Find the equation of the line in slope-intercept form that passes through the following point with the given slope.Simplify your answer.Point (-2, 11); Slope-3

The period of oscillation is 3 seconds

A Oscillation is the periodic change of a measure around a central value or between two or more states, usually in time.

The time taken for an oscillating particle to complete one cycle of oscillation is known as the Period of oscillating particle. It is measured in seconds

Oscillation can also be vibration or revolution or cycle.

Therefore, using the graph to determine the period. Then the wave particle made a complete oscillation at 3 second.

This means that the period of the particle is 3 seconds.

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The largest number of all three consecutive integers as required to be determined from the task content is; 2.

It follows from the task content that the number which is largest among the integers is to be determined.

Let the smallest number be x so that the other two consecutive integers are; x + 1 and x + 2.

Hence, it follows from the task statement that;

½x + x + 2 = x + 1 + 1

3/2x + 2 = x + 2

½x = 0

x = 0.

Hence, the largest integer as required to be determined is; x + 2 = 0 + 2 = 2.

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Answer:

r = 3

Step-by-step explanation:

distribute 3 through the parentheses

1/2r - 3= 12 - 9/2r

multiply both sides of the equation by 2

r - 6 = 24 - 9r

move the variable to the left-hand side and change its sign

r - 6 + 9r = 24

move the constant to the right-hand side and change its sign

r + 9r = 24 + 6

collect like terms

10r = 24 + 6

add the numbers

10r = 30

divide both sides of the equation by 10

r = 3

and you’re done

The tangent of the smaller acute angle in a right triangle is tanФ = 0.42.

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

Given, A right triangle with side lengths 5, 12, and 13.

tanФ = 5/12.

tanФ = 0.42.

Ф = tan⁻¹(0.42).

Ф = 22.8°.

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Answer: 9

Step-by-step explanation:

Tₙ ₊ ₁  < 0.001

1 / ( (n+1) 3 +1 ) < 0.001

(n+1)3 + 1 > 1000

(n+1)3 > 999

n+1 > 9.9966

n = 8.9966 => n = 9

I should take n = 9 to be sure that the error is less than 0.001.

Answer:

where's the x in the equation?

Answer:

25/12 Therefore, this equation is true: 25/12 = 25/12 If the numerator is greater than or equal to the denominator of a fraction, then it is called an improper fraction. In that case, you could convert it into a whole number or mixed number fraction. 25/12 = 2 1/12. Simplify Fractions.

Using linear approximation, the expression √125.2 can be approximated as approximately 10.02.

To find the equation of the tangent line to the function f(x) = √x at x = 125, determine the slope (m) and the y-intercept (b) of the tangent line.

First, find the slope (m) using the derivative of the function f(x) = √x:

f'(x) = 1 / (2√x)

Evaluate the derivative at x = 125:

f'(125) = 1 / (2√125) = 1 / (2 × 5) = 1/10

Now, find the y-coordinate of the point on the function f(x) at x = 125:

f(125) = √125 = 5

So, the tangent line at x = 125 passes through the point (125, 5) and has a slope of 1/10.

Using the point-slope form of a linear equation, the equation of the tangent line can be written as:

y - 5 = (1/10)(x - 125)

To simplify, multiply through by 10:

10y - 50 = x - 125

Rearranging the equation, express it in the form y = mx + b:

y = (1/10)x - 75/10 + 5

Simplifying further:

y = (1/10)x - 75/10 + 50/10

Combining the terms:

y = (1/10)x - 25/10

Therefore, the equation of the tangent line to f(x) = √x at x = 125 is y = (1/10)x - 25/10.

Now, use this tangent line to approximate the value of √125.2:

Substitute x = 125.2 into the equation:

y = (1/10)(125.2) - 25/10

y = 12.52 - 2.5

y ≈ 10.02

So, using linear approximation, approximate √125.2 as approximately 10.02.

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Answer:

9.6%

Step-by-step explanation:

Answer:

120 Girls

Step-by-step explanation:

First, you have to combine the dark shade girls and the light shade girls together to get 7.

Then, you should divide 210 by 7, to get 30

Finally, using 30 as your multiplier,

you go and multiply 30 x 4 to get 120 girls :D

The monthly Payment for the loan is approximately $271.24.

To calculate the monthly payment for the loan, we can use the formula for calculating the monthly payment on an intermediate-term loan. The formula is:

Monthly Payment = (Loan Amount * Monthly Interest Rate) / (1 - (1 + Monthly Interest Rate)^(-Number of Months))

Given:

Loan Amount = $50,000

Interest Rate = 6.5% per year

Number of Years = 5

First, we need to convert the annual interest rate to a monthly interest rate. Since there are 12 months in a year, the monthly interest rate is:

Monthly Interest Rate = (6.5% / 100) / 12 = 0.00541667

Plugging in the values into the formula, we get:

Monthly Payment = ($50,000 * 0.00541667) / (1 - (1 + 0.00541667)^(-5 * 12))

              = $271.24

Therefore, the monthly payment for the loan is approximately $271.24.

The owners of the restaurant want to use the loan to renovate the kitchen and expand the dining room, which they expect will generate additional monthly revenue between $2,000 and $5,000.

If we assume a conservative estimate of $2,000 per month in additional revenue, the loan payment of $271.24 represents approximately 13.56% of the additional revenue. This means that the owners would still have a significant portion of the additional revenue available for other expenses or profit.

On the other hand, if we consider the higher estimate of $5,000 per month in additional revenue, the loan payment would represent only about 5.42% of the additional revenue, leaving a substantial amount of money for other purposes.

Considering these calculations, it appears that taking this loan is a smart business decision. The monthly payment is manageable and leaves a significant portion of the additional revenue for the restaurant's operation and potential profit. However, it is essential for the owners to ensure that the projected additional revenue is realistic and sustainable to cover the loan payment and other business expenses.

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Answer: c

Step-by-step explanation:

are going to mark me brainly

Answer:

2 yards ; 6 feet ; 72 inches ;

Step-by-step explanation:

2:6:72

1:3:12

1:3 is the ratio of Yards -> Feet

3:12 is the ratio of Feet -> Inch.

6ft = Pete

2 yards = Reggie

72 inches = Jackson

-- Gage Millar, Algebra 1/2 Tutor (Pending Pre-Calc Tutor)

Answer: Y = -x/2 + 12.5

Step-by-step explanation:

You wrote the equation strange so i don't really know if the end of the equation is a 25 or not

Answer

50

Step-by-step explanation:

60 is supplementary to 120 so 60+70=130

and a triangle adds up to 180 so 180-130 would be 50

The coordinates of the point on the directed line segment from (-7, 9) to (3, -1) that partitions the segment into a ratio of 2 to 3 are (-3, 5).

To find the coordinates of the point that divides the directed line segment from (-7, 9) to (3, -1) into a ratio of 2 to 3, we can use the section formula.

Let's label the coordinates of the desired point as (x, y). According to the section formula, the x-coordinate of the point is given by:

x = (2 * 3 + 3 * (-7)) / (2 + 3) = (6 - 21) / 5 = -15 / 5 = -3

Similarly, the y-coordinate of the point is given by:

y = (2 * (-1) + 3 * 9) / (2 + 3) = (-2 + 27) / 5 = 25 / 5 = 5

Therefore, the coordinates of the point that divides the line segment in a ratio of 2 to 3 are (-3, 5).

To understand this conceptually, consider the line segment as a distance from the starting point (-7, 9) to the ending point (3, -1). The ratio of 2 to 3 means that the desired point is two-thirds of the way from the starting point and one-third of the way from the ending point. By calculating the x and y coordinates using the section formula, we find that the desired point is located at (-3, 5).

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The angle m∠J  in the right angle triangle is 58.1 degrees.

One of the angle of a right tangle triangle is 90 degrees. The sum of

angles in a triangle is 180 degrees.

Therefore, the side length LK can be found using Pythagoras's theorem and the angle can be found using trigonometric ratios.

Hence,

tan ∠J = opposite / adjacent

tan ∠J = 15.1 / 9.4

∠J = tan⁻¹ 1.60638297872

∠J = 58.0909229196

Therefore,

m∠J = 58.1 degrees

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The rate of change of y with respect to x for this function can be seen as the slope of the line that passes through the 2 points shown in the graph. So that, if you take (5.5,2) as P1 and (-7,-3) as P2, you have.

Therefore, the rate of change of y with respect to x for this function is 0.4.

Answer:

so simple division he can lift 44kg

one pound is 2.2kg

well you know what to do you divide the number to get the amount he can lift

so 44/2.2 and we get 20 pounds he can lift

Answer:

12,336

Step-by-step explanation:

1% from both prices are 697 and 845 you will add those numbers = 1542 and multiply by 8 = 12336

Answer:

Option 3

(3xy³ + 5x²y⁴)  (3xy³ - 5x²y⁴)

Step-by-step explanation:

Factorize polynomials:

Use exponent law:

                   \(\boxed{\bf a^{m*n}=(a^m)^n} \ & \\\\\boxed{\bf a^m * b^m = (a*b)^m}\)

9x²y⁶ = 3²* x² * y³*² = 3² * x² * (y³)² = (3xy³)²

25x⁴y⁸ = 5² * x²*² * y⁴*² = 5² * (x²)² * (y⁴)² = (5x²y⁴)²

Now use the identity:  a² - b² = (a +b) (a -b)

Here, a = 3xy³ & b = 5x²y⁴

9x²y⁶ - 25x⁴y⁸ = 3²x²(y³)² - 5²(x²)² (y⁴)²

                       = (3xy³)² - (5x²y⁴)²

                      = (3xy³ + 5x²y⁴)  (3xy³ - 5x²y⁴)

148

(-9 +61) - (5-101)

(-9 +61) = 52

(5-101) = -96

So, 52 - ( - 96 )

=> 52 + 96

=> 148

Hope it helps!

Answer:

-9+61-5+101

-14+162

148

hope this will help you

Answer:

We have this original function given:

\( g(x) =-x^2 +5\)

And we want to transtale vertically downward 4 units this function and we will get the new fnction h(x) and on this case we have to do this transformation:

\( h(x)= g(x) -4\)

And replacing we got:

\( h(x) = -x^2 +5 -4 =-x^2 +1\)

Step-by-step explanation:

We have this original function given:

\( g(x) =-x^2 +5\)

And we want to transtale vertically downward 4 units this function and we will get the new fnction h(x) and on this case we have to do this transformation:

\( h(x)= g(x) -4\)

And replacing we got:

\( h(x) = -x^2 +5 -4 =-x^2 +1\)

Answer:

3/5

Step-by-step explanation:

Pick two points that are easy to read. pints that are easy to read are on the intersection of grid lines.

For example, pick (-2, 0) and (3, 3).

slope = rise/run

Rise is a vertical distance.

Run is a horizontal distance.

Start at (-2, 0). To go to (3, 3) by using only horizontal and vertical segments, go up 3 unit. Now go right 5 units.

The rise is 3. The runs is 5.

slope = rise/run = 3/5

Answer: 3/5

Answer:

30 laps

Step-by-step explanation:

Take 265 then subtract 25. you get 240. then divide that by 8. you get 30 so she ran 30 laps

Answer:

K

Step-by-step explanation:

(1*500 * 5) + (10 * 3*500)

Answer:

I think it is p= $60

Answer:

3.7ml/hr

Step-by-step explanation:

From the question

A nurse is preparing to administer dopamine 2 mcg/kg/min by continuous IV infusion

Step 1

The patient weighs 110lb(pounds

Convert the patients weight to kilogram

1 lb = 0.454kg

110lb =

Cross Multiply

110lb × 0.454kg

= 49.94kg

The patient weight = 49.94kg

Step 2

The dosage to to be administered by the nurse = 2 mcg/kg/min

If 1 kg = to be administered 2mcg/min

49.94 kg =

(49.94kg × 2mcg/min)/1

= 99.88mcg/min

Therefore, for the patient's body weight, the patient's dosage = 99.88mcg/min

Step 3

Available dopamine is 400mg in 250ml

We have to convert this to mcg

Hence,

1 mg = 1000mcg

400mg =

Cross Multiply

= 400mg × 1000mcg

= 400000mcg

Hence, the available dopamine is administer in 250ml/400000mcg

Part 3

Since 60 minutes is 1 hour

The nurse should set the IV pump to deliver how many ml/hr

(99.88mcg/min × 250ml × 60mins)/ 400000mcg

= 3.7455ml/hr

Approximately to the nearest tenth = 3.7ml/hr

In the quadrilateral ACDE, we can identify two congruent angles: angle CDA and angle C'EA.

In the given diagram, we have ACDE as a quadrilateral, and we know that CD is congruent to CE. To identify two congruent angles, let's examine the properties of the quadrilateral.

Since ACDE is not specified to be a particular type of quadrilateral (such as a parallelogram or rectangle), we cannot directly infer congruent angles from its properties.

However, we can make use of some general properties of quadrilaterals to identify two congruent angles. One property is that the sum of the interior angles of a quadrilateral is always 360 degrees.

Let's consider angle C as one of the angles in ACDE. Since CD is congruent to CE, we can denote angle CDE as angle C' to represent the congruent angles.

Now, using the property that the sum of the interior angles of a quadrilateral is 360 degrees, we can express the relationship between the angles of ACDE as:

∠ACD + ∠CDE + ∠DEA + ∠EAC = 360 degrees

Since CD is congruent to CE, angles CDA and CEA are also congruent (opposite angles in a quadrilateral). So, we can rewrite the equation as:

∠ACD + ∠CDA + ∠C'EA + ∠EAC = 360 degrees

Since we want to identify two congruent angles, let's focus on angles CDA and C'EA. These two angles are formed by the intersection of the congruent sides CD and CE with different adjacent sides.

Therefore, we can conclude that angles CDA and C'EA are congruent in ACDE.

In summary, in the quadrilateral ACDE, we can identify two congruent angles: angle CDA and angle C'EA.

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By calculating this average, we can approximate the slope of the tangent line to the curve at P (16, 7).

To find the slope of the secant line PQ, we need to calculate the difference in y-coordinates (change in y) divided by the difference in x-coordinates (change in x) between the points P and Q.

For x = 16.1:

Coordinates of Q: (16.1, √(16.1) + 3)

Slope of PQ = (y-coordinate of Q - y-coordinate of P) / (x-coordinate of Q - x-coordinate of P)

Slope of PQ = (√(16.1) + 3 - 7) / (16.1 - 16)

Slope of PQ = (√(16.1) - 4) / 0.1

Similarly, we can find the slope of PQ for the other given values of x:

For x = 16.01: Slope of PQ = (√(16.01) - 4) / 0.01

For x = 15.9: Slope of PQ = (√(15.9) - 4) / (-0.1)

For x = 15.99: Slope of PQ = (√(15.99) - 4) / (-0.01)

Based on the given values, we can observe that as x approaches 16, the values of the slopes of PQ get closer to a certain value. This suggests that the slope of the secant line PQ tends to converge to a specific value as x approaches 16.

Therefore, we can infer that the slope of the tangent line to the curve at P (16, 7) is the limit of the slopes of PQ as x approaches 16. To get an estimate of the slope of the tangent line, we can take the average of the slopes of PQ for x = 16.1 and x = 15.9:

Slope of the tangent line at P ≈ (slope of PQ for x = 16.1 + slope of PQ for x = 15.9) / 2.

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9514 1404 393

Answer:

  n² -n +1

Step-by-step explanation:

First differences of the terms of the sequence are ...

  3-1 = 2

  7-3 = 4

  13-7 = 6

  21-13 = 8

Second differences are ...

  4-2 = 2

  6-4 = 2

  8-6 = 2

In a quadratic sequence the coefficient of the squared term is half of the second difference value. Here, that means the squared term will be (2/2)n² = n².

__

We can find the other terms of the quadratic expression by considering the differences between n² and the actual sequence.

The sequence of n² terms is ...

  1, 4, 9, 16, 25

When we subtract these from the actual sequence, we get ...

  1-1 = 0

  3-4 = -1

  7-9 = -2

  13-16 = -3

  21-25 = -4

That is, the amount subtracted from n² is one less than the term number.

The expression for the n-th term is ...

  an = n² -n +1