Enter a number in the box to complete the sentence. Give your answer to the nearest half-hour.
When lit, a candle loses 5% of its original height every hour. Jennifer lit a candle with an original height of 8 inches.
Until the candle has been burning for at least _____ hours, the height of Jennifer's candle will be more than 7 inches.
Please help me answer this I'm currently taking the end of the year assessment right now!!

Answers

Answer 1

Answer:

2.5 hours

Step-by-step explanation:

To solve this question we can use the exponencial function:

P = Po * (1 + r)^t

Where P is the final value, Po is the inicial value, r is the rate and t is the time.

In this case, we have Po = 8, P = 7 and r = -5% = -0.05. So, we can solve for t:

7 = 8 * (0.95)^t

0.95^t = 0.875

log(0.95^t) = log(0.875)

t * log(0.95) = -0.1335

t * (-0.0513) = -0.1335

t = -0.1335 / (-0.0513) = 2.6023 hours

Rounding to the nearest half-hour, we have t = 2.5 hours

Answer 2

Answer:

2.5

Step-by-step explanation:

I had this question and got it right


Related Questions

Do the table and graph represent the same function?

Answers

No because the numbers in the graph don’t match the values in the table

What is the vertex of the graph of the function f(x) = x2 + 8x - 2?
(-4, 18)
(0, -2)
O (-8,-2)
O (-4, -18)

Answers

Answer:

vertex = (- 4, - 18 )

Step-by-step explanation:

Given a parabola in standard form

f(x) = ax² + bx + c ( a ≠ 0 )

The the x- coordinate of the vertex is

[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]

f(x) = x² + 8x - 2 ← is in standard form

with a = 1 and b = 8 , thus

[tex]x_{vertex}[/tex] = - [tex]\frac{8}{2}[/tex] = - 4

Substitute x = - 4 into f(x) for corresponding y- coordinate

f(- 4) = (- 4)² + 8(- 4) - 2 = 16 - 32 - 2 = - 18

vertex = (- 4, - 18 )

The vertex of the parabola is (-4, -18).

Option D is the correct answer.

What is a function?

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

To find the vertex of the function f(x) = x² + 8x - 2, we first need to convert the function into vertex form, which is f(x) = a(x - h)² + k, where (h, k) is the vertex of the parabola.

Completing the square.

f(x) = x² + 8x - 2

f(x) = (x + 4)² - 18

Therefore,

The vertex of the parabola is (-4, -18).

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ5

A car was bought a year ago for £1875. It is now worth £1335. By what percentage has the car depreciated in value? (round to 1 decimal place)

Answers

Answer:

28.8%

Step-by-step explanation:

1875 - 1335 = 540

[tex]\frac{540}{1875}[/tex] x 100% = 28.8%

factories fully the flowing
[tex]x^{2} +3x \\2x^{2} -8x \\6x+9x^{2} \\12x^{3} -4x^{2}[/tex]

Answers

Answer:

Given below:)

Step-by-step explanation:

1) (x)(x+3)

2) (2x)(x-4)

3) (3x)(2+3x)

4) (4x^2)(3x+1)

I have factorised all of them by taking the common factor out of each

Find the surface area of the polyhedra
pls!! show how you got the surface area ​​

Answers

Answer:

164 cm.

Step-by-step explanation:

First, I solved for the bottom and top. 10 times 3 is 30. Then I doubled it because it's the same answer for the bottom and top. I got 60.

Next I solved for the sides. 4 times 3 is 12. Then I doubled it because it's the same answer for both sides. I got 24.

Lastly I solved for the front and back. 10 times 4 is 40. Then I doubled it because it's the same answer for both the front and back. I got 80.

After all this, I added everything together. 60 + 24 + 80 = 164.

Sorry, I'm not the best at explaining things.

Help someone please cuhhhhhhhhhh!!!!!

Answers

Answer:

6^10

Step-by-step explanation:

2+11=13

13-3=10

Help please with this question

Answers

Answer:

The third graph down

Step-by-step explanation:

-2.1 w > 12.81

Divide each side by -2.1, remembering to flip the inequality

-2.1w / -2.1 < 12.81/ -2.1

w < -6.1

There is an open circle at -6.1 and the line goes to the left

Answer: Oops its the 3rd answer, my explanation is wrong but the first paragraph has some decent info

Step-by-step explanation:

I could just give you the answer but I want you to intuitively understand it. W is the variable you are looking for, right. So anything shaded on those number lines is going to indicate the value of w. The answer is that w < -6.1

Negative numbers are a little bit tricky when using less and greater than. But basically, less than means closer to 0 and greater than means farther from zero. So this means that w is every single number less than -6.1, or closer to zero and then continuing on in the postive direction.

Now for the little circle on the -6.1:

A circle that is not shaded in means that this value is NOT included. And we can see that the sign is <, not [tex]\leq[/tex]. So we are going to have an open circle from -6.1 that is going closer to zero and beyond. The first answer fits that criteria perfectly

Someone please help me :( I’m struggling

Answers

Answer:

ax - by = k

Step-by-step explanation:

A literal equation is an equation made up of variables representing numbers that can be changed

ax - by = k is a literal equation because there are no numbers

Letters stand for each item


Please Help !
Find The Length Of AC .
Express Your Answer In Terms Of Pi .

Answers

Answer:

AC: 31m or 30.999m

Step-by-step explanation:

Diameter =2R = 24

Circumference = 2πR

= 24π

= 75.398223686155 m

AB = 180  diameter

180-30 = 150 degree

150/30 = 5

360/30 degree = 12

74.398223686155 /12 = 6.19985197385 x 5 = 30.9992598693 = 30.999m

These below are just checkers.

360/74.398223686155 = 4.83882520527 N/a

150/4.83882520527 =30.9992598692 N/a

!35 POINTS! Find the total surface area of the following prism! ​

Answers

Total surface area is 152 cm

Answer:

152

Step-by-step explanation:

Why is this still worth 18 points?
because if you math 12+273 it = 8281 or something free point thank

which of the following descriptions represents the transformation shown in the image?​

Answers

Answer:

C. left two units, up three, reflection on the x = -1

Simplify the following fraction:147/231


Answers

Answer:

7/11

Step-by-step explanation:

Both the numerator and denominator are divisible by 21.

so:

147 divided by 21 = 7

231 divided by 21 = 11.

When they are re-assembles to a fraction = 7/11

Hope this helps.

Please mark brainiest

the final answer simplified is 7/11 because both the numerator and denominator can be divided by 21. hope that helps!

a car drives at 45 km for 3 hours . how far does the car travel

Answers

Answer:

135 km

Step-by-step explanation:

I assume by 45 km you mean 45 km/h so all you have to do is 45x 3 since the car was driving for 3 hrs.

Answer:

The car traveled 135 kilometres!

Step-by-step explanation:

Here you have to do the speed (45km/h) multiplied by the time (3 hours)

45 x 3 = 135

So the car has traveled 135 kilometres!

HOPE THIS HELPS!!

Mark me brainlest!

write 10 examples of rectangle that you observed in your daily life

Answers

Answer:

-a book

-a flash card

-the american flag

-post-it

-pencil case

-calculator

-phone

-dollar bill

-tv

-ruler

Step-by-step explanation:

________________________________

Hey!!

Ten examples of rectangles that I observed in my daily life are as follows:

BoxtelevisionMobile phoneswhiteboardClipboardCassetteBagChocolateBiscuitRuler

________________________________

Find the length of side x in simplest radical form with a rational denominator.

Answers

Answer:

x = 2[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Using the sine or cosine ratio in the right triangle and the exact value

cos45° = [tex]\frac{\sqrt{2} }{2}[/tex] , then

cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{4}[/tex] = [tex]\frac{\sqrt{2} }{2}[/tex] ( cross- multiply )

2x = 4[tex]\sqrt{2}[/tex] ( divide both sides by 2 )

x = 2[tex]\sqrt{2}[/tex]

Me pueden ayudar en este problema de potencia antonio tiene3 cajas , en cada caja hay 3 botones que contienen 3 lapices cuantos lapices habra en total

Answers

Answer:

23 lapices

Step-by-step explanation:

Él tiene 3 cajas.

Cada caja contiene 3 botones.

Cada botón contiene 3 lápices.

La cantidad de lápices que tendrá en total es:

[tex]N = 3 * 3 * 3 = 3^3 = 27[/tex]

Tendrá 23 lápices

The hard-cover edition of a book cost 3 times as much as the paperback edition. Both editions together cost $26.60. Find the cost of each.

Answers

Answer:

the hardcover is 19.95, and the parback is 6.65. enjoy.

4. Two non-common sides of adjacent, complementary angles form
a) a straight angle
b) a reflex angle
c) a right angle
d) a linear pair

Answers

Answer:

c) a right angle

Step-by-step explanation:

A right angle can be defined as angles that are created or formed by two non-common sides of adjacent, complementary angles.

These angles have the following attributes:

a) They are angles that are complementary angles. This means that the sum of these angles is equal to 90°

b) The angles are adjacent complementary angles: These means that the angles are next to each other.

Two non-common sides of adjacent, complementary angles form a right angle because they have a common vertex and arm.

Answer:

a right angle

Step-by-step explanation:

10 pts!
How can you determine if two triangles have a scale factor?

Answers

Answer:

When two triangles are similar, the reduced ratio of any two corresponding sides is called the scale factor of the similar triangles. In Figure 1 , Δ ABC∼ Δ DEF. Figure 1 Similar triangles whose scale factor is 2 : 1. The ratios of corresponding sides are 6/3, 8/4, 10/5. hope that helps love!

Answer:

i dont know but here is some help

Step-by-step explanation:

Scale Factor. Suppose you have two similar figures , one larger than the other. The scale factor is the ratio of the length of a side of one figure to the length of the corresponding side of the other figure. Example: Here, XYUV=123=4 .

78% of a number, P, is 23.4 more than 117% of another number, Q. It is further given
that is 40% of P. Find P and Q.

Answers

Answer:

Step-by-step explanation:

"78% of P" looks like this in an algebraic expression: .78P

"117% of Q" looks like this: 1.17Q

"...is 23.4 more than [above]" looks like this: [above] + 23.4

Putting that all together in one equation, knowing that the word "is" means "equals":

.78P = 1.17Q + 23.4

From there, we will now use the fact that Q is 40% of P, which looks like this:

Q = .4P

Now, using that substitution:

.78P = 1.17(.4P) + 23.4 and

.78P = .468P + 23.4 and

.312P = 23.4 so

P = 75

Going back up to what Q is equal to, we will sub in the value of P and solve for Q:

Q = .4P and P = 75, therefore,

Q = .4(75) so

Q = 30

Help me solve please

Answers

Answer:

44

Please see the attached picture for full solution

hope it helps...

Good luck on your assignment

Answer:

[tex]44[/tex]

hope this helps you.

brainliest appreciated

good luck! have a nice day!

7 identically sized pieces of timber are x cm long when put together. How long is each individual piece?

Answers

the answer is:
7 divided by x
and x being the length of all of them together since there are 7 identically sized pieces

Answer:

x/7

Step-by-step explanation:

7*y=x

:7     :7

y=x/7

I need help ASAP I shall give brainlyist (idk how to spell it)

Answers

Answer:

3014.4ft³

Step-by-step explanation:

V=Πr²h(volume of cylinder)

=(3.14)(8)²(15)

=3014.4ft³

Find the area of the following trapezium:
26 cm
21 cm
33 cm
Write appropriate units with your answer.

Answers

Answer:

619.5cm2

Step-by-step explanation:

Based on what you defined as the parallel sides been 26cm and 33cm and the height been 21cm.

Hence the are of trapezium is half sum of the parallel sides × height.

Expressed mathematically we have:

1/2( 26 +33) × 21 = 1/2 ( 59) × 21 = (59×21)/2= 619.5cm2

Which of the following is a solution of y - x > -3? (2, -1) (6, 2) (2, 6)

Answers

Answer: (2, 6)

Step-by-step explanation:

y - x > -3

x coordinate is 2 and y coordinate is 6

Plug in the x and y coordinates

6 - 2 = 4

4 > -3

Simplify the following expressions by using distributive property. 3x^2(4x-3)

Answers

Answer:

12x^3-9x^2

Step-by-step explanation:

[tex]3x^2(4x-3)= \\\\3x^2(4x)+3x^2(-3)= \\\\12x^3-9x^2[/tex]

Hope this helps!

LAST QUESTION!!WILL GIVE BRAINLIEST!!! AT LEAST LOOK!!! SHARE YO SMARTNESS!!! EASY BUT IM DUMB!!!!!!


Which is not a pair of congruent angles in the diagram below?

A) EAB=CDB
B) ABE=DBC
C) AEB=DCB
D) AEB=CDB

Answers

It’s the letter B because angle

Answer:

The Correct answer is D

Step-by-step explanation:

I got it right on my test :)

in a certain year a new bed costs 35000. if the rate of inflation was 20% for the next two years what would the same bed cost at the end of this period​

Answers

Answer:

42000

Step-by-step explanation:

First of all, we need to find 20 percent of 35000.

35000×20 / 100 = 7000

now we increase the bed cost by 20 percent.

35000 + 7000 = 42000

Answer:

5000

Step-by-step explanation:

NEED HELP ASAP!!
Will give BRAINILESS!!

ATTACHED PICTURE

Answers

Answer

D= t^2 + 5.6

Step-by-step explanation:

D= t + 5.3 x t + 0.3

D= t^2 + 5.6

At Shimla, temperature was -1℃ on Saturday and rose by 3℃ on Sunday. What was the temperature on Sunday?

Answers

Answer:

labron james

Step-by-step explanation:labron james labron james labron james

Answer:7c

Step-by-step explanation:

idk.

Other Questions
what is a depletion layer Which characteristics does a civilization have? Hola amigos! Me llamo Rubn Suarez y vivo en el pueblo de Mendoza, Argentina. Hoy es sbado y mi padre est enfermo. Yo ayudo a mi padre a hacediligencias hoy. Mi padre me dice en su lista de diligencias: > A las siete de la noche, la tienda de mi padre seMi primo Humberto vive en los Estados Unidos. Su mam es estilista los sbados. Los fines de semana, mi primo maneja y devuelve los libros a la biblictambin recoge la ropa en la lavandera. Despus de hacer las diligencias a las tres de la tarde, compra carne en el supermercado y cena una hamburgmadreBased on the text, what's a similarity between Rubn and Humberto?A-The length of all the errands they assist withB-The specific family situation they experienceC-The type of traditional food they eat with the familyD-The transportation they use to do errands In which region of North America did the Great Awakening begin?A. the SouthB. the MidwestC. New EnglandD. the Pacific Northwest A rectangular deck is 12 ft by 14 ft. When the length and width are increased by the same amount, the area becomes 288 sq. Ft. How much were the dimensions increased? which best describes a mixture.A it has a single composition and it has a set of characteristics B it can have different compositions but it has a set of charactaristics that does not changeC it has a single composition but it has a set of characteristics that does changeD it can have different compositions and it has a set of characteristics that does change differentiate (2x+1) (x-1) Factor::x^2+8x-20thank youuu How do you see the ancient Vedic period may have influenced the Bhakhi movement? Wuthering Heights: Do you agree or disagree with these statements? Explain why!1. Heathcliff was truly wicked with no good qualities.2. Although Heathcliff is often violent, we still feel sympathy for him.3. Catherine married Edgar for all the right reasons.4. Hindley was just a bad person as Heathcliff.5. Ellen Dean was the nicest person in the story. Which explains why the reflex reaction is important in certain situations?O A. Motor neurons cannot form action potentials.O B. The brain has no control over motor neurons.O C. Interneurons are too slow at sending signals through the spinalcord.O D. Sensory neurons do not use neurotransmitters to send signals. PLEASE HELP! ITS DUE TODAAY! 10. Which of the following groups of organisms are prokaryotic? (Choose all that apply)Archaea Or Plants Or bacteria Or fungi I really need help with this question someone plz help ! A day trader buys an option on a stock that will return $150 profit if the stock goes up today and lose $650 if it goes down. Complete parts a and b below given that the trader thinks there is a 70 % chance that the stock will go up. a) What is her expected value of the option's profit?b) What do you think of this option? The region labeled with the number 1 on the map above is? A. Eastern Siberian highlights B. Central Siberian plateau C. Western Siberian plain D. Ural mountain But when a long train of abuses and usurpations, pursuinginvariably the same Object evinces a design to reducethem under absolute Despotism, it is their right, it is theirduty, to throw off such Government, and to provide newGuards for their future security. - Such has been thepatient sufferance of these Colonies; and such is now thenecessity which constrains them to alter their formerSystems of Government.Why was the above passage included in the declaration of Independence?A. To identify the improvements made on the Articles ofConfederationB. To elaborate on the colonists' preference for democracyC. To explain that forming an independent nation was a last resortfor the colonistsD. To argue that other British subjects should also declare.themselves independent Which of the following quotes from Heart of Darkness contains sarcasm?A. Marlow says that an uncivilized place "has a fascination...of the abomination."B. Marlow calls an African soldier who works for the colonialists "one of the reclaimed."C. Marlow says, "There was a touch of insanity" in the sight of a warship firing at a continent.D. Marlow calls colonialism " a flabby, pretending, weak-eyed devil of rapacious pitiless folly." A cord is wrapped around the outer surface of the 8-kg disk. If a force of F = (14u2) N, where u is in radians, is applied to the cord, determine the disks angular acceleration when it has turned 5 revol 2x - 15x+9For what value of x would the expression be undefined