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1 year ago

Which of these values for P and a will cause the function f(x)=Pa^x to be an exponential growth function?

2 answers:

8 0

$f(x)=a^x\\\\if\ a > 1\ then\ a\ function\ is\ an\ exponential\ growth\ function$

$therefore\ answer\ is:\\\\B.\ P=3;\ a=4$

olya-2409 [2.1K]1 year ago

4 0

Answer:

B. P = 1/3 ; a = 4

Step-by-step explanation:

AN exponential function is a function where you have an exponent and that exponent can elevate a number at a certain level, the values of P and A are different, but as you can see A is the one that is being elevated to an exponent by X, so in order for the function to be exponential A must have a greater value than 1, it could be 1.1 or even 1.000001 but otherwise it won´t grow exponentially, so the only option where A is greate than 1 is B. P = 1/3 ; a = 4 , and that´s the correct answer.

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ivolga24 [154]

If one labour works 200 hours per month, the amount of hot water heaters the labour can produce is = 200 × 0.25 = 50 hot water heaters

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2 years ago

Two processes are used to produce forgings used in an aircraft wing assembly. Of 200 forgings selected from process 1, 10 do not

tangare [24]

Answer:

$\bar p_1=0.05\\\bar p_2=0.067$

b-Check illustration below

c.(-0.0517,0.0177

Step-by-step explanation:

a.let $p_1 \& p_2$ denote processes 1 & 2.

For $p_1$ : T1=10,n1=200

For $p_2$ :T2=20,n2=300

Therefore

$\bar p_1=\frac{t_1}{N_1}=\frac{10}{200}=0.05\\\bar p_2=\frac{t_2}{N_2}=\frac{20}{300}=0.067$

b. To test for hypothesis:-

$H_0:p_1=p_2\\H_A=p_1\neq p_2\\\alpha=0.05$

ii.For a two sample Proportion test

$Z=\frac{\bar p_1-\bar p_2}{\sqrt(\bar p(1-\bar p)(\frac{1}{n_1}+\frac{1}{n_2})}\\$

iii. for $\frac{\alpha}{2}=(-1.96,+1.96)$ (0.5 alpha IS 0.025),

reject $H_o$ if $|Z|>1.96$

iv. Do not reject $H_o$ . The noncomforting proportions are not significantly different as calculated below:

$z=\frac{0.050-0.067}{\sqrt {(0.06\times0.94)\times \frac{1}{500}}}$

z=-0.78

c. $(1-\alpha).100\%$ for the p1-p2 is given as:

$(\bar p_1-\bar p_2)\pm Z_0_._5_\alpha \times \sqrt \frac{ \bar p_1(1-\bar p_1)}{n_1}+\frac{\bar p_2(1-\bar p_2)}{n_2}\\\\=(0.05-0.067)\pm 1.645 \times \sqrt \ \frac{0.05+0.95}{200}+\frac{0.067+0.933}{300}\\$

=(-0.0517,+0.0177)

*CI contains o, which implies that proportions are NOT significantly different.

4 0

2 years ago

A coffee shop uses two different-sized bins to store coffee beans. The volume of the smaller bin is x cubic inches and the volum

raketka [301]

Answer:

Total volume of all the bins = xS + yL

Step-by-step explanation:

Given: x cubic inches represent the volume of the smaller bin and y cubic inches represents the volume of the larger bin. The store has S smaller bins and L larger bins.

To find: an expression that represents the total volume of all the bins

Solution:

The volume of the smaller bin = x cubic inches

The volume of the larger bin = y cubic inches

Also, the store has S smaller bins and L larger bins

So,

Total volume of all the bins = xS + yL

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2 years ago

In right triangle ABC, angle A and angle B are complementary angles. The value of cos A is 9/41. What is the value of sin B?

Margaret [11]

SinB = 9/41

I explained my reasoning down below

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2 years ago

Which is most likely the correlation coefficient for the set of data shown?

mafiozo [28]

That's a really good positive correlation pictured. The line fits the data very well. The slope of the line is positive, meaning as x increases so does y. I'd choose a big positive value.

Answer: 0.872

6 0

1 year ago

Read 2 more answers