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3 years ago

15

The time spent to travel a certain distance varies inversely as a car's speed. If it takes 5½ hours to travel a certain distance

at 60 miles per hour, how long will it take to travel the same distance at 50 miles per hour?
Select one:
a. 6.6 h
b. 6.9 h
c. 4.6 h
d. 4.2 h

1 answer:

Licemer1 [7]3 years ago

5 0

Answer:

6.6h

Step-by-step explanation:

So it takes 5.5 hours going at a speed of 60 miles per hour, multiply these two and we get a distance of 330 miles
Use this distance to find the time if speed is 50 miles per hour, so time is derived by dividing the distance by the speed
330 miles divide by 50 miles per hour gives 6.6 hours

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Find the area of the composite shape below.<br><br> a 66.8<br> b 91.92<br> c 101.12<br> d 101.6

Evgesh-ka [11]

Answer:

66.24 (This answer does not match to any of the options...)

Step-by-step explanation:

This shape can be divided into 2 different shapes. A triangle and a rectangle.

Area of a Triangle = $\frac{1}{2}$ × base × height

= $\frac{1}{2}$ × 8.8 × 7.8

= 34.32

Area of a Rectangle = Length × Width

= (19.2 - 7.8) × (8.8 - (3+3))

= 11.4 × 2.8

= 31.92

Total area = 34.32 + 31.92 = 66.24

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3 years ago

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What is 23 to the 4th power times 5

taurus [48]

Answer:

1399205

Step-by-step explanation:

6 0

3 years ago

Write an equation of a parabola that passes through (3,-30) and has x-intercepts of -2 and 18. Then find the average rate of cha

Nookie1986 [14]

Answer:

The equation of the parabola is $y = \frac{2}{5}\cdot x^{2}-\frac{32}{5}\cdot x -\frac{72}{5}$ . The average rate of change of the parabola is -4.

Step-by-step explanation:

We must remember that a parabola is represented by a quadratic function, which can be formed by knowing three different points. A quadratic function is standard form is represented by:

$y = a\cdot x^{2}+b\cdot x + c$

Where:

$x$ - Independent variable, dimensionless.

$y$ - Dependent variable, dimensionless.

$a$ , $b$ , $c$ - Coefficients, dimensionless.

If we know that $(3, -30)$ , $(-2, 0)$ and $(18, 0)$ are part of the parabola, the following linear system of equations is formed:

$9\cdot a +3\cdot b + c = -30$

$4\cdot a -2\cdot b +c = 0$

$324\cdot a +18\cdot b + c = 0$

This system can be solved both by algebraic means (substitution, elimination, equalization, determinant) and by numerical methods. The solution of the linear system is:

$a = \frac{2}{5}$ , $b = -\frac{32}{5}$ , $c = -\frac{72}{5}$ .

The equation of the parabola is $y = \frac{2}{5}\cdot x^{2}-\frac{32}{5}\cdot x -\frac{72}{5}$ .

Now, we calculate the average rate of change ( $r$ ), dimensionless, between $x = -2$ and $x = 8$ by using the formula of secant line slope:

$r = \frac{y(8)-y(-2)}{8-(-2)}$

$r = \frac{y(8)-y(-2)}{10}$

$x = -2$

$y = \frac{2}{5}\cdot (-2)^{2}-\frac{32}{5}\cdot (-2)-\frac{72}{5}$

$y(-2) = 0$

$x = 8$

$y = \frac{2}{5}\cdot (8)^{2}-\frac{32}{5}\cdot (8)-\frac{72}{5}$

$y(8) = -40$

$r = \frac{-40-0}{10}$

$r = -4$

The average rate of change of the parabola is -4.

3 0

3 years ago

Quadrilateral ABCD has opposite sides that are parallel and side AB congruent to side DC. What classification can be given to AB

Helen [10]

I think the correct answer from the choices listed above is option B. Quadrilateral ABCD must be a rectangle because it is characterized by having <span>opposite sides that are parallel and side AB congruent to side DC which are characteristics of a rectangle.</span>

8 0

4 years ago

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Write an inequality for the graph<br> A. x > -3<br> B. x < -3<br> c. x > -3<br> _

earnstyle [38]

Answer:

A. x > -3

Step-by-step explanation:

Well by looking at the graph we can tell that,

the line we can tell that the line goes to the right of of the number line,

Meaning x is greater than -3.

<em>Thus,</em>

<em>x > -3.</em>

<em />

<em>Hope this helps :)</em>

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4 years ago