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stepladder [879]
3 years ago
10

The population of a certain country since 1990 can be approximated by f(t)=0.008t2+2.1t+175 where f(t) is the population in mill

ions and t represents the number of years since 1990. Find the average rate of change in the country's population between 1990 and 2010. Round to 1 decimal place.
Mathematics
1 answer:
azamat3 years ago
6 0

Answer:

\frac{f(20)-f(0)}{20-0} = \frac{220.2-175}{20}  = 2.26

Step-by-step explanation:

as with all functions f(t), the average rate of change on [a.b] is

\frac{f(b)-f(a)}{b-a}

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A shop recorded total sales of $2,000 on Monday. On Tuesday, its sales fell by 10%. On Wednesday, sales fell by another 20% comp
enyata [817]
2000 - Monday
2000 - 0.10(2000) = 1800 -- Tuesday
1800 - .20(1800) = 1440 -- Wednesday
.25(2000) + 1440 = 1940 -- Thursday

net change = 2000 - 1940 = 60 <== net change
7 0
3 years ago
What is the probability of p(2 of spades)
serious [3.7K]

Answer:

<h2><u><em>**Please rate brainliest and vote 5 and give thanks**</em></u></h2>

Step-by-step explanation:

● A standard deck of cards has:

● 52 Cards in 13 values and 4 suits

● Suits are Spades, Clubs, Diamonds

and Hearts

● Each suit has 13 card values:

2-10, 3 “face cards” Jack, Queen, King (J, Q, K)

and and Ace (A)

Basic Card Probabilities

● If you draw a card at random, what is the

probability you get:

● A Spade? P(Spade)=13/52

● A Face card? P(Face Card)=12/52 (or simply 3/13)

● A Red Ace? P(Red Ace) = 2/52

6 0
3 years ago
If ab = 5 and a² + b² = 25, then (a + b)² =​
prisoha [69]

Answer:

100

Step-by-step explanation:

because 5+5=10

the 10^2=10*10=100

3 0
3 years ago
Read 2 more answers
There are 4 consecutive even integers that add up to 268. Which integers are they?
xz_007 [3.2K]

Answer:

4n+ 12 = -268, or 4n = -280, or n = -70. This would imply that the four consecutive ODD integers are -70, -68, -66, -64.

Step-by-step explanation:

Hope this helps         :)

4 0
3 years ago
Find the value of c that completes the square for x2−15x+c
meriva

Answer:

The value of <em>c</em> is \frac{225}{4}.

Step-by-step explanation:

The perfect square of the difference between two numbers is:

(x-y)^{2}=x^{2}-2xy+y^{2}

The expression provided is:

x^{2}-15x+c

The expression is a perfect square of the difference between two numbers.

One of the number is <em>x</em> and the other is √<em>c</em>.

Use the above relation to compute the value of <em>c</em> as follows:

x^{2}-15x+c=(x-\sqrt{c})^{2}\\\\x^{2}-15x+c=x^{2}-2\cdot x\cdot\sqrt{c}+c\\\\15x=2\cdot x\cdot\sqrt{c}\\\\15=2\cdot\sqrt{c}\\\\\sqrt{c}=\frac{15}{2}\\\\c=[\frac{15}{2}]^{2}\\\\c=\frac{225}{4}

Thus, the value of <em>c</em> is \frac{225}{4}.

5 0
3 years ago
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