IGNOR MY ANSWER I ALSO NEED TO KNOW IF IT'S OPEND OR CLOSED Graph the solution to this inequality on the number line.
−4m+3>11

Answer:

a = 22

Step-by-step explanation:

To find a, divide each side by 1/2, or multiply by the reciprocal:

1/2a = 11

a = 22

So, a = 22

Answer:

a = 22

because when isolate a you move 1/2 over with 11, and when you do that insted of multyplying 1/2 times a you divide 1/2 by 11

Step-by-step explanation:

70 to 85 % of his maximum

Maximum is estimated to be 220 - age  = 220 - 42 = 178

70% of this is 125

85 % is 89  151  

I believe I would go with the third choice  116-160 bpm

The height of the kite from the ground when the angle is 50 degrees is 232 feet.

The study of the correlations between triangles' sides and angles is the focus of the mathematic branch known as trigonometry. To link the angles of a right triangle to the lengths of its sides, it makes use of trigonometric functions like sine, cosine, and tangent.

Numerous industries, including physics, engineering, and navigation, use trigonometry. It can be used, for instance, to determine a building's height or the separation between two locations on a map, as well as to examine how waves and oscillations behave.

To find the height of the kite above the ground we use the trigonometric identity of tangent.

Thus, we have:

tan(50°) = h/200

Now, using cross multiplication:

h = 200 tan(50°) ≈ 232 feet

Hence, the height of the kite from the ground when the angle is 50 degrees is 232 feet.

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Trigonometric ratios relate the angles of a triangle to the length of the sides.

Given a triangle as shown below

The side opposite the angle θ is referred to as the Opposite and the side opposite the right-angle is referred to as the Hypotenuse. The remaining side is the Adjacent.

The Sine ratio is given as

The Tangent ratio is given as

The Cosine ratio is given as

A mnemonic to easily remember is SOH CAH TOA.

Answer:

The annual interest you would earn on each bond depends on the bond's coupon rate, which can be calculated by dividing the bond's current yield (Column 2) by 100. For Bond A and C, the coupon rate would be 7.5%, and for Bond X and Y, it would be 8.4%. The annual interest you would earn on each bond would be the coupon rate multiplied by the bond's face value (Column 1). For Bond A and C, the annual interest would be 7.5% * $15 = $1.125, and for Bond X and Y, it would be 8.4% * $15 = $1.26.

Answer:

10x+20

Step-by-step explanation:

Using the distributive property, you can write

15x+20-5x

Then it simplifies to 10x+20.

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The step that Inga could use to solve the quadratic equation is;

2(x² + 6x + 9) = 18 + 3.

The solution to the quadratic equation is calculated as follows;

2x² + 12x - 3 = 0

Add 3 to both sides to get;

2x² + 12x = 3

Divide through by 2 which is the coefficient of x² to get;

x² + 6x = ³/₂

Square half of the coefficient of x, and then add it both sides of the equation to get;

(x + 3)² = ³/₂ + 3²

x² + 6x + 9 = 9 + ³/₂

2(x² + 6x + 9) = 18 + 3

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Answer:

Assuming you're doing these values in pairs:

1:9 = 1/9

3:4 = 3/4

35:410 = 7/82

4 = 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Solve the equationSolve for rr=5Show Solutions Rewrite the equationRewrite in rectangular formx2+y2−25=0Show Solutions Graph

Answer:

5/12 ÷ 1/6

Step-by-step explanation:

2.5

Two possible solutions to this system are (150, 200) and (120, 180)

Let x represents the number of pieces sold by the boys, and number of pieces sold by the girls

From the question, we have:

Boys = $2

Girls = $4

Total sales = (more than) $800

So, the inequality is:

2x + 4y > 800

This means that the smallest value of y is 100.

The inequality is:

y >= 0

See attachment for the graph of the solutions

Using the attached graph, two possible solutions to this system are (150, 200) and (120, 180)

This is because both points are in the shaded region

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Step-by-step explanation:

To differentiate the function f(x) = 1/x^3, we can use the power rule of differentiation. Here's the step-by-step process:

Write the function: f(x) = 1/x^3.

Apply the power rule: For a function of the form f(x) = x^n, the derivative is given by f'(x) = nx^(n-1).

Differentiate the function: In our case, n = -3, so the derivative is:

f'(x) = -3 * x^(-3-1) = -3 * x^(-4) = -3/x^4.

Therefore, the derivative of the function f(x) = 1/x^3 is f'(x) = -3/x^4.

Answer:

Questions?

Step-by-Step Explanation:

Answer:

What is the questions or share a picture of the questions

The equation to find the number of servings of trail mix that had been eaten during the month will be x = 71 - 49.

It It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.

In this case, Shiloh made 71 servings of trail mix and by the end of the month, she had 49 servings of trail mix left.

The equation to find the serving eaten will be:

x = Beginning amount - Ending amount

x = 71 - 49

This depcits the equation.

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y = -4x + 1 and  y = ¾x + 4, Clearly by values we can see that they are neither parallel nor perpendicular.

The ratio of the "vertical change" to the "horizontal change" between (any) two unique points on a line is used to compute slope. The ratio can also be written as a quotient ("rise over run"), which produces the same number for every two distinct points on the same line. A declining line has a negative "rise." The line might be useful, as determined by a road surveyor, or it might appear in a diagram that represents a road or a roof as a description or a design.

The slope's absolute value serves as a gauge for a line's steepness, incline, or grade. A steeper line is indicated by a slope with a higher absolute value. A line can be drawn with one of four directions: upward, downward, horizontal, or vertical.

Clearly by values we can see that they are neither parallel nor perpendicular.

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Answer:

1/8 Of the animals are rabbits.

Step-by-step explanation:

3/8 Cats + 4/8 Dogs = 7/8

1/8 Is all you have room left for so 1/8 would be rabbits.

Answer:

1/8.

Step-by-step explanation:

Fraction of rabbits = 1 - (3/7 + 4/8)

= 1 - 7/8

= 8/8 - 7/8

= 1/8.

The preparation of the branch's income statement for Santosh & Co. Chennai is as follows:

Branch of Santosh & Co. Chennai

For the year ended December 31, 2018

Sales revenue            $40,300

Cost of goods sold         4,200

Gross profit                 $36,100

Expenses:

Office expenses $36,000

Salaries                    3,600

Total expenses         $39,600

Loss                             $3,500

An income statement is a financial statement prepared at the end of an accounting period to determine the profit or loss generated by a business or branch.

The profit or loss is the difference between the total revenue and the total expenses for the accounting period.

Credit sales at branch 40,000

Office expenses by Head office 36,000

Cash remittance to branch for petty cash 9,000

Goods sent to Branch 7,200

Salaries paid by head office 3,600

Debtors 31.12.2018 30,000

Petty cash on 31.12.2018 16,200

Cash sales at branch 300

Stock of 31.12.2018 3,000

Sales revenue   $40,300 ($40,000 + $300)

Cost of goods sold $4,200 ($7,200 - $3,000)

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The three Pythagorean trigonometric identities, which I’m sure one can find in any Algebra-Trigonometry textbook, are as follows:

sin² θ + cos² θ = 1

tan² θ + 1 = sec² θ

1 + cot² θ = csc² θ

where angle θ is any angle in standard position in the xy-plane.

Consistent with the definition of an identity, the above identities are true for all values of the variable, in this case angle θ, for which the functions involved are defined.

The Pythagorean Identities are so named because they are ultimately derived from a utilization of the Pythagorean Theorem, i.e., c² = a² + b², where c is the length of the hypotenuse of a right triangle and a and b are the lengths of the other two sides.

This derivation can be easily seen when considering the special case of the unit circle (r = 1). For any angle θ in standard position in the xy-plane and whose terminal side intersects the unit circle at the point (x, y), that is a distance r = 1 from the origin, we can construct a right triangle with hypotenuse c = r, with height a = y and with base b = x so that:

c² = a² + b² becomes:

r² = y² + x² = 1²

y² + x² = 1

We also know from our study of the unit circle that x = r(cos θ) = (1)(cos θ) = cos θ and y = r(sin θ) = (1)(sin θ) = sin θ; therefore, substituting, we get:

(sin θ)² + (cos θ)² = 1

1.) sin² θ + cos² θ = 1 which is the first Pythagorean Identity.

Now, if we divide through equation 1.) by cos² θ, we get the second Pythagorean Identity as follows:

(sin² θ + cos² θ)/cos² θ = 1/cos² θ

(sin² θ/cos² θ) + (cos² θ/cos² θ) = 1/cos² θ

(sin θ/cos θ)² + 1 = (1/cos θ)²

(tan θ)² + 1 = (sec θ)²

2.) tan² θ + 1 = sec² θ

Now, if we divide through equation 1.) by sin² θ, we get the third Pythagorean Identity as follows:

(sin² θ + cos² θ)/sin² θ = 1/sin² θ

(sin² θ/sin² θ) + (cos² θ/sin² θ) = 1/sin² θ

1 + (cos θ/sin θ)² = (1/sin θ)²

1 + (cot θ)² = (csc θ)²

3.) 1 + cot² θ = csc² θ

\(f(x)=a|x-h|+k\) looks similar to that of vertex form where a is the stretch factor, h is the horizontal translation, and k is the vertical translation.

\(f(x)=7|x+4|-6\) would mean that the minimum point is located at \(x=-4\) and \(y=-6\).

Moving f(x) 2 units to the right will only affect the h value and the only way to do this is by subtracting 2 from 4. Remember that the more negative the number, the more positive or to the right the x value for the minimum/maximum is, and vice versa.

The final equation will be  \(f(x)=7|x+2|-6\) where:

a = 7

h = 2

k = 6

Answer:

7(x + 2) - 6

Step-by-step explanation:

a(x - h) + k

the h shift it right or left where a negative number is right and the positive is left

- we want it to move right 2 so -4 + 2 = -2 where negative number means a positive h so its +2

k shifts it up or down

Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

From the question, we have the following parameters that can be used in our computation:

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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The fourth term of the geometric sequence is 1/4.

The branch of mathematics dealing with the relations of the sides and angles of triangles and with the relevant functions of any angles

If 4 sin 45°; 2 tan 45°; cos 45° are the first three terms of a geometric sequence, then we can find the common ratio (r) between consecutive terms by dividing any term by its preceding term:

\(\rm r = (2 \tan 45^{\circ}) / (4 \sin 45^{\circ}) = (2/4) \times (1/\cos 45^{\circ}) = (1/2) \times (\sqrt{2}/2) = \sqrt{2} / 4\)

Now that we know the common ratio, we can find the fourth term of the sequence by multiplying the third term (cos 45°) by the common ratio:

\(\rm Fourth\ term = \cos 45^{\circ} \times r = \cos 45^{\circ} \times (\sqrt{2} / 4) = (\sqrt{2} / 2) \times (\sqrt{2} / 4) = 2 / 8 = 1 / 4\)

Therefore, the fourth term of the geometric sequence is 1/4.

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Answer:

if you are asking for true or false it would be false

Step-by-step explanation:

Answer:

750

3000 6^√3= 3602.8109

Step-by-step explanation:

i cant tell for the middle part if its

2.  ³√3 or 2³. √3

so the first answer is for the first one and the second is for the second one

Answer:

I think the answer would be 12

Answer:

12 minutes per mile

Sorry if I got it wrong

You need to multiply by 5 instead of 6 because each pair of opposite faces on a cuboid has the same area, so by considering one face from each pair, you ensure that you don't count any face twice.

When calculating the total surface area of a cuboid, you need to understand the concept of face pairs.

A cuboid has six faces, but each face has a pair that is identical in size and shape.

Let's break down the reasoning behind multiplying by 5 instead of 6 in the given scenario.

To find the surface area of a cuboid, you can add up the areas of all its faces.

However, each pair of opposite faces has the same area, so you avoid double-counting by only considering one face from each pair. In this case, you have five pairs of faces:

(1) top and bottom, (2) front and back, (3) left and right, (4) left and back, and (5) right and front.

By multiplying the average area of a pair of faces by 5, you account for all the distinct face pairs.

Essentially, you are considering one face from each pair and then summing their areas.

Since all the pairs have the same area, multiplying the average area by 5 gives you the total surface area.

When dividing 150 by 4 (to find the average area of a pair of faces), you are essentially finding the area of a single face.

Then, by multiplying this average area by 5, you ensure that you account for all five pairs of faces, providing the total surface area of the cuboid.

Thus, multiplying by 5 is necessary to correctly calculate the total surface area of the cuboid by accounting for the face pairs while avoiding double-counting.

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Answer: The square root of 1681 is 41.

Answer:

41

Step-by-step explanation:

It is 41

41 * 41 = 1681

41 ^ 2 = 1681

Answer:

21

Step-by-step explanation:

I hope this helps!