add the numbers 197,203 and 423 in two ways ​fast

The side AE and side CD are parallel to each other because they will never intersect to each other.

A polygon is a two-dimensional geometric figure having a finite number of sides. Straight-line segments are linked end to end to make a closed shape on the sides or edges of a polygon. The vertices or corners are the spots where two line segments intersect, resulting in an angle.

As we know, the parallel lines never intersect to each other, they go infinitely without crossing each other.

As we can see in the figure (refer to the attached picture)

Line AE and CD are parallel to each.

Thus, the side AE and side CD are parallel to each other because they will never intersect to each other.

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The function f(x) = mx + b is a linear function, and the values of m and b are -1/3 and 7/3, respectively

The function is given as:

f(x) = mx + b

The solutions are (1,2) and (-20,9)

The above points mean that:

1 * m + b = 2

-20 * m + b = 9

This gives

m + b = 2

-20m + b = 9

Subtract both equations

m + 20m = 2 - 9

Evaluate the difference and sum

21m = -7

Divide both sides by 21

m = -1/3

Substitute m = -1/3 in m + b = 2

-1/3 + b = 2

Add 1/3 to both sides

b = 2 + 1/3

Evaluate

b = 7/3

Hence, the values of m and b are -1/3 and 7/3, respectively

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Answer:

B, C, E

Step-by-step explanation:

A: False

B: True

C: True

D: False

E: True

Answer:

48 m^3

Step-by-step explanation:

along the length = 8 cubes = 8 m

breadth = 3 cubes = 3 m

height = 2 cubes = 2 m

volume = 48 m^3

Answer:

a)2975

b)3450

Step-by-step explanation:

Answer:

The two cones are aligned on edge to edge so that the total volume of the hourglass becomes 2∗13πr2h

Step-by-step explanation:

a) When the sand has y units left in the upper cone the height of the cone becomes y, the radius remains 1cm.Now let's take the right triangle In the upper coneAnd by similar triangles property we found that the radius of the cone in which the amount of sand is left is y3 unitsNow the volume of the sand in the remaining part of the upper cone isπy32y which gives πy327Now if we apply the same similar triangle property with the cone in the below we find that the radius of the part it has filled up remains the same as y3unitsSo the volume it has filled is (3-y) from the top cone which says that the volume filled on the bottom cone has a height of (3-y)So therefore the volume of the frustum which it has filled up isπ3h(R2+r2+rR) {Is the volume of the frustum with two radii r and R with a height h}i.eπ3(3−y)(12+(y/3)2+(y/3))So now the total volume of the hourglass in terms of y is π3(3−y)(12+(y/3)2+(y/3))+πy327b) The next question tells us that when the height of the sand in the below cone reaches up a height of h centimetreswhich is exactly 3-y in the previous questionso substituting y = h-3 in the previous question we'll find the volume of the hourglass in terms of hπ(h−3)327+π3(6−h)(12+((h−3)/3)2+((h−3)/3)) .c) Total volume of the hourglass isV=V1+V2⇒3π4=πy327+π−π27(3−h)3Putting h=1We have the value of y as⇒3π4=π27y3+π+π278..............(1)⇒y=(54)13Differentiating the first equation with respect to t we have0=π9y2dydt+π9(3−h)2dhdtPutting values that dydt=−0.14inches/sec at h =1 and for ⇒y=(54)13We have0=π9(54)132∗(−0.14)+π922dhdt⇒0.1956π9=4π9dhdt⇒dhdt=0.19564⇒dhdt=0.0489

Answer:

{y| y is a real number}

Step-by-step explanation:

The range is all the y's that an equation can produce or all the y's on a graph of the function.

This graph has every and any real y (because it keeps going forever, even off the screen or paper) It's a little hard to see, bc we just see it going left and right mostly, but it is also slightly going up (to the left) and down (to the right)

Answer: 24

Step-by-step explanation:

¼ of Andy's sweets = 5 + 1 with Dan

¼ of Andy's sweet is 6

Andy has 6×4 sweet

The height of cone A is 12 and the volume of cone B is 750

The given parameters are:

Both cones are similar.

The similarity ratio is represented as:

[tex](\frac{V_A}{V_B})^\frac 13 = (\frac{A_A}{A_B})^\frac 12 = \frac{h_A}{h_B}[/tex]

Where:

Remove the height expression in the equation [tex](\frac{V_A}{V_B})^\frac 13 = (\frac{A_A}{A_B})^\frac 12 = \frac{h_A}{h_B}[/tex]

So, we have:

[tex](\frac{V_A}{V_B})^\frac 13 = (\frac{A_A}{A_B})^\frac 12[/tex]

This gives

[tex](\frac{162}{V_B})^\frac 13 = (\frac{36}{100})^\frac 12[/tex]

Evaluate the exponent of 1/2

[tex](\frac{162}{V_B})^\frac 13 = \frac{6}{10}[/tex]

Take the cube of both sides

[tex]\frac{162}{V_B} = \frac{216}{1000}[/tex]

Make VB the subject

[tex]V_B = \frac{162 * 1000}{216}[/tex]

Evaluate

[tex]V_B = 750[/tex]

Remove the area expression in the equation [tex](\frac{V_A}{V_B})^\frac 13 = (\frac{A_A}{A_B})^\frac 12 = \frac{h_A}{h_B}[/tex]

[tex](\frac{V_A}{V_B})^\frac 13 = \frac{h_A}{h_B}[/tex]

Substitute known values

[tex](\frac{162}{750})^\frac 13 = \frac{h_A}{20}[/tex]

Multiply both sides by 20

[tex]h_A = 20 *(\frac{162}{750})^\frac 13[/tex]

Evaluate

[tex]h_A= 12[/tex]

Hence, the height of cone A is 12 and the volume of cone B is 750

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answer: 27

Step-by-step explanation:

there are 3 1/3s in a cup so basically you are taking 3x9 (or 3+3+3+3+3+3+3+3+3) which equals 27

Answer:

153 in^2

Step-by-step explanation:

To find the area of a rectangle, we can multiply the length and the width. The rectangle CDEF has length CF and width FE. We already know FE is the same as GH which is 9in. CF is the hypotenuse of right triangle FGC. Th legs are FG which is the same as EH, 8 and GC, which is the same as AE, 15. Using the pythagorean theorem, we can say that:

GC^2 + GF^2 = CF^2

64 + 225 = CF^2

CF^2 = 289

CF = 17

To find the rectangle's area, we multiply FE and CF to get 153 in^2

Answer:

A. x-intercepts: prices at with profit is zero

    maximum: price at which profit is a maximum

    increasing: (-∞, 3); decreasing: (3, ∞) — profit increases with increasing pen price below $3, decreases with increasing pen price above $3

 B. -26 2/3; loss of profit for each dollar increase in pen price

Step-by-step explanation:

Part A:

The definition of the function tells you what points on the graph represent. The x-intercept at x=0 tells you the company's profit will be zero when the price of pens sold by the company is zero.

The x-intercept at x=6 tells you the company's profit will be zero when the price of pens sold is $6.

The maximum value of 120 at x=3 tells you the company's profit will be $120 when the price of pens sold is $3.

The graph goes "uphill" for x < 3, so the function is increasing for x < 3. The function goes "downhill", so is decreasing, for x > 3. This tells you profit increases with pen price when the price is below $3, and decreases with pen price above $3.

__

Part B:

The equation of the function describing the graph is ...

 f(x) = -120/9x(x -6)

so, at x=5, the value is ...

 f(5) = -120/9(5)(-1) = 600/9 = 66 2/3

Then the average rate of change from x=3 to x=5 is ...

 m = (f(5) -f(3))/(5 -3) = (66 2/3 -120)/2 = (-53 1/3)/2 = -26 2/3

This represents the average change in profit for each dollar increase in the price at which pens are sold.

Answer:

2

Step-by-step explanation:

We dont know how many spinner slots there are so I assume 8.

to get greater than 4 you need the cube which has 6 sides. Only 5 and 6 are > 4. So 2.

Sorry if this is incorrect...

Answer:

fraction form: [tex]\frac{16}{5}[/tex]

decimal form: 3.2

Step-by-step explanation:

The slope is given already so I'm assuming you need the y-intercept using that point

Jim's time is 5:50 and John's time is 6:40.

The probability that both marbles chosen from the bag will be yellow is 3/14.

Probability determines the odds that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability that both marbles chosen from the bag will be yellow = (number of yellow marbles / total number of marbles) x (number of yellow marbles - 1/ total number of marbles - 1)

4/8 x 3/7 = 3/14

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Answer:

12

Step-by-step explanation:

If you multiply .15 times 80, you get 12. therefore the tip was 12 dollars

Answer:

≥ means equal or bigger.

So 5x should be equal or bigger than 45.

Which means x can be 9 or 10/11/12...

Answer:

sin²x

Step-by-step explanation:

[tex]\frac{\tan \left(x\right)}{\tan \left(x\right)+\cot \left(x\right)}[/tex]

[tex]=\frac{\sin ^2\left(x\right)}{\cos ^2\left(x\right)+\sin ^2\left(x\right)}[/tex]

Rewrite using trigonometric identities

[tex]=\sin ^2\left(x\right)[/tex]

The equation that represents this situation (x + 20)b = 350, (x - 20)c = 350 and b + c = 6

An equation is an expression that shows the relationship between two or more number and variables.

Let x represent the speed of the airplane, in miles per hour, when there is no wind, b represent the time spent going and c represent the time spent travelling back. Hence:

(x + 20)b = 350     (1)

Also:

(x - 20)c = 350    (2)

b + c = 6     (3)

The equation that represents this situation (x + 20)b = 350, (x - 20)c = 350 and b + c = 6

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Answer:

The answer is below!

Step-by-step explanation:

Answer:

0.8g/cm³

Step-by-step explanation:

1.2g/cm³*150cm³=180g

180g+x=220g

x=40g

220/1.1=200

150cm³+y=200cm³

y=50cm³

40g/50cm³=0.8g/cm³

Answer:

b = 11

Step-by-step explanation:

the standard form of a quadratic equation is ax² + bx + c = 0 ( a ≠ 0 )

given

x² + 28 = - 11x ( add 11x to both sides )

x² + 11x + 28 = 0 ← in standard form

with b = 11

Answer:

A≈316.99

Step-by-step explanation:

Use formula A=πrl+πr² and l=√r²+h²

Plug in  . .

A≈316.99

Answer:

15/26

Step-by-step explanation:

3-yellow+10-green+2-blue=15

4-red+7-purple=11

11+15=26

Answer:

The angles are 24.6° and 155.4°

Step-by-step explanation:

Supplementary angles add up to 180°

Let the measure of the supplementary angle = x

So, the angle is 130.8 more than 'x'

     The angle = x + 130.8

The angles are supplementary.

x + (x + 130.8) = 180

x + x + 130.8 = 180

  2x + 130.8  = 180

                2x = 180 - 130.8

                 2x = 49.2

                   x = 49.2/2

                   x = 24.6

x + 130.8 = 24.6 + 130.8

                =  155.4

The angles are 24.6° and 155.4°

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[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

An angle measures 130.8º more than its supplementary angle. What is the measure of each angle?

[tex]\blue{\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]

Supplementary angles add up to 180º.

In order to find the unknown angles, we should first let the angle be x.

Set up an equation:-

(remember, there are 2 angles, x and x+130.8):-

x+x+130.8=180

Add the x's:-

2x+130.8=180

Subtract 130.8 from both sides:-

2x=49.2

Divide by 2 on both sides:-

x=24.6º

To find the other angle, add 130.8º:-

24.6+130.8=155.4º

Second angle=155.4º

Now, we need to make sure our solution is correct.

We can easily check it by adding both angles together and seeing whether or not we end up with 180:-

155.4+24.6=180

180=180

Since the left-hand side equals the right-hand side, our solution is indeed correct.

The angles are 24.6º and 155.4º

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