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Gemiola [76]
3 years ago
12

The function f(x) varies inversely with x and f(x)=0.5 when x =0.3. what is f(x) when x=2.4?

Mathematics
1 answer:
liraira [26]3 years ago
8 0

Answer:

0.0625

Step-by-step explanation:

If the function f(x) varies inversely with x, then this function is of the form

f(x)=\dfrac{a}{x},

where a is unknown number.

Since  f(x)=0.5 when x =0.3, then

0.5=\dfrac{a}{0.3},\\ \\a=0.5\cdot 0.3=0.15.

Therefore, the function is

f(x)=\dfrac{0.15}{x},

Now when x=2.4,

f(2.4)=\dfrac{0.15}{2.4}=\dfrac{15}{240}=\dfrac{1}{16}=0.0625.

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Answer:

The two column proof is presented as follows;

The given parameters are;

\overline {AD} = \overline {DC} and \overline {AB} = \overline {BC}

Statement               {}                     Reason

\overline {AD} = \overline {DC} and \overline {AB} = \overline {BC}       {}       Given

\overline {BD}  ≅  \overline {BD}               {}                    Reflexive property

\overline {BD}  =  \overline {BD}               {}                     By the definition of congruency

ΔADB ≅ ΔCDB             {}                By Side-Side-Side (SSS) rule of congruency

ΔADB = ΔCDB              {}                 By the definition of congruency

If the three sides of one triangle are congruent to the corresponding three sides of another triangle, then both triangles are said to be congruent according to the SSS rule of congruency

Step-by-step explanation:

7 0
3 years ago
A rectangular based prism has a length of
bazaltina [42]

Answer:

924m^3 is the volume of the rectangular prism

7 0
3 years ago
Need help with this math question <br>will give 5 stars and mark best<br>​
Stolb23 [73]
I used similarities in triangles

5 0
2 years ago
Which statement is true about whether A and B are independent events? A and B are independent events because P(A∣B) = P(A) = 0.1
love history [14]
The events A and B are independent if the  probability that event A occurs does not affect the probability that event B occurs.
A and B are independent if the equation P(A∩B) = P(A) P(B) holds true.
P(A∩B) is the probability that both event A and B occur.
Conditional probability is the probability of an event given that some other event first occurs.
P(B|A)=P(A∩B)/P(A)
In the case where events<span> A and B are </span>independent<span> the </span>conditional probability<span> of </span>event<span> B given </span>event<span> A is simply the </span>probability<span> of </span>event<span> B, that is P(B).</span>
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Statement 2:<span>A and B are independent events because P(A∣B) = P(A) = 0.25.
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5 0
3 years ago
Read 2 more answers
Find the area of each figure, round to the nearest tenth if necessary.USE 3.14 for pi
Nina [5.8K]

Answer:

11 is 405, 12 is 107.5, 13 im not sure of

Step-by-step explanation:

First on 11 you can just do 21*21 (the big square) and subtract that by 36 (which is 6*6, the small square), you'll get 107.5.

Then on 12, it is made up of a large rectangle, a small triangle, and a flatter triangle. The top triangle's formula is 1/2(7*3) which = 10.5. The big rectangle is 13*7 = 91. The last triangle is 1/2(4*3) which = 6. It is 3 because 13-10. Add all those up and you should get 107.5.

And I just want to know on number 13 if that 11 is the radius or diameter. I can't seem to tell.

7 0
3 years ago
Read 2 more answers
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