As Evin is driving her car, she notices that after 1 hour her gas tank has 7.25 gallons left and after 4 hours of driving, it has 3.5 gallons of gas left in it.
According to this equation, after how many hours of driving would Evin run out of gas?

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.

To know more about perimeter check the below link:

https://brainly.com/question/19819849

#SPJ4

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.

Learn more about radius here

brainly.com/question/9221485

#SPJ4

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.

Learn more about figurative language on:

https://brainly.com/question/809737

#SPJ1

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

Learn more about Least Squares Regression Line:

https://brainly.com/question/15003650

#SPJ4

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

learn more on regular polygon here: https://brainly.com/question/29757927

#SPJ1

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

To know more about Standard Normal Distribution

https://brainly.com/question/17199694

#SPJ4

She should make a 90° turn from the starting location. Taking this viewpoint will cut down on her trip time.

An angle is a figure in plane geometry that is created by 2 rays and lines that have a shared endpoint. The Latin word "angulus," which meaning "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle.

Radius of lake= 2mi

walk rate= 4mi/h

boat speed= 2mi/h

cosθ=adj/hyp=d1/4

d1=4cosθ

The arc length from A to C

S=rθ

arc length is expressed as 2θ

S=2(2θ)

S=4θ=d2

d2=4θ

time= distance/speed

t1=d1/2= 4cosθ/2=2coθ

t2=d2/4=4θ/4=4

total time =t1+t2

T=2cosθ+θ

T(θ)=2cosθ+θ

T'(θ)= -2sinθ+1

0=-2sinθ+1

2sinθ=1

sinθ=1/2

T(π/6)=2.25hours

for 90 we have

T(π/2)=1.57hours

To know more about angle probems visit :

https://brainly.com/question/28451077

#SPJ4

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.

To know more about Dilation here

https://brainly.com/question/13176891

#SPJ4

The dilation is known as contraction when the scale factor is less 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 size decreased. It gets contracts

Hence, The dilation is called Contraction

To know more about Dilation here

https://brainly.com/question/16789982

#SPJ4

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.

Learn more about surface area here

https://brainly.com/question/2835293

#SPJ4

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

A scale factor less than 1 will decrease the dimensions of the image being scaled

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 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.

An image's dimension expand , when scale factor is greater than one

An image's dimension will decrease when the scale factor is less than one

To know more about Scale factor here

https://brainly.com/question/8765466

#SPJ4

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.

To solve more questions on equations, expressions and polynomials, visit the link below -

brainly.com/question/17421223

#SPJ1

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?

Learn more about slope intercept form here

brainly.com/question/9682526

#SPJ4

This s the answer

Answer y=(-1/4)x+10

Answer: 4.3%

Step-by-step explanation:

His accuracy was 22/23 which, as a percentage, is somewhere around 95-96%

To find his percentage error, you would do 1 - 22/23 (or the decimal- whichever you prefer)

1 - 22/23 ≈ 4.3% (as a decimal, it would be approximately 0.043)

If you're allowed to use a calculator, I recommend Desmos Scientific Calculator

I hope this helps!

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.

To know more about critical values, visit:

https://brainly.com/question/14508634

#SPJ4

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.

To learn more about the linear functionvisit,

https://brainly.com/question/4025726

#SPJ1

The value of x that the walkway will be equal to the area of the rectangular pool is 5 meters

Area of a rectangle is given by

length * width

Area of the pool

= 24 * 16

= 384

area of the walk way

= (24 + 2x) * (16 + 2x) - area of the pool

= 384 + 58x + 4x² - 384

= 4x² + 58x

when the area will be equal

4x² + 58x = 384

4x² + 58x - 384 = 0

solving the quadratic equation gives

x= 4.9386 OR -19.4386

ignore the negative value

x = 5 meters

at x = 5 meters the walkway will have same area with the pool

Learn more about quadratic equation at:

https://brainly.com/question/25841119

#SPJ1

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.

To know more about Algebra on:

https://brainly.com/question/24875240

#SPJ1

Answer: 60.80

Step-by-step explanation:

you saved 19.20

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.

Learn more about Transformations here

https://brainly.com/question/29641138

#SPJ4

The variable costs  will increase or decrease with an increase in production.

A variable cost could be a corporate expense that changes in the extent to how much a company produces or offers. Variable costs increment or decrease depending on a company's generation or sales volume. When production or deals increment, variable costs increment; when generation or deals decrease, variable costs decrease. Variable costs stand in differentiate from settled costs, which don't alter the extent of production or sales volume. Variable costs are a central portion in deciding a product's contribution margin, the metric utilized to decide a company's break-even or target profit level.

To know more about variable costs  refer to  the  link  brainly.com/question/27853679

#SPJ4

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.

More can be learned about linear regression at https://brainly.com/question/29613968

#SPJ1

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.

Learn more about Right triangle here:

brainly.com/question/2217700

#SPJ4

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

Learn more about relation here

brainly.com/question/8246747

#SPJ4

The correct slope of the line is 5/2 and the mistake made by Luis is that he didn't correctly interpret the scale of both x and y axes.

To find the slope, we will divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points

By looking at the given graph, we could easily suspect that the slope is 1/2, but then we have to look at it closely to get the correct thing.

The y-axis shows that 1 unit represents 5 while for the x-axis, 1 unit represents 1.

To get the slope, we need two points on the line (w, x) and (y, z), and the slope is given by the quotient:

m = (z - x)/(y - w)

Looking at the graph we can see that the points (0, 5) and (2, 10) are on the line, and as such the slope is;

m = (10  - 5)/(2 - 0) = 5/2

The slope of the linear equation is 5/2.

Read more about Slope of Line at; https://brainly.com/question/3493733

#SPJ1

The amount of money in her account after five years will be $1,292.74.

A loan or deposit's interest is computed using the starting principle and the interest payments from the ago decade as compound interest.

We know that the compound interest is given as

A = P(1 + r)ⁿ

Where A is the amount, P is the initial amount, r is the rate of interest, and n is the number of years.

A long time back Patricia put 1200 in a saving record with a 1.5% financing cost. Then the amount of money in her account after five years will be given as,

A = $1,200 × (1 + 0.015)⁵

Simplify the expression, then we have

A = $1,200 × (1.015)⁵

A = $1,200 × 1.07728

A = $1,292.74

The amount of money in her account after five years will be $1,292.74.

More about the compound interest link is given below.

brainly.com/question/25857212

#SPJ1