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3 years ago

I have a picture attached please answer

Mathematics

2 answers:

Varvara68 [4.7K]3 years ago

8 0

Blue dots: 6 columns x 2 rows = 6 x 2

Green dots: 6 columns x 2 rows = 6 x 2

Blue dots + Green dots = (6 x 2) + (6 x 2)

Answer: C

zhuklara [117]3 years ago

4 0

It will be C because 6×2 +6×2 = 24 and 12×2 is 24.

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A ball is thrown into the air. The path it takes is modeled by the equation: -3t+24t = h, where t is the time in seconds and h i

astra-53 [7]

Given:

The given equation is:

$-3t^2+24t=h$

Where, t is the time in seconds and h is the height of the ball above the ground, measured in feet.

To find:

The inequality to model when the height of the ball is at least 36 feet above the ground. Then find time taken by ball to reach at or above 36 feet.

Solution:

We have,

$-3t^2+24t=h$

The height of the ball is at least 36 feet above the ground. It means $h\geq 36$ .

$-3t^2+24t\geq 36$

$-3t^2+24t-36\geq 0$

$-3(t^2-8t+12)\geq 0$

Splitting the middle term, we get

$-3(t^2-6t-2t+12)\geq 0$

$-3(t(t-6)-2(t-6))\geq 0$

$-3(t-2)(t-6)\geq 0$

The critical points are:

$-3(t-2)(t-6)=0$

$t=2,6$

These two points divide the number line in 3 intervals $(-\infty,2),(2,6),(6,\infty)$ .

Intervals Check point $-3(t-2)(t-6)\geq 0$ Result

$(-\infty,2)$ 0 $(-)(-)(-)=(-)$ False

$(2,6)$ 4 $(-)(+)(-)=+>0$ True

$(6,\infty)$ 8 $(-)(+)(+)=(-)$ False

The inequality is true for (2,6) and the sign of inequality is $\geq$ . So, the ball is above 36 feet between 2 to 6 seconds.

$6-2=4$

Therefore, the required inequality is $-3t^2+24t\geq 36$ and the ball is 36 feet above for 4 seconds.

3 0

3 years ago

(3x^2a - 4y^a z^3a) ^2 ...?

shusha [124]

The answer is 9x⁴ᵃ - 24x²ᵃyᵃz³ᵃ + 16 y²ᵃz⁶ᵃ

(a - b)² = a² - 2ab + b²
(3x²ᵃ - 4yᵃz³ᵃ)² = (3x²ᵃ)² - 2 * 3x²ᵃ * 4yᵃz³ᵃ + (4yᵃz³ᵃ)² =
= 3²x²ᵃ*² - 2 * 3 * 4 x²ᵃ * yᵃz³ᵃ + 4²yᵃ*²z³ᵃ*² =
= 9x⁴ᵃ - 24x²ᵃyᵃz³ᵃ + 16 y²ᵃz⁶ᵃ

8 0

4 years ago

Annie's cafe borrows $6100 at 6% for 290 days. Find the total amount that must be repaid after 290 days. (Use a 365 day year.)

Galina-37 [17]

Given:
amount borrowed $6,100
interest rate 6% - assuming annual interest rate
term - 290 days of a 365 day year.

This is a simple interest computation.

Interest = Principal * interest rate * term
Interest = 6,100 * 6% * 290/365
Interest = 290.79

Total payment at the end of the 290 term would be $6,390.79.

Principal + interest → 6,100 + 290.79 = 6,390.79

8 0

3 years ago

Suppose the scores on a trivia quiz are normally distributed with a mean of 80 and a standard deviation of 5.

Kitty [74]

I think it would be scores below 75

8 0

3 years ago

5x - 4y = 19 <br> x + 2y = 8

klemol [59]

Answer:

(5x-4y)=19

5×19-4×19

95-76

Step-by-step explanation:

x+2y=8

x=8-2

x=6

7 0

3 years ago