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Solve for y

1. -2y + 7 = -5


Solve for x



2. -3(x + 5 = -9




3. X+(/2.5= -7.79

Solve for n


4. 3.33 + 2n = -7

To the nearest foot, the tree is 60 feet tall.

Angle of elevation refers to the angle formed between the horizontal line and an object or point when the observer is looking upward. This angle is measured from the horizontal plane up to the observer's line of sight. The angle of elevation is commonly used in navigation, surveying, and astronomy to determine the position of objects in the sky, such as stars and planets, and to calculate the height or distance of objects on the ground, such as buildings, trees, or mountains. It is also used in sports, such as archery and basketball, to aim accurately at a target.

Let's represent the height of the tree as 'h'.

From the given information, we can form a right triangle with the tree, its shadow, and the sun. The angle of elevation of the sun is the angle between the sun's rays and the horizontal ground. Therefore, the angle between the tree and its shadow (the angle of depression) is 90 - 63 = 27 degrees.

Using trigonometry, we can set up the following equation:

tan(63) = h / 27

Solving for 'h', we get:

h = 27 * tan(63) ≈ 60 feet

Therefore, to the nearest foot, the tree is 60 feet tall.

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Answer: 27

Step-by-step explanation: in order to find out the LCM, you have to list out the multiples of 9 ( 9: 9, 18, 27, 36, etc.) and 27 ( 27: 27, 54, etc). Then you find the least common multiple which in this case is 27.

\( \huge \boxed{\mathfrak{Question} \downarrow}\)

Draw a line from each polygon to its name.

Hexagon

octagon

quadrilateral

pentagon

\( \huge \boxed{\mathfrak{Answer} \downarrow}\)

Refer to the picture for better understanding.

The probability is 0.1.

acc to our question-

Hence,The probability is 0.1.

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Answer:

x=2

Step-by-step explanation:

x=14cm/7cm

x=2cm

waakan jawaabta kafaa ideesi wcan

Answer:

g(x) = (-1/25)x + (203/25)

Step-by-step explanation:

The general equation for a line is slope-intercept form is:

y = mx + b

In this form, "m" represents the slope and "b" represents the y-intercept.

We know that perpendicular lines have opposite-signed, reciprocal slopes of the original line. Therefore, if the slope of f(x) is m = 25, the slope of g(x) must be m = (-1/25).

To find the y-intercept, we can use the newfound slope and the values from the given point to isolate "b".

g(x) = mx + b                                    <----- General equation

g(x) = (-1/25)x + b                             <----- Plug (-1/25) in "m"

8 = (-1/25)(3) + b                               <----- Plug in "x" and "y" from point

8 = (-3/25) + b                                  <----- Multiply (1/25) and 3

200/25 = (-3/25) + b                       <----- Covert 8 to a fraction

203/25 = b                                      <----- Add (3/25) to both sides

Now that we know both the values of the slope and y-intercept, we can construct the equation of g(x).

g(x) = (-1/25)x + (203/25)

The given equation for C_v in Einstein model is:

C_v = 3R(T/θ_E)^2(e^θ_E/T - 1)^2/e^θ_E/Tk_be

T = 1.38 x 10^-23 J/K (Boltzmann's constant)

h = 6.626 x 10^-34 J s (Planck's constant)

ν = 1 x 10^13 Hz (constant frequency)

R = k_b/hν,

which gives R = 2.08 x 10^-4 JK^-1mol^-1

At a constant frequency of 1 x 10^13 Hz, we can write

R = k_b/hν = 2.08 x 10^-4 JK^-1mol^-1

Using this value of R, we can plot the graph of C_v against temperature (T) from 1 K to 320 K.

Here's the explanation of the given formula of C_v:

In Einstein's model, the heat capacity of a solid is given by:

C_v = nR[(θ_E/T)^2 * e^(θ_E/T)] / [(e^(θ_E/T) - 1)^2]

where,

n = number of atoms in the solid

R = gas constantθ_

E = Einstein temperature

T = absolute temperature

Since we have R in terms of k_b and ν, we can substitute it in the above equation to get:

C_v = 3k_bN[(θ_E/T)^2 * e^(θ_E/T)] / [(e^(θ_E/T) - 1)^2]

where, N = Avogadro's number

So, we can rewrite the equation as:

C_v = 3R(T/θ_E)^2(e^θ_E/T - 1)^2/e^θ_E/T

At a constant frequency of 1 x 10^13 Hz,

we can write

R = k_b/hν = 2.08 x 10^-4 JK^-1mol^-1.

Substituting this value in the equation of C_v, we get:

C_v = 3(2.08 x 10^-4)(T/θ_E)^2(e^θ_E/T - 1)^2/e^θ_E/T

Now, we can plot the graph of C_v against T from 1 K to 320 K.

The graph will be as follows:

Graph of C_v against T from 1 K to 320 K at a constant frequency of 1 x 10^13 Hz.

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Answer:

A) 18%

Step-by-step explanation:

Find percent change by subtracting to find the change, then put that over the original amount and times by 100.

79 - 65 is 14

change/original is

14/79

= .177

Then times 100 to make the decimal into a percent.

0.177×100 is 17.7%

which rounds to 18%.

Answer:

Step-by-step explanation:

y=10

The equation of the tangent line to the curve x²/³ + y²/³ = 20 at the point (64, 8) is y = -0.25x + 24.

To find the equation of the tangent line, we need to determine its slope at the given point. First, we differentiate the equation of the curve implicitly. Taking the derivative with respect to x, we have (2/3)(x^(-1/3)) + (2/3)(y^(-1/3))(dy/dx) = 0.

To find dy/dx, we substitute the coordinates of the given point (64, 8) into the derivative expression. Plugging in x = 64 and y = 8, we get (2/3)(64^(-1/3)) + (2/3)(8^(-1/3))(dy/dx) = 0. Simplifying this equation gives dy/dx = -0.25.

With the slope of the tangent line, we can use the point-slope form of a linear equation to find its equation. Substituting the slope (-0.25) and the coordinates of the given point (64, 8) into the equation y - y₁ = m(x - x₁), we get y - 8 = -0.25(x - 64). Simplifying this equation yields the equation of the tangent line: y = -0.25x + 24.

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Answer: D is a function.

Step-by-step explanation:

A function need to have exactly one output to each input.

Answer: D. (2, 3), (4, 3), (-2, -3), (-4,-3)

Step-by-step explanation: This represents a function because they're the opposing of each other. Hope this helps happy holidays! :)

Answer:

x = 3/2

The axis of symmetry is located at the vertex,

which is the also the highest point in this problem...

the x component of the vertex can be calculated as -b/2a = -48/-32 = 24/16 = 6/4 = 3/2

x = 3/2

Step-by-step explanation:

The trout's velocity relative to the water is 1.59 m/s.

To determine the trout's velocity relative to the water, we can analyze its motion in both downstream and upstream scenarios.

Given:

Distance traveled downstream = 21.3 m

Time taken downstream = 13.4 s

Time taken upstream = 29.8 s

When the trout swims downstream, it benefits from the stream's current, which adds to its own velocity. The trout's velocity relative to the water (v_trout) can be calculated by dividing the distance traveled downstream by the time taken downstream:

v_trout = Distance traveled downstream / Time taken downstream

v_trout = 21.3 m / 13.4 s

v_trout ≈ 1.59 m/s

Therefore, the trout's velocity relative to the water is approximately 1.59 m/s.

When the trout swims downstream, the water's velocity relative to the ground is added to the trout's velocity relative to the water. This results in a faster speed for the trout compared to when it swims upstream against the current.

In the downstream scenario, the distance traveled (21.3 m) divided by the time taken (13.4 s) gives us the average velocity of the trout relative to the water during that period. This average velocity takes into account the combined effect of the trout's own swimming speed and the stream's current, resulting in a value of approximately 1.59 m/s.

By swimming upstream, the trout is now swimming against the current. This causes a decrease in its overall speed. The time taken to cover the same distance (21.3 m) upstream is longer (29.8 s) compared to downstream. This indicates that the trout's velocity relative to the water is slower when swimming against the current.

In summary, the trout's velocity relative to the water is 1.59 m/s when swimming in the stream. This velocity represents the trout's own swimming speed, accounting for the stream's current, and is determined by dividing the distance traveled by the time taken in the downstream scenario.

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Answer:

week one

Step-by-step explanation:

3*5=15 2*5=10

week 1=10

5*3=15

3*3=9

Week 2=9

Week one had more boys

The length of the line segment AB is 11/2 mm.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points.

Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know a line segment parallel to one side of a triangle divides the other two sides in the same ratio.

Therefore, AC/AB = EC/ED.

22/AB = 44/11.

2/AB = 4/11.

4AB = 22.

AB = 11/2.

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Answer:

How does one find use partial quotients for subration

Step-by-step explanation:

Answer:

I think it will be 2,700000

Answer: 12

Step-by-step explanation:

Given: A florist has 60 tulips and 72 daffodils.

He wants to make bouquets with the same number of tulips and the same number of daffodils in each using all the flowers.

Then, the greatest number of bouquets the florist can make =  GCD (60,72)

where GCD = Greatest Common Divisor

Prime factorization of 60 and 72 :

60 = 2 x 2 x 3 x 5

72 = 2 x 2 x 2 x 3 x 3

GCD(60,72) = 2 x 2 x 3 = 12

Hence, the greatest number of bouquets the florist can make = 12

Answer: Figure 1, Figure 2, Figure 3

Step-by-step explanation:

Blue figure Volume:

\((2 *5^{3} ) + (15*5*5) = 625feet^{3}\)

Pink figure volume:

\((5^{3})+(5*5*17.5) + (12.5*2.5*5) = 718.75 feet^{3}\)

Green figure volume:

\((4*12.5*11) + (2*9*11) = 748 feet^{3}\)

We need to solve the following equation for x:

To isolate x, we divide both sides

Answer:

To the lump sum needed to be invested to receive $10,000 in 10 years at 6.6% interest compounded daily, we can use the present value formula:

PV = FV / (1 + r/n)^(n*t)

where PV is the present value or the initial investment, FV is the future value or the amount we want to end up with, r is the annual interest rate in decimal form, n is the number of times the interest is compounded per year, and t is the time in years.

Plugging in the numbers, we get:

PV = 10000 / (1 + 0.066/365)^(365*10)

= 4874.49

Therefore, the lump sum needed to be invested is about $4,874.49.

Answer:  The length of AC is 6.

Might as well make it right lol ;)

To obtain the surface area of a triangular prism, the formula to employ is:

From the image, a=18in, b=21in, c =15in and h=12in

We have to obtain the value of 's' first, from the equation:

The final step is to obtain the area of the triangular, having gotten the values needed to be inputted in the formula;

Hence, the surface area of the triangular prism is 912.54 square inches

False. Program Evaluation Review Technique (PERT)/Critical Path Method (CPM) and Gantt charts are not mutually exclusive techniques. In fact, they are often used together in project management to plan, schedule, and manage complex projects.

PERT/CPM is a network-based project management technique that focuses on identifying and sequencing activities, estimating their durations, and determining the critical path—the sequence of activities that determine the project's overall duration. PERT/CPM helps in analyzing the project timeline, identifying dependencies between tasks, and determining the most efficient way to complete the project.

On the other hand, Gantt charts are visual representations of project schedules that use horizontal bars to represent tasks, their durations, and their interdependencies. Gantt charts provide a graphical overview of the project timeline, allowing project managers and team members to see task durations, milestones, and dependencies at a glance. They also facilitate tracking progress and identifying potential scheduling conflicts.

While PERT/CPM focuses on the critical path and task dependencies, Gantt charts provide a broader view of the project schedule and its progress. Both techniques offer valuable insights and are often used in conjunction to effectively plan and manage projects.

Therefore, PERT/CPM and Gantt charts are complementary tools rather than mutually exclusive techniques in project management.

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Answer :59.9

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

45-5(5 years older)= 40

40÷2 =20

Shaniya has 20

and Kiana 25

Answer:

Kiana=5 years.

shaniya=?

Sum=45

Step-by-step explanation:

5+40=45

•°• shaniya is 45 years old

1. The probability of selecting exactly one tank with high-viscosity material is 0.

2. The probability of selecting at least one tank with high-viscosity material is 1.

3. The probability of selecting exactly one tank with high-viscosity material and exactly one tank with high impurities is 0.25.

1. The probability of selecting exactly one tank with high-viscosity material is calculated by the binomial distribution formula, P(X = n) = (nCx)p^x(1-p)^n-x, where n is the number of trials, x is the number of successes, and p is the probability of success. In this case, n = 4, x = 1, and p = 24/24 = 1. Therefore, P(X = 1) = (4C1)1^1(1-1)^4-1 = 0.

2. The probability of selecting at least one tank with high-viscosity material is calculated by the complement rule, P(X > 0) = 1 - P(X = 0). In this case, P(X > 0) = 1 - (4C0)1^0(1-1)^4-0 = 1.

3. The probability of selecting exactly one tank with high-viscosity material and exactly one tank with high impurities is calculated by the binomial distribution formula, P(X = n) = (nCx)p^x(1-p)^n-x, where n is the number of trials, x is the number of successes, and p is the probability of success. In this case, n = 8, x = 2, and p = 24/24 = 1. Therefore, P(X = 2) = (8C2)1^2(1-1)^8-2 = 0.25.

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Answer:

1/2

Step-by-step explanation:

area of larger square: 12 x 12 = 144

area of smaller square: 6√2 x 6√2 = 72

S/B = 72/144 = 1/2

Answer: To find the RMS (Root Mean Square) of a function, you need to perform the following steps:

Square the function: For a function f(x), compute f(x)^2 for each x.

Compute the mean of the squared function: Find the average value of f(x)^2 over the range of x values. You can do this by integrating f(x)^2 over the range and then dividing by the range, or by computing the sum of f(x)^2 values and dividing by the number of values.

Take the square root of the mean: The RMS is the square root of the mean value of f(x)^2, calculated in step 2.

In mathematical notation, the RMS of a function f(x) over the range [a,b] is given by:

RMS = sqrt((1/(b-a)) * integral from a to b of (f(x))^2 dx)

or

RMS = sqrt((1/N) * sum from i=1 to N of (f(x_i))^2)

where N is the number of data points, x_i are the x values at each data point, and f(x_i) are the corresponding function values.

The RMS is a measure of the "effective" or "average" value of the function over the given range, and is often used in signal processing and electrical engineering to represent the magnitude of a varying signal.

Step-by-step explanation: