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AleksAgata [21]

2 years ago

11

You have 20 minutes to finish my 10 math problem. Wright and solve an inequality that represents how many minutes you can spend

per problem

1 answer:

lesya [120]2 years ago

6 0

Answer:

2 min

Step-by-step explanation:

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What is the vertex of a parabola having the equation y = –2(x – 5)2 + 7? Which direction does the parabola open?

Vika [28.1K]

$y = -2(x-5)^2 + 7$

That's vertex form for a parabola $y=a(x-p)^2+q$ and we read off vertex (p,q) as

Answer: Vertex (5,7)

The negative <em>a</em> tells us this is a downward opening parabola (upside down from the usual $y=x^2$ . I remember CUP - Concave Up Positive; here <em>a </em>is negative so not a cup, instead concave <em>down.</em> The same rule applies to second derivatives in calculus so memorize it now and use it later.

Answer: downward

7 0

3 years ago

2 + 31 X<br> To<br> + 14 x<br> 10<br> 2.345<br> 100<br> O<br> I

Ne4ueva [31]

Answer:

12-12=21

Step-by-step explanation:

i think it is that

6 0

3 years ago

In ARST, the measure of T=90°, the measure of S=35°, and ST = 2.9 feet. Find

kotykmax [81]

Answer:

3.5

Step-by-step explanation:

5 0

3 years ago

Use the exponential decay model, Upper A equals Upper A 0 e Superscript kt, to solve the following. The half-life of a certai

Akimi4 [234]

Answer:

It will take 7 years ( approx )

Step-by-step explanation:

Given equation that shows the amount of the substance after t years,

$A=A_0 e^{kt}$

Where,

$A_0$ = Initial amount of the substance,

If the half life of the substance is 19 years,

Then if t = 19, amount of the substance = $\frac{A_0}{2}$ ,

i.e.

$\frac{A_0}{2}=A_0 e^{19k}$

$\frac{1}{2} = e^{19k}$

$0.5 = e^{19k}$

Taking ln both sides,

$\ln(0.5) = \ln(e^{19k})$

$\ln(0.5) = 19k$

$\implies k = \frac{\ln(0.5)}{19}\approx -0.03648$

Now, if the substance to decay to 78% of its original amount,

Then $A=78\% \text{ of }A_0 =\frac{78A_0}{100}=0.78 A_0$

$0.78 A_0=A_0 e^{-0.03648t}$

$0.78 = e^{-0.03648t}$

Again taking ln both sides,

$\ln(0.78) = -0.03648t$

$-0.24846=-0.03648t$

$\implies t = \frac{0.24846}{0.03648}=6.81085\approx 7$

Hence, approximately the substance would be 78% of its initial value after 7 years.

5 0

3 years ago

A binomial experiment has the given number of trials N and the given success probability P.

yan [13]

The probability of the success will be 0.3826.

<h3>What is binomial distribution?</h3>

Bernoulli's trials are those trials which end up randomly either on success (with probability p) or on failures (with probability 1- p = q (say))

The probability that out of n trials, there'd be x successes is given by

$\rm P(x) = \: ^nC_xp^x(1-p)^{n-x}$

We have

n = 8

p = 0.1

q = 1 – 0.1 = 0.9

x = 1

Then we have

P(1) = ⁸C₁ x (0.1)¹ x (0.9)⁷

P(1) = 0.3826

Learn more about binomial distribution here:

brainly.com/question/13609688

#SPJ1

8 0

2 years ago