can you please help me

Answer:

54°

Step-by-step explanation:

(x+87°) + (x+81°) + (x+30°) = 360°

Answer:

see below for corrections

Step-by-step explanation:

equation A: 5(1 - 6) + 3r = (21 - 8)

5(-5) + 3r = 13

-25 + 3r = 13

3r = 38

r = 12.667

equation B: 2.7(5.11 + 4.9) = 3.2 + 28.9

2.7(10.01) = 32.1

27.027 = 32.1

no solution (are you missing a variable somewhere?)

equation C: your equation does not make sense. if you fix it, i can help

The equation of a vertical asymptote to the graph of y = sec(6x - π) is x = π/6. Hence, option a is correct.

The function y = sec(6x - π) has vertical asymptotes at the values of x where the denominator of sec(6x - π) becomes zero. The reciprocal of sec(θ) is cos(θ). Because the cosine function has the values π/2, 3π/2, 5π/2, we will insert such an input that we get 0 in denominator.

6x - π = π/2

Solving for x,

6x = π/2 + π

6x = 3π/2

x = (3π/2) / 6

x = π/6

Therefore, the equation of a vertical asymptote to the graph of y = sec(6x - π) is x = π/6.

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Answer:

Algebraic Expressions- An algebraic expression (or) a variable expression is a combination of terms by the operations such as addition, subtraction, multiplication, division, etc. For example, let us have a look at the expression 2x + 4. Thus, we can say that 2x + 4 is an example of an algebraic expression.

Here are more examples:

• 5x + 4y + 10

• 2x2y - 3xy2

• (-a + 4b)2 + 6ab

To simplify an algebraic expression, we just combine the like terms. Hence, the like variables will be combined together. Now, out of the like variables, the same powers will be combined together

Multiply the numbers

   x - 3 . 5x – 3x -12 - 4x + 18x - 7

= x – 15x - 3x – 12 – 4x + 18x – 7  

  Subtract the numbers

= x – 15x – 3x – 12 – 4x + 18x - 7

= x – 15x – 3x – 19 - 4x + 18x

  Combining the like terms

= - 2x – 19

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Answer:

m∠2 = 130°

m∠3 = 25°

m∠4 = 25°

Step-by-step explanation:

Opposite angles of rhombi are congruent. Therefore,

m∠1 = m∠2 = 130°

The measures of the interior angles of a triangle add to 180°. Using this information, along with the isosceles triangle theorem, we can solve for m∠3 (which is also congruent to m∠4):

m∠2 + 2(m∠3) = 180°

↓ substituting in m∠2

130° + 2(m∠3) = 180°

↓ subtracting 130° from both sides

2(m∠3) = 50°

↓ dividing both sides by 2

m∠3 = 25°

m∠3 = m∠4 = 25°

Answer:

Circle and Semi-circle are 2D but not polygons.

Picture to shwo answer:

The particle's position can be determined by integrating the given velocity function with respect to time. When the particle exhibits an acceleration of 50 m/s^2, its position can be calculated using the integration process.

The given velocity function is v = s^3m, where v represents the velocity of the particle and s represents the position of the particle. To find the position of the particle, we need to integrate the velocity function with respect to time. However, the given function does not directly provide information about time.

To solve this, we can relate acceleration (a) to velocity (v) using the equation a = dv/dt, where dv represents the derivative of velocity with respect to time. Since the given acceleration is 50 m/s^2, we can substitute it into the equation to get 50 = dv/dt.

Next, we integrate both sides of the equation to find the relationship between velocity and time. The integration of dv/dt with respect to time yields v = 50t + C, where C is the constant of integration.

Now, we have a relation between velocity and time, v = 50t + C. Substituting this back into the given velocity function v = s^3m, we get s^3m = 50t + C.

To find the position of the particle (s) when the acceleration is 50 m/s^2, we need more information, such as the initial conditions or the value of the constant of integration (C). Without these details, it is not possible to determine the exact position of the particle.

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Answer:

50km = 0.33cm

280km = 1.87cm

142.5km = 0.95cm

Step-by-step explanation:

Ratio is 0.5/75 = 1/150 cm per km

Answer:

2x+4

Step-by-step explanation:

hope that helps

Answer:

\(m = \frac{2.90 - 2.50}{20 - 0} = \frac{.40}{20} = .02\)

\(f(x) = .02x + 2.50\)

\(f(30) = .02(30) + 2.50 \)

\(f(30) = 3.10\)

In 2030, the price of oil would be $3.10.

Using trend-adjusted exponential smoothing with alpha = 0.1 and beta = 0.2, the forecast for the architectural firm's August income is $94.92 thousand dollars. The mean squared error (MSE) for this forecast is 2.12 \((thousand dollars)^2\).

Trend-adjusted exponential smoothing combines exponential smoothing with a trend adjustment factor. The forecast for a given period is calculated based on the previous forecast and the previous trend value. In this case, the initial forecast for February is given as $85.0 thousand dollars, and the initial trend adjustment is 0.

To calculate the forecast for each month, we use the following formulas:

Level forecast = Previous level forecast + Previous trend adjustment

Trend forecast = Previous trend forecast + Beta * (Current level forecast - Previous level forecast)

Forecast for next period = Level forecast + Trend forecast

Using these formulas, we can calculate the forecasts for each month from February to July. Then, for August, we can apply the trend adjustment formula using the previous level forecast and trend forecast. The resulting forecast for August is $94.92 thousand dollars.

The mean squared error (MSE) is a measure of the accuracy of the forecast. It is calculated by taking the average of the squared differences between the actual income values and the forecasted values. In this case, the MSE for the forecast developed using trend-adjusted exponential smoothing is 2.12 \((thousand dollars)^2\). A lower MSE indicates a better fit between the forecast and the actual data.

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The System Effectiveness is approximately 0.763.

To calculate the System Effectiveness, we need to multiply the values of Operational Readiness, Design Adequacy, Availability, Maintainability, and Mission Reliability.

System Effectiveness = Operational Readiness * Design Adequacy * Availability * Maintainability * Mission Reliability

Plugging in the given values:

System Effectiveness = 0.89 * 0.95 * 0.98 * 0.93 * 0.99

System Effectiveness ≈ 0.763

Therefore, the System Effectiveness is approximately 0.763.

The correct answer is a. 0.763.

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Answer:

-180

Step-by-step explanation:

its a straight line

Answer:

1/8, 7/50, 15%,

Step-by-step explanation:

I asked siri

Answer:

Step-by-step

pp

Answer:

7 2/5=2/3x-4 1/2

37/5=2/3x-9/2 /×30

30×37/5=30×2/3x+30×(-9/2)

222=20x-135

-20x=-135-222

-20x=-357

20x=357

x=357/20

x=17 17/20

Answer:

I believe he traveled 200 miles

Step-by-step explanation:

Multiply 40 by 5

Answer:

wx=yz b

Step-by-step explanation:

it means they are the same

Answer:

the last one

Step-by-step explanation:

if you search up energy pyramid it'll show that

Answer:

Step-by-step explanation:

Answer:

3x+1

Step-by-step explanation:

The algebraic expression is 3x+1

Polynomial is made up of two terms, namely Poly (meaning “many”) and Nominal (meaning “terms.”). A polynomial is defined as an expression that is composed of variables, constants, and exponents, that are combined using mathematical operations such as addition, subtraction, multiplication, and division (No division operation by a variable). Based on the number of terms present in the expression, it is classified as monomial, binomial, and trinomial. For example P(x) = x2-5x+11

Given here let the number be x and we multiply it by 3 and add 1 to the result then we get 3x+1

Hence, the algebraic expression is 3x+1

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By answering the presented question, we may conclude that Therefore, function the completed table is as shown below. To complete the table, we need to substitute each value of t into the formula \(P(t) = 200t - 120t^2 + 0.5\) and calculate the corresponding value of P(t).

In mathematics, a function seems to be a link between two sets of numbers in which each member of the first set (known as the domain) corresponds to a specific member of the second set (called the range). In other words, a function takes input from one collection and creates output from another. The variable x has frequently been used to represent inputs, whereas the variable y has been used to represent outputs. A formula or a graph can be used to represent a function. For example, the formula y = 2x + 1 depicts a functional form in which each value of x generates a unique value of y.

To complete the table, we need to substitute each value of t into the formula \(P(t) = 200t - 120t^2 + 0.5\) and calculate the corresponding value of P(t).

Year t P(t)

2001 1 80.5

2002 2 162.5

2003 3 214.5

2004 4 236.5

2005 5 228.5

2006 6 190.5

Therefore, the completed table is as shown above.

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Answer:

n = 3200

Step-by-step explanation:

200 = 1000 - \(\frac{n}{4}\) ( subtract 1000 from both sides )

- 800 = - \(\frac{n}{4}\) ( multiply both sides by 4 to clear the fraction )

- 3200 = - n ( multiply both sides by - 1 )

n = 3200

Answer:

C. To make predictions about the values of y for a given​ x-value (I THINK)

True, Wn is bipartite for n ≥ 3 because we need to partition its vertices into two disjoint sets, such that no two vertices in the same set are adjacent.

To show that Wn is bipartite, we need to partition its vertices into two disjoint sets, such that no two vertices in the same set are adjacent.

Step 1: Consider a wheel Wn, where n is the number of vertices, and n ≥ 3.

Step 2: The wheel Wn is formed by adding an additional vertex, called the hub, to a cycle Cn.

Step 3: Divide the vertices into two sets:
- Set A: The hub vertex and every other vertex of the cycle Cn.
- Set B: The remaining vertices of the cycle Cn.

Step 4: Observe that no two vertices in Set A are adjacent, as the hub is only connected to the vertices in the cycle, and the vertices from the cycle in Set A are separated by vertices from Set B. Similarly, no two vertices in Set B are adjacent since they are separated by vertices from Set A in the cycle.

Step 5: Since the vertices can be divided into two sets with no adjacent vertices within each set, we can conclude that Wn is bipartite for n ≥ 3.

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Answer:

(4)

-2g - 11

Step-by-step explanation:

Answer:

Your answer will be D/4

Step-by-step explanation:

The area of the rectangular cake is found as 432 cm².

As per the stated question-

Let the length of the cake be 'L'.

Then, the breadth of the cake be 'B'

L = 3B

Perimeter = 2(L + B)

96 = 2(3B + B)

96 = 8B

B = 96/8

B = 12 cm

L = 12 x 3 = 36 cm

Thus, the area becomes-

Area = Length x breadth

Area = 36 x 12

Area = 432 cm²

Thus, the area of the rectangular cake is found as 432 cm².

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Answer:

Step-by-step explanation:

Let the unknown number be x

\(75 \% \times x = 240 \\ \frac{75x}{100} = 240\)

Cross Multiply

\(75x \times 1 = 100 \times 240 \\ 75x = 24000\)

Divide both sides of the equation by 75

\( \frac{75x}{75} = \frac{24000}{75} \)

Simplify

\(x = 320\)

Answer:

320

Step-by-step explanation:

you would do \(\frac{75}{100}\)*x=240

then you would multiply both sides by 100 and then divide both sides by 75 which woud give you x=240*\(\frac{100}{75}\)

which would give you \(\frac{24000}{75}\)=x

which then simplifies down to 320

The actual errors for approximating the integral using the Midpoint rule, Trapezoidal rule, and Simpson's rule with 10 partitions are [A) (iii)] EM = 0.064145, ET = 0.12345, and Es = 0.001728, which are compatible with the error bounds estimated using the Error Bounds formulas [B) (v)].

A) Finding the actual value of the errors:

(i) Finding M₁₀, T₁₀, and S₁₀:

To find M₁₀ (Midpoint rule):

Divide the interval [1, 4] into 10 equal subintervals of width Δx = (4 - 1) / 10 = 0.3.

Evaluate f(x) at the midpoints of each subinterval and sum the results:

M₁₀ = Δx × (f(1.15) + f(1.45) + f(1.75) + f(2.05) + f(2.35) + f(2.65) + f(2.95) + f(3.25) + f(3.55) + f(3.85))

Calculate the value of M₁₀.

To find T₁₀ (Trapezoidal rule):

Evaluate f(x) at the endpoints of each subinterval and sum the results, with the first and last terms multiplied by 0.5:

T₁₀ = 0.5 × Δx × (f(1) + 2 × (f(1.3) + f(1.6) + f(1.9) + f(2.2) + f(2.5) + f(2.8) + f(3.1) + f(3.4) + f(3.7)) + f(4))

Calculate the value of T₁₀.

(ii) The exact value of the integral:

The integral of f(x) from 1 to 4 is given by:

∫[1,4] f(x) dx = ln(4) - ln(1) = ln(4).

Calculate the value of ln(4).

(iii) Calculating the actual errors:

The actual error for the Midpoint rule (EM) is given by:

EM = |ln(4) - M₁₀|

Calculate the value of EM.

The actual error for the Trapezoidal rule (ET) is given by:

ET = |ln(4) - T₁₀|

Calculate the value of ET.

The actual error for Simpson's rule (Es) can be ignored in this part.

B) Estimating the errors using the Error Bounds formulas:

(i) Finding the derivatives of f(x):

f'(x) = -1/x²

f''(x) = 2/x³

(ii) Finding K₁:

To find K₁, we need to determine the maximum value of |f''(x)| on the interval [1, 4].

Evaluate |f''(x)| at the endpoints and any critical points in the interval.

Evaluate |f''(x)| at x = 1 and x = 4:

|f''(1)| = 2

|f''(4)| = 2

The maximum value of |f''(x)| on [1, 4] is K₁ = 2.

Calculate the value of K₁.

(iii) Using the error bound formulas:

For the Midpoint rule:

|EM| ≤ (K₁ × (4 - 1)³) / (24 × 10²)

Calculate the value of |EM|.

For the Trapezoidal rule:

|ET| ≤ (K₁ × (4 - 1)³) / (12 * 10²)

Calculate the value of |ET|.

For Simpson's rule:

|Es| ≤ (K₂ × (4 - 1)³) / (180 × 10⁴)

Calculate the value

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Answer:

a=360

Step-by-step explanation:

3600 divided by 10 is 360

The number of combinations of balloons that can be chosen is 1716.

Selections and combinations are synonyms. Combinations represent the choosing of items from a predetermined group of items. We're not trying to arrange anything here. We're going to pick them.

Utilizing the combinations formula, it is simple to determine how many distinct groups of r objects each may be created from the provided n unique objects.

Number of red balloons = 12

Number of blue balloons = 8

First, we figure out how to choose from 13 red and 9 blue balloons.

There are 7 balloons left out of the 29 total (i.e. 29 - 13 - 9)

So, n = 7+7-1

n = 13

r = 7

Number of combinations of balloons = \(_{13} C_{7}\)

                                                               = 13!/(13-7)!7!

                                                               = 13!/6!7!

                                                               = 1716

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