Answer:
Step-by-step explanation:
Parallel lines have same slope.
Slope of the required line = 3/4
(-1,7)
Point slope form: y - y1 = m(x -x1)
\(y - 7=\dfrac{3}{4}(x -[-1])\\\\\\y -7 =\dfrac{3}{4}(x+1)\)
Negative 32 to the power of 3 over 5
Answer:
-8
Step-by-step explanation:
-32^3/5
Fifth root of 32 is 2.
Thus, 2^3 is 8, but -8 instead due to making 32 positive
Hope this helps!
Suppose the growth rate of the firm's profit is 5 percent, the interest rate is 6 percent, and the current profits of the firm are $80 million. what is the value of the firm?
The calculate value of the firm is the growth rate of the firm's profit is 5 percent, the interest rate is 6 percent, and the current profits of the firm are $80 million = 8480 million
How to solve for the value of the firm(1+r/r -p) * P
This can be substituted in the equation
1.06/ ( 0.06 - 0.05) * 80 million = 8480 million
Hence the value of the firm is given as 8,480 million dollars. The correct answer is C.
Suppose the growth rate of the firm's profit is 5 percent, the interest rate is 6 percent, and the current profits of the firm are $80 million, the value of the firm is 8480 million
Complete question
Suppose the growth rate of the firm's profit is 5 percent, the interest rate is 6 percent, and the current profits of the firm are $80 million. What is the value of the firm?
A. $89.2 million
B. $1,413.3 million
C. $8,480 million
D. None of the statements associated with this question are correct.
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Write a number that is greater than 10,910,099,999 but less than 11,000,000,000
Answer: 10, 911,000,000
Step-by-step explanation:
10,911,000,000 < 11,000,000,000
10,911,000,000 > 10,910,099,999
What is the common difference between successive terms in the sequence? 0.36, 0.26, 0.16, 0.06, -0.04, -0.14, ... a) -0.1 b) -0.1, 0.1 c) -0.1, 0.2 d) 0.1
The common difference between successive terms in this sequence is -0.1.
The common difference between successive terms in a sequence is the constant value that is added or subtracted to each term to obtain the next term in the sequence. To find the common difference in the given sequence, we need to subtract each term from the term that follows it.
Subtract the first term (0.36) from the second term (0.26): 0.26 - 0.36 = -0.1
Subtract the second term (0.26) from the third term (0.16): 0.16 - 0.26 = -0.1
Subtract the third term (0.16) from the fourth term (0.06): 0.06 - 0.16 = -0.1
Based on the calculations, the common difference between successive terms in this sequence is -0.1. Therefore, the correct answer is a) -0.1.
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Given: f(x) = 3-*+3 - 3 2.1. Why is f a decreasing graph?
2.2Draw the graph of f showing all asymptotes and intercepts with the axes.
2.3 Calculate the x- value when f(x)=2
2.4 if h(x)=3*-¹ ,explain tthe transformation f has undergone to become h
2.2 The graph of f(x) is decreasing because the coefficient of the x^2 term is negative (-1), resulting in a downward-opening parabola.
2.3 The graph of f(x) has x-intercepts at (0, 0) and (3, 0), a y-intercept at (0, 0), and no asymptotes.
When f(x) = 2, the x-values are x = 2 and x = 1.
2.4 The transformation from f(x) to h(x) involves a change in coefficients and the replacement of the quadratic term with the reciprocal function 1/x.
2.1. The given function f(x) = 3x - x^2 + 3 - 3 can be rearranged to f(x) = -x^2 + 3x.
To determine whether the graph of f(x) is increasing or decreasing, we look at the coefficient of the x^2 term, which is -1.
In general, a quadratic function with a negative coefficient for the x^2 term (-1 in this case) has a downward-opening parabola, indicating a decreasing graph. This means that as x increases, the value of f(x) decreases.
2.2. To draw the graph of f, we need to find the x-intercepts, y-intercepts, and any asymptotes.
First, let's find the x-intercepts by setting f(x) equal to zero:
0 = -x^2 + 3x
Factoring out an x:
0 = x(-x + 3)
Setting each factor equal to zero:
x = 0 (x-intercept)
-x + 3 = 0
x = 3 (x-intercept)
So, the x-intercepts are (0, 0) and (3, 0).
To find the y-intercept, we substitute x = 0 into the equation:
f(0) = -0^2 + 3(0)
f(0) = 0
So, the y-intercept is (0, 0).
Since there is no denominator in the function, there are no vertical asymptotes.
To find the horizontal asymptote, we examine the behavior of f(x) as x approaches positive or negative infinity. The coefficient of the x^2 term is -1, indicating that the graph will approach negative infinity as x approaches positive or negative infinity. Therefore, the horizontal asymptote is y = -∞.
Now we can plot the points and sketch the graph of f(x), which is a downward-opening parabola passing through the x-intercepts (0, 0) and (3, 0).
2.3. To calculate the x-value when f(x) = 2, we set the function equal to 2 and solve for x:
2 = -x^2 + 3x
Rearranging the equation to standard form:
x^2 - 3x + 2 = 0
Factoring the quadratic equation:
(x - 2)(x - 1) = 0
Setting each factor equal to zero:
x - 2 = 0
x = 2
x - 1 = 0
x = 1
So, when f(x) = 2, the x-values are x = 2 and x = 1.
2.4. The transformation from the function f(x) = 3x - x^2 + 3 - 3 to the function h(x) = 3/x can be explained as follows:
Change in the coefficient of the x^2 term: In f(x), the coefficient is -1, while in h(x), the coefficient is 0. This change indicates a vertical compression or dilation of the graph.
Removal of the linear term: In f(x), there is a linear term (-x), but in h(x), the linear term is absent. This transformation eliminates the linear component and simplifies the function.
Introduction of the reciprocal function: In h(x), the reciprocal of x, 1/x, replaces the quadratic term. This transformation changes the curvature of the graph, turning the parabolic shape into a hyperbolic shape.
Overall, the transformation from f(x) to h(x) involves changes in the coefficients and the replacement of the
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Tommy runs a lemonade stand to raise money for Baker Children's Hospital. Last weekend, he made 8 quarts of lemonade to sell. Saturday was rainy, so he only sold 6 cups. The weather was better on Sunday, so he sold 18 cups. How many quarts of lemonade does he have left?
Answer:
2 quarts
Step-by-step explanation:
In order to solve this problem we first need to calculate the total amount of lemonade, Tommy made in Cups. Since 1 quart holds 4 cups we simply multiply the 8 quarts that Tommy made by 4 like so...
8 * 4 = 32 cups of Lemonade
Now that we know that Tommy made a total of 32 cups of lemonade we can subtract the number of cups he sold each day from the total.
32 - 6 - 18 = 8 cups
Finally, we see that after selling 6 cups on Saturday and 18 cups on Sunday he has 8 cups left. Now we simply divide this by 4 to turn the cups back into quarts
8 / 4 = 2 quarts
Answer:
2 quarts
Step-by-step explanation:
Lesson 2-3
Solve each equation. (MUST SHOW ALL STEPS for credit)
*18. 20 + g + g = 14 19. 7 + 4x – 9 = –6 20. –12 = –5 – 6n + 11
*21. 8 = 8p + 13 – 3p *22. 4(–2d – 3) = 12 23. –2(a + 6) = –22
Answer:
18. g= -3
19. x= -1
20. n= 3
21. p= -1
22. d= -3
23. a= 5
Step-by-step explanation:
how to solve the variable (using 18 as an example)
step 1: simplify both sides of the equation.
20+g+g=14
(g+g)+(20)=14(combine like terms)
2g+20=14
2g+20=14
step 2: subtract 20 from both sides.
2g+20−20=14−20
2g=−6
step 3: divide both sides by 2.
2g/2 = -6/2
Question 4 Given: csc 55° =, find tan 145° A. 514 B. - D. C. 2/ 314413 E. - / 6 pts
tan 145° is equal to csc 55°. Given that csc 55° is not provided in the options, none of the given options is correct. cotangent is the reciprocal of the sine function.
To find the value of tan 145°, we can use the relationship between tangent and cotangent:
tan x = 1 / cot x
Since cotangent is the reciprocal of the sine function, we can rewrite the given equation as:
csc 55° = 1 / sin 55°
To find the value of sin 55°, we can use the fact that sin x = cos (90° - x):
sin 55° = cos (90° - 55°)
= cos 35°
Now, we need to find the value of cos 35°. We can use a trigonometric identity:
cos (90° - θ) = sin θ
cos 35° = sin (90° - 35°)
= sin 55°
Substituting this value back into the equation, we have:
csc 55° = 1 / sin 55°
= 1 / cos 35°
Now, let's find the value of tan 145° using the relationship between tangent and cotangent:
tan 145° = 1 / cot 145°
Since cotangent is the reciprocal of the sine function, we can rewrite the equation as:
tan 145° = 1 / sin 145°
To find the value of sin 145°, we can use the fact that sin x = sin (180° - x):
sin 145° = sin (180° - 145°)
= sin 35°
Now, we have:
tan 145° = 1 / sin 145°
= 1 / sin 35°
Since we previously found that csc 55° = 1 / cos 35°, we can substitute this value into the equation:
tan 145° = 1 / sin 35°
= csc 55°
Therefore, tan 145° is equal to csc 55°. Given that csc 55° is not provided in the options, none of the given options is correct.
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The following notice appeared in the golf shop at a Myrtle Beach, South Carolina, golf course. Take into account the price of the ticket. Blackmoor Golf Club Members
The golf shop is holding a raffie to win a Taylormade R9 10.5 regular flex driver ($300 value)
Tickets are $5.00 each
Only 80 tickets will be sold
Please see the golf shop to get your tickets!
John Underpar buys a ticket. a. What are Mr. Underpar's possible monetary outcomes? - Either wins the driver (worth $295) or has a worthless ticket (worth -$5) - Either wins the driver (worth $300) or has a worthless ticket (worth $0) c. Summarize Mr. Underpar's "experiment" as a probability distribution. Probability
Getting nithing ______
Winning the driver ______
d. What is the mean or expected value of the probability distribution? expected value ___________
e. If all 80 tickets are sold, what is the expected return to the club?
expected return ________
a. John Underpar's possible monetary outcomes are either winning, which is worth -$5 (the cost of the ticket).
b. the driver (worth $300) or having a worthless ticket (worth $0).
c) Probability of getting nothing = 79/80 = 0.9875
Probability of winning the driver = 1/80 = 0.0125
d. the expected value of buying a ticket is -$1.19, which means on average, a person can expect to lose $1.19 by buying a ticket.
e.the expected return to the club is $100 if all 80 tickets are sold.
a. John Underpar's possible monetary outcomes are either winning the Taylormade R9 10.5 regular flex driver, which is worth $300, or having a worthless ticket, which is worth -$5 (the cost of the ticket).
b. Actually, winning the driver is worth $300, not $295. So, Mr. Underpar's possible monetary outcomes are either winning the driver (worth $300) or having a worthless ticket (worth $0).
c. Mr. Underpar's "experiment" can be summarized as a probability distribution with the following probabilities:
Probability of getting nothing = 79/80 = 0.9875
Probability of winning the driver = 1/80 = 0.0125
d. The mean or expected value of the probability distribution can be calculated as:
Expected value = (Probability of winning the driver x Value of winning) + (Probability of getting nothing x Value of nothing)
Expected value = (0.0125 x $300) + (0.9875 x -$5)
Expected value = $3.75 - $4.94
Expected value = -$1.19
Therefore, the expected value of buying a ticket is -$1.19, which means on average, a person can expect to lose $1.19 by buying a ticket.
e. If all 80 tickets are sold, the expected return to the club can be calculated as:
Expected return = (Number of tickets sold x Price of a ticket) - Value of the prize
Expected return = (80 x $5) - $300
Expected return = $400 - $300
Expected return = $100
Therefore, the expected return to the club is $100 if all 80 tickets are sold.
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Based on past musical productions, a theater predicts selling 400 - 8p tickets when each ticket is sold at p dollars.
We know this because the formula given in the problem statement predicts the number of tickets selling based on the ticket price, and the theater will only earn revenue when it sells more than 400 tickets.
a. It includes ticket price (dollars), number of tickets sold, revenue (dollars)
see image for table.
To complete the table, we start with the maximum expected number of tickets sold at a given price and subtract the expected decrease in ticket sales for every $1 increase in ticket price, until we reach the minimum expected number of tickets sold at a given price.
For example, at a ticket price of $5, the theater expects to sell 400-8(5) = 360 tickets. For every $1 increase in ticket price, the theater expects to sell 8 fewer tickets. Therefore, at a ticket price of $10, the theater expects to sell 400-8(10) = 320 tickets. Continuing in this manner, we can fill out the table as shown above.
b. The theater will earn no revenue when the ticket price is $50, because the expected number of tickets sold at that price is 50, which is less than the break-even point of 400 tickets.
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The mean of the quantitative variable of interest in the population is called the?
The mean of the quantitative variable of interest in the population is called the mean.
What is meant by population?For the purposes of data collection and analysis in statistics and other fields of mathematics, a population is a distinct group of people, animals, or things that can be recognized from one another. In order to learn more about a large population, data is often gathered from a sample.
As an example, inquire about the primary occupation of 100 people chosen at random during a football game. All 100 members of your sample make up the population at that match. The population will always equal the larger of the sample size and the total population. The population is used to refer to the overall population being studied. The illustration's population is representative of the student body at the high school under examination.
Therefore, the mean of the quantitative variable of interest in the population is called the mean.
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Which is the correct choice please.
Answer:
h = 2.5s + 270
Step-by-step explanation:
10 points
HEELP IMEDIALLTLY
Use linear equation to calculate intercepts.
Answer:
a=8, b=-4
Step-by-step explanation:
set both equal to zero
a: 0 (-1/2)(8)=-4
-1/2y=-4, multiply both sides by the reciprocal of -1/2, which is -2
y=8 when you multiply both sides by -2
b: 4-(0)(0)=-4
when y is 0, the equation become x-0=-4
or x=-4, meaning x must equal -4
Answer:
a is equal to 8
b=-4
Step-by-step explanation:
please help with this question
Use the GCF to factor 8-6
Which is the best estimate of the amount of juice a drinking glass holds? [can someone also help me with my test]
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What is the standard deviation for the set of data { 6,7,8,9,10}? Find the standard deviation by completing the table.
Standard deviation for the given set of data { 6,7,8,9,10} is equal to √2.
As given in the question,
Given set of data is equal to :
{ 6,7,8,9,10}
\(x_{i}\) = { 6,7,8,9,10}
Here total number of observation 'N' is equal to 5.
Mean \(\bar{x}\) = ∑x / n
= ( 6+ 7+ 8 + 9 + 10 ) / 5
= 40 /5
= 8
\(\sum (x_{i} -\bar{x})^{2}\) = ( 6- 8)² + (7-8)² + (8 - 8)²+ ( 9 -8)² + (10 - 8)²
= 4 + 1+ 0 + 1+ 4
= 10
Standard deviation = \(\sqrt{ \frac{\sum (x_{i} -\bar{x})^{2}}{N}\)
= √10/5
= √2
Therefore, standard deviation for the given set of data { 6,7,8,9,10} is equal to √2.
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triangle sum theorem
WILL MARK BRAINLIEST
Step-by-step explanation:
13) 4x-22+x+11+10x-4 =180
15x=195
x=13
<P=(10(13)-4)=126
<Q=(4(13)-22)=30
<R=13+11=24
6(x-3)=2(5x+11) what is the solution to this equation
Answer:
Step-by-step explanation:
add 18 to both sides
simplify
subtract 15x from both sides
simplify
divide both sides by -9
simplify
x=-17/3
Question 6 of 19
Which of the following numbers is closest to 6?
A. V38
B. 39
C. 35
D. 134
SUBMIT
Help please? :) I need some help !!!!!!!!!
Answer:
i gotchu step sis u need help with them laundry's
Step-by-step explanation:
Answer:
Answer:
answer is 8
Step-by-step explanation:
put the equations equal to each other
then simplify
it is bcz of a angle type of parallel lines
corresponding angle
Step-by-step explanation:
What is the slope of a line perpendicular to the line whose equation is x + y = 3 x+y=3. Fully simplify your answer.
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
x + y = 3 ( subtract x from both sides )
y = - x + 3 ← in slope- intercept form
with slope m = - 1
Given a line with slope m then the slope of a line perpendicular to it is
m_{perpendicular}m
perpendicular
= - \frac{1}{m}
m
1
= - \frac{1}{-1}
−1
1
= 1
5. Find mZFOE
35
55
70
110
(1 point)
Answer:
your answer to this question is 35
Please I got 25 Brainly points (03.03)
The table below represents a linear function f(x) and the equation represents a function
g(x)
х
f(x)
-9
-1
0
-1
1
1
7
g(x) = 3x-2
Part A: Write a sentence to compare the slope of the two functions and show the steps
you used to determine the slope of f(x) and g(x).
Part B: Which function has a greater y-intercept? Justify your answer.
Eddie Foster packs and seals pens at rate of $0.235 per pack. At the end of his eight-hour
shift, Foster has packed and sealed 480 packs of pens. How much did he earn?
Answer:
$112.80
Step-by-step explanation:
If he earns $0.235 per pack, and there are 480 packs, then our equation is:
0.235 x 480 = $112.80
The amount of money earned by Eddie for packing and sealing packs of 480 pens is $112.8
What is unitary method?
The method in which first we find the value of one unit and then the value of the required number of units is known as the Unitary Method.
According to the given question.
Amount of money charged by Eddie for packing and sealing a pack of pens = $0.235
Therefore,
The amount of money charged by Eddie for packing and sealing packs of 480 pens
= 480 × $0.235
= $112.8
Hence, the amount of money earned by Eddie for packing and sealing packs of 480 pens is $112.8
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On your own paper, graph the system of equations and identify the solution.=2−4=−1/2+1
• Equation 1:, y = 2x - 4
• Equation 2: ,y = -1/2 x + 1
Choosing point ( 2, 0 ) -where the equations intersect-:
• Equation 1:
\(y=2x-4\)\(\begin{gathered} 0=2\cdot2-4 \\ 0=4-4 \\ 0=0 \end{gathered}\)• Equation 2:
\(y=-\frac{1}{2}x+1\)\(\begin{gathered} 0=-\frac{1}{2}\cdot2+1 \\ 0=-\frac{2}{2}+1 \\ 0=-1+1 \\ 0=0 \end{gathered}\)Answer: ( 2, 0 )
Which statement about nuclear fission is correct?(1 point)
Responses
Nuclear fission takes place in the nucleus of atoms.
Nuclear fission is used to generate water at nuclear power plants.
The fuel for nuclear fission is often helium.
Nuclear fission releases small amount of energy.
Answer:
(A) Nuclear fission takes place in the nucleus of atoms
Step-by-step explanation:
I took the test!
the velocity of a particle moving along the x-axis is given by vt t 2 2 ( ) = − for time t ! 0. what is the average velocity of the particle from time t = 1 to time t = 3 ?A. -4B. -3C. -7/3D. 7/3
The average velocity is c. -7/3. therefore, option c. -7/3 is correct.
To find the average velocity of the particle from time t = 1 to time t = 3, we need to use the formula for average velocity:
average velocity = (final displacement) / (time interval)
The final displacement of the particle between t = 1 and t = 3 can be found by integrating the velocity function over this time interval:
∫[1, 3] vt dt = ∫[1, 3] (\(-t^2\)) dt = -[\(t^3/3\)] from t=1 to t=3 = -(27/3 - 1/3) = -26/3
So the final displacement of the particle is -26/3 units.
The time interval is 3 - 1 = 2 seconds.
Therefore, the average velocity of the particle from time t = 1 to time t = 3 is:
average velocity = (final displacement) / (time interval) = (-26/3) / 2 = -13/3
So the answer is C. -7/3.
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Find the inverse of the given function.
5. f= {(1,3), (2,-5), (3,6)}
Check the picture below.