A = [tex]47^{0}[/tex]
What is exterior angle theorem?"If a side of a triangle is produced, then the exterior angle so formed is equal to the sum of the two interior opposite angles is known exterior angle theorem."
By using Exterior angle theorem
<A + <D = [tex]100^{0}[/tex]..............(1)
From the figure we can find <D
<D = [tex]180^{0}-127^{0}[/tex]
⇒ <D = [tex]53^{0}[/tex]
Substituting <D in equation (1)
<A + <D = [tex]100^{0}[/tex]
⇒ <A + [tex]53^{0} = 100^{0}[/tex]
⇒ <A = [tex]100^{0}-53^{0}[/tex]
⇒ <A = [tex]47^{0}[/tex]
From the straight line in the figure, we can write using exterior angle theorem
<A + <B = [tex]180^{0}[/tex]
⇒ <B = [tex]180^{0} -47^{0}[/tex]
⇒ <B = [tex]133^{0}[/tex]
Thus, By using exterior angle theorem of triangle, <A = [tex]47^{0}[/tex]
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Miguel is playing a game in which a box contains four chips with numbers written on them. Two of the chips have the number 1, one chip has the number 3, and the other chip has the number 5. Miguel must choose two chips, and if both chips have the same number, he wins $2. If the two chips he chooses have different numbers, he loses $1 (–$1).
Let X = the amount of money Miguel will receive or owe. Fill out the missing values in the table. (Hint: The total possible outcomes are six because there are four chips and you are choosing two of them.)
Xi
2
–1
P(xi)
What is Miguel’s expected value from playing the game?
Based on the expected value in the previous step, how much money should Miguel expect to win or lose each time he plays?
What value should be assigned to choosing two chips with the number 1 to make the game fair? Explain your answer using a complete sentence and/or an equation.
Answer:
To check all the events (6), we label the chips. Suppose one chip with 1 is labeled R1 and the other B1 (as if they were red and blue). Now, lets take all combinations; for the first chip, we have 4 choices and for the 2nd chip we have 3 remaining choices. Thus there are 12 combinations. Since we dont care about the order, there are only 6 combinations since for example R1, 3 is the same as 3, R1 for us.
The combinations are: (R1, B1), (R1, 3), (R1, 5), (B1, 3), (B1, 5), (3,5)
We have that in 1 out of the 6 events, Miguel wins 2$ and in five out of the 6 events, he loses one. The expected value of this bet is: 1/6*2+5/6*(-1)=-3/6=-0.5$. In general, the expected value of the bet is the sum of taking the probabilities of the outcome multiplied by the outcome; here, there is a 1/6 probability of getting the same 2 chips and so on. On average, Miguel loses half a dollar every time he plays.
6n + 2 + 4n = 52
Answer: The Value of n is ......
Answer:
10 n = 50-2
10n = 50
n = 50÷ 10
n =5
Given the table of values below, which of the following ordered pairs are found on the graph of the inverse function?
A. (2.-12), (1, -9), (0.-6),(-1, -3), (-2,0)
B. (-2,-12), (-1,-9), (0, -6), (1, -3), (2,0)
C. (12,-2), (9, -1). (6.0), (3, 1), (0.2)
D. (-12, 2), (-9,1),(-6, 0).(-3,-1), (0.-2)
Answer:
C
Step-by-step explanation:
The correct option is C, as the pairs in this option are the inverse of the ordered pairs given in the original function. It's important to remember that in an inverse function, the x and y values of the original pairs are swapped.
Explanation:To answer this question correctly, it's important to understand what an inverse function is. In a function, we have pairs of values where the first value is the input (or x-value) and the second value is the output (or y-value). When we talk about the inverse function, we simply swap these pairs. That is, if (a, b) is in the function, then (b, a) is in the inverse function.
Considering this fact, we can determine the answer by looking for the option in which the y-value in the original pair becomes the x-value and vice versa. Given that, option C is the correct answer: (12,-2), (9, -1), (6,0), (3, 1), (0,2). This is because they are the inverse pairs of the original table of values.
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At City Financial Bank, they have offered Haley a 7% compound interest rate. If she invests $1400 for 4 years. If they give her a compound interest rate, how much INTEREST will Haley earn at Prosper Financial Bank?
Answer:
I'm not quite sure but maybe 392??? I really don't know tho
Step-by-step explanation:
1400*4= 5600, 5600*7= 39200, 39200/100= 392
What percent is 7/8 equivalent to?
A. 87.5%
B. 8.75%
C. 1.1%
D. 11.4%
Answer:87.5
Step-by-step explanation:
Answer:
87.5%
Step-by-step explanation:
To calculate the percentage of 7/8
It will be
7/8×100
700/8
87.5%
So the final answer to the given question is 87.5%
mhmhmhmhmhmhmhmhmhmhmhmh
Answer:
3.59
Step-by-step explanation:
-×-=+
-2.31+5.9
=3.59
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Claude took out a subsidized student loan of $12,775 at a 9.6% APR
compounded monthly, to pay for his last 2 semesters of college. If he will
begin paying off the loan in 15 months, how much will he owe when he
begins making payments?
?????
Answer:
12,775.00, since the government is responsible for the interest on the loan that accrues before Claude starts making payments
Step-by-step explanation:
APEX
Final answer:
To find out how much Claude will owe after 15 months of deferment on his student loan, we use the formula for future value with compound interest, considering the loan amount, annual interest rate, and compounding period. The future value is calculated as $14,389.49, which is the amount he will owe when he starts repayment.
Explanation:
To calculate the amount Claude will owe when he begins making payments on his subsidized student loan, we need to apply the formula for the future value of a loan with compound interest.
The loan has a principal amount of $12,775, an annual interest rate of 9.6% compounded monthly, and no payments will be made for a period of 15 months (the deferment period).
The future value FV of the loan after t periods of compounding at an interest rate of r per period can be calculated by the following formula:
[tex]FV = PV (1 + r)^t[/tex]
Where:
PV is the present value or initial amount of the loan ($12,775)r is the monthly interest rate (APR/12)t is the total number of compounding periods (15 months)First, we convert the APR to a monthly interest rate:
Monthly interest rate = APR / 12 = 9.6% / 12 = 0.8% = 0.008
Now we calculate the future value after 15 months:
FV = $12,775 × (1 + 0.008)¹⁵
FV = $12,775 × (1.008)¹⁵
Using a calculator, we find:
FV ≈ $12,775 × 1.1262 ≈ $14,389.49
Therefore, Claude will owe approximately $14,389.49 when he begins making payments.
Write each expression with fewer terms
10x - 2x
10x - 3y + 2x
Answer
1. 8x
2. 12x - 3y
12x-3y
12+-3y
Answer:
8x
and
12x-3y
Hope this helps!
Four friends went Christmas shopping. At the end of the day, Jen had charged $130.00. Kyle was in debt for $123.00, and Steven had overspent his bank balance by $32.00. Bobby still had money to spare with a bank balance of $3.00. Who has the most debt at the end of the day? Explain your answer.
Step-by-step explanation:
Subtract 130-120 which is 10.
Helllppp pleassssseeeee
Answer:
132 square cm = 20.46 square inches
Step-by-step explanation:
Total surface area = area of base (square) + 4 x area of one triangle.
[tex] = {6}^{2} + 4 \times \frac{1}{2} \times 6 \times 8 \\ = 36 + 2 \times 48 \\ = 36 + 96 \\ = 132 \: {cm}^{2} \\
= 20.46\: inches^2 [/tex]
Evaluate f(3) for the piecewise function: f(x) = StartLayout enlarged left-brace 1st Row StartFraction 3 x Over 2 EndFraction + 8, x less-than negative 6 2nd row negative 3 x minus 2, negative 4, less-than-or-equal-to x less-than-or-equal-to 3 Third row 4 x + 4, x greater-than 3 EndLayout Which value represents f(3)? –11 8 12.5 16
The piecewise function f(3) evaluates to -11.
To evaluate f(3) for the given piecewise function, to determine which rule applies to the input value of 3.
Looking at the piecewise function:
f(x) = { (3x/2) + 8, x < -6
(-3x - 2), -4 ≤ x ≤ 3
(4x + 4), x > 3 }
Since 3 falls within the range -4 ≤ x ≤ 3, the second rule (-3x - 2) is applicable.
Plugging in x = 3 into the second rule,
f(3) = -3(3) - 2
= -9 - 2
= -11
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