Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.
x+2
x+4

The area of a shape is the amount of space the shape occupies

The area of the shaded region in square cm is 48 square cm

The logo is a trapezoid with the following dimensions

The area of a trapezoid is:

Area = 0.5 * Height * (Sum of parallel sides)

Substitute known values

Area = 0.5 * 12 cm * (6cm + 2cm)

Evaluate

Area = 48 square cm

Hence, the area of the logo i.e. shaded region is 48 square cm

Read more about areas at:

https://brainly.com/question/24487155

Answer:

  a) inc: (-6, 2) ∪ (8, 11); dec: (2, 8)

  b) (2, 4) and (8, -2)

  c) min: (-8, -3); max: (2, 4)

  d) D: [-6, 11]; R: [-3, 4]

  e) -2

  f) {0, 4}

  g) up: (6, 10); down: (0, 6) ∪ (10, 11)

Step-by-step explanation:

The graph is increasing where the slope is positive. The graph is decreasing where the slope is negative. Points where the slope is zero are not part of the interval. End points of the domain are generally not included, either.

  increasing: (-6, 2) ∪ (8, 11)

  decreasing: (2, 8)

__

Critical points are points where the slope is zero (tangents are horizontal) or undefined (tangents are vertical).

  critical points: (2, 4) and (8, -2)

__

Minima and maxima are found either at turning points or the ends of the domain. Here, we have ...

  absolute minimum: (-8, -3)

  local minimum: (8, -2)

  local maximum: (11, 1)

  absolute maximum: (2, 4)

__

The domain is the horizontal extent of the graph. The range is the vertical extent.

  domain: [-6, 11]

  range: [-3, 4]

__

To find the function value for a given value of x, locate that value of x on the graph and see where the function crosses that vertical grid line. Here, the point is marked (8, -2).

  f(8) = -2

__

Points where f(x) = 3 will have y-coordinates of 3. They will be at the intersection of the horizontal line y=3 and the graph. Here, they are marked for you:

  f(0) = 3

  f(4) = 3

The values of x where f(x) = 3 are 0 and 4.

__

Concavity switches from up to down, or vice versa, at points of inflection. Here, the points of inflection are hard to determine. We will assume they are the points marked (6, 0) and (10, 0).

Where the graph has a ∩ shape (slope is decreasing), the concavity is down. Where the graph has a ∪ shape (slope is increasing), the concavity is up. The slope on the interval (-6, 0) is constant at +1, so is neither increasing nor decreasing. There is no concavity on that interval.

 concave down: (0, 6) ∪ (10, 11)

  concave up: (6, 10)

Answer:

10.6 oz

Step-by-step explanation:

To find the answer, we need to divide 2.65/0.25

This will give us how many ounces she bought

So our final answer is…

10.6 oz!

If this was helpful, please award brainliest I would REALLY appreciate it!

It can be deduced that the probability that an individual wins the jackpot will be 0.0000001.

From the information, the required four numbers will be:

= 54! / 4!(54 - 4)!

= 54! / 4!50!

= 316251

The required single number will be:

= 37! /1! (37 - 1)!

= 37

Therefore, the probability of winning the jackpot will be:

= 1 / (316251 × 37)

= 1/11701287

= 0.0000001

Learn more about probability on:

https://brainly.com/question/25870256

Answer:

m∠PBQ=51

Step-by-step explanation:

By vertical angles theorem, ∠PBQ ≅ ∠LBM, so m∠PBQ=m∠LBM.

And since ∠LBM & ∠LBQ are supplementary, we'll write,

m∠LBM+LBQ=180°

3x+(4x+61)=180°

Let's solve for x:

7x=119

7x/7=119/7

x=17

So...

m∠LBM=3(17)

m∠LBM=51

This means that m∠PBQ=51

Hope this helps! :)

Answer:

9

Step-by-step explanation:

If you want to get $15 profit, You will need to paint 9 faces. You spent $12 on painting supplies so this is the explanation.

$3 x 9 = $27

$-12 + $27 = $15

That way, you earn $15.

Answer:

257

Step-by-step explanation:

[tex]g\cdot{f}=4(2x+6)^2+1\\(g\cdot{f})(1)=4(2*1+6)^2+1=4\times64+1=257[/tex]

Answer:

q=8

Step-by-step explanation:

The ratio of sides from bigger to smaller is 1/2.

q=1/2(16)

q=8

Hope it helps!

Answer:

perimeter = 1 3/4

Step-by-step explanation:

1. 3/4 x 2 because there are two sides with the fraction 3/4. 3/4 x 2 is 1 1/2

2. 1/8 x 2 because there are two sides with the fraction 1/8. 1/8 x 2 is 1/4

3. 1 1/2 + 1/4 = 1 3/4

Answer:

9/8

Step-by-step explanation:

There are a few ways to look at this.

Starting with the easier way, we see that 9/8 is a fraction above one (this is when the numerator is greater than the denominator), while 6/10 is not, therefore 9/8 is the greater fraction.

Next, we can find the common denominator of the fractions. The least common multiple of 10 and 8 is 40. Now, we can multiply 6/10 by 4 (because 10 x 4 = 40) and 9/8 by 5 (because 8 x 5 = 40)

As a result, we get 24/40 and 45/40, and we can see that 45 is greater than 24.

The table which  represents a quadratic relationship is in option [tex]D[/tex].

A quadratic relationship is a mathematical relation between two variables that follows the form of a quadratic equation.

Quadratic sequence [tex]=an^2 +bn+c[/tex]

So, According to the definition mentioned above if table follows the  form of a quadratic equation then it is in quadratic relationship.

So,

To find out quadratic relationship,

We will find first difference in every table and then second difference (Second difference is the difference between the first difference).

We have,

Table A;

[tex]\left \begin{array}{ccccc}x& \ &f(x)&First\ Difference & Second\ Difference \\-2& &4&2-4=-2\\-1& &2&1-2=-1&-1+2=1\\0& \ &1&0.5-1=-0.5&-0.5+1=0.5\\1& &0.5&0.25-0.5=-0.25&-0.25+0.5=0.25\\2& &0.25&0.125-0.25=-0.125\\3& &0.125\end{array}\right[/tex]

So, In the above table we can see that second difference  is not equal that means it is not in quadratic relationship.

Now,

Let Table D;

[tex]\left \begin{array}{ccccc}x& \ &f(x)&First\ Difference & Second\ Difference \\-2& &-23.4&\\-1& &-23.2&-23.2+23.4=-0.2&0.2-0.2=0\\0& \ &-23&-23+23.2=-0.2&0.2-0.2=0\\1& &-22.8&-22.8+23=-0.2&0.2-0.2=0\\2& &-22.6&-22.6+22.8=-0.2\\3& &-22.4&-22.4+22.6=-0.2\end{array}\right[/tex]

So, here in this table, we can see that second difference  is equal that means it is in quadratic relationship.

Hence, we can say that the table which  represents a quadratic relationship is in option [tex]D[/tex].

To know more about quadratic relationship click here

https://brainly.com/question/17109031

#SPJ3

Answer:

Behold... your answers are...

A. 91

B. 39, 30%

Answer:

1, 3/2, 2, 5/2

Step-by-step explanation:

1/2 x 2 = 1

1/2 x 3 = 3/2

1/2 x 4 = 2

1/2 x 5 = 5/2

Answer:  2/4, 4/8, 8/16, 16/36

Step-by-step explanation:  hope i help and brainlies pls

Answer:

y = ln(2x)

Step-by-step explanation:

Neat document provided.

Answer:

Use the definition of a logarithm,

log b(x)= y ⟹  b^y = x, to convert from the logarithmic form to the exponential form. 10^5 = 4

Step-by-step explanation:

The exponential form of the given logarithmic equation is [tex](9x+7)=4^5[/tex].

Important information:

The given equation can be written as:

[tex]4^{\log_4(9x+7)}=4^5[/tex]

[tex](9x+7)=4^5[/tex]               [tex][\because a^{\log_ab}=b][/tex]

Therefore, the exponential form of the given logarithmic equation is [tex](9x+7)=4^5[/tex].

Find out more about 'Logarithmic equation' here:

https://brainly.com/question/9218283

Answer:

11:24am

Step-by-step explanation:

10:45 to the nearest hour is 11am

It takes 15mins to reach the hour. (39-15=24)

Add the remaining 24minutes to the hour and you have your answer.

11:24am

Answer:

0.85714285714

Answer:

6/7

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

Hope this helps! Have a great day!!

Answer:

Step-by-step explanation:

volume of the sphere=4/3 π (4)³=256 /3 π=256/3 ×3.14≈267.95 m³

Answer:

The answer is LSAGE

Step-by-step explanation:

Hope this helps lol

Answer:

SHINE

Step-by-step explanation:

remember : the slope (the factor of x in the equations) is the ratio "y coordinate change / x coordinate change".

and the constant at the end of the equations are the y-intercept (the y value for x = 0).

[tex] \sf( { - x)}^{6} [/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto \sf {x}^{6} [/tex]

(when ever power is positive - sign removes)

Why?

Cause : - × - = +

Answer:

Step-by-step explanation:

We have to simplify this equation.

Like this:

The closest number to x is 19:

Solve:

x = 19.

Answer:

y = 12x+3

Step-by-step explanation:

y = mx+c

m is the gradient/slope

c is the y intercept

so m is 12 and c is 3

Answer:

Mean: 26.88

Median: 27

Mode: 27

Step-by-step explanation:

19,20,20,21,21,21,22,22,23,23,23,25,25,25,25,25,27,27,27,27,27,27,27,27, 27,27,28,28,28,29,29,29,29,29,29,30,30,30,30,33,33,34,35,40

Mean: 26.88

Median: 27

Mode: 27

Sorry if there are any repeating numbers, this is quite long.

Hope this helps!

Answer:

−0.01≤

So we need to put the right number to make the sentence true.

In this case, we just need to put same or bigger number then -0.01.

So the correct answer can be: -0.01,1,2,3,260

Answer:

two bananas because he's a monkey

Step-by-step explanation:

Answer:

C/2001

Step-by-step explanation:

I did it and got it right

Hope this helps and have a good day :)

Answer:

Following ungrouped data of Sales of a company (in millions) is available

52 33 70 95 57 61

57 64 54 94 38 61

50 39 94 63 59 31

68 88 93 48 82 82

74 70 92 76 98 91

32 33 31 75 54 48

36 64 63 66 92 98

36 54 71 86 84 55

91 34 64 67 89 78

97 92 53 56 68 55

93 42 51 77 36 93

44 66 63 33 68 79

83 53 86 76 35 40

55 41 36 39 42 96

60 53 38 51 95 56

48 69 49 33 95 37

83 62 96 34 85 32

39 59 77 62 35 34

54 89 36 45 83 34

39 61 88 86 55 33

69 54 30 38 79 77

95 34 38 91 80 90

88 45 95 71 80 43

61 40 31 61 58 53

91 63 60 94 98 53

50 34 75 74 90 98

1. Make the frequency distribution table with appropiate class interval, frequency,

cumulative frequency.

1. Calculate the mean, median, mode and quartiles of grouped data.

2. Calculate the standard deviation, variance and range

3. Make the following diagrams: Histogram, Frequency Polygon, Olive