Solve the circled questions.

Solve The Circled Questions.
Solve The Circled Questions.

Answers

Answer 1

Due to length restrictions, we kindly invite to read the explanation below for further details on equivalence of trigonometric expressions.

How to prove a trigonometric equivalence

In this problem we find five case of trigonometry expressions whose equivalence must be proved by means of algebra properties and trigonometric formulas. Now we proceed to show the solution for each case:

Case 3:

tan θ · cos θ

(sin θ / cos θ) · cos θ

sin θ

Case 5:

(1 - cos θ) · (1 + cos θ)

1 - cos² θ

sin² θ

Case 6:

(1 + sin θ) · (1 - sin θ)

1 - sin² θ

cos² θ

Case 7:

(sec θ + tan θ) · (sec θ - tan θ)

sec² θ - tan² θ

1

Case 10:

(tan θ + cot θ) / tan θ

1 + cot θ / tan θ

1 + cot² θ

csc² θ

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Related Questions

Let G be the sales (in millions of dollars) of football jerseys. Let H be the sakes (in millions of dollars) of baseball jerseys. During a 5-year period, G and H can be modeled by the following equations, where t is the time (in years).

G = 15t^4 + 13t^3 + 10t^2 - 10t + 750

H - 11t^4 + 13t^3 + 9t^2 + 8t + 650

a. Find a polynomial function A for the total sales of football and baseball jerseys.
A = ?

b. Is the function A even, odd, or neither? Explain.

Answers

A. A polynomial function A for the total sales of football and baseball jerseys is 26t^4 + 26t^2 + 760

B. The function A is neither even nor odd

How did we get the value?

a. To find a polynomial function for the total sales of football and baseball jerseys, we simply add the two functions:

A = G + H = 15t^4 + 13t^3 + 10t^2 - 10t + 750 + 11t^4 - 13t^3 + 9t^2 + 8t + 650 = 26t^4 + 26t^2 + 760

b. The function A is neither even nor odd. An even function is one that is symmetrical around the y-axis and an odd function is one that is symmetrical around the origin. The polynomial function A has no symmetry around either the y-axis or the origin, so it is neither even nor odd.

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5 books and 7 pens together cost Rs. 79 whereas 7 books and 5 pens together cost Rs. 77. Represent this situation in the form of linear equation in 2 variables.

Answers

Answer:

[tex]5b + 7p = 79[/tex]

[tex]7b + 5p = 77[/tex]

Solve by graphing {(3x+4y=-8) (-x+y=5)} I already know the answer I just need the step-by-step equation.

Answers

Answer: (-4, 1)

Step-by-step explanation:

To solve graphically, change each equation into slope-intercept form

(y = mx + b)

3x + 4y = -8

+8 +8

3x + 4y + 8 = 0

-4y -4y

3x + 8 = -4y

Divide both sides by -4 to get y by itself

-3/4x - 2 = y or y = -3/4x - 2


Do the same for the other equation.

-x + y = 5

+x +x

y = 5 + x or y = x + 5


Plug in the equations graphically. The point at which the two lines intercept is your answer.

what is equivalent to 4(5x8+7)

Answers

Answer:20x^8+28

Step-by-step explanation:multiply both terms by 4

PLEASE HELP IM JUST LAZY At a basketball​ game, a team made 59 successful shots. They were a combination of​ 1- and​ 2-point shots. The team scored 103 points in all. Write and solve a system of equations to find the number of each type of shot.

Answers

The system of equations to find the number of each type of shot is x + y = 59 and x + 2y = 103

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables using mathematical operations. An equation can be linear, quadratic, cubic and so on, depending on the degree of the variable.

The slope intercept form of the linear equation is:

y = mx + b

where m is the slope and b is the initial value.

Let x represent the number of 1 point shots and y represent the number of 2 point shot.

The team made 59 successful shots, hence:

x + y = 59      (1)

Also, The team scored 103 points in all, therefore:

x + 2y = 103    (2)

From both equations:

x = 15, y = 44

The team made 15 number of 1 point shots and 44 number of 2 point shot.

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fully simplify using only positive exponets 4x^2y^4/2x^7y^8

Answers

The required simplified expression of the given expression is [tex]{\frac{2}{x^5y^4}}$[/tex].

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here
When simplifying the expression 4x²y⁴/2x⁷y⁸, we can divide the numerator and denominator by the greatest common factor of each, which is x²y⁴. Doing so gives us:

[tex]$\frac{4x^2y^4}{2x^7y^8} = \frac{4}{2x^5y^4} = \frac{2}{x^5y^4} = \boxed{\frac{2}{x^5y^4}}$[/tex]

Thus, the required simplified expression of the given expression is [tex]{\frac{2}{x^5y^4}}$[/tex].

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Question
According to Dolbear’s law, you can predict the temperature T
(in degrees Fahrenheit) by counting the number x
of chirps made by a snowy tree cricket in 1 minute. For each rise in temperature of 0.25°F, the cricket makes an additional chirp each minute.

a. A cricket chirps 40 times in 1 minute when the temperature is 50°F. Write an equation in slope-intercept form that represents the temperature in terms of the number of chirps in 1 minute.

equation: T=
I need the answer to this fast

Answers

Answer: T = 0.25x + 50, where x represents the number of chirps in 1 minute.

Step-by-step explanation:

a motor car drives at an average speed of 106km/h for 2 hours 45minutes.at which constant speed must the car drive to travel the same distance in 2hours and 35minutes?​

Answers

Answer:

Step-by-step explanation:

Let's start by calculating the distance traveled in the first scenario:

Distance = Average speed x time

First, we need to convert 2 hours and 45 minutes to hours. There are 60 minutes in an hour, so 45 minutes is equal to 45/60 = 0.75 hours. Therefore, the total time is:

2 hours and 45 minutes = 2 + 0.75 = 2.75 hours

Now we can calculate the distance:

Distance = 106 km/h x 2.75 hours = 291.5 km

So the car travels 291.5 km in 2 hours and 45 minutes.

To find the constant speed the car must drive to travel the same distance in 2 hours and 35 minutes, we can use the same formula:

Distance = Speed x time

We know the distance is 291.5 km, and the time is 2 hours and 35 minutes. Again, we need to convert the minutes to hours:

2 hours and 35 minutes = 2 + 35/60 = 2.583 hours

Now we can solve for the speed:

Speed = Distance / time = 291.5 km / 2.583 hours ≈ 113 km/h

Therefore, the car must drive at a constant speed of approximately 113 km/h to travel the same distance in 2 hours and 35 minutes.

Help i need 4- digit code ALL CAPS

Answers

The correct choices are 1) B, 2) G, 3) C, 4) I.

What is percentage?

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.

According to question:

1) The price paid for $60 jeans after a 35% discount is applied can be found as follows:

Discount Amount = 60 * 35% = $21

Price Paid = 60 - 21 = $39

Correct choice is B.

2) The discount amount on a $55 sweatshirt with a 20% discount can be calculated as follows:

Discount Amount = 55 * 20% = $11

Correct choice is G.

3) The 20% tip on a $73 meal can be calculated as follows:

Tip Amount = 73 * 20% = $14.6

Correct choice is C.

4) The 7% sales tax on a new $32,000 car can be calculated as follows:

Tax Amount = 32000 * 7% = $2,240.

Correct choice is I.

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A rectangular picture frame is
5
inches wide and
12
inches tall. You want to make the area
5
times as large by increasing the length and width by the same amount.
Find the number of inches by which each dimension must be increased. Round to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

The current area is 60 sq. in. You wish to increase this area to 300 sq. in. by adding x in two dimensions: namely length and width.

These measurements would be 5 + x wide and 12 + x long.

(5 + x)(12 + x) = 300

x^2 + 17x + 60 = 300

Subtracting 300 from both sides and using the quadratic formula for

x^2 + 17x - 240 = 0,

we find that the one reasonable answer for the measure x is 9.2 inches.

The width of a rectangle is 5 units less than the length. If the area is 150 square units the find the dimensions of the rectangle

Answers

Answer:

Step-by-step explanation:

width is 10 length is 15.


1. mCB=
4. m/FOB =
7. m/FIG=
10. MAE=
13. m/COF=
N
The Biggest Circle Puzzle
You are given the following information:
B
2. mZAJC=
5. mFG=
8. MFI =
11. m/ELD =
14. mFM
M
O is the center of the circle.
AB, CD, and EF are diameters.
3. mCG=
6. m/FPC=
9. m/IKF =
12. mCD-
15. m/FNB =
mGB = 26
mZOAH = 50
m/IGA=24
PI = 4.5
CM = 10
'E
H
m/AOC = 30
m/AHF = 65
IF = 10.5
PC = 3.4
HM = 7.5
LD and LE are tangent to the circle.


HELP PLEASE, SHOW WORK

Answers

The radius of the circle is equal to the distance between the two points, or LD and LE.

What is circle?

A circle is a safe consisting of all points in a plane that are given distance from a given point the centre the distance from the centre to any point on the circle is known as the radius is alkal is no slider corners and all points along the circle are equidistant from the centre.


mCB= Circumference of the circle is the distance around the outside of the circle.
m/FOB= The formula for finding the circumference of a circle is C=2πr, where C is the circumference, π is 3.14, and r is the radius of the circle.
m/FIG= The formula for finding the area of a circle is A=πr2, where A is the area of the circle, π is 3.14, and r is the radius of the circle.
MAE= Mean Average Error (MAE) is used to measure the accuracy of a model or an algorithm by calculating the average difference between the predicted values and the actual values.
m/COF= The coefficient of friction (COF) is a measure of the resistance of a surface to sliding. It is usually expressed as a ratio of the force of friction to the normal force.
mZAJC= Distance between O and A is the same as the distance between J and C, or mZAJC.
mFG= The length of the arc FG is equal to the product of the central angle and the radius of the circle, or mFG.
MFI= The length of the arc FI is equal to the product of the central angle and the radius of the circle, or MFI.
m/ELD= The length of the line segment ED is equal to the difference between the lengths of the two arcs, or m/ELD.
mFM= The length of the arc FM is equal to the product of the central angle and the radius of the circle, or mFM.
m/AOC= The length of the line segment OC is equal to the difference between the lengths of the two arcs, or m/AOC.
m/AHF= The length of the line segment HF is equal to the difference between the lengths of the two arcs, or m/AHF.
IF= The length of the arc IF is equal to the product of the central angle and the radius of the circle, or IF.
PC= The length of the line segment PC is equal to the difference between the lengths of the two arcs, or PC.
HM= The length of the line segment HM is equal to the difference between the lengths of the two arcs, or HM.
LD and LE are tangent to the circle. This means that the radius of the circle is equal to the distance between the two points, or LD and LE.

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one quarter of a number is 6 what is the one third of the number

Answers

Answer:

Step-by-step explanation:

One quarter = 1/4

1/4 of a number is 6.

We have to find that number by taking

6 times 4 = 24

So, we know that number is 24

What is one-third of the number?

1/3 of 24 = 8

So, the answer is 8.

a plane flies 360 miles against the wind in 2 hours 15 minutes, while on its return trip it takes 1 hour 30 minutes with the same wind. determine the air speed of the plane.

Answers

The air speed of the plane to cover 360 miles against the wind and with the wind in the given time is equal to 200 miles per hour.

Let 'x' be the speed of the plane fly in still air.

And 'y' be the speed of the wind.

Speed against the wind = x - y

Speed with the wind = x + y

Total distance covered by plane = 360 miles

Time taken against the wind = 2 hours 15 minutes

                                               = 2 ( 1/4 ) hours

                                               = 9 / 4 hours

Time taken with the wind = 1 hour 30 minutes

                                          = 1 ( 1/2 ) hours

                                          = 3 /2 hours

Speed = distance / time

Against the wind :

x - y = 360 / (9 /4 )

⇒x - y = 160___(1)

With the wind:

x + y = 360 / (3 /2)

⇒x + y = 240 ___(2)

Add (1) and (2) we get,

2x = 400

⇒ x= 200miles per hour

⇒y = 40 miles per hour

Therefore, the air speed of the plane as per given condition is equal to 200miles per hour.

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find the values of a and b that make f continuous everywhere

Answers

It is possible to choose a and b such that the value of function(x) at any given point is equal to the limit of f(x) as x approaches any value. This guarantees that f is continuous throughout.

A function's limit as x approaches any value must match the value of f(x) at that moment in order for the function to be continuous everywhere. In order to ensure that this need is satisfied, the values of a and b that make up f(x), whether it be a linear equation, polynomial, or another sort of equation, must be chosen. Since the behaviour of the function varies smoothly as x approaches any value, this ensures that the function is continuous throughout. In other words, a and b values must be selected in a way that the function is continuous, i.e., defined and devoid of breaks or discontinuities.

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The complete question is

Find the values of a and b that make f continuous everywhere that f is continuous throughout.

Help quickly again Imao || Which expression can be used to find the number of one-third cup servings in 4 cups?

four times one-third
one-third times four
4 ÷ one third
one third ÷ 4

Answers

The right answer is option A, which reads "four times one-third" multiplied by the number of one-third cup servings in four cups.

what is expression ?

You can multiply, reduce, add, or take this away in mathematics. An expression is put together as follows: Verb, numeric value, and math operator A mathematical formulation is composed of numbers, variables, and procedures (such as addition, subtraction, multiplication or division etc.) Opposing phrases and phrases is possible. An exponential function is any mathematical declaration that has variables, integers, or an mathematical operation. As an instance, the phrase 4m + 5 consists of both the terms 4m and 5, as well as the supplied equation's variable m, each of which is divided by the mathematical sign +.

given

the expression = "  number of one-third cup servings in 4 cups "

= four times one-third

= 4*1/3

The right answer is option A, which reads "four times one-third" multiplied by the number of one-third cup servings in four cups.

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I need answerrrrr plssssssss

Answers

Answer:441

Step-by-step explanation:

arithmetic of functions

Answers

For f(x) =4x+1 and g(x) = x²-5, the answer of (f/g) (x) is D) 4x+1/x²-5, x≠±√5

How to find the equation of (f/g)(x)

From the question, we have:

f(x) =4x+1

g(x) = x²-5

If what you are looking for is( f/g) (x), then only place the value of f(x) as the quantifier and g(x) as the denominator. Then the function that satisfies is D.

But here there is a condition that (f/g) (x) applies if the value of x is not √5 or -√5. Because if it becomes an x value then the result will be 0.

We can prove this:

With this equation (f/g) (x)=4x+1/x²-5

let's try to use value of x is √5, it will be

(f/g) (x)=4x+1/x²-5

(f/g) (√5) = 4.√5+1/(√5)²-5

=(4√5+1)/5-5

=(4√5+1) /0

=0

Then, try to use value of x is -√5, it will be

(f/g) (x)=4x+1/x²-5

(f/g) (√5) = 4.(-√5)+1/(-√5)²-5

=(-4√5+1)/5-5

=(-4√5+1) /0

=0

From the results above it proves that option D cannot be used if x= ±√5.

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A one-time investment of $1,000 is made into a financial asset that has an average annual return of 8.25%. What is the
future value in 5 years?
F = P(1 + r)
$1,082.5
$1,412.5
$1,486.41
$1,671.14

Answers

The future value of this one-time investment of $1,000 in 5 years is equal to: A. $1,082.5.

How to calculate the future value?

Mathematically, future value can be calculated by using this formula:

F = P(1 + r)

Where:

F represents the future value.P represents the principal.r represents the interest rate.

Substituting the given parameters into the future value formula, we have the following;

Future value, F = 1,000(1 + 8.25/100)

Future value, F = 1,000(1 + 0.0825)

Future value, F = 1,000(1.0825)

Future value, F = $1,082.5.

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F If RV = x + 6. US = 5x - 9, and RS = 11,

find VT and ST

Answers

The value of VT is 13 units and the value of ST is 23.56 units

Consider the following diagram of rectangle RSTU

We know that the diagonals of rectangle bisect each other, intersect at right angles.

For rectangle RSTU,

2RV = RT

But RT = US

So, 2RV = US

2(x + 6) = 5x - 9

2x + 12 = 5x - 9

12 + 9 = 5x - 2x

3x = 21

x = 7

So, RV = 7 + 6

RV = 13 units

But RV = VT

So, VT = 13

Now we find the value of ST using Pythagoras theorem.

RT² = ST² + RS²

ST = [tex]\sqrt{RT^2 - RS^2}[/tex]

ST = 23.56 units

Thus, VT = 13 and ST = 23.56

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Which is a stretch of an exponential growth function?

Answers

C is the correct answer

question horatio has $230 to be used only on his car. he wishes to save $160 of this money and spend $24.95 on an oil change. horatio knows that gas costs $3.81 per gallon. which answers show how many gallons of gas (g) he could buy? select all that apply.

Answers

Therefore, Horatio can buy approximately 11.83 gallons of gas. However, since he cannot buy a fractional part of a gallon, the actual number of gallons he can buy is either 11 or 12 gallons.

What is equation?

An equation is a mathematical statement that shows the equality between two expressions. Equations are used to solve problems and find solutions to mathematical or real-world problems. They typically involve variables, which are symbols that represent unknown values, and constants, which are known values that are used in the equation. Equations can take many forms, but they generally follow the pattern: expression = expression. Equations are an important tool in mathematics, science, and engineering, and they can be used to model and analyze many different types of systems and processes.

Here,

Horatio has $230, but he wishes to save $160 and spend $24.95 on an oil change. So the amount of money he has left to spend on gas is:

$230 - $160 - $24.95 = $45.05

To find out how many gallons of gas Horatio can buy with $45.05, we can divide the amount of money by the price per gallon:

$45.05 ÷ $3.81/gallon ≈ 11.83 gallons

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2 of the walls are 11 and 11, there's 3 more walls to find. Break thr room into rectangles and then do Base × height then add both rectangles together.

Answers

Based on the information, it can be inferred that the area of the room is 121m².

How to calculate the area of the room?

To calculate the area of the room we must perform the following mathematical procedure:

1. Identify the length of the sides and the base.

2. multiply the length of a side by the base.

3. get the result of the area.

According to the above procedure, the area of the room would be:

11m * 11m = 121m²

According to the above, the area of the room would be 121m². The dimensions of the furniture in the room have no influence in this procedure.

Note: This question is incomplete because there is some information missing. Here is the complete information:

question:

Calculate the area of the room.

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ABCD is a parallelogram in which / ADC = 105° and side AB is produced to point E as shown in the figure. Find the value of (x + y).

Answers

The value of (x + y) in parallelogram ABCD is equal to 150°.

How to determine the value of (x + y)?

Since ABCD is a parallelogram and ∠ADC is equal to 105°. Additionally, side AB in parallelogram ABCD is produced to point E. This ultimately implies that, angle C (∠C) and angle D (∠D) are adjacent angles of parallelogram ABCD:

∠C + ∠D = 180° (supplementary angles).

x + 105° = 180°

x = 180 - 105

x = 75°

Based on alternate interior angles theorem, ∠y is congruent to ∠x. Therefore, we have the following:

∠y ≅ ∠x

y = 75°

(x + y) = (75 + 75)

(x+ y) = 150°.

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Surface area 5in 5in 10in 4in 6 in

Answers

Answer:

30

Step-by-step explanation:

5 + 5 + 10 + 4 + 6 = 30

I need help with this question

Answers

The algebraic expression for this problem is given as follows:

2C - D = -2x² + 2x + 11.

How to obtain the algebraic expression?

The definition for C in this problem is given as follows:

C = x + 3.

We applying the distributive property to multiply by 2 as follows:

2C = 2(x + 3) = 2x + 6.

The definition for D in this problem is given as follows:

D = 2x² - 5.

The subtraction is then obtained as follows:

2C - D = 2x + 6 - (2x² - 5)

2C - D = 2x + 6 - 2x² + 5

2C - D = -2x² + 2x + 11.

Meaning that the second option is correct.

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Solve the equation below. Show all work.

12 + 7h = 5

Answers

Answer: H = -1

Step-by-step explanation:

12 + 7h = 5

7h = -7

H = -1

7h=-7
12+7h=5
7h +12=5

a spinner with 6 equal sections is shown. 1,. 2,. 3,. 4,. 5,. 6,. what is the probability of spinning a number greater than 4? a 1 over 6 b 2 over 3 c 1 over 2 d 1 over 3

Answers

The probability of spinning a number greater than 4 on a spinner with 6 equal sections is 1 over 3. (option d)

A spinner with 6 equal sections has an equal probability of landing on any of the 6 sections. To find the probability of spinning a number greater than 4, we need to find the fraction of sections that meet this criterion. In this case, there are 2 sections that satisfy this condition (5 and 6).

Therefore, the probability of spinning a number greater than 4 is 2/6, or 1/3.

It's important to remember that when working with probability, the values can only be between 0 and 1, with 0 indicating an impossible event and 1 indicating a certain event. The probability of any event must be a number between 0 and 1, inclusive.

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a right triangle has side lengths of 4 centimeters and 5 centimeters. what is the length of the hypotenuse?​a. 3cmb. 4cmc. 5cmd /41cm

Answers

The correct answer is option d. The length of the given hypotenuse  of a right triangle is 7 cm.

A right triangle has side lengths of 4 centimeters and 5 centimeters, so we can use the Pythagorean Theorem to find the length of the hypotenuse. The theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. In this case, the hypotenuse c is given by

[tex]c^2 = 4^2 + 5^2[/tex]

= 16 + 25

= 41

so the length of the hypotenuse is c = √41 = 7 cm.

The answer is d. 7 cm.

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how to solve using the quadratic formula

Answers

For a quadratic equation:

a*x^2 + b*x + c = 0

The quadratic formula is just:

[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac} }{2a}[/tex]

How to solve using the quadratic formula?

For a general quadratic equation:

a*x^2 + b*x + c = 0

The quadratic formula is:

[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac} }{2a}[/tex]

So for example, let's assume that we have the quadratic equation:

3x^2 + 7x - 12 = 0

Here we have the values:

a = 3

b = 7

c = -12

Now you could just replace them in the quadratic formula and you will get:

[tex]x = \frac{-7 \pm \sqrt{7^2 - 4*3*-12} }{2*3}[/tex]

And if you simplify that you will get the two solutions.

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1 kg of wheat costs $10 how much does 260g cost the document sent to vendors asking them to propose hardware and software that will meet the requirements of your new system is called a: In this quote, "image" in Robert Kennedy's Statement of MLK Jr.Explain the significance of this quote, orExplain the effect it had on the audience, orWhat did it make them feel? orWhat did it make them do? I know the answer but can someone please, please explain? Two blocks are on a frictionless surface and have the same mass m. Block 2 is initiallyat rest. Block 1 moves to the left with speed 4v. Block 1 collides elastically with block 2.What is the final speed of block 1?The answer is 0 and I cannot for the life of me figure out why. The attack on Pearl Harbor resulted in excessive loss of life how do you think soldiers faced this? In the very center of the Irenic Sea lie the beautiful Nisos Isles. In 1998 the number of people on these islands was only 200, but the population triples every 25 years. Queen Irene has decreed that there must be at least 1.5 square miles for every person living in the Isles. The total area of the Nisos Isles is 24,900 square miles. c In how many years, approximately, from 1998 will the population of Nisos be as large as Queen Irene has proclaimed that the islands can support? A random sample of 119 students were asked if they lived on campus or off campus. The followingcontingency table gives the two-way classification of the responses. which step is not a part of the five steps in the adult chain of survival? The following activities and body conditions affect blood pressure by changing one of the two listed factors.a. blood volume- blood donation; excessive sweatingb. total peripheral resistance- high-altitude living, growth, smoking, increased sympathetic activity intervention, one of the core professional activities of neuropsychologists, would include the responsibility of: why does brutus argue to spare antony's life? how much tension must a rope withstand if it is used to accelerate a 1110- kg car horizontally along a frictionless surface at 1.20 m/s2 ? What is the volume of the pyramid below? it is possible for a new mutation to become fixed (reach a frequency of 100%) in a population even if it confers no evolutionary advantage. group of answer choices true There were 84 runners to start a race in the first half of the race 1/3 of them dropped out in the second half of the race 2/7 of the remaining runners dropped out how many runners finish the race The statements in this excerpt are objective because they Whch statement best completes the timeline?Bantu culturespreadsthroughoutAfrica. The Kingdom ofAxum controlstrade in easternAfricaThe Kingdomof Kongorises topowerEuropeanpowerscolonizeAfrica?A. Stelae are carved in Ethiopia. B. Military dictators take control over Uganda. C. The slave trade grows in Central AfricaD. Ethiopia becomes a socialist country. Mr.White is renting a van for one week and a few additional days d he does not have to pay a per mile fee evaluate the expression 260+70d to find how much he will pay for a 10-day rental 3. A force of 10 N works on a ball over a distance of 5 m. The force isparallel to the displacement of the ball. What is the total work done by theforce?O -50 NO O 2N50 Nhelp!!! A sample of 25.2g of candy bar was burned in a calorimeter. The calorimeter was calibrated to have a heat capacity of 8.72 kcal/Celsius. Calculate the food caloric content of the candy bar in nutritional calories per gram to three significant figures