Answer: Negative slope:
Every day, I spend 100 dollars on my credit card.
Positive slope:
Everyday I gain 100 dollars.
Step-by-step explanation:
A line has one endpoint of (-3,7) and a midpoint of (5,2). What is the other endpoint ?
The another endpoint of a line is (13, -3).
What is Straight line?
A line with no curve is called a straight line.
Given that;
One endpoint of a line = (-3, 7)
Midpoint of a line = (5, 2).
Now, Let the other endpoint of a line = (x, y)
Then, Other endpoint is solve by the definition of midpoint of two points as;
(x + (-3) / 2 , y + 7 / 2 ) = (5, 2)
(x - 3 / 2 , y + 7 / 2) = (5, 2)
By compare we get;
x - 3/ 2 = 5
x - 3 = 2 * 5
x - 3 = 10
x = 10 + 3
x = 13
And,
y + 7 / 2 = 2
y + 7 = 2 * 2
y + 7 = 4
y = 4 - 7
y = -3
Hence, The another endpoint of a line is (13, -3).
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I need help in right triangle trigonometry can someone help we can text? There are 17 questions I need help with
Answer:
Okay, see, one or two questions I would help but doing your entire homework/test/quiz or whatever it is I don't think so. Why don't you at least try and then maybe i'll help.
Step-by-step explanation:
PLEASE I NEED HELP
Multiply the following polynomials. The solution must be in standard form.
(-3y3 – 3y) (y5 – 30 – y?)
0 -3y8 + 3y4 + 90y3 + 90y
3y8 + 3y4 – 90y3 – 90y
O 3yº + 3y4 + 90y2 + 90y
0 -3y8 + 90y2 + 90
The correct polynomial in standard form obtained on multiplying the polynomials is -3y^8-3y^6+3y^4+90y^3+3y^2+90y.
A polynomial's standard form is stated by writing the greatest degree of terms first, then the next degree, and so on. f(x) = anxn + an-1xn-1 + an-2xn-2 +... + a1x + a0 is the usual form of a polynomial, where x is the variable and ai are coefficients.
By multiplying the coefficients we get,
(-3y^3 – 3y) (y^5 – 30 – y)
=> -3y^3(y^5-30-y)-3y(y^5-30-y)
=>-3y^8+90y^3+3y^4-3y^6+90y+3y^2
By converting to standard form of polynomial we get,
f(x)=-3y^8-3y^6+3y^4+90y^3+3y^2+90y.
The correct polynomial in standard form obtained on multiplying the polynomials is -3y^8-3y^6+3y^4+90y^3+3y^2+90y.
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It's a word problem junkie. Is a bus driver who earns 1600 dollars per month login is a is a manager who earns 6800 dollars per month. In 2012 Jun bro donated a total of 1200 dollars to charity while login donated4500dollars to charity who donated the higher percentage of money
Answer: bus driver
Step-by-step explanation:
Given: Earning of bus driver = 1600 dollars per month
Earning of manager = 6800 dollars per month
Amount donated by bus driver = 1200 dollars
Amount donated by manager = 4500 dollars
Percentage of amount donated by bus driver = \(\dfrac{1200}{1600}\times100 \%=\dfrac{3}{4}\times100\%=75\%\)
Percentage of amount donated by manager = \(\dfrac{4500}{6800}\times100 \%\approx66.18\%\)
Clearly, 75> 66.18
So, bus driver donated higher percentage of money.
Find the slope of the line that passes through the points (10,-14) (-4,-2)
Answer: 0.8571
The explanation is in the image please
Solve the equation.
3x - 5 = 19
A.
=
1.3
O
B. c = 21.0
c.
=
o
D.
2= 8.0
Answer:
x = 8
Step-by-step explanation:
3x - 5 = 19
Add 5 to both sides.
3x = 24
divide both sides by 3
x = 8
Answer:8
Step-by-step explanation:trust me
A woman is standing next to a tree. She is 5 feet 4 inches tall and casts a shadow that is 2 feet long. The tree’s shadow is 5 feet long.How tall is the tree in feet and inches?
Step-by-step explanation:
this creates 2 similar triangles.
that means all angles are the same. and all the side lengths of one triangle correlate to the side lengths of the other triangle by the same multiplication factor.
2 × f = 5
f = 5/2 = 2.5
now the same factor applies to the relation of the heights :
5'4" × 5/2
to help us, let's convert her height into a fraction too.
1 ft = 12 in
4 in = 1/3 ft
5'4" = 5 1/3 ft = 16/3 ft
16/3 × 5/2 = 80/6 = 40/3 = 13 1/3 ft = 13'4"
so, the tree is 13 ft and 4 inches tall.
The mass of the particles that a river can transport is proportional to the fifth power of the speed of the river. A certain river normally flows at
a speed of 4 miles per hour. What must its speed be in order to transport particles that are 12 times as massive as usual? Round your
answer to the nearest hundredth.
Answer:
6.58 miles per hour
Step-by-step explanation:
Let the mass and speed be represented by m and s respectively. So that,
m \(\alpha\) \(s^{5}\)
m = k\(s^{5}\)
where k is the constant of proportionality.
For a certain river, speed = 4 miles per hour.
m = k \((4)^{5}\)
m = 1024k ............ 1
In order to transport particles that are 12 times as massive as usual;
12m = k\(s^{5}\)
m = \(\frac{ks^{5} }{12}\) ............. 2
Thus,
\(\frac{ks^{5} }{12}\) = 1024 k
\(s^{5}\) = 12 x 1024
= 12288
\(s^{5}\) 12288
s = \(\sqrt[5]{12288}\)
= 6.5750
s = 6.58 miles per hour
Therefore, its speed must be approximately 6.58 miles per hour.
Mr. Bennett purchased a condo several years ago at a selling price of $329,550. Recently he had the condo appraised and it is now worth $184,548. By what percent did the value of the condo go down?
Answer:
44%
Step-by-step explanation:
Given that,
Initial price = $329,550.
Final price = $184,548
We need to find by what percent the value of the condo go down. The percent decrease or increase is givnen by the formula as follows :
\(\%=\dfrac{\text{change in value}}{\text{initial value}}\times 100\\\\=\dfrac{329,550-184,548}{329,550}\times 100\\\\=44\%\)
So, the value go down by 44%.
I can’t figure this out. Help!
Answer:
Your answer should be x = \(\frac{48}{7}\).
Hope this helps.
Answer:
x is about 6.857 or 48/7
Step-by-step explanation:
to do this we cross multiply
42/18=16/x
42x=18(16)
42x=288
x=6.857
Hopes this helps please mark brainliest
find the area..................
Answer:
1. B) 71.2 m
2. D) 58.8 mi
3. C) 45.2 km
The value of a home increases by 7%each year. Explain why the value of the home doubles approximately once each decade
The value of a home increases by 7%each year, by compounding the value of the home doubles approximately once each decade.
What is compounding?Compounding is a process where the interest is credited to the initial amount and interest, on the whole, is charged again. and this continues for t period of time.
It is given by the formula,
A=P(1+r)^t
where A is the value after t period of time,
P is the value of the asset at the beginning, and,
r is the rate of interest.
The value of the home doubles once each decade.
Given to us
The value of a home increases by 7% each year.
As it is given that the value of a home increases by 7% each year, therefore, the value of the home is compounding every year.
We know the formula of compounding,
A=P(1+r)^t
Why does the value doubles?
Now, let's assume a house whose value is 'P' today, therefore, substitute the value of the house in the formula of compounding,
A=P(1+r)^t
Substitute the rate at which the value is increasing,
A=P(1+0.07)^t
We know that in a decade there are 10 years,
A=P(1+0.07)^10=P(1.07)^10
=1.967P
Approximately
=2P
As we can see that the value of the home is almost 2 times the 'P' therefore, twice the value of the home at the beginning.
Hence, the value of the home doubles once each decade.
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HELP!! // The phone case you want to buy is marked down 25%, and you have a 10% off coupon. You pay $27.00. Can this equation be used to find the original price of the phone case? Explain why the equation does or does not fit the scenario, then determine the original price of the phone case.
(0.75c) = 27
Answer:
The original price is $40.00.
Step-by-step explanation:
I am not sure what that given equation is.
But here is the correct answer and steps.
The marked down price is 75% of the original price.
The final price is 90% of the marked down price.
Lets say
\(T\) = Final Price
\(O\) = Original Price
We can write
\(T=(0.75*O)*(0.9)\)
Multiply \(0.9\) by \(0.75\).
\(T=0.675*O\)
We are given the final price. Lets substitute 27.00 for \(T\).
\(27.00=0.675*O\)
Divide both sides of the equation by \(0.675\).
\(40.00=O\)
Brandy's candies paid $23 million in dividends during 1998, while also making net common stock repurchases of $27 million. what was the cash flow to stockholders for 1998?
The cash flow to stockholders for 1998 is -$4 million.
To calculate the cash flow to stockholders for 1998, follow these steps:
Identify the dividends paid: Brandy's Candies paid $23 million in dividends during 1998.
Determine the net common stock repurchases: Brandy's Candies made net common stock repurchases of $27 million during 1998.
Subtract the net common stock repurchases from the dividends paid: $23 million - $27 million = -$4 million.
The resulting cash flow to stockholders for 1998 is -$4 million, indicating a net outflow of cash from stockholders.
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Pls answer will give brainliest to best answer if correct only
Answer:
The domain is all real numbers except x=6. The function tends to -infinity as x tends to 6- and to plus infinity as x tends to 6+.
Step-by-step explanation:
Fractions are not defined if the denominator is 0 because division by 0 does not exist.. When the denominator is an infinitesimal value, the division becomes "something very large divided by something very small".
I only get one part of this problem ?!
Answer:
Light Blue
Step-by-step explanation:
The first thing to do is to take 1 point on the graph. Lets say the bottom left point. You would move down the number of spaces to the same point.
It is 8 units down. Then, move however many units to the right. In this case, it is five units right, so the answer would be light blue.
Which of the following numbers is a rational
number but not an integer?
A. -4
B. -3.5
c. -2
24
8
D. 25
Answer:
I think -3.5 is the right answer
Does an X or y-axis scale have to always start at zero?.
No, X or y-axis scale does not have to always start at zero. In a line chart, it's OK to start the axis at a number other than zero
Define axis.A line that is used to take or mark measurements is known as an axis in mathematics. Two crucial axes of the coordinate plane are the x and y axes. A horizontal number line is the x-axis, while a vertical number line is the y-axis. The coordinate plane is created by the perpendicular intersection of these two axes.
Given,
No, X or y-axis scale does not have to always start at zero.
A line chart encodes data using location (x, y coordinates), whereas a bar chart represents data using length. In a line chart, it's OK to start the axis at a number other than zero despite many claims that they are always misleading since this minute difference influences how a reader utilizes the chart.
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Are lines EF and EB congruent
The circumference of a circle is 98.596 millimeters. What is the radius of the circle? Use 3.14 for π.
197.2 mm
49.3 mm
31.4 mm
15.7 mm
Answer: D) 15.7
Step-by-step explanation:
Start with the formula C=2 πr
Then solve for r r=C2π = 98.62·π = 15.69(7)204
The radius of the circle is 15.7 mm.
What is Circumference?The route or boundary that encircles any shape in mathematics is defined by the shape's circumference.
The measurement of the circle's perimeter, also known as its circumference, is called the circle's boundary. The region a circle occupies is determined by its area. The length of a straight line drawn from the centre of a circle equals the diameter of that circle.
We have,
The circumference of Circle = 2πr
Also, The circumference of a circle is 98.596 millimeters.
So, circumference of Circle = 2πr
98.596 = 2πr
98.596 = 6.28r
r= 98. 596 / 6.28
r = 15.7 mm
Thus, the radius is 15.7 mm.
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PLZ HELP I WILL GIVE BRAINLIEST
Answer:
the third one
Step-by-step explanation:
bc like there are 2 boxes of 1 and 5 boxes of 1/6 so thats already 2 and 5/6 which applies to all of them. then there is 1 box of 1 and 2 boxes of 1/3 so thats 1 and 1/3 which applies to all of them also but when you make them have the same denominator you get 2 and 5/6 + 1 and 4/6 which deletes the second one. When you add you should get the same denominator so that deletes the first one so then you simplify that and the fraction should still be equal to the unsimplified fraction so you should get 4 and 1/2 if that makes sense
Someone explain this to me please, and the answers to the lil boxes would be helpful too!!
Answer:
A value of x that makes the equation true is 0, which when ... makes the equation turn into 10 = 10
Another ... is 1 ... turn into 15 = 15
I think that should be it
Given that dy/dt = √ x² +y where y(0) = 0.8 for the range x = 0.2 da to a = 0.2, with a step size of h = 0.2.
The solution to the given differential equation is y(0.2) = 1.1188.
To solve the given differential equation dy/dt = √(x² + y) with the initial condition y(0) = 0.8, we can use the numerical method known as the Euler's method.
The Euler's method approximates the solution by taking small steps of size h in the independent variable (t) and approximating the derivative at each step.
Given that the range is x = 0.2 da to a = 0.2 with a step size of h = 0.2, we can start at x = 0.2 and compute the values of y at each step.
Let's perform the calculations step by step:
Step 1:
x₀ = 0.2, y₀ = 0.8
Step 2:
x₁ = x₀ + h = 0.2 + 0.2 = 0.4
y₁ = y₀ + h * √(x₀² + y₀) = 0.8 + 0.2 * √(0.2² + 0.8) = 0.8 + 0.2 * √(0.04 + 0.64) = 0.8 + 0.2 * √0.68 ≈ 0.8843
Step 3:
x₂ = x₁ + h = 0.4 + 0.2 = 0.6
y₂ = y₁ + h * √(x₁² + y₁) = 0.8843 + 0.2 * √(0.4² + 0.8843) = 0.8843 + 0.2 * √(0.16 + 0.7811) = 0.8843 + 0.2 * √0.9411 ≈ 0.9624
Step 4:
x₃ = x₂ + h = 0.6 + 0.2 = 0.8
y₃ = y₂ + h * √(x₂² + y₂) = 0.9624 + 0.2 * √(0.6² + 0.9624) = 0.9624 + 0.2 * √(0.36 + 0.9259) = 0.9624 + 0.2 * √1.2859 ≈ 1.0394
Step 5:
x₄ = x₃ + h = 0.8 + 0.2 = 1.0
y₄ = y₃ + h * √(x₃² + y₃) = 1.0394 + 0.2 * √(0.8² + 1.0394) = 1.0394 + 0.2 * √(0.64 + 1.0799) = 1.0394 + 0.2 * √1.7199 ≈ 1.1188
The solution to the given differential equation for the range x = 0.2 da to a = 0.2, with a step size of h = 0.2, is approximately:
y(0.2) ≈ 1.1188.
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on a regular day during the NBA season are what roughly nine NBA games being played on regular days the NBA uses a total of 27 brand new basketballs on using each game uses that exact same number of basketballs fill out the table below using equivalent ratios?
To find the constant of proportionality, divide the total amount of basketballs that have been used by the total number of games. This will give you the rate of new basketballs per game:
\(\frac{27\text{ basketballs}}{9\text{ games}}=3\text{ basketballs per game}\)Fill the column of "Number of NBA games" with the numbers from 1 to 9. Using the constant of proportionality, multiply each number in the first column by 3 to find how many basketballs are used depending on the number of games.
\(\begin{gathered} 1\text{ game }\rightarrow\text{ 3 basketballs} \\ 2\text{ games}\rightarrow6\text{ basketballs} \\ 3\text{ games }\rightarrow9\text{ basketballs} \\ \text{.} \\ \text{.} \\ \text{.} \\ 9\text{ games }\rightarrow27\text{ basketballs} \end{gathered}\)Remember: the proportional relationship being represented is the number of new basketbals that are used per game. The constant of proportionality is 27/9 = 3, and that's the value that belongs next to the 1 in the table.
The Fundamental Theorem of Calculus always says roughly: Given a region R whose boundary is B, the integral (i.e. a normal integral, line integral, surface integral, multiple integral) of "something" (i.e. a function, 2D vector field, 3D vector field) over B is equal to the integral of "the derivative of that something" (i.e. the regular derivative, the gradient, the curl, or the divergence) over R. The different theorems we saw in chapter 13 are all of this form, its just that the something, the integral, and the derivative all take various different forms. Write out each of the fundamental theorems seen in chapter 13, as well as the standard fundamental theorem from last semester, and in each, say what kind of region R you have, what its boundary B looks like, what types of integrals you're calculating, and what the derivative means.
Chapter 13 of the fundamental theorem of calculus deals with finding the area under curves using definite integrals.
The theorem states that integration and differentiation are inverse operations of each other.
Here are the fundamental theorems seen in chapter 13 of calculus:
1. The First Fundamental Theorem of CalculusThis theorem describes the relationship between integration and differentiation.
It states that if f is a continuous function on the interval [a, b], then the integral of f from a to b is equal to
F(b) − F(a),
where F is an antiderivative of f.
The region R in this theorem is the interval [a, b], the boundary B is the endpoints a and b, and the integral is a definite integral.
The derivative of the antiderivative F(x) is f(x).
2. The Second Fundamental Theorem of CalculusThis theorem is used to evaluate definite integrals and expresses the function being integrated as an antiderivative.
The theorem states that if f is continuous on [a, b] and F is any antiderivative of f, then the integral of f from a to b is equal to F(b) − F(a).
The region R in this theorem is the interval [a, b], the boundary B is the endpoints a and b, and the integral is a definite integral.
The derivative of the antiderivative F(x) is f(x).
3. Stokes' TheoremThis theorem relates the surface integral of a vector field over a surface to the line integral of the curl of the vector field around the boundary of the surface.
It states that the integral of the curl of a vector field over a surface is equal to the line integral of the vector field around the boundary of the surface.
The region R in this theorem is the surface, the boundary B is the curve that forms the boundary of the surface, the integral is a surface integral, and the derivative is the curl of the vector field.
4. Gauss' Divergence TheoremThis theorem relates the volume integral of a vector field over a region to the surface integral of the normal component of the vector field over the boundary of the region.
It states that the integral of the divergence of a vector field over a region is equal to the surface integral of the normal component of the vector field over the boundary of the region.
The region R in this theorem is the volume, the boundary B is the surface that forms the boundary of the volume, the integral is a volume integral, and the derivative is the divergence of the vector field.
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Alice graphs the relationship between x, the number of years an athlete has been playing basketball, and y, their average number of baskets per game. Her graph goes through the points (8, 8) and (4, 5). Which equation represents the graph?
Answer: (8,8)
Step-by-step explanation: because, you just need to do the math
The equation of line is y = ( 3/4 )x + 2
What is an Equation of a line?
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be P = P ( 8 , 8 )
Let the second point be Q = Q ( 4 , 5 )
Now , the slope of the line between the two points is
Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 5 - 8 ) / ( 4 - 8 )
Slope m = -3/-4
Slope m = 3/4
Now , the equation of line is y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - 8 = 3/4 ( x - 8 )
On simplifying the equation , we get
y - 8 = ( 3/4 )x - 6
Adding 8 on both sides of the equation , we get
y = ( 3/4 )x + 2
Therefore , the value of A is y = ( 3/4 )x + 2
Hence , the equation of line is y = ( 3/4 )x + 2
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what is the difference between a bisector and a perpendicular bisector?
Answer:
In Geometry, “Bisector” is a line that divides the line into two different or equal parts. It is applied to the line segments and angles.
A perpendicular bisector is a line that bisects another line segment at a right angle, through the intersection point. Thus, we can say, a perpendicular bisector always divides a line segment through its midpoint. The term bisect itself means dividing equally or uniformly.
Hope it helps!
Have a nice day!
The values of x and y vary directly, and when x=48, y=36. Find the value of x when y=18.
Answer:
24
Step-by-step explanation:
48 ÷ 2 = 24 - x
36 ÷ 2 = 18 - y
x = 24
y = 18
multiple regression analysis is applied when analyzing the relationship between __________.
Multiple regression analysis is applied when analyzing the relationship between one dependent variable and two or more independent variables. The goal is to determine the extent to which the independent variables predict the dependent variable.
Multiple regression analysis is a statistical technique used to explore and quantify the relationship between a dependent variable and multiple independent variables. It allows researchers to examine how changes in one or more independent variables impact the dependent variable, while controlling for the effects of other variables. By estimating the coefficients for each independent variable, the analysis provides insights into the strength, direction, and significance of their relationships with the dependent variable. This method is commonly employed in various fields, such as economics, social sciences, and business, to understand complex relationships and make predictions based on the interplay of multiple factors.
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a national computer retailer believes that the average sales are greater for salespersons with a college degree. a random sample of 31 salespersons with a degree had an average weekly sale of $3422 last year, while 35 salespersons without a college degree averaged $3255 in weekly sales. the standard deviations were $468 and $642 respectively. is there evidence at the 5% level to support the retailer's belief? select the [p-value, decision to reject (rh0) or failure to reject (frh0)].
The decision is: failure to reject the null hypothesis (frh0).
To determine if there is evidence to support the retailer's belief that salespersons with a college degree have higher average sales, we can perform a
hypothesis test
. The null hypothesis (H0) is that there is no difference in the average sales between salespersons with and without a college degree. The alternative hypothesis (Ha) is that the average sales are greater for salespersons with a college degree.
Let's calculate the p-value and make a decision at the 5% level.
1. Set up the hypotheses:
H0: Average sales for salespersons with a college degree = Average sales for salespersons without a college degree
Ha: Average sales for salespersons with a college degree > Average sales for salespersons without a college degree
2. Calculate the test statistic:
The test statistic used for comparing two means is the
t-test
. We can calculate it using the formula:
t = (x1 - x2) / sqrt((s1^2 / n1) + (s2^2 / n2))
where:
x1 = average weekly sale for salespersons with a college degree = $3422
x2 = average weekly sale for salespersons without a college degree = $3255
s1 = standard deviation for salespersons with a college degree = $468
s2 = standard deviation for salespersons without a college degree = $642
n1 = sample size for salespersons with a college degree = 31
n2 = sample size for salespersons without a college degree = 35
Plugging in the values, we get:
t = (3422 - 3255) / sqrt((468^2 / 31) + (642^2 / 35))
t = 167 / sqrt((218,664 / 31) + (412,164 / 35))
t ≈ 167 / sqrt(7059.48 + 11776.4)
t ≈ 167 / sqrt(18835.88)
t ≈ 167 / 137.34
t ≈ 1.215
3. Find the p-value:
Using the t-distribution table or a statistical software, we can find the p-value associated with the calculated t-value. For a one-tailed test with a degree of freedom (df) of 31 + 35 - 2 = 64, the p-value is approximately 0.114.
4. Make a decision:
Since the p-value (0.114) is greater than the significance level of 0.05, we fail to reject the null hypothesis. There is not enough evidence at the 5% level to support the retailer's belief that salespersons with a college degree have higher average sales.
Therefore, the decision is: failure to reject the null hypothesis (frh0).
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