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pashok25 [27]
3 years ago
10

Find (3 × 104) + (7 × 102). A) 3.07 × 102 Eliminate B) 3.07 × 104 C) 3.70 × 102 D) 3.70 × 104

Mathematics
2 answers:
Goryan [66]3 years ago
6 0
Nice and simple. PEMDAS. Parentheses, exponents, multiple, division, addiction, subtraction.

The first thing you do is solve the numbers in the parenthesis, which would turn to 

(312) + (714) = 1026
cricket20 [7]3 years ago
6 0

Answer:

The answer is b

Step-by-step explanation:

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Why did the feudal system rely on a high degree of local independence?
kobusy [5.1K]

Answer:Feudalism helped protect communities from the violence and warfare that broke out after the fall of Rome and the collapse of strong central government in Western Europe. Feudalism secured Western Europe's society and kept out powerful invaders. Feudalism helped restore trade. Lords repaired bridges and roads.

Step-by-step explanation:

6 0
3 years ago
Solve the following quadratic equation<br>x+12x+36 - 16​
Doss [256]

Answer:

x= -2, x= -10

Step-by-step explanation:

x^2 + 12x + 36 = 16

Began by setting this quadratic equation to 0. To do this, in this equation you must subtract.

x^2+12x+20=0

Next, we plug this into the quadratic formula, where a in this case is 1(there is nothing in front of x^2), b is equaled to 12(there is a 12 as the coeefficient of 12x), and c is equaled to 20.

The quadratic formula is as goes:

(-b+-(this means plus or minus)√b^2-4ac)/(2a)

After pluggin in and simplifying, the answer is x= -2 and x= -10

4 0
3 years ago
Two streams flow into a reservoir. Let X and Y be two continuous random variables representing the flow of each stream with join
zlopas [31]

Answer:

c = 0.165

Step-by-step explanation:

Given:

f(x, y) = cx y(1 + y) for 0 ≤ x ≤ 3 and 0 ≤ y ≤ 3,

f(x, y) = 0 otherwise.

Required:

The value of c

To find the value of c, we make use of the property of a joint probability distribution function which states that

\int\limits^a_b \int\limits^a_b {f(x,y)} \, dy \, dx  = 1

where a and b represent -infinity to +infinity (in other words, the bound of the distribution)

By substituting cx y(1 + y) for f(x, y)  and replacing a and b with their respective values, we have

\int\limits^3_0 \int\limits^3_0 {cxy(1+y)} \, dy \, dx  = 1

Since c is a constant, we can bring it out of the integral sign; to give us

c\int\limits^3_0 \int\limits^3_0 {xy(1+y)} \, dy \, dx  = 1

Open the bracket

c\int\limits^3_0 \int\limits^3_0 {xy+xy^{2} } \, dy \, dx  = 1

Integrate with respect to y

c\int\limits^3_0 {\frac{xy^{2}}{2}  +\frac{xy^{3}}{3} } \, dx (0,3}) = 1

Substitute 0 and 3 for y

c\int\limits^3_0 {(\frac{x* 3^{2}}{2}  +\frac{x * 3^{3}}{3} ) - (\frac{x* 0^{2}}{2}  +\frac{x * 0^{3}}{3})} \, dx = 1

c\int\limits^3_0 {(\frac{x* 9}{2}  +\frac{x * 27}{3} ) - (0  +0) \, dx = 1

c\int\limits^3_0 {(\frac{9x}{2}  +\frac{27x}{3} )  \, dx = 1

Add fraction

c\int\limits^3_0 {(\frac{27x + 54x}{6})  \, dx = 1

c\int\limits^3_0 {\frac{81x}{6}  \, dx = 1

Rewrite;

c\int\limits^3_0 (81x * \frac{1}{6})  \, dx = 1

The \frac{1}{6} is a constant, so it can be removed from the integral sign to give

c * \frac{1}{6}\int\limits^3_0 (81x )  \, dx = 1

\frac{c}{6}\int\limits^3_0 (81x )  \, dx = 1

Integrate with respect to x

\frac{c}{6} *  \frac{81x^{2}}{2}   (0,3)  = 1

Substitute 0 and 3 for x

\frac{c}{6} *  \frac{81 * 3^{2} - 81 * 0^{2}}{2}    = 1

\frac{c}{6} *  \frac{81 * 9 - 0}{2}    = 1

\frac{c}{6} *  \frac{729}{2}    = 1

\frac{729c}{12}    = 1

Multiply both sides by \frac{12}{729}

c    =  \frac{12}{729}

c    =  0.0165 (Approximately)

8 0
3 years ago
PLEASE HELP! Answer quickly for points!! There are 5 times as many tomato plants as there are cucumber plants. The number of pep
miskamm [114]
Let x= cucumber plants
5x= tomato plants
6x+7= pepper plants
peppers = 19 
therefore
6x+7=19
subtract 7 from both sides
6x= 12
 divide both sides by 6
x=2
replace the x with 2

2= cucumber plants
10= tomato plants

hope this helps
3 0
3 years ago
In each box, 15% of the total candies are cherry flavored. In a box of 20 candies, how many are cherry flavored?
adoni [48]
3 are cherried flavored.
6 0
2 years ago
Read 2 more answers
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