The lengths of salamanders have a normal distribution with mean 15cm, and standard deviation 2cm.

In a collection of 200 salamanders, about how many have length greater than 16.5cm?

Answers

Answer 1

Answer:

2cm

Step-by-step explanation:

103. 68 in. 2

2cmo salamanders


Related Questions

What is range and X range?.

Answers

The range of a set of numbers is the difference between the maximum and minimum values in the set.  X range is a type of range chart used to identify patterns in data points over a period of time.

The Range of a dataset is determined by subtracting the smallest value from the largest value in that dataset, providing an indication of the total spread of the data points. Range is a useful metric for understanding the variability of data points and for comparing different datasets.

X Range is a type of range chart used to identify patterns in data points over a period of time. It is a graphical representation of the range of data points and can help to identify trends and seasonal patterns. X Range charts are particularly useful for understanding how data points fluctuate over time, and can be used to identify any outliers in the data that may require further investigation.

X Range charts can be used to identify any clusters of data points, and to compare different data sets. X Range charts are also useful for understanding the overall volatility of a dataset and for making predictions about future data points.

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1. You have always wanted to learn how to juggle, so you decide to buy a brand new chainsaw that retails for $153. If sales tax is 6%, what is the total price you pay?

2. You are a real estate agent, and you sell your client's house for $350,000, earning a 5% commission. How much did you earn?

3. You fail out of school and are forced to become a traveling hamster salesperson. You earn 4% commission on all sales, and after two grueling weeks you manage to sell $710 worth of product. How much do you make?

Answers

Answer:

1. The total price you pay is $162.18

2. You earn $17,500

3. You earn $28.40

Step-by-step explanation:

1. 153 times 6% or 153 times 0.06 = 9.18

153 + 9.18 = 162.18

2. 350,000 times 5% or 350,000 times 0.05 = 17500

3. 710 times 4% or 710 times 0.04 = 28.4

What is the length of the side opposite the angle θ?.

Answers

A right triangle's hypotenuse is its longest side, its "opposite" side is the one that faces a certain angle, and its "adjacent" side is the one that faces the angle in question.

A right triangle's hypotenuse is always the side that faces away from the right angle. It is the right triangle's longest side. The adjacent and opposing sides are the other two sides. These sides have labels that relate to angles. From a particular angle, the other side is across.

The non-hypotenuse side next to a specific angle is referred to as the neighboring side. Sine, cosine, and tangent are three trigonometric functions that are defined by the terms hypotenuse, opposite, and adjacent.

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The complete question is:

What is the length of the side opposite the right angle?

What are the 4 properties of multiplication examples?.

Answers

The 4 properties of multiplication are Associative Property, Commutative Property, Distributive Property, and Identity Property.

The properties of multiplication are particular rules that are used while multiplying numbers. These properties help simplify expressions easily and, hence, have a significant role in solving all kinds of mathematical expressions, whether algebraic expressions, fractions, or integers.

Associative Property: (P × Q) × R = P × (Q × R)

For example, (4 × 5) × 3 = 4 × (5 × 3) = 60.

Commutative Property: P × Q = Q × P

For example, 3 × 4 × 2 = 2 × 3 × 4 = 24.

Distributive Property: P(Q + R) = PQ + PR; P(Q - R) = PQ - PR

For example, 3(2 + 4) = (3 × 2) + (3 × 4) = 6 + 12 = 18.

Identity Property: P × 1 = P

For example, 4 × 1 = 4, or 1 × 27 = 27.

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Which data set could be represented by the boxplot shown?

A. {6, 6, 8, 8, 9, 12, 13, 13, 14}
B. {6, 6, 7, 9, 9, 12, 13, 14, 16}
C. {6, 7, 8, 9, 10, 11, 12, 13, 14}
D. {6, 7, 9, 9, 9, 12, 13, 14, 14}

Answers

A data set which could be represented by the boxplot shown include the following: A. {6, 6, 8, 8, 9, 12, 13, 13, 14}.

What is a box-and-whisker plot?

In Mathematics, a box plot is sometimes referred to as box-and-whisker plot and it can be defined as a type of chart that can be used to graphically or visually represent the five-number summary of a data set with respect to locality, skewness, and spread.

Based on the information provided above, the five-number summary for the given data set include the following:

Minimum = 6First quartile = 7.Median = 9.Third quartile = 13.Maximum = 14.

For the median, we have:

Median = 6, 6, 8, 8, 9, 12, 13, 13, 14

Median = 9.

In conclusion, we can logically deduce that the median of the given data set is equal to 9 while the first quartile is 7 and the third quartile is 13.

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Carly tried to solve an equation step by step.

4
(
7
j
+
2
)
=
10
7
j
+
2
=

40
Step
1
7
j
=

42
Step
2
j
=

6
Step
3

−4(7j+2)
7j+2
7j
j


=10
=−40
=−42
=−6


Step 1
Step 2
Step 3

Answers

carly didnt multiply 7j and 2 by -4, instead she multiplied the 10 by -4

How do you solve systems by elimination with multiplication?.

Answers

To solve the given system of equations using elimination method following steps need to follow:

Equate the coefficient in opposite sign by multiplying the equation by required number for the variable you want to eliminate.

As given in the question,

Steps required to solve the given system of equations by elimination method with multiplication:

To eliminate x-term equate the coefficient of x in opposite sign.

4x + 3y = 1  __(1)

3x + 4y = 1  __(2)

1. Multiply 3 to (1) and -4 to (2)  to eliminate the x-term.

12x + 9y = 3  __(3)

-12x - 16y = -4   __(4)

2. Now add (4) from (3)  and eliminate x-term.

12x + 9y = 3  

-12x - 16y = -4

0x -7y = -1

⇒ y = 1 / 7.

Therefore, solution of the system of equation using elimination method with multiplication is:

Equate the coefficient in opposite sign by multiplying the equation by required number for the variable you want to eliminate.

The above question is incomplete , the complete question is :

How do you solve systems of equations by elimination method with multiplication?.

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Is the inverse of a function always a function example?.

Answers

Every function has an inverse, but not every inverse will be a function.

A function takes a starting value, performs some operation on this value, and creates an output answer.

The inverse function takes the output answer, performs some operation on it, and arrives back at the original function's starting value.

An inverse relation is the set of ordered pairs obtained by interchanging the first and second elements of each pair in the original function.

A function is a one-to-one function if and only if each second element corresponds to one and only one first element.

Example:

consider the inverse of the function an f(x)=2x-4.

y=2x-4

x=y-4

x+4=y

f⁻¹(y)=x+4

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In a certain tate about 3/5 of regitred voter particated in 2016 election what fraction of regitred voter did not

Answers

The fraction of registered voter that did not participate was 2/5

What is a fraction?

Is a number that expresses the portion of some number over a total. The number that expresses the portion is known as the numerator and the number that expresses the total is known as the denominator.

To solve this exercise we have to perform a mathematical operation with fractions:

Information about the problem:

Total = 1Registered voter participated= 3/5No. did not participate = ?

Calculating the fraction of the registered voter that did not vote we get:

No. did not participate = Total - Registered voter participated

No. did not participate = 1 - 3/5

No. did not participate = (5 - 3) /5

No. did not participate = 2/5

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How do i solve this?

Answers

Answer:

x = 45/2 or 22.5

Step-by-step explanation:

Since we are given CDE ~ KLM, we know that C is similar to K, D is similar to L, and E is similar to M. The problem asks to find DE, so by comparison, it is known that DE is similar to LM.

From the two triangles, KM is similar to CE, and we can see that the ratio between the two is 8:15. We are given LM, which is 12, so we can find x using this equation to compare the smaller triangle to the bigger one:

KM/CE = LM/DE

Plug in your given values:

8/15 = 12/x

Find x:

x = 45/2 or 22.5

What are the 4 identities of algebraic expressions Class 8?.

Answers

The four basic algebra identities are as follows.

(a + b)² = a² + 2ab + b²(a - b)²= a²- 2ab + b²(a + b)(a - b) = a² - b²(x + a)(x + b) = x² + x(a + b) + ab

Algebraic expression:

Algebraic expressions are mathematical expressions that result when we perform operations such as addition, subtraction, multiplication, and division on variables and constants. For example, let's say James and Natalie were playing with matches and wanted to create a pattern of numbers in matches. James played four games and formed No. 4. Natalie added three more games and two he formed a pattern of four. They realized they could add 3 matches to each round to get an extra '4'. From this, they concluded that, in general, 4 + 3 (n-1) double crochet stitches are required to create n 4 patterns. Here 4+ 3(n-1) is called an algebraic expression.

Algebraic Identities:

Algebraic identities are an important set of formulas in mathematics. They form the basis of algebra and help us perform calculations in simple and easy steps. Certain algebraic problems require a number of mathematical steps to be performed in order to arrive at an answer. Here, algebraic identities can be used to perform calculations without additional steps.

An algebraic identity is an algebraic equation in which the value of the left side of the equation is exactly equal to the value of the right side of the equation. The four basic algebra identities are as follows.

(a + b)² = a² + 2ab + b²(a - b)² = a² - 2ab + b²(a + b)(a - b) = a² - b²(x + a)(x + b) = x² + x(a + b) + ab

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FV of $600 each 6 month for 4 year at a nominal rate of 8%, compounded emiannually. Do not round intermediate calculation. Round your anwer to the nearet cent

Answers

The future value of the $600 invested semi-annually at 8% nominal interest rate for 4 years is $1369.44 rounded to the nearest cent.

The formula to use in this case is FV = PV(1 + r/n)^nt, where FV is the future value, PV is the present value, r is the nominal interest rate, n is the number of times the interest is compounded per year, and t is the number of years.

Given the information in the problem, we know that:

PV = $600 (the present value)

r = 0.08 (the nominal interest rate as a decimal)

n = 2 (the interest is compounded semi-annually)

t = 4 (the number of years)

Plugging these values into the formula, we get:

FV = $600(1 + 0.08/2)^(2*4)

To solve for FV, we need to calculate (1 + 0.08/2)^(2*4)

= (1.04)^8

=2.2824

FV = $600*2.2824

FV = $1369.44

Thus, the future value of the $600 invested semi-annually at 8% nominal interest rate for 4 years is $1369.44 rounded to the nearest cent.

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PV = $600 (the present value)

r = 0.08 (the nominal interest rate as a decimal)

n = 2 (the interest is compounded semi-annually)

t = 4 (the number of years)

Plugging these values into the formula, we get:

FV = $600(1 + 0.08/2)^(2*4)

To solve for FV, we need to calculate (1 + 0.08/2)^(2*4)

= (1.04)^8

=2.2824

FV = $600*2.2824

FV = $1369.44

The average temperature during the winter in the Arctic tundra i -34C. You can convernt Celete C to degree farenhite F uing the formula F=9\5C 32

Answers

The average temperature during the winter in the Arctic tundra i -34C which is also 93.2 degrees Fahrenheit

The difference between the freezing point of water and its boiling point at normal atmospheric pressure is divided into exactly 100 equal parts to determine the temperature in degrees Celsius (degrees). Water has a freezing point set at 0° and a boiling point set at 100°.

Therefore, a 100°C difference is precisely equivalent to a 180°F difference. As a result, each degree in Celsius is equivalent to 1.8 degrees Fahrenheit.

The 34 Celsius to Fahrenheit formula is a linear function:

[°F] = ([34] x 9 ⁄ 5) + 32.

Therefore, we get:

34 C to F = 93.2 °F

34 °C in °F = 93.2 Fahrenheit

34 C in F = 93.2 degrees Fahrenheit

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What is 30% of 85  URGENT

Answers

Answer: 30 percent of 85 is 25.5

Answer:

the answer is 25.5

Step-by-step explanation:

this is because 85 in our question is equivalent to thus you just need to cross multiply

The ratio of markers to crayons in an artist's collection is 4:3. Which of the following ratios is equivalent to 4:3?

Answers

Answer:

A

Step-by-step explanation:make brainiest

What is the solution to y 6 =- 3y 26?.

Answers

The solution to y+6 =- 3y-26 is 8.

The solution to the equation y+6 =- 3y-26 is to solve for y. This can be done by rearranging the equation and combining like terms. The equation can be rearranged to -3y-y+6 = -26.

Combining the like terms yields -4y+6 = -26.

To solve for y, subtract 6 from both sides.

These yields -4y = -32.

Finally, divide both sides by -4 to obtain y = 8.

Therefore, the solution to the equation y+6 =- 3y-26 is y = 8.

Understanding the solution to an equation is a critical part of algebra and can be used to solve a variety of problems. There are many methods for solving equations, and it is important to understand each type and how to employ them appropriately. Solving equations like y+6 =- 3y-26 requires rearranging the equation and combining like terms to obtain the solution. Once the equation is in a simpler form, the solution can be found by applying basic math operations.

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a+b=b-a
what are some numbers to make this equation true?​

Answers

Answer:

b =0nand a =0 simple beacaes3 0-0=0and 0+0=0

What is the value of ƒ(g(3)) when ƒ(x) = x³ + 5x² − 2x − 1 and g(x) = x² –
- -
- 4?

Answers

The value of the function ƒ(g(3)) is 239, when  ƒ(x) = x³ + 5x² − 2x − 1  and g(x) = x² – 4.

What is function?

A function is an equation with just one solution for every value of y in the equation. A function pairs each input of a particular type with exactly one output.

Instead of y, it is typical to name functions f(x) or g(x). f(2) instructs us to calculate the value of our function when x is equal to 2.

We have given to find ƒ(g(3))

when ƒ(x) = x³ + 5x² − 2x − 1

and g(x) = x² – 4

When g(3) = (3)² – 4

= 9 - 4

= 5

For

ƒ(g(3)) = (5)³ + 5(5)² − 2(5) − 1

= 125 + 125 - 10 - 1

= 239

Thus, the value of the function ƒ(g(3)) is 239, when  ƒ(x) = x³ + 5x² − 2x − 1  and g(x) = x² – 4.

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Jayden invests $2,644.93 in a retirement account with an interest rate of 8% compounded annually. What will the account balance be after 5 years?

Answers

The balance in the account of Jayden after 5 years will be $3,886.27.

What is compound interest?

A loan or deposit's interest is computed using the starting principle and the interest payments from the ago decade as compound interest.

We know that the compound interest is given as

A = P(1 + r)ⁿ

Where A is the amount, P is the initial amount, r is the rate of interest, and n is the number of years.

Jayden invests $2,644.93 in a retirement account with an interest rate of 8% compounded annually. Then the amount after 5 years is calculated as,

A = $2,644.93 x (1 + 0.08)⁵

A = $2,644.93 x (1.08)⁵

A = $2,644.93 x 1.469

A = $3,886.27

The balance in the account of Jayden after 5 years will be $3,886.27.

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Subtract 33 1/3% of 36 from 50% of 88.
Add explanation.

Answers

The value of the expression is 32.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

50% of 88 - 33(1/3)% of 36

This can be written as,

= 50/100 x 88 - (100/3)/100 x 36

= 44 - 12

= 32

Thus,

The value is 32.

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Select the correct answer

Nia wants to check whether the finance charge applied in her credit card statement is correct. To do this, she needs to calculate the average daily

balance in her account for the previous billing cycle. She made a table to do the calculation. The billing cycle is 31 days

What was Nia's average daily balance in this billing cycle?

Balance

Days

7

10

$745. 00

$585. 15

$245 20

$90. 75

A. $13,420. 00

B. $13,418. 00

c. $800. 00

D. $432. 84

E. $430. 48

Answers

The Nia's average daily balance in this billing cycle was equals to the $432.85. So, correct choice is option(D).

Nia wants to check whether the finance charge applied in her credit card statement is correct or not. For this she made a table to do this calculation. The billing cycle is 31 days is present in above figure. We have to calculate the Nia's average daily balance in billing. Average daily balance of Nid is represented by:

Average mean = (Days x Balance)/Total Number of days

So, Days × balance = (745.0 x 7) + (1555. 15 × 10) + (245.20 × 7) + (90.75 × 7)

= 5215 + 5851.5 +1716.4 + 635.25

= $13418.15

Total number of days = 7+ 10 + 7 + 7 = 31 days

Hence, the Average = 13418.15/31

= $432.84

Hence, required average daily balance is $432.84.

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What’s 900+900
Just doing this cause it’s fun

Answers

1800??????????? We love fun
900+900=1800 :D !!!!!!!!!!!!!!!!

Which equation is true?

A.
3
4
=
9
16
B.
6
8
=
4
3
C.
3
5
=
8
10
D.
12
16
=
36
48

Answers

Answer: a and c

Step-by-step explanation:

For what values of k is the quadratic equation 9x2?.

Answers

The possible values of k for the quadratic equation 9x² - 5kx + 1 = 0 has equal roots are 6/5 and -6/5.

The standard form of an quadratic equation is, ax² + bx + c = 0, a ≠ 0 and a,b,c --> constants. The quadratic formula for solution of above equation is, x = ( - b ±√b² - 4ac)/2a , where Discriminate, D is equals to b² - 4ac . We have an quadratic equation, 9x² - 5kx + 1 = 0 --(*)

Step 1 : Determining the discriminant of the quadratic equation : After comparing the equation (*) with standard one , a = 9 , b = - 5k and c = k . So, discriminate formula , D = b² - 4ac

=> D = (- 5k)² - 4×9×1

=> D = 25 k² - 36

Step 2: Determining the values of k : We have equation (*) has equal roots then according to the nature of the roots of an quadratic equation When the value of discriminant, D = 0, then the quadratic equation has real and equal roots.

So, 25 k²- 36 = 0

=> 25 k² = 36

=> k² = 36/25

=> k = ±√36/25

=> k = ± 6/5

Hence, the values of k are ± 6/5.

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Complete question:

For what values of k is the quadratic equation 9x² - 5kx + k = 0, has equal roots?

A bracelet has two colors of beads. The ratio of green beads to blue beads is 2:7. There are 18 green beads. How many beads are there in total?

Answers

63
hope this helps
Good luck

Answer:

81 Bead in total

Ratio: 18:63

Step-by-step explanation:

2*9 = 18

7*9 = 63

There are 16 ounces in one pound.

A box of nails weighs 4 pounds. Using

the variable w. Write and solve a

division equation to find how many

ounces the box weighs.

Answers

According to the equation, the weight of box in ounces is 64.

Firstly let us represent the weight of box with w. Now, the formula to be used for calculation of the weight of box is -

The weight of box in ounces = weight of box in pounds × number of ounces in one pound/one

Keeping the values in formula to find the value of weight of box in ounces.

The weight of box in ounces = 4 × 16/1

Performing multiplication and division on Right Hand Side of the equation to find the weight of box in ounces

The weight of box in ounces = 64 ounces

Thus, the weight of box in ounces is 64.

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Need help with this question please

Ps they all yes and no

Answers

Yes, the equation 9x^2 = 1 has zeroes at ±1/3. The solution is obtained by solving the algebraic equation.

What is algebraic equation?

The term "algebraic expression" refers to a mathematical expression that contains variables, constants, and algebraic operations (addition, subtraction, etc.). The expression must have an equals to sign in order to satisfy the algebraic equation.

We are given 9x^2 = 1

In order to find its roots, we need to find the value of x which are the zeroes for the equation.

So,

⇒9x^2 = 1

⇒x^2 = 1/9

⇒x = √1/9

x = ±1/3

We are given 3x-1 = 0

So,

⇒ 3x = 1

x = 1/3

So, the given equation does not have its zeroes at ±1/3.

Hence, the equation 9x^2 = 1 has zeroes at ±1/3.

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The third part of the question is not complete as the complete equation is not visible.

The ratio of peanuts to raisins is 2:8. What percent of the peanuts and the raisins are peanuts? I need this ASAP.

Answers

Step-by-step explanation:The ratio of peanuts to raisins is 2:8, which means for every 2 peanuts there are 8 raisins. To find the percentage of peanuts, we need to divide the number of peanuts by the total number of peanuts and raisins and then multiply by 100.So, 2 peanuts / (2 peanuts + 8 raisins) * 100 = 20%.Therefore, 20% of the peanuts and raisins are peanuts.

Answer:

20%

Step-by-step explanation:

2+8=10

10*10=100

2*10=2

Please can you give me brainliest?

find (gof)(x) f={(1,2)(3,3)(2,4)(41} g={(1,3)(3,4)(2,2)(4,3)

Answers

Answer:  g o f = {(2,2), (3,4), (4,3), (1,3)}

Step-by-step explanation: First we'll find f(x):-

f(1) = 2

f(3) =3

f(2) =4

f(4) =1

Now we'll find g(x):-

g(2) = 2

g(3) = 4

g(4) = 3

g(1) = 3

Therefore, gof(x) = {(2,2),(3,4),(4,3),(1,3)}

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(gof)(x) is a function that takes the input x and returns 3 if x = 1, 2, or 4, and 4 if x = 3.

To find the composite function (gof)(x), we first apply the function g to the input x, then apply the function f to the result.

For example, if we want to find (gof)(2), we first find g(2) = 2, then find f(2) = 4, so (gof)(2) = f(g(2)) = f(2) = 4.

So to find (gof)(x) we have to substitute the value of x in function g, then the output of function g in function f.

For the given set of functions f and g, the composite function (gof)(x) is:

(gof)(1) = f(g(1)) = f(3) = 3

(gof)(2) = f(g(2)) = f(2) = 4

(gof)(3) = f(g(3)) = f(4) = 3

(gof)(4) = f(g(4)) = f(3) = 3

So (gof)(x) is a function that takes the input x and returns 3 if x = 1, 2, or 4, and 4 if x = 3.

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Can some please help I need to get this answer?

Answers

The hypotenuse square in a right-angled triangle is equal to the sum of the squares of the two shorter sides, according to the Pythagorean theorem.

Pythagoras, a Greek philosopher who was born around 570 BC, is honored in the name of the theorem. Perhaps more than any other mathematical theorem, the theorem has been demonstrated numerous times using a variety of techniques. There are many different types of proofs, some of which go back thousands of years, including both geometric proofs and algebraic proofs.

The Pythagorean relation holds true when Euclidean space is represented by a Cartesian coordinate system in analytical geometry: the squared distance between two points equals the sum of squares of the difference in each coordinate between the points.

[tex]c=\sqrt{ a2+b2}= \sqrt{ 3.92+82}=8.9[/tex]

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evaluate the extent to which the territorial expainsion of manifest destiny caused the united states to become more unified in th period of the 1830s and the 1840s identify the independent and dependent variable in this scenario. type your answer in the space provided.an entomologist (bug scientist) wants to determine if temperature changes how many times a cricket chirps. Describe what will happen next after the neurotransmitter binds to the afferent neuron. internal auditors are responsible for continuing their education to maintain their proficiency. which of the following is true regarding the continuing education requirements of the practicing internal auditor? Which of the following represents the owner'sclaim? explain how you could write a quadratic function in factored form that would have vertex with an x-coordinate of 3 and two roots what are the main purposes of a feasibility study? pseudostratified columnar epithelium cells vary in shape but all cells reach ____. The longet ide of an obtue triangle meaure 20cm. The two horter ide meaure Xcm and 3xcm rounded to the nearet tenth ,what i the greatet poible value of x a life insurance policy would be considered a wagering contract without which of the following philosophers greatly influenced the colonists' views on the role of government? Please help, thank you in advance! 15 POINTS!!! the nurse assesses costovertebral angle tenderness in a client being treated for a urinary tract infection (uti). which test will the nurse anticipate being prescribed to validate the diagnosis of pyelonephritis? when creating pro forma statements, the changes in the liabilities and owners' equity sections depend primarily on the firm's Given the reactions: Mg(s) + 2H2O(l) Mg(OH)2(s) + H2(g) For the reaction to occur at the greatest rate, 1 gram of Mg(s) should be added in the forms of a. large chunks c.small chunks b. a ribbon (a thin, long piece) d. a powder FILL IN THE BLANK mass movements in the colon are initiated by the blank______reflex when there is food in the stomach and by the ________ reflex when there is food in the small intestine. How do I even answer and draw this? Can someone answer this for me please Choose a geographic region of the world of interest and discuss the marine resources present, how they are of value, how they are used, and where their final destinations are (country of export). Determine whether each scenario is best represented by a discrete or continuous domain.1. The distance a woman walks and runs during her morning workout. Discrete or continuous?2. The local candy store sells ring pops for 5 cents each. Discrete or continuous?3. The baseballs height compared to its horizontal distance after being thrown by a player. Discrete or continuous?4. The market sells grapes by the pond. Discrete or continuous?5. The amount paid when purchasing cans of peas. Discrete or continuous? use the method of mathematical Induction to Prove that 4+9+14+19+_ _ + (5n-1) = n/ (3+5n) for all natural numbers n