A square has side length (2x+3)in. What is the area of the square

Answer:

16.67

Step-by-step explanation:

formula for a rectangular pyramid =

lengthxwidth= base area x height/3

2x5=10x5=50

50/3=16.67

Answer:

55

Step-by-step explanation:

11 x 5 = total combinations

11 x 5 = 55

Answer:

The probability of rolling an odd number or a two on a six-sided die is 1/2 + 1/6 = 2/3. This means that if you roll a six-sided die 300 times, you can expect to roll an odd number or a two approximately 200 times

Step-by-step explanation:

Answer: 400 TIMES

Step-by-step explanation:

1/6 +1/2

4/6

2/3

Answer:

8 x 4(7x) x^9

Step-by-step explanation

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Three structures that support digestion in the small intestine are the liver, pancreas, and gallbladder.

The liver plays a crucial role in digestion by producing bile, which is stored in the gallbladder and released into the small intestine. Bile helps in the breakdown and absorption of fats. The pancreas also plays a vital role in digestion. It produces digestive enzymes, including amylase, lipase, and proteases, which are released into the small intestine. These enzymes help break down carbohydrates, fats, and proteins, respectively.

The gallbladder stores and concentrates bile produced by the liver. When needed, it releases bile into the small intestine to aid in the digestion and absorption of fats.

The thyroid and saliva glands do not directly support digestion in the small intestine and have different functions in the body. The thyroid regulates metabolism, while saliva glands produce saliva, which aids in the initial breakdown of food in the mouth.

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the vertical asymptοtes οf the functiοn are given by: x = 3 and x = -3.

Asymptοtes are lines that a curve apprοaches but dοes nοt intersect as it extends infinitely in οne οr mοre directiοns. They can be vertical, hοrizοntal, οr οblique.

Vertical asymptοtes οccur when the denοminatοr οf a ratiοnal functiοn is equal tο zerο and the numeratοr is nοt equal tο zerο. This creates a pοint οf discοntinuity in the functiοn, where the functiοn apprοaches infinity οr negative infinity as it apprοaches the vertical line.

The functiοn y = 5tan(0.1x) has vertical asymptοtes whenever the tangent functiοn is undefined, which οccurs at οdd multiples οf π/2.

the vertical asymptοtes οf y = 5tan(0.1x) are given by:

x = (2n+1)π/2*10, where n is an integer.

Fοr Explοratiοn 4.3.3, Questiοn 2, the given functiοn is:

\(y = (x^2 - 5x + 6)/(x^2 - 9)\)

Tο find the vertical asymptοtes οf this functiοn, we need tο determine where the denοminatοr becοmes zerο. This οccurs at x = 3 and x = -3.

Therefοre, the vertical asymptοtes οf the functiοn are given by: x = 3 and x = -3.

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The true statement about hypothesis testing is that option "c. If the test statistic is more extreme than the p-value, then we reject the null hypothesis."

In hypothesis testing, we evaluate whether there is enough evidence to support rejecting the null hypothesis in favor of the alternative hypothesis. The test statistic measures the strength of the evidence against the null hypothesis. The p-value, on the other hand, represents the probability of obtaining a test statistic as extreme or more extreme than the one observed, assuming the null hypothesis is true.

If the test statistic is more extreme than the p-value, it means that the evidence against the null hypothesis is strong. In such cases, we reject the null hypothesis because the observed data is unlikely to occur under the assumption that the null hypothesis is true. This leads us to accept the alternative hypothesis instead.

It is important to note that hypothesis testing does not prove or disprove the truth of the null hypothesis or alternative hypothesis definitively. Instead, it provides statistical evidence to support one hypothesis over the other based on the observed data and the chosen significance level (alpha). The significance level (alpha) determines the threshold at which we consider the evidence strong enough to reject the null hypothesis.

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Based on the information, we can determine convergence or divergence of series.The given options do not provide a clear representation of potential outcomes.It is not possible to select correct option.

The given series is "nvž enn |||-) En=12 100 1-) Σπίο 3* 2"-1 ||-) En=2 n". In the series, we have the characters "nvž enn |||-)" which indicate the series notation. The characters "En=12 100 1-" suggest that there is a summation of terms starting from n = 12, with 100 as the first term and a common difference of 1. The characters "Σπίο 3* 2"-1 ||-) En=2 n" indicate another summation, starting from n = 2, with a pattern involving the operation of multiplying the previous term by 3 and subtracting 1.

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An equation in standard form for a hyperbola with center (0, 0), vertex (0, 17), and focus (0, 19) is:

\(\boxed{\dfrac{\sf y^2}{\sf 172} - \dfrac{\sf x^2}{(\sf 6\sqrt{2} )^\sf 2} = \sf 1}}\)

We are given that the hyperbola has:

The general form of equation of the given hyperbola has a form of:

\(\sf \dfrac{y^2}{a^2} - \dfrac{x^2}{b^2} = 1\)

Where:

±a is the y - coordinates of the vertices of the parabola (or y-intercepts).

b determines the asymptotes of the hyperbola in the equation y = ± (a / b)x.

From the vertex coordinates of (0.17), we have that; a = ± 17.

From the focus coordinates (0, 19), the y-coordinate of it is; c = 19.

b can be found from Pythagorean theorem:

\(\sf c^2 = a^2 + b^2\)

Thus:

\(\sf 192 = 172 + b^2\)

\(\sf b^2 = 192 - 172\)

\(\sf b^2 = 361 - 289\)

\(\sf b = \sqrt{72} =6\sqrt{2}\)

The equation of the hyperbola is:

\({\dfrac{\sf y^2}{\sf 172} - \dfrac{\sf x^2}{(\sf 6\sqrt{2} )^\sf 2} = \sf 1}}\)

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An ordered pair that is not marked on the coordinate plane of this graph is (8, 0).

In Mathematics, a graph can be defined as a type of chart that is typically used for the graphical representation of ordered pairs on both the horizontal and vertical lines of a cartesian coordinate, which represent the x-coordinate (x-axis) and y-coordinate (y-axis) respectively.

An ordered pair can be defined as a pair of two (2) data points that are commonly written in a fixed order within parentheses as (x, y), in order to represent the x-coordinate or x-axis (abscissa) and the y-coordinate or y-axis (ordinate) on the coordinate plane of any graph.

By critically observing the given graph, we can reasonably and logically deduce that data point (8, 0) is the missing ordered pair on the coordinate plane.

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Answer:   1/2 |x| = -3?

Step-by-step explanation:

The perimeter of the rectangle, when the area is maximized, is approximately 24.63 units. Therefore, correct option is a.

To maximize the area of the rectangle inscribed in the parabola \(y^2 = 16x\), we need to find the dimensions of the rectangle. Since the side of the rectangle is along the latus rectum of the parabola, we know that the length of the rectangle is equal to the latus rectum.

The latus rectum of the parabola \(y^2 = 16x\) is given by the formula 4a, where "a" is the distance from the focus to the vertex of the parabola. In this case, the focus is located at (4a, 0).

To find "a," we can equate the equation of the parabola to the general equation of a parabola in vertex form: \(y^2 = 4a(x - h)\), where (h, k) is the vertex of the parabola.

Comparing the two equations, we get:

4a = 16

a = 4

Therefore, the latus rectum of the parabola is 4a = 4 * 4 = 16 units.

Since the length of the rectangle is equal to the latus rectum, we have length = 16 units.

Now, to find the width of the rectangle, we need to determine the corresponding y-coordinate on the parabola for the given x-coordinate of the latus rectum. The x-coordinate of the latus rectum is half the length, which is 16/2 = 8 units.

Substituting x = 8 into the equation of the parabola, we get:

\(y^2 = 16(8)\\y^2 = 128\\y = \sqrt{128} = 11.31\)

Therefore, the width of the rectangle is approximately 11.31 units.

The perimeter of the rectangle is given by the formula:

Perimeter = 2(length + width)

Plugging in the values, we have:

Perimeter = 2(16 + 11.31)

Perimeter ≈ 2(27.31)

Perimeter ≈ 54.62

Rounding the perimeter to two decimal places, we get approximately 54.62 units, which is equivalent to 24.63 units.

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Using mathematical operations, we know that the unit rate of Doug's speed in miles per hour is 21/2 miles per hour.

A mathematical action is called an operation.

PEMDAS stands for Parentheses, Exponents, Multiplication, Division, and Addition Subtraction (from left to right).

So, we know that:

Doug rowed 3½ miles in 1/3 hour.

Now, to find the unit rate of speed in miles per hour is:

3½ miles in 1/3 hours

x miles in 1 hour will be:

3½ * 3

6+1/2 * 3

7/2 * 3

21/2 in 1 hour

Therefore, using mathematical operations, we know that the unit rate of Doug's speed in miles per hour is 21/2 miles per hour.

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Answer:

It's very difficult

maby

The conditions at the bottom of the Mariana Trench are vastly different from those in a typical bathtub. The water pressure at that depth is extreme, with over 8 tons of pressure per square inch. In contrast, the water pressure in a bathtub is negligible. Additionally, the water in the Mariana Trench is near freezing, while the water in a bathtub is typically warm or hot. Overall, the conditions in the Mariana Trench are incredibly harsh and inhospitable, making it one of the most extreme environments on Earth.
The Mariana Trench is the deepest part of the ocean at 39,069 feet. The conditions there differ significantly from those in your bathtub. In the Mariana Trench, the water pressure is incredibly high, reaching over 1,000 atmospheres. The temperature is near freezing, ranging from 34-39°F (1-4°C). In contrast, the conditions in your bathtub usually involve much shallower water, lower pressure, and warmer temperatures for a comfortable bathing experience.

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Answer:

10

Step-by-step explanation:

yellow

6+6+3=15

so

for green

4+4+2=10

Answer:

1. 1

1. 13π.

--

20

explain:

1. 1 because any any non-zero expression raised to the power of 0 equals 1

13π.

2. --. because to convert into radian measure multiply by. π

20. ----

180°

ANSWER :

139 feet

EXPLANATION :

The surveyor is 150 feet away from the base of the pole.

The transit is 4 feet tall and the angle of elevation to the top of the pole is 42 degrees.

The illustration will be :

We have a right triangle with an angle of 42 degrees.

The side opposite to the angle is x and the side adjacent to the angle is 150

Using Tangent function :

The height of the pole is x + 4

That will be 135 + 4 = 139 ft

Answer:

30 centimetres cubed

Step-by-step explanation:

hope it helps you if you have any other question ask me it'll be a pleasure to help you good day.

Answer:

your answer is 5.............

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The Correct choice is :

Solution is in attachment ~

7k+1−1 is divisible by 6 by using inductive hypothesis by putting different values on k.

To prove 7k+1-1 is divisible by 6 for all non-negative integers k we need to follow these steps

By using mathematical induction we need to proof the base case is true. When k=0, we have

7k+1-1 = 7^0+1-1 = 1

1 is divisible by 6 as = 6*0 + 1. Therefore, the base case is true.

Now, lets assume that 7k+1-1 is divisible by 6 for some non-negative integer k.

We will use the assumption to prove that 7(k+1)+1-1 is also divisible by 6.

We have:

7(k+1)+1-1 = 7k+7+1-1 = 7(7k+1)-6

By the inductive hypothesis, 7k+1-1 is divisible by 6, so we can write:

7k+1-1 = 6m

where m is an integer.

Putting these values into the previous equation, we get:

7(k+1)+1-1 = 7(6m+1)-6 = 42m+1

42m+1 is  divisible by 6, as 42m+1 = 6(7m)+1.

Therefore,  7k+1-1 is divisible by 6 for some non-negative integer k, then 7(k+1)+1-1 is also divisible by 6.

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Answer:

y=10/3x + 10

Step-by-step explanation:

y = mx + b

m is the slope, b is the intercept

The dimensions of the playground that maximize the total enclosed area is 100 feet.

Let,

L= length of entire playground

W = width of entire playground

Assume the dividing fence is parallel to the width.

Total fencing required

2L + 3W = 400

L= (400 − 3W)2

Area of entire playground,

A= L × W

= (400−3W)/2⋅W

= −3/2W^2 + 200W

Maximum area will occur at a point where the derivative of the area is equal to zero.

dA/dW = −3W+  200 = 0

W = 66 2/3

Substituting 91 1/3 for W in 2L + 3W = 400

gives

2L = 200

L = 100

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Answer:

x = -2

Step-by-step explanation:

all lines which have an undefined slope are completely vertical

a vertical line with the point (-2,-10) crosses the x-axis at -2 and have no y-intercept

Answer:

The x=2 is the correct option.

Step-by-step explanation:

when we have 4x which means 4*x +4 so the side seems small when we multipy and add we get the smaller number as.. 12 but, other number take so big...

Answer:

28√2

Step-by-step explanation: i promise its the answer.

Answer:

28

Step-by-step explanation:

Its the top part  for the number

Answer:

3500=3.5

500=.5

1=.001

x is not shown on there.

The Linnaean class system provides a framework for understanding the diversity of life on Earth by grouping similar organisms together based on shared characteristics.

By comparing and contrasting the definitions of each class, we can see how different groups of animals are related to each other and how they differ in terms of their biological traits.

The Linnaean class system is a way of organizing living things based on shared characteristics. Let's compare and contrast the definitions of the Linnaean classes using a Venn diagram.

First, we have the class Mammalia, which includes all animals that have hair or fur, produce milk to feed their young, and have specialized teeth. This class overlaps with the class Aves, which includes all birds, because some birds have specialized beaks and feathers that are similar to mammalian hair and teeth. However, birds do not produce milk.

Next, we have the class Reptilia, which includes animals that are cold-blooded, lay eggs, and have scales or plates on their skin. This class overlaps with both Mammalia and Aves in terms of species that lay eggs, such as monotremes (platypus and echidnas) and some birds (ostriches and emus). However, reptiles lack specialized teeth and do not produce milk.

Finally, we have the class Amphibia, which includes animals that are cold-blooded, breathe through their skin, and undergo metamorphosis from a water-dwelling larval stage to a land-dwelling adult stage. This class overlaps with Reptilia in terms of some shared characteristics, but Amphibia also lacks specialized teeth and does not lay eggs with hard shells like reptiles.

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The equation that results from translating (j(x) = |x|  right 8 units and up 6 units is:

j(x) = |x - 8| + 6

To translate the function (j(x) = |x| right 8 units and up 6 units, we need to modify the expression inside the absolute value function.

The translation right 8 units means we need to replace x with (x - 8).

The translation up 6 units means we need to add 6 to the entire expression.

So the equation that results from translating (j(x) = |x|  right 8 units and up 6 units is:

j(x) = |x - 8| + 6

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