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3 years ago

A particular type of cell triples in number every hour. Write a function that models

Mathematics

1 answer:

GREYUIT [131]3 years ago

6 0

Answer:

part 1: white blood cells

part 2: C=3h(6)

Step-by-step explanation:

I hope this is correct pls let me

know in the comments below if i am correct

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An explosion causes debris to rise vertically with an initial speed of 120 feet per second. The formula h equals negative 16 t s

Novay_Z [31]

Answer:

The debris will be at a height of 56 ft when time is <u>0.5 s and 7 s.</u>

Step-by-step explanation:

Given:

Initial speed of debris is, $s=120\ ft/s$

The height 'h' of the debris above the ground is given as:

$h(t)=-16t^2+120t$

As per question, $h(t)=56\ ft$ . Therefore,

$56=-16t^2+120t$

Rewriting the above equation into a standard quadratic equation and solving for 't', we get:

$-16t^2+120t-56=0\\\textrm{Dividing by -8 throughout, we get}\\\frac{-16}{-8}t^2+\frac{120}{-8}t-\frac{56}{-8}=0\\2t^2-15t+7=0$

Using quadratic formula to solve for 't', we get:

$t=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\t=\frac{-(-15)\pm \sqrt{(-15)^2-4(2)(7)}}{2(2)}\\\\t=\frac{15\pm \sqrt{225-56}}{4}\\\\t=\frac{15\pm\sqrt{169}}{4}\\\\t=\frac{15\pm 13}{4}\\\\t=\frac{15-13}{4}\ or\ t=\frac{15+13}{4}\\\\t=\frac{2}{4}\ or\ t=\frac{28}{4}\\\\t=0.5\ s\ or\ t=7\ s$

Therefore, the debris will reach a height of 56 ft twice.

When time $t=0.5\ s$ during the upward journey, the debris is at height of 56 ft.

Again after reaching maximum height, the debris falls back and at $t=7\ s$ , the height is 56 ft.

5 0

3 years ago

What is length of X and length of Y

luda_lava [24]

Answer:

It is a right angled triangle.

tan32 = p/b

or, tan32 = x/5

or, tan32×5 = x

so, x = 3.124

for 5 no. the answer is a. 3.124

For y,

cos32 = b/h

or, cos32 = 5/y

or, y = 5/cos32

so, y = 5.895

for 6 no. 5.895 is closest to 5.994, so the answer is c. 5.994.

4 0

2 years ago

Which equation would graph as a straight line? x2 – y = 0 y = x 2y = x2 y=1/2×2-1 x2 = 0

Gwar [14]

Answer:

y=1/2×2-1

Step-by-step explanation:

x2 – y = 0 yields a parabola.

y = x is straight but has a slope to make it increase/decrease.

2y = x2 yields a parabola.

x2 = 0 yields a parabola.

3 0

2 years ago

<img src="https://tex.z-dn.net/?f=n%20%7B%20%7D%5E%7B2%7D%20%20%2B%206n%20%2B%205" id="TexFormula1" title="n { }^{2} + 6n + 5"

Anastasy [175]

Answer: (n+5)x(n+1)

Step-by-step explanation:

1. Write 6n as a sum

2. Factor out n form the expression

3. Factor out n+5 from the expression

(n+5)x(n+1)

8 0

3 years ago

A real estate agent earns a 3% commission and has a goal of earning $6,000 in commissions next month. What is the dollar amount

OLEGan [10]

Answer:

he must have 200000 dollars to earn 6000 in commission

7 0

3 years ago