The equations given are x - 5y = 3 and 3x - 2y = -4. To find the solution to this system of equations, we need to find the values of x and y that satisfy both equations simultaneously.
Find the solution to both equations?One way to solve this system of equations is by substitution. We can solve one equation for x or y, and then substitute that expression into the other equation to eliminate one variable. Let's solve the first equation for x:
x - 5y = 3
x = 5y + 3
Now we can substitute this expression for x into the second equation:
3x - 2y = -4
3(5y + 3) - 2y = -4
15y + 9 - 2y = -4
13y = -13
y = -1
We can now substitute this value for y back into either equation to find the value of x:
x - 5y = 3
x - 5(-1) = 3
x + 5 = 3
x = -2
Therefore, the solution to the system of equations x - 5y = 3 and 3x - 2y = -4 is (-2, -1). This is the point where the solid line and dotted line intersect, as shown in the image.
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please help me ! i don’t know how to solve this
Answer:
A. is correct
Step-by-step explanation:
20 + 16 = 36 obviously
The likelihood that sample results will generalize to the population depends on the representativeness of the sample.
The likelihood that sample results will generalize to the population is indeed influenced by the representativeness of the sample. When a sample is representative, it accurately reflects the characteristics of the population it was drawn from. Here's a step-by-step explanation:
1. To ensure representativeness, the sample should be selected in a way that every member of the population has an equal chance of being included. This helps to minimize bias and increase the generalizability of the findings.
2. A representative sample is important because it allows us to make valid inferences about the larger population based on the characteristics observed in the sample. If the sample is not representative, the findings may not accurately reflect the population, leading to biased or misleading conclusions.
3. By having a representative sample, we can have more confidence in the generalizability of our results. This means that the findings from the sample are likely to hold true for the entire population.
4. On the other hand, if the sample is not representative, the findings may only be applicable to the specific sample and cannot be confidently extended to the larger population.
In summary, the representativeness of the sample plays a crucial role in determining the extent to which sample results can be generalized to the population. A representative sample ensures that the findings are more likely to be applicable to the entire population and helps to avoid biased or misleading conclusions.
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Two consecutive odd integers have a sum of 92. What are the two odd integers?
Answer:
45 & 47
Step-by-step explanation:
Forming the equation,
→ x + (x + 2) = 92
→ 2x + 2 = 92
Now the value of x will be,
→ 2x + 2 = 92
→ 2x = 92 - 2
→ x = 90/2
→ [ x = 45 ]
Then the required integers are,
→ x = 45
→ x + 2 = 45 + 2 = 47
Hence, the integers are 45, 47.
A sphere has a Volume of 972 cubic feet. Find the radius of the sphere.
Answer:
6.15
Step-by-step explanation:
Plsss hellppp I give brainliest but earn it
Answer:
3
Step-by-step explanation:
let the no of people who share the meal be x
each member paid $17
total cost of meal=$51
so ur equation is
$17x=$51
x=$51/$17(here $ and $ also gets cancel)
x=3
therefore three menber shared the meal.
Note:when in multiplication when u transfers the number to other side it changes into mltiplication.For example
$17=$51
here $17 is multiplied with x and when we bring $17 to right hand side it divides $51.
Answer:
\(17x = 51 \\ \frac{17x}{17} = \frac{51}{17} \\ x = 3\)
Step-by-step explanation:
The error was that the learner subtracted both sides instead of dividing both sides. The student was supposed to divide both sides by 17 to get the answer.
like terms and distributive propertysimplify each expression by using the distributive property and by combining like terms
Given the expression:
\(\frac{1}{2}(12x-8)-\frac{1}{3}(18x-12)\)using the distributive property we get the following:
\(\begin{gathered} \frac{1}{2}(12x-8)-\frac{1}{3}(18x-12)+ \\ \frac{1}{2}(12x)+\frac{1}{2}(-8)-\frac{1}{3}(18x)-\frac{1}{3}(-12)= \\ 6x-4-6x+4=0 \end{gathered}\)therefore, the simplified expression is 0
For items 16-19, write a polynomial function of nth degree that has the given real or complex zeros?
For n = 3, x = 9, and x = 2i, we can say that one of the factors is (x - 9) as well as (x - 2i).
(x - 2i) is derived from x² = -4 which is equal to (x² + 4). Therefore, the two factors are (x - 9) and (x² + 4). To get the polynomial function, let's multiply the two factors using FOIL Method.
\(\begin{gathered} f(x)=(x-9(x^2+4_{}) \\ f(x)=(x)(x^2)+(x)(4)-(9)(x^2)-(9)(4) \\ f(x)=x^3+4x-9x^2-36 \\ \text{Arrange the terms} \\ f(x)=x^3-9x^2+4x-36 \end{gathered}\)The polynomial function of the first bullet is f(x) = x³ - 9x² + 4x - 36.
For n = 3, x = -1, and x = 4 + i, we can say that the factors are:
(x + 1) , (x - (4 + i)), and (x - (4 - i))
Note: Always remember those complex zeros like x = 4 + i come in conjugate pairs.
To solve the polynomial function, let's multiply the three factors.
\(\begin{gathered} f(x)=(x+1)(x-4-i)(x-4+i) \\ \text{Multiply first the two factors that has imaginary number i.} \\ f(x)=(x+1)(x^2-4x+ix-4x+16-4i-ix+4i-i^2) \\ \text{Arrange the terms} \\ f(x)=(x+1)(x^2-4x-4x+ix-ix-4i+4i+16+1) \\ \text{Combine like terms} \\ f(x)=(x+1)(x^2-8x+17) \\ \text{Multiply binomial to the trinomial} \\ f(x)=(x)(x^2)+(x)(-8x)+(x)(17)+x^2-8x+17 \\ f(x)=x^3-8x^2+17x+x^2-8x+17 \\ f(x)=x^3-7x^2+9x+17 \end{gathered}\)The polynomial function of the second bullet is f(x) = x³ - 7x² + 9x + 17.
find nonzero 2x2 matrices a and b such that ab=0
It is worth noting that there are many other possible choices for a and b that satisfy ab=0. This is because there are many ways to construct matrices with a row or column of zeros, and many ways to choose the nonzero entries in the other positions.
To find nonzero 2x2 matrices a and b such that ab=0, we need to find matrices a and b whose product is the zero matrix. A matrix multiplication is a combination of dot products between rows and columns of the two matrices. In order for the product of two matrices to be zero, one or both of the matrices must have a row of zeros or a column of zeros.
One way to construct such matrices is to set one of the matrices to have a row of zeros and the other to have a column of zeros. Let a be a matrix with a row of zeros and b be a matrix with a column of zeros, but with a nonzero entry in a different position. For example, we could choose:
a = [0 0; 1 0]
b = [0 1; 0 0]
Then, the product ab is:
ab = [0 0; 1 0] * [0 1; 0 0] = [0 0; 0 0]
So, we have found two nonzero 2x2 matrices a and b such that ab=0.
It is worth noting that there are many other possible choices for a and b that satisfy ab=0. This is because there are many ways to construct matrices with a row or column of zeros, and many ways to choose the nonzero entries in the other positions.
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Expand and simplify
4(2x + 3) + 4(3x + 2)
Answer: 20x + 20
Step-by-step explanation:
We will distribute the four into the expressions to expand, then we will simplify.
Given:
4(2x + 3) + 4(3x + 2)
Distribute:
8x + 12 + 12x + 8
Combine like terms with addition:
20x + 20
20x + 20
the inequality 4/5-1/2p>9/5 is givin. solve the inequality for p
Answer:
p < -2
Step-by-step explanation:
Answer:
The answer is -2
Step-by-step explanation:
4/5-1/2p>9/5
C.L.T
-1/2p>9/5-4/5
-1/2p>5/5
-1/2p=1
-p/2>1
-p=2
p= -2
What is the answer for 2(a+b)=
We use the distributive property.
Multiply the outer term 2 by each term inside ('a' and b)
2 times a = 2a
2 times b = 2b
We add those results to get 2a+2b. We cannot combine these terms as they are not like terms.
a hexadecimal number is a number written in the base 16 number system.
t
f
True. Hexadecimal numbers are written using the base 16 number system, where digits range from 0 to 9 and A to F. They are commonly used in computer systems for concise representation and easy conversion to binary.
In the hexadecimal number system, there are 16 symbols used to represent values, namely 0-9 and A-F. Each digit in a hexadecimal number represents a multiple of a power of 16.
The symbols 0-9 represent the values 0-9, respectively. The symbols A-F represent the values 10-15, respectively, where A represents 10, B represents 11, C represents 12, D represents 13, E represents 14, and F represents 15.
For example, the hexadecimal number "3F" represents the value (3 * 16^1) + (15 * 16^0) = 48 + 15 = 63 in decimal.
Similarly, the hexadecimal number "AB8" represents the value (10 * 16^2) + (11 * 16^1) + (8 * 16^0) = 2560 + 176 + 8 = 2744 in decimal.
Hexadecimal numbers are commonly used in computer systems, as they provide a convenient way to represent large binary numbers concisely. Each hexadecimal digit corresponds to a four-bit binary number, allowing for easy conversion between binary and hexadecimal representations.
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What is thee answer to this?
Answer:
160 packages in 4 minutes
Step-by-step explanation:
If this helped please mark brainliest
the mean of the waiting times in an emergency room is 72 minutes with a standard deviation of 15.1 minutes for people who are admitted for additional treatment. the mean waiting time for patients who are discharged after receiving treatment is 61 minutes with a standard deviation of 11.4 minutes. which times are more variable? part: 0 / 20 of 2 parts complete
The waiting time for patients admitted for additional treatment is more variable than the waiting time for patients who are discharged after receiving treatment.
To determine which waiting time is more variable, we need to compare the standard deviation of the two groups. The standard deviation measures the amount of variability or dispersion of a set of data.
A larger standard deviation indicates that the data is more spread out, while a smaller standard deviation indicates that the data is more tightly clustered.
In this case, the standard deviation for patients admitted for additional treatment is 15.1 minutes, while the standard deviation for patients discharged after receiving treatment is 11.4 minutes.
Since 15.1 is larger than 11.4, this indicates that the waiting time for patients admitted for additional treatment is more variable than the waiting time for patients who are discharged after receiving treatment.
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(4x + 2), (2x +3), and (x-2)
Add all the answers together!!
Please help its due today.
Find the divergence of the vector field. F(x, y, z) = 5x²7 - sin(xz) (i+k)
The divergence of the vector field F(x, y, z) = (5x^2 + 7 - sin(xz))i + 0j + (5x^2 + 7 - sin(xz))k is 20x - 2zcos(xz).
To find the divergence of the vector field F(x, y, z) = (5x^2 + 7 - sin(xz))i + 0j + (5x^2 + 7 - sin(xz))k, you need to take the divergence operator (∇ · F).
The divergence of a vector field in Cartesian coordinates is given by the following formula:
∇ · F = (∂Fx/∂x) + (∂Fy/∂y) + (∂Fz/∂z),
where Fx, Fy, and Fz are the x, y, and z components of the vector field F, respectively.
In this case, we have:
Fx = (5x^2 + 7 - sin(xz)),
Fy = 0, and
Fz = (5x^2 + 7 - sin(xz)).
Taking the partial derivatives, we get:
∂Fx/∂x = 10x - zcos(xz),
∂Fy/∂y = 0, and
∂Fz/∂z = 10x - zcos(xz).
Now, substituting these derivatives into the divergence formula, we have:
∇ · F = (10x - zcos(xz)) + 0 + (10x - zcos(xz)).
Simplifying further, we get:
∇ · F = 20x - 2zcos(xz).
Therefore, the divergence of the vector field F(x, y, z) = (5x^2 + 7 - sin(xz))i + 0j + (5x^2 + 7 - sin(xz))k is 20x - 2zcos(xz).
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What is the word form for 2.26
Answer:
Im pretty sure it's two and twenty six thousandths
Answer:
Two and twenty six tenths
Find all sides of a right triangle whose perimeter is equal to 60 cm and its area is equal to 150 square cm
Answer:
15cm by 20cm by 25cm
Step-by-step explanation:
Let the sides of the right angle be x, y and h
x is the breadth
y is the height
h is the hypotenuse
Perimeter = x + y + h
x + y +h = 60
x+y = 60-h .... 1
If its area is equal to 150 square cm, then;
Area = 1/2 * base * height
Area = 1/2 *x * y
xy/2 = 150
xy = 300 ....2
According to pythagoras theorem;
x² + y² = h²
On expanding x² + y²
x² + y² = (x+y)² - 2xy
The equation becomes
(x+y)² - 2xy = h² ... 3
Substitute equation 1 and 2 into 3;
From 3;
(x+y)² - 2xy = h² ... 3
(60-h)² - 2(300) = h²
3600-120h + h² - 600 = h²
3600-120h - 600 = 0
-120h = 600-3600
-120h = -3000
h = 3000/120
h = 25cm
Recall that x+y+h = 60
x+y+25 = 60
x+y = 60 - 25
x+y = 35 ... 4
From equation 2;
xy = 300
x = 300/y ..... 5
Substitute 5 into 4;
300/y + y = 35
(300+y²)/y = 35
300+y² = 35y
y²-35y + 300 = 0
y²-20y-15y + 300 = 0
y(y-20)-15(y-20) = 0
y-20 = 0 and y - 15 =0
y = 20 and 15
since x+y = 35
x + 20 = 35
x = 35 - 20
x = 15
Hence the sides of the triangle are 15cm by 20cm by 25cm
Find the volume of the prism.
7 m
20 m
26 m
(Image)---------- (in link)
Answer:
You could solve this by taking the y value and adding it to the multiplied rate.
For example: For Jill's 6 year mark, the equation would be 11(6) + 15.
Hope this makes sense, don't hesitate to ask for clarification on a certain part of the answer.
Solve the following inequality in the simplest form: 8(−x−2/3)−1≥7
How do you teach division to Year 3?.
Chunking is a good way to introduce your child to some of the more basic concepts of division, and once they have come to terms with this they can then move onto the short method of division.
Now, According to the teaching Ideas:
Start with a clear definition of division. Reinforce Mathematical language expectations with clear definitions for dividend, divisor and quotient. Explore word problems with pictorial support.Model how to use manipulatives to represent the grouping in the word problem.We have four basic arithmetic operations i.e., addition, subtraction, multiplication, and division. Amongst these four operations, the division is one of the major operations we use in our daily activities. It is the process of splitting a large group into equal smaller groups. For example, divide 25 by 5. Division fact for this example will be, 25 ÷ 5 = 5.
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Anybody know the answer?
Answer:
A . or C. is probley your best bet if not I'm sorry
Find the radius of convergence, R, of the series.
∑
[infinity]
n=1
xn
8n−1
Find the interval, I, of convergence of the series. (Give your answer using interval notation.)
The radius of convergence, R, of the series ∑[infinity]n=1 xn8n-1 is 1/8. The interval of convergence, I, is (-1/8, 1/8) or (-1/8 ≤ x ≤ 1/8).
To find the radius of convergence, we can use the ratio test. Let's apply the ratio test to the given series:
lim |xn+1 × 8n / (xn × 8n-1)| as n approaches infinity.
Simplifying the expression, we get:
lim |x × 8n / 8n-1| as n approaches infinity.
Since the absolute value of x does not affect the limit, we can simplify further:
lim |8x| as n approaches infinity.
For the series to converge, the limit must be less than 1. Therefore, we have: |8x| < 1.
Solving for x, we find: -1/8 < x < 1/8.
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The probability that Janice smokes is 3/10 The probability that she
Smokes and develops lung cancer is 4/15 Find the probability that
Janice develops lung cancer, given that she smokes.
Answer: 6/7
Step-by-step explanation:
Hope this helps
I need help please:((
Select the correct answer. An iron bar at 200°C is placed in thermal contact with an identical iron bar at 120°C in an isolated system. After 30 minutes, both iron bars are at 160°C. If the iron bars were placed in thermal contact in an open system instead of an isolated system, how would the results be different? Assume that the room temperature is 25°C. A. The temperatures of the iron bars after 30 minutes would be less than 160°C because heat would be lost to the surroundings. B. It would take more than 30 minutes for both iron bars to reach 160°C because heat would be transferred less efficiently. C. The temperatures of both iron bars would increase as they absorb heat from the surroundings. D. The temperatures of both iron bars would decrease because pieces of them would be lost to the
Answer:
A. The temperatures of the iron bars after 30 minutes would be less than 160°C because heat would be lost to the surroundings.
Step-by-step explanation:
The hotter bar would lose heat to both the cooler bar and the surroundings. The cooler bar would gain heat from the hotter bar, but lose heat to the surroundings. Because heat is lost to the surroundings, the temperature of the iron will be less at the same time (after 30 minutes) than it would be in an isolated system.
WILL GIVE BRAINIEST!!!!!!!!
Answer:
y = -5/2x +4
Step-by-step explanation:
First, make the equation into standard form.
5x + 2y = -10
2y = -5x - 10
y = -2.5x - 5
In order for two lines to be parallel, they must have the same slope. (In y = mx + b, "m" is the slope)
The slope in y = -2.5x - 5 is -2.5, so we need to find an equation with a slope of -2.5 (or -5/2)
In y = -2/5x - 8, the slope is -2/5
In y = 2/5x + 7, the slope is 2/5
In y = 5/2x - 6, the slope is 5/2
In y = -5/2x +4, the slope is -5/2.
Thus, y = -5/2x +4 is the right answer
What is the perimeter? If necessary, round to the nearest tenth.
a=24
b=45
c=?
Answer:
Step-by-step explanation:
The perimeter of a triangle is the sum of the lengths of its sides. Therefore, to find the perimeter of the triangle with sides a = 24, b = 45, and c = ?, we need to add up the lengths of the known sides:
Perimeter = a + b + c
Plugging in the values, we get:
Perimeter = 24 + 45 + c
Simplifying, we get:
Perimeter = 69 + c
We still need to find the length of the third side, c. However, we can use the fact that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. In other words:
a + b > c
24 + 45 > c
69 > c
Therefore, we know that c must be less than 69.
On the other hand, we can also use the fact that the difference between the lengths of any two sides of a triangle must be less than the length of the third side. In other words:
|a - b| < c
|24 - 45| < c
21 < c
Therefore, we know that c must be greater than 21.
Putting these two inequalities together, we have:
21 < c < 69
So the perimeter is:
Perimeter = 69 + c
And we know that:
21 < c < 69
Therefore, we can say that the perimeter is somewhere between:
69 + 21 = 90
and
69 + 69 = 138
Rounding to the nearest tenth, we get:
Perimeter ≈ 90.0 - 138.0
Therefore, the perimeter is somewhere between 90.0 and 138.0, depending on the actual length of the third side, c.
A long distance swimmer’s diving watch keeps track of the distance the swimmer goes in reference to the exact starting point. The watch records the location of the swimmer each time the swimmer turns around. After swimming for one hour, the watch shows the following values (units are meters): 145,-260,190-300,100 how many total meters did the swimmer swim?
The total distance in meters the swimmer swims is 995 meters.
Based on the provided information, the diving watch records the location of the swimmer each time the swimmer turns around and after swimming for one hour, the watch shows the values which are measures in meters: 145, -260, 190, -300, 100.
In order to determine the total distance that the swimmer swam in an hour, the values shown on the watch are added. In case of negative values, the negative sign indicates the opposite direction, hence the negative sign is ignored when adding the values.
The total distance = 145 + 260 + 190 + 300 + 100 = 995 meters
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Autumn takes 39 minutes to walk to work.
After getting a new job, the time it takes
Autumn to walk to work has decreased by
35%. How many minutes does it take
Autumn to walk to work now?
We are required to calculate how many minutes does it take Autumn to walk to work now
The number of minutes does it take Autumn to walk to work now is 25.35 minutes
Time taken to walk to work = 39 minutes
Percentage decrease = 35%
Decrease in time = 35% of 39 minutes
= 35/100 × 39 minutes
= 0.35 × 39 minutes
= 13.65 minutes
Number of minutes does it take Autumn to walk to work now
= 39 minutes - 13.65 minutes
= 25.35 minutes
Therefore, the number of minutes does it take Autumn to walk to work now is 25.35 minutes
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