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viktelen [127]
3 years ago
10

I need help with these three problems.... please help me????

Mathematics
1 answer:
viva [34]3 years ago
5 0

12. Answer: 2130

<u>Step-by-step explanation:</u>

   T = -0.01y + 10.6

 9.2 = -0.01y + 10.6

<u>-10.6</u>    <u>            -10.6 </u>

 -1.4 = -0.01y

<u> ÷-0.01</u>  <u>÷-0.01 </u>

140  = y

"y" represents the number of years after 1990

 1990 + 140

= 2130

**************************************************************

13. Answer: -0.0036° per foot

<u>Step-by-step explanation:</u>

Since the relationship is linear, then we can set up the values as x, y coordinates and use the slope formula to find the rate of degrees over feet.

(6562, 63) and (16405, 28)

rate = \frac{28 - 63}{16405-6562}

      = \frac{-35}{9843}

      = \frac{-0.0036}{1}

**************************************************************

14. Answer: $0.28 per kWh

<u>Step-by-step explanation:</u>

Same reason as #13

(200, 55) and (500, 140)

rate = \frac{140-55}{500-200}

      = \frac{85}{300}

      = \frac{0.28}{1}

 

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4. East High School has 540 students. There are 220 girls in the school.
Ierofanga [76]

Answer:

11:16

Step-by-step explanation:

The ratio is 220:320.

Cancel the 0s then divide by 2.

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3 years ago
F(x)=-x^3-x^2+1 what is f(-1)
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-1^3 - -1^2 +1= -1. ...........
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A bottle contains 1.7 L of water. A second bottle contains 450 mL of water. What is the total number of mL of water in both bott
amm1812

Answer:

2150 mL

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5 0
3 years ago
Write an equation for the perpendicular bisector of the line segment joining the two points.
Leona [35]
Points (1, 7)  and  (-3, 2)

Slope for a line between (x₁, y₁) and (x₂, y₂) , m = (y₂ -y₁) / (x₂- x₁)

The slope for the line joining the two points =  (2 - 7) / (-3 - 1) = -5/-4

Slope = 5/4

Hence the perpendicular bisector would have a slope of -1/(5/4) = -4/5

By condition of perpendicularity

For points (1, 7)  and  (-3, 2),

Formula for midpoints for (x₁, y₁) and (x₂, y₂) is ((x₁ +x₂)/2 , (y₁+ y₂)/2)

Midpoint for (1, 7)  and  (-3, 2) = ((1+ -3)/2 , (7+2)/2) = (-2/2, 9/2)

= (-1, 9/2)

Since the slope of perpendicular bisector is -4/5 and passes through the midpoint (-1, 9/2)

Equation  y - y₁ = m (x - x₁)

                y - 9/2 = (-4/5) (x - -1)
           
                y - 9/2 = (-4/5)(x + 1)

               5(y - 9/2) = -4(x + 1)

               5y - 45/2 = -4x - 4

                 5y =  -4x - 4 + 45/2
           
                5y + 4x = 45/2 - 4

                  5y + 4x = 22  1/2  - 4 =  18 1/2

                  5y + 4x =  37/2

                  10y + 8x = 37

The equation of the line to perpendicular bisector is 10y + 8x = 37
7 0
3 years ago
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