………………helppppppppppp

Using the given linear functions, it is found that:

a) The test average for your math class after completing test 2 is of 76.6.

b) The test average for your science class after completing test 2 is of 84.

c) The science class had a higher average after completing test 4.

The grades change by a constant rate in each of the classes, science and math, hence the functions are called linear.

The average grade function, after x tests, for each class, is defined according to the following rule:

After the second test, the numeric values for items a and b are found replacing the lone instance of x in each equation by 2, hence the grades are as follows:

After the fourth test, the grades are given as follows:

80 > 77.2, hence the science class had a higher average.

The science class grade after test x is given by the following rule:

g(x) = 88 - 2x.

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Answer:24 kids

Step-by-step explanation: a dozen is equal to 12 so 12+12=24

The unit cost for a pair of shoes at FootAction is $33.33.

The unit cost is a function of the total cost divided by the number of units.

The unit cost is the cost per one (pair).

The unit cost is also described as the unit rate, which gives a unit's cost.

Unit costs can be computed using a division operation.

The cost of 2 pairs of Nikes at FootLocker = $69.98

The cost of 3 pairs of shoes at FootAction = $99.99

1 pair of shoes at FootAction will cost = $33.33 ($99.99/3)

Thus, based on their unit costs, we can conclude that a pair of shoes costs $34.99 at FootLocker and $33.33 at FootAction.

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Answer:

Step-by-step explanation:

lets represent:

Hours of Loading and Unloading = X

Hours of packing = y

Weekday move: 8 hours of loading and unloading services. 6 hours of packing and unpacking service. $890 total cost.

Equation 1:  18x + 6y = 890

Weekend Move: 5 hours of loading and unloading services. 3 hours of packing and unpacking services. $515 total cost.

Equation 2:  5x + 3y = 515

-

Multiply Equation 1 by 5 and Equation 2 by 4

Equation 3:  90x + 30y = 4450

Equation 4: 20x + 12y = 2060

We Subtract Equation 4 from 3

70x = 2390

x = 2390/70

x = $34.14

Solving for y

-Equation 1-

18x + 6y = 890

18(24.14) + 6y = 890

434.52 + 6y = 890

6y = 890 - 434.52

6y = 455.48

y = 75.91

y = $75.91

Hours of Loading and Unloading rates= x = $34.14

Hours of packing rates = y = $75.91

Answer: 28 hours

Step-by-step explanation:

[tex]V=7(4)(1.2)\\\\v=33.6\ m^3[/tex]

[tex]\displaystyle\\20\ l/min=\\\\\frac{20(60)}{1000} =\\\\\frac{1200}{1000}=\\\\1.2\ m^3/hour[/tex]

[tex]\displaystyle\\v=\frac{V}{t} \\[/tex]

Multiply both parts of the equation by t(t≠0):

[tex]vt=V[/tex]

Divide both parts of the equation by v (v≠0):

[tex]\displaystyle\\t=\frac{V}{v} \\\\t=\frac{33.6}{1.2} \\\\t=28 \ hours[/tex]

Answer:

We need to find the volume first.

We will use our famous volume of a rectangular solid formula:

V = l x w x h

So, V = 12 x 7 x 1.2 = 100.8 cubic meters.

Now, cost = 100.8 x 27.25 = 2746.8 PHP

Conclusion:The water will cost PHP 2,746.8.

Considering the definition of an equation and the way to solve it, the price of a T-shirt was $11.

An equation is an algebraic equality between two expressions, called members, in which letters (unknowns) appear with unknown value. These unknown values appear related to known elements through mathematical operations.

The equality between two algebraic expressions is only verified or true for certain values of the unknown. So finding the solution to an equation involves finding the value that satisfies the equality.

To solve an equation, keep in mind:

Being "x" the cost of one T-shirt, you know that:

The total purchase can be calculated through the equation:

Total purchase =  Cost of book + Cost of T-Shirt

Substituting the corresponding values:

23= 12 + x

Solving:

23 - 12= x

11=x

Finally, a T-shirt cost $11.

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the angle is a reflex angle

reflex angle is when two sum of angles is 90

equating both angle to 90

X = 90

That should be the answer

Answer:

15/20-8/20

Step-by-step explanation:

3/4-2/5=0.35

15/20-8/20=0.35

It is equivalent.

The width of each column is 2 inches.

Width is the measurement of something from side to side.

Let x = width of each column.

If a "gutter" is one eighth as wide as each column, then the width of the gutter can be expressed as

gutter = (1/8)x

If the document is 8.5 in. wide, then the sum of the widths of the left and right margins, the 3 columns and the 2 gutters in between columns is equal to 8.5 in.

left margin + right margin + 3 columns + 2 gutters = 8.5in

1 in + 1 in + 3x + 2(1/8)x = 8.5 in

3x + 2(1/8)x = 8.5 in - 1 in - 1 in

3 1/4 x = 6.5 in

x = 2 in

width of each column = 2 inches

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For the student the lift increased for the weight will be 50%.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

A student doing resistance exercise.

After one week, She can lift the weight = 2 kg

And, After four weeks, she can lift the weight = 3 kg

Since, We know that;

Percent = (increased weight - Actual weight) / Actual weight  x 100

Substitute all the values, we get;

Increased percent = (3 - 2) / 2 x 100

Increased percent = 1 / 2 x 100

Increased percent = 100 / 2

Increased percent = 50%

Therefore,

For the student the lift increased for the weight will be 50%.

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The best estimate of the cost of renting a car if you plan to drive 268 miles is 234.72 or round off to 235 dollars.

There must be an equal sign (=) in an equation. You can imagine an equation as having a left side and a right side since there will be a mathematical expression on either side of it. Unknowns are a necessary part of algebraic equations. A symbol, such as x, y, or z, is used to symbolize this.

According to the given values in the question,

y = 0.54x + 90

Where y represents the cost of renting the car and x represents the number of miles.

The plan is to drive 268 miles, so the cost according to that will be :

y = 0.54(268) + 90

y = 234.72 or,

y = 235.

Hence, the round-off cost will be 235 dollars.

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Answer:

x³ + 8x² + 11x - 20

Step-by-step explanation:

(x + 5)(x² + 3x - 4) =

= (x + 5)[x² + 3x + (-4)] =

= (x + 5)(x²) + (x + 5)(3x) + (x + 5)(-4)

= x³ + 5x² + 3x² + 15x + (-4x) + (-20)

= x³ + 8x² + 11x - 20

to make a perpendicular function from another we must take its slope and make two transformations

the slope of y=1/3x is 1/3

the transformations:

1.

reverse the number

2.

and change the sign

ok we have the slope now need the general equation of the line

where m is the slope , b a cut point and (x,y) a point

so, we have the slope=-3 , and the point (2,-3) we can replace to find b

now we can replace b and the slope to have the final equation

Answer:

No

Step-by-step explanation:

If you turn 3/5 in the decimal form it becomes 0.6 and 0.35∠0.6

Answer:

5y=3x+5

Step-by-step explanation:

y-(-2) 1-(-2)

_____ = _____

x-(-5) 0-(-5)

y+2 3

____ = __

x+5 5

5y+10=3x+15

5y=3x+5

The value of cos I as a fraction in simplest terms is 4/5.

This is a problem based on trigonometry. Trigonometry is a field of mathematics that explores the connections between triangle side lengths and angles. The length of the hypotenuse is 25. The length of the perpendicular is 15. The length of the base is unknown. We know that the angle ∠IJK = 90°.

We need to find the value of Cos(I). But we don't know the value of the length of the base of the triangle. So, we will first find Sin(I).

Sin(I) = 15/25

Sin(I) = 3/5

We know the trigonometric identity that Sin²θ + Cos²θ = 1.

Sin²I + Cos²I = 1

Cos²I = 1 - Sin²I

Cos²I = 1 - (3/5)²

Cos²I = 1 - (9/25)

Cos²I = (25 - 9)/25

Cos²I = 16/25

Cos(I) = √(16/25)

Cos(I) = 4/5

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Since Vito's bid is the highest, he gets the bus and has to compensate the others to make the division fair. The amount of money that Tim get from Vito is: $1,581.25.

Fair shares:

Rob: 3600 4 = 900

Sue: 5000 /4 = 1250

Tim: 4800 / 4 = 1200

Vito: 6500 / 5 = 1625

Since Vito gets the bus the amount he pay the group is:

Amount = 6500 - 1625

Amount = 4,875

Since everybody gets their fair share, the amount remaining is:

Amount left = 4,875 - 900 - 1250 - 1,200

Amount left = 1,525

Hence,

The amount Tim get is calculated as :

Amount = 1200 + (1525 /4)

Amount  = $1,581.25

Therefore Tim get $1,581.25.

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Explanation

Step 1

Let

initial position= 10m

Answer: L = 90, k = 75, M = 51

Step-by-step explanation:

1) Find angle L

It is a right angle so its 90 degrees

L = 90

2) Find x

You know these angles add up to 180-90 because triangles' angles add up to 180 and you need to minus 90 from the right angle.

(5x-9)+(4x+27) = 180 - 90

9x+18 = 90

9x = 108

x = 12

3) Solve angle k

k = 4x+27

k = 4(12) + 27

k = 48+27

k = 75

4) Solve angle M

M = 5x-9

M = 5(12)-9

M = 60-9

M = 51

The conclusion regarding the statement is true will be f(-2) = g(-2). Then the correct option is D.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

From the graph, the lines intersect at (-2, 4). That means the value of the functions f(x) and g(x) will be 4 at x = -2.

The conclusion regarding the statement is true will be f(-2) = g(-2). Then the correct option is D.

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The complete question is attached below.

The change in the elevation of the hiker is -59 feet.

A geographic location's elevation is its height above or below a set reference point, most typically a reference geoid, which is a mathematical model of the Earth's sea level as an equipotential gravitational surface.

The elevation is defined as the distance above sea level. Elevations are often expressed in meters or feet. Contour lines, which connect places of the same height, can be used to depict them on maps. Elevation is described as the height above the ground or other surface, as well as the location or position of elevation. A plane flying 36,000 feet above the ground is an illustration of elevation.

In this case, a hiker starts at an elevation of 27 feet above sea level and descends 32 feet during her hike to base camp.

This will be illustrated as:

= -32 - 27

= -59

The change in elevation is the difference in the values given.

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Answer:

Its D 59 feet below sea level

Step-by-step explanation:

i know im late but thought that counts

Yes, the relation forms a function.

What is a function?

A function is uniquely represented by the set of all pairings (x,f (x)), known as the function graph, which is a popular way of showing the function. When the domain and codomain are real number sets, each pair may be thought of as the Cartesian coordinates of a point in the plane. Functions are frequently employed in science, engineering, and the majority of mathematical areas. Functions are claimed to be "the central objects of research" in most branches of mathematics. A function's range or image is the set of images of all items in the domain. A partial function is a univalent binary relation, whereas a function is a univalent and total binary relation.

Yes, the relation forms a function.

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The population parameter value and the point estimate differ because a sample is not a census of the entire population, but it is being used to develop the point estimate.

From the question:

The population parameter value and the point estimate differ because a sample is not a census of the entire population , but it is being used to develop the point estimate.

Sample proportion p, is a point estimate of the population proportion.

So it is proved that correct option is point estimate.

Hence the population parameter value and the point estimate differ because a sample is not a census of the entire population, but it is being used to develop the point estimate.

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Answer:

I don't think so. It's a coincidence -- maybe. But it's a fun question to answer.

Step-by-step explanation:

Comment

So ice cream on this particular beach causes more sharks to come closer to shore and attack. That's the premise.

I'd like to say it is a coincidence, or the data is biased in some way, but there is no way of telling without checking out the stats (which I would guess there are none).

Perhaps sharks like sugar and lot of someones drop their ice cream cones in the water. It's a test. Or it could be made into one.

Perhaps the sharks are annoyed by the ice cream and take it out on the person holding the ice cream. Again it's a test.

Perhaps they smell the ice cream and are attracted to it. I wouldn't want to test this with offering a shark a sugar cube put in water.

Answer: 32 dollars each week

Step-by-step explanation: Divide 768 by 24 and get 32

Answer:

32$ each week.

Step-by-step explanation:

This is simply division. 768 divided by 24 equals 32.

Answer:

Slope = -9/7

Step-by-step explanation:

       (-3 , 7) ⇒  x₁= -3 & y₁ = 7

       (4 , -2)   ⇒ x₂ = 4  & y₂ = -2

 [tex]\sf \boxed{Slope = \dfrac{y_2-y_1}{x_2-x_1}}[/tex]

             [tex]\sf = \dfrac{-2-7}{4-[-3]}\\\\=\dfrac{-9}{4+3}\\\\=\dfrac{-9}{7}[/tex]

The discount on the price is $1480.

Thus, the new price is $17,020.

Discount is derived from the archaic French word descompte, which refers to reversing a calculation. A discount is a sum that is subtracted from the original price, frequently stated as a percentage.

Given:

The price of the car before the discount was = $18,500

Discount on the compact car = 8% = 8/100 = 0.08

The discount price can be calculated using the formula,

Discount = Discount percentage × Original price

               = 0.08 × $18,500

              = $1480

New Price of the car after the discount = Original Price - Discount price

                                                                 = $18,500 - $1480

                                                                 = $17,020

The discount on the price is $1480.

Thus, the new price is $17,020.

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We have the following:

We can calculate the angle by means of the trigonometric cosine ratios, as follows:

replacing:

Therefore the angle formed is 57.6 degrees

So if you let x and y be the two numbers...

the sum of the two means you add them together... so you get:

x+y=56: the difference means you subtract them.. so

x-y = 16

now you have two equations and two unknowns... which you can solve with various methods... you can use elimination, substitution, or trial and error.

x+y=56

x-y = 16

I will use the elimination method: Because there is a plus y and a negative you cancel that out and add the 2x's. Therefore:

2x=72

x=36

Now, you can plug 36 into one of your original equations:

36+y=56

y=20

Those are your two numbers!