Answers
Answer:
(0,2) (2,3) :m=\(\frac{1}{2}\)
(1,1) (3,0): m=-\(\frac{1}{2}\)
(0,-3)(1,-1): m=-2
(-2,-2)(0,-2): m=0
(-2,1)(-1,-1): m=2
Step-by-step explanation:
Related Questions
pls explain I need help
Answers
oscar walks from a castles tower to its drawbridge by heading 618m due east and then heading due south. the straight line distance from the tower to the drawbridge is 941m. work out the bearing of the drawbridge from the tower. give your answer to the nearest degree
Answers
The bearing of the Drawbridge from the tower is approximately 56 degrees to the south of due west.
The bearing of the drawbridge from the tower, we need to use trigonometry to calculate the angle between due north and the line connecting the tower to the drawbridge.
First, let's draw a diagram to visualize the situation:
Tower
|
| 618 m
|
|-------- Drawbridge
941 m
The angle we need to find is the angle between the line from the tower to the drawbridge (southeast direction) and the due north direction. We can find this angle using the tangent function:
tan θ = opposite / adjacent
where θ is the angle we want to find, opposite is the length of the side opposite to the angle (618 m), and adjacent is the length of the side adjacent to the angle (941 m).
tan θ = 618 / 941We can solve for θ by taking the inverse tangent of both sides:
θ = tan⁻¹(618 / 941)Using a calculator, we find that θ ≈ 33.8 degrees.
However, this angle is measured from due east, not due north. To convert this angle to the bearing from the tower to the drawbridge, we subtract θ from 90 degrees (which is the angle between due east and due north) and round to the nearest degree:
Bearing = 90 - θ ≈ 56 degrees
Therefore, the bearing of the drawbridge from the tower is approximately 56 degrees to the south of due west.
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Between which two consecutive whole numbers is \( \sqrt[3]{79} \)Explain your reasoning.
Answers
Firstly, the expression does not give us an integer result. Since the opposite operation of the cubic root would be power 3, let's try with some easySupe integer numbers:
\(\begin{gathered} 2^3=2\cdot2\cdot2=4\cdot2=8 \\ 3^3=3\cdot3\cdot3=9\cdot3=27 \\ 4^3=4\cdot4\cdot4=16\cdot4=64 \\ 5^3=5\cdot5\cdot5=25\cdot5=125 \end{gathered}\)One can see that 79 is between the numbers 64 and 125:
\(\begin{gathered} \sqrt[3]{64}<\sqrt[3]{79}<\sqrt[3]{125} \\ 4<\sqrt[3]{79}<5 \end{gathered}\)Therefore, that expression is located between the integer numbers 4 and 5.
what is a simpler form of the radical expression 4 sqrt 1296 x^16y^12
Answers
So, the simpler form of the radical expression 4 sqrt 1296 x^16y^12 is 144x^14y^14 sqrt (x) sqrt (y).
To simplify the radical expression 4 sqrt 1296 x^16y^12, we need to first factor the number inside the radical. 1296 can be factored into 36 x 36, which simplifies to 6^4. So, the expression becomes 4 sqrt (6^4 x^16y^12).
Next, we can simplify the expression further by using the property of exponents that says a^m x a^n = a^(m+n). This means that we can combine the exponents of x and y, which gives us 4 sqrt (6^4 x^(16+12) y^(12+16)). Simplifying this, we get 4 sqrt (6^4 x^28 y^28).
Now, we can simplify the radical expression even further by using the property that says sqrt (a x b) = sqrt (a) x sqrt (b). Applying this to our expression, we get 4 x 6^2 x sqrt (x^28) x sqrt (y^28). Simplifying this further, we get 144x^14y^14 sqrt (x) sqrt (y).
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i have a crush on a 37 year old HELPPP
Answers
Answer:
Step-by-step explanation:
what the- get help if youre a literal minor
I need some help pretty please
Answers
Answer:
y + 32 = 3( x + 8 )
Step-by-step explanation:
point slope form: y-y1 = m(x-x1)
first we need to find the rate of change or the slop. We find that by dividing the difference in the y values from the cordinates by the x values from the cordinates (y2-y1/x2-x1)
so, 1 -- 32 / 3 -- 8 = 1 + 32 / 3 + 8 = 33/11 = 3
m = 3
With this information we can plug the cordinate (-8,-32) into the point slope equation.
y -- 32 = 3( x -- 8)
=
y + 32 = 3( x + 8 ) <---- Answer
and if you ever want to turn this into standard slope form all you have to do is distribue three to 'x' and '8' then subtract 32 from both sides.
y = 3x - 8
Answer:
Step-by-step explanation:
Consider the functions f(x) = 2x + 10
Which statement is true?
Answers
Answer:
B
Step-by-step explanation:
It is linear and increasing.
If it is linear, it is increasing at a constant rate with a straight line.
Exponential means it is a curved line and would have an equation like f(x)=5^x
If it was decreasing, it would have a negative slope, such as -2x +10
It is liner and increases
What is the solution for x?
5
16
5
Please help me
Answers
Answer:
do you have a equation to go with x?
Step-by-step explanation:
The data set represents the number of minutes dan spent on his homework each night. 30, 35, 35, 45, 46, 46, 52, 55, 57 which box plot correctly represents the data?
Answers
The box plot that represents the data is the first option.
What box plot correctly represents the data?A box plot is used to study the distribution and level of a set of scores. The box plot consists of two lines and a box. The end of the first whisker represents the minimum number and the end of the second whisker represents the maximum number.
On the box, the first line to the left represents the lower (first) quartile. The next line on the box represents the median. The third line on the box represents the upper (third) quartile.
Minimum value = 30
Maximum value = 57
1st quartile = 1/4 (n + 1)
1/4 x 10 = 2.5th term = 35
Third quartile = 3/4 x (n + 1 )
3/4 x 10 = 7.5 term = 53
Median = 46
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PLEASE HELP ME I AM SO CONFUSED!!
Answers
PLEASE HELP I NEED IT ASAP
Answers
Hope this helps
Out of 65 students, 35 like lays, 24 likes kurkure and 15 is do not like any of them,present the above information in a venn-diagram and find the number of a students who like
both the items.
Answers
Step-by-step explanation:
n(U) = 65
n(L) = 35
n(K) = 24
n(LUK) = 15
n(LnK) = x
Since we don't know the intersection (x), we have not also known the real value of Set L and K. Therefore, it is expressed as:
35-x and 24-x
Add the terms together and equate to the universal set :
35-x + x + 24-x + 15 = 65
35 + 24 + 15 + x-x - x = 65
74 - x = 65
- x = 65 - 75
-x = - 9
divide through by -1, you'll get:
x = 9
Therefore, the number of students who like both is 9.
Which real world scenario matches this inequality? 10X < 4X +2 The cost of 10 shoes is greater than the cost of 4 shoes plus $2 socks. The cost of 10 shoes is greater than the cost of 4 shoes plus $2 socks. The cost of 10 shoes is less than the cost of 4 shoes with a $2 off coupon. The cost of 10 shoes is less than the cost of 4 shoes with a $2 off coupon. The cost of 10 shoes is less than the cost of 4 shoes with $2 socks. The cost of 10 shoes is less than the cost of 4 shoes with $2 socks. The cost of $2 is greater than the cost of 4 shoes.
Answers
Answer:
The cost of 10 shoes is less than the cost of 4 shoes with a $2 off coupon.
Explanation:
The inequality corresponds closely to the cost of 10 shoes being less than cost of 4 shoes with $2 off coupon. Closely because there is an error here the constant $2 off coupon should mean it is reducing the price of 4 shoes and therefore a minus sign should come before it, equation should be 10x<4x-2.
We can see that X is the price per shoe here
Consider a car rental for $42, plus $0.22 per mile driven. Which statements are correct?
A) This situation is modeled by a linear function.
B) If the car is driven 200 miles, the rental will cost $86.
C) If the car is driven 500 miles, the rental will cost $142.
D) This situation can be modeled by the function f(x) = 0.22x + 42.
E) This situation can be modeled by the function f(x) = (0.22)X + 42.
Answers
Answer:
a, b and d
Step-by-step explanation:
200 miles x 0.22 = 44$ + 42$= 86$
the equation would be f(x)= 0.22x + 42.
and its linear.
reak-Even and Target Proff Analyels LO5-4, LO5-5, LO5-6 Outback Outfitters sells recreational equipment. One of the company's products, a small camp stove, sells for $50 per unit. Variable expenses are $32 per stove, and fixed expenses associated with the stove total $108,000 per month. Requlred: 1. What is the break-even point in unit sales and in dollar sales? 2. If the variable expenses per stove increase as a percentage of the selling price, will it ressit in a higher or a lower break-even point? Why? (Assume that the fixed expenses remain unchanged.) 3. At present, the company is selling 8;000 stoves per month. The sales manager is convinced that a 10% reduction in the selling price would result in a 25% increase in monthly sales of stoves. Prepare two contribution format income statements, one ander present operating conditiors, and one as operations would appear after the proposed changes. Show both total and per unit data on your statements. 4. Refer to the data in (3) above. How many stoves would have to be sold at the new selling price to attain a target profit of $35,000 per month?
Answers
1. The break-even point in unit sales and in dollar sales is 4,500 units and $324,000 respectively.
2. If the variable expenses per stove increase as a percentage of the selling price, will it result in a higher break-even point.
3. Income statements before and after changes are implement net income of $36,000 and $(28,000) respectively.
4. The company has to sell 5,401 units to achieve the target profit of $35,000 per month.
1. The break-even point in unit sales and dollar sales is computed as follows:
Break-Even Point in Unit Sales = Fixed Costs / Contribution Margin per Unit = $108,000 / ($50 - $32) = 4,500 units
Break-Even Point in Dollar Sales = Fixed Costs / Contribution Margin Ratio = $108,000 / ($50 / $18) = $324,000
2. If variable expenses per stove increase as a percentage of selling price, it will result in a higher break-even point. Since variable expenses would have a higher percentage of revenue, contribution margin would be lower, making it more challenging to cover fixed costs.
3. Present Income Statement
Sales (8,000*$50) $400,000
Less variable expenses (8,000*$32) (256,000)
Contribution Margin $144,000
Less fixed expenses 108,000
Net Income $36,000
Income Statement if Changes are Implemented
Sales (8,000*$45) $360,000
Less variable expenses (8,000*$35) (280,000)
Contribution Margin $80,000
Less fixed expenses 108,000
Net Loss $(28,000)
4. The contribution margin ratio is 36% ($18/$50). So, the sales revenue required to achieve the target profit is:
$35,000 / 0.36 = $97,222
The number of units required to be sold is:
$97,222 / $18 = 5,401 units
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please help!! this is for my geometry class
Answers
Answer:
x = 48°
Step-by-step explanation:
The triangle on the left has 3 congruent sides and is equilateral with 3 congruent angles, each of 60°
The 3 angles on the base line sum to 180° , that is
60° + 54° + base = 180°
114° + base = 180° ( subtract 114° from both sides )
base = 66°
The triangle on the right has 2 congruent sides and is isosceles with base angles congruent , both 66° , then
x = 180° - (66 + 66)° = 180° - 132° = 48°
the vertices of triangle wxy are located at w(-14,20). x(10,4) and y (-2,-4). what is the approximate length of the midsegment parallel to xy?
Answers
The approximate length of the midsegment parallel to xy is 6.63
The midsegment of a triangle is a line segment that connects the midpoints of two sides of the triangle and has the same length as each of the two sides.
To find the midpoint of a line segment, we average the x-coordinates and the y-coordinates of its endpoints.
Since the question stated that the midsegment is parallel to xy, we need to find midpoint of xw and yw.
First, let's find the midpoint of side xw:
Midpoint of xw : ((-14+10)/2, (20+4)/2) = (-2, 12)
Midpoint of yw : ((-14-2)/2, (20-4)/2) = (-8, 8 )
The length of a line segment between two points (x1, y1) and (x2, y2) in a two-dimensional coordinate system can be calculated using the distance formula:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Length line of midpoint xw and midpoint yw :
√((-2-(-8))^2 + (12-(8))^2) = √(6^2 + 4^2) = √(36 + 8) = √44
So, the length of the midsegment is parallel to XY, which is approximately equal to √44 = 6.63
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Is 5 x 3^{x} equal to 15x?
Answers
Here's your answer, folks:
Without substitution, yes, here? No.
The value of the substituted numbers is essential to finding the correct answer in algebra.
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
5 x 3 = 15
15 squared or cubed = 15 x 15 || 15 x 15 x 15
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
In that case, 15 times a number could not possibly be equal to 5 x 3 unless x was actually 1, which we do not know.
Answer:
NO
Step-by-step explanation:
5*3^x\(\neq\)15x
because 3 is raised to the x power not multiplied by it, so it is not equal
Answer two questions about Equations AAA and BBB:
A.3x−1=7
B.3x=8 1
How can we get Equation BBB from Equation AAA?
Choose 1 answer:
(Choice A)
A
Multiply/divide both sides by the same non-zero constant
(Choice B)
B
Multiply/divide both sides by the same variable expression
(Choice C)
C
Add/subtract the same quantity to/from both sides
(Choice D)
D
Add/subtract a quantity to/from only one side
2) Based on the previous answer, are the equations equivalent?
In other words, do they have the same solution?
Choose 1 answer:
(Choice A)
A
Yes
(Choice B)
B
No
Answers
Answer:
1) Add/Subtract the same quantity to/from both sides.
2)Yes.
Step-by-step explanation:
We can get equation B from equation A by adding /subtracting the same quantity to/from both sides.
Both the linear equations have same solution.
What is a linear equation?A linear equation is an equation that has one or multiple variable with the highest power of the variable is 1.
Given linear equations are:
A. 3x - 1 = 7
B. 3x = 8
1. We can get equation B from equation A by adding '1' on either side.
2.Equation A and equation B are same equations. Therefore, they have the same solution.
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A certain computer can perform a maximum number of operations per second. If this computer is running at 55%
of the maximum and is performing 90 operations per second, what is the maximum number of operations the
computer can perform per second? Round your answer to the nearest whole number.
4,950 operations per second
O 145 operations per second
164 operations per second
50 operations per second
Answers
Step-by-step explanation:
x = maximum number
.55 x = 90 .55 is decimal form of 55%
x = 90 / .55= ~ 164 ops per sec
Jamal runs for a track team. He ran miles in of an hour. What was Jamal’s rate of speed? miles per hour
Answers
Answer:
6 miles per hour
Step-by-step explanation:
divide 60 by 10 you get 6
Plz help
i will mark you brinliest plz
plz i beg you
Answers
Answer:
1) 15
3)180
Step-by-step explanation:
2)37
3) 180
4)10:30 am
Goodluck!
Which is a correct solution for the following system of Inequalities
HELPP DUE IN 30MIN
Answers
Answer:
I think the answer is A
1,2
Which is equivalent to 80
?
80
4
V80*
O 809
80
o
what is equivalent to 80 1/4?
Answers
The more time that I spend reading, the more pages I have read. Which variable is independent?
Answers
Answer:
The more time i spend reading
Step-by-step explanation:
The variable which causes a change to the variable which we intend to measure in an experiment is the independent variable, Hence, the independent variable is the amount of time spent reading.
The Independent variable in an experiment is also called the explanatory variable, which is used to tweak the value obtained for the dependent or measured variable.
In the scenario described, the measured variable is the number of book pages read which is determined by the number of time spent reading (independent variable.)
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Which of the following is in standard form of quadratic?
ƒ(x) = −5x² – 3x +9
ƒ(x) = −5(x + 4)(x − 2)
f(x)=2x-8
f(x) = -5(x - 1)² + 6
Answers
Answer:
first option
Step-by-step explanation:
the standard form of a quadratic function is
f(x) = ax² + bx + c ( a ≠ 0 )
the only function in this form from the list is
f(x) = - 5x² - 3x + 9
Answer:
f(x) = -5x² - 3x +9
Step-by-step explanation:
The standard form of a quadratic function is: f(x) = ax² + bx + c
The intercept form of a quadratic function is: f(x) = a(x - p)(x - q)
The vertex form of a quadratic function is: f(x) = a(x - h)² + k
(when a ≠ 0)
Therefore:
f(x) = -5x² - 3x +9
This is in standard form of a quadratic equation.f(x) = -5(x + 4)(x - 2)
This is in intercept form of a quadratic equation.The x-intercepts are x = -4 and x = 2.f(x) = 2x - 8
This is a linear equation as the greatest exponent of the variable is 1.f(x) = -5(x - 1)² + 6
This is in vertex form of a quadratic equation.The vertex is (1, 6).Find the next two positive and two negative angles that are coterminal with the given quadrantal angle. A=−270∘ The two positive angles are (Use a comma to separate answers as needed. Do not include the degree symbol in your answer.)
Answers
The next two positive angles that are coterminal with the quadrantal angle A = -270 are 90 and 450.
A quadrantal angle refers to an angle whose terminal side coincides with one of the axes (x-axis or y-axis). In this case, A = -270 is a quadrantal angle as it lies on the negative y-axis.
To find the next two positive angles that are coterminal with -270, we need to add multiples of 360 to it. Adding 360 once gives us -270 + 360° = 90, which is the first positive angle.
Adding 360 again gives us 90+ 360 = 450, which is the second positive angle.
These angles are coterminal with -270 because they have the same initial side and terminal side as -270. They complete full revolutions around the coordinate plane.
Therefore, the two positive angles coterminal with A = -270 are 90 and 450.
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If f(x)=square root of x +3/square root of x, then f'4=
Answers
f'(4) = 5/32. This means that at x = 4, the slope of the tangent line to the curve y = f(x) is 5/32.
To find f'(4), we first need to find the derivative of the given function f(x). We can use the quotient rule to do this:
f(x) = sqrt(x) + 3/sqrt(x)
\(f'(x) = (1/2)x^(-1/2) - 3/2x^(-3/2)\)
Now we can substitute x = 4 to find f'(4):
\(f'(4) = (1/2)4^(-1/2) - 3/24^(-3/2)\)
f'(4) = (1/2)(1/2) - 3/2(1/16)
f'(4) = 1/4 - 3/32
f'(4) = 5/32
Therefore, This also means that the rate of change of f(x) at x = 4 is 5/32, which is the instantaneous rate of change or the derivative of the function at that point.
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Which line plot shows sonia's data? 241/4 243/4 24 241/2 241/4 241/4
Answers
The line plot that shows Sonia's data will be line plot A.
How to explain the line plotA line plot, also known as a dot plot or a scatter plot, is a graphical representation of data that displays individual data points as dots or markers on a number line. The line plot is used to show the distribution of a set of data and to identify any patterns or trends that may be present.
Line plots are particularly useful for displaying small to medium-sized data sets with discrete values. They are commonly used in the fields of statistics, mathematics.
In this case, the correct option is A.
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In a right triangle, if a = 8 ft and b = 15 ft, what is c?
Answers
Answer:
c = 17 ft
Step-by-step explanation:
c=a2+b2=82+152=17ft
Answer:
17
Step-by-step explanation:
a2+b2=c2
8^2+15^2=c2
64 + 225 = 289
√289 = 17
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