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Rudik [331]
2 years ago
5

Write an expression for the sequence of operations: subtract 2 from c, then subtract 7 from the result

Mathematics
2 answers:
kipiarov [429]2 years ago
6 0

Answer:

Step-by-step explanation: (c-2)-7

Rainbow [258]2 years ago
6 0
Step by step you have to answer
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During the first decade of the century, the population of a certain city was 145,380 in 2000 and 219,135 in 2010. Find the expon
Likurg_2 [28]

Answer:

The exponential growth function is P=145380e^{0.04103t}

Step-by-step explanation:

Given: The population of a certain city was 145,380 in 2000 and 219,135 in 2010.

To find: exponential growth function that models the growth of the city

Solution:

The exponential growth function is given by P=P_0 e^{kt}

Here, P denotes total population after time t

P_0 denotes initial population

k denotes rate of growth

t denotes time

As P(0)=145,380,

145380=P_0e^{0}\\145380=P_0\\P=145380e^{kt}

As P(10)=219135

219135=145380e^{10k}\\e^{10k}=\frac{219135}{145380}\\=1.507326\\k=\frac{1}{10}\ln (1.507326)\\=0.04103\\\Rightarrow P=145380e^{0.04103t}

8 0
2 years ago
What is the justification for each step in solving the inequality? -5(4x+6<-18x+6+4x
Daniel [21]
Hi there!

Everything looks correct except for the step to get to -6x < 36. Here you put multiplication property of order, and to get here you have to add 30 to both sides, so it would actually be the addition property of order.

I hope I helped!
5 0
2 years ago
a rental car agency charges $210.00 per week plus $0.15 per mile to rent a car. how many miles can you travel in one week for $2
max2010maxim [7]
$291-$210=$81
$81/0.15= 540 miles
I believe the answer is 540 mi.
7 0
3 years ago
-2 (x- 1) &lt;24
Fantom [35]
Yessssssssssssssssssss
4 0
3 years ago
A random sample of math majors taking an introductory statistics course were surveyed after completing the final exam. They were
quester [9]

Answer:

E(X) =1 *\frac{1}{5} +2 *\frac{2}{5} +7*\frac{2}{5}= 3.8

Now we can find the second moment with this formula:

E(X^2) = \sum_{i=1}^n X^2_i P(X_i)

And replacing we got:

E(X^2) =1^2 *\frac{1}{5} +2^2 *\frac{2}{5} +7^2*\frac{2}{5}= 21.4

The variance would be given by:

Var(X) =E(X^2) -[E(X)]^2 = 21.4 -[3.8]^2 = 6.96

And the deviation would be:

Sd(X) =\sqrt{6.96}= 2.638

Step-by-step explanation:

For this case we have the following distribution given:

X      1      2      7

P(X) 1/5  2/5   2/5

We need to begin finding the mean with this formula:

E(X) = \sum_{i=1}^n X_i P(X_i)

And replacing we got:

E(X) =1 *\frac{1}{5} +2 *\frac{2}{5} +7*\frac{2}{5}= 3.8

Now we can find the second moment with this formula:

E(X^2) = \sum_{i=1}^n X^2_i P(X_i)

And replacing we got:

E(X^2) =1^2 *\frac{1}{5} +2^2 *\frac{2}{5} +7^2*\frac{2}{5}= 21.4

The variance would be given by:

Var(X) =E(X^2) -[E(X)]^2 = 21.4 -[3.8]^2 = 6.96

And the deviation would be:

Sd(X) =\sqrt{6.96}= 2.638

7 0
3 years ago
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