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Lostsunrise [7]

3 years ago

6

Write the coordinates of the point 2 units up of the point (-5,7)

1 answer:

babymother [125]3 years ago

3 0

Answer:

(-5,9)

Step-by-step explanation:

7 + 2 is 9 so yeah that's it

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Ms Hernandez has $100 to spend on parking at admission to the zoo the parking will cost seven dollars and the admission tickets

Leni [432]

7+ 15.50X=100
Subtract 7
15.50X= 93
Divide by 15.50
X=6 people

8 0

3 years ago

In 2000 the population of a country reached 1 billion, and in 2025 it is projected to be 1.2 billion. (a) Find values for C an

Mice21 [21]

Answer:

(a) The value of C is 1.

(b) In 2010, the population would be 1.07555 billions.

(c) In 2047, the population would be 1.4 billions.

Step-by-step explanation:

(a) Here, the given function that shows the population(in billions) of the country in year x,

$P(x)=Ca^{x-2000}$

So, the population in 2000,

$P(2000)=Ca^{2000-2000}$

$=Ca^{0}$

$=C$

According to the question,

$P(2000)=1$

$\implies C=1$

(b) Similarly,

The population in 2025,

$P(2025)=Ca^{2025-2000}$

$=Ca^{25}$

$=a^{25}$ (∵ C = 1)

Again according to the question,

$P(2025)=1.2$

$a^{25}=1.2$

Taking ln both sides,

$\ln a^{25}=\ln 1.2$

$25\ln a = \ln 1.2$

$\ln a = \frac{\ln 1.2}{25}\approx 0.00729$

$a=e^{0.00729}=1.00731$

Thus, the function that shows the population in year x,

$P(x)=(1.00731)^{x-2000}$ ...... (1)

The population in 2010,

$P(2010)=(1.00731)^{2010-2000}=(1.00731)^{10}=1.07555$

Hence, the population in 2010 would be 1.07555 billions.

(c) If population P(x) = 1.4 billion,

Then, from equation (1),

$1.4=(1.00731)^{x-2000}$

$\ln 1.4=(x-2000)\ln 1.00731$

$0.33647 = (x-2000)0.00728$

$0.33647 = 0.00728x-14.56682$

$0.33647 + 14.56682 = 0.00728x$

$14.90329 = 0.00728x$

$\implies x=\frac{14.90329}{0.00728}\approx 2047$

Therefore, the country's population might reach 1.4 billion in 2047.

3 0

3 years ago

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

lyudmila [28]

Answer:

$-\frac{21}{2}$

Step-by-step explanation:

We can solve this system just by summing each side of the equation:

So, both left sides will be sum, and both right sides too.

The resulting expression will be:

$(3-y)+(3-y) = 6+21$

Ordering and solving both sides:

$6-2y=27\\-2y=27-6\\y=\frac{21}{-2}$

Hence, the value to the system is $-\frac{21}{2}$

It's important to combine both equation, because the exercise is asking for the solution of the system.

8 0

3 years ago

Expand and simplify 2(a+3)+3(2a-1)

AlexFokin [52]

2(a+3)+3(2a-1)
=2a+6+6a-3
=8a+3

7 0

3 years ago

Find the mean of the data in the bar chart below.

vladimir2022 [97]

Mean= (5+6+5+6+9)/5= 7.2 coins

Explanation: The mean is the average of a data set. Add the numbers from the data set and divide by how many numbers.

3 0

3 years ago