ASAP WILL GIVE BRAINLIESTWhich do you prefer: leaving 5–√ in radical form, or converting it to a decimal? Why? When would it be useful to use each?Your response should be 3-5 sentences long and show that you’ve thought about the topic/question at hand. Please be aware we are looking for YOUR PERSONAL OPINION and there is not a single “correct answer.”

D) y=3x+10  ,E) y=x²-6x+5, G) y = (x-1)² + 3   H)y = -x² + x + 2.

To solve D we need to find slope ,  to find E and G we need to use equation y=a(x-h)²+k  for H use transformation rule for reflection

In mathematics, slope is a measure of how steep a line is. More specifically, it is the ratio of the vertical change (rise) to the horizontal change (run) between any two points on the line. The slope of a line can be positive, negative, zero, or undefined.

In mathematics, a transformation rule is a set of instructions that describe how to change the position, size, or shape of a geometric object. For example, a translation transformation rule might describe how to move a point or object a certain distance horizontally and/or vertically

In the given question ,

To solve D

slope = m = |y2-y1|/|x2-x1|=|4-1|/|-2+1|=3

y= mx + c  

=>  y=3x+c  

By substituting( x , y )=(-2,4)

we get

c=10

therefore we get equation as  y=3x+10

to solve E and G we need to use

y = a(x-h)² + k

=>  y = a(x-1)² + 3  

=>  4 = a(0-1)²+ 3

=> 4 = a + 3

a = 1

y = (x-1)^2 + 3

to solve H

to reflect F(x) across the x-axis, we can start by replacing every y in the equation with -y:

-y = (x + 1)(x - 2)

y = - (x + 1)(x - 2)  

=>  y = - (x² - x - 2)

=>  y = -x² + x + 2

So the equation of the x-axis reflection of F(x) is y = -x² + x + 2.

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Using the z-distribution, it is found that the 95% confidence interval for the true proportion of adults who said that they will travel more this year is (0.347, 0.433).

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which z is the z-score that has a p-value of \(\frac{1+\alpha}{2}\).

195 out of 500 people said they would take more vacations this year than last year, hence:

\(n = 500, \pi = \frac{195}{500} = 0.39\)

95% confidence level, hence\(\alpha = 0.95\), z is the value of Z that has a p-value of \(\frac{1+0.95}{2} = 0.975\), so \(z = 1.96\).

The lower limit of this interval is:

\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.39 - 1.96\sqrt{\frac{0.39(0.61)}{500}} = 0.347\)

The upper limit of this interval is:

\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.39 + 1.96\sqrt{\frac{0.39(0.61)}{500}} = 0.433\)

The 95% confidence interval for the true proportion of adults who said that they will travel more this year is (0.347, 0.433).

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Answer:

133,860

Step-by-step explanation:

The baker was going to sell his house for 145,500 but he found that no one came to buy, so he decreased the amount by "8%".

* No we have our key elements:

- Starting amount = 145,500

- Rate of change = 8%

* We will get the "8%" of the number 145,500

- Firstly, "8%" means 8/100

- So, 0.08 will be our new rate of change.

* 145,500 will be multiplied by 0.08 to find the final answer because when we talk about the percentage of a number, we are going to talk about a part of it.

- 145,500 × 0.08 = 133,860 ; the same as

145,500 × 8/100 = 133,860

Answer:

(- 4, 9 )

Step-by-step explanation:

Given the 2 equations

3x + 4y = 24 → (1)

3x + 2y = 6 → (2)

Subtract (2) from (1) term by term to eliminate x

3x - 3x + (4y - 2y) = 24 - 6

2y = 18 ( divide both sides by 2 )

y = 9

Substitute y = 9 into either of the 2 equations and solve for x

Substituting into (1)

3x + 4(9) = 24

3x + 36 = 24 ( subtract 36 from both sides )

3x = - 12 ( divide both sides by 3 )

x = - 4

solution is (- 4, 9 )

Answer:

its (2,8)

Step-by-step explanation:

the point is the  multiple of the abscissa 1 and ordinate 4 if we multiply 2 with 1 and 4 we get (2,8) and the ratio is also same

or it can be all the multiples of 1 and 4

thank u

Answer:

The correct option is  A

Step-by-step explanation:

From the question we are told that

    The  population is  \(\mu = 6.6\)

     The level of significance is \(\alpha = 5\% = 0.05\)

      The sample data is  9.0, 7.3, 6.0, 8.8, 6.8, 8.4, and 6.6 pounds

The Null hypothesis is \(H_o : \mu = 6.6\)

 The Alternative hypothesis is  \(H_a : \mu > 6.6\)

The critical value of the level of significance obtained from the normal distribution table is

                       \(Z_{\alpha } = Z_{0.05 } = 1.645\)

Generally the sample mean is mathematically evaluated as

      \(\=x = \frac{\sum x_i }{n}\)

substituting values

      \(\=x = \frac{9.0 + 7.3 + 6.0+ 8.8+ 6.8+ 8.4+6.6 }{7}\)

      \(\=x = 7.5571\)

The standard deviation is mathematically evaluated as

           \(\sigma = \sqrt{\frac{\sum [ x - \= x ]}{n} }\)

substituting values

          \(\sigma = \sqrt{\frac{ [ 9.0-7.5571]^2 + [7.3 -7.5571]^2 + [6.0-7.5571]^2 + [8.8- 7.5571]^2 + [6.8- 7.5571]^2 + [8.4 - 7.5571]^2+ [6.6- 7.5571]^2 }{7} }\)\(\sigma = 1.1774\)

Generally the test statistic is mathematically evaluated as

            \(t = \frac{\= x - \mu } { \frac{\sigma }{\sqrt{n} } }\)

substituting values

           \(t = \frac{7.5571 - 6.6 } { \frac{1.1774 }{\sqrt{7} } }\)

            \(t = 1.4274\)

Looking at the value of  t and  \(Z_{\alpha }\)   we see that \(t < Z_{\alpha }\) hence we fail to reject the null hypothesis

  What this implies is that there is no sufficient evidence to state that the sample data show as significant increase in the average birth rate

The conclusion is that the mean is  \(\mu = 6.6 \ lb\)

To support her discussion, it would be best for Alex to use Graph A for her presentation. Alex should use this graph for her presentation because the number of faulty products appears to decrease less on this graph.

In Mathematics and Geometry, a steeper slope simply means that the slope of a line is bigger than the slope of another line. This ultimately implies that, a graph with a steeper slope has a greater (faster) rate of change in comparison with another graph.

In order to determine an equation with a declining line, we would have to determine the slope of each line graphically and then taking note of the line with a negative rate of change (slope) because it indicates a decreasing function.

In this context, we can reasonably infer and logically deduce that Graph A is more suited for Alex's presentation because the number of faulty products appears to decrease less on it.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

9514 1404 393

Answer:

  C.  It is increasing and concave up because y′>0 and y′′>0.

Step-by-step explanation:

The curve C is a hyperbola in the 2nd and 4th quadrants. As such, it has no maximum or minimum. It is increasing at an increasing rate at the point (-2, 2), so matches the description of choice C.

Answer:

9

Step-by-step explanation:

substitute the x which is x= 2, so

f(2)= (2+1)^2

=(3)^2

=9

The value of f(2) if f(x) = (x+1)² is 9.

A function from set X to set Y is created by assigning an element from set Y to each element in set X.
The function's domain and codomain are respectively referred to as the sets X and Y and considered as a whole.

A function, its domain, and its codomain are denoted by the notation  f:X→Y.  

The image of x under f or the value of f applied to the input x are terms used to describe the value of a function at an element x of X, indicated by the notation f(x).

The functions can also be referred to as maps or mappings.

In this question;

Given function is f(x) = (x+1)²

We have to find the value of f(2) that means we have to put 2 in the place of x in f(x)

Thus,

⇒f(x) = (x+1)²

⇒f(2)= (2+1)²

⇒f(2)= 3²

⇒f(2) = 9

Hence, the value of f(2) if f(x) = (x+1)² is 9.

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The actual value of $10 in currency A would be of $1.7 in currency B.

$17.

The actual value is obtained applying the proportions in the context of this problem.

The exchange rate is given as follows:

$1 in currency A - $1.7 in currency B.

Hence the value in currency B of $10 in currency A is obtained as follows:

1.7 x 10 = $17.

The problem asks for the value in currency B of $10 in currency A.

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Answer:

56 inches (rounded)

Step-by-step explanation:

to solve this problem use the pythagreon theorem (a^2 + b^2 = c^2)

a and b represent the measurements of the side lengths of the TV in this case

plug in 27 for a and 49 for b

27^2 + 49^2 = c^2

2401 + 729 = c^2

c = 55.946 or 56

56 inches (rounded) is the length of the diagonal of the television screen.

56 inches (rounded) is the length of the diagonal of the television screen.

to solve this problem use the pythagreon theorem (a^2 + b^2 = c^2)

a and b represent the measurements of the side lengths of the TV in this case

plug in 27 for a and 49 for b

27^2 + 49^2 = c^2

2401 + 729 = c^2

c = 55.946 or 56

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The most appropriate name for the function that takes the length of a race and returns the time needed to complete it would be "time(length)".

When choosing a name for a function, it is important to consider clarity and readability. The name should accurately describe the purpose of the function and provide a clear indication of what it does.

In this case, the function is expected to take the length of a race as input and return the time needed to complete it as output. Among the given options, "time(length)" is the most suitable choice.

a. length(time): This name suggests that the function takes time as input and returns the length. However, in this scenario, we are interested in finding the time needed to complete the race based on its length, so this option is not the best fit.

b. Time(race): This name implies that the function takes a race as input and returns the time. While it conveys the idea of finding the time, it doesn't explicitly mention that the input is the length of the race, making it less clear.

c. time(length): This option accurately describes the purpose of the function, indicating that it takes the length of the race as input and returns the corresponding time. It is concise, clear, and aligns with the conventional naming conventions for functions.

d. cost(time): This name suggests that the function calculates the cost based on time, which is not relevant to the scenario of finding the time needed to complete a race.

Therefore, "time(length)" is the most suitable and appropriate name for the function.

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Answer:

1024

Step-by-step explanation:

4^8/4^3=4^8-3=4^5=1024

When r is less than 5 and we substitute r = 4 into the expression [3r-15], the result is -3.

The expression [3r-15] represents an algebraic expression that depends on the value of r. The condition given is that r is less than 5. To evaluate this expression, we substitute the value of r into the expression and simplify it.

Given that r is less than 5, let's substitute r = 4 into the expression:

[3(4) - 15]

= [12 - 15]

= -3

Therefore, when r is less than 5 and we substitute r = 4 into the expression [3r-15], the result is -3.

It's important to note that this answer is specific to the given condition that r is less than 5. If the condition changes or if r is greater than or equal to 5, the result of the expression may be different.

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Answer:

pi rad/s

Step-by-step explanation:

360 degrees = 2pi radians

thus 180 deg = pi radians

Answer: \(f^{-1} (x) = \sqrt{x} +1\)

Step-by-step explanation:

\(y = x^2 - 2x + 1\)

We know straight away the inverse will be a square root function. We also know that this inverse will have a restriction on the domain, (because you can only take the square root of a positive number).

So, to find the inverse, first we'll switch the x and y and solve for y:

\(x = y^2 - 2y +1\)

\(x = (y-1)^2\), (factor!)

±\(\sqrt{x} = y - 1\)

So, the inverse "function" is:

\(f^-1(x)\) = ±\(\sqrt{x} +1\)

But theres an issue here!

If we tried graphing this, this "function" would not pass the vertical line test, so its not really a function at all!

We need to restrict the domain to only include the values that are above the x axis.

So our final inverse function is:

\(f^{-1} (x) = \sqrt{x} +1\)

The simplified form of the expression 4x(x + 1) − (3x − 8)(x + 4) is -3x^2 - 4x - 32.

To simplify the expression 4x(x + 1) − (3x − 8)(x + 4), we can expand the parentheses and combine like terms.

Expanding the first term, we get 4x^2 + 4x.

Expanding the second term, we have -(3x)(x) - (3x)(4) - (-8)(x) - (-8)(4), which simplifies to -3x^2 - 12x - (-8x) - (-32), further simplifying to -3x^2 - 12x + 8x - 32.

Combining like terms, we obtain -3x^2 - 4x - 32.

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Answer:

1, 2, 3, 5. sorry if this is incorrect, i tried my best!

Step-by-step explanation:

Answer:

It's B

Step-by-step explanation:

We can be 99% confident that the true mean healing rate of newts falls within the interval of 22.919 to 30.415 micrometers per hour.

Sample Mean: = (29 + 27 + 34 + 40 + 22 + 28 + 14 + 35 + 26 + 35 + 12 + 30 + 23 + 18 + 11 + 22 + 23 + 33) / 18

= 480 / 18

≈ 26.667

Sample Standard Deviation (s):

= ✓((Σ(29 - 26.667)² + (27 - 26.667)² + ... + (33 - 26.667)²) / (18 - 1))

≈ ✓(319.778 / 17)

≈ ✓(18.81)

≈ 4.336

Confidence level = 99%

Sample Size (n) = 18

Sample Mean = 26.667

Sample Standard Deviation (s) = 4.336

Degrees of Freedom (df) = n - 1 = 18 - 1 = 17

Using a t-table or statistical software, we find that the critical value for a 99% confidence level with 17 degrees of freedom is approximately 2.898.

Margin of Error (E) = 2.898 * (4.336 / ✓18))

≈ 3.748

Confidence Interval = (26.667 - 3.748, 26.667 + 3.748)

= (22.919, 30.415)

We can be 99% confident that the true mean healing rate of newts falls within the interval of 22.919 to 30.415 micrometers per hour. This means that if we were to repeat the study multiple times and construct confidence intervals, approximately 99% of those intervals would contain the true mean healing rate of the population.

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Answer:

I don't understand the Question

Step-by-step explanation:

Answer:

Step-by-step explanation:

3a.)

sin(a)=12/13

cos(a)=5/13

tan(a)=12/5

3b.)

sin(b)=3/5

cos(b)=4/5

tan(b)=3/4

I guess you could write arc_(number/number) instead of what i currently have. For example, instead of tan(a)=12/5 you can write a=arctan(12/5). obviously, they're equal, so you could probably go either way.

4a.)

cos(a)= 38/47

a=arccos(38/47)

a=36.0493290536= 36

4b.)

sin(a)=19/35

a=arcsin(19/35)

a=32.8783495644 = 32.9

Answer:

f^-1(x)= x/8 - 1/2

Step-by-step explanation:

y=8x+4

interchange the variables

x=8y+4

8y= x-4

y=x/8-1/2

so f^-1= x/8- 1/2

Thus, the solution set of the given absolute value inequalities is found as: 0 ≥ x ≥ -1

The comparison of the connection here between variable and its value is a compound inequality. In a compound inequality, a variable is compared across two ranges which may provide the variable's range by satisfying either one or both of the limitations .

The given absolute value inequalities :

|(x+1)/2 - x/2| < 1/2

Removing the modulus sign will for 2 equations:

(x+1)/2 - x/2 < 1/2  and  (x+1)/2 - x/2 < - 1/2

Simplifying each:

(x+1)/2 - x/2 < 1/2  

x/2 + 1/2 - x/2 < 1/2

Both values will get cancelled:

0 < 0

But 0 = 0

and  (x+1)/2 - x/2 > - 1/2

x/2 + 1/2 - x/2 > -1/2

0 > -1 (correct)

here also the terms are getting completely cancelled to

Thus, the solution set of the given absolute value inequalities is found as: 0 ≥ x ≥ -1

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Complete question:

Find the set of the solutions of the following absolute value inequalities.

|(x+1)/2 - x/2| < 1/2

Answer: 4

I’m sorry, I could not find any other methods except for finding the closest perfect square which was 2116. (46^2)

Answer:

3 - 5 = -2

Step-by-step explanation:

Cause 3 is lower than 5

And since 5 - 3 = 2

If it's the other way around it's a negative number

Answer:

3

Step-by-step explanation:

Start from 0 and do 3 minus 5 which gets you -2

Answer:

m∠2 = 34°

Step-by-step explanation:

u would do m∠PQR - m∠1 = m∠2

substitute the numbers and u get: 73° - 39° = 34°

hope this helps! :)

EXPLANATION:

Given that

from the figure:

m angle PQR = 73°

m angle 1 (PQS) = 39°

To find: the measurement of m angle 2 (RQS) = ?

Let's solve!!

m angle 1 + m angle 2 = 73° {Sum of angles of the given figure is 73°}

Substitute the above values in equation then

⇛39° + m angle 2 = 73°

Shift the number 39° from LHS to RHS, changing it's sign

⇛m angle 2 = 73° - 39°

⇛m angle 2 = 34°

Therefore, angle RQS = 34°

Answer: Hence, the measurement of m angle 2 = 34°

Please let me know if you have any other questions.

Answer:

D=1

Step-by-step explanation:

1. Combine multiplied terms into a single fraction
2. Cancel terms that are in both numerator and denominator
3. Divide by 1

Answer:

I honestly don't know but I think its all real numbers but not zero

Step-by-step explanation: