Convert 244 16 to decimal:

The firework reaches the ground after 6.25 seconds.

A projectile is the curved motion of an object thrown into space under the influence of gravity.

Given that the firework experiences a projectile motion given by the equation:

h = -16t² + 84t + 100

where h is the height after t seconds.

The firework reaches the ground when h = 0, hence:

0 = -16t² + 84t + 100

t = 6.25 seconds.

Therefore the firework reaches the ground after 6.25 seconds.

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I assume the integral is supposed to be

[tex]\displaystyle \int_C z^2\,dx + x^2\,dy + y^2\,dz[/tex]

Parameterize C by

[tex](x(t),y(t),z(t)) = (1-t)(1,0,0) + t(5,1,2) = (1+4t, t, 2t)[/tex]

with 0 ≤ t ≤ 1, and dx = 4 dt, dy = dt, and dz = 2 dt. Then the line integral is

[tex]\displaystyle \int_C z^2\,dx + x^2\,dy + y^2\,dz = \int_0^1 (2t)^2(4\,dt) + (1+4t)^2\,dt + t^2(2\,dt)[/tex]

[tex]\displaystyle \int_C z^2\,dx + x^2\,dy + y^2\,dz = \int_0^1(1+8t+34t^2)\,dt[/tex]

[tex]\displaystyle \int_C z^2\,dx + x^2\,dy + y^2\,dz = 1+4+\frac{34}3 = \boxed{\frac{49}3}[/tex]

Answer:

vtdOveractivity of the pituitary gland is called hyperpituitarism. Several disorders related to an overactive pituitary gland can occur.

...

Symptoms may include:

Nervousness.Rapid or irregular heartbeat.Weight loss.Fatigue.Muscular weakness.

4a - 14 = 7a - 8

4a - 7a = 14 -8

-3a = 6

a = 2

ok done. Thank to me :>

Answer:

a= -2

Step-by-step explanation:

4a -14 = 7a -8

Subtract 7a from both sides

-3a -14= -8

Add 14 to both sides of equation

-3a = -8 +14

Add -8 and 14

-3a = 6

Divide each term by -3

a = -2

Answer:

6.333... is greater

Step-by-step explanation:

6.3 is larger than 6.2

Answer:

6.33333

Step-by-step explanation:

6.29

6.33333

The 3 is greater than the 2.

Hope this helps :)

Answer:

Below in bold.

Step-by-step explanation:

The length of the side opposite to theta:

= √(24^2-21^2)

=  √(24-21)(24+21)

= √(135)

= 3√15.

sin theta = 3√15/ 24 = √15/8.   csc theta = 1/√15/8 = 8/√15 =  8√15/15.

cos theta = 21/ 24 = 7/8.            sec theta = 8/7.

tan theta = 3√15/21 = √15/7.     cot theta = 7/√15  = 7√15/15.

Answeryawa ka

Step-by-step explanation:

Answer:

3. (X-6)(X-6)

Answer:

y = 138

Step-by-step explanation:

90 + 4x + 3x + 6 = 180

96 + 7x = 180

7x = 84

x = 12

———

3(12) + 6

36 + 6

42

———

180 - 42 = 138

Answer:

[tex]\frac{p^2-25}{p^2-10p+25}[/tex]

We can factorise the numerator with the difference of squares formula:[tex]x^2-y^2=(x+y)(x-y)[/tex]

-----------------------------

[tex]\frac{p^2-5^2}{p^2-10p+25} =\frac{(p+5)(p-5)}{p^2-10p+25}[/tex]

Now we can factorise the denominator:

[tex]\frac{(p+5)(p-5)}{p^2-10p+25} =\frac{(p+5)(p-5)}{(p-5)^2}[/tex]

[tex]\frac{(p+5)(p-5)}{(p-5)^2} =\frac{(p+5)(p-5)}{(p-5)(p-5)}[/tex]

Cancel out the common factor of (p-5):

[tex]\frac{(p+5)(p-5)}{(p-5)(p-5)} =\frac{(p+5)}{(p-5)}[/tex]

Answer:

B

Step-by-step explanation:

<STR = <SRT                      Given the markings of the triangle

<STR + <STU = 180            Supplementary angles

(2x - 9) + 7x = 180               Remove the brackets

2x - 9 + 7x = 180                 Combine

9x - 9 = 180                         Add 9 to both sides

9x = 180 + 9                        Combine

9x = 189                              Divide by 9

9x/9 = 189/9

x = 21

Answer:

Random Assignment

Step-by-step explanation:

Answer:

3 baskets and 6 oranges, 9 pears, 4 bananas

Step-by-step explanation:

the common denominator is 3

Answer:

is this ok 4 uh?

hope it helps

Answer:

AC=14

X=10

Y=1

Hoped this helped!

Step-by-step explanation:

DE is half of BC, therefore x=10. AE and EC have to be the same length, which is 7. SO, y=1 and x is 10.

The linear function that can be used to model this relationship is:

y = -0.27x + 23

A linear function is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

Let P(x) represent the percentage of total  spending x years after 1950.

Since In 1950, the group spent 23% of their budget on food, hence b = 23.

Also, this has been decreasing at 0.27% per year. Hence m = -0.27.

The linear function that can be used to model this relationship is:

y = -0.27x + 23

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Answer:

17

Step-by-step explanation:

(3z - 1) when z = 6

Let's plug in 6 into the equation (3(6)-1)

Now we multiply the parenthesis (18-1)

Now we subtract (17)

So the answer is 17!

Answer:

B) y = 2x - 3

Step-by-step explanation:

We can determine which equation the line follows by checking the y-intercepts of each equation. The line passes through the point (0, -3) - this is the y-intercept of the line. The y-intercept in an equation is the single value after the slope. So, for example, in a line y = mx + b, b is the y-intercept.

For A, our y-intercept is (0, 2). For B, our y-intercept is (0, -3). For C, our y-intercept is (0, 3). For D, our y-intercept is (0, -2). So which one matches our line? It would be B, since both have a y-intercept of (0, -3).

So, that's our answer. If you need more help, let me know! :)

Answer: B

Step-by-step explanation:

The slope is 2 as it shown rise (2) over run (1)

Y-intercept is -3

Answer:

Neither.

Step-by-step explanation:

Manipulate the formulas into slope-intercept form which is [tex]y=mx+b[/tex].

In order for them to be parallel, m needs to be the same. Perpendicular, m for one needs to be the negative reciprocal of the other [tex]m=-\frac{1}{m}[/tex].

Let's see what we get.

(1)

[tex]3x+4y=2\\4y=-3x+2\\y=-\frac{3}{4}x+1/2[/tex]

(2)

[tex]4x+3y=2\\3y=-4x+2\\y=-\frac{4}{3}x+2/3[/tex]

They are reciprocals, but they are both negative. So, they are not the same line, perpendicular, nor parallel.

Also, you can graph these equations on desmos and see easily that they have none of these relationships.

Answer:

2.74 m

Step-by-step explanation:

3 m to cm is 300.

Then, 300 cm - 26 cm = 274 cm.

You asked "What is Raju's height in METRES"

So, 274 cm to m is 2.74.

Hope you understand ^^

Answer:

2.74 m

Step-by-step explanation:

Converting centimeter to meter: 26 cm = 0.26 m

3 - 0.26 = 2.74 m

Answer:

i think 12

Step-by-step explanation:

Answer:

4 + 3 + 2 = 9

Step-by-step explanation:

You have to add all the numbers in the cube.

These are the following ones.

19 = 4 + 8 + 7

11 = 2 + 8 + 1

11 = 5 + 5 + 1

4 + 3 + 2 = 9

12 = 2 + 7 + 3

Answer:

2 paisa per rupees per month

So rate= 2%

Answer:

469 iPads were donated.

Step-by-step explanation:

The school purchased 396 iPads in total: 300+96

Now, you subtract how many the school purchased from the total amount of iPads to see how many iPads were donated: 865-396 = 469

Answer:

Step-by-step explanation:

Let's find the diagonal measures using Pythagorean and compare:

and

Find the ratio of diagonals:

Answer:

54 degrees? I'm not an expert, but judging by the pic, I would say 54 degrees.

Answer:no they are not

Step-by-step explanation:

As all angles are 60∘ each and given all sides are equal then it can be said as congruent.

Answer:

no

Step-by-step explanation:

Answer:

I would say its a 16.5 %

Step-by-step explanation:

Answer:

P = 83 in

Step-by-step explanation:

For this one, all we need to do is substitute 7 for x and 4 for y:

3x + y = ?

3(7) + 4 =?

21 +4 = ?

21 + 4 = 25 in.

Now for the next one:

4y = ?

4(4) = ?

4(4) = 16

Now we solve the final side:

6x = ?

6(7) = ?

6(7) = 42

Now to find P, we must add them all together:

25 + 16 + 42 = 83

Therefore P = 83

Answer:

A) P = 83

Step-by-step explanation:

-=======================-

3x + y

3(7) + 4 =

21 + 4 =

25

-=======================-

6x

6(7)

42

-=======================-

4y

4(4)

16

-=======================-

25 + 16 + 42 = 83

Hope this helps.