Tammy received
5
of the 49 votes cast for class vice-president. How many votes did she receive?
7
Write your answer in simplest form.

The number 11 represents the equation of is sunflower's height when it was planted.

What is an equation?

A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation.

Here, we have

The sunflower's height in inches, h, after weeks, is given by the equation:

h = 3.75w + 11

We have to find what the number 11 represents in the equation.

If we put w=0, we get,

h = 3.75(0) + 11

h = 11 inches

It means when the number of weeks is equal to 0, its height is equal to 11 inches. "The sunflower's height when it was planted."

Hence, the number 11 represents the equation of is sunflower's height when it was planted.

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Equilibrium is the term refers to coordination, balance, and balance in three dimensional space.

The equilibrium condition of an object exists when Newton's first law is valid. An object is in equilibrium in a reference coordinate system when all external forces (including moments) acting on it are balanced. This means that the net result of all the external forces and moments acting on this object is zero.

There are three types of equilibrium: stable, unstable, and neutral.

Examples of equilibrium in everyday life:

A book kept on a table at rest. A car moving with a constant velocity. A chemical reaction where the rates of forward reaction and backward reaction are the same.

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The maximum and the minimum total area inclosed are 6.25m² and 2.72m²

What is an area?

⇒ The area is the region bounded by the shape of an object.

Calculation:

Let x is the length of the piece of wire for the equilateral triangle, whose side will then be (x/3) m long.

⇒  (10 - x) = length of the remaining piece for the square, whose side will then be (10 - x)/4 m long.

h = height of the equilateral triangle = h = a×√3/2 = (x/3)×(√3/2)

(Where a is the side of the triangle)

A(x) = Total area of the square formed + Total area of the triangle formed

Then    A(x) = [(10 - x)/4]²+ (1/2)(x/3)(x/6)√3

                   = [(100 - 20x + x²)/16] +  (√3/36)x² .

The maximum total area enclosed :

⇒ The entire 10m length should be allocated to the square because a square produces more area per unit of its perimeter than does a triangle.

Thus if all square, then x=0 and A(0)  = [2.5]² = 6.25 m² = Maximumarea

If all triangle, then x = 10  and  A(10) = (1.732/36)(100) = 4.811 m² .

So, the maximum area occurs when it's all used to make a square of side 2.5 m.

The minimum total area enclosed is :

⇒ We want a relatively small square and a small triangle.

 We are going to Find x by setting the derivative of A(x) to zero.

d[ A(x)]/dx  =   [(-20 + 2x)/16] + (2√3/36)x = 0

                  =  -5/4  + (1/8)x  +  (√3/18)x  = 0

                 x =  5/[4 (1/8 + √3/18)]  = 5/[ 4(0.125 + 0.09622)] = 5/(0.88489)  ⇒5.65 m perimeter of the triangle                  

and (10 - x) = 4.35 = perimeter of square

And  

A(5.65) = [4.35/4]² +  (√3/36)(5.65)²

             = 1.1827 from the square+1.5358 from the triangle

             =  2.719m² total area = Minimum area

⇒ On rounding off it will be 2.72m²

Hence the maximum and the minimum areas are 6.25m² and 2.72m²

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Disclaimer: The question was given incomplete on the portal. Here is the complete question.

Questions:  A piece of wire 10m long is cut into two pieces. one piece is bent into a square and the other is bent into an equilateral triangle. How should the wire be cut so that the total area enclosed is a. a maximum? b. minimum?

Answer:

maybe 90%?

Step-by-step explanation:

if im wrong im sorry

Answer:

90%

Step-by-step explanation:

\(\frac{18}{20} :\frac{y}{100}\)

y × 20 = 18 × 100

20y = 1800

20y ÷ 20 = 1800 ÷ 20

y = 90

Answer:

a question with a single correct answer: non statistical

data that consists of numbers: numerical

a question that can have a variety of answers: statistical

Step-by-step explanation:

-

The expected winning is $2.

To calculate the expected winning, we need to find the probability of each outcome and multiply it by the amount we will win in that outcome.

There are 2 possible outcomes for each coin flip: heads or tails. Therefore, there are 2x2x2=8 possible outcomes for flipping a coin three times.

Here are all the possible outcomes with the number of heads in each outcome:

The probability of each outcome can be calculated using the formula: probability = (number of favorable outcomes) / (total number of possible outcomes)

For example, the probability of getting 3 heads (HHH) is 1/8 because there is only one favorable outcome out of 8 possible outcomes.

Using this formula, we can calculate the probability and expected winning for each outcome:

To calculate the overall expected winning, we need to add up the expected winning for each outcome multiplied by its probability:

(1/8) x $6 + (1/4) x $4 + (1/4) x $4 + (1/4) x $4 + (3/8) x $2 + (3/8) x $2 + (3/8) x $2 + (1/8) x $0 = $2

Therefore, the expected winning is $2.

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Natural systems involve many variables with complex interactions.

Natural systems refer to the complex and interconnected systems found in nature, such as ecosystems, climate systems, biological organisms, and geological processes. These systems involve numerous variables, which are factors or elements that can influence or be influenced by the system.

In natural systems, multiple variables interact with each other in intricate ways. These interactions can be direct or indirect, linear or nonlinear, and can occur across different spatial and temporal scales. The behavior and outcomes of natural systems are often emergent properties resulting from the interactions among these variables.

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Natural systems, particularly biological systems, involve many variables with complex interactions. These interactions among various components of the system result in complex behaviors and properties. Despite the complexity, these systems can be understood through scientific studies.

Natural systems such as biological systems involve many variables with complex interactions. An example can be seen in ecosystems, where the interactions among various species and their environment result in complex and diverse outcomes. It's important to understand that all biological systems, from cells and organisms to populations, communities, and ecosystems are affected by intricate biotic and abiotic interactions. These interactions involve exchange of matter and free energy, often leading to complex properties.

Despite the complexity, these systems and their interactions can be studied through a combination of theoretical predictions and experimental studies. With a vast multitude of variables, the behavior of a biological system might not always adhere to many scientific hypotheses or provide absolute proof, however, they provide a valid approach to understand the structure, function, and dynamics of an ecosystem.

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\(\fbox{7.07...}\)

First, we need the square of both numbers (8 and 18)

square of 8:

\(\sqrt{8}\)

\(=2.828\)

square of 18:

\(\sqrt{18}\)

\(=4.242\)

Now, let's add both numbers:

\(2.828+4.242\)

\(=7.07\)

Answer:

c:2 and 3

Step-by-step explanation:

they are the same shape, but in different positions. hope that helps.

Answer: True

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

If the function f(x) = \(x^2\), then the function g(x) = \(-x^2-2\)

From the given graph

The function is

f(x) = \(x^2\)

The function is the rule the shows the relationship between one variable and another variable. If one variable is independent variable and another variable will be dependent variable. We can also says that the it show the relationship between input and output of the function

We can see that the function g(x) is the reflection of the function f(x) at y = -2

The reflection of f(x) = - f(x)

= - \(x^2\)

The reflection of f(x) at y = -2 is

f(x) =  \(-x^2-2\)

Then the function g(x) = \(-x^2-2\)

Hence, If the function f(x) = \(x^2\), then the function g(x) = \(-x^2-2\)

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Answer:

x=3 or greater

Step-by-step explanation:

Answer: x > 2

Step-by-step explanation: so on a number line 2 should go right to ten ion really know how to eggsplain it lol

To calculate the discharge through the circular channel, we can use Manning's equation, which relates the flow rate (Q) to the channel properties and flow conditions. Manning's equation is given by:

Q = (1/n) * A * R^(2/3) * S^(1/2)

where:

Q is the discharge (flow rate)

n is Manning's coefficient (0.014 in this case)

A is the cross-sectional area of the channel

R is the hydraulic radius of the channel

S is the slope of the channel bed

First, let's calculate the cross-sectional area (A) of the circular channel. The diameter of the channel is given as 6m, so the radius (r) is half of that, which is 3m. Therefore, the area can be calculated as:

A = π * r^2 = π * (3m)^2 = 9π m^2

Next, let's calculate the hydraulic radius (R) of the channel. For a circular channel, the hydraulic radius is equal to half of the diameter, which is:

R = r = 3m

Now, we can calculate the slope (S) of the channel bed. The given slope is 1 in 600, which means for every 600 units of horizontal distance, there is a 1-unit change in vertical distance. Therefore, the slope can be expressed as:

S = 1/600

Finally, we can substitute these values into Manning's equation to calculate the discharge (Q):

Q = (1/0.014) * (9π m^2) * (3m)^(2/3) * (1/600)^(1/2)

Using a calculator, the discharge can be evaluated to get the final result.

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Answer:

Step-by-step explanation:

4x - 9 = 35                   Add 9 to both sides

4x - 9 +9 = 35 + 9        Combine like terms

4x = 44                         Divide both sides by 4

4x/4 = 44/4                  Complete the division

x = 11

The value of I in the obtained inequality is the number of levels that can be played for free.

A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.

In other words, inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.

As per the given,

Set up time + time taken in complete levels ≤ 60

For I number of levels,

5(¹/₆) + 7(¹/₃)I ≤ 60

By comparing the given inequality,

I = number of levels that are played for free.

Hence "The number of levels that can be played for free is the value of I in the resulting inequality".

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Answer: The average speed she was going 16 m/s

Answer:

what comprise horn of africa

Answer:

The answer to the question provided is possibly 2.

Step-by-step explanation:

\( \: \: \: \: \: \: \: \: \: \: \: \: 3y + 77 = 2y + 79 \\ \frac{ - 2y \: \: \: \: \: \: = - 2y}{1y + 77 = 79} \\ \frac{ \: \: \: \: \: \: \: \: - 77 = - 77}{ \frac{1y}{1} = \frac{2}{1} } \\ \\ y = 2\)

Answer:

8 feet

Step-by-step explanation:

5 + 3 = 8

Answer:

Step-by-step explanation: The school of salmon are now 8 feet below the surface. They start at -5 feet and then you subtract 3 more feet which gives you -8 feet. -5-3=8

The present value of receiving $1,354.00 per year forever, with the first payment next year and a discount rate of 15.00%, is approximately $9,026.67.


To calculate the present value of an infinite cash flow, we use the formula: Present Value = Cash Flow / Discount Rate. In this case, the cash flow is $1,354.00 per year, and the discount rate is 15.00%. By plugging these values into the formula, we get Present Value = $1,354.00 / 0.15 = $9,026.67, rounded to two decimal places.

This means that receiving $1,354.00 per year forever has a present value of approximately $9,026.67. The present value represents the worth of the infinite cash flow in today’s dollars, considering the time value of money and the given discount rate.

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Roy's answer of 21/32 is correct, and Tom's answer of 21/8 is incorrect. Roy and Tom are working on a multiplication problem, who claims that 7/4 × 3/8 equals 21/32 Tom coins that the answer is 21/8.

The answer is that Roy is correct, and Tom is incorrect. Roy is correct because:7/4 × 3/8 = (7 × 3)/(4 × 8) = 21/32Thus, Roy's claim is right. Tom's answer of 21/8 is incorrect. To calculate his answer, he has multiplied the numerator and denominator of 7/4 by 3, which is incorrect.

Therefore, the answer in 120 words is Roy's calculation is accurate because when you multiply 7/4 and 3/8, the product will be 21/32 which is correct. On the other hand, Tom's answer of 21/8 is incorrect because he multiplied the numerator and denominator of 7/4 by 3, which led to a wrong calculation.

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Answer:

y = x + 1

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 4, - 3 ) and (x₂, y₂ ) = (7, 8 )

m = \(\frac{8-(-3)}{7-(-4)}\) = \(\frac{8+3}{7+4}\) = \(\frac{11}{11}\) = 1 , then

y = x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (7, 8 ) , then

8 = 7 + c ⇒ c = 8 - 7 = 1

y = x + 1 ← equation of line

Answer:

53˚

Step-by-step explanation:

There are 360 total degrees in a 4-sided shape (You can find the total number of degrees in a polygon by using the formula 180(n – 2) where n is the number of sides).

so we can add up all the degrees and subtract them from 360.

67 + 135 + 105 = 307

360 - 307 = 53

Step-by-step explanation:

When two statements are connected with an 'and,' you have a conjunction.

For conjunctions, both statements must be true for the compound statement to be true.

When the connector between two statements is "or," you have a disjunction. In this case, only one statement in the compound statement needs to be true for the entire compound statement to be true.

it takes Lindiwe's teacher 300 seconds to walk to her classroom and the break is 50 minutes long.

To convert 3 km to meters we multiply by 1000 (since there are 1000 meters in 1 km).

3 km = 3,000 meters

Therefore, Lindiwe walks 3,000 meters from home to school during weekdays.

3.2 To convert 5 minutes to seconds, we multiply by 60 (since there are 60 seconds in 1 minute).

5 minutes = 5 x 60 = 300 seconds

Therefore, it takes Lindiwe's teacher 300 seconds to walk to her classroom.

To find the length of Lindiwe's break, we subtract the start time from the end time:

11:20 - 10:30 = 0:50

The break is 50 minutes long.

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Thomas will have $131.25 in his account at the end of 5 years, considering a simple interest rate of 5 percent on his initial investment of $105.

Simple interest is calculated based on the initial amount of money invested, known as the principal, and the interest rate. The formula for calculating simple interest is:

Interest = Principal × Rate × Time

Where:

Principal is the initial amount of money invested.

Rate is the interest rate, expressed as a decimal.

Time is the duration of the investment in years.

In this case, Thomas has invested $105, and the interest rate is 5 percent, which can be written as 0.05 in decimal form. The time period is 5 years. Let's substitute these values into the formula to calculate the interest earned:

Interest = $105 × 0.05 × 5

= $26.25

The interest earned over 5 years is $26.25. To determine the total amount of money Thomas will have at the end of 5 years, we need to add the interest to the initial investment:

Total amount = Principal + Interest

= $105 + $26.25

= $131.25

Therefore, at the end of 5 years, Thomas will have a total of $131.25 in his account.

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Answer:

7 (1-6)

Step-by-step explanation:

you find the greatest common factor of 7 and 42.

7

7x1

42

1x42

2x21

3x14

6x7

The final number remaining in this sequence is the number 2.

We start with the first 300 natural numbers written in ascending order. We remove the numbers at odd places, which means we remove all the numbers at positions 1, 3, 5, and so on.

After the first removal, we are left with the numbers at even positions: 2, 4, 6, and so on.

Now, we repeat the process and remove the numbers at odd positions again. We remove numbers at positions 1, 3, 5, and so on from the remaining sequence.

After the second removal, we are left with the numbers at even positions again: 4, 8, 12, and so on.

We can observe that in each removal, the sequence reduces to half its size, and we are left with the numbers at even positions.

Continuing this process, we will eventually reach a point where we have only one number left.

Since we start with 300 numbers, after the first removal, we have 150 numbers. After the second removal, we have 75 numbers. After the third removal, we have 38 numbers. After the fourth removal, we have 19 numbers. After the fifth removal, we have 10 numbers. After the sixth removal, we have 5 numbers. After the seventh removal, we have 3 numbers. After the eighth removal, we have 2 numbers. Finally, after the ninth and last removal, we are left with a single number.

Therefore, the final number remaining in this sequence is the number 2.

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Nikola took 2 hours to finish the swimming part

Nikola took 4.5 hours to finish the running part

A form of arithmetic in which the rules of arithmetic are used to combine letters that represent numbers.

Calculations:

Assume,

\(t=time\;in\;hrs\;to\;complete\;swimming\;part\)

\(6.5-t=time\;in\;hrs\;to\;complete\;running\;part\)

\(d=distance\;in\;km\;that\;he\;swam\)

\(73.5-d=distance\;in\;km\;that\;he\;ran\)

Equation of swimming part,

\(d=3t\)

Equation of running part.

\(73.5-d=15\times(6.5-t)\)

Substitute the value of d in running part equation,

\(73.5-3t=15\times(6.5-t)\)

\(73.5-3t=97.5-15t\)

\(12t=24\)

Therefore,

\(t=2\)

\(Time\;to\;complete\;summing\;part=t\)

\(Time\;to\;complete\;summing\;part=2\;hours\)

\(Time\;to\;complete\;summing\;part=6.5-t\)

\(Time\;to\;complete\;summing\;part=6.5-2\)

\(Time\;to\;complete\;summing\;part=4.5\;hours\)

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