-1 7/9 is the same as them sum of -2 5/6 and 1/3 times a number. what is the number?

Answers

Answer 1

Answer: -1 7/9= -2 5/6 + 1/3x
+2 5/6 to each side
-1 7/9 + 2 5/6 = 1 1/18

1 1/18 = 1/3x
Divide each side by 1/3

Answer is 3 1/6

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You need to lay communications cable around the perimeter of three offices, each 8' by 10'. How much cable do you need?

Answers

Answer:

108 units

Step-by-step explanation:

We are given that

Length of each office,l=10 units

Breadth of each office=b=8 units

Total number of office=3

We know that

Perimeter of rectangle= $2(l+b)$

Using the formula

Length of cable for 1 office= $2(10+8)=36units$

Length of cable required for 3 offices= $36* 3=108$ units

Hence, the required length of cable=108 units

El perro de Antonia debe comer 0,48 kg de alimento cada día. ¿Cuánto alimento necesita para 30 días?

Answers

Answer:

Amount of food need for 30 days = 14.4 kilogram

Step-by-step explanation:

Given information:

Amount of food dog eat each day = 0.48 kilogram

Find:

Amount of food need for 30 days

Computation:

⇔ Amount of food need for 30 days = Amount of food dog eat each day x number of days

⇔ Amount of food need for 30 days = 0.48 x 30

Amount of food need for 30 days = 14.4 kilogram

14.4 kilogram is right answer.

Find the numerical value of the log expression HELP PLS

Answers

The value of $\rm{log\ 10^(19)$ is 19.

Logarithm

A log function is a way to find how much a number must be raised in order to get the desired number.

$a^c=b$

can be written as

$\rm{log_ab=c$

where a is the base to which the power is to be raised,

b is the desired number that we want when power is to be raised,

c is the power that must be raised to a to get b.

For example, let's assume we need to raise the power for 10 to make it 1000 in this case log will help us to know that the power must be raised by 3.

$\rm{log\ 1000 = 3$

Given to us

log a = 3,

log b = 4,

log c = -1,

Logarithm Values

log a = 3

$10^3 = a\n1000 = a\na=1000$

lob b = 4,

$10^4=b\n10000=b\nb=10,000$

log c = -1,

$10^(-1) = c\n\n(1)/(10) = c\n\nc = 0.1$

Simplifying

$\rm{log(b^7)/(a^5c^6)\n$

$=\rm{log(10,000^7)/(1,000^5* 0.1^6)\n$

$=\rm{log 10^(19)$

Hence, the value of $\rm{log\ 10^(19)$ is 19.

Answer:

Step-by-step explanation:

Given:

$(b^7)/(a^5c^6)$

log a = 3,

log b = 4,

log c = -1

Required:

Numerical value of the log expression

SOLUTION:

To solve this, we need to recall the rules to apply in each step:

$(b^7)/(a^5c^6)$

Step 1: Apply log of quotients => i.e. $log (a)/(b) = log(a) - log(b)$

$log(b^7) - (log(a^5c^6))$

Step 2: Apply log of products. i.e. log ab = log a + log b.

$log(b^7) - (log(a^5) + log(c^6))$

Step 3: Apply log of exponents. i.e. $log(a^n) = nlog(a)$ .

$7log(b) - (5log(a) + 6log(c))$

Step 4: Substitute log a = 3, log b = 4, log c = -1, into the equation.

$7(4) - (5(3) + 6(-1))$ .

$28 - (15 - 6)$ .

$28 - 9$ .

$= 19$ .

How to solve this type of question

Answers

In general, you solve questions of cancavity by looking at the second derivative. It will be negative where the function is concave downward. (It will be positive for concave upward, and zero at points of inflection.)

I find it convenient to get guidance from a graphing calculator.

f(x) is concave downard on the interval (-∞, 2).

_____
The derivative is
.. f'(x) = e^-x -x*e^-x
The second derivative is
.. f''(x) = -e^-x -(e^-x -x*e^-x)
.. = (x -2)*e^-x
This will be negative for x < 2.

What are the advantages of a closed question? A. Closed questions allow the respondent to go in-depth with their answers. B. It is possible to automate the collection of results for closed questions. C. Closed questions allow for new solutions to be introduced. D. It is easy to quantify and compare the results of surveys with closed questions.

Answers

Answer:

closed questions are questions with fixed answer options

A. Closed questions allow the respondent to go in-depth with their answers.

no, it is relevant to open questions

B. It is possible to automate the collection of results for closed questions.

yes

C. Closed questions allow for new solutions to be introduced.

no, it allows to collect statistical data but not good for new solutions, it better works with open questions when new ideas, solutions may appear

D. It is easy to quantify and compare the results of surveys with closed questions.

yes

Question 10 of 321 Point
The standard form of the equation of a parabola is
y=1x2 - 4x +21. What is the vertex form of the equation?
O A. y =(x+4)2 +13
O B. y=2(x+4)2 +21
C. y = 2(x-4)2 + 21
D. y = -(x-4)? +13

Answers

i thinhk is C DONT NOW

The answer is c ) y=2(x-4) 2+21

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