How do you find the range of a quadratic graph?

Answer: 1

Step-by-step explanation:

Answer: 25% i believe

Step-by-step explanation:

The probability that it lands inside the triangle is,

P = 25%

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Since, the probability is equal to,

P = size of the event space/size of the sample space

Here, In this problem

size of the sample size = area of the rectangular dartboard = 648 square centimeters

And, size of the event space = area of the triangular part = 162 square centimeters.

Hence, the probability that it lands inside the triangle is,

P = 162 / 648

P = 0.25

P = 25%

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Answer:

You would be saving the same amount of money either way.

Step-by-step explanation:

It's the commutative property.

In relation, the y values represents the range of the relation

The relation is defined as the relationship between set of ordered pairs. So generally we can say that the relation is defined as the relationship between x values and y values

We know the domain is the set of all inputs of the relation, that means the domain consist of the x values of the relations

Similarly, the range is the set of all outputs of the relation, that means the ranges consist of the y values of the relations

For example

The relation {(1, 2), (3, 4), (5, 6)}

Here x value = {1, 3, 5}

The y value = {2, 4, 6}

Therefore, the y values represents the range

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The formula for the aerodynamic force acting on an aeroplane is F = (1/2) * p * v^2 * A * C, where F is the force, p is the density of the air, v is the velocity of the aeroplane, A is the surface area of the aeroplane, and C is the coefficient of drag.

1. F = (1/2) : This is the coefficient of air resistance, which is a constant value of 1/2.

2. p : This is the density of the air, which is a measure of the mass of air per unit volume.

3. v : This is the velocity of the aeroplane, which is the speed at which it is travelling through the air.

4. A : This is the surface area of the aeroplane, which is the total area of the wings, fuselage and other exposed parts of the aircraft.

5. C : This is the coefficient of drag, which is a measure of how much air resistance the aeroplane experiences.

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The distance between Kim and Louise is 340.75 feet.

Algebra is a study of mathematical expressions, in which numbers and quantities are represented in formulas and equations by letters and other universal symbols.

Given that,

The distance of Kim from the ground level, who is standing on the deck at point K  = 140.75 feet.

Also, the distance of  Louise at point L, who is standing below Kim's position, = 200 feet.

The distance between point K and L,

= 200 + 140.75

= 340.75 feet

The required distance between K and L is 340.75 feet.

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The largest possible area for the right triangle is 1250 in² in which the sum on the lengths of the two shorter sides is 100 in.

we know that in a right triangle the two shorter sides are the base and the perpendicular. Here we have to find the largest possible area of the triangle in which the sum of the shorter sides is 100 in.

Let the base and perpendicular be x and y respectively.

Therefore,

x+y = 100

  y = 100 -x

Also, Area A

= 1/2 xy

= 1 x(100-x)/z

= 100x-x²/2

so the coordinate of vertex = -b/2a

= - 50/2(1-1/2)

= 50

Also,

y = 100-50 [Putting the value of x in equation 1]

= 50

Therefore Maximum, area:

= 1/2 (50)(50)

= 1250 in²

Hence we get the required maximum area.

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Answer:

The average rate of change of a function over an interval is found by taking the difference between the function's values at the endpoints of the interval and dividing by the length of the interval. In this case, we have:

f(1) = -3(1)^3 + 7(1) = -3 + 7 = 4

f(3) = -3(3)^3 + 7(3) = -27 + 21 = -6

The average rate of change over the interval from x=1 to x=3 is therefore (-6 - 4) / (3 - 1) = -10 / 2 = -5.

To label your answer, you could write something like: "The average rate of change of the whale's movement over the interval from x=1 to x=3 seconds is -5 meters/second."

Answer:

0

Step-by-step explanation:

Slope=(y2-y1)/(x2-x1)

=(4-(-3))/(10-c)=7/10

=7/(10-c)=7/10

c=0

The estimate of the the number of soft drinks sold a day that had a high temperature of 90 degrees is of:

856.

The equation for the line of fit is obtained inserting the points of the data-set into a linear regression calculator.

From the table given in the problem, the points are listed as follows:

(55, 340), (58, 335), (64, 410), (68, 460), (70, 450), (75, 610), (80, 735), (84,780).

Inserting these points into the linear regression calculator, the equation is defined as follows:

y = 16.42x - 621.83.

For a high temperature of 90 degrees, the estimate is calculated when x = 90, hence:

y = 16.42(90) - 621.83 = 856 soft drinks.

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The value of z in the regular nonagon is 15.

A regular polygon is a polygon with congruent sides and equal angles.

If all the polygon sides and interior angles are equal, then they are known as regular polygons.

Therefore, the regular polygon above is a nonagon because it has 9 sides. Therefore, the sum of interior angles of a nonagon is 1260 degrees.

Hence, all the angles of the regular nonagon are congruent.

9 m∠a = 1260 degrees

m∠a = 5z + 65

9(5z + 65) = 1260

45z + 585 = 1260

45z = 1260 - 585

45z = 675

divide both sides by 45

z = 675 / 45

Therefore,

z = 15

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The average rate of change between x = -3 and x = 1 is; 9/4

The average rate of change is calculated as the slope of the line between the two given points on the graph.

Now, looking at the graph, we can see that the coordinates of the two given points are;

(-3, -6) and (1, 3)

The formula to calculate the average rate of change which is the slope is;

m = (y₂ - y₁)/(x₂ - x₁)

m = (3 - (-6))/(1 - (-3))

m = 9/4

Thus, that is the average rate of change in conclusion

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An expansion where image size increased is formed when scale factor k is greater than 1

The process of dilation entails scaling or changing a thing. It is a transformation that uses the specified scale factor to make the objects smaller or larger.

The initial figure is referred to as the pre-image, and the new figure that results from dilatation is known as the image.

The resizing happens from a point called the center of dilation. It is the center of dilation from which the objects/figures are expanded or contracted. Scale factor is a number by which the size of any geometrical figure can be changed with respect to its original size.

when the scale factor K is greater than 1 , The image will enlarged

Hence, An expansion will be occur.

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Answer:

2

Step-by-step explanation:

A 14 seater matatu makes 1420 = <<1420=280>>280 shillings per trip during normal hours.

It makes 1430 = <<1430=420>>420 shillings per trip during rush hours.

Since the matatu made 10 trips and earned 3540 shillings, then it made 10-3540/280 = <<10-3540/280=12>>12 trips during normal hours.

This means it made 10-12 = <<10-12=2>>2 trips during rush hours. Answer: {2}.

The equation of the Least squares regression line is:

y(hat) = a + bx ,

⇒y(hat) = 1136+14.673x,

y(hat) = cost per hour and x= number of seats

If the data show a slimmer relationship between the two variables, the line that best fits this linear relationship is called the least-squares regression line, which minimizes the vertical distance between the data points and the regression line. The term "least squares" is used because it is the smallest sum of squared errors, also known as "variance".

In regression analysis, the dependent variable is plotted on the vertical Y-axis and the independent variable is plotted on the horizontal X-axis. These labels form the equation of the best-fit line determined by the least-squares method.

Operating costs are related to the day-to-day maintenance and management of your business. Operating expenses include direct cost of goods sold (COGS) and other operating expenses, often referred to as selling, general and administrative expenses (SG&A). These costs include rent, labor costs, other overhead costs, raw material costs, and maintenance costs. Operating expenses do not include non-operating expenses related to financing such as interest, investments and foreign currency translation. Operating expenses are deducted from revenue to determine operating profit and reflected in the company's income statement.

     Operating cost=Cost of goods sold + Operating expenses

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The 5 transformations of a linear function are translation , reflection , dilation , vertical transformation and horizontal transformation.

In the question ,

we have to write the different types of transformation .

A transformation is defined as an alteration in the parent function’s graph .

there are basically 3 main types of transformations .

(i) the first type is Translations ,

the translation causes the graph to shift left, right, up, or down so many units.

(ii) the second type is Reflection ,

the Reflections cause the graph to rotate/flip over the x-axis or y-axis.

(iii) the third type is Dilation ,

In dilation the shape of a graph is changed by a certain factor. that is the graphs will look narrower or wider .

the other two transformations are

(iv) vertical transformation : it affects the y axis .

(v) horizontal transformation : it affects the x axis .

Therefore , the 5 types of transformation are explained above.

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The phrase that best defines “figurative language is A. writing that is meant to be imaginative and vivid rather than literal

The use of figurative language, as opposed to literal language, serves the following purpose: it allows the reader to imagine what the author means when he writes a sentence or a statement. Figurative speech strengthens and deepens an author's work.

Figurative language is the use of words in unconventional ways to convey a complicated meaning, colorful writing, clarity, or evocative comparison. It employs a common sentence to allude to something without directly stating it.

Types of Figurative Language include:

In conclusion, the correct option is A.

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The Z - score for the given shaded region under the standard normal distribution = - 0.61

A normal distribution with a mean of zero and a standard deviation of one is known as the standard normal distribution. The standard deviation shows how far a given measurement deviates from the mean, and the standard normal distribution is centered at zero.

According to the given information

P(Z > z)  =  0.73

            =  1 - P(Z < z) = 0.73

            =  P(Z < z ) = 1 - 0.73

            =  P(Z < z ) = 0.27

            =  P(Z <-0.61 ) = 0.27  

z  = -0.61  (using standard normal (Z) table  )

The Z - score for the given shaded region under the standard normal distribution = - 0.61

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The Dimensions are 16.402 in wide by 8.401 in tail

Can the perimeters of two dissimilar shapes match each other?

Perimeter of custom windows = Perimeter of (rectangle+ semicircle)

Perimeter of rectangle = 2xy

Perimeter of semicircle = 1/2 πx²

A = 2xy + 1/2 πx²

2x + 2y + πx = 60

y = (60 - 2x -πx) / 2

A = 2x([60 - 2x - πx] /2) + 1/2(πx²)

0 = 60 - 4x - πx

x = 60 / (π+4)

x = 8.401

Hence,  Dimensions are 16.402 in wide by 8.401 in tail.

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Total degrees of freedom needs to be known to determine the critical values for an independent-samples t-test. So, option 3 is correct.

To evaluate whether the null hypothesis should be rejected or not, a critical value is a value that is contrasted with a test statistic in hypothesis testing. The null hypothesis cannot be rejected if the test statistic's value is not more extreme than the crucial value.

In the sampling distribution of a test statistic, a crucial value delimits areas. Both hypothesis tests and confidence intervals take these values into consideration. When conducting hypothesis testing, crucial values are used to assess whether the findings are statistically significant.

A t-test with independent samples.

To compute the critical values, one must therefore be aware of the degrees of freedom and significance level.

Therefore, total degrees of freedom needs to be known to determine the critical values for an independent-samples t-test.

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A full size scale is a type of scale in which the representative factor is 1 is to 1

A scale factor is defined as the ratio of the scale of a given original object to the scale of a new object that is its representation but of a different size.

To determine the scale factor, first identify the corresponding sides on the two figures.

Then, divide the new figure's measurement by the original figure's measurement. The resulting value is your scale factor, or how many times your new figure is larger or smaller than the original.

A full size scale is a scale in which the length of the drawing is proportional to the actual length of the object.

As a result, its representative fraction is 1:1 by definition. The drawing is drawn in full size scale with the actual measurement

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The radius of the semicircle surmounted on the rectangle with perimeter 5m is equal to 5 / ( 4 + π )meters

As given in the question,

Let '2x' be the side where semicircle surmounted on rectangle.

And y be the width of the rectangle.

Total perimeter = 5m

⇒ Perimeter of three sides rectangle + circumference of semicircle with radius 'x'  = 5

⇒ 2y + 2x  + πx = 5

⇒ 2y + x ( 2 + π ) = 5

⇒ y = (1/2)[5 -  x ( 2 + π )]

Let 'A' be the total area

Total area of the shape = area of rectangle + area of semicircle

⇒A = 2xy + (1/2)πx²

⇒A = 2x( (1/2)[5 -  x ( 2 + π )]) +  (1/2)πx²

⇒A = 5x - x²(2 + π) + (1/2)πx²

⇒A = 5x - 2x² - (1/2)πx²

For maximum light

dA/dx = 0

dA/dx = 5 -4x -πx

⇒5 - 4x - πx = 0

⇒x = 5 / ( 4 + π )meters

Therefore, the radius of the semicircular part to have maximum light is equal to 5 / ( 4 + π )meters.

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Answer:

i believe the answer is 60 I have know clue if im right or not but here is a guess just incase nobody else answers

Step-by-step explanation:

Answer:

larger number is -4

Step-by-step explanation:

Lets say the two numbers are x and y.  x is the bigger number and y is the smaller one.

2y+x = y - 6              [equation 1]

x = 2y                       [equation 2]

these are the 2 equations we get from the text then we can simplify eq 1

y+x=-6

rearrange eq 2

-2y+x=0

subtract equations

3y = -6

y = -2

substitute -2 into earlier equations

x = 2*-2 = -4

P(Z3)=0.1170 is the likelihood of earning at least 1 gram of extra cereal.A probability seems to be a number that expresses the possibility or probability that a specific event will take place.

The probability is computed by dividing the total possible outcomes by the number of possible ways the event could occur. Probabilistic and odds are two distinct ideas. Odds are the likelihood that something will occur and the variety of outcomes that can result in success. the overall number of outcomes that could occur. For instance, there is only one way to receive a head and there are a total of two possible outcomes, hence the probability of flipping the coin and getting heads is 1 in 2.

Y=1.8945 grams.

Y = 0.8405 grams.

The z-score is the result of dividing the standard deviation by the value that has been decreased by the mean:

z= σx−μ = 0.85053−1.9845≈1.19

Table A can be used to determine the relevant value:

P(Z≥3)=P(Z>1.19)=1−P(Z<1.19)=1−0.8830=0.1170

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The solution of the equation y = (2/3)x + 3 is 5/3

The given equation is

y = (2/3)x + 3

The slope of the line is the change in y coordinates with respect to the change in x coordinates.

This is the linear equation in the the slope intercept form

y = mx + b

Where m is the slope of the line

b is the y intercept

y is the y coordinates

x is the x coordinates

The value of x = -2

Substitute the value of x in the equation

y = (2/3) × -2 + 3

Do the arithmetic operations

= -4/3 + 3

Add the numbers

= 5/3

Therefore, the solution is 5/3

I have solved the question in general, as the given question is incomplete

The complete question is:

What is the solution of the equation y = (2/3)x + 3x, when x = -2?

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Answer: 12 3/5

Step-by-step explanation:

1 3/4 x 7 1/5 = 12.6= 12 3/5

For the number given as - {n} = 998001, its corresponding square root is 999.

In mathematics, a square root of a number [x] is a number [y] such that - y² = x. in other words, a number y whose square is x. For example, 4 and −4 are square roots of 16.

y² = x

y = ±√(x)

Given is to find the square root of a number as follows -

998001

The given number is -

998001

We can write it as -

x² = 998001

x = ± 999

Therefore, we get the value of [x] as 999.

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The population grew to the number 7,723 in 27 years past 1940, i.e., 1967.

What is the linear function?

In mathematics, the term linear function refers to two distinct but related notions: In calculus and related areas, a linear function is a function whose graph is a straight line, that is, a polynomial function of degree zero or one.

We have,

The population of a small town, P, as a function of time, t, in years past 1940 is:

P = 2,323 + 200t

Let t be the year in which the population reached a count of  7,723. Solve for t:

P = 2,323 + 200t

7,723 = 2,323 + 200t

7,723 - 2,323 = 200t

5,400 = 200t

t = 5400/200

t = 27 years

Hence, The population grew to the number 7,723 in 27 years past 1940, i.e., 1967.

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