If cos θ= 12 /13 and θ is located in the Quadrant I, find sin (2 θ ), cos(2 θ ), tan(2 θ )
Answers
Answer:
\(\cos 2 \theta = \dfrac{119}{169}\\\\\sin2 \theta = \dfrac{120}{169}\\\\\tan 2\theta = \dfrac{120}{119}\)
Step-by-step explanation:
\(\text{Given that,} \cos \theta = \dfrac{12}{13}\\ \\\text{Now,}\\\\\cos 2 \theta = 2 \cos^2 \theta - 1\\\\\\~~~~~~~~~=2 \left( \dfrac{12}{13} \right)^2 - 1\\\\\\~~~~~~~~~=2 \left( \dfrac{144}{169} \right) - 1\\\\\\~~~~~~~~~=\dfrac{288}{169}-1\\\\\\~~~~~~~~~=\dfrac{119}{169}\)
\(\sin 2\theta = 2 \sin \theta \cos \theta\\\\\\~~~~~~~~=2\sqrt{1 -\cos^2 \theta} \cdot \cos \theta~~~~~~~~~~~;[\text{In quadrant I, all ratios are positive.}]\\\\\\~~~~~~~~=2 \sqrt{1- \left( \dfrac{12}{13} \right)^2} \cdot \left(\dfrac{12}{13} \right)\\\\\\~~~~~~~~=\left( \dfrac{24}{13} \right) \sqrt{1- \dfrac{144}{169}}\\\\\\~~~~~~~~=\dfrac{24}{13}\sqrt{\dfrac{25}{169}}\\\\\\~~~~~~~=\dfrac{24}{13} \times \dfrac{5}{13}\\\\\\~~~~~~=\dfrac{120}{169}\)
\(\tan 2 \theta = \dfrac{\sin 2\theta}{\cos 2\theta}\\\\\\~~~~~~~~~=\dfrac{\tfrac{120}{169}}{ \tfrac{119}{169}}\\\\\\~~~~~~~~~=\dfrac{120}{169} \times \dfrac{169}{119}\\\\\\~~~~~~~~~=\dfrac{120}{119}\)
Related Questions
The PayDay loan company lends you $500. After 2 weeks pay you pay back $520. What is the simple interest rate? Note that the times is a fraction of a year.
Answers
Answer:
Explanation:
• Loan Amount = $500
,• Time = 2 weeks
,• The amount paid pack = $520
We want to determine the simple interest rate.
First, find the amount paid as interest:
\(\)find the length of the angle inducated for each trapezoid.
Answers
First things first: all quadrilateral have an interior of 360⁰. With that info, you can do your exercice.
the first one:
the angle P =90⁰
the angle Q=90⁰
So you do the deduction:
360⁰-90⁰-90⁰-65⁰= 115⁰
the second one:
the angle F=60⁰
so you do the same thing as number one:
360⁰-60⁰-60⁰= 240⁰
240⁰/2= 120⁰
Voilà!
Can someone please help me with the square root question?
Answers
Answer:
a ≈ 9.8 yd³
Step-by-step explanation:
Given: V ≈ 941 yd³
Using the formula: V = a³
Solving for a: A = \(V^{\frac{1}{3} }\) = \(941^{\frac{1}{3} }\) ≈ 9.79933
Round to the nearest tenth: a ≈ 9.8
A bank account gathers compound interest at a rate of 5% each year.
Another bank account gathers the same amount of money in interest by
the end of each year, but gathers compound interest each month.
If Abraham puts £4300 into the account which gathers interest each
month, how much money would be in his account after 2 years and
5 months?
Give your answer in pounds to the nearest 1p.
Answers
Answer:
£4838.11
Step-by-step explanation:
You want the amount in an account after 2 years and 5 months if interest is compounded monthly with an effective rate of 5% per year. The beginning balance is £4300.
Effective rateIf the amount of interest earned from monthly compounding is identical to the amount earned by annual compounding, the effective monthly multiplier is ...
1.05^(1/12) ≈ 1.00407412
which is an effective monthly rate of 0.407412%, and an annual rate of 12 times that, about 4.88895%.
The balance after 29 months using the monthly rate of 0.407412% will be ...
£4300·1.00407412^29 ≈ £4838.11
__
Additional comment
The key wording here is that the monthly compounding results in the same amount of interest being earned as for annual compounding at 5%. That is, the effective rate of the interest compounded monthly is 5% over a year's time.
A rare disease exists with which only 1 in 500 is affected. A test for the disease exists, but of course it is not infallible. A correct positive result (patient actually has the disease) occurs 95% of the time, while a false positive result (patient does not have the disease) occurs 1% of the time. If a randomly selected individual is tested and the result is positive, what is the probability that the individual had the disease?
Answers
There is a 16% probability that the individual actually had the disease given a positive test result.
The probability that the individual had the disease can be calculated as follows:
Let A = Event of testing positive and actually having the disease
Let B = Event of testing positive but not actually having the disease
We are looking for P(A|B), which is the probability of actually having the disease given a positive test result.
Using Bayes' Theorem, we have:
P(A|B) = P(A) * P(B|A) / P(B)
Bayes' theorem is a mathematical formula used in probability theory to calculate the probability of an event based on prior knowledge of conditions that might be related to the event.
It states that the conditional probability of an event A given event B is equal to the product of the probability of event B and the conditional probability of event A given event B, divided by the probability of event B. The formula is represented as P(A|B) = P(B|A) * P(A) / P(B).
Where:
P(A) = 1/500 (probability of having the disease)
P(B|A) = 0.95 (probability of a correct positive result given that the individual has the disease)
P(B) = P(B|A) * P(A) + P(B|A') * P(A') (probability of a positive test result)
= 0.95 * 1/500 + 0.01 * 499/500 (probability of a false positive result given that the individual does not have the disease)
Plugging in the values, we have:
P(A|B) = (1/500) * 0.95 / [0.95 * 1/500 + 0.01 * 499/500] = 0.16 or 16%
Therefore, there is a 16% probability that the individual actually had the disease given a positive test result.
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What is 2.5 kg in lbs and ounces?
Answers
2.5 kg is equal to 5.51156 pounds and 88.18496 ounces.
Weight is a measure of how heavy an object is, and it is typically measured in units such as pounds (lbs) and ounces. The kilogram (kg) is also a unit of weight, and it is the base unit of mass in the International System of Units (SI).
To convert 2.5 kg to pounds and ounces, we first need to understand the relationship between these units. One kilogram is equal to approximately 2.20462 pounds. So, to convert 2.5 kg to pounds, we can multiply 2.5 by 2.20462, which gives us approximately 5.51156 pounds.
To convert the pounds to ounces, we know that 1 pound is equal to 16 ounces. To get the ounces from pounds, we can multiply the pounds by 16, so 5.51156 pounds is equal to 88.18496 ounces.
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What is the linear function equation that best fits the data set? 1) y = -2x + 5. 2) y = 2x + 5. 3) y = -1/2x + 5. 4) y = 1/2x - 5.
Answers
Without specific information about the data set, it is not possible to determine which equation is the best fit.
To determine the linear function equation that best fits the data set, we need more information about the data set itself. Without the data points or any other details, we cannot accurately determine which linear function equation is the best fit.
However, I can provide a general explanation of the four options:
y = -2x + 5: This is a linear equation with a negative slope of -2. It represents a line that decreases as x increases. The y-intercept is 5.
y = 2x + 5: This is a linear equation with a positive slope of 2. It represents a line that increases as x increases. The y-intercept is 5.
y = -1/2x + 5: This is a linear equation with a negative slope of -1/2. It represents a line that decreases at a slower rate as x increases. The y-intercept is 5.
y = 1/2x - 5: This is a linear equation with a positive slope of 1/2. It represents a line that increases at a slower rate as x increases. The y-intercept is -5.
Without specific information about the data set, it is not possible to determine which equation is the best fit. The best fit would depend on how well the equation aligns with the actual data points.
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Help !!!
Which of these could be the value of x in the triangle below?
50
29
4x
43
87
22
O 5
07
10
Answers
10 maybe? I don't really know but maybe 10 will be right?????
AD=DB and AE =EC
M
EF= 6
M
I0pts
Answers
Answer:
32 deg
Step-by-step explanation:
AD = DB and AE = EC
Then segment DE is parallel to segment BC by a theorem.
Angles AED and ECF are corresponding angles of parallel lines cut by a transversal, so they are congruent.
m<ECF = m<AED = 32 deg
This shape is made up of one half-circle attached to an equilateral triangle with side lengths 20 inches. You can use 3. 14 as an approximation for π
Answers
If the shape is made up of one half-circle attached to an equilateral triangle with side lengths 20 inches then, the perimeter of the shape is 91.4 inches.
To find the perimeter of the shape, we need to know the length of the curved boundary (the circumference of the half-circle) and the length of the straight boundary (the perimeter of the equilateral triangle).
The radius of the half-circle is half the length of the side of the equilateral triangle, which is 10 inches. Therefore, the circumference of the half-circle is:
C = πr = π(10) = 31.4 inches.
The perimeter of the equilateral triangle is 3 times the length of one side, which is 20 inches. Therefore, the perimeter of the triangle is:
P = 3s = 3(20) = 60 inches
Finally, the perimeter of the entire shape is the sum of the lengths of the curved and straight boundaries:
Perimeter = C + P = 31.4 + 60 = 91.4 inches.
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Complete Question
This shape is made up of one half-circle attached to a square with side lengths 11 inches. Find the perimeter of the shape.
You can use 3.14 as an approximation for π. help i don't know it.
The solid figure is separated along the dotted line into two rectangular prisms.
What are the volumes of the two rectangular prisms?
What is the volume of the solid figure?
Use the drop-down menus to show your answer.
The volume of two rectangular prisms are
(put the answer)
cubic inches and 128 cubic inches. The volume of the solid figure is
(put the answer)
cubic inches.
Answers
Answer:
its b easy dubs
Step-by-step explanation:
Consider a fractal line with fractal dimension D. The mean-square distance between monomers u and v along this line is ⟨(R(u)−R(v))2⟩=b2(v−u)2/D. Calculate the mean-square end-to-end distance R2 and radius of gyration Rg2 for this fractal line. Determine the ratio R2/Rg2 symbolically and then calculate this ratio for fractal dimensions D=1,1.7 and 2 .
Answers
The mean-square end-to-end distance for the fractal line is ⟨R2⟩ = b².L^(1-D).
The mean-square end-to-end distance for the fractal line is as follows.⟨R2⟩ = ⟨(R(u)- R(v))^2⟩ for u = 0 and v = L where L is the length of the line.⟨R2⟩ = b²/L^2.D.L = b².L^(1-D).
Thus, the mean-square end-to-end distance for the fractal line is ⟨R2⟩ = b².L^(1-D).
The radius of gyration Rg is defined as follows.
Rg² = (1/N)∑_(i=1)^N▒〖(R(i)-R(mean))〗²where N is the number of monomers in the fractal line and R(i) is the position vector of the ith monomer.
R(mean) is the mean position vector of all monomers.
Since the fractal dimension is D, the number of monomers varies with the length of the line as follows.N ~ L^(D).
Therefore, the radius of gyration for the fractal line is Rg² = (1/L^D)∫_0^L▒〖(b/v^(1-D))^2 v dv〗 = b²/L^2.D(1-D). Thus, Rg² = b².L^(2-D).
The ratio R²/Rg² is given by R²/Rg² = L^(D-2).
When D = 1, R²/Rg² = 1/L. When D = 1.7, R²/Rg² = 1/L^0.7. When D = 2, R²/Rg² = 1/L.
This provides information on mean-square end-to-end distance and radius of gyration for fractal line with a given fractal dimension.
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I never asked a question before but I’ll see if I can give Brainlyest
Answers
Answer:
I’m not sure what the question is, but if it’s simplifying with like terms, then the answer is 8x+1.
Step-by-step explanation:
Hello, I’ll do my best to help you out :D
To begin, here are all the parts of an algebraic expression.
Example: -4+5+5x+3x
In an algebraic expression, there are many separate parts.
Coefficient: A number that is being multiplied by the variable a.k.a the number in front of the variable.
- In this equation, the coefficients are 5 and 3 (5x and 3x)
Variable: A symbol in place of a number.
- In this equation, the variable would be x.
Constants: A value or number that never changes.
- In this equation, the constants would be -4 and 5.
Now let’s move on to like terms/simplifying like terms!
Like terms are basically values that are the same (ex. constants, variables).
Example of like terms: 3x, -4x
Not an example of like terms: 6y, 3x
Now that we know what like terms are, here is how we simplify.
Using this equation, let’s separate them into like terms.
In this equation, the constants are -4 and 5. So, we can add those together, which equals 1.
There are two numbers left now, 5x and 3x. Since those both have a variable, we can also add those together. 5x + 3x = 8x.
If you wanted to write out what we just did: (-4+5) + (5x+3x)= ?
Now, since we have 8x and 1, all we have to do is add those together, which is how you get the answer of 8x+1.
I really hope this helps, let me know if I got anything wrong! Let me know if you have any questions! :)
in 2010, the population of a city was 179,000. from 2010 to 2015, the population grew by 6.6%. from 2015 to 2020, it fell by 3.4%. to the nearest whole number, by what percent did the city grow from 2010 to 2020?
Answers
the city grew by approximately 3 percent from 2010 to 2020.
To find out the percent growth from 2010 to 2020, we need to calculate the net percent change over the entire time period. We can start by finding out the population of the city in 2015.
From 2010 to 2015, the population grew by 6.6%. Using this percentage increase, we can find the population in 2015 by multiplying the 2010 population by 1.066:
179,000 x 1.066 = 190,294
Therefore, the population in 2015 was approximately 190,294.
From 2015 to 2020, the population fell by 3.4%. Using this percentage decrease, we can find the population in 2020 by multiplying the 2015 population by 0.966:
190,294 x 0.966 = 183,902
Therefore, the population in 2020 was approximately 183,902.
To find the net percent change from 2010 to 2020, we can use the formula:
[(final value - initial value) / initial value] x 100
Plugging in the numbers we found, we get:
[(183,902 - 179,000) / 179,000] x 100 = 2.7%
Therefore, to the nearest whole number, the city grew by approximately 3% from 2010 to 2020.
The city experienced a period of growth from 2010 to 2015, followed by a period of decline from 2015 to 2020. However, overall, the city still managed to grow by approximately 3% over the entire time period.
1. Calculate the population in 2015 by applying the 6.6% growth:
2015 Population = 179,000 * (1 + 6.6/100) = 179,000 * 1.066 ≈ 190,814
2. Calculate the population in 2020 by applying the 3.4% decline:
2020 Population = 190,814 * (1 - 3.4/100) = 190,814 * 0.966 ≈ 184,302
3. Calculate the overall percentage growth from 2010 to 2020:
Percentage Growth = ((2020 Population - 2010 Population) / 2010 Population) * 100
Percentage Growth = ((184,302 - 179,000) / 179,000) * 100 ≈ 2.96%
Considering the population growth and decline in the respective periods, the city's population grew by approximately 3% from 2010 to 2020, to the nearest whole number.
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PLEASE HELP
4. By what would you multiply the top equation by to eliminate x?
x + 3y = 9
-4x + y = 3
4
-3
-4
Answers
By what would you multiply the top equation by to eliminate x: A. 4.
How to solve these system of linear equations?In order to determine the solution to a system of two linear equations, we would have to evaluate and eliminate each of the variables one after the other, especially by selecting a pair of linear equations at each step and then applying the elimination method.
Given the following system of linear equations:
x + 3y = 9 .........equation 1.
-4x + y = 3 .........equation 2.
By multiplying the equation 1 by 4, we have:
4(x + 3y = 9) = 4x + 12y = 36
By adding the two equations together, we have:
4x + 12y = 36
-4x + y = 3
-------------------------
13y = 39
y = 39/13
y = 3
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Most analysts focus on the cost of tuition as the way to measure the cost of a college education. But incidentals, such as textbook costs, are rarely considered. A researcher at Drummand University wishes to estimate the textbook costs of first-year students at Drummand. To do so, she monitored the textbook cost of 250 first-year students and found that their average textbook cost was $300 per semester. Identify the sample in the study.
a. All college students
b. All first-year Drummand University students
c. The 250 students that were monitored
d. All Drummand University students
Answers
In the given study, the sample is identified as "c. The 250 students that were monitored. In statistics, a sample is a subset of the population that has been chosen to represent the entire population for study and analysis. Hence, option c) is the correct answer.
Sampling is a crucial component of statistical research since it enables us to draw conclusions regarding the population's characteristics and behavior. A sample is a representative of the population as a whole, chosen to represent the characteristics of the population. It is drawn from a population to examine, evaluate and infer outcomes or generalizations of the entire population.
The given study aims to estimate the textbook costs of first-year students at Drummand University by monitoring the textbook cost of 250 first-year students. Therefore, "c. The 250 students that were monitored" is the sample in the study.
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Assume the four intersecting lines are parallel. In this figure, A = 36, B = 24, and C = 60 . If D = 33,
what are the measurements of E and F?
Answers
Using the proportionality theorem, the measurements are: c. E = 22 and F = 55.
What is the Proportionality Theorem?If two transversals intersect three or more parallel lines, they divide the lines in such a way that the smaller segments are proportional to each other or have ratios that are equal to each other.
Given the following:
A = 36,
B = 24,
C = 60
D = 33.
Since all lines are parallel, then:
A/D = B/E = C/F
Find the measure of E using the ratio, A/D = B/E:
36/33 = 24/E
Cross multiply
E = (24 × 33)/36
E = 22
Find the measure of F using the ratio, A/D = C/F:
36/33 = 60/F
Cross multiply
F = (60 × 33)/36
F = 55
The answer is: c. E = 22 and F = 55.
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10.4. RUN #I Let the square wave function f(t), defined below over the domain 0 ≤t≤1₂: >={₁ B f(t)= A for for 1₁ <1≤1₂ 0≤1≤1₁ be a periodic function (f(t) = f(t±nT)), for any integer n, and period T=1₂. Create a plot using Matlab of f(t), using 100 points, over 2 periods for the following functions: (1)fi(t) defined by A-5, B=-5, 12-2 seconds and t₁=1 seconds. (2) f2(1) defined by A-6, B=-3, 12-3 seconds and 11=2 seconds (3) f3(1) defined by A-3, B=0, t2=2 seconds and t₁=1/2 seconds (4) f4 (1) defined by f4(t) = -f(t) (5) fs (1) defined by A-5, B=-3, 1₂2=2 seconds and t₁=1 seconds (6) f6 (1) fi(t) +f 3 (t) (7) fr (t)=f1 (1) *1 (8) fs (t)=f7 (1) + f2 (1)
Answers
Step 1: The plot shows the square wave function f(t) over 2 periods for various functions defined by different values of A, B, and time intervals.
Step 2:
The given question asks us to plot the square wave function f(t) using MATLAB for different variations of the function. Let's analyze each part of the question and understand what needs to be done.
In the first step, we are asked to plot fi(t) defined by A=-5, B=-5, t₁=1 seconds, and 12-2 seconds. This means that for the time interval 0 to 1₁, the function has a value of A=-5, and for the time interval 1₁ to 1₂, the function has a value of B=-5. We need to plot this function using 100 points over 2 periods, which means we will plot the function for the time interval 0 to 2 periods.
In the second step, we are asked to plot f2(t) defined by A=-6, B=-3, t₁=1 seconds, and 12-3 seconds. Similar to the first step, we will plot this function over 2 periods.
In the third step, we have f3(t) defined by A=-3, B=0, t₁=1/2 seconds, and t2=2 seconds. Again, we will plot this function over 2 periods using MATLAB.
In the fourth step, we need to plot f4(t) defined as the negative of the square wave function f(t). This means that for the time interval 0 to 1₁, the function will have a value of -A, and for the time interval 1₁ to 1₂, the function will have a value of -B. We will plot this function over 2 periods.
In the fifth step, we are asked to plot fs(t) defined by A=-5, B=-3, t₁=1 seconds, and 1₂2=2 seconds. Again, we will plot this function over 2 periods.
In the sixth step, we need to plot f6(t) which is the sum of fi(t) and f3(t). We will plot this function by adding the corresponding values of fi(t) and f3(t) at each time point over 2 periods.
In the seventh step, we are asked to plot fr(t) which is the product of f1(t) and the constant 1. This means that the values of f1(t) will remain the same, and we will multiply each value by 1. We will plot this function over 2 periods.
In the eighth and final step, we need to plot fs(t) which is the sum of fr(t) and f2(t). Similar to the previous steps, we will plot this function by adding the corresponding values of fr(t) and f2(t) at each time point over 2 periods.
Step 3:
The given question requires us to plot the square wave function f(t) with different variations. Each variation involves specific values of A and B, as well as different time intervals. By following the instructions, we can create the desired plots using MATLAB and visualize the resulting waveforms.
The first step involves plotting fi(t) with A=-5, B=-5, t₁=1 second, and 12-2 seconds. This means that the function will have a value of -5 for the first half of the time interval and -5 for the second half. By plotting this waveform over 2 periods using 100 points, we can observe the square wave with the given characteristics.
In the second step, we plot f2(t) with A=-6, B=-3,
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25 points look at picture need help asap
Answers
I think its B
not 100% sure tho
The equation a = 50m + 100 represents the amount of money in Malorie’s bank account as a function of time, in months. The table shows the amount in Katina’s bank account for a period of several months.
Month 0 1 2 3 4 5
Katina's Bank Account 200 220 240 260 280 300
A. How much money is in Malorie’s bank account when Katina has $280 in her account? Show your work.
B. Whose account changes at a greater rate? Show your work.
Answers
Answer:
A: 300 B: Malorie
Step-by-step explanation: Katina's account starts at $200 and increases by $20 each month. Malorie starts at only $100 but increases at a rate of $50 per month. for "A", Katina is 4 months in which equals $280. so, you take Malorie's $50 rate times the 4 months and you get $200. You then add that $200 to the starting $100 to equal $300.
B: 50m>20m. Malorie's monthly rate is listed in the equation as $50. Katina's rate of $20 comes from the $20 increase in her account each month.
Eric drove 268 miles using 12 gallons of gas. At this rate, how many miles would he drive using 9 gallons of gas?
Answers
Answer: 201
Step-by-step explanation: Ok this is very simple for those of you who are stuck on this. First you divide 12 by 268. You would get 22 with a remainder of 4. This in fractions would be 22 1/3. So he would be driving 22 1/3 miles with 1 galloon of gas. If you multiply this by 9 you would get 201 miles which is how much he can drive in 9 gallons of gas.
Hoped this helped!
please help me pleeeeeeaaassseee
Answers
Answer:
Step-by-step explanation:
answer no 3:
1] Factor out the common term 2.
2(3x+y) = -26
2] Divide both sides by 2.
3x+y= -26/2
3x+y = − 13
3]Subtract y from both sides.
3x = - 13-y
4] Divide both sides by 3.
x = -13-y/3
Part 2:-
Add 6y to both sides.
x=21+6y
x=21+6y
Lisa lives out in the country with her seven cats and avoids driving into the big city as much as possible. She has decided to make her own cat food and has the following nutritional guidelines. Each four ounce portion must contain 20 units of protein, 15 units of vitamin A, and 10 units of vitamin B. She has eggs, tomatoes, and chicken meat as possible inputs to her cat food. Each ounce of eggs contains 5 units of protein, 4 units of Vitamin A, and 3 units of Vitamin B. Each ounce of tomatoes contains 1 unit of protein, 5 units of Vitamin A, and 14 units of Vitamin B. Each ounce of chicken contains 22 units of protein, 14 units of Vitamin A, and 5 units of Vitamin B. Chicken costs 40 cents per ounce, tomatoes cost 8 cents per ounce, and eggs cost 12 cents per ounce.
Referring to Scenario D.1, assume that an optimal serving contains 0.89 ounces of chicken
and 0.52 ounces of tomatoes. Which of the following statements is BEST?
The serving costs about 20 cents.
The serving costs about 30 cents
The serving costs about 50 cents.
The serving costs about 40 cents.
Answers
the BEST statement is: The serving costs about 40 cents.
To determine the cost of the optimal serving, we need to calculate the cost per serving based on the quantities of chicken and tomatoes used.
Given that an optimal serving contains 0.89 ounces of chicken and 0.52 ounces of tomatoes, we can calculate the cost as follows:
Cost of chicken =\(0.89 ounces * $0.40/ounce\)
Cost of tomatoes = \(0.52 ounces * $0.08/ounce\)
Total cost = Cost of chicken + Cost of tomatoes
Total cost =\((0.89 * $0.40) + (0.52 * $0.08)\)
Total cost =\($0.356 + $0.0416\)
Total cost ≈\($0.3976\)
Rounding to the nearest cent, the cost of the optimal serving is about 40 cents.
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Lila has a monthly car budget of $475. She pays $274 for her car payment. She likes to get car washes that cost
$14 each. What are viable numbers of car washes Lila can purchase based on the constraint of her monthly
budget?
Answers
Answer:
14.571 time she gets her car washed
Step-by-step explanation:
"Thunder Dan," (as the focats call him, decides if the wants to expand, he wit need more space. He decides to expand the size of the cirrent warehouse. This expansion will cost him about $400.000 to conatruct a new side to the bulding. Using the additionat space wisely, Oan estimntes that he will be able to ponerate about $70,000 more in sales per year, whlle incuiting $41,500 in labce and variable cests of gooss Colculate the amount of the Net Capital Expenditure (NCS) an the profect below. Muluple Chose −$2.200000 +230.000 −5370,000 −5400000 -5271,500 −$70,000
Answers
The Net Capital Expenditure (NCS) for the project is -$428,500.
The Net Capital Expenditure (NCS) for the project can be calculated as follows:
NCS = Initial Cost of Expansion - Increase in Annual Sales + Increase in Annual Expenses
NCS = -$400,000 - $70,000 + $41,500
NCS = -$428,500
Therefore, the Net Capital Expenditure (NCS) for the project is approximately -$428,500.
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What is the value of x?
Answers
Answer:
x=107 degree(being vertically oppostite angle)
Step-by-step explanation:
A department store has an odd, but logical way of pricing their toys
A doll was $17
A kite was $14
A pair of skates was $24
using this logic, how much would Legos cost?
hint: it has to do with vowels and consonants
I can't figure it out
Answers
The cost of Legos, given that this is based on vowels and consonants would be $ 19.
How to find the cost ?The vowels and consonants can be arranged such that:
Doll - 1 vowel (o), 3 consonants ( d , l , l ) - $ 17
Kite - 2 vowels ( i, e ) , 2 consonants ( k, t) - $ 14
Skates - 2 vowels ( a, e ), 4 consonants ( s, k , t , s) - $24
Using this, we can solve for vowels and consonants such that cost per vowel is $2, and the cost per consonant is $5.
The cost of Legos is based on 2 vowels (e, o) and 3 consonants (L, g, s)
= ( 2 x 2 ) + ( 5 x 3 )
= $ 19
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What is the probability that a card drawn randomly from a standard deck of 52 cards is a five? Express your answer as a fraction in the lowest terms or a decimal rounded to the nearest millionth.this is what i believe the answer to be but i wanted to make sureThere are total of 52 cards in a standard deckThe card is selected randomlyFrom 52 cards total 2 fives in a deck Required probability = 2/52= 1/26
Answers
According to the given information and what we know about a standard deck of cards, there are 4 fives in a deck of 52 cards.
To find the probability of drawing a five divide the number of fives by the total number of cards:
\(\frac{4}{52}=\frac{2}{26}=\frac{1}{13}\)What is the solution of the inequality shown
below?
y+7≤-1
Answers
The solution to the inequality is y ≤ -8. This means that any value of y that is less than or equal to -8 will satisfy the original inequality.
To solve the inequality y + 7 ≤ -1, we need to isolate the variable y on one side of the inequality sign.
Starting with the given inequality:
y + 7 ≤ -1
We can begin by subtracting 7 from both sides of the inequality:
y + 7 - 7 ≤ -1 - 7
y ≤ -8
The solution to the inequality is y ≤ -8. This means that any value of y that is less than or equal to -8 will satisfy the original inequality.
In the context of a number line, all values to the left of -8, including -8 itself, will make the inequality true. For example, -10, -9, -8, -8.5, and any other value less than -8 will satisfy the inequality. However, any value greater than -8 will not satisfy the inequality.
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The following question may be like this:
What is a solution of the inequality shown below? y+7≤-1
Solve the question.
