Answer:
degree 3
Step-by-step explanation:
To get the degree, we open up the bracket
We have this as;
f(x) = x(x-2x^2)
f(x) = x^2 - 2x^3
3 is the highest power of x and thus, it is our degree
The three angles in a triangle always add up to _ degrees
Answer:
well u should always know that a sum of angles in a triangle add up to 180 degrees it never changes
Answer:
The three angles in a triangle always add up to 180 degrees. This is a property that is widely accepted as true and is not needed to be proved. However, if a proof is required, see attached images for proof of property.
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A franchise models the profit from its store as a continuous income stream with a monthly rate of How at time t glven by? r(e)=7000e 2005t
(doilar per moath). thound vour anseer ta the nearest toliar)
A franchise models the profit from its store as a continuous income stream with a monthly rate of how at time t given by r(e) = 7000e^(0.05t) (dollar per month) .The nearest dollar is $124. Given function of r(e) = 7000e^(0.05t) (dollar per month).
The function represents the profit from a franchise as a continuous income stream with a monthly rate of r(e) over time t.To calculate the profit earned from the franchise over a certain period, we can integrate the function from 0 to t.∫r(e) dt = ∫7000e^(0.05t) dt
= (7000/0.05) e^(0.05t) + Cwhere C is a constant of integration.To find the value of C, we can use the given information that the profit at time t=0 is $0.
Therefore, we have:r(0)
= 7000e^(0.05*0)
= 7000*1
= $7000Substituting this value in the above equation, we get:7000
= (7000/0.05) e^(0.05*0) + C => C
Therefore, the profit earned from the franchise over a period of t is given by:P(t)
= (7000/0.05) (e^(0.05t) - 1)In dollars, the profit earned from the franchise is:P(t)
= (7000/0.05) (e^(0.05t) - 1)
= 140000 (e^(0.05t) - 1)Using the given value of t
= 2, we can find the profit earned over a period of 2 months.P(2)
= 140000 (e^(0.05*2) - 1) ≈ $11,826.14Therefore, to the nearest dollar, the profit earned from the franchise over a period of 2 months is $11,826.
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The total profit for the second 6-month period is $43935.
What is profit?In Mathematics and Financial accounting, profit is a measure of the amount of money generated when the selling price is deducted from the cost price of a good or service, which is usually provided by producers.
In order to determine the total profit for the second 6-month period from t = 6 to t = 12, we would integrate the continuous income stream model with a monthly rate of flow at time t as follows;
\(Total \;profit=\int\limits^{12}_{6} 7000e^{0.005t}\, dx \\\\Total \;profit= \frac{7000}{0.005} [ e^{0.005t}] \limits^{12}_{6}\\\\Total \;profit= \frac{7000}{0.005} [ e^{0.005(12)}- e^{0.005(6)}]\)
Total profit = 1400000 × (1.06183654655 - 1.03045453395)
Total profit = 1400000 × 0.0313820126
Total profit = $43935
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Complete Question:
A franchise models the profit from its store as a continuous income stream with a monthly rate of flow at time t given by
\(f(t) = 7000e^{0.005t}\) (dollars per month).
When a new store opens, its manager is judged against the model, with special emphasis on the second half of the first year. Find the total profit for the second 6-month period (t = 6 to t = 12). (Round your answer to the nearest dollar.)
Which of the points shown below are on the line given by the equation y = 3x? Check all that apply.
Answer:
Step-by-step explanation:
Only A and D. Draw a line through A and D and you will see that this is a proportional relationship; the line goes through the origin.
What is the domain and range of graph!!! 10 points!!!
Answer:
THIRD OPTION - Domain: (0, infinity)
Range: (-infinity, + infinity)
Step-by-step explanation:
The graph is an asymptote, therefore the domain must start at 0 and end at infinity. The range is all real numbers because eventually it will reach all y values.
What is the best first step to solve the following quadratic equation?
16x2 + 38 = -40x
A
Add 40x to both sides.
B
Factor the right side.
C
Take the square root of both sides.
D
Multiply 16 by 38 and list the factors.
Answer:
a
Step-by-step explanation:
A which is add 40x to both sides wich is A
If it is an ace, he wins $5. If it is a club, he wins only $1. However, if it is the ace of clubs, then he wins an extra $10. What is ...
we sum up the expected payouts: $0.38 + $0.23 + $0.29 = $0.90. Therefore, the expected value of the game is $0.90.
To calculate the expected value, we need to consider the probabilities of each outcome and their corresponding payouts. Assuming a standard deck of 52 cards, there are 4 aces and 13 clubs in the deck.
The probability of drawing an ace is 4/52, as there are 4 aces out of 52 cards. Therefore, the expected payout for drawing an ace is (4/52) * $5 = $0.38.
The probability of drawing a club (excluding the ace of clubs) is 12/52, as there are 13 clubs minus the ace of clubs. The expected payout for drawing a club is (12/52) * $1 = $0.23.
The probability of drawing the ace of clubs is 1/52. The expected payout for drawing the ace of clubs is (1/52) * $15 = $0.29 ($5 for the ace + $10 extra).
To find the overall expected value, we sum up the expected payouts: $0.38 + $0.23 + $0.29 = $0.90. Therefore, the expected value of the game is $0.90.
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Find the seventh term of the geometric sequence from the given information. Express the term as an integer or simplified fraction.
a2 = -7 and r = 1/2
The seventh term of the geometric sequence is -7/32. The nth term of the sequence, a1 is the first term, r is the common ratio, and n is the position of the term
To find the seventh term of a geometric sequence, we can use the formula:
\(an = a1 * r^(n-1),\)
where an represents the nth term of the sequence, a1 is the first term, r is the common ratio, and n is the position of the term we want to find.
In this case, we are given a2 = -7 and r = 1/2.
Using the formula, we can find a1 by substituting n = 2:
a2 = a1 * (1/2)^(2-1).
We know that a2 = -7, so we can rewrite the equation:
-7 = a1 * (1/2)^1,
-7 = a1 * (1/2).
Now, let's solve for a1:
a1 = -7 * (2/1),
a1 = -14.
We have found that the first term, a1, is equal to -14.
Now, we can find the seventh term, a7, by substituting n = 7 into the formula:
a7 = (-14) * (1/2)^(7-1),
a7 = (-14) * (1/2)^6,
a7 = (-14) * (1/64),
a7 = -14/64,
a7 = -7/32.
Therefore, the seventh term of the geometric sequence is -7/32.
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Is this correct? Ive done this a million times and they always come out the same, but I still get it wrong.
Answer:
No, the correct answer is 32cm.
Step-by-step explanation:
First of all, lets cut the shape into two. A rectangle and a triangle. This will help us find the slanted side of the shape.
We will use the pythagorean theorem to find the length of the slanted line.
The pythagorean theorem is \(a^{2} +b^{2} =c^{2}\).
Input the given information of the triangle lengths that we know; that is the length= 6 and the base=3.
\(c= \sqrt{a^{2}+b^{2} } =\sqrt{6^{2}+\ 3^{2} } = 6.7082\)
Now, we round.
6.7082≈ 6.7
We have found the length of the slanted line of the shape.
Now, let's add all the lengths together.
8+6+6.7+11= 31.7
Now, lets round.
31.7 ≈ 32cm
Hope this helps!
I'm very confused on this.
Find the missing side
Answer:
72
Step-by-step explanation:
The pythagorean theorem states that in a right triangle A^2 + B^2 = C^2 where A and B are the two smaller sides and C is the hypotenuse.
Because of this, in this triangle 30^2 + B^2 = 78^2
Which means B^2 = 5184
And B = 72
What is the relationship between the factors and the graph of a polynomial equation??
Answer:
Each intercept corresponds to a zero of the polynomial function and every zero yields a factor.
Step-by-step explanation:
Each intercept corresponds to a zero of the polynomial function and every zero yields a factor, so we can now write the polynomial in factored form. Graphs behave differently at various intercepts. Sometimes, the graph will cross over the horizontal axis at an intercept. Other times, the graph will touch the horizontal axis and bounce off.
A construction worker needs to put a rectangular window in the side of a
building. He knows from measuring that the top and bottom of the window
have a width of 8 feet and the sides have a length of 15 feet. He also
measured one diagonal to be 17 feet. What is the length of the other
diagonal?
OA. 23 feet
OB. 15 feet
O C. 17 feet
OD. 8 feet
Answer:The length of the other diagonal is: C. 15 feet.
Step-by-step explanation:
Inez is saving money to buy a dress for the homecoming dance. The dress costs $345. She has
saved $57 and each week she adds $12 to her savings. How many weeks will it take her to save
enough money to buy the dress?
Answer:
w4riqh3w4uonq3vtnq9358vtv33174
Step-by-step explanation:
Answer:
24 weeks
Step-by-step explanation:
We need to subtract how much she has now from the total cost which gives us 288. then we divide the new cost by the amount she makes a week to get 24. Which makes it so she needs to work for 24 weeks before she can buy the dress.
if three less than one half a number is equal to one-third of the same number, find the number
Answer: The number would be 18
Step-by-step explanation:
18/2=9 9-3=6 6*3=18
The equation be (x/2) - 3 = x/3 then, the number of x = 18.
How to estimate the value of x?To estimate the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to estimate the result.
Let x be the number
From the given information, we get
(x/2) - 3 = x/3
The set all the fractions on one side and constants on another side
(x/2) - (x/3) = 3
Multiply by LCM
3x - 18 = 2x
Add 18 to both sides
3x - 18 + 18 = 2x + 18
simplify
3x = 2x + 18
Subtract 2x from both sides
3x - 2x = 2x + 18 - 2x
x =18.
Therefore, the number is x = 18.
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A machine that originally cost $15,600 has a value of $7500 at the end of 3 years. the same machine has a value of $2800 at the end of 8 years. find the average rate of change in value (depreciation) of the machine between its purchase and the end of 3 years. a. -$3200 per year c. $-5400 per year b. -$2700 per year d. $2700 per year
A) The rate for the first 3 years :
15,600 - 7500 = 8100
8100/3 years = 2,700 per year depreciation.
B) The rate between 3 and 8 years:
7500 - 2800 = 4700
4700 / 5 year = 940 per year depreciation.
C) the value of the machine depreciated at a higher rate in the first 3 years. After the first 3 years, the depreciation rate decreased.
VYWY
ZYXY
Z
W
Are triangles ZYV and XYW congruent?
O Yes, by SAS
OYes by SSA
O No, they are facing opposite directions
O No, not enough information
Yes, the triangles are congruent.
Given that a figure, where VY ≅ WY and ZY ≅ XY, we need to see whether the triangles ZYV and XYW are congruent,
So, in triangles ZYV and XYW,
VY ≅ WY [given]
ZY ≅ XY [given]
∠ZYV ≅ ∠XYW [vertical angles]
Therefore, the triangles ZYV and XYW are congruent, by SAS rule.
Hence the triangles are congruent.
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Hannah brought $40. 50 to the state fair. She bought a burger, a souvenir, and a pass. The burger was 1/4 as much as the souvenir, and the souvenir cost 2/3 the cost of the pass. Hannah had $2. 00 left over after buying these items
The cost of the souvenir is approximately $15.92.
Let's assume the cost of the souvenir is S.
According to the given information, the cost of the burger is 1/4 of the cost of the souvenir, which means the cost of the burger is (1/4)S.
The cost of the pass is 2/3 of the cost of the souvenir, which means the cost of the pass is (2/3)S.
Hannah had $2.00 left over after buying these items, so we can write the equation:
$40.50 - (1/4)S - S - (2/3)S = $2.00
To solve for S, we'll combine like terms:
$40.50 - (9/12)S - (12/12)S - (8/12)S = $2.00
$40.50 - (29/12)S = $2.00
Next, we'll isolate the variable by subtracting $40.50 from both sides:
-(29/12)S = $2.00 - $40.50
-(29/12)S = -$38.50
To solve for S, we'll divide both sides by -(29/12):
S = (-$38.50) / -(29/12)
S ≈ $15.92
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What is the value of X?
Answer:
I think the answer for this question is 2.24cm
What do zeros tell us in this situation
Answer:
zero called 1 in this situation
Step-by-step explanation:
its your ans
….: 5 : 6 : 7= 24 :15 : …. :…. What is the missing number?
Step-by-step explanation:
3×5 = 15
so, the first number n×3 = 24, n = 8
an and then we have
8 : 5 : 6 : 7 = 24 : 15 : 18 : 21
What does it mean when 2 triangles are congruent?.
what are the two possibilities for its x component? enter your answers numerically separated by a comma.
The two possibilities for the x component are numerical values that need to be provided for a specific context or problem.
In order to determine the two possibilities for the x component, more information is needed regarding the context or problem at hand. The x component typically refers to the horizontal direction or axis in a coordinate system.
Depending on the scenario, the x component can vary widely. For example, if we are discussing the position of an object in two-dimensional space, the x component could represent the object's horizontal displacement or coordinate.
In this case, the two possibilities for the x component could be any two numerical values along the horizontal axis. However, without further context, it is not possible to provide specific numerical values for the x component.
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The snallest flowering plant is the flowering aquatic duckweed found in australia. it is 0.0236 inch long and 0.0129 inch wide. write these dimensions as fractions in simplest form.
The dimension of the smallest flowering plant is 59/2500 in. long and 129/10,000 in. wide.
To convert Decimal into Fraction form:
Do the following Steps:
Step 1: Make a fraction with the decimal number as the numerator and a 1 as the denominator.
Step 2: Remove the decimal places by multiplication.
Step 3: Reduce the fraction.
Step 4: Simplify the remaining fraction to a mixed number fraction if possible.
Given,
The smallest flowering plant is the flowering aquatic duckweed found in Australia.
And it is 0.0236 inch long and 0.0129 inch wide.
Here we need to write these dimensions as fractions in simplest form.
Rewrite the decimal number as a fraction with 1 in the denominator
So,
=> 0.0236/1 and 0.0129/1
Now, Multiply to remove 4 decimal places. Here, you multiply top and bottom by 10⁴ = 10000.
Then we get,
=> 236/10000 and 129/10000
Now, reduce the fraction by dividing both numerator and denominator by GCF = 4,
=> 59/2500
But the fraction 129/10000 is not reducible.
Therefore, the fraction form is,
=> 59/2500 in. long and 129/10,000 in. wide.
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What is the unit rate for meters per second if a car travels 480 meters in 24 seconds?
...
The unit rate is ____ meter(s) per second.
8.1x - 4.5y = 5.4
what does y equal
Consider the following data drawn independently from normally distributed populations: (You may find it useful to appropriate table: z table or t table)
xˉ1 = −17.1
s1^2 = 8.4
n1=22
xˉ2 = −16.0
s2^2 = 8.7
n2 = 24
a. Construct the 90% confidence interval for the difference between the population means. Assume the population va unknown but equal. (Round final answers to 2 decimal places.)
confidence interval is __ to __
The 90% confidence interval for the difference in the population means is -2.51 to 0.31
Calculating the 90% confidence interval for the population mean differenceFrom the question, we have the following parameters that can be used in our computation:
xˉ₁ = −17.1
s₁² = 8.4
n₁ = 22
xˉ₂ = −16.0
s₂² = 8.7
n₂ = 24
Calculate the pooled variance using
P = (df₁ * s₁² + df₂ * s₂²)/df
Where
df₁ = 22 - 1 = 21
df₂ = 24 - 1 = 23
df = 22 + 24 - 2 = 44
So, we have
P = (21 * 8.4 + 23 * 8.7)/44
P = 8.56
Also, we have the standard error to be
SE = √(P/n₁ + P/n₂)
So, we have
SE = √(8.56/22 + 8.56/24)
SE = 0.86
The z score at 90% CI is 1.645, and the CI is calculated as
CI = (x₁ - x₂) ± z * SE
So, we have
CI = (-17.1 + 16.0) ± 1.645 * 0.86
This gives
CI = -1.1 ± 1.41
Expand and evaluate
CI = (-2.51, 0.31)
Hence, the confidence interval is -2.51 to 0.31
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Please help thank you! Sorry for spamming
Answer:
B
Step-by-step explanation:
because of order if operations.
Answer:
B
Step-by-step explanation:
The rule of PEMDAS states to start from parenthesis. To get your correct answer, you would need to prioritize what comes first going left to right.
If you were to select A, (/5) would be prioritized. D. Has the order placed in correctly, as well as C.
Can someone double check my answers real quick?
Answer:
its correct
Step-by-step explanation:
check
Choose the equivalent expression:
Answer:
The answer is 125m^6
Step-by-step explanation:
Step 1: 5^3 (m^2)^3
Step 2: 125(m^2)^3
Step 3: Finally you get 125m^6
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I also took this and got it right!!
Jonathon is shopping for a square painting.Each side measures 9.4 inches.What is the Area of the painting?
Answer:
the answer is 88.36 inches
Step-by-step explanation:
because he wants a square painting and the painting each side length is 9.4 so, we use the formula l square and we get the answer