Find the 12th term of an AP of the form 7, 12, 17, 22

Answer:

6/1 is what i got, is that a right answer?

Step-by-step explanation:

3/7 by 1/14

2*3/1*1 over 14 =6/1 over 14 simplified 3/7.

Answer:

see explanation

Step-by-step explanation:

80 and 11x + 1 are a linear pair and sum to 180° , that is

80 + 11x + 1 = 180

81 + 11x = 180 ( subtract 81 from both sides )

11x = 99 ( divide both sides by 11 )

x = 9

If we compare the expression, we would notice that the difference between them is that the terms 2y, 6, and 2 are commuted.

Therefore, the answer is the commutative property.

Answer:

4/10= 8/20 or 2/5

6/9=18/27

4/8=1/2 or 16/32

12/16=24/32 or 3/4

12/20= 36/60 or 3/5

16/20=32/40 or 4/5

Answer:

try using percent decrease calculator

Step-by-step explanation:

maybe that'll help

Answer:

The answer is 20%

Step-by-step explanation:

5=100%

meaning if you decrease it by one each time it will look like this:

5=100%

4=80%

3=60%

2=40%

1=20%

so if it was decreased to four your answer is 20%

and you still have 80% remaining.

Answer:

19.70

Step-by-step explanation:

For this case we have the following trigonometric relationship:

Tan (x) = (4/6)

Clearing the angle we have:

x = Atan (4/6)

x = 19.77

Rounding off we have:

x = 19.70 degrees

According to the information we can infer that the total yardage traveled from 0 to 120 seconds is 140 yards.

To calculate the total yardage traveled we have to consider the movement of the O'Connor Panthers. In this case we have to consider that the movement in the y axis.

In this case we can conclude that the total yardage traveled was 140 yards because:

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the answer is

0.175 × 100

= 17.5%

Answer:
17.5%

Multiply 0.175 by 100 to convert to a percentage.

0.175 ⋅ 100

Simplify

0.175 ⋅ 100
You will get 17.5%

Answer:

There are a total of 20 presents, and 3 of them contain gems. Therefore, there are 20 - 3 = 17 presents that do not contain gems.

The probability of randomly selecting a present that does not contain a gem is 17/20 = 0.85 or 85%.

hope it helps you...

Answer:

c

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

I Think its 81.68141

The length of side x is approximately 24.87, rounded to the nearest hundredth.

how can we find side of the triangle?

To find the length of side x, we can use the sine function, which relates the opposite side to an angle to the hypotenuse:

sin(11°) = opposite side/hypotenuse

Rearranging this equation, we get:

opposite side = sin(11°) * hypotenuse

We know that the hypotenuse has a length of 130, so we can substitute that in:

opposite = sin(11°) * 130

Using a calculator, we can evaluate sin(11°) to be approximately 0.1919, so we can substitute that in as well:

opposite = 0.1919 * 130

Simplifying this expression, we get:

opposite ≈ 24.87

Therefore, the length of side x is approximately 24.87, rounded to the nearest hundredth.

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9514 1404 393

Answer:

Step-by-step explanation:

If there are x boxes, each containing 12 cookies, then the number of cookies in the boxes is 12x. If there are 24 more cookies than that at the party, we have ...

  y = 12x +24 . . . . . equation modeling party cookies

__

For x=60, the number of cookies at the party is ...

  y = 12·60 +24 = 720 +24

  y = 744 . . . cookies at the party

The rule may be extended or generalized to products of three or more functions, to a rule for higher-order derivatives of a product, and to other contexts.

Answer:

Hello,

I have reply too quick in comments (sorry)

Step-by-step explanation:

\(\left\{\begin{array}{ccc}log_x (27)+log_y (4)=5\\log_x (27)-log_y (4)=1\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}2*log_x (27)=6\\2*log_y (4)=4\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}log_x (27)=3\\log_y (4)=2\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}x^{log_x (27)}=x^3\\y^{log_y (4)}=y^2\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}27=x^3\\4=y^2\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}x=3\\y=2\\\end{array}\right.\\\\\)

cost of 1 hemlock is $35 and the cost of 1 juniper is $20

Let us assume the cost of 1 hemlock to be (x)

let us assume the cost of 1 juniper to be (y)

plan A uses 8 hemlocks and 12 junipers and costs a total of $520

this plan can be written as an expression:

(1) 8x + 12y = 520

plan B uses 6 hemlocks and 15 junipers and costs a total of $510

this plan can also be written as an expression:

(2) 6x + 15y = 510

to solve this equation we need to take anyone's coefficient of a variable to be equal in both equations.

we can do so by multiplying (1) with 3 and (2) with 4

(1) 24x + 36y = 1560

(2) 24x + 60y = 2040

subtracting both the equations we get:

36y-60y = 1560-2040

-24y = -480

24y = 480

y= 20

the cost of 1 juniper is $20

putting the value of y in (1)

8x + 12 (20) =520

x= 35

cost of 1 hemlock is $35

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Answer:

A.

Step-by-step explanation:

Commutative property swaps 2 numbers, but wont make any difference to the answer.

9+4 and 4+9 are the same amount

Answer:

B. Associative property of addition.

Step-by-step explanation:

The identity property involves zeros, so we know it's not that one.

The distributive property is when you have a number, and then two other numbers in parenthesis and you multiply the numbers by the number outside the parenthesis. (ex: 4(1 + 3) you would do 4 x 1 and 4x 3 and add them together) and we know it's not that one because it doesn't show the distribution.

The associative property states that you can re-group numbers and you will get the same answer, and since it has parenthesis, we know it's this one.

The commutative property states that you can move numbers around and still arrive at the same answer.

The features of the logarithmic function are given as follows:

a) Domain: x > 0.

b) Range: all real values.

c) End behavior: as x -> ∞, f(x) -> ∞.

d) The x-intercept is at x = 1.

e) The function does not have an absolute maximum, as it is never decreasing.

The domain of the function is given by the set of input values, hence it is composed by the values of x assumed by the graph.

In this problem, the function is not defined for negative numbers, and has a vertical asymptote at x = 0, meaning that the function is not defined at this point, hence the domain is:

x > 0.

The range is the values of y of the graph, which are the output values of the function. The function assumes all value of y, hence the range is of all real values.

The end behavior of the function is given by the limit when x goes to infinity. The function is only defined for positive numbers, and it increases to right, hence the end behavior is:

As x -> ∞, f(x) -> ∞.

The x-intercept of the function is the value of x at which the function crosses the x-axis, hence it is given by:

x = 1.

An absolute maximum is a point in which the function changes from increasing to decreasing. In this problem, the function is increasing over it's entire domain, hence it contains no absolute maximum.

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Answer:

a.) The domain of the function is x > 0

b.) The range of the function is all real values.

c.) The end behavior of the function is as x approaches infinity, f(x) approaches infinity.

d.) Written as an ordered pair, the x-intercept of the function is (1,0).

e.) No, the function does not have an absolute maximum because the function is constantly increasing and never decreasing, meaning an exact absolute maximum is impossible to pinpoint. An absolute maximum is a point in which the function changes from increasing to decreasing. This function represents a constant increase over the entire domain. Therefore, the function contains no absolute maximum.

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Answer:

STo solve for m in the equation -319.45 = m, we can isolate the variable m by adding 319.45 to both sides of the equation:

-319.45 + 319.45 = m + 319.45

This simplifies to:

0 = m + 319.45

Finally, we can subtract 319.45 from both sides to solve for m:

0 - 319.45 = m + 319.45 - 319.45

-319.45 = m

Therefore, the value of m is -319.45.tep-by-step explanation:

Answer:

-  x³ - 2x² + 3 - 1 / x

Step-by-step explanation:

(4x³ - 8x² + 12x - 4) / (-4x)

-  x³ - 2x² + 3 - 1 / x

Answer:

Step-by-step explanation:

First write X - Y = 3 as X = 3 +Y.

Then, replace the value of X in the equation XY = 28.

That is, (3 + Y)Y = 28.

Then, we have \(Y^{2} +3Y-28=0\). By solving for Y, we have

Y = 4 and Y = -7. Then, replecing Y in the equation X - Y = 3. We have,

X = 7 and X = -4.

Hence, the points of interseccion are, (7,4) and (-4,7)

Answer:

-4 1/26

Step-by-step explanation:

The 9th term in the geometric sequence is 4194304.

"A geometric sequence is a special type of sequence where the ratio of every two successive terms is a constant. This ratio is known as a common ratio of the geometric sequence. In other words, in a geometric sequence, every term is multiplied by a constant which results in its next term. So a geometric sequence is in form a, ar, a\(r^{2}\)... where 'a' is the first term and 'r' is the common ratio of the sequence. The common ratio can be either a positive or a negative real number."

We have

\(a_{1}\) = \(\frac{1}{4}\)

Common ratio (r) = 8

Formula to find 9th term in the geometric sequence

\(a_{n}= a_{1} r^{n-1}\)

⇒\(a_{9}= \frac{1}{4}\) × \(8^{(8-1)}\)

⇒\(a_{9}= \frac{1}{4}\) × \(8^{8}\)

⇒\(a_{9}= \frac{1}{4}\) × \(16777216\)

⇒\(a_{9} =4194304\)

Hence, the 9th term in the geometric sequence is 4194304.

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\(\huge\fbox{Hi~there!}\)

We are given two points, and asked to find the slope.

We can use this formula:

\(\displaystyle\frac{y2-y1}{x2-x1}\)

y2=3

y1=2

x2=-4

x1=-1

\(\displaystyle\frac{3-2}{-4-(-1)}\)

\(\displaystyle\frac{1}{-4+1}\)

\(\displaystyle\frac{1}{-3}\)

\(\displaystyle-\frac{1}{3}\) (Answer)

Hope you find it helpful.

Feel free to ask if you have any queries.

-Sparkle-

Answer:

y= -7

Step-by-step explanation:

y=ax+b

Find a where a=y2-y1 /x2-x1

y2=13,y1=5 x2=5,x1=3

substituting the values

a=13-5/5-2

a=8/2

a=4

substituting a into the formular

y=4x+b

taking x and y values let say 3 and 5 for x and y

the equation becomes

5=4(3)+b

5=12+b

5-12=b

-7=b

substituting the values of a and b into the equation

y=4x-7

when x=0

y=4(0)-7

y=0-7

y=-7

so when x=0,y=-7

Answer:

50.75

Step-by-step explanation:

We have:

\(E[g(x)] = \int\limits^{\infty}_{-\infty} {g(x)f(x)} \, dx \\\\= \int\limits^{1}_{-\infty} {g(x)(0)} \, dx+\int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx+\int\limits^{\infty}_{6} {g(x)(0)} \, dx\\\\= \int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x+3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x)\frac{2}{x} } \, dx + \int\limits^{6}_{1} {(3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {8} \, dx + \int\limits^{6}_{1} {\frac{6}{x} } \, dx\\\\\)

\(=8\int\limits^{6}_{1} \, dx + 6\int\limits^{6}_{1} {\frac{1}{x} } \, dx\\\\= 8[x]^{^6}_{_1} + 6 [ln(x)]^{^6}_{_1}\\\\= 8[6-1] + 6[ln(6) - ln(1)]\\\\= 8(5) + 6(ln(6))\\\\= 40 + 10.75\\\\= 50.74\)

You can use the notation P(A), read “the probability of event B, given event A” to write a conditional probability. The correct answer is C.

Conditional probability refers to the probability of one event occurring given that another event has already occurred. In this case, we are interested in the probability of event B occurring given that event A has already occurred, and we can represent this using the notation P(B|A), where '|' means 'given'.

For example, let's say we are interested in the probability of getting a head on a coin toss (event B), given that the coin was flipped and landed on heads (event A). We could represent this using the notation P(B|A). The value of P(B|A) would be 1, because if the coin already landed on heads, then the probability of getting a head on the next flip is certain.

Conditional probability is an important concept in probability theory and is often used in real-world applications, such as predicting the likelihood of a disease given certain symptoms, or the probability of an event occurring given certain conditions.

The correct answer is C.

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