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vampirchik [111]
3 years ago
12

4. The constant of proportionality between the height of the water in a sink (h) in centimeters and the number of minutes it has

been filling (m) is 0.95. The sink has been filling for 40 minutes. What is the height of the water in the sink?
Mathematics
1 answer:
RUDIKE [14]3 years ago
6 0

Answer:

i got 38

Step-by-step explanation:

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Graph the system of equations. {x−y=64x+y=4
Fantom [35]
X-y=6 Equation 1
x+y=4 Equation 2

To graph the given system of equation, first find x and y-intercept of each equation.
x-y=6
When y=0
x=6  Point is (6,0)
When x=0
-y=6
y=-6  Point is (0,-6)

Now x-intercept and y-intercept for equation 2.
x+y=4
When x=0
y=4  Point is (0,4)
When y=0
x=4 Point is (4,0)

Now plot these points on the graph, the lines intersect each other at point (5,-1), which is the solution of the given system.

Answer: (5,-1)

5 0
3 years ago
Given this rectangular prism with length
34kurt

Answer: width = 36 m

Step-by-step explanation:

Width = Volume / (height x length)

Width = 13500 / (25 x 15)

= 13500/375

= 36 m

4 0
3 years ago
How many angles between 0° and 360° have a tangent of<br> of 2/3?
slega [8]

Answer:

  2

Step-by-step explanation:

The tangent is positive in quadrants I and III. There are two angles with that tangent value:

  33.96° and 213.69°

5 0
2 years ago
The price of products may increase due to inflation and decrease due to depreciation. Derek is studying the change in the price
iren [92.7K]
Part A.

1) Function given:

f(x)=0.69(1.03)^x

2) Interpretation:

initial value: => x = 0 => f(x) = 0.69

table:

x                f(x)
year          price

0              0.69

1             0.69 * 1.03 = 0.7107 => increase = 3%

2             0.69 * (1.03)^2 = 0.732021 => increase = 3%

So, the answer is that the function is increasing at 3% per year.

Part B.

3) table

<span> t (number of years)      1             2              3                  4
f(t) (price in dollars)     10,100    10,201     10,303.01   10,406.04

Percent change:

Year 2: 10,201 / 10,100 = 1.01 => 1% increase

Year 3: 10,303.01 / 10,201 = 1.01 => 1% increase

Year 4: 10,406.04 / 10,303.01 = 1.01 => 1% increase.

Answer: the </span><span>product of the part A recorded a greater percentage change in price over the previous year (3% vs 1%).</span>
5 0
3 years ago
Find the Highest Common Factor (HCF) of 196 and 12
Norma-Jean [14]

Answer:

The greatest common factor is 4

Step-by-step explanation:

1.Find the prime factorization of 12

         a) 12 = <u>2</u> × <u>2</u> × 3

2.Find the prime factorization of 196

         a) 196 =<em> </em><u>2</u> ×<u> 2</u> × 7 × 7

To find the GCF, multiply all the prime factors common to both numbers:

          a)GCF=2x2

Therefore, GCF = 2 × 2

GCF = 4

7 0
3 years ago
Read 2 more answers
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