what function is increasing? will give brainlist !

What Function Is Increasing? Will Give Brainlist !

Answers

Answer 1

Answer:

Option B.

Step-by-step explanation:

Option A.

f(x) = [tex](0.5)^{x}[/tex]

Derivative of the given function,

f'(x) = [tex]\frac{d}{dx}(0.5)^x[/tex]

      = [tex](0.5)^x[\text{ln}(0.5)][/tex]

      = [tex]-(0.693)(0.5)^{x}[/tex]

Since derivative of the function is negative, the given function is decreasing.

Option B. f(x) = [tex]5^x[/tex]

f'(x) = [tex]\frac{d}{dx}(5)^x[/tex]

      = [tex](5)^x[\text{ln}(5)][/tex]

      = [tex]1.609(5)^x[/tex]

Since derivative is positive, given function is increasing.

Option C. f(x) = [tex](\frac{1}{5})^x[/tex]

f'(x) = [tex]\frac{d}{dx}(\frac{1}{5})^x[/tex]

      = [tex]\frac{d}{dx}(5)^{(-x)}[/tex]

      = [tex]-5^{-x}.\text{ln}(5)[/tex]

Since derivative is negative, given function is decreasing.

Option D. f(x) = [tex](\frac{1}{15})^x[/tex]

                f'(x) = [tex]-15^{-x}[\text{ln}(15)][/tex]

                       = [tex]-2.708(15)^{-x}[/tex]

Since derivative is negative, given function is decreasing.

Option (B) is the answer.


Related Questions

Please answer this correctly

Answers

Answer:

169.5 yd²

Step-by-step explanation:

See attachment.

In situations like this, ALWAYS (!) make as sketch.

Divide the areas by adding dotted lines on sensible places, and write in the missing numbers for the correct distances.

The only possible difficult one is the triangle, which is the half of a rectangle. So you are dealing with a series of areas of rectangles. That is really easy if you understand what you are doing.

Total area =

area 1 + area 2 + area 3 + area 4

10*4 + 4*7 + 3*13 + (0.5 * 7*17)

40 + 28 + 42 + 59.5

Total area = 169.5 yd²

Solve 5x^2+3x-4=0 for x using quadratic formula

Answers

Answer:

Step-by-step explanation:That would be the answer

How can I make the red segment less steep than the blue segment , and more steep than the green segment ?

Answers

There’s no photo? How could we answer

The functions s and t are defined as follows. s(x)=3x-4 t(x)=-5x+3 Find the value of s(t(-1)).

Answers

t(x)=-5x+3

t(-1)=-5*(-1)+3=5+3=8

s(x)=3x-4

s(t(-1))=s(8)=3*8-4=24-4=20

answer is 20

Change the fraction1/5 to a percent

Answers

Answer:

Step-by-step explanation:

The volume of a triangular prism is increased by a factor of 8.
By what factor is the surface area of the figure increased?
o 2
o 4
016
o 24

Answers

c:16

i believe that is the right answer

Find the value of x in the figure below

Answers

88°

Step-by-step explanation:

sum of angle=720

95+120+120+172+125+x=720

632+x=720

×=720-632

x=88

Answer:

[tex] \boxed{x \degree = 88 \degree} [/tex]

Step-by-step explanation:

Sum of the interior angles of a hexagon is 720°

[tex] = > x \degree + 172 \degree + 120 \degree + 95 \degree + 120 \degree + 125 \degree = 720 \degree \\ \\ = > x \degree + 172 \degree + 240 \degree + 220 \degree = 720 \degree \\ \\ = > x \degree + 172 \degree + 460 \degree = 720 \degree \\ \\ = > x \degree + 632 \degree = 720 \degree \\ \\ = > x \degree = 720 \degree - 632 \degree \\ \\ = > x \degree = 88 \degree[/tex]

The illustration below is an example of a semi regular tessellation
true or false?

Answers

The correct answer is False

Explanation:

A tessellation refers to a regular pattern created by using regular polygons; additionally, in a tessellation, there are no gaps or spaces between the polygons. Besides this, a tesselation is categorized as regular if there is only one type of polygon in all the pattern or as semi-regular if there are two or more polygons but these still form a regular pattern. According to this, the illustration below is not a semi-regular tessellation because this only includes one polygon (hexagons), and therefore this would be classified as a regular tessellation.

Answer:

B

Step-by-step explanation:

Given the diagram below, what is m

Answers

where is m?

if it was asking for angle A the answer would be D.

Answer:

D. 70

Step-by-step explanation:

because the D side is the same line as A and the D side is also 70

if the base of a right angled triangle is 4cm and its area is 20cm^2, find its height

Answers

answer will be 10cm² as i calculate it

What’s the correct answer for this question?

Answers

Answer:

S ≈ 9.8

Step-by-step explanation:

Finding central angle of circle A first

S=r∅

6.5 = (4)∅

Central angle = 6.5/4

C A = 1.63(in radians)

Now finding Arc EF

S = r∅

S = (6)(1.63)

S = 9.75

S ≈ 9.8

PLEASE HELP

Which of the following is an arithmetic sequence?


A: -2, 4, -6, 8, ...
B: -8, -6, -4, -2, ...
C: 2, 4, 8, 16, ...

Answers

Answer : b
Same distance between consecutive terms.

It is believed that approximately 12% of the population of the United States is lefthanded. Suppose researchers suspect that the proportion of left-handed people is higher in certain states than the national average. The researchers conduct a sample of 200 randomly selected people in the state of Maine and find that 29 people in the sample are left-handed.
a. Write the null hypothesis and alternative hypothesis and define your parameter.
b. Show that the necessary conditions (Randomization Condition, 10% Condition, Sample Size Condition) are satisfied to perform a hypothesis test. Briefly explain how each condition is satisfied.
c. Perform the hypothesis test and find the P-value. (To show your work: Write down what values you are entering into the hypothesis testing calculator.)
d. Is there strong evidence that the left-handed rate in the state of Maine is higher than the national average? Briefly explain how you know.

Answers

Answer:

Step-by-step explanation:

a. Null hypothesis: P = p

Alternatives hypothesis: P =/ p

Where P is the hypothesized population proportion and p is the sample proportion

b. Performing a test of proportions

Randomization: the sample was randomly selected in the study

The population size is at least 20 times as big as the sample size.

The sample includes both successes and failures with 29 success and 171 failures.

c. To perform the hypothesis test: we have to find the standard deviation first

Sd = sqrt[ P * ( 1 - P ) / n ]

where P is the hypothesized value of population proportion, n is the sample size.

Sd = √[0.12*(1-0.12)/200]

Sd = √[0.12*(0.88/200]

Sd = √[0.12*(0.0044)]

Sd = √0.000528

Sd = 0.023

Then we can find the z score

z = (p - P) / σ where p = 29/200 = 0.145

z = (0.145-0.12)/ 0.023

z = 0.025/0.023

z = 1.09

Calculation the p value using 0.05 level of significance and a two waited test (p value calculator),

A p-value of 0.2757 which is greater than 0.05, thus we will fail to reject the null stating that there is not enough strong evidence that the left-handed rate in the state of Maine is higher than the national average.

ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. I say no guessing because people usually guess on my questions. CHECK ALL THAT APPLY.

Answers

Answer:

B, E

Step-by-step explanation:

A line has a negative slope when it decreases going left to right.

As the absolute value of the slope gets larger (-2 to -3 would be 2 to 3), the graph gets steeper (-3 is steeper than -2).

Answer:

B & E

Step-by-step explanation:

Please help me explain your answer only answer if you are sure

Answers

Answer:

The answer of top prism is 262

and down prism is 478

The upper figure is triangular prism.

so, we use bh+2ls+lb formula

B=5

h=3

s=4

l=19

Now,

surface area of triangular prism = bh+2ls+lb

= 5×3+2×19×4+19×5

= 262

The down figure is rectangular prism.

so, we use 2lw+2lh+2hw

l=5

h=6

w=19

Now,

The area of rectangular prism = 2lw+2lh+2hw

= 2×5×19+2×19×6+2×5×6

= 478

Answer on top is prism 262

The sum of two numbers is 978. One of the numbers is 152. What is the other number?

Answers

Answer:

826

Step-by-step explanation:

a+b=978

a=152

b=978-152=826

4 MINUTES LEFT! MY LAST QUESTION WILL FOREVER BE GRATEFUL PLS HELP WILL GIVE BRANLIEST!! AT LEAST TAKE A LOOK!!!! PLS I AM BEGGING!!!

1. Molly is trying to find a relationship between the largest angle and largest side of a triangle. She has drawn dozens of triangles, and measured their parts. She’s ready to make a conjecture. What kind of reasoning was Molly using? Explain how you know it’s that kind of reasoning.

Answers

Answer:

Inductive reasoning

Step-by-step explanation:

I know that Molly is using inductive reasoning because she is collecting data from drawing and measuring the triangles to form a hypothesis. This hypothesis is whether or not there is a relationship between the largest angle and the largest side of a triangle.

Molly is using "Inductive Reasoning".

Inductive reasoning is a reasoning that is based on patterns you observe. If you observe a pattern in several tries, you can use inductive reasoning to decide the result of the next try, (although you have to be aware that the conclusion you reach this way may not be valid).

A conclusion you reach using inductive reasoning is called a "conjecture".  After measuring dozens of triangles, Molly has noticed a pattern, so she is ready to make a conjecture.

(It seems to me that a conjecture and a hypothesis are closely related.)

Now please arise from upon your knees.

Translate the phrase into a variable expression. Use the letter d to name the variable. If necessary use the asterisk for multiplication and the slash for division. the product of 40 and distance to the finish line

Answers

Answer:

40*d

Step-by-step explanation:

The word product means multiplication, and here it is multiplying 40 and the distance(d).

Answer:

40x5

Step-by-step explanation:

The weight of an
object on Earth varies
directly as the weight
of that object on the
B moon. If a 150-1b
object would weigh
24 lbs on the moon,
how much would a 95-
lb object weigh on the
moon?​

Answers

Answer:

15.2 lbs

Step-by-step explanation:

Make a ratio: 150 : 24 = 95 : x

[tex]\frac{75}{12}=\frac{95}{x}[/tex]

75x = 1140

x = 15.2

find the common difference of the arithmetic sequence 4, 10, 16,...​

Answers

The common difference is six as each number goes up by six each time

4+6=10+6=16+6=22+6=28...

I hope it is helpful for everyone

Two barrels are mathematically similar
The smaller barrel has a height of [tex]h[/tex]cm and a capacity of 100 Liters
The larger barrel has a height of 90cm and a capacity of 160 Liters
-Work out the value of [tex]h[/tex]

Answers

Answer:

h ≈ 77 cm

Step-by-step explanation:

Let us convert the liters to cm³.

Smaller barrel

0.001 litres = 1 cm³

100 litres = 100000  cm³

Larger barrel

0.001 litres = 1 cm³

160 litres = 160000  cm³

For a similar solid figure the cube of their corresponding sides is equal to the volume ratio.

This means

h³/90³ = 100000/160000

cube root both sides

h/90 =  ∛100000 / ∛160000

h/90 = 46.4158883/54.2883523

cross multiply

54.2883523h = 46.4158883 × 90

54.2883523h = 4177.429947

divide both side by  54.2883523

h = 4177.429947/54.2883523

h = 76.9489175858

h ≈ 77 cm

Anyone know this at all?

Answers

Answer:

  24.2

Step-by-step explanation:

You are given the hypotenuse and angle, and you want to find the length of the adjacent side.

The mnemonic SOH CAH TOA reminds you that the relation between angle and sides is ...

  Cos = Adjacent/Hypotenuse

  cos(41°) = x/32

  x = 32·cos(41°)

  x ≈ 24.2

Do you think a sequence of translations across the x- or
y-axis and/or reflections on a figure could result in the
same image as a 90-degree clockwise rotation? Explain
why or why not.

Answers

I think just two reflections would do it.

First we reflect around y = -x, the 45 degree line through the origin and the second and fourth quadrant.

Then we reflect through the y axis, x=0.

The composition of the two reflections is equivalent to a 90 degree clockwise rotation.

Answer: No, it is not possible to get the same image as a 90-degree clockwise rotation using only translations and/or reflections. In the rotation, the x- and y-coordinates are switched. There is no way to reverse the order of the coordinates using only reflections or translations.

Step-by-step explanation:

ITS CORRECT. EDGE 2020

Need answers to 32 and 33

Answers

So for 32 it’s Pi*squared. So Pi*8^2. If ur rounding to no decimal places. Then it will be 201. So 32 is c)201

I need help please help me

Answers

Answer:

Option 2

Step-by-step explanation:

Cost of book= 6.50

Shipping= 4.99

Total= 82.99

Equation:

6.50x+4.99= 82.99

Option 2 is correct

A Cepheid variable star is a star whose brightness alternately increases and decreases. For a certain star, the interval between times of maximum brightness is 4.2 days. The average brightness of this star is 3.0 and its brightness changes by ±0.25. In view of these data, the brightness of the star at time t, where t is measured in days, has been modeled by the function B(t) = 3.0 + 0.25 sin 2πt 4.2 . (a) Find the rate of change of the brightness after t days. dB dt =

Answers

Answer:

a) [tex]\frac{dB}{dt} = \frac{5\pi}{4.2} \cdot \cos \left(2\pi\cdot \frac{t}{4.2} \right)[/tex], b) [tex]\frac{dB}{dt}\approx 5.595[/tex]

Step-by-step explanation:

a) The rate of change of the brightness of the Cepheid can be determined by deriving the function in time:

[tex]\frac{dB}{dt} = \left(\frac{2\pi}{4.2} \right)\cdot 0.25\cdot \cos (2\pi\cdot \frac{t}{4.2})[/tex]

[tex]\frac{dB}{dt} = \frac{5\pi}{4.2} \cdot \cos \left(2\pi\cdot \frac{t}{4.2} \right)[/tex]

b) The rate of increase after one day is:

[tex]\frac{dB}{dt} = \frac{5\pi}{4.2} \cdot \left(2\pi \cdot \frac{1}{4.2} \right)[/tex]

[tex]\frac{dB}{dt}\approx 5.595[/tex]

What should I buy? A study conducted by a research group in a recent year reported that of cell phone owners used their phones inside a store for guidance on purchasing decisions. A sample of cell phone owners is studied. Round the answers to four decimal places.

Answers

Answer:

The probability that seven or more of them used their phones for guidance on purchasing decisions is 0.7886.

Step-by-step explanation:

The question is incomplete:

What should I buy? A study conducted by a research group in a recent year reported that 57% of cell phone owners used their phones inside a store for guidance on purchasing decisions. A sample of 14 cell phone owners is studied. Round the answers to at least four decimal places. What is the probability that seven or more of them used their phones for guidance on purchasing decisions?

We can model this as a binomial random variable, with p=0.57 and n=14.

[tex]P(x=k)=\dbinom{n}{k} p^{k}q^{n-k}[/tex]

a) We have to calculate the probability that seven or more of them used their phones for guidance on purchasing decisions:

[tex]P(x\geq7)=\sum_{k=7}^{14}P(x=k)\\\\\\[/tex]

[tex]P(x=7)=\dbinom{14}{7} p^{7}q^{7}=3432*0.0195*0.0027=0.1824\\\\\\P(x=8) = \dbinom{14}{8} p^{8}q^{6}=3003*0.0111*0.0063=0.2115\\\\\\P(x=9) = \dbinom{14}{9} p^{9}q^{5}=2002*0.0064*0.0147=0.1869\\\\\\P(x=10) = \dbinom{14}{10} p^{10}q^{4}=1001*0.0036*0.0342=0.1239\\\\\\P(x=11) = \dbinom{14}{11} p^{11}q^{3}=364*0.0021*0.0795=0.0597\\\\\\P(x=12) = \dbinom{14}{12} p^{12}q^{2}=91*0.0012*0.1849=0.0198\\\\\\P(x=13) = \dbinom{14}{13} p^{13}q^{1}=14*0.0007*0.43=0.004\\\\\\[/tex]

[tex]P(x=14) = \dbinom{14}{14} p^{14}q^{0}=1*0.0004*1=0.0004\\\\\\[/tex]

[tex]P(x\geq7)=0.1824+0.2115+0.1869+0.1239+0.0597+0.0198+0.004+0.0004\\\\P(x\geq7)=0.7886[/tex]

How many commuters must be randomly selected to estimate the mean driving time of Chicago commuters? We want 98% confidence that the sample mean is within 4 minutes of the population mean, and the population standard deviation is known to be 12 minutes. 25 35 49 60

Answers

Answer:

49

Step-by-step explanation:

Margin of error = critical value × standard error

ME = CV × SE

The critical value at 98% confidence is z = 2.326.

Standard error is SE = σ / √n.

4 = 2.326 × 12 / √n

n = 49

Which choice is equivalent to the expression below?
root-81

A. 9i
B. i root9
C. root9i
D. -9
E. -root9

Answers

Answer: B

Step-by-step explanation:

Caroline, krutika and Natasha share some sweets in the ratio 4:5:1

Answers

Answer:

Ratio 4 is for Caroline, ratio 5 is for krutika, ratio 1 is for Natasha

Ratio 4 is for Caroline, Ratio 5 is for Krutika, ratio 1 is for Natasha
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