What is the algebraic inverse of the function f(x) = 5x - 15?

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Answer:

1

Step-by-step explanation:

The maximum of f(x) = sin(x) is 1. The sine function has a range of -1 ≤ sin(x) ≤ 1. The sine function oscillates between -1 and 1, reaching a maximum of 1 when x = π/2 and a minimum of -1 when x = -π/2.  If you look at a graph of

y = sin(x) you can see this.  

Answer: The Maximum Value of f(x)=sin(x) is 1 , when x=90°.

Step-by-step explanation:

Property of Sine function:

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Answer:

1 or 6/6

Step-by-step explanation:

because 3 x 2 is 6 and 2 x 3 is 6 as well, and 6/6 is equal to 1. So, the answer is 1.

Answer:

37.50%

Step-by-step explanation:

The computation of the percentage of people who smoke have high blood pressure is shown below:

Given that

There is 50% of the people who has the high blood pressure

And, out of which 75% would smoke

So, the percent of the people who smoke have high high blood pressure is

= 50% × 0.75

= 37.50%

The area of the given figure is 192.5 ft².

Given is a figure we need to find its area,

By splitting the shape in 2, we can find the area.

Starting with the parallelogram (on the left), the area formula is A = b × h.

b (base) = 11 ft.

h (height) = 7 ft.

A (area) = (11 ft.)(7 ft.)

A = 77 ft.²

Then, the trapezoid's (on the right) area formula is A = [(a + b) ÷ 2] × h.

a (first base) = 8 ft.

b (second base) = (20 - 7) = 13 ft.

h (height) = 11 ft.

A = [(8 ft. + 13 ft.) ÷ 2] × 11 ft.

A = [(21 ft.) ÷ 2] × 11 ft.

A = (10.5 ft.) × 11 ft.

A = 115.5 ft.²

we can add them together to find the total area:

A = 77 ft.² + 115.5 ft.²

A = 192.5 ft.²

Hence, the area of the given figure is 192.5 ft².

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Tally won the dirt throwing game and his score was 1.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

From the given information, The score of Tally is,

= 3×2 - 3×3 + 4×1.

= 6 - 9 + 4.

= 1.

The score of Awasin is,

= 4×2 - 4×3 + 2×1.

= 8 - 12 + 2.

= - 2.

So, Tally won the game and his score is 1.

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The values of a and b are a = -3 and b = 42. The solutions for x can be written as:

x = -3 - √42

x = -3 + √42

To solve the quadratic equation 2x² + 12x = 66 by completing the square, we need to follow these steps:

Step 1: Move the constant term to the right side:

2x² + 12x - 66 = 0

Step 2: Divide the equation by the leading coefficient (2):

x² + 6x - 33 = 0

Step 3: To complete the square, we take half of the coefficient of x, square it, and add it to both sides of the equation:

x² + 6x + (6/2)² = 33 + (6/2)²

x² + 6x + 9 = 33 + 9

x² + 6x + 9 = 42

Step 4: Rewrite the left side as a perfect square:

(x + 3)² = 42

Step 5: Take the square root of both sides:

√(x + 3)² = ±√42

x + 3 = ±√42

Step 6: Solve for x:

x = -3 ± √42.

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Therefore, according to the given information, The formulas to find the area of a circle are\(\pi r^2 and (d/2)^2\pi or r^2\pi\).

The area of a circle is given by the formula A = πr², where r is the radius of the circle.

The area of a circle can be found using either of the following formulas:

\(\pi r^2\), where π (pi) is a mathematical constant approximately equal to 3.14159 and r is the radius of the circle.

\(A = (d/2)^2π,\) where d is the diameter of the circle. This formula can also be written as \($A = r^2\pi$\), where r is the radius of the circle and A is the area.

Both formulas are equivalent and can be used interchangeably, depending on the given information about the circle.

Therefore, according to the given information, The formulas to find the area of a circle are\(\pi r^2 and (d/2)^2\pi or r^2\pi\).

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Mary is wrong because ∠A = ∠B = 63°, while ∠C = x ≠ 63°

A triangle is a polygon with three sides and three angles. Types of triangles are equilateral, isosceles and right angled.

An isosceles triangle is a triangle in which two sides and two angles are equal.

From the diagram:

∠A = ∠B (base angles)

Mary is wrong because ∠A = ∠B = 63°, while ∠C = x ≠ 63°

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The null hypothesis is that there is no discernible difference among the 5 treatments. The alternative hypothesis is that there is a discernible difference among the 5 treatments

Degree of freedom between groups is nothing but the number of treatments-1 i.e. 5-1=4 and degree of freedom within groups is nothing but total number of subjects- number of treatments i.e. 5*10-5=50-5=45

Mean squares between groups is calculated as follows:

Mean squares between groups= Sum of squares between groups/degrees of freedom between groups= 232/4=58

Mean squares within groups is calculated as follows:

Mean squares within groups= Sum of squares within groups/degrees of freedom within groups= 400/45= 8.89 rounded off to two decimal places

F ratio is calculated as follows:

F= Mean squares between groups/Mean squares within groups

= 58/8.89

= 6.524184477

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Work Shown:

tan(angle) = opposite/adjacent

tan(X) = ZY/XY

tan(X) = 32/24

tan(X) = (8*4)/(8*3)

tan(X) = 4/3

Answer:

x = 4√2

Step-by-step explanation:

Identifying the triangle in the diagram:

45-45-90 triangle rules:

Finding x:

Since the hypotenuse is 8 units long and, we can find x by setting 8 equal to x√2:

(8 =  x√2) / √2

8/√2 = x

Rationalize the denominator to simplify:

(8/√2) * (√2/√2)

8√2 / 2

4√2

Thus, x = 4√2

Answer:

Solo multiplica la cifra mensual por los meses del año (12) es decir

115,6 MC x 12 = 1387,2 MC

MC = Millones de Cerdos

espero que te ayude

Step-by-step explanation:

115,600,000

Aplicando proporciones, hay que 115.6 millones en número es escrito como 115.600.000.

La regla de três es:

1 millón - 1.000.000

115.6 millones - x

Aplicando multiplicación cruzada:

\(x = 115.6(1.000.000) = 115.600.000\)

115.6 millones en número es escrito como 115.600.000.

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Given:

The principal amount = $500

Interest rate = 10% quarterly

Required:

Find the deposing amount after 25 years.

Explanation:

The amount formula when the interest is compounded quarterly is given as:

Where r = interest rate

t = time period

n = The number of compounded times

The amount after 25 years is:

Final Answer:

The amount after 25 years will be &5906.85

Therefore, the equation of the line passing through the point (1,5) with a slope of 7 is y = 7x - 2.

The equation of a line in the point-slope form is given by the following equation:

y-y_1 = m(x-x_1)

where m is the slope of the line and (x1, y1) is any point on the line.

Therefore, we can write the equation of the line passing through the point (1,5) with a slope of 7 as follows:

y-5 = 7(x-1)

Expanding the right-hand side of the equation gives:

y-5 = 7x-7

Adding 5 to both sides of the equation gives:

y = 7x-2

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Using the arrangements formula, it is found that there are 479,001,600 ways to arrange all of her cubicles.

The number of possible arrangements from a set of n elements is given by:

\(A_n = n!\)

In this problem:

\(A_{12} = 12! = 479,001,600\)

There are 479,001,600 ways to arrange all of her cubicles.

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Remember that an ordered pair is written in the form:

Substitute the given values of x and y into the inequality to see if it is true or false. In case that the inequality turns out to be true, then the ordered pair is a solution.

1. x-y>2; (5,4)

Since 1>2 is false, then (5,4) is not a solution for the inequality x-y>2-

3. 5x+y <= 12: (2,2)

Since 12=12, then the last expression is true, then, (2,2) is a solution to the inequality.

Answer: you have it right

Step-by-step explanation:

Answer:

1. Sumpplemtery 2. Complementary.

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

4 * 2 + 3 - 2 =

= 8 + 1 =

= 9

Answer:

762 days

Step-by-step explanation:

Given

\(Rate = 200 + 10t + 13t^2\)

Let the rate be R.

So the rate change with time is represented as:

\(\frac{dR}{dt} = 200 +10t + 13t^2\)

So:

\(dR = (200 + 10t + 13t^2)\ dt\)

To get the number of insects between day 0 and day 3, we need to integrate dR and set the bounds to 0 and 3

i.e.

\(dR = (200 + 10t + 13t^2)\ dt\) becomes

\(\int\limits^3_0 {dR} \, =\int\limits^3_0 (200 + 10t + 13t^2)\ dt\)

\(R =\int\limits^3_0 (200 + 10t + 13t^2)\ dt\)

Integrate

\(R = 200t + \frac{10t^2}{2} + \frac{13t^3}{3} [3,0]\)

Solve for R by substituting 0 and 3 for t

\(R = (200*3 + \frac{10*3^2}{2} + \frac{13*3^3}{3}) - ( 200*0 + \frac{10*0^2}{2} + \frac{13*0^3}{3})\)

\(R = (200*3 + \frac{10*9}{2} + \frac{13*27}{3}) - (0 + \frac{10}{2} + \frac{0}{3})\)

\(R = (200*3 + 5*9 + 13*9) - (0)\)

\(R = 600 + 45 + 117 - 0\)

\(R =762\)

The population of insect between the required interval is 762

The required change in the population of insects between day 0 and day 3 is 762.

Given that,

A population of insects increases at the rate of 200++ 10t + 13t2.

We have to determine,

What is the change in the population of insects between day 0 and day 3.

According to the question,

The rate change with time is represented as:

\(\frac{dr}{dt} = 200+10t+13t^{2}\)

To determine the change in the population of insects between day 0 and day 3,

Integrating the given function with respect to time with limit 0 days to 3 days.

\(\int\limits^3_0 dr = \int\limits^3_0 (200+10t+13t^{2} ). dt\\\\\int\limits^3_0dr =\int\limits^3_0 \, 200dt + \int\limits^3_0 10tdt +\int\limits^3_0{13t^{2} dt\\\\\\\\R = [200t]^3_0 + [5t^{2} ]^3_0 + [\frac{13t^{3} }{3} ]^3_0\\\\R = 200[(3) - (0)] + 5 (3^{2} - 0^{2} ) + \frac{13}{3} [ 3^{3} - 0^{3} ]\\\\R = 200(3) + 5 (9) + \frac{13}{3}(27)\\\\R = 600+45+117\\\\R = 762\)

Hence, The required change in the population of insects between day 0 and day 3 is 762.

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Answer:

No, the Normal/large sample condition is not met. A confidence interval assumes that the underlying population follows a normal distribution and that the sample size should be at least 30. Since the sample size in this case is only 10, the Normal/Large Sample condition is not met and the conditions for constructing a confidence interval are not met.

Answer:

n = m - a

Step-by-step explanation:

a = m - n

add n to both sides of the equation

a + n = m - n + n

a + n = m

subtract a from both sides of the equation

a - a + n = m - a

n = m - a

Answer:

n = a - m

Step-by-step explanation:

a = m - n

a - m = n

The length of m is 15.6 cm.

A point where two lines meet produces an angle.

The breadth of the "opening" between these two rays is referred to as a "angle". It is depicted by the figure.

Radians, a unit of circularity or rotation, and degrees are two common units used to describe angles.

By connecting two rays at their ends, one can make an angle in geometry. The sides or limbs of the angle are what are meant by these rays.

The limbs and the vertex are the two main parts of an angle.

The common terminal of the two beams is the shared vertex.

113/7.5

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Answer:

Step-by-step explanation:

Area of one base:

  \(A=\pi r^2=\pi (3.2)^2 =10.24\pi cm^2\)

Perimeter of circle base:

  \(P=2\pi r=2\times \pi \times 3.2 =6.4 \pi cm\)

Height of cylinder:

  \(h=8.7cm\)       (given in question)

Total surface area:

\(SA=\) area 2 circles + area rectangle

     \(=(2\times 10.24 \pi) +(6.4\pi\times 8.7)\)           (Area rectangle = cylinder height x

                                                              circle perimeter)

     \(=239.26cm^2\)

The angle LKN in the rhombus is 62 degrees.

A rhombus is a quadrilateral that has 4 sides equal to each other. The sum of angles in a rhombus is 360 degrees.

Opposite angles are equal in a rhombus. The diagonals bisect each other at 90 degrees. Adjacent angles add up to 180 degrees.

Therefore, let's find ∠LKN as follows:

m∠JMN = (-x + 69)

m∠LMJ = (-6x + 166)

Therefore,

1 / 2 (-6x + 166) = -x + 69

-3x + 83 = -x + 69

-3x + x = 69 - 83

-2x = -14

x = -14 / -2

x = 7

Therefore,

∠LKN = 1 / 2 (-6x + 166)

∠LKN = 1 / 2 (-6(7) + 166)

∠LKN = 1 / 2 (-42 + 166)

∠LKN = 62 degrees

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Answer:

Attached is an example of a circle with a radius of 5 and a diameter of 10.

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Answer:

177 600 000 is the answer

Kala spun the spinner 1000 times and got the following results:

- Yellow: 400 times

- Red: 300 times

- Blue: 300 times

1. Calculate the amount of sales tax:

  - The item costs $350 before tax.

  - The sales tax rate is 14%.

  - To find the sales tax amount, multiply the cost of the item by the tax rate:

    Sales tax = $350 * 0.14 = $49.

2. Determine the total cost of the item including tax:

  - Add the sales tax amount to the original cost of the item:

    Total cost = $350 + $49 = $399.

3. Analyze the spinner results:

  - The spinner has 10 equal-sized slices.

  - There are 4 yellow slices, 3 red slices, and 3 blue slices.

  - Kala spun the dial 1000 times.

4. Calculate the frequency of each color:

  - Yellow: Kala got 400 yellow results out of 1000 spins.

  - Red: Kala got 300 red results out of 1000 spins.

  - Blue: Kala got 300 blue results out of 1000 spins.

5. Calculate the probability of landing on each color:

  - Yellow: Probability = Frequency of yellow / Total spins = 400 / 1000 = 0.4.

  - Red: Probability = Frequency of red / Total spins = 300 / 1000 = 0.3.

  - Blue: Probability = Frequency of blue / Total spins = 300 / 1000 = 0.3.

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To find the number of page she read per minute

First let's chenge the 8 hours to minute

8 hours = 8 x 60 = 480 min

Since she read 600 pages

Number of pages read per min = 600/ 480

=1.25 pages

Answer:

The question is not complete