The sequence below shows the number of bacteria Arjun observed each hour for a science experiment 5,20,80,320,1,280 which recursive function describes the number of bacteria observed at the nth hour

Answer:The length is 13/2, while the width is 15/4, after combination. Ratio of length to width is then (13/2)/(15/4) = 26/15.

Answer:

  see below

Step-by-step explanation:

21) The law of sines can be used, since you have a side and its opposite angle.

  sin(F)/DE = sin(D)/EF

  F = arcsin(DE/EF·sin(D)) = arcsin(20/31·sin(95°)) ≈ 39.994°

  E = 180° -95° -39.994° ≈ 45.006°

  DF = sin(45.006°)/sin(95°)·31 ≈ 22.006

__

22) The remaining two problems can be solved using the law of cosines:

  c^2 = a^2 + b^2 - 2ab·cos(C)

Of course, c is the square root of the expression on the right.

  EF = √(19^2 +35^2 -2(19)(35)cos(61°)) ≈ √(941.203) ≈ 30.679

Then an angle can be found using the law of sines

  E ≈ arcsin(35/30.679·sin(61°)) ≈ 86.203°

  F ≈ 180° -61° -86.203° ≈ 32.797°

__

23) As in 22 …

  RS = √(20^2 +28^2 -2(20)(28)cos(91°)) ≈ √(1203.547) ≈ 34.692

  R ≈ arcsin(20/34.692·sin(91°)) ≈ 35.199°

  S ≈ 180° -91° -35.199° ≈ 53.801°

The probability would be 50 because 25+25=50

Answer:

2

Step-by-step explanation:

It is not 7, although that looks possible. The 7 is a coefficient (in my day we called it a numerical coefficient).

The constant is not d either.  That is a variable.

The constant is the 2

ANSWER

[tex]y = \frac{1}{3} \cos(x) - 2[/tex]

EXPLANATION

If the graph of y=cos⁡x is transformed to y=a cos ⁡(x−c)+d by a vertical compression by a factor of 1/3 and a translation 2 units down,

then

a=1/3

and d=-2.

The 'c' is a phase shift since it is not given, it means it is zero.

Therefore the new equation is:

y=1/3cos⁡(x-0)−2

This simplifies to:

y=1/3cos⁡x−2

The correct option is C.

Answer:

The new equation is y = 1/3 cos(x) - 2 ⇒ 3rd answer

Step-by-step explanation:

* Lets revise the trigonometry transformation

- If the equation is y = a cos(x - c) + d

# a is the scale factor of a vertical stretch or compression  

# c is the phase shift  (negative is to the right, positive is to the left)

# d is the vertical shift

- If y = cos(x)

∴ a = 1 , c = 0 , d = 0

* Now lets solve the problem

∵ There is a vertical compression by a factor of 1/3

∴ a = 1/3

∵ There is a translation 2 units down (vertical translation)

∴ d = -2

∵ There is now phase shift (horizontal translation)

∴ c = 0

* Now lets write the new equation

∴ y = 1/3 cos(x) - 2

* For more understand look to the attached color graph

- The red is y = cos(x)

- The blue is y = 1/3 cos(x) - 2

Answer:

19

Step-by-step explanation:

If C is the midpoint of KN, then KC = CN

So we can equate the expressions

[tex]KC= 2x+10[/tex]

[tex]CN= 4x+1[/tex]

KC = CN

[tex]2x+10=4x+1[/tex]

Subtract 2x on both sides

[tex]2x-2x+10=4x-2x+1[/tex]

[tex]10=2x+1[/tex]

Subtract 1 on both sides

[tex]9=2x[/tex]

Divide both sides by 2

[tex]x=4.5[/tex]

Now we find out KC

[tex]KC= 2x+10[/tex]

[tex]KC= 2(4.5)+10[/tex]

[tex]KC= 19[/tex]

Answer:

$11,250

Step-by-step explanation:

Yvonne earns a fixed amount of $1,850 per month and want to earn $2,300. The difference is

[tex]\$2,300-\$1,850=\$450.[/tex]

This difference is her commission. If she earns the commission of 4% on the amount of goods that she sells, then

$x - 100%

$450 - 4%

Make a proportion:

[tex]\dfrac{x}{450}=\dfrac{100}{4}\Rightarrow 4x=45,000\\ \\x=\dfrac{45,000}{4}\\ \\x=\$11,250[/tex]

Yvonne must sell $11,250

Answer:

the new pyramid in terms of b and h.

Step-by-step explanation:

the new pyramid

For this case we have by definition, that the equation of a line in the slope-intersection form is given by:

[tex]y = mx + b[/tex]

Where:

m: It's the slope

b: It is the cutoff point with the y axis

We have the following line:

[tex]2x-3y = 12\\2x-12 = 3y\\y = \frac {2} {3} x-4[/tex]

If the line we wish to find is perpendicular to the one given, then its slope is given by:

[tex]m_ {2} = \frac {-1} {m_ {1}}\\m_ {2} = \frac {-1} {\frac {2} {3}}\\m_ {2} = - \frac {3} {2}[/tex]

Then the line is:

[tex]y = - \frac {3} {2} x + b[/tex]

We substitute the point:

[tex]6 = - \frac {3} {2} (2) + b\\6 = -3 + b\\b = 6 + 3\\b = 9[/tex]

Finally, the equation is:

[tex]y = - \frac {3} {2} x + 9[/tex]

Answer:

[tex]y = - \frac {3} {2} x + 9[/tex]

Answer:

I need to know the data to answer the question

Step-by-step explanation:

Adding a score of 0 to your data will lower both the mean and median, and could potentially increase the standard deviation and affect the percentile rankings.

Adding a score of 0 to your data set will affect both the mean (average) and the median (middle value) of the scores.  Thus, adding a zero will decrease the mean. The median is the middle score when all the scores are arranged in order. If you add a score that is lower than the current median score, the median will either stay the same or decrease, depending on the number of scores. If the number of scores is odd, the median will remain the same, if the number is even, the median will decrease.

The standard deviation is a measure of the variability or dispersion of a set of scores. If all values are the same, the standard deviation is zero. The standard deviation is small when the scores are close to the mean and larger when the scores vary more from the mean. Adding a score of zero could increase the standard deviation, depending on the other scores.

The percentiles in your data represent the value below which a given percent of data falls. Adding a score of 0 could potentially affect the percentile rankings of the other scores.

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Answer:

for the first question it would be A. 4+8+16+32 because infinite series are such as :

9,18,36,72,144,288

10,20,40,80,160,

so basically its multiplying *2

I cant do #2 without seeing the formula

Answer:

N⊥M

Step-by-step explanation:

If N║ P and P⊥M then N⊥M

Answer:

X=20Tan(25)

Step-by-step explanation:

So because the cat is looking at the tree it is a strait line making a right triangle with the tree. The cat spots the bird 25 degrees up in the tree making a triangle. Then use SohCahToa, and because u have the adjacent side use Tangent because you are missing the opposite side of the angle. There are a few other ways to find it but that is the simplest way to perform this, GOOD LUCK!

Answer:

30%

Step-by-step explanation:

What your problem is asking basically is how many percent is the withholding of her earnings each week. We just divide what is withheld by the earnings.

[tex]\dfrac{172.50}{575}=0.3[/tex]

Because we need it in percentage, we then multiply it by 100%.

0.30 x 100% = 30%

Answer:

30%

Step-by-step explanation:

Step-by-step explanation:

y = ⅓x − 2

y = -3x − 12

The first line has a y-intercept of -2 and a slope of ⅓.

The second line has a y-intercept of -12 and a slope of -3.

The graph looks like this: desmos.com/calculator/raouxrikbg

From the graph, we see they intersect at (-3, -3).

C. randomly select from all residents.

Answer:

Sorry if i'm late but i think the answer is C. Randomly select from all of the town residents

im 97% sure

Answer:

The predicted GPA is then y = 0.149(15) + 0.89 = 3.125

Step-by-step explanation:

Although you don't specifically say so, the equation you provide here is probably a "best fit" equation based upon data:  GPA versus number of hours of study per week.

Here, y = 0.149x + 0.89 and the number of study hours of interest is 15.

The predicted GPA is then y = 0.149(15) + 0.89 = 3.125

The GPA is 3.125 who studies for 15 hours a week if the line of the best fit is y=0.149x+0.89

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

[tex]\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2}\\\\\rm c = \dfrac{\sum y -m \sum x}{n}[/tex]

We have a line of best fit:

y = 0.149x + 0.89

Plug x = 15 hours

y = 0.149(15) + 0.89

y = 3.125

Thus, the GPA is 3.125 who studies for 15 hours a week if the line of the best fit is y=0.149x+0.89

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Answer:

Step-by-step explanation:

The formula for this is

x° = [tex]\frac{1}{2}[/tex](major arc - minor arc)

The measure around the outside of a circle is 360°.  We have the minor arc as 120°.  So the major arc is 360 - 120 = 240.  Fitting that into the formula:

x° = [tex]\frac{1}{2}[/tex](240 - 120)

x° = [tex]\frac{1}{2}[/tex](120)

x° = 60

Answer:

B. -9a+2

Step-by-step explanation:

You are given the sequence

[tex]t_1=2a,\\ \\t_2=3a-1,\dots\\ \\t_n=2t_{n-1}-3t_{n-2}+1,\ n\ge 3[/tex]

According to the given rule, find [tex]t_3,\ n=3[/tex]

[tex]t_3=2t_2-3t_1+1=2\cdot (3a-1)-3\cdot 2a+1=6a-2-6a+1=-1[/tex]

and [tex]t_4,\ n=4[/tex]

[tex]t_4=2t_3-3t_2+1=2\cdot (-1)-3(3a-1)+1=-2-9a+3+1=-9a+2[/tex]

Answer:

an exponential function

Step-by-step explanation:

Use a function of the same form as the compound amount formula:

A = P(1+r)^5, where r is the appreciation or depreciation rate and P is the initial value.  This is definitely an exponential function.

The given function could model the value of the car as an exponential function.

We have given that,

Jenny bought a new car for $25,995. The value of the car depreciates by 16 percent each year.

We have to determine which type of function could model the value of the car.

Use a function of the same form as the compound amount formula

A = P(1+r)^5,

where r is the appreciation or depreciation rate and P is the initial value. This is definitely an exponential function.

Therefore the given function could model the value of the car as an exponential function.

Therefore the option A is correct

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Answer: The radius

Step-by-step explanation:

The radius is the distance between the center point of the circle and a edge, it is half of the diameter which is the straight line passing through the center point.

Answer:

16. Angle C is approximately 13.0 degrees.

17. The length of segment BC is approximately 45.0.

18. Angle B is approximately 26.0 degrees.

15. The length of segment DF "e" is approximately 12.9.

Step-by-step explanation:

By the law of sine, the sine of interior angles of a triangle are proportional to the length of the side opposite to that angle.

For triangle ABC:

[tex]\displaystyle \frac{\sin{C}}{\sin{A}} = \frac{c}{a}[/tex].

[tex]\displaystyle \sin{C} = \frac{c}{a}\cdot \sin{A} = \frac{6}{26}\times \sin{103\textdegree}[/tex].

[tex]\displaystyle C = \sin^{-1}{(\sin{C}}) = \sin^{-1}{\left(\frac{c}{a}\cdot \sin{A}\right)} = \sin^{-1}{\left(\frac{6}{26}\times \sin{103\textdegree}}\right)} = 13.0\textdegree{}[/tex].

Note that the inverse sine function here [tex]\sin^{-1}()[/tex] is also known as arcsin.

By the law of cosine,

[tex]c^{2} = a^{2} + b^{2} - 2\;a\cdot b\cdot \cos{C}[/tex],

where

For triangle ABC:

Therefore, replace C in the equation with A, and the law of cosine will become:

[tex]a^{2} = b^{2} + c^{2} - 2\;b\cdot c\cdot \cos{A}[/tex].

[tex]\displaystyle \begin{aligned}a &= \sqrt{b^{2} + c^{2} - 2\;b\cdot c\cdot \cos{A}}\\&=\sqrt{21^{2} + 30^{2} - 2\times 21\times 30 \times \cos{123\textdegree}}\\&=45.0 \end{aligned}[/tex].

For triangle ABC:

Start by finding the cosine of angle B. Apply the law of cosine.

[tex]b^{2} = a^{2} + c^{2} - 2\;a\cdot c\cdot \cos{B}[/tex].

[tex]\displaystyle \cos{B} = \frac{a^{2} + c^{2} - b^{2}}{2\;a\cdot c}[/tex].

[tex]\displaystyle B = \cos^{-1}{\left(\frac{a^{2} + c^{2} - b^{2}}{2\;a\cdot c}\right)} = \cos^{-1}{\left(\frac{14^{2} + 6^{2} - 9^{2}}{2\times 14\times 6}\right)} = 26.0\textdegree[/tex].

For triangle DEF:

Apply the law of sine:

[tex]\displaystyle \frac{DF}{EF} = \frac{\sin{E}}{\sin{D}}[/tex]

[tex]\displaystyle DF = \frac{\sin{E}}{\sin{D}}\cdot EF = \frac{\sin{64\textdegree}}{39\textdegree} \times 9 = 12.9[/tex].

Answer:

4x + 5

Step-by-step explanation:

x + 4 + 4x - 5 - 3x + 2 + 2x + 4

= 4x + 5

The algebraic expression that represents the total weight of all the suitcases (Anna's and Tamara's) is 6x + 5.

To find the total weight of all the suitcases, we need to add the weights of Anna's four suitcases and Tamara's four suitcases.

Anna's suitcases' weights: x + 4 and 4x - 5

Tamara's suitcases' weights: -3x + 2 and 2x + 4

The total weight can be represented by the algebraic expression:

Total weight = (x + 4) + (4x - 5) + (-3x + 2) + (2x + 4)

Now, let's simplify the expression:

Total weight = x + 4x - 3x + 2x + 4 - 5 + 2 + 4

Total weight = 6x + 5

So, the algebraic expression that represents the total weight of all the suitcases is 6x + 5.

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the answer is.... no solution

An equation is formed of two equal expressions. For the given equation 64³ˣ=512²ˣ⁺¹² no solution for x exists.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The above equation 64³ˣ=512²ˣ⁺¹² can be solved in the following manner as stated below,

64³ˣ = 512²ˣ⁺¹²

(8²)³ˣ=(8³)²ˣ⁺¹²

8⁶ˣ = 8⁽⁶ˣ⁺³⁶⁾

6x = 6x +36

6x - 6x = 36

0 = 36

As the value of x can not be defined, it can be concluded that the equation has no solution.

Hence, for the given equation no solution for x exists.

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False

As indicated in Figure A below, Plane S contains only point B (remarked in red). Point E (remarked in blue) lies on plane R.

True

As indicated in Figure B below, the line containing points A and B lies entirely in plane T. That line has been remarked in red and it is obvious that lies on plane T.

False

As indicated in Figure C below, line v intersects lines x and y, but line x in intersected at point B while line y (remarked in red) is intersected at point A (remarked in blue), and they are two different points, not the same.

True

As indicated in Figure D below, line z that has been remarked in yellow, intersects plane S at point C that has been remarked in blue.

True

As indicated in Figure E below, planes R and T intersect at line y. The line of intersection has been remarked in red.

Answer:

(x − 4)2 + ( y + 6)2 = 49

Step-by-step explanation:

The equation of a circle with center (h, k) and radius r is                                (x − h)2 + (y − k)2 = r2.

Define h, k and r using the given values. So, h = 4, k = −6 and r = 7.

Substitute the values into the equation of a circle:

(x − 4)2 + (y − (−6))2 =72

Simplify.

(x − 4)2 + (y + 6)2 = 49

Therefore, the equation of the circle B with center B(4, -6) and radius 7 is   (x − 4)2 + (y + 6)2 = 49.

The equation of the circle B with center B(4,−6) and radius 7 is[tex]\rm (x-4)^2+(y+6)^2=49[/tex], the corrcet option is B.

A circle can be represented as;

[tex]\rm (x-h)^2+(y-k)^2=r^2[/tex]

Where h and k are the centers of the circle and r is the radius of the circle.

The equation of circle B with center B(4,−6) and radius 7.

Substitute all the values in the equation

[tex]\rm (x-h)^2+(y-k)^2=r^2\\\\\rm (x-4)^2+(y-(-6))^2=7^2\\\\\rm (x-4)^2+(y+6)^2=49[/tex]

Hence the equation of circle B with center B(4,−6) and radius 7 is[tex]\rm (x-4)^2+(y+6)^2=49[/tex], the correct option is B.

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Answer:

your answer is a

Step-by-step explanation:

The correct inequality and number line that model the situation above is:

             10 ≤ weight of boxes ≤ 20

  and the correct graph is:  Graph A

The desired weight of raisins is:  15 ounces.

As the weight of the raisins packed differs by a maximum of 5 ounces.

This means that the weight of the raisins packed could either be less by 5 ounces or more by 5 ounces.

i.e.  Weight of raisins could be minimum= 15-5=10 ounces.

and weight of raisins could be maximum= 15+5=20 ounces.

Hence, the inequality that will hold true is:

               10 ≤ weight of boxes ≤ 20

and the graph that describe this situation is attached to the answer.

Answer:

  x = 5

Step-by-step explanation:

The sum of the side lengths shown is ...

  (2x) + (3x +2) + (4x +1) = 9x +3

That is the perimeter of the inscribed triangle. That triangle is similar to triangle ABC by a scale factor of 1:2, so the perimeter of ΔABC is ...

  2(9x +3) = 96 = 18x +6

  90 = 18x . . . . subtract 6

  90/18 = x = 5 . . . . . divide by the coefficient of x

Answer:

The answer is (d) ⇒ cscx = √3

Step-by-step explanation:

∵ sinx + (cotx)(cosx) = √3

∵ sinx + (cosx/sinx)(cosx) = √3

∴ sinx + cos²x/sinx = √3

∵ cos²x = 1 - sin²x

∴ sinx + (1 - sin²x)/sinx = √3 ⇒ make L.C.M

∴ (sin²x + 1 - sin²x)/sinx = √3

∴ 1/sinx = √3

∵ 1/sinx = cscx

∴ cscx = √3

Answer:

d. [tex]\sqrt{3}[/tex]

Step-by-step explanation:

see attachment, it's correct :))