Find a cofunction equivalent to sin
5π
12

Answer:

[tex] \sf {a}^{6} [/tex]

Step-by-step explanation:

Given expression

[tex] \sf \: {a}^{0} \: • \: \: {a}^{6} [/tex]

To find expression solution

[tex] \sf \: {a}^{m} \: {a}^{n} = {a}^{m + n} [/tex]

[tex] \sf {a}^{0} + {a}^{6} = {a}^{0 + 6} [/tex]

[tex] \sf \therefore \: {a}^{6} [/tex]

[tex] \: \Large \mathbb{SOLUTION:}[/tex]

[tex] \: \: \rm{ {a}^{0} \times {a}^{6} }[/tex]

[tex] \: \: \text{Calculate the power }[/tex]

[tex] \: \: \underline{\underline{\rm{{a}^{6} }}}[/tex]

Answer:  380.5

Step-by-step explanation: you can type it into desmos graphing calculator

Answer:

52/129

Step-by-step explanation:

Answer:

[tex]x \in \mathbb{R}-\{0,1\}[/tex]

Step-by-step explanation:

The denominator cannot be 0 (since division by 0 is undefined), meaning x cannot be 0 or 1.

So, the domain is

[tex]x \in \mathbb{R}-\{0,1\}[/tex]

You didn't provide a lot of info regarding the given question, however if you are looking to solve for t:

_______________________________________________

Isolate the variable by dividing each side by factors that do not contain the variable.

Solution's Exact Form:

[tex]t=-\frac{1}{243},-\frac{243}{32}[/tex]

_______________________________________________

Hope this helps! If not, please provide further info if you can regarding this question and I'll see what else I can do to help. If this did help however, lmk! Thanks and good luck!

The graphs of the transformed functions are below, the colors are:

a) g(x) = -x^2 → green.

b) g(x) = x^2/13 → blue

c) g(x) = x^2 + 2 → orange

d) g(x) = (x - 3)^2 → purple.

Here we have the quadratic parent function:

f(x) = x^2

And we want to apply some transformations, and then graph them.

The transformations are:

a) "Reflect the graph about the x-axis."

This is written as:

g(x) = -f(x)

Replacing f(x) by the actual function:

g(x) = -x^2

b) "Vertical compress by a factor of 13"

This is written as:

g(x) = f(x)/13 = x^2/13

c) "Vertical shift up 2."

This is written as:

g(x) = f(x) +2 = x^2 + 2

d)  "Horizontal shift right 3."

This is written as:

g(x) = f(x - 3) = (x - 3)^2

The graphs are below, the colors are:

a) g(x) = -x^2 → green.

b) g(x) = x^2/13 → blue

c) g(x) = x^2 + 2 → orange

d) g(x) = (x - 3)^2 → purple.

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The height of the pole is 7.1 feet.

Given that a light display for a wedding with two 10-foot strands of lights and top of a pole and to two stakes on the ground forming two right triangles.

The Pythagorean theorem, also known as the Pythagoras theorem, explains the relationship between the three sides of a right triangle.

The two sides of triangle are equal that is x and and the third side is 10.

Now, we will apply the pythagoras theorem, we get

B²+P²=H²

Here B=P+x and H=10

x²+x²=(10)²

2x²=100

Now, we will divide both sides with 2, we get

2x²/2=100/2

x²=50

Now, we will take square root on both sides, we get

√x²=√50

x=√50

x=7.07106781

The Round to the nearest tenth is x=7.1 feet.

Hence, the height of the pole when wedding with two 10-foot strands of lights and the lights will be attached to the top of a pole and to two stakes on the ground forming two right triangles is 7.1 feet.

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Answer:

        92.5 and 94.5

___________________

         [tex]187 \div 2 = 93.5\\\mathrm{Split\:93.5\:into\:two\:integers\:by\pm1}\\93.5 - 1 = 92.5\\93.5 + 1 = 94.5[/tex]

→ Thus, we have our two integers.

_________________________

The number of different digits that appear when [tex]\frac{1}{110}[/tex] is written as a recurring decimal is two digits i.e 9,0.

Given the fraction [tex]\frac{1}{110}[/tex]

Recurring decimal:  

A repeating decimal, also known as a recurring decimal, is a decimal representation of a number whose digits are periodic (repeating at regular intervals) and whose infinitely repeated portion is not zero. It is possible to demonstrate that a number is rational if and only if its decimal representation repeats or terminates.

⇒[tex]\frac{1}{110}[/tex]=0.0090909090.....

Therefore,The number of different digits that appear when [tex]\frac{1}{110}[/tex] is written as a recurring decimal is two digits i.e 9,0.

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The value of my car one year ago was $35,714.3

INTEREST FORMULA: The interest formula includes two types of interests - simple interest and compound interest. Interest is the cost a borrower pays a lender for a loan. This additional sum, or the interest, must be paid in addition to the loan itself. The compound interest formula and the simple interest formula are both discussed in the interest formula.

Present value of the car = A = $25,000

Depreciation rate = r = 30% per annum

Time = t = 1 year

Let the initial value be p

We know the formula, A = P(1 – r/100)^t

$25,000 = P [1 – 30/100] ^1

$25,000 = P (7/10)

P = (25,000 * 10) / 7

P = $35,714.3

Therefore, One year ago, my car's value was worth $35,714.3.

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The answer of the given equation will be  -6 - 3.3v

For doig the sum we need to first know what is algebric simplification

So Algebric Simplification is basically  is writting the same algebric expression with no same term in a compact manner. For solving the simplification weed to first group the like terms and solve the brackets first if any then in that simplified equation we will be left with unlike variables that cannot be simplified further.

To make it more easier remember the rule of BODMAS it stands for Brackets Of Dvision Multiplication Addition Substraction in any sum where it will be asked to simplify any expression we will go by the order of the above BODMAS rule first we will solve the brackets after that divisions then multiplications followed bty addition and subtraction .

In the given sum as these r not given we will simply group the expressions with alike variable that is (5.2v - 8.5v) which will result in - 3.3v and we cannot to  do any further calculations so the answer will be -6 - 3.3v

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Answer:(-2,2)

Step-by-step explanation:

The correct answer is option A that is 74.

First, we need to put the expression in the form of mathematical equation. A mathematical equation may be defined as the combination of numbers and arithmetic symbols which are related to each other according to the expression given. The expression in the form of mathematical expression can be written as:

(9 - 2/3×√9)² + (1-6)²

Solving the brackets separately.

(9 - 2/3×3)² + (-5)²

Now in the next step, simplify the equation.

=>(9 - 2)² + 25

=>(7)² + 25

=>49 + 25

=>74.

Therefore, the required answer is 74.

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Answer on Question #54875

–

Math

–

Statistics

and Probability

A normal population has a mean of 0.1 and standard deviation 2.1. Find the probability that the

mean of a sample of size 900 will be negative.

Solution

In accordance with the given problem, we have the following data:

μ

=

0

.

1

,

σ

=

2

.

1

and

n

=

900

. It is known that

푥

~

M

(

μ

,

σ

2

)

and

z

~

N

(

0

,

1

)

Answer:

[tex]\frac{350}{11} weeks[/tex]

Step-by-step explanation:

Let V be the volume of water in the lake and w be the number of weeks to empty the lake

Since it takes 14 weeks to empty the lake by water release, the empty rate = V/14

But at the same time the river is replenishing the lake at a rate of V/25 since it will take 25 weeks to fill the empty lake

               [tex]\frac{1}{14} - \frac{1}{25} = \frac{1}{w}[/tex]

              [tex]25 - 14 = \frac{350}{w}[/tex]  ==> [tex]11 = \frac{350}{w}[/tex]

                  11w = 350

                    w = [tex]\frac{350}{11 }[/tex] weeks

The change as a percentage is 6.7 %

The price of the building in the year 2021 is $4,200,00

The price of the building in 2021 is $4,500,000

Therefore the percentage change can be calculated as follows

= 4,500,000 - 4,200,000/4,500,000 × 100

= 300,000/4,500,000 × 100

= 0.066 × 100

= 6.7 %

Hence the percentage change is 6.7%

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Answer:

w≈8.33

Step-by-step explanation:

Greetings !

Firstly recall rectangle area formula

Thus,

[tex]area \: of \: rectangle \: = length \: \times \: width[/tex]

Given values:-

require value:-

solution/ work-out:-

[tex]width = \: \frac{area \: of \: rectangle}{length} [/tex]

[tex]w = \frac{125}{15} [/tex]

[tex]w = 8.333...[/tex]

Hope it helps !!!

the first derivative of the given function is:

f'(x) = (2x²- 12x - 2)/( 2x² - 2)²

The quotient rule says that, if f(x) = g(x)/h(x), then:

f'(x) = ( g'(x)*h(x) - g(x)*h'(x) )/h(x)²

In this case we know that:

g(x) = x² + x - 2

h(x) = 2x² - 2

The derivatives are:

g'(x) = 2x + 1

h'(x) = 4x

Replacing that we get:

f'(x) = ( g'(x)*h(x) - g(x)*h'(x) )/h(x)²

      = ( (2x + 1)*(2x² - 2) - ( x² + x - 2)*(4x) )/( 2x² - 2)²

Expanding the denominator we get:

f'(x) = ( 4x³ - 4x + 2x² - 2 - 4x³ + 4x² - 8x)/( 2x² - 2)²

f'(x) = (2x²- 12x - 2)/( 2x² - 2)²

That is the first derivative of the given function.

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Using the binomial distribution, the probabilities are given as follows:

a) 0.000041 = 0.0041%.

b) 0.7164 = 71.64%.

c) 0.2836 = 28.36%.

For each person, there are only two possible outcomes, either they have lost a friend, or they have not. The probability of a person having lost a friend is independent of any other person, hence the binomial distribution is used to solve this question.

The formula for the probability of x successes is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are given by:

For this problem, the values of the parameters are:

n = 4, p = 0.08.

The probability of all four is P(X = 4), hence:

P(X = 4) = (0.08)^4 = 0.000041.

0.000041 = 0.0041% probability that all four have lost a friend or relative to murder.

The probability of none is P(X = 0), hence:

P(X = 0) = (0.92)^4 = 0.7164.

0.7164 = 71.64% probability that none have lost a friend or relative to murder.

The probability of at least one is given by:

P(X >= 1) = 1 - P(X = 0)

Then:

1 - 0.7164 = 0.2836.

0.2836 = 28.36% probability that at least one have lost a friend or relative to murder.

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Answer: 30

Step-by-step explanation: just do 6*5, 6 faces for five die is thirty faces

There are 30 faces on 5 dice in total.

Given that a standard die has 6 faces on it, we need to determine the number of the faces on 5 dice.

A standard die has 6 faces. If you have 5 dice, each with 6 faces, you can calculate the total number of faces by multiplying the number of dice by the number of faces on each die:

Total number of faces = Number of dice × Number of faces on each die

Total number of faces = 5 dice × 6 faces/die

Total number of faces = 30 faces

So, there are 30 faces on 5 dice.

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Answer: a) 24 b) infini

Step-by-step explanation: a) parce que tu peut faire que 24 somme pour faire 23. B) infini car tout plus haut 100 fonctione

Answer:

The sides are 62, 69, and 49

Step-by-step explanation:

x + (x + 7) + (x - 13) = 180

3x - 6 = 180

3x = 186

x = 62

The compound inequalities for all the balls that are sports regulated are  { (x,y) : 2(1/2) ≤ x ≤ 2(5/8) and 2 ≤y≤ 2(1/6) } for Tennis ball.

{ (x,y) : 2(7/8) ≤ x≤ 3 and 5≤ y ≤ 5(1/4) } for Baseball.

{ (x,y) : 9.07 ≤ x ≤ 9.23 and 20 ≤ y ≤ 22 } for women's Basket ball.

{ (x,y) : 21.64 ≤x ≤ 22.28 and 14.46 ≤ y ≤ 15.87 } for Scoccer Ball.

Suppose we are given { (x,y) : 9.07 ≤ x ≤ 9.23 and 20 ≤ y ≤ 22 } this reads as The set of all x comma y such that x is between this range and y is between in this range.

Sports regulations have some rules that the diameters and weights of sports pieces of equipment must lie between the regulations that have been set.

We are denoting the Diameters of the balls as x in inches and the weights of the balls as y in ounces.

Now for a Tennis ball the range for x and y can be written in roaster form of set is { (x,y) : 2(1/2) ≤ x ≤ 2(5/8) and 2 ≤y≤ 2(1/6) }.

For Baseball it is { (x,y) : 2(7/8) ≤ x≤ 3 and 5≤ y ≤ 5(1/4) }.

For women's Basketball it is { (x,y) : 9.07 ≤ x ≤ 9.23 and 20 ≤ y ≤ 22 }.

For Soccer ball the set in roaster form can be written as

{ (x,y) : 21.64 ≤x ≤ 22.28 and 14.46 ≤ y ≤ 15.87 }.

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Answer:

a. $2850

b. $6720

Step-by-step explanation:

a.

3000(1-0.05) = $2850

b.

7000(1-0.04) = $6720

Answer:

Angle 1: 28 degrees

Angle 2: 52 degrees

Angle 3: 52 degrees

Angle 4: 28degrees

Angle 5: 28degrees

Angle 6 : 52degrees

Angle 7 : 52degrees

Angle 8 : 28degrees

Answer: I say 4/3 the fraction so your answer is D

Explanation: Because its white cars to blue cars the problem is whats equivalent to the ratio 40 to 30, 4:1 is not the same as 40 to 30 neither

is 1:4 or 3 to 4 So its D. :)

Step-by-step explanation:

remember, a parallelogram is a quadrilateral with 2 pairs of parallel and equal sides, and 2 pairs of correspondingly equal angles. and its diagonals are intersecting each other in their midpoint.

with that in mind

(i)

because ABCD is a parallelogram, AD = BC, and AB = CD.

and angle A = angle C (and angle B = angle D).

therefore, as AE = FC, this also means that ED = BF.

via SAS (side angle side) it is clear that the triangles ABE and CDF are congruent.

therefore, EB = DF.

as ED is part of AD, and BF is part of BC, it is also clear that ED || BF.

together with ED = BF this means that EB || DF.

so, we have with BEDF 2 pairs of parallel and equal sides. and that is a parallelogram.

(j)

BCDE and ABCG are parallelograms.

so, BC = DE = AG, CD = BE, AB = CG.

due to the midpoint intersection rule of the diagonals of parallelograms, we also know

GE = CG = AB, DG = BG.

and as CG || AB, then also GE || AB.

together with AB = GE that means that AE = BG and AE || BG.

so, we have with ABGE again 2 pairs of parallel and equal sides. and that is a parallelogram.

Answer:

18

Step-by-step explanation:

24 x 3/4 = 18.

Tanisha takes 5/6 hours longer to mow all the lawns last week than this week.

Here, we are given that Tanisha mowed 5 lawns last week in 7/ 12 hours each.

Thus, the total time taken by her to mow 5 lawns = 5(7/12)

= 35/ 12 hours

Now, this week she mows the five lawns in 5/12 hours each

Thus, the total time taken by her = 5(5/12)

= 25/12 hours

Therefore, the difference between the time taken by her last week and this week will be-

35/ 12 - 25/ 12

= (35 - 25)/ 12

= 10/ 12

= 5/6

Thus, Tanisha takes 5/6 hours longer to mow all the lawns last week than this week.

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