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Mashcka [7]
3 years ago
15

HELP me. I will give 100 point!

Mathematics
1 answer:
Kamila [148]3 years ago
3 0

Answer:

2) B) (7, 10,5)

1) D) (8, -1)

Step-by-step explanation:

{y = 2x - 3,5

{x -2y = −14

x - 2[2x - 3,5] = −14

x - 4x + 7 = −14

−3x + 7 = −14

- 7 - 7

__________

−3x = −21

___ ___

−3 −3

x = 7 [Plug this back into both equations above to get the y-coordinate of 10,5]; 10\frac{1}{2} = y

* 10½ = 10,5

_______________________________________________

{y = ¼x - 3

{2x + 4y = 12

2x + 4[¼x - 3] = 12

2x + x - 12 = 12

3x - 12 = 12

+ 12 + 12

_________

3x = 24

__ __

3 3

x = 8 [Plug this back into both equations above to get the y-coordinate of −1]; -1 = y

I am joyous to assist you anytime.

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The population of the world was 7.1 billion in 2013, and the observed relative growth rate was 1.1% per year. A) Estimate how lo
VLD [36.1K]

Answer:

A) 63.36 years.

B) 100.42 years.

Step-by-step explanation:

We have been given that the population of the world was 7.1 billion in 2013, and the observed relative growth rate was 1.1% per year.

A) Since we know that population increases exponentially, therefore we will use our given information to form an exponential model for population increase and then we will solve for the time by which our population will be double.

P(t)=7.1(1.011)^{t}            

7.1 \times 2=7.1(1.011)^{t}  

\frac{7.1 \times 2}{7.1} =(1.011)^{t}

2 =(1.011)^{t}

Now let us solve for t using logarithm.

ln(2) =ln (1.011)^{t}      

ln(2) =t \cdot ln(1.011)

0.6931471805599453 =t \cdot 0.0109399400383344  

t=\frac{0.6931471805599453}{0.0109399400383344}

t=63.3593217267282743049\approx 63.36

Therefore, it will take 63.36 years the population to be double.

B) Now we will find the number of years it will take the population to be triple of its size.

7.1 \times 3=7.1(1.011)^{t}

\frac{7.1 \times 3}{7.1} =(1.011)^{t}  

3 =(1.011)^{t}

Now let us solve for t using logarithm.        

ln(3) =ln (1.011)^{t}

ln(3) =t \cdot ln(1.011)

1.0986122886681097 =t \cdot 0.0109399400383344  

t=\frac{1.0986122886681097}{0.0109399400383344}

t=100.4221490079915311298\approx 100.42

Therefore, it will take 100.42 years the population to triple of its size.


6 0
3 years ago
Someone please help me with these 2 questions I will mark brainlist!!!!
Tamiku [17]
ANSWER for the first one:
A=a+b/2*h
A= 4.5+9/2*6
A= 40.5 cm2

ANSWER for the second one:
9*3= 27
3*3= 9
9*3= 27
A= 63 cm2
8 0
3 years ago
Use the model below to calculate 9 ÷ 1 3 please help.<br>9/3<br>3/9<br>13 1/2<br>27
ki77a [65]

Answer:

9/13

Step-by-step explanation:

4 0
3 years ago
Help please!!!!!!!!!!!!!!!!!!!
irakobra [83]

Answer:

1. The elephant should be given _ fl oz.

2. Every term in Pattern B is 1/4 the corresponding term in Pattern A.

3. 0.9 < 1.1

4. There are 7 tons in 14,000 pounds.

5. There are 17900 Milligrams in 17.9 grams.

Step-by-step explanation:

1. One ton is 2,000 pounds. So you would have to multiply 5.5 x 2,000.

5.5 x 2,000 = 11,000

Then you have to divide 11,000 by 250.

11,000/250 = 44

2. Every term in Pattern B is 4 times less than the term in Pattern A.

3. 0.9 is smaller than 1.1.

4. One ton is 2,000 pounds. 14,000/2,000 is 7 so this would mean that 14,000 pounds is 7 tons.

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4 0
2 years ago
Consider the following equation.
EastWind [94]

The approximate solution of the above equation is: 55/15 (Option A). This is solved using the quartic formula, not quadratic equation.

<h3>What is the Quartic Formula?</h3>

The quartic formula has up to four various solutions including real and imaginary numbers. Read on for more explanation.

<h3>What is the solution to the above question?</h3>

First we restate the above equation:

x²-3x+2= √(x-2) + 2

Next we remove square roots

x^{4} - 6x³ + 9x² = x - 2

Add two to both sides

→ x^{4} - 6x³ + 9x²+2 = x - 2 +2

→  x^{4} - 6x³ + 9x²+2 = x

Subtract X from both sides

→  x^{4} - 6x³ + 9x²+2 -x = x -x

→  x^{4} - 6x³ + 9x²+2 - x= 0

Using the Quartic formula to solve the fourth order equation:
ax^{4} + bx³ + cx² + dx + e

The resolution of x is given as:

x = 2.691085, 3.346753

Because the fraction nearest to 3.4 is 55/16

hence, the correct answer is Option A.

Learn more about quadratic equations at;
brainly.com/question/25841119
#SPJ1



6 0
2 years ago
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