\(\frac{2}{11} =\frac{r}{13}?\)

The recursive rule for the number of acres at the beginning of the nth day in a forest fire that grows by 20% each day and is battled by firefighters who can put out 15 acres per day is given by: A(n) = 1.2 * A(n-1) - 15, where A(n) represents the number of acres at the beginning of the nth day. Using this rule, we can calculate that there are 89.6 acres burning at the beginning of the 8th day.

Explanation: To determine the recursive rule for the number of acres at the beginning of the nth day, we need to consider the given information. The forest fire initially covers 60 acres and grows by 20% each day. This means that the number of acres at the beginning of the next day (n+1) is 1.2 times the number of acres at the beginning of the current day (n). However, the firefighters are able to put out 15 acres of fire per day.

Therefore, to calculate A(n), we start with the initial number of acres, which is 60, and apply the recursive rule. A(n) = 1.2 * A(n-1) - 15. This formula takes into account the growth of the fire by 20% and the reduction of 15 acres due to the firefighters' efforts. By substituting the values, we can calculate the number of acres at the beginning of each day.

To find the number of acres burning at the 8th day, we substitute n = 8 into the recursive rule. A(8) = 1.2 * A(7) - 15. We need to determine A(7) first by substituting n = 7, and so on, until we reach the initial value A(1) = 60. Once we have calculated A(8), we can determine that there are 89.6 acres burning at the beginning of the 8th day

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Answer:

#1  parallel

#2 parallel

#3 perpendicular

Step-by-step explanation:

Lines parallel have the same slope 1 and 2 have same slope of -5/3

3 is perpendicular:  slope is 3/5 ( slope of any line perpendicular to a line with slope m is negative reciprocal )

Answer:

you can eat this samosa then you will got answer

Answer:

The area.

Step-by-step explanation:

The circumference would only cover an outline of the floor. Hope this helps!

To calculate the interest savings, we need to find the difference in the amount of interest paid between the two credit cards.

For the first credit card with an APR of 18.7% compounded monthly, the annual interest can be calculated as follows:

Annual interest = Balance * (APR/100)

= $1200 * (18.7/100)

= $224.40

For the second credit card with an APR of 12.5% compounded monthly, the annual interest can be calculated as follows:

Annual interest = Balance * (APR/100)

= $1200 * (12.5/100)

= $150.00

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Answer:

a) 40 inches

b) No it will not fit inside

Step-by-step explanation:

Angharad is buying a new 50-inch screen TV (remember that TV screens are measured along the diagonal )

a) If it is 30 inches tall, how wide is the screen ?

Diagonal ² = Width² + Height²

Diagonal = 50 inches

Height = 30 inches

50² = Width² + 30²

Width² = 50² - 30²

Width = √50² - 30²

Width = √(1600)

Width = 40 inches

b) Her TV cabinet is 30 inches wide .will the TV fit inside it ?

No it will not fit inside

This is because, the width of the TV is the above calculation is 40 inches. This is wider than the width of the TV cabinet, hence, it won't fit inside

Answer:

Step-by-step explanation:

if Charles bought the sneakers for 6.30 and wants to re-sell them with 40% more,

first lets see how much is 40% of 6.30

(6.30*40)/100=2.52

he will resell the shoes with

6.30+2.52=8.82

Answer:

$\(8.82\)

Step-by-step explanation:

\(6.30 + 0.4\times6.30 = 8.82\)

\(\therefore\) Charles will sell the sneakers at a price of $\(8.82\)

Hope this helps :)

Answer:

Table 1

Step-by-step explanation:

Constant of proportionality is simply the ratio of y to x. In each of the given tables, the second column is y and the first is x.

Table 1:

4       32/5

10      16

11       88/5

Let's find the constant of proportionality for each row:

R1: (32/5) / 4 = 8/5

R2: 16/10 = 8/5

R3: (88/5) / 11 = 8/5

Thus, since this matches the requirements and all three rows have the same constant, Table 1 is the answer.

If you check the other two tables in the same way, you'll see that neither has a constant of proportionality of 8/5.

Hope this helps!

Answer:

Table 1

Step-by-step explanation:

I just did it on Khan Academy

On a circle with a radius of 4 and center at (0, 0), to find the x and y coordinates at an angle of 180 degrees (or π in radian measure), we can use the trigonometric functions.

At 180 degrees, the x-coordinate will be 0, as it lies on the y-axis. The y-coordinate can be found by using the sine function.  Using the equation y = r * sin(θ), where r is the radius and θ is the angle in radians, we can substitute the values. In this case, r is 4 and θ is π (since 180 degrees equals π radians).

Therefore, the x-coordinate is 0 and the y-coordinate is 4 * sin(π) = 0. So, the x-coordinate is 0 and the y-coordinate is also 0.
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There are 16 people who share the worm.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

In this illustration, Vince brought 6 boxes of worms to use as bait while fishing with his friends if each person uses exactly 3 8ths of a box of worms

The number of people who shared the works will be:

= Number of worms / Amount collected by each person

= 6 ÷ 3/8

= 6 × 8/3

= 16

In conclusion, 16 people shared it.

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Fruit punch is served during the reception in 154-ounce cups using division.

Repetitive subtraction is the process of division. It is the multiplication operation's opposite. It is described as the process of creating equitable groupings. When dividing numbers, we divide a bigger number down into smaller ones such that the larger number obtained will be equal to the multiplication of the smaller numbers.

For instance, 4 2 Equals 2. As a multiplication fact, this can be expressed as 2 + 2 = 4.

The division is represented mathematically by a symbol consisting of a tiny horizontal line with dots above and below the line. The division of two integers is represented by one of two fundamental division symbols.

Total fruit punch foe prepared = 3696 ounces

Number of punch balls = 4

Each serving has = 6 ounces of punch

So, 4 servings will have

4 × 6 = 24

The number of servings of fruit punch available at reception is given by

3696÷24

= 154

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The x-intercepts of a quadratic function are the points where the function graph intersects the x-axis. To find the x-intercepts of the given quadratic function, we need to determine the values of x when the y-value (or the function value) is equal to 0.

From the given information, we can see that the quadratic function passes through the points (-2, 0) and (1, 0), which indicates that the function intersects the x-axis at x = -2 and x = 1. Therefore, the quadratic function x-intercepts are (-2, 0) and (1, 0).

The correct answers are (d) (-2, 0) and (1, 0).

The statistical method that would help determine if the fertilizer was effective is a Hypothesis test.

A hypothesis test is a statistical method that helps in determining whether a particular claim or assumption about a population is true.

In this case, the farmer wants to know if the new fertilizer is effective in increasing his corn crop yield. Therefore, the farmer can set up a hypothesis test, where the null hypothesis is that the new fertilizer has no effect on the corn crop yield, and the alternative hypothesis is that the new fertilizer does have an effect on the corn crop yield.

The farmer can then collect data from the corn crop yield with and without the new fertilizer, and use statistical analysis to determine if there is a significant difference between the two. If there is a significant difference, the farmer can reject the null hypothesis and conclude that the new fertilizer is effective.

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Answer:

2.88%

Step-by-step explanation:

This gives us a pair of simple equations:

100% = 520(1)

x% = 15(2)

By simply dividing equation 1 by equation 2 and taking note of the fact that both of equations have the same unit (%); we have  

\(\frac{100}{x} =\frac{520}{15}\)

Taking the inverse (or reciprocal) of both sides yields

\(\frac{x}{100} =\frac{15}{520}\)

-> x = 2.88%

Therefore, 15 is 2.88% of 520

Answer:

a) x = 1.5 or x = -0.3

b) x = 5 or x = -8

Explanation:

Quadratic formula:

\(\sf x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \quad when \:\: ax^2 + bx + c = 0\)

Here given equation: 5x² - 6x  - 2 = 0

Identify variable constants: a = 5, b = -6, c = -2

Putting these values into equation:

\(\sf x = \dfrac{ -(-6) \pm \sqrt{(-6)^2 - 4(5)(-2)}}{2(5)}\)

\(\sf x = \dfrac{ 6 \pm \sqrt{36 + 40}}{10}\)

\(\sf x = \dfrac{ 6 \pm \sqrt{76}}{10}\)

\(\sf x = \dfrac{ 3\pm \sqrt{76}}{5}\)

\(\sf x = \dfrac{ 3+ \sqrt{76}}{5} \quad or \quad \dfrac{ 3- \sqrt{76}}{5}\)

In one decimal point:

\(\sf x = 1.5 \quad or \quad -0.3\)

b) Here use "middle term split" method

⇒ x² + 3x = 40

relocate

⇒ x² + 3x - 40 = 0

The factors of 40 are 8 and 5

⇒ x² + 8x - 5x - 40 = 0

factor common terms

⇒ x(x + 8) - 5(x + 8) = 0

collect into groups

⇒ (x - 5)(x + 8) = 0

set to zero

⇒ x - 5 = 0 or x + 8 = 0

relocate

⇒ x = 5 or x = -8

Step-by-step explanation:

a) The quadratic formula can help find answers to a quadratic equation when it is equal to 0. The formula is \(x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\) for a quadratic equation of the form \(ax^2+bx+c=0\).

In this question, a is 5, b is -6, and c is -2. Let's put them in the equation and solve.

\(x=\frac{6\pm\sqrt{(-6)^2-4(5)(-2)}}{2(5)}\\x=\frac{6\pm\sqrt{36+40}}{10}\\x=\frac{6\pm\sqrt{76}}{10}\\x=\frac{6\pm2\sqrt{19}}{10}\\x=\frac{3\pm\sqrt{19}}{5}\)

This means that the value of x is both \(\frac{3+\sqrt{19}}5\) and \(\frac{3-\sqrt{19}}5\), since both values make x equal to 0. Putting both into the calculator, we get that \(x=1.5\) or \(x=-0.3\).

b) We can easily solve this equation using factoring, which turns a quadratic into two factors, and finds the solutions by setting both to 0. This will only work if the quadratic is equal to 0.

\(x^2+3x-40=0\)

Now, we have to find two numbers that add to 3 and multiply to -40. The numbers 8 and -5 work, as 8-5=3 and 8*-5 is -40.

we can now make our factors x+8 and x-5

\((x+8)(x-5)=0\)

If two numbers, say A and B, are being multiplied and equal 0, then either A is 0, or b is 0, or both. Similarly, if x+8 and x-5 are being multiplied and equal 0, either x+8 = 0, or x-5=0.

\(x+8=0\\x=-8\)    \(x-5=0\\x=5\)

This makes our solutions x=-8 and x=5.

If you are not familiar with factoring or the process I have went through above, I highly recommend learning about it.

To find the point on the line 3x + y = 4 that is closest to the point (-3, 1), we can use the concept of perpendicular distance.

First, let's express the equation of the given line in slope-intercept form (y = mx + b):

y = -3x + 4

Now, we can consider a perpendicular line passing through the point (-3, 1). The slope of the perpendicular line will be the negative reciprocal of the slope of the given line, which is 1/3.

Using the point-slope form of a line (y - y1 = m(x - x1)), we can write the equation of the perpendicular line:

y - 1 = (1/3)(x + 3)

y - 1 = (1/3)x + 1

y = (1/3)x + 2

To find the intersection point of the two lines, we can solve the system of equations:

y = -3x + 4

y = (1/3)x + 2

By equating the two equations, we get:

-3x + 4 = (1/3)x + 2

Simplifying the equation:

-3x - (1/3)x = 2 - 4

-10/3 x = -2

x = 6/5

Substituting the value of x back into either equation, we find:

y = -3(6/5) + 4

y = -18/5 + 20/5

y = 2/5

Therefore, the point on the line 3x + y = 4 closest to the point (-3, 1) is (6/5, 2/5).

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Answer:

x= 4, 3

The choose (d)

Step-by-step explanation:

x²+12=7x

x²-7x+12=0

(x-3)(x-4)=0

x=3

or x=4

Answer:

D

Step-by-step explanation:

on edge

The pound is an English unit of measure, primarily used for weight. Its SI counterpart is the kilogram. The kilogram is the base unit of mass in the International System of Units (SI). It is defined as the mass of the International Prototype of the Kilogram (IPK), a platinum-iridium cylinder kept at the International Bureau of Weights and Measures (BIPM) in France.

Unlike the pound, which can vary in its exact weight depending on the context, the kilogram is a standardized unit. This means that one kilogram is always equal to 1000 grams. The SI system is used internationally and provides a consistent and uniform way to measure mass.

For example, if you have a 5-pound bag of flour and want to know its weight in kilograms, you would convert it by dividing the pounds by 2.2046, since 1 pound is approximately 0.4536 kilograms. In this case, the 5-pound bag of flour would be approximately 2.2679 kilograms.

In summary, while the pound is an English unit of measure for weight, its SI counterpart is the kilogram. The kilogram is the base unit of mass in the SI system and provides a standardized and internationally recognized way to measure mass.

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The probability will be b) 4/(52 13)

In a standard deck, there are four suits (hearts, diamonds, clubs, and spades), each containing 13 cards. To find the probability of obtaining a bridge hand with all 13 cards of the same suit, we need to determine the number of favorable outcomes (hands with all 13 cards of the same suit) and divide it by the total number of possible outcomes (all possible bridge hands).

Calculate the number of favorable outcomes

There are four suits, so for each suit, we can choose 13 cards out of 13 in that suit. Therefore, there is only one favorable outcome for each suit.

Calculate the total number of possible outcomes

To determine the total number of possible bridge hands, we need to calculate the number of ways to choose 13 cards out of 52. This can be represented as "52 choose 13" or (52 13) using the combination formula.

Calculate the probability

The probability is given by the ratio of the number of favorable outcomes to the total number of possible outcomes. Since there is one favorable outcome for each suit and a total of 4 suits, the probability is 4 divided by the total number of possible outcomes.

Therefore, the probability that a bridge hand will contain all 13 cards of the same suit is 4/(52 13).

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Answer:

1. Wooden spoons

2. kitchen shears

3.cutting board

4. measuring spoons

5. measuring cups

6. Rubber spatulas

7. whisk

8. rotary beater

9. whisk

10. colander

Answer:

J

Step-by-step explanation:

dude trust me

Answer:

the answer is 2.620

Step-by-step explanation:

the way u will get this is at the top there pattern is adding the bottom they are subtracting 2

Answer:

Yes

Step-by-step explanation:

We don't  even have to do a calculation.  

The arch of the bridge is at point C.

The top of the yacht's mast is at E.

Even though the yacht is much closer to the water's edge, its mast has a much smaller angle of elevation.

The yacht can easily pass under the bridge.

Answer: wait I was wrong I saw thinking about something else

yes that is a unit rate.

Answer:

Yes

Step-by-step explanation:

A unit rate always has 1 as the second value, in this case 1 hour.

Answer:

Step-by-step explanation:

Answer: 6

there are 24 fish and 4 tanks so divide 24 by 4 and you'll have 6

Answer:

the number of fish in each tank is 6

Step-by-step explanation:

becuause 24 divided be 4 is 6

Answer:

It's answer is....abkt

Step-by-step explanation:

It's simple add all and there will be your answer

1.  The disease is Autosomal Recessive.

2. The probability that II-2 is a carrier is 2/3.

3. The probability that II-4 is a carrier is 2/3.

4. The probability that III-3 is a carrier is 1/3.

5. The male is phenotypically normal (homozygous recessive).

6. This is because III-1 is phenotypically normal (homozygous recessive) and does not carry the disease allele.

7. The diseases exhibiting this mode of inheritance include sickle cell anemia, cystic fibrosis, and Tay-Sachs disease.

The following is the solution to the given problem which includes the terms "inheritance" and "probability":

1. The most likely mode of inheritance for Pedigree 4 is Autosomal Recessive. In the given Pedigree, only the individuals II-3 and II-5 were affected while the individuals II-2 and II-4 were carriers, which suggests that the disease is Autosomal Recessive.

2. The probability that II-2 is a carrier is 2/3.Since II-2 has two heterozygous parents (II-4 and II-5) who are carriers, the probability that II-2 is a carrier is 2/3.

3. The probability that II-4 is a carrier is 2/3.

Since II-4 has two heterozygous parents (II-6 and II-7) who are carriers, the probability that II-4 is a carrier is 2/3.

4. The probability that III-3 is a carrier is 1/3.Since III-3 has one carrier parent (II-2) and one normal parent (II-1), the probability that III-3 is a carrier is 1/3.

5. The probability that III-3's child will be affected is 1/4.If III-3 marries a phenotypically normal male, the probability that their child would be affected is 1/4. This is because III-3 is a carrier (heterozygous) and the male is phenotypically normal (homozygous recessive).

6. The probability that III-1's child will be affected is 0.If III-1 marries a genotypically and phenotypically normal female, the probability that their child would be affected is 0. This is because III-1 is phenotypically normal (homozygous recessive) and does not carry the disease allele.

7. Examples of diseases exhibiting this mode of inheritance include sickle cell anemia, cystic fibrosis, and Tay-Sachs disease.

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Answer:

Step-by-step explanation:

Ten go ceiba when we go high school get gud

All of the following are measures of central tendency except the range.

The range is a measure of dispersion, representing the difference between the largest and smallest values in a dataset. It provides information about the spread or variability of the data but does not provide information about the central tendency.

On the other hand, measures of central tendency are statistical measures that aim to summarize the center or typical value of a dataset. They include the mode, median, and mean.

The mode represents the most frequently occurring value(s) in the dataset.

The median is the middle value when the data is arranged in ascending or descending order. It divides the dataset into two equal halves.

The mean is the arithmetic average of all the values in the dataset. It is calculated by summing all the values and dividing by the total number of values.

Therefore, option C, range, is not a measure of central tendency as it focuses on the spread or dispersion of the data rather than summarizing the central or typical value.

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