Of the 30 students in Serena's class, 12 have pets. Using this ratio, how
many students would have pets in a school with 325 students?

There are 8 small boxes and 3 larges boxes.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

let the number of small box be x and large be y.

Each small box can hold 20 books and each large box can hold 40 books.

So, the system of equation

x+ y = 13.............(1)

20x + 40y = 360................(2)

Solving equation (1) and (2) we get

20x + 40(13 - x) = 360

20x + 520 - 40x = 360

-20x = -160

x= 8

and, y= 13-8 = 3

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The angular velocity of tip is 5.42/√L rad/s and the speed of the tip of rod is 5.42√L m/s.

In the given question, a long, thin rod of mass M and length L is standing straight up on a table. Its lower end rotates on a frictionless pivot. A very slight push causes the rod to fall over.

Applying conservation of rotational energy to this situation.

At the start, there is only Potential Energy(PE) and no Kinetic Energy(KE) just before impact, all the PE has converted to KE.

In the starting, the center of mass is half way up, so;

The PE of this system is 1/2 MgL;

where L is the length,

The KE at the end is 1/2 Iw^2

where I is the moment of inertia and w is the angular velocity.

I for a stick pivoted at an end I = 1/3 mL^2, so we have

1/2×m×g×L = 1/2×1/3×m×L^2×w^2

1/2×g = 1/6×lw^2

w = √[3g/L]

A) We have to find the angular velocity.

As we know g=9.8 m/sec^2

w = \(\sqrt{3\times9.8/L}\)

w = √(29.4/L)

w = 5.42√L

The angular velocity of tip is 5.42/√L rad/s.

B) We have to find the speed of the tip of the rod.

The speed of the Tip , v = l×w

v = L × 5.42√L

v = 5.42 × √L

The speed of the tip of rod is 5.42√L m/s.

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Answer:6

Step-by-step explanation:

A survey was conducted among 40 office staff members to determine their favorite type of take-away food. The results of the survey are summarized in a table.

The survey aimed to gather information about the preferred type of take-away food among the 40 office staff members. The results were compiled into a table, which likely includes different types of take-away food options and the corresponding number of staff members who chose each option as their favorite. Analyzing the table will provide insights into the overall preferences of the office staff regarding take-away food choices. This information can be used for various purposes, such as organizing office events or catering services that align with the majority's preferences. By identifying the most popular type of take-away food among the staff, it becomes easier to meet their preferences and create a positive and inclusive work environment.

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Answer:

Step-by-step explanation:

Let the required number be 'n'.

Then, we need to find what the value of n is.

According to the question,

Multiply both sides by 1/7.

Thus, the area of the dodecagon having a radius of 3.4 units is ofund as :

Area = 36.2984 sq. units.

A 12-sided polygon that encloses space is called a dodecagon. Regular dodecagons have equal internal angles and sides on all faces. They could also be asymmetrical, with various angles and sides that differ in size. A convex dodecagon is one that has no vertex pointing inward and no interior angles higher than 180 degrees.

Area of a regular dodecagon when side is given

A = 3 × ( 2 + √3 ) × s² ,

Area of a regular dodecagon when side radius is given:

Area = π*r²

Given data: radius r = 3.4 units

Area = 3.14 * 3.4²

Area = 3.14 * 11.56

Area = 36.2984 sq. units

Thus, the area of the dodecagon having a radius of 3.4 units is ofund as :

Area = 36.2984 sq. units.

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a sampling method is dependent when the individuals selected for one sample are used to determine the individuals in the second sample

Sampling can be defined as a technique of selecting a subset of the population or  individual members in order to make statistical inferences from them and estimate the entire characteristics of the whole population.

Sampling methods are used by researchers in market research to reduce the workload and also to research the entire population

It is time-friendly, cost-effective method and forms the basis of research design.

Some sampling methods are;

It can be said to be dependent when selecting from one sample affects another sample.

Thus, a sampling method is dependent when the individuals selected for one sample are used to determine the individuals in the second sample.

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The rectangular forest area measures 3,000 square kilometers and 30,000 hectares.

To find the rectangular area of forest, we need to multiply its length by its width. The length of the forest is given as 10,000 meters, and the width is given as 300,000 meters.

To convert these measurements to kilometers, we divide each value by 1,000 since there are 1,000 meters in a kilometer. This gives us a length of 10 kilometers and a width of 300 kilometers.

To calculate the area in square kilometers, we multiply the length (10 kilometers) by the width (300 kilometers), resulting in an area of 3,000 square kilometers. This means that the rectangular forest covers an area of 3,000 square kilometers.

Now, to convert the area from square kilometers to hectares, we use the conversion factor that 1 square kilometer is equal to 100 hectares. By multiplying the area in square kilometers (3,000 square kilometers) by this conversion factor, we get the area of the forest in hectares. Therefore, the rectangular forest has an area of 300,000 hectares.

In summary, the rectangular forest measures 3,000 square kilometers and 300,000 hectares.

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Answer:

18/45 = 2/5= 40percent

Step-by-step explanation:

try and break the problem down

do many examples

Answer:

8.1% I think

Step-by-step explanation:

45÷100=0.45

0.45×18=8.1

Answer:

A: x/6+x/12=2

Step-by-step explanation:

I'm pretty sure this is right

Answer:

A

Step-by-step explanation:

Answer:

the answer is 10

Step-by-step explanation:

plz mark brainliest

Answer:

-80

Step-by-step explanation:

Pemdas method.

To determine the function that represents a parabola with the given vertex and focus, we need to know the axis of symmetry of the parabola. The axis of symmetry is a vertical line that passes through the vertex and the focus of the parabola.

In this case, the axis of symmetry is the line x = 1, since the vertex and the focus share the same x-coordinate. The distance between the vertex and the focus is 0.5, which is the distance from the vertex to the directrix of the parabola. This value also represents the distance between the vertex and the focus along the axis of symmetry.

Using the standard form of the equation for a vertical parabola with vertex (h, k) and focal length p, we can write the equation of the parabola as:

(x - h)^2 = 4p(y - k)

Plugging in the given values of the vertex and focus, we have:

(x - 1)^2 = 4(0.5)(y - 3)

Simplifying, we get:

(x - 1)^2 = 2(y - 3)

Expanding the left side, we get:

x^2 - 2x + 1 = 2y - 6

Rearranging, we get:

y = (1/2)x^2 - x + 7/2

Therefore, the function that represents the parabola with the given vertex and focus is:

y = (1/2)x^2 - x + 7/2

So the correct answer is (A).

Answer:

B

Step-by-step explanation:

if b and c are complementary that means b + c = 90

b + 47 = 90

b = 43

since a and b are congruent they are equal

if b = 43 then a = 43

The length of the straw in a rectangular box of dimensions 9 by 6 by 8 inches is the diagonal of the box, which can be found using the Pythagorean theorem. The length of the diagonal is sqrt(181) inches or about 13.4536 inches.

We already know that Jackson biked k kilometers.

Maria biked 8 more kilometers than Jackson, which means that she biked

Peter biked 2 fewer kilometers than Jackson, which means that he biked

To get the total all of them biked, we add those expressions together.

The concentration of a contaminant that enters a lake is a function of time and initially rises rather quickly. However, it is due to the lake's inherent mixing and self-cleansing activity.

Concentration in chemistry is calculated by dividing a constituent's abundance by the total volume of a mixture. The terms "concentration" can refer to any type of chemical mixture, but are most frequently used to describe the solutes and solvents in solutions. There are four different types of concentrations that can be distinguished: mass concentration, molar concentration, number concentration, and volume concentration. There are different types of molar (quantity) concentrations, including normal concentration and osmotic concentration.

Concentration is frequently expressed qualitatively in everyday, non-technical language using words like "dilute" for solutions with a low concentration and "concentrated" for solutions with a high concentration.

If y increases quickly with x, the slope of the graph will be greater (i.e. will be steeper). The slope of the graph will be lower if y increases slowly with x. (i.e. will be less steeper). Straight lines result from constant slope in graphs. 1. Less investment results in a significant boost in production at first. Consequently, graph

1) Begins with a steeper slope. The rate of expansion slows down at the end, therefore the graph

2) will be more gradual. So, D is the proper graph. 2. The slope of the graph increases while train speed stays constant. As a result, graph will be

3) Straight line So, C is the proper graph.  The focus rises quickly at first. Small time therefore yields large

4) an improvement in concentration Therefore, graph will be steeper in beginning. At end, the concentration becomes constant, so graph will be almost horizontal at end.

5)Thus correct graph is B. In beginning, the population increases slowly. Thus large time gives less increase in population. Therefore, graph will be less steep in beginning. At end, the population increases rapidly, so graph will be more and more steeper at end. Thus correct graph is A.

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Answer: y=-8

Step-by-step explanation: I will assume you want the solution in slope intercept form. First, we must find the slope of this line. Since between the two points the y value doesn't change, this means our line is horizontal. So far, we have y=0x+b, since anything multiplied by 0 is zero, we can get rid of that. This line is a horizontal line, and we have the y value, so out equation is y=-8.

The cost of 4.5 tonnes of rock is $56.25

Given,

cost of 1 tonne of rock=$12.50

then

to find cost of 4.5 tonnes of rock, multiply 12.50 with 4.5,

cost of 4.5 tonnes of rock = 4.5* 12.50 = $56.25

Thus ,the cost of 4.5 tonnes of rock is $56.25.

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Answer:

4x+90°=110°[ vertically opposite angle]

4x=110°-90°

4x=20

X=20÷4

X=5

The expression is undefined when  

a. x = -3.

b. x = -2 and x = 2.

c. c = 1/2 and c = -5

a. To simplify the expression:

(4x² - 16x + 12)/(x² - 9)

we factorize

4(x - 1)(x - 3) / (x - 3)(x + 3)

canceling out the common factor (x - 3)

4(x - 1)/(x + 3)

Therefore, the simplified expression is 4(x - 1)/(x + 3).

The expression is undefined when the denominator (x + 3) is equal to zero. So, it is undefined for x = -3.

b.  (-6x² + 9x + 5)/[(x + 2)(x - 2)].

The expression is undefined when either (x + 2) = 0 or (x - 2) = 0. So, it is undefined for x = -2 and x = 2.

C. To simplify the expression:

(3c)/(c² - 25) * (c - 5)/(6c² - 3c) / (2/(c + 5))

simplifying gives by factorization

(3c)/((c + 5)(c - 5)) * (c - 5)/3c(2c - 1) * (2)/(c + 5)

1/(c + 5) * 1/(2c - 1) * (2)/(c + 5)

The expression is undefined when the denominator (2c - 1) is equal to zero. So, it is undefined for c = 1/2. and c + 5 = 0, c = -5

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Answer:

x = 12

y = 13

Step-by-step explanation:

Let's assume the two numbers as x and y.

The sum of the two numbers is 25

So,

The product of the two numbers is 156

Hence, the two numbers are 13 and 12.

Example: we have to find 2 number : a and b

(1)(2) ⇒ 156/b =  25 - b

⇒ 156/b - 25 + b = 25 - b - 25 + b

⇒ b - 25 + 156/b = 0

⇒ (b - 25 + 156/b) × b = 0 × b = 0

⇒ b² - 25b + 156  = 0

⇒ b² - (13b + 12b) + 156 = 0

⇒ b² - 13b - 12b + 156 = 0

⇒ (b² - 13b) + (- 12b + 156) = 0

⇒ b(b - 13) - 12(b - 13) = 0

⇒ (b - 13)(b - 12) = 0

⇒ b = 13 or b = 12

Answer: 12 and 13

OK done. Thank to me :>

Answer:

22.18 = x

Step-by-step explanation:

a^2 + (b)^2 = (x/2)^2

a = sqrt(74)

b = 7

x/2 = ?

(74)[^1/2]^2 = 74            

b^2 = 7^2 = 49

74 + 49 = (x/2)^2       Substitute into a^2 + b^2 = c^2

123 = (x/2)^2              Combine like terms

(123^0.5) = x/2           Take the square root of both sides.

11.09 = x/2                  Multiply both sides by 2

11.09*2 = x

22.18 = x                     The full length of the base of the triangle is 22.18

Answer: C

Step-by-step explanation: We only need to find the value of one of the x so just use Pythagorean theorem but simplified to do it in one step which is sqrt(4^2+6^2) which gives us sqrt(52).

Answer:

25

Step-by-step explanation:

math

Answer:

24

Step-by-step explanation:

=> 5x+2+2x+10 = 180 (Angles on a straight line add up to 180)

=> 7x+12 = 180

=> 7x = 180-12

=> 7x = 168

Dividing both sides by 7

=> x = 24

Answer:

x= 24

Step-by-step explanation:

(5x +2)° +(2x +10)°= 180° (adj. ∠s on a str. line)

5x+2 +2x +10= 180

7x +12= 180 (simplify)

7x= 180 -12 (-12 on both sides)

7x= 168

x= 168 ÷7

x= 24

Answer

8kg

Explanation

3/4--------15

2/5-------x

cross multiplying

3/4×X = 2/5×15

3X/4 = 30/5

3X/4 = 6

cross multiplying

3X = 4×6

3X = 24

dividing bothsides by 3

3X /3 = 24/3

X = 8

therefore, the answer is 8 kg

The smallest number a such that A + BB is regular for all B > a can be determined by finding the eigenvalues of the matrix A. The value of a will be greater than or equal to the largest eigenvalue of A.

A matrix A is regular if it is non-singular, meaning it has a non-zero determinant. We can consider the expression A + BB as a sum of two matrices. To ensure A + BB is regular for all B > a, we need to find the smallest value of a such that A + BB remains non-singular. One way to check for singularity is by examining the eigenvalues of the matrix A. If the eigenvalues of A are all positive, it means that A is positive definite and A + BB will remain non-singular for all B. In this case, the smallest number a can be taken as zero. However, if A has negative eigenvalues, we need to choose a value of a greater than or equal to the absolute value of the largest eigenvalue of A. This ensures that A + BB remains non-singular for all B > a.

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Answer:

The slope of the line is 0.1.

Compute the Gaussian density for the following cases. (a) x=0, m=0, s-1. Give the name of question5a (b) x-2, m=0, s-1. The value of the account on January 1, 2021, would be $2,331.57.

To calculate the value of the account on January 1, 2021, we need to consider the compounding interest for each year.

First, we calculate the value of the initial deposit after three years (12 quarters) using the formula for compound interest:

Principal = $1,000

Rate of interest per period = 8% / 4 = 2% per quarter

Number of periods = 12 quarters

Value after three years = Principal * (1 + Rate of interest per period)^(Number of periods)

                           = $1,000 * (1 + 0.02)^12

                           ≈ $1,166.41

Next, we calculate the value of the additional $1,000 deposit made on January 1, 2019, after two years (8 quarters):

Principal = $1,000

Rate of interest per period = 2% per quarter

Number of periods = 8 quarters

Value after two years = Principal * (1 + Rate of interest per period)^(Number of periods)

                         = $1,000 * (1 + 0.02)^8

                         ≈ $1,165.16

Finally, we add the two values to find the total value of the account on January 1, 2021:

Total value = Value after three years + Value after two years

                ≈ $1,166.41 + $1,165.16

                ≈ $2,331.57

Therefore, the value of the account on January 1, 2021, is approximately $2,331.57.

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