GIVING BRAINLIEST
What is the solution to the system of linear equations graphed below?
Answers
Answer:
The first option so \((3\frac{1}{2}, -4)\) is the answer
Skills required: Graphing Knowledge, Systems Knowledge
Step-by-step explanation:
1) The solution to any system is the intersection between any 2 lines or functions. In this case, we are given two functions on a graph, and need to find the solution to them. That is the intersection.
2) We can see the intersection and see that the x-axis value for the coordinate point is around 3 1/2 (or 3.5 -- whatever you prefer), and that the y-axis value for the point is -4.
Therefore, the coordinate point is: \((3\frac{1}{2}, -4)\) since this answer best matches the coordinate values of that point.
==================================================================
Select the first option, have a nice day! :D
Related Questions
data from central hudson labs determined the mean number of insect fragments in 225-gram chocolate bars was 14.4, but three brands had insect contamination more than twice the average. assume the number of fragments (contaminants) follows a poisson distribution. (a) if you consume a 225-gram bar from a brand at the mean contamination level, what is the probability of no insect contaminants?
Answers
The probability of finding 0 contaminated pieces in 225 g of chocolate is 5.57 X 10⁻⁷.
Here the number of contaminated fragments follows a Poisson process. Hence, let the distribution for the same be X.
Hence we get X ~ Poi(λt)
where λ is the mean no. of contaminated pieces and t is the no. of bars consumed.
For P(X = x) we get [(λt)ˣ e^(-λt)]/x!
Here λ = 14.4 and t = 1 Hence we will get
P(X = x) = [(14.4)ˣ e⁻¹⁴°⁴]/x!
Here we need to find the probability of the no. of contaminated pieces = 0
Therefore
P(X = 0) = [(14.4)⁰ e⁻¹⁴°⁴]/0!
Hence the probability of finding 0 contaminated pieces in a bar of chocolate is
P(X = 0) = e⁻¹⁴°⁴
= 5.57 X 10⁻⁷
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12a + 3 - y
What is the constant?
What is the coefficient?
What is the variable?
What are the factors of 9x?
Answers
Answer:
the constant is 3 the coefficant is y and the varible is a and the factors of 9 are 18 and 27
Step-by-step explanation:
Answer:
The constant is 3
The coefficient is 12
The variables are both A and Y.
Disclaimer: I'm not sure about this next one, but I believe it's right.
9x factors are 3x, 1, and 9x.
If you wanted me to factor it, then it'd be something like 3x(3)
Step-by-step explanation:
A constant is a number that is by itself. Variables can't be constants. In this case, the only number that is by itself, that isn't a variable is 3. Therefore, 3 is the constant.
A coefficient is a number that accompanies the variable. Normally in a math equation, a variable is multiplied by a number. In this case, A is being multiplied by 12, so 12 is the coefficient.
The variable is the letter that represents any number. In this case, there are two variables, A and Y. They both represent numbers that can differ. So, A and Y are the variables.
The factors of 9x are 3x, 3, 1x, 1, 9x, and 9.
9 times 1x is 9x, 9x times 1 is also 9x.
3 times 3x is 9x, and 3x times 3 is again, 9x.
Sorry if I was wrong about the 4th one.
Help please will mark brainliest answer
Answers
Answer:
47 degrees
Step-by-step explanation:
Answer:
B. 47 degrees
Step-by-step explanation:
/_wxy = 56
/_xyw = 68
/_xwy = 180 - (56 + 68) = 56
[interior angles of a triangle =180]
/_wzv = 77
/_vwz = 56
[/_xwy = /_ vwz]
/_zvw = 180 - (77 + 56) = 47
Question 4 of 32 Jacob is a construction worker who earns a yearly income given by the expression 2000x + 3000, where x is the number of hours he works each week. Carlos works with Jacob and earns a yearly income given by the expression 3800x – 40000. A manager predicts that if Carlos and Jacob each work 35 hours, they will earn the same amount of money.
PART A:The number of hours that makes the equation true is
Options: 24, 27, 29,31,34
PART B:Round your answer to the nearest whole number. The manager's prediction is
Options: equal to, less than, greater than
the actual number of hours that Carlos and Jacob need to work to earn the same amount of money.
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given the expression :
Jacob's yearly income :
2000x + 3000 ; x = number of hours worked per week.
Carlos income :
3800x - 40000
Managers prediction = 35
Jacob.: 2000(35) + 3000 = 73000
Carlos : 3800(35) - 40000 = 93000
Carlos will earn more than Jacob given the manager's prediction.
Number of hours required so they can earn the same amount :
2000x + 3000 = 3800x - 40000
3000 + 40000 = 3800x - 2000x
43000 = 1800x
x = 43000/1800
x = 23.88
x = 24 hours
Are the ratios 5:20 and 1:2 equivalent?
Answers
Hey there!
Question reads….
“Are the ratios 5:20 and 1:2 equivalent?”
Let’s find out if they are or not!
5:20
= 5 ÷ 5 : 20 ÷ 5
= 1 : 4
So, therefore, your answer is: NO because 5:20 = 1:4 NOT 1:2
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
find an expression for t1 , the tension in cable 1, that does not depend on t2 . express your answer in terms of some or all of the variables m , θ1 , and θ2 , as well as the magnitude of the acceleration due to gravity g . you must use parentheses around θ1 and θ2 , when they are used as arguments to any trigonometric functions in your answer.
Answers
This expression for t1 does not depend on t2 and is expressed in terms of the given variables m, θ1, θ2, and the acceleration due to gravity g.
First, let's analyze the forces acting on the mass m.
There are three forces acting on the mass:
1. Gravitational force (mg) acting downwards
2. Tension force t1 acting at an angle θ1 from the vertical
3. Tension force t2 acting at an angle θ2 from the vertical
We can resolve these forces into their vertical and horizontal components.
For the vertical components, we have:
t1 * sin(θ1) + t2 * sin(θ2) = mg
For the horizontal components, we have:
t1 * cos(θ1) = t2 * cos(θ2)
Now we need to eliminate t2 from these equations. Divide the first equation by sin(θ2) and the second equation by cos(θ2):
t1 * sin(θ1) / sin(θ2) + t2 = mg / sin(θ2)
t1 * cos(θ1) / cos(θ2) = t2
Now we can substitute the expression for t2 from the second equation into the first equation:
t1 * sin(θ1) / sin(θ2) + t1 * cos(θ1) / cos(θ2) = mg / sin(θ2)
Factor out t1 from the left side:
t1 * (sin(θ1) / sin(θ2) + cos(θ1) / cos(θ2)) = mg / sin(θ2)
Finally, solve for t1:
t1 = (mg / sin(θ2)) / (sin(θ1) / sin(θ2) + cos(θ1) / cos(θ2))
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Find the value of x that makes 25x^2 + 70x + c a perfect square trinomial
Answers
The value of x that makes 25x^2 + 70x + c a perfect square trinomial is c = 1225.
To make the quadratic expression 25x^2 + 70x + c a perfect square trinomial, we need to determine the value of c.
A perfect square trinomial can be written in the form (ax + b)^2, where a is the coefficient of the x^2 term and b is half the coefficient of the x term.
In this case, a = 25, so b = (1/2)(70) = 35.
Expanding (ax + b)^2, we have:
(25x + 35)^2 = 25x^2 + 2(25)(35)x + 35^2
= 25x^2 + 70x + 1225.
Comparing this with the given quadratic expression 25x^2 + 70x + c, we can see that c = 1225.
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It is known that: vector A = (3,2,-1) and vector B = (5,-3,2) , Determine:
a. the length of the projection of vector B on vectorA
b. the length of the projection of vector B on vectorA
C. the scalar projection of vector B on vectorA d. vector projection , vector A on vector B
e. the projection of vector , vector B on vector A
Answers
a) The length of the projection of vector B onto vector A is sqrt(7/2).
b) The length of the projection of vector A onto vector B is sqrt(455/361).
c) The scalar projection of vector B onto vector A is (7 / sqrt(14)).
d) The vector projection of vector A onto vector B is (35/38, -21/38, 7/19).
e) The projection of vector B onto vector A is (3/2, 1, -1/2).
a. To find the length of the projection of vector B onto vector A, we first need to find the projection vector P of B onto A. The projection vector P is given by:
P = (B dot A / \(||A||^{2}\) ) * A
where "dot" represents the dot product of two vectors and ||A|| is the magnitude of vector A.
The dot product of vectors A and B is given by:
A dot B = (3 * 5) + (2 * -3) + (-1 * 2) = 15 - 6 - 2 = 7
The magnitude of vector A is:
||A|| = \(\sqrt{3^{2}+2^{2}+(-1)^{2} }\) = \(\sqrt{14}\)
Substituting these values into the formula for the projection vector P, we get:
P = (7 / 14) * (3, 2, -1) = (3/2, 1, -1/2)
The length of the projection of vector B onto vector A is simply the magnitude of the projection vector P. That is:
||P|| = \(\sqrt{(3/2)^{2}+1^{2}+(-1/2)^{2} }\) = \(\sqrt{7/2}\)
b. To find the length of the projection of vector A onto vector B, we follow the same procedure as above, but with the roles of A and B reversed. That is, we need to find the projection vector Q of A onto B, which is given by:
Q = (A dot B / \(||B||^{2}\)) * B
The dot product of vectors A and B is the same as above, which is 7. The magnitude of vector B is:
||B|| = \(\sqrt{5^{2}+(-3)^{2}+2^{2} }\) = \(\sqrt{38}\)
Substituting these values into the formula for the projection vector Q, we get:
Q = (7 / 38) * (5, -3, 2) = (35/38, -21/38, 7/19)
The length of the projection of vector A onto vector B is the magnitude of the projection vector Q, which is:
||Q|| = \(\sqrt{(35/38)^{2}+(-21/38)^{2}+(7/19)^{2} }\) = \(\sqrt{455/361}\)
c. The scalar projection of vector B onto vector A is given by:
B scalar projection A = (B dot A) / ||A||
where "dot" represents the dot product of two vectors and ||A|| is the magnitude of vector A.
The dot product of vectors A and B is given by:
A dot B = (3 * 5) + (2 * -3) + (-1 * 2) = 15 - 6 - 2 = 7
The magnitude of vector A is:
||A|| = \(\sqrt{3^{2}+2^{2}+(-1)^{2} }\)= \(\sqrt{14}\)
Substituting these values into the formula for the scalar projection, we get:
B scalar projection A = (7 / )
d. The vector projection of vector A onto vector B is given by:
A vector projection B = (A dot B / \(||B||^{2}\)) * B
The dot product of vectors A and B is given by:
A dot B = (3 * 5) + (2 * -3) + (-1 * 2) = 15 - 6 - 2 = 7
The magnitude of vector B is:
||B|| = \(\sqrt{5^{2}+(-3)^{2}+2^{2} }\) = \(\sqrt{38}\)
Substituting these values into the formula for the vector projection, we get:
A vector projection B = (7 / 38) * (5, -3, 2) = (35/38, -21/38, 7/19)
e. The projection of vector B onto vector A is given by:
B projection A = (B dot A / \(||A||^{2}\) ) * A
The dot product of vectors A and B is given by:
A dot B = (3 * 5) + (2 * -3) + (-1 * 2) = 15 - 6 - 2 = 7
The magnitude of vector A is:
||A|| = \(\sqrt{3^{2}+2^{2}+(-1)^{2} }\)= \(\sqrt{14}\)
Substituting these values into the formula for the projection, we get:
B projection A = (7 / 14) * (3, 2, -1) = (3/2, 1, -1/2)
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=0.56x−0.25n=0.20x−0.03
m
=
0
.
56
x
-
0
.
25
n
=
0
.
20
x
-
0
.
03
Find the sum of m and n. Show all work of explain how you solved
Answers
Given:
\(m=0.56x-0.25\)
\(n=0.20x-0.03\)
To find:
The sum of m and n.
Solution:
We have,
\(m=0.56x-0.25\)
\(n=0.20x-0.03\)
The sum of m and n is:
\(m+n=(0.56x-0.25)+(0.20x-0.03)\)
Combining the like terms, we get
\(m+n=(0.56x+0.20x)+(-0.25-0.03)\)
\(m+n=(0.76x)+(-0.28)\)
\(m+n=0.76x-0.28\)
Therefore, the sum of m and n is \(m+n=0.76x-0.28\).
A team of swimmers is training for a swim meet. The table shows the number of laps each person has swum so far and how long the laps took. Name Laps Time (minutes)
Jonathan 2 4
Julian 1 1
Seth 3 6
Bennett 7 21
Taylor 4 7
The relationship between time and the number of laps is not proportional across all swimmers. Which two swimmers swam at the same rate (had time and laps in the same proportion)?
Answers
Jonathan and Seth both had a time per lap of 2 minutes, which means they swam at the same rate.
To determine who swam at the same rate, we need to calculate the time per lap for each swimmer. This can be done by dividing the time by the number of laps.
Jonathan: 4 ÷ 2 = 2 minutes per lap
Julian: 1 ÷ 1 = 1 minute per lap
Seth: 6 ÷ 3 = 2 minutes per lap
Bennett: 21 ÷ 7 = 3 minutes per lap
Taylor: 7 ÷ 4 = 1.75 minutes per lap
From the calculations, we can see that Jonathan and Seth both had a time per lap of 2 minutes, which means they swam at the same rate.
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Simplify each expression. 4(g+2)
Answers
Answer:
4g + 8
Step-by-step explanation:
Step 1: Write out expression
4(g + 2)
Step 2: Distribute 4
4g + 8
Answer:
4g + 8
Step-by-step explanation:
you use the distribution property to multiply 4 by g and 4 by 2
which gets you 4g +8
hope this helps
Choose all non-integers in between 0 and 1.
D-112
O 0.6
314
1.5
1/2
Answers
Answer:
All of them
Step-by-step explanation: integers are whole numbers, there's no whole numbers between 0 and 1
Suppose you have $3.50 every day to buy the PS3 play station. How much will you save in 5 months.
Answers
Answer:
$532 approximately
Step-by-step explanation:
Answer:
525$
Step-by-step explanation:
Did you make this problem up lol. Assuming that each of our months has 30 days we would do 3.5× 150 = 525.
list the possible rational roots and actual rational roots for the equation x^4-5x^3+9x^2-7x+2=0
Answers
Answer:
b. 1, 2
Step-by-step explanation:
on edge
assume that t is a linear transformation. find the standard matrix of t. t: ℝ2→ℝ2 first reflects points through the line x2=−x1 and then reflects points through the origin.
Answers
the standard matrix of the linear transformation T: ℝ² → ℝ², which first reflects points through the line x₂ = -x₁ and then reflects points through the origin, is:
[ -1 0 ]
[ 0 1 ]
To find the standard matrix of the linear transformation T: ℝ² → ℝ², we can determine how the basis vectors of ℝ² transform under the given transformation.
The standard basis vectors of ℝ² are:
e₁ = (1, 0) (corresponding to the x-axis)
e₂ = (0, 1) (corresponding to the y-axis)
First, let's apply the reflection through the line x₂ = -x₁:
For e₁ = (1, 0), the reflection through the line x₂ = -x₁ maps it to (-1, 0).
For e₂ = (0, 1), the reflection through the line x₂ = -x₁ maps it to (0, 1).
Next, let's apply the reflection through the origin:
For (-1, 0), the reflection through the origin keeps it the same (-1, 0).
For (0, 1), the reflection through the origin keeps it the same (0, 1).
Now, we have the transformed basis vectors:
T(e₁) = (-1, 0)
T(e₂) = (0, 1)
The standard matrix of the linear transformation T is constructed by placing the transformed basis vectors as columns:
[ -1 0 ]
[ 0 1 ]
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i need help like asap!!!!
Answers
Answer:
to do this lets first solve this so
5*5*5*5=625
5^-3=0.008
0.008^2=0.000064
0.000064*625=0.4
so all equations that are equal to 0.4 are right which is C
Please help
A square picture frame has a diagonal distance of √128 inches. What is the perimeter of the picture frame?
(High School Geometry)
Answers
Answer:32
Step-by-step explanation:
Distance between Robin's Nest to Groundhog Burrow 3.8 -2.3
Answers
Answer:
1.5
Step-by-step explanation:
3.8-2.3=1.5
Fill The Blank ?a function is a rule that assigns to each value of the_____
Answers
In essence, a function is a rule that assigns to each value of the input set (also known as the domain), a unique value of the output set (also known as the range).
A function is a fundamental mathematical concept that is used to describe the relationship between two sets of values.
To understand the idea of a function, imagine a machine that takes in an input and produces an output. The input values are the domain of the function, and the output values are the range. A function can be represented as an equation, a graph, or a table. For example, the equation f(x) = x + 3 represents a function that takes in an input value x and produces an output value that is 3 greater than the input value.
One of the key features of a function is that each input value must have a unique output value. This means that if you input the same value into the function twice, you should get the same output value both times. In mathematical terms, we say that a function is well-defined if it has a unique output value for each input value.
Functions are used in a wide range of mathematical applications, from algebra and calculus to statistics and data analysis. They provide a powerful tool for describing and analyzing relationships between different sets of values.
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12. Find the area of a circle with a circumference
of 11(3.14) feet
Answers
Answer:
A≈9.63
Step-by-step explanation:
Circumference: 11
Using the formulas
A=πr2
C=2πr
Solving forA
A=C2
4π=112
4·π≈9.62887
What is the Confidence Interval for the following numbers: a random sample of 107 , mean of 45 , standard deviation of \( 2.7 \), and confidence of \( 0.82 \) ?
Answers
the confidence interval for the given sample is:\(\[\text{Confidence Interval} = 45 \pm 1.38 \cdot \frac{2.7}{\sqrt{107}}\]\) Simplifying the equation gives:\(\[\text{Confidence Interval} = (44.05, 45.95)\]\)
A confidence interval refers to the range within which the population parameter is most likely to exist. It is a way to express the uncertainty in a statistical analysis, and it is often used to indicate the precision of an estimate. A confidence level of 0.82 means that there is an 82% chance that the true population parameter falls within the confidence interval. A random sample of 107, mean of 45, and standard deviation of 2.7, the confidence interval can be computed by using the formula below:
\(\[\text{Confidence Interval} = \overline{x} \pm z_{\frac{\alpha}{2}}\frac{s}{\sqrt{n}}\]Where \(\overline{x}\)\) is the sample mean, s is the sample standard deviation, n is the sample size, and \(z_{\frac{\alpha}{2}}\) is the z-score for the given confidence level.
In this case, we want a confidence interval with a confidence level of 0.82, so we need to find the corresponding z-score. Using the standard normal distribution table or calculator, the z-score for a confidence level of 0.82 is approximately 1.38.
Therefore, the confidence interval for the given sample is:\(\[\text{Confidence Interval} = 45 \pm 1.38 \cdot \frac{2.7}{\sqrt{107}}\]\) Simplifying the equation gives:\(\[\text{Confidence Interval} = (44.05, 45.95)\]\)
Therefore, we can be 82% confident that the true population parameter falls within the range of 44.05 to 45.95.
This means that if we were to take multiple random samples and calculate confidence intervals for each one, about 82% of the intervals would contain the true population parameter.
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NEED HELP ASAP PLZZZ Suppose you are going to make sandwiches that contain 2 slices of bread and 1 slice of turkey per sandwich. If you have a total 33 slices of turkey and 50 slices of bread, how many sandwiches can you make?
Answers
Answer:
33
Step-by-step explanation:
if turkey is in each and you have 33, tan you can make 33
that is how i would look at it
Hope this helps!!!
if g(x) = 2x^2 + 7x - 4, find g(-2)
Answers
Step-by-step explanation:
g(-2)=2(-2)^2 +7(-2) -4
=8 -14 -4
= -10.
j(20)= -5-4(20)
=-5-80
= -85
g(-2) = 2(-2)^2 + 7(-2) - 4
= 2(4)+7(-2)-4
= 8-14-4
=-8
How many 5th equals 9
Answers
The number of 5ths that equals 9 is gotten bus using multiplication property of equality by multiplying 9 by 5 to give; 45
How to find the number of terms?We want to find the number of 5ths that equals 9. We can express this as;
¹/₅x = 9
Where x is the number that is multiplied with one - fifth to equal 9.
To solve it, we will apply multiplication property of equality by multiplying both sides by 5 to get;
x = 45
Thus, the number of 5ths that equals 9 is 45.
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What is the greatest common factor of −15x2y − 10xy3 5xy4? 5xy 5x2y4 5xy2 xy
Answers
the greatest common factor of the given expressions is -5xy.
To find the greatest common factor of the given expressions, we need to factor them first.
\(-15x^2y - 10xy^3 + 5xy^4 = -5xy(3x^2 + 2y^2 - y^3)\\5xy = 5xy(1)\\5x^2y^4 = 5xy^4(x^2)\\5xy^2 = 5xy^2(1)\)
xy = xy(1)
Now, we can find the common factors by taking the minimum exponent of each variable in the factors:
The common factors are:5xy
Therefore, the greatest common factor of the given expressions is -5xy.
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A triangle has side lengths of (1.4u+9.6)(1.4u+9.6) centimeters, (4.3u-9.9)(4.3u−9.9) centimeters, and (5.3v+1.8)(5.3v+1.8) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?
Answers
Answer:
5.7u+5.3v+1.5Step-by-step explanation:
Given a triangle with side lengths s1, s2 and s3, the perimeter of the triangle in centimetre is expressed as the sum of all the sides of the triangle i.e
Perimeter of a triamgle = s1+s2+s3
Given the sides of the triangle in question as (1.4u+9.6) centimeters, (4.3u-9.9)centimeters, and (5.3v+1.8) centimeters, the perimeter of the triangle will be the sum of all the functions as shown;
Let s1 = (1.4u+9.6)cm
s2 = (4.3u-9.9)cm
s3 = (5.3v+1.8) cm
Perimeter of the triangle = 1.4u+9.6 + 4.3u-9.9 + 5.3v+1.8
collect like terms
P = 1.4u+ 4.3u+5.3v+9.6-9.9 +1.8
P = 5.7u+5.3v+1.5
Hence the expression that represents the perimeter of the triangle is 5.7u+5.3v+1.5
For incoming freshman at BYU, ACT scores are Normally distributed with a mean of 28 and a standard deviation of 2. How many standard deviations away from the mean is an ACT score of 31?
Answers
Answer:
To calculate how many standard deviations away from the mean an ACT score of 31 is, we need to use the formula:
z = (x - μ) / σ
Where:
x = ACT score of 31
μ = mean of ACT scores (28)
σ = standard deviation of ACT scores (2)
z = number of standard deviations away from the mean
Substituting the values, we get:
z = (31 - 28) / 2
z = 1.5
Therefore, an ACT score of 31 is 1.5 standard deviations away from the mean.
Emma and her 3 friends did chores for Emma's dad on saturday. they earned $55.00 and split it evenly. how much money did each of the 4 children get?
Answers
Answer:
55 divided by 4 is 13.75 so they each got $13.75.
Step-by-step explanation:
Hope it helps! =D
Factorise this expression 14a+49 with brackets
Answers
Answer:
7(2a +7)
Step-by-step explanation:
\(14a+49\\=7\times 2a+7\times 7\\= 7(2a +7)\)
Find the slope of the line passing through the points (-6, -5) and (4,4).
Answers
Answer:
9/10 or 0.9
Step-by-step explanation:
Slope of a line passing through two points (x1, y1) and (x2, y2) is given by
Slope m = rise/run
where
rise = y2 - y1
run = x2 - x1
Given points (- 6, - 5) and (4, 4),
rise = 4 - (-5) = 4 + 5 = 9
run = 4 - ( - 6) = 4 + 6 = 10
Slope = rise/run = 9/10 or 0.9