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Natali [406]
4 years ago
9

Simplify the following expression 10m^6n^3/5m^2n^7

Mathematics
1 answer:
Anton [14]4 years ago
8 0
<span>−<span><span>‌<span><span><span>10<span>m6</span></span><span>n3/</span></span><span><span>5<span>m2</span></span><span>n7</span></span></span></span>‌</span></span><span>=<span><span>‌<span><span>−<span><span>10<span>m6</span></span><span>n3/</span></span></span><span><span>5<span>m2</span></span><span>n7</span></span></span></span>‌</span></span><span>=<span><span>‌<span><span>−<span>10<span>m4/</span></span></span><span>5<span>n4</span></span></span></span>‌</span></span><span>=<span>‌<span><span>−<span>2<span>m4/</span></span></span><span>n<span>4</span></span></span></span></span>
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If a scale distance of 3.5 inches on a map represent an actual distance of 175 km what actual distance does a scale distance of
gavmur [86]

Considering the definition of map and scale, an actual distance of 269.59 km represent a scale distance of 5.7 inches .

<h3>Definition of map and scale</h3>

A map is a representation of a place, at a size smaller than the real size.

The scale of a cartographic representation is the relationship of similarity between the real dimensions of the geographical space represented and those of its image on the map. That is, the scale is defined as the proportionality relationship that exists between a distance measured on the ground and its corresponding measurement on the map.

One way to represent the scale is by a fraction, which indicates the proportion between the distance on a map and its corresponding distance in reality:

Scale=\frac{distance on the map}{distance in reality}

<h3>Actual distance in this case</h3>

In this case, you know that a scale distance of 3.5 inches on a map represent an actual distance of 175 km.

To know the real distance that represents a scale distance of 5.7 inches, as the scale ratio is the same as in the previous case, it is expressed:

\frac{3.7 inches}{175 km}=\frac{5.7 inches}{distance in reality}

Solving:

\frac{3.7 inches}{175 km}×distance in reality= 5.7 inches

distance in reality= \frac{5.7 inches}{\frac{3.7 inches}{175 km}}

<u><em>distance in reality= 269.59 km</em></u>

In summary, an actual distance of 269.59 km represent a scale distance of 5.7 inches .

Learn more about map and scale:

brainly.com/question/24693076

brainly.com/question/13150795

brainly.com/question/27928319

#SPJ1

8 0
2 years ago
A survey found that 8 out of 10 parents approved of the new principal’s performance. If 4 parents name are chosen with replaceme
Natasha2012 [34]

Answer:

The probability is 0.044

Step-by-step explanation:

Step-by-step explanation:

Let p be the probability that the new principal’s performance is approved.

This is obtainable from the survey and it is 8/10 = 0.8

Let q be the probability that the new principal’s performance is disproved.

That will be;

1 - q = 1- 0.8 = 0.2

To calculate the probability that 14 parents names are chosen at random and they all

approve of the principal’s performance, we use the Bernoulli approximation of the binomial theorem.

That will be;

14C14 * p^14 * q^0

= 1 * 0.8^14 * 0.2^0

= 0.043980465111 which is approximately 0.044

8 0
3 years ago
A _____ is accepted to be true without proof, while a _____ is an assertion that can be proven using the rules of logic.A.theore
Luba_88 [7]

Answer:

  C.  postulate; theorem

Step-by-step explanation:

While a "given" is taken as true without proof, and a "problem" sometimes involves an assertion that can be proven, the answer choices involving these terms are not correct here.

The dictionary definitions of "postulate" and "theorem" apply. It is useful to learn the meaning of these terms so you can understand problems and descriptions that use them.

3 0
3 years ago
Which statement is true? Please help me
amid [387]
The second option is true: 3/6= 4/8
7 0
3 years ago
How many solutions does the following equation have?<br> x + 5 = x + 7
Oksi-84 [34.3K]
No solutions

Explanation: Any number you use, the equation of x + 7 will always be 2 more than x + 5
4 0
3 years ago
Read 2 more answers
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