Triangle ARE congruent triangle ___ by ____

Triangle ARE Congruent Triangle ___ By ____

Answers

Answer 1

Answer: yes by SSS

hit the like button if it is correct :D


Related Questions

Could the points A(-2,1), B(4,7), and C(1,4) be three vertices of rectangle ABCD?
O No, since AB and BC are not perpendicular.
OYes, since a fourth point can always be determined to form a rectangle.
OYes, since AB and BC form a right angle.
O No, since AB and BC are not parallel.

Answers

Since, AB and BC are not perpendicular,

No, Points A(-2,1), B(4,7), and C(1,4) cannot be three vertices of rectangle ABCD.

The correct option is A.

What is rectangle?

A rectangle is a quadrilateral in which all the angles are equal and the opposite sides are equal and parallel.

A rectangle is a closed two-dimensional figure with four sides, all the angles of a rectangle are equal to 90°.

Given points

A(-2,1),

B(4,7), and

C(1,4)

For being vertices of rectangle

Angle between line segment AB and BC should be 90°.

Slope of line AB

m = (y - y')/(x-x')

m = (7 - 1)/(4 - -2)

m = 6/6

m = 1

Slope of line BC

m' = (y - y")/(x - x")

m' = (7 - 4)/(4-1)

m' = 3/3 = 1

Since slope of the two lines is same that is both are parallel, which is only possible when A, B, C are in a straight line.

Hence,  points A(-2,1), B(4,7), and C(1,4) cannot be three vertices of rectangle ABCD.

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Mario and Russell plot a triangle on a coordinate grid and then perform a
rotation and a translation. Russell thinks the original triangle and final triangle
are congruent but Mario disagrees. Which student is correct and why?
Russell is correct. Since neither rotations no translations preserve distance, the
triangles are congruent.
O Mario is correct. Since neither rotations not translations preserve distance, the
triangles are not congruent.
Mario is correct. Since both rotations and translations preserve distance, the triangles
are congruent.

Russell is correct. Since both rotations and translations preserve distance, the
triangles are congruent.

Answers

Since two triangle are considered to be congruency if each of their 3 sides, and Mario is correct, the correct response is SSS.

How may a triangle's congruence be demonstrated?

If a triangle's size and shape are a perfect match, it is said to be congruent. The symbol is contained in the word "congruent". The three sides and three angles of two triangle are said to be congruent when their three sides and three angles coincide.

Here,

As illustrated below, start by writing the names of the triangles' vertices, starting with triangles DAB and BCD.

AB = CD

DA = BC

Side BD is the same in both triangles, therefore

BD = BD

The fact that the triangle DAB & BCD have the same number of angles on each side indicates that they are congruent and utilise the SSS property of a congruence triangle.

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The length of a rectangle is 7 les than twice the length of the width if the area of the rectangle is 15 square meters, find the dimensions of the rectangle define your variables and write an equation PLEASE HURRY SHOW STEPS

Answers

For the given area 15 m², The length of rectangle is 3 and breadth is 5.

The equation for calculating a rectangle's area. Rectangle's surface area. A = l × b. Once the length and breadth of a rectangle are known, its area may be computed. The area of the rectangle can be calculated as a square unit by multiplying the length and width.

Given,

Let length of rectangle = L

Breadth of rectangle = B

According to the question,

L = 2B - 7

Area = 15 m²

Area of rectangle = Length × Breadth

15 = (2B - 7)(B)

⇒ 15 = 2B² - 7B

⇒ 2B² - 7B - 15 = 0

⇒ 2B² - 10B + 3B - 15 = 0

⇒ 2B(B - 5) + 3(B - 5) = 0

⇒ (2B + 3)(B-5) = 0

⇒ B = 5 or B = -3/2

The value of Breadth cannot be negative

L = 2(5) - 7

L = 3

The length of rectangle is 3 and breadth is 5.

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BRAINLIEST Please and Thank you

Answers

This is a scalene triangle because the three side lengths are not equal.

-8r-3(-6-5r)=8-5(4-2r) show work pleaseeeee

Answers

Answer:

[tex]r=-2[/tex]

Step-by-step explanation:

First, apply the distributive property: A(B + C) = AB + AC

[tex]-8r-3(-6-5r)=8-5(4-2r)[/tex]

[tex]-8r+18+15r=8-20+10r[/tex]

Then, get all of the r's on one side.

[tex]-8r+18+15r=8-20+10r[/tex]

↓ subtract 18 from both sides

[tex]-8r+15r=8-2+10r[/tex]

↓ subtract 10r from both sides

[tex]-8r+5r=8-2[/tex]

Finally, solve for r by combining like terms, then dividing by -3.

[tex]-3r = \ 6\\\overline{\, -3 \: } \ \ \ \ \overline{-3}[/tex]

[tex]r = -2[/tex]

The function g is given in three equivalent forms. Which form most quickly reveals the vertex?
Choose 1 answer:
(Choice A) A g(x)=3(x+3)(x-1),
(Choice B) B g(x)=3x^2+6x-9
(Choice C) C g(x)=3(x+1)^2-12

What is the vertex?

Answers

Since the function g is given in three equivalent forms, a form which most quickly reveals the vertex is: C. g(x) = 3(x + 1)² - 12.

The vertex is equal to (-1, -12).

What is the vertex form of a quadratic equation?

In this exercise, you are required to determine and select the vertex form of a function g that is written in three equivalent forms. Mathematically, the vertex form of a quadratic equation is given by this formula:

y = a(x - h)² + k

Where:

h and k represents the vertex of the graph.a represents the leading coefficient.

Based on the information provided, we can reasonably infer and logically deduce that a mathematical expression which quickly reveals the vertex of the quadratic equation is given by g(x) = 3(x + 1)² - 12.

Since the directrix is horizontal, the axis of symmetry would be vertical. Additionally, the distance (a) from directrix to vertex on the axis of symmetry is equal to 3.

In conclusion, the vertex of this quadratic equation is given by the ordered pair (-1, -12).

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The number of fish in a lake decreased by 53% between last year and this year last year there where 245 fish in the lake what is the population this year?

Answers

The number of fish remaining in the lake this year will be 115.

What does a population mean?

A population mean any group that shares at least one characteristic. Populations are more than just individuals. People, animals, businesses, buildings, motor vehicles, farms, objects, or events are examples of populations.

Data

The decrement in number of fish = 53%.

Number of fish previous year = 245

Remaining number of fish  will be 47%.

The population of fish this year will be:

= 47% * 245 fish

= 115 fish.

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Find an expression to present the perimeter of the triangle below

Answers

i am sorry i don't know the answer

Can you PLSS help me answer these question?

AND PLS GIVE A EASY + DETAILED STEP BY STEP ON HOW U GOT THE ANSWER BC IM SLOW LOL

1. 3x - 2y = 11
x + 2y=9

2. 3x + y= 9
2x+ y = 5

3. -x - 2y=4
3x + 2y=4

4. x + 3y= (-2)
3x + 4y= (-1)

Answers

Answer:

See below for answers and explanations

Step-by-step explanation:

Problem 1

[tex]\displaystyle \left \{ {{3x-2y=11} \atop {x+2y=9}} \right.\\\\(3x-2y)+(x+2y)=11+9\\3x+x-2y+2y=20\\4x=20\\x=5\\\\x+2y=9\\5+2y=9\\2y=4\\y=2\\\\(5,2)[/tex]

Problem 2

[tex]\displaystyle \left \{ {{3x+y=9} \atop {2x+y=5}} \right.\\\\(3x+y)-(2x+y)=9-5\\3x-2x+y-y=4\\x=4\\\\2x+y=5\\2(4)+y=5\\8+y=5\\y=-3\\\\(4,-3)[/tex]

Problem 3

[tex]\displaystyle \left \{ {{-x-2y=4} \atop {3x+2y=4}} \right.\\\\(-x-2y)+(3x+2y)=4+4\\3x-x-2y+2y=8\\2x=8\\x=4\\\\-x-2y=4\\-4-2y=4\\-2y=8\\y=-4\\\\(4,-4)[/tex]

Problem 4

[tex]\displaystyle \left \{ {{x+3y=-2} \atop {3x+4y=-1}} \right.\\ \\\\\left \{ {{3x+9y=-6} \atop {3x+4y=-1}} \right.\\\\(3x+9y)-(3x+4y)=-6-(-1)\\3x-3x+9y-4y=-6+1\\5y=-5\\y=-1\\\\x+3y=-2\\x+3(-1)=-2\\x-3=-2\\x=1\\\\(1,-1)[/tex]

Basically, the goal is to eliminate one variable from a system of equations to solve for the other variable. In the case of problem 4, we had to multiply an equation by a constant in order to eliminate that variable.

dose anyone know how to do this attached below

Answers

The area of the shaded section is approximately equal to 219.711 square meters.

How to determine the area of the shaded section

In this problem we find the case of a shaded section, whose area must be determined. This can be realized by finding the area of rhombus OPQR and subtract the circular section OPR from it. All missing lengths of the triangles from the rhombus can be found by trigonometric functions.

The formula to determine the area of the shaded area is:

A = 2 · 0.5 · OR · RQ - (140 /360) · π · OR²

RQ = OR · tan 70°

If we know that OR = 12 m, then the area of the shaded section is:

RQ = 12 · tan 70°

RQ = 32.970

A = 2 · 0.5 · OR · RQ - (140 /360) · π · OR²

A = OR · RQ - (7π / 18) · OR²

A = 12 · 32.970 - (7π / 18) · 12²

A ≈ 219.711 m²

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What is y 3x 10 in function notation?

Answers

The equation y = 3x + 10 can be written in function notation as f(x) = 3x + 10.

In this notation, x is the input variable, and f(x) is the output or dependent variable.

Function notation is used to express the relationship between two variables, where one variable is a function of the other. In this case, the equation y = 3x + 10 tells us that y is a function of x, with a slope of  3 and a y-intercept of 10.

So, in function notation, this equation can be written as:

f(x)=3x+10

In conclusion, the equation y = 3x + 10 can be written in function notation as f(x) = 3x + 10. This notation expresses the relationship between the two variables x and y, where y is a function of x, represented by f(x) with a slope of 3 and a y-intercept of 10.

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What is y = 3x + 10 in function notation?

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Why are all the multiples of 8 even?

Answers

All the multiples of 8 represents they are even numbers because of the following property:

Odd × even = Even

As given in the question,

Given number is equal to 8,

Multiples are those numbers which we get after multiplying the given number to any of the integer.

Multiples of 8 are equal to:

8, 16, 24, 32, 40, 48, 56, ..... so on.

Even numbers are those numbers which get divided by 2 without leaving the remainder.

Odd × odd = Odd

Even × even = even

Odd × even = Even

When we multiply any number by an even number result is always an even number.

Example:

2 (even) × 2(even) = 4(even)

2  (even) × 3 (odd ) = 6 (even)

Here

8 is an even number multiplying any integer to 8 is always an even number.

Therefore, all the multiples of given number  8 are always an even number as Odd × even = Even.

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What is equality for Class 7?

Answers

In mathematics, equality refers to the relationship between two expressions or values, indicating that they are equivalent or have the same value.

For example, the equation "2 + 3 = 5" states that the left side of the equation (2 + 3) is equal to the right side of the equation (5). Equality can be represented using the symbol "=", which is called the equality sign or equal sign.

Equality can also be used in other mathematical concepts such as congruence, similarity, and equivalence. For example, two triangles are congruent if they have the same shape and size, two figures are similar if they have the same shape but different sizes, and two equations are equivalent if they have the same solutions.

Equality in mathematics is transitive, meaning that if a = b and b = c, then a = c, and reflexive, meaning that a = a for any value of a.

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You earn $28.50 per hour. Worked 34 hours last week. What was your gross pay?
Your answer

Answers

Answer:$969

Step-by-step explanation:

In a certain city, each block is about 275
meters long. If the post office is 13 blocks
away from the library, approximately how
many miles is it from the post office to the
library? Round your answer to the nearest
tenth.

Answers

Using linear equations, it is 3570metre  from the post office to the

library

What is a linear equation ?

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form

Ax + B = 0

e.g. x-10=0. Here, x is a variable, A is a coefficient and B is constant.

The standard form of a linear equation in two variables is of the form

Ax + By = C

e.g. 2x-4y=10. Here, x and y are variables, A and B are coefficients and C is a constant.

Now,

Length of each block=275 meter

let's Create a linear equation from this i.e. 275x where x=number of blocks.

No. of blocks from  post office to the library = 13 (x=13)

so, distance of  post office to the library= 275*13

                                                                    =3575meter

                                                        ≈3570 meter (round to nearest 10th)

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What is the formula for a 45 degree triangle?

Answers

Using the formula of Pythagorean Theorem we can find a 45 degree triangle.

The degrees of the triangle's three inner angles give rise to its name, 45, 45, and 90. The triangle formed by the angles 45, 45, and 90 is said to be isosceles since two of the angles are less than the third.

Due to the fact that this triangle has one angle that is precisely 90 degrees, it is also regarded as a right triangle.

The following guidelines apply to the 45-45-90 triangle's characteristics:

1. There must always be a right angle in one angle.

2. The second pair of angles must always be 45-degree angles.

3. A triangle has two equal-length sides, but the third side is always longer.

Using the Pythagorean Theorem - Since a 45-45-90 triangle has a right angle, the length of its sides may be calculated using the Pythagorean Theorem.

Recall the formula for the Pythagorean Theorem:

a^2 + b^2 = c^2.

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Please help it’s argent

Answers

Answer:

40%

Step-by-step explanation:

no of children = 16

no of adult = 24

total = 40

percentage of people who are children =

[tex] \frac{16 \\ }{40} \times 100\%[/tex]

[tex] = \frac{1600 \\ }{40} \%[/tex]

[tex]40\% \\ [/tex]

i hope this helped

Urgent help needed urgent urgent

Answers

The polynomial for x2 -4 in function notation is (x+2)(x-2) since a function produces an output from an input.

what is function ?

Mathematics deals with numbers and their variants, equations and related structures, shapes and their locations, and locations where they might be found. The term "function" describes the connection between a group of inputs, each of which has a corresponding output. A function is an association between inputs and outputs where each input results in a single, unique output. A domain and a codomain, or scope, are assigned to each function.The input is an x. On functions, one-to-one functions, many-to-one functions, within functions, and on functions are the four main categories of functions that are available.

given

A function creates an output from an input.

The name of the function, f (x) f(x) f(x)f, left parenthesis, x, right parenthesis, and the output, f (x) f(x) f(x)f, left parenthesis, x, right parenthesis, are all enclosed in parentheses.

x2 -4

(x2 - 2*2)

= (x+2)(x-2)

The polynomial for x2 -4 in function notation is (x+2)(x-2) since a function produces an output from an input.

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What is the value of 9^−6/9^−4?

Answers

Answer:

[tex]\frac{1}{81}[/tex]

Step-by-step explanation:

using the property of exponents

• [tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]\frac{1}{a^{(n-m)} }[/tex] , then

[tex]\frac{9^{-6} }{9^{-4} }[/tex]

= [tex]\frac{1}{9^{(-4-(-6))} }[/tex]

= [tex]\frac{1}{9^{(-4+6)} }[/tex]

= [tex]\frac{1}{9^2}[/tex]

= [tex]\frac{1}{81}[/tex]

Answer:

1/81

Steps:

move 9^-6 to the denominator using the negative exponent rule

b^-n=1/b^n

1/9^-4 x 9^6

Multiply 9^-4 by 9^6 by adding the exponents

1/9^2

Raise 9 to the power of 2

1/81

what is three fourths plus one third

Answers

Answer:

3/4 + 1/3 = 13/12 = 1 1/2

Step-by-step explanation:

what is 7/10+1/2+38 and type the anserw for me betterly

Answers

Answer: 39 1/5

Step-by-step explanation:

7/10 + 1/2 + 38

= 7/10 + 5/10 + 38

= 12/10 + 38

= 38 12/10

= 39 2/10

= 39 1/5

If the 38 was supposed to be 3/8, heres the answer :

7/10 + 1/2 + 3/8

= 28/40 + 20/40 + 15/40

= 63/40

= 1 23/40

3 Look at the equation below.
y = 2x - 2
Which situation is best described by the
equation?
The temperature at 2:00 A.M. is 2°C and
rises 2° each hour for x hours.
The temperature at 2:00 A.M. is -2°C and
rises 2° each hour for x hours.
The temperature at 2:00 A.M. is 2°C and
drops 2° each hour for x hours.
The temperature at 2:00 A.M. is -2°C and
drops 2° each hour for x hours.??

Answers

Answer:the temperature at 2:00 am is 2C and drops 2 each hour for X hours

Step-by-step explanation:

What is the area of the triangle?
2 m
4 m
3 m
square meters

Answers

first

Semi perimeter (S)=(2+4+3)/2

=9/2=4.5

now

area=

[tex] \sqrt{4.5(4.5 \times 2)(4.5 \times 4)(4.5 \times 3)} [/tex]

[tex] \sqrt{s( s- a)( s-b )( s- c)} [/tex]

which is equal to

99.20

Add the expreion (-4/5t 5/3) and (-3 2t)

a)-19/5t 11/3

b)13/15t - 1

c)-4/3t 1

d)6/5t - 4/3

Answers

The addition of the algebraic expression is = [tex]\frac{6}{5} t - \frac{4}{3}[/tex], so option (d) is correct.

Given that,

The expression (-4/5t + 5/3) and (-3 + 2t)

The addition of algebraic expressions requires categorizing the terms in an algebraic expression into two types - like and unlike terms.

An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.). ...

These expressions are represented with the help of unknown variables, constants and coefficients.

Then, take up the like terms and add them.

The addition of algebraic expression is;

= [tex]-\frac{4}{5} t + \frac{5}{3} -3+2t[/tex]

= [tex]-\frac{4}{5} t+2t+\frac{5}{3} -3[/tex]

= -0.8t + 2t + 1.66 - 3

= 1.2t - 1.34

= [tex]\frac{6}{5} t - \frac{4}{3}[/tex]

Therefore,

The addition of the algebraic expression is = [tex]\frac{6}{5} t - \frac{4}{3}[/tex], so option (d) is correct.

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Ryan deliver flower to two cotumer. He drive 12 minute at an average peed of 40 mile per hour to reach the firt cotumer. He drive for 15 minute at an average peed of 50 mile per hour to reach hi econd cutomer. During the 27 of driving time how many mile doe Ryan drive?

Answers

The total distance Ryan drives during the 27 minutes of driving time is  20.5 miles.

Ryan delivers flowers to two customers and drives 12 minutes at an average speed of 40 miles per hour to reach the first customer and 15 minutes at an average speed of 50 miles per hour to reach the second customer.

To find the total distance that Ryan drives during the 27 minutes of driving time, we can use the formula: distance = speed x time

We know that Ryan drives 12 minutes at 40 miles per hour and 15 minutes at 50 miles per hour. So we can use the formula to find the distance for each part of the trip and then add them together:

distance = 40 miles/hour x (12 minutes / 60 minutes/hour) = 8 miles

distance = 50 miles/hour x (15 minutes / 60 minutes/hour) = 12.5 miles

The total distance Ryan drives during the 27 minutes of driving time is 8 miles + 12.5 miles = 20.5 miles

Therefore, The total distance Ryan drives during the 27 minutes of driving time is  20.5 miles.

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How would you classify angle 1 and angle 5?

Answers

Answer: Alternate Exterior Angles

Step-by-step explanation:


Simply, both angles are outside the paralell lines.

Alex has 2/4 quarts of chocolate milk left in a jug. In another jug he had 2 1/2 pints of chocolate milk . Can Alex pour the milk from both jugs into a third jug that has a capacity of 2 gallons.

Answers

Answer:

Yes, he can

Step-by-step explanation:

We have to find the total of Chocolate milk Alex has by taking

2 1/2 = 5/2

2/4 + 5/2 = 2/4 + 10/4 = 12/4 = 3 quarts of chocolate milk

1 gallon = 4 quart

And here, Alex only has 3 quarts of chocolate milk, so he can pour the milk from both jugs into a third jug.

I just need to know what kind of polynomial expression and the amount of terms

Answers

For the given bi-quadratic polynomial with 4 terms, the constant is -1/6, the leading term is -9x⁴ and the leading coefficient is -9.

What is a polynomial?

When two or more algebraic terms are added, subtracted, or multiplied (no division), the result is a mathematical expression known as a polynomial. Constants, positive exponents, and at least one variable are all commonly present in polynomial expressions.

Consider the given polynomial,

The highest power of the variable is 4. Therefore this type of polynomial is called a bi-quadratic polynomial.

The portions of the equation that are often separated by "+" or "-" signs are known as polynomial terms. The number of terms in the above equation is 4.

The term which does not contain any variables are called constant. For the given polynomial the constant is -1/6.

The term with the largest power of the variable is the leading term. The leading term's coefficient is the leading coefficient.

For the above polynomial, the leading term is -9x⁴ and the leading coefficient is -9.

Therefore the above for the given bi-quadratic polynomial with 4 terms, the constant is -1/6, the leading term is -9x⁴ and the leading coefficient is -9.

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Sarah needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 4. 25 hours and charged her $54 for parts. The total was $585. 25. Write and solve an equation which can be used to determine xx, the cost of the labor per hour.

Answers

The labour cost per hour charged by the technician for the laptop is $124.91

Here we see that it cost Sarah $54 dollars for the parts. Now, the technician charged her $585.25.

Since nothing else is mentioned, we will assume that the technician charged Sarah only for the parts and their labour hours.

Hence after deducting the charge for the computer parts, we can get the cost for the labour. We know the labour hours to be 4.25 hours. We don't know the labour cost, which is to be found.

Let the cost of labour per hour be $x

Hence the labour cost will be $4.25x

Adding the cost of parts will give us the charged amount. Hence we get

4.25x + 54 = 585

or, 4.25x = 531

or, x = 531/4.25

or, x = 124.941

Hence the cost per hour is $124.941

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Place the numbers in order from least to greatest.

Answers

Okay so it should be B, D, E, C, A
Other Questions
A tank initially contains 200gal. Of water in which 50lbs. Of salt are dissolved. A salt solution containing 0. 5lb. Of salt per gallon is poured into the tank at a rate of 1gal/min. The mixture in the tank is stirred and drained off at the rate of 2gal/min. A. Find the amount of salt in the tank until the tank is empty. B. Find the concentration of the salt in the tank until the tank is empty. C. Concentration when the tank is empty The central atom in the chlorate anion, ClO3- is surrounded bya. two bonding and two unshared pairs of electrons.b. two double bonds and no unshared pairs of electrons.c. three bonding and one unshared pair of electrons.d. one bonding and three unshared pairs of electrons.e. none of these. how can the output of the floyd-warshall algorithm be used to detect the presence of a negative weight cycle? explain in detail. Which of the following allows for easy exit of an area in the event of an emergency, but prevents entry? (Select two.)Double-entry door and Turnstile based on ferris' productivity index (page 12) how much would the company incur in labor cost had ferris not invested in the hr initiatives of training and recruiting? a waste with a 5-day bod (bod5) of 200 mg o2/l and a kd of 0.1 d-1 is discharged to a river at a rate of 1 m3/s. (a) calculate the ultimate bod (l0) of the waste before discharge to the river. compared with san francisco, california, winter air temperatures and air density in denver, colorado, are a) write method computetemp, which computes and returns the new temperature for a given element of temps according to the following rules. HELP ASAP!! Why is this quote from Descartes important in history?Quote: "The first was never to accept anything as true if I didn't have evident knowledge of it's Truth. That is, carefully to avoid jumping to conclusions and preserving old opinions. And to include in my judgements only what presented itself to my mind so vividly and so clearly that I had no basis for calling it in question." Answers: it explains his idea that conclusions come from detailed factsIt explains his idea that nature can be studied using mathIt explains his idea that observation comes before ideas It explains his idea that scholars must doubt everything a personal loan is different from a credit card in that it is normally used to finance one large purchase is called Titanium has a normal melting point of 1668 C and a molar enthalpy of fusion of 14.15 kJ mol-1 . The standard molar entropy of liquid titanium is 97.53 J mol-1 K-1 at 1668 C. What is the standard molar entropy of solid titanium at this temperature? The function f is defined by f(x)=3(1+x)^0.5 cos(x6) for 0x3. The function g is continuous and decreasing for 0x3 with g(3)=0. What is the [co2 ] in the solution if the absorbance of a sample of the solution is 0. 74? calculate the number of moles of co2 (aq) in the 50. 00 ml solution. Calculate the mass percent of co in the 0. 630 g sample of the ore FILL IN THE BLANK. Pelagic mud is thinnest at the mid-oceanic because the seafloor becomes ____________ with increasing distance from the ridge.a. younger;b. older;c. farther from land;d. shallower. a nurse practitioner identifies the following image during a microscopic exam of vaginal discharge based on your plot, how much time will elapse before a state of equilibrium is reached and what is the equilibrium temperature? 3. Mary Wollstonecraft wrote in Ms. magazine.TrueFalse Kewbert paced off 9 yards north, then 40 yards east. If he walked straightback to his starting point, how far would he have to walk? the fossil record indicates that there have been five mass extinction events in the past 500 million years (see concept 25.4). many ecologists think we are on the verge of entering a sixth mass extinction event. briefly discuss the history of mass extinctions and the length of time it typically takes for species diversity to recover through the process of evolution. explain why this should motivate us to slow the loss of biodiversity today. the risk-free rate is 3 percent. the expected market rate of return is 13 percent. if you expect stock x with a beta of 1.8 to offer a rate of return of 19 percent, you should