(05.05 MC)

Using the two-way table, what percentage of the students that do not like to travel out of state like camping? Round to the nearest whole percent.

Likes Traveling Out of State Does Not Like Traveling Out of State Row totals
Likes Camping 52 38 90
Does Not Like Camping 36 74 110
Column totals 88 112 200
a
32%

b
34%

c
38%

d
42%

AND
(05.05 LC)

Dean collected data on the favorite sports of the students of two grades. The table shows the relative frequencies of rows for the data collected:

Favorite Sport
Swimming Running Volleyball Row totals
Grade 8 0.17 0.24 0.05 0.46
Grade 9 0.14 0.18 0.22 0.54
Column totals 0.31 0.42 0.27 1
Based on the data, which statement is most likely correct?

a
In Grade 8, 17 students liked swimming.

b
In Grade 9, 27% of students liked volleyball.

c
In Grade 9, 14 students liked running.

d
In Grade 9, 18% of students liked running.

Answer:

12

Step-by-step explanation:

3x+5+49=90

3x+54=90

3x=90-54

3x=36

3x/36/3

x=12

Answer:

39°

Step-by-step explanation:

Basically, what you have to do is x+3x+24°=180° (since the measures of all sides inside all triangles is 180°). 4x+24°=180°. 4x=156°. x=39°.

The inverse of the linear graph can be found by interchanging the values of x and y

When a function is stated in the form y = mx + b, where m and b are real integers and m is not equal to 0, the function is said to be linear. A linear graph is the graph of a linear function.  The inverse of a linear graph can be found in two steps -

For example, if the linear function equation is y = 3x + s, the inverse function can be found by swapping x and y, and solving the equation for x: y = 3x + 2 and x = 3y + 2. Alternatively, the inverse function can also be determined by interchanging x and y values and changing the sign of the slope of the original function. Therefore, the inverse function of y = 3x + 2 is x = (2/3)y - 2/3

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Answer:

y = -8[tex]x^{2}[/tex] + 32x + 40

Step-by-step explanation:

y= -8(x-5)(x+1)

y = (-8x + 40) (x + 1)

y = -8[tex]x^{2}[/tex] -8x + 40x + 40

y = -8[tex]x^{2}[/tex] + 32x + 40

Answer:

Angle 1- 36

Angle 2- 90

Angle 3- 54

Angle 4- 36
Angle 5- 90

Angle 6- 54

Angle 7- 128

Angle 8- 54

Angle 9- 128

Angle 10- 54

Angle 11- 36

Angle 12- 144

Angle 13- 36
Angle 14- 144

Answer:

the value of x is 55/9 ok hope it helps

The strength of an earthquake differ for a 1. 0 increment in the Richter magnitude scale by 31 units.

American seismologists Charles F. Richter and Beno Gutenberg developed the Richter scale (ML), a numerical indicator of an earthquake's size, in 1935. The height of the greatest seismic wave, as measured by the logarithm of its amplitude (height), is used to calculate the earthquake's magnitude.

Although the original Richter scale has been supplanted by other, more precise scales in modern science, the Richter scale is still frequently used incorrectly in news reporting of earthquake severity as a catch-all name for the logarithmic scale that earthquakes are measured on.

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The easiest way to determine equivalent expressions for algebraic expression is by using the factoring.

Equivalent expression : In Algebra, equivalent expressions are algebraic expressions that, although they look different, turn out to really be the same. And since they are the same, they will produce the same results when same value substitute for their variables. For example, 3(x + 2) and 3x + 6 are equivalent expressions because the value of both expressions remains the same for any value of x. When writing equivalent expressions, we must be sure that each side of the equal number corresponds to the same number. Using the factoring :

2(xy + 2x). As y see that there is

another common factor, x. So, we

get the result as 2x(y + 2).

Thus, the required equivalent expression is determined.

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The total entry code can create by the dataset given is 17576000.

Assume the entry character that is n. As per requirement given are the first three entry are 3 letter then then n1 = 26 , n2 = 26, n3 = 26. Then, the three after that is a single digit number, so n4 = 10, n5 = 10, n6 = 10. Since we have find the value of each entry character then we can determine total entry code as follow:

Total entry code = n1 x n2 x n3 x n4 x n5 x n6

Total entry code = 26 x 26 x 26 x 10 x 10 x 10 = 26³ x 10³

Total entry code = 17576 x 1000

Total entry code = 17576000

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The exponent form of 1,000,000 is [tex]10^{6}[/tex] and the base of 1,000,000 is 10.

The term 'power' in mathematics refers to increasing a base number to its exponent. It signifies the "base number" and "exponent" as the two fundamental elements of powers.

The exponent represents the number of times the base number is multiplied, whereas the base number is defined as a number multiplied by itself. We can see exponent terms in many scientific notations to denote the large numbers as the powers of 10.

In a nutshell, power is a number expressed using exponents. It means that the same factor is multiplied multiple times.

Thus, The exponent form of 1,000,000 is [tex]10^{6}[/tex] and the base of 1,000,000 is 10.

Complete question: Find a base and exponent form for the following number without using the exponent 1,000,000.

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The base number is described as a number multiplied by itself, whereas the exponent shows how many times the base number has been multiplied. Many scientific notations use exponent terms to identify large values as powers of 10.

In a nutshell, a power is an exponentiated integer. It denotes numerous times of multiplying the same factor.

Answer:

X is 18

Step-by-step explanation:

2/3 = 0.6666666666666667

12 divided by 18 = 0.6666666666666667

The equation for the altitude AR of triangle ABC will be 4y-3x=0 i.e. B.

What is a triangle?

Triangles are polygons in geometry that have three sides and three vertices. This figure is two-dimensional and has three straight sides. A triangle is a three-sided polygon. A triangle's three angles added together equals 180°. A single plane contains the triangle. The triangle is classified into six forms based on its sides and angles.

A triangle is categorized into three categories based on its sides, namely:

Scalene Triangle - Each side has a distinct length.

Isosceles Triangle - A triangle with two sides of equal length and one side of a different length.

Equilateral Triangle - A triangle has three sides that are of the same length.

A triangle is categorized into three categories based on its angles, namely:

Acute Angle Triangle - A triangle with all of its angles smaller than 90°.

Obtuse Angle Triangle - A triangle with one of its angles larger than 90°.

Triangle with a Right Angle - A triangle with one of its angles equal to 90°.

Now,

The general form of the linear line is:

y = mx + c where m is the slope and c is the y-intercept

Step 1: getting the slope:

Since AR is the altitude of ABC, therefore, AR is perpendicular on BC which means that slope of AR = -1/slope of BC

Therefore, we will need to get slope of BC:

We have point B = (0,4) and point C = (3,0)

slope of BC = (y2-y1) / (x2-x1) = (0-4) / (3-0) = -4/3

This means that:

slope of AR = m = 3/4

Step 2: getting the y-intercept:

Since point A belongs to the altitude, therefore, point A satisfies the equation of the line. So, to get the y-intercept, we will use point A to substitute in the equation of the line and solve for c as follows:

y = mx + c

y = (3/4) x + c

0 = (3/4)(0) + c

c = 0

Hence,

           y = (3/4) x

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Answer:

18th day

Step-by-step explanation:

so you basically have to find the Least common multiple

The limit is normally defined as

[tex]lim _{x- > c} f(x) = L[/tex]

It is read as “the limit of f of x, as x approaches c equals L”.

In mathematics, limits are the points at which a function approaches the output for the specified input values. Calculus and mathematical analysis depend heavily on limits, which are required to determine integrals, derivatives, and continuity. It is applied during the analysis process and always focuses on the function's behaviour at a certain time. The idea of the limit of a topological net broadens the definition of the limit of a sequence and relates it to the limit and direct limit in the theory category. In general, there are two sorts of integrals: definite integrals and indefinite integrals. The upper limit and lower limit for definite integrals are correctly defined.

Limits in maths are unique real numbers. Let us consider a real-valued function “f” and the real number “c”, the limit is normally defined as

[tex]lim _{x- > c} f(x) = L[/tex]

It is read as “the limit of f of x, as x approaches c equals L”. The “lim” shows the limit, and fact that function f(x) approaches the limit L as x approaches c is described by the right arrow.

A function may get close to two distinct limits. There are two scenarios: one in which the variable approaches its limit by values larger than the limit, and the other by values smaller than the limit. The right and left-hand limits still exist even though the limit is not specified in this situation.

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Answer:

12 - 3z or 3 .9 - 3z

Step-by-step explanation:

1 - if it is just a "9" and not a "0 .9" the answer is "12-3z". You will have to isolate the expressions with the "z" (the 2z and the z). They have a "-" before them, so they are negative expressions (-2z and -z). When the letter is alone, we supose that is a whole, not a decimal, expression, so it is like "1z". After all, you will have two negative expressions, the "-1z" and the "-2z", then you will just add "-1z" and "-2x" (-1z + (-2z) = -1z -2z = -3z

Now, you will need to add "9" and "+3" (9 + (+3) = 9 + 3 = 12).

Now, you have a "-3z" and the "12", and you will add they (-3z + 12 = 12 + (-3z) = 12 - 3z).

2 - But, if it is a "0 .9" ( "0 .9" is the same of " .9" and not a "9" the answer is "3 .9 - 3z". Now it is the same as the number 1 (just do the same from the "You will have" to the "-1z -2z = -3z".

Now, you need to add "0 .9" and "+3" ( .9 + (+3) = .9 + 3 = 3 .9).

So, you have the "-3z" and the "3 .9", and you need to add them ( 3 .9 + (-3z) = 3 .9 - 3z ).

I recommend you to study more of rule of signs, like (-) + (-) = (+) and things like this.

Hope that I could help you

Answer: Sam here it

Step-by-step explanation:

Algebraic expression for the total cost of renting the Quad for h hours is $80 + $10h. Cost of renting the Quad for three and a half hours is $115.

A mathematical sentence that incorporates coefficients, unknowable variables, algebraic operations, and constants is called an algebraic expression. The equals symbol, however, is not allowed in an expression. A mathematical phrase known as an algebraic expression combines variables and constants using the operational (+, -, & &) symbols. The equal (=) symbol is absent from algebraic symbols. Algebraic expressions include, for example, 10x + 63 and 5x - 3.

The rental fee for a Quad is $80 and it costs an additional $10.00 for each hour that you ride. So the total cost of renting the Quad for h hours can be represented by the algebraic expression:

$80 + $10h

where h is the number of hours you rent.

To find the cost of renting the Quad for three and a half hours, we can substitute h = 3.5 into the expression:

$80 + $10(3.5) = $80 + $35 = $115

So the total cost of renting the Quad for three and a half hours is $115.

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The concept is the Concave function. The answer is yes if the inverse function is convex in nature.

In mathematics, a concave function is the opposite of a convex function. A concave feature is also referred to as downward concave, downward concave, upward convex, vertex convex, or top convex.

The slope of the inverse decreases as the slope of f increases. Thus the inverse of a convex differentiable function with a non-zero derivative is strictly concave.

In general, it can be shown that the inverse of a convex function is concave. Geometrically, a function is concave if its graph lies across its tangents. A function is concave if its graph lies below its tangent.

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Answer:

3 slices

Step-by-step explanation:

37.5% = 0.375

We take

8 times 0.375 = 3 slices

So, 3 slices of pie remain after dinner.

Answer:

[tex](5-2c^{2}) c^{3}[/tex]

Step-by-step explanation:

Factor out [tex]c^{3}[/tex]

[tex](5-2c^{2})[/tex] is not factored since it does not have any rational roots.

The total cost of buying and shipping the baseball cards is given as follows:

$396.

The total cost is obtained applying the proportions in the context of this problem, considering the state of each card.

The amounts, along with their cost, are given as follows:

Hence the total cost of buying and shipping the baseball cards is obtained as follows:

42 + 190 + 164 = $396.

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When solving systems of equation with three variables we use the elimination method or the substitution method to make a system of two equations in two variables.

There are several methods to solve a system of equations with three variables, including substitution, elimination, and graphing. One common method is to use elimination, also known as the addition/subtraction method. This involves adding or subtracting equations in order to eliminate one of the variables and creating an equation with only two variables. Once you have a system of two equations with two variables, you can solve for one of the variables, substitute that value back into one of the original equations, and then solve for the remaining variable. After that you can use the value of the variables to find the values of the other variables.

Hence, When solving systems of equation with three variables we use the elimination method or the substitution method to make a system of two equations in two variables.

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The length of TS  in ΔTRS using Similarity of triange is 12 cm .

If two items have the same shape or have the same shape as their mirror images, they are said to be Similar. One can be produced from the other more accurately by evenly scaling it, perhaps with the addition of further translation, rotation, and reflection.

If the sides are in the same ratio or proportion and the angles are equal (corresponding angles), two triangles will be comparable (corresponding sides). Similar triangles may have varying individual side lengths, but they must have equal angles and the same scale factor or matching ratio of the side lengths. If two triangles resemble one another, then

In ΔTPQ and ΔTPS

∠T is common in both triangle

PQ ║ RS

∴∠TPQ = ∠TRS (Corresponding Angles)

similarly ,

∠TQP = ∠TSR

∴ Δ TPQ ~ ΔTRS

So,

PQ/ RS = TQ/ TS

⇒ 2/ 6 = 4 / TS

⇒TS = (4*6)/2  = 12

The length of TS  in ΔTRS using Similarity of triange is 12 cm .

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The equivalent expression for 4x + 9 + 3y + 3x + 4 is 7x + 3y + 13.

What is a good example of an equivalent expression?

Example Expressions Expressions  That Are Equivalent Equivalent

Because both expressions have the same value for any value of x, 3(x + 2) and 3x + 6 are identical expressions. 3x + 6 = 3 × 4 + 6 = 18.

To write an equivalent expression, we can simplify the expression by combining like terms:

4x + 3x = 7x

9 + 4 = 13

So, the equivalent expression for 4x + 9 + 3y + 3x + 4 is 7x + 3y + 13.

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The expression would be "4 + (7 - m)" .

This expression takes the value of m, subtracts it from 7, and then adds the result to 4.

The midpoint of side AB is (0,-1)

How to find the midpoint of the Triangle?

To find the midpoint of a line segment, you need to find the average of the x-coordinates and the average of the y-coordinates of the two endpoints of the segment.

To find the midpoint of a line segment, you need to find the average of the x-coordinates and the average of the y-coordinates of the two endpoints of the segment.

The midpoint of side AB can be found using the coordinates of points A and B:

Midpoint = ((x1 + x2)/2, (y1 + y2)/2)

Midpoint = ((2 -2)/2, (-3+1)/2)

Midpoint = (0,-1)

Hence, the midpoint of side AB is (0,-1)

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The undefined terms of ray are-

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Answer:

2^1010 x 5^1011

Step-by-step explanation:

This expression can be simplified by combining the exponents of the similar bases.

2^2010 x 5^2011 / 10^1000 = (2^2010 x 5^2011) / (2^1000 x 5^1000)

= (2^1010 x 5^1011) / 10^1000

The final answer is 2^1010 x 5^1011.

The arrow point to the left for the inequality x < 17.

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.

Given that inequality is x < 17. When the inequality is plotted on the graph it will highlight the values that are less than the number 17. The graph of the inequality is attached with the answer below.

Hence, the arrow for the given inequality will point to the left side.

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The zeros of polynomial function f(x) = x³ - 2x² - 24x are x = 0, x = -4 and x = 6

Consider given function  f(x) = x³ - 2x² - 24x

We know that the zeros of a function are nothing but the values of the variable of the function that makes the function value equal to 0.

To find the zeros of function f(x), we need to equate f(x) to zero then solve it for x.

⇒ f(x) = 0

⇒  x³ - 2x² - 24x = 0

⇒  x (x² - 2x - 24) = 0

⇒ x = 0   OR   x² - 2x - 24 = 0

Now we solve quadratic equation x² - 2x - 24 = 0

x² - 2x - 24 = 0

x² - 6x + 4x - 24 = 0

(x - 6)(x + 4) = 0

x = 6      OR  x = -4

Thus x = 0, x = -4 and x = 6 are zeros of given polynomial function.

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The complete question is:

What are the zeros of the polynomial function f(x) = x³ - 2x² - 24x?.