ALOT OF POINTS NEED HELP

The distance between the given points A and B as per the angle of elevation is equals to 49.66 feet.

Let us consider the distance from point A to the base of the building be x.

And the distance from point B to the base of the building be y.

Use trigonometry to set up two equations based on the angles of elevation,

From point A we have,

tan(40°) = opposite/adjacent

⇒ tan(40°) = 60/x

From point B we have,

tan(70°) = opposite/adjacent

⇒ tan(70°) = 60/y

Distance from point A to point B, which is the difference between x and y,

distance = x - y

Substitute the value of x and y we have,

x = 60/tan(40°)

y = 60/tan(70°)

Substituting these values into the expression for distance, we get,

distance = (60/tan(40°)) - (60/tan(70°))

              = (60 /0.8391 ) - (60 /2.7475)

              = 71.5 - 21.84

              = 49.66 feet

Therefore, the distance from point A to point B is approximately 49.66 feet.

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When 97.5 g of Hg reacts with oxygen, approximately 22.0 kJ of heat is released.

To calculate the heat released when 97.5 g of Hg reacts with oxygen, you'll first need to find the moles of Hg reacted. The molar mass of Hg is 200.59 g/mol.

moles of Hg = mass (g) / molar mass (g/mol)
moles of Hg = 97.5 g / 200.59 g/mol = 0.486 mol

The balanced equation for the reaction is:
2 Hg (l) + O2 (g) → 2 HgO (s)

From the balanced equation, 2 moles of Hg react with 1 mole of O2 to produce 2 moles of HgO. The given ΔH for this reaction is -90.8 kJ.

Now, we need to find the heat released per mole of Hg reacted:

ΔH (per mole of Hg) = ΔH (reaction) / moles of Hg (in balanced equation)
ΔH (per mole of Hg) = -90.8 kJ / 2 = -45.4 kJ/mol

Finally, calculate the heat released for 0.486 mol of Hg:

Heat released = ΔH (per mole of Hg) × moles of Hg
Heat released = -45.4 kJ/mol × 0.486 mol = -22.0 kJ

When 97.5 g of Hg reacts with oxygen, approximately 22.0 kJ of heat is released.

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Given, Height of the cliff = 20 m Distance of the car from the foot of the cliff = 10 m.

The time taken by the car to fall from the cliff can be found using the formula:

\(`h = (1/2) g t^2`\)

Where h is the height of the cliff, g is the acceleration due to gravity and t is the time taken by the car to fall from the cliff.

Substituting the given values,`20 = (1/2) × 9.8 × t^2`

Solving for t, `t = sqrt(20/4.9)` = 2.02 s

Let the initial velocity of the car be V0 and the time taken for the car to come to rest after applying brakes be t1.

Distance covered by the car before coming to rest can be found using the formula: `\(s = V0t1 + (1/2) (-5) t1^2\)`

Where s is the distance covered by the car before coming to rest.

Simplifying the above equation,\(`2.5 = V0 t1 - (5/2) t1^2`\)

Substituting the given values,`5 = V0 - 5 t1`

Solving the above two equations,\(`V0 = 32.5/2 t1`\)

Simplifying the above equation,`V0 = 16.25 t1`

Substituting the value o\(f t1,`V0 = 16.25 × 2` = 32.5 m/s\)

Therefore, the speed of the car before the start of braking is 32.5 m/s.

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Answer:

20

Step-by-step explanation:

The distance formula is:

\(d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }\)

where (x₁, y₁) and (x₂, y₂) are the points. We are given the points (-3,10) and (9,-6). Therefore,

\(x_{1}=-3 \\y_{1}= 10\\x_{2}=9 \\y_{2}=-6\)

Substitute the values into the formula.

\(d = \sqrt {\left( {-3 - 9} \right)^2 + \left( {10- -6} \right)^2 }\)

\(d = \sqrt {\left( {-3 - 9} \right)^2 + \left( {10+6} \right)^2 }\)

Solve inside the parentheses. Subtract 9 from 3. Add 10 and 6.

\(d = \sqrt {\left( {-12} \right)^2 + \left( {16} \right)^2 }\)

Evaluate the exponents.

⇒ -12²= -12*-12= 144

\(d = \sqrt {\left144 + \left( {16} \right)^2 }\)

⇒ 16²= 16*16=256

\(d = \sqrt {\left144 + \left256}\)

Add 144 and 256.

\(d=\sqrt{400}\)

Take the square root of 400.

\(d=20\)

The distance between the two points is 20.

Step-by-step explanation:

vector equals to 5 times 3 times 5 times 7 times 6 times 8 equals 260 ÷ 5454 equals 2 over 1,000 to 0.554

Answer:

im not 100% sure but i think its the last one

D

im not 100% sure though

Step-by-step explanation:

The first derivative of f(t) = 200t is f'(t) = 200.

a) To find the first derivative of f(t) = 200t, we can apply the power rule of differentiation. According to the power rule, if we have a function of the form f(t) = ct^n, where c and n are constants, the derivative is given by:

f'(t) = nct^(n-1)

In this case, we have f(t) = 200t, where c = 200 and n = 1. Applying the power rule, we get:

f'(t) = 1 * 200 * t^(1-1) = 200 * t^0 = 200

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Answer:

Step-by-step explanation:

Let the equation be:

Multiply both sides by 4 and complete the square:

Since -3 = 1(-3) = (-1)*3, we have following options:

1)

Eliminate k by adding up equations:

2)

Eliminate k by adding up equations:

Answer:

four

Step-by-step explanation:

Water will reach a depth of 12 meters after 3.1 hours approximately.

What is function?

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y.

Main body:

Function representing the level of water by 'y' and number of hours by 'x' is,

y = 2.5 cos (2πx/12.5)+12

For y = 12 meters, (Substitute the value of y)

12 = 2.5 cos (2πx/12.5)+12

12 -12 = 2.5 cos (2πx/12.5)

cos (2πx/12.5) = 0

2πx/12.5 = π/2

πx/12.5 = π/4

x = 3.125

x ≈3.1 hours

Therefore, water will reach a depth of 12 meters after 3.1 hours approximately.

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As per the given origin, the potential at x = 3.0m is 143.0V

The term origin in math is referred as the initial point or the starting point from where we begin our calculations or measurements.

Here we have given that the potential at the origin is -140 V.

And we need to find the potential at x = 3.0m.

While we looking into the given question, we have identified that the region of space has a non-uniform electric field that points in the +x-direction and has magnitude and as the reference point, it take the potential at the origin to be -140 V .

Then the electric potential at x=3.0m is calculated as,

=> V(3) - 140 = 3.0

=> V(3) = 143.0

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The information that is needed to write the equation of a line in point-slope form is the location of one ordered pair that lies on the line and the line's slope. The correct option is the first option

From the question, we are to determine the information that is needed to write the equation of a line in point-slope form.

The point-slope form of a line is given as

y - y₁ = m(x - x₁)

Where, (x₁, y₁) is a point on the line

and m is the slope of the line

Thus, in order to write the equation of a line in the point-slope form, the information that are needed are:

1. An ordered pair on the line

2. The slope of the line

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After 14 days, you will have approximately $2.4414 invested in the stock market.

The amount you will have invested after 14 days can be calculated using the geometric sequence formula. The formula for the nth term of a geometric sequence is given by:

an = a1 x \(r^{(n-1)\)

Where:

an is the nth term,

a1 is the first term,

r is the common ratio, and

n is the number of terms.

In this case, the initial investment is $20,000, and each day the investment loses half of its value, which means the common ratio (r) is 1/2. We want to find the value after 14 days, so n = 14.

Substituting the given values into the formula, we have:

a14 = 20000 x\((1/2)^{(14-1)\)

a14 = 20000 x \((1/2)^{13\)

a14 = 20000 x (1/8192)

a14 ≈ 2.4414

Therefore, after 14 days, you will have approximately $2.4414 invested in the stock market.

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The amount you will have invested after 14 days is given as follows:

$2.44.

A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number called the common ratio q.

The explicit formula of the sequence is given as follows:

\(a_n = a_1q^{n-1}\)

In which \(a_1\) is the first term of the sequence.

The parameters for this problem are given as follows:

\(a_1 = 20000, q = 0.5\)

Hence the amount after 14 days is given as follows:

\(a_{14} = 20000(0.5)^{13}\)

\(a_{14} = 2.44\)

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Answer:

X^2+ 2x+35

Step-by-step explanation:

Use pemdas. Multiply the parentheses. Multiply. Collect like terms. Remove the parentheses.

Answer:

4\(x^{2}\)+9x+23

Step-by-step explanation:

The pH of the resulting solution, obtained by diluting 10 ml of the acidic solution to a final volume of 1000 ml, is 6.

The dilution equation states that the concentration of a solute remains constant when the volume of the solution changes.

Since the dilution factor is

1000 ml / 10 ml = 100

The concentration of H+ ions in the resulting solution is 1/100 times the concentration in the original solution.

The pH scale is logarithmic, meaning that each whole pH unit represents a tenfold change in the concentration of H+ ions.

Since the pH of the original solution is 4, which represents a concentration of 10^(-4) mol/L, the concentration of H+ ions in the resulting solution is 1

0^(-4) mol/L / 100 = 10^(-6) mol/L.

To calculate the pH of the resulting solution, we take the negative logarithm base 10 of the concentration:

pH_result = -log10(10^(-6))

= -(-6) (logarithm property)

= 6

Therefore, the pH of the resulting solution, obtained by diluting 10 ml of the acidic solution to a final volume of 1000 ml, is 6.

The dilution process has decreased the concentration of H+ ions, resulting in a less acidic solution with a higher pH value.

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Answer:

27.183, 27.2

Step-by-step explanation:

First, do the formula for the triangle:

\(\frac{1}{2}\) x 4.1 x 2.6 = 5.33

Next, multiply that by the base side:

5.33 x 5.1 = 27.183

Answer:

1/2 x 4.1 x 2.6 = 5.33

5.33 x 5.1 = 27.183

Rounding off to nearest tenth = 27.2 m^3

Answer:

  x = 4

Step-by-step explanation:

The ratio of the side opposite the large filled dot to the hypotenuse is ...

  16/20 = x/5

  (4/5)(5) = x = 4 . . . . multiply by 5

The value of x is 4.

__

The angle marks tell us the triangles are similar.

Answer:

To find the number of smaller pieces that can be obtained, we need to divide the total length of the wood by the length of each smaller piece:

Number of pieces = Total length ÷ Length of each piece

Number of pieces = 7.2 m ÷ 0.12 m

Number of pieces = 60

Therefore, 60 smaller pieces can be obtained from the 7.2 m long piece of wood.

Answer:

60

Step-by-step explanation:

To determine how many smaller pieces can be obtained from a 7.2 m long piece of wood, we need to divide the total length of the wood by the length of each smaller piece.

Total length of wood = 7.2 m

Length of each smaller piece = 0.12 m

Number of smaller pieces = Total length of wood / Length of each smaller piece

Number of smaller pieces = 7.2 m / 0.12 m

Number of smaller pieces = 60

Therefore, 60 smaller pieces can be obtained from a 7.2 m long piece of wood, with each smaller piece being 0.12 m in length.

There are 22 event at an indoor track and field meet. The ratio of track event to field event is 8:3. Therefore, there are 16 track events.

Ratio:

In mathematics, ratios indicate the number of times one number contains another number. For example, if you have 8 oranges and 6 lemons in your fruit bowl, the ratio of oranges to lemons is 8 to 6 (that is, a ratio of 8:6, or 4:3). Similarly, the ratio of lemons to oranges is 6:8 (or 3:4) and the ratio of oranges to whole fruit is 8:14 (or 4:7).

Now,

If you want to know the number of events in track events, we can calculate it in two steps:

Divide 22 in the ratio 8:3.

First,

add the numbers = 8 + 3 =11

Second,

For 08, We Multiple and divide  = 8/11 × 22

                                                     = 16

Again,

For 03, We again multiple and Divide = 3/11 × 22

                                                              = 06.

Therefore, there are 16 track events.

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The height of the 10th bounce of the ball will be 0.6 feet.

A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value.

The nth term of the geometric sequence is given by

\(\sf T_n=ar^{n-1}\)

Where,

According to the given question.

During the first bounce, height of the ball from the ground, a = 4.5 feet

And, the each successive bounce is 73% of the previous bounce's height.

So,

During the second bounce, the height of ball from the ground

\(\sf = 73\% \ of \ 10\)

\(=\dfrac{73}{100}(10)\)

\(\sf = 0.73 \times 10\)

\(\sf = 7.3 \ feet\)

During the third bounce, the height of ball from the ground

\(\sf = 73\% \ of \ 7.3\)

\(=\dfrac{73}{100}(7.3)\)

\(\sf = 5.33 \ feet\)

Like this we will obtain a geometric sequence 7.3, 5.33, 3.11, 2.23,...

And the common ratio of the geometric sequence is 0.73

Therefore,

The sixth term of the geometric sequence is given by

\(\sf T_{10}=10(0.73)^{10-1\)

\(\sf T_{10}=10(0.73)^{9\)

\(\sf T_{10}=10(0.059)\)

\(\sf T_{10}=0.59\thickapprox0.6 \ feet\)

Hence, the height of the 10th bounce of the ball will be 0.6 feet.

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For Kelley to pay for half of a new phone, she must put in 22.5 hours at her job. Her daily workday lasts three hours. Let x stand for the days she worked and y for the number of hours she still needs to put in to pay for the phone. hours overall still required to labor after x days.

In algebra, the letter "x" is frequently used to denote a value that is still unknown. The term "variable" or "unknown" is used to describe it. Not only can a variable be "y," "w," or any other letter, name, or symbol, it can also be "x."

Time used minus the rate of work equals the amount of work completed. Time taken divided by the rate of work equals one. Time = 1 / Rate of Work. Work completed in a day equals 1/x if a task is completed over x days.The x-intercept and y-intercept are the points at which a line crosses the x- and y-axes, respectively.The location where a graph crosses the y-axis is known as the y-intercept. It is y's value at x=0, to put it another way.

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a) Given that an FM receiver has an input S/N of 4 and the modulating frequency is 2.8 kHz and the output S/N is 8. Therefore, the maximum allowable deviation can be calculated using the following formula:`(S/N)o / (S/N)i = (1 + D^2) / 3D^2` .

Where,(S/N)i = input signal-to-noise ratio = 4(S/N)o = output signal-to-noise ratio = 8D = maximum allowable deviation

Putting the given values in the formula, we get:`8/4 = (1 + D^2) / 3D^2`Simplifying this equation,

we get:

`D = 0.33`Therefore, the maximum allowable deviation is 0.33.b) Using the Bessel functions table as a guide, the modulation index β can be calculated using the following formula:`

β = fm / Δf`Where,Δf = frequency deviation

fm = modulating frequency

Using the given values in the formula, we get:

`β = 5 kHz / Δf`For narrowband FM, the maximum deviation is approximately given by the first zero of the Bessel function of the first kind, which is at J1(2.405).

Therefore, the maximum frequency deviation can be calculated as follows:`Δf

= fm / β

= fm / (fm / Δf)

= Δf * 5 kHz / 2.405`

Putting the given values in the above equation, we get:Δf = 1.035 kHz

Therefore, the maximum frequency deviation caused by a modulating signal of 5 kHz to a carrier of 280 MHz should be 1.035 kHz to achieve a narrowband FM.

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Answer:

y= -7x+7

Step-by-step explanation:

y= mx+b

y= slope x+ y intercept

The equation of the line having the slope -7 and y-intercept  is 7 is: y = -7x + 7

A straight line's equation is a relationship between its x and y coordinates, and it is written as y = mx + c, where m is the line's slope and c is its y-intercept.

We are given that the slope m is -7,

and the line crosses the y-axis at 7.

so the value of c = 7

Therefore, we can substitute these values into the slope-intercept form to get:

y = -7x + 7

So the equation of the line is y = -7x + 7.

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The probability of rolling a sum of 5 is 1/9 because there is only one combination of dice that can result in a sum of 5 (1+4 or 4+1).

There are 6 possible outcomes on a single die (1, 2, 3, 4, 5, or 6). When rolling two dice, there are 36 possible outcomes (6 x 6). To calculate the probability of rolling a sum of 5, we need to determine how many of the 36 possible outcomes will result in a sum of 5. The only combination of dice that will result in a sum of 5 is 1+4 or 4+1. Therefore, the probability of rolling a sum of 5 is 1/9, since there is only one combination of dice that will result in a sum of 5 out of the 36 possible outcomes.

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Answer:

d. 6

Step-by-step explanation:

Given, a-5> -1

Both sides add 5, and we get

a > 4

So a is 6.

Answer:

Hess

Hess - $3.25

Texaco - $3.345

Shell - $3.26

Answer: 3x square route of 3

Step-by-step explanation:

In the case when the sin B=0.5 in the triangle so the expression for AB is to be considered as the \(3x^3\).

Since it is mentioned that sin B=0.5

And, AC = 3x

So AB be like \(3x^3\)

hence, In the case when the sin B=0.5 in the triangle so the expression for AB is to be considered as the \(3x^3\).

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