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Radda [10]
2 years ago
14

Triangles H J K and L M N are congruent. Triangle H J K is rotated about point H to form triangle L N M. Triangle L M N is highe

r than triangle H J K. Two rigid transformations are used to map ΔHJK to ΔLMN. The first is a translation of vertex H to vertex L. What is the second transformation? a reflection across the line containing HK a rotation about point H a reflection across the line containing HJ a rotation about point K
Mathematics
2 answers:
Alex2 years ago
7 0

Answer:

a rotation about point H

Step-by-step explanation:

i just took the test

____ [38]2 years ago
6 0

Answer:

C: rotation the translation

Step-by-step explanation:

Just took the test on edge 2020

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Find the quantity q that maximizes profit if the total revenue, R(q), and total cost, C(q) are given in dollars by R(q)=3q−0.002
marysya [2.9K]

Answer:

The value of q that maximize the profit is q=200 units

Step-by-step explanation:

we know that

The profit is equal to the revenue minus the cost

we have

R(q)=3q-0.002q^{2} ---> the revenue

C(q)=200+2.2q ---> the cost

The profit  P(q) is equal to

P(q)=R(q)-C(q)

substitute the given values

P(q)=(3q-0.002q^{2})-(200+2.2q)

P(q)=3q-0.002q^{2}-200-2.2q

P(q)=-0.002q^{2}+0.8q-200

This is a vertical parabola open downward (because the leading coefficient is negative)

The vertex represent a maximum

The x-coordinate of the vertex represent the value of q that maximize the profit

The y-coordinate of the vertex represent the maximum profit

using a graphing tool

Graph the quadratic equation

The vertex is the point (200,-120)

see the attached figure

therefore

The value of q that maximize the profit is q=200 units

6 0
2 years ago
16.A guidance counselor is planning schedules for 30 students. Sixteen students say they want to take French, 16 want to take Sp
MariettaO [177]

Answer:7

Step-by-step explanation:

This can be solved by Venn-diagram

Given there  are total 5 students who want french and Latin

also 3 among them want Spanish,french & Latin

i.e. only 2 students wants both french and Latin only.

Also Student who want only Latin is 5

Thus Student who wants Latin and Spanish both only is 11-5-3-2=1

Students who want only Spanish is 8 Thus students who wants Spanish and French is 4

Similarly Students who wants Only French is 16-4-3-2=7

8 0
2 years ago
Read 2 more answers
The bird house in your friend's yard casts a shadow that is 14 feet long. Your friend is 5 feet tall and casts a shadow that is
astra-53 [7]
3.5/5=14/x   20ft tall
3 0
2 years ago
A company’s equipment manager buys $7,000 worth of equipment. This equipment depreciates 19% each year. The manager can replace
kolezko [41]

Answer:

13 (c)

Step-by-step explanation:

Graph the equation 7000(1-0.19)^x and then the inequality y<500, the point of intersection should be 12.524, so the answer will be rounded up to 13 i think

7 0
2 years ago
Read 2 more answers
In a health club, research shows that on average, patrons spend an average of 42.5 minutes on the treadmill, with a standard dev
Paha777 [63]

Answer:

0.3114

Option d is right

Step-by-step explanation:

Let X be the time spent on a treadmill in the health club

Given that  research shows that on average, patrons spend an average of 42.5 minutes on the treadmill, with a standard deviation of 5.4 minutes

Also given that X is normal

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= P(30

round off to two decimals tog et

the probability that randomly selected individual would spent between 30 and 40 minutes on the treadmill is 0.31

Hence option d is right

3 0
2 years ago
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