Use the direction and magnitude provided to resolve the horizontal and vertical components of vector v. Round to the nearest hundredth (if necessary). 240° counterclockwise from east with |v|= 7 135º counterclockwise from east with |v| = √17

Answer:

144m^3

Step-by-step explanation:

The width of Ben's Barbershop logo is 4/17 of a foot, or approximately 2.35 inches.

To find the width of Ben's Barbershop logo, we need to create an equation using the given information. The length of the logo is 7 1/5 feet long, and the area is exactly the maximum allowed by the building owner, which is 20 inches.

First, we need to convert the length from feet to inches to make the units consistent. 7 1/5 feet is equal to 85 inches (since 1 foot is equal to 12 inches and 1/5 of a foot is equal to 2.4 inches).

Next, we can use the formula for the area of a rectangle, which is length multiplied by width. Let's call the width M (since that's what we're trying to find), so our equation is:

85 x M = 20

We want to solve for M, so we need to isolate it on one side of the equation. We can do this by dividing both sides by 85:

M = 20/85

Simplifying this fraction, we get:

M = 4/17

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Answer:

2. 90+240= 330 m cubed

3. (24*2)+96= 144 cm cubed

The wave has a velocity of 26 cm/s.

We have the wave's period and wavelength.

The velocity of the wave can be determined using the formula for wave velocity, which is:

\(\[v = \frac{\lambda}{T}\]\)

The period of a wave is the time it takes for one complete wave to pass through a point. The wavelength of a wave is the distance between two successive points on the wave that are in phase with one another.

To determine the velocity of a wave, we can use the formula v = λ/T, where v is the wave's velocity, λ is its wavelength, and T is its period.

In this particular case, the wave has a period of 0.5 s and a wavelength of 13 cm. To calculate the velocity, we simply substitute these values into the formula:

v = λ/T = 13 cm/0.5 s = 26 cm/s Therefore, the velocity of the wave is 26 cm/s.

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Answer:

Step-by-step explanation:

left side:   5 - 4 + 7x + 1 = 1 + 7x + 1 = 7x + 2

No solution is when we have the same number of x-es and different sums of other numbers on both sides of equation. So we have to put 7 next to x and any numer except 2 at the second place.

So the right side could be 7x+1 or 7x+3 or 7x+125 and so on.

One solution is when we have different number of x-es on both sides of equation. The sums of other numbers could be any numbers.

So the right side could be ex.: 2x+1, x+2, 8x, 3x+(-18), and so on.

Infinitely many solutions is when we have  the same number of x-es and the same sums of other numbers on both sides of equation. So we have to put 7  next to x and numer 2 at the second place.

So the right side has to be 7x + 2

When the switch is closed, the potential difference across the resistor R connected to a secondary coil of a transformer is influenced by the turns ratio (n2 > n1). In this scenario, the number of turns in the secondary coil (n2) is greater than the number of turns in the primary coil (n1). This results in a step-up transformer, which increases the voltage across the resistor R in the secondary circuit.

When the switch is closed, a current flows through the primary coil of the transformer, which creates a changing magnetic field. This changing magnetic field induces a voltage in the secondary coil of the transformer, which is connected to resistor R. The ratio of the number of turns in the secondary coil to the number of turns in the primary coil is given by the turns ratio, which is represented by n2/n1.
Since the potential difference across a resistor is given by Ohm's law (V = IR), the potential difference across resistor R is proportional to the current flowing through it. Therefore, when the potential difference across resistor R connected to the secondary coil of the transformer is n2 > n1, it means that the current flowing through the secondary coil is greater than the current flowing through the primary coil. This is because the voltage induced in the secondary coil is greater than the voltage applied to the primary coil due to the turns ratio of the transformer.
When the switch is closed, the potential difference across the resistor R connected to a secondary coil of a transformer is influenced by the turns ratio (n2 > n1). In this scenario, the number of turns in the secondary coil (n2) is greater than the number of turns in the primary coil (n1). This results in a step-up transformer, which increases the voltage across the resistor R in the secondary circuit.

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Answer:

When you multiply two numbers or variables with the same base, you simply add the exponents. When you multiply expressions with the same exponent but different bases, you multiply the bases and use the same exponent.

Step-by-step explanation:

An equation highlighting the discount: y = (65 - 7)x

A simpler equation: y = 58x

Let's start with part a, finding the maximum and minimum.

Answer a: Max temp is -5 C on day 200.  Min temp is -79 C on day 500.

Sine model.

We're looking for a model

T(n) = A sin( ωn - p ) + o

where T(n) is the estimated temperature on day n, A the amplitude of the variation, omega the radial frequency of variation, p a phase shift and o an offset, the average temperature.

Averaging min and max gives -42 C; that's the offset, what we get when the sine is zero.  o = -42 C.

That's pretty close to the value on day 0 so we'll just use a sine function without any phase shift, p = 0.

Subtracting min from max gives a total span of 74 C degrees, so a sinusoidal amplitude that's half that, A = 37 C.

From max to min is a half period, or about a half period since we're only seeing every 100 days.  That's 300 days, so a full cycle about every 600 days.

We want the argument to sine to go from 0 to 2pi as we complete a single period, 600 days,  So when n=600 this term must be 2π, so it's of the form

ωn = 2 π n / 600.

Putting it all together we get our model:

Answer b: T(n) = 37 sin(2 π n / 600) - 42

We already estimated the period at 600 days.  That's a full year.

Answer c: 600 days

We can see a full period is closer to 700 days (compare day 500 and day 1200, and also day 600 and day 1300) and the phase shift might need adjusting, but I think we pretty much did as they asked so I'll stop here.

\( \dfrac{10}{120} = \dfrac{5.2}{x} \\ \\ x = \dfrac{5.2 \times 120}{10} \\ \\ x = 5.2 \times 12 = \red{\fbox{\pink{62.4}}}\)

Height of tree = 62ft and 4inch

The length of side b is approximately 6.437 in, angle A is approximately 24.28°, and angle C is approximately 82.57°.

Given the lengths of sides a = 8.186 in and c = 6.719 in, and angle B = 73.15°, we can solve for the length of side b, as well as the measures of angles A and C.

The length of side b is approximately 6.437 in. Angle A is approximately 24.28°, and angle C is approximately 82.57°.

To solve the triangle, we can use the Law of Sines and the fact that the sum of angles in a triangle is 180°.

Using the Law of Sines, we have:

sin(A) / a = sin(B) / b

sin(A) = (sin(B) * a) / b

sin(A) = (sin(73.15°) * 8.186) / b

We can solve for side b by rearranging the equation:

b = (sin(73.15°) * 8.186) / sin(A)

Substituting the given values, we find:

b = (sin(73.15°) * 8.186) / sin(A)

b ≈ (0.9645 * 8.186) / sin(A)

b ≈ 7.897 / sin(A)

b ≈ 6.437 in (rounded to the nearest thousandth)

Next, we can find angle A:

A = 180° - B - C

A ≈ 180° - 73.15° - 82.57°

A ≈ 24.28° (rounded to the nearest hundredth)

Finally, we can find angle C using the fact that the sum of angles in a triangle is 180°:

C = 180° - A - B

C ≈ 180° - 24.28° - 73.15°

C ≈ 82.57° (rounded to the nearest hundredth)

Therefore, the length of side b is approximately 6.437 in, angle A is approximately 24.28°, and angle C is approximately 82.57°.

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Answer:

Since QPR is an isoscelese triangle, QP and PR are congruent.

Therefore PR = 8

My guess for ST is z=1. So (5z = 5) and( 2z = 2). Then add 3 to 2 and you get 5. So ST = 5

Step-by-step explanation:

Hope this helps!!!

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We have a normally distributed random variable, with mean 23 and standard deviation 9.

a) We have to find the area of the left of 25.

The area to the left of 25 will be P(x<25) = 0.588.

b) We have to find the area to the left of 19:

The area to the left of 19 is P(x<19) = 0.328.

c) Find the area to the right of 23:

The area to the right of 23 is P(x>23) = 0.5.

d) Find the area to the right of 28:

The area to the right of 28 is P(x>28) = 0.289.

The constant of proportionality is k = 7, so:

y = 7x

We know that a proportional relation is of the form:

y = k*x

Where k is the constant of proportionality between the variables x and y.

Here we can see that the line passes through the point (1, 7), this means that when x = 1, y = 7.

Replacing these values we will get:

7 = k*1

With that we can find the value of k.

7/1 = k

That is the constant of proportionality, then the equation is:

y = 7x

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Haruka hiked about 14 kilometres in total.

According to the question

We don't know precisely how many kilometres Haruka travelled in the morning, but she hiked several kilometres in the morning and six kilometres in the afternoon. We may utilise the information provided—that her afternoon hike was 25% shorter than her morning trip—to solve the problem.

The unknown quantity (the number of kilometres hiked in the morning) may be represented as X in algebra. We may express the equation as follows if Haruka travelled 6 kilometres in the afternoon, which was 25% less than her morning hike:

6 = X - 0.25X

This equation can be simplified to:

6 = 0.75X

And finally, by solving for X, we get:

X = 8

In the morning, Haruka walked 8 kilometres. The distance travelled in the morning and afternoon are simply added together to provide the total number of kilometres hiked:

8 + 6 = 14 kilometers

Thus, during the course of the two excursions, Haruka covered a distance of 14 kilometres.

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Haruka hiked about 14 kilometres in total.

According to the question

We don't know precisely how many kilometres Haruka travelled in the morning, but she hiked several kilometres in the morning and six kilometres in the afternoon. We may utilise the information provided—that her afternoon hike was 25% shorter than her morning trip—to solve the problem.

The unknown quantity (the number of kilometres hiked in the morning) may be represented as X in algebra. We may express the equation as follows if Haruka travelled 6 kilometres in the afternoon, which was 25% less than her morning hike:

6 = X - 0.25X

This equation can be simplified to:

6 = 0.75X

And finally, by solving for X, we get:

X = 8

In the morning, Haruka walked 8 kilometres. The distance travelled in the morning and afternoon are simply added together to provide the total number of kilometres hiked:

8 + 6 = 14 kilometers

Thus, during the course of the two excursions, Haruka covered a distance of 14 kilometres.

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Answer:

£1.44

Step-by-step explanation:

We need to find the number of days it was due first.

26 Nov to 12 Dec: 16 days

1 day --- 9p

16 days --- 16 × 9p = 144p

                              = £1.44

A line that intersects two or more lines at a distinct point is known as a transversal line.

A transversal is a line in geometry that connects two lines in the same plane at two different places. When determining whether two or more other lines in the Euclidean plane are parallel, transversals are important. Consecutive interior angles, consecutive exterior angles, corresponding angles, and alternate angles are only a few examples of the several pairings of angles that can be formed when a transversal intersects two lines. Euclid’s parallel postulate states that if two lines are parallel, then comparable interior angles are equal, alternate interior angles are equal, and successive interior angles are supplementary.

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Main Answer:The correct answer is "equality of three or more population means."

Supporting Question and Answer:

What is the purpose of the one-way analysis of variance (ANOVA) test?

ANOVA helps to assess whether these differences are statistically significant by comparing the variation between the groups to the variation within the groups.

Body of the Solution:The one-way analysis of variance (ANOVA) is used to test for" the equality of three or more population means". ANOVA compares the variation between the groups (due to differences in means) to the variation within the groups (due to individual differences within each group) to assess whether the observed differences in means are statistically significant. Therefore, the correct answer is:

"equality of three or more population means."

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Answer:

15 for 2 = 30km

35 for 1 = 35km

5 for 10 = 50km

30 for 4 = 120km

Step-by-step explanation:

formula is

distance = speed x time

Answer:

C= 3.14= 2•n•4=25.1327in

Answer:

22.2 repeating

Step-by-step explanation:

9/0.405 = move the decimal points to create a whole number and move the decimal places where the 9 is to create equal equations for both sides.

9000/405=22.2 repeating.

Hope it helps:)

Answer: 0, 1, 2, 3

Step-by-step explanation:

To find the y values, just substitute hte given value for x.

For the first blank, this is when x=0, so y=0/2 = 0.

For the second blank, this is when x=2, so y=2/2=1.

The same logic applies for the others.

Answer:

(6,0)

(0,-2)

Step-by-step explanation:

Therefore, analytics is a critical tool for businesses and organizations looking to gain a competitive advantage and improve their operations.

Analytics is often described as the study of historical data to extract insights and make informed decisions. It involves the collection, processing, and analysis of data to discover patterns, identify trends, and gain insights into business operations. By examining data sets, analytics can help businesses identify areas of improvement, optimize performance, and increase efficiency. Analytics tools and techniques can be used across many different fields, including finance, marketing, healthcare, and sports. In finance, analytics can be used to analyze market trends and predict future outcomes. In marketing, analytics can help businesses identify customer behavior patterns and optimize marketing campaigns. In healthcare, analytics can help identify patterns in patient data and improve healthcare outcomes. In sports, analytics can be used to analyze player performance and predict game outcomes.

Therefore, analytics is a critical tool for businesses and organizations looking to gain a competitive advantage and improve their operations.

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Answer:

(1, 8)

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

add the exponents

An appropriate hypothesis test to determine whether scores of depression are different pre- and post-treatment would be the paired t-test.

The paired t-test is suitable in this scenario because it compares the mean scores of depression before and after the treatment within the same group of participants.

This test takes into account the paired nature of the data, where each participant is measured twice (pre- and post-treatment).

By conducting a paired t-test, the researchers can assess whether there is a statistically significant difference in depression scores before and after the treatment. This will help determine the effectiveness of the new treatment for depression.

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Answer:

Angle 1 = 115 degrees

Angle 2 = 65 degrees

Step-by-step explanation:

Angle 1: Same-side interior angle of Line 1

Angle 2: Same-side interior angle of Line 2

We know that the difference between the angles is 50 degrees. Since the angles are supplementary, we can write the equation:

Angle 1 + Angle 2 = 180

Now, we need to express the difference between the angles in terms of Angle 1 or Angle 2. We can choose either angle, so let's express it in terms of Angle 1:

Angle 1 - Angle 2 = 50

We can rewrite this equation as:

Angle 1 = 50 + Angle 2

Now substitute this expression for Angle 1 into the first equation:

(50 + Angle 2) + Angle 2 = 180

Combine like terms:

2Angle 2 + 50 = 180

Subtract 50 from both sides:

2Angle 2 = 130

Divide by 2:

Angle 2 = 65

Now substitute this value back into the equation for Angle 1:

Angle 1 = 50 + Angle 2

Angle 1 = 50 + 65

Angle 1 = 115

Therefore, the angles are as follows:

Angle 1 = 115 degrees

Angle 2 = 65 degrees

Answer:

28 more people to reach 450

Step-by-step explanation:

450/7≈65(the total number of money the need divided by ticket price to see how many total people they need)

37*7=259 (the people they have already gotten times ticket price to find how much more they need)

450-259= 191 (what they need altogether miinus what they already have)

191/7≈28 (how much more money they need divided by ticket price, 28 is more ticket they need to sell)

does this make sense