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Answer:

Option D

Step-by-step explanation:

Slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by the formula,

Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

From the graph attached,

Since, the given line passes through two points (-3, 0) and (0, 2),

Slope of the line = [tex]\frac{2-0}{0-(-3)}[/tex]

                           = [tex]\frac{2}{3}[/tex]

y-intercept of the line is the point of intersection of the line and y-axis.

Therefore, y-intercept of the line given in the graph is,

y = 2 units

Option D is the answer.                    

Answer:

L = 50 * (-0.4)^(n - 1)

Step-by-step explanation:

r = t2/t1 = -20/50 = - 0.4

a = 50

L = 50 * (r)^(n - 1)      Let's  see if we can get the answer when n = 3

L=50 * (-0.4)^(3 -1)

L =50* (-0.4)^2

L = 50 * 0.16

L = 8 which is correct

Answer:

65

Step-by-step explanation:

It's the absolute value of -65

Hope this helped, Have a Wonderful Day!!

Answer:

look around for it maybe it fell under your bed, couch etc just look

Step-by-step explanation:

9514 1404 393

Answer:

  RB = 16

Step-by-step explanation:

When chords cross, the product of the lengths of the pieces of the chord is the same for all:

  RB·RD = RE·RC

  RB = RE·RC/RD = 8·14/7 = 8·2

  RB = 16

Answer:

Step-by-step explanation:

Emery is paid 15 dollars an hour and she worked 38 hours

15*38=570 dollars just from the hourly wage

the commission is 2.25% and her sales were 3,200 dollars

(3200*2.25)/100=72

total=570+72=642

Answer:

The regular sales price was $4.69

Answer:

4.69

Step-by-step explanation:

I had the maps test

Answer: 344.7

Explanation:

344.7∣234

  (Cut ^off point at the line)

The digit to the right of the cut of the point is less than 5. So the digit to its left (the 7) is not changed and all those to the right are changed to 0 gives you:

344.7000

Written as 344.7

Hope this helps and hope you have a wonderful day :)

Answer:

5

Step-by-step explanation:

Answer:

a) Already correct

b) If x represents each one dollar increase in price, than prices that are increased by $16 and $28

c) $6

d) Maximum Revenue would be $2,420

e) x = -5 but it's extraneous

(if we were using imaginary numbers then it would be 5i)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

x = 44.4°

Step-by-step explanation:

Use SOHCAHTOA.

In this case, use sine trigonometric function formula

[tex] \sin(x) = \frac{o}{h} [/tex]

The opposite side of angle is 7.

The hypoteneuse is 10.

So,

[tex] \sin(x) = \frac{7}{10} \\ x = \sin ^{ - 1} ( \frac{7}{10} ) \\ x = {44.427}^{o} \\ x = {44.4}^{o} [/tex]

9514 1404 393

Answer:

  44.4°

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that ...

  Sin = Opposite/Hypotenuse

  sin(x) = 7/10

  x = arcsin(7/10)

  x = 44.4°

Answer:

L=8 and J=11

Step-by-step explanation:

If Lee is L and Joanna is J we get: L+J=19.

And since Joanna has 3 more than Lee we get: J=L+3

When we substitute J for L+3 we get: 2L+3=19

When we solve we get: L=8

Finally, since J=L+3 we get: J=11

Answer:

The value is [tex]P( O \ and \ A ) = 0.583[/tex]

Step-by-step explanation:

From the question we are told that

   The  number of apples is  [tex]A = 7[/tex]

   The  number of oranges is  [tex]R = 5[/tex]

Generally the probability that the bowl will be empty after the last apple  is taken from the box is mathematically represented as

  The probability that  5 oranges   and 7 apples are drawn in the 1st 11 draws

So

      [tex]P( O \ and \ A ) = \frac{(^5 C_5) * (^7 C_6) }{^{12} C_{11}}[/tex]

Here C stands for combination hence we are going to be making use of the combination function in our calculators  

      [tex]P( O \ and \ A ) = \frac{(1 * 7 )}{12}[/tex]

=> [tex]P( O \ and \ A ) = 0.583[/tex]

Answer:

[tex]y+5 = \frac{1}{15}(x - 3)}[/tex]

Step-by-step explanation:

Given

[tex]m = \frac{1}{15}[/tex] -- Slope

[tex](x_1,y_1) = (3,-5)[/tex] --- Point

Required

Write an equation in point slope form

The point slope form of an equation is:

[tex]y - y_1 = m(x - x_1)[/tex]

Substitute values for y1, x1 and m

[tex]y-(-5) = \frac{1}{15}(x - 3)}[/tex]

[tex]y+5 = \frac{1}{15}(x - 3)}[/tex]

Hence, the equation in point slope form is:

[tex]y+5 = \frac{1}{15}(x - 3)}[/tex]

Answer:

c

Step-by-step explanation:

Answer:

if gray is what's left then it is C if white is what's left it is A

Step-by-step explanation:

Step-by-step explanation:

A because it shows the 2/3 of the pie colored meaning eaten

Answer:

He will have in total $1312.50

He earns a total of $62.50

Step-by-step explanation:

1250 x 1.05 = 1312.50

1250 x 0.05 = 62.50

Answer:

Please check explanations for answer to the question

Step-by-step explanation:

The exponential relation can generally be represented as ;

y = I (1 + x)^n

where I is the initial value

1 + x represents the growth rate

n represents the time such as number of years

y represents the value after n count

a) The value 1200 represents the initial count of bacteria in the study

b) 1.8 represents the growth rate of the bacteria population in the culture

c) 1000 represents the initial bacteria population in the second function

The difference mean that the initial population in the first case study is greater than what we have in the second function

============================================

Explanation:

A diagram is very handy for this type of problem. Refer to the diagram below (attached image). Here are the steps used to form the diagram

The diagram below shows all of this visually summarized. We have the segments

And we have these angles

Angle ABC comes from the fact that the blue and green angles add with the red angle to get 180. So we basically need to solve 46+y+55 = 180 which leads to y = 79.

------------------------------

Once the diagram is set up, we'll use the law of cosines to find x.

Focus on triangle ABC. Ignore points D,E,F. Ignore any extra lines as well.

The interior angles of triangle ABC are

The sides opposite the angles are

Now we can apply the law of cosines

b^2 = a^2 + c^2 - 2*a*c*cos(B)

x^2 = 483^2 + 550^2 - 2*483*550*cos(79)

x^2 = 434412.180756441

x = sqrt(434412.180756441)

x = 659.099522649229

x = 659

Side AC, or CA, is roughly 659 miles long.

------------

To find the total distance the plane travels, we add up the three sides of the triangle (ie we find the perimeter)

Distance Traveled = AB + BC + CA

Distance Traveled = 550 + 483 + 659

Distance Traveled = 1692 miles

Answer:

$1.87

Step-by-step explanation:

Since the total cost was $18.70 and there are ten in the pack, to find the price of one notebook you just need to divide the total cost by the amount of notebooks there are. So 18.70 divided by 10 is $1.87 for each notebook.

Answer:

280mph

Step-by-step explanation:

168 divided by 3 = mph

Times 5 = Answer

Answer:

[tex]99\ inches[/tex]

Step-by-step explanation:

[tex]We\ are\ given\ that,\\Diameter\ of\ the\ Sun\ or\ the\ Semi-Circular\ Window=63\ inches\\Hence\ in\ order\ to\ find\ the\ length\ of\ the\ top\ part,\ we\ need\ to\\ find\ the\ semi-circumference\ of\ the\ window.\\Hence,\\As\ we\ know\ that,\ in\ any\ circular\ figure,\\Radius=\frac{Diameter}{2} \\Hence\ here,\\Radius\ of\ the\ Semi-Circular\ Window=\frac{63}{2}\\Hence,\\As\ the\ Circumference\ of\ a\ circle= 2\pi r[/tex][tex]Hence,\\Semi-Circumference= \frac{Circumference}{2}\\Hence,\\ Semi-Circumference=\frac{2\pi r}{2}\\Semi-Circumference=\pi r\\Hence\ taking\ r=\frac{63}{2}\ and\ \pi =\frac{22}{7} ,\\The\ Semi-Circumference\ of\ the\ Semi-Circular\ Window=\pi *\frac{63}{2} \\The\ Semi-Circumference\ of\ the\ Semi-Circular\ Window= \frac{22}{7}*\frac{63}{2}\\[/tex]

[tex]The\ Semi-Circumference\ of\ the\ Semi-Circular\ Window= 11*9=99\ in\\Hence,\\The\ length\ of\ the\ top\ part\ of\ the\ window= 99\ inches[/tex]

Answer:34)63

Step-by-step explanation:

Answer:

36 feet

Step-by-step explanation:

One yard is 3 feet.

12 yards * 3 feet = 36 feet

Answer:

36

Step-by-step explanation:

1 yard=3 feet so

12 yards = 3x12 feet

12 yards = 36 feet

Hope this helps! :)

Step-by-step explanation:

Given that,

No. of chocolate chip cookies = 86

No. of sugar cookies = 42

We need to find the number of identical packages that I can make.

It means we need to find the HCF of these 2 number.

Prime factorization of 86 and 42 as follows :

86 = 2 x 43

42 = 2 x 3 x 7

HCF = 2

Hence, I can make 2 identical packages.

Answer:

Assuming there can only be 2 cookies per identical package, She can make 42 identical packages which contains 2 chocolate chip cookies and 1 sugar cookie.

86 / 2 = 43 chocolate chips cookies

42 / 1 = 42 sugar cookies

With the sugar cookies not having the capability to match the requirements we will assume for this answer that an "Identical Package" is composed of 2 chocolate chip cookies, and a single sugar cookie.

Answer:

50

Step-by-step explanation:

Answer:

I believe it is 5 percent

Step-by-step explanation:

Hope it helps and is right.

Answer:

[tex]Perimeter = 34cm[/tex]

Step-by-step explanation:

Given

Represent the adjacent sides with A and B

[tex]A= 7cm[/tex]

[tex]B = 10cm[/tex]

Required

Determine the perimeter

The perimeter is calculated as follows;

[tex]Perimeter = 2 * (L + B)[/tex]

[tex]Perimeter = 2 * (7cm + 10cm)[/tex]

[tex]Perimeter = 2 * (17cm)[/tex]

[tex]Perimeter = 2 * 17cm[/tex]

[tex]Perimeter = 34cm[/tex]

Answer:

([tex]\frac{t}{3}[/tex])÷16=C