Help!! I will mark brainiest!!

Help!! I Will Mark Brainiest!!

Answers

Answer 1

Answer:

b = 148.5052112

Step-by-step explanation:

To find the value of b we will use the trigonometry functions

∵ The triangle is a right triangle

∵ The measure of one of its acute angles = 68°

∵ The length of the side opposite to the angle of measure 68° is b

∴ The opposite side = b

∵ The length of the side adjacent to the angle of measure 68° is 60

∴ The adjacent side = 60

∵ The function tan(x) = \(\frac{opposite}{adjacent}\)

∴ tan(68°) = \(\frac{b}{60}\)

→ Multiply both sides by 60 to cancel the denominator of the right side

∴ 60 × tan(68°) = b

∴ 148.5052112 = b

b = 148.5052112

Answer 2

Answer:

b = 148.5052112

Step-by-step explanation:


Related Questions

Jacob checked two bags of potato chips for broken chips. The first bag
had 6 broken chips, which was 10% of the chips in bag 1. The second bag
had 12 broken chips, which was 25% of the chips in bag 2. How many
total chips were in both bags?

Answers

Answer:

3

Step-by-step explanation:

Total 108 chips were in the both bags.

What is a percentage?

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

10% of chips in the first bag is 6.

To find the total chips in the first bag:

6 = 10 x total number of chips in the first bag / 100

total number of chips in the first bag = 600/10

total number of chips in the first bag  = 60

25% of chips in the second bag is 12.

To find the total chips in the second bag:

12 = 25x total number of chips in the second bag / 100

total number of chips in the second bag = 1200/25

total number of chips in the second bag  = 48

Now, total chips in the both bags = 60 + 48 = 108

Therefore, total 108 chips were in the both bags.

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What is $1.52 in cents?​

Answers

Answer:

152 cents

hope this helps

have a good day :)

Step-by-step explanation:

100 cents make a dollar. $1.52 would equal 152 cents.

y + 2x = −1
3y − x = 4

Answers

Answer:

Step-by-step explanation:

Let's solve for x.

y+2x=−1

Step 1: Add -y to both sides.

2x+y+−y=−1+−y

2x=−y−1

Step 2: Divide both sides by 2.

2x

2

=

−y−1

2

x=

−1

2

y+

−1

2

Answer:

x=

−1

2

y+

−1

2

Answer:

Answers below

Step-by-step explanation:

Q1.  2x=−1−y

=

​2

​−1−y

​​

Q2.     −x=4−3y

x=−4+3y

x=3y−4

In a simple regression model: y=b0​+b1​∗x1​+ei​ with a dummy variable ( 0 or 1 ) predictor x, the coefficient b1 may be interpreted as: a. the differential effect on the outcome of having the dummy variable equal to 1 , rather than 0 .b. the improvement in R-squared that we get from including x in the model. c. the predicted value of the outcome variable when the dummy variable is equal to 1 . d. the predicted value of the outcome variable when the dummy variable is equal to 0 .

Answers

In a simple regression model with a dummy variable predictor x, the coefficient b1 represents a) the differential effect on the outcome of having the dummy variable equal to 1, rather than 0.



Option b, the improvement in R-squared that we get from including x in the model, is not an accurate interpretation of b1. R-squared represents the proportion of variance in the outcome variable that is explained by the model, but it does not directly relate to the coefficient of a specific predictor.

Options c and d refer to the predicted values of the outcome variable when the dummy variable is either 1 or 0, but these values are not equivalent to b1. The predicted value of the outcome variable depends on the intercept term b0 and any other predictor variables in the model, as well as the coefficient b1.

In a simple regression model with a dummy variable predictor x, the coefficient b1 represents Option a, the differential effect on the outcome of having the dummy variable equal to 1, rather than 0. This means that b1 quantifies the change in the outcome variable when the dummy variable changes from 0 to 1, holding all other variables constant. This interpretation assumes that the dummy variable is coded in a meaningful way, such that 0 and 1 represent two distinct and relevant categories.

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Please answer this question

Please answer this question

Answers

Answer:

12 12 18 1816 2888

Step-by-step explanation:

Just add on top and subtract on bottom

For questions 1 through 4, conjecture a limit value for the given sequence. Write your Definition of limit and show your Scratch Work before writing your proof. 1. Consider the sequence {\frac{5n}{4n} (+6}. \lim_{n\to x[infinity]} {\frac{5n}{4n} (+6} = Definition of limit: (Substitute the given sequnce and conjectured value in your definition): Scratch Work: Proof:

Answers

Using the definition of limit, it is shown that for any positive ε, there exists a positive integer N such that the absolute difference between the sequence and 7 is less than ε for all n greater than or equal to N. Therefore, the conjecture is proven.

Conjecture: The limit value of the sequence {\frac{5n}{4n} + 6} as n approaches infinity is 7.

{\frac{5n}{4n} + 6} = {\frac{5}{4}} + 6/n

As n approaches infinity, 6/n approaches 0, so the sequence approaches {\frac{5}{4}} + 0 + 6 = 7.

Proof:

Let ε be a positive number. We want to find a positive integer N such that for all n ≥ N, |{\frac{5n}{4n} + 6} - 7| < ε.

|{\frac{5n}{4n} + 6} - 7| = |{\frac{5n}{4n} - {\frac{4n}{4n}}}|

= |{\frac{n}{4n}}|

= {\frac{1}{4}}

So we want to find N such that {\frac{1}{4}} < ε.

Choose N to be the smallest integer greater than {\frac{1}{4ε}}. Then for all n ≥ N, we have:

|{\frac{5n}{4n} + 6} - 7| = |{\frac{1}{4}}| < ε

Therefore, the limit of the sequence {\frac{5n}{4n} + 6} as n approaches infinity is 7, which proves the conjecture.

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Which of the following sets of numbers could represent the three sides of a right triangle? a. {13, 48, 50} b. {49, 55, 73} c. {16, 63, 65} d. {20, 72, 75}

Answers

Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. Correct answer is option (c).

To determine which set of numbers could represent the three sides of a right triangle, we can use the Pythagorean theorem:

a. {13, 48, 50}:

Using the Pythagorean theorem: 13² + 48² = 169 + 2304 = 2473 ≠ 50²

Therefore, this set of numbers does not represent the sides of a right triangle.

b. {49, 55, 73}:

Using the Pythagorean theorem: 49² + 55² = 2401 + 3025 = 5426 ≠ 73²

Therefore, this set of numbers does not represent the sides of a right triangle.

c. {16, 63, 65}:

Using the Pythagorean theorem: 16² + 63² = 256 + 3969 = 4225 = 65^²

Therefore, this set of numbers represents the sides of a right triangle.

d. {20, 72, 75}:

Using the Pythagorean theorem: 20² + 72² = 400 + 5184 = 5584 ≠ 75²

Therefore, this set of numbers does not represent the sides of a right triangle.

Based on the Pythagorean theorem, the set of numbers {16, 63, 65} represents the sides of a right triangle.

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the length of the altitude from the right angle to the hypotenuse of a right triangle is the _______ mean of the two segments that makes the hypotenuse.

Answers

Answer:

The length of the altitude from the right angle to the hypotenuse of a right triangle is the geometric mean of the two segments that make the hypotenuse.

Not enough information to make a conclusion
Ос
c || d, Converse of the Corresponding Angles Postulate
O c || d, Converse of the Same-Side Interior Angles Theorem
a || b, Converse of the Alternate Interior Angles Theorem

Not enough information to make a conclusionc || d, Converse of the Corresponding Angles PostulateO c

Answers

Answer:

A. c ║d, Converse of the Corresponding Angles Postulate

Step-by-step explanation:

Line B (including numbers 1-8) can be ignored in the diagram.

When 2 angles are located on one side of the transversal (line a) and are also located below on the same side of one of the parallel lines (below lines c and d) they are called corresponding angles.

Hope that makes sense.

BRAINLIEST IF YOU ANSWER THANKS!!!

BRAINLIEST IF YOU ANSWER THANKS!!!
BRAINLIEST IF YOU ANSWER THANKS!!!

Answers

ANSWER:

1. translation: 3 units right and 1 unit down

2. 130°

Which of the following is true with respect to use of the linear regression model to accommodate non-linear relationships? Select all correct answers.
-The linear regression model may be extended to accommodate some forms of non-linear relationships between the response and predictor(s).
-Some forms of non-linear relationships may be accommodated in a linear model if we include transformed versions of the predictor(s).
-Polynomial regression is one method for incorporating non-linear associations in a linear model.

Answers

Linear regression is a method of fitting a straight line between a dependent variable and an independent variable.

However, this method can be extended to accommodate some forms of non-linear relationships between the response and predictor(s). Some forms of non-linear relationships can be accommodated in a linear model if we include transformed versions of the predictor(s). Moreover, polynomial regression is one method for incorporating non-linear associations in a linear model. Thus, all of the given options are correct. So, the correct option is (A) The linear regression model may be extended to accommodate some forms of non-linear relationships between the response and predictor(s). (B) Some forms of non-linear relationships may be accommodated in a linear model if we include transformed versions of the predictor(s). (C) Polynomial regression is one method for incorporating non-linear associations in a linear model.

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the expected cell frequency is based on the researcher's opinion.
True or false

Answers

False. The expected cell frequency in statistical analysis, specifically in the context of contingency tables and chi-square tests, is not based on the researcher's opinion. Instead, it is determined through mathematical calculations and statistical assumptions.

In contingency tables, the expected cell frequency refers to the expected number of observations that would fall into a particular cell if the null hypothesis of independence is true (i.e., if there is no relationship between the variables being studied). The expected cell frequency is calculated based on the marginal totals (row totals and column totals) and the overall sample size.

The expected cell frequency is computed using statistical formulas and is not influenced by the researcher's opinion or subjective judgment. It is a crucial component in determining whether the observed frequencies in the cells significantly deviate from what would be expected under the null hypothesis.

By comparing the observed cell frequencies with the expected cell frequencies, statistical tests like the chi-square test can assess the association or independence between categorical variables in a data set.

Thus, the statement "the expected cell frequency is based on the researcher's opinion" is false. The expected cell frequency is derived through statistical calculations and is not subject to the researcher's subjective input.

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For what number of brochures are the costs the same for both companies? What method did you use to get your answer?

Answers

The costs will be the same for both companies if they produce and distribute 1250 brochures.

To find the number of brochures for which the costs are the same for both companies, we need to set the total cost equations for the two companies equal to each other:

$100 + 0.06x = $75 + 0.08x

Subtracting $75 and 0.06x from both sides, we get:

$25 = 0.02x

Dividing both sides by 0.02, we get:

x = 1250

So, the costs will be the same for both companies if they produce and distribute 1250 brochures.

The method used to get the answer is setting the total cost equations of the two companies equal to each other and solving for the number of brochures.

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Partial Derivative Applications, Vectors and Matrices
If z = F(u, v, w) where u = r 2 , v = −2s 2 , and w = lnr + lns,
find ∂z/∂r and ∂z/∂s.

Answers

The values of ∂z/∂r and ∂z/∂s. These partial derivatives will depend on the specific function F(u, v, w) provided.

To find ∂z/∂r and ∂z/∂s, we need to differentiate z = F(u, v, w) with respect to r and s.
Given that u = r^2, v = -2s^2, and w = ln(r) + ln(s), we can substitute these values into z = F(u, v, w).
So, z = F(r^2, -2s^2, ln(r) + ln(s)).
To find ∂z/∂r, we differentiate z with respect to r while treating s as a constant. This gives us:
∂z/∂r = ∂F/∂u * ∂u/∂r + ∂F/∂w * ∂w/∂r.
Similarly, to find ∂z/∂s, we differentiate z with respect to s while treating r as a constant. This gives us:
∂z/∂s = ∂F/∂v * ∂v/∂s + ∂F/∂w * ∂w/∂s.
Since we don't have the specific function F(u, v, w) mentioned in the question, we cannot determine the values of ∂z/∂r and ∂z/∂s. These partial derivatives will depend on the specific function F(u, v, w) provided.

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12. A hot air balloon is flying at an altitude of 1,000 ft. The pilot wants to increase the altitude of
the balloon at 5° angle over the next 500 ft. What will be the balloon's change in altitude?
(sin 5° -0.0872; cos 5º = 0.9962; tan 5° = 0.0875)
A. 25.8 ft
B 43.7 ft
C. 231.4 ft
D. 498 ft

Answers

Balloon's altitude = 43.7ft as

change in altitude/500 = tan 5°  

change in altitude = .0875*500

                              =43.7ft

help pls djkwkdlsslhsjskdjsld

help pls djkwkdlsslhsjskdjsld

Answers

1.-155
2. The counterclockwise is going to be 50 from counting down the clock

two containers are used to hold liquid. these containers have exactly the same shape. the first container has a height of 20 cm, and it can hold 320 m3 of liquid. if the second container has a height of , how much liquid can it hold?

Answers

The second container can hold approximately 1715 m³ of liquid.

Two containers have exactly the same shape, we can use their height ratio to determine the liquid capacity ratio.

Let's denote the height of the first container as H1 = 20 m and its liquid capacity as C1 = 320 m³.

We want to find the liquid capacity of the second container, C2, given its height H2 = 35 m.

The ratio of the heights is H2 / H1 = 35 m / 20 m = 7/4.

The ratio of the liquid capacities is equal to the ratio of the volumes, since the containers have the same shape. Therefore, we have:

C2 / C1 = (H2 / H1)³

Substituting the given values:

C2 / 320 m³ = (7/4)³

Simplifying the exponent:

C2 / 320 m³ = 343 / 64

To find C2, we can cross-multiply:

C2 = (343 / 64) × 320 m³

Calculating the result:

C2 ≈ 1715 m³

Therefore, the second container can hold approximately 1715 m³ of liquid.

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The question is incomplete the complete question is :

two containers are used to hold liquid. these containers have exactly the same shape. the first container has a height of 20 m, and it can hold 320 m³ of liquid. if the second container has a height of 35 m, how much liquid can it hold?

What is the equation of the graphed line written in standard form?
2x + 3y = -6
2x + 3y = 6
y=-2/3x-2
y= 2/3x-2

Answers

Answer:

What is the equation of the graphed line written in standard form?" has four options: 2x + 3y = -6, 2x + 3y = 6, y=-2/3x-2, and y= 2/3x-2. The standard form of a linear equation is Ax + By = C, where A, B, and C are constants. In this case, the first two options, 2x + 3y = -6 and 2x + 3y = 6 are already in standard form. The last two options, y=-2/3x-2 and y= 2/3x-2 are not in standard form. However, without additional information such as a graph or coordinates of points on the line, it is not possible to determine which of these options is the correct equation for the graphed line.

MARK AS BRAINLIEST!!!

I need help fast!!!!!!

I need help fast!!!!!!

Answers

Answer:

28 Pi

Step-by-step explanation:

circumference = 24(2)(π) = 48π

arc ABC = 360° - 150° = 210°

(210/360)(48π) = 28 Pi

A factory make 3.5 silk flowers every second.

Each flower has a 0.325 m wire stem.

A hotel orders 275 silk flowers.

What length of wire is needed?

Answers

Answer:

89.375m of wire

Step-by-step explanation:

0.325 times 275 is equal to 89.375 meters of wire in about 79 seconds.

Find the solution of the following initial value problem. y ′′ + y = δ(t − 2π) cost; y(0) = 0, y′ (0) = 1

Answers

The solution of the given initial value problem is y(t) = sin(t) + H(t-2π)cos(t-2π), where H(t) is the Heaviside step function.

To solve the initial value problem, we start by finding the complementary solution, which satisfies the homogeneous differential equation y'' + y = 0. The complementary solution is given by y_c(t) = A sin(t) + B cos(t), where A and B are constants to be determined.

Next, we find the particular solution for the given non-homogeneous term δ(t-2π)cos(t). Since the forcing term is a Dirac delta function at t = 2π, we can write the particular solution as y_p(t) = K(t-2π)cos(t-2π), where K is a constant to be determined.

Applying the initial conditions y(0) = 0 and y'(0) = 1, we can solve for the constants A, B, and K. Plugging in these initial conditions into the general solution, we find A = 0, B = 1, and K = 1.

Therefore, the solution of the initial value problem is y(t) = sin(t) + H(t-2π)cos(t-2π), where H(t) is the Heaviside step function.

The initial value problem with the given conditions is solved by finding the complementary solution and the particular solution. The solution is y(t) = sin(t) + H(t-2π)cos(t-2π), where H(t) is the Heaviside step function. This solution satisfies the given initial conditions y(0) = 0 and y'(0) = 1.

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determine which function has the greater rate of change in problems 1−3
1.
x y
-------
-1 0
0 1
1 2
2 3
(1 point)
The rates of change are equal.
The graph has a greater rate of change
The table has a greater rate of change.
none of the above
2. y = 2x + 7
The slopes are equal.
The graph has a greater slope.
The equation has a greater slope.
none of the abov
3. As x increases by 1, y increases by 3
The slopes are equal.
The graph has a greater slope.
The function rule has a greater slope.
none of the above

Answers

The table has a greater rate of change.

The rates of change are equal.

In the given problem, we have a table showing the relationship between x and y values. By comparing the change in y with the change in x, we can determine the rate of change. Looking at the table, we observe that for every increase of 1 in x, there is a corresponding increase of 1 in y. Therefore, the rate of change for this table is 1.

The slopes are equal.

The equation has a greater slope.

In problem 2, we are given a linear equation in the form y = mx + b, where m represents the slope. The given equation is y = 2x + 7, which means the slope is 2. To compare the rates of change, we compare the slopes. If the slopes are equal, the rates of change are equal. In this case, the slopes are equal to 2, so the rates of change are the same.

The function rule has a greater slope.

The slopes are equal.

In problem 3, we are told that as x increases by 1, y increases by 3. This information gives us the rate of change between x and y. The slope of a function represents the rate of change, and in this case, the slope is 3. Comparing the slopes, we find that they are equal, as both have a value of 3. Therefore, the rates of change are the same.

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What percent of the dogs and cats sold were dogs? a 70% b 22% c 55% d 45%

Answers

This gives no information, how many of each were sold

Answer:

im going to say c 55%

Step-by-step explanation: please let me know if its wrong so i can fix it thanks

LEAST TO GREATEST


PLS HELP

LEAST TO GREATESTPLS HELP

Answers

Answer:

A. {2.82, √8, √11, 3 1/2}

Step-by-step explanation:

A. {2.82, 2.83, 3.32, 3.5}

√8 = 2.82842712475 or 2.83 when rounded to the nearest hundredth.

√11 = 3.31662479036 or 3.32 when rounded to the nearest hundredth.

To find the square root you multiply a factor of a number by itself in order to get that number.

3 1/2, or 7/2 = 3.5

To convert a fraction into a decimal you divide the numerator by denominator.

B. {2.24, -2.45, 2.5, -3}
√5 = 2.2360679775 or 2.24 when rounded to the nearest hundredth.

-√6 = -2.44948974278 or -2.45 when rounded to the nearest hundredth.

2 1/2, or 5/2 = 2.5

C. {-4, -4.12, -4.24, -4.36}

-√16 = -4

-√17 = -4.12310562562 or -4.12 when rounded to the nearest hundredth.

-√18 = -4.24264068712 or -4.24 when rounded to the nearest hundredth.

-√19 = -4.35889894354 or -4.36 when rounded to the nearest hundredth.

D. {3.16, 4, 2, 1.5}
√10 = 3.16227766017 or 3.16 when rounded to the nearest hundredth

√4 = 2

if x2 y2 z2 = 9, dx dt = 8, and dy dt = 9, find dz dt when (x, y, z) = (2, 2, 1).

Answers

Using implicit differentiation dz/dt = -34

What is differentiation?

Differentiation is the process of finding the derivative of a function.

Since x² + y² + z² = 9, dx/dt = 8, and dy/dt = 9, we need to find dz/dt when (x, y, z) = (2, 2, 1).

So, differentiating implicitly and also applying the chain rule, we have that

x² + y² + z² = 9

d(x² + y² + z²)/dt = d9/dt

dx²/dx × dx/dt  + dy²/dy × dy/dt + dz²/dz × dz/dt = d9/dt

2xdx/dt  + 2ydy/dt + 2zdz/dt = 0

xdx/dt  + ydy/dt + zdz/dt = 0

Making dz/dt subject of the formula, we have that

zdz/dt = -(xdx/dt  + ydy/dt)

dz/dt =  -(xdx/dt  + ydy/dt)/z

Given that

dx/dt = 8, dy/dt = 9, x = 2, y = 2 and z = 1

Substituting the values of the variables into the equation, we have that

dz/dt =  -(xdx/dt  + ydy/dt)/z

dz/dt =  -(2 × 8  + 2 × 9)/1

= -(16 + 18)/1

= - 34

So, dz/dt = -34

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The question is incomplete. Here is the complete question

If  x² + y² + z²  = 9, dx/dt = 5, and dy/dt = 4, find dz/dt when (x, y, z) = (2, 2, 1).

I. Convert the equation to polar form. (Use variables r and θ as needed.) x=3
J. Convert the equation to polar form. (Use variables r and θ as needed.) x^2 − y^2 = 9

Answers

The following parts can bee answered by the concept of polar form.

I. The polar form of the equation x=3 is r = 3/cos θ.

J. The polar form of the equation x² − y² = 9 is r = 3/√(cos(2θ)) or r = -3/√(cos(2θ)).

I. To convert the equation x=3 to polar form, we need to express x and y in terms of r and θ. Since x is a constant, we can write x = r cos θ. Substituting x=3, we get 3 = r cos θ. Solving for r, we have r = 3/cos θ.

Therefore, the polar form of the equation x=3 is r = 3/cos θ.

J. To convert the equation x² − y² = 9 to polar form, we can use the identity x = r cos θ and y = r sin θ. Substituting these expressions into the equation, we get r² cos² θ - r² sin² θ = 9. Simplifying, we get r² (cos² θ - sin² θ) = 9. Using the identity cos² θ - sin² θ = cos(2θ), we get r² cos(2θ) = 9. Solving for r, we have r = ±3/√(cos(2θ)).

Therefore, the polar form of the equation x² − y² = 9 is r = 3/√(cos(2θ)) or r = -3/√(cos(2θ)).

Therefore,

I. The polar form of the equation x=3 is r = 3/cos θ.

J. The polar form of the equation x² − y² = 9 is r = 3/√(cos(2θ)) or r = -3/√(cos(2θ)).

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6. For each function determine:
i) the critical values
ii) the intervals of increasing or decreasing iii) the maximum and
minimum points.
f (x)=4x^2 +12x−7 (3 marks)
f (x)= x^3 −9x^2+24x −10

Answers

For f(x) = 4x^2 + 12x - 7: i) Critical value: x = -3/2, ii) Increasing interval: (-∞, -3/2), Decreasing interval: (-3/2, +∞), iii) Local minimum point: (-3/2, f(-3/2)).

For f(x) = x^3 - 9x^2 + 24x - 10: i) Critical values: x = 2, x = 4, ii) Increasing interval: (-∞, 2), (4, +∞), Decreasing interval: (2, 4), iii) Local minimum points: (2, f(2)), (4, f(4)).

To find the critical values, intervals of increasing or decreasing, and the maximum and minimum points of the given functions, we need to take the following steps:

i) Critical Values:

The critical values of a function occur where its derivative is either zero or undefined. To find the critical values, we need to differentiate the given functions.

For f(x) = 4x^2 + 12x - 7, we take the derivative:

f'(x) = 8x + 12

Setting f'(x) = 0 and solving for x:

8x + 12 = 0

8x = -12

x = -12/8

x = -3/2

For f(x) = x^3 - 9x^2 + 24x - 10, we take the derivative:

f'(x) = 3x^2 - 18x + 24

Setting f'(x) = 0 and solving for x:

3x^2 - 18x + 24 = 0

x^2 - 6x + 8 = 0

(x - 2)(x - 4) = 0

x = 2 or x = 4

ii) Intervals of Increasing or Decreasing:

To determine the intervals of increasing or decreasing, we need to analyze the sign of the derivative.

For f(x) = 4x^2 + 12x - 7:

Since f'(x) = 8x + 12, the derivative is positive for x > -3/2 and negative for x < -3/2. Therefore, the function is increasing on the interval (-∞, -3/2) and decreasing on the interval (-3/2, +∞).

For f(x) = x^3 - 9x^2 + 24x - 10:

Since f'(x) = 3x^2 - 18x + 24, we can factor the quadratic expression:

f'(x) = 3(x - 2)(x - 4)

The derivative is positive for x < 2 and x > 4, and negative for 2 < x < 4. Therefore, the function is increasing on the intervals (-∞, 2) and (4, +∞), and decreasing on the interval (2, 4).

iii) Maximum and Minimum Points:

To find the maximum and minimum points, we can use the critical values and analyze the behavior of the function.

For f(x) = 4x^2 + 12x - 7:

Since the function is increasing on the interval (-∞, -3/2) and decreasing on the interval (-3/2, +∞), the critical value x = -3/2 corresponds to a local minimum.

For f(x) = x^3 - 9x^2 + 24x - 10:

The critical values x = 2 and x = 4 correspond to potential maximum or minimum points. To determine which is which, we can analyze the behavior of the function around these points. By substituting values into the function, we can see that f(2) = 2 and f(4) = 2. Therefore, x = 2 and x = 4 correspond to local minimum points.

For f(x) = 4x^2 + 12x - 7:

i) Critical value: x = -3/2

ii) Increasing interval: (-∞, -3/2)

Decreasing interval: (-3/2, +∞)

iii) Local minimum point: (-3/2, f(-3/2))

For f(x) = x^3 - 9x^2 + 24x - 10:

i) Critical values: x = 2, x = 4

ii) Increasing interval: (-∞, 2), (4, +∞)

Decreasing interval: (2, 4)

iii) Local minimum points: (2, f(2)), (4, f(4))

Please note that the explanation provided assumes that the given functions are defined for all real numbers. If there are specific domains specified for the functions, it is important to consider them while determining the intervals and points.

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a claim that two situations are similar, based on minor similarities between two cases when there are major differences being ignored is a _____.

Answers

The claim that two situations are similar, despite major differences being ignored and only minor similarities being emphasized, is a fallacy known as false analogy.

False analogy is a logical fallacy that occurs when two situations are compared based on minor similarities while ignoring significant differences. It involves drawing an invalid or weak comparison between two unrelated or dissimilar things. In this fallacy, the person making the claim assumes that because two situations share some superficial similarities, they must be similar in all aspects. However, this overlooks the fundamental differences that make the situations distinct.

For example, if someone argues that banning the use of plastic bags in a city is similar to banning the use of cars, based solely on the fact that both involve restricting a common item, they would be committing a false analogy. While there may be minor similarities between the two situations, such as the concept of imposing restrictions, there are major differences in terms of environmental impact, necessity, and alternatives. Ignoring these significant differences leads to an invalid comparison and can result in flawed reasoning.

In conclusion, false analogy occurs when two situations are deemed similar based on minor similarities while disregarding major differences. It is essential to carefully evaluate the relevant factors and understand the nuances of each situation before drawing comparisons to ensure logical and valid arguments.

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Determine the equation of the circle graphed below

Determine the equation of the circle graphed below

Answers

Answer:

(x-3)^2+(y-5)^2=3^2

Step-by-step explanation:

Solve for x.

Use the quadratic formula.

2x2−9x+8=0


Enter the solutions, in simplified radical form, in the boxes.

x =
or x =

Answers

\(\\ \rm\rightarrowtail 2x^2-9x+8=0\)

\(\\ \rm\rightarrowtail x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\)

\(\\ \rm\rightarrowtail x=\dfrac{9\pm\sqrt{81-64}}{4}\)

\(\\ \rm\rightarrowtail x=\dfrac{9\pm\sqrt{27}}{4}\)

\(\\ \rm\rightarrowtail x=\dfrac{9\pm3\sqrt{3}}{4}\)

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