Answer:
1302 for the first
-194 for second
Step-by-step explanation:
just do the operation
7. Solve the system of linear equations. - 3x + 5y = 4 x + y = -4 A. (1, -5) B. (0, -4) C. (-3,-1) D. (-5, 1)
To solve this system of equations, we can use the substitution method. In this way, we can solve the system for one of the unknowns. Then, we need to substitute the resulting value in one of the equations to find the other value for the other unknown. We can proceed as follows:
\(x+y=-4\Rightarrow x=-4-y\)We can substitute this in the other equation as follows:
\(-3(-4-y)+5y=4\)Now, we need to apply the distributive property:
\(12+3y+5y=4\Rightarrow12+8y=4\)Subtracting by 12 to both sides of the equation:
\(12-12+8y=4-12\Rightarrow8y=-8\)Dividing both sides by 8, we have:
\(\frac{8y}{8}=-\frac{8}{8}\Rightarrow y=-1\)Now, with a value of y = -1, we can substitute this one into the easiest equation to find the value of x:
\(x+(-1)=-4\Rightarrow x=-4+1\Rightarrow x=-3\)Therefore, we have that the solution for this system is:
• x = -3
,• y = -1, or
,• (-3, -1) (option C).
Determine whether the table represents a linear or nonlinear function.
Select each statement that could be used to justify your answer.
The rate of change is not constant.
The rate of change is not constant.
The y, -values decrease by the same amount.
The y -values decrease by different amounts.
As the x-values increase by 1, the y-values decrease by 15.
The y -values are multiples of 5.
The function represented by the table is given by the rate of change of
the x and y-values which are constant indicating a linear function.
Response:
The statement that could be used to justify that the table represents a linear function is as following;
The y-values decrease by the same amountHow to determine if a table represents a linear function?The table of of a linear function is one in which the first difference in
the y-values is constant given that the difference in the x-values are also
constant.
From the table, the first difference between each y-value and the
previous y-value is found as follows;
20 - 35 = -15
5 - 20 = -15
-10 - 5 = -15
While the difference between the corresponding x-values = 1 as follows;
0 - (-1) = 1
1 - 0 = 1
2 - 1 = 1
Therefore;
The (rate of) change in the x and y -values in the table are constant, and
the function is a linear function.
The correct statement is therefore;
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PLEASE HELP ME ON 6-11 AND SHOW WORK PLEASE!!
Answer:
6) 6\(\sqrt{2}\)
9) 40
10) \(\frac{5\sqrt{2} }{2}\)
11) 13
Step-by-step explanation:
6)A right triangle rule: if 2 legs are equal, the hypotenuse is the length of that leg*\(\sqrt{2}\)
9) Pythagorean Theorem
\(a^{2} +b^{2} =c^{2}\)
We know the hypotenuse (41) so we substitute that for c and 9 for b now we need to find a
\(\sqrt{41^{2}-9^{2} }\) which gives us 40
10) same with #6 but we do the opposite. SInce we have the hypotenuse, we can divide that by \(\sqrt{2}\) because we know that if 2 legs are equal, the hypotenuse is multiplied by \(\sqrt{2}\). Multiply the numerator and denominator by \(\sqrt{2}\) because we can't have a square root in the denominator.
11) like #9 we have the a and b but we need to find c
a=5 b=12 c=r
so \(\sqrt{5^{2}+12^{2} }\) which gives us 13
\( {h}^{2} = {p}^{2} + {b}^{2} \)
\( {c}^{2} = {6}^{2} + {6}^{2} \\ {c}^{2} = 36 + 36 \\ c = \sqrt{2( {6}^{2} )} \\ c = \sqrt{2}{\sqrt{ {6}^{{2}} } } \\ c = 6 \sqrt{2} \: \: \: ans\)
9TH PART:- GIVENRIGHT ANGLE SO ITS A RIGHT ANGLED TRIANGLE SO WE CAN USE PYTHAGOUS THEOREMBASE = 9HYPOTENUSE= 41SOLUTION->
\( {h}^{2} = {p}^{2} + {b}^{2} \)
\( {41}^{2} = {x}^{2} + {9}^{2} \\ 1681 = {x}^{2} + 81 \\ 1681 - 81 = {x}^{2} \\ 1600 = {x}^{2} \\ x = \sqrt{40 \times 40} \\ x = 40 \: \: \: ans\)
10 TH PART:-GIVEN
RIGHT ANGLE SO ITS A RIGHT ANGLED TRIANGLE SO WE CAN USE PYTHAGOUS THEOREMTWO SIDES ( BASE AND PERPENDICULAR) R EQUAL TO SHYPOTENUSE= 5SOLUTION->\({h}^{2} = {p}^{2} + {b}^{2} \)
\( {5}^{2} = {s}^{2} + {s}^{2} \\ 25 = 2 {s}^{2} \\ 12.5 = {s}^{2} \\ \sqrt{12.5} = s \\ 3.5 = s \: \: \: ans\)
11TH PART:- GIVEN RIGHT ANGLE SO ITS A RIGHT ANGLED TRIANGLE SO WE CAN USE PYTHAGOUS THEOREMBASE = 5 PERPENDICULAR= 12 SOLUTION ->\( {h}^{2} = {p}^{2} + {b}^{2} \)
\( {r}^{2} = {12}^{2} + {5}^{2} \\ {r}^{2} \\ 144 + 25 \\ {r}^{2} = 169 \\ r = \sqrt{13 \times 13} \\ r = 13 \: \: \: \: ans\)
HOPE IT HELPED
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A machine that manufactures automobile pistons is estimated to produce a defective piston 3% of the time. Suppose that this estimate is correct and that a random sample of 80 pistons produced by this machine is taken.
(a) Estimate the number of pistons in the sample that are defective by giving the mean of the relevant distribution (that is, the expectation of the relevant random variable).
Do not round your response. (b) Quantify the uncertainty of your estimate by giving the standard deviation of the distribution.
Round your response to at least three decimal places
(a) The mean of the relevant distribution is 2.4 defective pistons.
(b) The standard deviation of the distribution is 1.539.
The mean of the relevant distribution is the expected number of defective pistons that we would expect to get from a sample of 80 pistons produced by this machine. The mean is calculated by multiplying the probability of a defective piston (3%) with the number of pistons in the sample (80). In this case, the mean is 2.4 defective pistons. The standard deviation of the distribution quantifies the uncertainty of our estimate. It is calculated by taking the square root of the variance, which is the expected value of the squared differences between the number of defective pistons in the sample and the mean. In this case, the standard deviation is 1.539. This means that, in theory, we would expect 68% of the samples to contain between 0.861 and 4.139 defective pistons.
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The width of a rectangle is 8 inches shorter than its length. The perimeter of the rectangle is 18 inches. What are the length and width? Which equation models this problem? A. 8 • l = 18 – 8 B. 2l + 2(l – 8) = 18 C. l + (8 + 2l) = 18 D. l(l – 8) = 18
Answer:
B
Step-by-step explanation:
Let length be l
Width, w=l-8
Perimeter = 2(l+w) = 2l+2w
2l+2(l-8)=18
Select all the pairs of equivalent expressions
Answer: 1, 2, 4
Step-by-step explanation:
Step-by-step explanation:
Remember your exponent rules.
\( {a}^{ - m} = \frac{1}{a} \)
And
\( {(\frac{a}{b} )}^{ - m} = {(\frac{b}{a} )}^{ m}\)
So the first one would be
\( \frac{1}{ {4}^{3} } \times 4 = \frac{1}{16} \)
Find the missing angle measures ASAP
Answer:
theres so many missing angle messures, which one do you want lol
Step-by-step explanation:
You have 50 rolls of fencing that are each 15 1/2 feet long. What is the total length of fencing
Answer:
775
Step-by-step explanation:
50*15 1/2=775
hope this helps :3
(03.06a LC) How many solutions does the equation 4x + 8 = -2 - 2 + 5x have? (5 points)
Two
One
None
Infinitely many
Answer:
1 x=12
Step-by-step explanation:
combine -2 ans -2 then add -8 the subtract 5 from 4 and divde 1 from each side
how many solutions does the system of equations have?
Step-by-step explanation:
The ONE solution to this system of two lines is the point where the two lines cross at (1,4)
Find absolute value integer or simplified fraction!!
Answer:
1/7
Step-by-step explanation:
Absolute value is the distance from zero. 7 and -1/7 and their distance from zero is not the same, but the distance from zero with the numbers -1/7 and 1/7 are the same. The absolute value, the distance from zero, is both 1/7.
Jimmy's lunch box in the shape of a half cylinder on a rectangular box.
Find the total volume of metal needed to manufacture it
Answer:10cm 5cm 7 Jim's lunch box is in the shape of a half cylinder on a rectangular box. To the nearest whole unit, what is a The total volume it contains? b The total area of the sheet metal in 10 in needed to manufacture it? This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts
Step-by-step explanation:
A line passes through the points (5,21) and (6,22).
Hey there!
The formula is: y₂ - y₁ / x₂ - x₁
y₂ = 22
y₁ = 21
x₂ = 6
x₁ = 5
Your equation: 22 - 21 / 6 - 5
22 - 21 = 1 ← numerator (TOP number)
6 - 5 = 1 ← denominator (BOTTOM number)
We can say that the line that passes through lines (5 , 21) (6 , 22): 1/1
(or you can simply 1 because 1 ÷ 1 gives you 1)
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Select the correct answer from each drop-down menu. Astronomers can use geometry to measure the objects in space and describe their
Please Help.
Astronomers can use geometry to measure the distance of objects in space and describe ttheir relationship.
Who are astronomers?It should be noted that astronomers study stars, planets, and other celestial bodies. It should be noted that they use ground-based equipment, like optical telescopes, and space-based equipment. Some astronomers study distant galaxies and phenomena such as black holes and neutron stars.
In this case, astronomers can use geometry to measure the distance of objects in space and describe ttheir relationship.
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Answer:
distance between, motion
Step-by-step explanation:
plato, I got it right
A triangle has sides measuring 2 inches and 7 inches.If x represents the length in inches of the third side, which inequality gives the range of possible values for x?
Answer:
I would say A is the answer.
what is the differnce between ║-3║ and - 3.
the first number is only suppoased to have one line on each side
Answer:
l-3l=3 and -3=-3
Step-by-step explanation:
The two bars mean you are finding the absolute value of a number. Absolute value is the distance from zero a number is. Since distance is always positive it basically just means take away the negative if there is one. For example,
l-7l=7 and l8l=8. So the difference is -3 is negative while l-3l is positive.
Answer:
the first tem is greater than the second term so 3>-3
Step-by-step explanation:
you have to simplify the terms first.
3 is greater than -3
- Austin is paid a salary of $350 weekly. What are his yearly earnings?
Answer:
average, he earns 16,800 dollars in 1 year
Step-by-step explanation:
he is paid 350 dollars a week
there are 4 weeks in a month and 12 months in 1 year.
350*4=1400
1,400*12 is 16,800.
if a pupil had a score of 60%,how many marks out of 150 did he obtained
Answer:
90 points
Step-by-step explanation:
We can find 60% of the total points by multiplying that percentage by the total possible number of points, which is given as 150.
\(\begin{aligned}150\cdot 60\% &= 150 \cdot \dfrac{6}{10} \\ \\ &= 150 \cdot \dfrac{3}{5} \\ \\ &= \dfrac{150 \cdot 3}{5} \\ \\ &= \dfrac{450}{5} \\ \\ &= 90\text{ points}\end{aligned}\)
Find the equation of a straight line cutting off the y-intercept 4 from the axis of y and inclined to 60° with the positive direction of X-axis.
The linear function is given as follows:
\(y = \sqrt{x} + 4\)
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
In which:
m is the slope.b is the intercept.The y-intercept is of 4, hence the parameter b is given as follows:
b = 4.
The line is inclined to 60° with the positive direction of X-axis, hence the slope m is given as follows:
m = tan(60º)
\(m = \sqrt{3}\)
Thus the function is given as follows:
\(y = \sqrt{x} + 4\)
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e Michael is working on the roof of his house. Michael is on the ground, standing 5 feet away from the house. A ladder touches the house at a point 20 feet above the ground, and the ground at Michael's feet. What is the approximate distance between Michael and the point where the ladder touches the house?
Answer:
Step-by-step explanation:
25
Question 15 of 20
What is the solution to the following equation?
6(x+1)+ 1 = 25
O A. x = 4
O B. x=5
O C. x = 3
D. X=2
Answer:
The awnser is 3
Step-by-step explanation:
(3+1) = 4 x 6= 24+1 = 25
;)
Answer:
the answer of equation is C. x=3
finding values of products and quotient functions
\(( \frac{r}{s} )(3) = \)
The product and the quotient of the functions are as follows:
(rs)(4) =8
(r / s)(3) = 2
How to solve function?A function relates input and output. It relates an independent variable with a dependent variable.
Therefore, let's solve the function as follows:
r(x) = 2√x
s(x) = √x
Therefore, let's find
(rs)(4) = r(4) × s(4) = 2√4 × √4 = 4 × 2 = 8
Let's find
(r / s)(3) = r(3) / s(3) = 2√3 / √3 = 2
Therefore,
(rs)(4) =8
(r / s)(3) = 2
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( MAKE YOUR OWN COMIC AND SOLVE IT SHOWING WORK) THE COMIC HAS TO BE ALIKE TO THE EXAMPLE NOT THE SAME THING BUT DIFFERENT CHARATER DIFFERENT TRIG PROBLEMS
To create another comic out of the scenario is as follows: An eagle is chasing a bird and spots it on top of a 10ft tree and is looking at it at an angle of elevation of 30° degrees.
How to calculate the distance the eagle needs to catch the bird?To calculate the distance, the trigonometric sine law needs to be obeyed and the formula is written below as follows.
a/sinA = b/sinB
where;
a= 10ft
A= 30°
b= ?
B= 90°
That is;
10/sin30° = b/sin90°
make b the subject of formula;
b = 10×sin90°/sin30°
= 10×1/0.5
= 20ft
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Evaluating Linear Piecewise Functions
Consider the function:
f(x) =
7/2+ 2x, x≤-1
-5+3x/2, -1
1/4x, x≥3
< -5_-4_-3_-2_-1_0_1_2_3_4_5 >
What are these values?
f(-3) =[-19/2]ᵒʳ[-5/2]ᵒʳ[-3/4]ᵒʳ[5/2]
f(-1) =[-13/2]ᵒʳ[-3/2]ᵒʳ[-1/4]ᵒʳ[-3/2]
f(3) =[-7/4]ᵒʳ[-1/2]ᵒʳ[3/4]ᵒʳ[19/2]
PLEASE HELP ME ON A SERIOUS TIME CRUNCH!!
Rewrite the following equation as a function of x:
Answer:
Option (D)
Step-by-step explanation:
In a function y shows the values of the function (Output values) and x shows the (input values).
Therefore, to convert any equation into the function, we will solve the equation for y.
Given equation is,
680x + 10y - 1000 = 0
680x + 10y = 1000
68x + y = 100
y = -68x + 100
Now replace y by f(x).
Therefore, the function will be,
f(x) = -68x + 100
Option (C) will be the correct option.
PA ANSWER PO PLEASE NUMBER 1 LNG
1. What is the equivalent statement of a converse?
A. Conditional
B. Inverse
C. Conclusion
D. Contrapositive
Answer:
B.INVERSE ATA YUNG SAGOT
Step-by-step explanation:
BA'T MAY PILIPINO SA BRAINLY IN CANADA?
Which of the following is unlikely to be a primary building block in a company's organizational structure? O Geographic organizational unitsO Process departmentsO Value chain activity departmentsO Divisional units performing one or more of the major processing steps along the value chain (raw materials production, components manufacture, assembly, wholesale distribution, retail store operations). O Traditional functional departments
Value chain activity departments is unlikely to be a primary building block in a company's organizational structure.
In the given question,
We have to explain which of the following is unlikely to be a primary building block in a company's organizational structure.
Organizational structures can be tailored to fit the needs of companies in certain sizes and industries by using functions, markets, products, regions, or processes as their guides.
According to your company's demands, you can add additional building blocks or components to an organisational structure, which normally comprises four basic components.
The value chain framework consists of four secondary activities, procurement and purchasing, human resource management, technological development, and business infrastructure, in addition to five primary activities: inbound operations, operations, outbound logistics, marketing and sales, and service.
Hence, value chain activity departments is unlikely to be a primary building block in a company's organizational structure.
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Graph both lines and plot the point of intersection of the system. -x+y=1 and 2x+y=10
The point of intersection of the system of equations is (3, 4) and this is plotted in the graph shown below.
What is a point of intersection?In Mathematics, a point of intersection can be defined as the location on a graph where two (2) lines intersect, meet, or cross each other, which is typically represented as an ordered pair containing the point, x-axis and y-axis.
What is a graph?A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.
In conclusion, the coordinate (3, 4) is the point of intersection of the given system of equations.
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Given the following model
Y=C+I0+g0
C=a+b (y-t)
t=d+ty
(a>0, 0 0, 0< t <1) t: income taxes
a) How many endogenous variables are there?
b) Find Y, C, and T
Answer:
Step-by-step explanation:
a) To determine the endogenous variables, we need to identify the variables that are determined within the model equation. In the given model, the endogenous variable is Y (output or national income).
b) Let's find Y, C, and T step-by-step:
Start with the equation Y = C + I0 + g0.
Substitute C from the equation C = a + b(y - T).
Y = (a + b(y - T)) + I0 + g0.
Substitute T from the equation T = d + tY.
Y = (a + b(y - (d + tY))) + I0 + g0.
Expand the equation:
Y = a + by - bd - btY + I0 + g0.
Rearrange the equation to isolate Y:
Y + btY = a + by - bd + I0 + g0.
Y(1 + bt) = a + by - bd + I0 + g0.
Y = (a + by - bd + I0 + g0) / (1 + bt).
Now, Y is expressed in terms of the exogenous variables a, b, d, I0, g0, and the endogenous variable Y itself, along with the parameter t.
To find C and T, we can substitute the obtained Y value back into the respective equations:
Substitute Y into the equation C = a + b(y - T):
C = a + b(y - T) = a + b(y - (d + tY)) = a + by - bd - btY.
C = a + by - bd - bt[(a + by - bd + I0 + g0) / (1 + bt)].
Now, C is expressed in terms of the exogenous variables a, b, d, I0, g0, and the endogenous variable Y, along with the parameter t.
Substitute Y into the equation T = d + tY:
T = d + tY = d + t[(a + by - bd + I0 + g0) / (1 + bt)].
Now, T is expressed in terms of the exogenous variables d, t, and the endogenous variable Y, along with the parameters a, b, I0, and g0.
It's important to note that in the given model, there is only one endogenous variable, Y (national income/output). C and T are determined based on the values of Y and the exogenous variables.
A trellis is a system of overlapping wooden slats
created for a vegetable or flower vine to grow on.
What must be the value of x so that the two slats will
be parallel? What is the angle measure at that
location? Show and explain all work using
mathematical language.
For the angles to be parallel, the value of x is of x = 28, and the angle is of 132º.
What is needed for the slats to be parallel?The angles need to have the same measure. Their measures are of 3x + 48 and 6x - 36, hence:
3x + 48 = 6x - 36
3x = 84
x = 84/3
x = 28.
Hence the measure of the angle is:
3x + 48 = 3 x 28 + 48 = 132º.
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