b. y = sin x
c. y = sec x
d. y = cos x
The function is even will be y = sec x and y = cos x. Then the correct options are C and D.
Even Function - A true function f(x) is said to be an even function if the output value of f(-x) is the same as the f(x) for all values of x in the domain of f.
The equation should be stored in an even function:
f(-x) = f(x)
Check all that apply.
a. y = csc x, then replace x with -x. Then we have
y = csc -x
y = 1/sin -x
y = - 1/ sin x
y = -csc x
b. y = sin x, then replace x with -x. Then we have
y = sin -x
y = - sin x
c. y = sec x, then replace x with -x. Then we have
y = sec-x
y = 1/cos -x
y = 1/ cos x
y = sec x
d. y = cos x, then replace x with -x. Then we have
y = cos -x
y = cos x
Thus, the function is even will be y = sec x and y = cos x.
Then the correct options are C and D.
More about the even function link is given below.
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Answer: c and d
Step-by-step explanation: they’re both even
Answer:you got this:)
Step-by-step explanation:
The 4-year loan at 7.5% APR seems to be the best choice as it strikes a balance between a reasonable monthly payment and minimizing the total interest paid.
To determine which loan option best meets your needs, you should consider both the monthly payment amount and the total cost of the loan. Here's how you can calculate and compare the three options:
1. 3-year loan at 7% APR:
- Monthly payment: $325
- Total payments over the loan term: $325 * 12 months/year * 3 years = $11,700
- Total interest paid: $11,700 - $15,000 = $3,300
2. 4-year loan at 7.5% APR:
- Monthly payment: $325
- Total payments over the loan term: $325 * 12 months/year * 4 years = $15,600
- Total interest paid: $15,600 - $15,000 = $600
3. 5-year loan at 8% APR:
- Monthly payment: $325
- Total payments over the loan term: $325 * 12 months/year * 5 years = $19,500
- Total interest paid: $19,500 - $15,000 = $4,500
Now, let's analyze the options:
- The 4-year loan at 7.5% APR has the highest monthly payment but the lowest total interest cost, making it the most cost-effective option. However, you should ensure that the higher monthly payment fits comfortably within your budget.
- The 3-year loan at 7% APR has a lower interest cost than the 5-year loan but a higher monthly payment. It's a good middle-ground choice if you can afford the monthly payments.
- The 5-year loan at 8% APR offers the lowest monthly payment but results in the highest total interest cost. It's the least cost-effective option, and you would end up paying significantly more over the loan term.
Ultimately, the 4-year loan at 7.5% APR seems to be the best choice as it strikes a balance between a reasonable monthly payment and minimizing the total interest paid. However, ensure that the monthly payment aligns with your financial situation before making a decision.
For more such questions on monthly payment:
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Answer:
the 5yr/ $270mth
Step-by-step explanation:
$15k × 8% = $1200 interest
$15k + $1200 = $16,200.00
$16500 ÷ 60months (5years) = $270/mth pymt
Answer:
From top to bottom, the boxes shown are number 3, 5, 6, 2, 4, 1 when put in ascending order.
Step-by-step explanation:
It is convenient to let a calculator or spreadsheet tell you the magnitude of the sum. For a problem such as this, it is even more convenient to let the calculator give you all the answers at once.
The TI-84 image shows the calculation for a list of vectors being added to 4∠60°. The magnitudes of the sums (rounded to 2 decimal places—enough accuracy to put them in order) are ...
... ║4∠60° + 3∠120°║≈6.08
... ║4∠60° + 4.5∠135°║≈6.75
... ║4∠60° + 4∠45°║≈7.93
... ║4∠60° + 6∠210°║≈3.23
... ║4∠60° + 5∠330°║≈6.40
... ║4∠60° + 7∠240°║≈ 3
_____
In the calculator working, the variable D has the value π/180. It converts degrees to radians so the calculation will work properly. The abs( ) function gives the magnitude of a complex number.
On this calculator, it is convenient to treat vectors as complex numbers. Other calculators can deal with vectors directly
_____
Doing it by hand
Perhaps the most straigtforward way to add vectors is to convert them to a representation in rectangular coordinates. For some magnitude M and angle A, the rectangular coordinates are (M·cos(A), M·sin(A)). For this problem, you would convert each of the vectors in the boxes to rectangular coordinates, and add the rectangular coordinates of vector t.
For example, the first vector would be ...
3∠120° ⇒(3·cos(120°), 3·sin(120°)) ≈ (-1.500, 2.598)
Adding this to 4∠60° ⇒ (4·cos(60°), 4°sin(60°)) ≈ (2.000, 3.464) gives
... 3∠120° + 4∠60° ≈ (0.5, 6.062)
The magnitude of this is given by the Pythagorean theorem:
... M = √(0.5² +6.062²) ≈ 6.08
___
Using the law of cosines
The law of cosines can also be used to find the magnitude of the sum. When using this method, it is often helpful to draw a diagram to help you find the angle between the vectors.
When 3∠120° is added to the end of 4∠60°, the angle between them is 120°. Then the law of cosines tells you the magnitude of the sum is ...
... M² = 4² + 3² -2·4·3·cos(120°) = 25-24·cos(120°) = 37
... M = √37 ≈ 6.08 . . . . as in the other calculations.
Answer:
Going from top to bottom answer is
Z, X, U, Y, V, W
Step-by-step explanation:
I know this is right because I got a 5/5 of the test and I painstakingly solved each problem and my goodness it took a while.
Allison's Plant: 2.5 inches in 5 days
Yuki's Plant: 5.5 centimeters in 4 days
(HINT: How can we change the rates to compare the growth rate of the seedlings)
Your answer:
Answer:
yukis plant
Step-by-step explanation: