( PLASE HELP ME) Solve the following equation.

5(x−4)=−10

Please provide both your answer AND your work. You will not receive full credit if you do not show your work for this question.

Answer:

The Y intercept is (0,7)

Step-by-step explanation:

If it is a y intercept, there will be a number in the y coordinate. For example, (x,y) if the point said (7,0) that would be the x intercept. Because it it (0,7) and in the y place that makes it a y intercept. I hope this helped :)

"a lawyer researched the average number of years served by 45 different justices on the supreme court. the average number of years served was 13.8 years with a standard deviation of 7.3 years.

The 95% confidence interval estimate for the average number of years served by all supreme court justices is [11.2, 16.4].According to the central limit theorem , a sampling distribution of the means is usually distributed in a normal distribution, given a big enough sample size, which means that it has a bell-shaped curve. It has a standard deviation that can be estimated by dividing the population standard deviation by the square root of the sample size. Using the formula below,

we can calculate the 95% confidence interval for the population average.= 13.8 ± (1.96 × 7.3 / √45)

= 13.8 ± (1.96 × 1.088)

= 13.8 ± 2.13The limits are calculated by adding and subtracting the calculated value from the sample mean.13.8 + 2.13

= 15.9313.8 - 2.13

= 11.67Therefore, the 95% confidence interval estimate for the average number of years served by all supreme court justices is [11.2, 16.4].

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Answer:

The trigonometric functions, sin, cos and tan for an angle are the primary functions. The value for cos 60 degrees and other trigonometry ratios for all the degrees 0°, 30°, 45°, 90°, 180° are generally used in trigonometry equations. These trigonometric values are easy to memorize with the help trigonometry table.

Cos 60 Degree Value

In a right-angled triangle, the cosine of ∠α is a ratio of the length of the adjacent side (base) to the ∠α and its hypotenuse, where ∠α is the angle formed between the adjacent side and the hypotenuse.

Cos 60 Degree value

Cosine α = Adjacent Side / Hypotenuse

Cos α = AC / AB

Cos α = b / h

Now, to find the value of cos 60 degrees, let us consider, an equilateral triangle ABC as given below:

Cos 60 Degree

Here, AB = BC = AC and AD is perpendicular bisecting BC into two equal parts.

As we know, cos B = BD/AB

Let us consider the length of each side as 2 units, such as AB = BC = AC = 2 units and BD = CD = 1 unit.

Therefore, the value of cos 60° = BD/AB = ½

In the same way, we can write the value of sin 60° and tan 60° by evaluating the required sides.

In right triangle ABD, by Pythagoras theorem:

AB2 = AD2+ BD2

22 = AD2 + 12

AD2 = 22 -12

AD2 = 4 – 1

AD2 = 3

AD = √3

Now, we have got all the sides of triangle ABD.

Sin 60° = AD/AB = √3/2

Tan 60° = AD/BD = √3 / 1 = √3

We can also write the value of cos 60 degrees in decimal form as:

cos 60° = 1/2 = 0.5

Also, we can write the values of sine, cosine and tangent with respect to all the degrees in a table.

Let us draw a table with respect to degrees and radians for sine, cosine and tangent functions.

Angle in Degrees 0 30 45 60 90 180 270 360

Angle in Radians 0 π/6 π/4 π/3 π/2 π 3π/2 2π

Sin 0 1/2 1/√2 √3/2 1 0 -1 0

Cos 1 √3/2 1/√2 1/2 0 -1 0 1

Tan 0 1/√3 1 √3 ∞ 0 ∞ 0

Unit Circle in Trigonometry

It is possible to give the values of trigonometric ratios with respect to radians equivalent to degrees, in case of a unit circle, whose radius is equal to one. The radian for a unit circle is denoted by π. In the below figure, the angle values are represented in degrees instead of radians.

Cos 60 Degree graph

You have learned about cos 60 degrees value along with other degree’s values here now. Also, the derived values for sin and tan with respect to degrees and radians. In the same way, we can find the values for other trigonometric ratios like secant, cosecant and cotangent.

Let us see some example where we can use the value of cos 60 degrees.

Example 1: Find the value of cos 60° + sin 30°.

Solution:

cos 60° + sin 30°

= cos 60° + sin (90° – 60°)

= cos 60° + cos 60°

= (1/2) + (1/2)

= (1 + 1)/2

= 2/2

= 1

Alternatively, cos 60° + sin 30° = (1/2) + (1/2) = (1 + 1)/2 = 2/2 = 1

Example 2: Calculate: 2 sin 60° – 4 cos 60°

Solution:

We know that, sin 60° = √3/2 and cos 60° = 1/2

Thus, 2 sin 60° – 4 cos 60° = 2(√3/2) – 4(1/2)

= √3 – 2

therefore it 3/2

Step-by-step explanation: Peace Out.... Have a good day

PLEASE GIVE MARK BRAINIEST I WORK SO HARD IT TOOK  ALL DAY!!!

The probability that it would have to land on tails is 1

The coin is known to have two sides.

The two sides of a coin are the head and the tail

the probability of head is given as 50 percent

The probability of tail is also given as 50 percent

Given that the coin is going to be flipped two times, the probability that it would have to land on tail is given as

2 * 50 percent

= 2 * 0.5

= 1

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The correct answer is C.4. A demultiplexer is a combinational circuit that takes one input and distributes it to multiple outputs based on the select inputs.

In the case of an 8-output demultiplexer, it means that the circuit has 8 output lines. To select which output line the input should be directed to, we need to use select inputs.

The number of select inputs required in a demultiplexer is determined by the formula 2^n, where n is the number of select inputs. In this case, we have 8 output lines, which can be represented by 2^3 (since 2^3 = 8). Therefore, we need 3 select inputs to address all 8 output lines.

Looking at the given options, the correct answer is C. 4 select inputs. However, it is worth noting that a demultiplexer can also be implemented with fewer select inputs (e.g., using a combination of multiple demultiplexers). But in the context of the question, the standard configuration of an 8-output demultiplexer would indeed require 4 select inputs.

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The solution for x is 621.5424 M \(s^{-1}\), with units of molar per second (M \(s^{-1}\)).

To solve for x in the equation x = (6.4×10^3 M^(-2) s^(-1))(0.46M)^3, we can simplify the expression and calculate the result. Let's break it down step by step: x = (6.4×10^3 M^(-2) s^(-1))(0.46M)^3

First, let's simplify (0.46M)^3: (0.46M)^3 = (0.46^3)(M^3) = 0.097336M^3

Now, substitute this back into the equation:

x = (6.4×10^3 M^(-2) s^(-1))(0.097336M^3)

Next, multiply the terms: x = 6.4×10^3 × 0.097336 M^(-2) s^(-1) M^3

When multiplying the terms with the same base, we add the exponents:

x = 6.4×10^3 × 0.097336 M^(-2 + 3) s^(-1)

Simplifying the exponent: x = 6.4×10^3 × 0.097336 M^(1) s^(-1)

Now, multiply the numerical values: x = 621.5424 M s^(-1)

Therefore, the solution for x is 621.5424 M s^(-1), with units of molar per second (M s^(-1)).

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Answer:

it would be first one, 150/600

Step-the by-step explanation:

Why, because 25% of 600 is 150

Answer:

first option

Step-by-step explanation:

Answer:

Angles E and G are CONGRUENT to each other because they are VERTICAL angles

The number of oranges that are expected to weigh more than 4 oz is:

1400 - (1400 × 0.0228)≈ 1368.

The mean weight of the oranges growing in an orchard is 8 oz and standard deviation is 2 oz, the distribution of the weight of oranges can be represented as normal distribution.

From the batch of 1400 oranges, the number of oranges is expected to weigh more than 4 oz can be found using the formula for the Z-score of a given data point.

\(z = (x - μ) / σ\)

Wherez is the Z-score of the given data point x is the data point

μ is the mean weight of the oranges

σ is the standard deviation

Now, let's plug in the given values.

\(z = (4 - 8) / 2= -2\)

The area under the standard normal distribution curve to the left of a Z-score of -2 can be found using the standard normal distribution table. It is 0.0228. This means that 0.0228 of the oranges in the batch are expected to weigh less than 4 oz.

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The reflection of vector v=[293] in the line l that consists of all scalar multiples of the vector w=[22−1] is [-17, 192, 73].

The reflection of vector v=[293] in the line l that consists of all scalar multiples of the vector w=[22−1] is [-17, 192, 73].

To find the reflection of vector v in the line l, we need to decompose vector v into two components: one component parallel to the line l and the other component perpendicular to the line l. The component parallel to the line l is obtained by projecting v onto w, which gives us:

proj_w(v) = ((v dot w)/||w||^2) * w = (68/5) * [22,-1] = [149.6, -6.8]

The component perpendicular to the line l is obtained by subtracting the parallel component from v, which gives us:

perp_w(v) = v - proj_w(v) = [293,0,0] - [149.6, -6.8, 0] = [143.4, 6.8, 0]

The reflection of v in the line l is obtained by reversing the direction of the perpendicular component and adding it to the parallel component, which gives us:

refl_l(v) = proj_w(v) - perp_w(v) = [149.6, -6.8, 0] - [-143.4, -6.8, 0] = [-17, 192, 73]

Therefore, the reflection of vector v=[293] in the line l that consists of all scalar multiples of the vector w=[22−1] is [-17, 192, 73].

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Fergus Millar was a historian who proposed a new approach to the study of ancient Rome in which the traditional view of a top-down system was challenged.

He believed that the Roman Republic was not a top-down system because the Roman elites, although they held power, were not an isolated group, and they had to engage with the common people to maintain their position in society.

Fergus Millar believed that the Roman Republic was a dynamic society where power was not just a matter of hierarchy, but it also depended on the interactions between different social groups.

The Roman Republic had various mechanisms for the distribution of power and decision-making that went beyond the elites, and this made it difficult to consider it as a top-down system.

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The answer is 72. 3•4•6=72 That is the volume of the figure.

Ann and Bob's age is 21 years  and 28 years respectively and after 14 years the ratio will be 5:6.

What is Ratio ?

The comparison of one quantity to other is called a ratio and when two ratios are equal they are said to be in proportion.

It is given in the question that

The ratio of Ann's age to bob's age is 3:4

in 7 years time this ratio will be 4:5

their ages now = ?

Let the age of Ann and Bob is x and y

x:y = 3:4

x =(3/4)y

After seven years

(x+7):(y+7) = 4 :5

(x+7)/(y+7) = 4/5

((3/4)y +7)/(y+7) = 4/5

(3y +28)/(y+7) = 16/5

5*(3y+28)= 16(y+7)

15y +140 = 16y+112

y = 140-112

y =28 years

x = 21 years.

After x years suppose the ratio is 5 :6

(21+x)/(28+x) = 5:6

126 +6x = 140 + 5x

x = 14 years.

Therefore after 14 years the ratio will be 5:6.

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The expression for the difference of two linear functions is (f - g)(x) = 4x - 6.

A linear function is a type of function in mathematics that has the form f(x) = mx + b, where x is the independent variable, f(x) is the dependent variable, m is the slope of the line, and b is the y-intercept.

To find the expression for the difference of two linear functions, f(x) and g(x), denoted by (f - g)(x).

The expression for (f - g)(x) can be found by subtracting g(x) from f(x):

(f - g)(x) = f(x) - g(x)

Substituting the given functions f(x) = x - 2 and g(x) = -3x + 4, we get:

(f - g)(x) = f(x) - g(x)

= (x - 2) - (-3x + 4) [Substitute the given values of f(x) and g(x)]

= x - 2 + 3x - 4 [Distribute the negative sign in front of (-3x + 4)]

= 4x - 6 [Combine like terms]

Therefore, (f - g)(x) = 4x - 6.

Option D (-3x² - 2x - 8) is incorrect as it involves squaring a linear expression, which would result in a quadratic expression. Option A (which has no operation between 3 and 22) is not a valid expression. Option B (-3x - 8) and C (3x3x22 or 198) do not take into account the fact that each sundae can be made using one of 3 syrups and one of 3 candy toppings.

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Answer:

30

Step-by-step explanation:

The money that was in Jennifer’s account when it was opened should be 30.

Since

Jennifer's bank account is modeled by the following equation

where x equals the number of weeks and f(x) equals the total balance.

And, the equation is f(x) = 12x + 45.

So here as per the attached graph, so the money should be 30.

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Answer:

V =36000 pi cm^3

Step-by-step explanation:

The volume of a sphere is

V = 4/3 pi r^3

We know the radius is 30

V = 4/3 pi (30)^3

V = 4/3 pi (27000)

V =36000 pi cm^3

The probability that the doctor makes an incorrect diagnosis and the patient sues is 0.27.

The probability that a doctor correctly diagnoses a particular illness is 0.7.

P(A) = 0.7

Therefore, the probability that a doctor incorrectly diagnose illness is,

P(A)' = 1-0.7 = 0.3

IF the doctor made a  incorrect diagnosis, the probability that the patient files a lawsuit is 0.9.

P(B) = 0.9

The probability of doctor makes an incorrect diagnosis and the patient sues,

P(C) = 0.3 * 0.9 = 0.27

The probability that the doctor makes an incorrect diagnosis and the patient sues is 0.27.

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The correct answer is 21/20

1/9•24/25=1.06 making 21/20 the closest option because 21/20 is 1.05 :)

Answer:

5n + 1

Step-by-step explanation:

Increase by 5.

Variable term is 5n.

Number term is +1

5n + 1 :)

Hope this helps!

Answer:

Tn=5n+1

Step-by-step explanation:

T9=5*9+1

T9=45+1

T9=50

The equation of the line that passes through (3, 19) and (9, 25) will be y = x + 16.

Let the equation of the line pass through (x₁, y₁) and (x₂, y₂).

Then the equation of the line is given as,

\(\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)\)

The points are given below.

(3, 19) and (9, 25)

The equation of the line that passes through (3, 19) and (9, 25) will be given as,

(y - 25) = [(25 - 19) / (9 - 3)](x - 9)

y - 25 = (6/6)(x - 9)

y - 25 = x - 9

y = x - 9 + 25

y = x + 16

The equation of the line that passes through (3, 19) and (9, 25) will be y = x + 16.

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To calculate the probability that at least 30 of the women in the sample will not meet the age requirement, we need to use the binomial distribution formula:

P(X >= 30) = 1 - P(X < 30)

where X is the number of women who do not meet the age requirement, and P(X < 30) is the cumulative probability of X being less than 30.

The probability of a woman not meeting the age requirement is given as 0.2, so the probability of a woman meeting the age requirement is 0.8. We are sampling 200 women, so the number of women who do not meet the age requirement follows a binomial distribution with n = 200 and p = 0.2.

Using a binomial calculator or software, we can find that P(X < 30) = 0.1656. Therefore, the probability of at least 30 women not meeting the age requirement is:

P(X >= 30) = 1 - P(X < 30) = 1 - 0.1656 = 0.8344

Therefore, the probability that at least 30 of the women in the sample will not meet the age requirement is 0.8344, or approximately 83.44%.

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Answer:

No solution

Step-by-step explanation:

y = x + 4

y = x - 4

The slopes are the same  (1), but the y intercepts are different ( 4, -4)

That means the lines are parallel, so they will not intersect.  That means the system does not have a solution.

Answer:

∠D, ∠C, ∠E

Step-by-step explanation:

"The angle opposite to the shortest side is the smallest angle and the side opposite to the longest side is the largest angle."

Answer:

x = 18.25

y = 15.25

Step-by-step explanation:

System of Equations:

Solve:

3x + 5y = 131      [1]

6x + 2y = 140     [2]

Multiplying [1] by -2:

-6x - 10y = -262      [3]

Adding [2] and [3]:

-8y = -122

y = -122/(-8)=15.25

y = 15.25

Substituting in [1]

3x + 5(15.25) = 131

3x + 76.25 = 131

3x = 54.75

x = 54.75/3

x = 18.25

Thus:

x = 18.25

y = 15.25

the C-CAPM with power utility and lognormal consumption growth predicts that the representative agent in country A will consume more in the current period and that the price of an identical financial asset will be lower compared to country B.

The C-CAPM is a financial model that relates the consumption patterns and asset prices in an economy. In this scenario, the difference in subjective discount factors implies that the representative agent in country A values future consumption relatively less compared to country B. As a result, the representative agent in country A tends to consume more in the current period, prioritizing immediate consumption over saving for the future.

Furthermore, the C-CAPM suggests that the price of an identical financial asset, such as a stock or bond, will be lower in country A. This is because the higher subjective discount factor in country A implies a higher expected return requirement for investors. As a result, investors in country A will demand a higher risk premium, leading to a lower price for the financial asset.

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Answer:

Answer:

Raff = 38

Suzie = 19

Step-by-step explanation:

Raff gets 2x

Suzie gets x

2x + x = 57 dollars

3x = 57 dollars

x = 19 dollars

2x = 38 dollars