what is the percent rate of change in function y = (0.98) ^ x? determine whether the function represents exponential growth or exponential decay​

Answer:

200 ft^2

Step-by-step explanation:

The surface area of the pyramid is the sum of the area of the base and the areas of the 4 congruent triangular sides.

SA = LW + 4 * bh/2

SA = 10 ft * 10 ft + 4 * (10 ft)(5 ft)/2

SA = 100 ft^2 + 2(50 ft^2)

SA = 200 ft^2

(P.S. It's impossible to make a pyramid with these dimensions.)

Answer:

\(\boxed{\sf 200 \ feet^2}\)

Step-by-step explanation:

The 3D shape is a square-based pyramid.

The surface area of a square-based pyramid is given as:

\(\sf SA=2 \times (base \ length) \times (slant \ height) + (base \ length)^2\)

Plug in the values.

\(\sf SA=2 \times 10 \times 5 + 10^2\)

\(\sf SA=100 + 100\)

\(\sf SA=200\)

Answer:

1,980.25cm^2

Step-by-step explanation:

445mm=44.5cm
44.5^2=1,980.25

To find the distance across a small lake, a surveyor has taken the measurements shown, the distance across the lake using this information is approximately 158.6 feet.

To determine the distance across the small lake, we will use the Pythagorean Theorem. The theorem is expressed as a²+b²=c², where a and b are the lengths of the legs of a right triangle and c is the length of the hypotenuse.To apply this formula to our problem, we will label the shorter leg of the triangle as a, the longer leg as b, and the hypotenuse as c.

Therefore, we have:a = 105 ft. b = 120 ftc = ?

We will now substitute the given values into the formula:105² + 120² = c²11025 + 14400 = c²25425 = c²√(25425) = √(c²)158.6 ≈ c.

Therefore, the distance across the small lake is approximately 158.6 feet.

Learn more about Pythagorean Theorem at:

https://brainly.com/question/11528638

#SPJ11

Answer:

393 + 39√6

Step-by-step explanation:

√639 + (393)

Simplify

393 + 39√6 (Answer)

Microsoft Rewards

Earn Gift Cards using Microsoft Rewards by searching daily and completing daily tasks.

The probability is 5/32.

Simply put, the probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

To roll exactly 4 odds out of 5 rolls is \((\frac{1}{2} )^{4}\frac{1}{2}\)  where the odds are 1, 3, and 5 for 3/6=1/2 and the other 1/2 is the probability of rolling an even since we want exactly 4 odds.

Since there are 5 dice being rolled there are 5 ways to order them.

So the probability is 5/32.

To learn more about probability here:

https://brainly.com/question/30034780

#SPJ4

The purpose of truth tables is to represent the possible values of a logical expression or a combination of expressions based on different input values. Truth tables help in determining the output of a particular statement, given a specific set of inputs. They are a vital tool in digital logic design and Boolean algebra.

Number systems, such as binary, relate to truth tables as binary digits (0 and 1) represent the two possible truth values (False and True) in Boolean logic. For example, when working with logical operators like AND, OR, and NOT, the inputs and outputs are represented by binary digits in truth tables.

Set Theory relates to truth tables as both are used to analyze and represent relationships between different elements or values. In set theory, you work with sets, which are collections of elements. The relationships between sets can be represented using Venn diagrams, which can be compared to truth tables in terms of visualizing relationships between elements.

To give an example, consider the logical AND operator:

1. Write down the possible input values: A and B can be either 0 (False) or 1 (True), leading to four possible input combinations.
2. Create a table with columns for each input and one for the output.
3. Fill in the table with the possible input combinations.
4. Determine the output for each combination based on the logical operator (AND).

The truth table for the AND operator would look like this:

| A | B | Output (A AND B) |
|---|---|------------------|
| 0 | 0 |        0         |
| 0 | 1 |        0         |
| 1 | 0 |        0         |
| 1 | 1 |        1         |

In this example, the truth table demonstrates that the AND operator only returns a 1 (True) when both input values A and B are 1 (True).

You can learn more about truth tables at: brainly.com/question/29155453

#SPJ11

Answer:

8.5 hours

Step-by-step explanation:

a). 10h + 45 = 130

b). 10h = 130 - 45 ⇒ h = 8.5 hours

We have a scale 2 in to 1 ft.

In order to write the ratio, we have to have the same units for both sides of the scale.

Remembering that 1 ft is 12 inches, we can convert them as:

Answer: the scale is 1:6, meaning that one unit in the drawing represents 6 units of the swimming pool.

Answer:

10.0625 pounds exactly. I'm assuming that's what this question is asking, or 161 ounces.

Step-by-step explanation:

First, multiply 7 by 23, we get 161 ounces. Assuming the question is asking for pounds, and then we divide by 16. As there are 16 ounces in a pound. 161/16 = 10.0625.

Not sure the rounding so this is the number you get from a calculator exactly.

The perimeter of the given figure is 120 units

The perimeter of a figure is the total length of the boundary or the distance around the figure. It is the sum of the lengths of all the sides of the figure. The perimeter is always expressed in units of length, such as centimeters, meters, feet, or inches.

To find the perimeter of this figure, we need to simply add up all the sides;

The perimeter of the figure will be;

P = 16 + 16 + 12 + 4 + 12 + 4 + 24 + 16 + 8 + 8 = 120 units

Learn more on perimeter of a figure here;

https://brainly.com/question/19819849

#SPJ1

Answer:

I’m gay

Step-by-step explanation:

Answer:

Add 8x to both sides of the inequality.

Step-by-step explanation:

I got it right

In the graph of the simple linear regression equation, the parameter ß1 is the slope of the true regression line.

The simple linear regression equation represents a linear relationship between a dependent variable and an independent variable. It can be written as y = ß0 + ß1x, where ß0 is the intercept and ß1 is the slope of the regression line.

The slope (ß1) determines the rate of change in the dependent variable (y) for each unit change in the independent variable (x). It represents the steepness or inclination of the regression line. The sign of ß1 indicates whether the line has a positive or negative slope, indicating the direction of the relationship between the variables.

Thus, in the context of the simple linear regression equation, the parameter ß1 is the slope of the true regression line.

learn more about regression equation here

https://brainly.com/question/32162660

#SPJ11

The condition mentioned in the question is that 3% of the 167 people surveyed expressed dissatisfaction with the salesperson.

To assess customer experiences with auto dealers, a consumer group surveyed 167 people who recently bought new cars. Out of the 167 respondents, 3% expressed dissatisfaction with the salesperson. This condition tells us the proportion of dissatisfied customers in the sample.

To calculate the actual number of dissatisfied customers, we can multiply the sample size (167) by the proportion (3% or 0.03):

Number of dissatisfied customers = 167 * 0.03 = 5.01 (rounded to 5)

Therefore, based on the survey results, there were approximately 5 people who expressed dissatisfaction with the salesperson out of the 167 surveyed.

According to the survey of 167 people who recently bought new cars, approximately 3% (or 5 people) expressed dissatisfaction with the salesperson. This information provides insight into the customer experiences with auto dealers and highlights the need for further analysis and improvement in salesperson-customer interactions.

To know more about survey visit:

https://brainly.com/question/19637329

#SPJ11

Answer:

Step-by-step explanation: Just relax effortlessly. Communion Kant be for All unless we are primed for purpose...

Answer:

It is 270, 810 and 2430

Step-by-step explanation:

10 x 3 = 30

30 x 3 = 90

90 x 3 = 270

270 x 3 = 810

810 x 3 = 2430

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

\(\heartsuit\) Greetings \(\heartsuit\)

Sincerely: anapaulacbellido

True: When a form is created based on two or more tables, a relationship must be defined between queries.

True. When a form is created based on two or more tables, a relationship must be defined between queries in order to ensure that the form displays accurate data. Queries are used to pull data from multiple tables and present it in a single view, so it is important to define the relationships between these tables to avoid inconsistencies or errors in the displayed data. This ensures that the data from the related tables can be properly displayed and managed within the form.

When you drag and search a field from an "other" (unrelated) table, a new one-to-many relationship is created from the table in the list and the table from which you dragged the field. This relationship is established by Access, which does not enforce integrity by default.

Learn more about Tables:

brainly.com/question/10670417

#SPJ11

The probability that a flight between New York City and Chicago is less than 135 minutes is 0.6667, or approximately 0.67. This means there is a 67% chance that a randomly selected flight will take less than 135 minutes.

In the given problem, we are told that the time to fly between the two cities follows a uniform distribution, with a minimum of 120 minutes and a maximum of 150 minutes. In a uniform distribution, the probability of an event within a certain range is proportional to the length of that range. Therefore, to find the probability of a flight being less than 135 minutes, we need to calculate the length of the range from 120 to 135 minutes and divide it by the length of the entire distribution, which is 150 - 120 = 30 minutes.

The length of the range from 120 to 135 minutes is 135 - 120 = 15 minutes. Dividing this by the length of the entire distribution gives us 15/30 = 0.5, or 50%. However, since the distribution is continuous and the probability of exactly 135 minutes is zero (as the distribution is uniform), the probability of a flight being less than 135 minutes is slightly greater than 0.5. Thus, the correct answer is approximately 0.67.

Learn more about length here: https://brainly.com/question/32060888

#SPJ11

The required bearing angle of town B from Thomas is 75°.

We have,

Bearing is basically an angle that is measured clockwise from the north. Bearing are generally written in three figure.

Given that

Thomas is facing towards town A, which is at a bearing of 300°.

Implies that town A is 300° from north.

If Thomas turns 135° clockwise, then he faces towards town B,

The bearing angle will be 300+135 = 435°

Since, one complete round makes angle 360°, therefore

The required bearing angle = 435 - 360 = 75

The bearing angle of town B from Thomas is 75°.

To know more about Bearing angle on:

brainly.com/question/10682201

#SPJ1

So the values of a, h, and k in the vertex form of the parabola are a = 6/11, h = -1/2, and k = 3.

A parabola's vertex form is given by:

y = a(x - h)^2 + k

where an is a constant that governs the parabola's shape and (h, k) is the parabola's vertex.

The vertex is (-1/2, 3), and the directrix is x = -13/24, according to the information provided.

The value of a can be calculated using the common parabola formula:

4a = 1/ (distance from vertex to directrix) (distance from vertex to directrix)

4a = 1 / (|(-1/2) - (-13/24)|)

4a = 1 / (11/24)

4a = 24/11\sa = 6/11

The vertex form of the parabola can now be simplified by substituting the vertex and a values:

y = (6/11)(x + 1/2)^2 + 3

Learn more about parabola here:

brainly.com/question/4074088

#SPJ1

Answer:

In the image

Hope this helps!

Step-by-step explanation:

Answer:

x = 32

Step-by-step explanation:

2x+1 + x-7 = 90

3x - 6 = 90

3x = 96

x = 32

Answer:

3 3/4 cups flour

Step-by-step explanation:

If Marie needs 2.25 cups of flour for 36 dozen cookies, then our equations would be:

2.25f = 36

f         = 16

3.75f  = 60

Answer:

15, because perfect squares are a product of some integer times itself. for example 25 is a perfect square b/c 5×5. You can look up the perfect square list to understand the pattern too

Answer:

Lowest boiling point = helium.

Highest boiling point = fluorine

Step-by-step explanation:

Given :

fluorine -180

hydrogen -253

argon -186

helium -269

nitrogen -196

neon -246

Arranging the boxing points of each chemical element on a number line, the least which will be located to the leftmost part is Helium with a boiling point of - 269 ; while the highest will be fluorine which is - 186°C

Answer:

letter c. 6x-y=16

Step-by-step explanation:

The dimensions of the largest rectangle that can be inscribed in the semicircle are length = 7.07 cm and breadth = 7.07 cm and diagonal length of 9.09 cm.

To find the dimensions of the largest rectangle that can be inscribed in a semicircle of diameter 20 cm, we can first draw a diagram of the semicircle and the inscribed rectangle. Since the diameter of the semicircle is 20 cm, its radius is 10 cm.

Next, we can label the sides of the rectangle as length and width, and use the Pythagorean theorem to relate them to the radius of the semicircle. Specifically, if the length and width of the rectangle are x and y, respectively, then we have:

x^2 + y^2 = 10^2

We want to find the dimensions of the largest possible rectangle, which means we want to maximize the area of the rectangle. The area of a rectangle is given by:

A = xy

To find the maximum area, we can use the equation x^2 + y^2 = 10^2 to solve for one variable in terms of the other, and substitute into the equation for the area. For example, we can solve for y in terms of x:

y = √(10^2 - x^2)

Substituting into the equation for the area, we get:

A = x √(10^2 - x^2)

To find the maximum value of A, we can take the derivative with respect to x, set it equal to zero, and solve for x:

dA/dx = √(10^2 - x^2) - x^2/√(10^2 - x^2) = 0

Solving for x, we get:

x = 10/√(2)

Substituting this value of x back into the equation for y, we get:

y = 10/√(2)

length = x = 10/√(2) ≈ 7.07 cm

width = y = 10/√(2) ≈ 7.07 cm

This rectangle has a diagonal length of:

√((10/√(2))^2 + (10/√(2))^2) ≈ 9.90 cm

which is the same as the diameter of the semicircle. Therefore, this rectangle is the largest possible rectangle that can be inscribed in the semicircle.

To learn more about dimensions click on,

https://brainly.com/question/13652173

#SPJ4

Answer:

I have no idea!!!!!!!!!!!!!