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OverLord2011 [107]
3 years ago
15

Dennis traveled at an average speed of 60 mph on his vacation trip. How far did he travel in the first 4.5 hours

Mathematics
1 answer:
k0ka [10]3 years ago
6 0

Answer: 280 Miles.


Step-by-step explanation: 60 x 4 = 240 + 40 = 280 Miles.


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For a quadratic function ƒ(x)=ax2+bx+c, ƒ(−1)<1, ƒ(1)>−1, and ƒ(3)<−4. What could be the sign of a?
denis23 [38]

Answer:

"a" must be negative

Step-by-step explanation:

The slope between points (-1, 1) and (1, -1) is a minimum of (-1-1)/(1-(-1)) = -1.

The slope between points (1, -1 and (3, -4) is a maximum of (-4-(-1))/(3-1) = -3/2.

Thus, as x increases, the slope is decreasing. In order for that to be the case, the value of <em>a</em> must satisfy a < 0.

4 0
4 years ago
The diameter of a circle is 22 miles. What is the circle's area? Use 3.14 for pi.. Single choice.
Sonbull [250]

Answer:

379.94 mi²

Step-by-step explanation:

The area of a circle can be figured out with this formula: πr² (3.14 is π here, as it says in the directions).

We know the diameter is 22 miles. Divide that by 2 to get a radius of 11 miles.

The equation now becomes

3.14(11²)

11 squared is 121.

3.14(121)

I recommend splitting the 121 into 100, 20, and 1.

(3.14 * 100) + (3.14 * 20) + (3.14 * 1)

Multiply 3.14 by 100, 20, and 1.

314 + 62.8 + 3.14

Add 314 and 62.8.

376.8 + 3.14

Add 376.8 and 3.14

379.94 mi² is the area of a circle with a 22-mile diameter.

6 0
3 years ago
4 1/3<br> What is the value of this equation?
sweet [91]

Answer:

4.33

Step-by-step explanation:

1/3=0.33 recuring

4 just eqauls 4

so you add 0.3 recuring to 4

and depending on significant figures it wants you round it ill assume it wants 3 and go 4.33

5 0
2 years ago
Rewrite the equation y^2 – 4y – 2x – 4 = 0 in standard form.
patriot [66]

y² - 4y - 2x - 4 = 0

<u>            +2x +4 </u>   <u>+2x + 4 </u>

y² - 4y              = 2x + 4

<u>             +4    </u>      <u>       +4 </u>      

 (y - 2)²          = 2x + 8

<u>              -8   </u>      <u>      -8 </u>

 (y - 2)²  - 8   = 2x

\frac{(y - 2)^{2}}{2} - \frac{8}{2} = \frac{2x}{2}

\frac{1}{2}(y - 2)² - 4 = x

x = \frac{1}{2}(y - 2)² - 4

<em>Note: this is a parabola whose axis of symmetry is y = 2 and vertex is (-4, 2)</em>

8 0
3 years ago
Find the simple interest accrued on a $500 investment made for 2 years at an interest rate of 8% per year.
Artemon [7]

Answer:

3,125 i think sorry if this is incorrect....

Step-by-step explanation:

Answer:

P = $ 3,125.00

Equation:

P = I / rt

Calculation:

First, converting R percent to r a decimal

r = R/100 = 8%/100 = 0.08 per year,

then, solving our equation

P = 500 / ( 0.08 × 2 ) = 3125

P = $ 3,125.00

The principal required to

accumulate interest of $ 500.00

on a rate of 8% per year for 2 years is $ 3,125.00.

3 0
3 years ago
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