Answer:
(1,-4)
Step-by-step explanation:
First manipulate the second equation so that y is by itself
x-y=5
-y=-x+5
y=x-5
then substitute that y in for the y in the above equation and solve for y
y=-2x-2
x-5=-2x-2
3x-5=-2
3x=3
x=1
Now that you have the x-coordinate, find the y-coordinate by plugging in the x-value in either of the equations
y=-2x-2
y=-2(1)-2
y=-2-2
y=-4
I see that you're using deltamath, and I think for the graph questions, you could first place a point for the y-intercept of one of the equations, and then place another point that is on the graph of the equation. Once you plotted both lines, just see the point where they meet and that is where the two systems of equations meet.
Convert 1 4/9 to an improper fraction
Answer:
13/9
Step-by-step explanation:
The mixed fraction is,
→ 1 4/9
Converting into improper fraction,
→ 1 4/9
→ ((9 × 1) + 4)/9
→ (9 + 4)/9
→ 13/9
Hence, the fraction is 13/9.
The required conversion of mixed number 1 4/9 to an improper fraction is 13/9.
What is the fraction?A fraction is defined as a numerical representation of a part of a whole that represents a rational number.
A mixed number is made up of a whole number and a fractional portion. An improper fraction is one in which the numerator (upper number) exceeds the denominator (bottom number). Without modifying the value of the figure, you may convert between mixed numbers and improper fractions.
As per the question, we have to convert 1 4/9 to an improper fraction
Multiply the denominator by the whole number
⇒ 9 × 1 = 9
Add the answer from Step 1 to the numerator
⇒ 9 + 4 = 13
Write the answer from Step 2 over the denominator
13/9
Thus, we can write 1 4/9 to an improper fraction as 13/9.
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The scores earned in a flower-growing competition are represented in the stem-and-leaf plot.
1 7, 9
2 1, 5, 9
3 0, 1, 2
4 6, 9
Key: 2|1 means 21
What is the appropriate measure of variability for the data shown, and what is its value?
The IQR is the best measure of variability, and it equals 32.
The range is the best measure of variability, and it equals 11.
The IQR is the best measure of variability, and it equals 11.
The range is the best measure of variability, and it equals 32.
The correct statement is: "The IQR is the best measure of variability, and it equals 11."
How to solve the problemTo calculate the IQR, we first need to find the first quartile (Q1) and the third quartile (Q3). Here is the data in ascending order:
17, 19, 21, 25, 29, 30, 31, 32, 46, 49
The median (or Q2) divides the dataset into two halves. Since there are 10 data points, the median is the average of the 5th and 6th data points:
(29 + 30) / 2 = 29.5
Now, we find Q1, which is the median of the lower half of the data:
17, 19, 21, 25, 29
Q1 = 21 (the middle value)
Next, we find Q3, which is the median of the upper half of the data:
30, 31, 32, 46, 49
Q3 = 32 (the middle value)
Finally, we calculate the IQR:
IQR = Q3 - Q1 = 32 - 21 = 11
Therefore, the correct statement is: "The IQR is the best measure of variability, and it equals 11."
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-12 divided by 3 5/9
your answer is 3.375
Will give brainliest
Answer:b
Step-by-step explanation:
Answer:
b -2/3
Step-by-step explanation:
rise/run
you find two points that intersect a line then do rise over run the slope is negative
find the value of x and the measure of angle axc
Answer:
x = 4
m<AXC = 150
Step-by-step explanation:
m<1 + m<2 = m<AXC
102 + 10x + 8 = 6(6x + 1)
10x + 110 = 36x + 6
26x = 104
x = 4
m<AXC = 6(6x + 1)
m<AXC = 6(24 + 1)
m<AXC = 150
Fabiana is making a sandbox for her children. She has made a wooden frame for her backyard that is 4 feet long, 4 feet wide, and 2 feet deep. She can purchase sand for the sandbox for $20 per cubic meter. How much will it cost Fabiana to purchase sand? (Hint: 1 foot = 0.3048 meters.)
(Round your answer to the nearest dollar.)
Answer:
$195
Step-by-step explanation:
First, we need to know the volume of the box, that way we can know how much sand we need to buy.
l x w x h = v
4 x 4 x 2 = 32
Now we have the volume in feet but we need to convert it into meters.
32 x 0.3048 = 9.7536
Next, we'll multiply the meters by the price so that we'll have the total cost.
9.7536 x 20 = 195.072
For two n by n square matricies A and B,
suppose rankA = rankB = n-1.
Can rank(AB) become less than n-1 ?
(e.g. rank (AB) = n-2)
If so, I humbly ask you for an example.
Thank you very much.
No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.
According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.
If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.
Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.
However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.
Therefore, if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.
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The drama club is selling candles for a fundraiser. They spend $100 on the candles and sell them for $4.50 each. How many candles must they sell to make more than $125 profit?
Let x represent the number of candles sold. Which inequality can you use to find x?
So I try to help
Step-by-step explanation:
I don't no sorrry
Answer:
the first one!!
Step-by-step explanation:
Find the measure of 44.
131
49
49
64 = [?]
Answer:
49
Step-by-step explanation:
alternate angles hope this helps
A computer company employs 400 software engineers and 200 hardware engineers. The personnel manager randomly selects 40 of the software engineers and 20 of the hardware engineers and questions them about career opportunities within the companyDoes this sampling plan result in a random sample? Simple random sample? Explain. Yes, the sample is random sampling
Answer:
The described practice is considered a simple random sampling. This technique consist on randomly choosing a proportion of elements from a population, where every element from the population has the same probability of being chosen. Therefore, yes, this is simple random sampling.
A political candidate has asked his/her assistant to conduct a poll to determine the percentage of people in the community that supports him/her. If the candidate wants a 3% margin of error at a 90% confidence level, what size of sample is needed
Answer:
A sample size of 752 is needed.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which
z is the z-score that has a p-value of \(1 - \frac{\alpha}{2}\).
The margin of error is of:
\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)
90% confidence level
So \(\alpha = 0.1\), z is the value of Z that has a p-value of \(1 - \frac{0.1}{2} = 0.95\), so \(Z = 1.645\).
If the candidate wants a 3% margin of error at a 90% confidence level, what size of sample is needed?
We have no estimate of the proportion, so we use \(\pi = 0.5\).
The sample size is n for which M = 0.03. So
\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)
\(0.03 = 1.645\sqrt{\frac{0.5*0.5}{n}}\)
\(0.03\sqrt{n} = 1.645*0.5\)
\(\sqrt{n} = \frac{1.645*0.5}{0.03}\)
\((\sqrt{n})^2 = (\frac{1.645*0.5}{0.03})^2\)
\(n = 751.67\)
Rounding up:
A sample size of 752 is needed.
Marking as brainliest rn ! Write the congruent statement
Answer:
The trick for this one is watching for the small indicator lines inside the triangles. When two angles have the same number of lines, they are congruent angles. Now that we know that, we just match them up.
1. ΔUVW ≅ Δ CDB
2. ΔTUV ≅ ΔBCD
3. ΔRST ≅ ΔYZX
4. ΔYXW ≅ ΔJKL
5. ΔXWF ≅ ΔXWV
6. ΔHIJ ≅ ΔRJP
By the way, the file is to show you which ones I have as which number.
Step-by-step explanation:
hope this helps. . .<3
good luck! UwU
Answer the questions below to find the total surface area of the can.
Ab=3.14xRadious to the power of 2
then to the area of the rectange you do B x H = YOUR ANSWER
Solve the inequality for x
5 3/2 x 2 1/3
Answer:
A
Step-by-step explanation:
5 - \(\frac{3}{2}\) x ≥ \(\frac{1}{3}\)
multiply through by 6 ( the LCM of 2 and 3 ) to clear the fractions
30 - 9x ≥ 2 ( subtract 30 from both sides )
- 9x ≥ - 28
divide both sides by - 9 , reversing the symbol as a result of dividing by a negative quantity.
x ≤ \(\frac{28}{9}\)
6, 12, 18 and 24 are the first four multiples of 6.
What are the next 2 multiples?
Answer:
30 and 36
Step-by-step explanation:
six times two equals 12
6 * 3 = 18
and six times four equals 24.
to get the next two multiples, You need to multiply 6 by 5, and then 6
6 * 5 = 30 and 6 * 6 = 36
Which linear function has the same y-intercept as the one that is represented by the graph?
On a coordinate plane, a line goes through points (3, 4) and (5, 0).
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 3, negative 1, 1, 3. Column 2 is labeled y with entries negative 4, 2, 8, 14.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 4, negative 2, 2, 4. Column 2 is labeled y with entries negative 26, negative 18, negative 2, 6.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 5, negative 3, 3, 5. Column 2 is labeled y with entries negative 15, negative 11, 1, 5.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 6, negative 4, 4, 6. Column 2 is lab
eled y with entries negative 26, negative 14, 34, 46.
The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.
To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).
First, let's find the slope of the line using the formula:
slope (m) = (change in y) / (change in x)
m = (0 - 4) / (5 - 3)
m = -4 / 2
m = -2
Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:
y - y1 = m(x - x1)
Using the point (3, 4) as our reference point, we have:
y - 4 = -2(x - 3)
Expanding the equation:
y - 4 = -2x + 6
Simplifying:
y = -2x + 10
Now, let's check the given options to find the linear function with the same y-intercept:
Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)
The y-intercept is not the same as the given line. So, this option is not correct.
Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)
The y-intercept is not the same as the given line. So, this option is not correct.
Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)
The y-intercept is the same as the given line (10). So, this option is correct.
Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)
The y-intercept is not the same as the given line. So, this option is not correct.
Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.
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Functions are in the world all around us. You have used functions to model phenomena and to make predictions. Mathematically, you can add, subtract, multiply, and divide functions, and you can also create a composition of functions.
A composition of functions occurs when you evaluate one function using another function, or even with the same function. A composition of functions is useful when a change in one function will create a change in another function, which, in turn, affects a third function. For example, suppose that humans build a housing development on land that was previously used as a corn field. This change in land usage causes the number of birds in the area to decrease, which causes the number of mosquitos to increase. You could model the increase in the number of mosquitoes as a function of the number of birds in the area, which is a function of the number of humans that live on that land.
You can also use the composition of functions to show that one function is the inverse of another function. Recall that the graphs of inverse functions are reflections of each other over the line. Think about these ideas as you read through the scenario below.
Last night it started raining as Hiba was closing up the store where she works. By 3 am, the roof of the store developed a small hole and water began to leak onto the sales floor. The water created a circular puddle on the floor. At any time, t, in minutes, the radius of the puddle increases by 0.1 cm. The rain continued through the night, but stopped by the time the morning shift arrived at the store at 7 am.
When the employees arrived at work, the leak and water puddle were discovered. The employees cleaned up the water puddle and placed a tall circular bucket underneath the leak, which was still slowly dripping. The capacity of the bucket can be expressed as. By 10 am, the amount of water in the bucket is.
Function composition is only one way to combine existing functions. Another way is to carry out the usual algebraic operations on functions, such as addition, subtraction, multiplication and division.
What is composition function ?The procedure known as "function composition" in mathematics takes two functions, f and g, and creates a function, h = g f, such that h(x) = g(f(x)). The combination of two functions to create a third function is known as function composition. Simply using the first function's output as the input for the second function is how it works.The function g is applied in this operation on the outcome of applying the function f to x. In other words, a function that maps x in domain X to g(f(x)) in codomain Z is produced by composing the functions f: X Y and g: Y Z. It makes sense that z would be a function of x if z were a function of y and y was a function of x. The resulting composite function is designated as (g f )(x) = g(f(x)) for all x in X, and is written as g f: X Z. [nb 1]Find the attachment of answer
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logan trades 50 pennies for nickels he gets a nickel for each group of 5 pennies what equation can be used to find how many nickels logan uses
The equation that can be used to find how many nickels logan uses is: 50÷5.
Equation to find the number of nickelsGiven:
Total pennies=50
Logan got a nickel of 5 pennies=1
Hence:
Number of nickels=1÷5×50
Number of nickels=50÷5
Number of nickels=10 nickels
Therefore the equation that can be used to find how many nickels logan uses is: 50÷5.
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When doctors prescribe medicine, they must consider how much the drug’s effectiveness will decrease as time passes. If each hour a drug is only 95% as effective as the previous hour, at some point the patient will not be receiving enough medicine and must be given another dose. If the initial dose was 250 mg, what will the level of the dose be after 3 hours?
Please hurry!
Answer:
ok so this is what we have to do
250*0.95*0.95*0.95
ok so
214.34375
so about 214.3
Hope This Helps!!!
The polynomial 10x3 + 35x2 − 4x − 14 is factored by grouping.
10x3 + 35x2 − 4x − 14
5x2(____) − 2(____)
What is the common factor that is missing from both sets of parentheses?
Answer:
The answer is "\(2x+7\)".
Step-by-step explanation:
In this question, it can measure this using the following step if you'd like to find the missing element in both types of parentheses:
\(\to 10x^3 + 35x^2 - 4x - 14 \\\\\to (5x^2-2) (2x+7)\\\\\to 5x^2 (2x + 7) - 2 (2x + 7)\\\)
So, the correct answer would be (2x + 7).
Find the area of the shaded regions. Give your answer as a completely simplified
exact value in terms of π (no approximations).
The area of the shaded region is 40π/3 square cm if the radius of the small circle r is 3 cm and the radius of the large circle R is 7 cm.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
We have a circle in which the shaded region is shown.
The radius of the small circle r = 3 cm
The radius of the large circle R = 3+4 = 7 cm
The area of the shaded region:
= area of the large circle sector - an area of the small circle sector
= (120/360)[π7²] - (120/360)[π3²]
= 49π/3 - 3π
= 40π/3 square cm or
= 13.34π square cm
Thus, the area of the shaded region is 40π/3 square cm if the radius of the small circle r is 3 cm and the radius of the large circle R is 7 cm.
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-5y-9=-(y-1) equation
a -1/2
b -2 1/2
c -2
d -2/5
A sample of bacteria is decaying according to a half-life model. If the sample begins with 700 bacteria, and after 13 minutes there are 630 bacteria, after how many minutes will there be 20 bacteria remaining?
When solving this problem, round the value of k to four decimal places and round your final answer to the nearest whole number
The number of minutes for 20 bacteria be left is 439minutes. The decay constant is 0.0081
What is exponential function?An exponential function is a mathematical function, which is used in many real-world situations. It is mainly used to find the exponential decay or exponential growth or to compute investments, model populations and so on.
The No of bacteria left at a particular time t is given as N(t)= Noe^-kt
where No= initial number of bacteria
k= decay constant and t = time
after 13 minutes
630= 700e^-13k
divide both sides by 700
630/700= e^-13k
0.9= e^-13k
ln0.9= -13k
k= ln0.9/-13 = -0.1054/-13 = 0.0081
time for 20 bacteria to be left =
20= 700e^-0.0081t
= 20/700=e^-0.0081t
0.0286= e^-0.0081t
ln0.0286= -0.0081t
-3.554= -0.0081t
divide both sides by -0.0081
t= -3.554/-0.0081= 439 minutes ( nearest minutes)
therefore the time for the bacteria to be left is 439minutes
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16 families went on a trip which cost them Rs 2,16,352. How much did each
family pay?
Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522
Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.
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Answer:
Step-by-step explanation
1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.
Now let's check if this result is correct:
1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.
So we have shown that each family paid **Rs 13,522** for the trip
Mr Penelope has 80 colored pencils and 64 markers to divide into containers for his class. He wants each container to have the same number of items. What is the greatest number of containers Mr panilio can make if he wants to each container to have the same number of colored pencils in the same number of markers
For this problem we should find the common greatest factor of 80 and 64, by decomposing them in their prime factors. We have the following:
\(\begin{gathered} \text{Prime factorizations:} \\ 80=2\cdot2\cdot2\cdot2\cdot5 \\ 64=2\cdot2\cdot2\cdot2\cdot2\cdot2 \end{gathered}\)Since 2 is repeated 4 times, we have that the greatest common factor is: 2x2x2x2=4x4=16. Therefore, Mr. Panilio can make 16 containers.
A merchant could sell one model of digital cameras at list price and receive $231 for all of them. If he had four more cameras, he could sell each one for $12 less and still receive $231. Find the list price of each camera.
If x cameras are sold at price c each one, the total earning is $231, so we can write the following equation:
\(x\cdot c=231\)Then, if x+4 cameras are sold at price c-12 each one, the total earning is still $231, so we can write a second equation:
\((x+4)(c-12)=231\)Let's equate the right sides of each equation, since they have the same value:
\(\begin{gathered} x\cdot c=(x+4)(c-12)\\ \\ xc=xc-12x+4c-48\\ \\ -12x+4c-48=0\\ \\ -3x+c=12\\ \\ 3x=c-12\\ \\ x=\frac{c}{3}-4 \end{gathered}\)Now, let's use this value of x in the first equation and solve it for c:
\(\begin{gathered} (\frac{c}{3}-4)c=231\\ \\ \frac{c^2}{3}-4c=231\\ \\ c^2-12c=693\\ \\ c^2-12c-693=0\\ \\ c=\frac{12\pm\sqrt{144+4\cdot693}}{2}\\ \\ c_1=33\\ \\ c_2=-21 \end{gathered}\)Since a negative cost is not valid, the answer is 33.
A dog is chasing a cat towards a tree. The cat has a 10-yard lead and runs at a speed of 6 yards per second. The dog runs at a speed of 8 yards per second. The tree is 30 yards away from the dog’s starting position. Which animal will reach the tree first?
Answer:
The dog will reach the tree first.
Step-by-step explanation:
If the tree is 30 yards from the dog's starting position, and the cat is 10 yards ahead of the dog, then the cat is 20 yards away from the tree. The dog runs at 8 yps, and the cat runs at 6yps. The cat would get there in approximately 3 seconds, and the dog would be ahead of the cat by 3 yards within 2 seconds, so the dog would be there before the cat would.
Please help me lol ......................
Answer:
A
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
simple logic
How do I calculate the standard deviation of a set of samples?
Answer:
Step 1: Calculate the mean of the data—this is xˉx, with, \bar, on top in the formula.
Step 2: Subtract the mean from each data point. ...
Step 3: Square each deviation to make it positive.
Step 4: Add the squared deviations together.
Step-by-step explanation:
can i get brainlyest
Solve the system of linear equations by graphing y = -4x + 2 ; y = -x - 1
What is the solution?
Answer:
Step-by-step explanation:
Easiest way would be to substitute points into the given equations and plot your answers.
E.g. if you substitute points into your first equation you get:
If x = 0, y = -4(0) +2 = 2
If x = 1, y = -4(1) +2 = -2
If x = -1, y = -4(-1) +2 = 6
Etc.
Second equation:
If x = 0, y= -(0) -1 = -1
If x = 1, y = -1 -1 = -2
If x = -1, y = -(-1) -1 = 0
Pretty much just plug in values for x into the equations to find y.
Once you have your points, draw a line :)
Where the two lines intercept would be the solution.