7. Compute S2 S3/2 xy2 dydx.

Answer: m=-14

Step-by-step explanation: Use the slope-intercept form y=mx+b to find the slope m.

Graph down below.

I hope this helps you out. If not, I am so sorry.

Answer:

d=2_f - 9h_f

Step-by-step explanation:

es la segunda opción

Answer:

the thalia age be 19 years

Step-by-step explanation:

Let us assume her brother age be x

Now the thalia age be x - 3

Now the equation would be

x + x - 3 = 41

2x = 41 + 3

2x = 44

x = 22

thalia age be

= 22 - 3

= 19

Hence, the thalia age be 19 years

And, her brother age be 22 years

The same is to be considered

Answer:

x=-3

Step-by-step explanation:

we can fill the y into the first equation since we already know what it is equal to

5x+4(1-x)=1

5x+4-4x=1

x+4=1

  -4. -4

x=-3

Hopes this helps please mark brainliest

Answer:

5x + 4y = 1

Answer: x = 1/5 - 4y/5

y = 1 - x

Answer: x = −y + 1

Step-by-step explanation:

Please give the brainliest, really appreciated.

Answer:

base = 6.8 in

Step-by-step explanation:

area of triangle = 1/2 base height

where height = 4.4 in

              area = 14.96 in²

plugin values into the formula

14.96 = 1/2 base (4.4)

base = 14.96 (2)

               4.4

base = 6.8 in

The total profit made by the company over the course of its first 24 years of operation is $10,016,640

Given,

The annual profit made by a company in first year = $111,000

The increase in profit per year = 24% = $26640

We have to find the total profit made by the company over the course of its first 24 years of operation

Lets take this as an arithmetic progression.

First term, a = 111,000

Common difference, d = 26640

nth term = 24

Sum of nth term,

Sₙ = n/2 [2a + (n - 1) d]

S₂₄ = 24/2 [2 × 111,000 + (24 -1) 26640]

S₂₄ = 12 [222,000 + 23 × 26640]

S₂₄ = 12 [222,000 + 612,720]

S₂₄ = 12 × 834,720

S₂₄ = 10,016,640

That is,

The total profit made by the company over the course of its first 24 years of operation is $10,016,640

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Answer:

Yes.

Step-by-step explanation:

A fourth degree function is defined as a function with a multiplicity of four. This can be done with any number distinct roots less than or equal to four. If the three distinct roots given must be the only roots, we can choose any of the roots to square and make the function a fourth degree polynomial. Otherwise, we can add another root to make a fourth degree polynomial. Either way, it's possible.

The ratio of bears:beans: buttons in the simplest form is 7:3:2

Mathematicians use the term "ratio" to compare two or more numbers. It serves as a comparison tool to show how big or tiny an amount is in relation to another.

Weight of sweet bag = 120g

Cost of a sweet bag = 0.89 euros

Number of gummy bears = 14

Number of jelly beans = 6

Number of chocolate buttons = 4

The ratio of bears:beans:buttons = 14:6:4

Dividing the ratio by 2 throughout we get:

Ratio of bears:beans:buttons = 7:3:2

So, In its simplest form, the ratio of bears to beans to buttons is 7:3:2.

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Answer:

Step-by-step explanation:

Let's solve your system by substitution.

2x+3y=15;x+y=6

Rewrite equations:

x+y=6;2x+3y=15

Step: Solvex+y=6for x:

x+y=6

x+y+−y=6+−y(Add -y to both sides)

x=−y+6

Step: Substitute−y+6forxin2x+3y=15:

2x+3y=15

2(−y+6)+3y=15

y+12=15(Simplify both sides of the equation)

y+12+−12=15+−12(Add -12 to both sides)

y=3

Step: Substitute3foryinx=−y+6:

x=−y+6

x=−3+6

x=3(Simplify both sides of the equation)

Answer:

x=3 and y=3

Answer:

x = 3, y = 3

Step-by-step explanation:

Given the 2 equations

2x + 3y = 15 → (1)

x + y = 6 → (2)

Multiplying 2) by - 2 and adding to (1) will eliminate x

- 2x - 2y = - 6 → (3)

Add (1) and (3) term by term to eliminate x

y = 3

Substitute y = 3 into either of the 2 equations and solve for x

Substituting into (1)

2x + 3(3) = 15

2x + 9 = 15 ( subtract 9 from both sides )

2x = 6 ( divide both sides by 2 )

x = 3

By mathematical induction, we have proved that for any positive integer n, 4 evenly divides 11n - 7n.

WHat is Divisibility?

Divisibility is a mathematical property that describes whether one number can be divided evenly by another number without leaving a remainder. If a number is divisible by another number, it means that the division process results in a whole number without any remainder. For example, 15 is divisible by 3

To prove that 4 evenly divides 11n - 7n for any positive integer n, we can use mathematical induction.

Base Case:

When n = 1, 11n - 7n = 11(1) - 7(1) = 4, which is divisible by 4.

Inductive Step:

Assume that 4 evenly divides 11n - 7n for some positive integer k, i.e., 11k - 7k is divisible by 4.

We need to prove that 4 evenly divides 11(k+1) - 7(k+1), which is (11k + 11) - (7k + 7) = (11k - 7k) + (11 - 7) = 4k + 4.

Since 4 evenly divides 4k, and 4 evenly divides 4, it follows that 4 evenly divides 4k + 4.

By mathematical induction, we have proved that for any positive integer n, 4 evenly divides 11n - 7n.

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Slope is 1/2. I’m here getting points lol

Answer:

7.9%

Step-by-step explanation:

The formula is P=x time 100, divided by y

the x is $0.25

the y is $3.15

0.25x100=25

25/3.15=7.936

rounded to the tenths place it's 7.9

Speed is the ratio of distance and time.

It shows how fast an object is moving at a given time.

The rate of change of the distance below the sea level with respect to time is 11 feet per second.

Speed is the ratio of distance and time.

It shows how fast an object is moving at a given time.

We have,

The table has a linear relationship.

We can choose two data from the table.

At time = 15,

Distance below the sea level = 545 feet.

At time = 27,

Distance between the sea level = 677

Now,

The rate of change of the distance below the sea level with respect to time.

Slope:

= (677 - 545) / (27 - 15)

= 132 / 12

= 11 feet per second

Thus,

The rate of change of the distance below the sea level with respect to time is 11 feet per second.

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The rate of change of distance for the submarine is given by 11 feet/sec.

In order to find the slope between two points (x₁, y₁) and (x₂, y₂), take the ratio of the difference of the respective coordinates as (y₂ - y₁)/(x₂ - x₁).

Given that,

The table for distance travelled versus time taken for a submarine.

In order to find the slope, take two values of distance and time from the given table as  380 feet at t = 0 and 545 feet at t = 15.

Now, the slope can be found as,

slope = (545 - 380)/(15 - 0)

         = 165/15

         = 11

Hence, the rate of change of distance below sea level with respect to time is given as 11 feet/sec.

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The storm rainfall flux is 0.00127 m2/hr, 1.27 kg liquid water/m2hr, 2.8 lb liquid water/m2hr, 1.27 liters liquid water/m2hr, and 0.335 gallons liquid water/m2hr. The amount of liquid water fell on the garden is 80.6 L, 21.3 gallons.

Dimensions of outdoor vegetable garden = 2 m × 2 m

Storm rainfall = 0.8 inches of rain

Time of storm = 1 hr(

a) The rainfall flux is the amount of rainfall per unit area and unit time. It is given as:

Rainfall flux = (Amount of rainfall) / (Area × Time)

Given the area of the garden is 2 m × 2 m, and the time is 1 hr, the rainfall flux is:

Rainfall flux = (0.8 inches of rain) / (2 m × 2 m × 1 hr)

Converting inches to meters, we get:

1 inch = 0.0254 m

Therefore,

Rainfall flux = (0.8 × 0.0254 m) / (2 m × 2 m × 1 hr) = 0.00127 m/hr

Converting the rainfall flux to other units:

In kg/hr:

1 kg of water = 1000 g of water

Density of water = 1000 kg/m3

So, 1 m3 of water = 1000 kg of water

So, 1 m2 of water of depth 1 m = 1000 kg of water

Therefore, 1 m2 of water of depth 1 mm = 1 kg of water

Therefore, the rainfall flux in kg/hr = (0.00127 m/hr) × (1000 kg/m3) = 1.27 kg/m2hr

In lbs/hr:

1 lb of water = 453.592 g of water

So, the rainfall flux in lbs/hr = (0.00127 m/hr) × (1000 kg/m3) × (2.20462 lb/kg) = 2.8 lbs/m2hr

In liters/hr:

1 m3 of water = 1000 L of water

So, 1 m2 of water of depth 1 mm = 1 L of water

Therefore, the rainfall flux in L/hr = (0.00127 m/hr) × (1000 L/m3) = 1.27 L/m2hr

In gallons/hr:

1 gallon = 3.78541 L

So, the rainfall flux in gallons/hr = (0.00127 m/hr) × (1000 L/m3) × (1 gallon/3.78541 L) = 0.335 gallons/m2hr

(b) To calculate the amount of water that fell on the garden, we need to calculate the volume of water.

Volume = Area × Depth.

The area of the garden is 2 m × 2 m.

We need to convert the rainfall amount to meters.

1 inch = 0.0254 m

Therefore, 0.8 inches of rain = 0.8 × 0.0254 m = 0.02032 m

Volume of water = Area × Depth = (2 m × 2 m) × 0.02032 m = 0.0806 m3

Converting the volume to other units:

In liters:

1 m3 of water = 1000 L of water

Therefore, the volume of water in liters = 0.0806 m3 × 1000 L/m3 = 80.6 L

In gallons:

1 gallon = 3.78541 L

Therefore, the volume of water in gallons = 80.6 L / 3.78541 L/gallon = 21.3 gallons.

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The equation for the temperature (D) in terms of t is D(t) = 11 * sin((π / 12) * t) + 55

To model the temperature over a day as a sinusoidal function, we can use the sine function. The general form of a sinusoidal function is:

D(t) = A * sin(B * t + C) + D

Where:

A: Amplitude of the function (half the difference between the high and low temperatures)

B: Period of the function (number of hours for one complete cycle)

C: Phase shift of the function (horizontal shift)

D: Vertical shift of the function (midnight temperature)

Given information:

Temperature at midnight = 55 degrees

High temperature = 66 degrees

Low temperature = 44 degrees

Amplitude (A):

The amplitude of the function is half the difference between the high and low temperatures:

A = (High temperature - Low temperature) / 2

A = (66 - 44) / 2

A = 22 / 2

A = 11

Period (B):

The period of the function represents the number of hours for one complete cycle. In this case, we can assume a 24-hour cycle since we're considering a day:

B = 2π / 24

B = π / 12 (approximately)

Phase shift (C):

Since the temperature is given at midnight, the function does not have any horizontal shift (phase shift):

C = 0

Vertical shift (D):

The vertical shift is the temperature at midnight:

D = 55

Putting all the values together, the equation for the temperature as a function of time (t) is:

D(t) = 11 * sin((π / 12) * t) + 55

Therefore, the equation for the temperature (D) in terms of t is:

D(t) = 11 * sin((π / 12) * t) + 55

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when x = 0, a = -2, so we can substitute these values to get: of k is -5.

how to find the question ?

First, we need to find the equation of each function. The general equation of an exponential function is f(x) = a(b)ˣ, where "a" is the initial value and "b" is the base.

For function g, we can see that it declines through the given points, which means that its base is between 0 and 1. We also know that when x = -2, f(-2) = 5, so we can write:

5 = a(b)⁻²

Similarly, when x = -1, f(-1) = 0, so:

0 = a(b)⁻¹

Dividing the second equation by the first, we get:

0/5 = (a(b)⁻¹) / (a(b)⁻²)

0 = b

Therefore, the equation of g is:

g(x) = a(0)ˣ = a

Now, for function f, we can see that it also declines through the given points, so its base is also between 0 and 1. Using the same method as above, we can find that its equation is:

f(x) = 3(1/2)ˣ

Since we know that g(x) = f(x) + k, we can substitute the equations of g and f to get:

a = 3(1/2)ˣ+ k

We also know that when x = 0, a = -2, so we can substitute these values to get:

-2 = 3(1/2)⁰ + k

-2 = 3 + k

k = -5

Therefore, the value of k is -5.

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The linear correlation between the given two variables be,

4.5y + 5.2x = 168.34

Given, data for a classroom of students who measured each (approximately) in inches.

Femur Length 18.7 14.2 20.5 15.9 16.2 13.1 15.0 12.4 19.0 16.2 21.3

Tibia Length  15.8 21.0 16.2 14.3 12.1 15.8 13.0 18.8 14.3 18.7 13.8

we have to find a linear correlation between the two variables,

linear correlation be,

(y - 15.8)/(x - 18.7) = (15.8 - 21.0)/(18.7 - 14.2)

(y - 15.8)/(x - 18.7) = (- 5.2)/4.5

4.5y - 71.1 = -5.2x + 97.24

4.5y + 5.2x = 168.34

So, the linear correlation between the given two variables be,

4.5y + 5.2x = 168.34

Hence, the linear correlation between the given two variables be,

4.5y + 5.2x = 168.34

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Since the slope is -1.2 and not 112, we can conclude that 112 is not the slope of this graph.

To determine whether 112 is the slope of the line that goes through points A(0, 2.5) and B(0.833, 0), we can use the slope formula:

\(slope = (y_{2} - y_{1} ) / (x_{2} - x_{1} )\)

wherewhereand\((x_{1} , y_{1} )\)and \((x_{2} , y_{2} )\) are the coordinates of two points on the line.

Using the coordinates of points A and B, we get:

slope = (0 - 2.5) / (0.833 - 0) = -3 / 2.5 = -1.2

Since the slope is -1.2 and not 112, we can conclude that 112 is not the slope of this graph.
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Answer:

Mrs Bela paid $968,65 for the oven

Answer:

(2,-3) is the minimum

Step-by-step explanation:

y = (x-2)²-3 is a quadratic equation written in 'vertex' form:  y = (x-h)²+k where 'h' and 'k' represent the vertex

The vertex is the highest or lowest point of the curve, in this case the 'minimum' so (2,-3) is the minimum

Answer:

Step-by-step explanation:

Answer:

The answer is letter D.

why?

Step-by-step explanation:

Id.k -_-

j0ke

=

2

π

r

=

2

π

3

≈

18.84956

and that's it

HOPE IT HELPS

(FROM CROSS)

Answer:

2.25

Step-by-step explanation:

The interquartile range (IQR) for the worker's weekly earnings is 15 dollars.

To calculate the interquartile range (IQR) from the given stem-and-leaf plot, we need to obtain the 25th and 75th percentiles.

From the stem-and-leaf plot, we can observe the following data points for the worker's weekly earnings:

10, 10, 10, 10, 11, 12, 15, 16, 20, 20, 21, 25, 26, 28, 36, 38

Step 1: Arrange the data in ascending order:

10, 10, 10, 10, 11, 12, 15, 16, 20, 20, 21, 25, 26, 28, 36, 38

Step 2: Find the position of the 25th percentile:

n = 16 (number of data points)

Position = (25/100) * n = (25/100) * 16 = 4

The 25th percentile falls between the 4th and 5th data points, which are both 10.

Step 3: Obtain the position of the 75th percentile:

Position = (75/100) * n = (75/100) * 16 = 12

The 75th percentile falls between the 12th and 13th data points, which are both 25.

Step 4: Calculate the IQR:

IQR = 75th percentile - 25th percentile = 25 - 10 = 15

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The recursive formula that is used to represent the sequence 2,5,8,11,14,... is a(n)=a(n-1)+3.

A sequence is an ordered set of numbers that frequently maintain a pattern.

The given sequence is 2,5,8,11,14,..

The first term is 2.

So, a(1)=2

The common difference is (5-2), that is 3.

So, the recursive formula is a(n)=a(n-1)+3

Therefore, the recursive formula that is used to represent the sequence 2,5,8,11,14,... is a(n)=a(n-1)+3.

Thus, the correct option is (d)

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Answer:

-68

Step-by-step explanation:

please give me a brainlist

The dimensions of the garden are 12.5 feet by 30.5 feet.

To model this situation, we can use two equations. Let the width of the rectangular garden be w feet and the length be l feet.

Then:We know that the perimeter of the garden is 90 feet because the amount of fencing used was 90 feet.Perimeter = sum of all sides2(l + w) = 90Divide both sides by 22(l + w)/2 = 45l + w = 45Now,

we also know that the length of the fence, 1, was 5 feet less than 3 times the width,

w.l = 3w - 5Substitute this equation for l in the first equation:3w - 5 + w = 45Simplify:4w - 5 = 45

Add 5 to both sides :4w = 50Divide both sides by 4:w = 12.5

Now that we know the width of the garden is 12.5 feet, we can use the equation for l to find the length:l = 3w - 5l = 3(12.5) - 5l = 30.5

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Answer:

D; 85 leaves

Step-by-step explanation:

From what we can see, each 4 days there is a growth of an additional 9 leaves

So for the 20th day, we can see 58

The difference between the 20th and 32nd day is 12

The number of 4s we can see here is 12/4 = 3

For each 4, we can count extra 9 leaves

So for the 12, the number of leaves we can count is 3 * 9 = 27

we proceed to add this to 58

That will yield 58 + 27 = 85

It's c Bye bye have a amazing day

The probability that a student who has a brother also has a sister is 2/7 or approximately 0.2857.

To find the probability that a student who has a brother also has a sister, we need to use the concept of conditional probability.

Let's first find the probability of a student having both a brother and a sister. According to the problem, there are 2 students who have both a brother and a sister. Therefore, the probability of a student having both a brother and a sister is:

P(Brother and Sister) = 2/23

Now, let's find the probability of a student having a brother:

P(Brother) = 7/23

Using the formula for conditional probability, we can find the probability that a student who has a brother also has a sister:

P(Sister|Brother) = P(Brother and Sister) / P(Brother)

Substituting the values we found, we get:

P(Sister|Brother) = (2/23) / (7/23) = 2/7

This means that if we randomly select a student who has a brother, the probability that they also have a sister is about 0.2857.

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