Cathy conducted an experimentin which she placed red, yellow, blue, and orange pieces of paper in a hat and drew them out without looking. The number of times Cathy drew each color is shown in the table above. What is the experimental probability that the next slip of paper Cathy draws will be orange?​

Answer:

3rd Matrix

Step-by-step explanation:

When you start putting the coefficients in as the matrix, you see that -9 has to be the 1st number, so that eliminates choice B and choice D as answers. You are left with choices A and C. C is the correct choice because when you plug in the second equation, your coefficient is -5, not 0.

Answer:

First Matrix

Step-by-step explanation:

Looking at the first equation, we see that the leading coefficient is -9. This gets rid of choice B and D because the first number in these matrices are not -9. You are left with choices A and C. Looking at the second equation, we see that there is no "w" variable, so we need to add one. The coefficient of this "w" is going to be 0. This means that A is the correct choice. Just to be sure though, evaluate all other coefficients to see if they line up with the matrix. Hope this helps.

Answer:

15000000ft-Ib

Step-by-step explanation:

We were told to Show how to approximate the required work by a Riemann sum which is a certain kind of approximation of an integral by a finite sum.

. So we will need to divide the cable into 6 segments,

✓let us denote x as the distance between the top of the mine shaft and the segment.

✓Let us denote ∆x as the length of the segment

Then work done on a segment, work done on the coal and total work done can now be calculated.

CHECK THE ATTACHMENT FOR THE DETAILED EXPLANATION

Suppose that the weight of a cable is [tex]6 \ \frac{lb}{ft}[/tex] and used to lift [tex]700\ lb[/tex] of coal up a mining shaft [tex]600\ ft[/tex] deep.

[tex]\to W_{ca} = \lim_{n\to \infty} \Sigma^{n}_{i=1} 6x_i^{*} \Delta x \\\\[/tex]

           [tex]=\int^{600}_{0} 6x \ dx\\\\= [6x^2]^{600}_{0} \\\\= 3 (360000)\\\\ = 1080000\ ft-lb\\\\[/tex]

Thus,  the work done again for cable is [tex]W_{ca} = 1080000 \ ft-lb[/tex].  

If the cable weighs 700 lbs and the distance is 600 feet, As a result, the effort expended in raising the coal to the top of the mineshaft is referred to as

[tex]\to W_{co} = 700 \times 600 = 420,000 \ ft-lb[/tex]

As a result, the total amount of work completed is as follows:

[tex]\to W =W_{ca}+W_{co} \\\\[/tex]

         [tex]= 1080000+ 420000 \\\\= 1500000 \ ft-lb \\\\[/tex]

Hence, the total work done is [tex]\bold{W = 1500000\ ft- lb}[/tex].

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Answer:

Point A'(-1,5)     ........ corrected A' instead of A

Point B'(3,-3)

Step-by-step explanation:

The current function has vertex (2,-4), and passes through (6,0).

Using the standard formula

y = a(x-h)^2+k

we have

h = 2, k=-4

parabola passes through (6,0) =>

0 = a(6-2)^2 -4 = 16a -4

a = 1/4

so equation of given curve is

f(x) = (1/4)(x-2)^2-4

If the curve is compressed horizontally by a factor of 2, then the image is

g(x) = (1/4)(2(x-2))^2-4

=(x-2)^2 -4

Given A(-4,5), B(4,-3)

f(-4) = 5  

f(4) = -4

With a compression factor of 2, coordinates of y do not change.

for point A'

5 = (x-2)^2 -4

5 = (x-2)^2 -4

(x-2)^2 = 9

(x-2) = +/- 3

x-2 = -3, x = -1  (to the left of vertex, ok)

x-2 = +3, x = 5 (to the right of vertex, alternate point x)

Point A'(-1,5)     ........ corrected A' instead of A

For point B'

y = -3

-3 = (x-2)^2-4

(x-2)^2 =1

x-2 = +/- 1

x-2 = +1, x=3 (to the right of vertex, point required)

x-2 = -1, x= 1 (to the left of vertex, alternate point Y)

Point B'(3,-3)

Answer: Density = 1,282.26 kg/m^3

Step-by-step explanation:

Density =  80 lb/ft^3

We know that:

1lb = 0.4536 kg.

1ft^3 = 0.0283 m^3

then we can write:

1 = (0.4536kg)/(0.0283 m^3)*(1ft^3/lb)

we can multiply our equation by this, and it wont be affected, then we have:

Density = 80 lb/ft^3 = 80 lb/ft^3 (0.4536kg)/(0.0283 m^3)*(1ft^3/lb)

Density = 1,282.26 kg/m^3

Step-by-step explanation:

It's your 6/5 an exponent?

Answer:

10% interest.

Step-by-step explanation:

Interest I = PRT/100

If the rate R = x% we have

550 = P*x *1 / 100

and

770 = P*(x + 4) * 1 / 100

so From  first equation

Px = 55000  and from the second

Px + 4P =  77000

So Px = 77000 - 4P

Therefore  77000 - 4P = 55000

4P = 22000

P = 5,500

So x = 55000/5500 = 10%.

And  the rate for the other fund is 10 + 4 = 14%.

Answer: (-3, -2)

Step-by-step explanation:

Plug in -2 for y to find x

x - 5(-2) = 7

Multiply -5 and -2

x + 10 = 7

Subtract 10 from both sides

x = -3

The first ordered pair is (-3, -2)

Answer:

x + 5y = -8

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Step 1: Find b

y = -1/5x + b

0 = -1/5(-8) + b

0 = 8/5 + b

b = -8/5

Step 2: Rewrite equation

y = -1/5x - 8/5

Step 3: Isolate x and y

1/5x + y = -8/5

Step 4: Multiply everything by 5

x + 5y = -8

Answer:

Amount of money David received = £ 175

Step-by-step explanation:

Both of them share their profit in a ratio of 5:7 . Tina got £70 more than David. Let

the amount David received = a

amount Tina received = 70 + a

the total profit = 70 + 2a

Amount David received = 5/12 × 70 + 2a = a

Therefore,

5/12 × 70 + 2a = a

350 + 10a/12 = a

cross multiply

350 + 10a = 12a

collect like terms

350 = 12a - 10a

350 = 2a

divide both sides by 2

a  = 350/2

a = 175

Amount of money David received = £ 175

Answer:

many different 5-card hands are possible if the drawing is done without replacement in 2598960 ways

Step by step Explanation:

This problem is on combination, which is a selection of items from a particular collection, but here the order of selection does not matter.

CHECK THE ATTACHMENT FOR DETAILED EXPLANATION

Answer:

  x = 4√5

Step-by-step explanation:

The triangles are all similar, so corresponding lengths are proportional.

  hypotenuse/short side = x/5 = (11+5)/x

  x^2 = 80 . . . . cross multiply

  x = 4√5 ≈ 8.94427

Answer:

solution,

X=6

[tex]5x \\ = 5 \times x \\ = 5 \times 6 \\ = 30[/tex]

Hope this helps...

Good luck on your assignment

Answer:

Step-by-step explanation:

x = 6

5x = 5 *6 = 30

Answer:

-72

Step-by-step explanation:

3*24=72

So he is 72 foot below see level or -72

Martin descended to a depth of 72 feet below sea level.

Ricardo descended to a depth of 24 feet below sea level. His friend Martin descended 3 times as far.

If Ricardo descended to a depth of 24 feet below sea level, and Martin descended three times as far, we can calculate Martin's descent by multiplying Ricardo's depth by 3.

Martin's depth = Ricardo's depth * 3

Martin's depth = 24 feet * 3

Martin's depth = 72 feet

Therefore, Martin descended to a depth of 72 feet below sea level.

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Answer:

[tex]3.2*10^2=320[/tex] mph

Step-by-step explanation:

hello,

it travels [tex]8.0*10^2[/tex] miles in 2.5 hours

So in 1 hours it travels

[tex]\dfrac{8.0*10^2}{2.5}=3.2*10^2[/tex]

miles

hope this helps

Answer:

t = d/s

t = 6.4 / 2 miles

t = 3.2 miles

Step-by-step explanation:

follow me plzzz

Answer:

  the equations are dependent; both describe the line y = 2x -6

Step-by-step explanation:

Remove the common factor of 5 from the first equation and you have ...

  2x -6 = y

Subtract 6 from the second equation and you have ...

  2x -6 = y

The two equations are the same, so describe the same line. The solution set is all points on that line. The equations are dependent, and have an infinite number of solutions.

Answer:

3x

Step-by-step explanation:

If Dan is x years old and Olly is 3 times as old, that means that Olly's age is 3 * x or 3x for short.

Answer:

3x

Step-by-step explanation:

If Dan is x years old and Olly is 3 times old as Dan, then the expression is 3x.

Answer:

a) 6t

b) 6q

c) 8a

d) 2r + 22y

Step-by-step explanation:

a) 6t = 2t +4t

b) 6q = 7q + q-2q

c) 8a = 6-6+8a

d) 2r + 22y = 12r + 10y - 10r +12y

good luck!!

Answer: Option A.

Step-by-step explanation:

Suppose you have a rectangle in the plane X-Y, such that one of the vertices of the rectangle is on the point (0,0) and the rectangle has sides parallel to both x-axis and y-axis.

Now, you rotate it around the y-axis. The created figure will be a cylinder with a radius and height depending on the measures of the original rectangle.

Now, if you cut it horizontally (this means that you have a cut parallel to the x-z plane) is equivalent to have a view of the cylinder from the top (as if you where on the positive y-axis), and this figure will be a circle, so the correct option is A:

Answer:

2x + 5y + 15

Step-by-step explanation:

Step 1: Combine like terms

2x + 2y + 3(y + 5)

Step 2: Distribute

2x + 2y + 3y + 15

Step 3: Combine like terms

2x + 5y + 15

Answer: 2x + 5y + 15

Step-by-step explanation:

Which expression is equivalent to x + y + x + y + 3(y + 5)?

Answer:

[tex]z-y+1=0[/tex]

Step-by-step explanation:

We are given that  equation of surface

[tex]z=ln(x^4+y)[/tex]

Point (0,1,0)

[tex]z_x=\frac{1}{x^4+y}(4x^3)[/tex]

[tex]z_x(0,1,0)=0[/tex]

[tex]z_y=\frac{1}{x^4+y}(1)[/tex]

[tex]z_y(0,1,0)=1[/tex]

Now, the equation of tangent plane to the given surface at point (0,1,0) is given by

[tex]z-z_0=z_x(x-x_0)+z_y(y-y_0)[/tex]

Using the formula

[tex]z-0=0+1(y-1)=y-1[/tex]

[tex]z=y-1[/tex]

[tex]z-y+1=0[/tex]

Answer:

2x+4

Step-by-step explanation:

let the no of radishes be x

therfore, no of turnips    = 2x+4

Answer:

40 degrees

Step-by-step explanation:

We know the entire angle of ABD is 70 and CBD and ABC are in it.

Since we know one of them (CBD) is 30, we can subtract 30 from 70 to find ABC. This is because the angle of ABC and CBD equal ABD.

30 + x = 70

-30 from both sides

x = 40

X = 30 degrees.

See the attached image

Answer:

11 m and 14 m

Step-by-step explanation:

Legs: x and y

---

1/2xy= 77  ⇒ xy= 154

√x²+y²= √317 ⇒ x²+y²=317

x²+y²+2xy= (x+y)²= 2*154+317= 625 ⇒ x+y= √625= 25

x= 25-y

xy=154 ⇒  y(25-y)= 154 ⇒ 25y- y²=154 ⇒ y²- 25y +154=0 ⇒ y=11 and y=14

x= 25-y= 14 and 11

Step-by-step explanation:

It is not specified the compounding period, which in general is a month these days.  So we will assume money is compounded each month, otherwise there is no point depositing monthly.

1. Yolanda:

APR=5% is equivalent to

Monthly interest = 5%/12 = 5/12% = 5/1200 = 1/240 = i

Monthly deposit = 100 = A

Future value after 14 years = 14*12 months = 168 months = n

FV1 =  A((1+i)^n-1)/i

=100*((1+1/240)^168-1)/(1/240)

= $24259.83

2. Zach

He deposits 1200 at the end of the year.  The last payment does not benefit from interest.

Since it is a yearly payment, each amount earns interest over a year, giving an annual interest of

(1+i)^12 -1 = 1.051161897881733 -1 =0.051161897881733 = j

Thus for 13 annual payments with annual interest j gives a compounded amount after 14 years, plus the last payment which does not earn interest

FV2 = A((1+j)^n-1)/j

= 1200((1.051161897881733)^13-1)/(0.051161897881733)+1200

= 22613.34

Summary

Total investments:

Yolanda = 12*100*14 = 16800

Zach = 1200 * 14 = 16800

So both investors have invested $16800 over the 14 year period.

Since Yolanda achieves a higher future value after 14 years ($24259.83) over that of Zach ($22613.34), financially Yolanda has a better strategy.

Note:

If zach had invested annually at the beginning of the year, he would have obtained:

A((1+j)^n-1)/j

= 1200((1.051161897881733)^14-1)/(0.051161897881733)

= 24908.88

which is superior over Yolanda's return.

Answer: D: (2, 0)

Step-by-step explanation:right on Edge 2020

Answer:

yes its d

Step-by-step explanation:

did on edge

Answer:

B

Step-by-step explanation:

To find a perpindicular line, you want to find the reciprical slope, and have a point.

We already have the point which is (3,9)

All we have to do is find the new slope what is easy, get the orginal slope,

flip the sides and polarity of it. So from the slope -3/2, you get 2/3.

Now you just plug all the new values into slope point formula.

y - y1 = m(x - x1).

You do simple algebra and get B as your answer

Answer:

anything that is not -2+3x or x=2/3 is wrong

Step-by-step explanation:

Answer:

Pentagon

Step-by-step explanation:

the head is the closest I see