A 9 ft slide will be installed on a playground. The top of the slide will be 7 ft above the ground. What angle does the slide make with the ground? Enter your answer in the box. Round your final answer to the nearest degree.​

Answers

Answer 1

The angle that the slide makes with the ground is approximately 40.6 degrees when rounded to the nearest degree.

To find the angle that the slide makes with the ground, we can use basic trigonometric principles.

In this case, we have a right triangle formed by the slide, the ground, and a vertical line connecting the top of the slide to the ground.

The height of the slide is given as 7 ft, and the length of the slide is given as 9 ft.

We can use the trigonometric function tangent (tan) to calculate the angle.

The tangent of an angle is defined as the ratio of the opposite side to the adjacent side in a right triangle.

In this case, the opposite side is the height of the slide (7 ft), and the adjacent side is the length of the slide (9 ft).

Using the formula for tangent, we can calculate the angle:

tan(angle) = opposite/adjacent

tan(angle) = 7/9

To find the angle, we need to take the inverse tangent (arctan) of this ratio:

angle = arctan(7/9)

Using a calculator or a trigonometric table, we can find the angle to be approximately 40.6 degrees.

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Related Questions

Which is the graph of the function f(x) = Negative StartRoot x EndRoot?

Answers

Answer:

The answer is the third graph or c

Step-by-step explanation:

I just did the test and the other guy is correct to.

Answer:

If you are on edg 2021 then it is the graph with the line going down from 0 to the bottom left square of the graph

Step-by-step explanation:

So it is the first graph.

What is meant by non-Euclidean geometry?

Answers

Any system of geometry that is not based on the principles of Euclidean geometry is known as non-Euclidean geometry.

Many geometrical systems that are not based on the parallel postulate or other Euclidean axioms are referred to as non-Euclidean geometry.

The parallel postulate asserts that given a line and a point off the line, there is only one line that can be drawn through the point parallel to the provided line.

Attempts to establish or refute this postulate gave rise to non-Euclidean geometries. Contrarily, non-Euclidean geometries are founded on diverse axioms that allow for various kinds of parallel lines, including multiple parallel lines in hyperbolic geometry and no parallel lines in elliptic geometry.

Non-Euclidean geometry is important to many fields of mathematics and science, including relativity theory and cosmology.

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Thanks!


1) You know that for any , neither sin nor cos can be greater than 1. How can you explain this using the unit circle definitions of sine and cosine? How can you explain it using the right triangle definitions of sine and cosine?
As a follow-up question, consider why it is important to have both the right triangle definitions of sine and cosine and the unit circle definitions of sine and cosine.

2) Can you give examples of situations that might be modeled with trigonometric functions? That is, can you give examples of phenomena that take on a series of values over and over again?

Answers

The trigonometric function gives the ratio of different sides of a right-angle triangle. The value of sine and cosine will be always less than a unit.

How to explain the trigonometry?

In a unit circle, the radius of the circle represents the hypotenuse of the triangle. Since the hypotenuse is the largest side of the triangle, the ratio of the perpendicular to the hypotenuse and the base to the hypotenuse both will be less than the hypotenuse, therefore, 1. Hence, the value of sine and cosine will be always less than a unit.

In construction, we use trigonometry. For figuring areas of triangular shapes, similar to many concepts and phenomena in mathematics.

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Which is the domain of the piecewise function shownhere?A. -6 0There’s a graph with piecewise functions on it. But if someone would help me that would be great

Which is the domain of the piecewise function shownhere?A. -6 0Theres a graph with piecewise functions

Answers

It is important to know that the domain refers to the set of x-values of the given function.

The first interval shown is

\((-\infty,-6\rbrack\)

The second interval shown is

\((-6,-3)\)

The third interval shown is

\(\lbrack-3,4\rbrack\)

If you add all the intervals shown, we get the following domain

\((-\infty,4\rbrack\)

Which can be expressed as

\(x\leq4\)Hence, the answer is C.

Assuming that a soap bubble is a perfect sphere, what is the diameter of a bubble containing 1,000 cm3 of air?

Answers

On solving the question, A bubble with a volume of 1,000 cm3 of air has a 12.4 cm diameter.

What is a diameter?

Any linear segment that traverses a circle's center and has its ends on the circle is referred to as a circle's diameter in geometry. It is also known as the circle's longest chord.

A sphere is a three-dimensional object that resembles a ball in form.

A sphere's volume is determined by:

Volume is = \((\frac{4}{3} ) r^{3}\) where r is the sphere's radius.

The volume of the sphere is 1000 cm3, hence

=>  1000 = \((\frac{4}{3} ) r^{3}\)

 =>  238.73 = \(r^{3} ,,\)

=> r = 6.2 cm

Diameter: 2  X  r => 2  X  6.2 = 12.4 cm.

A bubble with a volume of 1,000 cm3 of air has a 12.4 cm diameter.

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with a reserve requirement of 5% and an initial deposit of $400, what is the maximum total amount of money that will be in the money supply? assume that all currency is deposited in a bank 7 banks hold no excess reserves (rr=.05)

Answers

The maximum money supply with a 5% reserve requirement and a $400 initial deposit is $8,000.

How to find  maximum money?

To calculate the maximum total amount of money that will be in the money supply, we need to consider the money multiplier effect based on the reserve requirement.

The money multiplier is given by the formula: MM = 1 / reserve requirement.

Given that the reserve requirement is 5% (rr = 0.05), the money multiplier is MM = 1 / 0.05 = 20.

The initial deposit is $400.

To calculate the maximum total amount of money in the money supply, we multiply the initial deposit by the money multiplier:

Maximum Money Supply = Initial Deposit * Money Multiplier

= $400 * 20

= $8,000.

Therefore, the maximum total amount of money that will be in the money supply is $8,000 when the reserve requirement is 5% and all currency is deposited in banks with no excess reserves.

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which is an example of weather?responsesthe temperature and wind speed in philadelphia todaythe temperature and wind speed in philadelphia todaythe increase in temperature over north america over the past decadethe increase in temperature over north america over the past decadethe average rainfall in arizona over the previous three monthsthe average rainfall in arizona over the previous three monthsthe time for high tide in daytona beach todaythe time for high tide in daytona beach today

Answers

the answer of the question is -The current temperature and wind speed in Philadelphia

what is weather?

Weather describes the condition of the atmosphere, including how hot or cold, wet or dry, quiet or stormy, clear or cloudy, and so forth. The troposphere, the section of the planet's atmosphere immediately below the stratosphere, is where the majority of weather events on Earth take place.

Contrarily, climate refers to the weather patterns that can be determined by using data collected in a certain area over an extended period of time to produce adequate averages.

There are several weather conditions, such as cloudy, sunny, wet, windy, and snowy. Air masses are among the most important variables that impact the weather.

answer of the question is -The current temperature and wind speed in Philadelphia

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Which of the following correctly graphs the system of equations?

{y=x−3
y=−2x+3

Which of the following correctly graphs the system of equations?{y=x3y=2x+3
Which of the following correctly graphs the system of equations?{y=x3y=2x+3
Which of the following correctly graphs the system of equations?{y=x3y=2x+3
Which of the following correctly graphs the system of equations?{y=x3y=2x+3

Answers

The third one

This graph is the only one that shows the correct slops with the correct y intercepts (-3 and 3)

Solve for r.
3r+ 4 = 5
what is r?

Answers

Answer:

r = 1/3

Step-by-step explanation:

3r + 4 = 5 Move the 4 to the other side of the equation.

3r = 5 - 4 Subtract

3r = 1

3r/3 = 1/3 Divide both sides by 3

r = 1/3

gamblers often throw dice gently for low numbers and hard for high numbers. this most directly illustrates

Answers

This behavior most directly illustrates the concept of superstition in gambling. Gamblers may believe that throwing the dice a certain way will influence the outcome and affect the results they desire.

This is a common belief among gamblers, despite there being no scientific evidence to support it. In reality, the way the dice are thrown has no impact on the outcome, as the result is determined purely by chance and the laws of physics.

Nevertheless, the belief in superstition is widespread in gambling and can influence behavior and decision making.

Gamblers often pitch the dice gently for low numbers and hard for high numbers. This most directly adorned an illusion of control Regression towards the mean refers to the tendency for unusual events to be followed by more ordinary events.

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Drag a number into each box to show how to find the quotient 432 = 24 using the model. Numbers may be used once, more than once, or not at all.
1
18
8
0
192
Tens +
24
432
- 240
192
- 192
432 + 24 =

Answers

Answer:

Step-by-step explanation:

Hxhxhx

The perimeter of a square is 4s, where s is the length of one side.
Find the perimeter of the square at the right. Show unit analysis.
7 ft​

The perimeter of a square is 4s, where s is the length of one side.Find the perimeter of the square at

Answers

Answer:

28ft.

Step-by-step explanation:

If \(s\) equals 7 and the perimeter equals 4 times \(s\), then the perimeter would be 4 times 7.

A hotel manager is adding a tile border around the hotel's rectangular pool. The length if 5 more than 3 times the width, as shown. The length of each tile is 1 foot. If the width of the pool is 24 feet, and each tile costs $1.04, what would be the total cost of the tile for the border

Answers

Answer: The two expressions that represent the perimeter of the rectangular pool include the following:

A. x + 3x + 1 + x + 3x + 1

E. 8x + 2

How to calculate the perimeter of a rectangle?

Mathematically, the perimeter of a rectangle can be calculated by using this equation;

P = 2(L + x)

Where:

P represents the perimeter of a rectangle.

L represents the length of a rectangle.

x represents the width of a rectangle.

Since the length is 1 more than 3 times the​ width, we have;

Length, L = 3x + 1

Therefore, the two expressions for the perimeter of this rectangle is given by:

P = 2(3x + 1 + x) = x + 3x + 1 + x + 3x + 1

P = 2(4x + 1) = 8x + 2

Next, we would determine the total cost as follows;

P = 8x + 2

P = 8(20) + 2

P = 162 feet.

Total cost = 1.86 × 162

Total cost = $301.32

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Complete Question:

A hotel manager is adding a tile border around the​ hotel's rectangular pool. Let x represent the width of the​ pool, in feet. The length is 1 more than 3 times the​ width, as shown. Find two expressions that represent the perimeter of the pool. Use the expressions to describe two ways to find the perimeter. The length of each tile is 1 foot. If the width of the pool is 20 ​feet, and each tile costs ​$1.86​, what would be the total cost of the tile for the​ border?

A. x + 3x + 1 + x + 3x + 1

B. x + 3x + 1

C. 2x + 3x + 1

D. 8x + 1

E. 8x + 2

F. 4x + 1

Step-by-step explanation:

The number of lightning strikes in a year at the top of a particular mountain has a Poisson distribution with a mean of 2.1. Find the probability that in a randomly selected year, the number of lightning strikes is 4

Answers

The probability that in a randomly selected year, the number of lightning strikes is 4, is 0.098.

What is Poisson distribution?

The Poisson distribution refers to a probability distribution expressing the probability of a specific number of events occurring in a fixed interval of time, if these events occur with a known constant mean rate and independent of the occurrence of the last event.

P(E) = Probability of occurrence of E in a fixed interval 'x', with constant mean = \(\frac{e^{-mean}. mean^{x}}{x!}\)

Step-by-step explanation:

Let A be the number of lightning strikes in a year at the top of particular mountain. Here, A follows Poisson distribution with mean = 2.1.

According to the question, x = 4, mean = 2.1

Thus, putting it in the formula for Poisson distribution, we get:

P(A) = \(\frac{e^{-2.1}(2.1)^{4} }{4!}\) = \(\frac{0.122(19.44)}{24}\) = 0.098

=> P(A) = 0.098

Hence, the probability that in a randomly selected year, the number of lightning strikes is 4, is 0.098.

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Fitness mania charges 20$ to join their gym and then 15$ per month.
1. Write an equation in slope intercept form.
2. How much will it cost to belong to Fitness Mania for one year?
3. If a different gym LVAC, charges 0$ to join and 20$ a month, which gym would be the cheaper choice for one year?

Answers

GivenJoining fee is the y-intercept, b = 20Monthly fee is the slope, m = 15

1. The equationy = mx + by = 15x + 20

2. Cost for one yeary = 12×15 + 20 = 180 + 20 = 200

3. Cost for one year at the LVAC12×20 = 240

Fitness mania is cheaper as $200 < $240

The cone has a height of 195 ft and a diameter of 307 ft. Find the volume of this building​

Answers

Answer:

4,813,431.07 ft³

\(V = \frac{1}{3} \pi r^2h\\\\V = \frac{1}{3} * 3.14 * \frac{307}{2^2} * 195\)

    \(= 4,813,431.07\)

the mean iq of the population of osu students is 100. a random sample of 5 students will be taken from the population, but the first student scored 150. what do expect the average to be for the 5 students?

Answers

Even though the first student scored 150, the expected average IQ score for the remaining four students is still 100.

Explain average

The average is a statistical measure that represents the central tendency of a set of values. It is calculated by adding up all the values and dividing them by the total number of values. The average provides a single value that represents the typical value in the set and is often used to compare different sets of data or to summarize large amounts of data.

According to the given information

Let X be the random variable representing the IQ score of an individual student. Then, the sample mean of the five students, denoted by Y, can be expressed as:

Y = (X1 + X2 + X3 + X4 + X5) / 5

Given that the first student scored 150, the expected value of the sample mean of the remaining four students, denoted by E(Y|X1=150), can be calculated as follows:

E(Y|X1=150) = E((X2 + X3 + X4 + X5) / 4 | X1 = 150)

Since X1 = 150 is an observed value, we can treat it as a constant and apply the linearity of expectation:

E((X2 + X3 + X4 + X5) / 4 | X1 = 150) = (E(X2 | X1 = 150) + E(X3 | X1 = 150) + E(X4 | X1 = 150) + E(X5 | X1 = 150)) / 4

Now, since the sample is random, the remaining four IQ scores are also independent and identically distributed as X, with the same mean of 100. Therefore, we have:

E(X2 | X1 = 150) = E(X3 | X1 = 150) = E(X4 | X1 = 150) = E(X5 | X1 = 150) = E(X)

Thus, we can simplify the expression as:

E(Y|X1=150) = (4E(X) / 4) = E(X) = 100

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A bag has 3 red marbles, 2 blue, 4 greens and 1 yellow. What is the probability of pulling a blue, putting it back
in the jar and then pull a green?
Show Your Work

A bag has 3 red marbles, 2 blue, 4 greens and 1 yellow. What is the probability of pulling a blue, putting

Answers

Answer: 2/25

Step-by-step explanation: Since we are replacing the marbles, these two events are independent which means that the outcome of the first does not affect the outcome of the second.

First find the probability of selecting a blue marble.

There are 2 favorable outcomes, the blue marbles,

and 10 possible outcomes, all the marbles in the bag.

So the probability of selecting a blue marble is 2/10 or 1/5.

Always reduce when finding probability

Now we find the probability of selecting a green marble.

There are 4 green marbles and 10 total so the probability of

selecting a green marble is 4/10 or 2/5.

Now we multiply the probabilities.

So we have 1/5 x 2/5 or 2/25.

right cylinder calc: find r, h=10, v=n/a

Answers

if the volume is known, you can calculate the radius using the formula and the given values and it is =1.7853

To find the radius (r) of a right cylinder with a given height (h) of 10 and an unknown volume (V), additional information is needed to solve the problem. Without knowing the value of the volume, it is not possible to determine the exact value of the radius. The volume of a right cylinder is calculated using the formula V = \(\pi r^{2h}\), where π is a constant value approximately equal to 3.14159.

However, if you have the value of the volume (V), you can rearrange the formula to solve for the radius (r). For example, if the volume is given as V = 100 cubic units, you can use the formula V = πr^2h and substitute the known values to find the radius. Rearranging the formula, we get r = √(V / (πh)), where √ denotes the square root.

By plugging in the values of V = 100 and h = 10 into the formula, we can calculate the radius as r = √(100 / (π × 10)). Simplifying further, r ≈ √(10 / π) ≈ √(10 / 3.14159) ≈ √(3.1831) ≈ 1.7853

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What is the solution to the proportion? Round the answer to the nearest tenth if necessary. StartFraction 52 over x EndFraction = StartFraction 9.5 over 3.25 EndFraction x = 14.6 x = 17.8 x = 157.8 x = 169.0

Answers

Answer: 17.8

Step-by-step explanation:

The solution to the proportion would be x = 17.8 which is the correct option (B).

What is Ratio?

A ratio is defined as a relationship between two quantities, it is expressed as one divided by the other

What are Arithmetic operations?

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operations is called the arithmetic operator.

/ Division operation: Divides left-hand operand by right-hand operand

For example 4/2 = 2

We have been the given proportion as:

⇒ 52 : x = 9.5 : 3.25

⇒ 52/x = 9.5/3.25

⇒ 52/x = 2.923

Cross multiplication, and we get

⇒ x = 52/2.923

Apply the division operation,

⇒ x = 17.8

Therefore, the solution to the proportion would be x = 17.8.

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1. A ride in a cab costs $0.60 plus $0.14 per mile.

a. Write an equation for traveling x miles in the cab.

b. The cab charges $0.88 for a ride of how many miles?

c. How much does the cab charge for a trip of 8 miles?​

Answers

The equation for traveling x miles in the cab can be written as:

Cost = $0.60 + $0.14 * x. The cab charges $0.88 for a ride of 2 miles. And the cab charges $1.72 for a trip of 8 miles.

a. The equation for traveling x miles in the cab can be written as:

Cost = $0.60 + $0.14 * x

b. To find the number of miles for a cab ride that costs $0.88, we can set up the equation:

$0.88 = $0.60 + $0.14 * x

Subtracting $0.60 from both sides, we get:

$0.88 - $0.60 = $0.14 * x

$0.28 = $0.14 * x

Dividing both sides by $0.14, we find:

x = $0.28 / $0.14

x = 2 miles

Therefore, the cab charges $0.88 for a ride of 2 miles.

c. To calculate the cost of a trip of 8 miles, we can substitute x = 8 into the equation:

Cost = $0.60 + $0.14 * 8

Cost = $0.60 + $1.12

Cost = $1.72

Therefore, the cab charges $1.72 for a trip of 8 miles.

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Tony wants to buy a jump rope that costs $6, a board game that costs $18, and a playground ball that costs $6. He has saved $6 from his allowance, and his uncle gave him $4. How much more money does Tony need to buy the jump rope, the game, and the ball?

Answers

Answer:

$20

Step-by-step explanation:

total money to be spent-$18+$6+$6=$30

Money he has=$6

Money his uncle gave him=$4

Total money he has=$10

Money he needed =$30-$10=$20

Answer:

Tony needs $20 more to buy everything.

Step-by-step explanation:

1. Add the prices of what Tony wants to buy together. ($6 +$18 + $6=?)

2. Add the amount of money Tony has now together. ($6 + $4=?)

3. Subtract the second amount ($6 + $4=?) from the first amount ($6 +$18 + $6=?) and that is your answer ($20)

Find the measure of the indicated side. Round to the nearest tenth.

Find the measure of the indicated side. Round to the nearest tenth.

Answers

Answer:

x=23.5

Step-by-step explanation:

\(cos59.3=\frac{12}{x}\\x(cos59.3)=12\\x=\frac{12}{cos59.3}\\x=23.5\)

What is the value of x in the equation 2|3(1|2x+12)=1|2(1|3x+14)-3

Answers

Answer:

x=-24

Step-by-step explanation:

Answer:

x=24

Step-by-step explanation:

If you need more help comment so I will help more

Hola, estoy empezando a ver trigonometria queria ver si me pueden ayudar con este problema: Un extraterrestre diminuto pero horrible está parado en la punta del edificio Empire State (que mide 443443443 metros de alto) y ¡amenaza con destruir la ciudad de Nueva York! Un agente de los Hombres de Negro está parado al nivel del piso, a 181818 metros del edificio, y apunta su pistola láser al extraterrestre. A qué ángulo, en grados, debe el agente disparar su pistola láser? Redondea tu respuesta final a la décima más cercana.

Answers

Answer:

El agente debe disparar a un ángulo aproximado de 87.7° con respecto a la horizontal.

Step-by-step explanation:

Sea E la localización del extraterrestre, O, el del hombre de negro, y B, el de la base del edificio. A partir de la información disponible, construimos el diagrama geométrico que indica la presencia de un triángulo rectángulo, el cual puede consultarse en la imagen adjunta.

Podemos determinar el ángulo de disparo mediante la siguiente relación trigonométrica inversa:

\(A = \tan^{-1} \frac{443\,m}{18\,m}\)

\(A \approx 87.7^{\circ}\)

El agente debe disparar a un ángulo aproximado de 87.7° con respecto a la horizontal.

Hola, estoy empezando a ver trigonometria queria ver si me pueden ayudar con este problema: Un extraterrestre

solve for x

i really need help

solve for x i really need help

Answers

Answer:

x =10

Step-by-step explanation:

angles are equivalent

170 = 2x + 6x + 90

170 - 90 = 8x +90 - 90

80 = 8x

10 = x

2) The midpoint M of line segment AB has coordinates (-3, 4). If A is the origin (0.0),
what are the coordinates of point B? (The use of the accompanying grid is optional)


Answers

Step-by-step explanation:

the coordinates of the midpoint between points A and B are

((xa + xb)/2, (ya + yb)/2)

in our case that is (-3, 4).

xa = 0

ya = 0

so we get

-3 = (0 + xb)/2

-6 = 0 + xb = xb

4 = (0 + yb)/2

8 = 0 + yb = yb

B = (-6, 8)

1/3 of your birthday cake is leftover from your party. If you eat 1/4 of the leftover cake, what fraction of the original birthday cake is left

Answers

Answer:

a twelth= 1/12

Step-by-step explanation:

NEED HELP ASAP PLEASEE!!!!!!!!!
QUESTION #1
The decimal number 6.05 can be read as "six and five-hundredths."


True

False


QUESTION #2

The decimal number 11.8 can be read as "eleven and eight tens."


True

False

Answers

The statement 6.05 can be read as "six and five-hundredths" is true and 11.8 can be read as "eleven and eight tens" is false

Place value

6.05

6 = ones

0 = tenths

5 = Hundredth

6.05 = six and five-hundredths

11.8

1 = Tens

1 = Ones

8 = tenths

11.8 = eleven and eight tenths

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Twelve rewritable CD's cost $20.00. How much should 30 costs at the same rate?


Please help!!!!

Answers

30 x 20 = 600
600 / 12 = 50
Answer: 30 CD’s costs 50
Other Questions
PLEASE help 1-4 pls and thank you The following reduction half reactions were used to create a cell: A2+(aq) + 2e A(s) E = 0.55 V B3+(aq) + 3e B(s) E = ? At one electrode, it was observed that solid B was formed a) Write the overall reaction that was taking place b) If the overall cell voltage was 0.95 V, calculate the standard reduction potential for the half reaction involving B? c) What will happen to the electrode in the beaker with the A2+ solution as the reaction progresses? d) How many moles of electrons were transferred per mole of this reaction? Write whether the opinion expressed was that of a hawk or a dove.Think about and explain the main idea of the quotation. What opinion about the Vietnam War was expressed in the quotation?Finally, what is your opinion of this position? Write whether you agree or disagree with the quotation and explain why Where is the Global Seed Vault, aka Doomsday Seed Vault located? A cell with two pairs of each set of chromosomes is called a diploid cell. These cells are typically found throughout the body tissues and are called [ germ / somatic ] cells. In the keynesian zone of the aggregate supply curve, how is keynes law, where demand creates its own supply, illustrated? x -2x +4x -8: (x+4) Salamander and Snake difference between What is the estimate of the sum of 304, 613, 840, and 434 using front end estimation? A. 2,000 B. 2,100 C. 2,200 D. 2,300 ................help How did Interchangeable Parts improve technology? Please and Thank you!!! :) The author suggests each of the following points to explain how men tend to dominate in mixed-gender conversations, EXCEPT: Find the value of the logarithm.logg1 2) Find the amount (future value) of the ordinary annuity. (Round your answer to the nearest cent.) $850/month for 18 years at 6%/year compounded monthly $?? 4 is 25% of what number? 2. Analyze What impression of Danforth is created by the actor in this recording? How does the actor use elements of speech to convey the traits of his character? Explain whether you view Danforth differently after hearing the recording. if EF= 3x-8, FG=2x+2, and EG=16, find the value of x 5 ways in which computer has influence typography and lettering What state allowed women to vote until (1807) prior to the Seneca falls convention?