water leaks from a tank at a rate of 2 5t liters/hour, where t is the number of hours after 7 am. how much water is lost between 9 and 11 am?

Answer: 160 children and 174 adults

Step-by-step explanation:

Let x represent the children and y represent the adults.

Create two equations:

x+y=334

1.50x+2y=588

Subtract 1.50x from the equation, then divide by 2:

y=294 - 0.75x

Plug it into the first equation then solve.

x+294-0.75x=334

x=160

Subtract 160 from 334 to get y:

y=174

the radial form is, 6 times the eight root of x to the fifth power.

Radical - The √ symbol that is used to denote square root or nth roots. Radical Expression - A radical expression is an expression containing a square root.

here, given that,

6x^5/8

now,

the radial form is,

6 times the eight root of x to the fifth power.

Hence, the radical form is, 6 times the eight root of x to the fifth power.

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Answer:

it is -3/15

Step-by-step explanation:/ im not good at explning it

Answer:

\(-\frac{4}{15}\)

Step-by-step explanation:

\(-\frac{3}{5} +\frac{1}{3}\\\\ \text{LCM 5,3: 15}\\\\\frac{-3}{5}=\frac{-9}{15}\\\\\frac{1}{3}=\frac{5}{15}\\\\\\\frac{-9}{15}+\frac{3}{15}=\frac{-9+5}{15}=\boxed{-\frac{4}{15}}\)

Hope this helps.

Answer:

The answer is 1 meter

Step-by-step explanation:

One meter is equal to 1000 mm

The number of players in the team would be 15 which can bring to the tournament.

A soccer squad collected $1511 to attend a competition. They spent $933.50 on a bus rental and $38.50 for each player on food.

A numerical expression is an algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.

Let the number of players would be x

As per the given information, the required solution would be as:

Total budget = (per player meal)(x players) + bus rent

1511 = 38.50x + 933.50

Rearrange the terms and solve for x

1511 - 933.50 = 38.50x

577.50 = 38.50 x

Divide both sides by 38.50 into above equation,

x = 15

Therefore, the number of players in the team would be 15 which can bring to the tournament.

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Answer:

What is the question?! I don't understand, sry?!

Step-by-step explanation:

The roots of the quadratic equation 0 = 2x² + 12x-14 is (C) x=-7 and x=1.

Any equation in algebra that can be written in the standard form where x stands for an unknown value and a, b, and c stand for known values is said to be a quadratic equation.

In general, it is assumed that a > 0; equations with a = 0 are regarded as degenerate since they become linear or even simpler.

So, the roots of 0 = 2x² + 12x-14 are:

2x² + 12x-14  = 0

2x² + 14x - 2x -14

2x(x + 7) - 2(x + 7)

(2x - 2) (x + 7)

Now, use the zero product property as follows:

2x - 2 = 0

2x = 2

x = 2/2

x = 1

And

x + 7 = 0

x = -7

Therefore, the roots of the quadratic equation 0 = 2x² + 12x-14 is (C) x = -7 and x = 1.

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Correct question:

What are the roots of the quadratic equation 0 = 2x² + 12x-14?

a. 1,6, -7

b. 2,12,-14

c. -7,1

d. -1,7

Answer:

Evangelina and Josh can be considered correct but this can be simplified to just 28. so if you want the simplification of this problem it would be no one but both are correct if you just want to see if they equal the same answer

Step-by-step explanation:

they are correct because they could simplify it

Evangelina and Josh can be considered correct but this can be simplified to 28.

Usually, simplification involves proceeding with the pending operations in the expression. Like, 5 + 2 is an expression whose simplified form can be obtained by doing the pending addition, which results in 7 as its simplified form. Simplification usually involves making the expression simple and easy to use later.

Given that Josh says that (4)(-7)(-1) is equal to (4)(7).

Evangelina says (4)(-7)(-1) is equal to (-28)(-1).

(4)(-7)(-1) = (4)(7) =28

Similalray;

(-28)(-1) = 28

We can see that the answer of the both the simplification are correct.

Evangelina and Josh can be considered correct but this can be simplified to 28.

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Answer:

The selling price of the bag is $22.5

Step-by-step explanation:

Buying Price = $25,

Selling Price = ?

Since they sold it at a loss of 10%,

So, they sold it for a price 10% less than the buying price,

or at 90% or 0.9 of the buying price,

so,

Selling Price = (0.9)(25) = $22.5

(a) The mean of Z in case (a) is -60 and the variance is 400.

(b) The mean of Z in case (b) is 280 and the variance is 3600.

(c) The mean of Z in case (c) is 60 and the variance is 65.

(d) The mean of Z in case (d) is -20 and the variance is 65.

(e) The mean of Z in case (e) is 80 and the variance is 505.

To find the mean and variance of the random variable Z for each case, we can use the properties of means and variances.

(a) Z = 40 - 5X

Mean of Z:

E(Z) = E(40 - 5X) = 40 - 5E(X) = 40 - 5 * 20 = 40 - 100 = -60

Variance of Z:

Var(Z) = Var(40 - 5X) = Var(-5X) = (-5)² * Var(X) = 25 * Var(X) = 25 * (4)² = 25 * 16 = 400

Therefore, the mean of Z in case (a) is -60 and the variance is 400.

(b) Z = 15X - 20

Mean of Z:

E(Z) = E(15X - 20) = 15E(X) - 20 = 15 * 20 - 20 = 300 - 20 = 280

Variance of Z:

Var(Z) = Var(15X - 20) = Var(15X) = (15)² * Var(X) = 225 * Var(X) = 225 * (4)² = 225 * 16 = 3600

Therefore, the mean of Z in case (b) is 280 and the variance is 3600.

(c) Z = X + Y

Mean of Z:

E(Z) = E(X + Y) = E(X) + E(Y) = 20 + 40 = 60

Variance of Z:

Var(Z) = Var(X + Y) = Var(X) + Var(Y) = (4)² + (7)² = 16 + 49 = 65

Therefore, the mean of Z in case (c) is 60 and the variance is 65.

(d) Z = X - Y

Mean of Z:

E(Z) = E(X - Y) = E(X) - E(Y) = 20 - 40 = -20

Variance of Z:

Var(Z) = Var(X - Y) = Var(X) + Var(Y) = (4)² + (7)² = 16 + 49 = 65

Therefore, the mean of Z in case (d) is -20 and the variance is 65.

(e) Z = -2X + 3Y

Mean of Z:

E(Z) = E(-2X + 3Y) = -2E(X) + 3E(Y) = -2 * 20 + 3 * 40 = -40 + 120 = 80

Variance of Z:

Var(Z) = Var(-2X + 3Y) = (-2)² * Var(X) + (3)² * Var(Y) = 4 * 16 + 9 * 49 = 64 + 441 = 505

Therefore, the mean of Z in case (e) is 80 and the variance is 505.

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a) It is not possible for everyone in a group of 5 friends to have exactly two friends.

b) It is possible for everyone in a group of 5 friends to have exactly three friends.

(a) It is not possible for everyone in a group of 5 friends to have exactly two friends. To see why, suppose that each person has exactly two friends. This means that each person is connected to two other people in the group. If we start at any person in the group, we can follow their connections to the other people in the group.

Since each person has only two friends, the connections will form a chain or loop. However, if we keep following the connections, we will eventually return to the original person, forming a loop. This means that the group must be connected in a loop or chain, but this is impossible with 5 people.

(b) It is possible for everyone in a group of 5 friends to have exactly three friends. One example is the complete graph on 5 vertices, denoted K5, where every vertex is connected to every other vertex. In this graph, every person has exactly 4 friends, since they are connected to all of the other people in the group.

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The value of the missing length LN of the similar triangles is; LN = 18

Similar triangles are defined as triangles that have the same shape, but their sizes may vary. This means therefore that, if two triangles are similar, then we can say that their corresponding angles are congruent and also their corresponding sides are in equal proportion.

In the given triangle attached, we can say that if we apply the concept of similar triangles, we will get;

LN/LK = MN/JK

We are told that;

MN is 12 more than LN. Thus; MN = 12 + LN

LK = 33

JK = 55

Thus;

LN/33 = (12 + LN)/55

55LN = 33(12 + LN)

55LN = 396 + 33LN

22LN = 396

LN = 396/22

LN = 18

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Answer:

width=23.205 in.

length=29.085 in.

Step-by-step explanation:

width=x

length =x+5.88

Perimter=x+x+x=5.88+x+5.88=104.58

4x+11.76=104.58

4x=104.58-11.76

4x=92.82

x=23.205

width=x=23.205 In.

length=x+5.88=23.205+5.88=29.085 in.

Answer:

1000 placemats ordered

Answer:

1, 3, 7

Step-by-step explanation:

A rational number can be written as a ratio or fraction.

1) I wasn't able to determine a fraction for what I'm assuming you meant by 0.878787878787 going on and on so it must be irrational

2) 3.624 can be written as 3 78/125

3) The square root of two is irrational

4) 0.6666666 going on and on can be written as 1/3

5) -5.6 can be written as a fraction too

6) 1/3 is already a fraction

7) Pi is irrational

Hope that helps!

Answer:

0.8 km

Step-by-step explanation:

just divide 1.6km by 2

Yes, line is used to define an angle.

When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.

When two straight lines or rays intersect at a single endpoint, an angle is created.

The vertex of an angle is the location where two points come together.

The common point is referred to as the vertex.

The length of the angle formed when two rays or arms intersect at a common vertex is known as an angle measure in geometry.

A straight line is a straight angle.

Therefore, two lines are used to define an angle.

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To find:

The method of drwaing the graph of given inequality.

Solution:

Given inequality: -3m +18 < 30.

Solve the inequality:

To draw the graph, draw a dotted line on -4. Since, the solution set contains all numbers greater than -4,so, shade the portion that lies to right side of -4.

The FOIL method, which stands for First, Outer, Inner, Last, is a technique commonly used to multiply binomials.

It involves multiplying the First terms, then the Outer terms, then the Inner terms, and finally the Last terms, and then combining the results. While the FOIL method works well for multiplying binomials, it is not applicable for multiplying all polynomials.

The reason the FOIL method cannot be used to multiply all polynomials is that it only applies to the specific case of multiplying two binomials with two terms each. When dealing with polynomials that have more than two terms or polynomials of higher degrees, the FOIL method does not provide a systematic approach to handle the multiplication.

For example, consider multiplying the polynomial (x + 2) with the polynomial (x^2 + 3x - 4). Applying the FOIL method, we would only multiply the First terms (x * x^2), the Outer terms (x * 3x), the Inner terms (2 * x^2), and the Last terms (2 * -4). However, this approach overlooks the multiplication between the terms of different degrees (e.g., x * 3x or 2 * x^2) and fails to account for all possible combinations.

To multiply more complex polynomials, we typically use more advanced methods such as the distributive property, grouping, or the use of matrices. These methods provide a systematic and comprehensive approach to handle polynomial multiplication in general, accommodating polynomials with any number of terms or degrees.

In summary, while the FOIL method is a helpful technique for multiplying binomials, it cannot be used for multiplying all polynomials due to its limited applicability. For more complex polynomials, alternative methods are necessary to ensure accurate and comprehensive multiplication.

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Janasia, this is the solution to the exercise:

The answer is 7!. In consequence,

7 * 6 * 5 * 4 * 3 * 2 * 1

42 * 20 * 6

5,040

The cans of soup can be displayed in 5,040 ways in a row on a shelf.

Answer:

28043.3 \(m^{3}\)

Step-by-step explanation:

Formula for volume of a hemisphere can be termed as:

\(V = \dfrac{2}{3} \pi r^{3}\)

where \(r\) is the radius of hemisphere

Please refer to the figure attached for the sample figure of a hemisphere.

We are given here, diameter of hemisphere = 47.5 m

Relation between diameter and radius is given as :

\(r = \dfrac{d}{2}\)

where, \(r\) is the radius and

\(d\) is the diameter.

So, \(r = \dfrac{47.5}{2}\ m\)

Volume is:

\(V = \dfrac{2}{3} \pi (\dfrac{47.5}{2})^3\\\Rightarrow \dfrac{2}{3} \times 3.14 \times (\dfrac{47.5}{2})^3\\\Rightarrow 28043.3\ m^3\)

Hence, volume of given hemisphere is 28043.3 \(m^{3}\).

Answer:

Step-by-step explanation:

What is the volume of a hemisphere with a diameter of 37.6 m, rounded to the  of a cubic meter?

\text{Volume of a Sphere:}

Volume of a Sphere:

V=\frac{4}{3}\pi r^3

V=

3

4

​

πr

3

\text{radius} = \frac{\text{diameter}}{2} = \frac{37.6}{2}=18.8

radius=

2

diameter

​

=

2

37.6

​

=18.8

meters

\text{Plug in:}

Plug in:

\frac{4}{3}\pi (18.8)^3

3

4

​

π(18.8)

3

27833.1369876

27833.1369876

Use calculator

\text{Volume of Hemisphere HALF of Volume of Sphere:}

Volume of Hemisphere HALF of Volume of Sphere:

\frac{27833.1369876}{2}

2

27833.1369876

​

Divide volume by 2

13916.5684938

13916.5684938

\approx 13916.6\text{ m}^3

≈13916.6 m

3

Round to the nearest tenth

Answer:

D.5

Step-by-step explanation:

5 because in order for the line to be parallel the slope needs to be the same

Answer:

113.398

Step-by-step explanation:

I got this answer by dividing the mass value by 2.205

Answer:

1364

Step-by-step explanation:

use the calculator

Answer: 30 x 20; 6 x 20; 30 x 3; 6 x 3

Step-by-step explanation: When multiplying 36 and 23, we first start out by multiplying 3 and 36. Then we multiply 20 and 36 using the double digit multiplication method. We add those numbers to get 828.
3 • 36 can be broken into:

3 • 30 + 3 • 6
20 • 36 can be broken into:

20 • 30 + 20 • 6.

So 23 • 36 is equal to the sum of 3 • 30 + 3 • 6 + 20 • 30 + 20 • 6.

We also know that the grouping 30 x 20; 6 x 20; 30 x 3; 6 x 3 is correct because it’s the only answer choice that sums to 828.

Answer:

$647.25

Step-by-step explanation:

Twenty-five percent off the regular $800 price comes to 0.75($800), or $600 (after the discount).

Calculating the 7.875% sales tax and adding it in, we find that the final price to be paid is (1 + .07875)($600), or $647.25.

Answer:

Five feet

Step-by-step explanation:

H = A ÷ L

H = 65 ÷ 13

H = 5 ft

Answer:

answer would be x = 1

Step-by-step explanation:

The volume of the cylinder will increase by a factor of 4 if the radius of the cylinder doubles.

Volume is the amount of space occupied by a three-dimensional object or region of space and expressed in cubic units.

To get the volume of a cylinder, multiply the area of the circular base with the height:

V = \(\pi r^{2} h\)

where

r is the radius of the base (circle) of the cylinder

h is the height of the cylinder

Thus, the volume of cylinder directly varies with its height and directly varies with the square of its radius

So if the radius of the cylinder doubles,

V = \(\pi (2r)^{2}h\)

V = \(\pi (4r^{2}) h\)

V = \(4\pi r^{2} h\)

Then, the volume will increase by a factor of 4.

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The type of graph described, where the bars are positioned in order of decreasing height, is a Pareto chart. Option C

A Pareto chart is a specific type of vertical bar graph that displays data in descending order of frequency or magnitude. It is named after Vilfredo Pareto, an Italian economist who introduced the concept of the 80/20 rule, also known as the Pareto principle.

In a Pareto chart, the vertical bars represent different categories or groups, while the height of each bar represents the frequency or magnitude of the data associated with that category. The bars are arranged in descending order, with the tallest bar positioned on the left, gradually decreasing in height towards the right.

The purpose of a Pareto chart is to highlight the most significant factors or categories that contribute the most to a particular outcome. It allows for easy visual identification of the most important elements or issues, helping in decision-making and problem-solving processes.

Unlike a pie chart (option D) or a stem-and-leaf plot (option B), which represent data in different ways, a Pareto chart specifically focuses on ranking and ordering categories by their frequency or magnitude. Therefore, "pareto chart," is the most appropriate choice for the described graph. So  option C is correct.

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