let L(c) be the length of the parabola f(x)=x from x = 0 to x = c, where c≥ 0 is a constant. a. Find an expression for L and graph the function. b. Is L concave up or concave down on [0,00)? c. Show that as c becomes large and positive, the arc length function increases as c²; that is L(c) kc², where k is a constant. O D. L(C)=(1+2c)³/2- Choose the correct graph of L(c) below. O A. O B. Av Q Q 20- 20+ Q ✔ b. Is L concave up or concave down on [0,00)? O A. L is concave down on [0,00). O B. L has regions that are both concave up and concave down on [0,00). O C. L is concave up on [0,00). c. If L(c) kc² for large positive values of c, then what must be true? O A. must approach zero as c approaches [infinity]o. L(c) O B. must approach a finite value as c approaches [infinity]o. L(c) O C. must approach one as c approaches [infinity]o. c² L(c) Evaluate the limit as c approaches [infinity]o. L(c) lim L(c)

Answer: Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:(-2,9)

Equation form: x=-2 y=9

Step-by-step explanation:

Point Form:(-2,9)

Equation form: x=-2 y=9

Answer:

Part A

1. Celsius

2. 100 C

3. 273.15 Kelvin.

4. 273, formula: °C + 273.15 = K.

5.  -273 celsius

6. Farenheit

Part B:

7. True

8. False, you add not subtract.

9. False, it's 373.1 K

10. True

Answer:

10

Step-by-step explanation:

10/10 For sure. I see that musical ly logo. Good times

Answer:

C.) 4

Step-by-step explanation:

y2 - y1/x2 - x1

m = 160 - 80/60 - 40

m = 80/20

m = 8/2

m = 4/1

m = 4

Answer:

4

Step-by-step explanation:

Answer:

5 : 7

Step-by-step explanation:

groom's side: 40

bride's side: 56

ratio groom to bride = 40/56 = 20/28 = 10/14 = 5/7

Answer: 5 : 7

5 cups=1 quart and 1 cup

1 quart=1 quart

take the cup from the top and add the 3 cups of crushed ice so that 4 cups

4 cups=1 quart

thats 3 quarts

3 quarts has 12 cups

12 cups divided by 6 is 2

each cup has 2 cups of smoothie

Division is one of the four fundamental arithmetic operations. The number of cups in each glass will be 2 cups per glass.

The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given that Kyle uses 5 cups of mangoes, 1 quart of yogurt, and 3 cups of crushed ice.

Now, since the yogurt quantity is given in quarts, therefore, the yogurt quantity in terms of cups is needed to be calculated.

Since 1 quart is equal to 4 cups, therefore, yogurt used by Kyle will be either 1 quart or 4 cups.

Further, the total amount of smoothies will be,

Total smoothie

= 5 cups of mangoes + 4cups of yogurt + 3 cups of crushed ice

= 12 cups

Furthermore, there are 6 large glasses, therefore, the number of cups in each glass will be,

Number of cups in each glass = Total smoothie / Number of glasses

                                                  = 12cups / 6 glass

                                                  = 2 cups per glass

Hence, the number of cups in each glass will be 2 cups per glass.

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16 + 7.86 = 23.86cm

The perimeter of an object is the distance around the object or figure.

we are given all the sides so we have to find the perimeter of the semi circle which is 7.86cm

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Answer:

The answer is option B.

The second graph.

Hope this helps you

Answer:

12^15

Step-by-step explanation:

(12^2)^7 would be 12^14 because the two exponents (2 and 7) will multiply each other. Then, you do 12^14 * 12, which would be 12^15 because you are multiplying 12 by itself one more time.

Answer:

P(B and B) = 1/9

Step-by-step explanation:

There are 4+3+5 = 12 tiles in total

The probability of selecting a B would be 4/12=1/3

When you are replacing a B tile, planning to pick a B tile again, the total tile count doesn't change. Therefore, because the two events are independent, their probabilities are multiplied and so P(B and B) = P(B) * P(B) = 1/3 * 1/3 = 1/9

The image showing the dimensions of the truck in question is missing, so i have attached it.

Answer:

Max amount of cargo that can fit in new truck = 756.39 cu.ft

Step-by-step explanation:

From the diagram attached, we can see that the delivery truck is in the form of a cuboid.

So let's say we extend the perpendicular line from the start of the extra ledge that sticks out to the top of the truck.

This will mean that we have now divided the big truck into 2 different cuboids which we will call C1 and C2.

For C2, We can see that the height is 6' 6", width is 7' 8", length is 14' 3".

Converting the dimensions to inches, we know that, 1 ft = 12 inches

Thus;

6' 6" = (6 × 12) + 6 = 78"

7' 8" = (7 × 12) + 6 = 90"

14' 3" = (14 × 12) + 6 = 174"

Thus, volume of cuboid = Length x width x height

Thus, volume of cuboid 1 is;

V1 = 78 × 90 × 174 = 1221480 cu.inches

Looking at the smaller cuboid C1, the height is 2' 7" and the width remains 7' 8".

To get the length, we have; length = 16' 9" - 14' 3" = 2' 6"

So Converting these to inches gives;

7' 8" = (7 × 12) + 8 = 92"

2' 7" = (2 × 12) + 7 = 31"

2' 6" = (2 × 12) + 6 = 30"

Volume of cuboid 2 is;

V2 = 92 × 31 × 30 = 85560 cu.inches

Total volume = V1 + V2 = 1221480 + 85560 = 1307040 cu.inches

Now, converting cu.inches to cu.ft, we know that;

1 cu.inches = 1/1728 cu.ft

Thus;

1307040 cu.inches = 1307040 × 1/1728 = 756.39 cu.ft

The degrees of freedom used in the the t distribution is 86.

We have to calculate the degrees of freedom using the given formula. The t distribution is used as the population mean and standard deviation is not known. The data of two samples from two different population are given, using which we have to compute degrees of freedom.

Given,

n1=40, n2=50

\(\bar{x_{1} }\)=32.2 , \(\bar{x_{2} }\)= 30.1

s1=2.8 , s2= 4.1

The

The degrees of freedom formula is given by

\(df=\frac{\left(\frac{s_1{ }^2}{n_1}+\frac{s_2^2}{n_2}\right)^2}{\frac{1}{n_1-1}\left(\frac{s_1^2}{n_1}\right)^2+\frac{1}{n_2-1}\left(\frac{s_2^2}{n_2}\right)^2} \\\)

Substituting the given values, we get

\(df=\frac{\left(\frac{2.8^2}{40}+\frac{4.1^2}{50}\right)^2}{\frac{1}{40-1}\left(\frac{2.8^2}{40}\right)^2+\frac{1}{50-1}\left(\frac{4.1^2}{50}\right)^2}\)

Further simplifying, we get

\(d f=\frac{(0.5322)^2}{0.0032917}\)

df= 86.04

Therefore, the degrees of freedom used after rounding off to the nearest integer is 86.

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Answer:

1. Equation: x/-9=-16

solution: x=144

2. Equation:15*x=-75

solution: x=-5

3.Equation:0.75n=36

solution: n=48

Step-by-step explanation:

Answer:

2.8452485e+12

Step-by-step explanation:

Answer:

12.2 gallons for $1.87, I would spend probably 2.87 for 24.4 gallons

(a) No, a triangle cannot have two obtuse angles. (b) No, a triangle cannot have two right angles.
(c) If no angle of a triangle measures more than 60°, then the triangle is an acute triangle.


(a) In a triangle, the sum of all three angles must be 180°. Since two obtuse angles would sum to more than 180°, it is not possible for a triangle to have two obtuse angles.
(b) In a triangle, the sum of all three angles must be 180°. Since two right angles would sum to 180°, it is not possible for a triangle to have two right angles.
(c) In an acute triangle, all three angles are less than 90°. If no angle of a triangle measures more than 60°, then all three angles are less than 90°, making it an acute triangle.

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Kindly check if any file is attached.

The actual width of the entire building is 28 feet and the length of the entire building is 84 feet.

The non linear equation is Option B.

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the non linear equation be represented as A

Now , the value of A is

The equation can be calculated as a linear equation if the slope of the point remains the same

So , when the slope m is constant , it will be a linear equation

a)

Let the first point be P ( 2 , 5 )

Let the second point be Q ( 4 , 17 )

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 17 - 5 ) / ( 4 - 2 )

Slope m = 12 / 2

Slope m = 6

Let the third point be R ( 7 , 35 )

Let the fourth point be S ( 13 , 47 )

Now , the slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope m = ( 47 - 35 ) / ( 13 - 7 )

Slope m = 12 / 6

Slope m = 2

Hence , the slope between the points is not the same and the equation of line will not be a linear equation

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The number of surveyed nurses that were health club members or were smokers is 227.

Let the total number of nurses be 800 nurses

n(U) = 800

Let H be health club members, n(H) = 564

Let S be smokers, n(S) = 430

If 325 of the health club members were smokers, then n(HnS) = 325 members.

The number of surveyed nurses that were health club members or were smokers = 800 - [( 564 - 430) + (564-325)].

The number of surveyed nurses that were health club members or were smokers = 600 - (134+239) = 600 - 373 = 227

The number of surveyed nurses that were health club members or were smokers is 227.

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Answer: 259,200 minutes

Answer:

5 (not real answer)

Step-by-step explanation:

you solve it :)

The correct option is A, where x = 8.

To solve the problem, we'll use the concept of the Law of Sines in trigonometry. Here's a step-by-step explanation:

1. We are given the equation: sin(46.5°)/x = sin(39.4°)/7

2. Our goal is to find the value of x.

3. To isolate x, multiply both sides of the equation by x:
sin(46.5°)/x * x = sin(39.4°)/7 * x
sin(46.5°) = x * sin(39.4°)/7

4. Next, multiply both sides of the equation by 7 to get rid of the denominator:
7 * sin(46.5°) = x * sin(39.4°)

5. Now, divide both sides by sin(39.4°) to solve for x:
x = 7 * sin(46.5°) / sin(39.4°)

6. Use a calculator to find the values of the sine functions and perform the calculations:
x ≈ 7 * 0.71934 / 0.63707
x ≈ 7.97574

7. Round the answer to the nearest whole number, which is 8.

So, the correct option is A, where x = 8.

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Answer:

2805 (including the 105)

Step-by-step explanation:

75 x 12 (months in a year) = 900

So then you multiply 900 x 3 (amount of years) = 2700

then you add the 105 + 2700 = 2805

The measure of the angle at the library is 90 degrees.

Since the library is the same distance from both Toru's house and the park, this means that the triangle formed by the three points is an isosceles triangle, with two sides of equal length and two congruent angles.

In an isosceles triangle, the two equal angles are always congruent and add up to 180 degrees. So, the measure of each angle at the library would be:

180 degrees / 2 = 90 degrees

So, the measure of the angle at the library is 90 degrees.

An isosceles triangle is a type of triangle where two sides are of equal length and two angles are congruent. The two equal sides are called the legs and the third side is called the base. The two equal angles are opposite the two equal sides and are located at the vertices that are connected to the base.

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The measure of the angle at the library is 90 degrees.

Since the library is the same distance from both Toru's house and the park, this means that the triangle formed by the three points is an isosceles triangle, with two sides of equal length and two congruent angles.

In an isosceles triangle, the two equal angles are always congruent and add up to 180 degrees. So, the measure of each angle at the library would be:

180 degrees / 2 = 90 degrees

So, the measure of the angle at the library is 90 degrees.

An isosceles triangle is a type of triangle where two sides are of equal length and two angles are congruent. The two equal sides are called the legs and the third side is called the base. The two equal angles are opposite the two equal sides and are located at the vertices that are connected to the base.

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The measures of central tendency of the first psychology exam in a semester are the average score, which was an 85.

The correlation coefficient and the range of scores from 95 to 65 are not measures of central tendency either.

The standard deviation is a measure of variability, not central tendency, that the measures of central tendency of the first psychology exam are the average and median scores. This states that the mode, correlation coefficient, range of scores, and standard deviation are not measures of central tendency.

Hence, the measures of central tendency for the first psychology exam in a semester are the average score (85) and the median score (80).

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The measures of central tendency for the psychology exam scores include the average, median, and mode.

The measures of central tendency of the first psychology exam in a semester include the average score, median score, and mode (most frequently occurring score).

The average score on the exam was 85, which represents the mean of all the scores.

The median score on the exam was 80, which represents the middle value when all the scores are arranged in order.

The most frequently occurring score was 82, which represents the mode of the scores.

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In Problem 1, the measure of each marked angle is as follows:292º, -112º, -282º, -46º, 380º, 96º, 326º, 508º, and 790º.In Problem 2, the angles indicated by the letters in the given figure are as follows:c = 65º, d = 95º, e = 65º, f = 95º, g = 85º, and h = 85º.

Problem 1:The measures of the marked angles are as follows:(7x + 19)º and (-3x + 5)º are supplementary angles since they are the interior angles on the same side of the transversal "V Vest".

Therefore, we can say: (7x + 19)º + (-3x + 5)º = 180º Simplifying, 7x + 19 - 3x + 5 = 180

Combine like terms and solve for x: 4x + 24 = 180 4x = 180 - 24 4x = 156 x = 39 Now substitute x = 39 in the given expressions and find the value of each angle.

(7x + 19)º = (7 × 39 + 19)º = 292º(-3x + 5)º

= (-3 × 39 + 5)º = -112º(-8x + 30)º = (-8 × 39 + 30)º

= -282º(32 - 2x)º = (32 - 2 × 39)º = -46º(10x - 10)º

= (10 × 39 - 10)º = 380º(2x + 18)º = (2 × 39 + 18)º = 96º(8x + 14)º

= (8 × 39 + 14)º = 326º(12x + 40)º = (12 × 39 + 40)º

= 508º(20x + 10)º = (20 × 39 + 10)º = 790º

Therefore, the measures of the marked angles are:292º, -112º, -282º, -46º, 380º, 96º, 326º, 508º, and 790º.Problem 2:The angles indicated by the letters in the given figure are as follows: Angle c: Corresponding angles with respect to the parallel lines n and m are equal. Therefore, we can say: c = 65º.Angle d: Vertically opposite angles are equal. Therefore, we can say: d = 95º.

Angle e: Alternate interior angles with respect to the parallel lines n and m are equal. Therefore, we can say: e = 65º.Angle f: Corresponding angles with respect to the parallel lines n and m are equal. Therefore, we can say: f = 95º.Angle g: Interior angles on the same side of the transversal are supplementary. Therefore, we can say: g = 180º - 95º = 85º.Angle h: Vertically opposite angles are equal. Therefore, we can say: h = 85º.

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The Slope of line is 10

the equation of line is y = 10x + 4.

The equation of a line is a formula that describes the relationship between the x and y coordinates of points on the line. The most commonly used form of the equation of a line is the slope-intercept form: y = mx + b

First make a chart for x and y values from the given graph;

Study time in hours (x) =  60    75    70     80    90    80   100   95   100

Grade % (y) =                       1       1       2       2      2       3      3      4      4

We know that the line equation, y = mx + b

Slope (m) = \(\frac{y_{2} -y_{1}}{x_{2} -x_{1}}\)

Take any two values from chart, (2, 80) and (4, 100)

Put the values then, m = \(\frac{100-80}{4-2}} = \frac{20}{2} = 10\)

m = 10

Therefore, the Slope of line is 10.

So, equation for (2, 80) is: y = mx + b

80 = 10 × 2 + b

b = 4

put the values in above line equation; y = 10x + 4

Therefore, the equation of line is y = 10x + 4

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Answer:

0.08 divided by 13.56 = 0.00589970501.

Step-by-step explanation:

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Answer: 0.00589970501