On a snow day, Logan created two snowmen in his backyard. Snowman A was built to
a height of 34 inches and Snowman B was built to a height of 46 inches. The next day,
the temperature increased and both snowmen began to melt. At sunrise, Snowman
A's height decrease by inches per hour and Snowman B's height decreased by 7
inches per hour. Let A represent the height of Snowman A t hours after sunrise and
let B represent the height of Snowman B t hours after sunrise. Write an equation for
each situation, in terms of t, and determine the interval of time, t, when Snowman A
is taller than Snowman B.
A
B =
Snowman A is taller than Snowman B when to

Given the word phrase ( 16 more than m )

More than mean addition, so we will use the sign (+)

so, the expression will be:

Answer:

about 4 dollars :)

hope this helps

The number of adult tickets that were sold would be = 435 tickets.

A ticket is an official document that gives an individual access to an event.

The cost of adult tickets = $8

The cost for student tickets = $4

The number of students tickets sold = X

The number of adults tickets sold = X +30

The told number of tickets sold = 840

To find X;

X + X + 30 = 840

2x + 30 = 840

2x = 840-30

2x = 810

X = 810/2

X = 405

Therefore, the number of tickets sold for adults = 405 +30 = 435 tickets.

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Using the Binomial probability distribution,

The probability that exactly two customers in the sample will default on their payments is 0.31..

We have given that,

4% of total customers a mortgage company default on their payments .

The probability of success i.e number of customers default on their payments (p) = 4%

= 0.04

The probability of failure (q) = 1-p = 1-0.04 = 0.06

Total number of customers in sample (n) = 20

we have to find out the probability that exactly two customers in the sample will default on their payments.

Using the Binomial probability distribution,

P(X=x)= ⁿCₓ(p)ˣ(q)⁽ⁿ⁻ˣ⁾

the required probability is P(X= 2 )

Now, P(X= 2) = ²⁰C₂(0.04)²(0.06)¹⁸

=> P(X=2) = 190 × 0.0016 × 1.0155 = 0.31

Hence, the required probability is 0.31

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Answer:

What do you need help with?

Step-by-step explanation:

Answer:

40 %

Step-by-step explanation:

Answer:

its 12084

Step-by-step explanation:

on my test

Variance is the measurement of the spread between numbers in a given set of data.

The variance for the set is 12083.929

It is the measurement of the spread between numbers in a given set of data.

We have,

3, 33, 303, 233, 3, 73, 83, 63

The formula to find variance:

Find the means of the set of data.

Find the deviation of the set of data from the mean.

Find the sum of the squares of the mean deviations.

Divide the sum of the squares of the mean deviations by (n-1)

where n is the number of data in the set.

The mean:

= (3 + 33 + 303 + 233 + 3 + 73 + 83 + 63) / 8

= 794/8

= 99.25

Deviation from the mean:

3 - 99.25 = -96.25

33 - 99.25 = -66.25

303 - 99.25 = 203.75

3 - 99.24 = -96.25

73 - 99.25 = -26.25

83 - 99.25 = -16.25

63 - 99.25 = -36.25

The sum of the squares of Mean deviation:

= 9264 + 4389 + 41514 + 9264 + 689 + 264 + 1314

= 84587.5

The variance:

= 84587.5 ÷ (8 - 1)

= 84587.5 / 7
= 12083.929

Thus,

The variance for the set is 12083.929

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To prepare a 1000 mL of a 1:32 ratio bleach solution, you would need to mix 31.25 mL of bleach with 968.75 mL of water.

To calculate the amount of bleach needed to make a 1000 mL solution, we can set up the following proportion:

1 part bleach / 32 parts water = X mL bleach / 1000 mL total solution

Cross-multiplying, we get:

32X = 1000

Solving for X, we get:

X = 1000 / 32 = 31.25 mL of bleach

Therefore, to prepare a 1000 mL 1:32 bleach solution, you would need to mix 31.25 mL of bleach with 968.75 mL of water.

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Answer:

7200

Step-by-step explanation:

Orville should walk at an angle of 71.05 degrees north of west during the second portion of the trip.

When Orville walks in the northeast direction of the starting point, his angle from the east direction is 45 degrees. So, the position vector of Orville in the northeast direction will be as follows.

r = [(0.330km)cos 45° ] i+ [(0.330km)sin45°] j

r = (0.233km)i + (0.233km)j

Write the expression for the net position vector and substitute the required values to determine the value of the position vector of Orville in the second portion of the trip.

\(r = r_1+r_2\)

(0.233km)i + (0.233km)j = (0.313km) i + \(r_2\)

\(r_2\) = (0.233km)i + (0.233km)j - (0.313km) i

\(r_2\) = - (0.080km) i + (0.233 km) j

Determine the direction of Orville in the second portion of the trip.

\(tan\theta=\frac{0.233km}{-0.080km}\)

\(\theta=tan^-^1(\frac{0.233km}{-0.080km})\)

θ = -71.05°

θ = 71.05° (north of west)

So, Orville should walk at an angle of 71.05 degrees north of west during the second portion of the trip.

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The given question is incomplete, complete question is:

Orville walks 0.313 km due east. He then continues walking along a straight line, but in a different direction, and stops 0.330 km northeast of his starting point.

In what direction did he walk during the second portion of the trip? Enter the angle in degrees where negative indicates north of west and positive indicates south of west.

Answer:

Step-by-step explanation:

B

Applying exponential properties, we have that the solution to the given expression is:

\(-\frac{125}{343}\)

When a fraction is elevated to the exponent, we apply the exponent to both the numerator and the denominator.

In this problem, we have that:

Negative base with odd exponent, hence the solution is negative and given as follows:

\(-\frac{125}{343}\)

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The values of the missing sides are;

a.  x = 35. 6 degrees

b. x = 15

c. x = 22. 7 ft

d. x = 31. 7 degrees

To determine the values, we have;

a. Using the tangent identity;

tan x = 5/7

Divide the values

tan x = 0. 7143

x = 35. 6 degrees

b. Using the Pythagorean theorem

x² = 9² + 12²

find the square

x² = 225

x = 15

c. Using the sine identity

sin 29= 11/x

cross multiply the values

x = 11/0. 4848

x = 22. 7 ft

d. sin x = 3.1/5.9

sin x = 0. 5254

x = 31. 7 degrees

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If solving an equation, put it in standard form with 0 on one polynomial side and simplify.

If you're down to a linear or quadratic equation (degree 1 or 2),

Write a polynomial equation in standard form before attempting to solve it. Factor it, then set each variable factor to zero after it has reached zero. The original equations' answers are the solutions to the derived equations. Factoring cannot always be used to solve polynomial equations.

Put the equation in standard form with 0 on one side to simplify it while solving it.

Know the anticipated number of roots.

If you're left with a linear or quadratic equation of degree 1 or 2, use the quadratic formula or visual inspection to solve it.

Identify one logical cause or source.

Subtract from your factor.

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Mate's car can travel approximately 5 more minutes per gallon of gas compared to Jenna's car.

To determine how many more minutes Mate's car can travel per gallon of gas compared to Jenna's car, we would need additional information about the fuel efficiency or miles per gallon (MPG) for each car.

Fuel efficiency is typically measured in terms of miles per gallon, indicating the number of miles a car can travel on a gallon of gas.

To calculate the difference in travel time, we would also need to know the average speed at which the cars are traveling.

Once we have the MPG values for Mate's car and Jenna's car, we can calculate the difference in travel time per gallon of gas by considering their respective fuel efficiencies and average speeds.

If Mate's car has a fuel efficiency of 30 MPG and Jenna's car has a fuel efficiency of 25 MPG, we can calculate the difference in travel time by comparing the distances they can travel on a gallon of gas.

Let's assume both cars are traveling at an average speed of 60 miles per hour.

For Mate's car:

Travel time = Distance / Speed

= (30 miles / 1 gallon) / 60 miles per hour

= 0.5 hours or 30 minutes.

For Jenna's car:

Travel time = Distance / Speed

= (25 miles / 1 gallon) / 60 miles per hour

= 0.4167 hours or approximately 25 minutes.

Without specific information about the MPG values and average speeds of the cars, it is not possible to provide an accurate answer regarding the difference in travel time per gallon of gas between Mate's car and Jenna's car.

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Answer:

\((x+2)^{2} +(y+2)^{2} =9\)

Step-by-step explanation:

the equation of circle:

center:(-2,-2)

The distance between the center and the side:3

So, the radius is 3

(x-h)^2+(y-k)^2=r^2

\((x - - 2)^{2} +(y- - 2)^{2} =3^{2}\)

\((X+2)^{2} +(y+2)^{2} =9\)

to graph the inequality y ≥ -1/4x - 3, we can first graph the boundary line y = -1/4x - 3

How to solve graph?

To graph the inequality y ≥ -1/4x - 3, we can follow the following steps:

Step 1: Start by graphing the boundary line y = -1/4x - 3. To do this, we can first find two points on the line. We can choose x = 0 and x = 4 as two convenient values, and then solve for the corresponding y-values. When x = 0, y = -3, and when x = 4, y = -4. We can plot these two points and draw a straight line passing through them to obtain the boundary line.

Step 2: Choose a test point that is not on the boundary line. We can choose the origin (0, 0) as a test point.

Step 3: Substitute the test point into the inequality y ≥ -1/4x - 3. If the inequality is true for the test point, shade the region containing the test point. Otherwise, shade the region that does not contain the test point.

When we substitute the origin into the inequality, we get y ≥ -3. This means that all the points above the boundary line (including the boundary line itself) satisfy the inequality. Therefore, we shade the region above the boundary line.

The resulting graph should look like the shaded region above the boundary line y = -1/4x - 3, as shown below:

Graph of y ≥ -1/4x - 3

In summary, to graph the inequality y ≥ -1/4x - 3, we can first graph the boundary line y = -1/4x - 3 and then shade the region above the line to represent all the points that satisfy the inequality.

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Answer:

x = 6

Step-by-step explanation:

Here it's sayin that Q is a point in between the end-points P & R. If we join P & R , it forms a line segment & Q is in the line segment PR. Hence PQ & QR are also line segments which combine to form line segment PR. So ,

PR = PQ + QR

Putting the given values of PQ ,QR & PR

=> 4x - 12 + 2x + 7 = 31

=> 6x - 5 = 31

=> 6x = 31 + 5

         = 36

=> x = 36/6 = 6

The angle of elevation of the ramp is approximately 20.56 degrees.

We can use the trigonometric function tangent to find the angle of elevation of the ramp. The definition of tangent is:

tangent(angle) = opposite / adjacent

where "opposite" is the length of the side opposite the angle (i.e., the vertical height of the ramp), and "adjacent" is the length of the side adjacent to the angle (i.e., the horizontal length of the ramp).

Substituting the given values, we get:

tangent(angle) = 5 / 14

To solve for the angle, we need to take the inverse tangent (or arctangent) of both sides of the equation:

angle = tan^(-1) (5/14)

Using a calculator, we get:

angle ≈ 20.56 degrees

Therefore, the angle of elevation of the ramp is approximately 20.56 degrees.

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We need to know the total earnings and total expenses for the day. Without this information, we cannot accurately determine Leo's profit. If you can provide additional details or the complete notebook entries, I would be happy to assist you in calculating the profit.

To determine Leo's profit for the first day, we need more information than what is provided in the question. The notebook shows the money earned and spent, but the given information stops at "10," without specifying whether it represents money earned or money spent. Additionally, we don't have any other earnings or expenses mentioned in the question.

To calculate the profit, we need to know the total earnings and total expenses for the day. Without this information, we cannot accurately determine Leo's profit. If you can provide additional details or the complete notebook entries, I would be happy to assist you in calculating the profit.

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The probability of the center of a circle being contained within a randomly formed triangle using three points along its perimeter is 1/4 or 25%. This probability remains the same for any size of the circle.

The probability that the center of the circle is contained within the triangle formed by selecting three random points along its perimeter is 1/4 or 25%. This is because any triangle that contains the center of the circle must have all of its vertices on the circumference of a smaller circle with half the radius of the original circle. The probability of selecting three random points on the circumference of this smaller circle is 1/4 or 25%.

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The obtained answers for the given piecewise function are:

(a) The cost of a call that is under six minutes is 0.70 (m < 6)

(b) The cost of a 14-minute call is 2.62 (m > 6; m is an integer)

(c) The cost of a 9 1/2 minute call is 1.66 (m > 6; m is not an integer)

A piecewise function is given by different functions at different intervals.

It is given that,

phone company set the following rate schedule for an m-minute call from any of its pay phones.

C(m) = 0. 70 when m ≤ 6

        = 0.70 + 0.24(m - 6) when m > 6 and m is an integer

        = 0.70 + 0.24([m - 6] + 1) when m > 6 and m is not an integer

(a) The cost of a call that is under six minutes:

Since m < 6, the cost is C(m) = 0.76

Thus, the cost of a call that is under six minutes is 0.76

(b) The cost of a 14-minute call:

Since 14 > 6, the cost is C(m) = 0.70 + 0.24(m - 6) when m > 6 and m is an integer.

C(14) = 0.70 + 0.24(14 - 6)

        = 0.70 + 0.24(8)

        = 0.70 + 1.92

        = 2.62

Thus, the cost of a 14-minute call is 2.62.

(c) The cost of a 9 1/2 minute call:

9 1/2 = 19/2 = 9.5

Since 9.5 > 6, the cost is C(m) = 0.70 + 0.24([m - 6] + 1) when m > 6 and m is not an integer.

C(9.5) = 0.70 + 0.24([9.5 - 6] + 1)

          = 0.70 + 0.24([3.5] + 1)

Since we know that if [x] is a function then its domain is R and the range is Z(integer)

So, [3.5] = 3(is an integer)

Then,

C(9.5) = 0.70 + 0.24(3 + 1)

          = 0.70 + 0.96

          = 1.66

Therefore, the cost of a 9 1/2 minute call is 1.66.

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Answer:

sure send it and I will do my best to help you..

The scientist first operated the time-travel machine in the year 7.

To determine the year the scientist first operated the time-travel machine, we need to work backward from the given end point of 2023.

Since he ended up in 2023, we know that after going back 2000 years, the scientist was in the year 23. Going back even further, we subtract three years to account for the initial forward jump. This takes us to the year 20.

From there, we need to find the year when the scientist made the jump forward by two times the current year. To do this, we divide 20 by 2, resulting in 10. This means that the scientist made the jump forward in the year 10.

Finally, to determine the year when he first operated the time-travel machine, we subtract three more years from 10, which gives us the year 7.

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Answer:

b

Step-by-step explanation:

The cubic centimeter (cm³ or cc) is a unit of volume that is equivalent to a cube with sides measuring one centimeter each. It is commonly used to measure the volume of small objects or substances.

The term "cc" is often used in medical and automotive contexts to denote engine displacement or medication dosages. The cubic centimeter is a convenient unit for expressing small volumes due to its relation to the metric system and its ease of conversion. The cubic centimeter, denoted as cm³ or cc, is a unit of volume in the metric system. It represents the volume of a cube with sides measuring one centimeter each. This unit is widely used to measure the volume of small objects or substances, especially in scientific, medical, and engineering fields. In the medical field, the term "cc" is often used interchangeably with ml (milliliter) to express medication dosages. For example, a doctor may prescribe a certain medication to be administered in 5 cc or 5 ml doses. In the automotive industry, cc is used to denote engine displacement, which represents the total volume swept by all the pistons in an internal combustion engine. It is commonly used to categorize and compare the sizes and capacities of different engines. The cubic centimeter is a convenient unit for measuring small volumes due to its relation to the metric system. It is easily convertible to other metric units of volume, such as liters or milliliters, by using the appropriate conversion factors. For example, 1 cm³ is equivalent to 0.001 liters or 1 milliliter. Overall, the cubic centimeter serves as a practical unit for quantifying small volumes in various fields, providing a common measurement standard and facilitating easy conversions within the metric system.

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The efficiency of the power screw in raising the load is approximately 6976%.

The efficiency of a power screw can be calculated using the formula: Efficiency = (Ideal Mechanical Advantage / Actual Mechanical Advantage) x 100% To find the Ideal Mechanical Advantage (IMA) of the screw, we can use the formula:

IMA = (π / tan(α)) x (π / 2) x (D / P)

Where: π is the mathematical constant pi (approximately 3.14159) tan(α) is the coefficient of friction (given as 0.20) D is the major diameter of the screw (given as 19 mm) P is the pitch of the screw, which can be calculated as (25.4 mm / number of threads per inch) First, let's calculate the pitch: Number of threads per inch = 6

Pitch = 25.4 mm / 6 = 4.23 mm (approximately)

Now, we can substitute the values into the formula to find IMA:

IMA = (π / tan(α)) x (π / 2) x (19 mm / 4.23 mm)

Using the given coefficient of friction, we have:

IMA = (π / 0.20) x (π / 2) x (19 mm / 4.23 mm)

Simplifying the equation, we get:

IMA = 9.87 x 1.57 x 4.49

Calculating IMA, we find:

IMA ≈ 69.76

Now, we need to find the Actual Mechanical Advantage (AMA), which can be calculated using the formula:

AMA = Load / Effort

Where:

Load is the weight being lifted (given as 17.80 kN)

Effort is the force applied to turn the screw

Since the screw is being used to lift the load, the Effort is equal to the load.

AMA = 17.80 kin / 17.80 kin

AMA = 1

Now, we can calculate the efficiency using the formula:

Efficiency = (IMA / AMA) x 100%

Efficiency = (69.76 / 1) x 100%

Efficiency ≈ 6976%

The efficiency of the power screw in raising the load is approximately 6976%.

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