In which quadrant does 0 lie if the following statements are true: cos 0 > and sin> 0

Answer:

3x³ + 12x

Step-by-step explanation:

3x(x² + 4)

3x³ + 12x

The ratio of the length of a piece of metal pipe to the length of a piece of plastic tubing is,

⇒ 1 : 8

We have to given that;

He used 1/3 yard of metal pipe divided into 4 equal pieces, and 2 yards of plastic tubing divided into 3 equal pieces.

Hence, Length of piece of metal pipe = 1/4×3 = 1/12

And, length of a piece of plastic tubing is, 2 / 3

So, The ratio of the length of a piece of metal pipe to the length of a piece of plastic tubing is,

⇒ (1/12) : (2/3)

⇒ (1/12) x (3/2)

⇒ 1/8

⇒ 1 : 8

Thus, The ratio of the length of a piece of metal pipe to the length of a piece of plastic tubing is,

⇒ 1 : 8

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This subtraction will give you the answer.

Answer:

8.5 feet

Step-by-step explanation:

632.5-12= 620.5

620.5/73=8.5

Answer:

no

Step-by-step explanation:

A: 360 -150 = 210 * (1+7%) = 224.7

B: 360 * 1.07  -150 =385.2 -150 =235.2

a) The predictor variable is Drop in units of feet and the response variable is duration in units of seconds.

b) The units of the slope is seconds per foot.

c) The slope is probably negative because a taller drop height typically leads to a longer ride duration.

a) The predictor variable in this regression is Drop, which represents the drop height in feet of the roller coasters, and its units are feet. The response variable is Duration, which represents the duration of the ride in seconds, and its units are seconds.

b) The units of the slope in this regression are seconds per foot. This means that for every one unit increase in the drop height in feet, the duration of the ride increases or decreases by the value of the slope, measured in seconds per foot.

c) The slope is probably negative because a taller drop height typically leads to a longer ride duration, and the Tower of Terror coaster, with its unusually short duration despite a large drop height, has been removed from the analysis.

Therefore, the remaining 90 coasters in the dataset would likely exhibit a negative relationship between drop height and duration, meaning that as the drop height increases, the duration of the ride decreases.

The low R-squared value of 29.4% suggests that there is a lot of variability in the relationship between drop height and ride duration among the roller coasters in the dataset, but the negative slope indicates a generally decreasing trend.

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The algebraic expression of double a then subtract 7 from the result is 7 - 2a

From the question, we have the following parameters that can be used in our computation:

double a then subtract 7 from the result

The "double a" can be represented as 2a

So, we have the following representation

Subtract 2a from 7

subtraction means Minus i.e. 0

So, we have

7 - 2a

Hence, the expression is 7 - 2a

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The F value (1.617) is greater than the critical value of F (1.547), we reject the null hypothesis that the population variances are equal.

To test whether the population variances are equal, we can use the F-test. The null hypothesis is that the population variances are equal, and the alternative hypothesis is that they are not equal.

The test statistic for the F-test is:

F = s₁² / s₂²

where s₁² is the sample variance of the first population and s₂² is the sample variance of the second population.

Under the null hypothesis that the population variances are equal, the F statistic follows an F distribution with (n1-1) degrees of freedom in the numerator and (n2-1) degrees of freedom in the denominator, where n1 and n2 are the sample sizes of the two samples.

In this case, n1 = n2 = 40, so we have (40-1) = 39 degrees of freedom in the numerator and (40-1) = 39 degrees of freedom in the denominator.

Substituting the given values, we get:

F = (8² / 6.5²) = 1.514

The critical value of F at a significance level of 5% with 39 degrees of freedom in the numerator and 39 degrees of freedom in the denominator is 1.514.

We can conclude that there is sufficient evidence to suggest that the population variances are not equal.

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Answer:

2x+y=4

2times-1 is -2

2x+-2=4

2x=4

x=2

Answer:

540 degrees (interior angles)

Step-by-step explanation:

Answer:

because they have straight lines and they are regular

Step-by-step explanation:

Answer:  180(n-2)

You use the distribution rule to factor

The distribution rule is a(b+c) = a*b+a*c

This stage of group development is known as forming.

The group development process is a series of stages that a group goes through as they form, develop, and eventually come to an end. The first stage of this process is known as forming. During this stage, group members are getting to know each other and trying to establish common goals and a shared understanding of how the group will operate. They may be polite and reserved, as they are still trying to feel out the dynamics of the group.

Once the group has established its purpose and members have a sense of what is expected of them, they move into the norming stage. During this stage, group members begin to work together more closely and develop norms for behavior and communication. They may start to form stronger relationships with each other and trust begins to build.

The third stage of group development is storming. During this stage, conflicts may arise as group members struggle for power and influence. There may be disagreements about how the group should function or how tasks should be completed. However, if the group is able to work through these conflicts, they will move on to the next stage of development.

The final stage of group development is adjourning. During this stage, the group comes to an end. This may be due to the completion of a task or project, or it may be due to other reasons, such as members leaving the group or the group disbanding. During this stage, members may reflect on their accomplishments and evaluate the group's overall success.

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From the given sample data in the table on the backpack weight, we have;

(a) The means of the samples are;

(b) The range is 0.25

(c) The true statements are;

(a) The sample means of each of each of the three samples are found as follows;

\(Mean = \frac{ \sum \: x}{n} \)

Where;

x = The value of a data point

\( \sum \: x = Sum of the data \)

n = Sample size

The mean of the first sample, S1, data is therefore;

\(Mean \: S1 = \frac{3 + 7 + 8 + 3 + 7 + 9 + 6 + 8}{8} \)

3+7+8+3+7+9+6+8 = 51

Which gives

\(Mean \: S1 = \frac{51}{8} = \mathbf{6.375\\)

Similarly, we have;

\(Mean \: S2 = \frac{8 + 6 + 4 + 7 + 9 + 4 + 6 + 7}{8} \)

8 +6+4+7+9+4+6+7 = 51

Which gives;

\(Mean \: S2 = \mathbf{\frac{51}{8}} = 6.375 \)

Mean of the second sample = 6.375

\(Mean \: S3 = \frac{9 + 4 + 5 + 8 + 7 + 5 + 9 + 6}{8} \)

9+4+5+8+7+5+9+6 = 53

Which gives;

\(Mean \: S3 = \frac{53}{8} = \mathbf{6.625} \)

(b) The range of the means of the sample means is found as follows;

Range = Largest value - Smallest value

Which gives;

(c) The population mean is given by the mean of the sample means. That is, a very good estimate of the sample mean is given by the mean of the sample means.

The true statements are therefore;

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It would take the fastest car on earth approximately 20.27 minutes to travel 257 miles.

We can calculate the time it takes for the fastest car on earth to travel 257 miles by determining its speed and then dividing the distance to be traveled by the speed.

First, let's determine the speed of the car. The car can travel 380 miles in 0.5 hours, so its speed is:

Speed = Distance / Time = 380 miles / 0.5 hours = 760 miles per hour

Next, we need to convert the speed from miles per hour to miles per minute, so we can use it to calculate the time it takes to travel 257 miles. To do this, we divide the speed by 60:

Speed in miles per minute = 760 miles per hour / 60 minutes per hour = 12.67 miles per minute

Finally, we can calculate the time it takes to travel 257 miles by dividing the distance to be traveled by the speed:

Time = Distance / Speed = 257 miles / 12.67 miles per minute = 20.27 minutes

So it would take the fastest car on earth approximately 20.27 minutes to travel 257 miles.

Therefore, It would take the fastest car on earth approximately 20.27 minutes to travel 257 miles.

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It would take the fastest car on earth approximately 20.27 minutes to travel 257 miles.

We can calculate the time it takes for the fastest car on earth to travel 257 miles by determining its speed and then dividing the distance to be traveled by the speed.

First, let's determine the speed of the car. The car can travel 380 miles in 0.5 hours, so its speed is:

Speed = Distance / Time = 380 miles / 0.5 hours = 760 miles per hour

Next, we need to convert the speed from miles per hour to miles per minute, so we can use it to calculate the time it takes to travel 257 miles. To do this, we divide the speed by 60:

Speed in miles per minute = 760 miles per hour / 60 minutes per hour = 12.67 miles per minute

Finally, we can calculate the time it takes to travel 257 miles by dividing the distance to be traveled by the speed:

Time = Distance / Speed = 257 miles / 12.67 miles per minute = 20.27 minutes

So it would take the fastest car on earth approximately 20.27 minutes to travel 257 miles.

Therefore, It would take the fastest car on earth approximately 20.27 minutes to travel 257 miles.

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After 20 years, the wetland will have decreased in area by 20/5 = 4 times.

If the area has decreased by a sixth every 5 years, it will decrease by 4/6 = 2/3 after 20 years.

Therefore, the percent of the total area that disappears after 20 years is 2/3 = 66.67%.

Rounding to two decimal places, the answer is 66.67%.

(a) The DFT of [0,1,0,-1] is [0, 0, 4i, 0].

(b) The DFT of [1,1,1,1] is [4, 0, 0, 0].

(c) The DFT of [0,-1,0,1] is [0, 0, 4, 0].

(d) The DFT of [0,1,0,-1,0,1,0,-1] is [0, 0, 0, 0, 8i, 0, 0, 0].

(a) For calculate the DFT of [0,1,0,-1], we use the formula:

X[k] = Σn=0 to N-1 x[n] \(e^{-2\pi ikn/N}\)

where N is the length of the input vector (in this case, N=4) and k is the frequency index.

Plugging in the values, we get:

X[0] = 0 + 0 + 0 + 0 = 0

X[1] = 0 + 1\(e^{-2\pi i/4}\) + 0 + (-1) \(e^{-2\pi i/4}\)= 0 + i - 0 - i = 0

X[2] = 0 + 1 \(e^{-2\pi i/2}\)+ 0 + (-1) \(e^{-2\pi i/2}\) = 0 - 1 - 0 + 1 = 0

X[3] = 0 + 1 ) + \(e^{-6\pi i/4}\)0 + (-1)\(e^{-6\pi i/4}\)= 0 - i - 0 + i = 0

Therefore, the DFT of [0,1,0,-1] is [0, 0, 4i, 0].

(b) To calculate the DFT of [1,1,1,1], using the same formula, we get:

X[0] = 1 + 1 + 1 + 1 = 4

X[1] = 1 + \(e^{-2\pi i/4}\) + \(e^{-4\pi i/4}\) + \(e^{-6\pi i/4}\) = 1 + i + (-1) + (-i) = 0

X[2] = 1 + \(e^{-4\pi i/4}\) + 1 + \(e^{-4\pi i/4}\) = 2 + 2cos(π) = 0

X[3] = 1 + \(e^{-6\pi i/4}\)+ \(e^{-4\pi i/4}\) + \(e^{-2\pi i/4}\)= 1 - i + (-1) + i = 0

Therefore, the DFT of [1,1,1,1] is [4, 0, 0, 0].

(c) For [0,-1,0,1], the DFT using the same formula is:

X[0] = 0 - 1 + 0 + 1 = 0

X[1] = 0 +\(e^{-2\pi i/4}\) + 0 + \(e^{-6\pi i/4}\) = 0 + i - 0 - i = 0

X[2] = 0 - \(e^{-4\pi i/4}\) + 0 + \(e^{-4\pi i/4}\) = 0

X[3] = 0 + \(e^{-6\pi i/4}\)- 0 + \(e^{-2\pi i/4}\) = 0 - i - 0 + i = 0

Therefore, the DFT of [0,-1,0,1] is [0, 0, 4, 0].

(d) Finally, for [0,1,0,-1,0,1,0,-1], using the same formula, we get:

X[0] = 0 + 1 + 0 - 1 + 0 + 1 + 0 - 1 = 0

X[1] = 0 + \(e^{-2\pi i/8}\) + 0 - \(e^{-6\pi i/8}\) + 0 + \(e^{-10\pi i/8}\) + 0 - \(e^{-14\pi i/8}\) = 0 + i - 0 - i + 0 + i - 0 - i = 0

X[2] = 0 + \(e^{-4\pi i/8}\) + 0 +\(e^{-12\pi i/8}\)) + 0 + \(e^{-20\pi i/8}\left\) + 0 + \(e^{-28\pi i/8}\) = 0 - 1 - 0 + 1 + 0 - 1 - 0 + 1 = 0

X[3] = 0 + \(e^{-6\pi i/8}\)  + 0 -  \(e^{-18\pi i/8}\) + 0 +\(e^{-30\pi i/8}\) + 0 -  \(e^{-42\pi i/8}\)  = 0 - i - 0

So,  The DFT of [0,1,0,-1,0,1,0,-1] is [0, 0, 0, 0, 8i, 0, 0, 0].

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Answer:

The answer is 61.71

Step-by-step explanation:

give me brainliest if you thin my answers good plssss

Answer:

61.71

Step-by-step explanation:

Answer:

See below ..... need width of plate to complete and units of density

Step-by-step explanation:

Convert all of the measurements to  common metric units

12 inches = 30.48 cm  

25.5 mm = 2.55 cm

weight= 30.48  *  2.55    *  width   *   7.85     units

Need WIDTH of the plate in cm    and the  mass units of density

Step-by-step explanation:

27.8953 kg is the answer

As a result, the horizontal component of velocity has a magnitude of 11.8 m/s\ while the vertical component of velocity has a value of 8.0 m/s.

The pace at which an item changes its position is described by a vector quantity called velocity. It is described as the rate at which displacement changes in relation to time The amount and direction of velocity are both present. Speed refers to the velocity's magnitude.

The football's velocity in this scenario is 32 miles per hour, or around 14.3 meters per second.

We can use trigonometry to determine the sizes of a velocity vector's horizontal and vertical components.

Vₓ = V cos (theta), where V is the magnitude of the velocity vector and theta is the angle that the velocity vector makes with the horizontal axis, gives the horizontal component of velocity.

Vy = V sin (theta), where V is the magnitude of the velocity vector and theta is the angle that the velocity vector makes with the horizontal axis, gives the vertical component of velocity.

In this instance, we are aware of the football's velocity, which is 32 miles per hour, or around 14.3 meters per second6. It makes a 34 degree 6 angle with the ground.

Therefore,

Vₓ= V cos (theta) * cos (34 degrees) = 14.3 m/s * 11.8 m/s

Vy = V sin (theta) * sin (34 degrees) = 14.3 m/s * 8.0 m/s

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Answer:

16.31 kg.

Step-by-step explanation:

2.33 * 7

The amount of paint needed to apply a coat of paint is 1.00 m³.

Given:

a coat of paint 0.06 cm thick to a hemispherical dome with diameter 40 m.

we are asked to  estimate the amount of paint needed to apply a coat of paint.

The amounts

Volume of a hemisphere, V = (2/3)πr³

r = 40/2

= 20 m

dr = 0.04 cm = 0.0004 m

dV≈2πr²dr

= 2π(20)²(0.0004) m³

=  1.0048 m³

rounding it of to two decimal places.

= 1.00 m³

Hence the amount of paint needed is 1.00 m³

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The value of x which will make the equation 8 + x = 32 true will be 24 thus, option (B) is correct.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

The equation must be constrained with some constraints.

As per the given equation,

8 + x = 32

Put x = 4

8 + 4 = 12 ≠ 32

Put x = 24

24 + 4 = 32 (so it will be the solution)

Hence "The value of x which will make the equation 8 + x = 32 true will be 24".

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Answer:

Step-by-step explanation:

Resolvemos usando la fórmula de puntuación z

z = (x-μ) / σ, donde

x es la puntuación bruta

μ es la media poblacional = 70 kg

σ es la desviación estándar de la población = 3 kg

a) Entre 60 y 75 kg

Para x= 60kg

z = 60 - 70/3 kg

=-3.33333

Valor de probabilidad de la tabla Z:

P(x = 60) = 0.00042906

Para x = 75 kg

z = 75 - 70/3 kg

= 1.66667

Valor de probabilidad de la tabla Z:

P(x = 75) = 0.95221

P(x = 75) - P(60)

0.95221 - 0.00042906

b) Más de 90 kg

Para x> 90 kg

z = 90 - 70/3

= 6.66667

Valor de probabilidad de la tabla Z:

P (x <90) = 1

P (x> 90) = 1 - P (x <90) = 0

Número de árboles = 500

Por tanto, 500 × 0 = 0 árboles

c) Menos de 64 kg

x <64 kg

z = 64 - 70/3 kg

= -2

Valor de probabilidad de Z-Table:

P (x <64) = 0,02275

Hay 500 arboles

= 500 × 0.02275

= 11.375 árboles

D) 64 kilogramos

x = 64 kg

z = 64 - 70/3 kg

= -2

Valor de probabilidad de Z-Table:

P (x = 64) = 0,02275

Hay 500 arboles

= 500 × 0.02275

= 11.375 árboles

The patch of lily pads would cover 1/4 of the lake on Day 0, or in other words, it would cover 1/4 of the lake immediately.

Since the patch of lily pads doubles in size every day, we can determine the number of doubling steps required to cover the entire lake by finding the logarithm base 2 of the final size.

Let's denote the initial size of the lily pad patch as 1 unit (on Day 0). On Day 96, the patch covers the entire lake, which is its final size.

Let N represent the number of doubling steps needed to reach the final size. We can express this mathematically as

\(2^{N}\) = Final Size

In this case, the final size is equal to the entire lake, so we have

\(2^{N}\) = Lake Size

Since the patch doubles in size every day, we can express the Lake Size as 2^(N-1) units on the previous day (Day 95). This means that on Day 95, the patch covered half of the lake.

To find the number of doubling steps required to cover 1/4 of the lake, we need to determine when the patch reaches half the size of the lake (Day 95), and then subtract the number of doubling steps required to reach 1/4 of the size.

Let's calculate the number of doubling steps required to reach 1/4 of the lake:

1/4 of Lake Size = \(2^{N-2}\) units (on Day 94)

Since the patch doubles in size every day, on Day 94, the patch covers 1/4 of the lake.

To find N, we can take the logarithm base 2 of both sides:

log₂(1/4) = log₂(\(2^{N-2}\) )

Using the logarithmic property, we can bring down the exponent

-2 = (N - 2) log₂(2)

Simplifying the equation

-2 = (N - 2) * 1

-2 = N - 2

N = 0

Therefore, the patch of lily pads would cover 1/4 of the lake on Day 0, or in other words, it would cover 1/4 of the lake immediately.

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Answer:

you would use distributive property to distribute 3 to x and -4

Step-by-step explanation:

Answer:

Exact Form:

x= −15/8

Decimal Form:

x=− 1.875

Mixed Number Form:

x= -1(7)/(8)

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Therefore,

substitute the values of x in the equations

Therefore,

(1, 6) (-1, 1)