Answers
1.Find unknown of right triangle
lets call A, unknown line
then
A^2 = 15^2 + 20^2 = 225 + 400 =
Related Questions
Cost, Revenue, Profit
Identify the relevant information given to you in the application problem below. Use that information to answer the questions that follow on cost, revenue and profit.
Round your answers to two decimal places as needed.
You decide to begin selling frozen bananas at the local park. Your cost for each frozen banana is $2.25 plus you have to pay a fixed weekly fee of $120 for the booth. Your plan is to sell each frozen banana for $3.51.
1. Write a function, Cin), to represent your total costs for the week if you sell n frozen bananas. C(n) 2.25 + 120
2. Write a function, R(n), to represent the revenue from the sale of n frozen bananas during the week. R(n) 3,5ln
3. Write a function, P(n), that represents the profits for selling n frozen bananas in a given week. P(n) 1.26n - 120
1. How many frozen bananas must you sell in order to make a positive profit? Write your answer as a whole number. 95.23809524 frozen bananas
2. Complete the following sentence to explain the meaning of #1:
In order to make a profit, I have to sell a minimum of________
Answers
Answer:
1. C(n) = 2.25n + 120
2. R(n) = 3.51n
3. P(n) = 1.26n - 120
1. 96 frozen bananas must be sold in order to make a positive profit.
2. In order to make a profit, I have to sell a minimum of 96 frozen bananas.
Step-by-step explanation:
1. Write a function, C(n), to represent your total costs for the week if you sell n frozen bananas.
Total cost is the addition of total variable cost and total fixed cost. Therefore, the function is as follows:
C(n) = 2.25n + 120
Where 2.25n is the total variable cost while 120 is the total fixed cost.
2. Write a function, R(n), to represent the revenue from the sale of n frozen bananas during the week.
Revenue is equal to selling price per unit multiplied by the number of units sold. Therefore, the function is as follows:
R(n) = 3.51 * n
R(n) = 3.51n
Where 3.51 is the selling price per unit while n the number of units sold.
3. Write a function, P(n), that represents the profits for selling n frozen bananas in a given week.
Profit is equal to total revenue minus total cost. Therefore, the function can be derived as follows:
P(n) = R(n) - C(n)
P(n) = 3.51n - 2.25n + 120
P(n) = 1.26n - 120
1. How many frozen bananas must you sell in order to make a positive profit? Write your answer as a whole number.
This can be obtained by equating the profit function to zero and solve for n as follows:
P(n) = 0 => 1.26n - 120 = 0
Therefore, we have:
1.26n = 120
n = 120 / 1.26
n = 95.2380952380952 frozen bananas
Writing it as a whole number, we have:
n = 95 frozen bananas
However, using this whole number will result in a negative profit by substituting it into the profit function as follows:
P(n) = (1.26 * 95) - 120 = -$0.30
Therefore, n has to be increased by one to 96 which is also a whole number to have a positive profit as follows:
P(n) = (1.26 * 96) - 120 = $0.96
Therefore, 96 frozen bananas must be sold in order to make a positive profit.
2. Complete the following sentence to explain the meaning of #1:
In order to make a profit, I have to sell a minimum of 96 frozen bananas.
what is the slope of (0,0) , (3,3)
Answers
Answer:
The slope is 1
Step-by-step explanation:
\(\frac{3-0}{3-0}\) = \(\frac{3}{3}\) = 1
What is the first step in evaluating the expression shown below?
12
÷
(
7
.
4
−
3
.
6
)
+
8
−
2
Answers
Answer:
Step-by-step explanation:
The first step in evaluating the expression is to perform the calculations inside the parentheses. This involves subtracting 3.6 from 7.4.
Step 1: Evaluate the expression inside the parentheses.
7.4 - 3.6 = 3.8
After evaluating the expression inside the parentheses, the expression becomes:
12 ÷ 3.8 + 8 - 2
Step 2: Perform the division.
12 ÷ 3.8 = 3.158
After performing the division, the expression becomes:
3.158 + 8 - 2
Step 3: Perform the addition and subtraction from left to right.
3.158 + 8 = 11.158
11.158 - 2 = 9.158
Therefore, the value of the given expression is approximately 9.158.
The first step is:
⇨ parenthesesWork/explanation:
The expression is:
12 ÷ (7.4 − 3.6) + 8 − 2
Let's recall the order of operations first:
order of operations = PEMDASPEMDASParenthesesExponentsMultiplicationDivisionAdditionSubtractionSo we evaluate
\(\sf{12\div(7.4-3.6)+8-2}\)
\(\sf{12\div3.8+8-2}\)
Next, division:
\(\sf{3.158+8-2}\)
Next, addition & subtraction:
\(\sf{9.158}\)
Hence, the first step is to evaluate the parentheses.5. Molly subscribed to a new streaming service. The monthly cost includes a $9 base fee plus $0.50 for each
show she watches. (1.5 notes)
a. Write an equation that models c, the total monthly cost, based on w, the number of shows Molly
watches.
b. If Molly watches 5 shows in a single month, how much will she need to pay?
Answers
Answer:
a. \(c = 9 + 0.5w\)
b. She'll pay $11.5
Step-by-step explanation:
Given
Base Fee = $9
Additional Fee = $0.50 per show
Solving (a): Find the relationship between c and w
c = Monthly cost
w = Number of shows
c = Base Fee + Additional Fee * Number of Shows
\(c = 9 + 0.5 * w\)
\(c = 9 + 0.5w\)
Solving (b): Find c if w = 5
\(c = 9 + 0.5w\)
Substitute 5 for w
\(c = 9 + 0.5 * 5\)
\(c = 9 + 2.5\)
\(c = 11.5\)
Hence, She'll pay $11.5
Jacob spent 5 hours skiing and snowboarding. He skied for 2 hours 10 minutes.
How long did he spend snowboarding?
Answers
Answer:
he spent 2hours 50minutes snowboarding
the time he spent skiing and snowboarding minus the time he skied
5hours minus 2hours 10minutes
100 POINTS PLEASE HELP FAST
Select the correct answer.
The weight of a radioactive isotope was 96 grams at the start of an experiment. After one hour, the weight of the isotope was half of its initial weight. After two hours, the weight of the isotope was half of its weight the previous hour. If this pattern continues, which of the following graphs represents the weight of the radioactive isotope over time?
Answers
The top left graph represents the weight of the radioactive isotope over time.
How to define an exponential function?An exponential function has the definition presented according to the equation as follows:
\(y = ab^x\)
In which the parameters are given as follows:
a is the value of y when x = 0.b is the rate of change.The parameter values for the function in this problem are given as follows:
a = 96, b = 0.5.
Hence the function is given as follows:
\(y = 96(0.5)^x\)
Two points on the graph of the function are given as follows:
(1,48) and (2, 24).
Hence the top left graph represents the weight of the radioactive isotope over time.
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Answer:
Graph W
Step-by-step explanation:
The given information describes a radioactive decay process, where the weight of the isotope decreases by half at regular intervals. This type of decay is characteristic of exponential decay.
Based on the description, the graph that represents the weight of the radioactive isotope over time would be a decreasing exponential curve, where the y-axis represents the weight of the isotope (in grams), and the x-axis represents time (in hours).
The initial weight of the isotope is 96 grams, and after each subsequent hour, the weight becomes half of what it was in the previous hour. Therefore, the correct graph would start at 96 grams (the initial weight when x = 0) and then decrease by half every hour. It would be a curve that gets closer and closer to zero but never quite reaches it.
Initial weight: 96 grams
After 1 hour: 96 / 2 = 48 grams
After 2 hours: 48 / 2 = 24 grams
After 3 hours: 24 / 2 = 12 grams
After 4 hours: 12 / 2 = 6 grams
After 5 hours: 6 / 2 = 3 grams
So, the points on the graph would be:
(0, 96), (1, 48), (2, 24), (3, 12), (4, 6), (5, 3)Therefore, the graph that represents the weight of the radioactive isotope over time is Graph W.
solve the quadratic equation using the quadratic formula. Then solve the equation using another method. which method do you prefer? explain.
Answers
Given:
The quadratic equation is,
\(5x^2+38=3\)Explanation:
Simplify the equation.
\(\begin{gathered} 5x^2+38-3=0 \\ 5x^2+0\cdot x+35=0 \end{gathered}\)For the given equation a = 5, b = 0 and c = 35.
The quadratic formula is,
\(x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}\)Substitute the values in the equation to solve the equation.
\(\begin{gathered} x=\frac{-0\pm\sqrt[]{(0)^2-4\cdot5\cdot35}}{2\cdot5} \\ =\frac{\pm\sqrt[]{-700}}{10} \\ =\frac{\pm10\sqrt[]{7}i}{10} \\ =\pm\sqrt{7}i \end{gathered}\)Second method:
Solve the equation.
\(\begin{gathered} 5x^2+38=3 \\ 5x^2=3-38 \\ x^2=-\frac{35}{5} \\ x=\pm\sqrt[]{-7} \\ =\pm\sqrt[]{7}i \end{gathered}\)I prefer the second method for solving as quadratic equation donot have x terms, so it can be solved easily by combining the like terms.
If equation has x terms also and cannot split the middle terms then quadratic formula method is preffered.
Answer:
\(\pm\sqrt[]{7}i\)Prefer second method as there are no x terms in quadratic equation, so it can be simplify easily by conbining like terms.
Question 2 The current report quantitatively analyzes three variables - load factors, revenue passenger mile, and available seat miles for American Airlines. The data retrieved for the analysis was extracted from the Bureau of Transportation Statistics, focusing on domestic flights from January 2006 to December 2012. The quantitative analysis focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. Table 2: Summary Statistics of American Airlines (Domestic) Revenue Passenger Miles Mean 6,624,897 Median 6,522,230 Mode NONE Minimum 5,208,159 Maximum 8,277,155 Standard Dev 720,158.571 Variance 518,628,367,282.42 Load Factors Mean 82.934 Median 83.355 Mode 84.56 Minimum 74.91 Maximum 89.94 Standard Dev 3.972 Variance 15.762 Revenue Passenger Miles 9000000 8000000 7000000 6000000 5000000 4000000 3000000 2000000 1000000 0 0 10 American Airlines (Domestic) Performance 20 30 ● Revenue Passenger Miles 40 50 Load Factors Available Seat Miles 60 Mean 7,984,735 Median 7,753,372 Mode NONE Minimum 6,734,620 Maximum 9,424,489 Standard Dev 744,469.8849 Variance 554,235,409,510.06 70 80 Linear (Revenue Passenger Miles) 90 100 Figure 1: American Airlines (Domestic) Performance Write a report based on the given data. Please include additional tests such as hypothesis testing, skewness, z statistic, level of significance, and other necessary tests, as well as a discussion of the results obtained.
Answers
The z-statistic test was conducted to determine the Deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.
Report on the Analysis of American Airlines (Domestic) PerformanceThe quantitative analysis focused on three variables- load factors, revenue passenger miles, and available seat miles for American Airlines.
The Bureau of Transportation Statistics data for domestic flights from January 2006 to December 2012 was retrieved for the analysis. The quantitative analysis also focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. The results of the data are summarized in Table 2. Revenue Passenger Miles (RPM) mean is 6,624,897, the median is 6,522,230, and mode is NONE. The minimum is 5,208,159 and the maximum is 8,277,155. The standard deviation is 720,158.571, and the variance is 518,628,367,282.42.
Load Factors (LF) mean is 82.934, the median is 83.355, and mode is 84.56. The minimum is 74.91, and the maximum is 89.94. The standard deviation is 3.972, and the variance is 15.762. The Available Seat Miles (ASM) mean is 7,984,735, the median is 7,753,372, and mode is NONE. The minimum is 6,734,620, and the maximum is 9,424,489. The standard deviation is 744,469.8849, and the variance is 554,235,409,510.06.Figure 1 above displays the performance of American Airlines (Domestic).
The mean RPM is 7,984,735, and the linear regression line is y = 50584x - 2.53E+8. The linear regression line indicates a positive relationship between RPM and year, with a coefficient of determination, R² = 0.6806. A coefficient of determination indicates the proportion of the variance in the dependent variable that is predictable from the independent variable. Therefore, 68.06% of the variance in RPM is predictable from the year. A one-way ANOVA analysis of variance test was conducted to determine the equality of means of three groups of variables; RPM, ASM, and LF. The null hypothesis is that the means of RPM, ASM, and LF are equal.
The alternative hypothesis is that the means of RPM, ASM, and LF are not equal. The level of significance is 0.05. The ANOVA results indicate that there is a significant difference in means of RPM, ASM, and LF (F = 17335.276, p < 0.05). Furthermore, a post-hoc Tukey's test was conducted to determine which variable means differ significantly. The test indicates that RPM, ASM, and LF means differ significantly.
The skewness test was conducted to determine the symmetry of the distribution of RPM, ASM, and LF. The test indicates that the distribution of RPM, ASM, and LF is not symmetrical (Skewness > 0).
Additionally, the z-statistic test was conducted to determine the deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.
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Mimi had 8,630 blueberries. She baked 22 pies using an equal number of blueberries in each pie. How many blueberries did Mimi use in each pie.
Answers
392
8630 divided by 22. = 392.272727... cant be decimal so round down
What is the following sum?
5(³3√x)+9(³√x)
0 14 (√x)
14 (2√x²)
0 14 (3√x)
0
X
Answers
The solution for the given expression is 14∛x. The correct option is (C).
What is an Algebraic expression?An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.
The variable part of an algebraic expression can never be added or subtracted from the constant part.
The given expression is as below,
5∛x + 9∛x
The given expression can be simplified as follows,
5∛x + 9∛x
Here, both the terms have equivalent variables. So, both are like terms.
As per the rules like terms can be added or subtracted keeping the variable as the same.
Thus, 5∛x + 9∛x = 14∛x
Hence, the given expression can be evaluated as 5∛x + 9∛x = 14∛x.
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You are given the great circle of a sphere is a length of 25 miles. What is the volume of the sphere
Answers
The volume of the sphere is approximately 3431.82 cubic miles.
To find the volume of a sphere, we need the radius of the sphere. The length of a great circle is the circumference of the sphere, which is related to the radius by the formula C = 2πr, where C is the circumference and r is the radius.
In this case, we are given that the length of the great circle is 60 miles. We can use this information to find the radius of the sphere.
C = 2πr
60 = 2πr
Divide both sides of the equation by 2π:
r = 60 / (2π)
r = 30 / π
Now that we have the radius, we can use the formula for the volume of a sphere:
V = (4/3)πr³
V = (4/3)π(30/π)³
V = (4/3)π(27000/π³)
V = (4/3)π(27000/π³)
V = (4/3)π(27000/π³)
V = (4/3)(27000/π²)
V = (4/3)(27000/9.87) (approximating π to 3.14)
V ≈ 3431.82 cubic miles
Therefore, the volume of the sphere is approximately 3431.82 cubic miles.
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Question
You are given the great circle of a sphere is a length of 60 miles. What is the volume of the sphere?
Decrease 964,763
by 1,000.
Answers
this is factoring quadratics with a leading coefficient: 5p to the 2 power - 52p + 20
Answers
Answer:
(-5p + 2)(-p + 10)
Step-by-step explanation:
\(5p^{2}\)-52p + 20
(-5p + 2)(-p + 10)
You can double check this by using the distributive property..
-5p * -p = -5p^2
2*-p = -2p
10*-5p = -50p
10*2 = 20
-5p^2 + -2p + -50p + 20
Now we combine like terms and simplify
-5p^2 -52p + 20
So, we are correct
NO LINKS!! URGENT HELP PLEASE!!!
Use the diagram to answer the following
d. Name a secant
e. Name a tangent
f. Name a point of tangency
g. Name a circle
Answers
Answer:
\(\textsf{d)} \quad \sf Secant=\overleftrightarrow{\sf ED}\)
\(\sf e) \quad Tangent = line\; \textit{b}\)
\(\sf f) \quad Point \;of \;tangency = Point \;B\)
\(\sf g)\quad N\:\!ame\;of\;circle=Circle\;A\)
Step-by-step explanation:
A secant is a straight line that intersects a circle at two points and is drawn from outside the circle.
Therefore, the secant in the given diagram is \(\overleftrightarrow{\sf ED}\).
A tangent is a straight line that touches a circle at only one point and is drawn from outside the circle.
Therefore, the tangent in the given diagram is line b.
The point of tangency is the point where the tangent meets the circle.
Therefore, the point of tangency in the given diagram is point B.
A circle is named by the point of its center.
As the center of the given circle is point A, then the name of the circle is Circle A.
Select the correct answer from each drop-down menu. Astronomers can use geometry to measure the objects in space and describe their
Please Help.
Answers
Astronomers can use geometry to measure the distance of objects in space and describe ttheir relationship.
Who are astronomers?It should be noted that astronomers study stars, planets, and other celestial bodies. It should be noted that they use ground-based equipment, like optical telescopes, and space-based equipment. Some astronomers study distant galaxies and phenomena such as black holes and neutron stars.
In this case, astronomers can use geometry to measure the distance of objects in space and describe ttheir relationship.
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Answer:
distance between, motion
Step-by-step explanation:
plato, I got it right
54L+43.42=3605.26 need help
Answers
Answer:
your answer is correct just add the label
Step-by-step explanation:
Mr. Dey took out Rs.5000 from his bank. He took 40 notes of 50 Rupees each and the remaining amount in 20 Rupees notes. How many 20 Rupees notes did he take? *
Answers
Answer:
150
Step-by-step explanation:
Start with Rs.5000.
40 notes of 50 Rupees each = 40 * Rs.50 = Rs.2000
Rs.5000 - Rs.2000 = Rs.3000
He took Rs.3000 in 20 Rupees notes.
Rs.3000/Rs.20 = 150
Answer: He took 150 20-Rupee notes
Answer:
150
Step-by-step explanation:
We know that he took out Rs.5000 from the bank and that he took 40 of the 50 Rupees notes. We have to subtract to find the amount he took in 20 Rupees notes and then divide by 20 to find the number. 40*50 = 2000 and 5000 - 2000 = 3000. After that, 3000/20 = 150, so that means that Mr. Dey took out 150 notes of 20 rupees.
the school lisa goes to is selling tickets to the annual talent show. on the first day of ticket sales the school sold 4 senior citizen tickets and 5 student tickets for a total of $102. the school took in $126 on the second day by selling 7 senior citizen tickets and 5 student tickets. what is the price of on senior citizen ticket and one student ticket?
Answers
Answer: one senior ticket is $8 and one student ticket is $14
Hope this helps a little
18. Multiply, then check your work by switching factors.
a. 693 x 83
b. 910 x 45
c. 38 x 84
d. 409 x 89
Answers
The requried, Multiplies(with switching factors.) area given below,
a.
693 x 83 = 57489
83 x 693 = 57489
The answer is 57489.
b.
910 x 45 = 40950
45 x 910 = 40950
The answer is 40950.
c.
38 x 84 = 3192
84 x 38 = 3192
The answer is 3192.
d.
409 x 89 = 36401
89 x 409 = 36401
The answer is 36401.
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julia needs to make 500 hamburgers for the a school function... hamburger patties are sold in packets of 12
how many packets of patties should she buy ?
Answers
Julia needs to buy 42 packets of patties to make 500 hamburgers for the school function
What is an equation?An equation is an expression that shows how two or more numbers and variables are related using mathematical operations of addition, subtraction, multiplication, division, exponents and so on.
Hamburger patties are sold in packets of 12. Let x represent the number of packet of patties to be bought to make 500 hamburgers. Hence:
12x = 500
x = 500/12
x = 41.67
x≅ 42
Julia needs to buy 42 packets
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Which statement about √2x+3= √2x+3 is true? A.X=1/2 is an extraneous solution. B.X=1/2 is a true solution. C.X=2 is an extraneous solution. D.X=2 is a true solution
Answers
Answer:
B and DStep-by-step explanation:
This equation is true in either case, because the expression \(\sqrt{2x} +3\) is equivalent to itself, that means the equation is true for all positive real numbers including the zero.
Therefore, the right answers are B and D, both numbers are true solutions of the expression.
Answer:
A: x=1/2 is an extraneous solution.
Step-by-step explanation:
Find unit rate round to nearest hundredth if necessary.
Brainliest
Please don’t put any files I cannot download them. Therefore I cannot accept files please and thank you.
Answers
Answer:
Step-by-step explanation:
0.57 . im guessing
What is 2 to the power of 3?
Answers
Answer:
8
Step-by-step explanation:
2 to the power of 3 is 2x2x2
Derive Integral equation for dy/dv
Answers
By the fundamental theorem of calculus,
\(\displaystyle y = \int_0^v \sqrt{3+4t^2} \, dt \implies \boxed{\frac{dy}{dv} = \sqrt{3+4v^2}}\)
In general,
\(\displaystyle \frac{d}{dx} \int_0^{g(x)} f(u) \, du = f(g(x)) \frac{dg}{dx}\)
an airplane flew for one hour and landed 100 miles north and 80 miles east from its origin. what was the distance traveled, speed and angle of direction from its origin?
Answers
The distance traveled by airplane is 180 miles.
The speed of the airplane is 3 miles per minute and the angle of direction from the origin is 51.34°
The airplane landed 100 miles north and 80 miles east from its origin and it flew for one hour.
Then, the total distance traveled by airplane will be:
= 100 miles + 80 miles = 180 miles.
The speed can be defined as the distance traveled by the total time taken.
Speed = distance/time
Speed = 180 miles/ 1 hour
Speed = 180 miles/60 minutes
Speed = 3 miles per minute
The angle of direction from its origin will be:
tan (x) = 100 miles/80 miles
x = tan⁻¹ ( 100/80)
x = tan⁻¹ ( 10/8) = tan⁻¹ ( 5/4)
x = 51.34°
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The Price of Pollo
In El Salvador, "Country Chicken" is the most popular fried chicken franchise
in the country. Like most fast-food establishments, they provide a carry-out
service on their menu. You can buy their chicken in several different
quantities: 2, 6, 9, 15, or 21 pieces per box.
Over the years, prices have steadily risen, as things have a way of doing in
many areas of modern life. For example, on July 1, 1993, a box of two
pieces cost 8.35 colones, and on December 31, 1995, that same purchase
would cost you 11.25 colones.
(Note: prices are given in their original Salvadorean currency, colones; $1 U.S
colones.)
Using these two data 'points', you can form a linear equation of the slope-inter
mx + b. The independent variable x is time; the dependent variable y represe
Your task for this problem is to:
1. Find this equation.
2. Use your equation to predict what the price should have been for a 2
July 1, 1999.
Answers
Answer:
Hope I helped!~
Step-by-step explanation:
To find the equation of the line, we can use the slope-intercept form of the equation:
y = mx + b
where m is the slope of the line and b is the y-intercept.
Using the two data points given, we can calculate the slope:
m = (11.25 - 8.35) / (1995 - 1993) = 1.95
To find the y-intercept, we can use one of the data points:
8.35 = 1.95(1993) + b
b = -3884.65
So the equation of the line is:
y = 1.95x - 3884.65
To predict the price of a box of two pieces on July 1, 1999, we can substitute x = 6 (since 1999 is 6 years after 1993) into the equation:
y = 1.95(6) - 3884.65
y = 11.7 - 3884.65
y = -3872.95
This gives us a negative price, which obviously does not make sense. It is likely that the price of a box of two pieces was not linearly increasing during this time period, or that there were other factors influencing the price. Therefore, we cannot use this equation to accurately predict the price of a box of two pieces on July 1, 1999.
The function f(x) = -2(4)²+1 +140 represents the number of tokens a child has x hours after arriving at an arcade.
What is the practical domain and range of the function?
Enter your answer by filling in the boxes to correctly complete the statements. If necessary, round to the nearest hundredth.
The practical domain of the situation is ?
The practical range of the situation is ?
Answers
The practical domain of the situation is all real numbers, since there is no restriction on the number of hours the child can spend at the arcade.
The practical range of the situation is [1,140], since the minimum value of the function is 1 and the maximum value is 140.
The population of a city is growing at an uninhibited rate of 1.6% per year. The city's initial population was 125,000. How long will it take the population of that city to reach 175,000? Round to the nearest tenth.
a. 56.5 years
b. 21.0 years
c. 9.1 years
d. 37.8 years
Answers
Answer:
B
Step-by-step explanation:
First we find how much of 125000 is increasing. Once we do that, it is basically a slope intercept equation.
We know that 1.6 percent of 125000 is 2000.
We know have y=2000x+125000
There are two ways to solve this, either plug in the given values of a, b, c, and d into the equation and see if it equal 175000, or we we set the equation equal to 175000
If we do the second easiet option, we have
2000x+125000=175000 Use inverse operations
2000x=50000
x=25, or roughly option b.
If we plug in b, we get y=2000(21)+125000 or 167000
21.0 years will it take the population of that city to reach 175,000.
What is population growth rate?Population growth rate is the change in the number of individuals over a specific period of time. Population growth rate can be interpreted over any time period.
Given
Population of a city is growing at an uninhibited rate of 1.6% per year.
The city's initial population was 125,000.
Based on the given conditions
\(125000.(1+0.016)^{x} =175000\)
⇒ \(125000.(1.016)^{x} =175000\)
⇒ \((1.016)^{x} =\frac{175000}{125000}\)
⇒ \((1.016)^{x} =\frac{7}{5}\)
⇒ \(x=log_{1.016} \frac{7}{5}\)
⇒ \(x=log_{\frac{127}{125} } \frac{7}{5}\)
⇒ x = 21.0
21.0 years will it take the population of that city to reach 175,000.
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A plane descends 1,200 feet then it descends 500 feet what is the answer
Answers
Answer:
1700 ft
Step-by-step explanation:
I think you may have read that question wrong, cause the way you worded made it about to be simple addition, and one of the descends should probably be an ascend.
Answer:
1,700 ft
Step-by-step explanation:
Given the two functions, which statement is true? f(x) = 3x, g(x) = 3x + 5 Question 12 options: g(x) is translated up 5 units compared to f(x) g(x) is translated left 5 units compared to f(x) g(x) is translated down 5 units compared to f(x) g(x) is translated right 5 units compared to f(x)
Answers
The correct statement is: g(x) is translated up 5 units compared to f(x).
The correct answer is A.
To determine the translation between the two functions, we can observe that the only difference between them is the constant term.In f(x) = 3x, there is no constant term, so the graph of f(x) passes through the origin (0, 0).In g(x) = 3x + 5, there is a constant term of 5 added to the function. This means that the graph of g(x) is shifted vertically upward by 5 units compared to the graph of f(x).Therefore, g(x) is translated up 5 units compared to f(x).The correct answer is A.
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