What is the solution of each equation?

2(h - 8) - h = h - 16

a

no solution

b

infinitely many solutions

c

8

d

-8

The probability that the first is a king, the second a diamond and the third a diamond quiz let is 1/13, 1/4 and 10/52 respectively.

Now, we know that there are 52 cards in the deck of cards, and there are 13 cards of each suits i.e. diamonds, spade, heart and clubs. Also there are 12 face cards in total of the deck.

So, the probability if getting the first card is king :

King is a face card and there are 4 kings in the deck so the probability will be :

P(getting 1st card as king) = 4/52 = 1/13.

The probability of getting the second card a diamond is :

we know that there are 13 cards of the diamond in the deck so the probability will be :

P(getting the diamond card) = 13/52 = 1/4.

Now, lastly the probability if getting the diamond quiz let is :

There are 10 flashcards of the diamonds in the deck, so the probability will be :

P(getting the diamond flashcard) = 10/52.

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Answer: so this answer actually answers this question, and the one after it that asks "Question 4 (10 points)  

Show and explain your thought process for Question #3. How did you reach your conclusion? What did you to to find that solution?"

Step-by-step explanation:

In order to find the temperature decrease I have to find 105-98=7 for 0 to 3. then 98-94=4 for 3 to 4; and because between midnight and 3 am is a 3 hour gap, and 3am and 4 am is only a one hour gap I have to multiply it by 3 so it can be exact and fair. So 4*3=12 making "between 3 AM and 4 AM" the correct answer.

DO NOT COPY N PASTE, the teacher will know if you did and you will get an F.

I hope this helps anyone in the future!!

The temperature decreased fastest in between 3 and 4 am.

When some calculation is done for a unit or for 1 on something, is called unit rate.

Given that, The table below shows the temperature, in Death Valley, CA n hours after midnight h (hours after midnight) and T (temp. in °F) 105

When we see, between 0 and 3 am the temperature fall = 105-98 = 7 degrees

It gives that, the temperature fall 7 degrees in 3 hours.

And, between 3 and 4 am, the temperature decreased = 98-94 = 4 degrees

We see that, the temperature fall in 3 hours is 7 and in 1 hour it 4 degrees.

Hence, the fastest fall is in between 3 and 4 am.

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Answer:

88%

Step-by-step explanation:

double both numbers because 50 is half of 100; 2 times 44 is 88 so 44 is 88% of 50

The total interest paid on the 25-year mortgage is given as $134,439.

If you borrow $120,000 at an APR of 7% for 25 years, you will pay $848.13 per month. If you borrow the same amount at the same APR for 30 years, you will pay $798.36 per month.

a. What is the total interest paid on the 25-year mortgage? $134,439.

Thus, it can be seen that the total interest paid on the 25-year mortgage is given as $134,439.

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Answer:

  add the areas of the parts

Step-by-step explanation:

The area of an unusual shape is often easily found by decomposing it into shapes that you have formulas for. Divide the shape into parts, and add the areas of those parts.

__

Alternatively, some shapes are conveniently described by "missing" parts, For example, your "plus shaped" figure may be described as an overall rectangle with rectangles removed from the corners. Then the area of the shape is found by subtracting the missing area from that of the overall rectangle.

__

As a rule, you want the parts to be non-overlapping. That way, you can add the areas of the parts without counting any area twice (or more times). If you have overlapping parts, you need to subtract the area(s) that may be counted multiple times.

__

Sometimes you can take advantage of symmetry, so that you only need to compute part of the total area, then multiply by a factor that takes the symmetry into account.

__

In the attached figure, the dimensions of rectangle A are 6 m wide by 7 m high. The dimensions of rectangle B must be found by adding the width dimensions shown across the top of the figure: 5 m +6 m +6 m = 16 m. It is marked as 4 m high. Then the total area is ...

  area of A + area of B

  = (6 m)(7 m) +(16 m)(4 m)

  = 42 m² +64 m² = 106 m²

This can also be found as the area of the 16 m by 11 m enclosing rectangle, less the two 5 m by 7 m corner cut-outs.

  (16 m)(11 m) -2(5 m)(7 m) = 176 m² -2(35 m²) = 106 m²

Answer:

J. -13-18

Step-by-step explanation:

J will give the value -31

As per Mental hypothesis, the statistical inference procedures that we should use Chi-square test for goodness of fit.

Hypothesis

In probability, an idea or explanation that you then test through study and experimentation is known as hypothesis.

Given,

Here we have given that, an experiment involving peas results in 580 offspring, 152 of which peas have yellow pods. Mendel claimed that the proportion of peas with yellow pods should be 25%. we want to know if these data are consistent with Mendel's hypothesis.

And we need to find in which statistical inference procedures should we use.

According to the definition of Chi-square test for goodness of fit, the claim is that the proportion of peas with yellow pods should be 25%. And then here the researcher wants to check that the experimental and observed counts of yellow offspring peas shows significant difference or not.

So, the statistical procedure used to study this case is Chi-square test for goodness of fit . Hence, option (1) is correct.

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Answer:

x=0

Step-by-step explanation:

First distribut the 6 and 2

6x+6-5x=8+2x-2

Then put the x to one side and the coefficients to the other side

6x-2x-5x=8-2-6

Simplify

-x=0

x=0

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Thanks!

Answer:

One

Step-by-step explanation:

6 |t+3 |  = 0    divide both sides by 6

| t +3 | = 0       so t can only equal ONE value : -3

The distance between the hotel and the victim is approximately 3.57 ft.

To determine the distance between the hotel and the victim, we can use the concept of trigonometry. Let's denote the distance between the hotel and the victim as 'd.'

We know the height of the hotel balcony, which is 428 ft, and the angle of elevation from the shooter to the victim, which is 57 degrees.

Using the tangent function (tan), we can set up the following equation:

tan(57 degrees) = height of the victim / distance between the hotel and the victim

tan(57 degrees) = 5.5 ft / d

To find 'd,' we can rearrange the equation:

d = 5.5 ft / tan(57 degrees)

Using a calculator, we can evaluate this expression:

d ≈ 5.5 ft / tan(57 degrees) ≈ 5.5 ft / 1.5407 ≈ 3.57 ft

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Answer:

The mayor will lose by a large percentage.

Answer:

D??

Step-by-step explanation:

It may be D or A I’m not sure!!

Therefore , the solution of the given problem of expressions comes out to be 3x³ - 8x²+ 2x + 3 is the abbreviated expression in standard form.

With shifting variables, estimates that mix joining, deactivating, and random division should be made. They could accomplish the following if they united: A math problem, some facts, and software. Formulas, parts, and arithmetic operations like additions, subtractions, omissions, and groupings can all be found in a declaration of truth. Both words and sentences can be evaluated and analysed.

Here,

The distributive property of multiplication must be used to multiply the two factors jointly in order to simplify the expression:

=> (x-1)(3x²-5x-3) = x(3x²) - x(5x) - x(3) - 1(3x²) + 1(5x) + 1 (3)

Condensing each term:

=> 3x³ - 5x²- 3x - 3x² + 5x + 3

=> 3x³ - 8x²+ 2x + 3

Therefore, 3x³ - 8x²+ 2x + 3 is the abbreviated expression in standard form.

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The quadratic equation has a range comprised by any real number less than or equal to 5. (Correct choice: C)

In this question we find the figure of the graph of a quadratic equation set on a Cartesian plane. The domain of the function is represented by the set of values along the horizontal axis such that the curve exists and the range of the function is represented by the set of values along the vertical axis such that the curve exists.

After a quick inspection, we find that the set of all values for the range of the quadratic equation is represented by the following inequality:

y ≤ 5

The range of the quadratic equation is represented by the inequality y ≤ 5.

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To Find :

The area of triangle whose side are 4 yard, 14 yard and 17 yard.

Solution :

We will use Heron's formula to find area of the triangle.

So,

\(s = \dfrac{a+b+c}{2}\\\\s = \dfrac{4+14+17}{2}\\\\s = 17.5\)

Now, heron's formula is :

\(A = \sqrt{s(s-a)(s-b)(s-c)}\)

Putting all given values in above equation :

\(A = \sqrt{17.5\times (17.5-4)\times(17.5-14)\times(17.5-17)}\\\\A = \sqrt{17.5\times 13.5\times 3.5\times 0.5}\\\\A = 20.33\ yard^2\)

Hence, this is the required solution.

The graph of this function opens up and all the y-values range from -3 to infinity, so therefore the range is all x≥-3

The range of the function f(x) = |x| – 3 is {f(x) ∈ ℝ | f(x) ≥ –3}. The correct option is A.

The range of a function in mathematics can refer to one of two closely related ideas: The function's codomain a representation of the action A binary relation f between two sets X and Y is a function if there is exactly one y in Y such that f connects x to y for every x in X.

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

The graph of this function opens up and all the y-values range from -3 to infinity, therefore, the range is all x≥-3. The graph is attached with the answer below.

Therefore, the range of the function f(x) = |x| – 3 is {f(x) ∈ ℝ | f(x) ≥ –3}. The correct option is A.

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Answer:

1. 0.85, 8/9, 0.92

The intercepts of y=2(x−7)(x+2) are x = 7 and x = -2 and the standard form is y = 2x^2 - 10x - 28

The function is given as

y=2(x−7)(x+2)

Set the function to 0

2(x−7)(x+2) = 0

Divide by 2

(x−7)(x+2) = 0

Expand

x - 7 = 0 or x + 2 = 0

Solve for x

x = 7 or x = -2

This means that the intercepts of y=2(x−7)(x+2) are x = 7 and x = -2

Also, we have:

y=2(x−7)(x+2)

Expand

y = 2(x^2 - 7x + 2x - 14)

Further, expand

y = 2x^2 - 10x - 28

Hence, the standard form is y = 2x^2 - 10x - 28

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Answer:

hwhe

Step-by-step explanation:

Answer:

Answer: 4 apples and 6 bags of trail mix per pack

Step-by-step explanation:

If Paul has 10 sockets, he would have 61 wrenches based on the expression.

Let's represent the number of sockets by the variable 's'.

We are given that the number of wrenches is eleven more than five times the number of sockets.

To write an expression for the number of wrenches, we can use this information.

The number of wrenches can be calculated by multiplying the number of sockets by five and then adding eleven to the result.

So the expression for the number of wrenches is:

Number of wrenches = 5s + 11

In this expression, '5s' represents five times the number of sockets because we multiply the number of sockets (s) by five.

Then we add eleven to account for the fact that the number of wrenches is eleven more than five times the number of sockets.

For example, if we assume Paul has 10 sockets (s = 10), we can substitute this value into the expression:

Number of wrenches = 5(10) + 11

= 50 + 11

= 61

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Answer:

Nonlinear

Step-by-step explanation:

The function is not in a straight line

Answer:

12.2

Step-by-step explanation:

2^2 + 12^2

2x2=4    12x12=144

4+144=148

the sqrt of 148 is 12.16...

simplified it is 12.2

By running in a bearing of 127°, Paul motion is in the south eastern direction.

Correct responses:

a. Please find attached the required diagram created with MS Visio

b. Paul's distance travelled east is approximately 11.98 km

Given:

The distance Paul runs = 1.5 km

The bearing Paul is running = 127°

a. The bearing of path Paul runs, 127°, is the angle measured in the clockwise direction relative to the northern direction

Please find attached the diagram representing the situation, created with MS Visio.

b. Paul's distance travelled east relative to the starting point is given by the component of Paul's path in the x-axis direction which is found as follows;

Pau's distance travelled in the south direction relative to the starting point

is given by the vertical distance travelled relative to the x-axis, which is

given as follows;

Distance Paul travels south = 1.5 km × sin(37°) ≈ 0.903 km

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The percentage of this monthly fee goes to property taxes is 18%.

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

We need to Write the percent as a fraction in simplest form

16.24%

So, we can rewrite it as;

16.24 / 100

16 and 24/100 or 16 6/25

So the percent as a fraction is 16 6/25

We are given that;

Property taxes each year= $3,196.80

Monthly maintenance fee = $1,480

Now,

To find the percentage of Sarah's monthly maintenance fee that goes to property taxes, we need to divide the annual property tax by the total amount she pays in a year for her condo, which includes the monthly maintenance fee.

First, let's calculate the total amount she pays in a year:

Total annual cost = Monthly cost x 12 months

Total annual cost = $1,480 x 12 = $17,760

Next, let's calculate the percentage of the annual cost that goes to property taxes:

Property tax percentage = (Annual property tax / Total annual cost) x 100%

Property tax percentage = ($3,196.80 / $17,760) x 100%

Property tax percentage = 0.18 x 100%

Property tax percentage = 18%

Therefore, by the given date the percentage will be 18%.

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The probability that exactly three of the marbles Shelby grabs are red is approximately 27.97%.

To find the probability that exactly three of the marbles Shelby grabs are red, we can use the formula for combinations and probability. The probability can be calculated as follows:

Probability = (Number of favorable outcomes) / (Total possible outcomes)

First, we'll find the total possible outcomes by using the combination formula, which is C(n, k) = n! / (k! (n-k)!) where n is the total number of marbles, and k is the number of marbles being grabbed.

Total marbles = 5 red + 3 green + 6 blue = 14 marbles
Total possible outcomes = C(14, 6) = 14! / (6! * (14-6)!) = 3003

Next, we'll find the number of favorable outcomes. To get exactly three red marbles, Shelby must grab 3 red marbles, 2 non-red marbles (green or blue), and 1 more non-red marble (green or blue). We'll find the combinations for each case and multiply them together.

Favorable outcomes = (C(5, 3) * C(9, 3)) = (5! / (3! * (5-3)!)) * (9! / (3! * (9-3)!)) = 10 * 84 = 840

Finally, we'll calculate the probability:

Probability = Favorable outcomes / Total possible outcomes = 840 / 3003 ≈ 0.2797 or 27.97%

So, the probability that exactly three of the marbles Shelby grabs are red is approximately 27.97%.

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It is important to carefully consider the given information and the specific equation being used in order to determine the appropriate method for solving for a specific side of a shape.
Without knowing the specific equation mentioned in the question, it is difficult to determine whether Andre or Mai's approach is correct. However, in general, the equation used to solve for a specific side of a shape depends on the information given about the other sides and angles of the shape.

If the equation involves the known values of angles and/or sides that are not the one being solved for, then either Andre or Mai's approach may be valid, depending on which side or angle is known.

However, if the equation only involves the unknown side and no other information about the shape is given, then neither approach would be correct. In such a case, additional information or equations would be needed to solve for the unknown side.

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We will have the following:

Now, we corroborate with one of the expression, in our case we will analyze y = x^2:

So, the expression taht represents the value given is:

Answer:

For a day VFR flight in a Piper Archer, you would need a fuel reserve of approximately 5 gallons.

Step-by-step explanation:

The amount of fuel reserve that must be carried on a day VFR (Visual Flight Rules) flight, the FAA requires a minimum fuel reserve of 30 minutes at cruising speed for day VFR flights. To calculate the gallons needed for a Piper Archer, follow these steps:

1. Determine the fuel consumption rate of the Piper Archer at cruising speed, which is typically around 10 gallons per hour (GPH).
2. Divide the required fuel reserve minutes (30) by the minutes in an hour (60): 30 / 60 = 0.5 hours.
3. Multiply the fuel consumption rate (10 GPH) by the required fuel reserve time in hours (0.5 hours): 10 * 0.5 = 5 gallons.

Therefore, for a day VFR flight in a Piper Archer, you would need a fuel reserve of approximately 5 gallons.

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The value for the hotspots of the similar triangles ∆ABC and ∆PWR are:

(1). angle B = 68°

(2). PQ = 5cm

(3). BC = 19.5cm

(4). area of ∆PQR = 30cm²

Similar triangles are two triangles that have the same shape, but not necessarily the same size. This means that corresponding angles of the two triangles are equal, and corresponding sides are in proportion.

(1). angle B = 180 - (22 + 90) {sum of interior angles of a triangle}

angle B = 68°

Given that the triangle ∆ABC is similar to the triangle ∆PQR.

(2). PQ/7.5cm = 12cm/18cm

PQ = (12cm × 7.5cm)/18cm {cross multiplication}

PQ = 5cm

(3). 13cm/BC = 12cm/18cm

BC = (13cm × 18cm)/12cm {cross multiplication}

BC = 19.5cm

(4). area of ∆PQR = 1/2 × 12cm × 5cm

area of ∆PQR = 6cm × 5cm

area of ∆PQR = 30cm²

Therefore, the value for the hotspots of the similar triangles ∆ABC and ∆PWR are:

(1). angle B = 68°

(2). PQ = 5cm

(3). BC = 19.5cm

(4). area of ∆PQR = 30cm²

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