Can someone please help me?

Answer:

s = √77

it is not rational since 77 not a perfect square

Step-by-step explanation:

area = s^2 = s * s = 77

==> s = √77

Answer:

D 0.89275

Step-by-step explanation:

Answer:

Following are the solution:

Step-by-step explanation:

Given equation:

\(\frac{dx}{dy}= \frac{y(y-2)}{2}........(a)\)

\(\Phi (x) = \frac{2}{1-ce^x}\)

In the question \(\Phi (x)\), is a solution of the equation (a) only if when \(\Phi (x)\)satisfies equation (a):

let us find \(\Phi' (x)\):-

\(\Phi(x) =\frac{d}{dx} \Phi (x)=\frac{d}{dx}(\frac{2}{1-ce^x})\)

                        \(= 2 \frac{d}{dx}({1-ce^x}^-1)\\\\= 2 (-1) ({1-ce^x})^{-2} \frac{d}{dx}({1-ce^x})\\\\= -2 ({1-ce^x})^{-2} (-ce^x})\\\\= 2(-ce^x) ({1-ce^x})^{-2} \\\\\)

Now:

\(\frac{dy}{dx}=\frac{y(y-2)}{2}\\\\\frac{d}{dx}\Phi (x) =\frac{\Phi (x) (\Phi (x)-2)}{2}\\\)

by subtracting the value of \(\Phi (x)\)and \(\frac{d}{dx}\)\(\Phi (x)\),we get:

\(\to\)\(2ce^x(1-ce^x)^-2= \frac{(\frac{2}{1-ce^x})(\frac{2}{1-ce^x})^{-2}}{2}\)

\(=2ce^x (1-ce^x)^{-2}=\frac{1}{2}[\frac{2}{1-ce^x}(\frac{2-2(1-ce^x)}{1-ce^x)}]\\\\= \frac{1}{1-ce^x} \times \frac{2ce^x}{1-ce^x}\\\\=\frac{2ce^x}{(1-ce^x)^2}\\\\=2ce^x (1-ce^x)^-2\)

\(\bold{2ce^x(1-ce^x)^-2=2ce^x(1-ce^x)^-2}\)

\(\Phi (x)\) the solution of the given equation. \(\Phi (x)\) has one Parameter Family of

\(\frac{dy}{dx}=\frac{y(y-2)}{2}\)

\(\Phi (x) =\frac{2}{1-ce^x}\\\\_{when} \ \ \ c= 0 \to \Phi (x) =\frac{2}{1-0\times e^x}=2\\\\_{when} \ \ \ c= 1 \to \Phi (x) =\frac{2}{1-1\times e^x}=\frac{2}{1-e^x}\\\\_{when} \ \ \ c= -1 \to \Phi (x) =\frac{2}{1-(-1)\times e^x}=\frac{2}{1+e^x}\\\\_{when} \ \ \ c= 2 \to \Phi (x) =\frac{2}{1-(-2)\times e^x}=\frac{2}{1-2e^x}\\\\_{when} \ \ \ c= -2 \to \Phi (x) =\frac{2}{1-(-2)\times e^x}=\frac{2}{1+2e^x}\\\\\)

Answer:

Mystery Number is 8

Step-by-step explanation:

3x - 15 = 5 + 1/2x

3x - 1/2x = 15 + 5

5/2x = 20

x = 20 / 5/2

x = 20 * 2/5

x = 40 / 5

x = 8

The actual base of the building is 1890 square feet.

A rectangle is a two-dimensional figure with length and width.

The area of a rectangle is Length x width.

We have,

1 inch = 15 feet

Rectangular base:

Length = 4.2 in

Width = 2 in

So,

4.2 in = 4.2 x 15 feet = 63 feet

2 in = 2 x 15 = 30 feet

Now,

The actual base of the building.

= 63 x 30

= 1890 square feet

Thus,

1890 square feet.

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Answer:

\(z = \frac{5}{6}\)

Step-by-step explanation:

\(z\) ∝ \(\frac{k}{w}\)

Where k is a constant we need to find when solving these questions.

\(20 = \frac{k}{6}\)

\(k = \frac{10}{3}\)

\(z = \frac{10/3}{4}\)

\(z = \frac{5}{6}\)

Answer:

m<2 = 104º

m<3 = 76º

m<4 = 104º

Step-by-step explanation:

given: m<1 = 76º

m<3 = m<1 this is because they are opposite angles which equals each other

A straight line = 180º

so m<1 + m<2 = 180 and m<3 + m<4 = 180

m<2 = 180 - m<1

m<2 = 180 - 76

m<2 = 104º

m<2 = m<4 so m<4 is also 104º

Hope this helps, Let me know if you have any questions !

m∠1 = 76°   Given.

m∠1 ≅ m∠3   Vertical Angle theorem.

m∠3 = 76° CPCTC

m∠1 + m∠2 = 180° (supplementary angles)

m∠3 + m∠2 = 180° (supplementary angles)

m∠1 & m∠3 ∴ Congruent (congruent supplements theorem)

m∠2 + m∠3 = 180° (supplementary angles)

m∠4 + m∠3 = 180° (supplementary angles)

m∠2 & m∠4 ∴ Congruent (congruent supplements theorem)

∴ IF m∠1 = 76° (Given)

THEN:

m∠2 = 104° (Supplementary angles)

m∠3 = 76° (Definition of vertical angles)

m∠4 = 104° (Supplementary angles)

Answer:

2,-1.5

Step-by-step explanation:

To find the midpoint of a line segment, take the average of the x coordinates and y coordinates of the two points that make it up.

\(\frac{2+2}{2} ,\frac{4+(-7)}{2}\)

=\(\frac{4}{2} , \frac{-3}{2}\)\(\frac{4}{2} , \frac{-3}{2}\)

=2,-1.5

Here's the answer for you

The number of fidgets and pop bought was 15 each

From the information given, we have that;

1 fidget costs $3

1 Pop cost $4

Let the number of Fidgets be x

Let the number of Pop be y

Then, we have that a total of 20 fidgets and Pop cots $75

We have that;

20x + y = 75

Now, substitute the value of x as 3, we get;

20(3) + y= 75

expand the bracket

y = 75 - 60

y = 15

The number of fidgets is expressed as;

20x/4 = 20(3) /4 = 15

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The requried completely factored form of the given polynomial is (q+w)(c+y).

We can group the first two terms and the last two terms together, then factor out the common factors:
= cq+cw+qy+wy
= c(q+w) + y(q+w)
= (q+w)(c+y)

Therefore, the completely factored form of the given polynomial is (q+w)(c+y).

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Answer:

1 = 58°

2 = 32°

3 = 32°

Step-by-step explanation:

Answer:

1/31 = 0.0323 probability that Charity gets just chocolate chips and a cherry.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Number of subsets in a set of n elements:

The number of subsets in a set of n elements, including the empty set, is given by:

\(2^{n}\)

Up to five toppings:

Up to five toppings means that the total number of possibilities is:

\(T = 2^{5} - 1 = 32 - 1 = 31\)

We subtract one to disconsider the option with no toppings.

What is the probability that Charity gets just chocolate chips and a cherry?

Chocolate chips and cherry is 1 subset, so \(D = 1\)

The probability is:

\(p = \frac{D}{T} = \frac{1}{31} = 0.0323\)

1/31 = 0.0323 probability that Charity gets just chocolate chips and a cherry.

Answer:

the answer will be choice D

as we can see that the triangle have angles measuring 30 60 and 90 so we will use the 30-60-90 rule

you can look up the explantion about the rule online

The height of the can of cylinder shape is 9.14 cm.

What is a cylinder?

In mathematics, a cylinder is a three-dimensional solid that maintains two parallel bases separated by a curved surface at a specific distance. These bases frequently have a circular shape (like a circle), and an axis connects their respective centres.

We are given the diameter as 4 cm.

So, the radius is 2cm.

Also, it is given that the surface area of the can is 140 square centimeters.

So, using the surface area of cylinder, we get

⇒Area = 2πr (h + r)

⇒140 = 2π * 2 (h + 2)

⇒140 = 4π (h + 2)

⇒140 = 4 * 3.14 * (h + 2)

⇒140 = 12.56 * (h + 2)

⇒11.14 = h + 2

⇒h = 9.14

Hence, the height of the can of cylinder shape is 9.14 cm.

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Step-by-step explanation:

See the attached for the proof

Answer:

it is too blury to read

Step-by-step explanation:

Answer:

options 2, 3 and 5

Step-by-step explanation:

first of all, because

n²+3n+2n = 6n simplifies to n²+5n = 6n, which simplifies to

n² = n, which is not true for all n not equal to 0 or 1.

option 6 is not a valid reason, as it made a calculation error.

options 1 and 4 make invalid simplifications.

Answer:

100% probability of selecting a sample of 65 one-bedroom apartments and finding the mean to be at least $2,095 per month

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of $2,275 and a standard deviation of $290.

This means that \(\mu = 2275, \sigma = 290\)

Sample of 65:

This means that \(n = 65, s = \frac{290}{\sqrt{65}}\)

Finding the mean to be at least $2,095 per month

This is 1 subtracted by the p-value of Z when X = 2095. So

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{2095 - 2275}{\frac{290}{\sqrt{65}}}\)

\(Z = -5\)

\(Z = -5\) has a p-value of 0.

1 - 0 = 1

100% probability of selecting a sample of 65 one-bedroom apartments and finding the mean to be at least $2,095 per month

Answer:

Starting with the equation:

(x + 1)^2 = 13/4

We can use the square root property, which states that if a^2 = b, then a is equal to the positive or negative square root of b.

Taking the square root of both sides, we get:

x + 1 = ±√(13/4)

Simplifying under the radical:

x + 1 = ±(√13)/2

Now we can solve for x by subtracting 1 from both sides:

x = -1 ± (√13)/2

Therefore, the solutions to the equation are:

x = -1 + (√13)/2 or x = -1 - (√13)/2

Step-by-step explanation:

Answer:

<4  (D)

Step-by-step explanation:

it is the same angle :D

also can you please help me??

The number of ways that 7 new members be chosen if 2 or fewer must be from the Senior class is; 705 ways

The formula for probability combination is;

nCr = n!/(r! * (n – r)!)

where;

n is the total number of items.

r is the number of things that may be selected at one time.

The number of ways that 2 students can be selected from the senior class is;

N(2 students from the SR class) = 3C2 * 10C2 = 135 ways

Similarly;

N(1 student from the SR class) = 3C1 * 10C3 = 360

N(0 students from the SR class) = 3C0 * 10C4 = 210

Thus, number of ways that 7 new members be chosen if 2 or fewer must be from the Senior class is;

135 + 360 + 210 = 705 ways

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The compound inequality that represents the range of the actual weight of the object is 125.4 ≤ w ≤ 126.2.

Part A: The absolute value inequality that describes the range of the actual weight of the object is:

|w - 125.8| ≤ 0.4

Part B: To solve the absolute value inequality, we can break it down into two separate inequalities:

w - 125.8 ≤ 0.4 and - (w - 125.8) ≤ 0.4

Solving the first inequality:

w - 125.8 ≤ 0.4

Add 125.8 to both sides:

w ≤ 126.2

Solving the second inequality:

-(w - 125.8) ≤ 0.4

Multiply by -1 and distribute the negative sign:

-w + 125.8 ≤ 0.4

Subtract 125.8 from both sides:

-w ≤ -125.4

Divide by -1 (note that the inequality direction flips):

w ≥ 125.4

Combining the solutions, we have:

125.4 ≤ w ≤ 126.2

The object is 125.4 ≤ w ≤ 126.2.

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Answer:

None

Step-by-step explanation:

Truly, I'm not sure what type of problem this is, but most people don't favor all the seasons. If there is more to the problem, I would be glad to help further.

Answer:

One possible way to estimate how many people out of 20 would say that they like all seasons is to use a simple random sample. A simple random sample is a subset of a population that is selected in such a way that every member of the population has an equal chance of being included. For example, one could use a random number generator to assign a number from 1 to 20 to each person in the population, and then select the first 20 numbers that appear. The sample would then consist of the people who have those numbers.

Using a simple random sample, one could ask each person in the sample whether they like all seasons or not, and then calculate the proportion of positive responses. This proportion is an estimate of the true proportion of people in the population who like all seasons. However, this estimate is not exact, and it may vary depending on the sample that is selected. To measure the uncertainty of the estimate, one could use a confidence interval. A confidence interval is a range of values that is likely to contain the true proportion with a certain level of confidence. For example, a 95% confidence interval means that if the sampling procedure was repeated many times, 95% of the intervals would contain the true proportion.

One way to construct a confidence interval for a proportion is to use the formula:

p ± z * sqrt(p * (1 - p) / n)

where p is the sample proportion, z is a critical value that depends on the level of confidence, and n is the sample size. For a 95% confidence interval, z is approximately 1.96. For example, if out of 20 people in the sample, 12 said that they like all seasons, then the sample proportion is 0.6, and the confidence interval is:

0.6 ± 1.96 * sqrt(0.6 * (1 - 0.6) / 20)

which simplifies to:

0.6 ± 0.22

or:

(0.38, 0.82)

This means that we are 95% confident that the true proportion of people who like all seasons in the population is between 0.38 and 0.82. Therefore, based on this sample and this confidence interval, we would expect between 8 and 16 people out of 20 to say that they like all seasons in the population.

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Answer:

Here you go. Check attached figure

Step-by-step explanation:

Answer:

W = -2

Step-by-step explanation:

8W + 20 = 4

=> 8W = 4 - 20

=> 8W = -16

=> W = -16 / 8

=> W = -2

Hope it helps :)

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Answer:

Step-by-step explanation:

246(.03)= 7.38

246+7.38= $253.38

The x-coordinate of this point is -1, so cos(5π) = cos(900 degrees) = -1.

The y-coordinate of this point is -1, so sin(-9π/2) = sin(-810 degrees) = -1.

The y-coordinate of this point is 1, so sin(183π/2) = sin(16,470 degrees) = 1.

It should be noted that go find cos(5π), we first need to convert 5π to degrees. We know that π radians is equal to 180 degrees, so 5π radians is equal to 5π × (180/π) = 900 degrees. The x-coordinate of this point is -1, so cos(5π) = cos(900 degrees) = -1.

Also, to find sin(-9π/2), we first need to convert -9π/2 to degrees. We know that π radians is equal to 180 degrees, so -9π/2 radians is equal to -9π/2 × (180/π) = -810 degrees. The y-coordinate of this point is -1, so sin(-9π/2) = sin(-810 degrees) = -1.

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Answer:

Letter A

Step-by-step explanation:

Just think: which number would have the greatest value if it was rounded to the nearest hundredth

Answer: A

Step-by-step explanation:

I think the answer is correct becuase, If we taken all the numbers and put them on a number line they would all be under one. But when we look at the number line we would see that .987 is the closest because it is almost a whole number. And even if we did it without the number line what ever number we see that has the greatest digit and its in the negatives thats the closest to one. (I hope what I said makes sense!)

Hope This Helps!

Answer:

The answer is the first one:  -4 on Edge

Step-by-step explanation:

The y-value of the solution to the system of linear equations given is: A. -4.

Given two linear equations, such as:

4x + 5y = −12 --> Eqn. 1

-2x + 3y = −16 --> Eqn. 2

Multiply eqn. 1 by 2 and eqn. 2 by 4

8x + 10y = −24 --> Eqn. 3

-8x + 12y = −64 --> Eqn. 4

Add to eliminate x

22y = -88

22y/22 = -88/22

y = -4

The y-value of the solution is: A. -4.

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