can u please help me pls i ll give 5 stars and a heart

Using trigonometric identity, cos(A-B) is:

\(cos (A-B) = \frac{2\sqrt{8}\ + \sqrt{5}}{9}\)

Trigonometry deals with the relationship between the ratios of the sides of a right-angled triangle with its angles.

If sin A = 1/3 and A terminates in Quadrant 1. All trigonometric functions in Quadrant 1  are positive

sin A = 1/3 (sine = opposite/hypotenuse)

adjacent = √(3² - 1²)

               = √8 units

cosine = adjacent/hypotenuse. Thus,

\(cos A = \frac{\sqrt{8} }{3}\)

If cos B = 2/3 and B terminates in Quadrant 4.

opposite = √(3² - 2²)

                = √5

In  Quadrant 4, sine is negative. Thus:

\(sin B = \frac{\sqrt{5} }{3}\)

We have:

cos(A-B) = cosA CosB + sinA sinB

\(cos (A-B) = \frac{\sqrt{8} }{3} * \frac{2}{3} + \left \frac{1}{3} * \frac{\sqrt{5} }{3}\)

\(cos (A-B) = \frac{2\sqrt{8} }{9} + \left\frac{\sqrt{5} }{9}\)

\(cos (A-B) = \frac{2\sqrt{8}\ + \sqrt{5}}{9}\)

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Answer:

Step-by-step explanation:

you can use the side angle side formula  ( a form of Law of Cosines)

a^2 = b^2 + c^2 − 2bc cos(A)

where x = a  , then

\(x^{2}\) =  \(5^{2}\) +\(3^{2}\) - 2*5*3*cos(107)

\(x^{2}\) = 25 + 9 - 30 * (-0.292371)

\(x^{2}\) = 25 + 9 -8.7711511

x = 5.0228 cm

Answer:

3y=10-2xor y=(1/3) (10-2x)

The area of the triangle is  \(12.74 cm^2.\)

To work out the area of a triangle, you need to use the formula

A = 1/2 x base x height.

In this case,

the base is 9.8cm

and the height is 2.6cm.

Therefore, the area of the triangle is:

A = 1/2 x 9.8cm x 2.6cm A

= \(12.74cm^2.\)

So, the area of the triangle is \(12.74 cm^2.\)

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The length of the QR is 16 cm when PQR ~MNO

In the given question, it is given that two similar triangles as PQR ~MNO

Then, the corresponding sides will be in equal proportion to each other as follows

PQ / MN = PR / MO = QR / NO

We need to find the length of the side QR

As above relations are given,

\(\frac{PQ}{MN}\) = \(\frac{PR}{MO}\) = \(\frac{QR}{NO}\)

\(\frac{30}{10}\) = \(\frac{5x + 7}{x+5}\) = \(\frac{4x}{\frac{16}{3} }\)

Equating all the fractions, equal to each we'll find

\(\frac{5x + 7}{x+5}\) = \(\frac{30}{10}\)

5x + 7 = 3(x +5)

5x + 7 = 3x + 15

2x = 8

x = 4

We know that, the length of the QR = 4x cm = 4 x 4 cm = 16 cm

Therefore, the length of the QR is 16 cm when PQR ~MNO

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Answer:

\({ \tt{2 {x}^{2} + 10x + 8 }} \\ { \tt{ = (x + 1)(x + 4)}}\)

Answer:

A. 2 ( x + 4 )( x + 1 )

Step-by-step explanation:

2x² + 10x + 8

factor out 2 from the equation

2 ( x² + 5 x + 4 )

write 5x as a sum and rewrite the expression

2 ( x² + 4x + x + 4 )

factor out x from the equation

2 ( x ( x + 4 ) + x + 4 )

factor out x + 4 from the equation

2 ( x + 4 ) ( x + 1 )

Answer: it’s 9

Step-by-step explanation:

54 divined by 6 = 9

Answer:

16 cups of sugar

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

So our ratio here is 2:3. Here's what we're gonna do:

2 + 3 = 5 for every time he makes the recipe

40 / 5 = 8

To double check:

2 x 8 = 16

3 x 8 = 24

16 + 24 = 40

Answer:

10 - (-2) = 12, 10 + 2 = 12

Step-by-step explanation:

10 - (-2) = 12

10 + 2 = 12

By using combination, we find that there are 1.476 x 10^16 ways to seat 15 men and 9 women around a circular table such that all women sit together.

Treat the group of women as a single entity. There are 15 + 1 = 16 people to arrange around the table.

The number of ways to seat them in a circle is (16-1)! = 15!. However, since the women must sit together, we must multiply this by 9!, the number of ways to arrange the women within their group.

Therefore, the total number of ways to seat 15 men and 9 women around a circular table with all women sitting together is 15! * 9! = 1.476 x 10^16.

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The correct answer is: c. The n-th error term (e_n) can be predicted with e_n = 0.91 * e_n - 1.

This statement indicates that there is a correlation or relationship between consecutive error terms, where the n-th error term can be predicted based on the previous error term. In a simple linear regression model, the error terms are assumed to be independent and have no correlation with each other.

However, if there is a correlation between the error terms, it violates the assumption of independence, which can lead to biased and unreliable regression results. Therefore, this condition suggests that the result from the simple linear regression model could be potentially misleading.

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Answer:

it would be C.

Answer:

14 mm squared is the area

Step-by-step explanation:

Answer:

x=-2, -4

Step-by-step explanation:

1(x+3)^2-1=0

Add 1 to each side

1(x+3)^2-1+1=0+1

(x+3)^2=1

Take the square root of each side

sqrt((x+3)^2)=sqrt(1)

x+3 = ±1

x+3 = 1    x+3 = -1

Subtract 3 from each side

x+3-3 = 1-3    x+3-3 = -1-3

x = -2     x=-4

Answer:

X = -2 X = -4

Step-by-step explanation:

Answer: D

PLEASE GIVE BRAINLIEST THANK YOU!!!

You have a number expresed as units, tens, hundreds and thosands and need to determine which number they form.

> 30 ones refers that this number has 30 units, it can laso be expresed as 3 tens.

> 2 thousands is equal to 2000

> 4 hundreds is equal to 400

> 60 ten, to determine this number you have to multiply 60 by 10 = 600

> 100 hundreds, means that you have 100 times one hundred, 100*100= 10000

Add all numbers: 30 + 2000 + 400 + 600 + 10000= 13030

John's cholesterol level at the 66th percentile is approximately 171.2 mg/dl.

To find John's cholesterol level at the 66th percentile, we can use the properties of the normal distribution.

Step 1: Convert the percentile to a z-score.

The z-score represents the number of standard deviations a value is away from the mean. We need to find the z-score corresponding to the 66th percentile.

To find the z-score, we can use the cumulative distribution function (CDF) of the standard normal distribution. The CDF gives the probability that a random variable is less than or equal to a given value.

Using a standard normal distribution table or a statistical calculator, we find that the z-score corresponding to the 66th percentile is approximately 0.43.

Step 2: Use the z-score to find the cholesterol level.

Given the z-score of 0.43, we can use the formula for converting z-scores to actual values:

Cholesterol level = Mean + (Z-score * Standard deviation)

Substituting the values into the formula:

Cholesterol level = 154 mg/dl + (0.43 * 40 mg/dl)

Cholesterol level ≈ 154 mg/dl + 17.2 mg/dl

Cholesterol level ≈ 171.2 mg/dl

Therefore, John's cholesterol level at the 66th percentile is approximately 171.2 mg/dl.

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Answer:

The formula for calculating the size of an interior angle is: interior angle of a polygon = sum of interior angles ÷ number of sides. The sum of exterior angles of a polygon is 360°. The formula for calculating the size of an exterior angle is: exterior angle of a polygon = 360 ÷ number of sides.

Step-by-step explanation:

Number of children in the group is 19

Let's assume that there were "x" children in the group.

Then the number of adults in the group will be (65 - x).

The total cost of children would be "x" multiplied by $23, which is 23x.

The total cost of adults would be (65 - x) multiplied by $35, which is 35(65 - x).

According to the problem, the total cost paid by the group was $2047, so we can set up an equation

23x + 35(65 - x) = 2047

Simplifying and solving for "x", we get

23x + 2275 - 35x = 2047

-12x = -228

x = 19

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Answer:

  8.5 years

Step-by-step explanation:

You want to know the number of years until 18500 depreciates to 9100 at the rate of 8% per year.

The depreciation rate given as a percentage of current value tells you the depreciation is exponential. The formula will be ...

  value = (initial value) × (1 - (depreciation rate))^t

where the rate is "per year" and t is in years.

  value = 18500·(1 -0.08)^t

  9100 = 18500·0.92^t . . . . fill in the value of interest

  9100/18500 = 0.92^t . . . . divide by 18500

  log(91/185) = t·log(0.92) . . . . take logarithms

  t = log(91/185)/log(0.92) ≈ -0.3081/-0.03621 ≈ 8.509

It will be about 8.5 years until the value is $9100.

__

Additional comment

The graph shows the solution to ...

  18500·0.92^t -9100 = 0

We find it fairly easy to locate an x-intercept, so we wrote the equation in the forms that makes the x-intercept the solution.

Answer:

-25

Step-by-step explanation:

\(-5^2=-25\)

The volume of a triangular right prism whose area is 15.2 inches and height is 9.7 inches is  147.44 in³

Volume is the amount of space occupied by a three dimensional shape or object.

The volume of a triangular prism is given by:

Volume = Area of triangular base * height.

Hence, for a triangular right prism whose area is 15.2 inches. If its height is 9.7 inches:

Volume = 15.2 * 9.7 = 147.44 in³

The volume of a triangular right prism whose area is 15.2 inches and height is 9.7 inches is  147.44 in³

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In the △IGH, the measurement of the angles are m∠G = 114°, m∠H = 49°, and m∠I = 17°.

What is an angle?

An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.

Given that,

m∠G = (7x - 5)°, m∠H = (3x - 2)°, and m∠I = x°.

The sum of interior angles of a triangle is 180°.

Therefore,

m∠G + m∠H + m∠I = 180°

Putting m∠G = (7x - 5)°, m∠H = (3x - 2)°, and m∠I = x°:

(7x - 5)° + (3x - 2)° + x° = 180°

Combine like terms:

(7x + 3x + x) - (5 + 2) =180

11x - 7 = 180

Add 7 on both sides:

11x = 187

Divide both sides by 11:

x = 187/11

x = 17

Now putting x = 17 in m∠G = (7x - 5)°, m∠H = (3x - 2)°, and m∠I = x°:

m∠G = (7×17 - 5)° = 114°

, m∠H = (3×17  - 2)° = 49°

m∠I =  17°

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Answer:

1/4*4*3=12

12 boxes

Step-by-step explanation:

........

Under normalized market conditions, the type of buyer that would be expected to pay the highest price for a given target is a strategic buyer.

A strategic buyer is typically a larger company that is looking to acquire another company in order to gain strategic advantages such as access to new markets, technologies, or synergies. These buyers are often willing to pay a premium for the target company as they see it as a strategic investment. Additionally, strategic buyers often have more resources and financial backing, allowing them to offer higher prices compared to other types of buyers such as financial buyers or individual investors.

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Question is: Under normalized market conditions, which type of buyer would be expected to pay the highest price for a given target?

Three dozen of these apples cost if Annalisa bought is equivalent to $23.40.

Given that:

Annalisa bought two dozen apples for $15.60.

Therefore, the value of one dozen apples will be calculated by dividing both values by 2.

i.e. We can say that,

Annalisa bought one dozen apples for $15.60/2 = $7.80.

So, we have to find out the value of three dozen of these apples.

Hence, we multiply both the 3 to get the cost of three dozen of apples.

Multiplying we get,

Annalisa if bought three dozen apple costs = $7.80 x 3 = $23.40.

We also know that, one dozen = 12 apples

So, three dozen = 36 apples

Therefore, we can say the cost of one apple = 23.40/36 = $0.65

Hence, it costs $23.40 for three dozen apples to Annalisa.

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The closest solution to this total among the available possibilities is 0.68, indicating that the portfolio is likely to surpass its benchmark in three or fewer quarters over the course of a year.

The field of mathematics concerned with probability is known as probability theory. Although there are various distinct interpretations of probability, probability theory approaches the idea rigorously mathematically by articulating it through a set of axioms.

Here,

The probability that the portfolio outperforms its benchmark in three or fewer quarters over the course of a year is the sum of the probabilities of outperforming the benchmark in exactly 0 quarters, 1 quarter, 2 quarters, and 3 quarters.

Since the probability of outperforming the benchmark in any quarter is 0.75, the probability of not outperforming the benchmark in a quarter is 1 - 0.75 = 0.25.

The probability of not outperforming the benchmark in exactly 0 quarters is 0.25⁰ = 1

The probability of not outperforming the benchmark in exactly 1 quarter is 0.25¹= 0.25

The probability of not outperforming the benchmark in exactly 2 quarters is 0.25² = 0.0625

The probability of not outperforming the benchmark in exactly 3 quarters is 0.25³ = 0.015625

So, the probability of outperforming the benchmark in exactly 0 quarters, 1 quarter, 2 quarters, and 3 quarters is 1 - 0.25⁰, 1 - 0.25¹, 1 - 0.25², and 1 - 0.25³, respectively.

The sum of these probabilities is the probability of outperforming the benchmark in three or fewer quarters over the course of a year:

P(outperform in three or fewer quarters) = 1 - 0.25⁰ + 1 - 0.25¹ + 1 - 0.25² + 1 - 0.25³

This expression can be calculated to get an exact answer, but to get the closest answer to the options given, we can round off the intermediate results to 2 decimal places:

P(outperform in three or fewer quarters) = 1 + 0.75 + 0.94 + 0.98

The closest answer to this sum among the options given is 0.68, so the probability that the portfolio outperforms its benchmark in three or fewer quarters over the course of a year is closest to 0.68.

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Answer: 4 scarves.

Step-by-step explanation: $47-$19= 28. 28 divided by $7 is 4, so Jesse could buy 4 scarves with the remaining money.

The properties used, in order, are:

We start by writing the linear equation:

3*(x + 2) = 4x + 1

The first step is using the distributive property to distribute the left product.

3x + 6 = 4x + 1

Then we use the addition property of equality to subtract 4x in both sides, we will get:

-x + 6 = 1

And we use it again to subtract 6 in both sides:

-x = 1 - 6 = -5

Finally, we multiply both sides by -1 (multiplication property of the equality)

x = 5

That is the solution of the linear equation.

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