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ra1l [238]
3 years ago
14

D Question 5 5. Given A is between Y and Z and YA = 14x, AZ = 10x and YZ = 12x + 48, find AZ​

Mathematics
1 answer:
Anna007 [38]3 years ago
3 0

Answer:

Step-by-step explanation:

If A is in between Y and Z, then;

YA+AZ = YZ

Given.

YA = 14x,

AZ = 10x and

YZ = 12x + 48

Substitute into the formula

14x+10x = 12x+48

Find x;

24x = 12x+48

24x-12x = 48

12x = 48

x = 48/12

x = 4

Get AZ

AZ = 10x

AZ =10(4)

AZ = 40

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One of them is 30 degrees and the other is 60 degrees
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3 years ago
Let f(x)=18/1+3^e-0.1x What is the point of maximum growth rate for the logistic function f(x)? Show all work. Round your answer
xz_007 [3.2K]

Answer:

(0, 4.5)

Step-by-step explanation:

*The equation can be put into Desmos, to find the point, but the work to prove it is here*

f(x)=c/1+Ae^-Bx

Y=C

C=18      A=3      -B=-0.1

*Replace x with 0 in the equation, so you know 0 is the x value, and it leads you to the y value*

f(0)=18/1+3e^-o.1(0)

= 18/1+3e^0

=18/1+3(1)

=18/1+3

=18/4

=4.5

x=0    y=4.5

Maximum growth rate = (x,y) --> (0, 4.5)

Hope this helps:))!!

5 0
3 years ago
Cosx=4/5 what is sin2x cos2x and tan2x
earnstyle [38]

Answer:

-24/5

Step-by-step explanation:

The solution to the problem is as follows:

cscx < 0 means 1/sinx < 0, or sinx < 0.  

sinx = -3/5 because you're dealing with a 3-4-5 triangle, and we established

sinx is negative.  

sin2x = 2sinxcosx = 2*-3/5*4/5 = -24/25  

cos(2x) = cos^2(x) - sin^2(x) = 16/25 - 9/25 = 5/25 = 1/5  

tan2x = sin2x / cos2x = -24/5

4 0
3 years ago
Solve for x <br> A 15 <br> B 16<br> C 2.4<br> D 12
Ne4ueva [31]

Answer: bd=8 dc=2 and ae=4 so value of ab=16

Step-by-step explanation:

7 0
3 years ago
A wireless company offers two cell phone plans. For the month of September, Plan A charges $35 plus $0.25 per minute for calls.
valentina_108 [34]

Answer:

60 minutes

Step-by-step explanation:

Let the number of minutes be represented as x

For Plan A

Plan A charges $35 plus $0.25 per minute for calls.

$35 + $0.25 × x

35 + 0.25x

For Plan B

Plan B charges $20 plus $0.50 per minute for calls.

$20 + $0.50 × x

20 + 0.50x

For what number of minutes do both plans cost the same amount?

This is calculated by equating Plan A to Plan B

Plan A = Plan B

35 + 0.25x = 20 + 0.50x

Collect like terms

35 - 20 = 0.50x - 0.25x

15 = 0.25x

x = 15/0.25

x = 60 minutes.

Hence, the number of minutes that both plans cost the same amount is 60 minutes

7 0
3 years ago
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