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3 years ago

15

A bottle is filled with saline solution for eyes, is the bottle more likely to hold 15 milliliters of solution or 1 liter of sol

ution?

1 answer:

Gnesinka [82]3 years ago

3 0

The bottle is more likely to hold 15 milliliters

hope this helped

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henry has 68 miles to destination after 45 minutes and 51.5 miles to destination after 71 minutes of driving. How many miles to

Airida [17]

Let d represent the distance of the destination from the starting point.

After 45 min, Henry has already driven d-68 miles. After 71 min., he has already driven d-51.5 miles.

So we have 2 points on a straight line:

(45,d-68) and (71,d-51.5). Let's find the slope of the line thru these 2 points:

d-51.5 - (d-68) 16.5 miles
slope of line = m = ----------------------- = ------------------
71 - 45 26 min

Thus, the slope, m, is m = 0.635 miles/min

The distance to his destination would be d - (0.635 miles/min)(79 min), or

d - 50.135 miles. We don't know how far his destination is from his starting point, so represent that by "d."

After 45 minutes: Henry has d - 68 miles to go;

After 71 minutes, he has d - 51.5 miles to go; and

After 79 minutes, he has d - x miles to go. We need to find x.

Actually, much of this is unnecessary. Assuming that Henry's speed is 0.635 miles/ min, and knowing that there are 8 minutes between 71 and 79 minutes, we can figure that the distance traveled during those 8 minutes is

(0.635 miles/min)(8 min) = 5.08 miles. Subtracting thix from 51.5 miles, we conclude that after 79 minutes, Henry has (51.5-5.08), or 46.42, miles left before he reaches his destination.

7 0

3 years ago

ABCD is a rhombus, where m∠AED = 5x – 10. Use the properties of a rhombus to determine the value of x. Question 10 options: A) x

fomenos

Answer:

A) x = 20

Step-by-step explanation:

ABCD is a rhombus, AC and BD are diagonals which intersect each other at point E.

Since, diagonals of a rhombus are perpendicular bisector.

$\therefore \: m \angle AED = 90 \degree \\ \therefore \: (5x - 10) \degree = 90 \degree \\ \therefore \: 5x - 10 = 90 \\ \therefore \: 5x = 90 + 10 \\ \therefore \: 5x = 100 \\ \\ \therefore \: x = \frac{100}{5} \\ \\ \huge \red{ \boxed{ \therefore \: x =20}}$

5 0

3 years ago

√2+1<br> b) Rationalize the denominator:<br> √2+1

Misha Larkins [42]

Answer:

there is not a complete question here ...

$\sqrt{2} +1$ is not in a denominator to rationalize

if it were you would multiply the rational expression (the fraction)

by $\frac{\sqrt{2} -1}{\sqrt{2} -1}$ the result (in the denominator would end up being "2 -1"

which is 1

Step-by-step explanation:

4 0

3 years ago

The exponential function f(x) = 2^x undergoes two transformations to

Eddi Din [679]

Option A: It is vertically stretched

Option B: it is shifted down

Solution:

The exponential function $f(x)=2^{x}$ undergoes two transformations to $g(x)=5 \cdot 2^{x}-3$ .

<u>To determine how the graph changes:</u>

Consider the given exponential function $f(x)=2^{x}$ .

Let y = f(x)

Vertically compressed or stretched:

A vertically compression (stretched) of a graph is compressing the graph toward x-axis.

• if k > 1 , then the graph y = k• f(x) , the graph will be vertically stretched by multiplying each y coordinate by k.

• if 0 < k < 1 if 0 < k < 1 , the graph is f(x) vertically shrunk (or compressed) by multiplying each of its y-coordinates by k.

• if k should be negative, the vertical stretch or shrink is followed by a reflection across the x-axis.

Here, k = 5

So the graph will be vertically stretched.

Also, Adding 3 to the graph will move the graph 3 units down so, the graph is shifted down.

So, The graph is shifted down.

Hence option A and option B is the correct answer.

5 0

3 years ago

24x + 30x = 3x + 24 + 4

Alinara [238K]

24x + 30x = 3x + 24 + 4

54x=3x+24+4

54x=3x+28

54x-3x=28

51x=28

X=28/51

7 0

3 years ago

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