Given the points ( -7 , 4 ) and (-7 , -3 )
The slope of the line passing through the given points is calculated as following :
\(slope=\frac{rise}{run}=\frac{y_2-y_1}{x_2-x_1}=\frac{-3-4}{-7-(-7)}=\frac{-7}{-7+7}=-\frac{7}{0}=0\)So, the slope of the line = 0
which mean the line will be parallel to the x- axis
Final Answer:
Not definedZeroIn-depth explanation:
Hi! The question is asking us to find the slope of the line, given that it passes through the points (-7,4) and (-7,3).
To find the slope, I use the Slope Formula:
\(\Large\boxed{\boxed{\mathbf{m=\dfrac{y_2-y_1}{x_2-x_1}}}}\)
Where:m = slopey₂ = the y-coordinate of the second pointx₂ = the x-coordinate of the second pointy₁ = the y-coordinate of the first pointx₁ = the x-coordinate of the first pointPlug in the data:
\(\bf{m=\dfrac{-3-4}{-7-(-7)}=\dfrac{-7}{-7+7}}=\dfrac{-7}{0}}\)
\(\bf{m=not\:de fined}\)
\(\rule{350}{1}\)
Now let's find the slope between the second pair of points.
The points are: (-7,-7) and (4,-7), so let's go ahead and plug them in:
\(\bf{m=\dfrac{-7-(-7)}{4-(-7)}=\dfrac{-7+7}{4+7}}=\dfrac{0}{11}}\)
\(\large\textbf{Slope = 0}\)
(x2 + x - 1) = (x - 1)
Answer:
x=0
Step-by-step explanation:
What is the probability of choosing a queen, a king or an ace from a standard deck of playing cards??
Answer:
3/13
Step-by-step explanation:
There are 52 cards in a regular deck.
Among these are 4 each of K, Q and A, for a total of 12.
The probability of choosing a K, Q or A is therefore 12/52, or 3/13
Answer:
the first one 3/13 for sure :))
please help! view the picture :)
due soon
The answer is 30~~~~~~~~
The answer to this question
Answer: B
Step-by-step explanation:
I believe so but I’m not sure I remember having that exact question I forgot
Measure the length of a pencil in inches.
a standard wooden pencil typically measures around 7 inches to 7.5 inches in length.
The average length of a pencil can vary depending on factors such as the type of pencil, region, and manufacturer. However, a standard wooden pencil typically measures around 7 inches to 7.5 inches in length. This range encompasses the most common lengths found in the market.
It's important to note that there may be slight variations in length between different pencil brands and styles. Additionally, specialty or novelty pencils may have different lengths based on their design or intended purpose.
To obtain a more accurate average length for a specific set of pencils or a particular region, you would need to measure a representative sample of pencils and calculate the average length based on the measurements obtained.
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The diameter of a circle measures 30mm. What is the circumference of the circle. Use 3.14 for pie
WAGES Mark has already earned money for mowing lawns over the summer when he takes a job at the local grocery store, earning $9.50 per hour. After working 16 hours at the grocery store, Mark has earned a total of $292. Write a linear equation to represent the amount of money m that Mark has earned this summer after working h hours at the grocery store.
The linear equation m = 9.50h + 140 represents the amount of money m earned by Mark in h hours while working at the grocery store in summer.
Mark earns $9.50 per hour while working at local grocery store
Total money earned by Mark after working for 16 hours is $292
As per the given condition, the points are (16, 292)
The slope of the linear equation is represented by $9.50
Hence, M = 9.5(16, 292)
Standard linear equation is given by
m = Mx + b … (1)
Substitute the values in the equation to get the values of b
292 = 9.5(16) + b
⇒ b = 292 - 152
⇒ b = 140
Substitute the values in the equation (1) again to get linear equation
⇒ m = 9.50h + 140
Hence, the linear equation is m = 9.50h + 140
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in a chemistry class, 8 liters of a 4% acid solution must be mixed with a 10% acid solution to get a 6% acid solution. how many liters of the 10% acid solution are needed?
There are 4 liters of solution are needed for the 10% acid solution.
Unitary method:
Unitary method is the way to find the value of a single unit and then multiply the value of a single unit to the number of units to get the necessary value.
Given,
In a chemistry class, 8 liters of a 4% acid solution must be mixed with a 10% acid solution to get a 6% acid solution.
Here we need to find how many liters of the 10% acid solution are needed.
First, we have to convert the percentage into decimal,
4% = 4/100 = 0.04
10% = 10/100 = 0.10
6% = 6/100 = 0.06
Let x be the required liter of solution.
So, based in the given details,
We have to write the equation as,
=> 0.04*8 + 0.10x = 0.06(8+x)
=> 0.32 + 0.10x = 0.48 + 0.06x
=> 0.10x - 0.06x = 0.48 - 0.32
=> 0.04x = 0.16
=> x = 0.16/0.04
=> x = 4
x = 4 liters of 10% solution is used.
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At the season finale, you present the winner of Canadian Superstar with a recording-and-tour contract. The contract states that the winner will be paid $5000 per month while on tour plus $2 per CD sold. Rn Did You Know? A) Vrite an equation that relates total earnings in terms of the number of months, m, on tour and the number, n, of CDs sold. In March 2003, Dark Side of the Moon, by Pink Floyd, achieved double diamond status in Canada for selling over 2000000 units. B) How much will the winner earn after the first month if 500 CDs are sold? C) Suppose after the third month on tour the new recording artist has earned a total of $74 000. How many GDs were sold? D) In Canada, a record album or CD achieves gold status once it seLls 50 000 units. How much will the artist make if the CD goes gold after 6 months of touring?
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Winner is paid :
Monthly pay while on tour = $5000
Pay per CD sold =. $2
A) Equation which relates total earning in terms of number of months 'm' while on tour and the number 'n' of CD's sold.
(Monthly pay * number of months) + (pay per CD * number of CD's)
Earning = 5000m + 2n
B) How much will the winner earn after the first month if 500 CDs are sold?
m = 1, n = 500
5000(1) + 2(500) = $6000
C) Suppose after the third month on tour the new recording artist has earned a total of $74 000. How many GDs were sold?
m = 3
74000 = 5000(3) + 2n
74000 = 15000 + 2n
74000 - 15000 = 2n
59000 = 2n
n = 59000 / 2
n = 29500 CD's
D) In Canada, a record album or CD achieves gold status once it seLls 50 000 units. How much will the artist make if the CD goes gold after 6 months of touring?
n = Gold = 50000 ; m = 6
5000(6) + 2(50000)
30000 + 100000 = 130,000
which ordered pair comes from the table?
Answer:
D
Step-by-step explanation:
From the table, we observe that the possible ordered pairs are (1,2), (2,4), (3,3) and (4,2). So, from the available options, the option D (4,2) does come from the given table.
Dawn and her brother, David want to rent bikes to ride up and
down the boardwalk. One rental shop, Bargain Bikes,
advertises rates of $50 plus 15 cents per minute. A second
shop, Frugal Wheels, advertises no flat fee, but 25 cents per
minute. After how many minutes will the cost be the same?
ANSWER PLEASE
Answer:
500 minutes
Step-by-step explanation:
Create an equation that sets the prices equal to each other, where x is the number of minutes
0.15x + 50 = 0.25x
Solve for x
50 = 0.1x
500 = x
So, the cost will be the same after 500 minutes
In a city in Ohio, the sales tax rate is 5.75%. If the price of a book is $7, what is the total cost of the book including tax?
Answer:
Step-by-step explanation:
if a six sided die is tossed two times, the probability of obtaining two "4s" in a row is
Answer:
\(\frac{1}{36}\)
Step-by-step explanation:
The probability of rolling a 4 is 1/6.
Using the multiplication rule, the required probability is \((1/6)^2=\frac{1}{36}\).
(x^3+5x^2+10x+6) divided by (x+1) long division work and answer
PLEASE HURRYYYY;(((
Answer: 456 ÷ 65 = 209 ÷ 32 = 87 = 23
Step-by-step explanation:
Solve for ggg:
\dfrac{3}{16}=\left(-\dfrac{5}{4}\right)+g
16
3
=(−
4
5
)+g
Answer:
g = 23/16
Step-by-step explanation:
It looks like you want to find g in ...
3/16 = -5/4 +g
Add 5/4 to both sides of the equation.
(3/16) +(5/4) = (-5/4) +(5/4) + g
3/16 +20/16 = g
23/16 = g
_____
As a mixed number, this is g = 1 7/16. We left it as an improper fraction because your question has an improper fraction.
Pls only help if you know the correct answer! Thanks!! :))
Answer:
The answer is 19.95$
Step-by-step explanation:
With the price being 3.50 per gallon
and irene had filled her car with 5.7 gallons
5.7 + 3.50 = 19.95$
Assume that E is a measurable set with finite measure. Let {fn} be a sequence of measurable functions on E that converges pointwise to f: E → R. Show that, for each e > 0 and 8 > 0, there exists a measurable subset ACE and N EN such that (a) If - fnl N; and (b) m(EA) < 8. (Hint: Start by considering the measurability of the set {< € E:\f(x) - f(x) < e}. Then consider the increasing sets Em = {x € E:\f()-f(x) << for all k > n} Claim this set is measurable and take the limit of U, E. Use the continuity of the measure now to establish the desired A.)
We have shown that for every ε > 0 and e>0, there exists a measurable subset A⊆E and N∈N such that (a) If n > N then |fn(x) - f(x)| < ε for all x∈A. (b) m(E - A) < ε/.
Given E is a measurable set with finite measure and {fn} be a sequence of measurable functions on E that converges point wise to f:
E → R.
We need to prove that for every e>0 and ε > 0, there exists a measurable subset A⊆E and N∈N such that:
(a) If n > N then |fn(x) - f(x)| < ε for all x∈A.
(b) m(E - A) < ε.
Let {< € E: |f(x) - f(x)| < ε} be measurable, where ε > 0.
Therefore, {Em} = {x ∈ E: |f(x) - f(x)| < ε} is an increasing sequence of measurable sets since {fn} converges pointwise to f, {Em} is a sequence of measurable functions on E.
Since E is a measurable set with finite measure, there exists a measurable set A⊆E such that m(A - Em) < ε/\(2^n\).
Then we have m(A - E) < ε using continuity of measure.
Since Em is increasing, there exists an n∈N such that Em ⊆ A, whenever m(E - A) < ε/\(2^n\)
Now, if n > N, we have |fn(x) - f(x)| < ε for all x∈A.
Also, m(E - A) < ε/\(2^n\) < ε.
Thus, we have shown that for every ε > 0 and e>0, there exists a measurable subset A⊆E and N∈N such that
(a) If n > N then |fn(x) - f(x)| < ε for all x∈A.
(b) m(E - A) < ε
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Which r–value represents the strongest negative correlation?.
The r-value ranges from -1 to +1, with -1 indicating a strong negative correlation. Therefore, the r-value closest to -1 represents the strongest negative correlation.
An r-value represents the strength and direction of a correlation between two variables. The strongest negative correlation occurs when the r-value is -1. In this case, as one variable increases, the other variable decreases consistently, showing a perfect negative linear relationship between the two variables.
The ability of a material to resist the flow of heat through it is gauged by the R-value , which is used in materials research and building construction. It measures the energy efficiency of insulation materials including fibreglass, foam board, and cellulose and is commonly represented in square metres kelvin per watt (m2K/W) units.
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Use the diagram below to find the measure of each angle (4 questions)
Angle EAB *
Angle CAF *
Angle BAD *
pleaseeeeeee someone help me asappp i need help so bad.
The slope of the linear equation that passes through the points (-6, -2) and (3, -2) is 0.
How to find the slope with the two known points?We can write a linear equation using the sope-intercept form as:
y = m*x + b
Where m is the slope and b is the y-intercept.
For any linear equation, if we know that the line passes through two known points (x₁, y₁) and (x₂, y₂), then the slope is given by:
m = (y₂ - y₁)/(x₂ - x₁).
In this case we know that the line passes through the points (-6, -2) and (3, -2).
Then the slope will be:
m = (-2 + 2)/(3 + 6) = 0
m = 0
The slope is zero, meaning that this is an horizontal line.
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Sophia owns a small business selling used books. She knows that in the last week 15 customers paid cash, 50 customers used a debit card, and 15 customers used a credit card. Based on these results, express the probability that the next customer will pay with a debit card as a decimal to the nearest hundredth.
The probability that the next person will pay with a debit card is:
P = 0.63
How to find the probability?
We want to find he probability that the next customer will pay with a debit card.
That probability can be estimated as the quotient between the number of customers that paid with debit card and the total number of customers.
We know that:
15 paid in cash.
50 paid with debit card.
15 paid with credit card.
For a total of 15 + 50 + 15 = 80
Then the probability is:
P = 50/80 = 0.63
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A small grocery store is considering installing an express checkout line. Let X be the number of customers in the regular checkout line. Note that these numbers include the customers being served, if any. The probability distribution of X is given in the table below. 0 1 2 3 х P(X=x) 0.10 0.25 0.45 0.20 Find the probability that at least two customers are in the regular checkout line. a. 0.9 b. 0.45 C. 0.25 d. 0.65
The correct option is d. 0.65.
The probability distribution of the number of customers in the regular checkout line, X, is as follows: 0 1 2 3 X P(X=x) 0.10 0.25 0.45 0.20
We have to find the probability that at least two customers are in the regular checkout line.Solution:We are given that P(X = 2) = 0.45, P(X = 3) = 0.20.
We need to find the probability that at least two customers are in the regular checkout line.P(X ≥ 2) = P(X = 2) + P(X = 3) = 0.45 + 0.20 = 0.65
Hence, the probability that at least two customers are in the regular checkout line is 0.65.
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Reflect across the y-axis. Fill in the new coordinates below:
Answer:
A(-1,2)
B(-4,4)
C(-3,1)
Step-by-step explanation:
simply reflect across the y-axis. pls give brainliest
What is the slope of a line perpendicular to 3x + 2y = 7?
-2/3
-3/2
3/2
2/3
Answer:
m = 2/3
Step-by-step explanation:
Rewrite in slope-intercept form.
y = -3/2x + 7/2
Using the slope-intercept form, the slope is −3/2.
m = -3/2
The equation of a perpendicular line to y=−3/2x + 7/2 must have a slope that is the negative reciprocal of the original slope.
Answer:
\(\frac{2}{3}\)
Step-by-step explanation:
• First rewrite the original equation in the form y = mx + c ,
where m = gradient:
\(3x + 2y = 7\)
⇒ \(2y = -3x + 7\)
⇒ \(y = \frac{-3}{2}x + \frac{7}{2}\)
• From this equation, we can see that the gradient, m = \(\frac{-3}{2}\) .
The gradient of a line perpendicular to another line with gradient m, = \(\frac{-1}{m}\).
∴ gradient of perpendicular = -1 ÷ \(\frac{-3}{2}\)
= \(\frac{2}{3}\)
What is the domain and range for the quadratic equation pictured below?
Answer:
D
Step-by-step explanation:
Domain - Y
Range - X
Since the domain stops at -4 and goes back up in the parabola, but the Range never stops (the arrows on the ends), the answer is D
Given that F(x) = x 2 + 2, evaluate F(1) + F(5).
Answer:
F(1)= (1)2 + 2
2+2
=4
F(5)= (5)2 + 2
10+2
=12
F(1) + F(5) = 12+4
=16
Step-by-step explanation:
:D
(8x - 12) = (3x + 5)
Answer:
x = \(\frac{17}{5}\)
Step-by-step explanation:
(8x - 12) = (3x + 5) ← remove parenthesis
8x - 12 = 3x + 5 ( subtract 3x from both sides )
5x - 12 = 5 ( add 12 to both sides )
5x = 17 ( divide both sides by 5 )
x = \(\frac{17}{5}\)
or x = 3.4 ( in decimal form )
15) ---> make (c) the subject of the equation
16) ---> make (x) the subject of the equation.
The equation in terms of (c) is:
c = a - b
the equation in terms of (x) is:
x = (y - b)/m
15) To make (c) the subject of the equation, we need to isolate (c) on one side of the equation. The equation is not provided, so I will use a generic formula as an example:
a = b + c
To make (c) the subject of this equation, we need to isolate it on one side of the equation. We can do this by subtracting (b) from both sides of the equation:
a - b = b + c - b
Simplifying the right-hand side of the equation:
a - b = c
Therefore, the equation in terms of (c) is:
c = a - b
This means that if we know the values of (a) and (b), we can use this equation to calculate the value of (c).
16) To make (x) the subject of the equation, we need to isolate (x) on one side of the equation. Again, the equation is not provided, so I will use a generic formula as an example:
y = mx + b
To make (x) the subject of this equation, we need to isolate it on one side of the equation. We can do this by subtracting (b) from both sides of the equation:
y - b = mx + b - b
Simplifying the right-hand side of the equation:
y - b = mx
To isolate (x), we need to divide both sides of the equation by (m):
(y - b)/m = (mx)/m
Simplifying the right-hand side of the equation:
(y - b)/m = x
Therefore, the equation in terms of (x) is:
x = (y - b)/m
This means that if we know the values of (y) and (m) and the y-intercept (b), we can use this equation to calculate the value of (x). This is a commonly used formula in algebra and is used to calculate the value of the independent variable (x) in a linear equation.
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burgers cost $2.50 each and fries cost $1.30 each. if wendy spent $24.10 on 13 fries and burgers, how many of each did she buy?
If Wendy spent $24.10 on 13 fries and burgers, then she bought 6 burgers and 7 orders of fries.
Let x be the number of burgers Wendy bought and y be the number of fries she bought.
We know that burgers cost $2.50 each and fries cost $1.30 each.
So the total cost of x burgers and y fries is:
2.5x + 1.3y
We also know that Wendy spent $24.10 on 13 burgers and fries, so:
2.5x + 1.3y = 24.10
Finally, we know that Wendy bought a total of 13 burgers and fries:
x + y = 13
Now we have two equations with two variables, which we can solve using substitution or elimination.
Let's use substitution:
x = 13 - y
Substitute this into the first equation:
2.5(13 - y) + 1.3y = 24.10
Simplify and solve for y:
32.5 - 2.5y + 1.3y = 24.10
-1.2y = -8.4
y = 7
So Wendy bought 7 orders of fries.
Substitute y = 7 into x + y = 13 to find x:
x + 7 = 13
x = 6
So Wendy bought 6 burgers and 7 orders of fries.
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Consider the game in which P1 chooses x € [1, 5), and P2 chooses y E [1, 5]. (Numbers x and y are not necessarily integers.) The payoffs are U1(x, y) = xy? – x?, u2(x, y) = x+y y2 (a) Find the best response functions and sketch the rational reaction sets for each player. (b) Find Nash equilibria.
The best response functions for Player 1 and Player 2 are x = y/2 and y = -1/2, respectively. The rational reaction sets are given by x = y/2 and y = -1/2. The Nash equilibrium is x = y/2 = -1/4.
To find the best response functions, we need to determine the strategy that maximizes the payoff for each player given the other player's strategy. For Player 1, the best response function can be obtained by maximizing U1(x, y) = xy - x^2 with respect to x. Taking the derivative and setting it to zero, we find that the best response function for Player 1 is x = y/2.
Similarly, for Player 2, the best response function can be obtained by maximizing U2(x, y) = x + yy with respect to y. Taking the derivative and setting it to zero, we find that the best response function for Player 2 is y = -1/2.
The rational reaction sets for each player represent the set of strategies that maximize their payoffs given the other player's strategy. For Player 1, the rational reaction set is a line given by x = y/2. For Player 2, the rational reaction set is a single point, y = -1/2.
To find the Nash equilibria, we need to identify the combinations of strategies where both players are playing their best responses to each other. In this case, the Nash equilibrium occurs when both x and y satisfy the best response functions simultaneously. Substituting the best response functions into each other, we find that the Nash equilibrium is x = y/2 = -1/4.
In summary, the best response functions for Player 1 and Player 2 are x = y/2 and y = -1/2, respectively. The rational reaction sets are given by x = y/2 and y = -1/2. The Nash equilibrium is x = y/2 = -1/4. These results provide insights into the optimal strategies for each player and the stable outcomes of the game.
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