I'm quite confused on what I'm supposed to do here.

Hence, the graph of g is upward than the graph of f.

Functions are often defined by a formula that describes a combination of arithmetic operations and previously defined functions; such a formula allows computing the value of the function from the value of any element of the domain.

Here given that,

The functions are

f(x) = 2^x

g(x) = f(x) + 6

so, g(x) = 2^x + 6

Draw the graphs of both the equation

The graph of the g is differ from f because in the graph of g it is upward than the graph of f .

Hence, the graph of g is upward than the graph of .

To know more about the function

brainly.com/question/10500042

#SPJ1

We kindly invite to see the image attached below to know the representation of the parabola according to its features.

A parabola is the graphic representation of any quadratic equation, that is, a polynomial of the form y = a · x² + b · x + c, where a, b, c are real coefficients. An alternative presentation is the vertex form:

y - k = C · (x - h)²

Where:

The procedure to sketch the parabola according to its features is described below:

Step 1 - Determine the y-intercept:

y = 6 · 0² - 17 · 0 + 12

y = 12

Step 2 - Determine the x-intercepts.

6 · x² - 17 · x + 12 = 0

6 · [x² - (17 / 6) · x + 2] = 0

6 · (x - 3 / 2) · (x - 4 / 3) = 0

x = 3 / 2 or x = 4 / 3

Step 3 - Determine the coordinates of the vertex:

y = 6 · x² - 17 · x + 12

y = 6 · [x² - (17 / 6) · x + 2]

y + 6 · (1 / 144) = 6 · [x² - (17 / 6) · x + 2 + 1 / 144]

y + 1 / 24 = 6 · [x² - (17 / 6) · x + 289 / 144]

y + 1 / 24 = 6 · (x - 17 / 12)²

(h, k) = (17 / 12, - 1 / 24)

Steps 4 & 5 - Add the points on Cartesian plane and match the resulting curve.

To learn more on quadratic equations: https://brainly.com/question/29269455

#SPJ1

The probability of the event between two and five lines, inclusive, are in use is 0.85.

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

Given that,

x         0         1         2       3        4         5         6

p(x)   0.12    0.18   0.20  0.20  0.20   0.07   0.03

a) At most three lines are in use

Here we need to find the probability for x≤3.

P(x≤3)=P(x=0)+P(x=1)+P(x=2)+P(x=3)

= 0.12+0.18+0.20+0.20

= 0.70

b) Fewer than three lines are in use

Here we need to find the probability for x<3.

P(x<3)=P(x=0)+P(x=1)+P(x=2)

= 0.12+0.18+0.20

= 0.50

c) At least three lines are in use

Here we need to find the probability for x≥3.

P(x≥3)=P(x=3)+P(x=4)+P(x=5)+P(x=6)

= 0.20+0.20+0.07+0.03

= 0.50

d) Between two and five lines, inclusive, are in use

Here we need to find the probability for 2≤x≤5.

P(2≤x≤5)= P(x=2)+P(x=3)+P(x=4)+P(x=5)

= 0.18+0.20+0.20+0.20+0.07

= 0.85

Therefore, the probability of the event between two and five lines, inclusive, are in use is 0.85.

To learn more about the probability visit:

https://brainly.com/question/11234923.

#SPJ1

Answer:

x= −1088

Step-by-step explanation:

Answer:

-1088

Step-by-step explanation:

-17      =    x/64

*64           *64

-1088 = x

The area of the ENTIRE rectangle would be: Area = Base * Height

I think you can see that the triangle is 1/2 of the rectangle. so the

    The area of the right triangle would be: Area = 1/2 * base * height

if the area of the triangle is 18 square inches, then h = 2(18)/6 = 6 inches.

If the base, b, is 6 inches, and the area, A, is 18 square inches, then the height, h, of the triangle is 6 inches.

Triangle is a three-sided geometric shape that has three angles and three sides. The three sides of a triangle are typically referred to as the base, the height, and the hypotenuse. A triangle can be classified as either right, obtuse, or acute depending on the measure of its angles. Right triangles have one right angle, obtuse triangles have one obtuse angle, and acute triangles have three acute angles.

The area of a right triangle can be found by using the formula A=1/2bh, where b is the base of the triangle and h is the height. In this example, the base, b, is 6 inches. To find the height, h, we can solve the equation for h: h = 2A/b, where A is the area of the triangle.

Therefore, if we know the area of the triangle, A, we can find the height, h, of the triangle by plugging in the values and solving for h. For example, if the area of the triangle is 18 square inches, then h = 2(18)/6 = 6 inches.

The area of a right triangle can be found by using the formula A=1/2bh and plugging in the known values of b and h. In this example, if the base, b, is 6 inches, and the area, A, is 18 square inches, then the height, h, of the triangle is 6 inches.

To know more about triangles click-

brainly.com/question/17335144

#SPJ1

Answer:

graph linked

Step-by-step explanation:

Answer:

x ≈ 2.7 m

Step-by-step explanation:

since the 2 triangles are similar then the ratios of corresponding sides are in proportion, that is

[tex]\frac{x}{1.6}[/tex] = [tex]\frac{4}{2.4}[/tex] ( cross- multiply )

2.4x = 4 × 1.6 = 6.4 ( divide both sides by 2.4 )

x = [tex]\frac{6.4}{2.4}[/tex] = 2.6666...

height of statue x ≈ 2.7 m ( to 1 decimal place )

A fraction of [tex]\frac{1}{7}[/tex] of all the vegetables are potatoes.

If there are 70 vegetables altogether, then there are 10 potatoes.

Fractions are type of numbers which are written in the form p/q, which implies that p parts in a whole of q.

Here p, called the numerator and q, called the denominator, are real numbers.

Some of the values are missing here.

Given that,

Aziz grows vegetables in his garden.

Let the total number of vegetables be x.

Assuming [tex]\frac{1}{2}[/tex] of the vegetables grow underground.

Number of underground vegetables =  [tex]\frac{1}{2}[/tex] x

Assuming,  [tex]\frac{2}{7}[/tex] of these underground vegetables, are potatoes.

Number of potatoes = [tex]\frac{2}{7}[/tex] × ( [tex]\frac{1}{2}[/tex] x ) = [tex]\frac{1}{7}[/tex] x

So, [tex]\frac{1}{7}[/tex] of all the vegetables are potatoes.

If there are 70 vegetables altogether,

Number of potatoes = [tex]\frac{1}{7}[/tex] x =  [tex]\frac{1}{7}[/tex] × 70 = 10

Hence of the total vegetables of 70, 10 are potatoes.

Learn more about Fractions here :

https://brainly.com/question/30376721

#SPJ9

In the parallelogram ABCD the measure of ∠BEC is obtained as 113°.

What is a parallelogram?

A quadrilateral with two sets of parallel sides is referred to as a parallelogram. In a parallelogram, the opposing sides are of equal length, and the opposing angles are of equal size. Additionally, the interior angles that are additional to the transversal on the same side.

It is given that ABCD is a parallelogram.

The measure of ∠EAD = 30°.

The measure of ∠EDA = 37°.

In the parallelogram ∠EBC = ∠EDA as they form alternate interior angles pair.

Similarly, ∠ECB = ∠EAD as they form alternate interior angles pair.

The measure of ∠ECB = 30°.

The measure of ∠EBC = 37°.

Since EBC forms a triangle, so the sum of the angles of a triangle is 180°.

The equation is -

∠ECB + ∠EBC + ∠BEC = 180°

Substitute the values into the equation -

30° + 37° + ∠BEC = 180°

67° + ∠BEC = 180°

∠BEC = 180° - 67°

∠BEC = 113°

Therefore, the measure of ∠BEC = 113°.

To learn more about parallelogram from the given link

https://brainly.com/question/3050890

#SPJ1

Answer:

Step-by-step explanation:

To solve the equation (-1)/(x-5) = 2/(x+4), we can start by cross-multiplying:

(-1)(x+4) = 2(x-5)

Expanding both sides and simplifying, we get:

-x - 4 = 2x - 10

Bringing all the x terms to one side and all the constant terms to the other, we get:

3x = 6

Dividing both sides by 3, we get:

x = 2

So the solution to the equation is x = 2. However, we need to check if this value of x makes the denominators of the original equation non-zero. Plugging x = 2 into the original equation, we get:

(-1)/(2-5) = 2/(2+4)

Simplifying, we get:

1/3 = 1/3

Since both sides are equal, the solution x = 2 satisfies the original equation. Therefore, the only solution to the equation is x = 2.

Answer: x = 2

Step-by-step explanation:

    [tex]\boldsymbol{\sf{The\:exercise\:is \longmapsto \ \dfrac{-1}{x-5}=\dfrac{2}{x+4} }}[/tex]

We cross multiply.

     -(x + 4) = 2(x - 5)

We apply the multiplicative law of distribution.

       -x -4 = 2(x - 5)

       -x - 4 = 2x - 10

We rearrange the unknown terms to the left side of the equation.

       -x - 2x = -10 + 4  <===Combine as terms===> -3x = -10 + 4

We calculate -10 + 4 = -6.

       -3x = -6

We divide both sides of the equation by the coefficient of the variable.

       [tex]\boldsymbol{\sf{x=\dfrac{-6}{-3} \iff \ x=\dfrac{6}{3} }}[/tex]

      x = 2

In the case of 9 x 9, using the Commutative Property, we can rewrite it as 9 x 9 = 9 x 9. The product of these two factors is 81, which is the same regardless of the order of the factors.

The Commutative Property of Multiplication is one of the fundamental properties of arithmetic. It states that the order of the factors in a multiplication expression does not affect the product. In other words, you can multiply two numbers in any order and still get the same result.

For example, if you have the multiplication expression 2 x 5, you can switch the order of the factors and write it as 5 x 2, and the result is still the same:

2 x 5 = 5 x 2 = 10

Similarly, for the expression 3 x 4, you can switch the order of the factors and write it as 4 x 3, and the result is still the same:

3 x 4 = 4 x 3 = 12

The Commutative Property is a fundamental property of multiplication, and it is used in many mathematical operations, including simplifying expressions, solving equations, and more.

To know more about Commutative Property, visit:

brainly.com/question/778086

#SPJ1

At the Culver City Trampoline Park, customers leave their shoes in cubbies shaped like rectangular prisms while they jump. Each cubby is 11 inches deep, 6 inches tall, and has a volume of 396 cubic inches. So, each cubby is 6 inch wide.

Three-dimensional space is quantified by volume. It is frequently expressed as a numerical value using SI-derived units, other imperial units, or American customary units. 

Every object in three dimensions takes up that space. The volume of that kind of area is the one being measured. The area covered by such an object's boundaries in three-dimensional space generally said to as the volume. Other term for it would be an object's capacity.

Given that,

Each cubby is 11 inches deep,

6 inches tall, and

has a volume of 396 cubic inches.

Volume of rectangular prism = L × W × h

or, 396 = 11 × W × 6

or, W = 396 / 66

or, W = 6 inch

Thus, each cubby is 6 inch wide.

To know more about rectangular prisms refer to:

https://brainly.com/question/477459

#SPJ1

The correct calculation of the average is given as 0.2546

The average is a measure of central tendency that represents the typical value in a set of data. It is also known as the arithmetic mean and is calculated by adding up all the values in a set of data and then dividing the sum by the total number of values in the set.

The calculation of the average would be gotten by the number of hits / by the total bats that he had

This is given as

151 / 593

= 0.2546

Read more on average here:https://brainly.com/question/20118982

#SPJ1

The equation and solution to find the length of mis teak wood piece is x/3=8 and 24;

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas;

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely;

We are given:

The length of oak wood is 8inches

Teak wood/3= oak wood

So,

Let the length of teak wood be x;

Now,

x/3=8

x=3x8

x=24

Therefore, by algebra the length of teak wood will be 24;

To know more about the Algebra visit;

brainly.com/question/953809

#SPJ1

The equivalent fractions are A = { 100 / 20 , 150 / 30 }

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

Given data ,

Let the fractions be represented as A

Now , the value of A is

A = 50/10

On simplifying , the fraction , we get

The value of A = 5/1

Now , the equivalent fractions of A are

Multiply the numerator and denominator of the fraction by 2 , we get

A = 100/20

Multiply the numerator and denominator of the fraction by 3 , we get

A = 150/30

Hence , the equivalent fractions are 5/1 , 100/20 and 150/30

To learn more about fractions click :

https://brainly.com/question/29766013

#SPJ9

The composite function (fg)(0) has a value of -4

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

The graph

Also, we have

(fg)(0)

The notation (fg)(x) represents the composite function of two functions f(x) and g(x), where one function is applied to the result of the other function.

The formula for (fg)(x) is:

(fg)(x) = f(g(x))

So, we have

(fg)(0) = f(g(0))

This gives

(fg)(0) = f(3)

(fg)(0) = -4

Hence, the value is -4

Read more about composite function at

https://brainly.com/question/10687170

#SPJ1

a) The linear function is defined as follows: y = 1 - 0.2x.

b) The slope and the intercepts are interpreted as follows:

c) The battery power is at 75% after 1.25 hours.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

The graph touches the y-axis at y = 1, hence the intercept b is given as follows:

b = 1.

From the x-intercept, when x increases by 5, y decays by 1, hence the slope is given as follows:

m = -1/5

m = -0.2.

Hence the function is:

y = -0.2x + 1.

The battery power is of 75% = 0.75 when y = 0.75, as follows:

0.75 = -0.2x + 1

0.2x = 0.25

x = 0.25/0.2

x = 1.25 hours.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

the x-intercepts will be -π/2, -3π/2,  π/2, 3π/2.

What is Trigonometric Functions?

Trigonometry uses six fundamental trigonometric operations. Trigonometric ratios describe these operations. The sine function, cosine function, secant function, co-secant function, tangent function, and co-tangent function are the six fundamental trigonometric functions. The ratio of sides of a right-angled triangle is the basis for trigonometric functions and identities. Using trigonometric formulas, the sine, cosine, tangent, secant, and cotangent values are calculated for the perpendicular side, hypotenuse, and base of a right triangle.

The x-intercepts are locations on the coordinate plane where the y-value of the ordered pair is 0.

y = cos(x)

so the x-intercepts will be -π/2, -3π/2,  π/2, 3π/2.

Learn more about  Trigonometric Functions, by the following link.

brainly.com/question/24349828

#SPJ1

a. The exact value of tan(cos⁻¹(-16/19)) in simplified radical form is -3/16.

b. sin⁻¹(tan(2π/3)) is undefined and does not have an answer.

a. We know that cos(cos⁻¹(x)) = x and hence cos(cos⁻¹(-16/19)) = -16/19.

Let θ = cos⁻¹(-16/19), then we have

cos(θ) = -16/19 and

sin(θ) = √(1 - cos²(θ))

= √(1 - (16/19)²)

= 3/19 (using the Pythagorean identity).

Now, we can use the identity tan(θ) = sin(θ)/cos(θ) to find the value of tan(cos⁻¹(-16/19)):

tan(cos⁻¹(-16/19))

= sin(θ)/cos(θ)

= (3/19) / (-16/19)

= -3/16.

Therefore, the exact value of tan(cos⁻¹(-16/19)) is -3/16 in simplified radical form.

b. The range of the function tan(x) is (-∞, ∞), which means that it can take any value. However, the range of the function sin⁻¹(x) is [-π/2, π/2], which means that it can only take values between -π/2 and π/2. In particular, sin⁻¹(x) is not defined for |x| > 1, since there is no angle whose sine is greater than 1 or less than -1.

Let's consider sin⁻¹(tan(2π/3)). We know that tan(2π/3) is undefined, since the tangent function has vertical asymptotes at odd multiples of π/2 (including 2π/3).

Therefore, sin⁻¹(tan(2π/3)) is also undefined and does not have an answer.

Learn more on trigonometry identities here https://brainly.com/question/24496175

#SPJ1

Answer: To find the percent increase in population, I used the following formula:

percent increase = (new value - old value) / old value * 100

In this case, the old value was the population from a decade ago (4360), and the new value was the current population (6590). So plugging these values into the formula, we get:

percent increase = (6590 - 4360) / 4360 * 100

percent increase = 51.38%

So the population of Placerville increased by approximately 51.38% over the past decade. The population of Placerville has increased by (6590 - 4360) = 2230 people over the past decade.

Step-by-step explanation:

Answer:

Using the ratio given, we know that for every 5 colored pencils, there are 2 markers in each box.

Therefore:

The first blank represents the number of colored pencils in the box. Since the ratio of colored pencils to markers is 5 to 2, we can calculate that there are 5 colored pencils for every 2 markers. This means that for each box, there are 5/7 of the total number of items are colored pencils. So the missing value in the first row is 35.

The second row indicates that there are 20 items in the box. We know that the first row (colored pencils) has 35 items, and since the total number of items in the box is 20, the missing value in the second row (markers) is 20 - 35/7 = 15.

The third row represents the total number of colored pencils and markers in each box. We know that there are 35 colored pencils and 15 markers in each box, so the total number of items in each box is 50.

Therefore, the completed table would be:

Boxes for sale

||||||||||||||||||||||||||||||||||||||||||

Number of Colored | 35 | 20 | 35 |

Pencils | | | |

||||||||||||||||||||||||||||||||||||||||||

Number of Markers | 6 | 15 | 6 |

| | | |

Total Number of ||||||||||||||||||||||||||||||||||||||||||||

Colored Pencils and | 41 | 35 | 50 |

Markers in the Box |||||||||||||||||||||||||||||||||||||||||||||​

Substituting this expression for BD into the area formula, we get:b

1/2 * 10 * (4z/5) = 1/2 * z * 8

Simplifying and solving for z, we get:

20z/25 = 4z

16z = 100

z = 6.25

Therefore, the value of z is 6.25.

A triangle is a closed geometric figure that is formed by connecting three straight line segments called sides. These sides meet at three points called vertices. Triangles are one of the simplest and most fundamental shapes in geometry and can be found in many natural and man-made objects.

Triangles can be classified into different types based on their sides and angles.

By sides:

Equilateral triangle: all three sides are equal in length.

Isosceles triangle: two sides are equal in length.

Scalene triangle: all three sides are different in length.

By angles:

Acute triangle: all three angles are acute (less than 90 degrees).

Right triangle: one angle is a right angle (exactly 90 degrees).

Obtuse triangle: one angle is an obtuse angle (greater than 90 degrees).

Triangles have many properties and are used in various fields such as architecture, engineering, physics, and mathematics. They are also commonly used in trigonometry to solve problems involving angles and distances.

We can use the Pythagorean theorem to find the value of z:

[tex]AC^2 = AD^2 + DC^2[/tex]

Since BD is perpendicular to AC, we know that DC = BC. We can also use the fact that AB and BD are altitudes of triangle ABC to find the area of the triangle in two different ways:

Area of triangle ABC = 1/2 * AB * BD = 1/2 * AC * AD

Substituting the given values, we get:

1/2 * 10 * BD = 1/2 * z * 8

Simplifying this equation, we get:

BD = 4z/5

Substituting this expression for BD into the area formula, we get:b

1/2 * 10 * (4z/5) = 1/2 * z * 8

Simplifying and solving for z, we get:

20z/25 = 4z

16z = 100

z = 6.25

Therefore, the value of z is 6.25.

To know more about expression visit:

brainly.com/question/24242989

#SPJ1

The greatest distance, in feet, a person could be from the lamp and be detected is: B. 12 ft

The equation (x+16)² + (y-13)² = 36 describes a circle with center (-16,13) and radius 6. The motion detector on the lamp post can detect motion within this circle.

To find the greatest distance a person could be from the lamp and still be detected, we need to find the diameter of the circle, which is equal to twice the radius. Therefore, the greatest distance a person could be from the lamp and still be detected is 2(6) = 12 feet.

Therefore, the correct answer is B) 12 ft.

Learn more about distance here:https://brainly.com/question/26550516

#SPJ1

Answer: 48%

Step-by-step explanation:

Answer:

The solution is 1/8

Step-by-step explanation:

[tex] \sf \displaystyle \lim_{x \to 16}  \sf \frac{ \sqrt{x} - 4 }{x - 16} \\ \\ \sf {a}^{2} - {b}^{2} = (a - b) (a + b)\\ \\ \sf \displaystyle \lim_{x \to 16}  \sf \frac{ \sqrt{x} - 4 }{( \sqrt{x} - 4) \times ( \sqrt{x} + 4)} \\ \\ \sf \displaystyle \lim_{x \to 16}  \sf \frac{ \cancel{\sqrt{x} - 4} }{(\cancel{ \sqrt{x} - 4) }\times ( \sqrt{x} + 4)} \\ \\ \sf \displaystyle \lim_{x \to 16}  \sf \frac{1}{ \sqrt{x} + 4} \\ \\ \sf \frac{1}{ \sqrt{16} + 4} \\ \\ \sf \frac{1}{ 4 + 4} \\ \\ \sf \frac{1}{8} [/tex]

The maximum height of the ball from the maximum compression of the spring is 13.39 m

Maximum height is the highest displacement of the object.

Since a spring of spring constant 504 N/m is compressed 7.66 cm by a ball of mass 11.2 g. If the ball is shot straight into the air, we desire the maximum height of the ball.

Using the law of conservation of energy, the elastic potential energy lost by the spring, E equals the gravitational potential energy gained by the ball, E'

So, E = E'

1/2kx² = mgh where

Making h subject of the formula, we have that

h = kx²/2mg

So, substituting the values of the variables into the equation, we have that

h = kx²/2mg

h = 504 N/m × (0.0766 m)²/(2 × 0.0112 kg × 9.8 m/s²)

= 504 N/m × 0.00586756 m²/(2 × 0.0112 kg × 9.8 m/s²)

= 2.95725024 Nm/(0.21952 kgm/s²)

= 13.47 m

So, the maximum height from the springs compression is H = h - x = 13.47 - 0.0766 m

= 13.3934 m

≅ 13.39 m

So, the maximum height is 13.39 m

Learn more about maximum height of the ball on spring here:

https://brainly.com/question/28958177

#SPJ1

Answer:

help with what?

Step-by-step explanation:

you did not ask a question?

good luck....

The x and y values are x=5 and y= -2

What is the solution to an equation?

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.

y=4x-22 ----(1)

2x+3y=4------(2)

Substitute (1) into (2)

=> 2x+3(4x-22)=4

=> 2x+12x-66 = 4

=> 14x = 4+66

=> 14x = 70

=> x=70/14 = 5

(1) => y=4*5-22 = 20 - 22 = -2

So, the x and y values are x=5 and y= -2

To learn more about the solution of an equation from the given link

https://brainly.com/question/22688504

#SPJ1

Answer: 480

Step-by-step explanation:

20 times 24 is 480

Answer: 17:20pm

Step-by-step explanation: If you add 24 minutes to 14:46, that gives you 15:20pm. Add the 2 hours. So your answer is 17:20pm