Michel is taking 4 credit hours of courses at his local community college. Each credit hour costs $110.50. He is also to pay three technology fees of $19.25. Determine the total amount that he will pay in tuition.

The zeroes of the parabola is -1, -5.

What is parabola and zeroes of parabola?

A parabola refers to an equation of a curve, such that a point on the curve is equidistant from a fixed point, and a fixed line. The fixed point is called the focus of the parabola, and the fixed line is called the directrix of the parabola.

The equation of parabola can be expressed in two different ways, such as the standard form and the vertex form. The standard form of parabola equation is expressed as follows:

f(x) = y= ax2 + bx + c

To find zeroes of parabola

x = -b ±[tex]\sqrt{b^{2}-4ac } /2[/tex]

Given equation is

f(x) = [tex]x^{2} +6x+5[/tex]

a = 1, b = 6, c = 5

x = -6 ±[tex]\sqrt{36-4(5)}[/tex]/2

x = -6 ±[tex]\sqrt{16} /2[/tex]

x = -6 ± 4 /2

hence,

x = -6-4/2 and x = -6 +4/2

x = -5 or x = -1

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Answer:

14-3x=25

Step-by-step explanation:

-3x=25+14

-3x=39

-3 -3

x = -13

Answer:

a. -1 + (-3)

b. -9 + 5

Step-by-step explanation:

the sum of two numbers = -4

a.

two addends have the same sign

Since the sum is negative, then both addends must be negative.

Answer: -1 + (-3) =

b.

two addends have different signs

One addend is positive, and one addend is negative. Since the sum is negative, then the addend with the greater absolute value must be negative.

Answer: -9 + 5 =

The highest value you would still hold the stock is $23.97

From the question, the given parameters about the distribution are

Mean value of the set of data = $26.94

Standard deviation value of the set of data = $3.54

Proportion = Highest 20%

This means that the p value is

p = 20%

Express as decimal

p = 0.2

At a p value of 0.2, the z-score is

z = -0.84

The z-score of the data value is calculated using the following formula

z = (x - mean value)/standard deviation

Substitute the given parameters in the above equation

-0.84 = (x - 26.94)/3.54

Cross multiply in the above equation

So, we have

x - 26.94 = -0.84 * 3.54

Evaluate the products

x - 26.94 = -2.97

Add 26.94 to both sides of the equation

So, we have the following representation

x = 26.94 -2.97

Evaluate the difference

x = 23.97

Hence, the highest value is 23.97

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The proposition ~ (~ q ⇒ p) ⇒ ~ q represents a tautology, as it is true for all combinations of p and q.

Propositions are constructions that contains a truth value, which are two according to classical logic (T - true, F - false). There are simple propositions and compound propositions. Compound propositions are formed by combining simple propositions and operators. There are the following operators:

A tautology is a compound proposition that is always true. We can prove whether a proposition is a tautology by the use of a truth table:

p        q      ~ q       ~ q ⇒ p        ~ (~ q ⇒ p)       ~ (~ q ⇒ p) ⇒ ~ q

T        T        F              T                      F                           T

T        F        T              T                      F                           T

F        T        F              T                      F                           T

F        F        T              F                      T                           T

The proposition ~ (~ q ⇒ p) ⇒ ~ q is a tautology.

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Answer:

Step-by-step explanation:

2+2=4

4+5=9

0+9=9

Answer:

4, 9 , 9 OR 4 + 9 + 9 = 22

Step-by-step explanation:

The greatest number of cans each stack can have is 10.

What is Greatest Common Divisor (GCD)?

The number that divides two or more numbers most precisely by itself is said to be the greatest common divisor (GCD) of those numbers. It is also defined as the highest common factor (HCF).

If a and b are two numbers then the greatest common divisor of both numbers is denoted by GCD(a, b).

Given, Total number of cola cans = 150

            Total number of fruit juice cans = 260

According to the question condition, we need to find GCD (150,260)

Now, the prime factorization of 150 and 260 are:

150= 2 x 3 x 5 x 5

260 = 2 x 2 x 5 x  13

So, common factor = 2 x 5 = 10

Then, GCD (150,260) = 10

Hence, the greatest number of cans in each stack can have 10.

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Presley have 1 bracelets left  and the expression which shows the difference is (9x - 10) - (4x + 5) .

What is linear polynomial equation?

Any polynomial written as the equation p(x) = ax + b, with a and b being real numbers and a 0, is referred to as a linear polynomial. The largest exponent of the variable in a linear polynomial, or one, is known as the degree of the variable.

If n elements are given and x element is subtracted from the n elements, hence the remaining element is y,  then expression can be expressed by n- x = y.

We have,

             (9x - 10)

             (4x + 5)          

Initially Presley has (9x - 10) bracelets and she sells (4x + 5), hence we have to calculate the remaining bracelets.

Therefore,

                         (9x - 10) - (4x + 5)      

By simplifying the above equation we get,

= 9x - 10 - 4x + 5

= 5x -5

x = 5 / 5

∴ x = 1

Hence, the Presley have 1 bracelets left.

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Yes, Wilson is right since "negative numbers" don't exist when you find the absolute value.

Therefore, Wilson is correct as there is no negative term in absolute value.

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standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

[tex](\stackrel{x_1}{-4}~,~\stackrel{y_1}{1})\hspace{10em} \stackrel{slope}{m} ~=~ 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{ 3}(x-\stackrel{x_1}{(-4)}) \implies y -1= 3 (x +4) \\\\\\ y-1=3x+12\implies y=3x+13\implies -3x+y=13\implies \boxed{3x-y=-13}[/tex]

The fraction of the students taking the test exceeded your score will be 47 / 250.

The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.

Assume that a public testing administration gives a test in which the outcomes are regularly dispersed with a mean of 550 and a standard deviation of 85. On the off chance that you score a 625 on the test.

Then the fraction of the students taking the test exceeded your score will be given as,

z = (625 - 550) / 85

z = 75 / 85

z = 0.8824

Then the fraction is given as,

P(x > 625) = P(z > 0.8824)

P(x > 625) = 0.188

P(x > 625) = 47 / 250

The fraction of the students taking the test exceeded your score will be 47 / 250.

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The generalized rule of the indices to be negative fraction can be written as [tex]a^{-m/n} =(\sqrt[n]{a})^{-m}[/tex].

Index (indices) in Maths is the power or exponent which is raised to a number or a variable.

An algebraic expression is a quantity made up of symbols and processes + - / and multiplication Expressions utilizing indices are made simpler using the laws of indices.

Let's consider a negative fraction exponent as, [tex]a^{-m/n}[/tex]

[tex]a^{-m/n}=1/a^{m/n}[/tex]

Since,[tex]a^{-m/n} =(\sqrt[n]{a})^{-m}[/tex]

Therefore, the above expression converts as,

[tex]a^{-m/n} =1/(\sqrt[n]{a})^{-m}[/tex]

[tex]a^{-m/n} =(\sqrt[n]{a})^{-m}[/tex]

Hence "The generalized rule of the indices to be negative fraction can be written as  [tex]a^{-m/n} =(\sqrt[n]{a})^{-m}[/tex].".

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$2322.2 more the account be worth after 9 years by calculating interest compounded quarterly versus calculating simple interest.

Given that, principal = $1700, rate of interest = 2.7% and time period = 9 years.

Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.

Simple interest is calculated with the following formula: S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years.

Here, simple interest = (1700×2.7×9)/100

= 41310/100

= $413.10

Amount = Principal + Simple interest

= 1700+413.10

= $2113.1

Compound interest:

[tex]Amount=P(1+\frac{R}{100} )^{nt}[/tex]

[tex]=1700(1+\frac{2.7}{100} )^{4\times9}[/tex]

[tex]=1700(1.027)^{36}[/tex]

= 1700×2.609

= $4435.3

Now, 4435.3-2113.1=$2322.2

Therefore, $2322.2 more the account be worth after 9 years by calculating interest compounded quarterly versus calculating simple interest.

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The pairs of events, A and B, that are disjoint include option A and B.

It should be noted that disjoint events simony means the events that are mutually exclusive as they can't occur at the same time.

For option A, because a person can be either male or female but not both, events A and B are disjoint.

For B, because the person already earns more than $100,000, events A and B are not disjoint.

For C, because the sum of two dice cannot be three when one die is three, events A and B are disjoint.

Therefore, A and C are disjoint.

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Complete question

Which of the following pairs of events, A and B, are disjoint?

(a) A person is selected at random. A is the event "sex of the person selected is male" and B is the event "sex of the person selected is female."

disjoint / not disjoint

(b) A person is selected at random. A is the event "the person selected earns more than $100,000 per year" and B is the event "the person selected earns more than $250,000 per year."

disjoint / not disjoint

(c) A pair of dice are tossed. A is the event "one of the dice is a 3" and B is the event "the sum of the two dice is 3."

disjoint / not disjoint

3x - 2 (2.3x + 2.5)  = -1.6x-5 are equivalent expressions while 5 - 3 (-1.6x - 2.1) = 4.8x - 1.3 are not equivalent expressions

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we substitute the same value(s) for the variable(s)

Given: 3x - 2 (2.3x + 2.5) = -1.6x -5 and 5 - 3 (-1.6x - 2.1) = 4.8x - 1.3

For 3x - 2 (2.3x + 2.5):

First, clear the parenthesis by using -2 to multiply what's in the parenthesis. Then add/subtract like terms:    

3x - 2 (2.3x + 2.5) =  3x-4.6x- 5 = -1.6x-5          

For 5 - 3 (-1.6x - 2.1) = 4.8x - 1.3:

First, clear the parenthesis by using -3 to multiply what's in the parenthesis. Then add/subtract like terms:  

5 - 3 (-1.6x - 2.1) = 5 + 4.8x + 6.3  = 4.8x + 11.3

Since 3x - 2 (2.3x + 2.5) is equal to  -1.6x-5 and  5 - 3 (-1.6x - 2.1) is not equal to 4.8x - 1.3.

Therefore, 3x - 2 (2.3x + 2.5)  = -1.6x-5 are equivalent expressions and 5 - 3 (-1.6x - 2.1) = 4.8x - 1.3 are not equivalent expressions

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(3.201 x 10^9) * (4.85 x 10^3) =

15524850000000

in scientifc notation

1.552485 x 10^13

Answer: 42.86%

Step-by-step explanation: 120/280*100 = 42.86%

Answer:

  3

Step-by-step explanation:

You want the value of f(2) for the graphed function.

The value of the function f(a) is the y-coordinate of the point that has 'a' as its x-coordinate.

Finding the function value requires you locate x=a on the horizontal axis. Where the graph crosses that vertical line, the y-coordinate is the function value.

Here, the vertical line x=2 meets the function graph at the dot with coordinates (2, 3). The y-value there is 3, so ...

  f(2) = 3

Answer:  [D]:  " 3 " ;  [that is; f(2) = 3 ].
____
We are asked to:

Evaluate the given function for f(2) ; within the given image.

By examination of the graph, we can verify that the graph is, in fact, a function—by using the vertical line test.
  We find that no value for x shares more than one y-value; which means that the graph is a function.

____

Note that for a function:   f(x) = y .  

So;  To find f(2) :
____
Note:  f(2)  =  the "[ y - coordinate/corresponding value for y ]" ;  

                       ⇒  when " x = 2 ".

So; looking at the graph:   We see that when  " x = 2 " ;  →  " y = 3 " .
        → {Examine the co-ordinate/point:  (2, 3) —that is part of the graph.}

So;  f(2) = 3 ;  which is Answer choice:  [D]:  " 3 ."
______

Hope this is helpful to you.  Best wishes!
______

Answer:

Step-by-step explanation:

Answer:

1,344

Step-by-step explanation:

First, find how many steps he climbs every day

32*6=192

Now, multiply that by 7 to see how many he climbs in a week

192*7=1,344

Answer:

$10,000 invested at 5%

$20,000 invested at 8%

Step-by-step explanation:

1. Let x = the amount of money invested at 5%, and y = the amount of money invested at 8%.

   x + y = 30,000 (the total amount invested)

   0.05x + 0.08y = 2,100 (the total interest earned)

2. Solve the system by whatever method you choose.

The value of the larger number and the smaller number are 25 and 8 respectively.

Simultaneous equations are two or more algebraic equations that share variables e.g. x and y.

They are called simultaneous equations because the equations are solved at the same time.

If the bigger value is represented by x and the smaller value is represented by then

x+y= 33 equation 1

3x+ 4y= 107 equation 2

using Elimination method,

we multiply the coefficients of x by opposite equation

3x+3y=99 equation 3

3x+4y= 107 equation4

subtracting equation 3 from 4

y=107- 99

y= 8

substituting 8 for y in equation 1

x+8= 33

x= 33-8=25

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Answer:

log(mn^2) = 50

Step-by-step explanation:

assuming base a for the logs

log(mn^2) = log m + 2log n

The measure of ∠5 is 62 degrees if the value of ∠2 is 48 degrees and ∠3 is 62 degrees. Option B is correct.

First, let us understand the types of angles formed by parallel and transversal lines:

Corresponding Angles — Corresponding angles are angles on the same side of a transversal that are either above or below the lines.

Alternate Interior Angles - Alternate interior angles are the pairs of interior angles on opposing sides of the transversal.

Alternate Exterior Angles - Alternate exterior angles are the pairs of exterior angles on opposing sides of the transversal.

Consecutive interior angles - Internal angles on the same side of a transversal are also known as consecutive interior angles, related angles, or co-interior angles.

We are given:

∠2 is 48 degrees and ∠3 is 62 degrees.

We need to find the ∠5.

From the given figure we can see that;

∠3 and ∠5 are alternate interior angles.

So, ∠3 = ∠5 = 62 degrees.

So, the measure of ∠5 is 62 degrees.

Thus, the measure of ∠5 is 62 degrees if the value of ∠2 is 48 degrees and ∠3 is 62 degrees. Option B is correct.

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The graph of the linear equation for question 12 can be seen in the image at the end of the answer.

If we have a linear equation with a slope m and a point (h, k=, the point-slope form of that linear equation is:

y = m*(x - h) + k

Here the slope is m = -7/4 and the point is (2, -6)

Then the linear equation is:

y = (-7/4)*(x - 2) - 6

To graph the linear equation we need two points on it, and we already know one, so we need to find the other.

To do so we can evaluate in some value of x.

If we use x = -2 we will get:

y = (-7/4)*(-2 - 2) - 6

y = (-7/4)*(-4) - 6

y = 7 - 6 = 1

So we also have the point (-2, 1)

Now we just need to graph the two given points and connect them with a line.

Below you can see the graph.

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Answer:

The Y intercept of this line is -3.

Step-by-step explanation:

The X intercept of the crossing line is about -1.4.
On finding the Y intercept:
Step 1: look at the vertical black line (Y Axis)

Step 2: Locate where the blue line crosses on this line.
Step 3: graph Y function of the point as your answer.

Hope this helped a bunch!
Have a great day!
- Kit-Kat~

The solution of 5√3 × 3√12 = 30√3.

Square root of a number is defined as the number in which the multiplication by itself gives the original number. That is the square root of 9 would be = 3 in which when multiplied by itself gives the original number being 9.

Other examples include √ 4 = 2, √ 25 = 5, √100 = 10.

To simplify the give expression;

5√3 × 3√12= 5√3 × 3√4×3

= 5√3 × 3×2√3

= 5√3 × 6 √3

= 30√3.

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