What are the two solutions to f(x)=g(x) when f(x)=x^2+3 and g(x)=-x+9

Answer:

cot(-x) cos(-x) + sin(-x)= f(x) = (1 point) Simplify and write the trigonometric expression in terms of sine and cosine: 1 tan u +cot u = f(u) f(u) (1 point) Simplify and write the trigonometric expression in terms of sine and cosine: |(1-cos y)(1 +cos y) (f(y) f(y)= (1 point) tings sin f If sin 1+cos t tan r then A+tan t A = 1 then (1 point) If sec t - tan t = f()+tan f)= (2 points) If tan2 t - sin2 t = sind r then cos t the positive power a = the positive power b = sec r-1 A-COS 1 (1 point) If then A+cos sec 1+1 gs A = A+sin x = B-sin x then (2 points) If (tanx + sec x)2 A = В Vx- 1 (1 point) If 0 u< r/2 and x = f(u), where sec u, then f(u) = (1 point) Simplify the expression as much as possible. cos (t)-1 help (formulas) sin(t) IS (1 point) Simplify and write the trigonometric expression in terms of sine and cosine: 2+tan2 x sec x -1 (f (x) f(x)= (1 point) Simplify completely into an expression with sin(A) or cos(A) only: sin(A) tan(A) + cos(A) = (1 point) Simplify the expression as much as possible. 1 1 + 1 + sin(t) help (formulas) 1-sin(t)

sin x + cot x cos x =

f(x)

f(x)=

(1 point) Simplify and write the trigonometric expression in terms of sine and cosine:

2 + tan2 x

- 1 (f(x)

sec x

f(x) =

1a. 10. 24

1b. 125/243

2a. 0. 0048

2b. 32/3125

3a. 0. 64

3b. 0. 0031

4a. 2/5

4b. 48. 735

5a. 2. 36

5b. 1. 39

1a. Given the values

(2/5)^2/(1/2)^6

Multiply both the numerator and denominator by the powers

⇒ \(\frac{\frac{4}{25} }{\frac{1}{64} }\)

To find the common ration, multiply thus;

⇒ \(\frac{4}{25}\) × \(\frac{64}{1}\)

⇒ \(\frac{256}{25}\)

= 10. 24

1b. (5/7)^2 × (5/7)^1

= \(\frac{25}{49}\) × \(\frac{5}{7}\)

= \(\frac{125}{343}\)

= 125/243

2a. 0. 6^1  × 0. 2^3

= 0. 6 × 0. 008

= 0. 0048

2b. (2/5)^3 × (2/5)^2

= \(\frac{8}{125}\) × \(\frac{4}{25}\)

= \(\frac{32}{3125}\)

= 32/ 3125

3a. 1^99 - 0. 6^2

= 1 - 0. 36

= 0. 64

3b. (0. 2 ) ^1 × (1/8)^2

= 0. 2 × 1/64

= 0. 2 × 0. 016

= 0. 0031

4a. (1/2)^2/ (5/8)^1

= \(\frac{\frac{1}{4} }{\frac{5}{8} }\)

Take the inverse of the denominator

= \(\frac{1}{4}\) × \(\frac{8}{5}\)

= 2/5

4b. 7^2 - 0. 5^3

= 49 - 0. 125

= 48. 875

5a. 3^1 - 0. 8 ^2

= 3 - 0. 64

= 2. 36

5b. 0. 7^2 + 0. 9^1

= 0. 49 + 0. 9

= 1. 39

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Answer:

VOLUME = 240 in ³

SURFACE AREA = 124 in ²

Step-by-step explanation:

The volume of a rectangular prism is:

l x w x h,

where in this case:

l = 8 in

w = 6 in

h = 5 in

So, the total volume would be:

8 in x 6 in x 5 in = 240 in ³ ( cubed )

Now the formula for the surface area of a rectangular prism is:

2 ( l x w + l x h + w x h )

So if we plug in the values in the formula, we get:

2 ( 8 in x 6 in + 8 in x 5 in + 6 in x 3 in ) = 124 in ² ( squared )

Answer:

hello some parts of your question is missing attached below is the missing part

answer: the sum Given it can seen that according to the closure property of Rational numbers  the addition of two rational numbers will sum up to a rational number provided that the rational numbers ≠ 0 and a set of rational number is closed under the closures property rule i.e x + y = y + x

Step-by-step explanation:

using the closure property and based on the sum given :

From the sum Given it can seen that according to the closure property of Rational numbers  the addition of two rational numbers will sum up to a rational number provided that the rational numbers ≠ 0 and a set of rational number is closed under the closures property rule i.e x + y = y + x

I've seen a few comments about the answer so the answer the person above me answered is:

"The sum given can seen according to the closure property of rational numbers. The addition of two rational numbers will sum up to a rational number, provided that the rational numbers are ≠ 0 and a set of rational number is closed under the closures property rule, in other words: x + y = y + x."

After solving the given expression the values for x will be equal to x = 1 and x = 13.

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

As per the given information in the question,

The given equation is,

(x - 7)² = 36

x - 7 = √36

x = ±6

Then the values for x will be,

x1 = 6 + 7 = 17

x2 = -6 + 7 = -1

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Step-by-step explanation:

u decreased by 17 equals

= u-17

Answer:

u-17

Step-by-step explanation:

Answer: the slope of line passing through the point is \(\frac{-3}{4}\)

Answer:

15.5

Step-by-step explanation:

add up all the ranges and devided by 100% and had founded out the reminder was 15.5

We'll collect and analyze the data and then build the regression model and evaluate it in order to predict the selling price of a house that is 2,700 square feet using single variable regression model.

The single variable regression model assumes a linear relationship between the independent variable (house size) and the dependent variable (selling price). If the relationship is non-linear, a different regression model may be more appropriate.

Question: Use the single variable regression model with house size as the independent variable to predict the selling price of a house that is 2,700 square feet.

To predict the selling price of a house that is 2,700 square feet using the single variable regression model, we need to follow these steps:

1. Collect data: Obtain a dataset that includes information on house sizes and their corresponding selling prices. This dataset will be used to build the regression model.

2. Analyze the data: Examine the dataset to understand the relationship between house size and selling price. Plot a scatter plot to visualize the data points and determine if there is a linear relationship between the two variables.

3. Build the regression model: Fit a regression line to the data points using a statistical method like least squares regression. This line represents the relationship between house size (independent variable) and selling price (dependent variable).

4. Evaluate the model: Assess the quality of the regression model by calculating the coefficient of determination (R-squared value). This value measures how well the regression line fits the data. A higher R-squared value indicates a better fit.

5. Predict the selling price: Now that we have a regression model, we can use it to predict the selling price of a house with a given size. In this case, we want to predict the selling price of a house that is 2,700 square feet.

To predict the selling price of a house that is 2,700 square feet, we substitute the house size value (2,700) into the regression equation. The equation will give us the predicted selling price for a house of that size.

It's important to note that the accuracy of the prediction depends on the quality of the regression model. A higher R-squared value suggests a better prediction accuracy.

Remember, the single variable regression model assumes a linear relationship between the independent variable (house size) and the dependent variable (selling price). If the relationship is non-linear, a different regression model may be more appropriate.

Keep in mind that additional factors such as location, condition, and amenities can also influence the selling price of a house. Therefore, it's advisable to consider these factors in conjunction with the single variable regression model to make more accurate predictions.

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Answer:

A

Step-by-step explanation:

Carlos' score was 2 standard deviations from the mean, so his z-score was 2.0. You can either use the empirical 68-95-98.5 rule, or you can plug it into your calculator as normalcdf(-999, 2) = .977

So 97.7% of people had a score lower than Carlos!

.977 * 1.5 million = 1,465,500 people

The interval on which f(x) is decreasing is (0, infinity).

To determine on what interval f(x) is decreasing, we need to look at the graph of the function or calculate the derivative of the function.

First, let's look at the graph of the function. If the graph of the function is going downward from left to right, then the function is decreasing on that interval.

Alternatively, we can calculate the derivative of the function f'(x) and determine where it is negative. If f'(x) < 0, then the function is decreasing on that interval.

So, the interval on which f(x) is decreasing is where the graph of the function is going downward from left to right or where f'(x) < 0.

For example, if f(x) = -x^2 + 4, the derivative of the function is f'(x) = -2x. To find where f'(x) < 0, we can set -2x < 0 and solve for x. This gives us x > 0. So, the function is decreasing on the interval (0, infinity).

Therefore, the interval on which f(x) is decreasing is (0, infinity).

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Answer: 1 and 3

Step-by-step explanation: For the fractions 3/4 and 7/12, let's list the factors of each numerator and denominator:

Factors of 3: 1, 3

Factors of 4: 1, 2, 4

Factors of 7: 1, 7

Factors of 12: 1, 2, 3, 4, 6, 12

From the lists above, we can see that the common factors of 3/4 and 7/12 are 1 and 3.

The distribution function of X, denoted as F(x), for a lognormal distribution can be expressed as:

F(x) = P{X ≤ x} = Φ[(ln(x) - μ) / σ]

In a lognormal distribution, the natural logarithm of the random variable X follows a normal distribution with mean μ and variance σ². By taking the logarithm of both sides of the inequality X ≤ x, we obtain ln(X) ≤ ln(x). Since ln(X) follows a normal distribution, we can standardize it using the formula (ln(X) - μ) / σ to obtain a standard normal variable.

To determine the distribution function F(x), we need to calculate the cumulative distribution function (CDF) of the standard normal variable at the standardized value (ln(x) - μ) / σ. This CDF is denoted as Φ(z), where z represents the standardized value. Therefore, we have F(x) = P{X ≤ x} = Φ[(ln(x) - μ) / σ].

In simpler terms, the distribution function of a lognormal random variable X tells us the probability that X takes on a value less than or equal to a given value x. It is calculated by transforming the inequality X ≤ x into the corresponding inequality for the standard normal distribution, and then using the cumulative distribution function (CDF) of the standard normal distribution to obtain the probability.

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There is a slight possibility of 0.000240 that  5 card hand contains a four-of-a-kind, where the four-of-a-kind rank is a face card.

Total possible outcomes=⁵²C₅

                                        = 2598960

P( 4-of-a-kind) = ¹³C₁ * ⁴C₄

                        = 13

P( choosing one card from the rest of the deck) = ⁴⁸C₁

                                                                                 =48

P( 4-of-a-kind card with one different card)

= desired outcome / total number of outcomes.

= (13* 48) / 2598960

= 624/2598960

= 0.000240

Therefore, we get that the probability is 0.0240% .

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Answer:

y = x(0.083913)

Step-by-step explanation:

easy

hey timmy

Answer:

(4,-5)

Step-by-step explanation:

Hi there!

The problem asks us to solve by elimination, where we will add the two equations together to clear one variable, solve for the other variable, and then substitute the value of the other variable to find the value of the first variable

here's the system:

4x-9y=61

10x+3y=25

we'll clear y to start

multiply the second equation by 3

3(10x+3y)=3(25)

30x+9y=75

  4x-9y=61

now add the equations together (the 9y's clear because one is positive and another is negative)

34x=136

divide by 34

x=4

the value of x is 4

now to find y:

substitute the value of x into either one of the equations to solve for y

if we were to do the first equation for example:

substitute x as 4 into the equation

4(4)-9y=61

multiply

16-9y=61

subtract

-9y=45

divide

y=-5

so the answer is x=4, y=-5. If you need it as a point, it's (4,-5)

Hope this helps! :D

The risk of explosion in the process industry is 6.6594e-06 per year.

To calculate the risk of explosion, we need to consider the probability of a gas release, the probability of ignition, and the probability of fatal injury.

Step 1: Calculate the probability of an explosion.

The probability of a gas release per year is given as\(1.23 * 10^-^5\).

The probability of ignition is 0.54.

The probability of fatal injury is 0.32.

To calculate the risk of explosion, we multiply these probabilities:

Risk of explosion = Probability of gas release * Probability of ignition * Probability of fatal injury

Risk of explosion = 1.23 * \(10^-^5\) * 0.54 * 0.32

Risk of explosion = 6.6594 *\(10^-^6\) per year

Therefore, the risk of explosion in the process industry is approximately 6.6594 * 10^-6 per year.

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The correct answer is D. setne 23 47. Based on the provided information, I understand that you have a comparison function in C code and its corresponding assembly code. You are asked to fill in the blanks by selecting the appropriate instructions based on the given values of a and b and the status flags SF, OF, ZF, and CF. Let's go through the options:

A. setg 47 23: This option is incorrect because setg is used to set a byte to 1 if the Greater flag (ZF=0 and SF=OF) is set, but the given values of a and b are 47 and 23, respectively, so it does not satisfy the condition for setg to be set.

B. setl 23 47: This option is incorrect because setl is used to set a byte to 1 if the Less flag (SF≠OF) is set, but the given values of a and b are 23 and 47, respectively, so it does not satisfy the condition for setl to be set.

C. sete 23 23: This option is incorrect because sete is used to set a byte to 1 if the Zero flag (ZF=1) is set, but the given values of a and b are 23 and 23, respectively, so it does not satisfy the condition for sete to be set.

D. setne 23 47: This option is correct. setne is used to set a byte to 1 if the Zero flag (ZF=0) is not set, which means the values of a and b are not equal. In this case, the given values of a and b are 23 and 47, respectively, so they are not equal, and setne should be used.

Therefore, the correct answer is D. setne 23 47

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We can use the normal distribution to determine the value that is larger than roughly 55% of the population. So the value that is closest to the value larger than roughly 55% of the population is 89.24.

We can use a standard normal distribution table or a calculator to find that the z-score is approximately -0.1257.

z = (x - μ) / σ

where x is the raw score, μ is the mean, and σ is the standard deviation.

x = z * σ + μ

x = (-0.1257) * 6 + 90

x ≈ 89.24

So the value that is closest to the value larger than roughly 55% of the population is 89.24.

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Answer:

If 2.5 gallons of paint are needed for the entire fence, then for 1/5 of the fence we need:

2.5 gallons / 5 = 0.5 gallons

To find how much paint is needed for 3/5 of the fence, we can multiply 0.5 gallons by 3:

0.5 gallons * 3 = 1.5 gallons

Therefore, 1.5 gallons of paint are needed for 3/5 of the fence.

Answer:

15 gallons

Step-by-step explanation:

1/5 of the fence would be 5 gallons, because 25/5 is 5, so to find how much paint for 3/5, we have to multiply 3 and 5 which gives us 15. We need 15 gallons of paint to paint 3/5 of the fence

Hope it helped!

Based on Webster's Plan and a standard quota of 5.58, the West should have 4,484,304 seats.

Webster's Plan refers to an apportionment plan, created by J. W. Webster in 1832, used for distributing seats among the states of the United States in the United States House of Representatives. In Webster's plan, the standard quota is a number determined by dividing the whole population of the United States by the number of seats available in the House of Representatives.  

The number of seats for each state is calculated by dividing the state's population by the standard quota.To determine the number of seats for the West based on a standard quota of 5.58, we need to know the population of the West. Once we have the population of the West, we can calculate the number of seats allotted to the region as follows:Let the population of the West be represented by Pw.

Then the number of seats allotted to the West would be:Pw/5.58. For example, if the population of the West is 25 million, the number of seats allotted to the region would be:25,000,000/5.58=4,484,304.93We can't have fractional seats, so we round down to the nearest whole number, which gives us 4,484,304 seats. Therefore, based on Webster's Plan and a standard quota of 5.58, the West should have 4,484,304 seats.

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Answer: 68%

Step-by-step explanation:

170/250=

17/25=

0.68=

0.68 * 1=

0.68 * 100%=68%

Answer:

a) 12/18

b) 6

Step-by-step explanation:

If adding 6 white balls doubles the probability then the original amount of balls is 6 and with the new amount of 18, the likelihood of picking a white ball becomes 12/18.

After considering the given data we conclude that there truth table is possible and is placed in the given figures concerning every sub question.

A truth table is a overview that projects  the truth-value of one or more compound propositions for each possible combination of truth-values of the propositions starting up the compound ones.
Every row of the table represents a possible combination of truth-values for the component propositions of the compound, and the count of rows is described by the range of possible combinations.
For instance, if the compound has just two component propositions, it comprises  four possibilities and then four rows to the table. The truth-value of the compound is projected on each row comprising the truth functional operator.
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Answer:

Use colon method

Step-by-step explanation:

So it is more easy

The total interest you will earn in 30 years is approximately $241.61.

To calculate the total interest earned in 30 years, we need to use the formula for compound interest:
A = P(1 + r/n)^(nt) - P
Where:
A = the future value of the investment
P = the principal amount (initial deposit)
r = the annual interest rate (in decimal form)
n = the number of times the interest is compounded per year
t = the number of years
In this case, the principal amount is $200, the annual interest rate is 3% (or 0.03 as a decimal), the interest is compounded monthly (so n = 12), and the time period is 30 years (so t = 30).
Plugging in these values into the formula:
A = 200(1 + 0.03/12)^(12*30) - 200
Now we can simplify and calculate:
A = 200(1.0025)^(360) - 200
A = 200(2.208040033) - 200
A ≈ 441.6080066 - 200
A ≈ 241.6080066

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a. When x = 0, the possible values for y are y = 1 and y = -5 because they satisfy the equation of the circle.
b. When y = -2, the possible values for x are x = -1 and x = 9 because they satisfy the equation of the circle.
c. Plotting the points (0, 1), (0, -5), (-1, -2), and (9, -2) on a coordinate plane confirms that they lie on the given circle equation

a. When x = 0, we substitute it into the equation: (0 - 4)^2 + (y + 2)^2 = 25. Simplifying, we get: 16 + (y + 2)^2 = 25. Subtracting 16 from both sides, we have: (y + 2)^2 = 9. Taking the square root of both sides, we get: y + 2 = ±3. Solving for y, we have two possible values: y = 1 and y = -5.

b. When y = -2, we substitute it into the equation: (x - 4)^2 + (-2 + 2)^2 = 25. Simplifying, we get: (x - 4)^2 + 0 = 25. Taking the square root of both sides, we have: x - 4 = ±5. Solving for x, we have two possible values: x = -1 and x = 9.

c. Plotting the two points from part a (0, 1) and (0, -5) and the two points from part b (-1, -2) and (9, -2) on a coordinate plane, we can confirm that these points lie on the circle. You can use a graphing tool like www.geogebra.org/classic to plot the four points.

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The range of the function f(x) = 4x + 9 is R = {-7, 1, 9, 17}. Option D is the correct option.

What is a function?

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

Given function is f(x) = 4x + 9.

The domain of the function is  D = {-4, -2, 0, 2}.

To find the rage of the function putting x = -4, -2, 0, 2 in the given function:

When x = -4

f(-4) = 4(-4) + 9

f(-4) = -16 + 9

f(-4) = -7

When x = 0

f(0) = 4(-0) + 9

f(0) = 0+ 9

f(0) =9

When x = 2

f(2) = 4(2) + 9

f(2) = 8 + 9

f(2) = 17

The set of the value of f(x) at  x = -4, -2, 0, 2 is the range of the function.

The range of the function is R = {f(-4), f(-2), f(0), f(2)} = {-7, 1, 9, 17}

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The standard error of the proportion decreases as the sample size increases. This means that larger sample sizes provide more accurate estimates of the population proportion.

To calculate the standard error of the proportion, we can use the formula:
SE = √(p(1-p)/n)
Where:
SE = standard error
p = proportion of the population
n = sample size
For each sample size, we can plug in the values and calculate the standard error:
A. For a sample size of 30:
SE = √(0.39(1-0.39)/30) = 0.088
B. For a sample size of 60:
SE = √(0.39(1-0.39)/60) = 0.062
C. For a sample size of 90:
SE = √(0.39(1-0.39)/90) = 0.051

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