Select all the correct answers.
Compare the functions below.
\(f(x) = 3^{x} + 2\)
\(g(x) = 20x + 4\)
\(h(x) = 2x^{2} + 5x + 2\)

Select all true statements
A. A quantity increasing exponentially eventually exceeds a quantity growing quadratically or linearly.
B. When x > 4, the value of f(x) exceeds the values of both g(x) and h(x).
C. As x increases on the interval [0, ∞), the rate of change of g eventually exceeds the rate of change of both f and h.
D. Over the interval [2, 3], the average rate of change of g is lower than that of both f and h.
E. When x ≈ 8, the value of h(x) exceeds the values of both f(x) and g(x).
F. As x increases on the interval [0, ∞), the rate of change of f eventually exceeds the rate of change of both g and h.

The equation that represents a line that is perpendicular to the line represented by 2x - y = 7 is y = -1/2x + 6

The equation of a line in slope-intercept form is expressed as;

y = mx + b

where;

m is the slope

b is the y-intercept

For two lines to be perpendicular, the product of their slope must be -1

Given the equation 2x - y =7​

Rewrite

y = 2x - 7

The slope of the line is 2, the slope of the line perpendicular must be -1/2. Hence from the given option, the equation that represents a line that is perpendicular to the line represented by 2x - y = 7 is y = -1/2x + 6

Learn more on equation of a line here: https://brainly.com/question/13763238

#SPJ1

Answer:

250

Step-by-step explanation:

Answer:

Step-by-step explanation:

2) 133 + a = 180 {Linear pair}

            a = 180 - 133

           a = 47

a +b = 180   {linear pair}

47 + b = 180

      b = 180 - 47

      b = 133

x = b + 30   {Exterior angle property}

x = 133 +30

x = 163

3) m + 35+ 35 = 180 {Angle sum property of triangle}

m + 70 = 180

m = 180 - 70

m = 110

z = 35 {alternate interior angles are congruent}

x = m + z

x = 110 + 35

x = 145

An exponential function is a mathematical function in which the output of the function increases (or decreases) at a rate that is proportional to the current value of the output.

Exponential functions have an “asymptote”, which is a line that the graph approaches but never crosses. This asymptote is often a horizontal line, and it can be used to identify exponential functions.

To determine if a graph is an exponential function, look for a curve that rises or falls steeply and then levels off. The curve should be smooth and symmetrical, and the points should lie along a straight line when plotted on a logarithmic scale. The equation for the graph should also have an exponential form, such as y=ab^x. If these characteristics are present, then the graph is an exponential function.

Learn more about exponential function at : https://brainly.com/question/15352175

#SPJ4

On simplifying the given algebraic expression, we get -

(x¹⁰y²z)⁴ = (x⁴⁰y⁸z⁴).

An algebraic expression is a combination of terms, both constants and variables. For example, we can write the algebraic expressions as -

2x + 3y + z

4x + 5

Given is the algebraic expression as -

(x¹⁰y²z)⁴

The given expression is -

(x¹⁰y²z)⁴

We can simplify the given expression as -

(x¹⁰y²z)⁴ = (x¹⁰⁽⁴⁾y²⁽⁴⁾z⁴)

(x¹⁰y²z)⁴ = (x¹⁰⁽⁴⁾y²⁽⁴⁾z⁴)

(x¹⁰y²z)⁴ = (x⁴⁰y⁸z⁴)

Therefore, on simplifying the given algebraic expression, we get -

(x¹⁰y²z)⁴ = (x⁴⁰y⁸z⁴).

To solve more questions on simplifying expressions , visit the link below

https://brainly.com/question/403991

#SPJ1

Answer:

$137.33

Step-by-step explanation:

$115.78 + $15.00 = $130.78

$130.78 + $7.50 = $138.28

$138.28 - $35.90 = $102.33

$102.33 + $20.00 = $122.33

$122.33 + $15.00 = $137.33

Chow,...!

To be greater than a negative number, negative values need to be smaller as they get closer to zero.

The answer would be B) -5, -4.5, -3

Answer:

B

Step-by-step explanation:

This is because you could have a number greater of equal to -5, since b is the only one that has that it makes it true.

a) A department manager receiving an allocation of costs will care about management's methodology of overhead allocation because the overhead costs allocated to their department will have a direct impact on the department's profitability and cost efficiency.

b) The allocation base is the measure used to determine how much of the overhead costs should be allocated to a particular department or product, while the allocation rate is the amount of overhead costs allocated to each unit of the allocation base

c) Budgets are an important tool for cost planning, but their effectiveness depends on how well they are developed and implemented.

a) If the allocation method used by management is not accurate or fair, it could result in the department being burdened with more costs than they actually incur, which could affect their ability to meet their targets and objectives. It is, therefore, important for department managers to ensure that the allocation of costs is done fairly and accurately.

b) The allocation base and rate are important because they determine how the overhead costs are allocated to different departments or products.

Different allocation bases and rates can result in significantly different amounts of overhead costs being allocated to different departments or products, which can impact their profitability. While all of the overhead costs eventually make their way to the income statement, the allocation of these costs can have a significant impact on the accuracy of the income statement and the ability of the organization to make informed decisions.

c) Budgets can be helpful in providing a roadmap for achieving the organization's goals and objectives, but they need to be flexible enough to adapt to changing circumstances and priorities.

The budget(s) that are most important to the organization's success will depend on the nature of the organization and its objectives. However, typically the operating budget, capital budget, and cash budget are the most important budgets for most organizations.

The government's budget process is similar to the operating budgeting process described in the chapter in that it involves the development of a budget to allocate resources and achieve goals. However, the government's budget process is more complex and involves additional considerations such as political priorities and public opinion. Additionally, the government's budget process involves a more detailed review and approval process than the operating budgeting process.

To learn more about Budgets refer:-

https://brainly.com/question/31952035

#SPJ11

Answer:

The answers are down below

Step-by-step explanation:

<Y+V+<W=180°

<Y+97°+52=180

<Y+149=180

<Y=180-149

<Y=31°

3x=6

divide both sides by 3

3x/3=6/3

x=2

<VWY=<XYW

52°=>XWY(alternate angles)

<VYW=<XWY(alternate angles)

31°=XWY

<W=31+52=83°

<W+<X=180

83+<X=180

<X=180-83

<X=97°

The equivalent equation to the (x² - 5)² - 3x² + 15 = -2 in form of 'm' is given by option c.  m² -3m + 2 = 0.

The equation is equal to,

(x² - 5)² - 3x² + 15 = -2

let the value of m be equals to x² - 5.

Simplify the equation we have,

⇒ ( x² - 5 )² - 3x² + 15 = -2

Take '3' common factor from the 3x² + 15 so that it get convert into x² - 5 we get,

⇒ ( x² - 5 )² - 3 (x² - 5 )  = -2

Now replace x² - 5 by m to get the equivalent equation,

⇒ ( m )² - 3 (m ) = -2

⇒ m² -3m + 2 = 0

Therefore, the equivalent equation to the given equation is written as option c.  m² -3m + 2 = 0.

Learn more about equivalent here

brainly.com/question/16415525

#SPJ1

Answer:

8a+13b

Step-by-step explanation:

First start by multiplying the coefficient with the parantheses.

3(2a+3b)+2(a+2b)

6a+9b+2a+4b

8a+13b

This equation cannot be further simplified.

Answer:

6a+9b+2a+4b

6a+2a+9b+4b

8a+13b

Answer:

5/6-1/9=45/54-6/54=39/54.

Step-by-step explanation:

hey!

To make fractions have a common denominator, multiply both the numerator and denominator by the same number. For example, 5/6=45/54 because I multiplied 5 and 6 both by 9, and 1/9= 6/54 because I multiplied 1 and 9 by 6. This is the same for all fractions.

Hope this helped :)

Answer:

13/18

Reasoning:

First. We have to find the GCD

Second. Multiply both fractions with the number that creates the GCD

5/6 x 3/3 - 1/9 x 2/2 = 15/18 - 2/18

Third. Subtract 15/18 - 2/18 = 13/18

( Would appreciate if you marked me brainliest )

Answer:

0.53333333333

Step-by-step explanation:

pls give me brainlest

Answer:

8/15 or 0.5333

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

absolute value, if it's a negative number, will be positive. if it's a positive number, it will stay positive.

Answer:

My guess 4

Step-by-step explanation:

i used to do this stuff but i thinks its 4

Answer:

-8

Step-by-step explanation:

6-(-8)= 14

Answer:

x = -8

Step-by-step explanation:

I hope this helps!

The probability of the given security code is as follows:

C. 1/30,240.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is then calculated as the division of the number of desired outcomes by the number of total outcomes.

5 digits are taken from a set of 10, and the order is relevant, hence the total number of passwords is given as follows:

P(10,5) = 10!/(10 - 5)! = 30240.

Hence the probability is given as follows:

C. 1/30,240.

Learn more about the concept of probability at https://brainly.com/question/24756209

#SPJ1

Answer:

\(2.\overline {24}\) = 2\(\frac {8} {33}\) or D.

Step-by-step explanation:

2  is a whole number, so its \(\frac {2} {1}\) and \(0.\overline {24}\) is a repeating decimal, so that means we try to simplify it: \(\frac {24} {100}\)÷\(\frac {3} {1}\)=\(\frac {24} {100}\)·\(\frac {1} {3}\)=\(\frac {8} {33}\)

a. fy interacts well with vector addition and scalar multiplication, satisfying the properties of linearity. Therefore, fy is a linear function. b. the 1 x n matrix representation of fv is [ v1, v2, ..., vn ].

(a) To show that fy is linear, we need to demonstrate that it interacts well with vector addition and scalar multiplication. Let's consider two vectors u and w in R^n and a scalar c.

First, let's evaluate fy(u + w):

fy(u + w) = v · (u + w)

Expanding this expression:

fy(u + w) = v · u + v · w

Now, let's evaluate fy(cu):

fy(cu) = v · (cu)

Expanding this expression:

fy(cu) = c(v · u)

We can see that fy(u + w) = fy(u) + fy(w) and fy(cu) = c * fy(u). Thus, fy interacts well with vector addition and scalar multiplication, satisfying the properties of linearity. Therefore, fy is a linear function.

(b) To find the 1 x n matrix representation of fv, we need to express the function fv(x) = v · x in terms of matrix notation. In this case, the matrix representation will have 1 row and n columns.

Let's write v = [v1, v2, ..., vn] as the vector and x = [x1, x2, ..., xn] as the variable vector.

Then, fv(x) = v · x can be represented using matrix notation as follows:

fv(x) = [v1, v2, ..., vn] · [x1, x2, ..., xn]

The dot product of v and x can be computed as the sum of the element-wise multiplication of the corresponding entries:

fv(x) = v1x1 + v2x2 + ... + vnxn

Therefore, the 1 x n matrix representation of fv is:

[ v1, v2, ..., vn ]

The entries of the matrix are simply the elements of the vector v. Each entry in the matrix corresponds to the coefficient of the variable in the linear combination of x that defines fv(x).

In summary, the 1 x n matrix representation of fv is [ v1, v2, ..., vn ].

Learn more about linear function here

https://brainly.com/question/2248255

#SPJ11

Answer:

SEE BELOW

Step-by-step explanation:

INTERRIOR ANGLES

3.

∠A + ∠B + ∠C = 180

(180 - 103) + (3x - 14) + (3x + 9) = 180

6x = 180 - 77 + 14 - 9

x = 108 / 6

x = 18

m∠ACB = (3x - 14)

             = 3(18) - 14

             = 40

m∠ABC = (3x + 9)

              = 3(18) + 9

              = 63

-------------------------------

INTERRIOR ANGLES

4.

∠A + ∠B + ∠C = 180

(180 - 97) + (2x + 2) + (14x - 1) = 180

16x = 180 - 83 - 2 + 1

x = 96 / 16

x = 6

m∠BCA = 2x + 2

             = 2(6) + 2

             = 14

m∠ABC = 14x - 1

             = 14(6) - 1

             = 83

-------------------------------

EXTERIOR ANGLES

5.

∠B

180 - 15x + 20

15x = 180 + 20

   x = 200/15

   x = 13.33

∠C

180 - 9x + 10  

9x = 190

 x = 190/9

 x = 21.11

∠E

180 - 17x + 2

17x = 182

  x = 182/17

  x = 10.706

m∠BEF = 17x + 2

             = 17 (10.706) + 2

             = 184

m∠ABC = 15x + 20

             = 15(15.33) + 20

             = 220

-------------------------------

EXTERIOR ANGLES

6.

first solve x by adding all the interior angles = 180

∠B + ∠E + ∠C = 180

2x + x + 93 = 180

3x = 180 - 93

x = 87/2

x = 43.5

m∠BEC = 360 - x

             = 360 - 43.5

             = 316.5

m∠ABC = 180 - 2x

             = 180 - 2(43.5)

             = 93

The standard deviation of a point estimator is a measure of the variability or precision of the estimator.

In statistics, a point estimator is a function that uses sample data to estimate an unknown parameter of a population. The standard deviation of a point estimator quantifies how much the estimates from different samples are expected to deviate from the true value of the parameter. A smaller standard deviation indicates a more precise estimator, as the estimates are expected to be closer to the true value. Conversely, a larger standard deviation suggests a less precise estimator with estimates that are more spread out. By calculating the standard deviation of a point estimator, we can assess its reliability and determine the level of confidence we can have in the estimated parameter value.

Learn more about standard deviation here

brainly.com/question/29758680

#SPJ11

What is the definition or meaning of the standard deviation of a point estimator?

Answer:

First, convert minutes and seconds to their degree equivalents and add the results. 25'/60 = 0.4167° 30"/3600 = .0083° ...

Then, add this number to the number of degrees. 39° + 0.425° = 39.425°

So, the final result is: 39° 25' 30" = 39.425°

Step-by-step explanation:

HOPE IT HELPSSS

The joint probability mass function of x and y, where x is the largest value obtained on any die and y is the sum of the values, can be calculated by considering the possible outcomes of rolling two dice.

Let X be the maximum value obtained on any die and Y be the sum of the values. There are 36 possible outcomes when rolling two dice. Out of these, there are 6 outcomes where X = 1, 10 outcomes where X = 2, 8 outcomes where X = 3, 6 outcomes where X = 4, 4 outcomes where X = 5, and 2 outcomes where X = 6. The sum of the values on the dice (Y) can be determined for each outcome. The joint probability mass function of X and Y is then the probability of each outcome occurring, which is 1/36 for each outcome.

To find the marginal probability mass function of X, we simply sum the joint probability mass function over all values of Y. This gives us the probability of each possible value of X occurring, regardless of the value of Y. So, the marginal probability mass function of X is given by P(X=x) = sum(P(X=x,Y=y) for all values of y).

Learn more about probability here: brainly.com/question/32203921

#SPJ11

Answer:

Make a point P that will be the vertex of the new angle.

From P, draw a ray PQ. ...

Place the compasses on point A, set to any convenient width.

Draw an arc across both sides of the angle, creating the points J and K as shown.

Step-by-step explanation:

These are the steps to copying an angle

I hope this helps you :)

Answer:

make a point p

hope this helps

Answer:b

Step-by-step explanation:

well, its just area ez. 3.8x3.8=14.44

Answer:

14.44ft^2

Step-by-step explanation:

3.8ft x 3.8ft

Answer:

Step-by-step explanation:

4x - 7 = 8

What is the value of x? Show your working.

4x - 7 = 8

4x = 8 + 7

4x = 15

x = 15 : 4

x = 3.75

or

x = 3 3/4

--------------------

check

4 * 3.75 - 7 = 8

15 - 7 = 8

8 = 8

the answer is good

Answer:

15/4 (or) 3.75

Step-by-step explanation:

Let's find the required value of x,

→ 4x - 7 = 8

→ 4x = 8 + 7

→ 4x = 15

→ x = 15/4

→ [ x = 3.75 ]

Therefore, the value of x is 3.75.

The area of the rug when Erin and Frannie entered a rug design contest is 1440 inches².

It should be noted that from the information, Erin and Frannie entered a rug design contest. Their rug’s dimensions are 32 inches × 45 inches and it's rectangular.

It should be noted that the area of a rectangle is calculated as:

= Length × Width

Therefore, the area of the rug will be:

= Length × Width

= 45 inches × 32 inches

= 1440 inches²

Therefore, the area of the rug when Erin and Frannie entered a rug design contest is 1440 inches².

Learn more about area on:

brainly.com/question/25292087

#SPJ1

Answer: 550

Step-by-step explanation:

122x2=244

153x2=306

550