Find the area of the figure. Round to the nearest hundredth where necessary.
22 ft
30 ft

The total amount of time spent by the student as shown by the line plot is: D. 5 ¼ hours.

Each dot or x-mark represents a value. To find the total, add each of the data points given in the line plot.

Total amount of time is:

2(1/4) + 5(1/2) + 3(3/4)

= 1/2 + 5/2 + 9/4

= (2 + 10 + 9)/4

= 21/4

= 5 ¼ hours.

Total time spent by students is: D. 5 ¼ hours.

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Answer:

30 books

Step-by-step explanation:

36 / 1.2 = 30

You can pack 30 books and it will not exceed 36 Kg.

- - -

Side Note:

We don't know how heavy the suitcase is...

Answer:

6 pelicans

Step-by-step explanation:

Let x = number of pelicans

Cody saw 4 times as many seagulls as pelicans:

⇒ number of seagulls = 4x

Total of 30 birds:

⇒ seagulls + pelicans = 30

⇒ 4x + x = 30

⇒ 5x = 30

⇒ x = 6

Therefore, there were 6 pelicans (and 24 seagulls).

ATQ

Pellicans are 6

Answer: Irvin wrote the point at the wrong coordinate

Step-by-step explanation: Irvin wrote it at (3,4) instead of (4,3)

[should have gone right four, up three instead]

Answer:

The coordinates have been mixed up.

Step-by-step explanation:

The given coordinates were (4, 3) where 4 is the x-coordinate and 3 is the y-coordinate. Here, Irvin has taken the point (3, 4) where 3 is the x-coordinate and 4 is the y-coordinate. Hence, he mixed up the coordinates of the point.

Part A: The total length of the two sides, 1 and 2, of the triangle is 10x² + 14x - 8

Part B: The length of the third side of the triangle is 10x³ -2x²  - 16x + 2

From the given information,

The length of side 1 is

6x² - 4x - 2

and the length of side 2 is

18x + 4x² - 6

Part A

The total length of the two sides, 1 and 2, of the triangle will be

Length of side 1 + Length of side 2

That is,

6x² - 4x - 2 + 18x + 4x² - 6

This becomes,

6x² + 4x² + 18x - 4x - 2   - 6

10x² + 14x - 8  

Therefore, the total length of the two sides, 1 and 2, of the triangle is 10x² + 14x - 8

Part B

The length of the third side will be

Perimeter of the triangle - the total length of sides 1 and 2

From the given information,

The perimeter of the triangle is 10x³ + 8x² - 2x - 6

Then,

Length of third side = 10x³ + 8x² - 2x - 6 - (10x² + 14x - 8)

Length of third side = 10x³ + 8x² - 2x - 6 - 10x² - 14x + 8

Length of third side = 10x³ + 8x² - 10x²  - 2x - 14x - 6  + 8

Length of third side = 10x³ -2x²  - 16x + 2

Hence, the length of the third side of the triangle is 10x³ -2x²  - 16x + 2

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The probability of getting exactly two tail is 1/4.

Answer:

[tex]D.\:\:\:\:\:\sec^4\theta[/tex]

Step-by-step explanation:

Hope it helps you in your learning process.

Answer:

D

Step-by-step explanation:

using the identities

1 + tan²Θ = sec²Θ and cosΘ = [tex]\frac{1}{sec0}[/tex] , then

[tex]\frac{1+tan^20}{cos^20}[/tex]

= [tex]\frac{sec^20}{\frac{1}{sec^20} }[/tex]

= sec²Θ × sec²Θ

= [tex]sec^{4}[/tex]Θ

Answer:

[tex]\huge\boxed{\sf x > -1.25}[/tex]

Step-by-step explanation:

0.2 (x + 20) - 3 > -7 - 6.2x

Distribute

0.2x + 4 - 3 > -7 - 6.2x

0.2x + 1 > -7 - 6.2x

Add 6.2x to both sides

0.2x + 6.2x + 1 > -7

6.4x + 1 > -7

Subtract 1 to both sides

6.4x > -7 - 1

6.4x > -8

Divide 6.4 to both sides

x > -8/6.4

x > -1.25

[tex]\rule[225]{225}{2}[/tex]

Answer:

x > -1.25

Step-by-step explanation:

Using the distributive property: a(b + c) → ab + ac

1. Distribute '0.2'

0.2(x) + 0.2(20) - 3 > -7 - 6.2x

0.2x + 4 - 3 > -7 - 6.2x

0.2x + 1  > -7 - 6.2x

2. Add '6.2x' to both sides

0.2x + 6.2x + 1  > -7 - 6.2x + 6.2x

6.4x + 1 > -7

3. Subtract '1' from both sides

6.4x + 1 - 1 > -7 - 1

6.4x > -8

4. Divide both sides by '6.4' to isolate the variable

6.4x ÷ 6.4 > -8 ÷ 6.4

x > -1.25

Final answer: x > -1.25

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Answer:

C

Step-by-step explanation:

Evaluating the options :

a : 0.01

So, it comes down to :

(b) 0.51 or (c) 0.98

If we try and plot a line of best fit, we will obtain a line that passes through the origin and seems similar to y = x.

Hence, the best option is C

The result of expanding the trigonometry expression [tex]\sin^2(\theta) * (1 + \cos(\theta))[/tex] is [tex]cos^0(\theta) + \cos(\theta) - \cos^2(\theta) - \cos^3(\theta)[/tex]

The expression is given as:

[tex]\sin^2(\theta) * (1 + \cos(\theta))[/tex]

Express [tex]\sin^2(\theta)[/tex] as [tex]1 - \cos^2(\theta)[/tex].

So, we have:

[tex]\sin^2(\theta) * (1 + \cos(\theta)) = (1- \cos^2(\theta)) * (1 + \cos(\theta))[/tex]

Open the bracket

[tex]\sin^2(\theta) * (1 + \cos(\theta)) = 1 + \cos(\theta) - \cos^2(\theta) - \cos^3(\theta)[/tex]

Express 1 as cos°(Ф)

[tex]\sin^2(\theta) * (1 + \cos(\theta)) = cos^0(\theta) + \cos(\theta) - \cos^2(\theta) - \cos^3(\theta)[/tex]

Hence, the result of expanding the trigonometry expression [tex]\sin^2(\theta) * (1 + \cos(\theta))[/tex] is [tex]cos^0(\theta) + \cos(\theta) - \cos^2(\theta) - \cos^3(\theta)[/tex]

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1.  The percent of cats between 24.16 and 35.84 is 95%

2. The percent of cats who are longer than 35.84 is 2.28 %

3. The percent of cats shorter than 24.16 inches is 2.28%

The empirical rule - formula

95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

Mean, u = 30 inches

Standard Deviation, s = 2.92 inches

Formula for z-score = (x-u)/s

1. We have to find the percent of cats between 24.16 and 35.84 inches.

24.16, z-score = -2

35.84, z-score = 2

According to the empirical rule,

95% of the data values are within 2 standard deviations of the mean.

So, 95% of the cats are between 24.16 and 35.84 inches.

2. Here, x = 35.84

   z=(35.84-30)/2.92

   z= 2

According to the Empirical Rule,

95% of the values lie within 2 standard deviations of the mean.

So, the percent of cats who are longer than 35.84

100 - 97.72 = 2.28%

3. Now, x = 36.22

Using the formula mentioned above, we get:

z= 24.16-30/2.92

z=-2

According to empirical rule,

68% of the values lie within 1 standard deviation of the mean.

i.e., remaining 32% are outside the 1 standard deviation and  half of the values i.e. 16% are below 1 standard deviation.

The percent of cats shorter than 24.16 inches is 2.28%

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Given

Find z-scores for x = 24.16 and x = 35.84

Use formula

Find the corresponding percentage from z-score table

The percent of cats between 24.16 and 35.84

The percent of cats who are longer than 35.84

The percent of cats shorter than 24.16 inches

Combine like terms

Answer:

8x

Step-by-step explanation:

Given expression:

As we know, any negative integer being added by itself is 0. [-2y + 2y = 0]

Collect like terms and simplify;

Therefore, 8x is the simplified term.

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Answer:

[tex]\large\boxed{\sf x = \frac{8y+1}{7} }[/tex]

[tex]\large\boxed{\sf x = \frac{7x-1}{8} }[/tex]

Group the Variable's:

2 x - 5 + 7 y - 3 = 9 x - 1 - y -8

2x -9x + 7y +y = -1 -8 +5 + 3

-7x + 8y = -1

From this find x and y

For X

-7x + 8y = -1

-7x = -1 -8y

7x = 8y + 1

x = (8y +1)/7

For Y

-7x + 8y = -1

8y = -1 +7x

y = (7x -1)/8

Answer:

The area is 9 units^2

Step-by-step explanation:

Answer:

Top Image: 56°

Bottom Image: 134°

Step-by-step explanation:

I'm not sure which image you have a question on, so I'll just solve both.

Top Image:

 We know that the sum of the angles will add up to 180 and that the angles of the triangle are f, f, and 68°. Therefore, we can set up the following equation:

f + f + 68° = 180°

Solving this gets f = 56°

Bottom Image:

  We know that the sum of the angles will add up to 180 and that the angles of the triangle are 23°, 23°, and g. Therefore, we can set up the following equation:

 23° + 23° + g = 180°

Solving this gets g = 134°

Answer:

The scale of the drawing to become the statue is 7, and likewise for the statue to become the drawing it is 1/7.

Drawing * Scale = Statue

Take the first dimension:

9 * scale = 63

63/9 = scale

scale = 7

Answer:

7

Step-by-step explanation:

The scale factor is the ratio between the actual size and the model size.

Here, they are termed as "statue" and "drawing" respectively.

Finding scale factor :

Answer:

slope = 2 / 3

Step-by-step explanation:

slope = rise / run

rise = 2

run = 3

slope = 2 / 3

Answer:

B. Multiply the top equation by-3 and the bottom equation by 2.

Step-by-step explanation:

-3(4x-2y=7)

2(3x-3y=15)

-12x + 6y= -21

6x  - 6y = 30                  

6y and -6y both cancel each other out which gives us 0 when -3 is multiplied by the top and the bottom is multiplied by 2, which gives us the answer B.

Answer:1200

Step-by-step explanation:i might be wrong pls dont hurt me

Statement 8 (x = 10/5 or x = 2) is given by the division property of equality. Then the correct option is B.

Division means the separation of something into different parts, sharing of something among different people, places, etc.

Suppose that we're taking about

It means, we divide p into q equal parts.

And each part is of value p/q

Statement 7 is given below.

5x - 10 = 0

Then statement 8 is given by the division property of equality.

5x = 10

 x = 10/5

 x = 2

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The period of time does the stock price rise is 0 ≤ t ≤ 10/3.

It would sell in 3.34 days.

It is the process of finding the derivative, or rate of change, of a function.

The price of a certain computer stock after t days is

p(t) = 100 + 20t - 3t²

Now, take the derivative of the given function and equate it to zero to find the critical points,

p'(t) = 20 - 6t = 0

t = 20/6

t = 10/3 days

Thus, there are two intervals in which the given function is defined

(0, 10/3) and (10/3, ∞)

For the interval (0,10/3 ),

p'(1) = 20 - 6(1) =14

For the interval (10/3, ∞),

p'(2) = 20 - 6(2) = 8

Since p'(t) in the interval (0, 10/3) indicates that the function is increasing.

0 < t <10/3

Since at the point t = 3.34 days it would sell.

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Answer:

A lot

Step-by-step explanation:

So basically you learn a lot

Answer:

adding equal no. to both sides of the equation

Answer:

I think that the answer is -81

Step-by-step explanation:

We have 3x+4x-81-14 x is given as 2.So we'll have 3*2+4*2-81-14= -81 per my calculations. TRY THIS

Answer:

1887.97 (3853 * 0.49)

Step-by-step explanation:

3853 * 0.49

Answer:

76 unit^2

Step-by-step explanation:

Total area: (0.5  * base * height) +( length * breadth ) + (0.5 * base * height)

= (0.5 * 8 * 2) + ( 7*8) +( 0.5 * 8 * 3) = 8 + 56 + 12 = 76

Answer:

B. Rider used the wrong formula for the total volume.

Step-by-step explanation:

I did the quiz

Answer: B

Step-by-step explanation: I did the quiz, sis, trust me.