A frog has fallen into a pit that is 30m deep. Each day the frog climbs 3m but falls 2m at night. How many days those it takes the frog to escape ​

Answers

Answer 1

Answer:

28 days

Step-by-step explanation:

because the frog climbs 3m in the day, but falls 2m at night, it technically climbs 1m every 24 hours. this means after the 1st day, it will have climbed a total of 1m, on the second, it will have climbed a total of 2m, and so on. however, when it gets nearer to the top, that's when things start to change. after the 26th day, it will have climbed 26m. on the 27th day, it will be 27m, but then when it jumps 3m the next day, it will reach 30m total before it falls during the night and it will be able to get out of the hole.

i hope this helps! :)


Related Questions

PLS HELP ASAP!!!

Figure RST is reflected about the x-axis and then translated down 1 unit to obtain figure R′S′T′:

A coordinate plane is shown. Triangle RST has vertices R at 4 comma negative 2, S at 7 comma negative 2, and T at 5 comma negative 5. Triangle R prime S prime T prime has vertices R prime at 4 comma 1, S prime at 7 comma 1, and T prime at 5 comma 4.
Which statement best describes the relationship between the two figures? (4 points)

Figure RST is congruent to figure R′S′T′.
Figure RST is bigger than figure R′S′T′.
The measure of angle R is equal to the measure of angle S′.
The measure of angle R is equal to the measure of angle T′.

Answers

A) Figure RST is congruent to figure R′S′T′.

Answer:

a

Step-by-step explanation:

Which operation means "split evenly"?
addition
subtraction
multiplication
division

Answers

Answer:

Division

Step-by-step explanation:

Answer:

division

Step-by-step explanation:

when you divide you split into even groups

express 0.3°8° in form a/b where by b#0​

Answers

Answer:

0.3° = 0.3π/180

8° = 2π/45

Multiplying both

0.3π/180×2π/45

3/10π/180 × 2π/45

You will get

π/300 × π/45

= π²/13500 where a = π² b= 13500

Hope this helps.

Pls help I need these points
Justin Launches a water balloon vertically from a platform on his roof height in feet is represented By the equation H = -16t^2+32t+48,where T is the time (in seconds) after he launch is the water balloon

What is the maximum height of the water balloon?

How long does it take to reach its maximum height?

Answers

Answer:

a) 64 feetb) 1 sec

Step-by-step explanation:

Given the height in feet represented by the equation H = -16t²+32t+48, at maximum height, the velocity of the water balloon is zero.

Velocity = dH/dt = 0

dH/dt = -32t+32 = 0

-32t+32 = 0

-32t = -32

t = -32/-32

t = 1sec

Substituting t = 1sec into the modeled equation of the height

H = -16t²+32t+48

H = -16(1)²+32(1)+48

H = -16+80

H = 64 feet

The maximum height of the water balloon is 64 feet

b) In order to know how long it takes to reach its maximum height, we will substitute H = 64 feet into the equation of the height.

64 = -16t²+32t+48

-16t²+32t = 16

16t²-32t+16 = 0

t²-2t+1 = 0

t²-t-t+1 = 0

t(t-1)-1(t-1) = 0

(t-1)² = 0

t-1 = 0

t = 1sec

It took the water balloon 1 sec to reach its maximum height.

Can someone plz help me solved this problem! I really need help ASAP! Will mark you as brainiest!

Answers

Answer:

a) k = 3 b) k = 4

Step-by-step explanation:

a) 3 x 7 = 21

b) 4 x 3 = 12

Answer:

1) k=3 (2) k=4

Step-by-step explanation:

[tex]21=k\cdot \:7\quad \\\mathrm{Switch\:sides}\\k\cdot \:7=21\\\frac{k\cdot \:7}{7}=\frac{21}{7}\\k=3\\2)\\12=k\cdot \:3\\Switch\:sides\\k\cdot \:3=12\\\frac{k\cdot \:3}{3}=\frac{12}{3}\\k=4[/tex]

What is the value of p?

Answers

The equal of all angles is 180 so A=90 and B=180-125=55 so the answer is D = 35

Answer:

Step-by-step explanation:

The radius of a circle is 7.1 cm. Find the circumference to the nearest tenth.

Answers

Answer:44.61?

Step-by-step explanation:

Find the difference of the complex numbers (7+3i)-(3-7i)

Answers

Answer:

4 + 10i

Step-by-step explanation:

Expanding the bracket we have;

(7+3i)-(3-7i) = 7+3i-3+7i

(7+3i)-(3-7i) = 7+3i-3+7i = 7-3 + 3i + 7i= 4 + 10i

Answer Option C

=7+3i-3+7i

=7-3+3i+7i=

=4+10i

What proportion results in the equation 9 m = 10 n?

Answers

Answer:

it might come from 9/n = 10/m

Answer:

9/m=10/n

Step-by-step explanation:

Can anybody help me solve for surface area?


(Formula=add all the areas of the faces)

Answers

Answer:

230.3cm^2

Step-by-step explanation:

surface area: sum of all faces

base: 12 x 2.5 = 30cm^2

back: 84 cm ^2

cross section x 2 = 7 x 2.5 = 17.5

use Pythagoras theorem to find the width of slope: 7^2 + 2.5^2 = 49 + 6.25 = 55.25. square root of 55.25 = 7.4

so, area of slope : 7.4 x 12 = 88.8cm^2

sum of all areas: 114 + 106.3  = 230.3

7. A shopkeeper can buy 36 toys for $20.52. What will be
for 120 toys?​

Answers

Answer:

$68.40

Step-by-step explanation:

Let x represent the required cost.

Since the number of toys is directly proportional to the cost:

x : $20.52 = 120 : 36

i.e.  x/$20.52 = 120/36

      x = ([tex]\frac{120 * $20.52}[/tex])/36

      x = $2462.40/36

      x = $68.40

Hope this helps!!!

Prove that

(1 + cot A + tan A) (sin A - cos A) = sin A tan A - cot A cos A

Answers

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identities

tan A = [tex]\frac{sinA}{cosA}[/tex] , cot A = [tex]\frac{cosA}{sinA}[/tex]

Consider the left side

(1 + cotA + tanA)(sinA - cosA)

each term in the second factor is multiplied by each term in the first factor.

1(sinA - cosA) + cotA(sinA - cosA) + tanA(sinA - cosA)

= sinA - cosA + cosA - [tex]\frac{cos^2A}{sinA}[/tex] + [tex]\frac{sin^2A}{cosA}[/tex] - sinA ( collect like terms )

= [tex]\frac{sin^2A}{cosA}[/tex] - [tex]\frac{cos^2A}{sinA}[/tex]

= ( sinA × [tex]\frac{sinA}{cosA}[/tex] ) - ([tex]\frac{cosA}{sinA}[/tex] × cosA )

= sinAtanA - cotAcosA

= right side ⇒ proven

Aaron tracks the time it takes him to mow lawns by writing coordinate points relating x, the time in hours it takes to mow a lawn, and y, the area of land mowed in acres. Two of his points are (3, 1.5) and (5, 2.5). Which statement describes the slope of the line through these two points?

Answers

Also need to be increase different then level more of the level

Answer:

Aaron;s rate for mowing lawns is 0.5 acres per hour."as1.5 acres / 3 hours = 0.5 acres an hour2.5 acres / 5 hours = 0.5 acres an hour  Option (B)

Step-by-step explanation:Aaron;s rate for mowing lawns is 0.5 acres per hour."as1.5 acres / 3 hours = 0.5 acres an hour2.5 acres / 5 hours = 0.5 acres an hour

What should be done first to simplify 11 – 2 + 7 + 5 – 8 + 13

Answers

Answer:

I think the first step is to group all the addition first and then you do the subtraction.

Answer:

Remember PEMDAS; parenthesis, exponents, multiplication, division, addition and subtraction.

Step-by-step explanation:

so ti will be;

2+7+5-8+13

27-8

21

Which phrase should be inserted on the line to correctly compare the two fractions? Use the models to help.

Answers

Answer:

is greater than

Step-by-step explanation:

The answer is C less than we got it wrong

Step-by-step explanation:

What is the quotient when (x + 2) is divided into the polynomial 2x2 - 2x - 12?

Answers

Answer:

2(x-3)

Step-by-step explanation:

2x² - 2x - 12= 2(x²-x+6)= 2(x²+2x- 3x+6)= 2(x-3)(x+2)

(2x² - 2x - 12)/(x+2)= 2(x-3)(x+2)/(x+2)= 2(x-3)

Write Successor of 999 please help me ​

Answers

Answer:

1000

Step-by-step explanation:

The successor of 999 is 1000

999+1=1000

SUCCESSOR

The number which comes immediately after a particular number is called its successor.  The successor of a whole number is the number obtained by adding 1 to it.  Clearly, the successor of 0 is 1; successor of 1 is 2; successor of 2 is 3 and so on.

help me please !!!!!!

Answers

Answer:

256 ft^250 ft^225 ft^2281 ft^2

Step-by-step explanation:

Prism Area

The total surface area of a rectangular prism is given by ...

  SA = 2(LW +H(L +W))

For L = 12 ft, W = 5 ft, H = 4 ft, the surface area is ...

  SA = 2((12 ft)(5 ft) +(4 ft)(12 ft +5 ft)) = 2(60 ft^2 +(4 ft)(17 ft))

  = 2(60 ft^2 +68 ft^2) = 256 ft^2 . . . blank 1

__

Pyramid Lateral Area

The lateral area of the pyramid is 4 times the area of one triangular face:

  LA = 4(1/2)bh = 2(5 ft)(5 ft) = 50 ft^2 . . . blank 2

__

Pyramid Base Area

The area of the square base of the pyramid is the square of the length of one edge:

  B = (5 ft)^2 = 25 ft^2 . . . blank 3

__

Total Exposed Area

The exposed area of the prism is its area less that of the base of the pyramid. The total exposed area is the sum of prism exposed area and lateral area of the pyramid.

  total exposed area = (exposed prism area) + (pyramid lateral area)

  = (prism area) - (pyramid base area) + (pyramid lateral area)

  = 256 ft^2 - 25 ft^2 + 50 ft^2

  total exposed area = 281 ft^2 . . . blank 4

Find the range of the graphed function

Answers

Answer:

-9 ≤ y ≤ 5

Step-by-step explanation:

The range is all the values of y. In this case, the values of y are any number in between -9 and 5. So -9 ≤ y ≤ 5.

Answer:

x ≥ 0

Step-by-step explanation:

The output or possible values you could get as a result from
an expression or equation.

Answers

Answer:

The Solution Set

Step-by-step explanation:

Despite missing some context, the output we could get as result of an expression/equation it is what we call a Solution set. A set which makes the initial statement of equation/expression true, therefore valid.

[tex]x^{2} -7x+12=0\\(x-3)(x-4)=0\\S=\{3,4\}[/tex]

Therefore, the elements of the Solution set, 3 and 4 when plugged into the equation make the statement of the quadratic equation true.

[tex](3)^{2}-7(3)+12=0\\-12+12=0\\0=0[/tex]

The output or possible values you could get as a result from an expression or equation is the solution set of the equation

Take for instance, we have the following equation

[tex]x^2 = 4[/tex]

When solved, the equation becomes

[tex]x = \pm 2[/tex]

This can be rewritten as:

[tex]x = \{-2,2\}[/tex]

This means that -2 and are the solution set of the equation [tex]x^2 = 4[/tex]

Hence, the output or possible values are called solution set

Read more about equations at:

https://brainly.com/question/14323743

HELP MARK AS BRAINLIST

Answers

Answer: Area for trapezoid= 1/2(4+5×1)=4.5 m

Area of triangle= Iam not exactly sure

hope this helped you a bit

Step-by-step explanation:

f(x) is a function true or false

Answers

Answer:

Depends on the x value

Step-by-step explanation:

f(x) can only be a function if the x values are not repeating.

Q1.work out the sum of the interior angles of a pentagon.
Q2.work out the size of one interior angle of a regular octagon.
Q3.work out the size of one exterior angle of a regular hexagon

Answers

Answer:

Question 1:

The sum of interior angles of a polygon can be found by the following formula:

(n-2) × 180

Where n is the no. of sides

A pentagon has 5 sides

So,

= (5-2) × 180

= (3) × 180

= 540 degrees

Question 2:

Since The sum of interior angles of a regular octagon is 1080 and the total interior angle are 8

So, Measure of interior angle = [tex]\frac{1080}{8}[/tex]

Measure of interior angle = 135 degrees

Question 3:

Since, one interior angle in a hexagon measures 120 degrees.

So,

The interior angle should be subtracted by 180 to get the exterior angle.

Exterior angle = 180-120

Exterior Angle = 60 degrees

How do i graph the quadratic function f (x)=-(x-3)(x+1)

Answers

Answers:

It's basically Inside, Outside, Outside, Inside. (I. O.O.I.)

Explanations:

Given

[tex]f(x)=-(x-3)(x+1)[/tex]

Distribute the (-1) to (x-3)

[tex]f(x)=(-x+3)(x+1)[/tex]

Now let's work the I. O. O. I.

Inside:

[tex](-x)(x)=-x^2[/tex]

Outside:

[tex](-x)(1)=-x[/tex]

Outside:

[tex](3)(x)=3x[/tex]

Inside:

[tex](3)(1)=3[/tex]

Add both the outsides (-x) and (3x) together

[tex]-x+3x=2x[/tex]

Your new equations is now.

[tex]f(x)=-x^2+2x-3[/tex]

if f(x) is 5x-4 and g(x) is 4x+1 then what is (f-g)(x)

Answers

Answer:

Step-by-step explanation:

5x - 4 - (4x + 1)

5x - 4 - 4x - 1

x - 5

Which is equivalent to 3 square root of 8 1/4 x

Answers

Answer:

3

33

x

2

Step-by-step explanation:

Simplify

(Something is wrong with my keyboard hopefully you can put this together I'm sorry)

35 because quien u as the 8 and the 3 it gives you 35

Please answer !!!!!!!! Will mark brainliest !!!!!!!!!!!!

Answers

Answer:

B)

D)

Step-by-step explanation:

B) 1 and 13 are x intercepts so true

D) greatest profit is when price is 7; after that profit is getting smaller because function is decreasing

I need help showing my work for the picture I've attached! I already have the answer as you can see below :)

Answers

Answer:

3x²y∛y

Step-by-step explanation:

∛27x⁶y⁴= ∛3³(x²)³y³y= 3x²y∛y

what is the c value?
answer in x= form

Answers

x form =-1+√21,-1-√21

This is Surface Area of Composite Figures and I need help solving this question. I'm gonna fail my math exam if I don't figure this out!!!

Answers

Answer: 302 cm2

Step-by-step explanation:

Hi, to answer this question we have to calculate the surface area of the cubes and the rectangular prism, and the then add them (minus the overlaps)

Surface area of a cube (SAC)= 6 x side length ^2  

Since one side of each cube is covered by each other, we simply have to multiply the area of one side by 5 instead of 6.

SAC = 5 x (2)^2 = 20 cm2

Since both cubes are equal, we simply multiply it by 2:

20 x 2 = 40 cm2 (surface area of the 2 green cubes)

Surface Area of a rectangular prism (SAP) = 2wl + 2lh + 2hw

Where:

w = width (5); l = length (11); h = height (5)

SAP = 2 (5x 11) + 2 (11 x5) + 2 (5x5) = 110+110+50=270 cm2

Finally, adding both surface areas, and subtracting the base area of the bottom cube covered by the prism multiplied by 2 ( overlap )

270+40-2(4) = 302 cm2

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