A group of friends wants to go to the amusement park. they have $69.75 to spend on parking and admission. parking is $17.25, and tickets cost $17.50 per person, including tax. write an equation which can be used to determine p, the number of people who can go to the amusement park.

Answers

Answer 1

Equation and solution of equation :

17.25 + p(17.50) = 69.75

17.25 + 17.50p = 69.75

17.50x = 69.75 - 17.25

17.50p = 52.50

p = 52.50/17.50

p = 3

So three people can go to the amusement park (assuming that they are all travelling together in the same car).

Answer 2

The equation that represents the number of people who can go to the amusement park will be 17.50p + 17.25 = 69.75.

What is a linear equation?

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

A group of friends wants to go to the amusement park. they have $69.75 to spend on parking and admission. Parking is $17.25, and tickets cost $17.50 per person, including tax.

Let p be the number of people. Then the equation is given as,

17.50p + 17.25 = 69.75

The equation that represents the number of people who can go to the amusement park will be 17.50p + 17.25 = 69.75.

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Related Questions

Joe's employer will reimburse him $0.17 per mile driven. If Joe drives 185.74 miles on a business trip, what is his mileage reimbursement? Round your answer to the nearest cent.

Answers

how do you not know how to do this

0.17 times 185 = $136.9 or $137

(0.74 is not 1 mile)

Answer:

$31.58

Step-by-step explanation:

Reimburse for 1 mile,

→ $0.17

Then reimbursement for 185.74 miles,

→ 185.74 × 0.17

→ 31.5758

→ $31.58

Hence, the answer is $31.58.

I need help please I’ll give extra points

Answers

Answer:

The answer is A) 1 1/4, I hope it helps

Answer:

x = 5/4

answer is A

Step-by-step explanation:

HELPPP ASAP
What is the product of the solutions to the equation?
(2x +4) = 14
A 45
B 81
C 0
D -81
E -45

Answers

Answer:

no answer

Perhaps: E -45

Step-by-step explanation:

(2x + 4) = 14

2x + 4 = 14

2x = 10

x = 5

This equation has only 1 solution.

There cannot be the product of the "solutions" when there is only 1 solution.

Perhaps you meant this (absolute value, not parentheses):

What is the product of the solutions to the equation?

|2x +4| = 14

A 45

B 81

C 0

D -81

E -45

|2x + 4| = 14

2x + 4 = 14 or 2x + 4 = -14

2x = 10  or  2x = -18

x = 5 or x = -9

The product of 5 and -9 = -45

Answer: E -45

Complete the description of the piecewise function graphed below. Use interval notation to indicate the intervals.

Answers

Answers:

[-5, -2]

(-2, 3]

(3, 6]

=====================================================

Explanation:

This piecewise function is made of 3 separate functions of...

f(x) = 5 when  [tex]-5 \le \text{x} \le -2[/tex]

f(x) = 4 when [tex]-2 < \text{x} \le 3[/tex]

f(x) = -3 when [tex]3 < \text{x} \le 6[/tex]

--------

The interval [tex]-5 \le \text{x} \le -2[/tex] turns into the interval notation [-5, -2]

Use square brackets to include each endpoint. Each endpoint is included because of the closed filled in points.

In contrast, the interval [tex]-2 < \text{x} \le 3[/tex] has an open hole at -2 and so it turns into (-2, 3]

A similar situation happens with the interval [tex]3 < \text{x} \le 6[/tex] to become (3, 6]

Find the range of the relation.

A. {-6, -5, -3, -1, 0, 3, 6}

B. {-6, 6}

C. {-6, -3, 0, 3, 6}

D. {-5, -3, -1, 1, 3}

Answers

The range of the given relation in the table is option C {-6,-3,0,3,6}

Here first column x represents the domain of the function

Domain is the set of all possible input for the function.

Second column y represents the range of the function

Range is the set of all possible output for the function.

Here the set of all possible inputs of the functions are {-5,-3,-1,1,3}

The set of all possible outcomes of the functions are {-6,-3,0,3,6}

Then the range of the relation in the table = {-6,-3,0,3,6}

Hence, the range of the given relation in the table is option C {-6,-3,0,3,6}

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Write this number in words: 1.001510512 (with decimals)

Answers

The decimal 1.001510512 when written in words is;

One and one million five hundred ten thousand five hundred and twelve hundred millionths

Write the decimal in words?

We can write decimal in words by acknowledging the fact that one part is a whole number while the other part is a fraction. For example;

20.009 in words is; Twenty and nine thousandths

8.406 in words is; Eight and four hundred six thousandths

26.0502 in words is; Twenty-six and five hundred two ten thousandths

6.5904 in words is; Six and five thousand nine hundred four ten thousandths

63.1254 in words is; Sixty-three and one thousand two hundred fifty-four ten thousandths

Thus, we can conclude that the decimal 1.001510512 when written in words is;

One and one million, five hundred ten thousand five hundred and twelve hundred millionths

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Determining a Segment Length

how do i solve 4x-1

Answers

TQ is the same as TS which is 26

I REALLY NEED HELP ASAP. Yari says that the product 230×104 has four zeroes. Is she correct? In the box below, explain your answer including how patterns for multiplying by powers of 10 help determine the final answer. Show your work to support your conclusion.

I need help please. I'll mark brainliest.

Answers

Yari says that the product 230×10⁴ has four zeroes. She is incorrect.

How to calculate the value?

It should be noted that from the information, Yari says that the product 230×10⁴ has four zeroes.

This will be confirmed below:

= 230 × 10⁴

= 230 × 10000

= 2300000

Therefore, the product has 5 zeros. She is incorrect.

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Tell me what order these go in

Answers

Answer:

I suppose is division multiplication subtraction then addition

Step-by-step explanation:

X
-5
1
4
6
y
9
0
-7
-1
What is the range of the given function?
{x|x=-5, 1, 4, 6)
y ly=-7, -1, 0, 9}
O {x|x=-7, -5, -1, 0, 1, 4, 6, 9}
O
y ly=-7, -5, -1, 0, 1, 4, 6, 9)

Answers

The range of the given function is {y | -7 -1 0 9}

How to determine the range of the given function?

The table of values is given as:

x -5 1 4 6

y 9 0 -7 -1

List out the y values

So, we have:

y 9 0 -7 -1

The y values represent the range

So, we have

Range = {y | 9 0 -7 -1}

Order from least to greatest

Range = {y | -7 -1 0 9}

Hence, the range of the given function is {y | -7 -1 0 9}

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this visual representation shows the sets of real numbers. classify the number −25. select all terms that are correct. natural whole integer rational irrational −25 natural – negative 25 whole – negative 25 integer – negative 25 rational – negative 25 irrational – negative 25

Answers

Classify the number -25.

Natural, Whole, Integer, Rational, Irrational.

25 is a rational number. This number is a whole that may be expressed as the fraction 25/1.

What is meant by negative number?

This wouldn't be a natural number because -25 is a negative number.

Since -25 isn't a positive number, this wouldn't be a whole number.

the whole number 85 is -85, which is a negative number. -85 is consequently an integer. Negative numbers are rational numbers.

square integers are frequently irrational, -25 is a square root.

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Which is an equivalent expression for (22 • 34)3?

Answers

The equivalent expression of the expression given as: (2^2 • 3^4)^3 is (2^6 • 3^12)

How to determine the equivalent expression?

The expression is given as:

(2^2 • 3^4)^3

Expand the exponents of the above expression

(2^2 • 3^4)^3 = (2^2)^3 • (3^4)^3

Evaluate the product of exponents

(2^2 • 3^4)^3 = (2^6) • (3^12)

Rewrite the above expression as:

(2^2 • 3^4)^3 = (2^6 • 3^12)

Hence, the equivalent expression of the expression given as: (2^2 • 3^4)^3 is (2^6 • 3^12)

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8) the lion at the zoo became ill and lost 6 pounds every week for 3 weeks. in the fourth week, she began to feel better and gained 5 pounds. write and find the value of an expression for the change in the lion's weight.

Answers

Answer:

w - 13.

Step-by-step explanation:

Change in weight

= w - 3(6) + 5   where w is her original weight.

= w - 18 + 5

= w - 13.

1. Ralf and Susie share $57 in the ratio 2:1.
(a) Calculate the amount Ralf receives.
(b) Ralf gives $2 to Susie.
Calculate the new ratio Ralf's money: Susie's money.
Give your answer in its simplest form

Answers

Ralf receives total amount of 38$.

Susie receives total amount of 19$.

What do you mean by amount?

Raff gets 2x

Suzie gets x

2x + x = 57 dollars

3x = 57 dollars

x = 19 dollars

2x = 38 dollars

Aggregation attempting to calculate the time it will take by looking at the overall number or quantity.

To sum up to a total is the definition of amount. A restaurant bill for four individuals that totals $50 is an example of the costs of four meals that come to $50.

To achieve success or importance. The words "amount to anything" or "amount to something," which both indicate the same thing, are almost always used.

Amount can be a noun or a verb, as was said above. Use of the noun: Add a little water to the dish. The quantity of food required vary each dog. It is three bucks and change, to be exact.

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the standard deviation for using a certain radar speed detector is 0.56 mph for vehicle speeds around 30 mph. if you were traveling 33 mph in a 30 mph zone and if a police officer used this speed detector, what is the probability that you would be clocked at below the speed limit?

Answers

0.0001 is a very tiny possibility that you will get caught driving slower than the posted speed limit.

What is probability?

Probability is a branch of mathematics that deals with the numerical representations of the likelihood that an event will occur or that a statement is true. A number between 0 and 1 is the probability of that an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

How can you calculate the probability?

By simply dividing the actual favorable amount of possibilities by the entire number of possible outcomes, one can use the probability formula to determine the likelihood of an event.

According to the given data:

Given,

radar speed detector is 0.56 mph.

inital speed  = 33mph

final speed  = 30mph

finding the probability that we clocked at below the speed limit.

so,

p(Z<(inital- final)/speed detector)

p(Z<(33-30)/0.56)

p(Z<5.35)

where Z = 1

p(1 -  0.9999)

= 0.0001

0.0001 is a very tiny possibility that you will get caught driving slower than the posted speed limit.

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a game in which one person tries to trap another in a mistake, lie, or some other type of negative situation is known as a game

Answers

Answer:

"Wooden leg" is the correct answer.

In the diagram below, AB is parallel to CD. What is the value of x?

Answers

Answer:

Can I see the diagram?

Step-by-step explanation:

tickets to the zoo cost $4 for children, $5 for teenagers and $6 for adults. in the high season, 1200 people come to the zoo every day. on a certian day, the total revenue at the zoo was $5300. for every 3 teenagers, 8 children went to the zoo. how many teenagers went to the zoo? a. 100 teenagers c. 300 teenagers b. 200 teenagers d. 400 teenagers please select the best answer from the choices provided a b c d

Answers

300 teenagers went to the zoo.

How to find the how many teenagers went to the zoo?

given that

Tickets to the zoo cost $4 for children.

Tickets to the zoo cost $5 for teenagers.

Tickets to the zoo cost $6 for adults.

1200 people come to the zoo every day.

on a certian day, the total revenue at the zoo was $5300.

Let the number of adults be x.

The number of teenagers be y.

and the number of children that went to the zoo 8y/3.

Consider the question

1200 people come to the zoo every day.

x + y + 8y/3 = 1200

now, take L.C.M between y and 8y/3

[tex]x + \frac{(3y + 8y)}{3} = 1200 \\ x + \frac{11y}{3} = 1200[/tex]

now multiply with 3 to this equation.

3x + 11y = 3600 .......................(1)

tickets to the zoo cost $4 for children, $5 for teenagers and $6 for adults.

according to the question

6x + 5y + 32y/3 = 5300

Now take the L.C.M between 5y and 32y/3

6x + 47y/3 = 5300

now multiply with 3 to this equation.

18x + 47y = 15900 ...................(2)

now, multiply equation (1) with 6

18x + 66y = 21600 .....................(3)

now, subtract equation (1) in equation (2)

(18x - 18x) + (66y - 47y) = (21600 - 15900)

19y = 5700

y = 5700/19

y = 300

Hence, the 300 teenagers went to the zoo.

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50 POINTS!
Solve for x (and you only have to do odd numbers if you want):
1. 3(x+2)=21
2. 5(2x-1)=-25
3. -4(3x-5)=-16
4. -2(4-x)-5=11
5. 3(-6x+7)+4x=-7
6. 2(3x-4)+5(2x+3)=-9
7. 5(x+9)=65
8. 1/2(x-3)=-4
9. 5x+2(x-6)+7=2
10. 9(x+3)-14x-15=52

Answers

1.x=5

2.x=-2

3.x=3

4.x=12

5.x=2

6.x=-1

7.x=4

8.x=-5

9.x=1

10.x=-8

Pls correct me on any of these if I made a mistake

find a proposition with three variable p, q and r that is true when at most one of the three variables is true, and false otherwise

Answers

Three variable p, q and r that is true when at most one of the three variables is true.

How do you identify a proposition?

Propositions are the name for certain types of phrases. A proposition is said to have a "true" truth value if it is true; a "false" truth value if it is untrue. Propositions include statements like "Grass is green" and "2 + 5 = 5". The first claim is true, whereas the second is wrong in terms of truth value.

Atmost means maximum.

We have three variables: p,q and r. Maximum one of the three variable is true. However we dont know which variable is true.

Case 1: No variable is true :  ¬p ∧¬q∧¬r

Case 2 : p variable is true:  p ∧¬q∧¬r

Case 3: q variable is true : ¬p ∧q∧¬r

Case 4 : r variable is true : ¬p ∧¬q∧r

One of the 4 cases has to be true . Thus Case1 or Case 2 or Case3 or Case 4 is true. So we need to take comjuction of the propsitions in each case.

(¬p ∧¬q∧¬r) v  (p ∧¬q∧¬r) v (¬p ∧q∧¬r) v (¬p ∧¬q∧r)

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The diorama of a town uses the scale 5 inches : 10 miles. If the diorama measures approximately 60 inches across, what is the approximate measure of town?

Answers

Answer: 120 miles

Step-by-step explanation:

      We will set up a proportion to solve.

 Set up a proportion:

[tex]\displaystyle \frac{5\text{ inches}}{10\text{ miles}} =\frac{60\text{ inches}}{x\text{ miles}}[/tex]

 Cross-multiply:

5 * x = 60 * 10

 Multiply:

5x = 600

 Divide both sides by 5:

x = 120 miles

Cookies are sold in the lunchroom for $2. Ana wants to buy cookies for a group of her friends. If she has $20, write an inequality to show the number of cookies cc she can buy. Use the variable c
As a inequality

Answers

Answer:

2c < 20

Step-by-step explanation:

$2 is the price per cookie so 2c is per every cookie, you multiply by 2 to get the price.

Ana only has $20 so the amount of money she spends has to be less then 20 so the inequality would be 2c < 20

. In a triangle, one angle is 5° more than the
measure of the second angle. The third
angle is 10° more than the measure of the
second angle. Find the measure of each
angle angle

Answers

The angles are 60°, 55°, and 65°.

Let the triangle be named ΔABC.Let the angle ∠A be "x".Then, the angle ∠B is equal to ∠A + 5°.The angle ∠B is equal to x + 5°.The angle ∠C is equal to ∠A + 10°.The angle ∠C is equal to x + 10°.The angle ∠C is equal to x + 10°.Using the angle sum property of a triangle, we know that the sum of all the angles in a triangle is equal to 180°.∠A + ∠B + ∠C = 180°(x) + (x + 5°) + (x + 10°) = 180°3x + 15° = 180°3x = 165°x = 55°The angle ∠A is equal to 55°.The angle ∠B is equal to 55° + 5° = 60°.The angle ∠C is equal to 55° + 10° = 65°.

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Explain how you can use a straightedge and a compass to construct an angle that is both congruent.

Answers

The construction of two congruent angles using a scale and compass can be done by applying the prerequisite knowledge of construction.

What is an angle?

A geometrical figure formed by using two rays, which are known as the sides of angle. These sides share a common vertex. Angle can be of various types including acute, obtuse, reflex,  right, etc.

Explanation of constructing an angle using a scale and compass that is both congruent

Start drawing a line with the scale

Then, using this line or edge of the given angle to construct another corner, with the same vertex, let's call it O

Mark an arc across the sides of the corner using compass

Name the points as A and B, where the arc intersects and extend that arc beyond B

Open the compass to length of AB by setting it to the point B, and then mark an arc that intersects the first arc at point C.

Forthwith, wwe have two congruent components, AB = BC.

As the distance is OA = OB = OC, therefore, ∠AOB and ∠BOC are congruent.

Hence, this is the way of constructing congruent angles using a scale and a compass.

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b is less than or equal to 6.
options are attached

Answers

Answer:

b ≤ 6

This inequality matches the statement, "b is less than or equal to 6."

This is because the sign < tell us that b is going to be less 6, and the line _ tells us that the solution can also be equal to 6.

how many solutions does the equation 3x-1=3x+1 have

Answers

Answer:

0

Step-by-step explanation:

[tex]3x-1=3x+1\\=3x-1-3x=3x+1-3x\\-1=1[/tex]

Due to the fact that the sides are unbalanced, the equation has no true solution.


Describe the solid that results if the number of sides of each base increases infinitely. The bases of each solid are regular polygons inscribed in a circle.

a. pyramid

Answers

The solid that results from increasing the number of sides infinitely is; Close to a Cone

How to describe the nature of a solid object?

We want to describe the solid that results if the number of sides of each base increases infinitely. The bases of each solid are regular polygons inscribed in a circle.

Now, given a pyramid, when its base is a regular polygon whose number of sides increases infinitely, the base gets closer and closer to the shape of a circle, and therefore the solid will be close to a cone.

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if a measure is reliable, it: please choose the correct answer from the following choices, and then select the submit answer button. produces a consistent result if the same thing is measured twice. measures what it was intended to measure. predicts actual behavior. co-varies with the independent variable.

Answers

A reliable measure is one that (A) produces a consistent result if the same thing is measured twice.

What do we mean by reliable measure?The consistency with which a method attempts to measure something is referred to as its reliability. The measurement is considered reliable if the same result can be consistently obtained by using the same methods under the same conditions. The stability or consistency of test scores is measured by reliability.It can also be defined as the ability of a test or research findings to be repeated. A medical thermometer, for example, is a dependable tool that consistently measures the correct temperature. When the same thing is measured twice, a reliable measure produces the same result.

Therefore, a reliable measure is one that (A) produces a consistent result if the same thing is measured twice.

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The correct question is given below:
A reliable measure is one that:

A) produces a consistent result if the same thing is measured twice.

B) measures what it was intended to measure.

C) predicts actual behavior.

D) co-varies with the independent variable.

Wavelength is 0.00004 cm is the weather like for a violet light a large or small value and how do you know

Answers

Wavelength is 0.00004 cm is the weather like for a violet light a large or small value and how do you know

The frequency of the violet light is [tex]7.495\times10^{14} s^{-1}[/tex].

Given that,

Wavelength λ=0.00004cm

First, we convert cm to nm

0.00004cm =400nm

These are connected by the equation in electromagnetic radiation (light):

c = λυ

where c refers to the speed of light value is 2.998 x [tex]10^{8}[/tex] m/s, λ refers to wavelength (m) and υ refers to frequency ([tex]s^{-1}[/tex]or Hz).

Now, c = λυ

2.998 x [tex]10^{8}[/tex] m/s=400[tex]\times[/tex][tex]10^{-9}[/tex]m[tex]\times\\[/tex]υ

υ=[tex]\frac{2.998\times10^{8} m/s}{400\times10^{-9}m }[/tex]

υ= [tex]7.495\times10^{14} s^{-1}[/tex]

Therefore, The frequency of the violet light is [tex]7.495\times10^{14} s^{-1}[/tex].

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Let g(x)=-1/2x+ 6 and h (x) =g(x)-3 which statement descibes the graph of h(x)?

Answers

The statement describing the graph of h(x) is "The graph of h(x) is a vertical translation of the graph of g(x) down 3 units".

In the question, are given two graphs g(x) = - (1/2)x + 6, and h(x) = g(x) - 3.

We are asked for the statement that best describes h(x).

Now, h(x) = g(x) - 3, can be seen as  the translation of g(x).

For any graph m(x), n(x) is its translation if n(x) = m(x + p) + q.

The translation is vertical is q ≠ 0, and horizontal when p ≠ 0. Also,

if p > 0, then the horizontal translation is p units right,if p < 0, then the horizonal translation is |p| units left,if q > 0, then the vertical translation is q units up, andif q < 0, then the vertical translation is |q| units down.

For, h(x) = g(x) - 3, when we compare it with n(x) = m(x + p) + q, we have p = 0, and q = -3.

Since, q ≠ 0, we have vertical translation, and since q < 0, the translation is |q| units down.

Thus, The statement describing the graph of h(x) is "The graph of h(x) is a vertical translation of the graph of g(x) down 3 units".

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The provided question is incomplete. The complete question is:

"Let g(x) = - (1/2)x + 6 and h(x) = g(x) - 3. Which statement describes the graph of h (x)?

The graph of h(x) is a vertical translation of the graph of g(x) up 3 units.The graph of h(x) is a horizontal translation of the graph of g(x) right 3 units.The graph of h(x) is a horizontal translation of the graph of g(x) left 3 units.The graph of h(x) is a vertical translation of the graph of g(x) down 3 units."
Other Questions
thomas jefferson to thomas cooper paid to your character among the best of men throughout ened world HELPPP FOR BRIANLEST!!!! things that describes mr prizada Water (blank) a lotof other substances! Itscharged molecules attractother molecules and candissolve them.EX: (blank) Solve for x.-4x+60 < 72OR 14z +11 Compare and contrast synthesis and decomposition reactions.this will be copied and pasted fyi Sample response: no, by rounding the conversion ratio, the ruiz family will not be getting the most accurate answer. using the more accurate conversion ratio will give an answer with more than 2 decimal places so the answer can accurately be rounded after the conversion. what did you include in your response? check all that apply. the rounded conversion will not give an accurate answer based on the limitations of the problem using the more accurate conversion factor will give an answer that can then be rounded to 2 decimal places. PLease Solve I will give 15 points its all i have which surveys illustrate an example of qualitative data? check all that apply.the time, in minutes, it took students to finish their examsthe eye color of students involved in after-school activitiesthe characteristics of different types of birdsthe scores on the last examthe weights of different books Which of the following is a false statement?ABanks are insured by the government.BMoney can be stolen or lost if you keep it at home.CIf your bank goes out of business, you lose your money.DYour money can grow if you keep it in a bank account. you are a medical microbiologist in dallas, tx. a small population of individuals spread throughout the city has been experiencing alarming yet similar symptoms affecting the liver that have physicians puzzled as to the etiology, although they all suspect it is microbial in nature. what steps would you take to elucidate the organism? A moreat a lower costbusiness generally achieves greater profits What is the difference between Law and Justice? Expand and explain your reasoningand thinking. Defend your position. 200-300 Words Minimum. is b a scale copy of a yes or no explain your reasoning As you go up the y-axis, what happens to the number of sprouted bean seeds?A. Sprouted bean seeds decrease.B. Sprouted bean seeds increase.C. Sprouted bean seeds remain constant.D. None of the above Josh is overweight. his physician has decided to test him to see if there is a problem with the regulation of his __________. which endocrine gland will be the focus of diagnostic testing? what if an investor wants to buy 1,000 shares of apple at the market price, but the nbbo ask price of $100.02 is for only 200 shares? the first 200 shares will be sold at $100.02 after which a new nbbo price will be calculated. all shares will be sold at $100.02. the nbbo price will be recalculated and all shares will be sold for the same price. the nbbo price will be ignored and the ask price will be accepted. the nbbo price will be ignored and the highest bid accepted. A 40-kilogram student on an inner tube is pulled by a boat. The force from the boat results in the student accelerating a 2 m/sec2 . Calculate the net force needed to cause this acceleration. a.) What is its instantaneous velocity at t=10.0s?b.) What is its instantaneous velocity at t=30.0s?c.) What is its average velocity between t=0 and t=5.0s?d.) What is its average velocity between t=25.0s and t=30.0s?e.) What is its average velocity between t=40.0s and t=50.0s? which two of the rights americans enjoy today are similar to the rights of englishmen established in the english bill of rights?