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bogdanovich [222]
3 years ago
12

(a) Amy pumped 35 gallons of water out of her pool. This was done over a period of 5 minutes at

Mathematics
1 answer:
Dafna11 [192]3 years ago
6 0

Answer:

7 gallons

Step-by-step explanation:

35 gallons: 5 minutes

find constant rate(one min per x number of gallons)

35:5

divide by 5 to get one minute

7:1

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¿Cuál de los siguientes puntos no pertenece a la función cuadrática f(x) = 1-x^2 ?
dusya [7]

Answer:

<h2>A. (0,1)</h2>

Step-by-step explanation:

The question lacks the e=required option. Find the complete question below with options.

Which of the following points does not belong to the quadratic function

f(x) = 1-x²?

a.(0,1) b.(1,0) c.(-1,0)

Let f(x) = 0

The equation becomes 1-x² = 0

Solving 1-x² = 0 for x;

subtract 1 from both sides;

1-x²-1 = 0-1

-x² = -1

multiply both sides by minus sign

-(-x²) = -(-1)

x² = 1

take square root of both sides;

√x² = ±√1

x = ±1

x = 1 and x = -1

when x = 1

f(x) = y = 1-1²

y = 1-1

y = 0

when x = -1

f(x) = y = 1-(-1)²

y = 1-1

y = 0

Hence the coordinate of the function f(x) = 1-x² are (±1, 0) i.e (1, 0) and (-1, 0). The point that does not belong to the quadratic function is (0, 1)

3 0
3 years ago
The dimensions of a large doghouse are 2 1/2 times the dimensions of a small doghouse.
Juliette [100K]
A. 5 feet in width of the large doghouse
B. 5 and 5/8 in length
5 0
4 years ago
Y" - 4y = ((x^2) - 3) sin 2x
Gekata [30.6K]
Well i did this in my notes and i found this 

8 0
3 years ago
PLEASE HELP
sweet-ann [11.9K]

Answer:

m < ANM = 36 degrees.

AM = 9.40 cm to the nearest hundredth.

Perimeter =  94.05 cm to the nearest hundredth.

Step-by-step explanation:

As we have a regular pentagon:

m < ANB = 360 / 5

= 72 degrees

So m < ANM = 1/2 * 72

= 36 degrees.

In the triangle ANM, AN = 16 so

sin 36 = Am / 16

AM =  16 sin36

= 9.4045 cm.

AB = 2 * AM = 18.809 cm

So as all sides are equal:

Perimeter = 5 * 18.809

= 94.05 cm.

4 0
3 years ago
A bag contains 240 marbles that are either red, blue, or green. The ratio of red to blue to green marbles is 5:2:1. If one-third
Andrej [43]

The fraction of the remaining marbles in the bag will be blue is 6/17.

<h3>What fraction of the remaining marbles in the bag will be blue?</h3>

The first step is to determine the initial number of marbles in the bag:

Initial number of red marbles in the bag : (5/8) x 240 = 150

Initial number of blue marbles in the bag : (2/8) x 240 = 60

Initial number of green marbles in the bag : 240 - 150 - 60 = 30

Number of red marbles remaining after 1/3 is removed = (1 - 1/3) x 150

2/3 x 150 = 100

Number of green marbles remaining after 2/3 is removed = (1 - 2/3) x 30

1/3 x 30 = 10

Total number of marbles now in the bag : 100 + 10 + 60 = 170

Fraction of blue marbles = 60 / 170 = 6/17

To learn more about ratios, please check: brainly.com/question/9194979

#SPJ1

7 0
2 years ago
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