What is the area of this figure?
19 11
8 t
12 t
3 It
21 ft
3 ft
10 ft
4 it

20 different pizzas

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Explanation:

Consider 3 slots to fill. I'll label them slot A, B, C.

There are 6 choices for slot A, then 5 choices for B, and 4 for C. We count down by one each time since we cannot reuse a topping.

There would be 6*5*4 = 30*4 = 120 permutations if order mattered.

However, order doesn't matter with pizza toppings. So we must divide by 3*2*1 = 6 (this is the number of ways to arrange any group of 3 things)

We get 120/6 = 20 as the final answer

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Alternatively, you can use the nCr combination formula following these steps.

n C r = (n!)/(r!(n-r)!)

6 C 3 = (6!)/(3!*(6-3)!)

6 C 3 = (6!)/(3!*3!)

6 C 3 = (6*5*4*3!)/(3!*3!)

6 C 3 = (6*5*4)/(3!)

6 C 3 = (6*5*4)/(3*2*1)

6 C 3 = (120)/(6)

6 C 3 = 20 different pizzas possible

As the third to the last line shows, we have 6*5*4 up top and 3*2*1 down below. This matches exactly what was discussed in the previous section.

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Yet another alternative is to use Pascal's Triangle (see below) and we locate the row that has 1,6,... at the start. We circle the fourth item of this row that corresponds to 6C3 = 20

Step-by-step explanation:

total weight = 81 + 97+69+75+74+96+86+53 = 613kg

2 people will have to wait

Answer:

0.20 seconds

Step-by-step explanation:

Given the function:

For the distance traveled by a pendulum in time [tex]t[/tex]:

[tex]P(t)=-5cos(2\pi t)+5[/tex]

Where [tex]t[/tex] is in radians.

Also, given that [tex]P(t)=3.5\ cm[/tex]

To find:

The time [tex]t[/tex] = ? to the nearest hundredth.

Solution:

Putting the values as per given statements, it can be observed that:

[tex]3.5=-5cos(2\pi t)+5\\\Rightarrow -1.5=-5cos(2\pi t)\\\Rightarrow 0.3=cos(2\pi t)[/tex]

Taking the inverse:

[tex]cos^{-1}(0.3) = 2\pi t[/tex]

[tex]\Rightarrow 2\pi t=72.54^\circ[/tex]

We know that [tex]2\pi\ radians = 360^\circ[/tex]

Putting the value above:

[tex]\Rightarrow 360t=72.54^\circ\\\Rightarrow t = \dfrac{72.54}{360}\\\Rightarrow t =\bold{0.20}\ seconds[/tex]

So, after 0.20 seconds, the pendulum reaches 3.5 cm from the place it was released.

Answer:

The equation of a line that passes through the point (-5,7) and has a slope of -2/5 would be y = -2/5x + 5

Step-by-step explanation:

In the math term y = mx + b, "m" represents slope. So you can just substitute it for -2/5. "b" represents the y-intercept. 5 is the only number that works, so you just substitute "b" for 5.

Answer:

Aspect Ratio:13:5

Answer: 52 inches

Step-by-step explanation:

The aspect ration is the ratio between the sides which is 6.5:2.5 or 13:5.

Now we know the shorter side is 20 inches, and our aspect ratio basically means shorter side is 5x and longer side is 13x. well putting 5x=20, we get x=4. So the longer side, 13x, is 52 inches.

Answer:

198.3

Step-by-step explanation:

the tenth digit =198.25

the digit 5 behind the tenth digit is equal or above 5

therefore 1 is added to the tenth digit that is the digit 2

Answer:

x is = 25° by complimentary angles

Answer:

Each pretzel had cost $6.30

Step-by-step explanation:

You would have to subtract 22.00 - 15.70 and that would be your answer ($6.30)

Answer:

Each pretzel cost $2.10

Step-by-step explanation:

First,

Take your original amount and subtract it by your remanding amount:

22 - 15.70 = 6.30

Then, divide by three, since we bought three pretzels:

6.30 / 3 = 2.10       or       6.30 ÷ 3 = 2.10

So, each pretzel cost $2.10

Answer:

197 in^2

Step-by-step explanation:

See attached image

Answer:

1.  B

2. A

3. C

4. A

I hope this helps!

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Explanation:

For these type of problems, it helps to do a grid so you can line up the digits.

Check out the diagram below to see what I mean.

The 3 from "3x1" means we have 3 in the units digit

The first "1" from "1x0.1" means we have 1 in the tenths digit

The 4 in 4x0.001 means we have a 4 in the thousandths digit

There's a 0 in the hundredths digit as just a gap or placeholder so to speak. We can think of it as 0x0.01

Step-by-step explanation:

find distance of AC first

ac= √(y2-y1)²+(x2-x1)²

since there is no y we will consider it zero

so Ac= √(16-(-8))²

ac=24

ab is 1/3 of ac so it means

24*1/3=8

so ab is 8 units

The location of point B on the number line is 0.

Given that,
on the number line, point b is between points a and c. the distance between points a and b is 1/3 of ac.

A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.

Here,
AB = 1/3 AC
AB = 1/3 (16 - (-8))
AB = 1/3 (16 + 8)
AB = 1/3 * 24
AB = 24 / 3
AB = 8
B - A = 8
B - (-8) = 8
B + 8 = 8
B = 8 - 8
B = 0

Thus, location of the point B on the number line is at 0.

Learn more about number line here:

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Answer:

x = -2

Step-by-step explanation:

2x + 4 = 0

2x= -4

x=-2

Equation: [tex]2x+4=0[/tex]

Subtract 4 from both sides:

[tex]2x+4-4=0-4\\2x=-4[/tex]

Divide both sides by 2:

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

Simplify:

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

Therefore, your answer would be x = -2.

-TestedHyperr

Answer:

its the one on the bottom left.

it has the proper demision just look at the sides and they match up

Hope This Helps!!!

Answer: The net which can represent the solid figure given in image 1 is the net in image 4.

Step-by-step explanation:

Step-by-step explanation:

Hey there!

The points through which the line passed are; (-3,-7) and (12,3).

Note: Use double point formula.

[tex](y - y1) = \frac{y2 - y1}{x2 - x1} (x - x1)[/tex]

Keep all values.

[tex](y + 7) = \frac{3 + 7}{12 + 3} (x + 3)[/tex]

Simplify it.

[tex](y + 7) = \frac{10}{15} (x + 3)[/tex]

[tex](y + 7) = \frac{2}{3} (x + 3)[/tex]

[tex]y + 7 = \frac{2}{3} x + 3 \times \frac{2}{3} [/tex]

[tex]y = \frac{2}{3} x + 2 - 7[/tex]

[tex]y = \frac{2}{3} x - 5[/tex]

Therefore, the required equation is; y = 2/3x - 5.

Hope it helps...

Answer:

510 miles

Step-by-step explanation:

miles to drive on second day = total distance - miles driven on first day

                                                 = 955 - 445

                                                 = 510 miles

Answer:

510 miles!

Step-by-step explanation:

If Jackson already drove 445 miles on the first day, the remaining amount of miles is how much further he will have to drive to reach his destination.

[tex]955-445[/tex]

[tex]=510[/tex]

Jackson will need to drive 510 miles on the second day to reach his destination,

Answer:

$7.20 will be added

Step-by-step explanation:

Multiply 72 by 1.10

72 x 1.10=79.20

Subtract that by 72

79.20-72=7.20

Answer:

A. Product quality is not affected by size.

Step-by-step explanation:

This statement is true because the quality of a product is not a measure of its size, which is a quantifiable factor. This means that we can have a very small-sized product which has very good quality. Size also depends on the product being manufactured. Quality is rather measured by how good the materials used in the production are.

If inferior materials are used in the production, then the product, no matter how small or big they are, would lack quality. To obtain a good and accurate measurement, a lot of time and energy should be invested.

Answer:

48

Step-by-step explanation:

(2*6)4

(12)4

48

Hoped it helped :)

The correct expression is equal to the given expression is,

⇒ 2⁴ × 6⁴

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Expression is,

⇒ (2 × 6)⁴

Now, We can simplify as;

⇒ (2 × 6)⁴

⇒ 2⁴ × 6⁴

Thus, The correct expression is equal to the given expression is,

⇒ 2⁴ × 6⁴

Learn more about the multiplication visit:

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Answer:

The answer is B

Step-by-step explanation:

Answer:

4 months

300 off of 5th month

Step-by-step explanation:

$3500-800= 2,700

2,700-500=2,200

4 months or 500 x 4= 2,000

2,000 - 2, 200= 200

Answer:

7

Step-by-step explanation:

average = 19 + 9 +(-9)+6+10 / 5

=> 35/5 = 7

Answer:

No

Step-by-step explanation:

Since a is in absolute value symbols, you would be adding a positive number to 1, and therefore cannot have a number lower than 0.

For example, say a = -3. We would get 1 + |-3| = 4.

Answer:

No

Step-by-step explanation:

Because the vertical lines mean the absolute value of a.

-  a negative value of a like -2 in vertical lines  has absolute value 2.

If a = 0 then absolute value = 0.

So 1+|a|   will always be positive.

Answer:

y=-5x+25

That is the answe in slope intercept form

Answer:

A.       2

      ----------

     3x^3 y^5 z

B.         49k^8 m^6

         --------------------

                  81

C.          a^9 b^3

           ---------------

              27c^12

D.         -125y^9

          --------------

                 x^6

Step-by-step explanation:

A.

12x^2 y^-4                2

-----------------  =     -----------

18x^5 yz               3x³y^5z

B.

 (9k^2 m)^-2        -81k^-4 m^-2               49k^12 m^8           49k^8 m^6

---------------     =   ----------------------     =    ---------------------   =   --------------

(7k^6m^4)            -49k^-12 m^-8              81k^4 m^2                    81

C.

 ( 4a² b² )³                 64 a^9 b^6                   a^9 b^3

-------------------    =   -------------------------   =       -------------

( 12a^-1 bc^4 )³          1728 b^3 c^12                27c^12

D.

( -5x^-2 y³ )³   =   -125 x^-6 y^9   =       -125y^9

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

                                                                  x^6

I hope this helps!

Answer:

answer of this question is A

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[tex] \frac{2}{3} + \frac{4}{3} = \frac{6}{3} = 2 \\ [/tex]

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Answer:

Combined means to add so you are going to add anything over 1 because it says longer than 1

1 1/4  has 2 marks so you add 1 1/4 + 1 1/4 =

they have like denominators so you can add them together

1 + 1 = 2 and 1/4 + 1/4 = 2/4 which can be reduced to 1/2

so your answer is 2 1/2

Step-by-step explanation: