ANSWER ASAP
What is y= -2/5x+3/8 as a function and a solution when x = 1/3

Answer:

where the pattern??????

Answer:

where is the pattern

Step-by-step explanation:

Answer:

  67 square units

Step-by-step explanation:

The area using the left-hand sum is the sum of products of the function value at the left side of the interval and the width of the interval.

The attachment shows a table of the x-value at the left side of each interval, and the corresponding function value there. The interval width is 1 unit in every case, so the desired area is simply the sum of the function values.

The approximate area is 67 square units.

Split up the interval [0, 6] into 6 equally spaced subintervals of length \(\Delta x = \frac{6-0}6 = 1\). So we have the partition

[0, 1] U [1, 2] U [2, 3] U [3, 4] U [4, 5] U [5, 6]

where the left endpoint of the \(i\)-th interval is

\(\ell_i = i - 1\)

with \(i\in\{1,2,3,4,5,6\}\).

The area under \(f(x)=x^2+2\) on the interval [0, 6] is then given by the definite integral and approximated by the Riemann sum,

\(\displaystyle \int_0^6 f(x) \, dx \approx \sum_{i=1}^6 f(\ell_i) \Delta x \\\\ ~~~~~~~~ = \sum_{i=1}^6 \bigg((i-1)^2 + 2\bigg) \\\\ ~~~~~~~~ = \sum_{i=1}^6 \bigg(i^2 - 2i + 3\bigg) \\\\ ~~~~~~~~ = \frac{6\cdot7\cdot13}6 - 6\cdot7 + 3\cdot6 = \boxed{67}\)

where we use the well-known sums,

\(\displaystyle \sum_{i=1}^n 1 = \underbrace{1 + 1 + \cdots + 1}_{n\,\rm times} = n\)

\(\displaystyle \sum_{i=1}^n i = 1 + 2 + \cdots + n = \frac{n(n+1)}2\)

\(\displaystyle \sum_{i=1}^n i^2 = 1 + 4 + \cdots + n^2 = \frac{n(n+1)(2n+1)}6\)

Answer:

Alexis spent $7.52 on her apples

The conditioned response (CR) in this scenario is the feeling of illness that Jack experiences whenever he sees bread. It is a learned response that has been associated with the moldy bread incident and has become triggered by the sight of bread.

When Jack unknowingly ate the sandwich with moldy bread, he formed an association between the moldy bread and feeling ill. This association was established through classical conditioning, where an unconditioned stimulus (the moldy bread) became paired with an unconditioned response (feeling ill) due to its natural properties.

Over time, this association became learned, and the bread itself became a conditioned stimulus (CS).

As a result, whenever Jack now sees bread, the conditioned stimulus (CS), it triggers the conditioned response (CR) of feeling ill.

The association between the moldy bread and feeling ill has been generalized to bread in general, leading to the automatic and involuntary response.

The CR in this scenario demonstrates the power of conditioning and how an initially neutral stimulus (bread) can come to evoke a response (feeling ill) due to its association with an aversive experience (eating moldy bread).

This learned response can persist even after the initial incident and continue to affect Jack's emotional and physiological reactions to bread in the future.

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Answer:

11 1/2 miles per hour is the answer I believe

Answer:

C = 4d+5c+6a

Step-by-step explanation:

This is quite simple, for you have 3 different items. To find the cost of it, you simply give each type of mix a variable and put their costs as the value before the variable. This equation would come out to be:

C = 4d+5c+6a

Answer:

The zero value of the function occurs at s = 4

Step-by-step explanation:

The given function for the amount of money, m, Jason has left after buying s number of sno-cones for his friend is m = 5 - 1.25·s

Therefore, we have generated from Microsoft Excel the following data table used to plot the points on the graph

Number of Sno-cones          \({}\)        Amount of money left

0                                    \({}\)                        5

1                                    \({}\)                         3.75

2                                    \({}\)                        2.5

3                                    \({}\)                        1.25

4                                    \({}\)                        0

Therefore, as seen from the above table, and from the attached graph, the zero value of the function occurs at the value where the amount of money left (y-coordinate value) is 0 which is at the value of s = 4.

-3/8÷7/12 = -9/14

-0.75÷0.03 = -25

Answer:

4% per year

Step-by-step explanation:

Here,

Principal(P)=$180

Amount(A)=$187.20

Time(T)=1 yrs

Now,

SI=A-P

=187.20-180

=$7.20

also,

SI=PTR/100

or,7.20=180R/100

or,720=180R

or R=720/180

:.R=4% per year

The generating function for the sequence {an} is given by a(x) = (1 + 2x) / (1 - x - 6x^2). It captures the terms of the sequence {an} as coefficients of the powers of x.

To find the generating function of the sequence {an}, we can use the properties of generating functions and solve the given recurrence relation.

The given recurrence relation is: an = an-1 + 6an-2

We are also given the initial conditions: a0 = 1 and a1 = 3.

To find the generating function, we define the generating function A(x) as:

a(x) = a0 + a1x + a2x² + a3x³ + ...

Multiplying the recurrence relation by x^n and summing over all values of n, we get:

∑(an × xⁿ) = ∑(an-1 × xⁿ) + 6∑(an-2 × xⁿ)

Now, let's express each summation in terms of the generating function a(x):

a(x) - a0 - a1x = x(A(x) - a0) + 6x²ᵃ⁽ˣ⁾

Simplifying and rearranging the terms, we have:

a(x)(1 - x - 6x²) = a0 + (a1 - a0)x

Using the given initial conditions, we have:

a(x)(1 - x - 6x²) = 1 + 2x

Now, we can solve for A(x) by dividing both sides by (1 - x - 6x^2²):

a(x) = (1 + 2x) / (1 - x - 6x²)

Therefore, the generating function for the given sequence is a(x) = (1 + 2x) / (1 - x - 6x²).

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Answer:

C. A set of objects chosen from a larger set in which the order of the objects doesn't matter.

Step-by-step explanation:

That is the definition of a combination. Order does not matter

For example, selecting 3 students from a total of 10 students. The set selected is a smaller set from a larger set

Answer:

\(\frac{5}{3}\)

Step-by-step explanation:

Scale factor: \(\frac{5}{3}\)

Answer:

4(10)^2 or 4(100)

hope this helps

Step-by-step explanation:

Answer:

0.620 km

Step-by-step explanation:

0.500 + 0.020 + 0.100 = 0.620, or 0.62 km long

Answer:

well non of the answer choices are exact but i would say a/the first one. im not sure but they should add up to about 7.65%.

Step-by-step explanation:

Answer:

So each party – employee and employer – pays 7.65% of their income, for a total FICA contribution of 15.3%. To calculate your FICA tax burden, you can multiply your gross pay by 7.65%:

BUT EACH FICA TAX IS 6.2% Social security and 1.45% respectively

The reason it says 7.65 because it also depends on where you live, but it should be around the 7.65 to 7.9 mark

Answer: 6 cm

Step-by-step explanation:

6 cm is the radius because half the diameter is the radius

Answer:

Explanation:

Diameter: 12

12 ÷ 2 = 6

Therefore the radius is 6 cm.

The 90% confidence interval for the difference in the population means is -2.51 to 0.31

From the question, we have the following parameters that can be used in our computation:

xˉ₁ = −17.1

s₁² = 8.4

n₁ = 22

​xˉ₂ = −16.0

s₂² = 8.7

n₂ = 24

Calculate the pooled variance using

P = (df₁ * s₁² + df₂ * s₂²)/df

Where

df₁ = 22 - 1 = 21

df₂ = 24 - 1 = 23

df = 22 + 24 - 2 = 44

So, we have

P = (21 * 8.4 + 23 * 8.7)/44

P = 8.56

Also, we have the standard error to be

SE = √(P/n₁ + P/n₂)

So, we have

SE = √(8.56/22 + 8.56/24)

SE = 0.86

The z score at 90% CI is 1.645, and the CI is calculated as

CI =  (x₁ - x₂) ± z * SE

So, we have

CI = (-17.1 + 16.0) ± 1.645 * 0.86

This gives

CI = -1.1 ± 1.41

Expand and evaluate

CI = (-2.51, 0.31)

Hence, the confidence interval is -2.51 to 0.31

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Answer:

To solve this problem, we need to first find the intensity of the passenger car traveling at 50 miles per hour, which is given to be 70 decibels. We can use the formula L(x) = 10 log(x/I_0) to solve for x:

L(x) = 70 dB

10 log(x/10^-12 W/m^2) = 70

log(x/10^-12 W/m^2) = 7

x/10^-12 W/m^2 = 10^7

x = 10^7 * 10^-12

x = 10^-5 W/m^2

Therefore, the intensity of the passenger car traveling at 50 miles per hour is 10^-5 W/m^2.

Next, we can find the intensity of the diesel truck traveling at 40 miles per hour and 50 feet away, which is 10 times that of the passenger car. We can use the inverse square law of sound to solve for the new intensity:

I1 / I2 = (d2 / d1)^2

where I1 is the new intensity, I2 is the original intensity (10^-5 W/m^2), d1 is the distance from the passenger car to the listener (50 feet), and d2 is the distance from the diesel truck to the listener (also 50 feet).

I1 / 10^-5 = (50 / 50)^2

I1 = 10^-5 * 1^2

I1 = 10^-5 W/m^2

Therefore, the intensity of the diesel truck traveling at 40 miles per hour and 50 feet away is also 10^-5 W/m^2.

Finally, we can use the formula L(x) = 10 log(x/I_0) to find the loudness of the diesel truck in decibels:

L(x) = 10 log(10^-5/10^-12) = 70 + 10 log(10)

L(x) = 70 + 10

L(x) = 80 dB

Therefore, the loudness of the diesel truck traveling at 40 miles per hour and 50 feet away is 80 decibels.

Step-by-step explanation:

Therefore, visually interpreting histograms can be a powerful tool for data analysis, but it is important to be aware of their strengths and limitations.

Histograms are an effective way to display data graphically. They are used to show how often certain values or ranges of values appear in a data set. Visual interpretation of histograms has many strengths and limitations. Some of the strengths of visually interpreting histograms are that they are easy to read and understand, they provide a clear picture of how the data is distributed, and they can help identify outliers or gaps in the data. However, some of the limitations of visually interpreting histograms are that they can be influenced by the number of bins chosen, the way the data is grouped, and the choice of the scale used. Therefore, it is important to carefully consider these factors when interpreting a histogram. In conclusion, visually interpreting histograms can be a powerful tool for data analysis, but it is important to be aware of their strengths and limitations.

Therefore, visually interpreting histograms can be a powerful tool for data analysis, but it is important to be aware of their strengths and limitations.

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Answer:

The price of a table is rs1720

Step-by-step explanation:

Let C and T be the individual prices of the tables and chairs.

We know that 3C + 4T = rs7540

We are then told that C = rs220, so we can enter that into the equation to find T:

3C + 4T = rs7540  

3(220) + 4T = rs7540  [for C = rs220]

660 + 4T = 7540

4T = rs6880

T = rs1720

Check:

Do 3 chairs at 220 each and 4 tables at 1720 each add to a total of 7540?

Chairs:   rs660

Tables:  rs6880

Total = rs7540  YES

The expression used to represent the area of the triangle is

1/2 * (6x^2 + 13x + 6). The solution has been obtained by using the formula for right-angled triangle.

What is a right-angled triangle?

A triangle is said to be right-angled if one of its angles is 90 degrees. The other two angles add up to 90 degrees. The base of the triangle and perpendicular sides make up the right angle. The hypotenuse, the third side, is the longest of the three sides.

We are given that the base of a right triangle is represented by the expression 3x + 2. and the height of the right triangle is represented by 2x + 3.

We know that area of triangle = 1/2 * base * height

So,

⇒Area = 1/2 * (3x+2) * (2x+3)

⇒Area = 1/2 * (6x^2 + 9x + 4x + 6)

⇒Area = 1/2 * (6x^2 + 13x + 6)

Hence, the expression used to represent the area of the triangle is

1/2 * (6x^2 + 13x + 6).

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The given function is

First, we make x = 0.

Second, we make g(x) = 0.

Third, we graph the points (0, 4) and (-16, 0).

At last, we draw the line through the points to get the line.

side area 43 cm, 34 cm and 20cm in lenght

Answer:

3

Step-by-step explanation:

Using the given exponential function,

The rate of the disease spreading is approx. 140 peoples per day affected.

let P be the number of people's that are contacting a new disease.

given exponential function about the new disease modeled by population is

P(t) = 3725/(1 +1.72 e⁻⁰·⁵²ᵗ) ---(1)

where t is time measured in days

we want to calculate the rate of diseases spreading on day 4 i.e t = 4

putting the value t = 4 in above formula, we get

P(t=4) = 3725/(1 + 1.72 e⁻⁽⁰·⁵²⁾⁴)

=> P( t= 4) = 3725 / (1 + 1.72× e⁻⁰·²⁸)

=> P(t=4) = 3725/(1 + 1.72× 0.124)

=> P(t = 4) = 3725/(1+ 0.2148)

=> P(t=4) = 3725/1.2148

=> P(t = 4) = 3066.14

Hence, after 4 days of diseases spread , total 3066 people's are affected from it .

rate of diseases spreading per day is equal to (3725-3066)/4 = 659/4 = 139.75

so, rate of spreding diseases is 139.75 ~ 140 peoples per day .

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The volume of the cylindrical tank for refrigerant with an inside diameter of 14 inches and a height of 16 inches is 10,736 cubic inches.

The volume of a cylinder can be calculated using the formula:

\(\[ V = \pi r^2 h \]\)

where V represents the volume, \(\(\pi\)\) is a mathematical constant approximately equal to 3.14159, r is the radius of the cylinder (which is half the diameter), and h is the height of the cylinder.

In this case, the inside diameter of the tank is given as 14 inches, so the radius can be calculated as \(\(r = \frac{14}{2} = 7\)\) inches. The height of the tank is given as 16 inches. Substituting these values into the formula, we get:

\(\[ V = 3.14159 \times 7^2 \times 16 \approx 10,736 \text{ cubic inches} \]\)

Therefore, the volume of the cylindrical tank for refrigerant is approximately 10,736 cubic inches.

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The point on the line y = (-6/7) x + 6 that is closest to the origin is (2.96, 8.54)

The equation of the line is,

y = (-6/7) x + 6

So each point on the given line can be expressed as (x, (-6/7) x + 6).

So the distance of the point on the line to the origin (0, 0) is given by,

d = √[x² + {(-6/7) x + 6}²]

d² = x² + {(-6/7) x + 6}²

d² = x² + {(-6/7) x}² + 6² + 2 (-6/7)x * 6

d² = x² + 36x²/49 + 36 - 72x/7

d² = 85x²/49 - 72x/7 + 36

Let, z = 85x²/49 - 72x/7 + 36

differentiating the above relation with respect to 'x' we get,

dz/dx = 170x/49 - 72/7

d²z/dx² = 170/49

Now, dz/dx = 0. So,

170x/49 - 72/7 = 0

170x/49 = 72/7

x = (72*49)/(7*170)

x = 252/85

At x = 252/85, d²z/dx² = 170/49 > 0

So, at x = 252/85, z is minimum.

So, at x = 252/85, d² is minimum thus d is minimum.

So, the point is = (252/85, [(-6/7)(252/85) + 6]) = (2.96, 8.54) [Rounding off to nearest hundredth].

Hence the required point is (2.96, 8.54).

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An integrated explanation of numerous hypotheses, supported by a large number of tests, and accepted by a majority of experts, is known as a theory .

Given,

Definition .

According to definition of theory,

A) It can be an explanation of scientific laws.

B) It is a total explanation of numerous hypothesis, each supported by a large body of results.

C) It is a summary and simplification of many data that previously appeared unrelated.

D) It is an assumption for new data suggesting new relationships among a range of natural phenomena.

Hence the definition given is of theory .

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Answer:

20) 5X3=15 15h  

21) 12X15=18 180

22) IDEK

23) IDEK

Step-by-step explanation: