PLEASE HELP ASAP!
In the cryptarithm shown with sum 700, different letters stand for different digits, and no letter represents the digit 7 or 0. How many different numeric values for “SAT” are possible?

Using Trigonometric ratios, Tan(20 ) = -24/7 and cos(20) = 7/25

The trigonometric functions in mathematics are real functions that connect the right-angled triangle's angle to the ratios of its two side lengths. They are extensively employed in all fields of geometry-related study, including geodesy, solid mechanics, celestial mechanics, and many others.

It can be simpler to use a calculator when necessary. (See under)

The reference angle will be less than 45° since the magnitude of the tangent is less than 1. If the angle is less than 90 degrees when doubled, it will remain in the fourth quadrant, where the tangent is negative and the cosine is positive.

Additionally, you can use the identities.

cos(2) is equal to (1 - tan()2)/(1 + tan()2).

cos(2θ) = (1 -(-3/4)²)/(1 +(-3/4)²) = ((16-9)/16)/((16+9)/16)

cos(2θ) = 7/25

Tan(2)=2tan()/(1 -tan(2)2) = 2(-3/4)/((16-9/16) = (-6/4)(16/7)

tan(2θ) = -24/7

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Answer:

whatsup. ......

Step-by-step explanation:

its A :)

The equation of the function is: H = 4t + 10.

The y-intercept of the function is 10, which is the height of the plant when Liam initially bought it.

To write the equation of a function, first, find the slope (m) = rise / run. You can pick any two points on the line to find the slope. Next, find the y-intercept (b) which is the point where the line intercepts the vertical axis of the graph.

Find the slope using the two points from the given graph, (5, 30) and (10, 50):

Slope (m) = change in H / change in t = (50 - 30) / (10 - 5) = 20/5

m = 4

The y-intercept is b = 10 [in this context, it is the height of the plant when Liam initially bought it]

To write the equation of the function, substitute m = 4 and b = 10 into H = mt + b:

H = 4t + 10

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Answer:

Total surface of CYLINDER=2 pierh

=2*22\7**7*7*12=528cm2

volume of CYLINDER=pier2h

= 22\7*7*7*12=1848cm3

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Answer:

She has to drink 0.05 liters more

Step-by-step explanation:

She has to drink 2.5 liters of water each day.

The total amount of water she  drank  is

3/4 liters + 0.6 liters + 1.1 liters + x liters = 2.5 liters

0.75 liters + 0.6 liters + 1.1 liters + x liters = 2.5 liters

2.45 liters + x liters = 2.5 liters

x liters = 2.5 liters - 2.45 liters

x liters = 0.05 liters

She has to drink 0.05 liters more  or has not drunk 0.05 liters.

If she drinks 0.05 liters more she will reach her set goal.

3/4 liters

1 liter= 1000ml

3/4 liters= 3* 1000/4 ml

3/4 liters= 3000/4 ml

3/4 liters= 750  ml

750 ml/ 1000ml = 0.75 liters

Answer:

27 i think

Step-by-step explanation:

First, we write out the probability formula:

Total number of tickets = 13

Pr(both Ashley and Matt win) = Pr(Ashley wins) x Pr(Matt wins)

The final answer is 1/169

In order to express our answer as a percentage, we multiply by a 100%

= 1/169 x 100% = 0.592% ( to 3 significant figures)

Step-by-step explanation:

I believe its the one on the top of the second picture because if there is only 16 books they can sell then thats the only one that makes sence hope this helped

Graph third represents the situation if a bookstore sells art books for $25 each. There are 16 books at the store option (C) is correct.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

A bookstore sells art books for $25 each. There are 16 books at the store.

Let x be the total number of books sold and y be the total amount earned:

The linear equation can be framed as follows:

y = 25x

After plotting the graph of the above linear equation we will get a graph exactly the same as mentioned in the graph third.

Thus, the graph third represents the situation if a bookstore sells art books for $25 each. There are 16 books at the store option (C) is correct.

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To construct a 98% confidence interval for B₁, we can use the t-distribution since the sample size is small (n = 12).

Given the sample mean (B₁ = 46), sample standard deviation (s = 5.7), and sum of squares (SSzz = 57), we can calculate the confidence interval.

The formula for a confidence interval is:

Confidence Interval = Sample Mean ± (Critical Value * Standard Error)

For a 98% confidence level and n = 12, the critical value is approximately 2.681 (obtained from a t-distribution table).

The standard error is calculated as the sample standard deviation divided by the square root of the sample size (s / √n).

Plugging in the values:

Standard Error = 5.7 / √12 ≈ 1.647

Confidence Interval = 46 ± (2.681 * 1.647)

Therefore, the 98% confidence interval for B₁ is approximately (42.21, 49.79).

In conclusion, we can be 98% confident that the true value of B₁ falls within the range of 42.21 to 49.79 based on the given sample data.

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Answer:

B

Step-by-step explanation:

the equation of direct variation is

y = kx ← k is the constant of variation

divide both sides by x

\(\frac{y}{x}\) = k

substitute either of the ordered pairs from the table into the equation

using (4, 2 ) , then

k = \(\frac{2}{4}\) = \(\frac{1}{2}\)

using (12, 6 ) , then

k = \(\frac{6}{12}\) = \(\frac{1}{2}\)

the constant of variation is k = \(\frac{1}{2}\)

Answer:

A sequence is a chain of numbers all related. In this case, they are related by the rule "f(n + 1) = –10f(n)". Each number is called a term. Here is what the rule in this sequence means:

Since f(n + 1) is the "next" term and f(n) is the "current" term, to get to the next term, you take the current term and multiply by -10.

When they say f(1) = 1 it means that the first term (term number 1) is 1. When they ask "What is f(3)?", they are asking, "What is the 3rd term?"

Since term #1 is 1, then to find term #2, we multiply 1 by -10. So term #2 is -10. To find term #3, we take term #2 and multiply it by -10, so -10 x -10 = 100. So term #3 is 100

Step-by-step explanation:

(a) \(2 + (2 - 3/r) sin\theta cos\phi = 0\), the equation in spherical coordinates.

(b) 3 sinθ cosφ + 4 sinθ sinφ + 2 cosθ = 1/r, the equation in spherical coordinates.

(a) To write the equation \(2x^2 - 3x + 2y^2 + 2z^2 = 0\)in spherical coordinates, we need to express x, y, and z in terms of spherical coordinates. We have

x = r sinθ cosφ

y = r sinθ sinφ

z = r cosθ

Substituting these expressions into the given equation, we get

\(2(r sin\theta cos\phi)^2 - 3(r sin\theta cos\phi) + 2(r sin\theta sin\phi)^2 + 2(r cos\theta)^2 = 0\)

Simplifying, we get

\(2r^2(sin^2\theta cos^2\phi + sin^2\theta sin^2\phi) + 2r^2 cos^2\theta - 3r sin\theta cos\phi = 0\)

Using the identity \(sin^2\theta + cos^2\theta = 1\), we can simplify this equation further to get

\(2r^2 + (2r^2 - 3r) sin\theta cos\phi = 0\)

Dividing both sides by \(r^2\) and rearranging, we get

\(2 + (2 - 3/r) sin\theta cos\phi = 0\)

This is the equation in spherical coordinates.

(b) To write the equation 3x + 4y + 2z = 1 in spherical coordinates, we again need to express x, y, and z in terms of spherical coordinates. Substituting these expressions into the given equation, we get

3(r sinθ cosφ) + 4(r sinθ sinφ) + 2(r cosθ) = 1

Simplifying, we get

r(3 sinθ cosφ + 4 sinθ sinφ + 2 cosθ) = 1

Dividing both sides by r and rearranging, we get

3 sinθ cosφ + 4 sinθ sinφ + 2 cosθ = 1/r

This is the equation in spherical coordinates.

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Answer:

Step-by-step explanation:

I need help

Answer:

Its B

Step-by-step explanation:

got it on edge

Answer: The correct answer is b

Step-by-step explanation:

25% off $30 is 22.50 and then when you add 7%ax it turns out to be 24.08

The simplified expression is equal to 2/3.

        2m⁰ * n⁶ / (3n⁵)

       2 * n⁶ / (3n⁵)

        2 * n / (3n) = 2/3

So the simplified expression is equal to 2/3.

The rules of arithmetic and exponentiation that I used to simplify the expression are general mathematical principles that are applicable to many mathematical problems. However, the specific techniques for simplifying an expression will depend on the particular expression and the context in which it is being used.

For example, there might be additional rules or simplification techniques that are specific to a particular field of mathematics, such as algebra, calculus, or geometry. In these cases, it's important to understand the specific rules and techniques that apply to the problem at hand in order to simplify an expression effectively.

In general, the goal of simplifying an expression is to make it easier to understand and manipulate mathematically, either for further calculations or for understanding the relationships between the variables involved.

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Answer:

\(y=sin^{-1}x\)

Step-by-step explanation:

Given: A point is \((0,2\pi)\)

To find: function whose graph passes through the given point

Solution:

A trigonometry explains the relationship between the sides and the angles of the triangle.

The inverse trigonometric functions \(sin^{-1}x\,,\,cos^{-1}x\,,\,tan^{-1}x\) help to find the value of an unknown angle of a right triangle when length of two sides are given.

Consider \(\sin y=x\)

Put \(y=2\pi\)

\(sin 2\pi=0\)

So, point \((0,2\pi)\) satisfies the function \(y=sin^{-1}x\)

Therefore, graph of function \(y=sin^{-1}x\) passes through \((0,2\pi)\)

Answer:it’s A y=cos^1(x)

Step-by-step explanation:

Edge 2020

Answer:

The answers final

Simplify the expression

-2+6x+1/2x^2

Factor the expression

1/2x(-4+12x+x^2)

Step-by-step explanation:

I hope it will help you :)

The number that can each terms of the equation be multiplied by to eliminate the decimals before solving is 100

The equation is

5.6j + 0.12 = 4 + 1.1j

The equation is defined as the mathematical expression that shows the relationship between one expression and another expression with equal sign. The equation consist of mathematical operator like addition, subtraction, division and multiplication

The equation is

5.6j + 0.12 = 4 + 1.1j

Here three term has fractional part.

In 0.12 there are two digits after the decimal point to eliminate the decimal number we have to multiply the number with 100 .

Then the equation will become

560j + 12 = 400 + 110j

Therefore, the number is 100

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The given question is incomplete, the complete question is

Which number can each term of the equation be multiplied by to eliminate the decimals before solving?

5.6j + 0.12 = 4 + 1.1j

Answer:

Step-by-step explanation:

Total toys = 12

Dolls = 7

Remaining = 12 - 7 = 5

So stuffed animals = 5

The ratio is 7 : 5

Option A is the correct answer

Answer:

The equation is

y = $ 12.35 x

Step-by-step explanation:

Cost of one bag of rocks = $ 12.35

Let there are x bags of rocks, so that the total cost is y.

So, the cost of 1 bag = $ 12.35

cost of x bags = $12.35 x

The total cost is

y = $12.35 x

It is the equation of a straight line which passes from origin and the slope is 12.35.

Answer:

Is Square Root of 25 Rational or Irrational?  

Step-by-step explanation:

A rational number can be expressed in the form of p/q. Because √25 = 5 and 5 can be written in the form of a fraction 5/1. It proves that √25 is rational.

The answer is:

Work/explanation:

What are rational numbers?

Rational numbers are integers and fractions.

Irrational numbers are numbers that cannot be expressed as fractions, such as π.

Now, \(\bf{\sqrt{25}}\) can be simplified to 5 or -5; both of which are rational numbers.

Spontaneous reactions are those that occur with no input of energy, and are characterized by a negative standard Gibbs free energy, a positive standard cell potential, and an equilibrium constant greater than one.

A spontaneous reaction is one that occurs without any external input of energy, and it always proceeds in a single direction. Characteristics of a spontaneous reaction include the following:

1. The standard Gibbs free energy of the reaction (δG°) is negative, indicating that the reaction is energetically favorable and will occur on its own.

2. The standard cell potential (δE°cell) is greater than zero, indicating that the reaction is capable of producing a useful electrical current.

3. The reaction's equilibrium constant (K) is greater than one, indicating that the reaction's products are favored over its reactants at equilibrium.

In summary, spontaneous reactions are those that occur with no input of energy, and are characterized by a negative standard Gibbs free energy, a positive standard cell potential, and an equilibrium constant greater than one.

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A. Manager A wants the decision to be 0.4, so they would recommend a decision of 0.4 to the principal.

B. The recommendations in the Nash equilibrium would be rA = 0.4 and rB = 0.7.

(a) If Manager B always truthfully reports the state of the economy (s = 0.7), Manager A would send a recommendation that minimizes their disutility Ua. In this case, Manager A wants the decision to be 0.4, so they would recommend a decision of 0.4 to the principal.

(b) In a Nash equilibrium, both managers strategically make their recommendations based on their own utility. Manager A wants to minimize their disutility Ua, which increases as the decision deviates from 0.4. Manager B wants to minimize their disutility UB, which increases as the decision deviates from 0.7.

To find the Nash equilibrium, we need to consider the recommendations made by both managers simultaneously. Let's denote the recommendations as rA (from Manager A) and rB (from Manager B). The principal's decision, d, would be the average of the recommendations, so d = (rA + rB) / 2.

Given that both managers strategically choose their recommendations, they will aim to minimize their disutility. In this case, Manager A would recommend a decision of 0.4 (as it minimizes Ua), and Manager B would recommend a decision of 0.7 (as it minimizes UB). Therefore, the recommendations in the Nash equilibrium would be rA = 0.4 and rB = 0.7.

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Answer:

4/ 2/3= 12/2 = 6

You can make 6 batches.

Step-by-step explanation: