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2 years ago

Which functions represent exponential growth? y = f(x) y = h(x) y = g(x) y = k(x).

Mathematics

1 answer:

Ymorist [56]2 years ago

3 0

All are the exponential function.

<h2>Exponent</h2>

Exponential notation is the form of mathematical shorthand which allows us to write complicated expressions more succinctly. An exponent is a number or letter is called the base. It indicates that the base is to raise to a certain power. c is the base and x is the power.

<h3>Which functions represent exponential growth?</h3>

1. y = f(x) is a exponential function.

Because the range of the exponential function is from 0 to ∞ for all values of x. And it is 1 at x = 0.

2. y = h(x) is a exponential function.

Because the range of the exponential function is from 0 to ∞ for all values of x. And it is 1 at x = 0.

3. y = g(x) is a exponential function.

Because the range of the exponential function is from 0 to ∞ for all values of x. And it is 1 at x = 0.

4. y = k(x) is a exponential function.

Because the range of the exponential function is from 0 to ∞ for all values of x. And it is 1 at x = 0.

Thus, all are the exponential function.

More about the exponent link is given below.

brainly.com/question/5497425

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A public health official is planning for the supplyof influenza vaccine needed for the upcoming flu season. She wants to estimat

Marizza181 [45]

Answer:

$n=\frac{0.5(1-0.5)}{(\frac{0.04}{1.64})^2}=420.25$

And rounded up we have that n=421

Step-by-step explanation:

We know that the sample proportion have the following distribution:

$\hat p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by $\alpha=1-0.90=0.1$ and $\alpha/2 =0.05$ . And the critical value would be given by:

$z_{\alpha/2}=-1.64, z_{1-\alpha/2}=1.64$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And on this case we have that $ME =\pm 0.04$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

We assume that a prior estimation for p would be $\hat p =0.5$ since we don't have any other info provided. And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.04}{1.64})^2}=420.25$

And rounded up we have that n=421

5 0

3 years ago

DO U KNOW SLOPE??? PLZ HELP

IgorLugansk [536]

To calculate slope; rise/run

Triangle ABC: run-1 rise-5 slope-5

5 rise/ 1 run (5/1)=5

Triangle DEF: run-2 rise 10 slope-5

10 rise/ 2 run (10/2)=5

B. They are equal because the two triangles are similar

7 0

3 years ago

Please help this is due in about three minutes

mihalych1998 [28]

Answer:

13) Constant

14) Variable

15) Coefficient

16) Exponent

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3 years ago

Two vectors A⃗ and B⃗ are at right angles to each other. The magnitude of A⃗ is 5.00. What should be the length of B⃗ so that th

creativ13 [48]

Answer:

Length of B is 7.4833

Step-by-step explanation:

The vector sum of A and B vectors in 2D is

$C=A+B=(a_1+b_1,a_2+b_2)$

And its magnitude is:

$C=\sqrt{(a_1+b_1)^2+(a_2+b_2)^2} =9$

Where

$a_1=Asinx$

$a_2=Acosx$

$b_1=Bsin(x+90)$

$b_2=Bcos(x+90)$

Using the properties of the sum of two angles in the sin and cosine:

$b_1=Bsin(x+90)=B(sinx*cos90+sin90*cosx)=Bcosx$

$b_2=Bcos(x+90)=B(cosx*cos90-sinx*sin90)=-Bsinx$

Sustituying in the magnitud of the sum

$C=\sqrt{(Asinx+Bcosx)^2+(Acosx-Bsinx)^2} =9$

$C=\sqrt{A^2sin^2x+2ABsinxcosx+B^2cos^2x+A^2cos^2x-2ABsinxcosx+B^2sin^2x} =9$

$C=\sqrt{A^2(sin^2x+cos^2x)+B^2(cos^2x+sin^2x)}$

$C=\sqrt{A^2+B^2} =9$

Solving for B

$A^2+B^2 =9^2$

$B^2 =9^2-A^2$

Sustituying the value of the magnitud of A

$B^2=81-5^2=81-25=56$

$B= 7. 4833$

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3 years ago

Which of the following expressions Will result in a product less than zero? Select all that apply

Semmy [17]

Answer:

A and D

Step-by-step explanation:

Negative times positive is always negative, thus making them less than 0. Negative times negative is positive, so B and C both have a positive product. Hope this helps

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3 years ago