Answers
The equivalent exponential expression for the radical expression [tex]\sqrt{2 + 3}[/tex]
is [tex](2 +3)^{\frac{1}{2} }[/tex].
How to find equivalent expression ?Two expressions are said to be equivalent if they have the same value irrespective of the value of the variable(s) in them.
Equivalent expression may not look the same but substituting the variables will result to the same values.
Therefore, let's find the equivalent exponential expression for the radical expression can be found as follows:
[tex]\sqrt{2 + 3}[/tex]
Using exponential law,
[tex]\sqrt{x} = x^{\frac{1}{2} }[/tex]
Therefore,
[tex]\sqrt{2+3} = (2 +3)^{\frac{1}{2} }[/tex]
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Related Questions
If the scale factor from A to B is 8/5 Then the scale factor from B to A is...
Answers
The scale factor from B to A is 5/8. Since the scale-up and scale-down of A and B are reciprocal to each other. I.e, scaling of geometry can be reversed by the reciprocal of its scale factor.
What is meant by a scale factor and how is it calculated?Scale factor: A number that is multiplied by the components of an object to create an enlargement or reduction of the object.Scale factor = new length/original length There are two kinds of scaling. They are scale-up and scale-down.Scale-up is nothing but enlarging the shape and scale-down means reducing the shape.The scaling of an object or shape is reversed by finding the reciprocal of its scale factor. If the scale factor is greater than 1 then it goes under enlargement and if it is less than 1, then it goes under reduction.Calculation:The scale factor for the given shape to transform from A to B is 8/5.
So, the original shape is A and it is scaled up by the factor 8/5 and named B.
(Scaled up since scale factor (8/5 = 1.6) > 1)
So, the scaling from B to A is the reverse process of scale-up. That means scale-down. For this, the scale factor is reduced by taking its reciprocal. So, that the shape gets reversed.
The scale factor for scaling down from B to A is 1/(8/5) ⇒ 5/8.
Therefore, the scale factor from B to A is 5/8.
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Carson earns $113.75 for 7 hours of work. If he makes a constant hourly wage, which table represents the relationship between the number of hours he works and his total earnings?
Answers
The constant amount that Carson makes every hour is $16.25.
How to illustrate the relationship?It is important to note that this question has to do with a proportional relationship. Since Carson earns $113.75 for 7 hours of work and he makes a constant hourly wage.
The amount that he makes per hour will be:
= Amount / Number of hours
= $113.75 / 7
= $16.25
Therefore the constant amount he makes every hour is $16.25.
Note that the options weren't given but the question has been solved accordingly.
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Indigo goes out to lunch. The bill, before tax and tip, was $10.85. A sales tax of 3%
was added on. Indigo tipped 18% on the amount after the sales tax was added. The
total cost of the meal plus tip and tax was more than the cost of the bill by what
percent? Round to the nearest whole number.
Answers
The total cost of the meal plus tip and tax was more than 122% of the cost of the bill.
What is percent?
A percentage in mathematics is a number or ratio that is expressed as a fraction of 100. The abbreviations "pct.", "pct.", and occasionally "pc" are also used to indicate it, though the percent sign, "%," is most frequently used. A percentage has no dimensions and no standard measurement.
Indigo goes out to lunch.
The bill, before tax and tip, was $10.85.
A sales tax of 3% was added on.
Indigo tipped 18% on the amount after the sales tax was added.
The amount after adding sales tax is,
$10.85 x 3% = 0.3255
⇒ $10.85 + 0.3255 = $11.1755
Now to find the amount after tipped 18% on the amount after the sales tax was added.
$11.1755 x 18% = 2.01159
⇒ $11.1755 + 2.01159 = $13.18709
Hence, the amount after tipped 18% on the amount after the sales tax was added is $13.18709.
Let x be the percent of more than the cost of the bill of $13.18709.
⇒
[tex]\frac{10.85(x)}{100} = 13.18709\\ x = \frac{100 (13.18709)}{10.85}\\ x = 121.54[/tex]
Hence, the total cost of the meal plus tip and tax was more than 122% of the cost of the bill.
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(50 points) Mariel and Sam Trent's savings account had a balance of $9,544 on May 1. The account earns interest at a rate of 5.25% compounded monthly until the end of August.
Answers
Answer:
$9,712.12 (nearest cent)
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{8.5 cm}\underline{Compound Interest Formula}\\\\$ A=P\left(1+\frac{r}{n}\right)^{nt}$\\\\where:\\\\ \phantom{ww}$\bullet$ $A =$ final amount \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $n =$ number of times interest is applied per year \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}[/tex]
Given:
P = $9,544r = 5.25% = 0.0525n = 12 (monthly)t = 4 months = 1/3 yearSubstitute the given values into the formula and solve for A:
[tex]\implies A=9544\left(1+\frac{0.0525}{12}\right)^{12 \cdot \frac{1}{3}}[/tex]
[tex]\implies A=9544\left(1.004375\right)^{4}[/tex]
[tex]\implies A=9544\left(1.017615179\right)[/tex]
[tex]\implies A=9712.119269[/tex]
The balance of the account at the end of August will be $9,712.12 (nearest cent).
Which of the following can be represented by the equation 3x = 24?(1 point)
Rita bought stickers and divided them among herself and two other friends. Each one received 24 stickers. How many stickers did Rita buy?
A survey was conducted to determine the favorite subject of seventh grade students. One-third of all surveyed, or 24 students, said math is their favorite subject. How many students were surveyed?
Andrew picks three words from a dictionary every week and lists them in his notebook. So far, he has listed 24 words. How many weeks has Andrew been doing this?
The cost of a pair of shoes is three times the cost of a shirt. If the cost of the shirt is $24, how much does the pair of shoes cost?
Answers
Answer:
The last answer is correct
Step-by-step explanation:
3x = 24 Divide both sides by 3
x = 8
A pair of shoes cost $8
[A.5A] What is the solution to 2(m+6)-5-3(m-2) ?
Answers
Answer:
-m + 13
Step-by-step explanation:
STANDARD FORM MATHS HELP. POINTS
Answers
Answer:
1.64×10⁷ km16,400,000 km ("standard form" in the US)Step-by-step explanation:
You want the length of the hypotenuse of a right triangle with sides given as 3.6×10⁶ km and 1.6×10⁷ km.
Pythagorean theoremThe Pythagorean theorem tells you the relationship between the side lengths and the hypotenuse of a right triangle:
c² = a² +b²
RQ² = PQ² +PR²
RQ = √((3.6×10⁶)² +(1.6×10⁷)²) = 1.64×10⁷ . . . . . use numbers, take the root
The distance between planets Q and R is 1.64×10⁷ km.
__
Additional comment
The "standard form" of a number is different by location. In the US, it is written with the decimal point to the right of the units digit. In other places, "standard form" has the decimal point to the right of the most-significant digit, and a power of ten as a multiplier.
You may recognize the ratio of the given numbers is 9:40, telling you these lengths are a multiple of the {9, 40, 41} Pythagorean triple. That is, the distance RQ is 41/40 times the distance RP.
Any spreadsheet or scientific or graphing calculator can do the necessary arithmetic using the numbers in "scientific notation" format. Spreadsheets, in particular, use E() to signify ×10^(). That is, 3.6×10⁶ is entered into a spreadsheet as 3.6E6. The attached calculator display shows it can use the same sort of format.
Just use Pythagoras theorem to find the shortest distance between the two planets, (as it is along its hypotenuse)
The distance QR is :
[tex] \qquad \sf \rightarrow d = \sqrt{(1.6 \times 10 {}^{7}) {}^{2} + (3.6 \times 10 {}^{6} ) {}^{2} } [/tex]
[tex] \qquad \sf \rightarrow d = \sqrt{2.56 \times 10 {}^{14} + 12.96 \times 10 {}^{12} {}^{} } [/tex]
[tex] \qquad \sf \rightarrow d = \sqrt{256\times 10 {}^{12} + 12.96 \times 10 {}^{12} {}^{} } [/tex]
[tex] \qquad \sf \rightarrow d = \sqrt{(256 + 12.96 )\times 10 {}^{12} {}^{} } [/tex]
[tex] \qquad \sf \rightarrow d = \sqrt{(268.96 )\times 10 {}^{12} {}^{} } [/tex]
[tex]\qquad \sf \rightarrow d = 16.4\times 10 {}^{6} {}^{} [/tex]
Which of the following shows that polynomials are closed under addition when two polynomials 4x2 - 8x - 7 and -5x + 16 are added?
Answers
The statement which shows that polynomials are closed under addition when two polynomials 4x² - 8x - 7 and -5x + 16 are added include the following: C. 4x² - 13x + 9 will be a polynomial
What is a polynomial function?In Mathematics, a polynomial function can be defined as a mathematical expression which comprises intermediates (variables), constants, and whole number exponents with different numerical value, that are typically combined by using mathematical operations such as the following:
Multiplication (product)AdditionSubtractionNext, we would add the two (2) given polynomials as follows;
(4x² - 8x - 7) + (-5x + 16)
4x² - 8x - 7 - 5x + 16
Rearranging the given polynomials by combining like terms, we have;
4x² - 8x - 5x + 16 - 7
4x² - 13x + 9
Therefore, the given polynomials are closed under addition.
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Complete Question:
Which of the following shows that polynomials are closed under addition when two polynomials 4x² - 8x - 7 and -5x + 16 are added?
a. 4x^2 - 13x + 9 may or may not be a polynomial
b. 4x^2 + 13x -23 may or may not be a polynomial
c. 4x^2 -13x + 9 will be a polynomial
d. 4x^2 + 13x - 23 will be a polynomial
11. What is the equation of the line that has a slope of 0 and passes through the point (9,-4)?
Answers
Answer:
y = 9
Step-by-step explanation:
The line that has a slope of 0: y = 0*x + ?
pass through the point (9,-4): 9 =0*(-4) + ?, we can get 9.
So the answer is y = 9.
Answer: y=0x-4
Step-by-step explanation:
y=mx+b
-4 = (0)(9)+b
b = -4
y = -4
You have won a new PS 5 system in a rafflel With a bit of research, you have determined that the cost of a new PS 5 system is $712 with tax. If you know that the value of gaming consoles decreases each year by 12%, based on the previous year's value, what will your PS 5 system be worth after 6 years?
Answers
The salvage value of the PS 5 system after 6 years will be $640.
Explain the term depreciation?Depreciation is the estimated decrease in value of fixed assets over the course of a fiscal year. The amount of an asset's value has indeed been used is shown through depreciation. It enables businesses to purchase assets over a predetermined length of time and generate income from those assets.The formula for the depreciation;
Depreciation per year = (cost of asset - salvage value)/ (useful life of assets)
For the stated question-
Cost of new PS 5 system = $712.salvage value to be find.Depreciation per year = 12%useful life of assets = 6 years.12 = (712 - salvage value)/ (6)
salvage value = 712 - 12x6
salvage value = $640.
Thus, the salvage value of the PS 5 system after 6 years will be $640.
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Find the perimeter of the triangle XYZ with verticles X (1, 3) , Y(-4, -1) and Z(4, -1). Round your answer to two decimal places
Answers
Answer:
The perimeter is approximately 6.40.
Step-by-step explanation:
To find the perimeter of a triangle with vertices X (1, 3), Y (-4, -1), and Z (4, -1), we can first find the distance between each pair of points using the distance formula.The distance between points X and Y is:
$d(X,Y) = \sqrt{((1 - (-4))^2 + (3 - (-1))^2)} = \sqrt{25 + 16} = \sqrt{41}$
The distance between points Y and Z is:$d(Y,Z) =
\sqrt{((-4 - 4)^2 + ((-1) - (-1))^2)} = \sqrt{0 + 0} = 0$
The distance between points X and Z is:
$d(X,Z) = \sqrt{((1 - 4)^2 + (3 - (-1))^2)} = \sqrt{9 + 16} = \sqrt{25}$
We can then find the perimeter of the triangle by adding up the lengths of the sides. In this case, the perimeter is $d(X,Y) + d(Y,Z) + d(X,Z) = \sqrt{41} + 0 + \sqrt{25} = \sqrt{41} + \sqrt{25} = 6.40\ldots$.
Rounded to two decimal places, the perimeter is approximately 6.40.
help me plsssss
i put the image below
if u can see it
help asap
Answers
Answer:
q= 1.09
Step-by-step explanation:
the works there its a little messy tho
19 points
Which relations represent a function?
Answers
The relation (10, 8), (7, 9), (9, 13), (8, 5) is representing a function. (option B)
What is a function?A function defines relations between input and output, where all input has a distinct output.
Given are the relations,
A) (14, 12), (10, 12), (-13, 7), (11, 15)
In this, two inputs 14 and 10 have same output 12, so it can not be a function.
B) (10, 8), (7, 9), (9, 13), (8,5)
In this, we can see, every input have distinct outputs, so it can be considered as a function.
Hence, (10, 8), (7, 9), (9, 13), (8,5) is a function.
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At a candy store, the price listed for 2 pounds of
chocolate is $9.95. What amount will Jerry need to pay,
if he decides to purchase 12 pounds of chocolate?
lbs
$
****
Submit
Answers
Answer:
Step-by-step explanation:
teaj
△DEF is an isosceles triangle. If m∠D = (3x + 5)° , m∠E = (4x − 15)° and m∠F = (2x + 10)° , what is the measure of one of the congruent base angles?
Answers
The measure of one of the congruent base angles is 65°.
How to illustrate the triangle?It's important to note that any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane. In other words, there is only one plane that contains that triangle, and every triangle is contained in some plane. A triangle has three sides, three angles and the sum of the angles equal 180°.
It should be noted that a triangle has 3 side, 3 angles and a sum of 180°.
In this situation, DEF is an isosceles triangle. If m∠D = (3x + 5)° , m∠E = (4x − 15)° and m∠F = (2x + 10)°.
The value will be illustrated thus:
3x + 5 + 4x - 15 + 2x + 10 = 180
Collect the like terms
9x = 180 - 5 + 15 - 10
9x = 180
x = 180 / 9
x = 20
The measure of one of the congruent base angles will be:
= 4x - 15
= 4(20) - 15
= 65°
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please show steps and how you got answer
Answers
The value of x and y at which function P = 3x+2y becomes maximum are
(9,0), data from given graph.
What is the graph?
Graph is the pictorial representation of given data.
Graph is defined as to create a diagram that shows a relationship between two or more things. An example of graph is to create a series of bars on graphing paper.
The four most common are
1. Probably line graphs,
2. Bar graphs and histograms,
3. Pie charts, and
4. Cartesian graphs
To find the maximum, input the vertices (0,8), (5,4) and (9,0) into the objective function (P = 3x + 2y) to determine which vertex obtains the maximum value.
Note: (5,4) is not a vertex.
(0,8) :
P = 3*0 + 2*8
= 16
(5,4):
P = 3*5 + 2*4
= 23
(9,0):
P = 3*9 + 2*0
= 27.
So, the maximum value = 27 at (9,0).
So, the x value = 9 and
the y value = 0.
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Write the equation for a line that passes through the given points Write the equation in slope- intercept form
. (6,-4), (6,5)
Answers
The equation of the line, in slope-intercept form, that passes through the given points, (6,-4) and (6,5) is: x = 6.
How to Write the Equation of a Vertical Line?An vertical line can be written in slope-intercept form as x = a, because the line has no y-intercept and the change in x values in the slope formula is equal to zero.
The value of a in the equation is the point on the x-axis where the vertical line intercept, irrespective of the change in y-values up the line.
Given the line goes through the points, (6, -4) and (6, 5), it means the line is a horizontal line because they both have the same x-value, 6.
Therefore, the value of a is 6. The equation of the line would be x = 6.
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PLEASE HELP!
The two lines graphed below are not parallel. How many solutions are there to
the system of equations?
Answers
The graphed two lines will have one solution.
Solutions of Pair of straight lines:Any line that isn't twisted or bent is said to be straight.
Intersecting Lines:Intersecting lines are two or more lines that have exactly one point in common. The point of junction is this central location that connects all of these lines.
A system of Intersecting Lines will have one unique solution
Parallel lines :Lines that are parallel to one another on a plane do not overlap or meet at any point. They are always parallel and equally spaced from one another.
A system of Parallel Lines will have no solution
Here we have
System of equations
Given that the two lines are not parallel line
As we can see that both lines meet at a point
So here we can conclude that both lines are Intersecting Lines
Therefore,
The graphed two lines will have one solution.
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There are 24 men and 25 women running a race. What is the ratio of the number of female runners to the total number of runners?
Answers
Answer:
5/9 In fraction form. In decimal form 0.51 and in percentage form %51
Step-by-step explanation:
To find the ratio of the number of female runners to the total number of runners, we can divide the number of female runners by the total number of runners and express the result as a fraction. There are 25 female runners, and there are a total of 24 men + 25 women = 49 runners. Therefore, the ratio of the number of female runners to the total number of runners is 25/49. This fraction can be reduced to 5/9.
. Solve for x: log₂ (x+4) + log₂ (x + 3) = 1. Pleasee
Answers
The value of x for the expression is equal to -5 and -2.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the logarithmic expression is log₂ (x+4) + log₂ (x + 3) = 1. The value of x will be calculated as,
log₂ (x+4) + log₂ (x + 3) = 1
log₂ { (x+4)(x + 3) } = 1
x² + 7x + 12 = 2
x²+ 7x + 10 = 0
Solve the above quadratic equation,
x²+ 7x + 10 = 0
x² + 5x + 2x + 10 =0
x ( x + 5 ) + 2 ( x + 5 ) = 0
(x + 5 ) ( x + 2 ) = 0
x = -5 and -2
The values of x are -5 and -2.
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I have this question can anyone solve
Answers
Answer:
-16Step-by-step explanation:
• 12a - 2b - 4b - 15a + 2 (a = 0, b = 3)
→ apply the values
• 12x0 - 2x3 - 4x3 - 15x0 + 2
• 0 - 6 -12 - 0 + 2
→ use BODMAS formulae
• 0 - 6 - 12 - 2
= 0 - 6 - 10
→ zero wouldn't be counted so
- 6 - 10
(-) + (-) = (+) so:
= -16
Solve for y in this diagram. Justify your answer.
Answers
The value of y in the given diagram is 6cm.
What is triangle?
Three edges and three vertices make up a triangle, which is a polygon. It is among the fundamental shapes in geometry. Triangle ABC refers to a triangle with the vertices A, B, and C.
In Euclidean geometry, any three points that are not collinear determine a singular triangle and a singular plane at the same time.
Consider, the given triangle the two base angles are same.
So, the triangle is a isosceles triangle.
Since, when the base angles of an isosceles triangle are equal, the sides that face these angles are also equal.
Hence, the value of y in the given diagram is 6cm.
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Solve for x. 2.5x + 1.5
Answers
PLEASE HELP!!!!
Write the quadratic equation whose graph has x-intercepts of -11 and 3 and passes through the point (1, 192)
A: y=8x^2+64x−264
B: y=8x^2−64x−264
C: y=−8x^2+64x+264
D: y=−8x^2−64x+264
Answers
The quadratic equation with the given x-intercepts and that passes through the point (1, 192) is the one in option D.
y = -8x^2 -64x + 264
What is the quadratic equation?If a quadratic equation has x-intercepts x₁ and x₂ and a leading coefficient a, we can write the quadratic equation as:
y = a*(x - x₁)*(x - x₂)
Here we know that the x-intercepts are -11 and 3, replacing that in the equation above we will get:
y = a*(x + 11)*(x - 3)
We also know that the line passes through the point (1, 192), replacing the values in the quadratic equation we will get:
192 = a*(1 + 11)*(1 - 3)
192 = a*12*-2
192 = -24*a
192/-24 = a
-8 = a
So the quadratic equation is:
y = -8*(x + 11)*(x - 3)
Expanding this, we will get:
y = -8x^2 -64x + 264
So the correct option is D.
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A student has two options to purchase a laptop.
Option 1: Pay $540 plus 15% sales tax now.
Option 2: Pay exactly $120 now and then $58 each month for 9 months.
What is the approximate percent increase in how much the student pays with Option 2 versus Option 1?
Responses
Answers
Approximate percent increase in how much the student pays with Optin 2 versus Option is 20%
How to find Percentage?$540 plus 15% sales tax now.=$515
Pay exactly $120 now and then $58 each month for 9 months=$642
There is no dimension to percentages. As a result, it is known as a dimensionless number. When we say a number is 50% of anything, we mean that it is 50% of everything.As in 0.6%, 0.25%, etc., percentages can also be expressed as decimals or fractions. The grades earned in any topic are calculated in terms of percentages in academics. Ram, for instance, scored 78% in his final exam. This percentage is determined using Ram's overall grade point average (GPA) across all disciplines. We must apply a different formula, like the one shown below, to determine the percentage of a number.X Equals P% of NumberIf we don't use the percent sign, we must write the calculations above as P/100 * Number = X.To learn more about Percentage refer to:
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drag and drop the quantity on the right column with a number from the left column
Answers
Answer: 27, 65, 29, 77, 37
Step-by-step explanation:
The number of diagonals of an [tex]n[/tex]-gon is [tex]\frac{n(n-3)}{2}[/tex].
The number of apothems of an [tex]n[/tex]-gon is [tex]n[/tex].
Answer:
Step-by-step explanation:
3. Students at Polk Middle School are given a fitness test. The results of their tests are shown in the table. Use the table to answer questions a-c. a. Find the time it takes each student to run . Evian:_ Toby:_ Jillian:_ b. Which student is running at the fastest rate? Expl c. Jillian is trying out for the cross country team. To make the team, she must run in less than . Will Jillian make the team? Explain.
Answers
The time for each of them to cover 1 mile is; Evian = 10 min, Toby = 9 min and Jillian = 12 min. The fastest is Toby and No, Jillian can't make the team.
What is unit rate?A unit rate means a rate for one of something.
Given that, Students at Polk Middle School are given a fitness test.
The fitness test result is;
Evian can run [tex]1\frac{1}{2}[/tex] miles in 15 minutes, Toby can run 2/3 miles in 6 minutes and Jillian can run 3/4 miles in 9 minutes
a) The rate of running in 1 mile = (total miles covered)/(total time taken)
Evian =
3/2 miles in 15 minutes
1 mile = 15x2/3
1 mile = 10 minutes
Toby =
2/3 mile in 6 minutes
1 mile = 6x3/2
1 mile = 9 minutes
Jillian =
3/4 miles in 9 minutes
1 mile = 9x4/3
1 mile = 12 minutes.
b) Since, Toby is covering 1 mile in the least minutes in comparison with other two, therefore Toby is fastest among them.
c) Jillian's rate = 1 mile in 12 minutes
Speed = 1/9 miles per minute
Therefore, she will cover 7/2 miles in = 12x7/2 = 42 minutes
That means, she can't make the team.
Hence, the answers are a) Evian = 10 min, b) Toby = 9 min and Jillian = 12 min, the fastest one is Toby and Jillian can't make the team.
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A line has a slope of 2 and includes the points (
–
7,
–
10) and (0,j). What is the value of j?
Answers
Answer:
j = 4
Step-by-step explanation:
calculate the slope of the line passing through the goven points and equate to 2
calculate slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 7, - 10 ) and (x₂, y₂ ) = (0, j )
m = [tex]\frac{j-(-10)}{0-(-7)}[/tex] = [tex]\frac{j+10}{0+7}[/tex] = [tex]\frac{j+10}{7}[/tex] then equating gives
[tex]\frac{j+10}{7}[/tex] = 2 ( multiply both sides by 7 to clear the fraction )
j + 10 = 14 ( subtract 10 from both sides )
j = 4
what is the probability that you will draw 4 kings when you draw 4 cards from a standard 52-card deck?
Answers
The probability that we will draw 4 kings from the 52-card deck be 1/270725.
Given, we draw 4 cards from a standard 52-card deck
we have to find the probability that we draw 4 kings
As, we know that the deck of cards contain 4 kings of two red and two black.
we have to choose 4 kings from 4 kings in the deck
Number of ways to choose 4 kings from the deck of cards = C(4 , 4)
Now, total number of ways in which 4 cards can be chosen be,
C(52 , 4)
So, the probability of drawing 4 kings from the deck of cards be,
P(E) = C(4 , 4)/C(52 , 4)
P(E) = 4×3×2 / 52×51×50×49
P(E) = 1 / 13×17×25×49
P(E) = 1/270725
Hence, the required probability be 1/270725
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Interpret parts of the algebraic expression to describe the real-world scenario.
The value of a comic book in dollars has been found to be 0.20y + 1.50, where y is the number of years since it was released.
By how much is the value of the comic increasing per year?
How much was the initial value of the comic?
Answers
The value of a comic book in dollars has been found to be 0.20y + 1.50, where y is the number of years since it was released. is
(a) [tex]0.2$[/tex]
(b) [tex]1.5$[/tex]
[tex]0.2 y+1.5 \longleftarrow \text { initial value }[/tex]
[tex]when $y$ increase one. the value increase $\$ 0.2$[/tex]
Travelling to movies and television programmes. An element of a comic book being in a popular film or television programme is a major factor in its value rising. Characters' comic book appearances have become far more valuable as they are integrated into the Marvel Cinematic Universe.
Marvel's first comic book just sold for $1.26m. Movies have contributed to the enduring popularity of superheroes, bringing in new audiences. The printed comic is still big business, worth over $1bn in North America alone.
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