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3 years ago

Finding the expression please ANSWER ASAP!!!!!!

Mathematics

2 answers:

Elena L [17]3 years ago

6 0

G^9 is what I got. Hope this helps

Olegator [25]3 years ago

4 0

G^9 exponents with parentheses are always added

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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

Five and one half of 2 and one third is what number?

labwork [276]

Given:

Five and one half of 2 and one third.

To find:

The number for the given statement.

Solution:

Five and one half = $5\dfrac{1}{2}$

2 and one third = $2\dfrac{1}{3}$

The given statement is five and one half of 2 and one third.

Here, the word "of" is used for multiplication.

So, the expression for the given statement is:

$5\dfrac{1}{2}\times 2\dfrac{1}{3}$

$=\dfrac{10+1}{2}\times \dfrac{6+1}{3}$

$=\dfrac{11}{2}\times \dfrac{7}{3}$

$=\dfrac{77}{6}$

Therefore, the required number is $\dfrac{77}{6}$ .

8 0

3 years ago

What is 6x +7=8x -15 solved.

skelet666 [1.2K]

Answer:

Step-by-step explanation:

6x+7=8x-15

7=2x+15

22=2x

11=x

6 0

3 years ago

Read 2 more answers

Will give brainliest please help

Triss [41]

Answer:

35C12 = 834451800

Step-by-step explanation:

.............

8 0

3 years ago

How do you round numbers

Mariulka [41]

Step 1: Circle the place value of the digit to be rounded. This is the rounding digit. Step 2: Look to the neighboring digit on the right. Step 3: a) If the neighboring digit is less than five (0 - 4), keep the rounding digit the same.

5 0

3 years ago