I need to know how to solve this

The explicit formula of the function d(n) is [tex]d(n) = 2.7 * 6.1^{n-1[/tex]

The function is given as:

d(1) = 2.7

d(n) = d(n-1) x (6.1)

The above means that the function is an exponential function, and it has the following parameters:

First term, d(1) = 2.7

Common ratio, r = 6.1

The explicit formula of an exponential function is:

[tex]d(n) = d(1) * r^{n-1[/tex]

So, we have

[tex]d(n) = 2.7 * 6.1^{n-1[/tex]

Hence, the explicit formula of d(n) is [tex]d(n) = 2.7 * 6.1^{n-1[/tex]

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Answer:

Step-by-step explanation:

(15 - 5)/(19 + 19)= 10/38= 5/19 is the slope

y - 5 = 5/19(x + 19)

y - 5 = 5/19x + 5

y = 5/19x + 10

Answer:

You count the cat's ears as the area of a right triangle, the middle as the area of a rectangle, and the cat's chin as the area of a semi-ellipse.

The better deal based on the information is mortgage A as it's cheaper.

From the information given, the loan amount for mortgage A will be:

= 3% × $4500

= $135

The loan amount for mortgage B will be:

= 6% × $7500

= $450

From the information, the better deal is mortgage A.

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The bearing of point A from point B is 223°.

We have given that,

The bearing of point B from point A is 043°.

We have to determine the bearing angle,

Suppose that we have the angle BAD=43 degrees.

So angle CBA=43 degrees.

A bearing is an angle in degrees measured clockwise from north. Bearings are usually given as a three-figure bearing.

For example, 30° clockwise from the north is usually written as 030°.

Angle EBA= 180+∠CBA

=180°+43°

=223°

Therefore the bearing of point A from point B is 223°.

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The name of the Platonic Solid shown below is a Hexahedron. Option D is correct.

A polyhedron with an identical number of faces meeting at each vertex as well as all congruent uniform polygonal faces is referred to as a platonic solid.

In the image attached, the polyhedron has 6 faces with 3 squares in each vertex. Therefore, we can conclude that the platonic solid is a hexahedron.

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The commission on the sales will be $118.2.

The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.

Given that:-

Elijah Henson sold $1,576 worth of merchandise. his commission rate is 7 1/2%

The commission amount will be:-

7.5 % of $1576 will be calculated as:-

Commission = 1576 x 0.075

Commission = $118.2

Therefore the commission on the sales will be $118.2.

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Answer:

26

Step-by-step explanation:

Angles that form a linear pair are supplementary, and thus have measures that add to 180 degrees.

4x+3+2x+21=180

6x+24=180

6x=156

x=26

The total amount of money spent by Keesha to buy grapes and bananas is equal to $6.38.

Based on the value of the bills and coins which represent the cost of each item, we would determine the total amount of money spent by Keesha to buy grapes and bananas.

For the grapes, we have:

Cost of grapes = 5 + (1 × 0.25) + (2 × 0.1) + 0.05

Cost of grapes = 5 + 0.25 + 0.2 + 0.05

Cost of grapes = $5.5.

For the bananas, we have:

Cost of bananas = (3 × 0.25) + 0.1 + (3 × 0.01)

Cost of bananas = 0.75 + 0.1 + 0.03

Cost of bananas = $0.88.

Total cost = 5.5 + 0.88

Total cost = $6.38.

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Answer:

13.2 Kilometers an Minute, or 220 Kilometers an Hour

Step-by-step explanation:

26,400 divided by 2 = 13.2 (Minutes) Divided by 60 = 220 (Hours).

Answer:

f(-2) = 14

Step-by-step explanation:

put -2 where x is

f(x) = 3x²-x

f(-2) = 3(-2)²-(-2)

f(-2) = 3(4)+2

f(-2) = 12+2

f(-2) = 14

Answer:

200

Step-by-step explanation:

20% is one fifth and therefore 40 is also 1/5 of the number. I then do 40 times 5 to get 200

Answer:

200

Step-by-step explanation:

40 is 20% of 200 because 40/.20=200
20% of 200 is 40 because 200x0.20

it would help to set up proportions like:

40    20

/    =  

x      100

and cross multiply and divide.

Answer: undefined

Step-by-step explanation:

The slope of a vertical line is undefined because there is no rise/run and the slope formula would give you something over 0, which is undefined

Answer:

undefined

Step-by-step explanation:

the slope of the line graphed (a vertical line) is undefined.

No matter how large we set out slope, we will never reach a vertical slope. As we approach infinity, we will get closer, and closer, but we can never fully have a slope of a vertical line.

A slope of 1 means that we move up 1, over 1. A slope of 2 means that we move up 2, over 1. Even if we move up 5000, we still move over at least slightly (with a slope).

It is undefined because it does not run horizontally.

Answer:

Step-by-step explanation:

Given

log_3x = 3/2   can be rewritten as

3^1.5 = x

You calculator will give you the simplest answer to this. Look around for a key that looks like ^ or y^x or x^y.

Then you put the base (3) into your calculator and press your y^x key and put in 1.5

Answer:

x = 5.1962

Answer:

4 units

Step-by-step explanation:

formula

d = √(x2-x1)^2 + (y2-y1)^2

then fill in the spots

d = √(-5.4+5.4)^2 + (-5.5+9.5)^2

the subtraction sign became an addition sign due to it being a double negative

Hope this helped

Answer:

x = - 3

Step-by-step explanation:

using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (x, 4 ) and (x₂, y₂ ) = (- 3, 8 )

m = [tex]\frac{8-4}{-3-x}[/tex]

since m is undefined, then the denominator must be zero, since division by zero is undefined , then equating the denominator to zero

- 3 - x = 0 ( add 3 to both sides )

- x = 3 ( multiply both sides by - 1 )

x = - 3

Answer: Sally has 16 friends

Step-by-step explanation:

she has 40 balls

subtract by how many she gave away

40-8=32

she gave 2 to each friend

divide the balls left by 2

32/2=16

Sally has 16 friends

Answer:

The answer is C

Step-by-step explanation:

Irregular polygons are polygons with unequal sides and angles.

Answer:

The standard form of the number will be written as 63 158

The turtle that would most likely win the race is the turtle 7

The turtles are given as:

Turtle = 1 to 13

When two dice are rolled and the sum of the outcomes are taken, the sample space is:

Outcome   Frequency

2                    1

3                    2

4                    3

5                   4

6                   5

7                    6

8                    5

9                    4

10                   3

11                    2

12                    1

The outcome 7 has the highest frequency of 6

This means that the turtle 7 has the highest chance of winning the race

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The equation for the scatter plot will be,y=3x+15. Scatter plots are essential for determining relationships, if any, between the values of observable quantities or occurrences.

A set of dots plotted on a horizontal and vertical axis is known as a scatter plot. Because they may demonstrate the degree of connection,

if any, between the values of observed quantities or events, scatter plots are crucial in statistics.

The equation of the trend line for the scatterplot below will be y=3x+15.

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Answer:

D.) 7 and -4

Step-by-step explanation:

Coefficients are numbers placed directly before a variable.

(7) is a coefficient because it is placed before x².

(-4) is a coefficient because it is placed before x. The negative is included.

(6) is not a coefficient because it is not altering any variable through multiplication/division.

Answer:

   [tex]7\frac{1}{6}[/tex]

Step-by-step explanation:

→ Convert all fractions to improper fractions

[tex]\frac{27}{6} +\frac{8}{3}[/tex]

→ Make both of the numerators the same

[tex]\frac{27}{6} +\frac{16}{6}[/tex]

→ Add

[tex]\frac{43}{6}[/tex]

→ Convert to mixed fraction

   [tex]7\frac{1}{6}[/tex]

Answer:

9 hr * 60 min/hr = 540 min. 540 min * 60 sec/min = 32,400 sec. Use the method described by panic mode: round the number down until there is only one non-zero digit left. Here, 32,400 rounds down to 30,000. Now count the number of zeroes; the result is the order of magnitude: 4. (You see this in scientific notation also: 30,000 = 3 × 10^4.)

Answer:

C and H

Explanation:

All others are not the same shape, they tend to be pointing in different directions.

Answer:

a c h g f

Step-by-step explanation: