Will give brainlist! The area of a swimming pool covers 350 square feet if the height of the pool if 5 feet what is the volume.

Answer:

1 5/36

Step-by-step explanation:

To add fractions, you need to have a common denominator between the two fractions.

In this case, the lowest common denominator would be 36. Convert each fraction.

5/9 = 20/36 (multiply the numerator and denominator by 4)

7/12 = 21/36 (multiply top and bottom by 3)

20/36 + 21/36 = 41/36

Then you need to simplify the fraction. 36 goes into 41 once (1), with a remainder of 5, so you would get 1 5/36.

Hope this helps!

Therefore, the interval of existence for the given IVP is determined by the neighborhood of x = 3 where y ≠ 0.

To determine the interval on which the fundamental existence theory for first-order initial value problems guarantees a unique solution for the given IVP (22 - 4/y)y' = with y(3) = 1, we need to check the conditions of the existence and uniqueness theorem.

The existence and uniqueness theorem for first-order initial value problems states that if a function f(x, y) is continuous on a region R, including an open interval (a, b), containing the initial point (x₀, y₀), then there exists a unique solution to the IVP on some open interval containing x₀.

In this case, the function f(x, y) is given by f(x, y) = (22 - 4/y)y'.

To apply the existence and uniqueness theorem, we need to ensure that the function f(x, y) is continuous on a region R that includes the initial point (x₀, y₀). In our case, the initial point is (3, 1).

To determine the interval of existence, we need to examine the behavior of the function f(x, y) = (22 - 4/y)y' and check if it is continuous in a neighborhood of the initial point (3, 1).

Since the function f(x, y) involves the term 1/y, we need to ensure that y ≠ 0 in the neighborhood of (3, 1) for continuity.

Given that y(3) = 1, we know that y is nonzero in a neighborhood of x = 3.

Therefore, the interval of existence for the given IVP is determined by the neighborhood of x = 3 where y ≠ 0.

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Answer:

0.119

Step-by-step explanation:

Based on the concept of conditional probability, the probability that the first iPod is defective and the others are not defective is approximately 0.1842

Conditional Probability is a term that is used to describe the chances that some outcome occurs given that another event has also occurred.

Generally, the functional probability is often stated as the probability of B given A and is written as P(B|A), where the probability of B depends on that of A happening

In this case, to find the answer we break down the problem step by step:

Step 1: Find the probability that the first iPod is defective.

Since there are 3 defective iPods out of 20 total the probability of selecting a defective iPod on the first draw is 3/20.

Step 2: Find the probability that the second and third iPods are not defective.

After selecting a defective iPod there are 19 remaining iPods in the box out of which 17 are not defective.

Hence, the probability of selecting a non-defective iPod on the second draw is 17/19.

Also, given that the probability of selecting a non-defective iPod on the third draw (assuming the previous two iPods were not defective) is 16/18.

Step 3: Finding the overall probability.

The overall probability of the first iPod being defective and the second and third iPods being non-defective can be computed by multiplying the probabilities of each step:

Probability = (3/20) * (17/19) * (16/18)

= (51/380) * (16/18)

= 0.1842105

Therefore, in this case, it is concluded that the correct answer is approximately 0.1842 or 18.42%.

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Answer:

-3x-19y+8

Step-by-step explanation:

Answer:

-3x-19y+8

Step-by-step explanation:

thanks for 50 points.

Answer:

The answer is A- m=10

Step-by-step explanation:

The way to find slope is known as "Rise over Run" meaning the increase of Y over the increase of X. The increase of Y is 10 because 1 - (-9) = 10. The increase of X is 1 because 5 - 4  = 1. 10 over 1, or 10 / 1, equals 10.

Answer:

go to 1.6 on the number line

Step-by-step explanation:

then just divide 1.6 by 4 then find where that answer is on the number line

Answer:

Step-by-step explanation:

2 values

x^2-1=0

x^2=1

x=±1

thes are the two values for which the function is discontinuous.

The domain of the function f(x) = 3x^2 - 6x - 13 is (-∞, ∞).

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes.

To determine the domain of the function f(x) = 3x^2 - 6x - 13, we need to consider any restrictions on the values of x that would make the function undefined.

In this case, since x represents the velocity of the boat relative to land, there are no inherent limitations or restrictions on the possible values of x. The domain of the function is therefore all real numbers, or (-∞, ∞).

Therefore, the domain of the function f(x) = 3x^2 - 6x - 13 is (-∞, ∞).

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a. True. The statement {x} ∈ {x} single element is true .

b. False. The statement If A ⊆ B ∪ C, then A ⊆ B or A ⊆ C is false .

c. False. The statement |A × B| ≥ |A| for all sets A and B is false.

d. True. The statement The multiplication of any rational number with an irrational number is irrational is true

e. True. The statement In any group of 25 or more people, there are at least three of them who were born in the same month is true.

f. True. The statement Suppose there are 4 different types of ice cream you like.

(a) True. The statement {x} ∈ {x} is true because {x} is a set that contains a single element, which is x. Therefore, {x} is an element of itself.

(b) False. The statement If A ⊆ B ∪ C, then A ⊆ B or A ⊆ C is false. It is possible for A to be a subset of B ∪ C without being a subset of either B or C. For example, let A = {1}, B = {1, 2}, and C = {3}. Here, A is a subset of B ∪ C, but A is not a subset of either B or C.

(c) False. The statement |A × B| ≥ |A| for all sets A and B is false. The cardinality (number of elements) of the Cartesian product of sets A and B, denoted |A × B|, is equal to the product of the cardinalities of A and B, i.e., |A × B| = |A| × |B|. Therefore, if |A| > 0 and |B| > 0, then |A × B| = |A| × |B|, which implies that |A × B| ≥ |A| only if |B| ≥ 1. However, if |B| = 0 (an empty set), then |A × B| = 0, which is less than |A|.

(d) True. The statement The multiplication of any rational number with an irrational number is irrational is true. When you multiply a non-zero rational number with an irrational number, the result is always irrational. This is because the product of a non-zero rational number and an irrational number cannot be expressed as a ratio of two integers, which is the defining characteristic of irrational numbers.

(e) True. The statement In any group of 25 or more people, there are at least three of them who were born in the same month is true. This is known as the pigeonhole principle or the birthday paradox. Since there are only 12 months in a year, if there are 25 or more people in a group, then there must be at least three people who share the same birth month.

(f) True. The statement Suppose there are 4 different types of ice cream you like. You must eat at least 25 random ice creams to guarantee that you have had at least 6 samples of one type is true. This is an application of the pigeonhole principle as well. If there are 4 different types of ice cream and you want to guarantee that you have had at least 6 samples of one type, then you would need to keep choosing ice creams until you have selected at least 25 of them. This ensures that you have enough chances to have at least 6 samples of one type.

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Answer:

$25.50

Step-by-step explanation:

85% can be written as 0.85

Therefore just multiply it by 0.85 times 30 and you'll get $25.50 dollars.

Assuming that the arithmetic instruction took 4 cycles on average before the improvement, it would now take 3 cycles on average after the improvement.

Original time:

4 cycles

25% improvement:

0.75 * 4

= 3 cycles

The original time for an arithmetic instruction to execute was 4 cycles. To achieve a 25% improvement in performance, the time must be reduced by 25%. This can be calculated by subtracting 25% of the original time from the original time. In this case,

25% of 4 cycles is 1 cycle,

so 4 cycles minus 1 cycle equals 3 cycles.

Therefore, after the improvement, the arithmetic instruction will take 3 cycles on average to execute. No changes are made to the load/store and branch instructions.

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Answer:

true

Step-by-step explanation:

The missing step in solving the inequality 4(x – 3) + 4 < 10 + 6x is step 6: The division property of inequality: x > -9

The missing step in solving the inequality 4(x – 3) + 4 < 10 + 6x is step 6: The division property of inequality.

After step 4, which is -2x < 18, we need to divide both sides of the inequality by -2 to solve for x.

However, since we are dividing by a negative number, the direction of the inequality sign needs to be reversed.

Dividing both sides by -2:

-2x / -2 > 18 / -2

This simplifies to:

x > -9

Therefore, the correct answer is x > -9.

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A and B are independent events if the probability of getting a red convertible is 0.08

The given parameters are:

P(A) = 0.20

P(B) = 0.40

The events are independent, if

P(A and B) = P(A) * P(B)

So, we have:

P(A and B) = 0.20 * 0.40

Evaluate

P(A and B) = 0.08

Hence, A and B are independent events if the probability of getting a red convertible is 0.08

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Complete question

A video game randomly chooses your car color and type. The probability of getting a red car is 0.20, and the probability of getting a convertible is 0.40.

Event A = You get a red car.

Event B = You get a convertible.

A and B are independent events if _____.

A.The probability of getting a red car or a convertible is 0.60.

B.The probability of getting a red car or a convertible is 0.08.

C.The probability of getting a red convertible is 0

D.The probability of getting a red convertible is 0.08

the possible values of x and y would be any positive real numbers such that their product is greater than 60.In interval notation, we can write the solution set as: x > 60/y or y > 60/x

what is positive real numbers  ?

Positive real numbers are any numbers that are greater than zero and can be represented on the number line to the right of zero. Examples of positive real numbers include 1, 2, 3, 0.5, 0.001, 1/3, and π.

In the given question,

Let's assume that the length of the rectangle is x and the width is y.

The area of a rectangle is given by A = xy.

According to the problem statement, A > 60 square feet.

So, we can write the inequality:

xy > 60

To solve for x, we can isolate it on one side of the inequality:

x > 60/y

To solve for y, we can isolate it on one side of the inequality:

y > 60/x

Therefore, the possible values of x and y would be any positive real numbers such that their product is greater than 60.

In interval notation, we can write the solution set as:

x > 60/y or y > 60/x

(0, ∞)

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If you're not motivated, it would take you approximately nine months; however, if you are and can dedicate an hour or two every day to studying, it would only take you about six months.

6 Unknown Methods for Quickly Mastering Algebra

You may probably self-study Math rather simply as if you were in college with all the free materials available online, including lectures, syllabi, ebooks, and MOOCS. You can go at your own pace, which is the finest part. It's common for algebra to be challenging because we mistakenly think we're learning new material when, in reality, we're just applying language to specific concepts that we already know to be true.

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Answer:

20%

Step-by-step explanation:

Calculate percentage change

from V1 = 15 to V2 = 18

(V2−V1)|V1|×100

=(18−15)|15|×100

=315×100

=0.2×100

=20%change

=20%increase

Answer:

20%

Step-by-step explanation:

Answer:

50 minutes

Step-by-step explanation:

so it takes 25 minutes to boil 10 egggs so right now we have to find out the how Long one egg cooks for so it’s 25/10 and the answer is 2.5 and 2.5 times 20 is 50 so it takes 50 mins to cook 20 eggs

Answer:

Step-by-step explanation:

\(a_{n}=-n^2+6\\a_{1}=-1^2+6=5\\a_{2}=-2^2+6=2\\a_{3}=-3^2+6=-3\\a_{4}=-4^2+6=-10\\a_{5}=-5^2+6=-25+6=-19\\a_{6}=-6^2+6=-36+6=-30\)

The table of the statements and justifications used to prove that the quadrilateral GEOM is a parallelogram can be completed as follows;

            Statements           \({}\)                           Justifications

1.        \({}\)ΔGEO ≅ ΔOMG                                  1. Given

2. ∡EGO ≅ ∡GOM, ∡MGO ≅ ∡GOE \({}\)          2. CPCTC

3. \(\overline{GM}\)║ \(\overline{EO}\), \(\overline{GE}\) ║ \(\overline{MO}\)      \({}\)             3. Converse of alt. int. ∠s Theorem

4. GEOM is a parallelogram\({}\)                         4. Definition of a parallelogram

A parallelogram is a quadrilateral that have opposite parallel sides.

The details of the justifications in the table used to prove that quadrilateral GEOM is a parallelogram are presented as follows;

CPCTC

CPCTC is an acronym for Corresponding Parts of Congruent Triangles are Congruent, which indicates that if teo triangles are congruent, then the corresponding sides and angles in both triangles are also congruent.

Converse of the alt. int ∠s theorem

The converse of the alternate interior angles theorem states that if the alternate interior angles formed by two lines and their common transversal are congruent, then the lines are parallel.

The angles ∡EGO, and ∡GOM are alternate interior angles, similarly, the angles ∡MGO and ∡GOE are alternate interior angle.

Whereby ∡EGO ≅ ∡GOM and ∡MGO ≅ ∡GOE, according to the convderse of the alternate interior angles theorem, the lines \(\overline{GE}\) is parallel to \(\overline{MO}\), and \(\overline{GM}\) is parallel to \(\overline{EO}\),  \(\overline{GE}\) ║ \(\overline{MO}\), and \(\overline{GM}\) ║ \(\overline{EO}\)

Definition of a parallelogram

The definition of a parallelogram, indicates that, where  \(\overline{GE}\) ║ \(\overline{MO}\), and \(\overline{GM}\) ║ \(\overline{EO}\), then the quadrilateral GEOM is a parallelogram.

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Answer:Triangle A = 7.5 Triangle B= 15 Area=22.5

Step-by-step explanation:

So first we have to get the area of Triangle A. This means we have to find the height and base of it. The base is 5 and the height is 3 as you can see in the picture. So 5x3 equals 15, but because it's a triangle we have to divide by 1/2, which makes 7.5. So the area for Triangle A is 7.5.

Now we have to find the area for Triangle B. The height is 3 and the base is 10. So like we did with Triangle A we have to multiply and then divide by 1/2. Which makes 15.

Now that you have both areas you just have to add them together. Which makes 22.5.

So 22.5 is the answer. Give brainilest if you can!

\(p = 5a\)

Answer

P=60

Step by step explanation

a= 12

so according to the formula

p=5(12)

p=60

The perimeter of a pentagon with sides that are each 12 inches long is 60 inches.

The perimeter of a form is the space surrounding its edge.

The whole distance encircling a shape is referred to as its perimeter. It is the length of any two-dimensional geometric shape's boundary or outline. Depending on the size, the perimeter of several figures can be the same.

We have,

Sides of Pentagon = 12 inches

We know that Pentagon have 5 sides.

So, Perimeter of Pentagon

= 5 x side

= 5 x 12

= 60 inches

Thus, the Perimeter is 60 inches.

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Face-centered tetragonal lattices are not listed among the 14 3D Bravais lattices because they can be described as a combination of two different Bravais lattices: the simple tetragonal lattice and the face-centered cubic lattice.

To understand why, let's consider the definition of a face-centered tetragonal lattice. It is characterized by a rectangular prism with edges of equal length and right angles between them. Additionally, it has lattice points at the corners of the prism and one additional lattice point at the center of each face.

However, this arrangement can be described as a combination of a simple tetragonal lattice and a face-centered cubic lattice.

The simple tetragonal lattice consists of lattice points only at the corners of the rectangular prism, while the face-centered cubic lattice has lattice points at the corners and one additional lattice point at the center of each face.

By combining these two lattices, we can obtain a structure that satisfies the conditions of a face-centered tetragonal lattice.

Therefore, the face-centered tetragonal lattice is not considered as a separate Bravais lattice but rather as a composite of the simple tetragonal and face-centered cubic lattices.

Here is a sketch to illustrate the arrangement:

```

       o-------o-------o

      /                   /

   /       o          /

 /                   /

o-------o-------o

```

The solid circles represent lattice points, and the lines represent the unit cell. The corners of the rectangular prism correspond to lattice points from the simple tetragonal lattice, while the centers of the faces correspond to lattice points from the face-centered cubic lattice. Together, they form the face-centered tetragonal arrangement.

By recognizing that face-centered tetragonal lattices can be described using a combination of simpler lattices, the need to list them as a separate 3D Bravais lattice is eliminated.

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Answer:

so put them in fraction then add both of them

Step-by-step explanation:3/5 1/15

The answer to the question is x = 4

Answer:

4

Step-by-step explanation:

3(x - 4) + 2x =8

3x - 12 + 2x =8

5x -12 =8

5x +20

x= 4

Answer:

Nominal decisions can be broken into two distinct categories: dichotomous decisions and polychotomous decisions.

Answer:

In 6 minutes they will be 714 miles apart.

Step-by-step explanation:

d = vet

Bus 1: d = 59t

Bus 2: d = 60t

Add both equations

= 59t + 60t = 119t

distance bus 1+distance bus 2 = 714

714 = 119t

714/119 = t

t = 6

Bus 1 has traveled 6*59=354 miles in 6 minutes

Bus 2 has traveled 6*60= 360 miles in 6 minutes