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AveGali [126]
2 years ago
12

Please help lol

Mathematics
1 answer:
natka813 [3]2 years ago
4 0

Answer:

the opposite of a positive number is always negative

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Maggie created this scale drawing of a soccer field, using a scale factor of 1 inch : 12 yards. She wants to make another scale
larisa [96]

The length and width of the new scale drawing is 36 inches and 24 inches respectively.

The given parameters:

  • <em>Original scale of the soccer field, 1 inch : 12 yards</em>

The original length and width of the soccer field is calculated as follows;

1 inch : 12 yards

  • original width = 6 x 12 yards = 72 yards
  • original length = 9 x 12 = 108 yards

For the new scale of 1 inch : 3 yards, the new length and width are represented as;

<em>the </em><em>new width</em><em>:</em>

\frac{1 \ inch}{x} = \frac{3 \ yards}{72 \ yards} \\\\x = 24 \ inches

<em>the </em><em>new length</em><em>:</em>

\frac{1 \ inch}{x} = \frac{3 \ yards}{108 \ yards} \\\\x = 36\ inches

Thus, the length and width of the new scale drawing is 36 inches and 24 inches respectively.

Learn more about scale drawing here:

7 0
2 years ago
An amusement park rounds its total attendance for last year to 120,000 people.
Sedbober [7]

Answer:

B

Step-by-step explanation:

B Rounded to nearest ten thousand

7 0
1 year ago
Read 2 more answers
What is the domain of F(x) = In(x)?
jekas [21]

Answer as an inequality:  x > 0

Answer in interval notation:  (0, \infty)

Answer in words: Set of positive real numbers

All three represent the same idea, but in different forms.

======================================================

Explanation:

Any log is the inverse of an exponential equation. Consider a general base b such that f(x) = b^x. The inverse of this is f^{-1}(x) = \log_b(x)

For the exponential b^x, we cannot have b^x = 0. We can get closer to it, but we can't actually get there. The horizontal asymptote is y = 0.

Because of this, \log_b(x) has a vertical asymptote x = 0 (recall that x and y swap, so the asymptotes swap as well). This means we can get closer and closer to x = 0 from the positive side, but never reach x = 0 itself.

The domain of \log_b(x) is x > 0 which in interval notation would be (0, \infty). This is the interval from 0 to infinity, excluding both endpoints.

------------------------

The natural log function Ln(x) is a special type of log function where the base is b = e = 2.718 approximately.

So,

\log_e(x) = \text{Ln}(x)

allowing all of what was discussed in the previous section to apply to this Ln(x) function as well.

------------------------

In short, the domain is the set of positive real numbers. We can't have x be 0 or negative.

8 0
3 years ago
Easy algebra question below first correct answer gets brainliest
Aliun [14]

Answer:

x =  \sqrt{5}

Step-by-step explanation:

3 {x}^{2}  + 5 {x}^{2}  = 35

8 {x}^{2}  = 35

{x}^{2}  = 5

\sqrt{ {x}^{2} }  =  \sqrt{5}

x =  \sqrt{5}

8 0
2 years ago
I need this ASAP. On a farm there are 100 total legs on people and animals. Each cow and horse has four legs, and each person ha
vlada-n [284]

Answer:

91 Humans 25 horses

Step-by-step explanation:

7 0
3 years ago
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