Angle 2 and 7 are what?

Answer:

128

Step-by-step explanation:

they are parralel

Answer:

the answer is 128 they are parallel

This isn’t something we can really answer for you hun.

If you need help understanding, here’s a course that might help:

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Answer:

X+y=7

Y-x=(-1)

X*Y=54

Y-X=(-5)

X+Y=23

Answer:

(2^)

Step-by-step explanation:

Answer:

Tilt your head back and allow your mouth to hang open widely.

Contract the back of the throat and breathe deeply through your mouth.

Inhale and exhale completely while relaxing the shoulders.

When the yawn comes “reach and extend into it” to stretch the jaw muscles.

Step-by-step explanation:

Answer:

10 weeks, Substituion Equation.

Step-by-step explanation:

(Assume that x= 'per week').

We can write this as 50 + 25x=y for Heather's savings, &

                               200 + 10x=y for Alssa's savings.

We can combine these equations to make 200 +10x= 50+25x, because we know 50+25x=y, like we found out in the first equation. We can now subtract 25x from each side, and subtarct 200 from each side, to get

10x - 25x = 50 - 200, which can be simplified to -15x=-150. If we divided each side by -15, we get 10. Therefore, it will take 10 weeks for them to have the same amount of money. I think this is the Substituaion Equation

Hydrogen fuel cell vehicles and petrol-powered vehicles each have their own advantages and disadvantages. Hydrogen fuel cell vehicles offer the benefits of zero emissions and environmental friendliness, as they only emit water vapor. They also have a longer driving range compared to battery-powered electric vehicles and can be refueled quickly. However, the infrastructure for hydrogen refueling is currently limited, and the production and distribution of hydrogen fuel can be costly and energy-intensive.

On the other hand, petrol-powered vehicles have a well-established infrastructure for refueling and generally offer a greater driving range. However, they contribute to air pollution and greenhouse gas emissions, and their reliance on fossil fuels raises concerns about sustainability and climate change.

Hydrogen fuel cell vehicles are considered a promising alternative to traditional petrol-powered vehicles due to their potential to significantly reduce greenhouse gas emissions and reliance on fossil fuels. These vehicles use hydrogen gas as fuel, which is converted into electricity through a chemical reaction in the fuel cell, producing only water vapor as a byproduct. This makes hydrogen fuel cell vehicles environmentally friendly and contributes to the reduction of air pollution and carbon emissions. Additionally, hydrogen fuel cells offer longer driving ranges and shorter refueling times compared to battery-powered electric vehicles. However, the widespread adoption of hydrogen fuel cell vehicles faces challenges related to the limited infrastructure for hydrogen refueling stations, high production costs, and the energy-intensive process of hydrogen production.

On the other hand, petrol-powered vehicles have been the dominant mode of transportation for many years. They benefit from a well-established infrastructure for refueling, allowing drivers to find petrol stations easily. Petrol-powered vehicles also offer a greater driving range compared to most electric vehicles, which is beneficial for long-distance travel. However, petrol engines contribute to air pollution and emit greenhouse gases, contributing to climate change and health concerns. The extraction, refining, and distribution of petroleum also have environmental impacts. As a result, there is a growing focus on transitioning to cleaner and more sustainable alternatives, such as hydrogen fuel cell vehicles and electric vehicles powered by renewable energy sources.

In summary, hydrogen fuel cell vehicles have the advantage of zero emissions and longer driving ranges, but face challenges related to infrastructure and production costs. Petrol-powered vehicles have a well-established infrastructure and greater driving range but contribute to air pollution and greenhouse gas emissions. Both options have their pros and cons, and the choice between them depends on factors such as environmental impact, infrastructure availability, and long-term sustainability goals.

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Using a linear function, it takes 4.4 minutes for the sub to reach the certified depth.

A linear function is modeled according to the following rule:

y = mx + b

In which:

For this problem, the velocity is constant, which is why a linear function is used.

The slope and intercept are given as follows:

Hence the depth after t minutes is given by:

D(t) = -872.42 + 50.6t.

The certified depth is reached when D(t) = -650, hence:

D(t) = -872.42 + 50.6t.

-650 = -872.42 + 50.6t.

t = (872.42 - 650)/50.6

t = 4.4 minutes.

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Answer:

5x + 16

Step-by-step explanation:

the first thing you do in this equation is to distribute the 2 into x + 6

you get

2x + 12 + 3x + 4 = ?

then you must put the 2x and the 3x together

5x + 12 + 4

and you can then add the 12 and 4

5x + 16

Answer:

i would say it is false not true

Answer:  false

Step-by-step explanation:

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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Answer:

C. Corresponding angles

Step-by-step explanation:

Visualize the two points of intersection and the four angles around each of them being separated. If you put the on top of each other, you can see that angle 4 corresponds with angle 8.

Answer: corresponding :)

Step-by-step explanation:

corresponding angles are angles that are in the same position relative to lines intersected by a transversal

basically theyre equal and on the same side of the transversal

hope this helps :)

The probability that the other side is burned is 1/3.

Let P(B) represent the probability that the other side is burned.

If a pancake that is burnt on one side is selected, the other side may or may not be burnt. There are two ways that this might happen: the pancake is burnt on the other side, or the pancake is not burnt on the other side. As a result, we may utilize the law of total probability.

P(B|burnt on one side) = P(burnt on one side|B) × P(B)/ P(burnt on one side).

Probability that one pancake is selected out of three pancakes = 1/3

Probability of choosing the burnt side pancake = 1

Probability of selecting an unburnt pancake = 1/2

P(burnt on one side) = 1/3 x 1/2 + 1/3 x 1/2 + 1/3 x 1 = 1/2

P(B|burnt on one side) = P(burnt on one side|B) × P(B)/ P(burnt on one side)

P(B|burnt on one side) = (1/2) (1/3) / (1/2) = 1/3

Therefore, the probability that the other side is burned when a pancake that is burnt on one side is chosen is 1/3.

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Answer:35

Step-by-step explanation:

The volume of a cylinder is calculated by multiplying the area of its base by its height. The formula for the volume of a cylinder is V = πr²h, where r is the radius of the base and h is the height.

The volume of a cone is calculated by multiplying the area of its base by its height and then dividing by 3. The formula for the volume of a cone is V = (1/3)πr²h, where r is the radius of the base and h is the height.

Since Sonequa’s two containers have equal radii and equal heights, it can be concluded that the volume of the cylinder is three times the volume of the cone. This means that if Sonequa fills the cone with water and pours it into the cylinder, she will need to repeat this process three times to fill the cylinder completely.

So, the claim that is most likely to be supported using the result of Sonequa’s investigation is: “The volume of a cylinder with the same radius and height as a cone is three times greater than the volume of the cone.”

Upon calculating the sum up to the appropriate term, we find that the sum is approximately 0.0713. So, the correct answer is a. 0.0713

It seems like there is a typo in the series notation. I assume the series you are referring to is ∑(2(-1)^n-1)/(12n^2 + 1) from n=1 to infinity. In this case, we can determine the sum using a well-known function and round the answer to four decimal places. Since the given series is an alternating series, we can use the Alternating Series Estimation Theorem to determine an approximation for the sum. The theorem states that if the absolute difference between consecutive terms is decreasing and the limit of the terms as n approaches infinity is zero, the approximation for the sum is accurate up to the first term that is less than or equal to the desired error bound (in this case, 0.0001). For this series, we can see that the absolute difference between consecutive terms decreases as n increases and the limit as n approaches infinity is zero. So, we can find the smallest value of n for which the term is less than or equal to 0.0001 and calculate the sum up to that term.

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39 subjects were tested in this simple one-way ANOVA.

The df for F distribution is (treatment df, error df)

Using given information

Treatment df = 7

Error df = 31

Total df= 7+31 = 38

Again, total df = N-1, N= number of subjects tested

Then, N-1 = 38

=> N= 39

One-way ANOVA is typically used when there is a single independent variable or factor and the goal is to see whether variation or different levels of that factor have a measurable effect on the dependent variable.

The t-test is a method of determining whether two populations are statistically different from each other, and ANOVA determines whether three or more populations are statistically different from each other.

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Option D is the correct answer, y = 3x + 7

The line is y=3x+7

Given that the point is (-3, -2) and slope=m=3.

Using the point slope formula we get:

\(y-\left(-2\right)=3\left(x-\left(-3\right)\right)\\y+2=3\left(x+3\right)\\y+2=3x+9\\y=3x+7\)

The line is y=3x+7

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Answer:

17^1 . ......................

Answer:

-6r + 5

Step-by-step explanation:

You combine like terms with -4r - 2r:

-4r - 2r + 5

-6r + 5

Your answer is: -6r + 5

Answer:

1/3

Step-by-step explanation:

its not 3 bc from a to b its getting smaller

The measures of the three angles in a triangle is 84°, 30° and 66° respectively.

α + β + γ = 180° . From this, you can calculate the angles: ax, bx, and cx, as well as the unknown x. We translate these ideas into a detailed procedure for using ratios to locate missing angles in triangles in the following section.

The ratios are:

∠A = 14, ∠B = 5, ∠C = 11

Total ratio = 14 + 5 + 11= 30

The total angle in a triangle = 180°

So,

∠A= 14 / 30 × 180°= 0.46× 180°= 84°

∠B= 5/30 × 180°= 0.16 × 180°=30°

∠C= 11/30 × 180°= 0.366× 180°= 66°

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Based on the given question the we can say that Always statement will be - The sum of all angles of a quadrilaterals is always equals to 360°.

The general statement for the n sided polygon is (n-2)*180.

For the above statement, we can say that the value of n should at least be greater than 2 (n>2).

A two-dimensional shape with four sides, four vertices, and four angles is referred to as a quadrilateral. Convex and concave are the two main forms. Convex quadrilaterals can also be divided into a number of subgroups, including trapezoids, parallelograms, rectangles, rhombus, and squares.

A quadrilateral, often known as a square, rectangle, or rhombus, is a polygon with four sides. You are currently staring at a computer screen that is most likely shaped like a quadrilateral. You'll study the quadrilateral in geometry classes.

The answer is clearly always.

Similarly we can create more problems and we should also know that sum of angles of general n sided polygon = (n-2)*180

if we put n = 4 in above equation we get 360 degree as answer.

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The domain of the function (f(x))/(g(x)) is all real numbers except x = 7. In interval notation, the domain can be expressed as (-∞, 7) U (7, +∞). This means that any real number except 7 can be used as an input for the function.

To find the domain of the function (f(x))/(g(x)), we need to consider the restrictions on the variable x that would make the expression undefined. In this case, division by zero is undefined, so we need to determine the values of x that would make the denominator, x - 7, equal to zero.

Setting the denominator equal to zero:

x - 7 = 0

Solving for x:

x = 7

We find that x = 7 would make the denominator zero, which would result in division by zero and an undefined expression.

Therefore, the domain of the function (f(x))/(g(x)) is all real numbers except x = 7. This means that any real number can be used as an input for the function, except for x = 7. In interval notation, the domain can be expressed as (-∞, 7) U (7, +∞), indicating that x can take any value less than 7 or greater than 7, but it cannot equal 7.

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\(\qquad\qquad\huge\underline{{\sf Answer}}♨\)

Let's solve ~

If it passes through x, then let's find x when y = 0

\(\qquad \tt \dashrightarrow \:0 = {x}^{2} - x - 6\)

\(\qquad \tt \dashrightarrow \: {x}^{2} - 3x + 2x - 6 = 0\)

\(\qquad \tt \dashrightarrow \:x(x - 3) + 2(x - 3) = 0\)

\(\qquad \tt \dashrightarrow \:(x - 3) (x + 2) = 0\)

So, required values of x are 3 and -2

Now, let's differentiate the equation to get slope slope for tangent ~

\(\qquad \tt \dashrightarrow \: m = \dfrac{d}{dx} ( {x}^{2} - x - 6)\)

\(\qquad \tt \dashrightarrow \: m = 2 x - 1\)

Now, plug in the values of x to find slopes of tangents

\(\qquad \tt \dashrightarrow \: m _1 = (2 \times 3) - 1\)

\(\qquad \tt \dashrightarrow \: m_1 = 6 - 1\)

\(\qquad \tt \dashrightarrow \: m _1 = 5\)

and

\(\qquad \tt \dashrightarrow \:m_2 = (2 \times - 2) - 1\)

\(\qquad \tt \dashrightarrow \:m_2 = - 4- 1\)

\(\qquad \tt \dashrightarrow \:m_2 = - 5\)

We know, tangent are normal are perpendicular. so let's find out slopes of normals m1' and m2'

\(\qquad \tt \dashrightarrow \:m _1\cdot m_1 ' = - 1\)

\(\qquad \tt \dashrightarrow \:m _1' = \dfrac{- 1}{m_1}\)

\(\qquad \tt \dashrightarrow \:m _1' = \dfrac{- 1}{ 5}\)

and

\(\qquad \tt \dashrightarrow \:m _2\cdot m_2 ' = - 1\)

\(\qquad \tt \dashrightarrow \:m _2' = \dfrac{- 1}{m_2}\)

\(\qquad \tt \dashrightarrow \:m _2' = \dfrac{- 1}{ -5}\)

\(\qquad \tt \dashrightarrow \:m _2' = \dfrac{1}{ 5}\)

Now, write the equations of normals using point slope form :

Normal 1 : passing through (3 , 0), and slope = -1/5

\(\qquad \tt \dashrightarrow \:y - 0 = - \dfrac{1}{5} (x - 3)\)

\(\qquad \tt \dashrightarrow \:5y = - (x - 3)\)

\(\qquad \tt \dashrightarrow \:5y = - x + 3\)

\(\qquad \tt \dashrightarrow \:x + 5y - 3 = 0\)

and

Normal 2 : passing through (-2 , 0), and slope = 1/5

\(\qquad \tt \dashrightarrow \:y - 0 = \dfrac{1}{5} (x - ( - 2))\)

\(\qquad \tt \dashrightarrow \:5y = x + 2\)

\(\qquad \tt \dashrightarrow \ x - 5y + 2 = 0\)

That's all for Aunty ~ hope it helps !

Answer:

3:5 and 12:20

Step-by-step explanation:

An inequality that represents the possible values for the number of hours babysitting and the number of hours walking dogs, where the maximum number of hours Zoey can work in a week is 12 hours is presented as follows;

An inequality expresses the relationship between two expressions that are nonequal using mathematical operators such as; <, >, ≠, ≤, and ≥.

The number of hours of babysitting = bb

The number of hours spent walking dogs = dd

The number of hours Zoey spends working in a week = 12

The inequality that represents the possible values for the number of hours babysitting and the number of hours walking dogs is therefore;

Therefore;

bb ≤ 12 - dd

The graph of the inequality will therefore be a solid straight line, that has a y-intercept of bb = 12, a slope of -1, and a x-intercept dd = 12

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The solution to the initial value problem using the method of separation of variables is y = (x³/3) - (1/2)x + 4/3.

To solve the initial value problem y' = x² - 1/2 with the initial condition y(2) = 3, we can use the method of separation of variables. Here are the steps:

Step 1: Separate the variables

Write the given differential equation in the form:

dy/dx = x² - 1/2

Step 2: Integrate both sides

Integrate both sides of the equation with respect to x:

∫dy = ∫(x² - 1/2) dx

Integration yields:

y = (x³/3) - (1/2)x + C

Step 3: Apply the initial condition

To find the constant C, substitute the initial condition y(2) = 3 into the equation obtained in Step 2:

3 = (2³/3) - (1/2)(2) + C

Simplifying the equation:

3 = 8/3 - 1 + C

3 = 8/3 - 3/3 + C

3 = 5/3 + C

Therefore, C = 3 - 5/3 = 9/3 - 5/3 = 4/3.

Step 4: Write the final solution

Substitute the value of C back into the equation obtained in Step 2:

y = (x³/3) - (1/2)x + 4/3

So, the solution to the initial value problem y' = x² - 1/2, y(2) = 3 is y = (x³/3) - (1/2)x + 4/3.

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Answer: 2x³-5x²-24x+63

Step-by-step explanation:

\((x-3)^2*(2x+7)=\\\\(x^2-6x+9)*(2x+7)=\\\\2x^3-12x^2+18x+7x^2-42x+63=\\\\2x^3-5x^2-24x+63\)

The value of the logarithm at x = 1 is 0.

To evaluate the logarithm of x = 1 for the function f(x) = log6(x), we substitute x = 1 into the function:

f(1) = log6(1)

Since the logarithm with a base of 6 evaluates to which exponent will result in the base 6, we need to find the exponent that gives 6^exponent = 1.

In this case, any non-zero number raised to the power of 0 is equal to 1. Therefore, the logarithm of 1 with a base of 6 is equal to 0.

f(1) = 0

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Answer: 2

(0, 2)

Step-by-step explanation: The y-intercept is on the x-axis so the x-value is 0