The pattern is that two larger numbers differ by 2 and the smaller is the root of twice the sum of the larger two.
How to explain the pattern?The given formula gives rise to the above observations. it tells you
a = 2x
b = x^2 -1
c = x^2 +1
This is a special case of Euclid's formula ...
a = 2mn
b = m^2 -n^2
c = m^2 +n^2
for n=1.
Since m and n can be any integer values, there are certainly many other. Pythagorean triples that do not match the formula given in the problem. Using n=2, for example, the triples are:
a = 4x
b = x^2 -4
c = x^2 +4
Some triples from this set of formulas are (5, 12, 13), (20, 21, 29), (28, 45, 53), (36, 77, 85).
It should bm be noted that triples from this set of formulas will not match directly those from the formulas in the problem statement, but triples from both lists may reduce to the same primitive triple.
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Complete question
Examine this set of Pythagorean triples from part C. Look for a pattern that is true for each triple regarding the difference between the three values that make up the triple.
Describe this pattern. Then see if you can think of another Pythagorean triple that doesn’t follow the pattern you just described and that can’t be generated using the identity (x2 − 1)2 + (2x)2 = (x2 + 1)2. Explain your findings.
x-value Pythagorean Triple
3 (6,8,10)
4 (8,15,17)
5 (10,24,26)
6 (12,35,37)
FIRST ANSWER GETS FIVE STARS AND BRAINLIEST!
Pine Street, Rector Street, and Taylor Street intersect to form a triangular-shaped park as shown.
(picture below)
What is the correct order of the lengths of the streets from longest to shortest?
Answer:
Rector, Pine, Taylor
Step-by-step explanation:
The opposite side of each angle's lengths depend on how large the angle is. The larger the angle is, the longer the side. Because the angle opposite to Rector is the greatest, then it is the longest. Thus, then follows Pine and Taylor. Hope this helps!
Write as a single fraction in its lowest terms: 3(2x-1)/5 -2 (4x -2)/2
The single fraction in its lowest terms will be;
⇒ - 7(2x - 1)/2
What is mean by Fraction?
A fraction is a part of whole number, and a way to split up a number into equal parts.
Or, A number which is expressed as a quotient is called fraction.
It can be written as the form of p : q, which is equivalent to p / q.
Given that;
The fraction is,
⇒ 3 (2x - 1)/5 - 2 (4x - 2)/2
Now,
Solve the fraction as;
The fraction is,
⇒ 3 (2x - 1)/5 - 2 (4x - 2)/2
⇒ 3 (2x - 1)/5 - (4x - 2)
⇒ 3 (2x - 1)/5 - 2 (2x - 1)
⇒ (2x - 1) (3/5 - 2)
⇒ (2x - 1) (3 - 10)/2
⇒ (2x - 1) (- 7/2)
⇒ - 7(2x - 1)/2
Thus, The single fraction in its lowest terms will be;
⇒ - 7(2x - 1)/2
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work out the size of angle x 24
Answer:
78°
Step-by-step explanation:
You want the measure of base angle x in an isosceles triangle with a.pex angle 24°.
Base angleThe two base angles of an isosceles triangle are congruent. The sum of all angles is 180°, so we have ...
24° +2x = 180°
12° +x = 90° . . . . . . divide by 2
x = 78° . . . . . . . subtract 12°
The measure of angle x is 78°.
Juan is playing a game in which he can win $100 with probability 0.2, $300 with probability 0.3, and $500 with probability 0.5. What is the expected value of Juan's winnings?
Juan's winnings has an expected value of $360
How to determine the expected value of Juan's winnings?The given parameters in the question are:
$100 with probability 0.2,
$300 with probability 0.3,
$500 with probability 0.5.
The expected value is then calculated as
E(x) = Sum of (amount * probability)
Substitute the known values in the above equation, so, we have the following representation
E(x) = 100 * 0.2 + 300 * 0.3 + 500 * 0.5
Evaluate
E(x) = 360
Hence, the expected value is $360
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f(x)=(-3x^2-1)/3x^3 does f have an inverse function?
Answer: Yes, Probably
I need help with an orthocenter of a triangle question. Brainly is having a problem uploading my picture so here is the question: Find the coordinates of the orthocenter of the triangle with the given vertices: P(-1,2), Q(5,2), R(2,1). My Textbook has horrible step by step instructions and I really want to understand this process. Thanks!
The orthocenter of the triangle with vertices P(-1,2), Q(5,2), R(2,1) is
(2, 5)How to find orthocenterOrthocenter is calculated by
finding the slope of a side and the slope of the line perpendicular to the side finding the equation of the perpendicular line passing through the third side of the trianglerepeat step 1 and 2 for another sideWith two equations, solve for the two unknowns (x, y)this gives the coordinate of the orthocenterformula for slope is
m = (y₂ - y₁) / (x₂ - x₁)
slope of the perpendicular = -1/m
Using side PR P(-1,2) R(2,1) ,
m = (1 - 2) / (2 - -1)
m = 1 / 3
slope of the perpendicular = -1/m = - 1 / (1/3) = -3
using point-slope formula for equation of line passing through Q (5, 2)
point slope formula
(y - y₁) = m (x - x₁)
(y - 5) = -3 (x - 2)
y - 5 = -3x + 6
y = -3x + 6 + 5
y = 11 - 3x
Using side PQ P(-1, 2), Q(5, 2)
m = (2 - 2) / (5 - -1)
m = 0
slope of horizontal line is zero for horizontal line the perpendicular is a vertical line
using point-slope formula for vertical line passing through R (2, 1)
point slope formula
(y - y₁) = m (x - x₁)
0 = (x - 2)
x = 2
The two equations are
y = 11 - 3x
x = 2
solving both equations with x already known
y = 11 - 3 * 2
y = 11 - 6
y = 5
Therefore the orthocenter is (2, 5)
The triangle is attached
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3.) Johannes sold an order of 3 Strawberry pies
for $12.50 each. She paid her assistant
$1.10 for each Strawberrye pie sold. How much
money did Johannesearn from the pies sold?
Answer:
$34.20
Step-by-step explanation:
Since each pie is $12.50 but the assistant gets $1.10 for each pie, Johannes will get $11.40 for each pie sold.
We know that there were 3 pies sold so you must solve the equation below
11.40*3
The answer is $34.20
A 6-foot-tall woman walks at 8ft/s toward a streetlight that is 30 ft above the ground. At what rate is the tip of her shadow moving? I got nothing on this bit the picture, and don't know where to start. does anyone know how to solve this one?
The rate at which the tip of the woman's shadow is moving, found by making use of the relationships between similar triangle and differentiation is 10 ft/s
What are similar triangles?Similar triangles are triangle in which all three sides of one proportional to three sides of the other triangle
Height of the woman = 6 ft.
The speed with which the woman walks towards the streetlight = 8 ft/s
The length of the shadow of the woman
Height of the street light = 30 ft.
Let a represent the horizontal distance from the woman to the street light, and let b represent the horizontal distance from the woman to the tip of her shadow, from the similar triangles formed by the shadow, we have;
[tex]\dfrac{30}{x+y} =\dfrac{6}{y}[/tex]
Which gives;
[tex]y = \dfrac{x}{4}[/tex]
The length of the tip of the woman's shadow to the street light, l, in terms of x is therefore;
[tex]l =x + y = x + \dfrac{x}{4} = \dfrac{5\cdot x}{4}[/tex]
[tex]\dfrac{dx}{dt} = 8[/tex]
Therefore, dx = 8·dt
x(t) = 8·t
Writing the function for the l in terms of time t gives;
[tex]l = \dfrac{5\cdot x}{4}[/tex]
[tex]l = \dfrac{5\times 8\cdot t}{4} = \dfrac{40\cdot t}{4} = 10\cdot t[/tex]
The speed at which the tip of the shadow is moving,
[tex]\dfrac{dl}{dt} = \dfrac{d}{dt} \left (10\cdot t ) = 10[/tex]
The speed of the shadow dl/dx = 10 ft./s
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The table shows the fraction of the world's surface land area taken up by each continent. In other words, the continent of Africa makes up StartFraction 20 Over 100 EndFraction of the land in the world. How much greater is the fractional part of the continent of North America than the fractional part of the continent of Europe ?
Answer:
[tex]\frac{9}{100}[/tex]
Step-by-step explanation:
According to the map, North America makes up [tex]\frac{16}{100}[/tex] of the world's land surface area, while Europe makes up [tex]\frac{7}{100}[/tex]. Since both fractions already have a common denominator ( [tex]\frac{n}{100}[/tex] ), we can simply subtract the two to find how much greater the fractional part of North America is than the fractional part of Europe:
[tex]\frac{16}{100}-\frac{7}{100}=\frac{9}{100}[/tex]
Mark earns a salary of £28000 per annum. At the end of the on increase first year he is given he is of 3%.. At end of the second given an increase of 2.5%. Work out Mark's salary at the end of the two years.
Answer:
£27839
Step-by-step explanation:
O×M=N (original x multiplier = original value)
£28000×0.97%=£27160< 1st year decrease
£27160x1.025=£27839<2nd year increase
i need some help on these, can anybody help me?
(x-2x³-29x² - 43x+8)÷(x-7)
Answer:
-2x^2 - 43x - 343 - 2393/x-7
Assessment Practice
5. A science teacher has $225 to spend on lab equipment.
He buys 4 posters with a guide to classifying rocks, for
$19 each. Student rock collections cost $9 each. How
many rock collections can he buy? Explain how you solve.
Use one or more equations and bar diagrams in your
explanation. Tell what your variables represent. 4.AR.1.1.4.AR.2.2
Answer:
Assessment Practice 5. A science teacher has $225 to spend on lab equipment. He buys 4 posters with a guide to classifying rocks, for $19 each. Student rock collections cost $9 each. How many rock collections can he buy? Explain how you solve
Let
x -----> number of rock collections that he can buy
so
the algebraic expression that represents this situation is
Solve the inequality for x
subtract 76 both sides
Divide both sides by 9
therefore
The maximum number of rock collections that he can buy is 16
Step-by-step explanation:
The equation is 9x+76=225 and the number of rock collections he can buy is 17.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, a science teacher has $225 to spend on lab equipment.
Let the number of rocks collected be x.
He buys 4 posters with a guide to classifying rocks, for $19 each.
That is 19×4=76
Student rock collections cost $9 each.
Now, 9×x=9x
So, the equation is 9x+76=225
Subtract 76 on both the sides of equation, we get
9x=149
Divide 9 on both the sides of equation, we get
x=16.5
x≈17
Therefore, the number of rock collections he can buy is 17.
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find zeros f(x)=x^4-6x^3-21x^2=150x-100 given k=5
The zeros of the polynomial x⁴ - 6x³ - 21x² - 150x - 100 are 0.6511 and 8.262 respectively
Zeros of a PolynomialZeros of polynomial are the points where the polynomial equals zero on the whole. In simple words, we can say that zeros of polynomial are values of the variable such that the polynomial equals 0 at that point. Zeros of a polynomial are also referred to as the roots of the equation and are often designated as α, β, γ respectively.
The zeros of a polynomial f(x) are the values of x which satisfy the equation f(x) = 0. Here f(x) is a function of x, and the zeros of the polynomial are the values of x for which the f(x) value is equal to zero. The number of zeros of a polynomial depends on the degree of the equation f(x) = 0. All such domain values of the function, for which the range is equal to zero, are called the zeros of the polynomial.
To find the zeros of this polynomial function, we have to write the function appropriately.
x⁴ - 6x³ - 21x² = 150x - 100
x⁴ - 6x³ - 21x² - 150x - 100 = 0
The roots of this function is 0.6511 and 8.262 respectively
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Katyhas$100,000inasavingsaccount.Theinterestrateis8%peryearandisnotcompounded.Howmuchwillshehaveintotalin2years? Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years. $
The amount that Katy would have saved in her savings account in 2 years is $16, 000
How to find the amount saved?Given that the interest on the savings account is not compounded, the amount that Katy would have saved in 2 years can be found by the formula:
= Principal x Interest Rate x Time
Principal = $100, 000
Interest rate = 8%
Time = 2 years
The amount that Katy would have saved is:
= Principal x Interest Rate x Time
= 100, 000 x 8% x 2
= $16, 000
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The first section of a newspaper has 16 pages. Advertisements take up 3 and 3/8 of the pages. How many pages are not advertisements?
A total of 12 5/8 pages is not meant for advertisement
How to determine the number of pages that are not for adverts?From the question, we have the following parameters
First section = 16 pages
Pages for advertisement = 3 and 3/8 pages
Rewrite the above parameters as
First section = 16 pages
Pages for advertisement = 3 3/8 pages
The number of pages that are not for adverts is then calculated as
Pages not for adverts = First section - Pages for advertisement
Substitute the known values in the above equation
So, we have the following equation
Pages not for adverts = 16 - 3 3/8
Evaluate the difference
Pages not for adverts = 12 5/8
Hence, the number of pages that are not for adverts is 12 5/8 pages
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Kyle buys $50,000 of company XYZ's shares, at a share price of
$100. A year later, XYZ's share price is $110, and Kyle sells all his
shares. How many dollars did Kyle's investment gain?
The share Kyle sells worth $55000 and Kyle's gain amount is $5000
Given,
The share bought by Kyle of company XYZ = $50,000
The share price = $100
The share price after an year = $110
We have to find the gain amount by Kyle when Kyle sells all his shares.
Here,
We can apply Unitary method;
100 ⇒ 110
50000 ⇒ x
Compute;
100x = 110 x 50000
x = (110 x 50000) / 100
x = 110 x 500
x = $55000
Now,
Kyle gains,
55000 - 50000 = $5000
That is,
The share Kyle sells worth $55000 and Kyle's gain amount is $5000
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HELPPP FOR BRAINLEST????
Answer:
[tex]2,8,14,20[/tex]
Step-by-step explanation:
If the first term of a sequence is [tex]2[/tex] and the common difference is [tex]6[/tex], then each successive term in the sequence is [tex]6[/tex] more than the previous term:
[tex]a_n=6n-4[/tex]
Therefore, the first term is [tex]2[/tex], followed by [tex]8[/tex], [tex]14[/tex], and [tex]20[/tex].
Given the inequality 4x ≤ 28, determine the value of x.
Step-by-step explanation:
Given the inequality 4x ≤ 28, determine the value of x.
4x ≤ 28
divide both sides by 4:
4x/4 ≤ 28/4
x ≤ 7
set builder notation: (-∞, 7]
answer:
The value of x is 7.
Step-by-step explanation:
4x ≤ 28 | divide both sides by 4
4x / 4 = x and 28 / 4 = 7
therefore, x ≤ 7
pls i will give top rating
A summation, also known as a sum, is the result of arithmetic addition of numbers or quantities.
The value of x = 6 and y = 6 then the number exists 6 and the sum of the digits is 9.
How to find the value of x?Any of the following algebraic expressions should be used: addition, subtraction, multiplication, and division. Bring the variable to the left and all the remaining values to the right to find the value of x.
From the given information, we get
x - y = 6 ...............(1)
"if five times the smaller number is two times the larger number"
from the above information, we get
5y = 4x + 2
5) To simplify the value of y:
y = (4x +2) / 5 ...............(2)
Substitute y = (4x +2) / 5 in (1), then we get
x - (4x + 2) / 5 = 6
5x / 5 - (4x + 2) / 5 = 6
simplifying the above equation, we get
(5x - 4x - 2) / 5 = 6
x - 2 = 5 x 6
x -2 = 30
x = 32
Substitute the value of x in (2)
y = 4(32) + 2 / 5
simplifying the above equation, we get
y = 130 / 5
y = 26
From (1), we get
x - y = 6
substitute the value of x and y in the above equation,
32 - 26 = 6
6 = 6
6) T is the 10s digit
X is the one's digit
The two digit number is 10T + X
It is 7 times the sum of the digits, so the 2 digit number is 7 times as large as the sum of the digits
10T + X = 7(T+X)
By using distributive law
10T + X = 7T + 7X
10T + X - 7T - 7X = 0
simplifying the above equation, we get
3T - 6X = 0
3(T - 2X) = 0
T - 2X = 0
T = 2X
The tens digit is 3 more than the one's digits, so
T = X + 3
Then we have
T = 2X = X + 3
Subtracting X from both sides,
T - 3 = X + 3 - 3
X = 3
The Tens digit is 6.
The number is 63.
The sum of the digits is 9.
9 × 7 = 63.
Therefore, the value of x = 6 and y = 6 then the number exists 6 and the sum of the digits is 9.
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A plant manufactures part whose lengths are normally distributed with a mean of 16.3 centimeters and a standard deviation of 2.5 centimeters.
Question:
If one part is randomly selected, find the probability that the part is between 10.8 and 12.8 centimeters.
The probability that the plant manufactures a part between 10.8 and 12.8 centimeters 13%
How to find the probability that the part is between 10.8 and 12.8 centimetersThe probability is solved z scores, this measures the amount of standard deviation sample X is from mean. the formula is below
z = (X - μ) / σ
Definition of variables
mean, μ = 16.3 centimeters
standard deviation, σ = 2.5 centimeters
X = 10.8 and 12.8 centimeters
z score, z
substituting into the formula
for X = 12.8 centimeters
= (X - μ) / σ
= (12.8 - 16.3) / 2.5
= -1.4
the p value for z of -1.4 = 0.161513
for X = 10.8 centimeters
= (X - μ) / σ
= (10.8 - 16.3) / 2.5
= -2.2
the p value for z of -2.2 = 0.027807
the probability is calculated as below
0.161513 - 0.027807= 0.133706
= 0.13
=13%
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Marvin is helping his teachers plan a field trip. There are 136 people going on the field trip and each school bus holds 51 people. What is the minimum number of school buses they will need to reserve for the trip?
Answer: 3 busses
Step-by-step explanation:
Please refer to picture
Using the corresponding angle theorem, the value of x is 15 and y is 12.
In the given question we have to find the value of x and y.
From the graph we can see that
From the corresponding angle theorem
4x+2=62
Subtract 2 on both side, we get
4x=60
Divide by 4 on both side, we get
x=15
So the value of x is 15.
Similarly from the corresponding angle theorem
12y=144
Divide by 12 on both side, we get
y=12
So the value of y is 12.
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A plant manufactures parts whose links are normally distributed with a mean of 16.3 cm and a standard deviation of 2.5 cm if one part is randomly selected find the probability that the part is between 10.8 and 12.8 cm
The probability that the part is between 10.8 and 12.8 cm is 0.0669.
What is a normal distribution?
Data near the mean are more likely to occur than data distant from the mean, according to the normal distribution, which is symmetric around the mean.
Here, we have
Mean = 16.3cm
Standard deviation = 2.5cm
We have to find the probability that the part is between 10.8 and 12.8 cm
Now,
we know that z = (x−μ)/σ
putting values in the normal distribution formula, we get
P( 10.8 < x < 12.8) = P( (10.8 - 16.3)/2.5 < z < (12.8 - 16.3)/2.5)
= P ( -2.2 < z < -1.4)
P( 10.8 < x < 12.8) = 0.0669, by normal distribution table
Hence, the probability that the part is between 10.8 and 12.8 cm is 0.0669.
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A frozen yogurt stand charges per ounce of frozen yogurt purchased. There is an extra charge for a waffle bowl. The total cost (c), in dollars, for f ounces of frozen yogurt in a waffle bowl, is described by the function c = 0.45f + 1.
Which statement is true?
A. The cost of 0.45 ounce of frozen yogurt in a waffle bowl is $1.
B. Each ounce of frozen yogurt costs $1 and a waffle bowl is $0.45 extra.
C. Each ounce of frozen yogurt costs $0.45 and a waffle bowl is $1 extra.
D. The cost of 0.45 ounce of frozen yogurt in a waffle bowl is $1.45.
The true statement when the frozen yogurt stand charges per ounce of frozen yogurt purchased is B. Each ounce of frozen yogurt costs $1 and a waffle bowl is $0.45 extra.
How to explain the function?In the scenario, the total cost (c), in dollars, for f ounces of frozen yogurt in a waffle bowl, is described by the function c = 0.45f + 1.
In this case, it is important to note that Each ounce of frozen yogurt costs $1 and a waffle bowl is $0.45 extra.
For example, for 2 ounces, this will be:
= 0.45f + 1
= 0.45(2) + 1
= 0.9 + 1
= $1.9
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The blood types of 200 people are collected at a doctor’s office. The table shows the breakdown of patients by blood type.
If a person from this group is selected at random, what is the probability that this person has type AB blood? Express your answer as a fraction
Blood Type Survey Results
Blood Type Number of Patients
A 45
B 65
O 75
AB 15
When a person from this group is selected at random, the probability that this person has type AB blood is 3/40
What is probability?Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1. In this case, 0 denotes the impossibility of the event and 1 represents certainty.
It should be noted that in this case, the number of people with AB blood is 15 and there are 200 people. The probability will be:
= Number of AB blood type / Total number of people
= 15 / 200
= 3/40
The probability is 3/40.
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Find the dimensions of the rectangle with the largest area; it has two vertices on the x-axis and two vertices above the x-axis on the graph of
y = 5 − x^2.
Answer:
(2/3)√15 wide by 10/3 tall, approx 2.582 by 3.333
Step-by-step explanation:
You want the dimensions of the largest rectangle that fits under the graph of y = 5 -x² above the x-axis.
DimensionsThe graph of y=5-x² is symmetrical about the y-axis, so the width of it will be x -(-x) = 2x and the height will be 5-x².
AreaThe area will be the product of the width and height:
A = WH
A = (2x)(5 -x²) = 10x -2x³
Maximum areaThe area will be a maximum where the derivative of the area function is zero.
dA/dx = 10 -6x² = 0
x² = 10/6
x = (√15)/3
The corresponding rectangle dimensions are ...
width = 2x = (2/3)√15
height = 5 -x² = 5 -5/3 = 10/3
The rectangle with largest area is (2/3)√15 wide by 10/3 tall.
PLEASE HURRY I WANT TO FIISH MY TEST PLEASE ASAP!!!
Determine which integers in the set S:{−32, −8, 16, 32} will make the inequality one fourth times the difference of m and four is less than or equal to one eighth times the difference of m and sixteen false.
The integer in the set S:{−32, −8, 16, 32} will make the inequality one fourth times the difference of m and four is less than or equal to one eighth times the difference of m and sixteen false is 32
What is an inequality?Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.
In this case, based on the information we will replace m with 32. This will be illustrated thus:
1/4(32 - 4) ≤ 1/8 (32 - 16)
= 1/4(28) ≤ 1/8(16)
= 7 ≤ 2
In this case, 7 isn't less than or equal to 2. Therefore, 32 is the correct integer.
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Can you help me solve this problem?
The probability that the sample proportion surviving for at least 3 years will be less than 67% is of:
0.1131 = 11.31%.
Normal Probability DistributionThe z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is given by the rule presented as follows:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the calculated z-score is positive or negative.Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of the measure X in the distribution.By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].The proportion and the sample size are given as follows:
p = 0.73, n = 80.
Hence the mean and the standard error are given as follows:
[tex]\mu = 0.73[/tex].[tex]s = \sqrt{\frac{0.73(0.27)}{80}} = 0.0496[/tex]The probability that the sample proportion surviving for at least 3 years will be less than 67% is the p-value of Z when X = 0.67, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Z = (0.67 - 0.73)/0.0496
Z = -1.21
Z = -1.21 has a p-value of 0.1131.
Hence the probability is:
0.1131 = 11.31%.
More can be learned about the normal distribution and the central limit theorem at https://brainly.com/question/25800303
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Answer: [tex]5^{2} + 4[/tex]
Step-by-step explanation:
[tex]2 + 3^3[/tex] =?
2 + 27 = 29
10 * 2 - 9 = 20 - 9 = 11
[tex]5^2 + 4[/tex] = 25 + 4 = 29
[tex]5^3\\[/tex] = 5 * 5*5 = 125
3+ 4 * 3 = 3 + 12 = 15
