9514 1404 393
Answer:
see attached
Step-by-step explanation:
The base and height are perpendicular to each other. In each case, there is only one figure having a labeled h segment perpendicular to the labeled b.
HELP AS SOON AS POSSIBLE
The coordinates of polygon A'B'C'D' after the rotation of 180º are given as follows:
A'(0,0), B'(-5,-2), C'(-5,5), D'(0,3).
What are the rotation rules?The five more known rotation rules are given as follows:
90° clockwise rotation: (x,y) -> (y,-x).90° counterclockwise rotation: (x,y) -> (-y,x).180° clockwise and counterclockwise rotation: (x, y) -> (-x,-y).270° clockwise rotation: (x,y) -> (-y,x).270° counterclockwise rotation: (x,y) -> (y,-x).The original coordinates for this problem are given as follows:
A(0,0), B(5,2), C(5,-5), D(0,-3).
Exchanging the sign of each of the coordinates, the coordinates after the rotation are given as follows:
A'(0,0), B'(-5,-2), C'(-5,5), D'(0,3).
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6x = 72
one step equation
Answer:
Hi! The answer to your question is x = 12
Step-by-step explanation:
☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
A solid figure is composed of a cube and a right triangular
prism. The figure and some of its dimensions are shown in
this diagram.
- 8 cm
What is the volume of the figure?
A
6 cm
B
560 cubic centimeters
704 cubic centimeters
C 728 cubic centimeters
Answer:
Option B
Step-by-step explanation:
704 cubic centimeters
F(x)= 3x+4
find inverse, domain, at range of the function and it's inverse.
Answer:
12
вот правильный ответ
choose number between 49-95 that is a multiple of 2,4, and 5
PLS HELP The histogram displays donations in dollars to a charity. A histogram titled Donations to Charity In Dollars with the x-axis labeled Donations. The x-axis has intervals of 10 to 19, 20 to 29, 30 to 39, 40 to 49, and 50 to 59. The y-axis is labeled Number of Donations and starts at 0 with tick marks every one unit up to 5. There is a shaded bar above 10 to 19 that stops at 4, above 20 to 29 that stops at 3, above 30 to 39 that stops at 1, and above 50 to 59 that stops at 1. There is no shaded bar for 40 to 49. Which statement best describes the spread and distribution of the data?
The data is almost symmetric, with a maximum range of 49. This might happen if the charity suggested donation minimum of $35 and donors followed that.
The data is skewed, with a maximum range of 49. This might happen if the donations were only allowed in cash and many donors did not have much cash on them.
The data is bimodal, with a maximum range of 49. This might mean that the most popular amounts to donate were between 10 and 19 and 51 and 59 dollars.
The data is symmetric, with a maximum range of 59. This might happen if everyone donated a percent of their salaries.
Based on the given histogram, the data is skewed with a maximum range of 49.
This is because the frequency bars are not evenly distributed across the x-axis intervals, indicating that the data is not symmetric. The lack of a shaded bar for the 40 to 49 interval also suggests that there were fewer donations in that range compared to the other intervals.
One possible explanation for this skewness could be that the charity had suggested donation levels, with a minimum of $10, resulting in a large number of donations in the 10 to 19 interval. Additionally, the shaded bar stopping at 1 for the 30 to 39 and 50 to 59 intervals suggests that there were fewer donations in those ranges. This could be due to a variety of reasons, such as donors being more likely to give in the suggested $10 increments, or the charity's fundraising efforts being more effective at attracting donors in certain age or income brackets.
Overall, the histogram does not suggest a bimodal distribution, as there is not a clear separation between two distinct modes. The maximum range of 49 also indicates that there were no extreme outliers or large donations that would skew the data towards a higher range. Therefore, it is likely that the data represents a typical distribution of donations to a charity, with most donors giving smaller amounts and fewer donors giving larger amounts.
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help me with this!! what is 452 x 271
Answer:122492
Step-by-step explanation:
Duane builds a square snow fort that is 4 feet long on each side. The area of his snow fort is _ square feet .he then builds a second snow fort hat has an area that double the area of his first snow fort What could the length and width of Duane’s second snow fort be?
Customer pays $0.035 per minute for local calls, if the customer made 60 local calls that all lasted 3 minutes, how much will the customer pay?
The customer will pay $6.30 for the 60 local calls that all lasted 3 minutes.
To find out how much the customer will pay, we need to calculate the total cost for all the local calls.
Step 1: Calculate the total number of minutes for all the calls
Since the customer made 60 local calls and each call lasted 3 minutes, we can multiply 60 by 3 to get the total number of minutes.
60 calls * 3 minutes/call = 180 minutes
Step 2: Calculate the total cost for all the minutes
The customer pays $0.035 per minute for local calls. To find the total cost, we can multiply the total number of minutes by the cost per minute.
180 minutes * $0.035/minute = $6.30
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Circle E has a radius of 4.1 meters. FG is a chord and HE is a perpendicular bisector of FG. If FG = 6.5 meters, calculate the distance of IH.
We have to find the length of IH.
We can draw this as:
Both segments EF and EI are radius of the circle.
Also, EH is the projection of EF into the horizontal axis, and can be written as:
\(EH=EF\cdot\cos (\alpha)\)We can also relate FH, that has a length that is half of FG, as the projection of EF in the vertical axis. This can be written as:
\(\begin{gathered} FH=\frac{FG}{2}=EF\cdot\sin (\alpha) \\ \frac{6.5}{2}=4.1\cdot\sin (\alpha) \\ \sin (\alpha)=\frac{6.5}{2}\cdot\frac{1}{4.1}\approx0.79 \\ \alpha=\arcsin (0.79) \\ \alpha\approx52.44\degree \end{gathered}\)We can use this result to solve for IH as:
\(\begin{gathered} IH=EI-EH \\ EI=EF \\ EH=EF\cdot\cos (\alpha) \\ \Rightarrow IH=EF-EF\cdot\cos (\alpha) \\ IH=EF(1-\cos (\alpha)) \\ IH=4.1\cdot(1-\cos (52.44\degree)) \\ IH\approx4.1(1-0.61) \\ IH\approx4.1\cdot0.39 \\ IH\approx1.6 \end{gathered}\)Answer: IH = 1.6 meters
Please help urgent thank you
If he wants an average of 84, he needs to get at least 93 points.
What score does he need to get in the next test?Remember that the average value between 3 values A, B, and C is:
(A + B + C)/3
Here we know that the first two scores are 76 and 83 points, let's say that the third score is x, if we want to have an average of 84 or more, then we need to solve:
(76 + 83 + x)/3 = 84
159 + x = 252
x = 252 - 159
x = 93
So he needs to get at least 93 points in the next exam.
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Which shows one way to determine the factors of x3 - 12x7 - 2x + 24 by grouping?
The factored form of the polynomial x^3 - 12x^2 - 2x + 24 by grouping is (x - 12)(x^2 - 2).
To determine the factors of the polynomial x^3 - 12x^2 - 2x + 24 by grouping, we can follow these steps:
Step 1: Group the terms in pairs. In this case, we can pair the first two terms and the last two terms:
(x^3 - 12x^2) + (-2x + 24)
Step 2: Factor out the greatest common factor from each pair. From the first pair, we can factor out x^2, and from the second pair, we can factor out -2:
x^2(x - 12) - 2(x - 12)
Step 3: Notice that we now have a common binomial factor of (x - 12) in both terms. Factor out this common binomial factor:
(x - 12)(x^2 - 2)
Therefore, the factored form of the polynomial x^3 - 12x^2 - 2x + 24 by grouping is (x - 12)(x^2 - 2).
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4. Amy, Betty and Carol have 96 books altogether. Betty has 6 books less than Amy and Carol has half as many as Betty. How many books does each girl have?
The Amy has 42 books, Betty has 36 books, and Carol has 18 books.
Let's set up equations to represent the given information:
Let A represent the number of books Amy has.
Let B represent the number of books Betty has.
Let C represent the number of books Carol has.
Let's say Amy has x books.
Betty has 6 books less than Amy, so Betty has (x - 6) books.
Carol has half as many books as Betty, so Carol has (x - 6)/2 books.
According to the problem, the total number of books they have is 96.
So, we can write the equation:
x + (x - 6) + (x - 6)/2 = 96
To solve the equation, we can simplify it by multiplying through by 2 to remove the fraction:
2x + 2(x - 6) + (x - 6) = 192
2x + 2x - 12 + x - 6 = 192
5x - 18 = 192
5x = 210
x = 42
Amy has 42 books.
Betty has (42 - 6) = 36 books.
Carol has (36)/2 = 18 books.
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Note: Enter your answer and show all the steps that you use to
solve this problem in the space provided.
You have a credit card with a balance of $1,367.90 at a 9.5%
APR. You pay $400.00 each month on the due date until the
card is paid off. How many months does it take to pay off the
card, and what is the total amount paid including interest?
Be sure to include in your response:
• the answer to the original question
. the mathematical steps for solving the problem
demonstrating mathematical reasoning
Given statement solution is :- It takes 4 months to pay off the card, and the total amount paid, including interest, is $1600.
To determine the number of months it takes to pay off the credit card and the total amount paid, including interest, we can follow these steps:
Step 1: Calculate the monthly interest rate.
The APR (Annual Percentage Rate) is given as 9.5%. To find the monthly interest rate, we divide this by 12 (the number of months in a year):
Monthly interest rate = 9.5% / 12 = 0.0079167
Step 2: Determine the monthly payment.
The monthly payment is given as $400.
Step 3: Calculate the interest and principal paid each month.
The interest paid each month can be calculated by multiplying the monthly interest rate by the current balance.
Principal paid = Monthly payment - Interest paid
Step 4: Track the remaining balance each month.
Starting with the initial balance of $1,367.90, subtract the principal paid each month to determine the new balance.
Step 5: Repeat Steps 3 and 4 until the balance reaches zero.
Continue calculating the interest and principal paid each month, updating the balance, until the remaining balance becomes zero.
Step 6: Determine the total number of months and the total amount paid.
Count the number of months it takes to reach a balance of zero. Multiply the number of months by the monthly payment ($400) to find the total amount paid.
Let's calculate the number of months and the total amount paid, including interest:
Month 1:
Interest paid = 0.0079167 * $1,367.90 = $10.84
Principal paid = $400 - $10.84 = $389.16
New balance = $1,367.90 - $389.16 = $978.74
Month 2:
Interest paid = 0.0079167 * $978.74 = $7.75
Principal paid = $400 - $7.75 = $392.25
New balance = $978.74 - $392.25 = $586.49
Month 3:
Interest paid = 0.0079167 * $586.49 = $4.64
Principal paid = $400 - $4.64 = $395.36
New balance = $586.49 - $395.36 = $191.13
Month 4:
Interest paid = 0.0079167 * $191.13 = $1.51
Principal paid = $400 - $1.51 = $398.49
New balance = $191.13 - $398.49 = -$207.36 (Paid off)
It takes 4 months to pay off the credit card. Now, let's calculate the total amount paid, including interest:
Total amount paid = 4 * $400 = $1600
Therefore, it takes 4 months to pay off the card, and the total amount paid, including interest, is $1600.
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can you please solve this for me I'll make sure to give the best review
-9 is an integer
the location of -9 is with 41
6.3 is a repeating decimal
the location is with 5.86666...
-4/5 is a fraction
the location is with 11/12
Two office buildings are 100ft apart from the edge of the shorter building the angle of elavation to the top of the taller building is 28 and the angle of depression to the bottom is 42 how tall is each building round to the nearest foot
Answer:
how to do this
Step-by-step explanation:
Find the length of the third side. If necessary, write in simplest radical form.
2√34, 6
The length of the third side is 2√34 + 6.
We can use the triangle inequality theorem to solve this problem. According to the theorem, the sum of any two sides of a triangle must be greater than the length of the third side.
Let x be the length of the third side. Then we have:
2√34 + 6 > x
Subtracting 6 from both sides, we get:
2√34 > x - 6
Adding 6 to both sides, we get:
x < 2√34 + 6
Therefore, the length of the third side must be less than 2√34 + 6.
To find the exact length of the third side, we need to check if the triangle inequality is satisfied for an equality. In other words, we need to check if:
2√34 + 6 = x
If this is true, then the given sides can form a triangle.
Simplifying the equation, we get:
x = 2√34 + 6
The exact length is 2√34 + 6 if the triangle inequality is satisfied for an equality.
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Carter answered 5% of the questions
on a math test incorrectly, or 1
question. What fraction of the
questions did Carter answer correctly?
Answer:19/20
1-20=19
1÷20=0.05
0.05=5%
I hope this is good enough:
math mat mhaha ha hbahuh gyahy w guabhbhabhabhnahqnhuabuha vha ya yva cyvvahba cya yva buabbyga hay avu aygabyga ygabgyagyabhyabga ahh abbahhajna buiajaj
qhubuag qjjbbaqbjbqhuqguqbqbqyqbyqbyqb math help
Which is a correct description of the graph below?
-2
2T
TT
π
y = sin shifted to the right by units
the graph of y = sin shifted to the right by units
the graph of y = sin
shifted to the left by units
O y = cos(0-5)
The answer is the first option.
The function of the cosine of the angle θ is correct. Then the correct option is D.
What is trigonometry?Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.
It is a function that repeats itself in a particular time interval.
The graph of the sine of the angle θ is drawn below.
If the sine of the angle θ is shifted rightward by π units. Then the graph is obtained.
And if the cosine of the angle θ is shifted leftward by π units. Then the graph can also be obtained.
But the function of the cosine of the angle θ is correct. Then the correct option is D.
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Parametric Functions
Answer:
Step-by-step explanation:
it think it 23 becasue u add
1 divide it by 2
Mary receives a quarterly bonus of $750 which she deposits into a savings account that pays her 3.99% interest compound quarterly. How much will he have saved after 15 years?
Mary will have approximately $1176.10 saved after 15 years of depositing her quarterly bonus of $750 into a savings account with a 3.99% interest compounded quarterly.
To calculate the amount Mary will have saved after 15 years with quarterly compounding interest, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A = Final amount (amount saved after 15 years)
P = Principal amount (initial deposit)
r = Annual interest rate (in decimal form)
n = Number of times the interest is compounded per year
t = Number of years
In this case, Mary's quarterly bonus of $750 is the principal amount (P). The annual interest rate (r) is 3.99% or 0.0399 in decimal form. Since the interest is compounded quarterly, the compounding frequency (n) is 4. The number of years (t) is 15.
Substituting these values into the formula, we have:
A = 750(1 + 0.0399/4)^(4*15)
Calculating the exponent first:
(1 + 0.0399/4)^(4*15) ≈ 1.038134
Now, substituting the calculated exponent into the formula:
A = 750 * 1.038134 ≈ $1176.10
Therefore, Mary will have approximately $1176.10 saved after 15 years of depositing her quarterly bonus of $750 into a savings account with a 3.99% interest compounded quarterly.
It's worth noting that this calculation assumes Mary makes the same $750 deposit at the end of each quarter consistently over the 15-year period and does not make any withdrawals from the account during that time. Additionally, the actual amount may vary slightly due to rounding and any potential changes in interest rates over the years.
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Solve x^2-6+58=0 please fast I need help
Answer:
No real solutions.
Step-by-step explanation:
When solving this equation, you have to figure out if the two sides of an equation equal each other.
Solve.
x^2-6+58 = 0
Answer: No real solutions.
This is due to the fact that x^2-6+58 does not equal 0.
Hope this helps!
Btw, if this is correct, could I have Brainliest? Thanks!
100POINTS!!!!!!!!!!!!!!! Use the table to answer the questions. The values in the table form a(n) ______ sequence. The term values are shown in the ______ row, and the term numbers are shown in the ______ row. This sequence is associated with a(n) ______ function. The domain of the function is the set of time values: __________.
Answer:
arithmeticbottomtoplinear≥ 0Step-by-step explanation:
We observe that the values in the top row are sequential, and that the values in the bottom row have a common difference of 32. That means the sequence is an arithmetic sequence.
__
The values in the table form an arithmetic sequence. The term values are shown in the bottom row, and the term numbers are shown in the top row. This sequence is associated with a linear function. The domain of the function is the set of time values: greater than or equal to zero.
__
Comment on the function
This function seems to be the linear function ...
distance = 32×time - 16
It seems a little odd that the distance associated with time zero is negative. We usually think of distance as a positive value, whereas displacement can be a signed value.
As a rule, time is measured as positive from some reference point (the start of motion, for example). Here, we have no reason to believe that the function is intended to be defined for negative time values.
Answer:
arithmetic
bottom
top
linear
≥ 0
Step-by-step explanation:
Solve the exponential equation: 4x – 2 = 1∕4
Question 9 options:
A)
x = 1
B)
x = –1
C)
x = –2
D)
x = 2
4
Step-by-step explanation:
I do not know but maybe 1/4
Please help. I’ll mark you as brainliest if correct!
Answer:
(x, 2 -2x)
Step-by-step explanation:
Written in standard form, both equations are ...
2x +y = 2
Since they are both the same, there are an infinite number of solutions. We can write those solutions in terms of x as ...
y = 2 -2x
The solutions are ...
(x, 2 -2x)
The circumference of a circle is 19π cm what is exact the area of the circle ?
Do not round. include correct units show all your work
\(90.25\pi \: cm ^{2} \)
Step-by-step explanation:
C =
\(2\pi \: r\)
R=
\( \frac{19}{\pi } = 9.5\pi\)
Now the area of the circle =
\(\pi \: r ^{2} \)
A =
\(\pi \times 9.5 ^{2} \)
=
\(90.25\pi \: cm ^{2} \)
Hopefully this helps! :)
Please answer this correctly
Answer:
The answer is 2.5ft².
Step-by-step explanation:
Given that the area of trapezoid formula is A = 1/2×(a+b)×h where a and b is the length and h is the height. Then substitute the following values into the formula :
\(area = \frac{1}{2} \times (a + b) \times h\)
Let a = 1.2,
Let b = 0.8,
Let c = 2.5,
\(area = \frac{1}{2} \times (1.2 + 0.8) \times 2.5\)
\(area = \frac{1}{2} \times 2 \times 2.5\)
\(area = 2.5 {feet}^{2} \)
Find all of square roots of 36i and write the answers in rectangular (standard) form
Please help me a soon as possible. See the graph.
The evaluation of the limits of the piecewise function at the specified intervals are as follows;
\(\lim\limits_{x\to2^+}\frac{f(x) -1}{f(x + 4)} = -2\)
\(\lim \limits_{x\to 1^-}f(f(x) + 1) = 11\)
\(\lim\limits_{h\to 0}\frac{f(6+h) - f(6)}{h} = 2\)
What is a piecewise function?A piecewise function is a function with rules or definition of the function based on the interval of the function.
The equation representing the piece wise function at x → 2⁺, can be found as follows;
Points on the graph of the function are; (3, 2), and (4, 1)
Slope of the graph of the function = (1 - 2)/(4 - 3) = -1
Equation of the function is; y - 2 = -1·(x - 3) = 3 - x
y = 3 - x + 2 = 5 - x
y = 5 - x
y = f(x) = 5 - x
f(x) - 1 = 5 - x - 1 = 4 - x
f(x) - 1 = 4 - x
f(x + 4) = 5 - (x + 4) = 5 - x - 4 = 1 - x
f(x - 4) = 1 - x
\(\frac{f(x) - 1}{f(x + 4)} = \frac{4 - x}{1 - x}\)
\(\lim\limits_{x\to 2^+}\frac{f(x) - 1}{f(x + 4)} = \frac{4 - (2)}{1 - 2} = \frac{2}{-1}= -2\)The coordinate points on the piecewise function at x → 1⁻ are; (0, 3), and (1, 4)
The slope of the graph is; (4 - 3)/(1 - 0) = 1
The equation is; y - 3 = x
y = f(x) = x + 3
f(f(x) + 1) = f((x + 3) + 1) = f((x + 3) + 3 + 1) = f(x + 7)
f(x + 7) = (x + 7 + 3) = x + 10
\(\lim \limits_{x \to 1^{-1}} f(f(x) + 1) = 1 + 10 = 11\)The points on the piecewise function at x = 6 are; (5, 2), and (7, 6)
The slope is; (6 - 2)/(7 - 5) = 2
The equation is; y - 2 = 2·(x - 5) = 2·x - 10
y = 2·x - 10 + 2 = 2·x - 8
y = f(x) = 2·x - 8
f(6 + h) = 2·(6 + h) - 8 = 12 + 2·h - 8 = 4 + 2·h
f(6) = 2 × 6 - 8 = 4
f(6 + h) - f(6) = 4 + 2·h - 4 = 2·h
\(\frac{f(6 + h) - f(6)}{h} = \frac{2\cdot h}{h}= 2\)
The limits of the function is therefore;
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