Fernanda won $675 at the Community Fair. She donated 1/5 of it to the Volunteer Program. How much did she donate to the Program?

Answer:

4

Step-by-step explanation:

it takes 3 to  make a full  so do 12 divide by 3 and thats 4

Answer:

It depends on the person mental state or past. But red often gives the person a sense of danger or fear

Step-by-step explanation:

To find the subtransient current in per unit for a three-phase fault on bus 4, we need to calculate the fault current using the bus impedance matrix.

Given bus impedance matrix Zbus:

| j0.15 j0.08 j0.04 j0.07 |

| j0.08 j0.15 j0.06 j0.09 |

| j0.04 j0.06 j0.13 j0.05 |

| j0.07 j0.09 j0.05 j0.12 |

To find the fault current on bus 4, we need to find the inverse of the Zbus matrix and multiply it by the pre-fault voltage vector.

The pre-fault voltage vector V_pre-fault is given as:

| 1.0/0° |

| 1.0/0° |

| 1.0/0° |

| 1.0/0° |

Let's calculate the inverse of the Zbus matrix:

Zbus_inverse = inv(Zbus)

Now, we can calculate the fault current using the formula:

I_fault = Zbus_inverse * V_pre-fault

Calculating the fault current, we have:

I_fault = Zbus_inverse * V_pre-fault

Substituting the values and calculating the product, we get:

I_fault = Zbus_inverse * V_pre-fault

= Zbus_inverse * | 1.0/0° |

| 1.0/0° |

| 1.0/0° |

| 1.0/0° |

Please provide the values of the Zbus matrix and the pre-fault voltage vector to obtain the specific values for the fault current and the per-unit current from generator 2.

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Question 3: True

Question 4: False

Question 5: True

If the derivative of a function, f'(x), is positive for values of x less than c and negative for values of x greater than c, then it indicates a change in the slope of the function. This change from positive slope to negative slope suggests that the function has a maximum value at x = c.

This is because the function is increasing before x = c and decreasing after x = c, indicating a peak or maximum at x = c.

Question 3: If f'(c) < 0 then f(x) is decreasing and the graph of f(x) is concave down when x = c.

True

When the derivative of a function, f'(x), is negative at a point c, it indicates that the function is decreasing at that point. Additionally, if the second derivative, f''(x), exists and is negative at x = c, it implies that the graph of f(x) is concave down at that point.

Question 4: A local extreme point of a polynomial function f(x) can only occur when f'(x) = 0.

False

A local extreme point of a polynomial function can occur when f'(x) = 0, but it is not the only condition. A local extreme point can also occur when f'(x) does not exist (such as at a sharp corner or cusp) or when f'(x) is undefined. Therefore, f'(x) being equal to zero is not the sole requirement for a local extreme point to exist.

Question 5: If f'(x) > 0 when x < c and f'(x) < 0 when x > c, then f(x) has a maximum value when x = c.

True

If the derivative of a function, f'(x), is positive for values of x less than c and negative for values of x greater than c, then it indicates a change in the slope of the function. This change from positive slope to negative slope suggests that the function has a maximum value at x = c. This is because the function is increasing before x = c and decreasing after x = c, indicating a peak or maximum at x = c.

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Answer:

Step-by-step explanation:

send me money on my cashapp $JacoyaHampton

False. To obtain a representative sample, it is not necessary to sample a large fraction of the population.

The representativeness of a sample depends on its ability to accurately reflect the characteristics and variability of the population it is drawn from. The size of the sample required for representativeness is determined by the level of precision desired and the inherent variability within the population.

Sampling a large fraction of the population, also known as a census, is one way to achieve representativeness, but it is often impractical, time-consuming, and costly. Instead, researchers often use statistical techniques to select a smaller subset of the population that can still provide accurate estimates.

The key factor in obtaining a representative sample is the use of random sampling techniques, such as simple random sampling or stratified sampling, which ensure that every individual in the population has an equal chance of being included in the sample. By using appropriate sampling methods and considering the variability within the population, it is possible to obtain a representative sample without sampling a large fraction of the population.

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The equivalent expression is: \(-x^5 y^3 + 6x^3 y^5\).

Let's simplify the given expression step by step using the given terms:
Expression:

\(3x^3 y^5 + 3x^5 y^3 - (4x^5 y^3 − 3x^3 y^5)\)
Distribute the negative sign outside the parentheses to the terms inside:
\(3x^3 y^5 + 3x^5 y^3 - 4x^5 y^3 + 3x^3 y^5\)
Combine like terms, which are terms that have the same variables raised to the same power:
\((3x^3 y^5 + 3x^3 y^5) + (3x^5 y^3 - 4x^5 y^3)\)
Add or subtract the coefficients of the like terms:
\(6x^3 y^5 - x^5 y^3\)
So, the simplified expression is:
\(6x^3 y^5 - x^5 y^3\)

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Answer:

i think about $3.80

Step-by-step explanation:

Answer: A trend line is a line on a scatter plot, drawn near points, that approximates the association between the data sets.

Step-by-step explanation:

2. The linear trend in precipitation is the dominant trend type. The nonlinear trends occur much less frequently and more widely scattered over the globe. However, the nonlinear trends are credible patterns of change in precipitation.

3. The trend is the component of a time series that represents variations of low frequency in a time series, the high and medium frequency fluctuations having been filtered out. This component can be viewed as those variations with a period longer than a chosen threshold

4. The trend component represents changes in time-series data that are unpredictable and cannot be associated with a seasonal, cyclical, or random component. OB. The trend component is the long-term increase or decrease in a variable being measured over time.

5. The trend is the component of a time series that represents variations of low frequency in a time series, the high and medium frequency fluctuations having been filtered out.

6. The trend component is the long-term increase or decrease in a variable being measured over time.

The article red was titled "sense of emotion of dog and cat to humans"

To visualize the differences in feeling between Dogs and cats towards people, I would think of a dog swaying its tail and hopping up with fervor upon seeing its owner, whereas a cat may approach its owner more calmly and gradually with a loose tail.

I might picture the puppy gasping and looking for physical fondness, whereas the cat may lean toward to be petted or rubbed under the chin.

Dogs show enthusiasm and affection towards owners, while cats exhibit different behaviors. Dogs show excitement through body language like wagging tails, jumping, seeking affection, and vocalizing.

Pets express joy and eagerness to be around humans, with cats being more reserved towards humans. Although affectionate, cats express emotions subtly such as calm body posture and soft chirping.

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Answer:

167°

Step-by-step explanation:

The supplement of an angle will always be the measure of an angle, when added to the original, will equal 180°.

If we know the measure of 1 of these angles, we can easily find the measure of the other, assuming x is the missing angle measure.

\(13+x=180\)

We can subtract 13 from both sides to get the value of x.

\(13+x-13=180-13\\\\x=167\)

Hope this helped!

Answer:

167

Step-by-step explanation:

Supplementary angles add to 180

x+13 = 180

Subtract 13 from each side

x = 180-13

x =167

The supplement to 13 is 167

When the water in the cup is 5 cm deep, the rate at which the water level is rising is \(\mathrm{\frac{32\pi}{25}\;cm/s}\).

A cone is a shape that is made by utilizing a sequence of line segments or lines to join the points on a circular base to a single point, known as the apex or vertex. This shape's volume formula is \(V=\frac{1}{3}\pi r^2h\) where h is the cone's height and r is the cone's radius.

Given that h is 12 cm, r is 3 cm, and the rate is 2 cm³/s.

Using similar triangle rules,

\(\begin{aligned}\frac{h}{r}&=\frac{12}{3}\\\frac{h}{r}&=4\\r&=\frac{1}{4}h\end{aligned}\)

Then, the volume becomes,

\(\begin{aligned}V&=\frac{1}{3}\pi\left(\frac{1}{4}h\right)^2h\\&=\frac{\pi h^3}{48}\end{aligned}\)

The change in volume is written as,

\(\begin{aligned}\frac{dV}{dt}&=\frac{dV}{dh}\times\frac{dh}{dt}\\2&=\frac{dV}{dh}\times\frac{dh}{dt}\\2&=\frac{3\pi h^2}{48}\frac{dh}{dt} \end{aligned}\)

Substituting the height h = 5 cm and rate = 2 cm³/s, we get the rate as,

\(\begin{aligned}2&=\frac{3\pi(5)^2}{48}\frac{dh}{dt}\\2&=\frac{75\pi}{48}\frac{dh}{dt}\\\frac{96\pi}{75}&=\frac{dh}{dt}\\\frac{dh}{dt}&=\mathrm{\frac{32\pi}{25}\;cm/s}\end{aligned}\)

The required answer is \(\mathrm{\frac{32\pi}{25}\;cm/s}\)

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Looking at the sequence 2, 4, 6, 8, 10, ..., we can see that the first element is 2 and each subsequent element is 2 units more than the previous element.

Knowing that, we can write the equations:

Therefore the correct option is A.

Answer:

Step-by-step explanation:

4x + 20 + 2x =90 degree (being perpendicular)

6x + 20=90

6x =90-20

6x =70

x=70/6

x=11.66666667

The probability that the randomly selected racket is wood or defective is 16/25.

To find the probability that the racket is wood or defective, we can calculate the sum of the probabilities of these two events.

Let's denote the event "racket is wood" as W and the event "racket is defective" as D. We are looking for P(W or D).

The probability that the racket is wood can be calculated by dividing the number of wood rackets by the total number of rackets in the sample: P(W) = Number of wood rackets / Total number of rackets = 100 / (100 + 100) = 1/2.

The probability that the racket is defective can be calculated by dividing the number of defective rackets by the total number of rackets in the sample: P(D) = Number of defective rackets / Total number of rackets = (9 + 19) / (100 + 100) = 28/200 = 7/50.

Since we want to find the probability that the racket is wood or defective, we sum the probabilities: P(W or D) = P(W) + P(D) = 1/2 + 7/50 = 25/50 + 7/50 = 32/50 = 16/25.

Therefore, the probability that the randomly selected racket is wood or defective is 16/25.

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The correct interpretation of the 95% confidence interval is that if Peggy were to repeat her sampling process many times and calculate a 95% confidence interval each time

Approximately 95% of those intervals would contain the true population means the height of young women aged 18 to 24 in the US. In other words, we can be 95% confident that the true population means height falls within the interval that Peggy calculated from her sample of 2,000 young women.

The correct interpretation is that there is a 95% chance that the true population mean height falls within the calculated interval.

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The substance that has a mass of 148g and a volume of 40cm³ is   3.7g/cm³

In order to get the substance that has a mass of 148g and a volume of 40cm³, we need to first get the density of the substance.

Density is the ratio of mass per unit volume of a substance

Density = Mass/Volume

Given the following:

Mass = 148g

Volume = 40cm³

Density = 148/40

Density = 3.7g/cm³

Hence the density of the substance is 3.7g/cm³

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The price of phone is stated, taking the price of the phone as p and the discount on sale as 20%

Answer:

0.848p

Step-by-step explanation:

Price of phone = p

Sales tax = 6%

Discount on sale = 20%

With a 20% discount, the discounted price of the phone will be :

100%p - 20%p = 80%p = 0.8p

The sales tax will increase the price thus ;

0.8p + 6% of 0.8p

0.8p + 0.06 * 0.8p

0.8p + 0.048p

The cost of the phone including tax becomes ; (0.8p + 0.048p) = 0.848p

Answer: 2

Step-by-step explanation:

      We will use the slope formula to find the slope of the line going through these two points.

\(\displaystyle \frac{y_{2} -y_{1} }{x_{2} -x_{1} }\)

\(\displaystyle \frac{0-2}{-5--4} =\frac{-2}{-5+4} =\frac{-2}{-1} =2\)

      The slope of this line is 2.

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We need to use the concept of Pythagorean theorem. The value of x in the given triangle is 16.

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry. According to this rule, the areas of the squares on the other two sides add up to the area of the square whose side is the hypotenuse, or the side across from the right angle. This theorem can be expressed as the Pythagorean equation, which is an equation connecting the lengths of the sides a, b, and the hypotenuse c: [1]

a^{2}+b^{2}=c^{2},

So mark the given triangle as ABC in which B is right angled.

AC=24+x

Mark the height of the given triangle as BD and BD=14.

Now using pythagoras theorem,

    (BC)2=(CD)2 + (BD)2

     ⇒(BC)2=(24)2 + (14)2

      ∴(BC)2=772

Now after finding BC we need to find AB using pythagoras theorem.

     (AD)2 +(BD)2 =(AB)2

  ⇒(x)2 + (14)2 =(AB)2 - eq1

  ⇒ (AB)2 + (BC)2 = (24+x)2 - eq2

Substitute eq1 in eq2

⇒(x)2 + (14)2 + (BC)2 =(24+x)2

⇒(x)2 + 576 +772 = 576 + (x)2 + 48x

⇒772=48x

∴x=16.0833

x≈16.

We need to use the concept of Pythagorean theorem. The value of x in the given triangle is 16.

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Answer:

3600

Step-by-step explanation:

Answer:

22<x

Step-by-step explanation:

52-3x<-14

66<3x

(we divide both sides to 3)

22<x

Answer:

i believe the answer is A

Step-by-step explanation:

Answer:

A and B

Step-by-step explanation:

x < 100 means x is less than 100. Therefore, pick any x-values that are less than 100 which are x = 54 and x = 89.

Hence, A and B are the answer.

Answer:

The Measurement of the second triangle would be 4.5, 6, 7.5. and the dilation type is reduction.

Step-by-step explanation: The sizes you have will be multiplied by the dilation factor 0.75.

6*0.75=4.5, 8*0.75=6, 10*0.75=7.5.

Have a good day.

The dilated form of the sides of the triangle is 4.5,6, and 7.5.

Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased. The scale factor is defined as the proportion of the new image's size to that of the previous image. decision-making.

Given that a triangle has sides measuring 6, 8, and 10 cm. Using a dilation factor of 0.75.

The measurement of the second triangle would be 4.5, 6, and 7.5. and the dilation type is reduction.

The sizes you have will be multiplied by the dilation factor of 0.75.

6 x 0.75=4.5,

8 x 0.75=6,

10 x 0.75=7.5.

Therefore, the dilated form of the sides of the triangle is 4.5,6, and 7.5.

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Answer:

0.75 gallons

Step-by-step explanation:

As the statement indicates that Latrell wants the bedroom ceiling to be 85% blue and 15% white and you know that he needs 4.25 gallons of blue which represents the 85%, you can use a rule of three to find the amount that represents the 15% to know the gallons of white that he needs:

4.25 gallons → 85%

          x         ←  15%

x= (4.25*15)/85

x=0.75

According to this, the answer is that if Latrell needs 4.25 gallons of blue, he needs 0.75 gallons of white.

Answer:

No solution

Step-by-step explanation:

Answer:

80 degrees because if you look at 1 its 62 plus 18