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vlada-n [284]
2 years ago
14

If D = w2 - 7 and C = 3 + 10w, find an expression that equals D C in standard form.

Mathematics
1 answer:
solniwko [45]2 years ago
7 0

W^2-10w-10

Step-by-step explanation:

D=w^2-7

C=3+10w

D-C

(W^2-7)-(3+10w)

W^2-7-3-10w

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Common ratio for 64,-16,4,-1
Gala2k [10]

Answer:

-1/4

Step-by-step explanation:

Multiplying 64 by -1/4 results in -16;

mult. -16 by -1/4 results in 4,

and so on.

The common ratio is -1/4.

5 0
4 years ago
Find the center, vertices, and foci for the ellipse 25x^2+64y^2=1600
Ronch [10]

Answer:

Step-by-step explanation:

Answer:

Data

Equation               25x² + 64y² = 1600

Process

1.- Divide all the equation by 1600

                            25x²/1600 + 64y²/ 1600 = 1600/1600

-Simplify

                             x²/64 + y²/ 25 = 1

2.- Equation of a horizontal ellipse

                            

3.- Find a, b and c

   a² = 64             a = 8

   b² = 25             b = 5

-Calculate c with the Pythagorean theorem

                  a² = b² + c²

-Solve for c

                  c² = a² - b²

-Substitution

                  c² = 8² - 5²

-Simplification

                 c² = 64 - 25

                 c² = 39

-Result

                 c = √13

4.- Find the center

         C = (0, 0)

5.- Find the vertices

         V1 = (-8, 0)     V2 = (8, 0)

6.- Find the foci

         F1 = (-√13, 0)   F2 = (√13, 0)

4 0
3 years ago
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Vertex of y= -x2+2x+1
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Answer:

(1 , 2)

Put the equation in the form "y=ax2+bx+c

Calculate the -b term, which is also the x coordinate of the vertex.

Plug in -b/2 into the equation for x and then solve for y.

6 0
3 years ago
A spinner is divided into 3 equal sections and is spun 100 times landing on blue 48 times,red 22 times, and green 30 times. What
timofeeve [1]
A. 33.3% because 100/3 is about 33.3
7 0
4 years ago
In order to estimate the mean amount of time computer users spend on the internet each month. How many computer users must be su
evablogger [386]

Answer:

Step-by-step explanation:

Given that confidence level is 95% and sample mean is within 10 minutes of the population mean.  i.e. margin of error = 10

Std deviation of population= 211 minutes

Margin of error = Z critical * std error

Std error = sigma/sq rt n = \frac{211}{\sqrt{n} }

Hence we have

\frac{211}{\sqrt{n} }\frac{211}{\sqrt{n} }*1.9641.356\\n>1710

The minimum sample size is 1710

a) There may not be 1,809 computer users to survey

4 0
3 years ago
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