A stone fell from the top of a cliff into the ocean. In the air, it had an average speed of 16 m/s. In the water, it had an average speed of 3 m/s before hitting the seabed. The total distance from the top of the cliff to the seabed is 127 meters, and the stone's entire fall took 12 seconds. How long did the stone fall in the air and how long did it fall in the water?

Answers

Answer 1

Answer:

7 sec in the air, 5 in the water.

Step-by-step explanation:

make it into a linear equation

16x + 3y = 127

x+y=12

(7,5)


Related Questions

Find the area and perimeter of the composite shape..

Answers

Area: 68

Perimeter: 50

The tires of a go-kart are 1 m1 \text{ m}1 m1, start text, space, m, end text in circumference. The tires revolve 15151515 times per second. What is the distance the go-kart travels in 40404040 seconds?

Answers

Answer:

600m

Step-by-step explanation:

Distance traveled = speed*time taken

The total distance traveled around the tires is the circumference.

If the tire of a go-kart with circumference of 1m revolves 15 times per second, the speed of the go-kart will be 1*15 = 15m/s

Given the time taken by the go-kart to travel round to be 40 seconds;

Distance traveled by the go-kart = 15*40 = 600m

How many two-digit primes have both their digits non-prime?


6 5 4 3 2

Answers

Answer:

11, 13, 17, 31, 37, 71, 73, 79, 97 are the two digit numbers which remain prime even on interchanging the digits.

Step-by-step explanation:

What is the answer to this?
5x-7>4x+8

Answers

Answer:

x>15

Step-by-step explanation:

subtract 4x from both sides and add 7 to both sides

Evaluate the expression 3.14(a2 + ab) when a = 4 and b = 2. (Input decimals only, such as 12.71, as the answer.) will pick brainleiest!

Answers

Answer:

75.36

Step-by-step explanation:

3.14 (a2 + ab)

Substitute a = 4 and b = 2 into the equation:

3.14 (4^2 + 4*2)

= 3.14 (16 + 8)

= 3.14 (24)

= 75.36

Answer:

75.36

Step-by-step explanation:

=> (3.14)(a²+ab)

Putting a = 4, b = 2

=> [tex](3.14)[(4)^2+(4)(2)][/tex]

=> [tex](3.14)(16+8)[/tex]

=> [tex](3.14)(24)[/tex]

=> 75.36

Help Idk what this is ASAP

Answers

Answer:

A

Step-by-step explanation:

Reflected across the x-axis => but then moved up 4 units

this makes it in a way "flipped"

We see a's coordinates = (-3, 3)

b's coordinates = (-1, 1)

c's coordinates = (-2, 3)

Hope this helps!

Answer:

Choice A

Step-by-step explanation:

Step 1 - reflection across x-axis, affects y-coordinate only

(x, y) ⇒ (x, -y)

Step 2- 4 units up, affects y-coordinate only

(x, -y) ⇒ (x, -y+4)

So for the given points we have:

A(-3, 1) ⇒ A'(-3, -1+4)= A' (-3, 3)B(-1, 3) ⇒ B'(-1, -3+4)= B' (-1, 1)C(-2, 1) ⇒ C'(-2, -1+4)= C' (-2, 3)

Choice A is correct

How many units long is a line segment whose endpoints have coordinates (-3,7) and (2,-5)?

Answers

Answer:

D = 13 units

Step-by-step explanation:

Using Distance Formula to find the length.

Distance Formula = [tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]

D = [tex]\sqrt{(2+3)^2+(-5-7)^2}[/tex]

D = [tex]\sqrt{(5)^2+(-12)^2}[/tex]

D = [tex]\sqrt{25+144}[/tex]

D = [tex]\sqrt{169}[/tex]

D = 13 units

Answer:

i think its 13

Step-by-step explanation:

i just plotted the points on a coordinate plane and counted it out its was around 12.8 so i rounded it and its was 13

Ben has 400 counters in a bag. He gives 35 of the counters to Sonia 130 of the counters to Phil 75 of the counters to Lance What fraction of the 400 counters is left in Ben’s bag? Give your fraction in its simplest form. (With workings out)

Answers

Answer:

2/5

Step-by-step explanation:

subtract 130,35,and 74 from 400 you will have 160/400 left then you find the greatest common and divide! and get 2/5

Answer: 2/5

Step-by-step explanation:

Ben gives 35 to Sonia, 130 to Phill, 75 to Lance, in total he gives away 240 counters. the fraction of the counters left in his bag would be 400-240 which is 160 and so his fraction would be 160/400 and this in simplest form would be 8/20 if you divide by 20 and then to simplify that you can divide by 4 to get 2/5

U.S. Population can be modeled by the function f(x)=165.6x^1.345, where f(x) is in thousand and x is the number of year after 1800. What is f(50) and what does it mean?

Answers

Answer:

f(50) = 31928.24 thousands

Therefore, it means that the US population in year 1850 is 31928.24 thousands

Step-by-step explanation:

Given the function;

f(x)=165.6x^1.345

Where;

f(x) is in thousand and

x is the number of year after 1800

To determine f(50), we will substitute x = 50 into the function of f(x);

f(50)=165.6(50)^1.345

f(50) = 31928.24 thousands

Since f(50) is the US population in year 1800+50 = 1850

Therefore, the US population in year 1850 is 31928.24 thousands

change 07 10 to 12 hour clock

Answers

Answer:

7.10a.m.

Step-by-step explanation:

Thats it , byeee

Answer:

7.10am

Step-by-step explanation:

....................

2) Calculate the distance between the two points, and round your answer
to the nearest tenth: (8,5).(-1,3)
Your answer​

Answers

Answer:

6.78 me too I have to work at the same place and time to go home and see you soon I have to go home to sleep now but I'm

Lia must work at least 5 hours per week in her family’s restaurant for $8 per hour. She also does yard work for $12 per hour. Lia’s parents allow her to work a maximum of 15 hours per week overall. Lia’s goal is to earn at least $120 per week. Write a system of inequalities to represent this situation. Let r be the number of hours worked at the restaurant, and let y be the number of hours of yard work. Graph the inequalities. What is the maximum number of hours Lia can work at the restaurant and still meet her earnings goal? Explain. What is the maximum amount of money Lia can earn in 1 week? Explain.

Answers

Answer:

(a)

[tex]r\geq 5[/tex]

[tex]r+y\leq 15[/tex]

[tex]8r+12y\geq 120[/tex]

[tex]y\geq 0[/tex]

(c)Maximum number of hours Lia can work at the restaurant and still meet her earnings goal = 15 hours

(d)Maximum Earning = $160

Step-by-step explanation:

Let r be the number of hours worked at the restaurant.

Let y be the number of hours of yard work,

Lia must work at least 5 hours per week in her family’s restaurant for $8 per hour.

[tex]r\geq 5[/tex]

Since she does yard work, [tex]y\geq 0[/tex]

Lia’s parents allow her to work a maximum of 15 hours per week overall.

[tex]r+y\leq 15[/tex]

Lia’s goal is to earn at least $120 per week.

The restaurant, r pays $8 per hour

Yard work, y pays $12 per hour.

Therefore:

[tex]8r+12y\geq 120[/tex]

The system of inequalities that represent this problem is therefore:

[tex]r\geq 5[/tex]

[tex]r+y\leq 15[/tex]

[tex]8r+12y\geq 120[/tex]

[tex]y\geq 0[/tex]

(b)The graph of the inequality is attached below

(c)When the graph is plotted, the vertices of the feasible region are:

(5,10)(5, 6.7)(15,0)

Where the first term is for the number of hours worked in the restaurant.

The maximum value of r possible is 15 from the three points.

Therefore, she can work at the restaurant for 15 hours and still meet her earning goal.

(d)Maximum Amount Lia can earn in 1 Week

At (5,10), Earning=(5X8)+(10X12)=40+120=$160At (5, 6.7), Earning=(5X8)+(6.7X12)=40+80.4=$120.4At (15,0) Earning=(15X8)+(0X12)=$120

Since she has to work at least 5 hours at the restaurant, the maximum amount possible is $160.

Please help me it takes do long to do this please

Answers

Answer:

I really don't know , I am in 7th grade

Answer:

x = 121°

Step-by-step explanation:

The lower left vertex and 115 are adjacent and supplementary, thus

left vertex = 180° - 115° = 65°

The angle round a point = 360°, so the top vertex is

360° - 304° = 56°

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

x is an exterior angle of the triangle, thus

x = 65° + 56° = 121°

In the Kite Club, there are a total of 17 kids. There are 5 more girls than boys. Write two equations and graph to find the number of girls in the club.

Answers

Answer:

6 boys and 11 girls

Step-by-step explanation:

hello,

let 's note x the number of boys and y the number of girls, we can write two equations

"there are a total of 17 kids"

(1)  x + y  = 17

"There are 5 more girls than boys"

(2) y = x + 5

We can replace (2) in (1) it comes

x + x + 5 = 17

<=> 2x = 17-5 = 12

<=> x = 6

and then y = 11

So, there are 6 boys and 11 girls

graphs below

hope this helps

The number of girls in the club is 6

What is an Equation ?

An equation is a mathematical statement formed from two algebraic expression when equated by an equal sign.

It is given that

Total Kids = 17

Let the number of boys be x

There are 5 more girls than boys

Let number of girls be y

y = x+5

The number of girls = x +5

x +y = 17

The graph is plotted  and is attached with the answer.

The intersection of the graph gives us the total number of girls and boys

(6,11) is the point of intersection and therefore

Number of boys = 6

No. of girls = 11

To know more about Equation

https://brainly.com/question/10413253

#SPJ2

Which equation can be solved by using this system of equations?
ſy = 3x5 – 5x + 2x2 - 10x+4
= 4x4 + 6x2 - 11
O 3x5 -5x3 + 2x2 - 10x +4-0
O 3,5 - 5x3 + 2x2 - 10x+4-4x4 + 6x3 - 11
3x5 +4x4 + x + 2x2 - 10x-7=0
+ 6x3 - 11=0
C
4x4

Answers

Corrected Question

Which equation can be solved by using this system of equations?

[tex]y= 3x^5 - 5x^3 + 2x^2 - 10x+4$ and y= 4x^4 + 6x^3 - 11[/tex]

Options

[tex](A)3x^5 -5x^3 + 2x^2 - 10x +4=0\\(B)3x^5 - 5x^3 + 2x^2 - 10x+4-4x^4 + 6x^3 - 11=0\\(C)3x^5 +4x^4 + x + 2x^2 - 10x-7=0\\(D)3x^5 - 5x^3 + 2x^2 - 10x+4-4x^4 - 6x^3 + 11=0[/tex]

Answer:

(D) [tex]3x^5 - 5x^3 + 2x^2 - 10x+4-4x^4 - 6x^3 + 11=0[/tex]

Step-by-step explanation:

[tex]y= 3x^5 - 5x^3 + 2x^2 - 10x+4\\y= 4x^4 + 6x^3 - 11\\$Therefore:\\3x^5 - 5x^3 + 2x^2 - 10x+4=4x^4 + 6x^3 - 11\\$Bring the terms on the right to the left\\3x^5 - 5x^3 + 2x^2 - 10x+4-4x^4 - 6x^3 + 11=0[/tex]

Which set of numbers does not contain 70

Answers

Answer:

No . Natural numbers are a subset of whole number. Negative numbers are entire numbers but not natural. And any set that contains it. For example, the set {1, 2.3, 2.236067977} or {-79000, pi, 2.236067977, sin(47)} or all real numbers, etc

Step-by-step explanation:

Can someone help me with this question please

Answers

Answer:

20

Step-by-step explanation:

1,2,5 have the same ratio as 4,8,20 and add up to 32

Answer:

First problem: 2sqrt(5)

Second problem: 20 ft

Step-by-step explanation:

First problem:

The geometric mean, x, of a and b is

a/x = x/b

Here you have 4 and 5, so the geometric mean, x, of 4 and 5 is

4/x = x/5

Cross multiply.

x^2 = 4 * 5

x = sqrt(4 * 5)

x = 2sqrt(5)

Second problem:

Ratio of lengths of sides is

1 : 2 : 5

Add all numbers, 1 + 2 + 5 = 8

The ratio of the longest side to the perimeter is

5 : 8

Let the longest side have length x.

5/8 = x/32

8x = 5 * 32

8x = 160

x = 20

Answer: 20 ft

Dadas as sequências identifique quais são PA e a sua razão (r): Lembre-se: para ser uma PA a diferença entre dois termos consecutivos são sempre os mesmos e é chamada de razão (r). A) (1, 1, 1, 1, ...) B) (-1, 0, 1, 2,...) C) (12, 48, 84, 120,...) D) (101, 202, 303, 404,...)

Answers

Answer:

A) 0

B) 1

C) 36

D) 101

Question:

Given the strings, identify which PA are and their reason (r): Remember: to be a PA the difference between two consecutive terms is always the same and is called the (r) ratio. A) (1, 1, 1, 1, ...) B) (-1, 0, 1, 2, ...) C) (12, 48, 84, 120, ...) D) (101 , 202, 303, 404, ...)

Step-by-step explanation:

PA is said to be the difference between two consecutive terms. The PA is always the same for these terms. It is also called the (r) ratio.

A) (1, 1, 1, 1, ...)

PA = 2nd term - 1st term = 3rd term - 2nd term

Using the 1st and second term

1st term = 1

2nd term = 1

PA = 1-1

PA = 0

B) (-1, 0, 1, 2, ...)

PA = 2nd term - 1st term = 3rd term - 2nd term

Using the 1st and second term

1st term = -1

2nd term = 0

PA = 0- (-1) = 0+1

PA = 1

C) (12, 48, 84, 120, ...)

PA = 2nd term - 1st term = 3rd term - 2nd term

Using the 1st and second term

1st term = 12

2nd term = 48

PA = 48 - 12

PA = 36

D) (101 , 202, 303, 404, ...)

PA = 2nd term - 1st term = 3rd term - 2nd term

Using the 1st and second term

1st term = 101

2nd term = 202

PA = 202 -101

PA = 101

Q1 Q2 – Harder brackets
Find an expression without brackets
for the area of each rectangle.
9
19
6
Q2
(x + 5)
0
13
area =
[2]
I

Answers

Answer : The area of given rectangle is p² - 7p

Step-by-step explanation :

Formula used to calculate the area of rectangle is:

Area of rectangle = length × breadth

Given:

Length = (p-7)

Breadth = p

Area of rectangle = length × breadth

Area of rectangle = (p-7) × p

Area of rectangle = p² - 7p

Therefore, the area of given rectangle is p² - 7p

Help me please someone

Answers

Step-by-step explanation:

-2.21z + 1.82a - 3.38

I think this is the answer

Does the table represent a function?(Only 2 hours to answer!)

Answers

Answer: (a) Yes. The table is a function.

Step-by-step explanation:

In order to be a function, there cannot be any duplicate x-values.

In the given table, each x-value is different so this IS a function.

(5 ^ 11)/(5 ^ ?) = 5 ^ 4

Answers

Answer:

200

Step-by-step explanation:

55 / 5x = 20

5x=1100

x=200

please give answer please please please

Answers

Answer:

3/8

Step-by-step explanation:

for the number 1 on spinner a there are 4 possibilites.

same goes for 2,3 and 4. all in all, there is 32 posibilities total.

for number 1 on spinner a, there are 3 poss. for number 2, there are 2 poss.

in total there are 6 possibilities on spinner A and 6 on spinner B. 6 plus 6 is 12.

12/32=3/8

Answer:

Its 3/8

Step-by-step explanation:

One circular table has a diameter of 9 ft, and another circular table has a diameter of 20 ft. How much greater is the area of the larger table? Round to the nearest whole number.

Answers

Answer:

180

Step-by-step explanation:

20×9=180

write an equation to find the value of x:

Answers

Answer:

Since these angles are vertical their angle measures are equal so the equation is 7x - 9 = 110.

Answer:

x=17

Step-by-step explanation:

7x-9=110

7x=119

x=17

HELP ME ASAP.. MY TEACHER IS ASKING FOR THE ANSWER ​

Answers

Answer:

a) 10.7 cm

b) 11.6 cm

c) 29.9 cm²

Step-by-step explanation:

a) sin(α)/a = sin(β)/b

sin(∠BCD)/BD = sin(DBC)/DC

sin(41°)/BD = sin(55°)/13.4

BD = 13.4*sin(41°)/sin(55°) = 10.73 cm ≈ 10.7 cm

b) From ΔBCD , ∠BDC = 180-(41+55) = 84°

∠ABD and ∠BDC are alternate interior angles, so they are congruent, and

∠ABD = ∠BDC  = 84°

AD²= AB² + BD² - 2*AB*BD*cos (∠ABD) =

= 5.6² + 10.73² - 2*5.6*10.73*cos(84°) = 133.93 cm²

AD =√(133.93) ≈11.6 cm

c) Area(ADB) = (1/2)*AB*BD*sin(∠ABD)=(1/2)*5.6*10.73*sin(84°) ≈ 29.9 cm²

Which multiplication expression is equivalent to this?

Answers

The third option as you can must flip the second devision part of the equation and make the devision in the middel a multiplication.

Answer:

x+8/x^2 * 2x^2/2x+16

Step-by-step explanation:

x-1 divided by X^3-3x^2-x+3

Answers

Answer:

1 / (x + 1)(x - 3).

Step-by-step explanation:

x^3-3x^2-x+3

= x^2(x - 3) - 1(x - 3

= (x^2 - 1)(x - 3)

= (x - 1)(x + 1)(x - 3)

So x - 1 divided by  x^3 - 3x^2 - x + 3

= (x - 1) /  (x - 1)(x + 1)(x - 3)

= 1 / (x + 1)(x - 3).

Find the range of values for which
x2–5x + 6 < 0​

Answers

here, we are required to find the range of values for which

The range of values for which x²–5x + 6 < 0

is at; x < 3

x2–5x + 6 < 0

By solving the expression quadratically; we have;

x² -3x -2x +6 < 0

By factorization;

(x - 2)(x - 3) < 0

Therefore;

x < 2 and x < 3.

The range of values for which x²–5x + 6 < 0

is at;

x < 3

Read more:

https://brainly.com/question/24434501

Please help! What will be the perimeter and the area of the rectangle below if it is enlarged using a scale factor of 4.5?
A.) Perimeter = 46 cm, area = 131.25 cm2
B.) Perimeter = 126 cm, area = 972 cm2
C.) Perimeter = 46 cm, area = 972 cm2
D.) Perimeter = 126 cm, area = 131.25 cm2

Answers

Answer:

B

Step-by-step explanation:

4.5 x 6 = 27

4.5 x 8 = 36

27 x 2 = 54

36 x 2 = 72

54 + 72 = 126cm Perimeter/

27 x 36 = 972 cm2 Area/

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