r² + √s
how do i solve this im stuck?

Answer:

Step-by-step explanation:

I'm pretty

a. Let's check whether the given pairs are in the relation S or not.

Is 2 S 2?

To check if (2, 2) is in S, we need to evaluate the expression:

(1/2) - (1/2) = 1/2 - 1/2 = 0

Since 0 is an integer, (2, 2) is in S.

Is -1 S -1?

To check if (-1, -1) is in S, we need to evaluate the expression:

(1/-1) - (1/-1) = -1 - (-1) = 0

Since 0 is an integer, (-1, -1) is in S.

Is (3, 3) ∈ S?

To check if (3, 3) is in S, we need to evaluate the expression:

(1/3) - (1/3) = 1/3 - 1/3 = 0

Since 0 is an integer, (3, 3) is in S.

Is (3, -3) ∈ S?

To check if (3, -3) is in S, we need to evaluate the expression:

(1/3) - (1/-3) = 1/3 + 1/3 = 2/3

2/3 is not an integer, so (3, -3) is not in S.

b. Set of ordered pairs S:

S = {(x, y) | (1/x) - (1/y) is an integer}

S = {(2, 2), (-1, -1), (3, 3)}

c. Domain and Co-domain of S:

Domain of S: The set of all first components (x-values) of the ordered pairs in S.

Domain of S = {-3, -2, -1, 1, 2, 3}

Co-domain of S: The set of all second components (y-values) of the ordered pairs in S.

Co-domain of S = {-3, -2, -1, 1, 2, 3}

d. Arrow diagram for S:

Domain (C): {-3, -2, -1, 1, 2, 3}

Co-domain (D): {-3, -2, -1, 1, 2, 3}

(2, 2) -----> (0)  // 0 represents an integer

(-1, -1) -----> (0)

(3, 3) -----> (0)

(3, -3) -----> (2/3)  // 2/3 is not an integer

Note: The arrow diagram helps visualize the mapping of elements from the domain to the co-domain based on the relation S. Arrows point from the element in the domain to the result of the expression (integer or not integer) in the co-domain.

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Answer:

see explanation

Step-by-step explanation:

(a)

calculate the lengths using the distance formula

d = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)

with (x₁, y₁ ) = J (- 3, - 7 ) and (x₂, y₂ ) = K (3, - 8 )

JK = \(\sqrt{(3-(-3))^2+(-8-(-7))^2}\)

    = \(\sqrt{(3+3)^2+(-8+7)^2}\)

    = \(\sqrt{6^2+(-1)^2}\)

    = \(\sqrt{36+1}\)

    = \(\sqrt{37}\)

repeat with (x₁, y₁ ) = M (8, 3 ) and (x₂, y₂ ) = N (7, - 3 )

MN = \(\sqrt{(7-8)^2+(-3-3)^2}\)

      = \(\sqrt{(-1)^2+(-6)^2}\)

     = \(\sqrt{1+36}\)

     = \(\sqrt{37}\)

repeat with (x₁, y₁ ) = P (- 8, 1 ) and (x₂, y₂ ) = Q (- 2, 2 )

PQ = \(\sqrt{-2-(-8))^2+(2-1)^2}\)

      = \(\sqrt{(-2+8)^2+1^2}\)

      = \(\sqrt{6^2+1}\)

      = \(\sqrt{36+1}\)

      = \(\sqrt{37}\)

(b)

JK ≅ MN ← true

JK ≅ PQ ← true

MN ≅ PQ ← true

\(52 - x = 52\)

\(x = 52 - 52\)

\(x = 0\)

Answer:

(1/3) / (x+1) + (-1/3) / (x+4)

Step-by-step explanation:

1 / (x+1)(x+4) = (A/x+1) + (B/x+4)

1 =  ((A/x+1) + (B/x+4)) * (x+1)(x+4)

1 = A*(x+4) + B*(x+1)

* if x = -4

1 = A*(-4+4) + B*(-4+1)

1 = B*(-3)

B = -1/3

** if x = -1

1 = A*(-1+4) + B*(-1+1)

1 = A*(3)

A = 1/3

check: (1/3)/(x+1) + (-1/3)/(x+4) = ((1/3)*(x+4))/((x+1)(x+4)) + ((-1/3)*(x+1))/((x+1)(x+4))

==> ((1/3x + 4/3)+(-1/3x - 1/3)) / ((x+1)(x+4)) = 1 / (x+1)(x+4)

we can be 95% confident that the true proportion of correct responses made by touch therapists is between 0.428 and 0.528.

Emily conducted an experiment in which she tested touch therapists to see if they could sense her energy field. She randomly selected either her right or left hand, and then asked the therapists to identify the selected hand by placing their hand just under Emily's hand without seeing it and without touching it. Among 295 trials, the touch therapists were correct 141 times.

a. If the touch therapists made random guesses, the proportion of correct responses expected would be 0.5.

b. The point estimate of the therapists' success rate is 141/295 = 0.478.

c. To construct a 95% confidence interval estimate, we can use the formula:

sample proportion ± z*(standard error)

where z* is the critical value from the standard normal distribution corresponding to a 95% confidence level, and the standard error is:

sqrt[(sample proportion * (1 - sample proportion))/sample size]

Using a standard normal distribution table or calculator, we find that z* = 1.96. Substituting the values from Emily's sample, we get:

0.478 ± 1.96*(sqrt[(0.478 * 0.522)/295])

= 0.428 to 0.528

Therefore, we can be 95% confident that the true proportion of correct responses made by touch therapists is between 0.428 and 0.528.

d. Since the confidence interval includes 0.5, there is not enough evidence to suggest that touch therapists can reliably select the correct hand by sensing energy fields. The correct answer is C: "Since the confidence interval is not entirely above 0.5, there does not appear to be sufficient evidence that touch therapists can select the correct hand by sensing energy fields."

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Answer:

You could use 3.14 or 22/7

Step-by-step explanation:

It should be what you're asking, if not, tell me and I'll give you another answer.

:)

Answer:

use 22/7 or 355/133, but 355/133 is not very commonly used and is unwieldy.

Step-by-step explanation:

The probability of failure on trial 12 is approximately 0.582 or 0.58 (rounded to two decimal places). So, the correct answer is 0.58.

To find the probability of failure on trial 12 in a binomial experiment with 15 trials, we need to first find the probability of success on the first 11 trials and then multiply it by the probability of failure on trial 12.

The probability of success on trial 8 is given as 0.71. Since this is a binomial experiment, the probability of success on any trial remains the same throughout the experiment. Therefore, the probability of success on the first 11 trials is:

P(success on first 11 trials) = (0.71)^11

The probability of failure on trial 12 is simply the complement of the probability of success on trial 12:

P(failure on trial 12) = 1 - 0.71 = 0.29

Now we can calculate the probability of failure on trial 12 as follows:

P(failure on trial 12) = P(success on first 11 trials) x P(failure on trial 12)

P(failure on trial 12) = (0.71)^11 x 0.29

P(failure on trial 12) = 0.582 or 0.58 (rounded to two decimal places)

Therefore, the probability of failure on trial 12 is 0.58.

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The probability of failure on trial 12 is approximately 0.582 or 0.58 (rounded to two decimal places). So, the correct answer is 0.58.

To find the probability of failure on trial 12 in a binomial experiment with 15 trials, we need to first find the probability of success on the first 11 trials and then multiply it by the probability of failure on trial 12.

The probability of success on trial 8 is given as 0.71. Since this is a binomial experiment, the probability of success on any trial remains the same throughout the experiment. Therefore, the probability of success on the first 11 trials is:

P(success on first 11 trials) = (0.71)^11

The probability of failure on trial 12 is simply the complement of the probability of success on trial 12:

P(failure on trial 12) = 1 - 0.71 = 0.29

Now we can calculate the probability of failure on trial 12 as follows:

P(failure on trial 12) = P(success on first 11 trials) x P(failure on trial 12)

P(failure on trial 12) = (0.71)^11 x 0.29

P(failure on trial 12) = 0.582 or 0.58 (rounded to two decimal places)

Therefore, the probability of failure on trial 12 is 0.58.

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Answer:

14

Step-by-step explanation:

4 - 5 * -2 =

4 - -10 =

14

Hope this helped :]

Answer:

14

Step-by-step explanation:

b = 4

y = -2

Therefore;

(4) - 5(-2)

=> 4 - (-10)

=> 4 + 10

=> 14

Hope this helps!

We can conclude that the difference between p1 and p2 is statistically significant at the 5% level of significance.

The confidence interval and significance test in part A both provide similar information. The significance test in part A tests if the difference between p1 and p2 is statistically significant, while the confidence interval provides an estimated range of values for the true difference between p1 and p2 with a certain degree of confidence (95% in this case).A confidence interval is a range of values that we believe will include a population parameter with a specified level of confidence.

It can be computed to estimate the population mean or the difference between two population means, such as p1 and p2.In contrast, a significance test assesses whether the difference between two population proportions is statistically significant.

The test calculates a p-value, which is the likelihood of obtaining the observed difference between two proportions, assuming the null hypothesis (that there is no difference between the two proportions) is true. A p-value less than the level of significance (usually 0.05) indicates that the difference between the two proportions is statistically significant, while a p-value greater than the level of significance indicates that the difference is not statistically significant.

Both the confidence interval and the significance test inform us about the difference between two population proportions. The confidence interval provides a range of plausible values for the difference, while the significance test tells us whether the difference is statistically significant or not. In this particular case, since the confidence interval does not contain zero,

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Answer:

7183 cars

Step-by-step explanation:

On Friday, 2364 cars parked in the garage.

On Sunday, 2,455 more cars parked In the garage than on Friday.

This means that the number of cars parked on Sunday is 2455 plus the number of cars parked on Friday, that is:

2455 + 2364 = 4819 cars

Therefore, the number of cars parked in the garage in the two days is:

4819 + 2364 = 7183 cars

7183 cars were parked during the two days.

Answer:

$1592.03

Look at image above...

the slope of the line that passes through (54, 82) and (-16, 5) is: -2



To find the slope of a line, we use the formula:

slope = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are two points on the line.

Using the given point, we have:

slope = (5 - 82) / (-16 - 54)
slope = (-77) / (-70)
slope = 11/10

However, we need to simplify this answer as requested. We can simplify 11/10 as follows:

11/10 = 1 and 1/10

Therefore, the slope of the line that passes through (54, 82) and (-16, 5) is -2 (as an integer).



The slope of the line is -2, which means that the line is decreasing (or sloping downwards) as we move from left to right.
Hi! I'm happy to help you with your question.

To find the slope of the line that passes through the points (54, 82) and (-16, 5), you'll use the slope formula:

m = (y2 - y1) / (x2 - x1)

In this case, the coordinates are (x1, y1) = (54, 82) and (x2, y2) = (-16, 5). Plug these values into the formula:

m = (5 - 82) / (-16 - 54)

Now, we'll simplify:

m = (-77) / (-70)

Finally, reduce the fraction to its simplest form:

m = 11/10

The slope of the line that passes through the points (54, 82) and (-16, 5) is 11/10.

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Answer: 3^15

Step-by-step explanation: carry the one to the 5 divide by the third and multiply the fractions , find the mean ( average ) of the mode and square that to find your a b and c values

In the above case, the possible point system will be:

1st choice vote: 4 points

2nd choice vote: 2 points

In arranging for the turtle to win in this point framework, the point values relegated for 1st choice and 2nd choice votes have to be meet the taking after criteria:

Lets say:

1st choice vote: 4 points

2nd choice vote: 2 points

Thus by the use of these point values, the turtle would have the next chance of winning since 1st choice votes would be worth more point (4 point ) compared to 2nd choice votes (3 point ). This would push individuals to select the turtle as their 1st choice, because it would allow the turtle a better add up to point gains and increase its chances of winning.

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Answer:

3

Step-by-step explanation:

Take 2 points, and count the rise (how far up you go to the 2nd point) and the run (how far over)

The equilibrium solution(s) of the differential equation y′ = y^2 − 9,  is -(1/3)y^3 + 9y = x + 6.

To find the equilibrium solution(s) of the differential equation y′ = y^2 − 9, we need to set y' equal to zero and solve for y.

So, we have y^2 − 9 = 0.

Factoring the equation, we get (y − 3)(y + 3) = 0.

Therefore, the equilibrium solutions are y = 3 and y = -3.

Now, let's solve the initial value problem (IVP) y′ = y^2 − 9, y(0) = 2.

First, we integrate both sides of the equation to get ∫(1/y^2 − 9) dy = ∫dx.

This simplifies to -(1/3)y^3 + 9y = x + C, where C is the constant of integration.

Using the initial condition y(0) = 2, we substitute x = 0 and y = 2 into the equation to find C.

We have -(1/3)(2)^3 + 9(2) = 0 + C. Simplifying further, C = 6.

Substituting C back into the equation, we get -(1/3)y^3 + 9y = x + 6.

This is the solution to the IVP y′ = y^2 − 9, y(0) = 2.

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The measure of angle DAB in the given quadrilateral can be calculated as: 109°.

To find the measure of an angle in a quadrilateral, you need to use the fact that the sum of all angles in a quadrilateral is always equal to 360 degrees.

Using the above fact stated, we can add up the three known angles in the given quadrilateral and then subtract it from 360 degrees to find the measure of angle DAB.

Thus, we have:

m<DAB = 360 - (90 + 97 + 64)

m<DAB = 360 - 251

m<DAB = 109°

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Answer:

C. ½ of an inch per foot

Step-by-step explanation:

Given that \( \frac{1}{4} in. \) represents \( \frac{1}{2} ft \).

Unit rate in inches per foot = \( \frac{1}{4} in. \div \frac{1}{2} ft \)

Change the division operation to multiplication, and flip the fraction on your right upside down.

Thus:

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

Simplify

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

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

Unit rate in inches per foot = ½ of an inch per foot.

Answer:

it will be y=3x +? i forgot how to find b

Step-by-step explanation:

Answer:

y=3x+1

Hope it helps <3

Answer:

12 weeks

Step-by-step explanation:

Answer: 12 weeks

Step-by-step explanation:

you do 2200 minus 550 then with the answer you divide it by 20 then 7 and then get an estimate of 12. Hope this helps!

Answer:

Step-by-step explanation:

Triangle MNP is a right triangle with the following values:

Interior angles of a triangle sum to 180°. Therefore:

m∠M + m∠N + m∠P = 180°

m∠M + 58° + 90° = 180°

m∠M + 148° = 180°

m∠M = 32°

To find the measures of sides MN and NP, use the Law of Sines:

\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines} \\\\$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)

Substitute the values into the formula:

\(\dfrac{MN}{\sin P}=\dfrac{NP}{\sin M}=\dfrac{PM}{\sin N}\)

\(\dfrac{MN}{\sin 90^{\circ}}=\dfrac{NP}{\sin 32^{\circ}}=\dfrac{8}{\sin 58^{\circ}}\)

Therefore:

\(MN=\dfrac{8\sin 90^{\circ}}{\sin 58^{\circ}}=9.43342722...\)

\(NP=\dfrac{8\sin 32^{\circ}}{\sin 58^{\circ}}=4.99895481...\)

To find the perimeter of triangle MNP, sum the lengths of the sides.

\(\begin{aligned}\textsf{Perimeter}&=MN+NP+PM\\&=9.43342722...+4.99895481...+8\\&=22.4323820...\\&=22.43\; \sf units\; (2\;d.p.)\end{aligned}\)

Answer:

Step-by-step explanation:

c - 3 = 9.49

Answer:

y = -1/2x + 3

Step-by-step explanation:

Plug it in into the form y = mx + b (m is the slope)

​

Answer:

5 1/6

Step-by-step explanation:

3/8+5/16x 7 1/2= 5.0625

5.0625 as a fraction:

50625/10000= 81/16= 5 1/6

Step-by-step explanation:

I think you have forgotten to attach the question.

Anyways....

In order to find the area of a circle use the formula:

π\(r^{2}\)   Where r is the radius

For example the radius is 3cm. The area of the circle will be:

π × \(3^{2}\)

Since you have taken pi as 3.142...

3.142 × \(3^{2}\)

3.142  × 9

= 28.278

In order to find the answer to 1 decimal place, check the number next to the number right after the decimal. Is it a number greater than or equal to 5? then add +1 to the number.

= 28.3 \(cm^{2}\)

The investment will be worth approximately $\(9,516.31\) at the end of \(3\) years. As investment is measured by using the compound interest formula.

Compound interest is a type of interest that is calculated on the initial principal amount and any accumulated interest from previous periods. In other words, compound interest means earning interest on interest.

Simple interest is a type of interest that is calculated only on the initial principal amount. In other words, simple interest does not take into account any interest earned or charged from previous periods.

According to the given information

To solve this problem, we can use the formula for compound interest:

\(A= P(1+\frac{r}{n} )^{nt}\)

where A is the amount of money at the end of the investment period, P is the principal amount (initial investment), r is the annual interest rate (as a decimal), n is the number of times per year that interest is compounded, and t is the number of years of the investment period.

In this case, we have:

P = $\(7,300\) (initial investment)

r = \(7\)% = \(0.07\) (annual interest rate, compounded quarterly)

n = \(4\) (number of times per year that interest is compounded)

t = \(3\) (number of years of the investment period)

Substituting these values into the formula, we get:

\(A = 7300(1+\frac{0.07}{4}) ^{4*3} \\= 7300(1.0175)^{12} \\\)

= $\(9,516.31\) (rounded to the nearest cent)

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