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

One base of a trapezoid is 4 in more than twice the length of the second base. The height of the trapezoid is 2 in less than the second base. If the area of the trapezoid is 4 in^2, find the dimensions of the trapezoid.

Answers

Answer:

Step-by-step explanation:

Let us represent

1st base of trapezoid = a

2nd bass of trapezoid = b

Height of trapezoid = c

One base of a trapezoid is 4 in more than twice the length of the second base.

a = 2b

The height of the trapezoid is 2 in less than the second base.

h = b - 2

Area of a trapezoid = 1/2(a + b)h

If the area of the trapezoid is 4 in^2

Substituting

4 = 1/2(2b + b)b - 2

4 = 1/2(3b)b - 2

Cross Multiples

4 × 2 = (3b)b - 2

6 = 3b² - 6b

Hence,

3b² - 6b - 6

find the dimensions of the trapezoid.

Indique cuáles afirmaciones son verdaderas (V) y cuáles falsas (
+5 está a la derecha de +3.
-3 está a la izquierda de +3.
-5 está a la a la derecha de -4.​

Answers

Answer:

+5 esta a la derecha de +3 y -3 esta a la izquierda de +3

Below is the graph of a trigonometric
function. It intersects its midline at
(1.25, -2.75), and it has a minimum point
at (4.75, -6.25).
什 +
-6 -4 -2
I
4
3
2
1
-2
-3 +
GA
-4
Y
-5+
-6
-7-
-8-
co
-9
2
4 6
(1.25, -2.75)
8
(4.75, -6.25)
10 12 14
I
→x
I
What is the amplitude of the function?
I

Answers

The amplitude of the trigonometric function is found as 4.5.

What is a  trigonometric function?

The trigonometric functions are described as those real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

When we refer to the graph, it is found to  intersect the midline at (1.25, -2.75),

We know that the minimum value of the function is 6.25 units below the midline.

Therefore, we can then define  amplitude of the function as the half the distance between the maximum and minimum values.

Amplitude = (maximum - minimum) / 2

Amplitude = (2.75 + 6.25) / 2

Amplitude = 4.5

We then can conclude that the  graph of a trigonometric function. that intersects its midline at (1.25, -2.75), and it has a minimum point at (4.75, -6.25) is 4.5.

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Please help me solve this and please show steps. If you get it right i will give you brainliest.

Please help me solve this and please show steps. If you get it right i will give you brainliest.

Answers

Answer:

I think it is 15 sorry if this is wrong

169 as sum of odd numbers

Answers

Answer:

3 odd numbers can make 169, for an example,

33 + 63 + 73

If my answer helped, then kindly mark me as the brainliest!!

Thank You!!

Answer:

Step-by-step explanation:

Sum of first n odd numbers=n²

13²=169

Therefore sum of 13 odd numbers is 13²

1+3+5+7+9+11+13+15+17+19+21+23+25=169=13²

find the median of the following 80 82 84 86 88 90 92​

Answers

Answer:

86

Step-by-step explanation:

A solid cylinder of height 9 cm has a diameter of 14 cm.
This cylinder has a cylindrical hole of diameter 6 cm at its
centre.
Calculate the volume of the hollowed cylinder.

Answers

V = πr^2h

V1 = π14/2^2•9
V1 = π7^2•9

V1 = π49•9

V1 = 1,385.442360233099


V2 = π6/2^2•9

V2 = π3^2•9

V2 = π9•9

V2 = 254.4690049407733


V = V1 - V2

V = 1,385.442360233099 - 254.4690049407733

V = 1,130.973355292326 or 1,130.97

Thus, the volume of the cylinder is 1,130.97cm^3.

Below. What is m∠1?

m∠1 =

Below. What is m1?m1 =

Answers

Answer:

m∠1 = 70°

Step-by-step explanation:

Step 1

Sum of angles on a straight line = 180°

Hence:

180° - 101°

= 79°

Sum of interior angles in a triangle = 180°

Therefore,

m∠1 = 180° - (79 ° + 31°)

m∠1 = 180° - 110°

m∠1 = 70°

What is the rate of change between (-3.7, 1.4) and (-3.5,1)?

Answers

Answer:

-2

Step-by-step explanation:

the rate of change or slope (M) is -2

Hope this helps:P

A friend who works in a big city owns two cars, one small and one large. Three-quarters of the time he drives the small car to work, and one-quarter of the time he drives the large car. If he takes the small car, he usually has little trouble parking, and so is at work on time with probability 0.9. If he takes the large car, he is at work on time with probability 0.6. Given that he was on time on a particular morning, what is the probability that he drove the small car?A. 0.890.B. 0.768.C. 0.829.D. None of the listed.

Answers

the probability that he drove the small car is 0.890 (option A).

Using Bayes' theorem to solve the problem given, let us represent the following events:

A: Friend drives the small carB: Friend drives the large carC: Friend is on timeGiven that three-quarters of the time he drives the small car and one-quarter of the time he drives the large car, we can calculate the prior probabilities:

P(A) = 3/4 and P(B) = 1/4.

Also, given that he usually has little trouble parking with probability 0.9 when driving the small car and is on time with probability 0.6 when driving the large car, we can calculate the likelihoods:

P(C|A) = 0.9 and P(C|B) = 0.6

Using Bayes' theorem, we can calculate the posterior probability of driving the small car given that he was on time on a particular morning:

P(A|C) = P(C|A) * P(A) / (P(C|A) * P(A) + P(C|B) * P(B))= 0.9 * 3/4 / (0.9 * 3/4 + 0.6 * 1/4) = 0.890

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48 POINTS!!!!! given tan Ф = 4/5, find all other trig functions.


sin =

cos =

tan =

csc =

sec =

cot =

Answers

Step-by-step explanation:

let : y = Opponent side, x= Adjecent side

and r= hypotenuse

tan 0 = 4/5

y/x = 4/5 => y =4, x=5

so, r = √4²+5²=√16+25=√41

sin = y/r = 4/ √41

cos = x/r = 5/√41

tan = y/x = 4/5

csc = r/y = √41 /4

sec = r/x = √41 /5

cot = x/y = 5/4

P/B=4/5P=4B=5B=√5²+4²=√41

So

sinØ=P/H=4/√41cosØ=B/H=5/√41cotØ=5/4secØ=√41/5cscØ=√41/4

(a) An angle measures 28°. What is the measure of its complement?
(b) An angle measures 132°. What is the measure of its supplement?

Answers

Complementary angles has sum of \(90^{o}\) and supplementary angles have sum of \(180^{o}\) , The answer is \(62^{o}\) and \(48^{o}\) .

What do you mean by angle?

When two straight lines or rays intersect at a single endpoint, an angle is created. The vertex of an angle is the location where two points come together.

What is complementary and supplementary angle?

When two angles' measurements add up to 90 degrees, they are said to be complementary. When two angles' measures sum up to 180 degrees, they are said to be supplementary. Keeping in mind that the letter s follows the letter c in the alphabet and that 180 is greater than 90 can help you avoid conflating these definitions.

\(28^{o}\)

complement = \(90^{o}-28^{o}\) = \(62^{o}\)

\(132^{o}\)

supplement= \(180^{o}-132^{o}\) = \(48^{o}\)

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What is the probability of student liking music given they already like

Answers

Answer:

So so so easy its 1 because all of them like music

Two interior angles of a convex pentagon are right angles and the other three interior angles are congruent. in degrees, what is the measure of one of the three congruent interior angles?

Answers

Answer:

\(120^{0}\)

Step-by-step explanation:

Given: pentagon (5 sided polygon), two interior angles = \(90^{0}\) each, other three interior angles are congruent.

Sum of angles in a polygon = (n - 2) × \(180^{0}\)

where n is the number of sides of the polygon.

For a pentagon, n = 5, so that;

Sum of angles in a pentagon = (5 - 2) × \(180^{0}\)

                                                = 3  × \(180^{0}\)

                                                = \(540^{0}\)

Sum of angles in a pentagon is \(540^{0}\).

Since two interior angles are right angle, the measure of one of its three congruent interior angles can be determined by;

\(540^{0}\) - (2 × \(90^{0}\))  = \(540^{0}\) - \(180^{0}\)

                       = \(360^{0}\)

So that;

the measure of the interior angle = \(\frac{360^{0} }{3}\)

                                                        = \(120^{0}\)

The measure of one of its three congruent interior angles is \(120^{0}\).


In the figure above AB = 4x + 6 and BC = 7x + 15. If AC = 120, find the length of segment AB.

In the figure above AB = 4x + 6 and BC = 7x + 15. If AC = 120, find the length of segment AB.

Answers

Answer:

x = 9

Step-by-step explanation:

AB = 4x + 6 and BC = 7x + 15  AC is the sum of AB and BC

so 4x + 6 + 7x + 15 = 120 add like terms

11x + 21 = 120 subtract 21 from both sides

11x = 99 divide both sides by 11

x = 9

Stone runs 1 mile five times a week. How many miles does 4 he run each week? Write the equation you would use to solve. Then, fill in the grid with your answer. Tip: Fill in your answer as a fraction greater than 1.

Answers

The number of miles in 4 weeks is 20 mules

How to determine the number of miles

From the question, we have the following parameters that can be used in our computation:

Stone runs 1 mile five times a week

This means that the rate is

Rate = 1 mile * 5 per week

So, we have

Rate = 5 miles per week

For 4 weeks, we have

Distance = 5 * 4

Evaluate

Distance = 20 miles

Hence, the distance is 20 miles

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What is the distance between-5 and 8?

Answers

Answer:

13

Step-by-step explanation:

-5+5=0

0+8=8

5+8=13

Answer: 13

Step-by-step explanation:

i need help ASAP please and thank you !!!!!!!

i need help ASAP please and thank you !!!!!!!

Answers

Answer: He would make $1,170 a week.

Step-by-step explanation:

He makes $400 a week.

$55 per appliance sold, he sold 14 appliances.

$55 x 14 = $770

$400 + $770 = $1,170

Hope this helps!:)

#14
14. You bought a bicycle at a 12% discount. If
the discount was $19.20, then what was the
original price of the bicycle?

Answers

Answer:

$21.50 would be the original price

Step-by-step explanation:

$19.20+12%= $21.50

$21.50 , I believe so

The degree of x^2 + x - 4 is 3 true or false?

Answers

Given

\(x^2+x-4\)

The degree of a polynomial is the greatest exponent of x. In this case, the greatest exponent of x is 2.

Answer: false

(1/16)^(x+3) = (1/4)^(x+1)

Answers

Answer:

x=-5

Step-by-step explanation:

The answer is x = -5. The explanation and answer is in the image below.

(1/16)^(x+3) = (1/4)^(x+1)

Consider the two functions below. Which one of these functions is linear? What is its equation? Enter any answers to two decimal places

Consider the two functions below. Which one of these functions is linear? What is its equation? Enter

Answers

Answer:

A

Step-by-step explanation:

A linear function is a straight line when graphed so is not B.

For confirmation of A note how for each increase of 3 in x we get the same increase of 5 in y.

Which graph best represents the equation y=2x+5?

Answers

Answer:

B?

Step-by-step explanation:

The graph y = 2x + 5 can be represented by the image attached below.

What is a graph?

The set of ordered pairings (x, y) where f(x) = y makes up the graph of a function.

These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the general case when f(x) are real values.

Given, An equation y = 2x + 5, we can graph this by assuming some arbitrary values of 'x' that correspond to some arbitrary values of 'y'.

When x = 0, y = 5.

x = 1, y = 7 ⇒  (1, 7).

x = 5, y = 15 ⇒ (5, 15).

x = - 5, y = - 5 ⇒ (- 5, - 5).

x = - 2, y = 1 ⇒ (- 2, 1).

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Which graph best represents the equation y=2x+5?

Please help! Will give brainiest! HIGH POINTS
Evaluate each of the following using ...

Please help! Will give brainiest! HIGH POINTSEvaluate each of the following using ...

Answers

Answer:

F(0)= 0, 0

F(3)= -21, 3

F(2)= -12, 2

Step-by-step explanation:

explanation

Write the ratio 3 : 12 in its simplest form

Answers

Answer:

3 : 12

1 : 6

The final result is 1 : 6

3:12
3/12=1:4

This, 1:4 is your answer

Write 1 390 000 in standard form.

Answers

1.39x10^6 is the answer

What is the domain of the function y=3√x-1?
O-00 O-1 O 0≤x<0
0 1

Answers

The domain of the function y=3√x-1 is x≥1/27, because the expression under the radical (x-1) must be non-negative. Therefore, the domain is all values of x greater than or equal to 1/27.

The domain of the function is -∞ < x < ∞.

What is Domain of Function?

The domain of a function is the collection of all conceivable values that can be used as inputs, or alternatively, it is the full range of potential values for independent variables. The domain is indicated by the fact that the fraction's denominator is not equal to zero and by the fact that the digit under the square root bracket is positive. (When a function has fractional values.

We have the function: y = ∛ (x- 1)

Domain denotes all conceivable x values for which the function is defined.

The set of all real numbers constitutes the domain of a cube root function.

Given that the function provided is the cube root function.

As a result, the set of all real numbers for which the given function is defined is its domain.

So, -∞ < x < ∞.

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the one who answers first and right will be marked as brainliest uncecerry answers will be reported​

the one who answers first and right will be marked as brainliest uncecerry answers will be reported

Answers

Lets solve

\(\\ \bull\sf\dashrightarrow x+4=9\)

Take 4 to right

\(\\ \bull\sf\dashrightarrow x=9-4\)

\(\\ \bull\sf\dashrightarrow x=5\)

Step-by-step explanation:

x + 4 = 9

x = 9 - 4

x = 5

is it true?

can someone help me with this

can someone help me with this

Answers

Answer:

1. 40 members

2. 4 cheerleaders

3. 40 marbles

4. 2 marbles

5. 8

6. 24

Step-by-step explanation:

1. cross multiply 12/x=30/100

2. cross multiply 12/x=10/100

3. 18/x=45/100

4. x/40=5/100

5. we know 5% is 2 marbles. multiply by 4 to get 8 marbles.

6. 20%=8 marbles. 60/20= 3. 3 x 8= 24 marbles.

(PLEASE HELP ME)
Which of the following equations is correct?

Please help me thank you so much!!

(PLEASE HELP ME)Which of the following equations is correct?Please help me thank you so much!!

Answers

Answer:

B

Step-by-step explanation:

Distributive property: a*(b + c)= (a*b) + (a*c)

\(\frac{3}{4}*(\frac{1}{2}+\frac{-2}{5})=\frac{3}{4}*\frac{1}{2}+\frac{3}{4}*\frac{-2}{5}\\\\=\frac{3}{8}+\frac{-6}{20}\\\\=\frac{3*5}{8*5}+\frac{-6*2}{20*2}\\\\=\frac{15}{20}+\frac{-12}{40}\\\\=\frac{15-12}{40}\\\\=\frac{3}{40}\)

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