The graph of a line y = 2x -1 is shown below. Find the Slope and y-intercept of the function.​

The height of the hill is approximately 25.73 ft. Where v0 is the initial velocity (108 ft/s), g is the acceleration due to gravity \((-32.2 ft/s^2)\),

To find the height of the hill, we can use the formula for the vertical position of an object under constant acceleration:

h = h0 + v0t + 1/2at^2

where h is the final height, h0 is the initial height, v0 is the initial velocity, t is the time, and a is the acceleration due to gravity (-32.2 ft/s^2).

In this case, we are given that the initial height h0 is 3 ft, the initial velocity v0 is 108 ft/s, and the time t is 9.5 s. We want to find the height of the hill, which we can denote as h_hill. The final height is the height of the plain, which we can denote as h_plain and assume is zero.

At the highest point of its trajectory, the arrow will have zero vertical velocity, since it will have stopped rising and just started to fall. So we can set the velocity to zero and solve for the time it takes for that to occur. Using the formula for velocity under constant acceleration:

v = v0 + at

we can solve for t when v = 0, h0 = 3 ft, v0 = 108 ft/s, and a = -32.2 ft/s^2:

0 = 108 - 32.2t

t = 108/32.2 ≈ 3.35 s

Thus, it takes the arrow approximately 3.35 s to reach the top of its trajectory.

Using the formula for the height of an object at a given time, we can find the height of the hill by subtracting the height of the arrow at the top of its trajectory from the initial height:

h_hill = h0 + v0t + 1/2at^2 - h_top

where h_top is the height of the arrow at the top of its trajectory. We can find h_top using the formula for the height of an object at the maximum height of its trajectory:

h_top = h0 + v0^2/2a

Plugging in the given values, we get:

h_top = 3 + (108^2)/(2*(-32.2)) ≈ 196.78 ft

Plugging this into the first equation, we get:

h_hill = 3 + 108(3.35) + 1/2(-32.2)(3.35)^2 - 196.78

h_hill ≈ 25.73 ft

If the arrow is launched at t0, the equation describing velocity as a function of time would be:

v(t) = v0 - gt

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a) The contents of register x31 after the following instruction is executed? addi x31, x5, 32 is 277968880 decimal.

b) The contents of register x28 after the following instruction is executed is 278427652 decimal.

c)The contents of register x29 after the following instruction is executed is 1056 decimal

d) The contents of register x29 after the following instruction is executed is 278427652 decimal

In computer architecture, registers are special storage locations within the CPU that hold data temporarily. These registers can hold values in binary, decimal, or hexadecimal formats. In this scenario, we have two registers x5 and x6, holding hexadecimal values. We will use these values to answer the given questions about register manipulation.

a) To determine the contents of register x31 after the instruction "addi x31, x5, 32", we need to add 32 to the value in x5 and store the result in x31. The value in x5 is 01a74cd0hex, which is equivalent to 277968848 in decimal. Adding 32 to this value, we get 277968880 decimal. Therefore, the contents of register x31 after the instruction is executed would be 277968880 decimal.

b) To determine the contents of register x28 after the instruction "add x28, x5, x6", we need to add the values in x5 and x6 and store the result in x28. The value in x5 is 01a74cd0hex, which is equivalent to 277968848 decimal. The value in x6 is 00467b44hex, which is equivalent to 458804 decimal. Adding these two values, we get 278427652 decimal. Therefore, the contents of register x28 after the instruction is executed would be 278427652 decimal.

c) To determine the contents of register x29 after the instruction "ld x29, 1056decimal (x30)", we need to load the value at memory location 1056decimal + the value in register x30 into register x29. The value in register x30 is not given in this scenario, so we cannot determine the contents of register x29.

d) To determine the contents of register x29 after the instruction "sd x28, 16 decimal (x29)", we need to store the value in register x28 at memory location 16 decimal + the value in register x29. The contents of register x28 is 278427652 decimal

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The diameter of the washing machine which is equivalent to the wavelength using the graph above would be = 2.5in.

To calculate the diameter of the washing machine drum, the formula that should be used is given below as follows;

V = fλ

where

V = displacement/time

F = 1/T

But;

Displacement = 10 in

Time = 2 seconds

V = 10/2 = 5 in/s

F = 1/2 = 0.5

λ = 5/0.5 = 2.5in

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Answer:

4

Step-by-step explanation:

I like to use the FOIL method! I've attached a quick picture of how it works below, but basically you multiply the first terms. Next, multiply the outside/outer terms. Then, multiply the inside/inner terms. Lastly, you multiply the last terms.

In this question, the binomial is (x + 2)².

You can expand this to be (x + 2)(x + 2).

When you expand it using the FOIL method, you get x times x, which is x².

Next, the outside/outer terms are x and 2, which is 2x.

Then, you multiply the inside/inner terms 2 and x, which is 2x.

Last, you multiply the last terms, which are 2 and 2, which is 4.

When you put them together, it looks like this:

x² + 2x + 2x + 4.

You can simplify this to x² + 4x + 4.

So your answer is 4.

Answer:

The answer to this joke is a clockmaker.

Step-by-step explanation:

The math is just finding volume. You are asking for just the answer correct?

Answer:

C

Step-by-step explanation:

We are given the two functions:

\(\displaystyle f(x) \text{ and } g(x)=\sin^{-1}(f(x))\)

And we want to find the ratio that represents:

\(\displaystyle \frac{f^\prime(x)}{g^\prime(x)}\)

To do so, we will compute the derivatives of both functions.

For f,  we can simply write that:

\(f^\prime(x)=f^\prime(x)\)

For g, we will use the chain rule:

\(\displaystyle (u(v(x))^\prime=u^\prime(v(x))\cdot v'(x)\)

We can let:

\(u(x)=\sin^{-1}(x)\text{ and } v(x)=f(x)\)

We can double check this by doing the composition:

\(g(x)=u(v(x))=\sin^{-1}(f(x))\)

Therefore, by the chain rule, we acquire that:

\(\displaystyle g^\prime(x)=\frac{1}{\sqrt{1-(v(x))^2}}\cdot v'(x)\)

By substitution:

\(\displaystyle g^\prime(x)=\frac{f^\prime(x)}{\sqrt{1-(f(x))^2}}\)

Hence, our ratio is:

\(\displaystyle \frac{f^\prime(x)}{g^\prime(x)}=\frac{f^\prime(x)}{\dfrac{f^\prime(x)}{\sqrt{1-(f(x))^2}}}\)

Simplify:

\(\displaystyle \frac{f^\prime(x)}{g^\prime(x)}=\sqrt{1-(f(x))^2}\)

Hence, our answer is C

Answer:

This isn't the answer as you can see it above, but do you have the rest of the questions?

Step-by-step explanation:

Thank you in advance.

Answer:

5

Step-by-step explanation:

|x+3| when x = 2 is |2+3| = |5| = 5

Answer:

5

Step-by-step explanation:

Substitute 2 in for x

|2+3| = 5

This would take the absolute value of the answer, or in other words once you solve the equation it will remove any negatives to return a positive number.

Answer: 1601000000

Step-by-step explanation:

Find the exact value using trigonometric identities.

Scientific Notation:

1.601

⋅

10

9

1.601

⋅

10

9

Expanded Form:

1601000000

The required base of a solid is the region enclosed by an ellipse is 32 units.

An ellipse  has a flightiness short of what one, and it addresses the locus of focuses, the amount of whose good ways from the two foci of the circle is a steady worth. A basic illustration of the circle in our day to day routine is the state of an egg in a two-layered structure and the running following in a games arena.

the base of a solid is the region enclosed by an ellipse with a major axis of 6 along the y-axis and a minor axis of 4.

So, a= 6, b = 4

Base can be written as,

Base = \(\frac{1}{2}\int\limits^3_{-3}( {{\sqrt{4-\frac{4y^{2} }{9}}+\sqrt{4-\frac{4y^{2} }{9} } } )^2 } \, dx\) = 32 units

Thus, required base is 32 units.

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Answer:

8307 dhdhdhsjs

Step-by-step explanation:

vahahahwhahehe

Answer: 8,307$

Step-by-step explanation:

279$ x 15 = 4185$

229$ x 18 = 4122$

4185$ + 4122$ = 8,307$

Answer:

x = 10.6

Step-by-step explanation:

Use trig functions

In this case you would use sin

so it would be sin(62) = x/12

multiply 12 on both sides to isolate the x and ur left with approximately 10.6

The conjecture about the backpack sales in June is that less than 8,000 backpacks were sold

From the graph, the number of backpack sales in June is not represented on the graph

The last month represented on the graph is May

On the vertical axis of the graph, the number of backpack sales that corresponds to the month of May is between 8,000 and 8,5000

By looking at the trend,

This means that the number of backpack sales in the month of June is less than the number of backpack sales in the month of May

Hence, the conjecture about the backpack sales in June is that less than 8,000 backpacks were sold

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The conjecture about backpack sales is that June sales will be less than 8,000 units.

A conjecture is a mathematical statement without proof. Instead, conjectures survive on some existing patterns.

The existing patterns show that backpack sales peaked in November but deteriorated or decreased steadily every month.

For instance, in November, the backpack sales were 11,000 units but 10,250 in January. It reduced to 8,750 in March.

However, following the end of the Easter holidays, backpack sales may increase from May. But this prediction does not agree with the trend.

Thus, the conjecture about backpack sales is that June sales will be less than 8,000 units.

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The equation of the circle with radius 9 and center ( -1,-8 ) is( x + 1 )² + ( y + 8  )² = 81.

The standard form equation of a circle with center (h, k) and radius r is:

( x - h )² + ( y - k )² = r²

Given that the circle has a center of (-1, -8) and the radius is 9.

Hence; from the standard form of the equation of the circle:

Center ( h , k ) = ( -1, -8 )

h = -1

k = -8

And radius r = 9

Plug these values into the above formula and simplify.

( x - h )² + ( y - k )² = r²

( x - ( -1 ) )² + ( y - ( -8 ) )² = 9²

Simplify

( x + 1 )² + ( y + 8  )² = 81

Therefore, the equation of the circle is ( x + 1 )² + ( y + 8  )² = 81.

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Answer:

To translate triangle ABC 3 units up, we need to add 3 to the y-coordinate of each vertex:

A' = (-3, 3 + 3) = (-3, 6)

B' = (0, 7 + 3) = (0, 10)

C' = (-3, 0 + 3) = (-3, 3)

Therefore, the coordinates of the vertices for the image triangle A'B'C' are A'(-3, 6), B'(0, 10), and C'(-3, 3).

So the correct answer is: A′(−3, 6), B′(0, 10), C′(−3, 3).

Answer:

10.7

Step-by-step explanation:

Since this is a right triangle, we can use trig functions to calculate the hypotenuse.

We know the opposite side from the angle labeled 59 degrees.

sin 59 = opp side / hypotenuse

sin 59 = 9.2/x

x = 9.2/ sin 59

x = 10.733

(a) The value of the z-score for the 6.4 fluid ounce orange is -1.64

(b) The value of the z-score for the 3.11 fluid ounce orange is -4.63

From the question, we have the following parameters that can be used in our computation:

Mean = 8.2

Standard deviation = 1.1

The values of the z-scores is calculated as

z = (z - Mean)/Standard deviation

So, we have

z = (z - 8.2)/1.1

When the score is 6.4, we have

z = (6.4 - 8.2)/1.1

Evaluate

z = -1.64

Recall that

z = (z - Mean)/Standard deviation

So when the score is 3.11, we have

z = (3.11 - 8.2)/1.1

Evaluate the expression

z = -4.63

Hence, the values of the z-scores are -1.64 and -4.63

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1) y=Mx+b

2) substitute the values: 0= -8x2 + b

3)multiply: 0= -16 +b

4) add 16 to both sides : 16= b

5) b is your y int. Plug in the values y=2x + 16

Answer : y= 2x+ 16

Answer:

highschool is the worst, middle school was everything <3

By answering the presented question, we may conclude that As a result, the slope of \(y_3\) = -4(x - 5) is -4.

The slope of a line indicates how steep it is. The term "gradient overflow" refers to a mathematical equation for the gradient (the change in y divided by the change in x).

The slope is defined as the ratio of the vertical change (rise) between two places to the horizontal change (run). The slope-intercept form of an equation is used to express a straight line's equation, which is written as y = mx + b.

The y-intercept is found where the slope of the line is m, b is b, and (0, b). For example, the slope and y-intercept of the equation y = 3x - 7 (0, 7). The slope of the line is m. b is b at the y-intercept, and (0, b).

The above equation is in point-slope form: y - \(y_1\)= m(x - \(x_1\)), where (\(x_1\), \(y_1\)) is a point on the line and m is the slope.

We can see by comparing the provided equation to the point-slope form that \(x_{1} ,y_1\)) = (5, 3) and m = -4.

As a result, the slope of \(y_3\) = -4(x - 5) is -4.

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The triangle with all sides is are given below

What is a triangle?

Triangles are three-sided closed polygon formed by the intersection of three lines. It is encountered a lot in everyday life. It is one of the basic shapes of geometry. It has three sides, three angles, and three vertices.

Given, angle A =30, b=6

we know cos 30 = √3/2

√3/2 = b/c

√3/2=6/c

c =6/√3/2= 6.9

Similarly for a=13, b =13

using pythagoras theorem,

c^2=a^2+b^2

=18.38

Hence, we can write the rest part

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A perfect square refers to a number that is the result of multiplying an integer by itself. In this case, 6^1 is equal to 6.

However, 6 is not a perfect square because it cannot be obtained by multiplying an integer by itself. The perfect squares up to 6^1 would be 1^2 = 1 and 2^2 = 4.

Answer:

TACTGACGGCAT

Step-by-step explanation:

that if u don’t need to change T for U like in a RNA. But base pairs are A-T and G-C. So you just need the opposite

Answer:

0.047

Step-by-step explanation:

The computation of the probability is shown below:

P(dying) = 1 ÷ 150

So,

P(living) = 149 ÷ 150

As There are 120 women.

Now

P(x>=3) = 1 - [P(x=0) + P(x=1) + P(x=2)]

= 1 -[(120 = 0)((1 ÷ 150)^0)((149 ÷ 150)^120) + (120 = 1)((1 ÷ 150)^1)((149 ÷ 150)^119) + (120 = 2)((1 ÷ 150)^2)((149 ÷150)^118)]

P(x>=3)

=0.047

She earned 0.91 pounds for every $1 US dollar when a visitor traded $1,000 US dollars for 910 British pounds.

A proportion is an equation that sets two ratios equal to each other. For example, if there is one guy and three girls, the ratio may be written as 1: 3. (for every one boy there are 3 girls) One-quarter are males and three-quarters are girls. 0.25 are males (by dividing 1 by 4). According to the notion of proportion, two ratios are in proportion when they are equivalent. It is a formula or statement that shows that two ratios or fractions are equivalent.

Here,

For 910 pounds, she spent $1000 US dollars.

For $1,

=910/1000 pound

=0.91 pounds

For each $1 US dollar, she received 0.91 pounds as tourist exchanged $1,000 US dollars for 910 British pounds.

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Car 12 of Train B is also 12 cars away from Car 19 on Train B.

Since each train boasts 31 cars, we can ascertain the total amount of vehicles between Car 19 and Car 12 on Train A:

31 - 19 = 12

Thus, Car 12 on Train A is a dozen units distant from Car 19 on Train A.

Nevertheless, Train B is furthermore moving in an inverring direction and has its exclusive set of automobiles between Car 19 and Car 12. We comprehend that the matching figure of cars must be amongst Car 19 and Car 12 on Train B as with Train A.

In essence, Car 12 of Train B is also 12 cars away from Car 19 on Train B.

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Answer:

=2x-4

Step-by-step explanation:

Answer:

The fully simplified form is2x-4

Step-by-step explanation:

Use Distributive property

5(x-2)=5x-10

3(2-x)=6-3x

5x-10+6-3x

Combine like terms

2x-4