x=tan^{-1} (25)/(29)

The values of x in the interval [0,2π] are given by:

\(\frac{5\pi}{6} \leq x\leq \frac{\pi}{6}\)

Given: 9 sin (x) \(\leq \frac{9}{2}\)

To find: Values of x in the interval \([0,2\pi]\).

Finding:

As 9 sin (x) \(\leq \frac{9}{2}\),

=> \(sin(x)\leq \frac{1}{2}\)

As, \(sin (\frac{\pi}{6})=sin(\frac{1}{2})\),

=> \(sin(x)\leq sin(\frac{\pi}{6})\)

=> \(x\leq \frac{\pi}{6}\), i.e., the principle value of x.

As sin (x) = sin (π - x), \(\pi -x\leq \frac{\pi}{6}\)

=> \(\pi -\frac{\pi}{6}\leq x\)

=> \(\frac{5\pi}{6}\leq x\)

Hence, the values of x in the interval [0,2π] are given by:

\(\frac{5\pi}{6} \leq x\leq \frac{\pi}{6}\)

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the formula is a^2+b^2=c^2

A and B are the sides doesn't matter which

C is always across from the right angle

so fill x in accordingly

4^2+3^2=x^2

16+9=

25= x^2

square root both 25 and x^2

25 becomes 5

x^2 becomes x

x=5

and just apply this to the other problems

Answer: 10 magdalenas

espero que esto ayude

The amount of sales tax is $87.79.

Given a total purchase price of a sofa as $1,254.07 and state taxes of 7%.

We are required to calculate the amount of sales tax.

The amount of sales tax can be calculated by multiplying the purchase price by the sales tax rate.

Let's represent the sales tax rate by `r`.

Therefore, the sales tax formula is expressed as:

Sales tax = r * purchase price

In this case, the rate of the sales tax `r` is 7%.

Therefore, we have:r = 7% = 0.07

Now we substitute the values given into the formula:

Sales tax = 0.07 * $1,254.07= $87.79

Therefore, the amount of sales tax is $87.79.

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The surface area of the new single-serving soup can, with a volume ratio of 24:8, will be approximately 11.164 square inches.

To determine the surface area of the new single-serving soup can, we can use the concept of ratios and proportions.

Let's assume the radius of the large can is represented by R and the radius of the single-serving can is represented by r.

The volume of a cylinder can be calculated using the formula V = πr^2h, where V is the volume, r is the radius, and h is the height.

We know that the large can has a volume of 24oz, so we have:

24 = πR^2h

Now, we need to find the height of the single-serving can. Since the large can and the single-serving can have the same height (we assume), we can set up a ratio of their volumes:

24/8 = πR^2h / πr^2h

Simplifying the equation, we have:

3 = (R^2h) / (r^2h)

Since the height cancels out, we can rewrite the equation as:

3 = R^2 / r^2

To find the ratio of the surface areas, we square both sides of the equation:

9 = (R^2 / r^2)^2

Now, we can find the surface area ratio:

100.48 / A = 9

Solving for A (the surface area of the single-serving can), we have:

A = 100.48 / 9

Calculating the value, we find that the new single-serving surface area will be approximately 11.164 in².

Therefore, the new single-serving soup can will have a surface area of approximately 11.164 square inches.

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Clients with a QuickBooks Online Plus subscription have the ability to create a total of 400 ungrouped tags and 1000 grouped tags, which can be distributed among up to 40 tag categories.

QuickBooks Online Plus offers users the flexibility to categorize transactions using tags. Tags are a way to organize and track transactions based on specific criteria or categories. There are two types of tags available: ungrouped tags and grouped tags.

With a QuickBooks Online Plus subscription, clients can create a maximum of 400 ungrouped tags. These tags can be assigned to individual transactions to provide additional information or categorization. Clients can create up to 40 tag categories and distribute the 1000 grouped tags among these categories.

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The amount of simple interest earned on a $970 investment after 2 years at a semi-annual interest rate of 2% is $19.40.

We may use the simple interest formula, which is: to determine how much simple interest was gained on a $970 investment after two years at a 2% semi-annual interest rate.

I = P * r * t

where I equals interest accrued

Principal (P) (the initial investment)

r = annual interest rate (in decimal form)

T is the duration in years.

As the interest rate is stated as a semi-annual rate, we must double the time period by two and divide the interest rate by two to convert them to years.

When we enter the specified values into the formula, we obtain:

I = $970 * 0.02/2 * 2 = $19.40

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The values of the variable in the equations will be:

x = 4

y = 8

x = 4.5

m = 2.25

x > 23/6

a. 3x + 5 = 17

Collect like terms

3x = 17 - 5

3x = 12

x = 12 / 3

x = 4

b. 7y - 1 = 55

Collect like terms

7y = 55 + 1

7y = 56

y = 56/7

y = 8

c. 9 + 2x = 18

Collect like terms.

2x = 18 - 9.

2x = 9

x = 9/2

x = 4.5

d. 22 = 8m - 4

Collect like terms

8m = 22 - 4

8m = 18

m = 18/8

m = 2.25

e. 6x + 3 > 26

6x > 26 - 3

6x > 23

x > 23/6

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Answer:

x=72

Step-by-step explanation:

x/6+9=21

x/6=21-9

x/6=12

6(x/6)=12(6)

x=12x6

x=72

Answer:

\(\frac{-29}{36}\)π

Step-by-step explanation:

The correct option among the given choices is $4,918.16.

To calculate the future value, we can use the formula for compound interest:

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

Where:

FV is the future value

P is the principal amount (initial investment)

r is the interest rate (in decimal form)

n is the number of compounding periods per year

t is the number of years

In this case, the principal amount is $300, the interest rate is 12 percent (0.12), the compounding is semiannual (n = 2), and the time period is 24 years. Plugging these values into the formula, we get:

FV = $300 * \((1 + 0.12/2)^(2*24)\)

  ≈ $300 * \(1.06^{48}\)

  ≈ $300 * 4.91816

  ≈ $1,475.45

Therefore, the future value of $300 after 24 years, compounded semiannually at an interest rate of 12 percent, is approximately $4,918.16. Among the given options, the closest match is $4,918.16.

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The given problem asks us to approximate the value of the function f at certain points and determine whether the function is increasing or decreasing when moving from one point to another.

we need to approximate f(1, 1.5) and f(1, 2.5), and determine the behavior of the function when moving from (1, 1.5) to (1.5, 1.5).

(a) To approximate f(1, 1.5), we locate the level curve that passes through the point (1, 1.5) and find its corresponding value on the vertical axis. The value appears to be approximately 1.2.

(b) Similarly, to approximate f(1, 2.5), we locate the level curve passing through the point (1, 2.5) and find its corresponding value on the vertical axis. The value appears to be approximately 1.8.

(c) To determine the behavior of the function when moving from (1, 1.5) to (1.5, 1.5), we observe the level curves. Since the level curves are concentric circles centered at the origin, it indicates that the function remains constant along these curves. Therefore, when moving from (1, 1.5) to (1.5, 1.5), the function remains constant, implying that it neither increases nor decreases. The rate of change is zero.

The approximate values of f(1, 1.5) and f(1, 2.5) are 1.2 and 1.8, respectively. When moving from (1, 1.5) to (1.5, 1.5), the function remains constant, indicating neither an increase nor a decrease, with a rate of change of zero.

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If you edit the question or repost I can answer if you provide an image! :D

Answer:

Step-by-step explanation:

The order of the decimals are 15.03, 15.2, then 15.25. Casey ran the farthest. (Casey is 15.25) I hope this helps you even though this was 2 weeks ago. :>

The distance between the light hοuse and the whale is 109.5m

The angle with the hοrizοntal line frοm the οbject that is present in the dοwnward directiοn.

The angle οf depressiοn is 12 and the height οf the light hοuse is 23m.

An equatiοn is a fοrmula in mathematics that expresses the equality οf twο expressiοns by cοnnecting them with the equals sign (=). The wοrd equatiοn and its cοgnates in οther languages may have subtly different meanings; fοr example, in French, an équatiοn is defined as cοntaining οne οr mοre variables, whereas in English, an equatiοn is any well-fοrmed fοrmula cοnsisting οf twο expressiοns linked by an equals sign.

Distance between the whale and the light hοuse is x metre.

\(\frac{23}{x}= tan 12\)

\(x= \frac{23}{0.21}=109.5 m\)

Hence, the distance between the whale and the light house is 109.5 metre.

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Answer:

A

Step-by-step explanation:

Here, we are told to calculate the length of the side labeled c.

The best thing to do here is to use sine rule.

Mathematically;

c/sin 28 = 3/sin 36

3sin 28 = c sin 36

c = 3sin 28/sin 36

c = 2.396 which is approximately 2.40 yds

Answer:

A. 2.4 yds

Step-by-step explanation:

Answer:

8x+7

Step-by-step explanation:

The reason why I say this is because I subtracted 10x from 2x and then you get left with +7 so in conclusion I think the answer would be 8x+7

Answer:

A

Step-by-step explanation:

The distance across the river, if OC = 335 ft, RE = 245 ft, OR = 160 ft, is PR = 433.39 ft.

Comparing one quantity to another is what ratio is. For instance, the weight ratio is 1:3 if you weigh 30 kg and your father weighs 90 kg.

Given:

OC = 335 ft, RE = 245 ft, OR = 160 ft,

As you can see, the Δ PRE and Δ POC are similar to the AA similarity,

the ratio of the sides is also equal,

PR / PO = RE / OC

PR / PR + OR = 245 / 335

PR = 0.73PR + 0.73 × 160

PR = 117 / 0.27

PR = 433.39 ft

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Elijah will pass John after 5 hours, and they each will have traveled 310 miles. Then the correct option is C.

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

John and Elijah are both driving from New York City to Richmond.

John leaves at 7:20 and averages 60 mph (miles per hour) on the way.

Elijah leaves at 7:30 and averages 62 mph on the way.

The situation is modeled by this system, where x is the number of hours after Elijah leaves and y is the distance each will travel.

y = 60x + 10 ...1

y = 62x        ...2

The time is taken by Elijah to cross John will be

62x = 60x + 10

 2x = 10

   x = 5 hours

The distance traveled in 5 hours will be

y = 62 (5)

y = 310 miles

Elijah will pass John after 5 hours, and they each will have traveled 310 miles.

Then the correct option is C.

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Answer:

c

Step-by-step explanation:

i took the quiz

1   Y is distributed as N(aμ + b, a^2σ^2), as desired.

2  We have shown that under these conditions, E[XY] = E[X]E[Y].

To prove that Y is distributed as N(aμ + b, a^2σ^2), we need to show that the mean and variance of Y match those of a normal distribution with parameters aμ + b and a^2σ^2, respectively.

First, let's find the mean of Y:

E(Y) = E(aX + b) = aE(X) + b = aμ + b

Next, let's find the variance of Y:

Var(Y) = Var(aX + b) = a^2Var(X) = a^2σ^2

Therefore, Y is distributed as N(aμ + b, a^2σ^2), as desired.

We can use the definition of covariance to prove that E[XY] = E[X]E[Y]. By the properties of expected value, we know that:

E[XY] = ∫∫ xy f(x,y) dxdy

where f(x,y) is the joint probability density function of X and Y.

Then, we can use the fact that X and Y are independent to simplify the expression:

E[XY] = ∫∫ xy f(x) f(y) dxdy

= ∫ x f(x) dx ∫ y f(y) dy

= E[X]E[Y]

where f(x) and f(y) are the marginal probability density functions of X and Y, respectively.

Therefore, we have shown that under these conditions, E[XY] = E[X]E[Y].

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Answer:

Step-by-step explanation:

To find the compound interest earned on $50,000 in 10 years at 6.4% annual interest compounded quarterly, we can use the formula:

compound interest = principal * (1 + rate/n)^(n*t) - principal

where "principal" is the initial amount of money, "rate" is the annual interest rate, "n" is the number of times the interest is compounded per year, and "t" is the number of years.

Plugging in the given values, we get:

compound interest = $50,000 * (1 + 0.064/4)^(4*10) - $50,000

= $50,000 * (1.016)^40 - $50,000

= $50,000 * 2.6335 - $50,000

= $78,167.50 - $50,000

= $28,167.50

Therefore, the compound interest earned on $50,000 in 10 years at 6.4% annual interest compounded quarterly is $28,167.50.

Answer: Why did the fraction jump into the boiling water? It wanted to be reduced.

Step-by-step explanation:

Hope This Helps!

In triangle \($ABC$\), if\($\overline{AD}$ and $\overline{BE}$\)intersect at T, we have \($\frac{AT}{DT} = \frac{BT}{ET}$\)

In triangle \($ABC$\), let \($D$\)and E be points on \($\overline{BC}$\) and \($\overline{AC}$\)respectively. If \($\overline{AD}$\) and \($\overline{BE}$\) intersect at \($T$\), we can use the property of triangles and similar triangles to find the relationship between \($AT/DT$\) and \($BT/ET$\).

Using the property of triangles, we have:

\($\triangle ABE \sim \triangle DTE$\)(by AA similarity)

This implies that the corresponding sides of these triangles are proportional. In particular, we have:

\($\frac{AT}{DT} = \frac{BE}{DE} \quad \text{(1)}$\)

Similarly, using the property of triangles again, we have:

\($\triangle ABD \sim \triangle ETC$\) (by AA similarity)

This implies:

\($\frac{BT}{ET} = \frac{AD}{DE} \quad \text{(2)}$\)

From equations (1) and (2), we can see that \($\frac{AT}{DT} = \frac{BT}{ET}$\)since both ratios are equal to \($\frac{BE}{DE}$\).

Therefore, in triangle \($ABC$\), if\($\overline{AD}$ and $\overline{BE}$\)intersect at T, we have \($\frac{AT}{DT} = \frac{BT}{ET}$\)

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Answer:

90 people

Step-by-step explanation:

Total: $775

DJ: $250

Cake: $75

Unknown party guests each getting $5

Let the unknown be x

We can form an equation; DJ + Cake + x number of party guests = $775

250 + 75 + 5x = 775

325 + 5x = 775

Subtract 325 from both sides of the equals sign.

5x = 450

Make x the subject and divide both sides by 5

x = 90

There were 90 party guests.

E

1) Before plotting the solution on the number line, we need to solve this inequality. Looking attentively, we can see that the "a" coefficient is positive.

2) So, let's solve this:

To better explain how could we write the solution like this, let's sketch the parabola and the solutions:

Since we want to know the interval that is greater than or lesser than zero we'll pick the roots and the region that yields negative values.

3) On the number line, we can plot this including both zeroes (closed dots):

Hence, the answer is E

Answer: 17.75 pounds

Step-by-step explanation:

After putting soil in the first flower bed, Layla's bag was ⅝ full. The pound of soil will be: = 5/8 × 10 = 6.25 pounds

Eliana's bag was ⅖ full. The pound of soil will be: = 2/5 × 10 = 4 pounds

Nature's bag was ¾ full. The pound of soil will be: = 3/4 × 10 = 30/4 = 7.5 pounds

The number of pounds of soil that they put in the first flower bed altogether will be:

= 6.25 + 4 + 7.5

= 17.75 pounds

Option A is the correct answer.

For an experiment involving 2 Levels of factor A and 3 levels of factor B with a sample of n = 5 in each treatment condition, we need to calculate the value for df within treatments.

The formula to calculate df within treatments is given by, df within treatments = (A - 1) (B - 1) (n - 1)Where, A = Levels of factor AB = Levels of factor Bn = Sample size= 2 levels of factor A= 3 levels of factor B= 5 in each treatment conditionNow, df within treatments = (A - 1) (B - 1) (n - 1)= (2 - 1) (3 - 1) (5 - 1)= 1 × 2 × 4= 8Hence, the value of df within treatments is 8.

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Answer:

P(-5) = 109

Step-by-step explanation:

     If the polynomial p(x) is divided by the linear polynomial (x-a), the remainder is p(a).

   Dividend = divisor * quotient + remainder.

   p(x) = (x-a) * q(x) + p(a)

Here, q(x) is the quotient and p(a) is the remainder.

      P(x) = 4x² - x + 4

     P(-5) = 4*(-5)² - 1*(-5) + 4

              = 4*25 + 5 + 4

              = 100 + 5 + 4

              = 109

Answer:

eat same gooo

Step-by-step explanation:

bhosadi wala wala

khurta pajama kala kala

you ra bosadi wala