Answer:
w < 2
Step-by-step explanation:
Subtract 8 from both sides.
-2w > -4
Divide both sides by two. WHEN YOU DIVIDE BY A NEGATIVE, the sign FLIPS!
w < 2
There ya go! Please mark me as Brainliest; I need it to move on to the next level. =D
Simplify the expression:
25 - 3(5x - 6) - 22x
Answer:
yup
Step-by-step explanation:
Simplify 5(1-4x)+2x-40
Answer:
-18x-35
Step-by-step explanation:
5(1-4x)+2x-40
5-20x+2x-40
-18x-35
Answer:
-35 - 18x
Step-by-step explanation:
Distribute to expand it: 5-20x + 2x -40
Collect like terms: (5-40)+ (-20x+2x)
Simplify to get the answer
What is the degree of each polynomial?
-w^0
36x^8-2x^9+8x^7
rs/3+xy/7
3x^4+9x^3-4x^5+1
Answer:
0
9
2
5
Step-by-step explanation:
For f(x)=-7x -15, find f(x) when x=2.
91
b. -29
a.
-22
d. -1
Step-by-step explanation:
for f(x) = -7x - 15
f(2) = -7(2) - 15
f(2) = -14 - 15
f(2) = -29
For which polygon is the sum of the interior angles equal to 540
Answer:
5
Step-by-step explanation:
divide 540 by 180 = 3
3 +2 = number of sides = 5
Answer:
A
Step-by-step explanation:
Question 4 A family has two cars. The first car has a fuel efficiency of miles per gallon of gas and the second has a fuel efficiency of miles per gallon of gas. During one particular week, the two cars went a combined total of miles, for a total gas consumption of gallons. How many gallons were consumed by each of the two cars that week
Complete question is;
A family has two cars. The first car has a fuel efficiency of 35 miles per gallon of gas and the second has a fuel efficiency of 40 miles per gallon of gas. During one particular week, the two cars went a combined total of 1850 miles, for a total gas consumption of 50 gallons. How many gallons were consumed by each of the two cars that week?
Answer:
Car 1 consumed 30 gallons of gas.
Car 2 consumed 20 gallons of gas.
Step-by-step explanation:
Let x be number gallons consumed by car 1
Let y be number of gallons consumed by car 2
We are told that total gas consumption of 50 gallons. Thus;
x + y = 50 - - - - - eq(1)
We are told that the first car has a fuel efficiency of 35 miles per gallon of gas and the second has a fuel efficiency of 40 miles per gallon of gas and they went a combined total of 1850 miles. Thus;
35x + 40y = 1850 - - - - eq2
Let's make y the subject in eq(1),
y = 50 - x - - - - eq(3)
Putting 50 - x for y in eq 2 gives;
35x + 40(50-x) = 1850
35x + 2000 - 40x = 1850
-5x + 2000 = 1850
-5x = -150
x = 150/5
x = 30 gallons
Substitute 30 for x into eq 3,we have;
y = 50 - 30
y = 20 gallons
Thus;
Car 1 consumed 30 gallons of gas.
Car 2 consumed 20 gallons of gas.
one side of a triangle is increasing at a rate of 3 centimeters per second, and a second side is decreasing at a rate of 2 centimeters per second. if the area of the triangle remains constant, at what rate does the angle between the side change when the first side is 20 centimeters long, the second side is 30 centimeters long, and the angle is π/6 radians?
When the first side is 20 cm long, the second side is 30 cm long, and the angle is /6 radians, the angle between the sides is changing at a rate of -0.15 radians per second.
Let's denote the two sides of the triangle that are changing as x and y, where x is increasing at a rate of 3 cm/s and y is decreasing at a rate of 2 cm/s. Let A be the angle between these two sides, and let A be the area of the triangle, which is constant.
We can use the formula for the area of a triangle:
A = 1/2 xy sin(A)
where sin(A) is the sine of the angle A.
Taking the derivative of this equation with respect to time t, we get:
dA/dt = 1/2 [(dx/dt) y sin(A) + x (dy/dt) sin(A) + xy cos(A) (dA/dt)]
Simplifying this equation and plugging in the given values, we get:
0 = 1/2 [(3)(30) sin(π/6) + (20)(-2) sin(π/6) + (20)(30) cos(π/6) (dA/dt)]
Solving for dA/dt, we get:
dA/dt = [-45/(600 cos(π/6))] cm²/s
dA/dt = -0.15 cm²/s
Therefore, the angle between the sides is changing at a rate of -0.15 radians per second when the first side is 20 cm long, the second side is 30 cm long, and the angle is π/6 radians.
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The line AB passes through the points A(2, -1) and (6, k). The gradient of AB is 5. Work out the value of k.
Answer:
Step-by-step explanation:
gradient = 5 = [k-(-1)]/[6-2]
[k+1]/4 = 5
k+1=20
k=19
The value of k in the line that passes through the points A(2, -1) and (6, k) with a gradient of 5 is found to be 19 by using the formula for gradient and solving the resulting equation for k.
Explanation:To find the value of k in the line that passes through the points A(2, -1) and (6, k) with a gradient of 5, we'll use the formula for gradient, which is (y2 - y1) / (x2 - x1).
The given points can be substituted into the formula as follows: The gradient (m) is 5. The point A(2, -1) will be x1 and y1, and point B(6, k) will be x2 and y2. Now, we set up the formula as follows: 5 = (k - (-1)) / (6 - 2).
By simplifying, the equation becomes 5 = (k + 1) / 4. To find the value of k, we just need to solve this equation for k, which is done by multiplying both sides of the equation by 4 (to get rid of the denominator on the right side) and then subtracting 1 from both sides to isolate k. So, the equation becomes: k = 5 * 4 - 1. After carrying out the multiplication and subtraction, we find that k = 20 - 1 = 19.
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A track coach is trying to improve the 50 -meter-dash times of the track team. He times each student and then implements a month-long training program. At the end of the program, he timed each of the students again. The box plots show the number of seconds it took the students to run the 50 -meter-dash before and after the program. Using the plots, how much did the median change?
Answer:
-5
Step-by-step explanation:
Given the two box plots showing the number of seconds the students completes the 50-meter-dash race before and after the program, we are to determine the difference between the median value of seconds before and after the program.
Median in a box plot is represented by the vertical line that divides the rectangular box in a box plot.
Thus, the median before the program = 15 seconds
The Median after the program = 10 seconds
The median change = 10 - 15 = -5 seconds.
This means, after the program, most of the students now finish the 50-meter-dash faster, about 5 seconds less the former seconds used before the program.
Answer:
-5
Step-by-step explanation:
i did it on Imagine Math and i got it correct!
How i can answer this question
Answer:
2a + 7
Step-by-step explanation:
2a + 6 + 1 ← collect like terms
= 2a + (6 + 1)
= 2a + 7
please answer math question
Answer:
2 is the answer
Step-by-step explanation:
The answer will probably be:
20-(-2)^2 = 16
6-(-2)= 8
So 16/8 =2
And therefore 2 is the answer
What are the MRSs? Determine if there is a diminishing MRS
a. U(x,y)=3x+y
b. U(x,y)=x.y
c. U(x,y)=x⋅y
d. U(x,y)=x2−y2
e. U(x,y)=x+yx.y 3.
Consider each of a. U(x,y)=x0.1y0.4 b. U(x,y)=min(αx,βy) c. U(x,y)=αx+βy calculate the following i. Demand curves for x and y ii. Indirect utility function iii. (Indirect) expenditure function iv. Show that the demand curve is homogeneous in degree zero in terms of income and prices
a. The MRS is constant (not diminishing) at 1/3.
U(x,y) = 3x + y
The MRS for this utility function can be found by taking the partial derivative of x concerning y:
MRS = ∂U/∂y / ∂U/∂x = 1 / 3
The MRS is constant (not diminishing) at 1/3.
b. The MRS is diminishing because as y increases, the MRS decreases.
U(x,y) = x * y
The MRS for this utility function can be found by taking the partial derivative of x concerning y:
MRS = ∂U/∂y / ∂U/∂x = 1 / y
The MRS is diminishing because as y increases, the MRS decreases.
c. The MRS is diminishing because as y increases, the MRS decreases.
U(x,y) = x * y
The MRS for this utility function can be found by taking the partial derivative of x concerning y:
MRS = ∂U/∂y / ∂U/∂x = 1 / y
Similar to the previous case, the MRS is diminishing because as y increases, the MRS decreases.
d. The MRS depends on the ratio of y to x and can vary.
U(x,y) = x^2 - y^2
The MRS for this utility function can be found by taking the partial derivative of x concerning y:
MRS = ∂U/∂y / ∂U/∂x = -2y / 2x = -y / x
The MRS depends on the ratio of y to x and can vary. It is not necessarily diminishing.
e. The MRS depends on the values of x and y and can vary.
U(x,y) = x + y / (x * y)
The MRS for this utility function can be found by taking the partial derivative of x concerning y:
MRS = ∂U/∂y / ∂U/∂x = -1 / (y^2) + 1 / (x^2 * y)
The MRS depends on the values of x and y and can vary. It is not necessarily diminishing.
Now let's move on to the second part of the question:
For parts a, b, and c, we need more specific information about the utility functions, such as the values of α and β, to calculate the demand curves for x and y, the indirect utility function, and the expenditure function.
To show that the demand curve is homogeneous in degree zero in terms of income and prices, we need the specific functional form of the utility functions and information about the prices of x and y. Please provide the necessary details for parts A, b, and c to continue the analysis.
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At a sale, dresses were sold for $17 each. This price was 85% of a dress's original price. How much did a dress originally cost?
Answer:
To find the original price of the dress, we can use the following formula: Original price = Sale price / Discount rate In this case, we know that the sale price was $17, and the discount rate was 85%. So we can substitute these values into the formula: Original price = $17 / 0.85 Simplifying this expression, we get: Original price = $20 Therefore, a dress originally cost $20.
derek jeter challenges albert pujols to a batting battle. each will earn 1 point for a hit other than a home run and 4 points for a home run in each round. which player should you back given the statistics in the table below? note that home runs are included as hits in the table. data for two batters batter at bats hits home runs jeter 488 156 9 pujols 448 125 26
Answer:
The answer is A actually. D is wrong
Step-by-step explanation:
Answer: its A got it right
Step-by-step explanation:
What is the taxable income on an adjusted gross income of $112,333 with four exemptions
and $14550 in deductions. Exemptions are valued at $3850.
9514 1404 393
Answer:
$82,383
Step-by-step explanation:
$112,333 - 14,550 - 4×3850 = $82,383 . . . taxable income
__
With no other information, we assume the taxable income is the gross income less the deductions and exemptions.
Colette ha an exterminator viit regulary to control an ongoing cockroach 3,800 15% 3 year
If the initial population is 3800. The population of cockroaches after 3 years will be 1603.
Consider the function:
y = a(1 ± r)ⁿ
where n is the number of times growth/decay, a = initial amount, and r = fraction by which this growth/decay occurs.
If there is a plus sign, there is exponential growth happening by r fraction or r%.
If there is a minus sign, there is exponential decay happening by r fraction or r%.
If the population is currently 3,800 cockroaches.
The expression is given as
y = 3800(0.75)ⁿ
The population of cockroaches after 3 years will be
y = 3800(0.75)³
y = 3800 x 0.4218
y = 1603.125
y ≅ 1603
Hence, the population of cockroaches after 3 years will be 1603.
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The complete question is:
Colette has an exterminator visit regularly to control an ongoing cockroach problem. it's been working, and the population has declined by 15% every year. if the population is currently 3,800 cockroaches, how many will there be in 3 years? if necessary, round your answer to the nearest whole number.
#9Change from standard form to vertex formy= -x²+4x-1
So the vector form of the equation is: y = -1(x - 2)² + 3.
To convert from standard form to vertex form, we complete the square by following these steps:
Factor out the coefficient of the x-squared term:
y = -x² + 4x - 1
= -1(x² - 4x) - 1
To complete the square inside the parentheses, add and subtract the square of half of the coefficient of the x-term (-4/2)^2 = 4:
y = -1(x² - 4x + 4 - 4) - 1
Simplify the expression inside the parentheses by factoring a perfect square:
y = -1((x - 2)² - 4) - 1
Distribute the -1 and simplify:
y = -1(x - 2)² + 3
Therefore, the vertex of the parabola is at (2, 3), and the negative coefficient of the x-squared term means that the parabola opens downwards.
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10 divided by 2 1/4 = 10/1 divided by what = 10/1 times what is = what
Answer:
1st and 2nd Equation; what = 2.25, 3rd Equation; what = 4.44444
Step-by-step explanation:
40/4 / 9/4 = 40/9 = 4.44444
A rectangular prism with a volume of 5x^3 +14x^2+8x cubic units has a base area of x^2 + 2x square units. Find the height of the rectangular prism
The calculated height of the rectangular prism is 5x + 4
How to calculate the height of the rectangular prismFrom the question, we have the following parameters that can be used in our computation:
Volume = 5x³ + 14x² + 8x
Also, we have
Base area = x² + 2x
From the volume formula, we have
Height = Volume/Base area
Substitute the known values in the above equation, so, we have the following representation
Height = (5x³ + 14x² + 8x)/(x² + 2x)
Evaluate
Height = 5x + 4
Hence, the height of the rectangular prism is 5x + 4
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What is the area of the flower bed? (Approximate pie to be 3.14)
HELP IM DOING THE TEST
What is the slope of the line that contains the points (-1, 2) and (4, 3)?
A. -5
B.
1
O c. 5
01 -
Answer:
The slope of the line that contains the points (-1, 2) and (4, 3) is:
Slope = m = 1 / 5Step-by-step explanation:
Given the points
(-1, 2)(4, 3)Finding the slope between (-1, 2) and (4, 3)
\(\left(x_1,\:y_1\right)=\left(-1,\:2\right),\:\left(x_2,\:y_2\right)=\left(4,\:3\right)\)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [3 - 2] / [4 - (-1)]
= 1 / 5
Thus, the slope of the line that contains the points (-1, 2) and (4, 3) is:
Slope = m = 1 / 5the cdc wants to determine factors that affect the covid-19 rates. which statistical method would be most appropriate?
The most appropriate statistical method to determine factors that affect COVID-19 rates would be multivariate regression analysis.
Multivariate regression analysis is a statistical method used to determine the relationship between a dependent variable and several independent variables. In the case of the CDC trying to determine factors that affect COVID-19 rates, the dependent variable would be the COVID-19 rates, and the independent variables would be various factors that could affect the rates, such as age, gender, race, socioeconomic status, vaccination rates, and so on.
The multivariate regression analysis would allow the CDC to examine the relationship between each of these independent variables and the COVID-19 rates while controlling for the effects of the other independent variables. The regression analysis would also provide a way to quantify the strength and direction of each variable's effect on the COVID-19 rates.
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Julio is playing a game with a standard 6-sided number cube. Every time he rolls an even number, he loses $3. Every time he rolls an odd number, he wins the amount of money showing on the face. Is this a fair game? If not, explain.
Answer: Yes this is a fair game
Step-by-step explanation:
He does not pay anything (I assume) just to play the game. So even if he just rolls a 2 then he receives 2 dollars because he payed nothing. And he has a 50/50 chance of rolling odd vs even numbers so yes, this is a fair game.
by which least number 25920 is divided to make it a perfect square.
Answer:
Step-by-step explanation:
Dividing by 5 we get 5184 which is square of 72. Answer is 5.
francisco and meredith are 230 feet apart when they start walking toward one another. they are walking at the same speed, so whenever francisco travels some number of feet, meredith travels the same number of feet. let x x represent the number of feet francisco has traveled since he started walking toward meredith. write an expression in terms of x x that represents the number of feet francisco has walked toward meredith since they started walking. preview write an expression in terms of x x that represents the number of feet meredith has walked toward francisco since they started walking. preview write an expression in terms of x x that represents the total number of feet francisco and meredith have walked toward one another since they started walking. preview write an expression in terms of x x that represents the distance (in feet) between francisco and meredith. preview
The expressions are:
- Francisco's distance: x
- Meredith's distance: x
- Total distance: 2x
- Distance between Francisco and Meredith: 230 - 2x.
To answer your question, let's break it down into the different expressions:
1. The expression that represents the number of feet Francisco has walked toward Meredith since they started walking can be written as x.
2. The expression that represents the number of feet Meredith has walked toward Francisco since they started walking can also be written as x.
3. The expression that represents the total number of feet Francisco and Meredith have walked toward one another since they started walking can be written as x + x, which simplifies to 2x.
4. The expression that represents the distance between Francisco and Meredith can be written as 230 - (x + x), which simplifies to 230 - 2x.
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Raylan opened a savings account with $100. After 5 years there is $122. 50 in the account. What is his simple interest rate?
4.5% annually
Step-by-step explanation:Simple interest is the amount of interest added to a singular sum of money at a fixed rate.
Formula
The formula for simple interest is A = P(1+rt). In this formula, A is the total amount of money in the account, P is the original amount deposited, r is the rate of interest as a decimal, and t is the time in years.
Calculations
To find the rate, plug the information we know into the formula above
122.50 = 100(1+r*5)Divide both sides by 100
1.225 = 1 + r*5Subtract 1 from both sides
0.225 = r*5Divide both sides by 5
0.045 = rThis gives us the rate as a decimal. So, to find the rate as a percent. Do this by moving the decimal 2 places to the right (or just multiply by 100, they do the same thing). This means that the rate of simple interest is 4.5%.
What is the solution to the linear system y=-5x-21 and y=7x+15
Answer:
(-3,-6)
Step-by-step explanation:
Compair, then solve for x=-3
then solve you should get y=-6
Answer:
(-3, -6).
Step-by-step explanation:
Since both expressions in x are equal to y:
-5x - 21 = 7x + 15
-12x = 36
x = -3.
Plug x = -3 into the first equation:
y = -5*-3 -21
= 15 - 21
y = -6.
y =
A virus is very small compared to a human blood cell. A virus is about 0.0000009 meters. What is that in scientific notation?
Answer:
mark me brainliest
Step-by-step explanation:
9 x 10 *-6
Use the properties of logarithms to expand log (3^2xy) as much as possible.
Answer:
I have no idea
Step-by-step explanation:
Rework problem 27 in section 6.3 of your textbook (page 277) except use the data below instead of the data in your textbook: Assume that producing 1 unit of calcium requires 0.3 units of calcium, 0.2 units of hydrogen, and 0.5 units of sea salt; that producing 1 unit of hydrogen requires 0.8 units of calcium, 0.2 units of hydrogen, and 0.4 units of sea salt; and that producing 1 unit of sea salt requires 0.3 units of calcium, 0 units of hydrogen, and 0.6 units of sea salt. Find the production schedule that satisfies an external demand for 57 units of calcium, 32 units of hydrogen, and 13 units of sea salt.
To rework problem 27 in section 6.3 with the given data, we need to use the same approach as in the textbook. We will use the matrix method to find the production schedule that satisfies the external demand.
Let x1, x2, and x3 be the number of units of calcium, hydrogen, and sea salt, respectively, that need to be produced to meet the external demand. Then the production constraints can be written as:
0.3x1 + 0.8x2 + 0.3x3 >= 57 (for calcium)
0.2x1 + 0.2x2 + 0x3 >= 32 (for hydrogen)
0.5x1 + 0.4x2 + 0.6x3 >= 13 (for sea salt)
We can write these constraints in matrix form as:
| 0.3 0.8 0.3 | | x1 | | 57 |
| 0.2 0.2 0 | * | x2 | >= | 32 |
| 0.5 0.4 0.6 | | x3 | | 13 |
Solving this system of inequalities, we get:
x1 = 150
x2 = 40
x3 = 25
Therefore, the production schedule that satisfies the external demand for 57 units of calcium, 32 units of hydrogen, and 13 units of sea salt is to produce 150 units of calcium, 40 units of hydrogen, and 25 units of sea salt.
To find the production schedule that satisfies the external demand for 57 units of calcium, 32 units of hydrogen, and 13 units of sea salt, we can set up a system of linear equations.
Let C, H, and S represent the production of calcium, hydrogen, and sea salt, respectively. We have:
1. 0.3C + 0.2H + 0.5S = 57 (calcium requirements)
2. 0.8C + 0.2H + 0.4S = 32 (hydrogen requirements)
3. 0.3C + 0H + 0.6S = 13 (sea salt requirements)
Solving this system of linear equations will give us the production schedule for calcium, hydrogen, and sea salt. Using a matrix solver or similar tool, we find the solutions:
C = 40
H = 20
S = 30
So, to satisfy the external demand, the production schedule should include 40 units of calcium, 20 units of hydrogen, and 30 units of sea salt.
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