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2 years ago

The data set represents a month-to-month progression of gasoline prices over the course of several months in an

Mathematics

1 answer:

Mila [183]2 years ago

6 0

Answer:

A.) -0.015x² + 0.365x + 1.116

Step-by-step explanation:

Using a graphing calculator, the quadratic regression equation obtained for the data in the table is :

General form of a quadratic regression equation :

A + Bx + Cx²

A = 1.115714

Bx = 0.3647x

Cx² = - 0.015x²

Hence, rounding to the appropriate number of decimal places, the quadratic regression equation becomes ;

-0.015x² + 0.365x + 1.116

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Water is flowing into a large spherical tank at a constant rate. Let V (t) be the volume of water in the tank at time t, and h(t

aleksley [76]

Answer:

See solutions for detail.

Step-by-step explanation:

a. $\frac{dV}{dt}$ is the instantaneous rate of change of volume given with respect to time, t.

The volume's rate of change is written as a function of time.

- $\frac{dh}{dt}$ is the rate of change in the height of water in the tank with respect to time, t.

b. $\frac{dV}{dt}-$ is the only constant. Water flows into the constant at a constant rate, say $6cm^3$ per minute.

c. $\frac{dV}{dt}$ is positive. Volume water in the take is increasing from time to time.

-The volume at time t=1 is greater than the volume at t=0, hence, it's a positive rate of change.

d. $\frac{dh}{dt}$ is a positive rate. The initial height of water in the tank is zero.

-The final height at time t is 0.25h. The height is increasing with time.

Hence, it is positive.

8 0

3 years ago

Trace metals in drinking water affect the flavor and an unusually high concentration can pose a health hazard. We obtain the fol

Vitek1552 [10]

Answer:

Please see attachment

Step-by-step explanation:

Please see attachment

5 0

3 years ago

The diagonal of a rectangle is of length a. It splits each corner forming two angles with a ratio of 1:2. The area of the rectan

HACTEHA [7]

Answer:

Step-by-step explanation:

Given

Length of diagonal is a

Diagonal divides the angle in 1:2

such that $\theta +2\theta =90$ (because angle between two sides is 90)

$3\theta =90$

$\theta =30^{\circ}$

width of rectangle is $b=a\sin \theta =\frac{a}{2}$

Length of rectangle is $L=a\cos 30=\frac{\sqrt{3}}{2}a$

Area of rectangle $A=L\cdot b$

$A=\frac{\sqrt{3}}{2}a\times \frac{a}{2}$

$A=\frac{\sqrt{3}}{4}a^2$

5 0

2 years ago

How to simplify 4(2a)+7(-4b)+(3×c×5)

maw [93]

→ Solutions

⇒ Simplify 4(2a)+7(−4b)+3c(5)⇒ 8a+−28b+15c

Answer
⇒ 8a−28b+15c

5 0

2 years ago

Read 2 more answers

write a point-slope equation for the line that passes through the point (6,8) and is parallel to the line given by y=-5x+4

VashaNatasha [74]

Answer:

y -8 = -5(x -6)

Step-by-step explanation:

The point-slope form of the equation for a line is generally written ...

y -k = m(x -h)

for slope m and point (h, k).

The slope of your parallel line is the same as the slope of the reference line, -5. So your equation is ...

y -8 = -5(x -6)

3 0

2 years ago