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Find the equation of the exponential function represented by the table below:
X
0
1
2
3
Y
0.02
0.04
0.08
0.16 help please

The triangle with the given vertices (-1, -1), (2, 3), and (-4, 3) is not an equilateral triangle.

An equilateral triangle can be defined as a special type of triangle that has equal side lengths and all of its three (3) interior angles are equal.

In order to determine whether the triangle with the given vertices is an equilateral triangle, we would apply the distance formula to calculate the length of each side of this triangle as follows:

Mathematically, the distance between two (2) points that are on a coordinate plane can be calculated by using this formula:

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

For the vertices (-1, -1) and (2, 3), we have;

A = √[(2 - (-1))² + (3 - (-1))²]

A = √[(2 + 1)² + (3 + 1)²]

A = √[3² + 4²]

A = √[9 + 16]

A = √25

A = 5 units.

For the vertices (2, 3) and (-4, 3), we have;

B = √[(-4 - 2)² + (3 - 3)²]

B = √[-6² + 0²]

B = √[36 + 0]

B = √36

B = 6 units.

For the vertices (-1, -1) and (-4, 3), we have;

C = √[(-4 - (-1))² + (3 - (-1))²]

C = √[(-4 + 1)² + (3 + 1)²]

C = √[-3² + 4²]

C = √[9 + 16]

C = √25

C = 5 units.

Therefore, the triangle with the given vertices is not an equilateral triangle because C = A ≠ B.

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Complete Question:

An equilateral triangle has sides of equal length. Determine whether the triangle with vertices (-1, -1), (2, 3), (-4, 3) is equilateral.

Answer:

The answer is 24

Step-by-step explanation:

6×4 =24

We can also further simplify it by everything down.

we could use

(3×4) + (3×4)

12 + 12

=24

and we can do the same for

(6×2) + (6×2)

12 + 12

= 24

Hope this helps!

Answer:

4 · 6 = 24

➲ I hope this helps.

Answer: Here is ur answer

p=1.25x + 80

p is the pay and the 1.25 depends on how much computers he sells but he gets at least 80$ for his paycheck

Step-by-step explanation: i really really hope this helps lmk if im wrong tho have a good day (:

Yes, Lulu was associated to one of the cubs. Cub #711 because It was discovered it in data set 5 for her parentage.

They discovered that there is evident genetic evidence of current population fragmentation, which occurs when teams of a species are isolated from each other, by trying to compare the DNA of lions presently to lions from 100 years ago.

This fragmentation could have a long-term effect on the iconic species' genetic health.

Raising the children together has an evolutionary advantage because it makes sure that Lulu's genetic data is passed down.

Because her cub is one of many, there is safety in numbers.

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Answer:

s = (-23/65)

Step-by-step explanation:

  7            -2

------   =   -------

(s + 8)     (9s + 1)

  7 (9s + 1)            -2 (s + 8)

------                =          -------

(s + 8) (9s + 1)     (9s + 1) (s + 8)

  7 (9s + 1)               -2 (s + 8)

(------------------   =   ---------------------) ((9s + 1) (s + 8))

(s + 8) (9s + 1)        (9s + 1) (s + 8)

7 (9s + 1) = -2 (s + 8)

63s + 7 = -2s - 16

+2s           +2s    

65s + 7 = -16

       -7      -7

65s = -23

÷65s   ÷65s

s = (-23/65)

Answer:

Bread, Peanut Butter and jelly

Step-by-step explanation:

Take the bread lay it out grab a spoon and smooth the ingredients on the sandwich bread.

Answer:

$7.50

Step-by-step explanation:

15% of $50 is 7.50, so she or he made $7.50 from that piece of clothing

In a study, the data you collect is number of walk buttons that work in New York city, which is discrete type of data.

We know that,

The data which is in numeric form is called Quantitative data.

Example: Weight, Marks, etc.

The data which we can't count is known as Qualitative data.

Example: Smoking, Non- Smoking, etc.

Quantitative data can be divided into two parts:

- Continuous

- Discrete

The data which we can count is known as the Discrete data . It includes the natural numbers only.

Example: Number of apples, Number of senior citizens in a particular area, etc.

The data which we can't count is known as Continuous data . Example: Height, Weight, etc.

In this question,  the data you collect is number of walk buttons that work in New York city. This is discrete type of date.

Therefore,  in a study, the data you collect is number of walk buttons that work in New York city, which is discrete type of data.

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There were 9 fishes in 2016.

From the information, the school started its own aquarium with n fish and in 2021, there were n² fish in the same aquarium, there were 81 fish in 2021.

Therefore, the fish in 2016 will be:

n² = 18

Square root both sides

n = ✓81

n = 9

Therefore, there are 9 fishes in 2016.

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Answer:

u need to make a more cleat picture and make it straight please so i can answer

Step-by-step explanation:

Answer:

I believe that the value of the exprexpression is 80.

Step-by-step explanation:

Substitute 7 for every y variable.

y^2 + 4y + 3=

7^2 + 4(7) + 3=

49 + 28 + 3=

80

The value of domain that will pass the vertical line test is ±2√2.

The collection of inputs a function can accept is referred to as the domain of the function in mathematics. [tex]dom(f)[/tex]  is a common way to refer to it, with f standing for the function.

To be more specific, the domain of f is X when the function [tex]f:X--Y[/tex] is specified. The domain of a function is not a characteristic of it, but rather an element of the definition in contemporary mathematical terminology.

The function f can be represented as a graph in the Cartesian coordinate system in the particular case where X and Y are both subsets of. A projection of the function's graph onto the graph's x-axis in this instance serves as the domain's representation.

Explanation:

Finding  the domain,

[tex]x^2+ y^2[/tex] = 8

[tex]\sqrt{x^2} + \sqrt{y^2}[/tex] = √8

x + y = ±2√2

So, the domain is ±2√2.

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The amount of Linus's money spent on 200 rounds of arcade game is   $55.

The given question is incomplete, so

Lets suppose that Linus has played 200 round of arcade game and now we will need to determine the amount of Linus's money spent on 200 rounds of arcade game.

Entrance fee of an arcade = $5

Additional cost to play one round = $0.25

With the help of given equation ( C=0.25r+5 )  we will determine the amount of Linus's money spent on 200 rounds of arcade game.

'C' = The relationship between the amount of Linus' money spent

'r'  = The number of rounds of arcade games played

Let's solve the equation now,

As we know that r is number of rounds Linus has played which is 200 rounds.

So,     C = 0.25r+5

          C = 0.25 × 200 + 5

          C = 50 + 5

          C =  $55

Hence, we got that Linus has spent total $55 on 200 rounds of arcade game.

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Answer: x=2

Step-by-step explanation:

3x=4x-2

3x-4x=4x-4x-2

-x=-2

x=2

Answer:

3.71

Step-by-step explanation:

AC² + BC² = AB²

3² + 6² = AB²

9 + 36 = AB²

AB = √45

AB = 3√5

AB = AD + BD

3√5 = 3 + BD

BD = 3√5 - 3

BD = 3.71

A fundamental distinction between trend projection and linear regression is that: in trend projection the independent variable is time; in linear regression, the independent variable need not be time.

We need to find the fundamental distinction between trend projection and linear regression.

The trend projection method is based on the assumption that the factors liable for the past trends in the variables to be projected shall continue to play their role in the future in the same manner and to the same extent as they did in the past while determining the magnitude and direction of the variable.

Linear regression: Linear regression analysis is used to predict the value of a variable based on the value of another variable. The variable you want to predict is called the dependent variable. The variable you are using to predict the other variable's value is called the independent variable.

A fundamental distinction between trend projection and linear regression is that in trend projection the independent variable is time; in linear regression, the independent variable need not be time but can be any variable with explanatory power.

Therefore, a fundamental distinction between trend projection and linear regression is that: in trend projection the independent variable is time; in linear regression, the independent variable need not be time.

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Answer:

44

Step-by-step explanation:

big brain

The constant of proportionality is 5/3.

In mathematics, proportionality denotes a linear relationship between two quantities or variables. Both quantities increase in size when one double, and both decrease in size when one drops to a tenth of its original value.

The ratio connecting two given numbers in what is known as a proportional relationship is the constant of proportionality. The constant of proportionality may also be referred to by the terms constant ratio, constant rate, unit rate, constant variation, or even change rate.

Let the constant of proportionality is k.

Harry buys 3 granola bars for $ 5. So, we can write it as

3 × k = 5

k = 5/3

To Check:

Sidney buys 9 granola bars for $ 15, we can write it as

9 × k = 15

Put k= 5/3 in the equation

9 × 5/3 = 15

3 × 5 = 15

15 =15

The Left and right-hand sides are equal. Hence, the constant of proportionality is k=5/3.

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The total score of Joseph for four days of the tournament is -4 .

Joseph had the following scores for a four-day tournament,

For the first day i.e., day 1 of the tournament the total score is -1 . For the second day i.e., day 2 of the tournament the total score is 2 . For the third day i.e., day 3 of the tournament the total score is -2 . For the fourth day i.e., day 2 of the tournament the total score is -3 .

To calculate the total score of four days of the tournament we need to add the score of first, second, third and fourth day.

The total score of four days of the tournament = ( -1 ) + ( 2 ) + ( -2 ) + ( -3 )

The total score of four days of the tournament = -4

The total score of Joseph for four days of the tournament is -4 .

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Answer:

❌First option (A): there is no way a minus sign will be in the numerator and denominator, If so they would cancel out to be a positive number.

❌second option(B): there is no way a minus sign would stay in the denominator, it always stays in the numerator (even if it's in the denominator you take it up to the numerator).

❌ Fourth option (D): again no way a minus sign stays in the denominator so this option is wrong.

✅ Option (C): The minus sign is in the right place which is the numerator.

you see how I solved this problem without writing on paper or anything like that, sometimes you can find your answers by spotting abnormalities in the options you're given.

Answer:

-2/9

Step-by-step explanation:

[tex]-1/6(3-15(1/3)^2 )[/tex]

[tex]-1/6(3-15(1/9))[/tex]

[tex]-1/6(3- (15/9))[/tex]

[tex]-1/6(4/3)[/tex]

[tex]-4/18[/tex]

[tex]-2/9[/tex]

The given equation is,

→ -1/6 × [3 - 15(1/3)²]

Then the solution will be,

→ -1/6 × [3 - 15(1/3)²]

→ -1/6 × [3 - 15(1/9)]

→ -1/6 × [3 - 15/9]

→ -1/6 × (27 - 15)/9

→ (-1/6) × (12/9)

→ -12/54 = -2/9

Hence, the answer is -2/9.

For the given rectangle, having perimeter = 72, the length of the rectangle will be 12 cm and breadth will be 24 cm

The overall length of the outline determines a shape's perimeter in two dimensions. We sum the lengths of all four corners of a rectangle to determine its perimeter.

Since the opposing sides of a rectangle are always equal, we must determine the length and breadth of the rectangle in order to determine its perimeter. The rectangle's perimeter may be expressed as the product of its length and breadth times two. As a linear measurement, the perimeter can be expressed in meters, centimeters, inches, feet, etc.

Given,

perimeter = 72

let us assume length = x

The breadth will thus be = 2x.

Now that these numbers have been plugged in, we may solve the equation for x.

perimeter of rectangle = 2 (L + B)

72 = 2 (x + 2x)

72 = 2 (3x)

72 = 6x

x = 72/6

x = 12

2x = 24

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Answer: x = -[tex]\sqrt[3]{2}[/tex]

Step-by-step explanation: sorry if i am wrong

(a) The amount in the account at the end of 1 year is $3330

(b) The amount in the account at the end of 2 year is $3696.3

It is given that Deon deposit $3000 that pays 11% interest compounded each year .

(a) Putting P = $3000, R =  11%  , T = 1 year in equation (1) , we get

           [tex]A=3000(1+\frac{11}{100} )^1\\\\A=3000(1+0.11)\\A=3000(1.11)\\A=3330[/tex]

(b) Putting P = $3000, R =  11%  , T = 2 year in equation (1) , we get

       [tex]A=3000(1+\frac{11}{100} )^2\\\\A=3000(1+0.11)^2\\A=3000(1.11)^2\\A=3000\times1.23\\A=3696.3[/tex]

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Answer:

First one

Step-by-step explanation:

rearrange x + y = 2 in the form y = mx + c

y = -1x + 2

means gradient is -1 and y-intercept is 2. such line is shown in the first graph

see where x = 1 and draw a straight line. Such line is also only shown in the first graph.

it should be the first graph

An inequality that represents the number of hot dogs per minute joey could eat for the last 9 minutes to break his record is: 9d +  [tex]11\frac{1}{4}[/tex] > 72

For given question,

Joey chestnut is trying to break his own record for eating the most whole hot dogs in 10 minutes.

He needs to eat more than 72 hot dogs to break his record.

After 1 minute, joey has eaten [tex]11\frac{1}{4}[/tex] hot dogs.

let d represent the number of hot dogs joey eats per minute for the next 9 minutes.

9d +  [tex]11\frac{1}{4}[/tex] is the expression that shows how many hot dogs he will eat in total.

9d being how much he'll eat in the remaining 9 minutes, and [tex]11\frac{1}{4}[/tex] being the number of hot dogs he's already eaten in the first minute.

Since it has to beat his former record of 72, it has to be greater than 72. The inequality would be

9d +  [tex]11\frac{1}{4}[/tex] > 72

Therefore, an inequality that represents the number of hot dogs per minute joey could eat for the last 9 minutes to break his record is:

9d +  [tex]11\frac{1}{4}[/tex] > 72

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Answer:

5x - 7 ( √ x + 13)

5x√x + 65x - 7√x -91

√3 (5x - 7) +13 (5x - 7)

(5x - 7) (√3 + 13)

5x(√3 + 13) -7

The total time she spends playing soccer in a year is 104 hours, which is calculated using the concept of fraction and arithmetic operations.

What is a fraction?

Any numerical number which does not represent the entire quantity is called a fraction. It depicts a part or portion of something. It is generally written in the form of numerator by denominator.

Calculation of the total time Yolanda spends playing soccer

Given that Yolanda plays soccer for 8 ⅔ hours in a month

Firstly, convert the hours in mixed fraction to improper fraction i.e. 8 ⅔ = (8 × 3 + 2) / 3

= 26 / 3

Now, we need to calculate the no. of hours she played in a year, which is done by multiplying the obtained improper fraction with 12

i.e. (26 / 3) × 12

= 104 hours

Hence, Yolanda spends 104 hours a year playing soccer.

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Answer:

7×7=7×(5+2)

=(5×7)+(7×2)

=35+14

=49

Answer:

Step-by-step explanation:

7x7=7(5+2)

=