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3 years ago

The sum of two consecutive odd integers is −236. Find the two integers

1 answer:

4 0

2 consecutive odd integers...x and x + 2

x + x + 2 = -236
2x + 2 = - 236
2x = - 236 - 2
2x = - 238
x = -238/2
x = - 119

x + 2 = -119 + 2 = - 117

so ur 2 integers are : -117 and -119

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What is ln x + 2 ln y − ln z written as a single logarithm.

MA_775_DIABLO [31]

Answer:

$\ln \frac{xy^2}{z}$

Step-by-step explanation:

Given expression:

$\ln x+2\ln y-\ln z$

To write the given expression in single logarithm.

Solution:

We will apply the logarithm properties to write the expression in single logarithm.

We have:

$\ln x+2\ln y-\ln z$

Using power rule : [ $a\ln b= \ln b^a$ ]

⇒ $\ln x+\ln y^2-\ln z$

Using product rule: [ $\ln a+\ln b=\ln ab$ ]

⇒ $\ln xy^2-\ln z$

Using quotient rule. [ $\ln a - \ln b = \ln\frac{a}{b}$ ]

⇒ $\ln \frac{xy^2}{z}$

Thus, we successfully converted the expression to a single logarithm expression.

7 0

4 years ago

pls help me sovle i cant heck this app and answer the test so i heck brainly to give me answer im seruos pls if i fail i die i h

Brums [2.3K]

Answer:

3/16

Step-by-step explanation:

you do length x width x height, and get 3/16

7 0

2 years ago

Jaime knows that 30² is 900. He wonders if knowing that 30² can help him finds 29x31. Raquel knows what 25² equals. How can she

iragen [17]

9514 1404 393

Answer:

Jaime: yes: 29·31 = 900 -1 = 899

Raquel: 24·26 = 25^2 -1 = 624

Step-by-step explanation:

The difference of squares factors as the product of the sum and difference of the roots:

a^2 -b^2 = (a -b)(a +b)

<u>Jaime</u>

29·31 = (30 -1)(30 +1) = 30^2 -1^2 = 900 -1 = 899

Jaime can subtract 1 from 30^2 to find 29·31

<u>Raquel</u>

24·26 = (25 -1)(25 +1) = 25^2 -1^2 = 625 -1 = 624

Raquel can subtract 1^2 from 25^2 to find 24·26.

3 0

3 years ago

What is the y-intercept of f(x)=150(1.25) to the x power

masya89 [10]

Answer:

(0,150)

Step-by-step explanation:

Remember that the y-intercept of a function is where x=0. Therefore, we need to plug in x=0 in the function to get y:

f(x)=150(1.25)^x

f(0)=150(1.25)^0

f(0)=150(1)

f(0)=150

Therefore, the y-intercept of the function is (0,150)

7 0

2 years ago

Read 2 more answers

The probability that a lab specimen contains high levels of contamination is 0.14. A group of 4 independent samples are checked.

Shtirlitz [24]

Answer:

a) 0.5470 = 54.70% probability that none contain high levels of contamination.

b) 0.3562 = 35.62% probability that exactly one contains high levels of contamination.

c) 0.4530 = 45.30% probability that at least one contains high levels of contamination.

Step-by-step explanation:

For each sample, there are only two possible outcomes. Either they contain high levels of contamination, or they do not. The samples are independent. 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.

The probability that a lab specimen contains high levels of contamination is 0.14.

This means that $p = 0.14$

A group of 4 independent samples are checked.

This means that $n = 4$

(a) What is the probability that none contain high levels of contamination?

This is P(X = 0)

$P(X = 0) = C_{4,0}.(0.14)^{0}.(0.86)^{4} = 0.5470$

0.5470 = 54.70% probability that none contain high levels of contamination.

(b) What is the probability that exactly one contains high levels of contamination?

This is P(X = 1)

$P(X = 1) = C_{4,1}.(0.14)^{1}.(0.86)^{3} = 0.3562$

0.3562 = 35.62% probability that exactly one contains high levels of contamination.

(c) What is the probability that at least one contains high levels of contamination?

Either none of the samples contain high levels of contamination, or at least one does. The sum of the probabilities of these events is decimal 1. So

$P(X = 0) + P(X \geq 1) = 1$

We want to find $P(X \geq 1)$ . So

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.5470 = 0.4530$

0.4530 = 45.30% probability that at least one contains high levels of contamination.

8 0

3 years ago