What is the measure of ZB?​

[tex](-4.89, 3)[/tex] and [tex](4.89, 3)[/tex] are the farthest from the origin and [tex](0, -1)[/tex] is the closest from the origin.

Let be a curve of the form [tex]x^{2}+3\cdot (y-2)^{2} = 27[/tex]. The distance with respect to origin is found by using the following Pythagorean identity:

[tex]r = x^{2}+y^{2}[/tex] (1)

Where [tex]r[/tex] is the square distance function.

We can modify (1) as following:

[tex]r = [27-3\cdot (y-2)^{2}]+y^{2}[/tex]

[tex]r = 27-3\cdot (y^{2}-4\cdot y +4)+y^{2}[/tex]

[tex]r = 27-3\cdot y^{2}+12\cdot y -12 + y^{2}[/tex]

[tex]r = -2\cdot y^{2}+12\cdot y+27[/tex] (1b)

Now we apply the First and second derivative tests to determine the minimum and maximum distances from the origin:

First derivative test

[tex]-4\cdot y +12 = 0[/tex]

[tex]y = 3[/tex]

Second derivative test

[tex]r'' = -4[/tex]

The y-component represents a maximum.

Now we graph the function with the ressource of a graphing tool, we find the following points:

Farthest points: [tex](-4.89, 3)[/tex], [tex](4.89, 3)[/tex].

Closest points: [tex](0, -1)[/tex].

[tex](-4.89, 3)[/tex] and [tex](4.89, 3)[/tex] are the farthest from the origin and [tex](0, -1)[/tex] is the closest from the origin.

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Answer:

This is the arithmetic sequence which has a common difference that equals to -4.

Step-by-step explanation:

An arithmetic sequence is a sequence with common difference. A common difference can be found by subtracting previous term with next term.

A common difference can be expressed in [tex]\displaystyle \large{d=a_{n+1}-a_n}[/tex] where d stands for common difference.

________

Moving to the question given. We have a sequence with given 15,11,7, ... first subtract 15 with 11.

11-15 = -4

7-11 = -4

Therefore, we can conclude that the common difference is -4 thus making the given sequence an arithmetic.

Let me know if you have any question so regarding the sequence!

Answer:

The probability will be [tex]\frac{1}{2}[/tex], since there are a total of 11 purple and red Skittles and an overall total of 22 Skittles in the bag.

Step-by-step explanation:

The answer is

In step 1 the multiplication property of equality was applied incorrectly

Answer:

Having enough to retire.

Step-by-step explanation:

The biggest long-term financial goal for most people is saving enough money to retire. The common rule of thumb that you should save 10% to 15% of every paycheck in a tax-advantaged retirement account like a 401(k) or 403(b), if you have access to one, or a traditional IRA or Roth IRA.

56 + 8x

Area of Rectangle = Length x Width

Area of Rectangle = 8(7 + x)

Answer:

Step-by-step explanation:

1+1=2

2+2=4

3+3=6

4+4=8

5+5=10

I'm pretty sure it's $186

Average power output, in watts = 0.8103 watts

The average power represents the constant energy that has been used throughout the time of the journey at a constant rate.

It can be expressed by the following relation:

P=E/T

Given,

Energy consumed per mile = 93 calories

Time taken to cover 1 mile = 8 minutes

Energy consumed per minute = 93/8 calories

Average power = 93/8 = 11.625 calorie per minute

1 calorie per minute = 0.0697 watt

Average power output in watts = 11.625 × 0.0697

                                                    = 0.8103 watt

Hence, 0.8103 watt is the average power output in watt.

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Answer:

13,608

Step-by-step explanation:

If 7/10 of the runners were women, than 3/10 of the runners were men. 3/10 of 45,360 runners is 13,608.

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Answer:

so where does that line intersect the y axis? just plug in x=0 and you see y= -1. so (0, -1)

y = -x -1 is parallel because it has the same slope and goes through the right point

Answer:

-7/4

Step-by-step explanation:

The slope for line A is 4/7 and you find the perpendicular slope by finding the reciprocal so you would get 7/4 then you multiply that by -1. The end result would be -7/4.

Answer:

— 7/4

Step-by-step explanation:

1) Find the slope of line A:

m=∆y/∆x

=(4—0)/(0+7)

= 4/7

2) When a line is perpendicular to another we have: mm' = — 1

(m' stands for slope of second line)

In this case m' is: m' = — 7/4

Answer:

C

Step-by-step explanation

It makes the most sense

Answer:

check online for more information

Answer:

he starts with 70 and $45-18=27 so he makes $27 to add to those $70

Step-by-step explanation:

Answer:

[tex]C. x = \frac{81}{4} = 20.25[/tex]

Step-by-step explanation:

[tex]\frac{1}{4}\left(4x+15\right)=24[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}4[/tex]

[tex]4\cdot \frac{1}{4}\left(4x+15\right)=24\cdot \:4[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]4x+15=96[/tex]

[tex]\mathrm{Subtract\:}15\mathrm{\:from\:both\:sides}[/tex]

[tex]4x+15-15=96-15[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]4x=81[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}4[/tex]

[tex]\frac{4x}{4}=\frac{81}{4}[/tex]

[tex]Simplify[/tex]

[tex]x=\frac{81}{4}[/tex]

Answer: 42

6(9-2)

= 6 * 7

= 42

Answer:

6(9-2)

=6×7

=42 ans

Step-by-step explanation:

I think it help you I also you understand it

Step-by-step explanation:

I am sorry but I cannot see your question

The scale factor is: 1/5.

The missing sides of figure B are: 2.4, 3.6, and 4.

Scale factor = dimension of new figure / dimension of original figure

The polygons given are shown in the diagram attached below.

Figure A is the original figure

Figure B is the new figure.

x, y, and z has been used to mark the missing sides of figure B.

One dimension of original figure = 15

Corresponding dimension of the new figure = 3

Scale factor = new/original = 3/15

Scale factor = 1/5

To find the missing sides of figure B, multiply each corresponding side lengths of Figure A by the scale factor:

x = 12 × 1/5 = 2.4

y = 18 × 1/5 = 3.6

z = 20 × 1/5 = 4

In summary:

The scale factor is: 1/5.

The missing sides of figure B are: 2.4, 3.6, and 4.

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Answer:

14 nickels is the answer

Step-by-step explanation:

Answer:

10.00 +4s .

u wanted expression ,  not answer.?

Step-by-step explanation:

Answer:

5/49

Step-by-step explanation:

decimal form = 0.10

Answer:

5/49

hope it helps! stay safe as always!

Assuming that the selection process was done without replacement, the probability of selecting two white mugs without replacement is 1/28

Sample Space

Red mugs = 4

yellow mugs = 8

white mugs = 2

Sample Size = 4+8+2 = 14

We are going to assume the selection was done with out replacement

Hence the probability of selecting the first white mug is

Pr(W1) = 2/8 = 1/4

The probability of selecting the second white mug is

Pr(W2) = 1/7

Hence the probability of selecting  two white mugs one after another

= 1/4*1/7

=1/28

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is this one of your answer choice?

Answer:

add the two then subtract the two and put those answers in each box :)

Step-by-step explanation:

hope this helped! happy holidays!

Answer:

put rice with chicken

Step-by-step explanation:

Hoped this helped.

[tex]-BrainaicUser1357-[/tex]

Let the number be x

#11

[tex]\\ \sf\longmapsto x+6=20[/tex]

#12

[tex]\\ \sf\longmapsto x-7=4[/tex]

#13

[tex]\\ \sf\longmapsto x(x+1)=31[/tex]

#14

[tex]\\ \sf\longmapsto 2x+2=13[/tex]

#15

[tex]\\ \sf\longmapsto x-1=18[/tex]

#16

[tex]\\ \sf\longmapsto x^2+4=17[/tex]

#17

[tex]\\ \sf\longmapsto x^2/2=18[/tex]

#18

[tex]\\ \sf\longmapsto x+90/2=70[/tex]