Answers
Answer: (4,1)
Step-by-step explanation:
For system of equations, the solution is the intersection point. The intersection point is where the 2 equations meet on the graph, therefore, it is a solution. It is a common point between the 2 graphs.
Now, that we know what the solution is, we can look on the graph for the solution. You can see that at (4,1), the 2 graphs cross. Therefore, (4,1) is the solution.
Related Questions
The two dot plots below show the heights of some sixth graders and some seventh graders:
Two dot plots are shown one below the other. The title for the top dot plot is Sixth Graders and the title for the bottom plot is Seventh Graders. Below the line for each dot plot is written Height followed by inches in parentheses. There are markings from 52 to 57 on the top line and the bottom line at intervals of one. For the top line there are 2 dots above the first mark, 1 dot above the second mark, 1 dot above the third mark and 2 dots above the fourth mark. For the bottom line, there is 1 dot for the first mark, there are 3 dots above the second mark, 2 dots above the third mark.
The mean absolute deviation (MAD) for the first set of data is 1.2 and the MAD for the second set of data is 0.6. Approximately how many times the variability in the heights of the seventh graders is the variability in the heights of the sixth graders? (Round all values to the tenths place.)
0.3
1.2
1.7
2.0
Answers
Answer: 2.0 (choice D)
Reason:
We divide the two mean absolute deviation (MAD) values to get (1.2)/(0.6) = 2.0
The variability in the first set (the 6th graders) is exactly twice that of the variability of the second set (the 7th graders).
The MAD is one measure of variability or spread. Another would be the standard deviation. The larger the value, the more spread out the data points will be.
Convierte los números decimales a fracciones decimales, comunes o números mixtos, según sea el caso
Answers
how many cans of paint are needed to cover 2200 square units?
Answers
The paint cans and the spaces serve as examples of equivalent ratios. 5.5 cans of paint will be required to cover 2200 sq. unit.
Two ratios that have the same values are said to be equivalent. The same number can be used to multiply or divide both sums to get an equivalent ratio. The method is the same as determining equivalent fractions. When two or more ratios are reduced to their most basic form, they have the same value. Examples of equivalent ratios are 1:2, 2:4, and 4:8. In their most basic form, all three ratios have the same value, which is 1:2. They are in proportion if two ratios are equal. Equations in algebra are said to be equivalent if their solutions or roots are equal. When the same amount or expression is added to or removed from both sides of an equation, the result is the same.
To paint a 2200 square unit space, 5.5 cans are required.
The given parameter is:
Cans: Area\(=1:400\)
Express as fraction
Cans/Area\(=1/400\)
Multiply both sides by Area
Cans\(=\frac{1}{400}*Area\)
When the area is 2200, we have:
Cans\(=\frac{1}{400}*2200\)
Cans\(=5.5\)
5.5 cans are therefore required to paint a 2200 units square space.
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Which of the following differential equation(s) is/are linear? (Choose all that apply.) 1 2xy" - 5xy' + y = sin(3x) (v)² + xy =In(x) □y' + sin(y)=e3x (x²+1)y"-3y - 2x³y=-x-9 (+1)y'+xy=y"
Answers
To determine which differential equation(s) are linear, we need to examine the form of each equation. A linear differential equation is one that can be written in the form a(x)y" + b(x)y' + c(x)y = g(x), where a(x), b(x), c(x), and g(x) are functions of x.
The differential equation 2xy" - 5xy' + y = sin(3x) is linear. It can be written in the form a(x)y" + b(x)y' + c(x)y = g(x), where a(x) = 2x, b(x) = -5x, c(x) = 1, and g(x) = sin(3x).
The differential equation (v)² + xy = In(x) is not linear. It does not follow the form a(x)y" + b(x)y' + c(x)y = g(x) because it contains a term with (v)², where v represents the derivative of y with respect to x. This term does not have a linear coefficient.
The differential equation y' + sin(y) = e^(3x) is linear. It can be written in the form a(x)y' + b(x)y = g(x), where a(x) = 1, b(x) = sin(y), and g(x) = e^(3x).
The differential equation (x²+1)y" - 3y - 2x³y = -x - 9 is not linear. It does not follow the form a(x)y" + b(x)y' + c(x)y = g(x) because it contains a term with (x²+1)y", where the coefficient is a function of x.
The differential equation y' + xy = y" is linear. It can be written in the form a(x)y' + b(x)y = g(x), where a(x) = 1, b(x) = x, and g(x) = y".
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let θ be an angle in quadrant iv such that =sinθ−47. find the exact values of secθ and tanθ.
Answers
Let us solve the problem step by step:
Firstly, we can use the following formula in order to solve the problem:
sinθ = -sqrt(1 - cos²θ) where sinθ = 7/47.
Substituting in the above equation we get:
7/47 = -sqrt(1 - cos²θ)
Squaring both the sides of the equation, we get:
cos²θ = 1 - (7/47)²
Therefore, cos²θ = 2208/2209
As the angle is in the fourth quadrant, cosθ will be negative.
Therefore, we take the negative root.
cosθ = -sqrt(2208/2209)
= -48/47
Now, using the formula for secθ we get:
secθ = 1/cosθ
= -47/48
Lastly, using the formula for tanθ we get:
tanθ = sinθ/cosθ
= (7/47)/(-48/47)
= -7/48
In this problem, we are required to find the exact values of secθ and tanθ for an angle θ in the fourth quadrant given that sinθ = 7/47.
We start solving the problem by using the formula:
sinθ = -sqrt(1 - cos²θ).
By substituting the value sinθ = 7/47 in this formula, we get:
7/47 = -sqrt(1 - cos²θ).
On squaring both sides of the equation we get:
cos²θ = 1 - (7/47)²
= 2208/2209.
Hence, the exact values of secθ and tanθ are -47/48 and -7/48 respectively.
Thus, the exact values of secθ and tanθ for the given angle θ in the fourth quadrant are -47/48 and -7/48 respectively.
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Madeline Rollins is trying to decide whether she can afford a loan she needs in order to go to chiropractic school. Right now, Madeline is living at home and works in a shoe store, earning a gross income of $1,260 per month. Her employer deducts a total of $320 for taxes from her monthly pay. Madeline also pays $190 on several credit card debts each month. The loan she needs for chiropractic school will cost an additional $290 per month.
Calculate her debt payments-to-income ratio with and without the college loan. (Remember the 20 percent rule. ) (Enter your answers as a percent rounded to 2 decimal places. )
With college loan: __%
Without college loan: __%
Answers
Madeline should not ask for the loan
1. With college loan:
DTI = 43.9%
2. Without the college loan
DTI = 29.3%
Calculate the DTI for both scenaries, with and without the college loan.
DTI = (monthly debt payments) / (gross monthly income) × 100
With college loan W/O college loan
Monthly debt payments($)
Taxes 145 145
Credit card 90 95
College loan 120 0
Sub-total 360 240
Montly gross income ($) 820 820
1. With college loan:
DTI = (360/820)×100 = 43.9%
2. Without the college loan
DTI = (240/820)×100 = 29.3%
There are several rules to assess if a DTI is good or not.
Some of those rules include that:
A DTI without a mortgage should be below 28%, thus 29.3% is slightly over the limit.
A DTI with a mortgage should be below 43%, thus 43.9% is slightly over the lilmit.
The 20% rule states that the debt without a mortgage should be no more than 20 percent of the annual income after taxes.
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which of the following is the best way of selecting a random sample
Answers
Answer:
I believe its c because a b and d are far off
Step-by-step explanation:
what is the derivative of arcsin(x/3)
Answers
The derivative of arcsin(x/3) is\((3/sqrt(1-(x/3)^2))\). This can be derived by using the chain rule on arcsin(x/3) and simplifying.
The derivative of arcsin(x/3) can be derived by using the chain rule.
The chain rule states that the derivative of a function f composed with another function g is the derivative of f multiplied by the derivative of g.
Therefore, the derivative of arcsin(x/3) is
\(d/dx arcsin(x/3) = d/dx (x/3) * (1/cos(x/3))\)
Simplifying this expression, we get
\(d/dx arcsin(x/3) = (3/cos(x/3)) * (1/cos(x/3))\)
Which simplifies to
\(d/dx arcsin(x/3) = (3/cos^2(x/3))\)
Using the identity \(1/cos^2(x) = 1 + tan^2(x)\), we can rewrite this expression as
\(d/dx arcsin(x/3) = 3/sqrt(1-(x/3)^2)\)
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The base of an isoceles triangle is 7cm longer than each of the legs. Find the legs if the perimeter of the triangle is 43cm
Answers
Answer:
1 leg = 12 inches
Step-by-step explanation:
We can use the equation:
43 = 2x + (7 + x)
To represent the perimeter of the isosceles triangle. We can simplify the problem by adding the variables on the right side.
43 = 3x + 7
Next, we can subtract 7 from both sides to isolate the variable.
3x = 36
Since we know that 36 is divisible by 3, we can divide both sides by 3:
3x/3 = 36/3
x = 12
Our final answer is x = 12 inches. So, the length of one leg is 12 inches.
Marcus looked at the clock shown above and said, 1/4 of an hour has passed. Sierra said 3/12 of an hour has passed. Ali said 15/60 of an hour has passed. Their teacher said that they were all correct.
Answers
Since Marcus looked at the clock shown above and said, 1/4 of an hour has passed. Sierra said 3/12 of an hour has passed. Ali said 15/60 of an hour has passed. They're equivalent and the teacher is right that they're all correct.
How to illustrate the information?It should be noted that from the information, Marcus looked at the clock shown above and said, 1/4 of an hour has passed. Sierra said 3/12 of an hour has passed. Ali said 15/60 of an hour has passed.
In this case, their teacher said that they were all correct.
This means that:
1/4 = 3/12 = 15/60
It should be noted that they are all equivalent fractions. This implies that they are equal.
Therefore, the teacher is correct.
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Can two different square have equal area?
Answers
Answer:
The given statement is true. Reason: Area of a square = side × side Therefore, two squares that have the same area will have sides of the same lengths.
hop this helps
mark me brainliest
Step-by-step explanation:
Express the terms of the following sequence by giving a recursive formula.
10, 20, 30, 40, . .
Answers
\(a_n = a_{(n-1)} + 10, \\\) is the recursive formula for the given sequence.
The given sequence is an arithmetic sequence with a common difference of 10. To express the terms of the sequence using a recursive formula, we can use the general form for an arithmetic sequence:
\(a_n = a_{(n-1)} + d\)
where:
\(a_n\) represents the nth term of the sequence,
\(a_{(n-1)\) represents the (n-1)th term of the sequence,
d represents the common difference.
In this case, the first term a_1 is 10, and the common difference d is 10. Using the formula, we can express the terms of the sequence as follows:
\(a_1 = 10\\\\a_n = a_{(n-1)} + 10\)
Therefore, the recursive formula for the given sequence is:
\(a_1 = 10\\\\a_n = a_{(n-1)} + 10, f o r\ n \geq 2\)
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graphically represent
The cuadratic relation
Answers
boberson is after then my mom
Solve for a positive value of x. log9 (x) = 3
Answers
The sum of ages of Paula and her mother is 48. Her mother is 12 years more than twice as old as Paula. Use a linear system to determine the ages of Paula and her mother.
Answers
Answer:
72
Step-by-step explanation:
12 times 6 is 72
48 + 24 =72
PLEASE HELP ME WITH THIS I FINSIH MY QUARTER TONIGHT FOR SCHOOL AND I NEED TO GET THIS DONE!! Austin and his children went to the grocerie store and bought 14$ worth of apples and peaches. Each Apple costs 1$ and each peach cost 2$ he bought a total of 9 apples and peaches all together. Graphically solve a system of equations to determine the number of x, apples and y, peaches
Answers
Answer:
\(1a+2p=14\\a+p=9\\\\a=4\\p=5\)
Step-by-step explanation:
\(1a+2p=14\\a+p=9\\\\a+p=9\\a=9-p\\\\1(9-p)+2p=14\\9-p+2p=14\\9+p=14\\p=5\\\\a=9-(5)\\a=4\)
Graphing:
Slope intercept form y=mx+b
a is y, p is x
y=-2x+14
y=-x+9
Intercept at (5,4)
Write the equation to find the nth term in the arithmetic sequence. First term:-10 and common difference:2
Step by step
Answers
Answer:
2n - 12
Step-by-step explanation:
The nth term of an arithmetic progression is expressed as;
Tn = a+(n-1)d
a is the first term = -10
n is the number of terms
d is the common difference = 2
Substitute
Tn = -10 + (n-1)2
Tn = -10 + 2n-2
Tn = 2n -10-2
Tn = 2n - 12
Hence the nth term of the sequence is 2n - 12
A bicycle rental company charges a $12 fee plus $3 per hour. Which equation represents this linear relationship
Answers
Answer:
y =3x + 12
Step-by-step explanation:
Given a PUSH sequence and a POP sequence. Which of the following statements is not true? (A) PUSH 123 ; POP 123 ; It must be a Queue (B) PUSH 123 ; POP 321 ; It must be a Stack (C) PUSH 1; POP 1; It must be a Queue (D) PUSH 123 ; POP 23 1; It is neither Stack nor Queue
Answers
Given a PUSH sequence and a POP sequence. The following statement that is not true is (D) PUSH 123; POP 23 1; it is neither a Stack nor Queue.
A stack is an abstract data type, which is made up of a collection of elements that are organized in a sequence manner. The insertion and deletion operations take place at the same end called the top end. The last item inserted in the stack will be the first item to be deleted, and the first item inserted in the stack will be the last item to be deleted.
A queue is also an abstract data type that has a collection of elements that are arranged in a sequence. The insertion of new elements in the queue takes place at the rear end, while the deletion of existing elements from the queue takes place at the front end. The first item inserted in the queue will be the first item to be deleted. And the last item inserted in the queue will be the last item to be deleted.
Analysis of the options: The sequence of PUSH and POP operation in the option (A) PUSH 123; POP 123 is in order. Hence it is a Queue. The sequence of PUSH and POP operation in the option (B) PUSH 123; POP 321 is in reverse order. Hence it is a Stack. The sequence of PUSH and POP operation in the option (C) PUSH 1; POP 1 is in order. Hence it is a Queue. The sequence of PUSH and POP operation in the option (D) PUSH 123; POP 23 1 is not in order, thus not a Stack nor a Queue. Therefore, the answer is (D) PUSH 123; POP 23 1; it is neither a Stack nor Queue.
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can pls help meeeeeeeeee
Answers
Answer:
The equation has no solution
Step-by-step explanation:
\({ \tt{a + 5(2a - 1) + 3 = 11a - 2}} \\ { \tt{a + 10a - 5 + 3 = 11a - 2}} \\ { \tt{11a - 2 = 11a - 2}} \\ { \tt{11a - 11a = - 2 + 2}} \\ { \red{ \tt{0 = 0}}}\)
Answer:
D, or Infinite Solutions
Step-by-step explanation:
We have the equation a + 5(2a - 1) + 3 = 11a - 2
Solve the equation and see if there's a solution or not.
a + 5(2a) - 5(1) + 3 = 11a - 2
a + 10a - 5 + 3 = 11a - 2
11a - 2 = 11a - 2
Since both equations are the same, then any value of a will satisfy the equation, making it have infinite solutions. Hope this helps.
use what you know about factor pair to complete the table
Answers
Answer:
See below
Step-by-step explanation:
\(1\cdot24=2\cdot12=3\cdot8=4\cdot6=24\)
Answer:
1. 24
2. 12
3. 8
4. 6
Step-by-step explanation:
2 x 12 = 24, 3 x 8 = 24, 4 x 6 = 24
Solve system of equation using elimination by addition.
Will give brainliest!!
Answers
Answer:
x = 6
Step-by-step explanation:
Add the system of equations together:
2x - 3y = 12
4x + 3y = 24
you get
6x = 36
divide by the coefficient
6x/6 = 1
36/6 = 6
x = 6
Not sure if you need the y, but if so, let me know!
Hope this helps!
Find the value of x in the Diagram Below.
Answers
Step-By-Step: 180 - 100 = 80
Step-By-Step: 80 - 12 = 68
Step-By-Step: 68 is angle ( X + 12)
68 + 12 = 80 + 100 equals 180
What does it mean for an event to be unusual? why should the cutoff for identifying unusual events not always be 0. 05?.
Answers
An unusual event is an occurrence that has a low probability of happening. The cutoff for identifying unusual events not always be 0.05, because it is not always a good idea to utilize the same cutoff to spot unexpected occurrences.
What is an unusual event?An unusual event is an occurrence that has a low probability of happening.
If an event is improbable, its likelihood is zero. If an occurrence is unavoidable, its probability is one.
The probability of an event happening increases as it gets closer to 1. An occurrence that has a probability of 0.375, for instance, is more likely to happen than one with a probability of 0.125.
The less likely an event is to occur, the closer the probability is to 0. An unusual event is what this kind of event falls under. A probability of 5%, or 0.05, is typically regarded as unusual event.
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go answer my last q please and if u answer this q just for the points i will report u
Answers
Answer:
ok i will go on you last q
Step-by-step explanation:
Calculate the simple interest on $8,500 at an 8% interest rate for 6 months.
Answers
The simple interest formula is
\(I=P\cdot r\cdot t\)Where P is the principal, r is the interest rate and t is time in years.
Replacing the given information, we have
\(I=8,500\cdot0.08\cdot\frac{6}{12}=340\)Therefore, the simple interest would be $340.What is the MAD for these numbers? 5 22 14 13 18 7 9 12
Answers
Answer:
4.25
Step-by-step explanation:
what is equivialent to 8\11
Answers
Answer:
16/22, 24/33, and 40/55
or
72.7272...% = Percentage form
0.7272... = Decimal form
Hope this helps :)
Pls brainliest...
need help asap will give brainliest. which is a Positively skewed distribution?
Answers
Answer:
The answer is D
Step-by-step explanation:
The answer is D because. . .
- A has no skewed distribution.
- B has even distribution like the left and the right tail have the same difference of 2, on both sides/tails.
Ex: 6-4 = 2, 16-14= 2
-C is a negatively skewed distribution because it comes from the left to right, and the left tail is longer than the right.
- D is a positively skewed distribution because the right tail is longer than the left tail.
Option D is a positively skewed distribution.
How to identify skewed graph?A skewed distribution is a distribution having bias on one of the two sides (either left or right).
It is like leaning mountain on one side (left or right).
A left skewed graph have elongated tail on the left side of the main mountain like figure. The mountain like figure is after that elongated tail. It is also called negatively skewed graph.
This graph usually has mean < median < mode.
A right skewed graph has elongated tail on the right side of the main mountain like figure. The mountain like figure is before that elongated tail. It is also called positively skewed graph. This graph usually has:
Mode < median < mean.
Option A has no skewed distribution.
Option B has even distribution like the left and the right tail have the same difference of 2, on both sides/tails.
Ex: 6-4 = 2, 16-14= 2
Option C is a negatively skewed distribution because it comes from the left to right, and the left tail is longer than the right.
Option D is a positively skewed distribution because the right tail is longer than the left tail.
Hence, Option D is a positively skewed distribution.
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Find the unknown angle in each case.
Answers
For the other one it is 100
If you are looking for z then z is 55