Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=8800(1.573)^x
y=8800(1.573)
x

If H equals 98 ft and the number of floors of the building is 7 then the unit rate will be 14 feet. ​

Define ratio:

Ratios are defined as the comparison between two or more quantities or things.

In this question, we will compare the height of the building with the number of floors it has.

We are given;

the height of building 'h' = 98 ft

Number of floors = 7 floors

Ao we can compare their ratios as follow

ratio = 98 feet / 7 floors

Now, in order to get the unit ratio. we will divide the numerator by the denominator.

Unit rate = 14 feet/floor

Thus, each floor of the building has a height of 14 feet.

If you need to learn more about unit rate click here:

https://brainly.com/question/4895463

#SPJ4

WE STILL HAVE TO FIND THE TWO UNKNOWNS FIRST. TO BE ABLE TO GET Z

x°+144°=180°(angles on a straight line)

x°=180°-144°

x=36°

y°+56°=180°(angles on a straight line)

y°=180°-56°

y=124°

z°+y°+x°=180°(sum of angles in a triangle)

z°+124°+36°=180°

z°=180°-124°-36°

z=20°

The linear function that contains the point (-4, -3) and is perpendicular to the line 4x + 5y = 15 is given by:

y = 5/4x + 2.

A linear function, in slope-intercept format, is modeled according to the following rule:

y = mx + b

In which:

When two lines are perpendicular, the multiplication of their slopes is of -1, hence, considering the line is perpendicular to 4x + 5y = 15, we have that:

5y = 15 - 4x

y = 3 - 4/5x

Then:

-4/5m = -1

m = 5/4

Hence the rule is:

y = 5/4x + b

When x = -4, y = -3, hence the intercept b is found replacing these points into the equation as follows:

-3 = 5/4(-4) + b

-3 = -5 + b

b = 2.

Hence the equation is:

y = 5/4x + 2.

Both perpendicular equations are graphed at the end of the answer.

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

#SPJ1

The probability of selecting a female student with long hair is 45%

Let there be a total of 100 students in the class

Since 60% of the students are female, therefore out of 100 students 60 will be female students

Now, out of these 60 students, 75% have long hair, As a result, = 75% of 60 = 45 female students will have long hair

Probability of selecting female student with long hair = Number of female students with long hair/ Total number of students in the class

= 45/100

So, there is a 0.45 or 45% chance that a female student with long hair is selected

Learn more about probability:

https://brainly.com/question/11234923

#SPJ1

Answer:

The scientific notation for 500000000000 is 5 × 1011

Step-by-step explanation:

The 11 is going to be a superscripts(meaning its going to be placed at the top right corner of the 10)

Answer:

θ = 110.61°

Step-by-step explanation:

It's not that hard :)

Let a = θ/3

Then sin a = 3/5 = 0.6

a = sin⁻¹(a) = 36.87°

=> θ/3 = 36.87°

θ = 3 x 36.87

θ = 110.61°

Answer:

[tex]t=d/r[/tex]

Step-by-step explanation:

Assuming you meant [tex]d=rt[/tex], dividing both sides by [tex]r[/tex] yields [tex]t=d/r[/tex].

The table has an average rate of change of 3

The table represents the given parameter

From the table, we have the following interval is given as

[3, 7]

This can be rewritten as

x = 3 to x = 7

From the attached table, we have

f(3) = 7

f(7) = 19

The average rate of change of the function is then calculated as

Rate = [f(b) - f(a)]/[b - a]

This gives

Rate = [19 - 7]/[7 - 3]

Evaluate

Rate = 3

Hence, the average rate of change is 3

Read more about average rate of change at

brainly.com/question/8728504

#SPJ1

Answer:

Step-by-step explanation:

Answer:

[tex]x + 8 \times 16 \\ 8 - 16 = 8[/tex]

The inequality that is not part of the system of inequalities that defines a polygonal convex set that includes all points in the interior of a square whose vertices are: A(4, 4), B(4, -4), C(-4, -4) and D(-4, 4) is y ≤ -4. This is option C

given data

A(4, 4)

B(4, -4)

C(-4, -4)

D(-4, 4)

Looking at the given points the coordinates we can see that:

x coordinates has points:

This is basically 4 and -4 which is represented as -4 ≤ x ≤ 4

y coordinates has points:

This is basically 4 and -4 which is represented as -4 ≤ y ≤ 4

The inequality that is different from the one listed above is in option C making it the correct option.

Read more on Inequalities here: https://brainly.com/question/17448505

#SPJ1

Answer: 3.825, 3.180, 3.090, 3.008

Step-by-step explanation:

Answer: 3.008, 3.09, 3.18, 3.825

Step-by-step explanation: Least to greatest just means smallest to largest.

the distance between the point H (- 2, 2) and point I (6, 2) is 8 units.

We are given the coordinates of the point as:

H = (- 2, 2)

I = (6, 2)

We need to find the distance between the two points.

We get that:

x₁ = - 2

y₁ = 2

x₂ = 6

y₂ = 2

Distance formula is given as:

Distance = √(y₂ - y₁)² + (x₂ - x₁)²

Substituting the values in the formula, we get that:

D = √(2 - 2)² + (6 + 2)²

D = √ 0² + 8²

D = √8²

D = 8 units.

Therefore, the distance between the point H (- 2, 2) and point I (6, 2) is 8 units.

Learn more about distance here:

https://brainly.com/question/7243416

#SPJ1

The distribution that x follow approximately is a Poisson distribution

Given that the the average number of Salmonellosis cases per month in Illinois is 2.56

We now find the approximate distribution of X :

If outcomes the random variable are occurring on a certain time period or in a certain space, then random variable is called Poisson random variable.

In our case, X is the monthly count of Salmonellosis food poisoning cases , so outcomes are occurring on time period of month and are discrete.

Hence distribution of X : the monthly count of Salmonellosis cases follows a Poisson distribution.

Learn more about Poisson distribution here:

https://brainly.com/question/28233470

#SPJ4

Answer:

-0.25 or -1/4

Step-by-step explanation:

y2-y1/x2-x1

8-7/-3-1

1/-4

-0.25

The addition according the place value is 12.39

The value of each digit in a number is known as place value. Every digit in a number has a distinct value depending on where it is located. The value of a digit depends on its location in the number, which might result in a number having two comparable digits with distinct values.

Place value refers to how much a digit is worth in relation to where it is in a number, such as the ones, tens, hundreds, and so on. For instance, 5 in 3458 has a place value of 5 tens, or 50. However, 5 thousands, or 5,000, is used to represent the place value of 5 in 5781. Understanding that a digit can have the same value regardless of where it appears in the number is crucial.

Given:

Eli used the place value strategy to add the numbers 4.69 and 7.7.

So, to add using place value strategy we use place value to break the addends into tens and ones.

Now, we add the tens and ones individually to find the whole sum.

So, breaking 4.69

at ones = 4

at tenth = 6

at hundredth = 9

In 7.7

at ones= 7

at tenth = 7

at hundredth = 0

Now, adding according to the place value

=(0 + 9 ) x 1/100 + (7 + 6) x 1/10 + (4 +7) x1

=9/100 + 13/10 + 11

=0.09 + 1.3 + 11

=12.39

Learn more about place value here:

https://brainly.com/question/1110759

#SPJ1

Answer:

-71

Step-by-step explanation:

−|62| is equal to -62, and -71 is less than -62.

Answer:

 3⁶

------

 4¹⁵

Step-by-step explanation:

(        4⁻³      )³

(  -------------  )

(   3⁻² × 4²   )

Switch numbers with negative exponents

(         3²     )³

(  -------------  )

(   4³ × 4²   )

(         9     )³

(  -------------  )

(   64 × 16  )

(       9         )³

(  -------------  )

  (   1024  )

Multiply 9 and 1024 by the 3rd power

    729  

 -------------  

1,073,741,824

Simplified would be:

 3⁶

------

 4¹⁵

I hope this helps!

The solution to the questions are

The general formula is given as

A = Pe^rt

In this case, we have

P = Initial number of people

r = rate

t = time

From the question, we have

P = 8

r = 12% = 0.12

So, we have

A = 8 * e^0.12t

This means that t = 5

So, we have

A = 8 * e^(0.12 * 5)

Evaluate

A = 15

This means that A = 3,700,00

So, we have

8 * e^0.12t = 3,700,00

Divide by 8

e^0.12t = 46250

Take the logarithm of both sides

0.12t = log(46250)

This gives

0.12t = 4.7

Divide

t = 39

Read more about continuous growth formula at

https://brainly.com/question/2993743

#SPJ1

53/300 is the probability that a randomly selected day in April will be snowy if it is cloudy​.

So,

The probability that day will be snowy and cloudy at random selection:

Therefore, 53/300 is the probability that a randomly selected day in April will be snowy if it is cloudy​.

Know more about probability here:

brainly.com/question/24756209

#SPJ9

Answer:

4 hours :)

Step-by-step explanation:

Lets multiply to solve :)

1 hr: 2 1/2

2 hrs: 5

3 hrs: 7 1/2

4 hrs: 10 hrs

it will take 4 hours to walk 10 miles :)

Have an amazing day!!

Please rate and mark brainliest!

IF THE SLOPE IS 0 IT MEANS THAT THERE IS NO CHANGE IN THE Y COORDINATE OF THE LINE.FOR ANY VALUE OF X GIVEN

THEREFORE THE EQUATION WILL BE

[tex]y = (0)( - 6) - 2 \\ y = - 2[/tex]

THE EQUATION IS

[tex]y = - 2[/tex]

HOPE THIS HELPS

Answer:

The slope-intercept form would be: y = 0x - 2

Answer:

[tex]\sf \dfrac{64}{343} \ cubic \ yard[/tex]

Step-by-step explanation:

      [tex]\sf \boxed{\bf Volume \ of \ cube =a^3}[/tex]

Here, a is the edge of the cube.

[tex]\sf a =\dfrac{4}{7} \ yard[/tex]

 [tex]\sf Volume \ of \ cube = \dfrac{4}{7}*\dfrac{4}{7}*\dfrac{4}{7}[/tex]

                          [tex]\sf =\dfrac{64}{343} \ cubic \ yard[/tex]

Check the picture below.

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ P(\stackrel{x_1}{1}~,~\stackrel{y_1}{2})\qquad Q(\stackrel{x_2}{3}~,~\stackrel{y_2}{3})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ PQ=\sqrt{(~~3 - 1~~)^2 + (~~3 - 2~~)^2} \implies PQ=\sqrt{( 2 )^2 + ( 1 )^2} \\\\\\ \implies PQ=\sqrt{ 4 + 1 } \implies PQ=\sqrt{ 5 }\implies PQ\approx 2.24[/tex]

Red ribbon is 77.34 much longer than brown ribbon.

To subtract in mathematics is to take something away from a group or a number of objects. The group's total number of items decreases or becomes lower when we subtract from it. The components of a subtraction issue are the minuend, subtrahend, and difference.

The difference is the name given to the solution to a subtraction issue.

Given Data

Natalie has a piece of red ribbon that is 79.39 inches long

a piece of brown ribbon that is 2.05 inches long

Difference of red ribbon from brown ribbon:

= 79.39 - 2.05

= 77.34

Red ribbon is 77.34 much longer than brown ribbon.

To learn more about subtraction, visit:

https://brainly.com/question/20348406

#SPJ9

The coordinates of point V is ( 15/2, and 11/2).

A line segment's midpoint is a point that divides the line segment across two equal sections. The midpoint of a line segment with coordinates at both ends X₁, Y₁ and  X₂, Y₂ is calculated using the:

According to the given information:

Point M has Coordinates (5, 6).

point U has coordinates (10, 5).

We know that to find the Midpoint of a Line Segment:

( X₁+X₂)/2  , (Y₁ +  Y₂ )/2

Now Putting the value in the formula;

MU = ( X₁+X₂)/2  , (Y₁ +  Y₂ )/2

      = (5 + 10)/2 , (6 + 5)/2

      = 15/ , 11/2

Therefore, The coordinates of point V ( 15/2, 11/2).

To know more about the Midpoint of a Line Segment visit:

https://brainly.com/question/28701848

#SPJ1

The coordinates of the point that is 2/4 the way from A to B are (1, 7).

The coordinates of the point that divides a segment into a fractional component, n (n+m), or an arbitrary ratio, n:m, are given by:

   x = [n ⁄ (n+m)] (x₂ - x₁) + x₁  and y = [n ⁄ (n+m)] (y₂ - y₁) + y₁

Given:

For this problem, n = 2 and m = 2 since (2 ⁄ (2+2) = 2 ⁄ 4,  ( x,₁ y₁) =(-2, 5) and ( x₂, y₂) = (4, 9)

Where n and m are both positive integers, [n (n+m)] is the required distance ratio from the beginning position, (x₁, y₁)  are the coordinates of one endpoint, and (x₂, y₂) are the coordinates of the other endpoint.

x = [n ⁄ (n+m)] (x2 - x1) + x1

  = (2/4 ) (4 - (-2)) + (-2)

  =  (2/4 ) (4 + 2) + (-2)

  = (2/4 ) × 6 + (-2)

  =  3 - 2 = 1

y = [n ⁄ (n+m)] (y2 - y1) + y1

  =  (2/4 ) (9 - 5) + 5

  =  (2/4 ) (4) + 5

   =  2 + 5 = 7

Therefore, the coordinates of the point are (1, 7).

To learn more about Segment Ratio Formula visit:

https://brainly.com/question/19339816

#SPJ9

There are 3 teaspoons in a tablespoon, 15 teaspoons to tablespoons using a ratio table and using a conversion factor will be total as 5 tablespoons.

The consistent relationship between two values is shown in a ratio table. A rate is a unique ratio that is used to compare two quantities with different units of measurement. There are various ways to examine a ratio table.

Equivalent ratios between two quantities are displayed in ratio tables. In order to find an equal ratio, you can make a ratio table by multiplying (or dividing) the quantities in the ratio by the same number.

You can use a ratio table to determine equal ratios and solve difficulties.

A conversion factor is a kind of number that is used to multiply or divide one set of units into another.

If any kind of a conversion is required, it must be done using the proper and correct conversion factor to get an identical value. For instance, 12 inches equals a total of one foot when converting between inches and feet.

To know more about conversion factor, visit:

https://brainly.com/question/28366871

#SPJ9