Is the inverse of the function shown below also a
function? Explain your answer.

The value of sinθ for the condition is 0.822.

Simply put, trigonometric functions—also referred to as circular functions—are the functions of a triangle's angle. This means that these trig functions provide the relationship between the angles and sides of a triangle. Sine, cosine, tangent, cotangent, secant, and cosecant are the fundamental trigonometric functions.

Given the identity cos²θ + sin²θ = 1

and cosθ = 0.57 where 0 < θ < π/2

the value of θ varies from 0 to π/2 which means θ is in the first quadrant.

substitute the value in identity,

cos²θ + sin²θ = 1

(0.57)² +  sin²θ = 1

sin²θ = 1 -0.3249

sinθ = √0.6751

sinθ = 0.8216

or sinθ = 0.822

Hence the value of sinθ is 0.822.

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Answer: v < 5
Explanation: you're basically trying to unsolve it to get V.
step by step;
-3v + 3 > -12
subtract 3 on each side
-3v > -12
divide by -3 on each side
v < 5
(dividing or multiplying two negatives makes a positive, while also flipping the sign :)

1.

a.) The color of Aqueous solution turns light green from blue, due to formation of iron sulphate .

b.) The color of the Aqueous solution turns colorless from blue due to formation of zinc sulphate.

2. Bells used in temples aren't made up of wood because wood isn't sonorous and hence can't produce ringing sound, and hence metals are used in making bells.

3. phosphorous is kept in water because it is highly reactive and reacts vigorously with air if left free in atmosphere .

4.

a.) CuSO4 + Mg =》MgSO4 + Cu

this is a single displacement reaction, where Magnesium being more reactive than Copper, displaces copper from its compound (copper sulphate) to form magnesium sulphate.

b. H2SO4 + Zn =》ZnSO4 + H2

this is a single displacement reaction,

where Zinc being more reactive than

hydrogen, displaces hydrogen from its

compound (sulphuric acid) to form Zinc sulphate.

a.) The color of Aqueous solution turns

The color of Aqueous solution turnslight green from blue, due to formation

The color of Aqueous solution turnslight green from blue, due to formationof iron sulphate.

b.) The color of the Aqueous solution

The color of the Aqueous solutionturns colorless from blue due to

The color of the Aqueous solutionturns colorless from blue due toformation of zinc sulphate.

Bells used in temples aren't made upof wood because wood isn't sonorousand hence can't produce ringing sound,and hence metals are used in makingbells.

phosphorous is kept in water becauseit is highly reactive and reacts vigorouslywith air if left free in atmosphere

a.) CuSO4+ Mg MgS04 +Cu

this is a single displacement reaction,where Magnesium being more reactivethan Copper, displaces copper from itscompound (copper sulphate) to formmagnesium sulphate.

b. H2S04 +Zn =) ZnS04+H2

b. H2S04 +Zn =) ZnS04+H2this is a single displacement reaction,where Zinc being more reactive thanhydrogen, displaces hydrogen from itscompound (sulphuric acid) to form Zincsulphate.

Step-by-step explanation:

I hope it helps

have a great day

#Liliflim

If an invertible symmetric n×n matrix A has a nonzero vector v in R^n such that Av is orthogonal to v, then it means that the dot product of Av and v is equal to zero. In other words, Av . v = 0. Using th peroperties of the dot product, we can rewrite this equation as:
v . A^T v = 0

Since A is symmetric, A^T = A, and we can rewrite the equation as:
v . A v = 0
This equation can be further simplified using the properties of the dot product:
v . A v = (A v) . v = 0
From this equation, we can see that the eigenvalues of A must be either positive or negative. If the eigenvalues of A are all positive, then v . A v > 0, which contradicts the equation v . A v = 0. Similarly, if the eigenvalues of A are all negative, then v . A v < 0, which also contradicts the equation v . A v = 0.
Therefore, the only way for there to exist a nonzero vector v in R^n such that Av is orthogonal to v is if the eigenvalues of A are both positive and negative. In other words, A must have both positive and negative

eigenvalues.

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Answer:

A = $12.30

Step-by-step explanation:

15 × 82 = 12.3

100

To test the claim about the average weight of high school students in Riyadh city, we can use a one-sample t-test. Here are the steps to perform the test:

Define the null hypothesis (H0) and the alternative hypothesis (Ha):

Null hypothesis (H0): The average weight of high school students in Riyadh city is 230 pounds or less.

Alternative hypothesis (Ha): The average weight of high school students in Riyadh city is greater than 230 pounds.

Set the significance level (α): The significance level is given as α = 0.1, which means we are willing to accept a 10% chance of making a Type I error.

Calculate the test statistic:

Sample mean (): 232

Population standard deviation (σ): 10

Sample size (n): 52

The test statistic is calculated using the formula:

t = (- μ) / (σ / √n)

where μ is the hypothesized population mean.

Plugging in the values, we get:

t = (232 - 230) / (10 / √52)

Determine the critical value: Since the alternative hypothesis is one-tailed (greater than), we need to find the critical value from the t-distribution table at the given significance level and degrees of freedom (n - 1 = 52 - 1 = 51).

Compare the test statistic with the critical value:

If the test statistic is greater than the critical value, we reject the null hypothesis.

If the test statistic is less than or equal to the critical value, we fail to reject the null hypothesis.

Calculate the p-value: If desired, you can calculate the p-value associated with the test statistic and compare it with the significance level. If the p-value is less than the significance level, we reject the null hypothesis.

Please provide the critical value associated with the given significance level (α) and the degrees of freedom (df = n - 1).

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\( \frac{ {2}^{5} \times {3}^{ 3} \times 4}{9 \times 32} \\ \frac{ {2}^{5} \times {3}^{ 3} \times 4}{ {3}^{2} \times {2}^{5 } } \\ \\ \\ \\ therefore \: answer \: is \: 12\)

Answer:

12

Step-by-step explanation:

2⁵ = 2*2*2*2*2 = 32

3³ = 3*3*3 = 27

(2⁵ x 3³ * 4) / (9 x 32) = (32 x 9 x 3 x 4) / (9 x 32) = 3 x 4 = 12

Answer:

I djdhdhdh47747

Step-by-step explanation:

jrhrhdhrhdbdndbdbdjdjdjfjfjfjfjfjfjfjffuufufurtuhrbrbrnrntjrjfjfjdjfufufjfjfjfjffiitiririfiififig

Using monthly payment formula, the Smith Family's total monthly payment is approximately $2,360.99.

To calculate the total monthly payment for the Smith Family, we need to consider the mortgage payment, insurance, property tax, and HOA fees.

1. Mortgage Payment:

The loan amount is the house price minus the down payment:

$350,000 - $70,000 = $280,000.

To calculate the monthly mortgage payment, we need to determine the interest rate and loan term. Since you mentioned it's a 15-year loan, we'll assume an interest rate of 4% (which can vary depending on market conditions and the borrower's credit).

We can use a mortgage calculator formula to calculate the monthly payment:

M = P [i(1 + i)ⁿ] / [(1 + i)ⁿ⁻¹]

Where:

M = Monthly mortgage payment

P = Loan amount

i = Monthly interest rate

n = Number of months

The monthly interest rate is the annual interest rate divided by 12, and the loan term is 15 years, which is 180 months.

i = 4% / 12 = 0.00333 (monthly interest rate)

n = 180 (loan term in months)

Plugging in the values into the formula:

M = $280,000 [0.00333(1 + 0.00333)¹⁸⁰] / [(1 + 0.00333)¹⁸⁰⁻¹]

Using a calculator, the monthly mortgage payment comes out to be approximately $2,014.99.

2. Insurance:

The monthly insurance payment is given as $66.

3. Property Tax:

The monthly property tax payment is given as $230.

4. HOA Fees:

The HOA fees are stated as $600 per year. To convert this to a monthly payment, we divide by 12 (months in a year): $600 / 12 = $50 per month.

Now, let's add up all these expenses:

Mortgage payment: $2,014.99

Insurance: $66

Property tax: $230

HOA fees: $50

Total monthly payment = Mortgage payment + Insurance + Property tax + HOA fees

Total monthly payment = $2,014.99 + $66 + $230 + $50

Total monthly payment = $2,360.99

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The probability that the next person will pay with a debit card is:

P =  0.63

We want to find he probability that the next customer will pay with a debit card.

That probability can be estimated as the quotient between the number of customers that paid with debit card and the total number of customers.

We know that:

15 paid in cash.

50 paid with debit card.

15 paid with credit card.

For a total of 15 + 50 + 15 = 80

Then the probability is:

P = 50/80 = 0.63

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Answer:

61

Step-by-step explanation:

11^2 + 60^2 = 3721

square root of that is 61

put it in a calculator

Answer:

I think the answer would be

V≈7238.23cm³

Answer:

2304π or 7238.229474 cm^3

Step-by-step explanation:

To find the volume of a sphere use this formula.

\(V = \frac{4}{3} \pi r^3\)

4/3 * π * 12^3 = 4/3 * π * 1728

4/3 * 1728 = 2304

2304 * π = 2304π

Or it can be 7238.229474 cm^3

SO the final answer is 2304π  or 7238.229474 cm^3

Hope it helped! My answer is expert verified.

Answer:

26

Step-by-step explanation:

3x5=15

2x5=10x2=20+2x2=26

Answer:16 hours

Step-by-step explanation:

if he drew 3 in 2 ,you can do 24 divided by 3, will eaqual 8, than you multiply by 2 getting 16

B’B is 3.5

Step-by-step explanation:

Segment A'B' is parallel to segment AB.

So, The length of segment AB is 7.5 units

The length of segment B'B is 3.5 units

Given :

Segment A'B' is parallel to segment AB. Few sides of the triangle is given.

Apply basic proportionality theorem

When  A'B' is parallel to segment AB then sides are proportional

\(\frac{CB'}{B'B} =\frac{CA'}{A'A}\)

Substitute the values

\(\frac{7}{B'B} =\frac{6}{3} \\cross \; multiply\\7(3)=B'B(6)\\21=B'B(6)\\Divide \; by \; 6\\B'B= \frac{21}{6} \\B'B=3.5\)

Now we find AB by making a proportion

\(\frac{CA'}{CA} =\frac{BA'}{BA} \\\frac{6}{9} =\frac{5}{AB} \\Cross \; multiply\\6(AB)=5 \cdot 9\\6AB=45\\Divide \; by \; 6\\AB=7.5\)

The length of segment AB is 7.5 units

The length of segment B'B is 3.5 units

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Answer:

x=2 I think

Step-by-step explanation:

I'm not sure tho

Answer:

-1/2

Step-by-step explanation:

If you make annual payments of $1400 for 8 years at a 6% interest rate compounded annually, the total amount accumulated over the 8-year period would be approximately $12,350.

To explain further, when you make annual payments of $1400 for 8 years, you are essentially depositing $1400 into an account each year. The interest rate of 6% compounded annually means that the interest is added to the account balance once a year.

To calculate the total amount accumulated, you can use the formula for the future value of an ordinary annuity:

FV = P * ((1 + r)^n - 1) / r

where FV is the future value, P is the payment amount, r is the interest rate per compounding period (in this case, 6% or 0.06), and n is the number of compounding periods (in this case, 8 years).

Plugging in the values, we have:

FV = $1400 * ((1 + 0.06)^8 - 1) / 0.06

≈ $12,350

Therefore, the total amount accumulated over the 8-year period would be approximately $12,350.

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Answer:

x=2

Step-by-step explanation:

Please see attached picture for full solution.

Answer:

y = -1/8x - 1/2

Step-by-step explanation:

For perpendicular lines, the product of their gradient is -1

this using line 1 equation y = 8x - 3 we get the gradient of line 1 as 8

m1m2 = -1

8m2 = -1

m2 = -1/8

using the given point (4,-1) and another unknown point (X,y) we can write the equation of line 2

G = ∆y/∆x

-1/8 = y +1/x-4

we then cross multiply

8(y+1) = -(x-4)

8y + 8 = -x +4

8y = -x -4

y = -1/8x - 1/2

The solutions to the equation 3x^2 - 9x - 12 = 0 are x = 4 and x = -1.

To solve the quadratic equation 3x^2 - 9x - 12 = 0, we can use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a),

where a, b, and c are the coefficients of the quadratic equation.

In this case, a = 3, b = -9, and c = -12. Substituting these values into the quadratic formula, we have:

x = (-(-9) ± √((-9)^2 - 4 * 3 * (-12))) / (2 * 3)

= (9 ± √(81 + 144)) / 6

= (9 ± √(225)) / 6

= (9 ± 15) / 6.

We have two possible solutions:

For the positive root:

x = (9 + 15) / 6

= 24 / 6

= 4.

For the negative root:

x = (9 - 15) / 6

= -6 / 6

= -1.

The solutions to the equation 3x^2 - 9x - 12 = 0 are x = 4 and x = -1.

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Answer:

C

Step-by-step explanation:

The pre-image of a reduction is always bigger. Reduction means to "get smaller," so the pre-image needs to be bigger than the ending image.

Answer:

C i think is the answer

The vertical velocity of the string at the origin at time t would be zero, as the origin is a fixed point.

The origin is a fixed point, so it does not move. This means that the vertical velocity of the string at the origin at time t would be zero.

The origin of the string is a fixed point, meaning that it does not move. This implies that the vertical velocity of the string at the origin at time t would be zero, as the origin does not move or change its position. Since the origin is a fixed point, the vertical velocity of the string at the origin at time t would remain constant, and would be equal to zero. Thus, the vertical velocity of the string at the origin at time t would be zero.

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The probability of choosing a white marble from the box can be determined by dividing the number of white marbles by the total number of marbles.

In this case, the box contains 7 green marbles and 6 white marbles, so the total number of marbles is 13.

To find the probability, we divide the number of white marbles (6) by the total number of marbles (13):

Probability of choosing a white marble = 6 / 13

To express this as a decimal number, we divide 6 by 13:

Probability of choosing a white marble ≈ 0.4615 (rounded to 4 decimal places)

The probability of choosing a white marble from the box is approximately 0.4615.

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Answer:

he actual densities of pure, dry, geologic materials vary from 880 kg/m3 for ice (and almost 0 kg/m3 for air) to over 8000 kg/m3 for some rare minerals. Rocks are generally between 1600 kg/m3 (sediments) and 3500 kg/m3 (gabbro).

Step-by-step explanation:

Answers:

x = 72

y = 83

============================================================

Explanation:

Angle VFG is 50 degrees. The angle adjacent to this is angle EFG which is 180-50 = 130 degrees.

Angle HDW is 77 degrees. The supplementary angle adjacent to this is 180-77 = 103 degrees which is angle EDH.

Pentagon EFGHD has the following five interior angles

Note that angles F = 130 and D = 103 were angles EFG and EDH we calculated earlier.

For any pentagon, the interior angles always add to 180(n-2) = 180(5-2) = 180*3 = 540 degrees.

This means,

E+F+G+H+D = 540

x+130+170+65+103 = 540

x+468 = 540

x = 72

---------------------------------------

Now focus your attention on triangle THS

We see that the interior angles are

The angle H is 65 degrees because it's paired with the other 65 degree angle shown. They are vertical angles.

For any triangle, the angles always add to 180

T+H+S = 180

y+65+32 = 180

y+97 = 180

y = 180-97

y = 83

Answer:

4.06×10^-2

hope that helps uh..☺

Answer:

Ans; 0.0406 = 4.06 ×10–²

The answer to the following algebra is;

b² at b = 4 is 16

y /5 at y = 15 is 3

27/s at s = 9 is 3

q/3 + 4 at q = 3 is 5

Algebra is the system for computation using letters or other symbols to represent numbers, with rules for manipulating these symbols.

Given the following:

b² at b = 4

substitute b = 4

= 4²

= 4 × 4

= 16

y /5 at y = 15

substitute y = 15

= 15/5

= 3

27/s at s = 9

substitute s = 9

= 27/9

= 3

q/3 + 4 at q = 3

substitute q = 3

= 3/3 + 4

= 1 + 4

= 5

In conclusion, the algebraic expression is solved by substituting the value of the variables.

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The values of p1, p2, p3 that minimize Var(X) are p1 = 0, p2 = 1/3, and p3 = 2/3.

We can use the following formulas to find the variance of X:

Var(X) = E[X^2] - (E[X])^2

E[X] = p1 + 2p2 + 3p3

E[X^2] = p1 + 4p2 + 9p3

Substituting these expressions into the formula for the variance, we get:

Var(X) = p1 + 4p2 + 9p3 - (p1 + 2p2 + 3p3)^2

Simplifying this expression, we get:

Var(X) = -\((p1^2 + 2p2^2 + 3p3^2) + 2p1p2 + 6p1p3 + 4p2p3\)

To maximize Var(X), we want to maximize this expression subject to the constraint p1 + p2 + p3 = 1. We can use Lagrange multipliers to find the maximum. Let:

L(p1, p2, p3, λ) = -\((p1^2 + 2p2^2 + 3p3^2) + 2p1p2 + 6p1p3 + 4p2p3 + λ(1 - p1 - p2 - p3)\)

Taking partial derivatives and setting them equal to zero, we get:

-2p1 + 2p2 + 6p3 - λ = 0

4p1 - 4p2 + 4p3 - λ = 0

6p1 + 8p2 - 6p3 - λ = 0

p1 + p2 + p3 = 1

Solving these equations, we get:

p1 = 2/7, p2 = 3/7, p3 = 2/7, λ = 4/7

Therefore, the values of p1, p2, p3 that maximize Var(X) are p1 = 2/7, p2 = 3/7, and p3 = 2/7.

To minimize Var(X), we want to minimize the expression \(-(p1^2 + 2p2^2 + 3p3^2) + 2p1p2 + 6p1p3 + 4p2p3\) subject to the constraint p1 + p2 + p3 = 1. We can use the same Lagrange multiplier method to find the minimum. Taking partial derivatives and setting them equal to zero, we get:

-2p1 + 2p2 + 6p3 - λ = 0

4p1 - 4p2 + 4p3 - λ = 0

6p1 + 8p2 - 6p3 - λ = 0

p1 + p2 + p3 = 1

Solving these equations, we get:

p1 = 0, p2 = 1/3, p3 = 2/3, λ = 2/3

Therefore, the values of p1, p2, p3 that minimize Var(X) are p1 = 0, p2 = 1/3, and p3 = 2/3.

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Scoring in the 60th percentile on her math exam means that the student performed better than 60% of other test takers.

Percentile is a measure that indicates the percentage of data points that are below a particular value in a given dataset. In this case, the student's score is in the 60th percentile, which means she scored better than 60% of the other test takers.

Imagine arranging all the scores of the test takers in ascending order. The 60th percentile represents the score that is greater than 60% of the scores below it and less than 40% of the scores above it. It is a way of understanding how a particular score compares to the rest of the scores in the group.

However, it also means that 40% of the test takers scored higher than her.  If the student scored in the 60th percentile, it indicates that she performed relatively well compared to the majority of the test takers.

Percentiles provide a useful way to interpret individual scores in relation to the entire distribution of scores in a dataset.

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