Write a function rule to represent the situation.
The amount y of your friend's allowance if the amount she receives is $3 more than the amount x you receive.

Answer:

19/6

Step-by-step explanation:

1 2/3= 5/3 = 10/6

1.5= 3/2= 9/6

10/6+9/6=19/6

Answer:

2 nonreal solutions

Step-by-step explanation:

given a quadratic equation in standard form

ax² + bx + c = 0 (a ≠ 0 )

then the nature of the roots are determined by the discriminant

b² - 4ac

• if b² - 4ac > 0 then 2 real and irrational solutions

• if b² - 4ac > 0 and a perfect square then 2 real and rational solutions

• if b² - 4ac = 0 then 2 real and equal solutions

• if b² - 4ac < 0 then no real solutions

5x² - 2x + 6 = 0 ← in standard form

with a = 5 , b = - 2 , c = 6

b² - 4ac

= (- 2)² - (4 × 5 × 6)

= 4 - 120

= - 116

since b² - 4ac < 0

then there are 2 nonreal solutions to the equation

Answer:

E, 5:2

Step-by-step explanation:

1:2

1/3 x 30 = 10 .  2/3 x 30 = 20

1:1

1/2 x 30 = 15

3:7

3/10 x 30 = 9  7/10 x 30 = 21

4:1

4/5 x 30 = 24 .  1/5 x 30 = 6

5:2

5/7 x 30 = 21.43 (this is a decimal so it does not work)

The rectangle which should go in position I is rectangle A.

We are given that;

The rectangles A,B,C and D with numbers

Now,

To take the same the number of side

If we take A on 1 place

F will be on second place

And  B will be on 4th place

Therefore, by algebra the answer will be rectangle A.

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The tent with the assumed parameters is tall enough for the sisters to stand up inside.

Assuming a reasonable height for a typical tent, which is around 6 feet, it should be tall enough for both sisters to stand up inside if they are both over 5 feet tall.

In this case, we can imagine the tent as a triangular prism, with the sloping sides forming a right triangle.

Let's call the height of the tent "h," the length of the base "b," and the length of the sloping side "s."

Using the Pythagorean theorem, we can write:

s^2 = h^2 + (b/2)^2

Since we know that each sister is over 5 feet tall, we can set h = 5 feet. We also know that the base of the tent is usually wider than it is tall, so we can assume a reasonable value for b, such as 8 feet.

Substituting these values into the equation above, we get:

s^2 = 5^2 + (8/2)^2

s^2 = 25 + 16

s^2 = 41

Taking the square root of both sides, we get:

s ≈ 6.4 feet

Since this is greater than the height of both sisters (which is 5 feet), we can conclude that the tent is tall enough for them to stand up inside.

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Answer:

8 hour mark

Step-by-step explanation:

Answer:

At 7:00a.m., there were 8 lights on.

P(80 < X < 125) = 0.9525 - 0.0918

P(80 < X < 125) = 0.8607

This means that approximately 86.07% of people have IQ scores between 80 and 125.

To answer this question, we need to calculate the standardized score (also known as z-score) for both 80 and 125:

z-score for 80: (80-100)/15 = -1.33

z-score for 125: (125-100)/15 = 1.67

Once we have the z-scores, we can use a standard normal distribution table or calculator to find the proportion of scores between them. Alternatively, we can use the following formula:

P(80 < X < 125) = P(Z < 1.67) - P(Z < -1.33)

Using a standard normal distribution table or calculator, we can find that P(Z < 1.67) is approximately 0.9525 and P(Z < -1.33) is approximately 0.0918.

Therefore:

P(80 < X < 125) = 0.9525 - 0.0918

P(80 < X < 125) = 0.8607

This means that approximately 86.07% of people have IQ scores between 80 and 125.

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A calendar grid can be drawn with accurate calibration on both the x-axis (horizontal) and y-axis (vertical) by representing the months or days of the week on the x-axis and the dates on the y-axis.

To create a calendar grid with accurate calibration, you can use a traditional monthly calendar layout. The x-axis represents the months or days of the week, while the y-axis represents the dates. For example, on the x-axis, you can label each column with the names of the months or the days of the week (e.g., Monday, Tuesday, etc.). This ensures that the horizontal axis represents the progression of time accurately.

On the y-axis, you can label each row with the corresponding dates for each month. The number of rows depends on the maximum number of days in a month. By using this grid layout, you can accurately represent the passage of time in a calendar format. It allows for easy tracking of dates, scheduling events, and organizing activities.

The calibrated x-axis and y-axis provide a clear visual representation of the chronological sequence of days and months, facilitating effective time management.

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Answer:

- 7y +3 =-25

-7y=-25—3

-7y=-28

-7y÷-7= -28÷-7

y=4

Step-by-step explanation:

Take +3 to the side so that your variable and a constant is on their own sides. When a number goes over the equals sign the sign changes at becomes the inverse that's why l said - 3. You now calculate - 25—3 equals 28 then divide by 7 to find y and your y is 4.

Answer: 5

Step-by-step explanation: You have to multiply 1 2/3 and 3.

I hope this helps you out!

Answer:

5 Cups of Sugar

Step-by-step explanation:

1 * 3 = 3

2/3

2 * 3 = 6

6 / 3 = 2

2 + 3 = 5 Cups

The best function to model this data is a linear function.

We have the data:

x             y

0            -1

1           -0.5

2             0

3           0.5

4               1

From the table, we see that,

The slope of the points are given by:

(- 0.5 + 1) / (1 - 0) = 0.5 / 1 = 0.5

(0 + 0.5) / (2 - 1) = 0.5

(0.5 - 0 ) / (3 - 2) = 0.5

(1 - 0.5) / ( 4 - 3 ) = 0.5

Thus, the equation of the function is, y = 0.5 x - 1

So, the best function for this model is a linear function.

Therefore, we get that, the best function to model this data is a linear function.

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Your question was incomplete. Please refer the content below:

Which kind of function best models the data in the table? use differences or ratios.

x             y

0            -1

1           -0.5

2             0

3           0.5

4               1

a)liner

b)quadratic

c)exponential

d)none of these

0.0041 is closest to the rate at which the area of the forest is increasing, in square kilometers per decade.The correct answer is option D.

To determine the rate at which the area of the forest is increasing in square kilometers per decade, we need to convert acres to square kilometers and decades to years.

First, let's convert 1 square mile to square kilometers:

1 square mile = (1 mile)² = (1.60934 kilometers)² = 2.58999 square kilometers

Next, let's convert 1 acre to square kilometers:

1 acre = (1/640) square mile = (1/640) * 2.58999 square kilometers = 0.00404 square kilometers

Now, we know that the area of the forest is increasing at a rate of 1 acre per decade. So, the rate of increase in square kilometers per year is:

0.00404 square kilometers per decade ÷ 10 years = 0.000404 square kilometers per year

To find the rate in square kilometers per decade, we multiply the rate per year by 10:

0.000404 square kilometers per year × 10 = 0.00404 square kilometers per decade.

Among the given options, the closest rate is option D) 0.0041 square kilometers per decade.

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The variable assigned to strgrade when intscore equals 90 would likely be 'A'.

When the variable intscore equals 90, the corresponding value assigned to the variable strgrade would typically be 'A'. This suggests that a score of 90 is associated with the highest grade achievable in the given context. The specific mapping between integer scores and letter grades may vary depending on the grading system or criteria in place. It is important to note that without further information about the grading scale or specific rules defined within the system, it is difficult to determine the exact value of strgrade assigned to intscore of 90.

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The final answer is:

a) P( Y < 42.5 )  = 0.8541

b) P( 39.5 < Y < 40.5 ) = 0.1670.

What is the normal distribution?

A continuous probability distribution for a real-valued random variable in statistics is known as a normal distribution or Gaussian distribution.

If x follows a normal distribution with mean μ and standard deviation σ then the distribution of

\(\sum_{i =1}^{n}x_{i}\)  follows an approximately normal distribution with a mean \(n\mu\) and standard deviation \(\sqrt{n }\sigma\)

let x be the height of blades of grass

x follows normal distribution with mean = μ = 4 and standard deviation = σ = 0.75.

Y = x1 + x2 +...........+x10

\(Y = \sum_{i =1}^{10}x_{i}\)

Distribution of Y is normal with,

Mean = \(\mu _{y}=10*4 = 40\) and standard deviation \(= \sigma _{y}=\sqrt{10}*0.75 = 2.3717\)

a)

P( Y < 42.5 )

Using normal distribution formmula,

\(f(x)= {\frac{1}{\sigma\sqrt{2\pi}}}e^{- {\frac {1}{2}} (\frac {x-\mu}{\sigma})^2}\)

=NORMDIST( x, mean, SD , 1 )      

=NORMDIST(42.5, 40, 2.3717, 1 )

=0.8541

P( Y < 42.5 )  = 0.8541

b)

P( 39.5 < Y < 40.5 ) = P( Y < 40.5 ) - P( Y < 39.5 )

Using normal distribution formmula,

\(f(x)= {\frac{1}{\sigma\sqrt{2\pi}}}e^{- {\frac {1}{2}} (\frac {x-\mu}{\sigma})^2}\)

P( Y < 40.5 )  =NORMDIST(40.5, 40, 2.3717, 1 ) = 0.5835

P( Y < 39.5 ) = NORMDIST(39.5, 40, 2.3717, 1 ) = 0.4165

P( 39.5 < Y < 40.5 ) = 0.5835 - 0.4165  = 0.1670

P( 39.5 < Y < 40.5 ) = 0.1670

Hence, the final answer is:

a) P( Y < 42.5 )  = 0.8541

b) P( 39.5 < Y < 40.5 ) = 0.1670.

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Step-by-step explanation:

1000ml=1 litre

800 divided by(1000 multiplied by 5)=16%

Answer:

hi

Step-by-step explanation:

um so like i dont kno u so i cant answer

Answer:

oooofffffffffffffffffffff

Step-by-step explanation:

and i oop

and i oop

and i oop

U V U

TRANSLATED UvU

Answer:

864

Step-by-step explanation:

First, you multiply 2 and 6, so it's 12, and multiply it by 144, so it's 1728, and divide it by 2. Therefore, it's 864!

Answer:

\(\frac{1}{2}\)

Step-by-step explanation:

In order to calculate the slope of a line, we must plot two points on the line.

One point will be \((-3,2)\) and another point will be \((1,4)\)

Then use the slope formula to identify the slope of the line.

\(m=\frac{y^1-y^2}{x^1-x^2}\)

\(m=\frac{2-4}{-3-1}\)

\(m=\frac{-2}{-4}\)

\(m=\frac{2}{4}\)

\(m=\frac{1}{2}\)

The slope of the line is \(\frac{1}{2}\)

The approximate doubling time formula is used to estimate how long it takes for a population to double based on its growth rate. This formula works well under certain conditions.

Firstly, the population must be growing at a constant rate. Secondly, the growth rate must be exponential, which means that it is proportional to the current population size. Finally, the time period under consideration must be sufficiently short such that other factors that may influence population growth are negligible.

The approximate doubling time formula can be expressed as T = (ln 2) / r, where T is the doubling time, ln is the natural logarithm, and r is the growth rate. This formula estimates the time it takes for a population to double in size under constant exponential growth. This formula is useful for rapidly growing populations and can be used to make projections for future population sizes.
For example, the formula assumes that the population is growing constantly and that the growth rate is proportional to the population size. The formula may not be accurate if the population growth rate changes or is affected by external factors such as migration, disease, or natural disasters.
Thus, the approximate doubling time formula is a useful tool for estimating how long it takes for a population to double under constant exponential growth. This formula works well when the population is growing constantly, the growth rate is proportional to the population size, and the time period under consideration is sufficiently short.

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Answer:

x = 7.5

Step-by-step explanation:

\( \frac{6}{15} = \frac{3}{x} \)

cross multiply expressions

6x = 45 divide both sides by 6

x = 7.5

Answer:

y=-2x+5

Step-by-step explanation:

This is my last one for today hahaha. Good luck on the rest.

Answer:

Answer in the attached image.

The velocity of the ball thrown by your friend is approximately 4.17 meters per second.

To ascertain the speed of the ball, we want to utilize the condition of movement that relates distance, time, and speed increase. For this situation, we expect that the ball goes in an orderly fashion, and its speed increase is because of the power applied by your companion's toss. We can utilize the recipe:

distance = speed x time

We realize that the distance among you and your companion is 5 meters, and the time taken for the ball to travel that distance is 1.2 seconds. Hence, we can revise the equation to tackle for the speed:

speed = distance/time

Subbing the qualities, we get:

speed = 5/1.2 = 4.17 meters each second (approx.)

So the speed of the ball tossed by your companion is around 4.17 meters each second.

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Hector and Gabrielle will have $638.45 in their savings account after two years of earning 13% interest compounded annually. They will be able to spend up to this amount on their trip.

To solve this problem, we need to use the formula for compound interest:

A = \(P(1 + r/n)^{(nt)\)

where:

A = the final amount

P = the initial deposit

r = the annual interest rate as a decimal

n = the number of times interest is compounded per year

t = the time in years

In this case, we have:

P = $500.00

r = 13% = 0.13 (as a decimal)

n = 1 (compounded annually)

t = 2 years

So, we can plug these values into the formula:

A = $500.00(1 + 0.13/1)²

A = $500.00(1.13)²

A = $500.00(1.2769)

A = $638.45

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Answer:

Natalie bought 500 apples at $0.40 each, then she pays $0.40 500 times, this means that the total cost of the 500 apples is:

Cost = 500*$0.40 = $200

Now she threw away n apples from the 500 apples, then the number of apples that she has now is:

apples = 500 - n

And she sells the remaining apples for $0.70 each.

a) The amount that she gets by selling the apples is:

Revenue = (500 - n)*$0.70

b) We know that she did not make a loss, then the revenue must be larger than the cost, this means that:

cost ≤ revenue

$200 ≤ (500 - n)*$0.70

c) We need to solve the inequality for n.

$200 ≤ (500 - n)*$0.70

$200/$0.70 ≤ (500 - n)

285.7  ≤ 500 - n

n + 285.7 ≤ 500

n ≤ 500 - 285.7

n ≤ 214.3

Then the maximum value of n must be equal or smaller than 214.3

And n is a whole number, then we can conclude that the maximum number of rotten apples can be 214.

Step-by-step explanation:

all you have to doe is type Ex:4 into the calculator and you should get your answer.

Answer:

Because the angle opposite the angle's head equals 70 when combined with the angle of 110, the two angles become complementary and form something like the letter U, so the two lines are parallel.

84% of the population does not use a car daily.

We have,

Let's assume the population size is 100 for easier calculations.

40% of the population has a car, which means 40 people have a car.

Out of those who have a car, 2/5 use it daily.

So, 2/5 of 40 people use it daily, which is (2/5) x 40 = 16 people.

The percentage of the population that does not use it daily can be calculated as follows:

Total population - Number of people using it daily

= 100 - 16

= 84 people.

Therefore,

84% of the population does not use a car daily.

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This value represents the greatest distance between the particle and the origin during the time interval [0, 3].

To find the greatest distance between the particle and the origin during the time interval [0, 3], we need to find the position function of the particle, differentiate it to find the velocity function and analyze the critical points.

Let x(t) be the position function of the particle. Unfortunately, you haven't provided the specific position function, so I will use a generic one: x(t) = at^3 + bt^2 + ct + d. You'll need to substitute your given function here.

Step 1: Find the velocity function by differentiating the position function with respect to time:
v(t) = dx(t)/dt = 3at^2 + 2bt + c

Step 2: Find the critical points by setting the velocity function equal to zero and solving for t:
0 = 3at^2 + 2bt + c      
   
Step 3: Analyze the critical points and endpoints of the given interval [0, 3] by plugging them into the position function x(t):
x(0), x(t1), x(t2), and x(3) (where t1 and t2 are the critical points found in step 2)

Step 4: Determine which of these values corresponds to the greatest distance from the origin. Remember that distance is always positive, so take the absolute value of the positions if necessary.

The answer will be the largest absolute value among the positions x(0), x(t1), x(t2), and x(3). This value represents the greatest distance between the particle and the origin during the time interval [0, 3].

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