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denpristay [2]
3 years ago
13

Percents can be expressed as fractions and decimals. A percent means “out of 100,” so we can express 40% as the fraction 40⁄100.

We can simplify this fraction to2⁄5 by dividing by the greatest common factor, 20.
We can also express a percent as a decimal. Percents show a part out of a hundred, or hundredths, so you can divide the percent by 100 to find the decimal. 40 divided by 100 equals 40 hundredths, or .4. You can also divide the numerator by the denominator in the simplified fraction, 2⁄5, to find the equivalent decimal.


These values are all equivalent.

75% =

A
75/10

B
2/3

C
3/4

D
3/5
Mathematics
1 answer:
stiks02 [169]3 years ago
5 0

Answer:

Definitely 3/4!

Step-by-step explanation:

Option A = 7.5

Option B = 66.6%

Option C = 75% (because 25 times 4 is equal to 100%, so 25 times 3 would be 75)

Option D = 6/10 or 60%

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Which of the following function types exhibit the end behavior f(x)-->0 as x --> -infinity?
ipn [44]
Let's consider the functions one by one.

i) y=x^n,

x --> -infinity means that x is a very very small negative number. To model it in our mind let's think of -10^{15}. This number to an even power becomes 10^{30}, 10^{60}... etc.

Indeed, we can see that the smaller the x, the greater the value x^n. In fact, as x --> -infinity,  f(x)-->+infinity.

ii)
y=x, 

this clearly means that the behaviors of x and y are identical.

As x --> -infinity, y --> -infinity as well.


iii) y=|x|,

We can think of x --> -infinity, again, as a very very small number, like -10^{15}. For this value of x, y is |-10^{15}|, that is 10^{15}.

Indeed, the smaller the x, the greater the y. As in the function in part (i), as x --> -infinity,  f(x)-->+infinity.

iv) 

y=1/x

consider the values of y for the following values of x:

for x=-10, -100, -1000, y is respectively -0.1, -0.01, -0.001.

We can see that the smaller the x, the closer y gets to 0.

Thus, <span>f(x)-->0 as x --> -infinity
</span>
v) n'th root of x in not defined for negative x, when n is even.

vi) y=b^x, b>0

Here note that b cannot be equal to 1, otherwise the function is not exponential.

Let b=5, consider the values of y for the following values of x:

for x=-10, -100, -1000, y is respectively \displaystyle{ \frac{1}{5^{10}},  \frac{1}{5^{100}}, \frac{1}{5^{1000}}.

That is, the smaller the value of x, the closer y gets to 0.

Thus, <span>f(x)-->0 as x --> -infinity</span>
5 0
3 years ago
Bart budgeted $285.75 each month for utilities. His utility bills this month were $130.50 for electric, and $240 for gas. How mu
iren2701 [21]

Answer:

$84.75 over budget

Step-by-step explanation:

Barts' budget is 285.75

Bills: 240 + 130.50 = $370.50

(subract by his budget)

370.5 - 285.75 = $84.74

:)

4 0
3 years ago
Please help for online school
Stels [109]

Answer:

4

Step-by-step explanation:

The diagram shows that the one triangle can be divided into two equal right triangles.  Because of this, you can use the Pythagorean Theorem to solve this problem.  a and b are the two sides of the angles, and c is the hypotenuse.

The given lengths are 5 as the hypotenuse and 3 as one length.  (You have 3 as a given length because the two triangles have a length of 6  on one side.  6/2 = 3)

a² + b² = c²

a² = c² - b²

a² = 5² - 3²

a² = 25² - 9²

a² = 16

a = 4

4 0
3 years ago
X+56&lt;533. What is the solution of the inequality?
swat32
X<477


hope this helps<3
7 0
3 years ago
Which equation represents the data in this function table?
777dan777 [17]

Answer:

a

Step-by-step explanation:

because its easy

6 0
3 years ago
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