Answer:
coffecient of y is -3
hope it helps you
Step-by-step explanation:
A condominium owner pays property taxes of $2,000 per year. If taxes are figured
at a rate of $1.25 for every $100 in value, what is the value of his condominium?
Step-by-step explanation:
the tax rate gives us a ratio of tax amount to value.
this ratio (in our case 1.25/100) is constant for any value.
therefore, when we know how many $1.25 units are in $2000, we know that there are exactly as many $100 units in the value.
in other words, we multiply
1.25/100 × f/f
so that the numerator reaches the total of $2000 of taxes. and then the enumerator gives us the total value.
f = 2000 / 1.25 = 1600
so, we get
1.25/100 × 1600/1600 = 2000 / 160000
so, the value of the condominium is
value = $160,000
D. Which transformations (vertical shift, horizontal shift, dilations, and reflections) change the domain of a function.
Support your answers with equations and graphs.
The transformations that change the domain of a function are given as follows:
Horizontal shift.Dilation.Reflection over the y-axis.What is the domain of a function?The domain of a function is defined as the set containing all the values assumed by the independent variable x of the function, which are also all the input values assumed by the function.
Hence we must look at transformations that change the values of x of the function, which are given as follows:
Horizontal shift, which are f(x + a) and f(x - a).Dilation, which are f(ax).Reflection over the y-axis, which is f(-x).Learn more about domain and range at https://brainly.com/question/26098895
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Find the area of the figure below.
Enter the answer as square inches.
Answer:
42
Step-by-step explanation:
Rectangle: A = 6 x 5 = 30
Triangle: A = 1/2(6 x 4) = 12
Area of figure: 30 + 12 = 42
Select all the situations that describe a probability of 1/6 of drawing a red marble out the bag.
(A) 1 red, 6 yellow, 6 green, 6 blue, 6 white
(B) 3 red, 4 yellow, 4 green, 4 blue, 3 white
(C) 4 red, 5 yellow, 5 green, 4 blue, 6 white
(D) 6 red, 6 yellow, 6 green, 6 blue, 6 white
6 red, 4 yellow, 8 green, 6 blue, 12 white
Determine whether AB and XY are parallel, perpendicular, or neither. Graph each line to verify your answer. A(8, 1), B(-2, 7), X(-6, 2), Y(-1, 1)
The slope of the line AB and XY is different. Then the line AB and XY is neither parallel nor perpendicular. The lines are intersecting line.
What is the slope?The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall and the difference between the abscissa is called run.
The slope of the line is given as,
m = (y₂ - y₁) / (x₂ - x₁)
The points are given as,
A(8, 1), B(-2, 7), X(-6, 2), Y(-1, 1)
The slope of line AB is given as
m₁ = (7 - 1) / (-2 - 8)
m₁ = 6 / (-10)
m₁ = - 0.6
The slope of line XY is given as
m₂ = (1 - 2) / (-1 + 6)
m₂ = - 1 / (5)
m₂ = - 0.2
The slope of the line AB and XY is different. Then the line AB and XY is neither parallel nor perpendicular. The lines are intersecting line.
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If one inch is equivalent to 2.54 cm, then how many inches are there in 20.8 cm?
Answer:
8.18897637795
Step-by-step explanation:
20.8 divided by 2.54 equals 8.2. So 8.2 inches is you answer.
Answer:
1 inch =2.54cm
number of inches in 20.8 = 20.8/2.54 = 8.1889 inches
hope this will help you
Write the complete factorization of 22xy^2
Answer:
2 * 11 * x * y * y
Step-by-step explanation:
The numerical part is 22, whose prime factor form is: 2 * 11
Then the complete factorization of 22 x y^2 is:
2 * 11 * x * y * y
The complete factorization of \(22xy^2\) is \(2 \times 11 \timesx \times y \times y\)
Given that,
The equation is \(22xy^2\)
Based on the above information, the calculation is as follows:
Here the numerical part should be 22 whose prime factor should be 2 and 11.
Now the complete factor should be \(2 \times 11 \timesx \times y \times y\)
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A test is worth 60 points. Multiple choice questions are
worth 2 points, and
short-answer questions are worth 5 points. If the test has
15 questions, how
many multiple-choice questions are there?
A. m+ s = 60
B. m+ s = 15
C. m:s= 15
D. 2m + 5s = 15
Answer:
2m + 5s = 15
I hope it helps.
have a great day.
6 more than the product of a number x and 5 is 21
Answer:
x = 3
Step-by-step explanation:
6 + 5x = 21
5x = 15
x = 3
I hope this helps
:)
Find the perimeter and the area of the polygon with the given vertices.
N (0,2), P (5,2), Q (5,5), R (0,5).
Answer:
the perimeter is "16" and the area is "15"
A wire is 71cm long . you wish to cut it into two pieces. One piece is bent into shape of triangle with legs of equal length .The piece is to be bent into shape of circle .
To solve this problem, we need to find the lengths of the two pieces when the wire is cut into two parts. Let's denote the length of each leg of the triangle as\(\(x\).\)
The perimeter of the triangle is the sum of the lengths of its three sides. Since the two legs are equal in length, the perimeter can be expressed as \(\(2x + x = 3x\).\)
The length of the wire is given as 71 cm, so we have the equation \(\(3x = 71\).\)
Solving for\(\(x\),\) we divide both sides of the equation by 3:
\(\(x = \frac{71}{3}\).\)
Now that we know the length of each leg of the triangle, we can proceed to the next part of the problem.
The circumference of a circle is given by the formula \(\(C = 2\pi r\)\), where\(\(C\)\)is the circumference and r is the radius. In this case, the wire of length xis bent into the shape of a circle, so we can set the circumference equal to x and solve for the radius r:
\(\(x = 2\pi r\).\)
Substituting the value of x we found earlier, we have:
\(\(\frac{71}{3} = 2\pi r\).\)
Solving for r, we divide both sides of the equation by \(\(2\pi\):\)
\(\(r = \frac{71}{6\pi}\).\)
Therefore, the two pieces of wire will have lengths\(\(\frac{71}{3}\)\)cm and the radius of the circle will be\(\(\frac{71}{6\pi}\)\) cm.
In summary, when the 71 cm wire is cut into two pieces, one piece will have a length o\(\(\frac{71}{3}\)\)cm, which can be bent into the shape of an equilateral triangle with legs of equal length, and the other piece can be bent into the shape of a circle with a radius of \(\(\frac{71}{6\pi}\)\) cm.
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A fence with 2 gates in it surrounds a lion enclosure.
Each gate is 4 m wide.
an image
What is the length of the fence around the enclosure not including the gates?
The length of the fence around the enclosure not including the gates is:2l + 2w + 8 m
To find the length of the fence around the enclosure, we need to first find the perimeter of the rectangle and then subtract the combined length of the two gates from it.
Let's assume the length of the rectangle is 'l' and the width is 'w'.
From the given data, we know that each gate is 4 m wide.
Therefore, the width of the rectangle is:
Width = w + (4 m + 4 m) = w + 8 m
The perimeter of the rectangle is:
P = 2l + 2(w + 8 m) = 2l + 2w + 16 m
Now, we need to subtract the combined length of the two gates from the perimeter:
P - 2 × 4 m = 2l + 2w + 16 m - 8 m = 2l + 2w + 8 m
So, the length of the fence around the enclosure not including the gates is:2l + 2w + 8 m
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find the sum of 3x² + 5x - 1 and x² - 2x -7
Daysha's plant grew 100 of a centimeter. India's plant grew of a centimeter.
How many centimeters did the plants grow in all? Write your answer as a decimal.
The total centimeters that the plants grew in all was 200 centimeters or 2.00 centimeters when written as a decimal.
What is centimetres?Centimetres (cm) is a unit of length in the metric system, equal to one-hundredth of a metre. It is commonly used in everyday life, for example when measuring the height of a person or the size of a room. Centimetres are also used in scientific and engineering measurements, such as the size of an object or the distance between two points. Centimetres are divided into millimetres, which are one-thousandth of a metre.
This can be written as a decimal as 2.00 centimeters.
To determine the total centimeters, we simply add the individual centimeter measurements of the two plants.
Daysha's plant grew 100 centimeters and India's plant grew 100 centimeters.
Therefore, the total centimeters that the plants grew in all was 200 centimeters, or 2.00 centimeters when written as a decimal.
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Find the value of y ?
thank youuuuu
Answer:
Step-by-step explanation:
y = 3*\(\sqrt{15}\)
What is the graph of the given inequality?
The graph of the inequality is plotted using the below points.
Graph:
In math, graph show you information as a visual image or picture.
Given,
Here we need to find the graph of the given inequality.
To graph an inequality:
To graph the related boundary line. We have to replace the <, >, ≤ or ≥ sign in the inequality with = to find the equation of the boundary line.
Now, we have to identify at least one ordered pair on either side of the boundary line and substitute those (x, y) values into the inequality.
Then shade the region that contains the ordered pairs that make the inequality a true statement.
Here if points on the boundary line are solutions, then use a solid line for drawing the boundary line. This will happen for ≤ or ≥ inequalities.
Where as if points on the boundary line are not solutions, then use a dotted line for the boundary line. This will happen for < or > inequalities.
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In a standard Normal distribution, what proportion of observations lie below z = 0.18?
Find the z-table here.
0.0359
0.4286
0.5714
O 0.9641
Answer:
0.5714
Step-by-step explanation:
The Z-table on the problem isn't included here, but if you go to 0.1 on the left side of the table, then find .08 on the top of the table, the box that they overlap in is 0.5714.
.1+.08=.18, so that's how you use a Z-table.
The value of P(x < 0.18) is 0.5714 if in a standard Normal distribution z = 0.18 option third is correct.
What is a normal distribution?It's the probability curve of a continuous distribution that's most likely symmetric around the mean. On the Z curve, at Z=0, the chance is 50-50. A bell-shaped curve is another name for it.
We have:
In a standard Normal distribution, what proportion of observations lie below z = 0.18
z = 0.18
In the bell curve draw a vertical line at z = 0.18
The left area of the bell curve:
From the Z table:
P(x < 0.18) = 0.5714
Thus, the value of P(x < 0.18) is 0.5714 if in a standard Normal distribution z = 0.18 option third is correct.
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Engineers must design a process for producing ammonia in amounts large enough to ensure a reasonable profit. Which criterion would the process need to meet? A. The process must make large amounts of product at a low cost? B. The process must be based on a technology that has long been used.C.The process must use only small amounts of reactants.D.The process must use the safest and most natural materials
Need this fast please
The process needs to meet the following criterion:The process must make large amounts of product at a low cost. That is option A.
What is ammonia?Ammonia is defined as a gas compound that is made up of nitrogen and oxygen in the ratio of 1:3 respectively.
The industrial and modern method constructed by Engineers for ammonia production is called steam reforming.
The natural resources used for industrial production of ammonia can be gotten from natural gas such as methane.
To make profit, natural products are used which costs less to acquire but will lead to the production of large ammonia quantity.
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what is the volume of this prism??
Answer:
please find attached pdf
Step-by-step explanation:
estion Determine the vertical asymptote(s) of the function. If none exists, state that fact. x + 3 f(x) – 10x²+ + 21x Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. The function has one vertical asymptote, (Type an equation.) and the rightmost asymptote is OB. The function has two vertical asymptotes. The leftmost asymptote is (Type equations.) O C. The function has three vertical asymptotes. The leftmost asymptote is (Type equations.) OD. The function has no vertical asymptotes. the middle asymptote is and the rightmost asymptote is
Answer:
C.
Step-by-step explanation:
I believe it is C.
What is the x-coordinate of the point shown in the graph?
y
8
4
-2
2 2
4
B
-8-6-4-2
-2
4
Answer:
-5, -7 or its -7, -5
Step-by-step explanation:
Answer:
-7 -5
Step-by-step explanation:
Harry's amount of money is 75% of Kayla's amount of money
Answer:
Add vaslues
Step-by-step explanation:
How much money does kayla have?
Need help with this question
Answer:
10 pennies 13 nickels
Step-by-step explanation:
pennies are worth 1 cent and nickels are worth 5. 13 times 5 is 65 and 10 times 1 is 10. 65 plus 10 is 75 and 13 is 3 more nickels than 10 pennies.
Let x represent the dollar amount spent on supermarket impulse buying in a 10-minute (unplanned) shopping interval. Based on a newspaper article, the mean of the x distribution is about $34 and the estimated standard deviation is about $7. A button hyperlink to the SALT program that reads: Use SALT. (a) Consider a random sample of n = 80 customers, each of whom has 10 minutes of unplanned shopping time in a supermarket. From the central limit theorem, what can you say about the probability distribution of x, the average amount spent by these customers due to impulse buying
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Population mean (Mp) = 34
Population standard deviation (sd) = $7
Number of customers (n) = 80 customers
According to the central limit theorem:
If the number of samples is large (usually ≥ 30), then the distribution will be normal and mean of sample will be the same as the mean of population.
Population mean(Mp) = sample mean(Ms)
Mp= Ms
$34 = $34
Sample standard deviation = standard error
Standard Error(SE) = (population standard deviation / √n)
SE = 7 / √80
SE = 7 / 8.9442719
SE = 0.7826237 = $0.78
Hence, sample distribution is Normally distributed with a mean of $34 and standard deviation of $0.78
I NEED YOUR HELP!! I'LL. GIVE YOU BRAINLIEST
Answer: ∠16 and ∠11
Step-by-step explanation:
All of these answer options include ∠16, so we know we're looking for an angle that is corresponding to ∠16. A corresponding angle is an angle that is in the same relative position. We will look at ∠9, ∠11, ∠2, and ∠12 since those are the given answer options, and see which is corresponding.
The correct corresponding angles are ∠16 and ∠11.
if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
Use the appropriate form of the percentage formula.What percent of 15.8 is 13.12 Round to the nearest hundredth of a percent.% (Round to the nearest hundredth as needed.)
Answer:
83.04%
Explanation:
To find out what percent of 15.8 the number 13.12 is, we divide 13.12 by 15,8 and multiply the result by 100%.
The exact proceducre is shown below.
\(\frac{13.12}{15.8}\times100\%\)\(=0.83037\times100\%\)\(=83.037\%\)rounding to the nearest hundredth gives
\(83.04\%\)which is our answer!
Hence, 13.12 is 83.04% of 15.8.
M - n if m= 29 and n=11
Answer:
18
Not sure though but I hope i help you ☺️❤️
A) Find an equation for the line perpendicular to the tangent line to the curve y=x^3-4x+6 at the point (2,6)
-The equation is y=
b) What is the smallest slope on the curve? At what point on the curve does the curve have this slope?
-The smallest slope on the curve is
-The curve has the smallest slope at the point
c) Find equations for the tangent lines to the curve at the points where the slope of the curve is 8.
Answer:
f(x) = x³ - 4x + 6
f'(x) = 3x² - 4
a) f'(2) = 3(2²) - 4 = 12 - 4 = 8
6 = 8(2) + b
6 = 16 + b
b = -10
y = 8x - 10
b) 3x² - 4 = 0
3x² = 4, so x = ±2/√3 = ±(2/3)√3
= ±1.1547
f(-(2/3)√3) = 9.0792
f((2/3)√3) = 2.9208
c) 3x² - 4 = 8
3x² = 12
x² = 4, so x = ±2
f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6
6 = -2(8) + b
6 = -16 + b
b = 22
y = 8x + 22
f(2) = 6
y = 8x - 10
The equation perpendicular to the tangent is y = -1/8x + 25/4
-The smallest slope on the curve is 2.92
The curve has the smallest slope at the point (1.15, 2.92)
The equations at tangent points are y = 8x + 16 and y = 8x - 16
Finding the equation perpendicular to the tangentFrom the question, we have the following parameters that can be used in our computation:
y = x³ - 4x + 6
Differentiate
So, we have
f'(x) = 3x² - 4
The point is (2, 6)
So, we have
f'(2) = 3(2)² - 4
f'(2) = 8
The slope of the perpendicular line is
Slope = -1/8
So, we have
y = -1/8(x - 2) + 6
y = -1/8x + 25/4
The smallest slope on the curveWe have
f'(x) = 3x² - 4
Set to 0
3x² - 4 = 0
Solve for x
x = √[4/3]
x = 1.15
So, we have
Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6
Smallest slope = 2.92
So, the smallest slope is 2.92 at (1.15, 2.92)
The equation of the tangent lineHere, we set f'(x) to 8
3x² - 4 = 8
Solve for x
x = ±2
Calculate y at x = ±2
y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)
y = (2)³ - 4(2) + 6 = 6: (2, 0)
The equations at these points are
y = 8x + 16
y = 8x - 16
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Here is some information about the goals scored in some hockey games. Each game has four quarters. Please give the answer asap with full explanation and working out.
Answer:
8 home games and 10 away games
Step-by-step explanation:
Total home goals
= 8+5+9+8
= 30
Number of home games
= 30/3.75
= 8
Total away game goals
= 7+8+4+5
= 24
Number of away games
= 24/2.4
= 10
Answer:
i think it is 8 home and 10 away matches
Step-by-step explanation: