prime factorization of 107

Answers

Answer 1
the prime factorization is 1

Related Questions

If
IK
and
LN
are parallel lines and mNMJ = 116°, what is mIJM?

Answers

Answer: Since IK and LN are parallel lines, then mIJM and mNMJ are supplementary, meaning that they add up to 180 degrees. Therefore, mIJM = 180° - mNMJ = 180° - 116° = 64°.

Step-by-step explanation:

In the diagram, both circles have the same center, O. The radii of the circles are 3 and 5.
What percent of the diagram is unshaded?

Answers

The correct option for the percent of the unshaded area of the circle is (3). 64%.

What is area of a circle

The area of a circle is π multiplied by the square of the radius. The area of a circle(A) when the radius 'r' is given is πr².

A = πr²

π = 3.14

Area of the bigger circle = 3.14 × 5 × 5

Area of the bigger circle = 78.5

Area of the smaller circle = 3.14 × 3 × 3

Area of the smaller circle = 28.26

Area of the unshaded region of the circle = 78.5 - 28.26

Area of the unshaded region of the circle = 50.24

percent of the unshaded region = (50.24 × 100)/78.5

percent of the unshaded region = 64%

Therefore, the percent of the unshaded area of the circle is equal to 64%.

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. find an interval that will contain 99% of the values of the coefficient of restitution with 95% confidence.

Answers

Assuming that the coefficient of restitution follows a normal distribution, we can use the z-score associated with a 95% confidence level, which is approximately 1.96.

to find the margin of error for the sample mean. Since we want to find an interval that contains 99% of the values, we need to include ±2.5% on both sides of the mean. Thus, the interval can be calculated as follows:

Interval = sample mean ± z-score * (standard deviation / square root of sample size)

Since we do not have information about the mean or standard deviation of the coefficient of restitution, we cannot provide a specific interval. However, if we assume that the standard deviation is 0.1, we can use a rule of thumb that a sample size of at least 30 is required to use the central limit theorem and assume normality. Then, the interval would be:

Interval = sample mean ± 1.96 * (0.1 / square root of 30)

Note that this is just an example, and the interval will depend on the actual sample mean and standard deviation of the coefficient of restitution.

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what is k in this equation 2/3k = 8/15?

Answers

Answer:5/4

Step-by-step explanation:

2/3k=8/15

then,

2*15=8*3k

30=24k

k=30/24=15/12=5/4

2/5 of a gal used 1/4 for coffee.How much milk in cups

Answers

2.4 cups of milk were used.

What is Fraction?

A fraction represents a part of a whole.

Let's start by figuring out how much of a gallon was used for coffee:

1/4 of a gallon = (1/4) x 1 gallon = 0.25 gallons

2/5 of a gallon = (2/5) x 1 gallon = 0.4 gallons

So, 0.25 gallons of the 0.4 gallons were used for coffee

Remaining amount of the 0.4 gallons was used for milk:

0.4 - 0.25 = 0.15 gallons

Now, we need to convert 0.15 gallons to cups.

One gallon is equal to 16 cups

0.15 gallons = 0.15 x 16 cups/gallon = 2.4 cups

Therefore, 2.4 cups of milk were used.

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Share 28 sweet between amanda and busi in the ratio 3:1

Answers

3+1= 4
28/4=7
Therefore one part equals 7
3 x 7 = 21
1 x 7 = 7
Ratio = 21 : 7

For the matrix below. Find a basis for R3 that includes vectors in the set by removing vectors from a linearly dependent set and/or adding vectors to a set that does not span R3.

Answers

A basis for R3 that includes vectors in the set is {[1 0 -2], [3 2 -4], [0 0 1]}. This is achieved by removing the linearly dependent vector [1 0 -2] and adding the vector [0 0 1] to the set to obtain a set that spans R3.

A basis for R3 that includes vectors in the set can be found by removing vectors from a linearly dependent set and/or adding vectors to a set that does not span R3.

The set given is {[1 0 -2], [3 2 -4]}.

To check if the set spans R3, we need to calculate the determinant of the matrix created by the two vectors. The determinant of the matrix is 0, which tells us that the set does not span R3. To create a basis for R3, we need to add a third vector that is not linearly dependent on the other two. We can add the vector [0 1 1] to the set, creating the following set:

{[1 0 -2], [3 2 -4], [0 1 1]}

To check if this set spans R3, we calculate the determinant of the matrix created by the three vectors. The determinant of the matrix is -6, which is not 0.

Therefore, the set {[1 0 -2], [3 2 -4], [0 1 1]} is a basis for R3.

The complete question: For the matrix below. Find a basis for R3 that includes vectors in the set by removing vectors from a linearly dependent set and/or adding vectors to a set that does not span R3.

( matrix attached below )

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Suppose we compute the standard deviation and find that it is equal to 5.50. This number means that the numbers in the sample deviate, on the average:

Answers

The number is the sample deviation, on average 5.5 units from the mean.

The two key areas in statistics are variance and standard deviation. It is a metric for statistical data dispersion. The degree to which values in a distribution deviate from the distribution's average is known as dispersion. The following measurements can be used to determine the extent of the variation:

Range

Quartile Deviation

Mean Deviation

Standard Deviation

Suppose we compute and find that it is equal to 5.5. How do we interpret this number

The number is the sample deviation, on average 5.5 units from the mean.

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40 POINTS!! Prompt: Explain how you could find the area of the figure below.

Answers

The area of the composite figure consists in the sum of the areas of two rectangles, two triangles and a semicircle.

How to determine the area of a composite figure

In this problem we find the representation of a composite figure HJKLMNOP, whose area can be determined as the sum of area of different figures. We find the areas of the following figures herein:

Triangle

A = 0.5 · w · l

Rectangle

A = w · l

Semicircle

A = 0.5π · r²

Where:

w - Widthl - Heightr - RadiusA - Area

The composite figure is the result of summing the areas of two rectangles, two triangles and a semicircle.

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Someone help me with these math problems.

Answers

Answer:

<1=26

<2=154

<3=26

<4=26

<5=154

<6=154

<7=26

Represent the quadratic polynomial 2x2 + x – 6 using algebra tiles and determine the equivalent factored form.

The number of zero pairs needed to model this polynomial is

Answers

The zeroes of the polynomials will be x = (-1 ± 7) / 4.

What is a polynomial?

A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.

To represent the quadratic polynomial 2x²+ x - 6 using algebra tiles, we can use the following tiles:

Two squares with side length x, representing 2x²

One rectangle with length x and width 1, representing x

Six small squares, representing -6

We can arrange these tiles to form a rectangle as shown below:

A rectangle made of algebra tiles with 2x² squares, x rectangle, and -6 small squares]

The area of this rectangle is the same as the value of the polynomial, which is 2x²+ x - 6.

To determine the equivalent factored form of this polynomial, we need to find two binomials that, when multiplied together, give us the original polynomial. We can start by using the quadratic formula:

x = (-b ± √(b² - 4ac)) / 2a

where a = 2, b = 1, and c = -6, since our polynomial is 2x^2 + x - 6.

Plugging in these values, we get:

x = (-1 ± √(1² - 4(2)(-6))) / 2(2)

x = (-1 ± √(49)) / 4

x = (-1 ± 7) / 4

So, the two roots of the quadratic polynomial are x = 3/2 and x = -2.

Therefore, we can write the factored form of the quadratic polynomial as:

2x² + x - 6 = 2(x - 3/2)(x + 2)

To determine the number of zero pairs needed to model this polynomial, we can count the number of negative tiles (small squares) left after forming the rectangle. In this case, we have six negative tiles, which means we need six zero pairs to model this polynomial.

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Answer:

Step-by-step explanation:

Find (f+g)(x).
f(x) = -3x+2
g(x)=x²³

Answers

The value of the composition function ( f + g ) ( x ) = x²³ - 3x + 2

What is Composition of functions?

Evaluation of a function at the value of another function is known as Composition of function. A function composition is a process in which two functions, f and g, form a new function, h, in such a way that h(x) = g(f(x)). This signifies that function g is being applied to the function x. So, in essence, a function is applied to the output of another function.

Given data ,

Let the first function be represented as f ( x )

Now , the value of f ( x ) = -3x + 2

Let the second function be represented as g ( x )

Now , the value of g ( x ) = x²³

On simplifying , we get

The value of ( f + g ) ( x ) = f ( x ) + g ( x )

Substituting the values of f ( x ) and g ( x ) , we get

( f + g ) ( x ) = x²³ - 3x + 2

Hence , the composition function is ( f + g ) ( x ) = x²³ - 3x + 2

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the number of pumps in use at both a six-pump station and a four-pump station will be determined. give the possible values for each of the following random variables. (enter your answers in set notation.) (a) t

Answers

For each variable, the possible values are:

a) T = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

b) X = {-4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6}

c) U = {0, 1, 2, 3, 4, 5, 6}

d) Z = {0, 1, 2}

Item a:

In total, there are 10 pumps, hence the possible values are all integers from 0 to 10, that is:

T = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

Item b:

In the first, there are 6 pumps, and in the second 4, hence, the difference ranges from -4 to 6, that is:

X = {-4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6}

Item c:

The maximum number in a station is 6 pumps, hence this variable ranges from 0 to 6.

U = {0, 1, 2, 3, 4, 5, 6}

Item d:

Either none of the stations has exactly two pumps in use, or one has or both, hence the variable ranges from 0 to 2.

Z = {0, 1, 2}

The question is incomplete. The complete question is:

"The number of pumps in use at both a six-pump station and a four-pump station will be determined. Give the possible values for each of the following random variables. (Enter your answers in set notation.)

a. T = the total number of pumps in use

b. X = the difference between the numbers in use at stations 1 and 2.

c. U = the maximum number of pumps in use at either station

d. Z = the number of stations having exactly two pumps in use"

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The function h is defined by the following rule.
h(x)=2x-2
Complete the function table.
X
-5
-1
1
2
h (x)
0
10

Answers

Answer: See attached.

Step-by-step explanation:

   We will input the given x-values and solve for y by substituting x for the values in the original function, h(x)=2x-2.

h(-5) = 2(-5)-2 = -12

h(-1) = 2(-1)-2 = -4

h(1) = 2(1)-2 = 0

h(2) = 2(2)-2 = 2

he following data represent the flight time (in minutes) of a random sample of six flights from Las Vegas, Nevada, to Newark, New Jersey, on United Airlines. 282, 270, 260, 266, 260, 267 Compute the range and sample standard deviation of flight time. The range of flight time is minutes.

Answers

The range of flight time is 22 minutes, and the sample standard deviation is 8.24 minutes.

To compute the range, we simply subtract the smallest value from the largest value: Range = 282 - 260 = 22.

To compute the sample standard deviation, we first calculate the mean flight time by summing the values and dividing by the sample size:

Mean = (282 + 270 + 260 + 266 + 260 + 267) / 6 = 266.17

Then we subtract the mean from each flight time, square the differences, sum the squared differences, divide by the sample size minus one, and take the square root of the result:

Standard Deviation = √((1/5) * [(282-266.17)² + (270-266.17)² +

(260-266.17)² + (266-266.17)² + (260-266.17)² + (267-266.17)²]) = 8.24.

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Complete Question:

The following data represent the flight time (in minutes) of a random sample of six flights from Las Vegas, Nevada, to Newark, New Jersey, on United Airlines. 282, 270, 260, 266, 260, 267 Compute the range and sample standard deviation of flight time. The range of flight time is minutes.

NEED HELO ASAP!!! WILL GIVE 100 POINTS!!
Using the graphed function above, find the following:
Maximum:
Minimum:
Equation of midline:
Amplitude:
Period:
Frequency:
Equation of the graphed function:

Answers

Maximum: 1, Minimum: -3, Midline y = -1, Amplitude = 4, Period = π, Frequency = 1/π,  equation -4cos(2x) + 1:

Sinusoidal Functions

It refers to the oscillating functions like the sine or cosine which range from a minimum and maximum value periodically.

The graph shown can give us all the information we need to answer these questions:

Maximum: 1

Minimum: -3

The midline goes through the center value (mean) of the max and min values, i.e.

Equation of the midline:

y = (1-3)/2

y = -1

Amplitude is the difference between the maximum and minimum values

A =4

The period is the time it takes to complete a cycle. We can see the minimum value is first reached at x=0 and next at  x = π

Thus the period is

T = π

The frequency is the reciprocal of the period:

f = 1/T = 1/π

The angular frequency is

ω = 2πf

ω = 2

The equation of the function is a negative cosine (since it starts at the minimum) or a shifted sine or cosine. We'll choose the negative cosine, knowing all the parameters:

f(x) = -4cos(2x) + 1

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Differentiate Y = 1/x

Answers

There is your answer

14) Draw MN so that it is parallel to ST.

Answers

Answer:

M--------------N

S---------------T

Step-by-step explanation:

Parallel means that no matter how far they extend they will never touch

For each ornament that a worker makes, he is paid $1.15. He makes 4 ornaments every 15 minutes. Find the amount earned by the worker if he works for 3 hours.
please reply asap!
20 points :)

Answers

Answer: Here you go.

Step-by-step explanation:

The worker makes 4 ornaments every 15 minutes, which is equivalent to 16 ornaments per hour (since 60 minutes / 15 minutes = 4, and 4 x 4 = 16).

Therefore, the worker can make 48 ornaments in 3 hours (since 3 hours x 16 ornaments per hour = 48 ornaments).

If he is paid $1.15 for each ornament he makes, then he earns $55.20 for making 48 ornaments (since 48 ornaments x $1.15 per ornament = $55.20).

Therefore, if the worker works for 3 hours making ornaments, he would earn $55.20.

Determine the lateral area and the surface area of each triangular prism by determining the area of the shape’s net.

Answers

The lateral area and the surface area of the right prism are 540 square yards and 1152 square yards, respectively.

How to determine the lateral area and the surface area of a triangular prism

Herein we find the case of a right prism with a triangular base, whose lateral area (A) and surface area (A'), both in square yards, must be determined.

The lateral area is the sum of the areas of three rectangular faces and the surface area is the sum of the lateral area and the area of the two triangles. Area formulas for rectangles and triangles are shown below:

Rectangle

A = w · l

Triangle

A = 0.5 · w · l

Where:

w - Width, in yardsl - Length, in yards

Now we determine the lateral area and the surface area of the prism:

Lateral area

A = (37 yd) · (5 yd) + (20 yd) · (5 yd) + (51 yd) · (5 yd)

A = 540 yd²

Surface area

A' = 540 yd² + 2 · 0.5 · (51 yd) · (12 yd)

A' = 1152 yd²

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Which of the following statements are true for any triangle

Answers

Answer:

A, C, E

Step-by-step explanation:

TAN = sin / cos

now use algrebra tonsolve the other equations.

B is the value for CoTangent. not tangent.

C is true. multiply both sides by cos

D is false.

E is true. dividing by sin then requires the inverse ratio. which flips fractions on both sides.

If Mark can go 48 miles on 2 gallons of gas. How many miles can you go on 20 gallons of gas?

Answers

Answer:

960 miles

Step-by-step explanation:

just multiply by 48x20=960

jesse uses 3 cups of flour for every 4 tablespoons of butter. How much floud would he need for 9 tablespoons of butter?

Answers

Step-by-step explanation:

27cups of flour got to multiple

Given that cot(θ)<0 and cos(θ)<0, in which quadrant does θ lie?

Answers

if cot(θ)<0 and cos(θ)<0, then we can conclude that θ lies in the second quadrant.

What is trigonometry functions ?

Trigonometry functions are a set of mathematical functions that relate the angles of a triangle to the lengths of its sides. The three main trigonometric functions are sine, cosine, and tangent, which are commonly abbreviated as sin, cos, and tan. These functions can be defined as ratios of the sides of a right triangle.

In a right triangle, the side opposite an acute angle is called the "opposite" side, the side adjacent to the angle is called the "adjacent" side, and the hypotenuse is the side opposite the right angle. With this terminology, we can define the following trigonometric functions:

Sine (sin): The sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse. In other words, sin(θ) = opposite/hypotenuse.

Cosine (cos): The cosine of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse. In other words, cos(θ) = adjacent/hypotenuse.

Tangent (tan): The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side. In other words, tan(θ) = opposite/adjacent.

There are also three reciprocal trigonometric functions: cosecant (csc), secant (sec), and cotangent (cot). These functions are the reciprocals of sine, cosine, and tangent, respectively.

Trigonometric functions have many practical applications in fields such as engineering, physics, and astronomy, where they are used to solve problems involving angles and distances. They also have many applications in pure mathematics, such as in the study of periodic functions and Fourier analysis.

According to given information :

To understand why θ must be in the second quadrant, we need to recall the signs of the trigonometric functions in each quadrant.

In the first quadrant, all trigonometric functions are positive.

In the second quadrant, sine is positive and cosine is negative.

In the third quadrant, both sine and cosine are negative.

In the fourth quadrant, sine is negative and cosine is positive.

Since we know that cos(θ) is negative, we can conclude that θ lies in either the second or third quadrant. However, since cot(θ) = cos(θ)/sin(θ) and cot(θ) is negative, we know that cos(θ) and sin(θ) must have opposite signs. In the third quadrant, both cos(θ) and sin(θ) are negative, so their quotient cot(θ) would be positive, which is not the case.

Therefore, we can conclude that θ lies in the second quadrant.

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Answer:

If  cot(θ)<0 and cos(θ)<0, then we can conclude that θ lies in the second quadrant.

What are trigonometry functions ?

Trigonometry functions are a set of mathematical functions that relate the angles of a triangle to the lengths of its sides. The three main trigonometric functions are sine, cosine, and tangent, which are commonly abbreviated as sin, cos, and tan. These functions can be defined as ratios of the sides of a right triangle.

In a right triangle, the side opposite an acute angle is called the "opposite" side, the side adjacent to the angle is called the "adjacent" side, and the hypotenuse is the side opposite the right angle. With this terminology, we can define the following trigonometric functions:

Sine (sin): The sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse. In other words, sin(θ) = opposite/hypotenuse.

Cosine (cos): The cosine of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse. In other words, cos(θ) = adjacent/hypotenuse.

Tangent (tan): The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side. In other words, tan(θ) = opposite/adjacent.

There are also three reciprocal trigonometric functions: cosecant (csc), secant (sec), and cotangent (cot). These functions are the reciprocals of sine, cosine, and tangent, respectively.

Trigonometric functions have many practical applications in fields such as engineering, physics, and astronomy, where they are used to solve problems involving angles and distances. They also have many applications in pure mathematics, such as in the study of periodic functions and Fourier analysis.

According to given information :

To understand why θ must be in the second quadrant, we need to recall the signs of the trigonometric functions in each quadrant.

In the first quadrant, all trigonometric functions are positive.

In the second quadrant, sine is positive and cosine is negative.

In the third quadrant, both sine and cosine are negative.

In the fourth quadrant, sine is negative and cosine is positive.

Since we know that cos(θ) is negative, we can conclude that θ lies in either the second or third quadrant. However, since cot(θ) = cos(θ)/sin(θ) and cot(θ) is negative, we know that cos(θ) and sin(θ) must have opposite signs. In the third quadrant, both cos(θ) and sin(θ) are negative, so their quotient cot(θ) would be positive, which is not the case.

Therefore, we can conclude that θ lies in the second quadrant.

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(Percent) Magnus is selling his clothes online. He is seling his leather jacket for $80 with an additional 5% for shipping and handling. How much would it cost someone to oder the leather jacket from magnus?

Answers

Answer:

$84.00

Step-by-step explanation:

$80.00 x .05 = $4.00

$80.00 + $4.00 = $84.00

Answer:

the cost is $84.00

Step-by-step explanation:

you take 80.00 x 5% tax that gives you $4.00 so the total is $84.00

if the sales ax rate is 7.6%, how much sales tax will you pay on a $330 item?

Answers

Answer:

$25.08

Step-by-step explanation:

7.6% = 0.076

We take

330 times 0.076 = $25.08

You will pay $25.08 sale tax.

HELP: Three vertices of a parallelogram are shown in the figure below.
Give the coordinates of the fourth vertex.

Answers

Answer:

We have to find co-ordinates of the fourth vertex.

Let fourth vertex be D(x,y)

Since, ABCD is a parallelogram, the diagonals bisect each other.

Si, co-ordinate of mid-point of AC= Co-ordinate of mid-point of BD.

∴ The fourth vertex is D(−b,b)

Step-by-step explanation:

Gwen is pouring 48 drinks for a party. Each drink she pours is 8.64 fluid ounces.



The equation above represents this situation where is the total amount of fluid ounces she poured. How many total fluid ounces did she pour?

Answers

Answer: If each drink is 8.64 fluid ounces and Gwen is pouring 48 drinks, then the total amount of fluid ounces she poured is 8.64 fluid ounces * 48 drinks = 413.12 fluid ounces.

Step-by-step explanation:

Given A and b in Exercises 11 and 12, write the augmented matrix for the linear system that corresponds to the matrix equation Ax = b. Then solve the system and write the solution as a vector. 11. A= [ 1 2 4 0 1 5 -2 -4 -3] , b= [-2 2 9]12. A = [1 2 1 -3 -1 0 5 3]' b = [0 1 -1]13. Let u = [0 4 4] and A = [3 -5 -2 6 1 1] is u in the plane R^3

Answers

The solution of the system is equal to u, u is in the plane [tex]R^3[/tex].

Augmented matrix for Exercise 11:

[1 2 4 -2 0 1 5 9 -3]

The solution is: x = 2, y = -3, z = 1

Augmented matrix for Exercise 12:

[1 2 1 0 -3 -1 5 -1 3]

The solution is: x = -1, y = 6, z = -2

To determine if u = [0 4 4] is in the plane [tex]R^3[/tex], we need to find the solution of the system of linear equations formed by the augmented matrix:

[3 -5 -2 0 6 1 4 1 1]

Solving this system, we find that x = 0, y = 4, z = 4. Since the solution of the system is equal to u, u is in the plane [tex]R^3[/tex].

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Jim ordered a sports drink and three slices of pizza for $8.50. His friend ordered two sports drinks and two slices of pizza for $8.00
can you find out how much the pizza and sports drinks cost separately? please and thanks!

Answers

The Price for one slice pizza is $1.25 and for one drink is $2.25.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

Jim ordered a sports drink and three slices of pizza for $8.50.

His friend ordered two sports drinks and two slices of pizza for $8.00.

let the price for pizza be $ and for one drink is $y.

So, the system of equation is

x + 3y = 8.5....(1)

2x+ 2y= 8......(2)

Solving above two equations we get

2(8.5- 3y) + 2y= 8

17 - 6y + 2y= 8

-4y = -9

y= 9/4

y= 2.25

and, x= 8.5- 3(2.25)= 8.5- 6.75 = $1.25

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How to answer the questions about sexuality that children have? Select the descriptions that apply to the ribosome. 1. a molecular structure that is the site of protein synthesis 2. a cellular structure that is composed of both RNA and protein 1. The rectangular prism and rectangularpyramid below have the same volume.Determine the value of x, the height of thepyramid.6 inX:12 in3 inXI12 in6 in Problem 6. Determine if the pair of planes is parallel or intersecting. If they are parallel, find the distance between them. If they intersect, find a parametrization for the line of intersection. 1. 3.x + 2y +z = 8 and x + 3y z = 5. 2. 2.c y +z = 4 and 4.0 2y + 2z = 3. Lisa has recently bought a fixed annuity. What is considered to be a disadvantage of owning this type of annuity? Make a dialogue about natural calamities using suprasegmentals Jacy keeps track of the amount of average monthly rainfall in her hometown. She determines that the average monthly rainfall can be modeled by the function ...where ...represents the average monthly rainfall in centimeters and ... represents how many months have passed. If ... represents the average rainfall in July, in which months does Jacys hometown get at least 10.5 centimeters of rainfall? Show all of your algebraic reasoning to support your final answer. why should you leave outside faucets dripping cold weather? Walking along a large city park on a hot summer day, you look for a cool resting place and sit down on a large rock under a willow tree, at the quiet edge of a stream. You have searched for and found an example of apopulation.landscape.microclimate.biome. a weight loss regimen on the internet claims that 10 minutes of physical activity each day is all you need to lose weight. a more successful plan would multiple select question. also include dietary strategies to reduce energy intake. focus solely on calorie restriction. also include behavior modification strategies, such as self-monitoring of diet and exercise. Which properties are true for all parallelograms? Uncertainty reduction theorists have outlined four approaches people can use to reduce uncertainty. In a(n) _, people talk face to face with the other person and ask specific questions, and this strategy is the quickest route to reducing uncertainty.A) extractive strategy B) interactive strategy C) active strategy D) passive strategy fill in the blank. three vectors ___and have the following x and y components: x component 6 -3 2 y component -3 4 5 the magnitude of the resultant sum of ___ PLEASE HELPQuestion 1The double box-and-whisker plot shows the goals scored per game by two hockey teams during a 20-game season.Team A: median = 3, IQR = 2Team B: median = 7, IQR = 2The variation in the goals scored is the same, but Team B usually scores about 4 more goals per game.Express the difference in the measures of center as a multiple of the measure of variation. What is blephar/o medical term ? genotype-environment correlations occur because biological parents, who are genetically related to the child, provide a rearing environment for the child. how many bits are in a binary number Design an experiment to show that the chemical changes occurring as a log burns in a fireplace are governed by the law of conservation of mass. point B is 2 root 5 units from A and is on the intersection of two gridlines write the co-ordniates of both positions of point B What is the molecularity of each of the following elementary reactions? Write the rate law for each.(a) Cl2(g) 2 Cl(g)(b) OCl(aq) + H2O(l) HOCl(aq) + OH(aq)(c) NO(g) + Cl2(g) NOCl2(g)