1.2 for each of the following 14 functions list the parent function variety parent equation and describe the transformation

Therefore , coordinate problem solution is A) 3140 pulses per minute , B) 2915 beats per minute , C) heartbeat of 2915 beats per minute (D) or 2915.5 beats per minute .

When locating points or other mathematical objects precisely on a region, such as Euclidean space, a coordinate system is a technique that uses one or more numbers or coordinates. Locating a point or item on a the double plane requires the use of coordinates, which are pairs of integers. Two numbers called the x and y vectors are used to define a point's location on a 2D plane. a collection of numbers that indicate specific locations.

Here,

The slope method can be used to calculate the patient's heart rhythm after 42 minutes that use the secant line connecting the points with the specified values of t:

Heartbeat change / time change is the trend.

The heart rate can then be estimated using this slope value along with the number for heartbeats at t = 42 minutes.

A)Using coordinates 36, 2510, and 42, 2915 as examples:

Cardiac rate at 42 minutes = 2510 + (42 - 36) * 75 = 3140 Slope = (2915 - 2510) / (42 - 36) = 75

b) Using coordinates (38, 2647) and (42, 2915), respectively:

Cardiac rate at 42 minutes = 2647 + (42 - 38) * 67 = 2915 Slope = (2915 - 2647) / (42 - 38) = 67

c) Applying the values (40, 2784) and (42, 2915):

Heart rate at 42 minutes = 2784 + (42 - 40) * 65.5 = 2915.5 Slope = (2915 - 2784) / (42 - 40) = 65.5

Using coordinates (42, 2915), and (44, 3048), respectively:

Cardiac rate at 42 minutes = 2915 + (42 - 42) * 66.5 = 2915 Slope: (3048 - 2915) / (44 - 42) = 66.5

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There are \(150\) families in the sample.

Mean of the data \(= 33\) hours.

Median of the data \(= 29.2\) hours.

\(24\) families in the sample turned on the television for \(18\) hours or less for the week.

The \(16\)th percentile of the data is \(18\) hours.

Let \(x\) be the number of families in the sample.

So, size of the sample :

\(\frac{16}{100} \times x = 24\)

\(x=\frac{24 \times 100}{16}\)

\(x=150\)

So, there are \(150\) families in the sample.

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Step-by-step explanation:

please refer to the sketch

The system of the equations to be used to graph the solution of the equation given is y = x² and y = 2x+3

A set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.

Given that, is an equation, x² = 2x+3, we need to find a system of equations that can be graphed to give the solution of the equation given,

So, the equation is x² = 2x+3

We can write this as,

x²-2x-3 = 0

Now, factorize to find the solution of the equation,

x²-3x+x-3 = 0

x(x-3)+1(x-3) = 0

(x+1)(x-3) = 0

x = -1 and x = 3

So, the solution of the equation is -1 and 3

However, if we consider the equation to be two different systems combined, that is the equation of the straight line and the equation of the basic quadratic function,

y = x² and y = 2x+3

Then the solution to is the intersection of the graph of the straight line and the graph of the quadratic curve.

That is the x-coordinates of the points of intersection are the solutions.

Since, the graphs are intersecting at (3, 9) and (-1, 1) [see the graph]

Therefore, the system of equation is y = x² and y = 2x+3

Hence, the system of the equations to be used to graph the solution of the equation given is y = x² and y = 2x+3

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2x - 7/4 = x + 1

-7/4 = -x + 1

-7 = -4x + 4

4x = 11

x = 11/4

The distance it will take to drive from Toronto to buffalo (distance between Toronto and buffalo is 154km) is 1.75 hours.

We are given that;

distance = 154 km speed = 88 km/hr

Now,

we need to use the formula:

time = distance / speed

where time is in hours, distance is in kilometers, and speed is in kilometers per hour.

Plugging these values into the formula, we get:

time = 154 / 88 time ≈ 1.75

Therefore, by speed the answer will be 1.75 hours.

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Answer: C

Step-by-step explanation:

1. divide 3 by 2 to find out how many pounds of blueberries she picked each day. 3/2 is 1.5

2. multiply 1.5 by 16 to convert to ounces. 1.5x16 is 24.

3. she picked 24 ounces of blueberries each day.

The inequality value that would be able to show/x/ ≤ 5 is option A

In mathematics, inequality refers to a mathematical statement that expresses a relationship between two quantities, indicating that one quantity is greater than, less than, or not equal to the other.

The symbol that we have  is telling us that the value of the x would be less than  or it would be seen to be equal to five.

We can see that /x/ ≤ 5 would exclude the negative values and this can be seen in the option that is marked option A

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Answer:4

Step-by-step explanation:

The required explicit formula for the given geometric sequence is aₙ = (aₙ₋₁) * 2⁽ⁿ⁻¹⁾.

The recursive form is given as:

aₙ = aₙ₋₁ * 2

a₁ = 2

To find the common ratio, we can divide each term by its preceding term:

r = aₙ / aₙ₋₁

As per the question, r = 2, since each term is obtained by multiplying the previous term by 2.

The first term, a₁, is given as 2.

To express the sequence in explicit formula form, we can rewrite the recursive form using the index n:

aₙ = (aₙ₋₁) * 2

By substituting (n-1) for the index, we get:

aₙ = (aₙ₋₁) * 2

Hence, the explicit formula is aₙ = (aₙ₋₁) * 2⁽ⁿ⁻¹⁾.

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Answer:

3 1/2

Step-by-step explanation:

-2 1/3 + 5 5/6 =

= -2 2/6 + 5 5/6

= 5 5/6 - 2 2/6

= 3 3/6

= 3 1/2

Write it like this:

-2 1/3 + 5 5/6 =

= -2 2/6 + 5 5/6

= 5 5/6 - 2 2/6

   5 5/6

 - 2 2/6

------------

   3 3/6

3 3/6 = 3 1/2

Answer:

\(3 \frac{1}{2} \)

Answer:

x = 163.5

x = 1.2

Step-by-step explanation:

Recall: SOH CAH TOA

For the first triangle:

Reference angle = 73°

Opposite = x

Adjacent = 50

Apply TOA:

Tan 73° = Opp/Adj

Tan 73° = x/50

50*Tan 73° = x

163.542631 = x

x = 163.5 (nearest tenth)

For the first triangle:

Reference angle = 4°

Opposite = x

Adjacent = 17

Apply TOA:

Tan 4° = Opp/Adj

Tan 4° = x/17

17*Tan 4° = x

1.1887558 = x

x = 1.2 (nearest tenth)

Answer:

No

Step-by-step explanation:

Inconsistent means it has no solution, which means they do not intersect

Dependent means it is the same line

You cannot have both the same line and not intersecting.

The length of y in the triangle is 18.55 units.

A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees. The side y of the triangle can be found using sine law.

Therefore,

a / sin A = b / sin B = c / sin C

Applying the sine law,

y / sin 106 = 15 / sin 51

cross multiply

y sin 51° = 15 sin 106°

divide both sides by sin 51°

y sin 51° / sin 51° = 15 sin 106° / sin 51°

y = 15 sin 106° / sin 51°

Therefore,

y = 15 × 0.96126169593 / 0.77714596145

y = 14.4189254391 / 0.77714596145

y = 18.5536589719

Hence,

y = 18.55 units

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Answer:

1.60x=32.00

Step-by-step explanation:

Since you do not how much gallons of gas he bought you would use the variable x.

Answer:

1.60x=32

Step-by-step explanation:

\((21a^6b^5) / (7a^3b)\) simplifies to \(3a^3b^4.\)

We can use the rules of exponents and simplify the terms with the same base.

Dividing the coefficients: 21 / 7 = 3.

For the variables, you subtract the exponents: \(a^6 / a^3 = a^(^6^-^3^) = a^3.\)

Similarly,\(b^5 / b = b^(5-1) = b^4\).

Putting it all together, the simplified expression is:

\(3a^3b^4.\)

Therefore, \((21a^6b^5) / (7a^3b)\) simplifies to \(3a^3b^4.\)

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Answer:

36 in^3

Step-by-step explanation:

1) find the area of the triangle

A = (leg 1 x leg2)/2 = (3 x 4)/2 = 6 in^2

2) find the volume

V = base area x height = 6 x 6 = 36 in^3

The graphing form of the function g(x) is: C) none of the answer choices.

The function g(x) = \(x^2 + 4x - 7\)is already in the standard form of a quadratic equation. In graphing form, a quadratic equation can be represented as y =\(ax^2 + bx + c,\) where a, b, and c are constants.

Comparing the given function g(x) =\(x^2 + 4x - 7\)with the standard form, we can identify the coefficients:

a = 1 (coefficient of x^2)

b = 4 (coefficient of x)

c = -7 (constant term)

Therefore, the graphing form of the function g(x) is:

C) none of the answer choices

None of the given answer choices (A, B, D, or E) accurately represents the graphing form of the function g(x) =\(x^2 + 4x - 7\). The function is already in the correct form, and there is no equivalent transformation provided in the answer choices. The given options either represent different equations or incorrect transformations of the original function.

In graphing form, the equation y = \(x^2 + 4x - 7\) represents a parabolic curve. The coefficient a determines the concavity of the curve, where a positive value (in this case, 1) indicates an upward-opening parabola.

The coefficients b and c affect the position of the vertex and the intercepts of the curve. To graph the function, one can plot points or use techniques such as completing the square or the quadratic formula to find the vertex and intercepts. Option C

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Answer:

hello your question is incomplete  below is the complete question

A company's human resources department was interested in the average number of years that a person works before retiring. The sample of size 11 follows: 12 16 18 19,21 21, 21,22 24 24 26What is the arithmetic mean, median and mode? what is the most likely shape of the distribution

answer :

i) mean = 20.36

ii) median = 21

iii) mode = 21

iv) The most likely shape is a Bell - shaped curve

Step-by-step explanation:

sample size = 11

values ( observations ) = 12, 16, 18, 19,21,21,21,22,24,24,26

i) mean

 = ∑ values / sample size = 224 / 11 = 20.36

ii) median

median is the value of the data located at the center of the string of data

to determine the middle position = ( n+1 / 2 )

where n = sample size

hence position of median value = 11 + 1 / 2 = 12 / 2 = 6

the value at the 6th position = 21 ( median )

iii) mode

mode = most repeated value in the series of data

hence mode value = 21

Answer:

B, C, G

Step-by-step explanation:

If we look at the graph, it shows that if an employee works for 5 hours, then they will earn $36.25.

We can take 36.25 and divide that by 5 to get the hourly wage.

36.25 ÷ 5 = 7.25

We now know that employees get $7.25 every hour.

Using this we can look back to the graph.

'A' says that if an employee does not work, they will earn $7.25.

We know that this is wrong because if you do not work, then you do not earn money.

Let's look at 'B'.

If employees work for one hour, they will earn $7.25

We know this is correct because we now know the hourly wage.

Let's look at 'C'

If employees work for 4 hours, then they will get a revenue of $29.

We can figure this out by using this equation.

number of hours × hourly wage = total payment

4 × 7.25 = 29

Then this means that this is correct.

Let's look at 'D'

It says that if employees work for 10 hours, they will earn $73

Let's use that same equation again.

10 × 7.25 = 72.5

Employees earn $72.5 for working 10 hours, not $73.

So, this is obviously incorrect.

Let's look at 'E'

It says that if employees work for 3.5 hours, they will get a revenue of $21.75.

3.5 × 7.25 = 25.375

Therefore, this is incorrect.

Now let's take a look at 'F'.

It says that if employees work for 7.25 hours, then they earn $1.

This is incorrect.

And lastly, 'G'.

We know that if you do not work, then you do not earn money.

Therefore, A, B and G are the correct answers.

Student A is correct, this is because 1.75 cups converts to 14 fluid ounces.

D is the correct answer the sequence is 3 , 5 , 7 , 9 .....

HOPE IT HELPS

PLEASE MARK ME AS BRAINLIEST

Answer:

D.

Step-by-step explanation:

Every time we proceed to the next series 2 parallel dots get Added.

Answer:

Step-by-step explanation:

Volume of a cube = l³

where

l is the length of one side

From the question

volume of cube = 10648 cm³

So the length of the wire used is

\( {l}^{3} = 10648 \\ l = \sqrt[3]{10648} \)

We have the final answer as

Hope this helps you

Answer:

hello there

Step-by-step explanation:

we love biden pack 12

Answer:

x = 2.4

Step-by-step explanation:

4x + 5 / x + 7
combine like terms

X + 4x = 5x

5 + 7= 12

12/ 5x

Divide

12 /5= 2.4

X= 2.4

The number of weeks that Vanessa ran for the number of miles given would be = 24 weeks

The amount of distance that Vanessa covers for a week = 4 miles

The amount of weeks it will take for her to cover 96 moles would be = ?

That is;

1 week = 4 miles

X weeks = 96 miles

Make X the subject of formula;

X = 96× 1/4

= 24 weeks

Therefore Vanessa will be able to cover 96 miles in only 24 weeks.

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Answer:

[10 -13]

[-3 14]

Explanation:

First, we will calculate 1/3A, so:

Because 1/3 multiply each value in the matrix. Now, adding the respective values in the same position, we can calculate -B - 1/3A as:

Therefore, the answer is:

Answer:

0.5² + (3/5)²=0.5²+0.6²=0.25+0.36=0.71

Answer:

0.61

Step-by-step explanation:

0.5 squared is equal to 0.25

3/5 squared is equal to 9/25

9/25=0.36

0.36+0.25=0.61

welcome

Answer:

b. 0.08x + 20

Step-by-step explanation:

its B because the price goes up $40 every 500 KW's so

40 divided by 500 = 0.08

The expression used to calculate Naomi's electricity cost after using x kilowatt hours is 0.08x+20. Therefore, option B is the correct answer.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

From the graph we have, (500, 60), (1000, 100), (1500, 140) and (2000, 180).

We know that, slope of a line is Slope=(y2-y1)/(x2-x1)

= (100-60)/500

= 40/500

= 0.08

Substitute m=0.08 and (x, y)=(500, 60) in y=mx+c, we get

60=0.08(500)+c

60=40+c

c=20

Substitute m=0.08 and c=20 in y=mx+c, we get

y=0.08x+20

The expression used to calculate Naomi's electricity cost after using x kilowatt hours is 0.08x+20. Therefore, option B is the correct answer.

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Answer:

The main difference between the fixed quantity and fixed time period is that the fixed quantity makes it mandatory for a fixed number of items to be ordered every time an order is made, while the fixed time period has a fixed period orders are received before the next order period.

Step-by-step explanation:

The fixed quantity model is adopted by producers of a product to maintain a package type and also to maximize the profit derived from sales. For example is when ordering or buying eggs from a store, the buyer cannot purchase five eggs since it is packaged in a dozen (12), and so must buy the whole package.

The fixed time model uses time intervals to receive and accumulate orders before delivery is made for every order interval.