Sandpiper Sightseeing Tours purchased a new van for the business.
On the first trip, Jesse drove 2 hours at an average speed of 55 mph.
How far did Jesse travel?

The value of p is p = 3.17.

What is a linear equation in one variable?

The linear equation in one variable is an equation that is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution.

The given equation is 9p-3p-5=19.

To solve for p, we need to isolate the p term on one side of the equation. Currently, p is part of the term 9p-3p, which can be simplified to 6p.

We can then rewrite the equation as:

6p = 19

To solve for p, we need to divide both sides by 6:

p = 19/6

= 3.17

Therefore, the value of p is p = 3.17.

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Answer:

120 mg

Step-by-step explanation:

20% of  100 is 20 so that would be 20mg  plus the 100mg they just took

100+20=120mg

i hope this helps you!

Given:

The values are \(a=0.\overline{6},b=0.75\).

To find:

The values of \(ab\) and \(\dfrac{a}{b}\).

Solution:

We have,

\(a=0.\overline{6}\)

\(a=0.666...\)                     ...(i)

Multiply both sides by 10.

\(10a=6.666...\)                 ...(ii)

Subtracting (i) from (ii), we get

\(10a-a=6.666...-0.666...\)

\(9a=6\)

\(a=\dfrac{6}{9}\)

\(a=\dfrac{2}{3}\)

And,

\(b=0.75\)

\(b=\dfrac{75}{100}\)

\(b=\dfrac{3}{4}\)

Now, the product of a and b is:

\(ab=\dfrac{2}{3}\times \dfrac{3}{4}\)

\(ab=\dfrac{1}{2}\)

The quotient of a and b is:

\(\dfrac{a}{b}=\dfrac{\dfrac{2}{3}}{\dfrac{3}{4}}\)

\(\dfrac{a}{b}=\dfrac{2}{3}\times \dfrac{4}{3}\)

\(\dfrac{a}{b}=\dfrac{8}{9}\)

Therefore, the required values are \(ab=\dfrac{1}{2}\) and \(\dfrac{a}{b}=\dfrac{8}{9}\).

Answer:

ab = 1/2 and a/b = 8/9

Step-by-step explanation:

took test

Given that the vertex of the function is at the point (0, 0.5).We are required to find the recommended amount of mulch for a flowerbed with a radius of 20 feet.

Let us find the equation of the parabola with the vertex at (0,0.5).

The general equation of the parabola is given as:y = a(x - h)² + k

Where(h, k) = (0, 0.5)

=> h = 0 and k = 0.5

Therefore, the equation of the parabola is:

y = a(x - 0)² + 0.5y = ax² + 0.5

We have another point on the parabola given as (20, 2).We can use this point to find the value of a.

Substituting the point (20, 2) in the equation of the parabola we get:

2 = a(20)² + 0.52

= 400a + 0.5a

= 1.5/400

a = 3/8000

Substituting the value of a in the equation of the parabola, we get:

y = (3/8000)x² + 0.5

Let us now find the volume of the flowerbed with a radius of 20 feet.We know that the flowerbed is in the shape of a hemisphere.

Hence,Volume of the flowerbed = (2/3)πr³ = (2/3) × π × (20)³

= 33,510.32 cubic feet

Let us find the height of the flowerbed at a distance of 20 feet from the center.The distance from the center of the flowerbed to the edge is 20 feet.

Therefore, the point on the parabola at a distance of 20 feet from the origin will be (20, h).Let us find the value of h.

Substituting x = 20 in the equation of the parabola, we get:

h = (3/8000)(20)² + 0.5

= 0.8 feet

The height of the flowerbed at a distance of 20 feet from the center is 0.8 feet.The volume of the mulch required will be the volume of the hemisphere with radius 20 and height 0.8 feet.

Volume of mulch required = (2/3)πr²h

= (2/3) × π × (20)² × 0.8

= 6716.32 cubic feet

Therefore, the recommended amount of mulch for a flowerbed with a radius of 20 feet is 6716.32 cubic feet.

Therefore, the recommended amount of mulch for a flowerbed with a radius of 20 feet is 6716.32 cubic feet.

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Answer:

Step-by-step explanation:

Let's open the brackets,

12z - 21 = -21 + 12z (distributive property)

12z - 12z = -21 + 21

0z = 0

z = 0

Explanation:

This equation represents a line, so there are many points that are solutions to the equation. To fill in this boxes we just have to pick a x-value that's in the domain, replace it into the equation and solve for y. The domain of this function is all real numbers, so any number will work.

Using x = 1:

Answers:

A solution is (-24) = 8( 1 ) - 32

Answer:

$10.50

Step-by-step explanation:

Answer:

31.50$

Step-by-step explanation:

step by step

Answer:

3x^2+3x-6

Step-by-step explanation:

The current ratio of SDJ, Inc. is 1.72.

Current ratio is used to measure a company's liquidity. The formula to calculate the current ratio is as follows:

Current ratio = Current Assets ÷ Current Liabilities

Given below is the calculation of current ratio for SDJ, Inc.: Working capital = Current assets - Current liabilitiesWorking capital = $3,220 Inventory = $4,400 Current liabilities = $4,470

Working capital = Current assets - $4,470$3,220 = Current assets - $4,470

Current assets = $3,220 + $4,470

Current assets = $7,690

Current ratio = $7,690 ÷ $4,470= 1.72 (rounded to two decimal places)

Therefore, the current ratio of SDJ, Inc. is 1.72.

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Answer:

Step-by-step explanation

Given

The perimeter of a rectangular painting =348 centimeter

the width of the painting=82cm

Solution

Perimeter of the rectangular painting=2(length+width)

2(Length +width)=348

2(Length+82)=348

2l+164=348

2l=348-164

2l=184

Length=184/2

So length =92cm.

The size for a TV is determined as the diagonal length of the Television.

The Televisions that we see in our daily life are mostly of the rectangular shape.

A rectangular shape is a shape that has 4 sides in it, the opposite sides of the rectangular are parallel and equal. Two pairs of equal sides are formed in this type of shape.

If we connect the vertices that are directly opposite to each other than it is known as the diagonal of the rectangle . Often we see that the TV is of 32'' or 64''. This only means that the diagonal length of the TV is 32'' or 64''. This is how we measure the size of the TV.

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The probability that the mean of a sample of 106 randomly selected humans is lower than 98.5°F is 4.85%

An equation is an expression that shows the relationship between two or more numbers and variables.

Z score is given as:

z = (raw score - mean) ÷ (standard deviation/√sample size)

Given mean of 98.6°F,  standard deviation is 0.62°F, sample size = 106

For x < 98.5:

z = (98.5 - 98.6) ÷ (0.62÷√106) = -1.66

P(z < -1.66) = 0.0485

The probability that the mean of a sample of 106 randomly selected humans is lower than 98.5°F is 4.85%

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There are 144 possible sequences of chip colors.

We can solve this problem by counting the number of possible sequences of chip colors that can be drawn from the bag until the total value of the chips is at least $7.

Let's consider all the possible sequences of chips that can be drawn from the bag. The first chip can be any of the 6 chips in the bag. For each chip color, there are different scenarios that can happen after drawing the first chip:

Therefore, the total number of possible sequences of chip colors that can be drawn from the bag until the total value of the chips is at least $7 is: 2 x 32 + 1 x 32 + 3 x 16 = 144

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To find the z-score for a sales associate who earns $37,500, we can use the formula:

z = (x - μ) / σ

Where:

x is the value we want to convert to a z-score (in this case, $37,500),

μ is the mean of the distribution (in this case, $32,500), and

σ is the standard deviation of the distribution (in this case, $2,500).

Substituting the given values into the formula, we have:

z = (37,500 - 32,500) / 2,500

z = 5,000 / 2,500

z = 2

Therefore, the z-score for a sales associate who earns $37,500 is 2.

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The z-score for a sales associate earning $37,500 in a system where the mean salary is $32,500 and the standard deviation is $2,500 has a z-score of 2. This score indicates that the associate's salary is two standard deviations above the mean.

The z-score represents how many standard deviations a value is from the mean. In this case, the value is the salary of a sales associate, the mean is the average salary, and the standard deviation is the average variation in salaries.

We calculate the z-score by subtracting the mean from the value and dividing by the standard deviation, like so:

Z = (Value - Mean) / Standard Deviation

So, the z-score for an associate earning $37,500 would be:

Z = ($37,500 - $32,500) / $2,500

This gives us a z-score of +2, indicating that a salary of $37,500 is two standard deviations above mean.

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The ship is approximately 10.6 miles away from the port. The option is C: 21.4 miles.

To find the distance from the port, we need to find the magnitude and direction of the final displacement vector. The magnitude of the final displacement vector is the sum of the magnitudes of the two displacement vectors that make it up, which are 5 miles and 9 miles. To find the direction of the final displacement vector, we need to use vector addition.

The direction of the first displacement vector is due north, so we can represent it as a vector pointing straight up in a northward direction. The direction of the second displacement vector is 20° east of north, so we can represent it as a vector that points to the northeast. To find the final displacement vector, we add the two vectors.

This can be done graphically by drawing the vectors and finding the vector that connects the starting point to the end point.

The final displacement vector has a magnitude of the square root of (5² + 9²), which is approximately 10.6 miles. The direction of the final displacement vector is the angle that it makes with due north. To find this angle, we can use the arctangent function. The final answer is approximately 10.6 miles.

So the ship is approximately 10.6 miles away from the port. The answer is C: 21.4 miles.

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As the variance/mean ratio is significantly greater than 1, the population is found to be a clumped distribution.

A clumped distribution, also known as an aggregated distribution, is a pattern of dispersion or arrangement of individuals within a population where they are found in groups or clusters. This means that individuals within a population are more likely to be found in certain areas, while other areas may have few or no individuals.

From the table in the attached image, it can be seen that

the variance= sum of (x -  0.6)^2/ sum of frequency

= 362.88/288

= 1.26

Variance/mean = 1.26/0.6 = 2.1 which is greater than 1

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Answer:

Step-by-step explanation:

1. multiply the 7 through the parenthesis to get 7f-35=28

2. add 35 to both sides leaving you with 7f=63

3. divide 63 by 7 to get your answer which is 9

Answer: 9

Answer:

A function is a set of ordered pairs, where each input (x-value) is associated with exactly one output (y-value).

From the given representations, only the option F shows y as a function of x. In option F, each x-value is associated with exactly one y-value.

In option G, the ordered pairs (9, 2) and (9, 3) have the same x-value but different y-values, which means y is not a function of x.

In option H, the ordered pairs (1, 3) and (2, 3) have the same y-value but different x-values, which means x is not a function of y.

In option J, the ordered pairs (1, 2) and (3, 4) have the same difference in x and y values, but they do not have a constant ratio between them, which means y is not a function of x.

Therefore, only option F shows y as a function of x.

Step-by-step explanation:

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The opposite side of the right triangle (x) is approximately 6.888 inches long.

To solve this problem, we can use the trigonometric ratio for the sine function, which is opposite/hypotenuse. We have the hypotenuse as 12 inches and the opposite angle as 35 degrees, so we can set up the equation:

sin(35) = opposite/12

To solve for the opposite, we can multiply both sides by 12:

opposite = 12 * sin(35)

sin(35) as approximately 0.574:

opposite = 12 * 0.574

opposite ≈ 6.888

Therefore, the opposite side of the right triangle (x) is approximately 6.888 inches long.

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Answer:

just know so please give me a good rating

Answer:

Step-by-step explanation:

The temperature when the plane reaches an altitude of 5000 ft will be 47.2 F.

Temperature Drop per 1000 ft      :       1.6 F

Temperature Drop for 5000 ft       :       1.6 x (5000/1000)

      :       1.6 x 5 = 8.0

Temperature at 5000 ft                   :      55.2 – 8  = 47.2 F

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The temperature when the plane reaches an altitude of 5000 feet will be 47.2 Fahrenheit.

In the given case, there is a drop of 1.6 Fahrenheit in temperature for every thousand feet that an airplane climbs into the sky.

The temperature on the ground is 55.2 Fahrenheit.

Temperature Drop per 1000 feet = 1.6 Fahrenheit

Temperature Drop for 5000 feet = 1.6 x (5000/1000)

                                                       = 1.6 x 5

                                                       = 8.0 Fahrenheit

To get the temperature when the plane reaches an altitude of 5000 feet,

The temperature at 5000 feet = 55.2 – 8 = 47.2 Fahrenheit

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Answer:

  x-axis from -20 to 5; y-axis from -80 to 80

Step-by-step explanation:

The attached graph shows my choice for a viewing window. The closest approximation among your answer choices is ...

  x: -20 to 5

  y: -80 to 80 . . . . . choice A

x-axis from -20 to 5; y-axis from -80 to 80

Step-by-step explanation:

The attached graph shows my choice for a viewing window. The closest approximation among your answer choices is ...

 x: -20 to 5

 y: -80 to 80 . . . . . choice A

Answer:

$167.57

Step-by-step explanation:

"In addition to the cost of the meal you must pay a 89 sales tax:"   don't you mean a 8.9% sales tax?

Tax:  8.9% of $130 = %11.57

Tip:  20% of $130 =      26.00

Total:  meal, tax and tip:  $130 + $11.57 + $26 = $167.57

Answer:

Consecutive

Step-by-step explanation:

Answer:

consecutive

Step-by-step explanation:

have a good day!

In the given IS-LM model, the equilibrium real output, Y, and the equilibrium value of consumption, C, can be determined using the IS and LM equations. The IS equation relates output to the interest rate, while the LM equation represents the equilibrium condition in the money market. By substituting the given values into the equations, we can find the equilibrium values.

The IS equation is given by: Y = 1,586.27 - 3,145.45i.

The LM equation is given as: i = 0.04.

To find the equilibrium real output, we substitute the value of i from the LM equation into the IS equation:

Y = 1,586.27 - 3,145.45 * 0.04.

Calculating the right side of the equation, we have:

Y = 1,586.27 - 125.82,

Y ≈ 1,460.

Therefore, the equilibrium real output, Y, is approximately 1,460.

To find the equilibrium value of consumption, we substitute the equilibrium real output, Y, into the consumption function:

C = 217 + 0.51Y.

Substituting Y = 1,460, we have:

C = 217 + 0.51 * 1,460.

Calculating the right side of the equation, we find:

C ≈ 984.

Therefore, the equilibrium value of consumption, C, is approximately 984.

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The interval of convergence is (-2, 14)., the radius of convergence is 8.

To find the radius of convergence, we take half the length of the interval of convergence: Radius of Convergence = (14 - (-2))/2 = 16/2 = 8. Hence, the radius of convergence is 8.

To find the radius of convergence and interval of convergence of the series, we will use the ratio test. Consider the series:

∑ [(√n)/(8^n)] * [(x-6)^n]

Let's apply the ratio test:

lim┬(n→∞)⁡(|(√(n+1))/(8^(n+1)) * ((x-6)^(n+1))| / |(√n)/(8^n) * ((x-6)^n)|)

Simplifying this expression, we get:

lim┬(n→∞)⁡(|√(n+1)/(√n) * ((x-6)/(8))|)

Since we are interested in finding the radius of convergence, we want to find the limit of this expression as n approaches infinity:

lim┬(n→∞)⁡(|√(n+1)/(√n) * ((x-6)/(8))|) = |(x-6)/8| * lim┬(n→∞)⁡(√(n+1)/(√n))

Now, let's evaluate the limit term:

lim┬(n→∞)⁡(√(n+1)/(√n)) = 1

Therefore, the simplified expression becomes:

|(x-6)/8|

For the series to converge, the absolute value of (x-6)/8 must be less than 1. In other words:

|(x-6)/8| < 1

Simplifying this inequality, we have:

-1 < (x-6)/8 < 1

Multiplying each part of the inequality by 8, we get:

-8 < x-6 < 8

Adding 6 to each part of the inequality, we have:

-8 + 6 < x < 8 + 6

Simplifying, we obtain:

-2 < x < 14

Therefore, the interval of convergence is (-2, 14).

Finally, to find the radius of convergence, we take half the length of the interval of convergence:

Radius of Convergence = (14 - (-2))/2 = 16/2 = 8

Hence, the radius of convergence is 8.

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-15/2+√31.(3/2)i is the width of the garden.

The area of Rectangle is length times of width.

Given,

As an architect, your job is to fulfill the requirements of the client.

You are demanded by your client to have a plan or sketch in planting a garden and surrounding it with decorative stones.

Let width be x

The desired length of the lot is 15 meters longer than its width.

Length =x+15

The area of the rectangular plot should not be more than 126 m²

Area=Length×width

126=x(x+15)

126=x²+15x

x²+15x-126=0

Apply it in Quadratic formula.

x=-b±√b²-4ac/2a

a=1, b=15 and c=-126.

x=-15±√15²-4(1)(-126)/2(1)

x=-15/2+√31.(3/2)i.

Hence, the width of the garden is -15/2+√31.(3/2)i.

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\(u_{2} = u_{1} + 8 \\ u_{3} = u_{2} + 4 \\ u_{4} = u_{3} + 2 \\ u_{5} = u_{4} + 1 \\ u_{6} = u_{5} + 0.5 \\ ....\)

\(u_{2} = u_{1} + 2 {}^{3} \\ u_{3} = u_{2} + 2 {}^{2} \\ u_{4} = u_{3} + 2 {}^{1} \\ u_{5} = u_{4} + 2 {}^{0} \\ u_{6} = u_{5} + 2 {}^{ - 1} \\ ....\)

\(u_{n + 1} = u_{n} + 2 {}^{4 - n} \)