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3 years ago

What are the terms coefficients and constants of 5z+6+y^2

Mathematics

1 answer:

goldenfox [79]3 years ago

3 0

Answer:

Answers are below

Step-by-step explanation:

The terms include: 5z, 6, and y^2

The coefficients include: 5

The constants include: 6

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Simplify the expression:Two-thirds divided by (negative 4) minus (one-sixth minus StartFraction 8 over 6 EndFraction)

disa [49]

Answer:

the answer is 1

Step-by-step explanation:

i just answered that question and i got it right

7 0

3 years ago

Read 2 more answers

Felix earns $450 per week plus 3% of sales over $4800. Felix’s sales are $53000. How much does Felix earn?

Leni [432]

1. Felix’s sales are $53000. He has 3% of sales over $4800, then he has 3% of sales $(53000-4800)=$48200.

Now

$48200 -- 100%

$x -- 3%.

Write a proportion:

$\dfrac{48200}{x}=\dfrac{100}{3},\\ \\x=\dfrac{48200\cdot 3}{100}=482\cdot 3=1446.$

Thus, he additionally gets $1446.

2. If he earns $450 per week and earns $1446 of sales, then Felix earns

$450+$1446=$1896.

Answer: correct choice is A

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3 years ago

raising a negitive base to an even exponent power will always, sometimes, or never give a negitive result

maxonik [38]

This is multiplying an even number of negatives together so the answer will always be positive

6 0

3 years ago

A marine biologist monitors the population of sunfish in a small lake. He records 800 sunfish in his first year, 600 sunfish in

Colt1911 [192]

Answer:

Let's use the variable y to represent the number of years passed since the first year.

The population on the first year (y = 0) was 800

The population in the second year (y = 1) was 600.

The ratio in which the population decreased can be calculated as:

R = 600/800 = 0.75

This means that 600 is the 75% of 800, this also means that between the first year and the second year, the population decreased by the 25%

Now let's look at the ratio between the second and third year (y = 2), the population the third year was 450

Now the ratio is:

R = 450/600 = 0.75

Same as before, then we already can see that the population will decrease by 25% each year.

The generic exponential decay equation is:

f(y) = A*(1 - r)^y

where:

A = initial population, in this case, is 800

y = our variable, in this case, represents the number of years

r = the amount that decreases per each unit of our variable, this must be written in decimal form. In this case, we know that the population decreases by 25% each year, and 25% written in decimal form is 0.25

Also, (1 - r) = R, where R is the ratio we found earlier.

To do this, we just divide 25% by 100% to get (25%/100% = 0.25)

Then our equation will be:

f(y) = 800*(1 - 0.25)^y

f(y) = 800*( 0.75)^y

1) We want to predict when the population will be 200.

to do this, we set:

f(y) = 200 = 800*( 0.75)^y

and solve it for y.

(200/800) = 0.75^y

(1/4) = 0.75^y

Now we can use the relationship:

Ln(a^x) = x*ln(a)

Then let's apply Ln( ) in both sides to get

ln(1/4) = y*ln(0.75)

ln(1/4)/ln(0.75) = y = 4.8 years.

This means that 4.8 years after the first year, the population will be around 200.

2) The population in the 25 th year (this is 24 years after the first one, so we take y = 24) is:

f(24) = 800*(0.75)^(24) = 0.80

Around this point, we will have no more sunfish in the lake.

7 0

3 years ago

On a very hot summer day, 5% of the production employees at Midwest Auto Works are absent from work. The production employees ar

olga2289 [7]

Answer:

1.05% probability of randomly selecting 10 production employees on a hot summer day and finding that three of them are absent

Step-by-step explanation:

For each employee, there are only two possible outcomes. Either they are absent, or they are not. The probability of an employee being absent is independent of other employees. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

5% of the production employees at Midwest Auto Works are absent from work.

This means that $p = 0.05$

What is the probability of randomly selecting 10 production employees on a hot summer day and finding that three of them are absent

This is P(X = 3) when n = 10.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 3) = C_{10,3}.(0.05)^{3}.(0.95)^{7} = 0.0105$

1.05% probability of randomly selecting 10 production employees on a hot summer day and finding that three of them are absent

7 0

3 years ago