(3x/4)>51 ( line underneath >)
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
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:
(02.07)Solve for L: A = L ⋅ W ⋅ H
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
Use allfour operations only once without parentheses to write an expression that has a value of 100 only using 3's
There are a lot of ways to write an expression using only 3 to get an answer of 100. Some examples are:
1st example:
3 / 3 + 3 * 3 * 3 * 3 * 3 * 3 * 3 * 3 * 3 * 3 * 3 * 3 * 3
= 1 + 99
= 100
2nd example:
3 / 3 + 3 * 3 * 3 * 3 + 3 * 3 * 3 – 3 * 3
1 + 81 + 27 – 9 = 100
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.
How to factor x^2+27
The point-slope form of the equation of the line that passes through (–9, –2) and (1, 3) is y – 3 = 1/2 (x – 1). What is the slope-intercept form of the equation for this line?
Answer:
[tex]y=\frac{x}{2}+\frac{5}{2}[/tex]
Step-by-step explanation:
Hello
thanks for asking this question, I think I can help you with this
if you have the point-slope form of the equation of a line, just isolate "y" to find the slope-intercept form
Step 1
[tex]y-3=\frac{1}{2} (x-1)\\\\y-3=\frac{x}{2}-\frac{1}{2} \\Add\ 3\ in\ both sides\\\\y-3+3=\frac{x}{2}-\frac{1}{2} +3\\y=\frac{x}{2}-\frac{1}{2}+3\\y=\frac{x}{2}+\frac{5}{2}[/tex]
so the answer is
[tex]y=\frac{x}{2}+\frac{5}{2}[/tex]
where 1/2 is the slope, and 5/2 is the intercept with y-axis
I really hope it helps , Have a great day.
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:
Find the zeros of the function. f(x) = 4x3 - 12x2 - 40x
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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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
Salvage system algebraically. Show all your work in circle your answers
select all tht apply
If n-^2 = 1/16, then n could be which of the following?
-8
-4
-1/4
1/4
4
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
What is the square root of 75 in simplified form?
Answer:The answer is
5 3
Step-by-step explanation:
7x7-9exponent x 7 7exponent
Answer:
1/7
Step-by-step explanation:
Evaluate the function rule for the given value. Y=12×3^x for x=-2
Answer:
The value of function at x = -2 is [tex]\frac{4}{3}[/tex].
Step-by-step explanation:
Given : Function [tex]Y=12\times 3^x[/tex]
We have to evaluate the given function at x = - 2
Consider the given function [tex]Y=12\times 3^x[/tex]
Since, y is a function in terms of x.
So, put x = - 2 in given function.
We get,
[tex]Y=12\times 3^{-2}[/tex]
Since, [tex]3^{-2}=\frac{1}{3^2}=\frac{1}{9}[/tex]
[tex]Y=12\times \frac{1}{9}[/tex]
Simplify, we have,
[tex]Y=\frac{4}{3}[/tex]
Thus, The value of function at x = 2 is [tex]\frac{4}{3}[/tex].
A runner is running 5 miles per hour. how many feet is the runner running per second.
HELP PLEASE..answer fast please and show all work and explain how to solve
If vertex T' is at (2,-2) what are the coordinates of vertex s
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 (:
In which one of the above figures is AB = AC?
A. Figure B
B. Figure C
C. Figure A
D. Figure D
Answer: The answer is (D). the image is attached.
Step-by-step explanation: We are given four figures from which we are to select the one with AB = AC.
In figure (A), AB and AC are two chords of the circle with common point A. Since the lengths of two chords of a circle may not be equal, so AB may not be equal to AC. This option is not correct.
In figure (B), AB is a tangent at point B and AC is the extension of a chord which meets the tangent AB at point A. Since the lengths of AB and AC may not be equal, so this option is also incorrect.
In figure (C), AB and AC are extensions of two chords which meets at point A outside the circle, so they may not be congruent. So, this option will also not work.
In figure (D), AB and AC are two tangents from a common point A to the circle at B and C respectively.
We have the Two-Tangent Theorem which states that if two tangent segments are drawn to one circle from the same external point, then they are congruent.
So, we have AB ≅ AC.
Thus, (D) is the correct option.
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.
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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.
One way to recognize a line of symmetry is to look for a line that divides the original image into
the line of best fit drawn on a scatter plot ____
A. is a line that goes through each data plot.
B. always has a positive slope.
C. is a line drawn through the first and last points.
D. approximates the linear relationship of the data.
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?