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Molodets [167]
3 years ago
8

The function f(x) varies inversely with x and f(x) 0.2 when x= 0.4.

Mathematics
2 answers:
zhannawk [14.2K]3 years ago
7 0
I hope this helps you

chubhunter [2.5K]3 years ago
6 0

Answer:

The answer is B. 0.05.

Step-by-step explanation:

To solve this problem we have that the equation varies inversely with x, so we can suppose that the equation have this form (because when x is higher f(x) will be lower):

f(x)=\frac{a}{x}

Having this and using the initial values we can find the a value:

f(x)=0.2\\x=0.4\\

Replacing this values in the initial equation and clearing it, we have:

a=0.2*0.4=0.08

knowing that a is 0.08 we can use the new x value to find the new f(x), this is:

f(x)=\frac{0.08}{x}=\frac{0.08}{1.6}=0.05

Based on this the answer is B. 0.05.

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Angle ABC is taken by a dilation with the center P and scale factor 3 to angle A'B'C'
xxTIMURxx [149]

Answer: 21

Step-by-step explanation: We are given that angle ABC is dilated with center P.

Scale factor=3

Angle A'B'C' is formed after dilation of angle ABC.

Dilation: when a figure is dilated by scale factor a then, the figure shape does not change.

After dilation, the size of figure changes.

The initial figure and the figure obtained after dilation are similar in shape.

When two figures are similar then , the angles of one figure are  congruent to its corresponding angles in other figure and ratio of their corresponding sides are equal.

The measure of angle ABC=21'

After dilation by scale factor 3 then, the measure of angle A'B'C' remains=21'

Because the shape does not change in dilation transformation.

8 0
3 years ago
Indicate whether the observational study used is cross-sectional, retrospective or prospective: Researchers from the National In
sp2606 [1]

Answer:

Cross-sectional

Step-by-step explanation:

Cross sectional study is a type of observational study that analyzes data from a population of a representative subset at a particular point in time.

4 0
3 years ago
Find the perimeter of the parallelogram with these vertices.<br> (-2, 2), (-2,-2), (3,-2), (3, -6)
vladimir1956 [14]

Answer:

20.80624847

Step-by-step explanation:

8 0
3 years ago
What is the answer to 2 and 3/4 +4/5
elena-14-01-66 [18.8K]
71/20 i believe. Is it multiple choice?
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3 years ago
George bought 7 quarts of cleaning fluid: x quarts at $3.00 per quart &amp; y quarts at $2.00 per quart. Find x &amp; y if the t
PolarNik [594]

Answer:

3x + 2y = 16

x = 2 , y = 5

Step-by-step explanation:

Given that George bought x quarts at $3.00 per quart & y quarts at $2.00 per quart and he bought 7 quarts for $16.00

Considering the total cost

3x + 2y = 16

For the cost of each

x + y = 7

solving the 2 equations simultaneously be substitution

x = 7 - y

3(7 - y) + 2y = 16

21 - 3y + 2y = 16

-3y + 2y = 16 - 21

-y = - 5

Divide both sides by -1

y = 5

x = 7 -y

x = 7 - 5

= 2

7 0
3 years ago
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