Triangle APC is similar to triangle YKM
\(\frac{3x+11}{12}=\frac{2x-9}{32}\)\(\begin{gathered} 32(3x+11)=12(2x-9) \\ 96x+352=24x-108 \\ 96x-24x=-352-108 \\ 72x=-460 \\ x=-6.38 \end{gathered}\)I was calculating this question. However, there is an inconsistency in the APC triangle. No side can be larger than the hypotenuse in a triangle.
plz someone help on this question
Answer:
Hi there!
Your answer is:
1050 liters per 6 days
Step-by-step explanation:
350liters per 2 days
*3 to determine 6 days
1050 liters per 6 days
Hope this helps
Answer:
1050
Step-by-step explanation:
350 liters per 2 days
to get 6 days you will need to multiple 2 by 3
you need to do that to 350 too
350 x 3 = 1050
your ration is 350:2
make it to
1050:6
let me know if you need more help
Drag each number from the box to complete the equations that follow. Each number may be used once, more than once, or not at all.
(36÷__) − (36 ÷__ )=5
(__× 3) − __ =12
these are the choices 12 8 9 and 4
Answer:
(36/4)-(36/9)=5
(8*3)-12=12
Answer:
(36÷4) - (36÷9) = 5
(8x3) - 12 = 12
3
DO
Show how this expression can be written in simpler form. Explain you process.
5 to the third power x 25
Answer:
5^5
Step-by-step explanation:
25 is five to the second power, and when you multiply exponents, you add them together. So you have 5^3 x 5^2 which will be 5^5.
What was the balance immediately after the automatic payment on September 28?
Based on the information in the image, it can be inferred that the balance of the account after the payment on September 28 is $919.89
How to find the balance of the account after the payment of September 28?To find the account balance after the September 28 payment we must look at the information on the check. In this case, you see four money receipts totaling $1069.89. Below you can see that a payment for $150 was made.
So to find the balance that results after the payment we must subtract the amount paid from the total amount that was had.
$1069.89 - $150.00 = $919.89Learn more about checks in: https://brainly.com/question/29839006
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Would like some help with this question, please.
Answer:
i believe 67 its somewhat hard to tell but the line seems to be in the middle between 150 and 140
Step-by-step explanation:
since it heats up to 212 then the person lets it cool down for 10 mins the temp goes to 145 (Answer is 67)
Using an 8 sector spinner, let E be the event of getting an even. What is the probability of getting a perfect square given you got an even, i.e. P(S/E)? Are the two events independent or dependent?
Two events are dependent since the probability of getting a perfect square is affected by the fact that we already know that we got an even number.
Describe Probability?Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, where 0 indicates that the event is impossible and 1 indicates that the event is certain. For example, the probability of rolling a 6 on a fair dice is 1/6, or approximately 0.167.
In probability theory, events are often expressed as sets of possible outcomes, and probabilities are calculated based on the number of outcomes in the event relative to the total number of possible outcomes. For example, the probability of rolling an even number on a fair dice is 3/6, or 0.5, because there are three even numbers (2, 4, and 6) out of a total of six possible outcomes.
Since the event E is the event of getting an even number, the possible outcomes are 2, 4, 6, or 8.
Out of these, only 4 is a perfect square. Therefore, P(S/E) = 1/4.
These two events are dependent since the probability of getting a perfect square is affected by the fact that we already know that we got an even number.
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Order each triangle from shortest to longest. NO LINKS!!!!
Answers:
Problem 15) RS, RT , STProblem 16) BD, CD, BCThe side lengths are sorted from shortest to longest.
====================================================
Explanation:
For any triangle, the smallest side is opposite the smallest angle. Similarly, the largest side is opposite the largest angle.
With this in mind, for problem 15, the smallest side is side RS, due to angle T = 50 being the smallest angle. We don't know the value of side RS (nor the other sides so we can numerically compare them), but we don't need this info since the rule mentioned in the first paragraph is sufficient. You could use the law of cosines to help confirm the rule is true.
Also for problem 15, the longest side is side ST. This is because the opposite angle to this side is R = 70, which is the largest angle of the trio.
-------------
In problem 16, the shortest and longest sides are BD and BC respectively. This is because C = 50 and D = 70 are the smallest and largest angles (in that order) and these angles are opposite the mentioned sides in bold.
PLEASE HELP HURRYYYY PLEASEEE!!!What is the median of the data set represented by the dip plot? Enter your awnser in the box
Answer:
middle point in a datasetStep-by-step explanation:
The median is the middle point in a dataset—half of the data points are smaller than the median and half of the data points are larger. To find the median: Arrange the data points from smallest to largest. If the number of data points is odd, the median is the middle data point in the list.
The retail price of a television set is $4,500. If the buyer pays by cash, the price is 10% below the retail price. If the set is bought on higher purchase, the buyer pays a down payment of $675 and 24 monthly installments of $212.50. Calculate for the television the:
cash price to the buyer, if he pays by cash.
amount payable.
outstanding balance.
hire purchase price.
interest.
difference between the hire purchase and the cash price.
percentage interest charged.
Cash price to the buyer, if he pays by cash:
The cash price would be 10% less than the retail price of $4,500:
Cash price = $4,500 - (10% * $4,500)
Cash price = $4,500 - $450
Cash price = $4,050
Amount payable:
If the buyer chooses to purchase the TV on higher purchase, the amount payable would be the sum of the down payment and the total amount of monthly installments:
Amount payable = Down payment + (24 * Monthly installment)
Amount payable = $675 + (24 * $212.50)
Amount payable = $5,175
Outstanding balance:
The outstanding balance would be the difference between the amount payable and the down payment:
Outstanding balance = Amount payable - Down payment
Outstanding balance = $5,175 - $675
Outstanding balance = $4,500
Hire purchase price:
The hire purchase price would be the sum of the down payment and the outstanding balance:
Hire purchase price = Down payment + Outstanding balance
Hire purchase price = $675 + $4,500
Hire purchase price = $5,175
Interest:
The interest charged on the hire purchase would be the difference between the hire purchase price and the cash price:
Interest = Hire purchase price - Cash price
Interest = $5,175 - $4,050
Interest = $1,125
Difference between the hire purchase and the cash price:
The difference between the hire purchase price and the cash price would be the interest charged:
Difference = Interest
Difference = $1,125
Percentage interest charged:
To calculate the percentage interest charged, we can divide the interest by the hire purchase price and multiply by 100:
Percentage interest charged = (Interest / Hire purchase price) * 100
Percentage interest charged = ($1,125 / $5,175) * 100
Percentage interest charged = 21.74%
Therefore, the cash price to the buyer is $4,050, the amount payable is $5,175, the outstanding balance is $4,500, the hire purchase price is $5,175, the interest charged is $1,125, the difference between the hire purchase and the cash price is $1,125, and the percentage interest charged is 21.74%.
Help please I need it DONT scam
Which coordinate grid shows points and plotted at (4.3)
Answer:
B
Step-by-step explanation:
(x-coordinate, y-coordinate) and the horizontal axis refers to the x-axis and the vertical axis refers to the y-axis.
I am struggling to find domain and range please help thank you
Answer:
Domain: 0, 1, 2, 3, 4,
Range: 1, 2, 3, 4, 5,
Step-by-step explanation:
Based on the graph the domain of the function is 0, 1, 2, 3, 4, and the range is 1, 2, 3, 4, 5, therefore, the answer is:
Order the numbers from least to greatest based on their absolute values.
|23|, |−37|, |−6|, |18|, |−24|, |2|
Answer:
/-37/, /-24/, /-6/, /2/, /18/, /23/
For this exercise assume that all matrices are ntimesn. Each part of this exercise is an implication of the form "If "statement 1", then "statement 2"." Mark an implication as True if the truth of "statement 2" always follows whenever "statement 1" happens to be true. An implication is False if there is an instance in which "statement 2" is false but "statement 1" is true. Complete parts (a) through (e). Justify each answer.
a. If there is an ntimesn matrix D such that AD equalsI, then there is also an ntimesn matrix C such that CA equalsI. Choose the correct answer below.
A. False; by the Invertible Matrix Theorem if the equation Ax 0 has only the trivial solution, then the matrix is not invertible Thus, A cannot be row equivalent to the nxn identity matrix
B. True: by the Invertible Matrix Theorem if equation Ax= 0 has only the trivial solution, then the equation matrix is not invertible. Thus, A cannot be row equivalent to the nxn identity matrix. Ax - b has no solutions for each b in R". Thus, A must also be row equivalent to the n x n identity matrix °
C. True; by the Invertible Matrix Theorem if the equation Ax=0 has only the trivial solution, then the matrix is invertible. Thus, A must also be row equivalent to the n x n identity matrix.
D. False; by the Invertible Matrix Theorem if the equation Ax 0 has only the trivial solution, then the matrix is not invertible; this means the columns of A do not span R". Thus, A must also be row equivalent to the nx n identity matrix
Answer:
C. True; by the Invertible Matrix Theorem if the equation Ax=0 has only the trivial solution, then the matrix is invertible. Thus, A must also be row equivalent to the n x n identity matrix.
Step-by-step explanation:
The Invertible matrix Theorem is a Theorem which gives a list of equivalent conditions for an n X n matrix to have an inverse. For the sake of this question, we would look at only the conditions needed to answer the question.
There is an n×n matrix C such that CA=\(I_n\).There is an n×n matrix D such that AD=\(I_n\).The equation Ax=0 has only the trivial solution x=0.A is row-equivalent to the n×n identity matrix \(I_n\).For each column vector b in \(R^n\), the equation Ax=b has a unique solution.The columns of A span \(R^n\).Therefore the statement:
If there is an n X n matrix D such that AD=I, then there is also an n X n matrix C such that CA = I is true by the conditions for invertibility of matrix:
The equation Ax=0 has only the trivial solution x=0.A is row-equivalent to the n×n identity matrix \(I_n\).The correct option is C.
Decrease 520 by 15% what Is the answer?
Answer:
442
Step-by-step explanation:
If you want to decrease 520 by 15%, you have to multiply 15% by 520 first, which is 78. Next, you have to minus 78 from 520. Now you get 442!
The number is 442 which is obtained after decreasing 520 by 15% the answer is 442.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
Let x be the number that is obtained after decreasing 520 by 15%
= (100 - 15)% of 520
= 85% of 520
= 0.85×520
= 442
Thus, the number is 442 which is obtained after decreasing 520 by 15% the answer is 442.
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Solve.
4 There are 42 tubes of oil paint on trays. Each tray
holds 6 tubes. How many trays of tubes are there?
Show your work.
7
Answer: 7
Step-by-step explanation:
Since there are 42 tubes and each tray can hold 6 tubes, it will be 42/6 which is 7.
Graph that line with slope -1 passing through the point (-2,4)
Answer:
To graph the line with slope -1 passing through the point (-2,4), we can use the point-slope form of the equation of a line, which is:
y - y1 = m(x - x1)where m is the slope of the line, and (x1, y1) is the given point on the line. Substituting the given values, we get:
y - 4 = -1(x - (-2))Simplifying this equation, we get:
y - 4 = -x - 2y = -x + 2Now we can graph this line by plotting the given point (-2,4), and then using the slope of -1 to find one or more additional points on the line. We can do this by starting at the given point and then moving one unit down (since the slope is negative) and one unit to the right (since the slope is -1). This gives us the point (-1,3). We can then connect these two points to graph the line.
GRAPHICAL REPRESENTATION:|
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I’ll mark you as brainliest
Step-by-step explanation:
1) 6s^2
(s mean the length of each side, s=7)
= 6x7^2
= 294
2) 2(3)(2)+2(1)(2)+2(3)(1)
(l=length, w=wide, h=height)
= 12+4+6
= 22
3) 4(π)12^2
(r=radius)
= 576
A pizza parlor charges $9.25 for a large pizza, plus $0.80 for each additional topping. Which equation correctly reflects the relationship between the number of toppings and the total cost of a large pizza?
y = 9.25x + 80
y = 80x + 9.25
y = 9.25x + 0.8
y = 0.8x + 9.25
Answer:
c because you dont need the extra zero on the 8
1. A. What is the formula for the Pythagorean Theorem? (1 point)
B. Find the missing leg of the triangle using the Pythagorean Theorem. Remember that drawings may not be to scale (Round to the nearest tenth).
Show your work. (4 points)
20 ft
18 ft
x
Answer:
side 1^2 + side 2 ^2 = hypotenuse ^ 2
18^2 + 20^2 = hypotenuse^2
324 + 400 = 724
hypotenuse^2 = 724
hypotenuse = 26.9072480941474
hypotenuse = 26.9
Step-by-step explanation:
Think About the Process You have 30 quarters. You find 20% more quarters in your room. Then you go shopping and spend 50% of the total number of quarters. Write an expression to represent the total number of quarters you take with you shopping. Calculate, in dollars, the amount of money you have left.
Answer: $4.5 left.
Step-by-step explanation:
You have 30 quarters, and find 20% more. To convert percentages to decimals for calculations, simply move the decimal two spaces to the left.
20% is 20. ---> 2.0 ---> .20
30 * 0.2 = 6. Now add 6 (found) to 30 (original) to get the total.
30+6 = 36 total quarters.
You spend 50% of the quarters, 36 * 0.5 = 18.
This means you have 18 quarters left (or you spent 18).
18 quarters, each quarter is worth 0.25 dollars, so multiply the number left by how much each is worth.
18 * 0.25 = $4.5.
$4.50 is the amount left
The graph shows the distribution of the number of text messages young adults send per day.
A graph titled daily text messaging has number of text on the x-axis, going from 8 to 248 in increments of 30. Data is distributed normally. The highest point of the curve is at 128.
Which statement describes the distribution?
A) The distribution is approximately Normal, with a mean of 128 messages and a standard deviation of 98 messages.
B) The distribution is approximately Normal, with a mean of 128 messages and a standard deviation of 30 messages.
C) The distribution is approximately Normal, with a mean of 30 messages and a standard deviation of 128 messages.
D) The distribution is uniform, with a mean of 128 messages and a standard deviation of 30 messages.
The statement that describes the distribution based on the given information is:
A) The distribution is approximately Normal, with a mean of 128 messages and a standard deviation of 98 messages.
The statement that describes the distribution based on the given informationThe graph shows a normal distribution, as indicated by the shape of the curve. The highest point of the curve (the peak) is at 128, which represents the mean of the distribution.
The standard deviation measures the spread of the data, and based on the information given, it is 98. Therefore, option A accurately describes the distribution.
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Intel estimates that about 12 quintillion transistors are shipped around the globe each year. If that represents 10,000 times the number of ants on the planet, find the number of ants on Earth. (Show all your workings. Final answer MUST standard notation.)
Answer:
Number on ants on Earth = 1.2 × 10¹⁵
Step-by-step explanation:
1 quintillion = 10¹⁸ or (1000000000000000000)
∴ 12 quintillion = 12 × 10¹⁸
12 quintillion = 10,000 × Number of ants on Earth
Let the number of ants on Earth = n
12 quintillion = 10,000 × n
dividing both sides by 10,000
12 quintillion ÷ 10,000 = n
\(n = \frac{12\ \times\ 10^{18} }{10,000} \\n = \frac{12\ \times\ 10^{18} }{10^{4}}\\n = 12\ \times\ \frac{10^{18}}{10^{4}} \\applying\ the\ second\ law\ of\ indices\ (\frac{x^m}{x^n} = x ^{m-n})\\ n = 12\ \times\ 10^{(18 - 4)\\n = 12\ \times 10^{14}\\in\ standard\ form\\n = 1.2\ \times 10\ \times\ 10^{14}\\\therefore n = 1.2\ \times\ 10^{15}\)
Number on ants on Earth = 1.2 × 10¹⁵
Rewrite 1/4 / 1/3 as a unit rate
Answer:
0.25 and 0.33?
Step-by-step explanation:
which statement best describes the roots of f(x)=x^2-6x+25?
Answer:
permiteme veré en álgebra baldor
The roots of the equation f(x) = x² - 6x + 25 will be 3 - 4i and 3 + 4i.
What are the roots of the equation?Let the equation be ax² + bx + c = 0. Then the roots of the equation will be
\(\rm x = \dfrac{-b \pm \sqrt{b^2 - 4 a c }}{2a}\)
The quadratic equation is given below.
f(x) = x² - 6x + 25
Compare both the equations, then the value of a, b, and c will be 1, -6, and 25, respectively.
Then the roots of the equation are given as,
\(\rm x = \dfrac{-(-6) \pm \sqrt{(-6)^2 - 4 \times 1 \times 25 }}{2 \times 1}\\x = \dfrac{6 \pm \sqrt{-64}}{2}\)
Simplify the equation further, then we have
x = 3 ± 4i
The roots of the equation f(x) = x² - 6x + 25 will be 3 - 4i and 3 + 4i.
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Explain the mistake made
in the work shown below.
8x + 22 = 2x + 42
10x + 22 = 42
10x = 20
x=2
Answer:
The added both 8x+2x when they were suppose to subtract 8x-2x
Step-by-step explanation:
8x+22= 2x+42
6x= 42-22
6x= 20
x= 3.3 repeating
Answer:
step 2
Step-by-step explanation:
8x + 22 = 2x +42
8x - 2x +22 =42
6x + 22 = 42
6x = 42 -22
6x = 20
x = 20÷ 6
x = 10/3
What is the slope of the line that passes through the points (-2,8) and (-22,8)? Write your answer in simplest from
Answer:
\(\boxed{\tt m=0}\)
Step-by-step explanation:
The slope formula is:
\(m=\frac{y_{2} -y_{1}}{x_{2}-x_{1}}\)
where (x₁, y₁) and (x₂,y₂) are the points on the line.
The points given are (-2,8) and (-22,8). Therefore,
\(x_{1}=-2\\y_{1}=8\\x_2=-22\\y_2=8\)
Substitute the values into the formula.
\(m=\frac{8-8}{-22--2}\)
Solve the numerator. Subtract 8 from 8.
\(m=\frac{0}{-22+2}\)
Zero divided by any number is zero, so we automatically know the slope is zero.
\(m=0\)
The slope of the line is 0
Answer: 0
Step-by-step explanation:
To find the slope, you need to use the formula \(m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\). You use the given points to plug in and solve.
\(m=\frac{8-8}{-22-(-2)} =\frac{0}{-20}=0\)
Now, we know that the slope is 0 meaning this is a horizontal line.
3. Complete the statement: When a whole number greater than 1 has a
negative integer exponent, the value of the expression is greater than what
but less than what
When a whole number greater than 1 has a negative integer exponent, the value of the expression is greater than zero but less than one.
How to deal with a negative exponent?The standard format of an exponential expression is given as follows:
\(a^b\)
In which:
a is the base.b is the exponent.When we have a negative exponent, the equivalent expression with a positive exponent is obtained inverting the base.
If we have a positive base greater than one to a negative exponent, we invert the base, meaning that it is less than one with a positive exponent, hence the value of the expression is greater than zero but less than one.
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Which equation best shows that 48 is a multiple of 3?
Choose 1 answer:
A
B
C
144= 3 x 48
3 = 48 ÷ 16
52 = 48 + 3
D3=48-45
What is the name of these lines?
Answer:
perpendicular lines
Step-by-step explanation:
help!!!
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
Determine each segment length in right triangle ABC
The segment lengths are given as follows:
BD = 7.BC = \(7\sqrt{2}\)What is the Pythagorean Theorem?The Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.
The theorem is expressed as follows:
c² = a² + b².
In which:
c is the length of the hypotenuse.a and b are the lengths of the other two sides (the legs) of the right-angled triangle.Considering the geometric mean theorem, the triangle has bases of 7 and 14 - 7 = 7, hence the altitude BD is given as follows:
BD² = 7 x 7
BD² = 7²
BD = 7.
The segment BC is the hypotenuse of a right triangle of two sides with length 7, hence:
(BC)² = 7² + 7²
\(BC = \sqrt{2 \times 49}\)
\(BC = 7\sqrt{2}\)
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