what is 7 + 8p + 9 + 2p

Answer: x = 3

Step-by-step explanation:

6x + 5 = 3x + 14

subtract 5 from both sides:

6x + 5 - 5 = 3x + 14 - 5

6x = 3x + 9

subtract 3x from both sides:

6x - 3x = 3x + 9 - 3x

3x = 9

divide both sides by 3:

3x/3 = 9/3

x = 3

Answer:

x=

Step-by-step explanation:

collect like terms

6x-3x =14x-5

3x=9

x=

Answer:

0.45 miles per minute

Step-by-step explanation:

Answer:

34.6

Step-by-step explanation:

In this triangle we have an angle which is 38° and the side opposite to it which is 27 and we have to find the adjacent side

There is only one formula which have these two sides

tan

tan∅ = opposite ÷ adjacent

tan 38° = 27 ÷ x

x = 27 ÷ (tan 38°)

x = 34.56

x≈ 34.6

Answer:

I think it is 249 for the first one and the second one i dont know sorry

Step-by-step explanation:

Answer:

C) No; the element 6 in the domain is paired with both -1 and 5 in the range.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

in a function the x values are the inputs and the y values are the output.

there should only be ONE input and multiple outputs in a function.

This means that a function shouldn't have the same x value.

Since 6 as an x value is seen twice with -1 and 5, these coordinates don't define a function.

dy/dx = (y-3)(y+3) is the autonomous differential equation that satisfies all of the given properties.

The autonomous differential equation that satisfies all of the given properties is dy/dx = (y-3)(y+3). This equation has two equilibrium solutions at y = 0 and y = 3, and is positive for -inf < y < 0, and negative for 0 < y < 3, and positive for 3 < y < inf.

To demonstrate this, let's consider the equation at y=-3. Since y=-3 is less than 0, the equation can be simplified to dy/dx = 6. Since 6 is positive, y' is also positive, meaning that y is increasing. Similarly, if y=3, dy/dx = 0 which is neither positive nor negative, so y remains constant. Finally, for y>3, dy/dx = -6, which is negative, so y is decreasing.

Therefore, dy/dx = (y-3)(y+3) is the autonomous differential equation that satisfies all of the given properties.

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Answer: 80

Step-by-step explanation:

Answer: The correct answer is 80

Step-by-step explanation:

in parentheses 3x4 = 12 - 4 = 8

6 + 4 = 10

10 x 8 = 80

Answer:

slope=undefined

Step-by-step explanation:

(-5-4)/(9-9)

-9/0

\(\frac{(y_2-y_1)}{(x_2-x_1)}\)

\(\frac{(-5-4)}{(9-9)}\)

\(\frac{-9}{0}\)

Because the denominator is 0, the slope is undefined.

Rise over run. The run is 0.

the total area of the two triangles as shwon in the image is 70 in²

Area can be defined as the total portion occuppied by a plane fiqure.

To calculate the total area of the two triangles, we use the formula below.

Formula:

Where:

Substitute these values into equation 1

Similarly,

Where:

Substitute these values into equation 2

Therefore, the total area of the two triangles is 40+30 = 70 in².

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The correct answer is C. It is the graph of f(x) translated 11 units to the left.

The correct answer is:

C. It is the graph of f(x) translated 11 units to the left.

When we have a function of the form g(x) = f(x - a), it represents a horizontal translation of the graph of f(x) by 'a' units to the right if 'a' is positive and to the left if 'a' is negative.

In this case, g(x) = f(x - 11), which means that the graph of f(x) is being translated 11 units to the right. However, the answer options do not include this specific transformation. The closest option is option C, which states that the graph of g(x) is translated 11 units to the left.

The graph of f(x) = x is a straight line passing through the origin with a slope of 1. If we apply the transformation g(x) = f(x - 11), it means that we are shifting the graph of f(x) 11 units to the right. This results in a new function g(x) that has the same shape and slope as f(x), but is shifted to the right by 11 units.

Therefore, the correct answer is C. It is the graph of f(x) translated 11 units to the left.

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Answer:

multiply by 1.07

Step-by-step explanation:

the 1 because he needs to pay 100% of the price and .07 because he needs to pay an extra 7% in tax

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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Answer:

7

Step-by-step explanation:

:)

The following sets of side dimensions could be combined to create a right triangle 6, 8, 13 is √3, √13, 4.

In the triangle, there are three angles: two acute angles and one 90-degree angle. The hypotenuse, perpendicular, and base are the terms used to describe the sides of a right-angled triangle.

The next choice shows the triangle's side length:

The point is,

The hypotenuse square of a right-angled triangle is equal to the sum of its squares on its other two sides, according to Pythagoras' Theorem.

Using Pythagoras' Theorem.

Use the formula:

a² + b² = c²

For 4, 8, 11

4, 8, 11

4² + 8² = 16 + 64 = 80

11² = 121

80 is not equal to 121 it cann ot form a right triangle

For 6, 8, 13

6² + 8² = 36 + 64 = 100

13² = 169

100 is equal to 169 - 69 can form a right triangle

For √3, √5, 8

(√3)² + (√5)² = 3 + 5 = 8

8² = 64

8 is equal to 64 cannot form a right triangle

For √3, √13, 4

(√3)² + (√13)² = 3 + 13 = 16

4² = 16

16 is equal to 16 can form a right triangle

In order to create a right triangle, one may utilise the following set of side measurements √3, √13 and 4 form a triangle.

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Answer: 1134.11

A=3.14*r^2

Step-by-step explanation:

Answer:

a ≈ 1134.11 cm2

Step-by-step explanation:

The formula:

\(a=\pi r^{2}\)

\(a=\pi (19)^{2} =361\pi\)

\(a=1134.11cm^{2}\)

Hope this helps

Answer:

H = V0y t - 1/2 g t^2     equation for vertical height of object with initial speed     (V0y = V0 sin theta)

If H is to be considered an absolute value from t = 0

h = H + 3 = V0y t - 1/2 g t^2  + 3  where h is height from ground

\(\huge\underline{\purple{\bold{your \: answer \: is \: in \: attachment}}}\)

The value of 'r' as a subject is \(r=\sqrt{\dfrac{v^2}{m^2g^2}-1}}\).

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

The expression will be solved as:-

\(v =mg \sqrt{1-r^2\)

Squaring on both sides.

\(v^2=m^2g^2(1-r^2)\)

\(\dfrac{v^2}{m^2g^2}=1-r^2\)

\(r=\sqrt{\dfrac{v^2}{m^2g^2}-1}}\).

Hence, the expression is  \(r=\sqrt{\dfrac{v^2}{m^2g^2}-1}}\).

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Answer:

The set operations are Union, Intersection and Complementation.

Step-by-step explanation:

Answer:

The cost of painting the curved surface of pillar is: 68.69

Step-by-step explanation:

Given that

Diameter of pillar = d = 50 cm

As the height is in meters and we have to find the cost in per square meter, we have to convert cm into meters.

So,

d = 50/100 = 0.50 m

Now the radius will be:

\(r = \frac{d}{2} = \frac{0.50}{2} = 0.25m\)

Also

Height = 3.5m

The curved surface area of cylinder is given by:

\(CSA = 2\pi rh\)

Putting the values

\(CSA = 2 * 3.14 * 0.25 * 3.5 = 5.495\ m^2\)

It is given that the cost per square meter is 12.50

The total cost for 5.495 m^2 will be: 12.50 * 5.495 = 68.6875

Rounding off to nearest hundredth: 68.69

Hence,

The cost of painting the curved surface of pillar is: 68.69

Answer:

no solutions

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

equation of blue line is y = x + 2 , in slope- intercept form

with slope m = 1

equation of red line is y = x - 3 , in slope- intercept form

with slope m = 1

• Parallel lines have equal slopes

then the blue and red lines are parallel.

the solution to the system is at the point of intersection of the 2 lines

since the lines are parallel then they do not intersect each other.

thus the system shown has no solution.

Answer:

162

Step-by-step explanation:

12²+6² ÷ 2

= 144 + 36 ÷ 2

= 144 + 18

= 162

The given logarithmic expression \(ln(x^5)\) can be expressed as 5*lnx.

so option (D) is correct.

What is a logarithmic expression?

A logarithmic equation is one that involves the logarithm of a variable-containing expression. To solve exponential equations, first, determine whether both sides of the equation can be written as powers of the same number.

The given logarithmic expression is \(ln(x^5)\)

Property of logarithms: \(ln(x^n) = nln(x)\)

So by using the above property, we can rewrite the given expression as

                           \(=ln(x^5)\\=5ln(x)\)

Hence, the given logarithmic expression \(ln(x^5)\) can be expressed as 5*lnx.

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Answer:

86x

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

There are 4 quarts in one gallon

It should be noted that the expression that can be used to identify the x-values for which f(x)>-2 will be -2 <= x <= 2. This is illustrated in the graph.

It should be noted that a graph is a diagram that is used to show the relationship that exists between the data presented or the information.

In this case, ut should be noted that the expression that can be used to identify the x-values for which f(x)>-2 will be -2 <= x <= 2. This is illustrated in the graph.

The graph is attached below.

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Answer:

S = {(3,p), (3,0), (4,q), (1,4)} is a set of ordered pairs, where the first element of each ordered pair is an integer and the second element is a variable. The set consists of four ordered pairs:

(3,p): The first element is 3 and the second element is p.

(3,0): The first element is 3 and the second element is 0.

(4,q): The first element is 4 and the second element is q.

(1,4): The first element is 1 and the second element is 4.