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3 years ago

Use the order of operations to find the value of the expression: 12 - (3 x3) + 11 *

Mathematics

1 answer:

STALIN [3.7K]3 years ago

3 0

Answer:

Step-by-step explanation:

bodmas

3×3=9

12-9+11

12+11-9

23-9=14

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Newton has a population of 23 000. The population decreases exponentially at a rate of 1.4% per year. Calculate the population o

valina [46]

Answer:

Step-by-step explanation: 1.4 x the amount of years = 7 then 23000 divided by 7 = 3,285.7

4 0

3 years ago

Consider the following series. 1 4 + 1 8 + 1 12 + 1 16 + 1 20 Determine whether the series is convergent or divergent. Justify y

patriot [66]

Answer:

The series diverges

Step-by-step explanation:

First, let's find the sequence:

$4, 8, 12, 16, 20,...,$

As we can see, they are multiples of 4, so one possible sequence is:

$4,8,12,16,20,...,=4n\hspace{8};\hspace{3}n\in Z$

Hence, we can represent the series as:

$$$\sum_{n=1}^{\infty} 4n$

Let's use the zero test which states:

$$$\Sigma a_n$$\\Diverges\hspace{3}if\\\\ \lim_{n \to \infty} a_n \neq 0$

So:

$\lim_{n \to \infty} 4n= 4 \lim_{n \to \infty} n\\ \\ \lim_{n \to \infty} n=\infty\\ \\4\infty= \infty\\\\Hence\\\\ \lim_{n \to \infty} 4n=\infty$

Therefore, by the zero test, the series diverges

3 0

3 years ago

A party mix is made by adding nuts that sell for $2.50 per kg to a cereal mixture that sells for $1 per kg. How much of each sho

sesenic [268]

Answer:

The amount of nuts is 16 kg and cereal mixture is 44 kg to obtain 60 kg of a mix that will sell for $1.40 per kg

Step-by-step explanation:

Let

x=nuts at $2.50 per kg

y=cereal at $1 per kg

x+y=60 kg (1)

2.50x+y=1.40(60) (2)

From (1)

x=60-y

Substitute x=60-y into (2)

2.50x+y=1.40(60)

2.50(60-y)+y=84

150-2.5y+y=84

-1.5y=84-150

-1.5y=-66

Divide both sides by -1.5

y=44 kg

Substitute y=44 into (1)

x+y=60

x+44=60

x=60-44

=16

x=16 kg

3 0

3 years ago

Exhibit 13-3 To test whether or not there is a difference between treatments A, B, and C, a sample of 12 observations has been r

marta [7]

Answer:

a. 1.059

Step-by-step explanation:

Test statistics is used in hypothesis testing to find the conclusion. Test statistics are T-values which are used in testing a hypothesis and deciding whether to accept or reject the null hypothesis.

Test statistics can be calculated with the following formula:

Z = x - u / s / $\sqrt{n}$

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3 years ago

What is -18+11= a. postive b. negative c. zero

Lera25 [3.4K]

Well, you know that the sum of those two numbers aren't zero, as they aren't additive inverses of each other. The sum of these numbers will, furthermore, take the sign of the "greater" number without its sign. For example, 2-3 would be negative, since the negative sign of "3" is of the greater number without its sign.

8 0

3 years ago

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