Terrell brought $5.00 to spend at the rink's concession stand. Hot dogs cost $0.65, French fries cost $0.80, nachos cost $1.25, and drinks cost $0.95. If Terrell buys French fries and a drink, what is the maximum number of hot dogs he can purchase?

Answers

Answer 1

Answer:

5 hotdogs

Step-by-step explanation:

Deduct the price of French fries + drink from the total amount of money he has.

5.00 - 0.80 - 0.95 = 3.25

Divide the amount of money left with the amount of money each hotdog cost.

3.25 ÷ 0.65 = 5


Related Questions

Please help I don’t understand!

Answers

Therefore , we can conclude from answering the given question of equation that dy/dx =2t² = > dy/dxat (5,3) = -2 is the solution to the following problem.

Describe equation.

An equation is an mathematical formula that joins two statements with the equivalent symbol = to express equality. In algebra, an equation is defined as a formula that asserts that two formulae are equivalent. For instance, an equal sign separates the components three times + 5 and 14 in the equations 3x + 5 = 14. In mathematical formulas, especially equations, the equal sign is a necessary varaibles. Equations frequently make use of algebra. When we don't have a precise quantity to compute in math, algebra is used.

Here,

In this instance,

x=5 + In(t)

=>y=t² + 2

=> dx/dt=1/t

=>dy/dt=2t

=>dy/dx=2t²

=> dy/dx at (5,3) = -2

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Glen is asked to convert 21 feet to yards he knows that 3 feet = 1 yard his work is shown explain glens error and show how to use a rate to find the correct solution

Answers

Answer:

Step-by-step explanation:

the answer if 7 yards because 21 feet divided by 3feet per yard you would get 7 yards

The volume of fuel in a tank changes at a rate given by the equation:
V′(t)=4t/√(t^2+33_, t≥0. At t=√7 hours the tank holds 9.3 gallons. What is the volume of fuel in the tank after 6 hours?
Round answer to one decimal place.

Answers

The volume of fuel in the tank after 6 hours is 97.5 gallons.

To find the volume of fuel in the tank after 6 hours, we need to integrate the rate of change of the volume, given by V′(t)=4t/√(t^2+33), with respect to time from the initial time of t=√7 hours to t=6 hours.

The integral of V′(t) with respect to t is V(t)= 2/3 (t^3 + 33t) + C

We know that when t = √7 hours, the volume of fuel in the tank is 9.3 gallons. So we can use that information to find the value of the constant C.

9.3 = 2/3 (√7^3 + 33√7) + C

C = 9.3 - 2/3 (7^3/2 + 337^1/2)

C = 9.3 - 2/3 (343/2 + 337^1/2)

C = 9.3 - 2/3 (343/2 + 231)

C = 9.3 - 2/3 (574)

C = 9.3 - 382 = 5.5

Now we can substitute t = 6 into the equation for V(t) to find the volume of fuel in the tank after 6 hours.

V(6) = 2/3 (6^3 + 33*6) + 5.5

V(6) = 2/3 (216 + 198) + 5.5

V(6) = 2/3 (414) + 5.5

V(6) = 276/3 + 5.5

V(6) = 92 + 5.5 = 97.5

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1/4 cup are in 4 cups​

Answers

The possible values for the number of hours lifeguarding, is 5,4 hours  and the number of hours tutoring, is 5,6 hours that Brianna inequality equation  can work in a given week.

What does a mathematical inequality equation mean?

In Algebra, an inequality is a mathematical statement that uses the inequality symbol to depict the relationship between two expressions. An inequality sign has non-equal expressions on both sides.

Use these steps to resolve an inequality: Eliminate fractions in Step 1 by multiplying all terms by the total fractions' lowest common denominator. On both sides of the inequality, combine like phrases to simplify in Step 2. To get the unknown on one side and the numbers on the other, add or subtract the appropriate amounts.

16h + 11t ≥ 130

16*5=80, 16*4=64

11*5=55, 11*6=66

80x+55y>130

64x+66y>130

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Find an angle θ conterminal −464 ° , where 0 degree ≤θ<360 °

Thank you!

Answers

The coterminal angles of -464° are -104° and -824°.

What are coterminal angles?

Coterminal angles are the angles that have the same initial side and terminal sides.

To find the coterminal angle we add or subtract 360° from the given angle.

We have,

Angle = -464°

The coterminal angles of -464°.

(-464 + 360)° and (-464 - 360)°

Now,

(-464 + 360)° = -104°

(-464 - 360)° = 824°

Thus,

The coterminal angles are -104° and -824°.

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A college student plans to use a credit card to cover the cost of purchasing a $3,200 campus meal plan. If the credit card has annual interest rate of 12.99% compounded continuously and the student plans to pay off the loan in 15 months, how much interest will be owed? $739.25 $688.41 $588.69 $564.16

Answers

If a college student plans to use a credit card to cover the cost of purchasing a $3,200 campus meal plan. The amount of interest that will be owed is: D. $564.16.

How to find the interest amount?

Using this formula to

I=   Pe^rt - P

Where:

I = Interest amount = ?

P = Principal = $3,200

e = Exponential

r = Rate = 12.99% or 0.1299

T =Time = 15 months/12 = 1.25

Let plug in the formula

Interest amount = ( $3,200e^0.1299× 1.25) - $3200

Interest amount = ( $3,200e^0.162375) -  $3,200

Interest amount =  $3,764.16 -$3,200

Interest amount = $564.16

Therefore we can conclude that the correct option is D.

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1) In the given figure, name (a) the vertex opposite A to side AB (b) the angle opposite to side AC (c) the angle made by the sides CB and CA.​

Answers

In this case, the arms of $angle ABC$ are represented by AB and AC, which are two rays that unite to make an angle. The vertex of angle $angle ABC$ is B in this case. It is the common terminal point where rays meet to form an angle.

What is vertex in angle ABC?The vertex and arm of the provided ABC must be found in this question. Vertex information is required for this puzzle. Angles are formed when two rays share a terminal. The vertex is the term for the shared endpoint. Alternatively, vertex refers to the shared terminal point where two rays converge to form an angle. Likewise, we must understand what an angle's arm is. An angle's arm is made up of the two rays that unite to make it. Here, an angle of ABC was provided. Specifically, we must identify the angle's vertex and arm.The arms of the ABC formula are represented by AB and AC, two rays that unite to make an angle.The vertex of ABC is the common terminal point where rays converge to form an angle. In this case, B is the vertex.AB and AC make up the arms of ABC, and B serves as the vertex.

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Consider the function f(x) = x ^ x + 5 with domain x >= 0 , and its Inverse , f ^ - 1 * (x) = sqrt(x) - 5 What are the domain and range of f(x) and f ^ - 1 * (x) Express the domain and range as Inequalities

Answers

Regardless of the sign of the inequality, the domain and range of a linear inequality are always all real numbers.

How do you find the domain of an inequality?

Regardless of the inequality's sign, the domain and range of a linear inequality always include all real numbers. The vertex will determine the scope of the absolute value inequality. Intervals of the x values derived from zeros will decide the domain and range for polynomial inequalities.

The domain of the function is all values of x that are larger than or equal to zero, and we would write Read as an inequality if it were a mathematical statement. Inequalities is a good place to learn more about them. The identical function has a domain of in 'interval notation'. This is used to define the range of numbers from 0 to positive infinity.

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Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options. x < 5 –6x – 5 < 10 – x –6x + 15 < 10 – 5x A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right. A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.

Answers

Answer: x < 5 and –6x + 15 < 10

Step-by-step explanation:

Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options. x < 5 –6x – 5 < 10 – x –6x + 15 < 10 – 5x A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right. A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.

Students in jakes class were numbered in order from 1 to 24 jake was asked to choose classmates numbered with multiples of 5 to be in his group which number could be the number of a classmate in his group

Answers

Answer:

the possible classmates numbered with multiples of 5 that Jake can choose are 5,10,15,20.

Step-by-step explanation:

Multiples of 5 are numbers that are obtained by multiplying 5 by any whole number. So, to find the classmates numbered with multiples of 5, we can start by multiplying 5 by 1, then by 2, 3, and so on. The first few multiples of 5 are 5, 10, 15, 20, 25 and so on. Since the students are numbered from 1 to 24, only students whose numbers are less than or equal to 24 can be chosen.

So the possible classmates numbered with multiples of 5 that Jake can choose are 5,10,15,20.

Please help me solve this question

Answers

Answer:

Hope this helped thanks

Use a system of equations to solve the following problem.
The sum of three integers is 45. The sum of the first and second integers exceeds the third by 69. The third integer is 65 less than the first. Find the three integers.

Answers

Answer:

53, 4, -12

Step-by-step explanation:

Let the first, second, and third integers be a, b, and c, respectively.

a + b + c = 45

a + b = c + 69

c = a - 65

Using the third equation, substitute the value of c, a - 65, for c in the first two equations.

a + b + a - 65 = 45

a + b = a - 65 + 69

2a + b = 110

b = 4

2a + 4 = 110

2a = 106

a = 53

c = a - 65

c = 53 - 65

c = -12

a = 53; b = 4; c = -12

Answer: 53, 4, -12

Confusing question:
Please help quickly!

Answers

The value of angle x based on the information given is 45°.

How to determine the value of angle x?

Geometry is a branch of mathematics that deals with shapes, angles, dimensions and sizes of different things we see in everyday life

From the image ∠BEC = 160°, ∠FED = 115° and ∠AEF = x°

∠AEC = 180 - 160 = 20° (sum of angles on a straight line)

∠DEB = ∠AEC (vertically opposite angles)

∠DEB = 20°

It should be noted that vertically opposite angles are equal just as denoted above.

x = 180 - ∠DEB - ∠FED  (sum of angles on a straight line)

It should be noted that the sum of angles that are on a straight line is 180°.

x = 180 - 20 - 115

x = 45°

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The following data represent the weight of a child riding a bike and the rolling distance achieved after going down a hill without pedaling. Weight (lbs.) Rolling Distance (m.) 59 26 84 43 97 48 56 20 103 59 87 44 88 48 92 46 53 28 66 32 71 39 100 49 Can it be concluded at a 0.05 level of significance that there is a linear correlation between the two variables?

Answers

It can be concluded that there is a significant linear relationship between weight and rolling distance at a 0.05 level of significance.

How to determine the true statement

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

Weight (lbs.) Rolling Distance (m.)

59 26

84 43

97 48

56 20

103 59

87 44

88 48

92 46

53 28

66 32

71 39

100 49

Using a graphing calculator, we have the following summary:

t = 2.739

df = 10

p-value = 0.0208

The p value is less than 0.5

So, we accept the alternative hypothesis

Hence, there is a significant relationship

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in order to graph your solutions solve for the variable be sure to show your work

Answers

Variable x isb5 is the answer to the equation 6 is 3x - 9 in the given situation.

The equation is what?

A mathematical statement is considered to be an equation if it contains at least two terms with equal amounts of variables or integers.

We can start by focusing on the variable on one side of equation 6 = 3x - 9 in order to find a solution. We may accomplish this by adding 9 to both sides, giving us:

6 + 9 = 3x

Simply put, this means:

15 = 3x

The next step is to divide the equation's two sides by 3, which will yield the answer to the question "what is x?"

15/3 = 3x/3

We obtain 5 = x by simplifying.

Consequently, x = 5 is the answer to the variable.

The complete question is,

Locate the answer to the variable in the following equation. Use entire sentences to describe the problem-solving procedure you used to come up with a solution, and be sure to present all of your efforts. Include two words from the word bank at the very least.

6 = 3 x - 9.

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A particle moves along a line so that its velocity is given by v(t)=-t^3+2t^2+2^-t for t>0. For what values of t is the speed of the particle increasing? The answer is (0.177,1.256) and (2.057, infinity).

Answers

For the values running between (0, 0.177) ∩ (2.057, ∝) the speed of the particle moving with velocity v(t)=-t³+2t²+2^(-t) will be increasing.

Here we are given an equation of the velocity of the particle to be

v(t)=-t³+2t²+2^(-t)

Now taking the first derivative of v(t) and equating it to 0 we get

v'(t) = -3t² + 4t - 2^(-t)log2 = 0

Using Shreedharachara's method of solving quadratic equations we get the values of t to be

1.25635 and 0.17634

Now these 2 values are the points of inflexion, hence we will now take values a little lesser and greater than these 2 values to determine the increasing points of the function

Let's consider 0.16, 0.18, and 1.3

v'(0.16) = -0.0572

v'(0.18) = 0.0109

v'(1.3) = -0.152

Hence here we see that the values of the first derivative will be negative

for (0, 0.177) ∩ (2.057, ∝)

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Given f(x) = 2x - 3, find f(3).

Answers

Answer:

f(3) = 3

Step-by-step explanation:

f(x) = 2x - 3

f(3) = 2(3) - 3

f(3) = 6 - 3

f(3) = 3

oes the name describe the quadrilateral? Choose yes or no.

A quadrilateral has two pairs of opposite sides and no right angles. The opposite sides are parallel and equal in length, but adjacent sides are not the same length.

parallelogram
Choose...

trapezoid
Choose...

rhombus
Choose...

rectangle
Choose...

Answers

Answer:

1) parallelogram: Yes

2) trapezoid: No

3) rhombus: No

4) rectangle: No

Step-by-step explanation:

1) A parallelogram has two pairs of opposite sides and no right angles. The opposite sides are parallel and equal in length, but the adjacent sides are not the same length.

2) A trapezoid's opposite sides are parallel but not equal.

3) All sides of a rhombus are equal.

4) The four sides of a rectangle are right-angled.

John has 37 marbles for his collection. He gives 17 marbles to his friend Zach. How many marbles does he have left?

Answers

Answer:

20

I wish you good luck on your assignments.

Let's be any real number such that 4 < √ s <9. Which of the following is a possible value of s?
A. 2.5
B. 7.6
C. 12.7
D. 39.3
E. 82.4

Answers

The possible real number for the variable s is 39.3 (letter D).

Power and Square Roots

It is common in math solutions, you multiply a number by itself.  See the examples below.

2 x 2 =4

3 x 3 = 9

4 x 4 = 16

In math, you can use the power to represent a multiply a number by itself using the operation power. Let's consider the previous example for a better understanding.

2 x 2 = 2²

3 x 3 = 3²

4 x 4 = 4²

Therefore, the power represents the number of times the numeral repeats in a product. It is important to know that the inverse operation of power is the root. Thus,

2²=4 and [tex]\sqrt{4}[/tex]= 2

The question asks you the possible value of s.

If  [tex]4 < \sqrt{s}[/tex], you can apply power operation on both sides, for eliminating the root.

[tex](4)^2 < (\sqrt{s})^2\\ \\ 16 < s[/tex]

Another inequality is [tex]\sqrt{s} < 9[/tex]. Then, one more time you will apply power operation on both sides, for eliminating the root.

[tex](\sqrt{s})^2 < (9)^2 \\ \\ s < 81[/tex]

Combining the intervals you have: 16< s< 81.  Now, let's analyze the given options.

A. 2.5  - It is not contained in the given range 16< s< 81.

B. 7.6  - It is not contained in the given range 16< s< 81.

C. 12.7 - It is not contained in the given range 16< s< 81.

D. 39.3 -  It is contained in the given range 16< s< 81.

E. 82.4 - It is not contained in the given range 16< s< 81.

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Use the distributive property to write an equivalent expression. Then
evaluate the expression
3(2+12)
Equivalent Expression
=

Answers

First multiply the outside number by the inside number 3 x 2 = 6 and 3 x 12 equal 36 then add 36 + 6 = 42

Answer to the graph ok

Answers

Answer:

(4,-3)

Step-by-step explanation:

The point at which the line’s cross is the solution

The definition of the absolute value of a number is its magnitude, or distance, from zero. How do these two definitions connect?

Answers

The way that the definitions of the absolute value of a number, connect is that the absolute value of a number is the positive representation of the number's distance from zero.

What is absolute value ?

The absolute value of a number is the numerical value of a real number without regard to its sign. In other words, the absolute value of a number is the number's distance from zero on the number line. The absolute value of a number is always positive or zero, and is written as the number inside of absolute value notation, which is two vertical lines on either side of the number, like so: |number|. For example, the absolute value of -5 is 5, and the absolute value of 5 is also 5.

The distance from zero is the same as the magnitude of a number, and the absolute value of a number is a non-negative representation of its magnitude. So, in other words, the absolute value of a number is its distance from zero on the number line. The two definitions are connected because the absolute value of a number is a positive representation of its distance from zero.

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1 2 3 4 5 6 7 8 9 10 A graph has quantity on the x-axis and price on the y-axis. Demand curve points are at (20, 70), (40, 40), (60, 10).A graph has quantity on the x-axis and price on the y-axis. A demand line goes through (20, 70), (40, 80), (60, 90). Based on the demand graph and the supply graph shown above, what is the price at the point of equilibrium? a. 100 b. 70 c. 40 d. There is not enough information given to determine the point of equilibrium. Please select the best answer from the choices provided A B C D Mark this and return

Answers

Answer:

B) 70

Step-by-step explanation:

What is the probability that a test correctly rejects a false null hypothesis called? Choose the correct answer below. A. P-value B. power of the test C. Type II error D. significance level

Answers

The correct answer is B. power of the test

The probability that a test correctly rejects a false null hypothesis is referred to as the power of the test. It is a statistical measure that helps us to determine the effectiveness of a test in detecting a real difference or effect when it exists. The power of the test is generally represented by the Greek letter beta (β) and is calculated as 1-β.

A test with a high power value is more likely to correctly reject a false null hypothesis, which means it is better at detecting the real difference or effect when it exists. On the other hand, a test with a low power is more likely to fail to reject a false null hypothesis, which means it is not as effective in detecting the real difference or effect. The p-value and significance level are also statistical measures used in hypothesis testing, but they are not directly related to the power of the test.

P-value refers to the probability of observing a test statistic as extreme or more extreme as the one observed, given that the null hypothesis is true. Significance level refers to the threshold of p-value beyond which the null hypothesis will be rejected.

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Question 6(Multiple Choice Worth 2 points)
(Linear Relationships LC)

Which of the following tables represents a linear relationship that is also proportional?


x y
0 0
4 2
8 4

x y
0 1
2 3
4 5

x y
0 2
3 5
6 8

x y
0 3
6 5
12 7

Answers

Table 1 is the correct answer.

What are linear equations?

Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.

Given: Table 1

x y

0 0

4 2

8 4

Clearly here x=2y which is proportional equation with 2 being the constant with x varying directly with the value of y

Hence, Table 1 is the correct answer.

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Given polynomials p(x), q(x), and r(x), p(x) + ( q(x) + r(x) ) = ( p(x) + q(x) ) + r(x)
To verify the associative property of addition, begin by finding the sum of the polynomials:

(3x + 4) + ((5x2 - 1) + (2x + 6))

Answers

Associative property of addition is applied in adding the polynomials to give

5x² + 5x + 9

What is associative property of addition?

According to the associative property of addition, altering how the addends are grouped has no effect on the sum.

This is applied in the addition of the given polynomial (3x + 4) + ((5x² - 1) + (2x + 6))

Addition of the polynomial

= (3x + 4) + ((5x² - 1) + (2x + 6))

= (3x + 4) + (5x² + 2x + 5)

= 5x² + 2x + 3x + 5 + 4

= 5x² + 5x + 9

altering the addends

= (5x² - 1) + ((3x + 4) + (2x + 6))

= (5x² - 1) + (3x + 4 + 2x + 6)

= 5x² - 1 + 5x + 10

= 5x² + 5x + 9

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according to the u.s. census bureau, 23.5% of people in the united states are under the age of 18. in a random sample of 250 residents of a small town in ohio, 28% of the sample was under 18. which one of the following statements is true?

Answers

The percentage of people under 18 in the sample of 250 people from Ohio is higher than the percentage of people under 18 in the United States.

This can be demonstrated mathematically using the following formula: (28/250)*100 = 11.2%. This is higher than the US percentage of 23.5%, which indicates that the sample of 250 people from Ohio had a higher proportion of people under 18 than the US population as a whole. To calculate this, we can use the formula to find the difference between the two percentages: (28% - 23.5%) = 4.5%. This means that the small town in Ohio has a higher percentage of people under 18 than the national average. Therefore, it is true that the percentage of people under 18 in the small town in Ohio is higher than the national average.

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Mr. Luthi is taking his 30 passing students on a field trip to the aquatic center. They will all get a ticket to
enter and swim as well as a serving of pizza and ice cream that costs $3 per student. Ms. Byer's is taking her
12 passing students on a field trip to the museum. Their tickets cost twice as much and they all get a
souvenir t-shirt for $10. Ms. Byers and Mr. Luthi paid the same amount for their field trips. How much did
tickets to each field trip cost?

Answers

The total trip cost approx $140

What is the unitary method?

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

Given here: Mr. Luthi took 30 passing students and they each get a pizza and a ice cream. let the cost of the ticket be t then we have

Cost = 30t+90

Similarly for Mr. Byers students the total cost is=12t+120

Now as per question they paid the same amount for the field trips '

Thus we have, 30t+90= 12t+120

                         18t=30

                             t=$1.66

Thus 12t+120= 140(approx)

Hence, The total trip cost approx $140

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Solve the system of equations by graphing.
y = -2
y = -3
2
x + 4

Answers

The system of graphs is a very unique concept which helps to understand various concepts in a visual way.

How does this occur?

The two lines intersect at (-3, -4), which is the system of equations' solution.

Using the slope and y-intercept, graph an equation as follows:The equation y = mx + b's y-intercept can be found.Determine the y-intercept. The purpose will be (0, b).The slope=m of the equation y = mx + b can be found.Run from the slope while taking a single step using the rise.Your line should join those two spots.

This is how the equation can be solved-

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Of the following, which choices most likely have low NDVI values? Select all that apply.a. tropical rainforests b. blooming alfalfa fields c. a lack of biomass d. diseased vegetation the drawbacks to mediated communication include all of the following except using time and materials pricing, what is the total price for services requiring 3 direct labor hours and $158 of materials? Determine the quantity or chlorine, in kilograms per day, necessary to disinfect a daily average primary effluent -flow of 40,000 m/d. Use a dosage of 16mg/L, and size the contact c hamper (i.e., calculate its volume) for a contact time or 15 minutes at peak flow, which is assumed to be two times the average flow. use a known maclaurin series to obtain a maclaurin series for the given function. f(x) = xe3x f(x) = [infinity] n = 0 find the associated radius of convergence, r. use greens theorem in order to compute the line integral i c (3cos x 6y 2 ) dx (sin(5y ) 16x 3 ) dy where c is the boundary of the square [0, 1] [0, 1] traversed in the counterclockwise way. which excerpt from the passage best shapes the idea that it is important for NASA to develop technologies for conserving and purifying water on spacecrafts accoding to the excerpt from space-age water conservation 40 POINTSSSS!!!!Select three sentences that together provide the best objective summary of the passage. Find three angles, two positive and one negative, that are coterminal with the given angle: 5/9. Matthew has 3. 5 pounds of clay to make ceramic objects. He needs 1/2 of a pound of clay to make one bowl. A. How many bowls can Matthew make with his clay Match the following electrolyte with its appropriate description and location: Sodium.A. Most abundant positive electrolyte in intracellular fluidB. Most abundant positive electrolyte in extracellular fluidC. Most abundant negative electrolyte in extracellular fluidD. Most abundant negative electrolyte in intracellular fluidE. Least abundant positive electrolyte in extracellular fluid in a webinar, participants expect to interact with the speaker and presentation through polls, questions, and even live chat with the speaker. a. true b. false draw and upload a separation scheme for the isolation of isopentyl acetate from the reaction mixture. Select the correct mechanism responsible for the formation of the Oort cloud and the Kuiper belt. the ejection of planetesimals due to their gravitational interaction with giant planets the ejection of planetesimals due to radiation pressure from the Sun the ejection of planetesimals due to the explosive death of a star that preceded the Sun the formation of planetesimals in their current locations, far from the Sun both the level on consumer debt and the number of bankruptcies filed have increased markedly over the past 30 years. true or falsr Juan and Rajani are both driving along the same highway in two different cars to a stadium in a distant city. At noon, Juan is 260 miles away from the stadium and Rajani is 380 miles away from the stadium. Juan is driving along the highway at a speed of 30 miles per hour and Rajani is driving at speed of 50 miles per hour. Let J represent Juan's distance, in miles, away from the stadium t hours after noon. Let R represent Rajani's distance, in miles, away from the stadium t hours after noon. Graph each function and determine the interval of hours, , t, for which Juan is closer to the stadium than Rajani. (q014) attempts to restrict womens access to abortion by passing laws mandating counseling, parental consent, and stricter regulations on clinics are examples of Find the second Taylor polynomial P2(x) for the function f (x) = ex cos x about x0 = 0.a. Use P2(0.5) to approximate f (0.5). Find an upper bound for error |f (0.5) P2(0.5)| using the error formula, and compare it to the actual error.b. Find a bound for the error |f (x) P2(x)| in using P2(x) to approximate f (x) on the interval [0, 1].c. Approximate d. Find an upper bound for the error in (c) using and compare the bound to the actual error. What can clients use to get a software product fixed if it fails within a predetermined period?In the event that a software product fails within a predetermined period, clients use a _______in order to get the product fixed rue or false: we can determine the p-value for a one-sided hypothesis test by dividing the two-sided p-value in half. true false