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3 years ago

14

Which is bigger 0.45 or 2/5

1 answer:

pickupchik [31]3 years ago

4 0

<span>The biggest out of the two possible answers is 0.45. 2/5 in decimal form is 0.4, or in percentage form becomes 40%. However, if 0.45 is changed into a fraction, it becomes 9/20 in its smallest form, which is difficult to compare. If we consider 0.45 as a percentage, however, it obviously becomes 45%, which is bigger than 40% so we can confirm that 0.45 is larger than 2/5.</span>

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Two cars leave from the same point at the same time, one traveling east and the other traveling west.

Citrus2011 [14]

Car travelling to the east is at 104 miles per hour and the car travelling to the west is moving at 114 miles per hour

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3 years ago

Find the explicit formula for a 1 =-4,a n =a n-1 +9,n>=2

Mrrafil [7]

Given:

$a_1=-4$ and $a_n=a_{n-1}+9$ where $n\geq 2$ .

To find:

The explicit formula for the given recursive formula.

Solution:

We know that recursive formula of an AP is:

$a_n=a_{n-1}+d$

Where, d is the common difference.

We have,

$a_n=a_{n-1}+9$

Here, d=9.

The first term of the AP is $a_1=-4$ .

The explicit formula for an AP is:

$a_n=a_1+(n-1)d$

Substituting $a_1=-4$ and $d=9$ , we get

$a_n=-4+(n-1)9$

$a_n=-4+9n-9$

$a_n=-13+9n$

Therefore, the required explicit formula for the given sequence is $a_n=-13+9n$ .

6 0

3 years ago

Solve 2x2 + 20x = −38. (1 point)

RoseWind [281]

Answer:

The solutions are $x=-5+\sqrt{6}$ and $x=-5-\sqrt{6}$

Step-by-step explanation:

we have

$2x^{2} +20x=-38$

Divide by $2$ both sides

$x^{2} +10x=-19$ ------> $x^{2} +10x+19=0$

we know that

The formula to solve a quadratic equation of the form $ax^{2} +bx+c=0$ is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$x^{2} +10x+19=0$

so

$a=1\\b=10\\c=19$

substitute

$x=\frac{-10(+/-)\sqrt{10^{2}-4(1)(19)}}{2(1)}$

$x=\frac{-10(+/-)\sqrt{100-76}}{2}$

$x=\frac{-10(+/-)\sqrt{24}}{2}$

$x=\frac{-10(+/-)2\sqrt{6}}{2}$

$x1=\frac{-10(+)2\sqrt{6}}{2}=-5+\sqrt{6}$

$x2=\frac{-10(-)2\sqrt{6}}{2}=-5-\sqrt{6}$

8 0

3 years ago

Read 2 more answers

Andre is running in an 80-meter hurdle race. There are 8 equally-space hurdles on the race track. The first hurdle is 12 meters

evablogger [386]

Answer:

600 and 3

Step-by-step explanation:

6 0

3 years ago

Solve the equation cos (x/2) = cos x + 1. what are the solutions on the interval 0° ≤ x < 360°?

Sedbober [7]

Answer:

Step-by-step explanation:

cos (x/2)=cos x+1

cos (x/2)=2cos ²(x/2)

2 cos²(x/2)-cos (x/2)=0

cos (x/2)[2 cos (x/2)-1]=0

cos (x/2)=0=cos π/2,cos (3π/2)=cos (2nπ+π/2),cos(2nπ+3π/2)

x/2=2nπ+π/2,2nπ+3π/2

x=4nπ+π,4nπ+3π

n=0,1,2,...

x=π,3π

or x=180°,540°,...

180°∈[0,360]

so x=180°

or

2cos(x/2)-1=0

cos (x/2)=1/2=cos60,cos (360-60)=cos 60,cos 300=cos (360n+60),cos (360n+300)

x/2=360n+60,360n+300

x=720n+120,720n+300

n=0,1,2,...

x=120,300,840,1020,...

only 120° and 300° ∈[0,360°]

Hence x=120°,180°,300°

7 0

2 years ago