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nevsk [136]
3 years ago
14

What is equivalent to 6+4(x+3)

Mathematics
2 answers:
ANEK [815]3 years ago
8 0

Answer:

4x + 18

Step-by-step explanation:

6 + 4 (x + 3) = 4x +18

4x + 18 = 2 (2x + 9)

Minchanka [31]3 years ago
3 0

Answer:

4x+18

Step-by-step explanation:

4x+18

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What is the exact solution to the equation 2^2x=5^x−1 ?
Ann [662]

2^2x=5^x−1

Take the log pf both sides:

ln(2^2x) = ln(5^x-1)

Expand the logs by pulling the exponents out:

2xln(2) = (x-1)ln(5)

Simpligy the right side:

2xln(2) = ln(5)x - ln(5)

Now solve for x:

Subtract ln(5)x from both sides:

2xln(2) - ln(5)x = -ln(5)

Factor x out of 2xln(2)-ln(5)x

x(2ln(2) - ln(5)) = -ln(5)

Divide both sides by (2ln(2) - ln(5))

X = - ln(5) / (2ln(2) - ln(5))

4 0
2 years ago
Read 2 more answers
Divide £72 into the ratio 4 : 5.
algol13

Answer:

£32 : £40

Step-by-step explanation:

sum the parts of the ratio, 4 + 5 = 9 parts

Divide the amount by 9 to find the value of one part of the ratio

£72 ÷ 9 = £8 ← value of 1 part of the ratio, then

4 parts = 4 × £8 = £32

5 parts = 5 × £8 = £40

Then

£72 in the ratio 4 : 5 is £32 : £40

4 0
2 years ago
An instructor in a college class recently gave an exam that was worth a total of 100 points. The instructor inadvertently made t
solniwko [45]

Answer:

B) Method 2 will increase the standard deviation of the students' scores.

Step-by-step explanation:

Given that an instructor in a college class recently gave an exam that was worth a total of 100 points.

The average score for his students was 43 and the standard deviation of the scores was 5 points.

And now he is considering two different strategies for rescaling the exam results of which:

Method 1 = Add 17 points to everyone's score.

Method 2 = Multiply everyone's score by 1.7 .

And we have to check what will be the impact of these methods on the standard deviation of the students' scores.

For this let us consider a simple example to understand this:

Firstly, Formula for calculating Standard Deviation =  \sqrt{\frac{\sum (X-Xbar)^{2}}{n-1}}

Suppose,

     X             X - Xbar       (X - Xbar)^{2}

     3              3 - 6 = -3         -3 * -3 = 9

     5              5 - 6 = -1          -1 * -1 = 1

     10            10 - 6 = 4          4 * 4 = 16

<em>Mean of above data, Xbar</em> = \frac{3+ 5+10}{3} = 6

<em>Standard Deviation of data </em>= \sqrt{\frac{26}{3-1} } = 3.6055

Now let us suppose that we multiply each value of above data with 2 so the new data will be:

     X                X - Xbar           (X - Xbar)^{2}

 3*2 = 6        6 - 12 = -6         -6 * -6 = 36

 5*2 = 10       10 - 12 = -2       -2 * -2 = 4

10*2 =20      20 - 12 = 8         8 * 8 = 64

<em>Mean of new data, Xbar </em>= \frac{6+ 10+20}{3} = 12

<em>Standard Deviation of new data</em> = \sqrt{\frac{104}{3-1} } = 7.2111

<em>Hence, we see that when we multiply any value to the data the standard deviation will increase and in other words it will multiplied by that value which value we multiplied with each data value i.e. when we multiply each data value with 2 the standard deviation also get multiplied by as </em>

  3.6055 * 2 = 7.2111

Therefore option B is correct that Method 2 will increase the standard deviation of the students' scores.

<em>And on the other hand Similarly by adding any constant to the data the Standard Deviation will remain same. Therefore Method 1 will have no impact on standard deviation of the students' scores.</em>

8 0
3 years ago
Is the collection of US museums well-defined and therefore is not a set
taurus [48]

Answer:

be “well-defined” the collection description would have to settle all such questions. ... All these questions indicate the statement is ambiguous, i.e., it is not clear which students are members of this collection, hence, the collection is not well-defined.

4 0
3 years ago
2 option question NEED ANSWER NOW PLZ
castortr0y [4]
Do you have a text book?

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