solve 6+\(\sqrt[5]{249-2x} =7\)

The probability that it will rain both days is \(\frac{1}{4}\).

According to the question

Mr. and mrs. smith plan to roof the cabin on 2 consecutive days.

Assuming that the chance of rain is independent of the day

Probability is the chance that some event will happen.

It is the ratio of the number of ways a certain event can occur to the number of possible outcomes.

Probability = Number of ways it can occur/Total number of outcomes

Probability of rain on first day = 1/2

Probability of rain on second day = 1/2

Then

Probability of rain on both days = \(\frac{1}{2}\) × \(\frac{1}{2}\) = 1/4

Hence,

The probability that it will rain both days is \(\frac{1}{4}\).

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The dimensions of a rectangle with the largest area that can be drawn inside a circle with a radius of 5 are L = 5.77 and W = 8.16.

The diameter of the circle is twice the radius, so it is 2 × 5 = 10.

Let's assume that the length of the rectangle is L and the width is W.

Since the diagonal of the rectangle is equal to 10, we can use the Pythagorean theorem to express the relationship between the length, width, and diagonal

L² + W² = 10²

L² + W² = 100

To find the dimensions that maximize the area of the rectangle, we need to maximize the product L × W. One way to do this is to find the maximum value for L² × W².

W² = 100 - L²

Substituting this into the area formula, A = L × W, we have

A = L × (100 - L²)

To find the maximum area, we can take the derivative of A concerning L, set it equal to zero, and solve for L

dA/dL = 100 - 3L² = 0

3L² = 100

L² = 100/3

L = √(100/3)

Substituting this value of L back into the equation for W^2, we have

W² = 100 - (100/3)

W² = 200/3

W = √(200/3)

Therefore, the dimensions of the rectangle with the largest area that can be inscribed inside a circle with a radius of 5 are approximately L = 5.77 and W = 8.16.

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The expression "negative 1.7 divided by negative 10.06" or -1.7 ÷ -10.06 has a positive quotient.

Quotient is defined as the value resulting from dividing two numbers. When dividing two signed numbers (positive or negative), divide their absolute values and follow these rules:

(+) divided by (+) equals (+)

(-) divided by (-) equals (+)

(+) divided by (-) equals (-)

(-) divided by (+) equals (-)

To have a positive quotient, both the numerator and the denominator should have the same signs, either both (+) or both (-).

2.5 divided by negative 9.56 : +/- = -

negative 1.7 divided by negative 10.06 : -/- = +

negative 9.34 divided by 0.55 : -/+ = -

negative 0.3 divided by 9.44 : -/+ = -

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Answer:

2.537 x 10¹⁵ miles

Step-by-step explanation:

We are given the following:

1 light year = 5.9 x 10¹² miles

Distance of the star = 4.3 x 10² light years

To get this we just convert the distance of the star in light years into miles.

We cancel out the light years and then we are left with:

In dealing with scientific notation, when we multiply them we can treat the coefficients and exponents of 10 separately.

Coefficients:

4.3 x 5.9 = 25.37

Exponents of 10:

10² x 10¹² = 10⁽²⁺¹²⁾=10¹⁴

Then we combine them again to form a scientific notation:

25.37 x 10¹⁴

But since the standard in writing a scientific notation, the coefficient needs to be a number from 1-9, we need to move the decimal. When we move the decimal to the right or left, we change the exponent of the power of 10. Since we will move it once to the left, we add 1.

The answer will then be:

2.537 x 10¹⁵ miles

Hope I helped! If you really thought I did a great job answering this question please rate, thanks, and award brainliest.

Yours,

Fellow Brainiac

Answer:    318,600

Step-by-step explanation:

This is what I got hope it helped:)

Through the SAS rule of congruence, we prove that triangles LMY and LNX are congruent.​

Congruence is the condition when both of the figures have the same size, and shape and are mirror images of each other. SAS rule of congruence states when two sides and one angle is equal to the corresponding sides of the other triangle, then the two triangles are congruent.

Now, we have triangles LMY and LNX

In these two triangles, we have :

LX = LY { equal sides of isosceles triangle }

LM = LN { given}

∠LMY =  ∠LNX {corresponding angles of the equal sides of the isosceles triangle }

Hence, triangles LMY and LNX are congruent by the SAS rule of congruence.

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By using the fact that the sum of the interior angles of a triangle must be 180°, we will get:

Remember that the sum of the internal angles of a triangle is always equal to 180°, then we can write:

m∠B + m∠C + m∠D = 180°

Then:

13x - 35 + 5x - 19 + 2x + 14 =180

20x -40 = 180

20x = 180 + 40

20x = 220

x = 220/20

x = 11

Now that we know the value of x, we can find the measures of the angles.

m∠B = (13x- 35)° = (13*11 - 35)° = 108°

m∠B = (5x - 19)° = (5*11 - 19)° = 36°

m∠D = (2x + 14)° = (2*11 + 14)° = 36°

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Answer:

I Think D.

Step-by-step explanation:

Answer:

$250

Step-by-step explanation:

Total parts:

2+3+9 = 14

500/14 = 250/7

2×250/7 : 3×250/7 : 9×250/7

500/7 : 750/7 : 2250/7

The largest share is 2250/7, the smallest share is 500/7.

Find the difference.

2250/7 - 500/7 = 250

Answer:

$250

Step-by-step explanation:

2x+3x+9x= $500

9x-2x= 7x=?

14x= $500

7x= $500/2= $250

Based on this finding, the following conclusion can be drawn:
On average, students who spent more time studying performed worse on the test.

The correlation coefficient only accounts for the relationship between the two variables and not the variance,

so we cannot say that study time accounted for 65% of the variance in test performance.

From the student question, a Pearson's correlation of -0.65 was found between the number of minutes studying for a test and test performance in a sample of 300 students.

Based on this finding, the following conclusion can be drawn:
On average, students who spent more time studying performed worse on the test.

This is because the Pearson's correlation of -0.65 indicates a moderate negative relationship between study time and test performance.

However, it's important to note that correlation does not imply causation, so we cannot conclude that spending more time studying causes students to perform more poorly.

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The inverse Laplace transform of f(s) = -e^(-4s) (4s+6)/(s^2+6^2) is f(t) = -2e^(-2t) sin(6t) u(t).

To find the inverse Laplace transform of f(s), we first factor the denominator of f(s) to obtain f(s) = -e^(-4s) (4s+6)/[(s+3i)(s-3i)]. Then we use partial fraction decomposition to write f(s) as f(s) = A/(s+3i) + B/(s-3i), where A and B are constants. Solving for A and B, we get A = -2/(3i+2) and B = 2/(3i-2).

Next, we use the table of Laplace transforms to find the inverse Laplace transforms of A/(s+3i) and B/(s-3i). We have L^-1[A/(s+3i)] = -2e^(-3t) sin(6t) u(t) and L^-1[B/(s-3i)] = 2e^(3t) sin(6t) u(t). Thus, the inverse Laplace transform of f(s) is f(t) = L^-1[f(s)] = L^-1[A/(s+3i)] + L^-1[B/(s-3i)] = -2e^(-3t) sin(6t) u(t) + 2e^(3t) sin(6t) u(t) = -2e^(-2t) sin(6t) u(t).

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Table a and table c defines a relationship between an input x and an output y of function.

A function is a set of ordered pairs (x, y) in which each value of x corresponds to exactly one value of y. In other words, for a given value of x, there should be only one corresponding value of y.

Looking at the tables, we can see that Table a and Table d both satisfy this condition. In both tables, for each value of x, there is only one corresponding value of y. Therefore, Tables a and d represent functions.

Table b and Table c do not satisfy this condition, because there are multiple values of y for some of the values of x.

For example, in Table b, the value of x is 24 for both (24, 53) and (24, 29). Similarly, in Table c, the value of x is 24 for both (24, 53) and (24, 29). Therefore, Tables b and c do not represent functions.

Therefore table a and table c represents function of input x and output y.

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A function is a collection of ordered pairs (x, y) where each x-value is matched up with exactly one y-value. In other words, there should only be one value of y that corresponds to a certain value of x.

We can see from the tables that Tables a and Table d both meet this requirement. In both tables, there is only one value of y that corresponds to each value of x. Tables a and d so depict functions.

Because there are many possibilities of y for some of the values of x, Tables b and c do not meet this requirement.

For instance, the value of x in Table b is 24 for both (24, 53) and (24, 29). The value of x is 24 in Table c for both (24, 53) and (24, 29). Tables b and c do not, therefore, represent functions.

Tables a and c therefore show the function of input x and output y.

Answer:

n = -3

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define equation

3(-2 - n) = -9 - 4n

Step 2: Solve for n

Step 3: Check

Plug in n to verify it's a solution.

Answer:

150< x ≤ 250

Step-by-step explanation:

Couldn't be bothered

Answer:

0.75 Miles

Step-by-step explanation:

To find the answer we have to find the difference in the distance the train and car travelled

65/60 is 1.083333 which is miles per minute then multiplied by 3 is 3.25 mile gone in 3 minutes

For the train it is 50/60 which is 0.833333 and the times 3 is 2.5 miles in three minutes

3.25 miles minus 2.5 miles is 0.75 miles so that is how long the train is

A sample size of 329 would be required to be 99% confident that the estimated proportion of women-owned businesses not providing employee benefits is within 6 percentage points of the true population proportion.

To calculate the required sample size, we can use the formula:

n = (\(z^2\) * p * q) /\(e^2\)

where n is the sample size, z is the z-score corresponding to the desired level of confidence (in this case, 2.576 for 99% confidence), p is the estimated population proportion (0.165, based on the NWBC's finding), q is 1-p, and e is the maximum error we want to tolerate (in this case, 0.06 or 6 percentage points).

Substituting the values, we get:

n = (2.576^2 * 0.165 * 0.835) / \(0.06^2\)

Solving for n, we get:

n ≈ 329

Therefore, a sample size of 329 would be required to be 99% confident that the estimated proportion of women-owned businesses not providing employee benefits is within 6 percentage points of the true population proportion. Note that this assumes a simple random sample and that the population size is much larger than the sample size, so the finite population correction is not needed.

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(A) Algorithms are mathematical formulas placed in software that performs an analysis on a data set.

Therefore, (A) algorithms are mathematical formulas placed in software that performs an analysis on a data set.

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Answer:

$20.70

Step-by-step explanation:

5 × $3.70 = $18.50 + $2.20 =

$20.70

Answer:

the answer for 323.34  is 10,982

Step-by-step explanation:

I tried very hard to answer this question.

you have to multiply 323.34  to get  10,982.

hope this hlep you.

the answer is 234

its a very easy promblem hope it helps!

mark me also:)

Answer: 3

Step-by-step explanation:

First substitute values in :

8(3)(1/2)/ 2(1/2)(4)

Then simplify :

12/ 4

3

Answer :

$456

Step-by-step explanation:

Donation by local business :\( \frac{15}{100} \times 380 \\ \\ \frac{15 \times 38}{10} = 57\)

= $57

Donation by the principal of the student's school :

\( \frac{5}{100} \times 380 \\ \\ = \frac{5 \times 38}{10} = 19\)

= $19

The total money received by the food pantry :

$380 + $57 + $19

= $456

0.15 (380) = 57

0.05 (380) = 19

Let p = Food Pantry money in total

p = 380 + 57 + 19

p = $456

False. Most of the terrain geometry in the classic game Assassin's Creed is not composed of fundamentally basic geometric shapes with elaborate decoration

In the classic game Assassin's Creed, the terrain geometry is typically not composed of basic geometric shapes with elaborate decoration. Instead, it involves complex and detailed 3D models and environments.

The game's environments are known for their rich and immersive world-building, featuring intricate cityscapes, historical landmarks, and varied landscapes.

Assassin's Creed games are renowned for their attention to detail and realistic depiction of historical settings. The  geometry is designed to replicate real-world locations, such as cities, villages, forests, and mountains, with accuracy and authenticity.

This involves creating intricate architectural structures, intricate natural landscapes, and diverse terrain features.

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The inradius of the triangle of the given dimensions will be equal to the value 2.

To find the inradius of a triangle, we need to know the semi perimeter of the triangle, which is half of the perimeter. The perimeter of a triangle is the sum of the lengths of its sides. So, the semi perimeter of triangle ABC is (6+8+10)/2 = 12.

Now that we know the semi perimeter, we can use the formula for the inradius of a triangle:

inradius = √(s-a)(s-b)(s-c)/s

where a, b, and c are the lengths of the sides of the triangle and s is the semi perimeter.

Plugging in the values for a, b, c, and s, we get:

inradius = √(12-6)(12-8)(12-10)/12 = √(6)(4)(2)/12 = √48/12} = √4 = 2

Therefore, the inradius of triangle ABC is 2.

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Answer:

false

Step-by-step explanation:

1/8 = .125

2/4 = .5

therefore 1/8 does not = 2/4

Given the function h(x) = e-3x  and we have to evaluate the function at the indicated values. So, we need to substitute the values in the given function and find the value of the function at the given points as shown below: h(13) = e-3(13)h(13) = e-39h(13) = 0.000027323h(1.5) = e-3(1.5)h(1.5) = e-4.5h(1.5) = 0.01111h(-1) = e-3(-1)h(-1) = e3h(-1) = 20.08554h(-π) = e-3(-π)h(-π) = e3πh(-π) = 23.14069.

(a) For, h(-1):

Plug x = -1 into the function:

h(-1) = e^(-3*-1)

Using a calculator, we find that h(-1) ≈ 20.086.

Similarly,

(b) For, h(-π):

Plug x = -π into the function:

h(-π) = e^(-3*-π)

Using a calculator, we find that h(-π) ≈ 23.141.

So, the value of h(x) at the given values are : h(13) = 0.000027323, h(1.5) = 0.01111, h(-1) = 20.08554 and h(-π) = 23.14069.

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Answer:

1 hour and 45 minutes or 105 minutes

Step-by-step explanation:

105 minutes = 60 minutes + 45 minutes = 1 hour and 45 minutes

Answer:

105 min

Step-by-step explanation:

LOL i dont know what u asked this question for but the answer is 105 min it tells u right there "Liz watches a movie that iis 105 min long"  i sound so mean rn sorry if i offended u but i just think this is sort of funny

The total number of extra points earned is approximately 214 using Simpson's Rule.

Simpson's rule is a technique of numerical integration that approximates the value of a definite integral of a function by using quadratic functions. Here, you are supposed to create a spreadsheet to estimate the total number of extra points earned on the exam using Simpson's rule.Here is the table provided:

Number of hours of study, x1 2 3 4 5 6 7 8 9 10 11

Rate of extra points 4 8 14 11 12 16 22 20 22 24 26 earned on exam, f(x) OCIED

We first calculate h and represent it as follows:  

h = (b-a)/nwhere b = 11, a = 1, and n = 10.

 Therefore, h = (11-1)/10 = 1.

Substituting the values into the Simpson's Rule formula, we have:

∫ba{f(a) + 4f(a+h) + 2f(a+2h) + 4f(a+3h) + ... + 2f(b-h) + 4f(b-2h) + f(b)} / 3n

We have 10 intervals. Thus we have:

∫1111 {4 + 4(8) + 2(14) + 4(11) + 2(12) + 4(16) + 2(22) + 4(20) + 2(22) + 4(24) + 26} / 30≈ 214.0

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Step-by-step explanation:

(0.5-2)-1 = -1.5 - 1

= -2

(3+4) -2 = 7 - 2

= 5

(-8+5)+3 = -3+3

= 0

-(0.5-2)+1 = -(-1.5)+1

= +1.5 + 1

= 2.5

-(3+4)+2 = -(7) +2

= -5

-(-8-5) -3 = -(-13) -3

= +13 -3

= 10