Maxim and Salma were asked to find an explicit formula for the sequence 54,63,72,81,... Maxim said the formula is f(n)=54+9n Salma said the formula is f(n)=9+54nf(n)=9+54n. Which one of them is right?

Answer:

A

Step-by-step explanation:

Final answer:

In step 3 of Kai's calculations, he applied the difference law for logarithms.

Explanation:

In step 1, Kai applied the difference law for logarithms by subtracting the logarithms of 3 and 5 from the logarithm of 27.

In step 3, Kai further simplified by using the property that the logarithm of a number raised to an exponent is the product of the exponent and the logarithm of the number. In this case, he applied this property to rewrite 3^3 as (3^2).

Therefore, the correct answer is Step 3.

So first do the diagram (vent) and but two and two donuts until a odd number pops I think the answer is 5.

[tex]\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\ \cline{1-1} V=5275\\ h=23 \end{cases}\implies 5275=\pi r^2(23)\implies \cfrac{5275}{23\pi }=r^2 \\\\\\ \sqrt{\cfrac{5275}{23\pi }}=r\implies 15.144\approx r~\hspace{10em}\stackrel{diameter=2r}{d\approx 30.288}[/tex]

Answer:

The answer is 10

Step-by-step explanation:

The value of f(5) will be 10 for the given sequence.

A grouping of two or more items in a logical sequence. the sequential arrangement of two or more items. The sequence is a term used to describe chronological order. You should be familiar with the following four primary categories of sequences: arithmetic sequences, geometric sequences, quadratic sequences, and special sequences. a collection of two or more elements arranged logically. the placement of two or more elements in a particular order. The word "sequence" refers to chronological order. Arithmetic sequences, geometric sequences, quadratic sequences, and special sequences are the four main types of sequences that you should be aware of.

Given, A sequence is defined by the recursive formula f (n + 1) = f(n) – 2. If f(1) = 18.

for n = 1

f(2) = f(1) - 2 = 18 -2 = 16

for n = 2

f(3) = f(2) - 2 = 16 - 2 = 14

for n = 3

f(4) = f(3) - 2 = 14- 2 = 12

for n = 4

f(5) = f(4) - 2 = 12-2 = 10

Therefore, For the above sequence, f(5) will have the value of 10.

Learn more about sequence here:

https://brainly.com/question/28615767

#SPJ2

B. 3x+2 is the correct answer

Answer:  The correct option is

(B) [tex]y=3x+2.[/tex]

Step-by-step explanation:  We are given to estimate the line of best fit using the following two points on the line.

(10, 32)  and  (20, 62).

We know that

the slope of a line passing through the points (a, b) and (c, d) is given by

[tex]m=\dfrac{d-b}{c-a}.[/tex]

So, the slope of the given line will be

[tex]m=\dfrac{62-32}{20-0}=\dfrac{30}{10}=3.[/tex]

Since the line passes through the point (10, 32), so its equation is given by

[tex]y-32=m(x-10)\\\\\Rightarrow y-32=3(x-10)\\\\\Rightarrow y=3x+30+32\\\\\Rightarrow y=3x+2.[/tex]

Thus, the required equation of the line of best fit is [tex]y=3x+2.[/tex]

Option (B) is CORRECT.

Answer:

[tex]10.5\ gal[/tex]

Step-by-step explanation:

we know that

[tex]1,000\ cm^{3} =1\ l[/tex]

[tex]1\ l=1.75\ pints[/tex]

[tex]1\ gal=8\ pints[/tex]

we have

[tex]48,000\ cm^{3}[/tex]

step 1

Convert to liters

[tex]48,000\ cm^{3}=48,000/1,000=48\ l[/tex]

step 2

Convert to pints

[tex]48\ l=48*1.75=84\ pints[/tex]

step 3

Convert to gallons

[tex]84\ pints=84/8=10.5\ gal[/tex]

The approximate number of gallons that are equal to 48000cm3 is 12.67 gallons.

1 liter is approximately 1.75 pints, 1 gallon = 8 pints

To convert 48000 cm³ to gallons, first recognize that 1 liter is 1000 cm³.

Therefore, 48000 cm³ is 48 liters.

Next, knowing that 1 gallon is approximately 3.79 liters, divide 48 by 3.79 to get approximately 12.67 gallons.

Answer:

Part A). 20 hours 42 minutes taken by earth to rotate 310°.

Part B). 19 hours 6 minutes taken by earth to rotate 5 radians.

Part C). 2072.4 miles a point on the equator rotate in 2 hours.

Step-by-step explanation:

Given : Earth rotate 360° in 24 hours.

Part A).

Time taken by earth to rotate 360° = 24 hours.

Time taken by earth to rotate 1° = [tex]\frac{24}{360}[/tex] hours.

Time taken by earth to rotate 310° = [tex]\frac{24}{360}\times310[/tex] hours.

                                                   = 20.7 hours = 20 hours 42 minutes (approx.)

Part B).

Time taken by earth to rotate 360° = 24 hours.

We know that 360° = 2π radian

Time taken by earth to rotate 2π radian = 24 hours.

Time taken by earth to rotate 1 radian = [tex]\frac{24}{2\pi}[/tex] hours.

Time taken by earth to rotate 5 = [tex]\frac{24}{2\pi}\times5[/tex] hours.

                                                  = 19.098 hours = 19 hours 6 minutes (approx.)

Part C).

Diameter of Earth = 7920 miles

Radius of Earth, r  = 7920/2 = 3960 miles.

Degree of rotation in 24 hour = 360°

Degree of rotation in 2 hour, [tex]\theta\:=\frac{360}{24}\times2=30^{\circ}[/tex]

Now use Formula used to calculate Length of the arc of the circle.

Length of the Arc = [tex]\frac{\theta}{360}\times2\pi r[/tex]

Length a point on equator moves in 2 hour =  [tex]\frac{\theta}{360}\times2\pi r=\frac{30}{360}\times2\times3.14\times3960=2072.4\:miles[/tex]

Answer:

-0.4

Step-by-step explanation:

z score is:

z = (x - μ) / σ

For x = 28.2, μ = 30, and σ = 4.5:

z = (28.2 - 30) / 4.5

z = -0.4

Answer: -0.4

Step-by-step explanation:

Given: Mean : [tex]\mu=30\text{ inches}[/tex]

Standard deviation : [tex]\sigma=4.5\text{ inches}[/tex]

The formula to calculate z-score is given by :-

[tex]z=\dfrac{X-\mu}{\sigma}[/tex]

For X = 28.2 inches, we have

[tex]z=\dfrac{28.2-30}{4.5}\\\\\Rigahtarrow\ z=-0.4[/tex]

Hence, the z-score of a trout with a length of 28.2 inches.= -0.4

The answer is:

The first measurement of volume is equal to 835.23 mL.

Boyle's Law equation can be used when the temperature is kept constant, and it establishes a relation between the pressure and volume, showing that when an ideal gas is kept constant, the pressure and volume are inversely proportional.

So, we Boyle's Law equation states that:

[tex]P_{1}V_{1}=P_{2}V_{2}[/tex]

Where,

[tex]P_1=FirstPressure\\V_1=FirstVolume\\P_2=NewPressure\\V_2=NewVolume[/tex]

Now, if we are looking for the first volume measurement, we need to rewrite the equation as follow:

[tex]P_{1}V_{1}=P_{2}V_{2}\\\\V_{1}=\frac{P_{2}V_{2}}{P_{1}}[/tex]

So, substituting the given information and calculating, we have:

[tex]V_{1}=\frac{8.59atm*527mL}{5.42atm}[/tex]

[tex]V_{1}=\frac{4526.93atm.mL}{5.42atm}=835.23mL[/tex]

Hence, the first measurement of volume is equal 835.23 mL.

Have a nice day!

Answer:

168.75, about 169 times

Step-by-step explanation:

1 yd= 36 in

300 yd= 10800 in

10800 in/ 64 in=168.75

Answer:

169

Step-by-step explanation:

We are given that

Circumference of Kiran's bike wheel=64 in

Kiran rides total distance=300 yards

We have to find number of rotations made by wheel.

We know that

1 yard=36 in

300 yards=[tex]36\times 300=10800 in[/tex]

Number of rotation=[tex]\frac{Total\;distance\;covered\;by\; wheel}{Circumference\;of\;wheel}[/tex]

Number of rotations=[tex]\frac{10800}{64}=168.75\approx 169[/tex]

Hence, the wheel rotate=169 times

ANSWER

[tex]y = 2 \: \sin(x) [/tex]

EXPLANATION

A basic sine curve has equation in the form:

[tex]y = a \: \sin(x) [/tex]

Where 'a' is the amplitude.

In this case a=2 because the amplitude is 2.

[tex]y = 2 \: \sin(x) [/tex]

For a transformed sine function, the general equation is:

[tex]y = a \: \sin(bx + c) + d[/tex]

where a=2 is still the amplitude

[tex]y = 2 \: \sin(3x + \pi) [/tex]

This is also a sine function with an amplitude of 2.

Others include:

[tex]y = 2 \: \sin(x + 1) [/tex]

[tex]y = 2 \: \sin(4x - \pi) [/tex]

e.t.c

Answer:

The side length is multiplied by the scale factor of 3, which makes it 49.5

Step-by-step explanation:

The scale factor goes as follows

length : scale factor

area: scale factor  squared

Volume : scale factor cubed

Since we increased the area by 9, that would be the scale factor squared

Take the square root of 9, which is 3, and that is the scale factor

We want to know what happens to the length

It is multiplied by the scale factor

16.5*3 = 49.5

[tex]\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\ \cline{1-1} V=2,143.57 \end{cases}\implies 2143.57=\cfrac{4\pi r^3}{3}\implies 6430.71=4\pi r^3 \\\\\\ \cfrac{6430.71}{4\pi }=r^3\implies \stackrel{\pi =3.14}{\cfrac{6430.71}{4(3.14) }}=r^3\implies 511.9992\approx r^3 \\\\\\ \sqrt[3]{511.9992}\approx r\implies 7.999996\approx r\implies \stackrel{\textit{rounded up}}{8=r}[/tex]

Answer:

T T → T

Step-by-step explanation:

A conditional statement, signified by t f which means true and false, is an if-then statement with t being a hypothesis and f being an inference. The statement that illustrates the truth value is T T → T because 3 + 2 = 5 which is true and 5 + 5 = 10 which is also true.

the answer is "Systematic Random Sampling"

Answer:

Option B.

Step-by-step explanation:  

we know that

If a ordered pair is a solution of the system of inequalities

then

the ordered pair must satisfy both inequalities of the system

Verify each case

Case A) we have

The point (3,-2)

Substitute the value of x and the value of y in both inequalities and then compare the results

Inequality 1

[tex]-2< -3[/tex] ----> is not true

therefore

The ordered pair is not a solution of the system A

Case B) we have

The point (3,-2)

Substitute the value of x and the value of y in both inequalities and then compare the results

Inequality 1

[tex]-2> -3[/tex] ----> is true

Inequality 2

[tex]-2 \geq \frac{2}{3} (3)-4[/tex]

[tex]-2\geq -2[/tex] ----> is true

therefore

The ordered pair is a solution of the system B

Case C) we have

The point (3,-2)

Substitute the value of x and the value of y in both inequalities and then compare the results

Inequality 1

[tex]-2<-3[/tex] ----> is not true

therefore

The ordered pair is not a solution of the system C

Case D) we have

The point (3,-2)

Substitute the value of x and the value of y in both inequalities and then compare the results

Inequality 1

[tex]-2>-2[/tex] ----> is not true

therefore

The ordered pair is not a solution of the system D

Answer:

i think it is b as well! on edg

Step-by-step explanation:

Final answer:

Option B, a one-time bonus of 10% of a worker’s annual salary, is not an example of exponential growth or decay because it does not involve a percentage change being applied repeatedly over time to a changing base amount.

Explanation:

The question asked is: Which of the following is not an example of exponential growth or decay? The options are: A. a t-shirt shrinks by 2% after each wash, B. a one time bonus of 10% of a worker’s annual salary, C. a yearly pay increase of 3% each year, D. a savings account growing by 3% each year. To answer this, we must recognize that exponential growth or decay refers to processes that grow or decrease at a rate proportional to their current size. This means the amount of increase or decrease changes over time, as it is a percentage of an ever-changing base amount.

Options A, C, and D all describe situations where the quantity changes by a fixed percentage over time, indicative of exponential growth (or decay, in the case of shrinking). Option A discusses a t-shirt shrinking by 2% after each wash, meaning each time it shrinks, it does so based on its current size, which is a characteristic of exponential decay. Option C talks about a yearly pay increase of 3% each year, and Option D describes a savings account growing by 3% each year; both are examples of exponential growth. Therefore, the answer is Option B, a one-time bonus of 10% of a worker’s annual salary, as it does not describe a situation where the growth rate is applied over time to an ever-changing base amount.

Answer:

D.

Step-by-step explanation:

A linear function is one that has a constant rate of change.

On table D, we can see that it has a constant rate of +2 as every time x increases by 1, y increases by 2.

Answer:

D

Explanation:

Because linear function is having the same difference or in another way it’s having the same rate of change.

Good luck,!~s

Answer:

a couple of irrational numbers: -16±4√19, approximately {1.436, -33.436}

Step-by-step explanation:

Your question can be cast as the quadratic equation

  x² +32x -48 = 0

The solutions can be found using the quadratic formula:

  x = (-32 ±√(32² -4(1)(-48)))/(2(1)) = -16±√304 = -16±4√19

_____

Comment on the equation we used

We notice that when p and q are roots, the equation can be written ...

  (x -p)(x -q) = 0 = x² -(p+q)x +pq

You want p+q = -32, pq = -48, so the equation is ...

  x² -(-32)x +(-48) = 0

  x² +32x -48 = 0 . . . . . . with parentheses eliminated

Answer:

the second one would be more effective because $800*12 will cost a lot more than $650+2 months penalty if u leave

Answer:

80

Step-by-step explanation:

A = Area of First Rectangle

B = Area of Second Rectangle

w = Width

12(w)=320+B (1st Equation)

8(w) = B (2nd Equation)

w=B/8 (Plug this value of w into the first equation)

12B/8 = 320 +B (you get this)

12B= 2560 + 8B (Simplify)

4B = 2560

B =640 plug this value into the 2nd equation

8(w) = 640

w = 80

To Test This

12x80 = 960

8x80 = 640

Answer:

< BCA = 70

Step-by-step explanation:

The complete central angle of a circle is 360 degrees. The given portion is 250 degrees.

What is left over? BOA = 360 - 250 = 110

Tangents always meet the radius at 90 degrees. Since there are two tangents <CAO = <BAO = 90 degrees.

So piecing it all together, the equation becomes

<BAO + CAO + BAO + ACB = 360

110 + 90 + 90 + <ACB = 360

290 + <ACB = 360

<ACB + 290 - 290 = 360 - 290

ACB = 70 degrees

Answer:

The answer is C I believe

Answer:

C. You can qualify for opportunities that might otherwise be impossible

Answer:

69 feet

Step-by-step explanation:

we have

[tex]h(t)=-16t^{2}+64t+5[/tex]

where

h(t) is the height of the ball

t is the time in seconds

we know that the given equation is a vertical parabola open downward

The vertex is the maximum

so

the y-coordinate of the vertex represent the maximum height of the ball

Convert the quadratic equation into vertex form

The equation in vertex form is equal to

[tex]y=(x-h)^{2}+k[/tex]

where

(h,k) is the vertex of the parabola

[tex]h(t)=-16t^{2}+64t+5[/tex]

[tex]h(t)-5=-16t^{2}+64t[/tex]

[tex]h(t)-5=-16(t^{2}-4t)[/tex]

[tex]h(t)-5-64=-16(t^{2}-4t+4)[/tex]

[tex]h(t)-69=-16(t^{2}-4t+4)[/tex]

[tex]h(t)-69=-16(t-2)^{2}[/tex]

[tex]h(t)=-16(t-2)^{2}+69[/tex]

the vertex is the point (2,69)

therefore

The maximum height is 69 ft

Answer:

4

Step-by-step explanation:

Here let the  number of ride tickets be r, and the number of food tickets be f.

Hence

[tex]r+f\ge16\\4r+2f\le40[/tex]

We first plot the two inequalities on graph as shown in attachment. From the graph we see that the two in-equation meet at (4,12)

Hence we can see that the maximum value of r is 4

Answer:

4

Step-by-step explanation: the maximum number of ride tickets she can buy is 4. so option a is correct

Check the picture below.

Answer:

C) the difference identity for the cosine function

Step-by-step explanation:

The last line showing shows the cosine of the difference of two angles. The difference identity for the cosine function would seem to be indicated.

Answer:

The correct answer option is B. Number of Days 120 240 360 480 600 Number of Stories 5 10 15 20 25.

Step-by-step explanation:

We are given some tables showing the number of stories completed in the construction of four different high-rise buildings and the number of days spent working on the building.

We are to determine whether which table represents a linear relationship.

Table B represents a linear relationship since its ratio of number of days to number of stories completed is constant.

Number of Days    120  240  360  480  600  

Number of Stories   5      10     15    20     25

Ratio                        24    24    24    24     24

Answer: you have the correct answer hope this helped please mark me the brainlest answer have a good day mate