Can someone explain what the question is trying to say? I don’t understand it that well. If so I’ll mark you brainliest

Answer:

I think its point D sorry if its not

By def. of the derivative, we have for y = ln(x),

[tex]\displaystyle \frac{dy}{dx} = \lim_{h\to0} \frac{\ln(x+h)-\ln(x)}{h}[/tex]

[tex]\displaystyle \frac{dy}{dx} = \lim_{h\to0} \frac1h \ln\left(\frac{x+h}{x}\right)[/tex]

[tex]\displaystyle \frac{dy}{dx} = \lim_{h\to0} \ln\left(1+\frac hx\right)^{\frac1h}[/tex]

Substitute y = h/x, so that as h approaches 0, so does y. We then rewrite the limit as

[tex]\displaystyle \frac{dy}{dx} = \lim_{y\to0} \ln\left(1+y\right)^{\frac1{xy}}[/tex]

[tex]\displaystyle \frac{dy}{dx} = \frac1x \lim_{y\to0} \ln\left(1+y\right)^{\frac1y}[/tex]

Recall that the constant e is defined by the limit,

[tex]\displaystyle e = \lim_{y\to0} \left(1+y\right)^{\frac1y}[/tex]

Then in our limit, we end up with

[tex]\displaystyle \frac{dy}{dx} = \frac1x \ln(e) = \boxed{\frac1x}[/tex]

In Mathematica, use

D[Log[x], x]

Answer:

Step-by-step explanation:

θ = arcsin(13.8/15) = 66.9°

Answer:

y = 1/3x + 6

Step-by-step explanation:

Format the given line into slope-intercept form:

y = -3x + 5

Perpendicular lines have a reversed sign and reciprocal slope:

y = 1/3x + b

Plug in the points:

3 = (-9) * 1/3 + b

3 = -3 + b

b = 6

Plug in b:

y = 1/3x + 6

Answer:

Step-by-step explanation:

9514 1404 393

Answer:

  (1, 1.4), (10, 14), (50, 70)

Step-by-step explanation:

To obtain another point where the values have the same proportional relationship, multiply both coordinate values by the same factor.

  using a factor of 1/5: Y = (1, 1.4)

  using a factor of 2: Y = (10, 14)

  using a factor of 10: Y = (50, 70)

Answer:

x = 10

Step-by-step explanation:

to find the measure of angles we first need to find the value of x

The sum of interior angles in a triangle is equal to 180

9x + 7x + 2x = 180 add like terms

18x = 180 divide both sides by 18

x = 10 to find angle measures replace x with 10 in each representative like:

m<L = 9x and 9*10 = 90 and so on

Answer:

  x = 0, 1/3

Step-by-step explanation:

The greatest common factor is 2x. Factoring that out, we have ...

  2x(3x -1) = 0

The solutions will be the values of x that make the factors 0.

  x = 0

  3x -1 = 0   ⇒   x = 1/3

The solutions are x = 0, 1/3.

_____

Check

x = 0   ⇒   6·0² -2·0 = 0   ⇒   0 - 0 = 0 . . . true

x = 1/3   ⇒   6(1/3)² -2(1/3) = 0   ⇒   6/9 -2/3 = 0 . . . true

Answer:

Step-by-step explanation:

2x squared-4x+4

Answer:

-2

Step-by-step explanation:

HOPE THIS HELPS

Answer:

750 units

Step-by-step explanation:

As given in question,

speed of solution = 30 mL/hr

1 L of solution contains heparin = 25000 units

=> 1000 mL of solution contains heparin = 25000 units

= > \ \textrm{1 mL of solution contains heparin}\ =\ \dfrac{25000}{1000}\ units=> 1 mL of solution contains heparin =

1000

25000

units

= 25 units

Hence, 30 mL of solutions contains heparin = 30 x 1 mL of solution contains

heparin

= 30 x 25

= 750 units

Hence, heparin administered per hour = 750 units

Step-by-step explanation:

carry on

A differential equation is an equation that includes an unknown function and its derivative. A differential equation describes a relationship between a function and changes in the function.

Differential equations are very important in higher mathematics and also in disciplines where mathematics is used. In subject areas such as physics, engineering, meteorology and economics, differential equations are used to describe connections and development processes.

Learn more about differential equations in https://brainly.com/question/14620493

The net pay is the amount left after taxes and deductions have been removed from the gross pay.

Her monthly gross pay is: $4111.93

The deductions are:

[tex]\mathbf{FIT = \$102}[/tex]

[tex]\mathbf{SIT = 3.2\%}[/tex]

[tex]\mathbf{CIT = 1.8\%}[/tex]

Let her gross pay be x.

So, we have:

[tex]\mathbf{Net = x - FIT - x \times SIT - x \times CIT}[/tex]

So, we have:

[tex]\mathbf{3804.33 = x - 102 - x \times 3.2\%- x \times 1.8\%}[/tex]

Express percentage as decimals

[tex]\mathbf{3804.33 = x - 102 - x \times 0.032- x \times 0.018}[/tex]

[tex]\mathbf{3804.33 = x - 102 - 0.032x - 0.018x}[/tex]

Add 102 to both sides

[tex]\mathbf{3906.33 = x - 0.032x - 0.018x}[/tex]

[tex]\mathbf{3906.33 = 0.95x}[/tex]

Divide both sides by 0.95

[tex]\mathbf{4111.93 = x}[/tex]

Rewrite as:

[tex]\mathbf{x = 4111.93 }[/tex]

Hence, her monthly gross pay is: $4111.93

Read more about gross and net pay at:

https://brainly.com/question/8952173

According to the discrete distribution given, it is found that the expected value of the amount of time Kelsie spends filling out daily sales reports is of 9.5 minutes.

The discrete distribution given is:

[tex]P(X = 0) = 0.3[/tex]

[tex]P(X = 10) = 0.5[/tex]

[tex]P(X = 20) = 0.15[/tex]

[tex]P(X = 30) = 0.05[/tex]

The mean of a discrete distribution is the sum of each outcome multiplied by it's respective probability, hence:

[tex]E(X) = 0(0.3) + 10(0.5) + 20(0.15) + 30(0.05) = 9.5[/tex]

The expected value of the amount of time Kelsie spends filling out daily sales reports is of 9.5 minutes.

A similar problem is given at https://brainly.com/question/24855677

Answer: 9.5

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

Answer:

64 square units

Step-by-step explanation:

comment if you need an explanation.

if right, please mark brainliest.

Answer:

C. 2

Step-by-step explanation:

[tex]\frac{-8(17-12)}{-2(8-(-2))}[/tex]

Subtract inside the parenthesis inside the numerator.

[tex]\frac{-8(5)}{-2(8-(-2))}[/tex]

Multiply -8 and 5 in the numerator.

[tex]\frac{-40}{-2(8-(-2))}[/tex]

Rewrite the denominator knowing that x - (-y) = x + y.

[tex]\frac{-40}{-2(8+2)}[/tex]

Add inside the parenthesis in the denominator.

[tex]\frac{-40}{-2(10)}[/tex]

Multiply -2 and 10 in the denominator.

[tex]\frac{-40}{-20}[/tex]

Rewrite the fraction knowing that (-x)/(-y) = x/y.

[tex]\frac{40}{20}[/tex]

Divide 40 by 20 to get: 2.

Answer:

x2 +3x + 5=0

x(2+3)=5-0

x(5)=5

5x=5

5x\5=5\5

x=1

Testing the hypothesis, we have that:

a)

The null hypothesis is: [tex]H_0: \mu = 128[/tex]

The alternative hypothesis is: [tex]H_1: \mu \neq 128[/tex]

b) The p-value of the test is of 0.1212.

c) Since the p-value of the test is of 0.1212 > 0.05, we cannot conclude that the mean daily number of texts for 25–34 year olds differs from the population daily mean number of texts for 18–24 year olds.

d) Since |z| = 1.55 < 1.96, we cannot conclude that the mean daily number of texts for 25–34 year olds differs from the population daily mean number of texts for 18–24 year olds.

Item a:

At the null hypothesis, we test if the mean is the same, that is, of 128 texts every day, hence:

[tex]H_0: \mu = 128[/tex]

At the alternative hypothesis, we test if the mean is different, that is, different of 128 texts every day, hence:

[tex]H_1: \mu \neq 128[/tex]

Item b:

We have the standard deviation for the population, thus, the z-distribution is used. The test statistic is given by:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

The parameters are:

[tex]\overline{x}[/tex] is the sample mean.

[tex]\mu[/tex] is the value tested at the null hypothesis.

[tex]\sigma[/tex] is the standard deviation of the population.

n is the sample size.

For this problem, the values of the parameters are: [tex]\overline{x} = 118.6, \mu = 128, \sigma = 33.17, n = 30[/tex]

Hence, the value of the test statistic is:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{118.6 - 128}{\frac{33.17}{\sqrt{30}}}[/tex]

[tex]z = -1.55[/tex]

Since we have a two-tailed test, as we are testing if the mean is different of a value, the p-value is P(|z| < 1.55), which is 2 multiplied by the p-value of z = -1.55.

Looking at the z-table, z = -1.55 has a p-value of 0.0606

2(0.0606) = 0.1212

The p-value of the test is of 0.1212.

Item c:

Since the p-value of the test is of 0.1212 > 0.05, we cannot conclude that the mean daily number of texts for 25–34 year olds differs from the population daily mean number of texts for 18–24 year olds.

Item d:

Using a z-distribution calculator, the critical value for a two-tailed test with 95% confidence level is |z| = 1.96.

Since |z| = 1.55 < 1.96, we cannot conclude that the mean daily number of texts for 25–34 year olds differs from the population daily mean number of texts for 18–24 year olds.

A similar problem is given at https://brainly.com/question/25369247

Answer:

For example, if you have to work out the original price of a laptop that is being sold at 25% off:

work out the current price as a percentage of the original price (100%): current price is 100% - 25%

Find 1% by dividing the current price by 75.

Multiply this 1% by 100 to find the original price (100%)

Step-by-step explanation:

Answer:

$42.25

Step-by-step explanation:

List price = $65.00

Discount = 35% .

Hence the new price is (100-35)% = 65% of original price .

=> price = $ 65 * 65/100

=> price = $42.25

The measure of BCF is 45 degrees showing it is the angle supplementary to the angle DCF

Questions are known to be supplementary if the sum of the angles is 180 degrees.

From the given diagram, the measure of the angle DCF is 135 degrees

Determine the measure of the supplementary angle

<x = 180. - 135

<x = 45 degrees

From the diagram, you can see that the measure of BCF is 45 degrees showing it is the angle supplementary to the angle DCF

Learn more on supplementary angles here: https://brainly.com/question/12919120

#SPJ1

Answer:

El ingreso total es todo el dinero que obtiene la empresa por la venta de productos. Se obtiene de multiplicar la cantidad vendida (Q) por su precio (P). Así, si Juan y Ana venden 300 armarios a 30 euros cada uno, su ingreso total son 9.000 euros (300x30)

https://youtu.be/HJtioEk2HIg (video explicando mas)

Answer:

D

Step-by-step explanation:

This graph doesn't show a function because if you draw a vertical line  for the vertical line test through almost anywhere, there would be two points with the same x-value, and that shows that it is not a function.

Answer:

Step-by-step explanation:

Substitute the given points (x, y )

For (x= 1, y= -4)

     4x−5y = 24

4*1 −5* -4 = 24

    4 + 20 = 24

          24 = 24 ✅

For (x= 4, y= 8)

     4x−5y = 24

 4*4 −5*8 = 24

     16 -40 = 24

         -24 = 24 ❌

For (x= 6, y= 0)

     4x−5y = 24

4*6 −5* 0 = 24

       24 -0 = 24

          24 = 24 ✅

For (x= -9, y= -12)

       4x−5y = 24

4*-9 −5*-12 = 24

    -36 + 60 = 24

              24 = 24 ✅

Answer:

Step-by-step explanation:

Answer:

x=1.26186

Step-by-step explanation:

There's an Algebra Calculator called Algebra Papa.

Answer:

no entiendo :C

Step-by-step explanation:

there are 5 gallons in 20 quarts

Answer:

5 gallons are in 20 quarts

Step-by-step explanation:

1gal=4 quarts

20 divided by 4 is 5

Answer:

They are not congruent.