Which quadratic function is represented by the graph?
O y = 5(x-6)2 +5
O y = 5(x-7)(x - 5)
O y = 5(x + 6)2-5
Oy=5(x-7)(x + 5)

A parameter can change for a set population when there is a change in the population distribution or when the population is no longer considered "set". A parameter is a fixed numerical characteristic of a population that is measured by a statistic.

When there is a change in the distribution of a population, the parameter that describes the population will change. For example, the mean of a population will change if there is a shift in the distribution of scores. Similarly, the standard deviation will change if there is a change in the variability of scores.

A parameter can also change if the population is no longer considered "set". For example, if a population is defined as all the residents of a particular city, the parameter will change if people move in or out of the city. In this case, the parameter can be thought of as a snapshot of the population at a particular point in time.

In conclusion, a parameter can change for a set population when there is a change in the population distribution or when the population is no longer considered "set".

To know more about Parameter  visit :

https://brainly.com/question/14618066

#SPJ11

Answer: 180

Step-by-step explanation:

Option c. 2

Among the given targets, two targets are correctly described:

Regarding chemical pesticide use, the target is to reduce it by 50% by 2050. This aligns with the vision presented in the Green Food System Strategy.

In terms of chemical fertilizers, the target is to reduce the use of chemical fertilizers produced in Japan from fossil fuels by 30% by 2050. This target is also consistent with the strategy's vision.

The remaining two targets are not correctly described:

The target of expanding the organic market and increasing the ratio of organic farming to arable land to 30% (1 million hectares) by 2050 is not mentioned in the given options.

The target of reducing household food loss by half from the FY2000 level by 2030 is also not mentioned in the given options.

Therefore, the correct answer is option c. 2, as two of the targets are accurately described in the provided options.

Learn more about chemical pesticide here:

https://brainly.com/question/28045448

#SPJ11

The salary after 6 years is $83,000.

The salary after tt years is 53,000 + 5000tt.

The equation that can be used to determine Aisha's salary after a period of time can be represented by a linear equation. This is because that her salary increases by a constant rate each year.

A linear function represents a straight line when drawn on a coordinate plane. A linear function is a function that has a single variable raised to the power of 1. An example is y + 2. The variable y is raised to the power of 1. 2 is the constant term.

Total salary = beginning salary + (rate of increase x number of years)

Salary after 6 years: 53,000 + (5,000 x 6)

= 53,000 + 30,000 = $83,000

Salary after tt years: 53,000 + (5,000 x tt)

53,000 + 5000tt

To learn more about linear functions, please check: https://brainly.com/question/26434260

#SPJ1

Answer:

72x

Step-by-step explanation:

The fracture toughness for this solid is 1843.89 Y MPa√mm.  The plain strain fracture toughness value (K_ICc) is 2534.54 MPa√mm. For a valid fracture toughness test, the minimum required thickness would be 16.5 mm.

a) The fracture toughness (K_IC) of a solid is a measure of its resistance to crack propagation. It can be calculated using the formula:

K_IC = Yσ√(πa)

Where K_IC is the fracture toughness, Y is the geometric factor (typically ranging from 1 to 1.6), σ is the applied stress, and a is the crack length.

In this case, the crack diameter (2a) is given as 22 mm, so the crack length (a) is 11 mm. The stress (σ) for catastrophic fracture is 600 MPa.

Substituting the values into the formula, we get:

K_IC = Yσ√(πa) = Y * 600 MPa * √(π * 11 mm) ≈ 1843.89 Y MPa√mm

b) According to the ASTM E399 standard, the critical stress intensity factor (K_IC) should be compared to the material's plane strain fracture toughness (K_ICc). If K_IC is higher than K_ICc, it is considered an acceptable value.

The plane strain fracture toughness (K_ICc) can be calculated using the formula:

K_ICc = Tys√(πc)

Where Tys is the yield strength and c is the half-crack length.

The given Tys value is 1342 MPa. Since the crack length (c) is half the crack diameter (11 mm), c is equal to 5.5 mm.

Substituting the values into the formula, we get:

K_ICc = Tys√(πc) = 1342 MPa * √(π * 5.5 mm) ≈ 2534.54 MPa√mm

Comparing the calculated K_IC with K_ICc, we can determine if the fracture toughness value is acceptable.

c) To perform a valid fracture toughness test, the material should be in a state of plane strain, meaning that the crack should be sufficiently deep compared to the thickness of the specimen. The ASTM E399 standard recommends a minimum thickness of 1.5 times the crack length.

In this case, the crack length (a) is 11 mm. Therefore, the minimum required thickness would be:

Minimum thickness = 1.5 * a = 1.5 * 11 mm = 16.5 mm

In summary, the fracture toughness of the solid is approximately 1843.89 Y MPa√mm. To determine if it is acceptable according to ASTM E399, it should be compared to the plane strain fracture toughness value (K_ICc) of approximately 2534.54 MPa√mm. Lastly, for a valid fracture toughness test, the minimum required thickness would be 16.5 mm.

Learn more about diameter here:

https://brainly.com/question/32968193

#SPJ11

The intercepts of the line are (0, −7/3) and (7/6, 0).

To find the x-intercept of a line, substitute

y = 0

and solve for x, whereas to find the y-intercept, substitute

x = 0

and solve for y.

Therefore, to determine the intercepts of the line

−6x + 3y = −7 − 6x + 3y = −7,

we substitute x = 0 to find the y-intercept and substitute y = 0 to find the x-intercept, as follows.

Substitute x = 0 to find the

y-intercept:−6(0) + 3y = −7⟹ 3y = −7⟹ y = −7/3

Therefore, the y-intercept is (0, −7/3).

Substitute y = 0 to find the

x-intercept:−6x + 3(0) = −7⟹ −6x = −7⟹ x = 7/6Therefore, the x-intercept is (7/6, 0).

For more question intercepts

https://brainly.com/question/25359676

#SPJ8

There are multiple ways to decompose the fraction 6/10 into a sum. Two possible ways are 3/10 + 3/10 and 1/10 + 1/10 + 1/10 + 1/10 + 1/10 + 1/10.

1. 3/10 + 3/10: One way to decompose 6/10 into a sum is by adding two equal fractions. By splitting 6/10 into two fractions of 3/10 each and adding them together, we get 3/10 + 3/10 = 6/10.

2. 1/10 + 1/10 + 1/10 + 1/10 + 1/10 + 1/10: Another way to decompose 6/10 into a sum is by breaking it down into several fractions of the same value. In this case, we can represent 6/10 as the sum of six fractions, each equal to 1/10. Adding them together, we get 1/10 + 1/10 + 1/10 + 1/10 + 1/10 + 1/10 = 6/10.

These two examples illustrate different ways to decompose the fraction 6/10 into a sum using equal or repeated fractions.

Learn more about fractions  : brainly.com/question/10354322

#SPJ11

Answer:

Second one 5

Step-by-step explanation:

You have not provided the contents of any of the drop-down menus, so we cannot say for certain what the answers should be--except in the case of "infinitely many solutions.

2x + 9 + 3x + x = 6x

2x + 9 + 3x + x = 15

2x + 9 + 3x + x = 6x + 9

Based on the given conditions,

(1) No solutions :

There will be no solutions when the left side is inconsistent with the right side:

2x + 9 + 3x + x =  _ x + _

We can sum of difference,

6x + 9 = 6x

Subtract 6x from both sides,

6x - 6x = -9

9 = 0

9 = 0 which is absurd and hence the equation has no solution.

(2) One solutions :

There will be one solution when the left side and right side are not inconsistent and not the same.

2x + 9 + 3x + x = 15

6x + 9 = 15

Subtract 9 from both sides.

6x = 6

Divide both sides by 6.

x = 1 and this is the only solution.

(3) Infinity solutions :

There will be an infinite number of solutions when the equation is true for any value of x. This will be the case when the left side and right side are identical.

2x + 9 + 3x + x = 6x + 9

6x + 9 = 6x + 9

Subtract 6x from both sides,

9 = 9, both sides are balanced which means, the equation has infinitely many solutions.

Therefore,

2x + 9 + 3x + x = 6x

2x + 9 + 3x + x = 15

2x + 9 + 3x + x = 6x + 9

To learn more about information visit Infinity solutions :

brainly.com/question/16797067

#SPJ1

Answer:

since 13/2 is already an improper fraction.. as a mixed number it would be 6 1/2.

Step-by-step explanation:

Answer:

6 ¹/²

Step-by-step explanation:

hope you have a great day.

brainliest is appreciated

The slope of the new road is zero.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

Take points from the Graph (5, 0) and (5, 4).

Slope of a line = m = tanθ

where θ is the angle made by the line with the x−axis.

For a line parallel to y−axis ,θ= π/2.

​

∴m = tan π/2 = undefined

The new road will therefore have 0° of inclination if it is perpendicular to D street because if they are perpendicular and D street is vertical, the new road is level and has 0° of inclination.

An horizontal line now has zero slope.

The new road has a zero slope as a result.

Learn more about slope here:

https://brainly.com/question/3605446

#SPJ1

Answer:

Where is the graph I can't see

Answer:

A ≈ 22.2 ft²

Step-by-step explanation:

the area (A) of the sector is calculated as

A = area of circle × fraction of circle

   = πr² × \(\frac{50}{360}\)

   = π × 7.13² × \(\frac{5}{36}\)

    = 50.8369π × \(\frac{5}{36}\)

    ≈ 22.2 ft² ( to the nearest tenth )

Answer:

x² + 14x + 49

Step-by-step explanation:

x² + 14x + 49

each side = (x+7)

Answer: y= -1 and x=-8

x+8y=-16

x=-8y-16

so x-3y=-5

-8-16-3y=-5

-11y-16=-5

-11y=-5+16

-11y=11

y=-1

x-3y=-5

x+3=-5

x=-8

Answer:

private opinion poll is conducted for a politician to determine what proportion of the population favors decriminalizing marijuana possession. The politician is able t0 use a previous study that showed 78% of people approved of decriminalizing marijuana possession: How large of a sample should be polled in order to be 95% confident that the sample proportion will not differ from the true proportion by more than 2%2 Include a summary sentence. Why are the numbers for part a and part b above different?

We use the following formula to find the sample size: n = (z * z * p * q) / E * E = (1.96 * 1.96 * 0.50 * 0.50) / (0.05 * 0.05) = 384.16. The sample size required for the survey is 385.

Given that z = 1.96 (for 95% confidence interval), p = 0.50 (50% - we use 0.50 since we don't know the actual population proportion and assume it to be 50%), and E = 0.05.

In order to be confident that the sample proportion will not differ from the true proportion by more than, one must know the margin of error. The margin of error is the range in which a survey's results are believed to be accurate. The margin of error is the amount by which the survey results will differ from the actual survey results.

To determine how large a sample is required to be confident that the sample proportion will not differ from the true proportion by more than, one must know the margin of error.

The formula for determining the necessary sample size is: n = (z * z * p * q) / E * E where, z is the z-score that corresponds to the level of confidence desired p is the sample proportion q is 1 - pE is the desired margin of error

To know more about sample size refer to-

brainly.com/question/25894237#
#SPJ11

Answer:

4.65 dollars

Step-by-step explanation:

x% of y = \(\frac{x}{100}\)×y

            = \(\frac{15}{100}\)×31

            = 0.15 × 31

            = 4.65 dollars

∴ William will have to give 4.65 dollars.

The surface area of the rectangular prism is 88 square inches.

Given that:

Length, L = 6 inches

Width, W = 2 inches

Height, H = 4 inches

Let the prism with a length of L, a width of W, and a height of H. Then the surface area of the prism is given as

SA = 2(LW + WH + HL)

SA = 2(6 x 2 + 2 x 4 + 4 x 6)

SA = 2 (12 + 8 + 24)

SA = 2 x 44

SA = 88 square inches

More about the surface area of the rectangular prism link is given below.

https://brainly.com/question/14987814

#SPJ1

8/15 = x/6

Using cross multiplication let us find the value of x .

= 15 × x = 6 × 8

= x = 48 ÷ 15 ( transposing ×15 from LHS to RHS changes ×15 to ÷+5 )

= x = 3.2

Therefore , the equation that can be used to solve the proportion :-

Answer:

its B

Step-by-step explanation:

Answer:

The rocket is at 40 feet after 7.77 seconds.

Step-by-step explanation:

\(h(t) = -16t^{2} + 128t + 12\\40= -16t^{2} + 128t + 12\\16t^{2} - 128t + 28 = 0\\4(4t^{2} - 32t + 7) = 0\\\)

We use the quadratic formula to solve for t.

\(t=\frac{32+\sqrt{32^{2}-4*4*7} }{2*4} \\t=\frac{32+\sqrt{1024-112} }{8}\\t=\frac{32+\sqrt{912} }{8}\\t=4+\frac{\sqrt{57} }{2}\\t=\frac{32-\sqrt{32^{2}-4*4*7} }{2*4} \\t=\frac{32-\sqrt{1024-112} }{8}\\t=\frac{32-\sqrt{912} }{8}\\t=4-\frac{\sqrt{57} }{2}\)

We take the positive answer which is 7.77

Answer:

6 Meters

Step-by-step explanation:

If the car is driving at a constant velocity of 36 m/s and accelerates at -6.0 m/s ^2 to a stop, then the distance of the car decelerates to a stop in 6 seconds.

a=v/t ->>> 6= 36/t

Answer:

Im guessing x<1

Option a. calculate a correlation coefficient is the right response because a correlation coefficient measures the strength and direction of the relationship between two interval level variables.

This is because a correlation coefficient measures the strength and direction of the relationship between two interval level variables. It provides a numerical value that ranges from -1 to 1, where -1 indicates a strong negative correlation, 0 indicates no correlation, and 1 indicates a strong positive correlation.

A scatter plot is also useful in visualizing the relationship between two variables, but it does not provide a numerical value like the correlation coefficient. A test of significance and variance calculation are not typically used as first steps in assessing the relationship between two variables.

Hence, option a. calculate a correlation coefficient is the correct answer.

Learn more about "correlation ":

https://brainly.com/question/4219149

#SPJ11

Answer:

x = 3.25

Step-by-step explanation:

Answer:

Just subtract the answer to what your adding:

7.50 - 4.25 = 3.25

Step-by-step explanation:

Hope it helps! =D

The electric field strength at a point is calculated using the formula:

(E → = k * q / r^2 * r →).

a) Calculation of Electric Field → at Point P3 = (1,2,3)

where:

The magnitude of vector r from point P1 = (4, -2, 7) to point P3 = (1, 2, 3) is calculated as:

r = √(x^2 + y^2 + z^2)

r = √((4-1)^2 + (-2-2)^2 + (7-3)^2)

r = √(9 + 16 + 16)

r = √41 m

The electric field → at point P3 is given by:

E → = E1 → + E2 →

E → = 5.41 * 10^9 (i - 4j + 3k) - 12.00 * 10^9 (j - 0.5k) N/C

E → = (-6.59 * 10^9 i) + (-29.17 * 10^9 j) + (9.47 * 10^9 k) N/C

b) Calculation of the Point on the y-axis with x = 0

The electric field at a point (x, y, z) due to a charge Q located at (0, a, 0) on the y-axis is given by:

E → = (1 / 4πε0) * Q / r^3 * (x * i + y * j + z * k)

To know more about Electric Field visit :

https://brainly.com/question/11482745

#SPJ11

Answer:

The average distance Martina rode each day on her road trip was 37 miles / 3 days = 12.33 miles (rounded to two decimal places).

\(\textit{Logarithm Change of Base Rule} \\\\ \log_a b\implies \cfrac{\log_c b}{\log_c a}\qquad \qquad c= \begin{array}{llll} \textit{common base for }\\ \textit{numerator and}\\ denominator \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \log_5(18)\implies \cfrac{\log(18)}{\log(5)}\implies \cfrac{\log(2\cdot 3\cdot 3)}{\log(5)}\implies \cfrac{\log(2)+\log(3)+\log(3)}{\log(5)}\)

\(\begin{cases} \log(3)=a\\ \log(2)=b\\ \log(5)=c \end{cases}\implies \cfrac{b+a+a}{c}\implies \cfrac{b+2a}{c} \\\\[-0.35em] ~\dotfill\\\\ \log_5^2(18)\implies [\log_5(18)]^2\implies \left( \cfrac{b+2a}{c} \right)^2\implies \cfrac{(b+2a)^2}{c^2} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \cfrac{b^2+4ab+4a^2}{c^2}~\hfill\)

The function's formula for the ice sheet's thickness is S(t) = 0.2t + 1.02.

Mathematically, a linear function is sometimes referred to as an expression or the slope-intercept form of a straight line and it can be modeled (represented) by this mathematical expression;

S(t) = mt + b

Where:

After a time of 7 weeks and a rate of decrease of 0.2, the y-intercept or initial amount of ice can be calculated as follows;

S(t) = mt + b

2.42 = 0.2(7) + b

2.42 = 1.4 + b

y-intercept, b = 2.42 - 1.4

y-intercept, b = 1.02.

Therefore, the required linear function is given by S(t) = 0.2t + 1.02.

Read more on linear function here: brainly.com/question/27325295

#SPJ1

Complete Question:

A lake near the Arctic Circle is covered by a thick sheet of ice during the cold winter months. When spring arrives, the warm air gradually melts the ice, causing its thickness to decrease at a rate of 0.2 meters per week. After 7 weeks, the sheet is only 2.42 meters thick.

Let S(t), denote the ice sheet's thickness S (measured in meters) as a function of time t (measured in weeks).

Write the function's formula.

S(t) = ?

Usando el maximo comun divisor(MCD), tiene-se que lo máximo que mide el circuito es 4 km.

--------------------

Factorando por factores primos, simultáneamente:

20 - 36 - 44|2

10 - 18 - 22|2

5 - 9 - 11

O sea, MCD(20,36,44) = 2x2 = 4.

Así, lo máximo que mide el circuito es 4 km.

Un problema similar es dado en https://brainly.com/question/10894149