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antoniya [11.8K]
3 years ago
7

What happens to the value of the expression \dfrac5x+5 x 5 ​ +5start fraction, 5, divided by, x, end fraction, plus, 5 as xxx de

creases from a large positive number to a small positive number?
Mathematics
2 answers:
Nata [24]3 years ago
6 0

Answer: On khan academy, it stays the same

Step-by-step explanation:

The answer is C

aleksandr82 [10.1K]3 years ago
5 0

Answer:

It increases

Step-by-step explanation:

(5/x) + 5

As x decreases, 5/x increases.  So the expression increases.

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If a bloodstain has a length of 3.0cm and a width of 1.5cm what is the angle of impact?
zalisa [80]

The angle of impact is 30°

<h3>What is the angle of impact?</h3>

In a bloodstain, the angle of impact can be used to determine the appearance of the resulting bloodstain if the bloodstain has a tail or pattern.

  • Bloodstain pattern analysis is the study of bloodstains at a scene of the crime in an attempt to reconstruct the events that resulted in the bloodshed.

Mathematically;

\mathbf{Angle  \ of \  impact = sin^{-1} (\dfrac{width \ stain}{length \ stain} )}

\mathbf{Angle  \ of \  impact = sin^{-1} (\dfrac{1.5}{3.0} )}

\mathbf{Angle  \ of \  impact = 30 ^0}

Learn more about the angle of impact here:
brainly.com/question/19423063

6 0
2 years ago
.At a certain animal shelter, the ratio of puppies to adult dogs is 7 to 4. This week there are a total of55 dogs in the shelter
Advocard [28]

Answer:

There are 35 adult dogs and 20 puppies

<em></em>

Step-by-step explanation:

<em>Represent the puppies with P and the Adult dogs with A</em>

Given

A : P = 7 : 4

Dogs = 55

Required

Determine A and P

First, we need to sum the ratios;

Total = A + P

Total = 7 + 4

Total = 11

Adult Dogs is then calculated as follows;

A = \frac{A\ Ratio}{Total} * Dogs

A = \frac{7}{11} * 55

A = \frac{385}{11}

A = 35

Puppies is calculated by subtracting the number of adult dogs from the total

P = Dogs - Adult\ Dogs

P = 55 - 35

P = 20

<em>Hence;</em>

<em>There are 35 adult dogs and 20 puppies</em>

3 0
3 years ago
What is the equation written in vertex from of a parabola with a vertex of (4, –2) that passes through (2, –14)?
vichka [17]

Answer:

y = -3(x - 4)² - 2

Step-by-step explanation:

Given the vertex, (4, -2), and the point (2, -14):

We can use the vertex form of the quadratic equation:

y = a(x - h)² + k

Where:

(h, k) = vertex

a  =  determines whether the graph opens up or down, and it also makes the parent function <u>wider</u> or <u>narrower</u>.

  • <u>positive</u> value of a = opens <u><em>upward</em></u>
  • <u>negative</u> value of a = opens <u><em>downward</em></u>
  • a is between 0 and 1, (0 < a < 1) the graph is <u><em>wider</em></u> than the parent function.
  • a > 1, the graph is <u><em>narrower</em></u> than the parent function.

<em>h </em>=<em> </em>determines how far left or right the parent function is translated.

  • h = positive, the function is translated <em>h</em> units to the right.
  • h = negative, the function is translated |<em>h</em>| units to the left.

<em>k</em> determines how far up or down the parent function is translated.

  • k = positive: translate <em>k</em> units <u><em>up</em></u>.
  • k = negative, translate <em>k</em> units <u><em>down</em></u>.

Now that I've set up the definitions for each variable of the vertex form, we can determine the quadratic equation using the given vertex and the point:

vertex (h, k): (4, -2)

point (x, y): (2, -14)

Substitute these values into the vertex form to solve for a:

y = a(x - h)² + k

-14 = a(2 - 4)²  -2

-14 = a (-2)² -2

-14 = a4 + -2

Add to to both sides:

-14 + 2 = a4 + -2 + 2

-12 = 4a

Divide both sides by 4 to solve for a:

-12/4 = 4a/4

-3 = a

Therefore, the quadratic equation inI vertex form is:

y = -3(x - 4)² - 2

The parabola is downward-facing, and is vertically compressed by a factor of -3. The graph is also horizontally translated 4 units to the right, and vertically translated 2 units down.

Attached is a screenshot of the graph where it shows the vertex and the given point, using the vertex form that I came up with.

Please mark my answers as the Brainliest, if you find this helpful :)

8 0
2 years ago
HELPPP
kow [346]

Answer:

the second one

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
A 35 foot rope is cut into two pieces with one section 6 times as long as the other section, how is the shorter piece?
guajiro [1.7K]
-------------------------------------------
Define x:
-------------------------------------------
Let the shorter piece be x.
Shorter piece = x
Longer piece = 6x

-------------------------------------------
Construct equation:
-------------------------------------------
x +6x =35
7x = 35
x =5

-------------------------------------------
Find the length:
-------------------------------------------
Shorter length = x = 5 feet
Larger length = 6x = 6(5) = 30 feet

-------------------------------------------
Answer: The shorter piece is 5 feet.
-------------------------------------------
4 0
3 years ago
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