Answer:
x = -3 and y = -5
Step-by-step explanation:
2x - y = -1 ⇒ y = 2x + 1
Substitute this into 3x - 2y = 1 to solve for x:
3x - 2(2x + 1 ) = 1 ⇒ 3x - 4x - 2 = 1 ⇒ -x = 3 ⇒ x = -3
Now sub the value you found for x into y = 2x + 1 to find y:
y = 2(-3) + 1 = -5
So x = -3 and y = -5
Problem 2 A local girls soccer team decides to sell chocolate bars to raise some money for new uniforms. The girls are to receive 10% of all the sales they make. Once the bars arrive the girls see that they have to sell each bar for $2.50. They think this price is too high. Are the girls being altruistic or is there something else going on? (Assume the girls face a downward sloping demand curve).
The girls' reluctance to sell the chocolate bars at $2.50 per bar may not be purely altruistic but instead driven by their understanding of market demand and the potential impact of pricing on sales volume.
The girls' perception that the selling price of $2.50 per chocolate bar is too high may not necessarily indicate altruism but rather a response to market demand. When faced with a downward sloping demand curve, higher prices can lead to lower sales volume.
The girls' concern may be rooted in their understanding that a higher price could potentially deter potential buyers from purchasing the chocolate bars, resulting in lower overall sales and potentially lower earnings for themselves.
By considering the demand curve, the girls are likely taking into account the price elasticity of demand. Elastic demand implies that a change in price will have a relatively larger impact on the quantity demanded. If the girls perceive the demand for chocolate bars to be elastic, they might believe that a lower price would attract more customers and lead to increased sales volume.
Their concerns could also be motivated by their desire to achieve a balance between maximizing their sales and ensuring a reasonable profit margin. They might be aware that setting the price too high could lead to reduced demand and lower overall revenue, thereby limiting their earnings.
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Given y = 2 - 6 if x = 2, what is the value of y
Answer:
im gonna assume you mean y=2x-6, if so the answer is -2 (multiply 2*2 then subtract 6)
if you really did mean y=2-6, then you would just subtract 6 from 2 and your answer would be -4
If d = 5, then
d3 equals
Answer:
15
Step-by-step explanation:
Multiply 5 by 3, 15
d=5
d3= 5(3)
5(3)=15
Please answer the question below. Please answer
Answer:
I think of (C.85) can't be constructed
Step-by-step explanation:
hope this helps you :)
Answer:
C) 85
Step-by-step explanation:
Hope this helps
How can we describe the transformation of the blue graph?
The blue graph has been shifted to the right by 3 units
“arizona has the highest death rate for asthma in the country. therefore, it is unsafe to go to arizona if you have asthma.”
(statistics). (misuses/misinterpretations).
Answer:
that is funny. That is where my dad was born and now he has horrible breathing issues
Step-by-step explanation:
Answer:
, Im in Arizona. Also what's this question about, that you disagree or agree?
can somebody please help me with this
The scale factor of the image is 1/4 or 0.25.
What is scale factor?
The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller).
To solve this question, use the coordinates of WX and W'X' as points of reference.
From the diagram, it can be obtained that -
W(-8,8) and X(8,0)
W'(-2,2) and X'(2,0)
First, calculate distance for WX -
Distance formula is -
d = √(x2-x1)^2+(y2-y1)^2
Distance for WX -
d1 = √(8+8)^2+(0-8)^2
d1 = √(16)^2+(-8)^2
d1 = √256+64
d1 = √320
d1 = 17.88
Distance for W'X' -
d2 = √(2+2)^2+(0-2)^2
d2 = √(4)^2+(-2)^2
d2 = √16+4
d2 = √20
The scale factor is then calculated using -
Scale = W'X'/WX
Scale = d2/d1
Substitute values of d1 and d2 -
Scale =√20/√320
Scale = √(20/320)
Scale = √1/16
Scale = 1/4
Therefore, the scale value is 0.25.
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David Abbot is buying a new house, and he is taking out a 30-year mortgage. David will borrow $300,000 from a bank, and to repay the loan he will make 360 monthly payments (principal and interest) of $1,200 per month over the next 30 years. David can deduct interest payments on his mortgage from his taxable income, and based on his income, David is in the 20% tax bracket. What is the after-tax interest rate that David is paying?
The after-tax interest rate that David is paying on his mortgage is effectively reduced due to the tax deduction. Based on his 20% tax bracket, the actual after-tax interest rate will be lower than the nominal interest rate.
To calculate the after-tax interest rate, we need to consider the tax deduction that David can claim on his mortgage interest payments. The nominal interest rate on the mortgage is not directly affected by taxes. However, the tax deduction reduces the amount of taxable income, resulting in a lower tax liability.
In this case, David is in the 20% tax bracket. This means that for every dollar he deducts from his taxable income, he saves 20 cents in taxes. By deducting the mortgage interest payments from his taxable income, David effectively reduces the amount of income that is subject to taxation.
The after-tax interest rate can be calculated by multiplying the nominal interest rate by one minus the tax rate. In this scenario, if we assume the nominal interest rate is fixed at 5%, the after-tax interest rate would be 5% * (1 - 0.20) = 4%. This means that David is effectively paying an after-tax interest rate of 4% on his mortgage, considering the tax deduction benefit.
By taking advantage of the tax deduction, David can lower his overall mortgage cost, making homeownership more affordable in the long run.
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Write down the factors of 28 Then,write down the prme factors of 28
the factors of 28 are : 1, 2, 4, 7, 14, and 28.
the prime factors of 28 are : 2, 2, and 7.
To be eligible for financial aid, a student must earn no more than $20,000 per year. use s to represent the yearly earnings (in dollars) of a student eligible for financial aid
s ≤ $20,000 represents the yearly earnings (in dollars) of a student eligible for financial aid
How to represent the yearly earnings of a student eligible for financial aid?An inequality is a relationship that makes a non-equal comparison between two numbers or other mathematical expressions e.g 2x > 4
To represent the yearly earnings (in dollars) of a student eligible for financial aid using the variable s, you can write the following inequality:
s ≤ $20,000
This inequality states that the variable s, which represents the yearly earnings of a student, must be less than or equal to $20,000 in order for the student to be eligible for financial aid.
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DUE TOMORROW!!! PLEASE HELP! THANKS!
mand Window ror in TaylorSeries (line 14) \( P E=a b s((s i n-b) / \sin ) * 100 \)
Answer:
Step-by-step explanation:
Help?
A rectangular field is 120 meters long and 85 meters wide.
Give the length and width of another rectangular field that has the same perimeter but a smaller area.
Answer:
Length: 200
Width: 5
Step-by-step explanation:
The perimeter of 120 and 85 is 410
The perimeter of 200 and 5 is 410
The area of 200 and 5 is 200 times 5 which is 1000
The area of 120 and 85 is 120 times 85 is 10200
-I hope this helps
What is the approximate volume of the cone?
Use 3.14 for π.
A 1206 cm³
B 2170 cm³
C 3260 cm³
C 6510 cm³
Answer:
A. 1206 cm³
Step-by-step explanation:
We have a cone and are asked to find the approximate volume of it.
Keep in mind we are using π for 3.14
The forumla of a cone is V = πr²\(\frac{h}{3}\)
We know the radius = 12
and the height = 8
Substitute :
V = π12²\(\frac{8}{3}\)
Since these are multiplied with each other, we can first start off with multiplying the fraction, including with factoring 12²:
V = \(\frac{2^4*3^2*8\pi }{3}\)
Cancel the common factor - 3 :
V = \(2^4 * 8 * 3\pi\)
Multiply 8 and 3π :
V = \(2^4 * 24\pi\)
Solve the exponent :
V = \(16 * 24\pi\)
Multiply :
V = \(384\pi\)
Multiply for the final answer :
1205.76 cm³
which can be rounded up to
A. 1206 cm³
Carmen left her house and drove 11 mi north, 16 mi east, 14 mi south, 9 mi west, and 3 mi north. How far was she from home? Carmen was miles from home.
Answer:
7 mi.
Step-by-step explanation:
An online music store charges $1.25 for each song after you pay a $25 subscription fee. write a function that represents the arithmetic sequence. how many songs
can you buy if you have $57 to spend?
4) Write a system of equations to describe the situation below, solve using substitution, and
fill in the blanks.
◄)) Two classmates got together over the weekend to do their assigned History reading.
Olivia can read 3 pages per minute, while Donald can read 4 pages per minute. When they
met, Olivia had already read 22 pages, and Donald had already gotten through 12 pages.
After a while, they had both read the same number of pages. How long did that take? How
many pages had each one read?
◄) After _ minutes, Olivia and Donald had each read _
pages.
It took 19 minutes for each to read 115 pages.
What is Algebraic expression ?
Algebraic expression can be defined as the combination of variables , constants and exponents.
Let x be the number of minutes
And y be the number of pages.
y = 96 + x --equation1 (for danielle )
y=39+4x --equation2 (for lorenzo)
By substituting equation 1 in equation 2.
we get,
96+x = 39 + 4x
96-39+x = 39-39+4x
57+x = 4x
4x-x = 57
3x = 57
x = 57/3
x = 19 .
Substitute x = 19 in equation 1 we get y = 96 + 19 and y=115
in equation 2 we get , y = 39 + 4*19
y = 39+76
y = 115
Hence , it took 19 minutes for each to read 115 pages.
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Which type of statistical test is appropriate to analyze the primary efficacy endpoint in this study?
The chi-square test is appropriate to analyze the primary efficacy endpoint in this study
The chi-square test is a valid statistical hypothesis test when the test statistic is chi-square distributed under the null hypothesis. Specifically, Pearson's chi-square test and its variants. Used to compare observed and expected results. The purpose of this test is to determine whether differences between observed and expected data are due to chance or to relationships between the variables being examined.
A chi-square formula is a statistical formula for comparing two or more sets of statistical data. It is used for data consisting of variables that span different categories and is denoted by χ2. The chi-square formula is χ2 = ∑(Oi – Ei)2/Ei, where Oi = observed (actual) and Ei = expected.
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need help ASAP Using a proportion, how can we find 12% of 125? Please show your proportion set up and all work.
Answer:
9
Step-by-step explanation:
Think about u coming 3 + 3 then subtract it to 10 then u will get 1 more then yea u get 9
Can someone please help me? :(
Answer:
It is A
Step-by-step explanation:
Because the arrow is pointing behind 4.4
Hope this helps:)
the length of the longer leg of a right triangle is 25 ft more than seven times the length of the shorter leg. the length of the hypotenuse is 26 ft more than seven times the length of the shorter leg. find the side lengths of the triangle.
The side lengths of the triangle are 17, 144, 145.
What is triangle?Having three sides, three angles, and three vertices, a triangle is a closed, two-dimensional object. A polygon includes a triangle.
Triangle's characteristics:
A triangle's internal angles are always added together to equal 180 degree.Any two triangle sides added together will always have a length larger than the third side.Half of the product of a triangle's base and height makes up its surface area.Let x be length of smaller side of triangle
25 + 7x = longer length
26 + 7x = hypotenuse
(26 + 7x)² = (25 + 7x)² + x²
676 + 364x + 49x² = 625 + 350x + 49x² + x²
x² -14x - 51 = 0
(x - 17)(x + 3) = 0
x = {-3, 17}
But length cannot be negative.
∴The sides are 17, 144, 145.
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In right triangle PQR , PQ=12 cm and QR=5cm .What is cos R?
Answer:
cosR = \(\frac{5}{13}\)
Step-by-step explanation:
assuming the right triangle has ∠ Q = 90° with legs 5 and 12
then this is a 5- 12- 13 right triangle with hypotenuse PR = 13 cm
then
cosR = \(\frac{adjacent}{hypotenuse}\) = \(\frac{QR}{PR}\) = \(\frac{5}{13}\)
please help so i can pass
Answer:
5.385 = 5.4
Step-by-step explanation:
Answer:
5.4
Step-by-step explanation:
x^2+y^2=c^2
4+25=c^2
c^2=104
c=5.4
diameter of earth is 12 756 km find the area of the northern hemisphere.please help
The approximate area of the northern hemisphere is 80,976,168 square kilometers.
The formula for the surface area of a sphere is given by:
\(A = 4\pi r^2\)
where A is the surface area and r is the radius of the sphere.
Given that the diameter of the Earth is 12,756 km, we can find the radius by dividing the diameter by 2:
r = 12,756 km / 2 = 6,378 km
Now we can substitute the radius into the formula:
A = 4π(6,378 km)²
Calculating the area:
A = 4π(40,548,084 km²)
Simplifying further:
A ≈ 161,952,336 km²
However, we need to find the area of the northern hemisphere, which is only half of the full hemisphere. Therefore, we divide the total surface area by 2:
Area of the northern hemisphere = (161,952,336 km²) / 2
Area of the northern hemisphere ≈ 80,976,168 km²
So, the approximate area of the northern hemisphere is 80,976,168 square kilometers.
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On parallelogram PQRS, P is located at (-1, 6) and S is located at (-7,-3). What is the
slope of segment QR?
P Р
R
rimblr an impronar fraction
How do I solve this?
According to the parallelogram, the slope of the segment QR is 3/2
In math the term called parallelogram is a closed quadrilateral with parallel and congruent opposite sides is referred to as a parallelogram and the opposite pairs of sides have the same slope and the sum of two adjacent angles is 180 degrees.
Here we have know that values of P is located at (-1, 6) and S is located at (-7,-3). Then the slope of QR is calculated by using the the slope formula for a line segment passing through two points,
It can be calculated as,
=> m = (-3 - 6) / (-7 - (-1)
When we simplify this one then we get,
=> m = -9/-6
=> m = 3/2
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Sally is 21 years old and has a resting heart rate of 72 beats per minute. what is her estimated maximum heart rate (mhr)
Sally's estimated maximum heart rate (MHR) is 199 beats per minute.
To estimate Sally's maximum heart rate (MHR), we will use the following formula:
MHR = 220 - age
1. First, note Sally's age, which is 21 years old.
2. Then, apply the formula: MHR = 220 - 21.
3. Calculate the result: MHR = 199 beats per minute.
Sally's estimated maximum heart rate (MHR) is 199 beats per minute.
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the Marked price of the watch is rupees 6000 if 10% is given as discount how much does a customer has to pay.
Answer: $5,400
Step-by-step explanation: 10 percent of 6000 is 600 so you do 6000-600 to get 5400
Given y = 3x + 1 State the quadrants in which this graph is in. (Use the numbers 1-4)
Answer:
1, 2 and 3 (I, II and III)
Step-by-step explanation:
Since the slope is positive (3) in the equation y = 3x + 1, it means that the graph has a positive slope, meaning the line slopes up from left to right.
The y intercept is 1
the x intercept is:
0 = 3x + 1
x = 1/3
Therefore, the graph of y = 3x + 1 lies in quadrants I, II and III. Graph the equation to prove this.
Convert: There are 1,000 meters in a kilometer, and 3,600 seconds in an hour. You can convert units of meters per second (m/s) into kilometers per hour (km/h) by multiplying by 3,600 and dividing by 1,000. (Hint: That is the same thing as multiplying by 3.6.)
A. What is the speed of a cheetah in kilometers per hour?
B. What is the speed of a person in kilometers per hour?
The required speed in km/hr are 108km/hr and 25.704km/hr
How to calculate the distance and speed of an objectGiven the following conversion rate
1 km = 1000m1 hr = 3600secondsGiven that the speed of cheetah is 30meters per second. Converting to m/s will give:
30m/s = \(\frac{30m}{1s} \times \frac{1km}{1000m} \times \frac{3600s}{1hr} \\\)
30m/s = 30 * 3.6
30m/s = 108km/hr
For the person with speed of 7.14m/s, the value in km/hr is expresssed as:
7.14m/s = 7.14 * 3.6
7.14m/s = 25.704km/hr
Hence the required speed in km/hr are 108km/hr and 25.704km/hr
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graph the function
g(x)=3x^2+1
Answer:
x=1, y=4;
x=2, y=13
Step-by-step explanation:
Predicate logic 1. (x) (Px v Dx) 2. ~Da /Ра 2
1. (∃x)Gx ⊃ (y)(Hy)
2. GC /Hс
1. The first statement is a universally quantified predicate that states for all x, either Px or Dx is true.
2. The second statement is the negation of Da, which means Da is false. From this, we can infer that Pa is true.
1. The first statement, (∀x)(Px v Dx), expresses that for all x, either Px or Dx is true. This means that every element x satisfies the condition of being either Px or Dx. It does not specify which elements satisfy Px or Dx, but it applies to all x universally.
2. The second statement, ~Da, indicates that Da is false. From the negation of Da, we can infer the truth of its negation, which is Pa. Therefore, we can conclude that Pa is true based on the given information.
By combining the conclusions from the two statements, we can deduce the following:
- (∀x)(Px v Dx) is true for all x.
- ~Da is true, which implies Pa is true.
However, there is no direct relation or implication between Pa and the statement GC / Hc. Without further information or logical connections, we cannot derive the conclusion Hc based solely on the given premises.
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