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svetoff [14.1K]
3 years ago
5

1.

Mathematics
1 answer:
Setler [38]3 years ago
4 0
1 is A the  domain is the X values meanwhile y is your range.

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7.5d = 2.5d Lin divided each side by 2.5d and Elena subtracted 2.5d from each side with both leads to the solution
dedylja [7]

Answer:

Elena's move will lead to the solution of the problem

Step-by-step explanation:

To solve the equation 7.5d=2.5d, Lin divides each side by 2.5d, and Elena subtracts 2.5d from each side. Will both moves lead to the solution? Explain your reasoning

Given:

7.5d = 2.5d

Lin divides each side by 2.5d, Lin:

7.5d / 2.5d = 2.5d / 2.5d

3 = 1

This can not be the solution to the problem because 3 can not be Equal to 1

Elena subtracts 2.5d from each side

7.5d = 2.5d

7.5d - 2.5d = 2.5d - 2.5d

5d = 0

This can lead to the solution of the problem

Elena's move will lead to the solution of the problem

6 0
3 years ago
George plays basketball in a week long camp On day 2 he scored 8 points On day 4 he scored 12 points Explain how to measure his
Kay [80]
To measure George's rate of change, we first set out two pairs of independent and dependent data which in this case is the day number and the point

Independent Data: Day 2                          Independent Data: Day 4
Dependent Data: 8 points                         Dependant Data: 12 points

Then we find the difference between the two independent values and the two dependent values

4 - 2 = 2
12 - 8 =4

To find the rate we use the following formula 
the difference of dependent value ÷ the difference of independent value =
4 ÷ 2 = 2

Hence the average rate of change is an increase of 2 points a day


6 0
3 years ago
The United States government used to make coins of many different values
Papessa [141]

Answer:

1. 50%

2. 3%

3. 20%

4. 200%

Step-by-step explanation:

Here, we want to find the worth of each coin as a percentage of $1

We simply divide the worth by $1 and multiply by 100%

$1 is same as 100 cents

Thus;

1. 50 cent

= 50/100 * 100% = 50%

2. 3 cents

= 3/100 * 100% = 3%

3. 20 cents

= 20/100 * 100% = 20%

4. $2

= 2/1 * 100% = 200%

5 0
2 years ago
Given: Triangle ABC : triangle ADB. AB =24, AD =16 <br> Find: AC
RoseWind [281]

Answer:

<h2>AC = 36.01</h2>

Step-by-step explanation:

Given ΔABC and ΔADB, since both triangles are right angled triangles then the following are true.

From ΔADB, AB² = AD²+BD²

Given AB = 24 and AD = 16

BD² = AB² - AD²

BD² = 24²-16²

BD² = 576-256

BD² = 320

BD = \sqrt{320}

BD = 17.9

from ΔABC, AC² = AB²+BC²

SInce AC = AD+DC and BC² = BD² + DC² (from ΔBDC )we will have;

(AD+DC)² = AB²+ (BD² + DC²)

Given AD = 16, AB = 24 and BD = 17.9, on substituting

(16+DC)² = 24²+17.9²+ DC²

256+32DC+DC² =  24²+17.9²+ DC²

256+32DC = 24²+17.9²

32DC = 24²+17.9² - 256

32DC = 640.41

DC = \frac{640.41}{32}

DC = 20.01

Remember that AC = AD+DC

AC = 16+20.01

AC = 36.01

6 0
3 years ago
The population of a county is growing at a rate of 9% per year, compounded continuously. How many years will it take for the pop
torisob [31]

Answer:

t=15.4\ years

Step-by-step explanation:

The  exponential growth function compounded continuously is equal to

A=P(e)^{rt}  

where  

A is the final population  

P is the initial population  

r is the rate of growth in decimal  

t is Number of years

e is the mathematical constant number

we have  

A=4x\\P=x\\ r=9\%=9/100=0.09  

substitute in the function above

4x=x(e)^{0.09t}    

simplify

4=(e)^{0.09t}

Take natural log of both sides

ln(4)=ln[(e)^{0.09t}]

ln(4)=0.09t(ln(e))

ln(e)=1

ln(4)=0.09t

t=ln(4)/0.09

t=15.4\ years

8 0
3 years ago
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