can anyone please help? urgenttt

Answer: 15

Step-by-step explanation:

y = 5

3(y) = answer

3(5) = 15.

Answer:

To calculate the cost of painting the top surface of 20 engine parts, we need to find the surface area of one engine part and then multiply it by 20.

To find the surface area, we need to find the length of the curved surface. We can do this by using the Pythagorean theorem to find AB and then use that to find the circumference of the curved surface.

AB^2 = BO^2 + AO^2 = 9 + 36 = 45

AB = sqrt(45) = 3 sqrt(5)

Circumference = 2 * pi * AB = 2 * pi * 3 sqrt(5) = 6 pi sqrt(5)

Using the fact that the reflex angle BÔC is 240 degrees, we can find the length of the curved surface:

240° / 360° = 2/3 of the circumference

Curved surface length = 2/3 * 6 pi sqrt(5) = 4 pi sqrt(5)

Finally, we can find the surface area of one engine part:

Surface area = (2 * 6 * 3) + (4 pi sqrt(5) * 6) = 36 + (24 pi sqrt(5))

To paint 20 engine parts, the cost would be:

20 * surface area * 15p = 20 * 36 + 20 * 24 pi sqrt(5) * 15p = 720 + (24 * 20 * 15 * pi * sqrt(5)) p = 720 + 720 pi sqrt(5) p

Since 1 pound is equal to 100 pence, the cost in pounds would be:

720 + 720 * pi * sqrt(5) / 100 = 720 + 720 * 0.177 / 100 = 720 + 1.264

So, the cost to paint the top surface of 20 engine parts would be 721.264 pounds.

Answer: See explanation

Step-by-step explanation:

You didn't really say what you need to calculate but let me try to help out.

From the question, we are informed that an airport shuttle service charges $15 plus $1.15 per mile and that an equation is written as y=mx+b, where y is the cost for x miles.

The equation can be expressed as:

y = 15 + 1.15x

where,

15 = y intercept and this is the initial fixed cost

1.15 = slope and this is the cost per mile

x = number of miles

As per the given confidence interval, the value of P is lees than significant.

Confidence interval:

In statistics, a range around a measurement that conveys how precise the measurement is referred as confidence interval.

Given,

A precision instrument is guaranteed to read accurately to within 2 units. a sample of four instrument readings on the same object yielded the measurements 353, 351, 351, and 355. find a 90% confidence interval for the population variance.

Here we need to find the assumptions of the given situation,

From the given question we have identified the following,

Reading of instruments = 353, 351, 351, and 355.

Confidence interval = 90% = 0.09

Number of units = 2.

Based on these details, the standard deviation of this temple is 0.7.

So, the Z score is the same as the sample mean minus the population mean divided by the standard error, which is 2.857.

Therefore, P value was less than significant.

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The total segment AE is 46.

"SAS" is when we know two sides and the angle between them.

To solve an SAS triangle we use "The Law of Cosines" to calculate the unknown side.

The Law of Cosines = a² = b² + c² − 2bc cosA

where

'b' and 'c' are two given sides

'A' is the angle between side 'b' and 'c' and

a' is the unknown side which we have to find.

In ΔABC , b=21, c=20, a= AC

By the Cosine law

a² = 21²+20² - 2*21*20 cos90°

a² =441 + 400 - 0 (∵cos 90° =0)

a² = 841

a=√841

a=29= AC.

Now, in ΔCDE, b=8, c=15 and a = CE

By the Cosine law

a² = 8² + 15²- 2*8*15cos90°

a² = 64 + 225 - 0 (∵cos 90° =0)

a²= 289

a = 17 = CE.

AE = AC + CE

AE = 29+17= 46.

Therefore, the total segment AE is 46.

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Answer: Adding and subtracting polynomials are both arithmetic operations used in algebra. The main difference between the two operations is the sign of the terms being combined.

Adding polynomials involves combining like terms by adding their coefficients. When adding polynomials, the terms being added have the same sign. For example, when adding the polynomials x^2 + 2x + 1 and 3x^2 + 4x + 2, we combine the like terms (x^2 terms, x terms, and constant terms) by adding their coefficients:

(x^2 + 2x + 1) + (3x^2 + 4x + 2) = 4x^2 + 6x + 3

Subtracting polynomials involves subtracting one polynomial from another by changing the sign of each term in the polynomial being subtracted and then adding the resulting polynomials. When subtracting polynomials, the terms being subtracted have opposite signs. For example, when subtracting the polynomial 3x^2 + 4x + 2 from the polynomial x^2 + 2x + 1, we first change the sign of each term in the polynomial being subtracted:

(x^2 + 2x + 1) - (3x^2 + 4x + 2) = x^2 + 2x + 1 - 3x^2 - 4x - 2

Then, we combine the like terms by adding their coefficients:

x^2 -  x - 1

In summary, the main difference between adding and subtracting polynomials is that adding involves combining like terms with the same sign, while subtracting involves changing the sign of one polynomial and then adding the resulting polynomials.

Step-by-step explanation:

The mistake which Dennis made include the following: B. he didn't exclude x = 3, which makes the denominator in the original expression equal to zero.

In Mathematics, a rational expression simply refers to a type of expression  which is expressed as a fraction. This ultimately implies that, a rational expression is composed of two (2) main parts and these include the following:

Generally speaking, the excluded values of any rational expression simply refers to the values for which the expression is undefined, which is typically obtained when the denominator is equal to zero (0).

Rational expression = (x² - 6x + 0)/(x² + x - 12)

When x = 3, we have the following expression:

Rational expression = (x² - 6x + 0)/(3² + 3 - 12)

Rational expression = (x² - 6x + 0)/(9 + 3 - 12)

Rational expression = (x² - 6x + 0)/0

Rational expression = undefined.

Therefore, excluded values are x ≠ 3 and 4.

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Answer: 185.7 miles

Step-by-step explanation:

To find the total distance, add the smaller distances together.

47.8 + 72 + 65.9 = 185.7

Answer:

Length & Breadth could be : 4 meters , 5 meters

Step-by-step explanation:

Border, ie perimeter measurement of Rectangle = 2 ( Length + Breadth )

So, 2 (Length + Breadth) = 18

Length + Breadth = 18 / 2

Length + Breadth  = 9

So, sum of length & breadth must be = 9.

(L, B) = (2,5) ; (2,8) ; (2,9) and (3,5) ; (3,8) ; (3,9) don't satisfy this condition. (4,5) ; (4,8) also don't.

(L, B) = (4,5) satisfy it. As sum 4 + 5 = 9.

Answer:

let the complementary angle be x

51.1°+x=90°

x=90°-51.1°

x=38.9°

Answer:

Step-by-step explanation:

1. Write the equation.

y = -2x

y = 5x - 21

2. Substitute the values.

(-2x) = 5x - 21

3. Solve the equation.

-2x = 5x - 21

-5x    - 5x

-7x = -21

4. Both negatives cancel

7x = 21

5. Divide both sides by 7

7x = 21

/7      /7

6. x = 3

7. Check the answer.

-2(3) = 5(3) - 21

-6 = 15 - 21

-6 = -6

Hope this helped,

Kavitha

P.S Sorry for taking so long.

Step-by-step explanation:

In order to calculate the height (distance BC in the diagram) you need to know the distance from point D (the closer of the two measurement points to the kite) to the point directly under the kite, B. Once you know this distance then multiplying this by the tangent of angle b will give you the height.

Answer:

He would need 3.3 gallons

Step-by-step explanation:

1 gallon = 128 ounces

35 * 5 = 420

420 / 128 = 3.28

Answer:I think it’s B

Step-by-step explanation:

If I get this wrong i’m sorry

To solve this problem, we can use the fact that the sum of the degrees of all vertices in a simple undirected graph is equal to twice the number of edges, Let V be the number of vertices in the graph. We know that 2 of the vertices have degree 4, so the sum of the degrees of all vertices.

However, since the number of vertices in a graph must be a whole number, this answer is not possible. Therefore, there is no simple undirected graph with 10 edges, 2 vertices of degree 4, and the rest of the vertices of degree 3.
Let's solve the problem step by step:

1. In an undirected graph, each edge connects two vertices. Therefore, the sum of the degrees of all vertices is equal to twice the number of edges.

2. In this case, there are 10 edges, so the sum of the degrees of all vertices is 20.

3. Two vertices are of degree 4, so their total degree is 4 * 2 = 8.

4. Let the number of vertices with degree 3 be x. Since the sum of degrees is 20, we can write an equation:
8 + 3x = 20

5. Solve the equation for x:
3x = 12
x = 4

6. Since there are 2 vertices of degree 4 and 4 vertices of degree 3, the total number of vertices in the graph is 2 + 4 =

So, there are 6 vertices in this undirected graph.

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If Dante works as a tutor for 13 an hour and as a waiter for 11 an hour. This month, he worked a combined total of 106 hours at his two jobs. The expression for the combined total dollar amount he earned this month is: 1,166 - 2t.

t= Number of hours Salma worked as a tutor

w=number of hours Salma worked as a waiters

Total hours work is 106 hours

Hence,

t + w = 106 => w = 106 - t

So,
Expression for the combined total dollar amount:

13t + 11w

=13t + 11×(106 - t)

=13t + 1,166 - 11t

= 1,166 - 2t

Therefore If Dante works as a tutor for 13 an hour and as a waiter for 11 an hour. This month, he worked a combined total of 106 hours at his two jobs. The expression for the combined total dollar amount he earned this month is: 1,166 - 2t.

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Answer:

True

Step-by-step explanation:

2x + 14y - y  = 2x + 13y

Have a good day :)

Answer:

true

Step-by-step explanation:

Distribute the 2 to the x and 7y. your equation will nob be 2x+14y-y=2x+13. so combine the like terms, 14y and -y, so you get 13y. you now have 2x+13y=2x+13y. which is true

The probability is approximately 0.3925 or 39.25%.

What is Normal distribution?

The normal distribution, also known as the Gaussian distribution, is a continuous probability distribution that is symmetric and bell-shaped. It is characterized by its mean (μ) and standard deviation (σ), which determine the location and spread of the distribution, respectively.

To find the probability that the mean weight of 24 randomly picked fruits falls between 791 grams and 795 grams, we can use the Central Limit Theorem.

The Central Limit Theorem states that the sampling distribution of the sample mean approaches a normal distribution, regardless of the shape of the population distribution, as the sample size increases.

Given that the population distribution of the fruit weights is normally distributed with a mean of 794 grams and a standard deviation of 21 grams, we can consider the sample mean of 24 fruits as approximately normally distributed.

To calculate the probability, we need to standardize the values using the standard deviation of the sample mean. The standard deviation of the sample mean (also known as the standard error) can be calculated by dividing the population standard deviation by the square root of the sample size. In this case, the standard error is 21 / √24 ≈ 4.30 grams.

Next, we can calculate the z-scores for the lower and upper limits of the desired range:

Lower z-score: (791 - 794) / 4.30 ≈ -0.70

Upper z-score: (795 - 794) / 4.30 ≈ 0.23

Now, we can find the cumulative probability associated with these z-scores using a standard normal distribution table or a statistical software.

Using a standard normal distribution table or calculator, the probability that the mean weight of the 24 randomly picked fruits falls between 791 grams and 795 grams is approximately:

P(-0.70 < Z < 0.23) ≈ 0.3925

Therefore, the probability is approximately 0.3925 or 39.25%.

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The computed value of the test statistic is 2.94.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

We have a sample size of n = 12, engine size (x) and emissions (y) are the two variables being correlated, and the sample correlation coefficient is r = 0.47.

The null hypothesis is that the population correlation is zero (H0: ρ = 0) and the alternative hypothesis is that the population correlation is positive (Ha: ρ > 0).

To compute the test statistic, we need to first calculate the degrees of freedom (df), which is (n-2) = 10 in this case.

We can then use the formula for the test statistic, which is:

t = (r√(df)) / √1 - r²

Substituting the values we have, we get:

t = (0.47 √10) / √(1 - 0.47²)

t = 2.94

Therefore, the computed value of the test statistic is 2.94.

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A block hangs in equilibrium from a vertical spring. The equilibrium position sags by 6.00 cm when adding a second identical block. The oscillation frequency of the two-block system is approximately 1.44 Hz.

To find the oscillation frequency of the two-block system, we can use Hooke's Law and the formula for the frequency of simple harmonic motion.

Hooke's Law states that the force exerted by a spring is directly proportional to the displacement from its equilibrium position. Mathematically, it can be expressed as:

F = -kx

where F is the force applied by the spring, k is the spring constant, and x is the displacement from the equilibrium position.

In the equilibrium position, the force exerted by the spring is balanced by the weight of the block(s), resulting in zero net force. Thus, we have:

mg = kx_eq

where m is the mass of one block, g is the acceleration due to gravity, and x_eq is the equilibrium displacement of the spring.

When a second identical block is added, the total mass becomes 2m. The equilibrium displacement increases to 2x_eq due to the additional weight. We are given that the equilibrium position sags by 6.00 cm, so we have:

2mg = k(2x_eq)

2mg = 4kx_eq

Dividing both sides by 2m, we get:

g = 2kx_eq / m

The angular frequency (ω) of the two-block system can be calculated using the formula:

ω = √(k / m)

The oscillation frequency (f) can be calculated as:

f = ω / (2π)

To find the oscillation frequency, we need to find k/m. From the equation above, we have:

k/m = (g / 2x_eq)

Substituting the given values, g = 9.8 m/s² and x_eq = 6.00 cm = 0.06 m:

k/m = (9.8 m/s²) / (2 * 0.06 m)

k/m = 81.67 N/m

Now, we can calculate the angular frequency and the oscillation frequency:

ω = √(81.67 N/m / m) = √(81.67 s⁻²) ≈ 9.04 rad/s

f = ω / (2π) ≈ 9.04 rad/s / (2π) ≈ 1.44 Hz

Therefore, the oscillation frequency of the two-block system is approximately 1.44 Hz.

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There is a 76% chance that a student chosen at random from this class will have both a cat and a dog.

There are 15 students who have cats and 16 who have dogs. Thus, if a student is chosen at random, there are 15 + 16 = 31 students who could have either a cat or a dog. And the remaining 3 students have neither a cat nor a dog. Thus, there are 25 – 3 = 22 students in total who have either a cat or a dog. To find the probability that a student chosen at random has both a cat and a dog, we can use the formula:P(cat and dog) = (number of students with both cat and dog) / (total number of students)Therefore, we need to find the number of students who have both a cat and a dog. This can be done by subtracting the number of students who don’t have either a cat or a dog (3) from the total number of students who have either a cat or a dog (22).number of students who have both cat and dog = 22 – 3 = 19Therefore, the probability that a student chosen at random has both a cat and a dog is:P(cat and dog) = 19/25 = 0.76 or 76%Thus, there is a 76% chance that a student chosen at random from this class will have both a cat and a dog.

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The sum of the coefficients in the expanded expression (2x - 1)⁴ is 1.

To expand the expression (2x - 1)⁴ we can use the binomial expansion formula.

The formula states that for a binomial expression (a + b)ⁿ, the expanded form can be found using the following pattern:

(a + b)ⁿ = C(n, 0) × aⁿ × b⁰ + C(n, 1) × a⁽ⁿ⁻¹⁾ × b¹ + C(n, 2) × a⁽ⁿ⁻²⁾ × b² + ... + C(n, n-1) × a¹ × b⁽ⁿ⁻¹⁾ + C(n, n) × a⁰ × bⁿ,

where C(n, k) represents the binomial coefficient, which is the number of ways to choose k items from a set of n items.

Applying this formula to (2x - 1)⁴, we have:

(2x - 1)⁴ = C(4, 0) × (2x)⁴ × (-1)⁰ + C(4, 1) × (2x)³ × (-1)¹ + C(4, 2) × (2x)² × (-1)² + C(4, 3) × (2x)¹ × (-1)³ + C(4, 4) × (2x)⁰ × (-1)⁴.

Let's simplify each term:

C(4, 0) = 1,

C(4, 1) = 4,

C(4, 2) = 6,

C(4, 3) = 4,

C(4, 4) = 1.

Now, we can simplify the expression further:

(2x - 1)⁴ = 1 × (2x)⁴ × 1 + 4 × (2x)³ × (-1) + 6 × (2x)² × 1 + 4 × (2x)¹ × (-1) + 1 × (2x)⁰ × 1.

Expanding and simplifying each term:

(2x)⁴ = 16x⁴,

(2x)³ = 8x³,

(2x)² = 4x²,

(2x)¹ = 2x,

(2x)⁰ = 1.

Substituting the simplified terms:

(2x - 1)⁴ = 16x⁴ - 4 × 8x³ + 6 × 4x² - 4 × 2x + 1.

Now, let's find the sum of the coefficients, which is the sum of the numerical coefficients in front of each term:

Sum of coefficients = 16 - 4 × 8 + 6 × 4 - 4 × 2 + 1

= 16 - 32 + 24 - 8 + 1

= 1.

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The study has a confounding variable since the two groups differ in the time they were supposed to report to the testing room. Since the groups differed in terms of sleep deprivation and the time they were supposed to report to the testing room, the effect of sleep deprivation on learning could not be isolated.

The statement that is true is: d. All of these are true.Explanation:A study may have various sources of variability, including participant selection, the setting in which the study is conducted, and the measure used. The following options are as follows:a. The study may be affected by a situational variable.b. The construction noise may contribute to variability in test scores.c. The study has a confounding variable. The groups differ in the time they are to report to the testing room.d. All of these are true.Therefore, all of these options are true. For example, the study may be affected by a situational variable if a natural disaster or other unforeseen event happens that causes the study to be disrupted. In this case, the study was disrupted by a noisy construction crew, which may have contributed to variability in test scores. The study has a confounding variable since the two groups differ in the time they were supposed to report to the testing room. Since the groups differed in terms of sleep deprivation and the time they were supposed to report to the testing room, the effect of sleep deprivation on learning could not be isolated.

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Answer:

Change in Y over change in X. So down 8 and over 2. Simplified it would be 4/1

From the above-mentioned data, it can be inferred that: When the price of good 1 decreases, the substitution effect causes the individual to change consumption of good 1 by 10 while the income effect causes the individual to change consumption of good 1 by −6.

The total effect can be calculated as the sum of both substitution and income effects. The total effect = substitution effect + income effect= 10 - 6= 4Thus, the total effect is 4.Now, to determine whether good 1 is normal or inferior, we need to consider the sign of the income effect.

If the income effect is negative, the good is inferior, and if it's positive, the good is normal.Since the income effect here is negative (-6), we can conclude that good 1 is inferior.

According to the given data, we can calculate the total effect, which is the sum of the substitution and income effects.  The substitution effect refers to the change in consumption of a good due to the relative price change, while the income effect refers to the change in consumption of a good due to the purchasing power change.  when the price of good 1 decreases, the substitution effect causes the individual to change consumption of good 1 by 10, while the income effect causes the individual to change consumption of good 1 by −6. Therefore, the total effect can be calculated as the sum of both substitution and income effects, which is 10 - 6 = 4.From the data, it can also be determined whether good 1 is normal or inferior. A good is considered normal when its income effect is positive and inferior when its income effect is negative. Since the income effect here is negative (-6), it can be concluded that good 1 is inferior.Thus, the total effect is 4, and good 1 is inferior.

The total effect is 4, and good 1 is inferior.

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The solution of the given differential equation is e^v = x + C.

A differential equation is a mathematical equation that relates a function to its derivatives. It involves one or more unknown functions and their derivatives with respect to one or more independent variables. Differential equations are used to model and describe a wide range of phenomena in various scientific fields, including physics, engineering, economics, and biology.

Given the differential equation: dy/dx = e^v,

where v is a function of y.

It is given that the given differential equation is separable and can be written in the form of e^{-v}dy = dx.

However, the expression on the left hand side cannot be integrated in terms of elementary functions.

To evaluate this, we need to make use of the following property of integration.

∫e^(f(x))f'(x) dx = e^(f(x)) + C

The left hand side can be rewritten as e^v dv/dy.

We can substitute v in terms of y, i.e., v = g(y), where g(y) is some function of y.

This gives us dv/dy = g'(y)

Substituting these values, the given differential equation can be written as:

e^(g(y))g'(y)dy = dx

Integrating both sides with respect to y, we get:

e^(g(y)) = x + C

Where C is the constant of integration.

Therefore, the solution of the given differential equation is e^v = x + C.

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