Samantha loves to download new music. She originally had 52 songs but plans to purchase 2 new songs each week. She wants to know how many songs she will have after 93 weeks. Which equation should she use?
a93 = 93 + 2(52 − 1)
a93 = 93 + 2(52 + 1)
a93 = 52 + 2(93 + 1)
a93 = 52 + 2(93 − 1)
Hint: It's either A, B, C, or D
is this correct? if not please let me know how to solve it
Find the zeros of the function. f(x) = 4x3 - 12x2 - 40x
2. Richmond Appliance repairs washing machines. The revenue that the company earns is given by the function R(h) = 20 + 45h dollars for every h hours spent repairing washing machines. The company’s overhead cost is given by the function C(h) = 5h2 – 30 dollars. For what number of hours does the company break even? Show your work.
Answer:
The number of hours needed for the company to break even happens when
, rearranging to make the equation 'zero' on LHS
, divide each term by 5
, factorise
, equate each factor to zero
and
We choose the positive value of
Hence, the number of hours needed to break even is
Step-by-step explanation:
(3x/4)>51 ( line underneath >)
what is the solution to y=x+16 and y=-x+4??
Please show work and explanation in how its done...
so i can understand better cause I'm new to these problems...
so i can get all the help i can get (:
HELP PLEASE..answer fast please and show all work and explain how to solve
How to factor x^2+27
A box has dimensions of 17 inches long.1.3 feet wide, and 8 inches high. What is the valine of the box? The formula for the volume is V = l• w •h.
convert the feet to inches so all 3 dimensions are in the same measurement
1.3 x 12 = 15.6 inches
now multiply them all
17 x 15.6 x 8 = 2121.6 cubic inches
round the answer if you need to
Prove or disprove the identity. If you find the identity is true, state the first line of the proof. If you find the identity is false, write the correct equation by replacing the right side.
sin x cos x tan x cot x = 1
A) the identity is true. sin x cos x tan x cot x = cos x
B) the identity is true. sin x cos x tan x cot x = sin x tan x
C) the identity is false. sin x cos x tan x cot x = sin x cos x
D) the identity is false. sin x cos x tan x cot x = sin x
Final answer:
The identity sin x cos x tan x cot x = 1 is false. By using the definitions of tan and cot, we can show that sin x cos x tan x cot x simplifies to sin x cos x.
Explanation:
The student has asked to prove or disprove the identity sin x cos x tan x cot x = 1. To verify this identity, we need to remember the definitions of the trigonometric functions. The tangent (tan) of an angle is the ratio of the sine (sin) to the cosine (cos) of that angle, and the cotangent (cot) is the reciprocal of the tangent.
Therefore, tan x = sin x / cos x, and cot x = cos x / sin x. When we multiply tan x by cot x, we get:
tan x × cot x = (sin x / cos x) × (cos x / sin x) = 1
Now, multiplying this result by sin x cos x gives:
sin x cos x tan x cot x = sin x cos x × 1 = sin x cos x
Therefore, the correct equation is sin x cos x tan x cot x = sin x cos x, which means the correct answer is:
(C) the identity is false. sin x cos x tan x cot x = sin x cos x
Lana Powell has cumulative earnings of $110,000 at the end of September. In the first week in October she earns $2,000. The amount deducted for Social Security and Medicare from her check is (assume Social Security rate of 6.2% on $110,100 and Medicare of 1.45%):
Answer:
Lana Powell has cumulative earnings of $110,000 at the end of September. In the first week in October she earns $2,000. The amount deducted for Social Security and Medicare from her check is (assume Social Security rate of 6.2% on $110,100 and Medicare of 1.45%):
Step-by-step explanation:
In the first week of October on the $ 2,000, we must deduct the two expenses, that of 6.2% and 1.45%, and then add them between them and subtract them from the $ 2000.
It would be the following: 2000 x 6.2% = $ 124; 2000 x 1.45% = 29; 124 + 29 = $ 153 is the amount to be deducted from the $ 2,000; $ 2000 - $ 153 = $ 1847.
Lana Powell's paycheck for the first week in October would have $124 deducted for Social Security and $29 for Medicare, resulting in a total deduction of $153. Her cumulative earnings are not considered here as she has exceeded the earnings threshold of $110,100 for Social Security tax.
Explanation:Lana Powell's earnings for the first week in October are subject to deductions for Social Security at a rate of 6.2% and Medicare at a rate of 1.45%. To calculate these deductions, you multiply her weekly earnings by the respective rates:
Social Security deduction = $[tex]2000*6.2/100 = $124[/tex]Medicare deduction = $[tex]2000*1.45/100 = $29[/tex]Therefore, the total amount deducted from Lana Powell's paycheck for Social Security and Medicare is $124 + $29 = $153.
Note that you do not consider her cumulative earnings in this case. The Social Security tax is applicable only up to a wage base limit of $110,100 and since her cumulative earnings have already exceeded this limit, she would not be paying any additional Social Security tax beyond this earnings threshold.
Learn more about Payroll tax calculations here:https://brainly.com/question/9497135
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7x7-9exponent x 7 7exponent
Answer:
1/7
Step-by-step explanation:
What is the square root of 75 in simplified form?
Answer:The answer is
5 3
Step-by-step explanation:
A golfer would like to test the hypothesis that the variance of his golf score equals 10.0. a random sample of 28 rounds of golf had a sample standard deviation of 3.5. what is the number of degrees of freedom for this hypothesisâ test?
What's the 6th term in a sequence that starts with -7.5 and has a common ratio of 9?
A line with a slope of 0 passes through the point (0, -5) . what is its equation i n slope -intercept form?
which of the following is an example of conditional probability.
A: probability of hitting a home run
B: Probability of getting an A on a test, given that you didn't fail the test
C: probability of drawing a club from a deck of 52 cards
D: probability of getting an A on a test
The example of conditional probability is Probability of getting an A on a test, given that you didn't fail the test.
What is conditional probability?Conditional probability is known as the possibility of an event or outcome happening, based on the existence of a previous event or outcome.
For Conditional probability, the event should be dependent events.
Also, the probability of an event and the condition is that the other event has already been occurred.
Here, in Probability of getting an A on a test, given that you didn't fail the test is example of conditional probability because " you didn't fail the test " already occurred and now find the probability of getting A.
Learn more about conditional probability here:
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(02.07)Solve for L: A = L ⋅ W ⋅ H
select all tht apply
If n-^2 = 1/16, then n could be which of the following?
-8
-4
-1/4
1/4
4
Salvage system algebraically. Show all your work in circle your answers
what is the proportion for 2/3 and 8/10
ABCDEFGHIJ is a regular decagon. Find the length of the apothem. Round the answer to the nearest tenth.
A.
8.0
B.
20.5
C.
24.7
D.
26.0
If vertex T' is at (2,-2) what are the coordinates of vertex s
A runner is running 5 miles per hour. how many feet is the runner running per second.
What is the 32nd term of the arithmetic sequence where a1 = −32 and a9 = −120?
Answer:
-373
Step-by-step explanation:
A
n
=
A
1
+
d
(
n
−
1
)
A
1
=
−
32
A
9
=
−
120
⇒
A
9
=
−
32
+
d
(
9
−
1
)
⇒
−
120
=
−
32
+
d
(
8
)
⇒
−
88
=
8
d
⇒
d
=
−
11
A
32
=
−
32
+
(
−
11
)
(
32
−
1
)
⇒
A
32
=
−
32
+
(
−
11
)
(
31
)
⇒
A
32
=
−
32
+
−
341
⇒
A
32
=
−
373
PLZ HELP I NEED THIS TODAY!!!!Write an expression for the perimeter of the triangle shown below: A triangle is shown with side lengths labeled 2.3x plus 14, 2x, and negative 0.2x plus 15.
Gabby solved x2 - 3x = 4 as shown below:
x2 - 3x - 4 = 0
(x - 4)(x + 1) = 0
x = -4 and x = 1
Caitlyn says Gabby is wrong and believes this is the solution:
x2 - 3x - 4 = 0
(x - 4)(x + 1) = 0
x = 4 and x = -1
Is Gabby or Caitlyn correct? What mistake was made by the incorrect girl? Type your response in the box provided.
One way to recognize a line of symmetry is to look for a line that divides the original image into
The mass of mercury is 330,200,000,000,000,000,000,000 kilograms. how can this number be written in scientific notation?
Final answer:
The mass of mercury, 330,200,000,000,000,000,000,000 kg, can be written in scientific notation as 3.302 × 10²⁰ kg. Scientific notation helps to express very large numbers in a more manageable form, using a coefficient between 1 and 10 multiplied by a power of ten.
Explanation:
To write the mass of mercury in scientific notation, we need to express it as a number between 1 and 10 multiplied by a power of ten. The mass given is 330,200,000,000,000,000,000,000 kilograms, which can be written as 3.302 × 10²⁰. Since there are 20 digits to the right of the first digit (3), the exponent in the scientific notation will be 20.
In scientific notation, the mass of mercury is thus written as 3.302 × 10²⁰ kg.
When converting to scientific notation, we use multiplication and division techniques to adjust the original number, so the resulting coefficient is a value from 1 up to, but not including, 10. This method is commonly used by scientists and astronomers when dealing with astronomical numbers, as in this case with the mass of a planet or in chemistry with the mass of an atom.
Suppose A and B are independent events if P(A) = 0.4 And P(B) = 0.1, what is P(A'uB)? APEX
Answer:0.6
Step-by-step explanation: