50 points.........

A dolphin jumps from the water with an initial velocity of 44 feet per second at an elevation angle of 60°. Which parametric equations model the dolphin’s path through the air?

x(t) = sin(60°)t + 44 and y(t) = –16t2 + cos(60°)t + 44
x(t) = cos(60°)t + 44 and y(t) = –16t2 + sin(60°)t + 44
x(t) = 44sin(60°)t and y(t) = –16t2 + 44cos(60°)t
x(t) = 44cos(60°)t and y(t) = –16t2 + 44sin(60°)t

Answers

Answer 1

Answer:

B

Step-by-step explanation:

Answer 2
D.   x(t) = 44cos(60°)t and y(t) = –16t2 + 44sin(60°)t

For your question: A dolphin jumps from the water with an initial velocity of 44 feet per second at an elevation angle of 60°. Which parametric equations model the dolphin’s path through the air?

After doing the math in my notebook, I got the answer D.

Please let me know if you have any other questions down below.


Related Questions


Find the angle of rotation about the center of the square that maps A to C.

Answers

The angle of rotation to map A into C is 180°.

How to find the angle of rotation?

The rotation is around the center of the square. Let's assume that the center coincides with the origin of a coordinate axis.

Then we would have A on the second quadrant and C on the fourth quadrant.

Then we need to apply a rotation of two quadrants, remember that each quadrant has an angle of 90°, then a rotation of two quadrants has an angle of 2*90° = 180°.

The correct option is 180°.

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PLEASEEE HELP ME PLEASEE!!

Answers

the 3rd one i’m pretty sure

which matrix represents the system of equations shown below ? 4x-2y=5 5x- y=8

Answers

4 -2   5

5 -1    8

this is what it showed in brackets as the correct answer.

The matrix that represents the system of equations 4x-2y=5 and 5x- y=8  is [tex]\left[\begin{array}{cc}4&-2\\5&1\end{array}\right] \left[\begin{array}{c}5&8\end{array}\right][/tex]

How to determine the matrix?

The system of equations is given as:

4x-2y=5

5x- y=8

Remove the variables

x     y  

4    -2    5

5    -1    8

Represent as a matrix

[tex]\left[\begin{array}{cc}4&-2\\5&1\end{array}\right] \left[\begin{array}{c}5&8\end{array}\right][/tex]

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Can I have some help? What is LCM for 5 and 14

Answers

Answer:

70

Step-by-step explanation:

Least common multiple (LCM) of 5 and 14 is 70.

The answer for LCM
=70

if the temperature drops from 7f to -17f how much did the temperature decrease​

Answers

Answer:

there was a decrease of 24 degrees.

Step-by-step explanation:

7-24=-17

Answer:

there was a decrease of 24 degrees.

Step-by-step explanation:

7-24=-17

The expression 2x + 3.4 is equal to ? for x =1.6.

Answers

Answer:

6.6

Step-by-step explanation:

help plzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

like what type of help that i could help u

Answer:

I think it might be 6.75x - 19.25 = 80

Step-by-step explanation:

6.75x−19.25=80

Step 1: Add 19.25 to both sides.

6.75x−19.25+19.25=80+19.25

6.75x=99.25

Step 2: Divide both sides by 6.75.

6.75x/6.75 = 99.25/6.75

x=14.703704

The sum of the tens digit and the hundreds digit of a number is three times the units digit. 1/5 of the sum of all three digits is 1 less than the units digit. Find all three-digit numbers that satisfy these conditions.

Answers

Answer: The numbers are:

965

875

785

695

Step-by-step explanation:

We have a 3 digit number that can be written as:

a*100 + b*10 + c

Where a, b, and c are single-digit numbers.

a is the hundreds

b is the tens

c is the unit.

We know that:

"The sum of the tens digit and the hundreds digit of a number is three times the units digit."

a + b = 3*c

" 1/5 of the sum of all three digits is 1 less than the units digit."

(a + b + c)/5 = c - 1

Then we have the two conditions:

a + b = 3*c

(a + b + c)/5 = c - 1

From the first one, we can write:

(a + b)/3 = c

Replacing that in the other equation we get:

(a + b + a/3 + b/3)/5 = a/3 + b/3 - 1

(4/3)*(a + b)/5 = (a/3 + b/3) - 1

(4/15)*(a + b) = (a + b)/3 - 1

(4/15)*(a + b) - (a + b)/3 = - 1

-(1/15)*(a + b) = -1

a  = 15 - b

Then we can give different values for b, and find the values of a and c, where a and c must be positive.

b = 9

a = 15 - 9 = 6

Then:

c = (9 + 6)/3 = 5

(notice that a + b = 15, then c will be always equal to 5, reggardless of the values of b and a).

This number will be:

695.

if b = 8, then:

a = 15 - 8 = 7

and c = 5, same as before.

the number is 785.

If b = 7, then:

a = 15 - 7 = 8

The number is 875

if b = 6, then:

a = 15 - 6 = 9

The number is:

965

6 − 3.98 what is the answerrrrr

Answers

Answer:

2.02

Step-by-step explanation:

also you can do these on just a calculator :D

What are the x and y intercept.

Answers

Answer:

x-intercept is 6 y-intercept is -3

Step-by-step explanation:

It's really simple to graph it especially if you have something that does it for you however when you graph it-it's pretty clear which ones it is so I suggest graphing it.


Jeremy is making a healthy ice cream using only ripe bananas and peanut butter, the recipe makes 4 servings and calls for a ratio of 5
bananas to 3 tablespoons of peanut butter if Jeremy has 30 bananas, how many tablespoons of peanut butter does he need
Tablespoons

Answers

Answer:

can u show me a pic of the question so it is easier

The healthy ice cream Jeremy is making has 30 bananas and requires 18 tablespoons of peanut butter.

What is a ratio?

The ratio describes the amount of quantity in simplest form, a:b can be written as 'a/b' for convenience.

Given the healthy ice cream, Jeremy is making requires 5 bananas and 3 tablespoons of peanut butter.

From the given question itself, we can conclude that bananas and peanut butter are in direct proportion as the increase in one quantity will result in an increase of another quantity and we can write this in proportion and let the no. of tablespoons of peanut butter requires for 30 banans is x.

∴ 5 : 3 : : 30 : x.

Or

5/3 = 30/x.

5x = 90.

x = 18.

So, Jeremy needs 18 tablespoons of peanut butter for the 30 bananas he has.

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Challenge You have 2 different savings accounts. For Account A, the simple interest earned after 21 months is $8.66. For Account B, the simple interest eamed after 33 months is $34.65. If the interest rate is 3.3% for Account A and 2.1% for Account B, how much is the principal in each account? Which account earned you the most interest the first month? Explain your answer. Account A has a principal of $. (Round to the nearest dollar as needed.)​

Answers

Step-by-step explanation:

you have to defend saving account for account a decent wages and after 24 months in 26 is how can be the same creatures and after 30 months 34.6 $5 if the interest rate is 3.0% for accounting and private beach FL County how much is the first create account which account NG the most interesting person explain how the agency has baseball first round to the nearest Dollar is in the car so this guy if you know you know the one you want me to answer you come and tell me stop doing on since that was your own I mean if you have the correct answer you I hate you have to correct question because I can't see the question to answer because I just sold if interested to 2502 I can't see the real question here thank you

Show me the steps to solving this equation. 3x + 2 = 14

Answers

Answer:

4

Step-by-step explanation:

multiply 3 by 4 to get 12 and add 12 to 2 and you get 14

-3/10h = 15, what is h?

Answers

Multiply both sides by 10h
-3/10h * 10h = 15 * 10h
-3 = 150h
h = -1/50

Answer:

-50

Step-by-step explanation:

help asap plspls!! :)

Answers

Answer:

1/6

Step-by-step explanation:

1/3 ÷ 2 = 1/6

All you do is multiply the denominator by 2. This sounds incorrect, but my making the denominator lager it actually is shrinking the fraction and ultimately making it smaller than before.

Answer:

1/3÷2=1/6

Result in decimals: 0.16666666666667

What is the slope and the y-intercept of the line on the graph below?

b=

m=

Write an equation for this line in slope-
intercept form (y=mx+b).





Answers

Answer:

b=1

m=1/4

y=1/4x+1

Step-by-step explanation:

m is the slope, b is the y-intercept

The sum of two numbers is 22 their difference is 4

Answers

Answer:

x=13

Step-by-step explanation:

ok so let x+y=22

--------------------------------------------------------

x and y are the 2 unkown Number

-------------------------------------------

x-y=4

their difference is 4

----------------------------------

add both equations

(x+y=22)

+(x-y=4)

------------------------------

y's cancel out

-----------------------

2x=26

-----------------

x=13

Sum: 13+9=22
Difference: 13-9=4

x-y=4
x=4+y

x+y=22
4+y+y=22
4+2y=22
2y=18
y=9

x+y=22
x+9=22
x=13

ok yall i need help and yall kinda no treading the question fully READ ITTTTT, i will give brainleist

Answers

Answer:have a wonderful Christmas!

Step-by-step explanation:70+95

70=2*5*7

95=5*19

70+95=(5*2*7)+(5*19)=(5*14)+(5*19)=5*(14+19)=5*(33)

5*33=165 and 70+95=165 also

Answer:

The answer is 165, hope this helps.

Step-by-step explanation:

Find the prime factors of each term in order to find the greatest common factor (GCF).

Jack borrowed $1.50 from his friend Jenna every day for five days last week. What rational number represents how much Jack owed his friend last week?

Answers

Answer:

$7.50

Step-by-step explanation:

set up an equation: $ x days = total owed

1.50 x 5 = 7.50

A bakery is making apple pies and carrot cakes. Each
apple pie nets $5 profit. For each carrot cake, they
make $10 profit. Each pie take 4 hours to prepare and
1.5 hours to bake. The carrot cakes take 0.5 hours to
prepare and 0.5 hours to bake. The maximum
preparation time is 20 hours. The maximum baking
time is 10 hours. How many pies and cakes should be
made to maximize profits?

Answers

Answer:

8 thats how many pies and cakes you can do

Step-by-step explanation:

you have 20 minutes and 10 and the most cakes you can get with left over is 8

The pies and cakes should be made to maximize profits is 8 pies.

What is profit?

Profit is defined as the sum of revenue and income after all costs have been deducted by a business. A function with a business-oriented focus is called a profit function. The main goal of a business is to generate income through the sale of goods and services, minus the costs associated with producing those goods and services, in order to turn a profit.

Revenue minus costs equals profit.

Costs comprise both variable costs and fixed costs, whereas revenue is the total amount of positive cash flow that a business generates.

The maximum number of cakes you can get with leftovers in 20 minutes and 10 is 8.

Thus, the pies and cakes should be made to maximize profits is 8 pies.

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Fint the are and perimeter of the shape at the bottom

Answers

Answer:

Area: 59.5 ft squared

Perimeter: 31.6 feet

Step-by-step explanation:

Area:

For the area of the square, you're going to use the formula length times width. The length and width are both 7, so you'll do 7 times 7, which is 49. Next, you need to find the area of the triangle. It's a bit more confusing since they give you the hypotenuse (7.6 ft), but they did that to try and trick you. The area of a triangle is length times width divided by two. So, you're going to take the width (3) and multiply it by the length (7). The length is 7 because the length of the square and the triangle are the same since the bottom of the triangle is the same length as the top of the square. Anyway, using the formula, you will do 7 times 3 divided by 2, which is 21 divided by 2, which is 10.5. Add the 10.5 to the 49 we got from the square, and you'll get 59.5 feet squared.

Perimeter:

For the perimeter, you just need to add the side lengths. Starting at the top and going to the right, we can add 7.6+7+7. We don't get the left length, but it's the same as the rest of the square (7) because all sides of a square are equal. So, now we have 7.6+7+7+7, which is 28.6, and we just need the last one which is 3, so the final answer is 31.6 feet.

Answer:

Area: 59.5 ft squared

Perimeter: 31.6 feet

Step-by-step explanation:

Which expression shows the prime factorization of 30?
2 x 3 x 5

3 x 5 x 7

3 x 5 x 5

2 x 2 x 3

Answers

A: 2 x 3 x 5
Hope I helped :)

Answer:

A

Step-by-step explanation:

because 2x3 equals 6

then 6x5 equals 30

( i did the math for the other ones and its a;)

Could I get some help it’s important

Answers

Answer: yo plug it into desmos its ez

Step-by-step explanation:

Answer:

plot a point at (0,-7) and plot a point at (1, -4). Draw a line through those points.

Step-by-step explanation:

The equation tells you that your y intercept will be negative 7. The 3x means that your slope will be equal to up 3, and over 1 (or 3/1, which is equal to 3.)

Solve the inequality​

Answers

Answer:

x<2

Step-by-step explanation:

5x+10>14x-8

18>9x

2>x

x < 2 hope that helps

Find the ratio of 2p per gram to £2.12 per kilogram

Answers

Answer:

the answer is 1.06

Step-by-step explanation:

i need help idk how to solve this plz help. y - 2= 7/3 (x-(-2))

Answers

Im sure it's -3    Because well thats what  i got

I need help with this question pleaseeee

Answers

Answer: 639

Step-by-step explanation:

i might be wrong but that's how i was taught! :)

1. How many real solutions does the quadratic equation x?+9x= -8 have?​

Answers

Answer:

This quadratic equation has 2 solutions.

Step-by-step explanation:

I assume the '?' in your question is meant to be power 2 (²), or else it would not be a quadratic equation. You could write it using the superscript version of 2.

We can solve this equation by expressing it in the form: ax² + bx + c

x² + 9x= -8

x² + 9x + 8 = 0

Now if you know the discriminant, you can simply plug in your values of a, b, and c to see how many solutions there are.

In this case, you would not need the discriminant as there are whole-number factors and hence this can simply be factorised.

x² + 9x + 8 = 0

(x + 8)(x + 1) = 0

For this equation to be true (= 0), x can equal -8 OR -1.

Hence, this quadratic equation has 2 solutions.

A one story house is 2,200 square feet. 40% of the house has a basement. How many square feet is the basement?

Answers

Answer:

880 ft²

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

2,200 ft²

40% (0.4) of the house is basement

Step 2: Evaluate

Set up:                    2200(0.4)Multiply:                  880

Here we see that 880 ft² out of the 2200 ft² would represent the allocated space for the basement.

Answer:

880 square feet

Step-by-step explanation:

Full story = 2200 square feet

Basement = 40% of the story

Basement is:

2200*0.4 = 880 square feet

Tamara has $42.00 to buy party decorations. She wants to buy 3 packs of party hats, 2 bags of balloons, and a banner

Answers

Answer:

Step-by-step explanation:

Add everything together then you get 22.02 and she could buy everything but you gotta figure out the other part b bc I’m stuck on it

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