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3 years ago

Which expression means 56? A) 5 × 5 × 5 × 5 × 5 × 5 B) 6 × 6 × 6 × 6 × 6 × 6 × 6 C) 6 × 5 D) 5 6

2 answers:

7 0

It isn't going to be anything with a 5 as a factor (if it has something multiplied by 5) because all multiples of 5 end in either 5 or 0 so it isn't A or C.
It isn't B because that expression has 7 6s and 6×6×6=216 which is already larger than 56.
That only leaves D

Hope this helps :)

Alja [10]3 years ago

6 0

If u mean 5^6, it is 5 x 5 x 5 x 5 x 5 x 5

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Help please! I need this asap!!!!!

DiKsa [7]

Answer:

$\displaystyle \frac{a^2 }{b^2}=\frac{4}{9}$

$\displaystyle \frac{a}{b}=\frac{2}{3}$

$\displaystyle \frac{a^3}{b^3}=\frac{8}{27}$

Step-by-step explanation:

Ratios and Proportions

The ratio between two numbers x and y is defined as x/y. It measures how many times y is contained in x. For example 12/8 = 1.5 means 12 is 1.5 times 8.

We have two key sets of data: the ratio between the surface areas of the cylinders and the fact that the radius and heights of the cylinders come in the same proportion.

First, we can easily compute the ratio of the surface areas

$\displaystyle \frac{Area_1}{Area_2}=\frac{8\pi \ in^2 }{18\pi \ in^2}=\frac{4}{9}$

It gives us the relation

$\displaystyle \frac{a^2 }{b^2}=\frac{4}{9}$

Computing the square root

$\displaystyle \frac{a}{b}=\frac{2}{3}$

Computing the cube

$\displaystyle \frac{a^3}{b^3}=\frac{8}{27}$

6 0

3 years ago

One method of slowing the growth of an insect population without using pesticides is to introduce into the population a number o

Zielflug [23.3K]

To be clear, the given relation between time and female population is an integral:
 $t = \int { \frac{P+S}{P[(r - 1)P - S]} } \,
dP$

The problem says that r = 1.2 and S = 400, therefore substituting:
 $t = \int { \frac{P+400}{P[(1.2 - 1)P - 400]}
} \, dP$ 

= $
\int { \frac{P+400}{P(0.2P - 400)} } \, dP$

In order to evaluate this integral, we need to write this rational function in a simpler way:
 $\frac{P+400}{P(0.2P - 400)} = \frac{A}{P} +
\frac{B}{(0.2P - 400)}$ 

where we need to evaluate A and B. In order to do so, let's calculate the LCD:
 $\frac{P+400}{P(0.2P - 400)} = \frac{A(0.2P -
400)}{P(0.2P - 400)} + \frac{BP}{P(0.2P - 400)}$ 

the denominators cancel out and we get:
P + 400 = 0.2AP - 400A + BP
 = P(0.2A + B) - 400A

The two sides must be equal to each other, bringing the system:
 $\left \{ {{0.2A + B = 1} \atop {-400A =
400}} \right.$ 

Which can be easily solved:
 $\left \{ {{B=1.2} \atop {A=-1}} \right.$ 

Therefore, our integral can be written as:
 $t = \int { \frac{P+400}{P(0.2P - 400)} } \,
dP = \int {( \frac{-1}{P} + \frac{1.2}{0.2P-400} )} \, dP$ 
= $- \int { \frac{1}{P} \, dP +
1.2\int { \frac{1}{0.2P-400} } \, dP$ 
= $- \int { \frac{1}{P} \, dP +
6\int { \frac{0.2}{0.2P-400} } \, dP$ 
= - ln |P| + 6 ln |0.2P - 400| + C

Now, let’s evaluate C by considering that at t = 0 P = 10000:
0 = - ln |10000| + 6 ln |0.2(10000) - 400| + C
C = ln |10000| - 6 ln |1600|
C = ln (10⁴) - 6 ln (2⁶·5²)
C = 4 ln (10) - 36 ln (2) - 12 ln (5) 
 Therefore, the equation relating female population with time requested is:
t = - ln |P| + 6 ln |0.2P - 400| + 4 ln (10) - 36 ln (2) - 12 ln (5)

8 0

3 years ago

What is a multiple a factor and prime numbers?

tamaranim1 [39]

A prime number is a number that can be ONLY divided by itself and 1
For example - 7 is a prime number as it can be only divided by itself and 1
Hope it helped ❤

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dimaraw [331]

Answer:

Step-by-step explanation:

mmm

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3 years ago

What is the slope of the graph of x - 2y=8? O 0 O1/2 O2 O-1/2

kumpel [21]

Answer:1/2

Step-by-step explanation:

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2 years ago

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