What is -1 - 9
Solve for 2x-4y =20
X=4

Answer:

The estimated size of the population in 10 days is of 1372 mosquitos.

Step-by-step explanation:

Population after t days:

The population after t days is given by:

[tex]P(t) = P(0)e^{rt}[/tex]

In which P(0) is the initial population and r is the growth rate, as a decimal.

P(0)=574.

So

[tex]P(t) = 574e^{rt}[/tex]

P'(0)=50

[tex]P^{\prime}(t) = 574re^{rt}[/tex]

Since P'(0)=50

[tex]574r = 50[/tex]

[tex]r = \frac{50}{574}[/tex]

[tex]r = 0.0871[/tex]

So

[tex]P(t) = 574e^{0.0871t}[/tex]

Estimate the size of the population in 10 days

This is P(10).

[tex]P(10) = 574e^{0.0871*10} = 1372[/tex]

The estimated size of the population in 10 days is of 1372 mosquitos.

The size of the population of mosquito follows an exponential model.

The size of the population in 10 days is 1370

The given parameters are:

[tex]\mathbf{P(0) = 574}[/tex]

[tex]\mathbf{P'(0) = 50}[/tex]

An exponential function is represented as:

[tex]\mathbf{P(t) = P(0) \times e^r^t}[/tex]

So, we have:

[tex]\mathbf{P(t) = 574 \times e^r^t}[/tex]

Differentiate

[tex]\mathbf{P'(t) = 574r}[/tex]

Substitute 0 for t

[tex]\mathbf{P'(0) = 574r}[/tex]

Substitute [tex]\mathbf{P'(0) = 50}[/tex]

[tex]\mathbf{50 = 574r}[/tex]

Divide both sides by 574

[tex]\mathbf{0.087 = r}[/tex]

So, we have:

[tex]\mathbf{r = 0.087 }[/tex]

The function becomes

[tex]\mathbf{P(t) = 574 \times e^r^t}[/tex]

[tex]\mathbf{P(t) = 574 \times e^{0.087t}}[/tex]

In 10 days, t = 10.

So, we have:

[tex]\mathbf{P(10) = 574 \times e^{0.087 \times 10}}[/tex]

[tex]\mathbf{P(10) = 574 \times e^{0.87}}[/tex]

Solve

[tex]\mathbf{P(10) = 1370}[/tex]

Hence, the size of the population in 10 days is 1370

Read more about exponential functions at:

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Answer:

angle Y= 60 degrees

Step-by-step explanation:

angle S + angle Y = 90 degrees because they are complementary

Y = 90 - S

angle S = 4(Y)-210

substitute for Y

S = 4(90 - S) - 210

S = 360 - 4S - 210

reduce

5S = 150

S = 30

Y = 90 - 30 = 60

Answer:

Step-by-step explanation:

He needs 2.5 cm of ribbon left or in easier words 6 cm..-

Answer:

There are 9 dogs

Step-by-step explanation:

[tex] \frac{10}{x} = \frac{70}{63} \\ x = \frac{630}{70} \\ x = 9[/tex]

Answer:

i just want the points

Step-by-step explanation:

i just want the points

Answer:

So

Domain: (-∞,∞)

Range: [[tex]-\frac{105}{8} ,[/tex]∞)

Step-by-step explanation:

Answer:

Domain: (-∞,∞)

Range: [-105/8,∞)

Step-by-step explanation: Hope this helps.

Answer:

0.86

Step-by-step explanation:

You will get 0.85714.....

Then 0.86 is 2 dp

Answer:

D. The y-intercept is at (0,2)

Step-by-step explanation:

f(x) = 2^x and g(x)=2f(x) so g(x) = 2(2)^x

In the exponential function ab^x a is the y-intercept (in this case a is 2)

Y-intercept of g(x) at (0,2) which is correct option(D).

A graph can be defined as a pictorial representation or a diagram that represents data or values.

f(x) = 2ˣ

g(x) = 2f(x) = 2(2ˣ)

The y-intercept of g(x) = 2f(x),

Substitute in 0 for x and solve for y

y=2(2⁰)

Anything raised to 0 is 1 .

y=2

Y-intercept in point form.

Hence, y-intercept of g(x) : (0,2)

Learn more about Graph here :

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Answer:

Each student receives $70 dollars each.

Step-by-step explanation:

Answer:

x+2 y+1

Step-by-step explanation:

or do u want working out

Answer:

The number of edges

Step-by-step explanation:

quad means 4 so all quadrilaterls have 4 sides.

Answer:

y = -5x +7

Step-by-step explanation:

You will have to change the equation to equal y.

y = -5x -2

Then find the paralell line which would be be the same slope but different equation so the answer should be: y = -5x + 7 by plugging in the numbers of the point. So -3 = -5(2) + x.

Solve for X,

-3 = -10 + x, add 10 to each side

7 = x

Answer:

$700

Step-by-step explanation:

400 x .05=20

20x15=300

300+400=700

Answer:

the ratio would be 9:4 because you just add

Step-by-step explanation:

just add the rstio

Answer:

[tex]\displaystyle \Big(\frac{3\sqrt{5}}{5},\frac{6\sqrt5}{5}+4\Big)[/tex]

Step-by-step explanation:

Recall that the equation for a circle is given by:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where (h, k) is the center and r is the radius.

Then for a center of (0, 4) and a radius of 3, our equation is:

[tex]x^2+(y-4)^2=9[/tex]

We want to know at what point does the circle intersect with the line:

[tex]y=2x+4[/tex]

Therefore, we can solve for x. To do so, substitute the linear equation into the circle equation:

[tex]x^2+((2x+4)-4)^2=9[/tex]

Simplify:

[tex]x^2+(2x)^2=9[/tex]

Square:

[tex]x^2+4x^2=5x^2=9[/tex]

Divide both sides by 5:

[tex]\displaystyle x^2=\frac{9}{5}[/tex]

Therefore:

[tex]\displaystyle x=\pm\frac{3}{\sqrt{5}}=\pm\frac{3\sqrt{5}}{5}[/tex]

In QI, x is always positive, so we only need to consider the positive case:

[tex]\displaystyle x=\frac{3\sqrt{5}}{5}[/tex]

Using the linear equation again, we can see that:

[tex]\displaystyle y=2\Big(\frac{3\sqrt{5}}{5}\Big)+4=\frac{6\sqrt{5}}{5}+4[/tex]

Therefore, the point in which a circle with center (0, 4) and a radius of 3 intersects the line with equation y = 2x + 4 in the first quadrant is the point:

[tex]\displaystyle \Big(\frac{3\sqrt{5}}{5},\frac{6\sqrt5}{5}+4\Big)[/tex]

Or approximately:

[tex]\approx (1.342, 6.683)[/tex]

And we are finished!

Answer:

An equation is y=-3x+7 (I chose slope-intercept form because they already showed us the slope). When y =13 x=-2

Step-by-step explanation:

plugin 13 for y and subtract 7 from both sides, this lets you get 6=-3x then divide 6 by -3 which makes x=-2

Answer:

(-1,-3)

Step-by-step explanation:

Answer for 1:

I don't know the actual answer, but for Forms, you can press ctrl + U and find the answers in the code

Answer for 2:

x = 28

Step-by-step explanation:

Since the overall angle is 90°, and we already have 33, we subtract 33 from 90

90 - 33 = 57

So we have to fill in the other 57°

2(28) = 56

56 + 1 = 57

So the answer is x = 28

Answer:

x = 2

Step-by-step explanation:

We need to write an integer that is 5 more than -3.

Let the integer be x.

So,

x = 5+(-3)

x = 5-3

x = 2

Hence, the required integer be 2.

Answer:

A. 60 ft^2

Step-by-step explanation:

A=bh

The base is 12 and the height is 5

12*5=60

Answer:

A

Step-by-step explanation:

Step-by-step explanation:

Since the x-intercepts are -20 and 40, the line of symmetry is x = (-20 + 40)/2 = 10.

Now we have y = a(x - 10)² + 30, where a is an unknown constant. We can find a by using an x-intercept point.

=> (0) = a[(40) - 10]² + 30

=> 900a + 30 = 0, a = -1/30.

Hence the rule is y = -(x - 10)²/30 + 30.

Answer:

98

2+3=2*[3+(2-1)]=8

3+7=3*[7+(3-1)]=27

4+5=4*[5+(4-1)]=32

5+8=5*[8+(5-1)]=60

6+7=6*[7+(6-1)]=72

therefore

7+8=7*[8+(7-1)]=98

x+y=x[y+(x-1)]=x^2+xy-x

Answer:

2*3 + 3* 7 = 27

4*3 + 5* 4 = 32

....

7*6 + 8*7 = 98

or it could be :

2+3-1 = 5 -1 = 4 *2 = 8

3+7-1 = 10-1 = 9 *3 = 27

4+5-1 = 9-1 = 8 * 4 = 32

5+8-1 = 13-1 = 12 * 5 = 60

6+7-1 = 13-1 = 12 *6 = 72

7+8-1 = 15-1 = 14*7 = 98

Step-by-step explanation:

Answer:

????

Step-by-step explanation:

Answer:

the boa is longer by 103 cm

Step-by-step explanation:

3 m = 300 cm

300 - 197 = 103

Answer:

the boa...

Step-by-step explanation:

convert meters to centimeters then compare the numbers.