A whale dives at a speed of 3 feet per second. What is the change in position of the whale relative to where it started after 12 seconds?

Answers

Answer 1

Assuming the whale dived at a constant rate, the whale would be 36 feet below its starting point.

Answer 2

The whale will dive 36 feet assuming that the change is constant

Related Questions

Which expressions are perfect square trinomials? Check all that apply.
x2 + 16x + 8
x2 + 14x + 49
x2 – 5x + 25
x2 – 24x + 144
x2 + 9x – 81

Answers

That would be x2 + 14x + 49 & x2 - 24x + 144

Good Luck! ;D

The expressions that give perfect square trinomials are:

[tex]x^2+14x + 49[/tex] and [tex]x^2-24x+144[/tex]

A quadratic trinomial of the form [tex]ax^2+bx+c[/tex] is a perfect trinomial if it can be expressed as [tex](mx + n)^2[/tex]

Let us consider [tex]x^2+14x + 49[/tex]

[tex]x^2+14x+49\\x^2+7x+7x+49\\x(x+7)+7(x+7)\\(x+7)(x+7)\\(x+7)^2[/tex]

Let us consider:

[tex]x^2-24x+144\\x^2-12x-12x+144\\x(x-12)-12(x-12)\\(x-12)(x-12)\\(x-12)^2[/tex]

All other options do not give a perfect square when tested

Therefore, the expressions that give perfect square trinomials are:

[tex]x^2+14x + 49[/tex] and [tex]x^2-24x+144[/tex]

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There was 2/3 of a pizza for 6 friends to share equally. What fraction of the pizza did each person get

Answers

First of all, if you only have 2/3 of a pizza to share with 6 friends, pick up the phone and get another pizza.

However, if you can't do that (maybe all your phones have been abducted by aliens), then use easy division of fractions to solve.

2/3 divided by 6 is equal to 2/3 times 1/6.

When you divide a fraction, you have to flip the thing your dividing by and multiply it to the original number. I know, confusing stuff, right?

2/3*1/6
=2/18
=1/9

Each person gets 1/9 of the pizza.

Hope this helps (and that the aliens give you your phones back)!

Each person get 1/9 of a pizza.

What is Fraction?

A fraction is defined as a part of a whole.

Given that;

There was 2/3 of a pizza for 6 friends to share equally.

Now,

Total amount of pizza = 2/3

Number of friends = 6

So, For finding the amount of pizza get by each person we formulate.

= 2/3 × 1/6

= 2/18

= 1/9

Thus, Each person get 1/9 of a pizza.

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The perimeter of a rectangle is 524cm. The length is is 42cm more than the width. What is the length of the rectangle?

Answers

Perimeter= 524cm
Width= 215cm
Length= 173cm

Represent L as L = W + 42.

Then P = 2W + 2L

Here, P = 524 cm = 2W + 2(W+42) = 2W + 2W + 84 = 4W + 84

Solving 524 = 4w + 84, 4W = 524-84 = 440.

Dividing both sides by 4: W = 110 cm. Then L = 110+42 = 152.

Check: Does 2(110) + 2(152) = 524? YES

W = 110 cm and L = 152 cm

Which graph represents the function f(x) = −|x − 2| − 1?

Answers

I think it might be the 3 one and if that's not right then it would be the first one.

The correct answer is C.

Thanks and have a good day :)

A box of 8 snack bars costs $24.72. A single snack bar costs $3.47. What is the savings on each snack bar if you buy a box of 8 snack bar?

Answers

You would save $3.04

you will save exactly 3.04 cents.
3.47 x 8 = 27.76
27.76 - 24.72 = 3.04
answer= 3.04
have a GREAT day! good luck with school!

What is the expanded form of 53.327 using fractions

Answers

50+3+3 x 1/10+ 2 x 1/100 +7 x 1/1000

A hiker leaves camp and hikes 9 miles north and than hikes 7 miles east. What is the resulting displacement of the hiker?

Answers

(7, 9). the reason for this, is because on an x y coordinate plane, x first, then y second. east is positive, north is positive, therefore it is (7, 9)

There are 7.2 milligrams of iron in a dozen eggs.Because there are 12eggs in a dozen,how many milligrams of iron are in 1egg?

Answers

You just have to divide 7.2 by 12 which gives you .6 milligrams of iron per egg.

Which statement is true about the result of a rigid transformation? (4 points)

The image will be larger than the pre-image.

The pre-image will be larger than the image.

Each one is unique; no general statement can be made about size.

The pre-image will be congruent to the image

Answers

In a rigid transformation, the pre-image and the image are congruent

Answer:

The pre-image will be congruent to the image : True

Step-by-step explanation:

The transformation falls broadly into two types.

Rigid Transformation and Non Rigid Transformation .

Rigid Transformation: The new image has the same size and the shape as that of pre image. Thus both the images are congruent to each other.

Non Rigid Transformation : The new image is has the same shape. however the size of the new image changes. hence they are similar to each other but not congruent.

Hence our third option is correct.

A rectangular park, with dimensions of 1500ft x 2000ft has a diagonal walking path that goes from corner to corner. How long is the walking path?

250 ft

2500 ft

3500 ft

5000 ft

Answers

2500 ft is your answer your welcome

On the field trip, Toni collected 4 times as many bugs as Kaylie. Kaylie collected 14 bugs. How many bugs did Toni collect? Draw a bar diagram. Write and solve an equation to represent the problem

Answers

14 x 4= 56
If Toni collected 4 TIMES as many as Kaylie and Kaylie collected 14 bugs, you MULTIPLY. A bar diagram goes horizontally across your diagram. So Draw a bar diagram. If you don't know what a bar diagram is, Google it! That's all I can help ya with.

I am multiple of 70. I am between 300 and 500. I am 20 more than a multiple of 100. who am i?

Answers

It's 420

This is because 70x4=420. It's within 300 and 500, and its 20 greater than 400 a multiple of 100.

The answer is 420. It is a multiple of 70, it is between 300 and 500, and it is 20 more then 400 which is a multiple of 100.

Nicole has $9 to spend on cards.She finds friends with the same amount of money to split the cost of a set. One set cost $27. Each friend gets the same number of cards. How many cards does each friend get?

Answers

Let x be the number of cards in the $27 set, then Nicole has 2 friends that have $9 each. This makes 3 people, therefore each person gets x/3 cards. So each friend would get 1/3 of the cards.

Answer: Number of cards each friend gets is given by

[tex]\frac{x}{3}[/tex]

Step-by-step explanation:

Let the number of cards be x.

Since we have given that

Amount Nicole used to spend on cards = $9

Total cost of one set =$27

Since she finds friends with the same amount of money to split the cost of a set.

So, Number of friends she finds is given by

[tex]\frac{27}{9}=3\\\\\text{ Nicole finds 2 friends who has same amount to split the cost}[/tex]

Now, Number of cards each friend gets is given by

[tex]\frac{x}{3}[/tex]

What is 75 1/2 Times 100 3/4

Answers

The answer is 7606 and 5/8
Hope it helped!

Most cars get their best gas mileage when traveling at a relatively slow speed. The gas mileage M for a certain new car is modeled by the function

M(s)= -1/28s^2+3s-31

where s is the speed in mi/h and M is measured in mi/gal.

Answers

In this item, it is assumed that we are to determine the speed at which the car will have the best gas mileage. This can be done by deriving the equation and equating it to zero.

M(s) = -1/28s² + 3s - 31

Deriving,
dM(s) = (-1/28)(2s) + 3 = 0

s = 42

Hence, the speed at which the best mileage is achieved is mi/h.

Final answer:

The quadratic function represents the gas mileage of a car in relation to its speed. By calculating the vertex of the parabola, it is determined that the best gas mileage for the given new car model occurs at a speed of 42 mi/h, which can lead to more efficient driving.

Explanation:

Understanding Gas Mileage and Speed

The question revolves around the mathematics found in the relation between speed and gas mileage for cars. Specifically, a quadratic function M(s) = -1/28s²+3s-31 represents the gas mileage M, in miles per gallon (mi/gal), at a given speed s in miles per hour (mi/h) for a new car model. To analyze this model, one may want to find the speed that provides the best gas mileage, which typically requires finding the vertex of the parabolic graph that this equation represents.

To find the speed that gives the maximum gas mileage, we would complete the square or use the vertex formula for a parabola given by s = -b/(2a), where a and b are the coefficients of the quadratic term and the linear term, respectively. For our function, a = -1/28 and b = 3. Plugging these into our formula gives a speed of s = -3 / (2 * -1/28) = 42 mi/h. This suggests that the best gas mileage for this car model occurs at a speed of 42 miles per hour.

It is essential to understand the relationship between speed and gas efficiency because it can help reduce fuel consumption and costs, as well as lessen environmental impact. By finding the optimal speed for gas mileage, drivers can make informed decisions about their driving habits for financial and ecological benefits.

PLEASE HURRY

Which set of angles can form a triangle?
A. 1 acute and 2 right
B. 2 acute and 1 right
C. 1 acute and 2 obtuse
D. 1 acute, 1 right, and 1 obtuse

Answers

B can make a triangle

A box of nutmeg weighs 99.66 grams. If there are 22 teaspoons of nutmeg in the box, how much does one teaspoon of nutmeg weigh? (Round your answer to the nearest thousandth.)

Answers

4.53 grams is the answer I got but I'm not sure?

a contractor purchases motors listed at $6800 and receives successive discounts of 20% and 10%. what is the net cost

Answers

i think that $2,040. because you multiply 6800*0.30=2,040.

Line R T and line S U slightly inclined with horizontal intersects at V. The upward and downward angles of the intersecting lines are obtuse. The left and right angles of the intersecting lines are acute. The measure of angle R V U is labeled as left parenthesis 8 y minus 33 right parenthesis degrees. The measure of angle S V T is labeled as left parenthesis 5 y plus 9 right parenthesis degrees.

Answers

Given the description, it sounds like angle RVU and angle SVT are vertical angles. With this known, the angles are equivalent and the two equations can be set equal to each other.

5y+9=8y-33 vertical angles are congruent
-5y -5y
9 = 3y -33 Use inverse operations to move all variables to one side of the equation
+33 +33 Add 33 to both sides of the equation to isolate the variable
42=3y
/3 /3 Divide both sides by 3 in order to isolate the variable
14 = y Once simplified, the variable y is equal to 14

In order to find the measure of the angle, the value of the variable needs to be substituted back into one of the equations.
5y+9
5(14) +9
70 + 9
79
The measure of angle RVU and angle SVT is 79 degrees

Answer:

14=y

or y=14

Step-by-step explanation:

given h(x) = -x + 1, find h(0)

Answers

h(0) simply refers to the value of the function h(x) when x = 0. All we have to do to find that value is substitute the x's in the expression for 0's. Here, we have:

h(x) = -x + 1
h(0) = -(0) + 1 = 1

So, h(0) in this case would be 1.

h(0)=0+1
answer is 1

The end of a hose was resting on the ground, pointing up an angle. Sal measured the path of the water coming out of the hose and found that it could be modeled using the equation f(x) = –0.3x2 + 2x, where f(x) is the height of the path of the water above the ground, in feet, and x is the horizontal distance of the path of the water from the end of the hose, in feet. When the water was 4 feet from the end of the hose, what was its height above the ground?

Answers

PLEASE Give answer choices

Answer:

its a and c

Step-by-step explanation:

Which shows three equivalent rational numbers?

A. 13/-14= -13/14=-13/14

B. -3/5 = 3/5=-3/5

C. -1/17=1/-17=1/17

D. -5/37 = 5/37=-5/37

Don’t answer if you aren’t sure.

Answers

The correct answer is A.
When any part of the fraction is negative, the whole thing is negative.
This is because a positive divided by a negative is a negative and vise versa.

the answer is: A

i hope this helps and have a wonderful day!!

I need an answer what is 1.03 ÷ (-10.3)=?

Answers

The answer is [tex]- \frac{1}{10} [/tex]
To figure this out, convert both numbers to fractions. 1.03 = 1[tex]\frac{3}{100} [/tex] and (-10.3) = -10[tex] \frac{3}{10} [/tex]. Now, convert to improper fractions.
1[tex] \frac{3}{100} = [tex] \frac{103}{100} [/tex]
-10[tex] \frac{3}{10} [/tex] = [tex]- \frac{103}{10} [/tex]
Now, divide. Dividing fractions is the same as multiplying by the reciporical. So:
[tex] -\frac{103}{10} \ becomes\ \frac{10}{103} [/tex]
[tex] \frac{103}{100} *- \frac{10}{103} = -\frac{1030}{10300} = - \frac{1}{10} [/tex]

Final answer:

The answer to 1.03 ÷ (-10.3) is -0.1.

Explanation:

To divide 1.03 by -10.3, you can use the division algorithm. Divide the absolute values of the two numbers and obtain the quotient. Since the signs of the two numbers are different, the quotient will be negative. Therefore, 1.03 ÷ -10.3 = -0.1.

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Algebraic Expressions Question

A company charges $59.99 for cable TV installation and $49.99 per month for basic cable service.

Part A
Write an algebraic expression to represent the total cost of m months of basic cable service, including installation.

Algebraic Expression: ________________

Part B
How much will it cost for installation and one year of basic cable service?

Explain:

Total Cost: ______________

This problem is continued on the next page.

Part C
After the first 12 months, the charge will be increased to $69.95 per month. What is the total cost of installation and basic cable service for the first two years?

Explain:

Answers

Part A.

We can create a linear equation from this problem. Let us say that C is total cost and m is number of months, therefore:

C = 59.99 + 49.99 m

Part B. For m = 12 months, the total cost is:

C = 59.99 + 49.99 * 12

C = $659.87

Part C. We have already calculated in part B the total cost for the 1st year:

C1 = $659.87

For the 2nd year, the equation becomes:

C = 59.99 + 69.95 m

C = 59.99 + 69.95 * 12

C2 = $899.39

Therefore the total cost C1 + C2 is:

$1,559.26

Final answer:

The total cost of m months of basic cable service, including installation, can be represented by the algebraic expression 59.99 + 49.99m. For installation and one year of basic cable service, the cost is 659.87. For the first two years, including installation and basic cable service, the cost is 1549.23.

Explanation:

Part A:

To represent the total cost of m months of basic cable service, including installation, we can use the algebraic expression:

59.99 + 49.99m

Part B:

To calculate the total cost for installation and one year of basic cable service, we substitute 12 for m in the expression:

59.99 + 49.99(12) = 59.99 + 599.88 = 659.87

Part C:

For the first two years, the cost includes the installation and basic cable service for the first 12 months at $49.99 per month, and the following 12 months at $69.95 per month. So we write the expression as:

59.99 + 49.99(12) + 69.95(12) = 709.83 + 839.4 = 1549.23

Justify each step in solving the equation 6x = 3(x+4) by writing a reason for each statement.

Answers

1) 6x = 3x + 3.4
6x = 3x +12 minus 3x
6x- 3x = 3x +12 - 3x
3x = 12 division with 3
3x/3 = 12/3
x=4

choose the graph below that correctly represents the equation 2x + 4y = 24.

A.

B.

C.

D.

Answers

My answer is A (the first graph picture). Here is my explanation.

1. 2x = 24 - 4y (Move the variable to the right side and change the sign)
2. X = 12 - 2y (Divide both sides of the equation by 2)
3. Y = 6 and X = 12 (I used my graphing calculator and A is what I got)

Hope this helps, if not, then I apologize! :)

Answer:

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Step-by-step explanation:

Which unit rates would be appropriate for describing the amount of rainfall over time? Choose two answers.

centimeters per day

meters per second

milliliters per minute

inches per hour

Answers

inches per hour and centimeters per day I believe

Help me I don’t get this problem...

Answers

All that you have to do is plug in the given values for each of the variables. So, we know that:
A = 3
B = 8
C = 2
D = 5
So, plug in the values.
[tex]a ^{2} + 3b [/tex]÷[tex]C - 2d[/tex]
3^2 = 9
3*8 = 24
2 * 5 = 10
24/2 = 12
9 + 12 - 10 = 21 - 10 = 11.
So, the value of the expression is 11.

Create an original rational function that has at least one asymptote (vertical, horizontal, and/or slant) and possibly a removable discontinuity. List these features of your function: asymptote(s) (vertical, horizontal, slant), removable discontinuity(ies), x-intercept(s), y-intercept, and end behavior.

Answers

Since f has a vertical is at x = 2, then the denominator of the rational function contains the term (x - 2). Function f has the form. f(x) = g(x) / (x - 2) g(x) which is in the numerator must be of the same degree as the denominator since f has a horizontal asymptote. Also g(x) must contain the term (x + 5) since f has a zero at x = - 5. Hence f(x) = 3 (x + 5) / (x - 2)

Lucie drank 3/4 of a pint of bottled water. One serving of the water is 7/8 of a pint. How much of a serving did she drink.

Answers

7/8
3/4
I'm order for them to have the same denominator you need to multiply so:
¾×2=6/8
So she drank 6/8 pints of water

First, let's make it so that they share a common denominator.

3/4 x 2/2 = 6/8

So Lucie drank 6/8 of a pint, or 75% of it. 7/8 - 6/8 = 1/8. So there is 1/8 of water left, or 12.5%.

Other Questions

Which conditions were true of women in the early Roman republic? Select all that apply.A. They received a public educationB. They were expected to obey male heads of the household.C. They raised their children.D. They served in governmentE. They worked at home.F. They voted as citizens. Whats the correct answer Point M is the midpoint of AB . AM= 3x+3, and AB=8x6What is the length of AM?The answer is 21 but i don't know the steps to get it. HELP The first and most important step in the posting procedure isA. posting the amount.B. posting the date.C. posting the explanation.D. recording the posting reference information.info for # 9The following activity for J. C. Breneman Management Services took place on June 1, 20. Record these transactions on the journal form provided on the next page.Received $3,290 in cash from the owner as an investment (receipt no. 1). Borrowed $900 cash from Inland Bank for business expenses (memo 1). Paid cash for supplies, $290 (check no. 1).Paid cash for insurance, $1,000 (check no. 2).Paid cash for equipment, $2,100 (memo 2).#9. The amounts that increase the Cash account are entered inA. the Debit column.B. the Credit column.C. both Debit and Credit columns. D. either Debits or Credit columns.Use the following information to answer questions 1120.Using the form below, prepare a chart of accounts for J. C. Breneman Management Services. Then post the journal entries from the general journal on page 7 to the ledger accounts provided on the following pages.Division 1 Division 2 Division 31. ASSETSJ. C. BRENEMAN MANAGEMENT SERVICES CHART OF ACCOUNTSAsset AccountsLiability Accounts Owner's Equity Accounts2. LIABILITIES11-19 21-29 31-393. OWNER'S EQUITYACCOUNT Cash ACCOUNT NO. 11DATEITEMP.R.DEBITDATEITEMP.R.CREDIT11. What is the first account number used in the Breneman Management Service Chart of Accounts?A. 1 C. 11 B. 21 D. 1013. What is the account title used for owners equity?A. J.C.Breneman,CapitalB. J.C.Breneman,OwnerC. Breneman Management Service, Capital D. CapitalC. 2 D. 0214. The account number 13 tells you that the accountA. is the 13th account in the ledger.B. is the first account in the third division.C. is the third account in the first division.D. was posted on the 13th day of the month.18. The first step in posting either a debit or a credit entry from the journal to the ledger is to transfer theA. amount. C. account number. B. explanation. D. date.19. After posting the entries from the journal, the Breneman Management Service Ledger should have at least one debit entry in how many accounts?A. 4 C. 6 B. 5 D. 920. After posting the entries from the journal, the Breneman Management Service Ledger should have at least one credit entry in how many accounts?A. 2 C. 4 B. 3 D. 5 If you are playing with a child and you drop a toy out of their sight, but they do not attempt to look for it, then they have not likely developed a sense of ______________. Joe tapped his maple tree to get syrup. The tree filled 3/4 of a cup in 1/2 hour.At what rate does syrup flow from the tree? Which individuals should be addressed with usted?a brother or sistera teachera frienda police officera young childan adult stranger Sam and chad are ticket-sellers at their class play. sam is selling student tickets for $2.00 each, and chad selling adult tickets for $5.50 each. if their total income for 24 tickets was $83.00, how many tickets did sam sell? What is the answer to. Write a polynomial equation with integer coefficients that has the given roots, x=7 and x=-5 mercantilism was the principal that Anna never feels there is enough time to study, even though she has straight as. she finds it hard to relax because she always feels she could be studying. what personality type is anna What is the mass of silver metal produced from 6.35 g of copper when copper reacts with excess silver nitrate in a single replacement reaction? ____ g? 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