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AlexFokin [52]
3 years ago
15

Simplify 12/5 (10/3b + 15/4). Also the slash means "out of blank"

Mathematics
1 answer:
miss Akunina [59]3 years ago
8 0
\frac{12}{5} ( \frac{10}{3} b+ \frac{15}{4} )=
 \frac{120}{15}b+ \frac{180}{20}=8b+98b+9
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Solve the equation 40 = -10(y+0.3). what does the y equal​
alexdok [17]

Answer:

y = -4.3

Step-by-step explanation:

40 = -10(y + 0.3) <em>{Step 1: Use the distributive property to multiply -10 by y + 0.3}</em>

40 = -10y + -10(0.3)

40 = -10y - 3 <em>{Step 2: Add 3 to both sides.}</em>

40 + 3 = -10y

43 = -10y <em>{Step 3: Divide both sides by -10}</em>

43/-10 = y

-4.3 = y

y equals -4.3.

4 0
3 years ago
Read 2 more answers
Use the properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic
seraphim [82]

Answer:

xvdsltoqk73jyeu54344y5eg62iuyeytmemymduememwu

6 0
3 years ago
Abby is registering at a Web site and must select a six-character password.The password can contain either letters or digits.
zaharov [31]

Answer:

a. 2176782336 with repeated characters. 1402410240 with no repeated characters.

b. 7964171460 when all letters can be repeated, but not numbers. 118813760 when only one number and letters can be repeated.

I believe that the password with all letters able to repeat and numbers not being able to is the most secure password, because if someone were to guess the password there is a 1/7964171460 chance of guessing the password.

Step-by-step explanation:

A. Since there are 26 different letters and 10 different numbers, there are 36 characters we can type. If characters can be repeated then, there is 2176782336 different passwords, since on all six number there are 36 possibilities each. So, 36 x 36 x 36 x 36 x 36 x 36 or 36^6 is to evaluated to find the answer. If characters are not to be repeated, there are 1402410240 different passwords, since on the first number there are 36, second has 35, third has 34, fourth has 33, fifth has 32, and sixth has 31. So, 36 x 35 x 34 x 33 x 32 x 31 is to be evaluated to solve this.

B. Since all characters that are letters can be repeated, then there are 26 letters to use forever and 10 numbers you can use with a limit. So, 36 x 35 x 34 x 33 x 32 x 31 which is to be solved if only numbers were to be used, which is 1402410240. Then, you add that with 36 x 35^5 and 36 x 35 x 34^4 and 36 x 35 x 34 x 33^3 and 36 x 35 x 34 x 33 x 32^2. which will be 7964171460. If the password must contain one digit, then you must multiply 10 with 26^5. Since, there is 10 different digits to use for the first number and 26 letters to choose from for the other five. So, it will be 26^5 times 10 which is 118813760.

6 0
3 years ago
About 70% of Australia's population are of British descent. If Australia's population is 25
neonofarm [45]

Answer:

17,500,000 people

Step-by-step explanation:

70% can be rewritten as 0.7 time 25 million

0.7*25,000,000 = 17,500,000

7 0
2 years ago
Find all the values of x in the set of complex numbers that satisfy the following equation:
Fynjy0 [20]
Compute all the component integrals first:

I_1=\displaystyle\int_0^{\pi/4}2\sec x\,\mathrm dx=2\ln(\sqrt2+1)
I_2=\displaystyle\int_0^2\ln x\,\mathrm dx=2(\ln2-1)
I_3=\displaystyle\lim_{a\to\infty}\int_{-a}^a\frac{\mathrm dx}{x^2+1}=\pi

Now,

\sqrt2\approx1.4\implies \sqrt2+1\approx2.4
\implies \left\lceil I_1\right\rceil=2

e
\implies\left\lfloor I_2\right\rfloor=-1

\pi\approx3.14\implies\left\lceil I_3\right\rceil=4

So the given equation reduces to

\displaystyle\sum_{k=-1}^2\frac{\mathrm d}{\mathrm dx}x^{k+2}=1-4!
\dfrac{\mathrm dx}{\mathrm dx}+\dfrac{\mathrm dx^2}{\mathrm dx}+\dfrac{\mathrm dx^3}{\mathrm dx}+\dfrac{\mathrm dx^4}{\mathrm dx}=-23
4x^3+3x^2+2x+24=0

a fairly standard cubic. Incidentally, when x=-2, the LHS reduces to 0, so x+2 is a factor of the cubic. You can find the remaining two solutions easily with the quadratic formula.
5 0
3 years ago
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