Given that a mirror is used, then the angle formed between the tree's height and the ground, and Salma's height and the ground are congruent. In consequence, the triangles formed are similar. This means that the corresponding sides of both triangles are proportional, that is,
\(\frac{\text{ tre}e^{\prime}s\text{ height}}{dis\tan ce\text{ from the mirror to the tre}e}=\frac{\text{ Salma}^{\prime}s\text{ height}}{dis\tan ce\text{ from the mirror to Salma}}\)Substituting with the measures of the diagram:
\(\begin{gathered} \frac{\text{ tre}e^{\prime}s\text{ height}}{38}=\frac{5}{12.2} \\ 38\cdot\frac{\text{ tre}e^{\prime}s\text{ height}}{38}=38\cdot\frac{5}{12.2} \\ tree^{\prime}s\text{ height }\approx\text{ }16\text{ ft} \end{gathered}\)An oil-producing country can sell 7 million barrels of oil a day at a price of $80 per barrel. If each $1 price increase will result in a sales decrease of 100,000 barrels per day, what price will maximize the country's revenue?
$
How many barrels will it sell at that price?
barrels
Answer:
Step-by-step explanation:
To find the price that maximizes the country's revenue, we need to consider the relationship between price, sales, and revenue.
Let's start by calculating the current revenue for the country:
Revenue = Price × Sales
Revenue = $80/barrel × 7 million barrels/day
Revenue = $560 million/day
Now let's consider the effect of a price increase on sales. According to the problem, a $1 increase in price will result in a decrease of 100,000 barrels/day in sales. This means that the new sales rate at a price of $81/barrel will be:
New sales = 7 million barrels/day - 100,000 barrels/day per $1 increase × (81 - 80)
New sales = 6.9 million barrels/day
The new revenue at a price of $81/barrel will be:
New revenue = $81/barrel × 6.9 million barrels/day
New revenue = $559.9 million/day
We can repeat this process for a range of prices to see how revenue changes:
Price Sales (million barrels/day) Revenue (million $/day)
80 7.0 560.0
81 6.9 559.9
82 6.8 544.0
83 6.7 534.1
84 6.6 528.0
85 6.5 520.0
From this table, we can see that the price that maximizes revenue is $84/barrel. At this price, the country will sell 6.6 million barrels/day, and generate revenue of $528 million/day.
Therefore, the price that will maximize the country's revenue is $84/barrel, and it will sell 6.6 million barrels/day at that price.
PLSSSSSSSS I'LL GIVE BRANLIEST!!! ;-;
Answer:
A
Step-by-step explanation:
The table shows that more Republicans and Democrats do not support the law than do support the law
solve the next fractions
Answer:
\(-\frac{19}{50}\)
Step-by-step explanation:
\(-\frac{\frac{38}{25} }{4}\)
\(-\frac{38}{25 * 4}\)
\(-\frac{19}{50}\)
Lines M and N are parallel. Name the relationship between ∠a and ∠b.
Answer: A
Step-by-step explanation:
Evaluate the following expression
4(n-4)+14 for when n=5
there are two hydrogen atoms and one oxygen atom in a water molecule. complete the table, and graph the ordered pairs on the coordinate graph.
Answer:
______ allows data to be transmitted by the computer in ahu-man-of riendly from
A farmer has 13 cows.a bolt of lightening kill all but 5 of them.how many cows survived?
Answer:
8 cows survived
Step-by-step explanation:
13-x=5
-x=5-13
-x=-8
x=8
give brainliest please!
hope this helps :)
Answer:
all of them
Step-by-step explanation:
a litghing bolt isnt strong inof to kill a cow
can anyone identify the center & radius of these
Answer:
43 is the answer to your question
3x - y = 1; D: (-3, -1, 0, 4)
Graph each function for the given domain
Evaluating the function in the values of the domain we will get some coordinate pairs. The graph of these is in the image at the end.
How to graph the function in the given domain?Here we have the function:
3x - y = 1
And we want to graph this in the domain (-3, -1, 0, 4)
To do so, we need to evaluate the function (the values of x) in the values of the domain.
Solving the equation for y we get:
y = 3x - 1
Now, when x = -3
y = 3*-3 - 1 = -10
when x = -1
y = 3*-1 - 1 = -4
when x = 0
y = 3*0 - 1 = -1
When x = 4
y = 3*4 - 1 = 11
So we have the points (-3, -10), (-1, -4), (0, -1), (4, 11)
The graph of these points is on the image below.
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Find the intervals where the function is increasing and decreasing for the following functions. Using the first derivative test, state which critical value will give you your relative maximum/minimum. You DO NOT have to solve for relative max/min, just the value of c that would give me the min/max based off of the first derivative test.
f(x) = x^3 - 6x^2 + 12x the function is increasing for x < -2, increasing for x > 4 and decreasing for -2 < x < 4. The critical value that will give you a relative maximum is x = 4. The critical value that will give you a relative minimum is x = -2.
The derivative of the given function is f'(x) = 3x^2 - 12x + 12. Setting this equal to 0 gives us x = 0 and x = 4. By the first derivative test, we can determine that the function is increasing for x < -2, increasing for x > 4 and decreasing for -2 < x < 4. Therefore, the critical value that will give us a relative maximum is x = 4 and the critical value that will give us a relative minimum is x = -2. This can be verified by finding the second derivative of the function, which is f''(x) = 6x -12. Setting this equal to 0 gives us x = 2, which is between the two critical values. Since the second derivative is negative for x < 2, the critical value at x = -2 will give us a relative minimum and since it is positive for x > 2, the critical value at x = 4 will give us a relative maximum.
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A sample of 100 women is obtained, and their heights (in inches) and pulse rates (in beats per minute) are measured. The linear correlation coefficient is 0.239 and the equation of the regression line is y = 18.5 + 0.890x, where x represents height. The mean of the 100 heights is 62.9 in and the mean of the 100 pulse rates is 73.4 beats per minute. Find the best predicted pulse rate of a woman who is 65 in tall. Use a significance level of α=0.01 The best predicted pulse rate of a woman who is 65 in tall is_______beats per minute.. (Round to two decimal places as needed.) Answer
Answer:
54.07 inches
Step-by-step explanation:
Given the regression equation :
y = 18.5 + 0.890x
y = pulse rate in beats per minute
x = height
The best predicted pulse rate of a woman who is 65 inches
Put y = 65 in the regression equation :
65 = 18.5 + 0.890x
65 - 18.5 = 0.890x
46.5 = 0.890x
Divide both sides by 0.890
46.5 / 0.890 = 0.890x / 0.890
54.0697 = x
The best predicted pulse rate for a woman wo is 65 inches tall is 54.07 inches
Juan needs to take a taxi to get to the movies. The
taxi charges $4.50 for the first mile, and then $1.25
for each mile after that. If the total charge is $11.38,
then how far was Juan's taxi ride to the movie?
which mixed number is equivalent to the improper fraction of 41/10
Answer:
4 1/10 when u have a inproper fraction like that every 10 is one whole number
A café tracks the type of breakfast meal sold each hour. The data are recorded in the frequency table.
6 a.m.
7 a.m.
8 a.m.
8
10
7
12
24
17
11
13
15
0
4
12
Which frequency table best matches the segmented bar graph?
Muffin
Eggs
Oatmeal
Pancakes
The graph that would best show the data collected from measuring the volume of a balloon at varying temperatures is a scatter plot graph.
The frequency table is used to show how often a certain result is given. For example, if we roll a dice 100 times we can use this table to display how often each number came up, which can look like:
10 times
30 times
25 times
20 times
5 times
10 times
A bar graph is often used to compare groups or track changes over time. For example, we can measure how many cars pass by certain points in an hour and use a bar graph to display how many cars passed by each place during that hour by representing each place with its own bar, whose height will tell us the number of cars. This would not be the graph we use because we are comparing changes in a single balloon, not in groups of balloons.
The first option is a circle graph, which is used when one thing contains varying percentages within it. The circle graph can display how much of the total is comprised by each sub-division. This is not the kind of graph we are looking to use because it would be incapable of displaying varying values for the same variable.
The graph that would best show the data collected from measuring the volume of a balloon at varying temperatures is a scatter plot graph because this kind of graph can represent two different variables and is used to compare the relationship between them, in this case, the volume of the balloon and the temperature.
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complete question:
Which type of graph would best show the data collected from measuring the volume of a balloon at varying temperatures?
circle graph
frequency table
bar graph
scatter plot
He buys a jewel for $180 then sells it for $216 find his percentage profit
The difference between the selling price and the cost price is the profit he earned.
Profit = Selling Price - Cost Price
Profit = $216 - $180
Profit = $36
To find the percentage profit, we need to calculate what proportion of the cost price the profit represents, and express that as a percentage :
Percentage Profit = (Profit : Cost Price) * 100%
Percentage Profit = ($36 : $180) * 100%
Percentage Profit = 0.2 * 100%
Percentage Profit = 20%
Therefore, his percentage profit is 20%.
Brandon's mom sent him with money to pick up the pizza and drinks
that totaled $46.21. He came home with $3.79 in change. Write an equation
to represent the situation described.
Answer:
f = food
46.21 - f = 3.79
Step-by-step explanation:
3. Show that 5424 9813 2720 0085 is an invalid MASTERCARD credit card number.
Answer:
Step-by-step explanation:
To check whether the given credit card number is valid or not, we need to apply the Luhn algorithm or the mod-10 algorithm. The Luhn algorithm works by adding up all the digits in the credit card number and checking if the sum is divisible by 10 or not. If it is, then the credit card number is considered valid, otherwise, it is invalid.
Let's apply the Luhn algorithm to the given credit card number:
Step 1: Starting from the rightmost digit, double every second digit
| 5 | 4 | 2 | 4 | 9 | 8 | 1 | 3 | 2 | 7 | 2 | 0 | 0 | 0 | 8 | 5 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| | 8 | | 8 | | 16| | 6 | | 14| | 0 | | 0 | | 10|
Step 2: If the doubled value is greater than 9, add the digits of the result
| 5 | 4 | 2 | 4 | 9 | 8 | 1 | 3 | 2 | 7 | 2 | 0 | 0 | 0 | 8 | 5 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| | 8 | | 8 | | 7 | | 6 | | 5 | | 0 | | 0 | | 1 |
Step 3: Add up all the digits in the credit card number, including the check digit
5 + 4 + 2 + 4 + 9 + 8 + 1 + 3 + 2 + 7 + 2 + 0 + 0 + 0 + 8 + 5 + 1 = 61
Step 4: If the sum is divisible by 10, then the credit card number is valid, otherwise, it is invalid.
61 is not divisible by 10, therefore the given credit card number is invalid.
Hence, it can be concluded that 5424 9813 2720 0085 is an invalid MASTERCARD credit card number.
The table shows the outcomes and probabilities for a spinner game.
Which statement is true?
A. On average, players lose $0.50 per game.
B. Every player loses $0.50 per game.
C. On average, players lose $2.40 per game.
Answer: on average, players lose $.50 per game
Step-by-step explanation: i just took the test and got a 100!!!
Answer:
On average, players lose $0.50 per game.
Step-by-step explanation:
Got it right on the test.
The point (5,6) is the solution to which of the following systems of equations
Answer:
i dont know
Step-by-step explanation:
e
which is greater [-3.25] or [4.25]
Answer:
4.25
Step-by-step explanation:
The number is bigger in absolute form
Solve to find the value of ‘a’ 10a-2=4a-1a
Answer: a = \(\frac{2}{7}\).
Step-by-step explanation:
10a - 2 = 4a - 1a
10a - 2 = 3a
10a -2 + 2 = 3a + 2
10a = 3a + 2
10a - 3a = 3a -3a + 2
7a = 2
a = \(\frac{2}{7}\)
A company's profit tripled from 2015-2016. If they earned $140,000 all together how much did they earn in each year?
Answer:
x+3x=140000
x=35000
in 2015, they earned 35000
in 2016, they earned 105000
Step-by-step explanation:
An account earns simple interest. Find the annual interest rate. I = $60 P = $500 t = 2 years The annual interest rate is %. 10
Answer:
100
Step-by-step explanation:
A = P(1 + rt)
A = 500(1 + (0.1 × 2)) = 600
A = $600.00
600-500= 100
How many unit cubes are on each layer of the cube?
6
3
12
9
Answer:
6
Step-by-step explanation:
Remember: Each layer has 6 cubes. Step 3 Count the cubes. cubes Multiply the base and the height to check your answer. So, the volume of Jorge's rectangular prism is cubic centimeters. if wrong very sorry
Answer:
9
Step-by-step explanation:
took the test
help please it's due tomorrow
\( \{ \: \alpha \: , \: \beta , \: a, \: b \}\)
\( \sf \longrightarrow \: No. \: of \: \: subsets = {2}^{n} \)
where, n denotes to number of elements in set .
Since, given set contains 4 elements .
Thus , 2⁴ {2 raise to power 4} .
\( \sf \longrightarrow \: No. \: of \: \: subsets = {2}^{4} \)
\( \sf \longrightarrow \: No. \: of \: \: subsets = 2 \times 2 \times 2 \times 2\)
\( \sf \longrightarrow \: No. \: of \: \: subsets = 4 \times 4\)
\( \sf \longrightarrow \: No. \: of \: \: subsets = 16\)
Therefore, Required subsets are 16.
They are , Namely;
\( \sf \longrightarrow \: subsets \: = \phi \: \{ \alpha \} \{ \beta \} \{ a\} \{ b\} \: \{ \alpha \beta \} \{ \alpha a\} \{ \alpha b\} \{ \beta a\} \{ \beta b\} \: .....\)
_____________________________
Additional Information:-If n is the number of elements in the set then,
No. of subsets possible for this subset is 2^n that's the (2 raise to the power n).
Let's take another example, {1,2}
Here, n = 2
subsets =2^2 =4
Subsets = ϕ, {1}, {2},{1,2}
Note :- every set is a subset of itself i.e. {1,2} and ϕ is a subset of every set
Johnny earn $5 per day delivering newspapers. What equation show how much m he earns delivering paper for d days
Answer:
$5 x d = m
Step-by-step explanation:
-3x + 6 = 4 - 6x
I kept getting 1.5 But it's not correct. ???
Answer:
-2/3 or -0.6666
Step-by-step explanation:
-3x + 6 = 4 -6x
Let's move the x to one side
-3x +6x=4-6
Combine like terms
3x = -2
Divide both sides by 3
-2/3=x
or -0.666666
MFP15017010 2021 Question 2 2.1 Calculate the following 2- and 3-digit numbers using strategic doubling: 34 2.1.2 340 2.13 277 214 00 (10) 2.15 500
Answer:
plz check ur school solution down.
Step-by-step explanation:
The width of a picture frame is 1/4 the length. Write an algebraic expression of four terms for the perimeter of the picture frame. Use x as your variable.
Answer:
P = 2.5xStep-by-step explanation:
Let the length is x, then the width is 1/4x.
Find the perimeter of rectangle:
P = 2(l + w)P = 2(x + 1/4x) = 2x + 1/2x = 2 1/2x = 2.5xSuppose tortilla chips cost 34.5 cents per ounce . If a bag costs $4.51, how many ounces are in the bag of chips?
Answer:
13.16 oz
Step-by-step explanation: