Construct a tangent to circle O at P.


​

Answer:

5xy + 11x + 3

Step-by-step explanation:

We have the expression 2x + 5xy + 9x + 3 and are asked the solution.

This is different from most standard addition problems, we have an influx of variables, since we do. We follow the like term rules, which is that we can only add the numbers that have the same variable endings, in this case, only 2x and 9x are like terms, so we add them.

2x + 9x

11x

Therefore :

5xy + 11x + 3

Answer

4, 7, 5, 10, 13, .......

Step-by-step explanation:

the only numbers that are impossible to get are the non-multiples of 3 and 8

and the numbers that 8 and 3 do not add up to and the multiples of 8 and 3 do not add up to

Answer:

Step-by-step explanation:

1. 8=2x+4

8-4=2x

4=2x

x=2

2. 2x+3=9

2x=9-3

2x=6

x=3

3. 6y=54

y=54/6

y=9

5. 3= x/2

x=6

Answer:

8=2x+4

4=2x

2=x

2x+3=9

2x=6

x=3

6y=54

I'm not sure about question #4

3=x/2

6=x

Answer:

use photomath ok my guy and good job

Answer:

34%

Step-by-step explanation:

35 - 23 = 12, so the guess is off by 12/35.

To find the percentage, divide 12 by 35, which is approximately 34%.

Answer:

A. V13

Step-by-step explanation:

Hope it helps and is correct!

Answer:

$240

Step-by-step explanation:

Original price: p

discount 25% (multiplier: 0.75)

sale price: $180

p x 0.75 = 180

p = 180/0.75

p = 240

Answer:

(a) [tex]P(x) = 1342.7x + 64792[/tex]

(b) [tex]P(60) = 145354[/tex]

(c) [tex]P(x) = 64792 *1.0175^x[/tex]

(d) [tex]P(60) = 183491[/tex]

(e) The exponential model is more realistic

Step-by-step explanation:

Given

[tex]1990 ==> P_0 =64792[/tex]

[tex]2010 ==> P_{20} =91646[/tex]

Solving (a): The linear model of the population growth

First, we calculate the slope of the function.

[tex]m = \frac{P_{20} - P_0}{20 - 0}[/tex]

[tex]m = \frac{91646 - 64792}{20 - 0}[/tex]

[tex]m = \frac{26854}{20}[/tex]

[tex]m = 1342.7[/tex]

The linear equation is then calculated using:

[tex]P(x) - P_0 = m(x - x_0)[/tex]

[tex]P(x) - 64792 = 1342.7(x - 0)[/tex]

[tex]P(x) - 64792 = 1342.7(x)[/tex]

[tex]P(x) - 64792 = 1342.7x[/tex]

Make P(x) the subject

[tex]P(x) = 1342.7x + 64792[/tex]

Solving (b): The population in 2050

First, calculate x:

[tex]x = 2050 - 1990[/tex]

[tex]x = 60[/tex]

Substitute 60 for x in [tex]P(x) = 1342.7x + 64792[/tex]

[tex]P(60) = 1342.7 * 60 + 64792[/tex]

[tex]P(60) = 80562 + 64792[/tex]

[tex]P(60) = 145354[/tex]

The population in 2050 is 145354

Solving (c): The exponential model of the population growth

An exponential model is:

[tex]y = ab^x[/tex]

In this case, it is:

[tex]P(x) = P_0 * b^x[/tex]

For x = 20, we have:

[tex]P(20) = P_0 * b^{20[/tex]

Substitute values for P(20) and P0

[tex]91646 = 64792 * b^{20[/tex]

Divide both sides by 64792

[tex]\frac{91646 }{64792} = \frac{64792 * b^{20}}{64792}[/tex]

[tex]\frac{91646 }{64792} = b^{20}[/tex]

[tex]1.41446474873 = b^{20}[/tex]

Take the 20th root of both sides

[tex]\sqrt[20]{1.41446474873} = b[/tex]

[tex]b = \sqrt[20]{1.41446474873}[/tex]

[tex]b = 1.0175[/tex]

So, the model is:

[tex]P(x) = P_0 * b^x[/tex]

[tex]P(x) = 64792 *1.0175^x[/tex]

Solving (d): The population in 2050

First, calculate x:

[tex]x = 2050 - 1990[/tex]

[tex]x = 60[/tex]

Substitute 60 for x in [tex]P(x) = 64792 *1.0175^x[/tex]

[tex]P(60) = 64792 *1.0175^{60[/tex]

[tex]P(60) = 64792 *2.832[/tex]

[tex]P(60) = 183490.944[/tex]

[tex]P(60) = 183491[/tex] ---- approximated

(e) The most realistic model

The exponential model is more realistic. This is so because:

The linear model grows at a constant linear rate which means that, every year a certain amount of individuals is added to the society. However, this is not always so because it is almost impossible to for growth rate to be constant

A curve in the exponential model shows that the addition of individuals in the society every year is not always constant.

Answer:

2 or [tex] \log_{12} 144 [/tex]

Step-by-step explanation:

I assume 12 is the base.

[tex] \log_{12} 18 + 3 \log_{12} 2 = [/tex]

[tex] = \log_{12} 18 + \log_{12} 2^3 [/tex]

[tex] = \log_{12} (18 \times 8) [/tex]

[tex] = \log_{12} 144 [/tex]

[tex] = \log_{12} 12^2 [/tex]

[tex] = 2\log_{12} 12 [/tex]

[tex] = 2 [/tex]

The entire expression simplifies to 2, but if you need the simplest log expression, then you can use

[tex] \log_{12} 144 [/tex]

Answer:

Step-by-step explanation:

Answer:

2b=11+19

2b=30

b=15

heyyyyyyyy guys

2b-19 = 11

+19 on each side

2b = 30

÷2 on each side so b is by itself

b=15

hope that helped^^

Answer:

[tex]\frac{16}{25}[/tex] x [tex]\frac{4}{4}[/tex] = [tex]\frac{64}{100}[/tex] = 64%

Step-by-step explanation:

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The rate of change of the proportion y = 9x is 9.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

y = 4x  +2 is an equation.

x + 2x + 3 = 4 is an equation.

We have,

y = 9x

The rate of change of this equation can be calculated by finding its differentiation.

Now,

y = 9x

Differentiating with respect to x we get,

dy/dx = 9dx/dx

dy/dx = 9

Thus,

The rate of change of the proportion y = 9x is 9.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ2

Answer:

Step-by-step explanation:

we will calculate first the sales tax

706.95*(9.75/100)=68.93

706.95+68.93= $775.88

Answer:

I think it's 4

Step-by-step explanation:

if x+y is 7 and x-y is 3 then the answer is 4

Answer:

X=2, y=5

Step-by-step explanation:

X+y=7

x-Y=-3

————-

2x+ 0 =4

2x=4

x=2

solve for y using either equation

x+y=7

2+y=7

y=5

check answers by substituting x and y value in either equation:

x+y=7

2+5=7

7=7

or

x-y=-3

2-5=-3

-3=-3

Answer:

26mm because w=6mm and the perimeter of the smaller triangle is 48mm

the answer is the third option

Answer:

$81 for 1 month

$972 for 1 year

Step-by-step explanation:

Answer:

$80 for one month and $960 over the course of one year

Step-by-step explanation:

240 / 3 = 80

12 x 80 = 960

Answer:

the slope= 2/5        

Answer:

40

Step-by-step explanation:

1/5 as a decimal is 0.2

8/0.2 = 40

Hope this helps!!

Answer:

A

Step-by-step explanation:

Step-by-step explanation:

The coefficients are 4, 5 and 7

There is no constant

The second one is right

Answer:

Coefficient: 4,5,7 and Constant: None

Step-by-step explanation:

A coefficient can be defined as the number next to the variable or unknown numbers

This would be 4, 5, and 7

However, there does not seem to be a constant, which is a value that should not be the coefficient of a variable.

Answer:10

Step-by-step explanation:

12 x 30 to see how many bottles per hour

360 x 8 to see how many it makes in a day

Divide 28,000 by 2,800 to see how many days it would take.

Step-by-step explanation:

first u will find how much bottles in 8 hours so that will be 60/2minutes =30so 30*12ottles=to 360 bottles per hour so 8*360=2,880 so u will do 28,000/2,880 it will be. 10 days of work.

Answer:

-70

Step-by-step explanation:

This is an arithmetic progression with a difference of -3

Formula for AP is

Sn = a + (n - 1) d

Where

a is the first term, 2

n is the term we're looking for, 25

d is the arithmetic difference, -3

a25 = 2 + (25 - 1) -3

a25 = 2 + (24) -3

a25 = 2 - 72

a25 = -70

Answer: it's just "i"

Step-by-step explanation:

Answer:

1+Q

Step-by-step explanation:

Answer:

1 + q

Step-by-step explanation:

since sum means to add, and they give the values of 1 and q, we just need to plug it in.

Answer:

84 cars

Step-by-step explanation:

Given that 3/4 of the cars in a parking garage are black, let the number of cars in the garage be T, then

number of black cars = 3T/4, other = T - 3T/4 = T/4

If 4/7 of the remaining cars are blue then

the number of blue cars = 4/7 * T/4 = T/7

Remaining cars = T/4 - T/7

= (7T-4T)/28

=3T/28

Given that the remaining cars are sliver and the number of silver cars is 9 then

3T/28 = 9

Cross multiply

3T = 28 * 9

Divide both sides by 3

T = 28 * 9 / 3

= 28 * 3

= 84 Car