The Answer:
T = -26/5
How to solve this system of equations?
y = 7x + 10
y = -4x - 23
x=
y=
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Answer:
x = - 3, y = - 11
Step-by-step explanation:
Given the 2 equations
y = 7x + 10 → (1)
y = - 4x - 23 → (2)
Substitute y = 7x + 10 into (2)
7x + 10 = - 4x - 23 ( add 4x to both sides )
11x + 10 = - 23 ( subtract 10 from both sides )
11x = - 33 ( divide both sides by 11 )
x = - 3
Substitute x = - 3 into either of the 2 equations and evaluate for y
Substituting into (1)
y = 7(- 3) + 10 = - 21 + 10 = - 11
One advantage of the technique of multiple regression is that it allows the ___________ effects of the ____________ variables to be investigated.
One advantage of the technique of multiple regression is that it allows the individual effects of the independent variables to be investigated.
According to research, this method enables you to assess the impact of each variable on the dependent variable while controlling for the effects of other variables, which helps to provide more accurate insights and predictions. The researcher can incorporate all of these potentially significant components into one model by using multiple linear regression. The benefits of this strategy are that it might result in a more exact and detailed understanding of how each individual aspect is related to the outcome.
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One advantage of the technique of multiple regression is that it allows the individual effects of the independent variables to be investigated.
Multiple regression is a statistical technique used to analyze the relationship between a dependent variable and multiple independent variables.
It extends the concept of simple linear regression, which examines the relationship between a dependent variable and a single independent variable, to a scenario where there are multiple independent variables.
One advantage of multiple regression is that it enables the investigation of the individual effects of the independent variables on the dependent variable. In other words, it allows us to assess the contribution of each independent variable while controlling for the effects of other variables included in the model.
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Find & particular solution Yp of the following equation using the Method of Undetermined Coefficients. Primes denote the derivatives with respect to x
y" -y' - 2y = 8x + 5 A particular solution is Yp(x) = ?
(a) The particular solution, y_p is 7
(b) y_p is -4x
(c) y_p is -4x + 7
(d) y_p is 8x + (7/2)
To find a particular solution to a differential equation by inspection - is to assume a trial function that looks like the non-homogeneous part of the differential equation.
(a) Given y'' + 2y = 14.
Because the no non-homogeneous part of the differential equation, 14 is a constant, our trial function will be a constant too.
Let A be our trial function:
We need our trial differential equation y''_p + 2y_p = 14
Now, we differentiate y_p = A twice, to obtain y'_p and y''_p that will be substituted into the differential equation.
y'_p = 0
y''_p = 0
Substitution into the trial differential equation, we have.
0 + 2A = 14
A = 6/2 = 7
Therefore, the particular solution, y_p = A is 7
(b) y'' + 2y = −8x
Let y_p = Ax + B
y'_p = A
y''_p = 0
0 + 2(Ax + B) = -8x
2Ax + 2B = -8x
By inspection,
2B = 0 => B = 0
2A = -8 => A = -8/2 = -4
The particular solution y_p = Ax + B
is -4x
(c) y'' + 2y = −8x + 14
Let y_p = Ax + B
y'_p = A
y''_p = 0
0 + 2(Ax + B) = -8x + 14
2Ax + 2B = -8x + 14
By inspection,
2B = 14 => B = 14/2 = 7
2A = -8 => A = -8/2 = -4
The particular solution y_p = Ax + B
is -4x + 7
(d) Find a particular solution of y'' + 2y = 16x + 7
Let y_p = Ax + B
y'_p = A
y''_p = 0
0 + 2(Ax + B) = 16x + 7
2Ax + 2B = 16x + 7
By inspection,
2B = 7 => B = 7/2
2A = 16 => A = 16/2 = 8
The particular solution y_p = Ax + B
is 8x + (7/2)
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Match the solution set given in inequality with the best solution set given in interval notation
There you go
I hope this help you
Which shows 71. 38 in word form? O A seventy-one thirty-eighths O B. Seventy-one and thirty eighths O c. Seventy-one and thirty-eight tenths D. Seventy-one and thirty-eight hundredths E seventy-one and thirty-eight thousands
The number 71.38 can be written in word form as "seventy-one and thirty-eight hundredths." The correct answer is option D.
In decimal notation, the number 71.38 can be broken down into its whole number and decimal parts. The whole number part is 71, and the decimal part is 0.38.
In a decimal number, the digits to the right of the decimal point represent fractions of a whole. Each digit to the right of the decimal point has a place value that is a power of 10.
In word form, the decimal part 0.38 is read as "thirty-eight hundredths." Therefore, when combined with the whole number 71, the correct word form is "Seventy-one and thirty-eight hundredths."
Therefore option D is the correct answer.
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To convince ourselves that these triangles are congruent, what else do we need to know?
Answer:
AAS
angle, angle, and side, you did that
79+68=147
180(the sum of all three corner's angles)-147=33
angle, side, side or side side side,
Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.
isosceles triangle
The diameter of a circle is 30 ft. Find its area to the nearest whole number.
Answer:
\(\displaystyle 707\:ft.^2\)
Step-by-step explanation:
Split the diametre in half before proceeding:
\(\displaystyle \pi{r}^2 = A \\ \\ 15^2\pi = A \hookrightarrow 225\pi = A \hookrightarrow 706,85834706... = A \\ \\ \boxed{707 \approx A}\)
I am joyous to assist you at any time.
Can you help me I have no idea how to do this
Answer:
\((f + g)(x) = 7 - 6x\) --- (1)
\((f - g)(x) = 6x - 1\) -- (2)
\((f . g)(x) =4(5^x)\) ---- (3)
\((f / g)(x) = \frac{4}{5^x}\) ----- (4)
\((f + g)(x) = -7x-7\) --- (5)
\((f - g)(x) = 9x+ 9\) --- (6)
\((f . g)(x) = (-8)(x+1)^2\) --- (7)
\((f / g)(x) = -\frac{1}{8}\) ----- (8)
\(F(t) = \frac{9}{5}t^2 + 32\) ---- (9)
\(T(t) = (t - 2)^2 - 4\) --- (10)
Step-by-step explanation:
Given
\(f(x) = 3\)
\(g(x) = 4 - 6x\)
Solving (1): (f + g)(x)
\((f + g)(x) = f(x) + g(x)\)
So, we have:
\((f + g)(x) = 3 + 4 - 6x\)
\((f + g)(x) = 7 - 6x\)
Solving (2): (f - g)(x)
\((f - g)(x) =f(x) - g(x)\)
So, we have:
\((f - g)(x) =3 - (4 - 6x)\)
\((f - g)(x) =3 - 4 + 6x\)
\((f - g)(x) =-1 + 6x\)
\((f - g)(x) = 6x - 1\)
Given
\(f(x) = 4\)
\(g(x) = 5^x\)
Solving (3): (f . g)(x)
\((f . g)(x) =f(x) * g(x)\)
So, we have:
\((f . g)(x) =4 * 5^x\)
\((f . g)(x) =4(5^x)\)
Solving (4): (f / g)(x)
\((f / g)(x) = \frac{f(x)}{g(x)}\)
So, we have:
\((f / g)(x) = \frac{4}{5^x}\)
Given
f(x) = x + 1
g(x) = -8 - 8x
Solving (5): (f + g)(x)
\((f + g)(x) = f(x) + g(x)\)
So, we have:
\((f + g)(x) = x + 1 -8-8x\)
Collect Like Terms
\((f + g)(x) = x -8x+ 1 -8\)
\((f + g)(x) = -7x-7\)
Solving (6): (f - g)(x)
\((f - g)(x) = f(x) - g(x)\)
So, we have:
\((f - g)(x) = x + 1 -( -8-8x)\)
\((f - g)(x) = x + 1 +8+8x\)
Collect Like Terms
\((f - g)(x) = x +8x+ 1 +8\)
\((f - g)(x) = 9x+ 9\)
Solving (7): (f . g)(x)
\((f . g)(x) = f(x) . g(x)\)
So, we have:
\((f . g)(x) = (x+1) . (-8 - 8x)\)
Factorize
\((f . g)(x) = (x+1) .(-8) (1 + x)\)
Rewrite as:
\((f . g)(x) = (x+1) .(-8) (x+1)\)
\((f . g)(x) = (-8)(x+1) (x+1)\)
\((f . g)(x) = (-8)(x+1)^2\)
Solving (8): (f / g)(x)
\((f / g)(x) = \frac{f(x)}{g(x)}\)
So, we have:
\((f / g)(x) = \frac{(x+1)}{(-8-8x)}\)
Factorize
\((f / g)(x) = \frac{(x+1)}{-8(1+x)}\)
\((f / g)(x) = \frac{1}{-8}\)
\((f / g)(x) = -\frac{1}{8}\)
Solving (9):
From the question, we have that:
\(F(c) = \frac{9}{5}c + 32\)
\(C(t) = t^2\)
Required
Determine function F in terms of c
The implication of this question is to solve for \(F(c(t))\)
If \(F(c) = \frac{9}{5}c + 32\) and \(C(t) = t^2\),
Then
\(F(c(t)) = \frac{9}{5}*t^2 + 32\)
\(F(c(t)) = \frac{9}{5}t^2 + 32\)
This can be rewritten as:
\(F(t) = \frac{9}{5}t^2 + 32\)
Solving (10):
\(T(h) = h^2 - 4\)
\(h(t) = t - 2\)
Required
Find \(T(h(t))\)
If \(T(h) = h^2 - 4\) and \(h(t) = t - 2\), then
\(T(h(t)) = (t - 2)^2 - 4\)
This is gotten by substituting t -2 for h
The solution can be rewritten as:
\(T(t) = (t - 2)^2 - 4\)
A gardener will use up to 300 square feet for planting flowers and vegetables. He wants the area used for vegetables to be at least four times the area used for flowers. Let x denote the area (in square feet) used for flowers. Let y denote the area (in square feet) used for vegetables. Shade the region corresponding to all values of x and y that satisfy these requirements.
Answer:300
Step-by-step explanation:
Because the total area planted (240 square feet) is going to be composed of an area of flowers (x) and an area of vegetables, you can say x + y ≤ 240 (because he will use UP TO 240 square feet)
Because the area of vegetables will be AT LEAST twice the area of flowers, you can say y ≥ 2x
What is the scale factor from Figure A to Figure B?
Answer:
1/3
Step-by-step explanation:
Scale factor =Image/object
scale factor=Figure B/Figure A
Take any side
=>3/9=1/3
Which sequence is geometric?
•1, 5, 9, 13
•2, 6, 8, 10
•5, 7, 9, 11
•4, 8, 16, 32
Answer:
1,
Step-by-step explanation:
now z also a dk4k ak4 smka 4ml 4 LL
please help me! Ten men and 15 women apply for a job. All are equally qualified and 4 applicants are selected at random for hiring. Find the probability, to the nearest thousandth, of hiring exactly 3 women. FYI: i don't want links at all.
Answer:
3,600
Step-by-step explanation:
15 equality of 4 applicants which is subductive to the inequality of quotients.. Simplified to 3,600
3/4 - 4/3
How to solve??
Answer:
-7/12
Step-by-step explanation:
(3/4*3/3)(4/3*4/4)
9/12-16/12
9-6/12=-7/12
A computer monitor has a width of 14.60 inches and a height of 10.95 inches. What is the area of the monitor display in square meters? area How many significant figures should there be in the answer? 2 3 4 5
The area of the computer monitor display is approximately 0.103 square meters, with three significant figures.
The area of the monitor display in square meters is found by converting the measurements from inches to meters and then calculate the area.
The conversion factor from inches to meters is 0.0254 meters per inch.
Width in meters = 14.60 inches * 0.0254 meters/inch
Height in meters = 10.95 inches * 0.0254 meters/inch
Area = Width in meters * Height in meters
We calculate the area:
Width in meters = 14.60 inches * 0.0254 meters/inch = 0.37084 meters
Height in meters = 10.95 inches * 0.0254 meters/inch = 0.27813 meters
Area = 0.37084 meters * 0.27813 meters = 0.1030881672 square meters
Now, we determine the number of significant figures.
The measurements provided have four significant figures (14.60 and 10.95). However, in the final answer, we should retain the least number of significant figures from the original measurements, which is three (10.95). Therefore, the answer should have three significant figures.
Thus, the area of the monitor display in square meters is approximately 0.103 square meters, with three significant figures.
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Which equation has infinite solutions for x?
Answer:
Equation 3
Step-by-step explanation:
A line passes through the point (-8, 2) and has a slope of
5/4
Write an equation in slope-intercept form for this line.
Answer:
y = 5/4x + 12
Step-by-step explanation:
We already have the slope so just plug in x and y into the equation to find b (y=my+b) which I got 12.
can anyone tell my how they came up with the net force? (purple arrow)
Answer:
5 m/s
Step-by-step explanation:
1. 3² + 4² = 25
2. √25 = 5
line 0 ≤ x ≤ 10 cm, y = 3, z = 0 carries current 4 a along az. calculate h at the point (-1, 6, 0)
The value of h at the point (-1, 6, 0) is approximately 0.149 mm.
To calculate the value of h at the point (-1, 6, 0), we need to use the Biot-Savart Law which states that the magnetic field at a point due to a current-carrying conductor is proportional to the current and the length of the conductor.
Given that the current-carrying conductor is a line along az with current 4 A and coordinates 0 ≤ x ≤ 10 cm, y = 3, z = 0, we can express the position vector of any point on the conductor as r = xi + 3j, where i, j, and k are the unit vectors in the x, y, and z directions, respectively.
The magnetic field at the point (-1, 6, 0) due to the current-carrying conductor is given by the equation:
B = (μ₀/4π) * ∫(I dl x ẑ)/r²
where μ₀ is the magnetic constant, I is the current, dl is a small element of the conductor, ẑ is the unit vector in the z direction, and r is the distance from the element dl to the point (-1, 6, 0).
To calculate the integral, we need to express dl in terms of x and find the limits of integration. Since the conductor is along az, we have dl = dzk, where k is the unit vector in the z direction. Thus, the limits of integration are from z = 0 to z = 10 cm.
Substituting dl = dzk and r = |r - xi - 3j| into the equation above, we get:
B = (μ₀/4π) * ∫(I dz ẑ x ẑ)/(x² + (y - 3)² + z²)^(3/2)
Since the conductor is infinitely long, we can ignore the x-dependence in the denominator and integrate over z from 0 to 10 cm. The cross product of two unit vectors is zero, so we get:
B = (μ₀/4π) * ∫(I dz)/(y - 3)²
Plugging in the values of μ₀, I, and y = 3, we get:
B = (2 × 10^-7 Tm/A) * (4 A) * ln(10/3) ≈ 2.67 × 10^-6 T
Finally, we can use the formula for the magnetic field of a long straight wire to find h at the point (-1, 6, 0):
B = μ₀I/(2πh)
Solving for h, we get:
h = μ₀I/(2πB) ≈ 1.49 × 10^-4 m or 0.149 mm
Therefore, the value of h at the point (-1, 6, 0) is approximately 0.149 mm.
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You’ve paid $120 for membership to a racquetball club. Court time is $5 per hour. Let x = the number of hours you play.
Part a: Write an equation that represents the total cost C.
Part b: Write an equation that represents the average cost A per hour.
Part c: Use the graph of the model shown below to estimate the number of hours you must play before the average cost per hour drops to $10 per hour.
Part a - C = 120 + 5x
Part b - A = [120 + (5 x (x)] / x
Part c - The number of hours you must play before the average cost per hour drops to $10 per hour is 15 hours.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
We have,
Membership fees = $120
Cost per hour = $5
x = number of hours
The equation that represents the total cost:
C = 120 + 5x
The equation that represents the average cost per hour:
A = [120 + (5 x (x)] / x
From the graph, we can assume that the y-axis indicates the average cost per hour and the x-axis indicates the number of hours.
We see that in 16 hours the average cost per hour is $10 so the number of hours to play before the average cost per hour drops to $10 per hour is 15 hours.
Thus,
Part a - C = 120 + 5x
Part b - A = [120 + (5 x (x)] / x
Part c - The number of hours you must play before the average cost per hour drops to $10 per hour is 15 hours.
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1.564 rounded to the nearest hundredth
it would be 1.56
hope this helps :)
Answer:
1,600 / 1.56
Step-by-step explanation:
Just round the 564 to a 600 :)
or the 4 just *poof*
PLS HELP FAST IM BEING TIMED!!!
An airplane can seat up to 175 passengers. The airline has already sold 87 tickets for a flight on the airplane. Which graph represents the solution to the inequality that finds the number of tickets the airline can still sell?
A number line going from 80 to 91. A solid circle is at 88. Everything to the left of the circle is shaded.
A number line going from 80 to 91. An open circle is at 88. Everything to the left of the circle is shaded.
A number line going from 80 to 91. An open circle is at 87. Everything to the right of the circle is shaded.
A number line going from 80 to 91. A closed circle is at 87. Everything to the right of the circle is shaded.
Answer:
C
Step-by-step explanation:
hope it helps
Answer:
The answer is C
Step-by-step explanation:
I keep seeing people put c so i am pretty sure that right
20 POINTS
Delaney would like to make a 5 lb nut mixture that is 60% peanuts and 40% almonds. She has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds. Let p represent the number of pounds of peanuts needed to make the new mixture, and let m represent the number of pounds of the 20% peanuts-80% almonds mixture.
(a) What is the system that models this situation? (8 points)
(b) Which of the following is a solution to the system
2 lb peanuts and 3 lb mixture;
2.5 lb peanuts and 2.5 lb mixture;
4 lb peanuts and 1 lb mixture? Show your work. (7 points)
ONLY ANSWER WITH WORK AND ANSWER IF YOU KNOW, MAKE IT EASY
Answer:
lb peanuts and 3 lb mixturehope it helps to is the system that models this situation? (8 points)(b) Which of the following is a solution to the system2 lb peanuts and 3 lb mixture;2.5 lb peanuts and 2.5 lb mixture;4 lb peanuts and 1 lb mixture? Show your work. (7 points)ONLY ANSWERnxjdhdhgdWe always evaluate just the specific result obtained in the experiment. True or False.
False. We do not always evaluate just the specific result obtained in an experiment.
In scientific experiments, we do not just evaluate the specific result obtained in the experiment. Instead, we evaluate the entire experimental design, including the methods used, the sample size, and the statistical analysis.
For example, suppose a researcher conducts an experiment to test a new drug's effectiveness in treating a particular disease. If the result of the experiment shows that the drug is effective, the researcher cannot simply conclude that the drug works based on this one result. Instead, the researcher must evaluate the experimental design to ensure that the result is reliable and valid.
This evaluation includes examining the study's methods to determine if they are appropriate and if the sample size is large enough to produce meaningful results. It also involves statistical analysis to assess the strength of the relationship between the treatment and the outcome and to determine if the result is statistically significant.
Therefore, evaluating just the specific result obtained in an experiment is not sufficient. We must also consider the experimental design, methods used, sample size, and statistical analysis to draw valid and reliable conclusions from the experiment.
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Abdul made $252 for 12 hours of work.At the same rate,how many hours would he have to work to make $105
Answer:
5 hours
Step-by-step explanation:
252 divided by 12= 21
21x5=105
1. A rectangular lot measures 12 m long and 10 m wide.
A new car is purchased for 21300 dollars. The value of the car depreciates at 5.75%
per year. To the nearest tenth of a year, how long will it be until the value of the car is
9200 dollars?
Answer: 14.2
Answer:
14.2
Step-by-step explanation:
You make the equation: y = 21300 (0.9425)^t
Now the y value should be 9200 so you set that equal to y. 9200/21300= 0.9425^t
t=14.2 years
Hope this helps!
Quadrilateral RUST has a vertex at R (1,5).
Answer:
D
Step-by-step explanation:
A P E X
Answer:
D (6, 9)
Step-by-step explanation:
Two 40-ounce jars of peanut butter cost $10.34. Rita wants to buy twelve 40-ounce jars of peanut butter. By what scale factor should Rita multiply $10.34 to determine the cost of 12 jars of peanut butter? ( HELP THIS IS IMPORTANT I NEED ANSWER RN)
The cost price of 12 , 40-ounce of peanut butter by scale factor should Rita multiply is 6 to $10.34 to determine the cost of 12 jars of peanut butter
In the above question, It is given that
The cost price of two 40-ounce jars of peanut butter = $10.34
Rita wants to buys twelve 40-ounce jars of peanut butter
We need to find, the cost price of 12 , 40-ounce of peanut butter by scale factor should Rita multiply $10.34 to determine the cost of 12 jars of peanut butter
So, as two 40-ounce jars of peanut butter costs $10.34
then, four 40-ounce jars of peanut butter costs = $10.34 x 2 = $20.68
Similarly, 12 40-ounce jars of peanut butter costs = $10.34 x 6 = $62.04
Therefore, the cost price of 12 , 40-ounce of peanut butter by scale factor should Rita multiply is 6 to $10.34 to determine the cost of 12 jars of peanut butter
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Please Help! For the table to the right, represent the relationship using words and an equation. X: 0123 Y: -3159 Write a equation.
The equation represented by the table in the right is y = 4x - 3
How to solve an equationAn equation is used to show the relationship between two or more numbers and variables.
The equation of a linear is given as:
y = mx + b
Where m is the rate of change and b is the initial value
The table have the pairs (0, -3), (1, 1), (2, 5) and (3, 9).
Using the point (0, -3) and (1, 1):
y - (-3) = [(1 - (-3))/(1 - 0)](x - 0)
y + 3 = 4x
y = 4x - 3
The equation is y = 4x - 3
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for every 1/2 cup portion of baby cereal you will need 4 oz of milk. how many ounces of milk will you need to prepare 20 portions
Answer:
80 oz
Step-by-step explanation:
20 portions times 4 oz is 80 oz