A 15-inch candle is lit and steadily burns until it is burned out. Let b represent the burned length of the candle (in inches) and let r represent the remaining length of the candle (in inches).
a. Write a formula that expresses r in terms of b.When 3.1 inches have burned from the candle, the remaining length of the candle is inches.
b. Graph the relationship between a and b

Answer:

D

Step-by-step explanation:

2² + 6² = x²

4 + 36 = x²

40 = x²

x = 2√10

The number of race times recorded as portrayed by the number of data points is seven(7).

From the task content;

Additionally, it follows from the task content that the times recorded were; 6.8,7.3,7.1 ,7.0,7.2,7.3 and 7.0.

On this note, the number of race times recorded as portrayed by the number of data points is seven(7).

Read more on data points;

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:

Answer:

the answer is the arrow going to the right because its not a negative number and a closed circle

Step-by-step explanation:

so that means that 2x is at LEASt more than -4 opposed to this sign> wich just means greater than

because when you work with variables you usually cannot find the exact amount especially when you are rounding so you know that its biigger than no less than or at least -4

the answer is the arrow going to the right because its not a negative number and a closed circle

please please mark as brainliest

Step-by-step explanation:

I hope it's correct... Hope this is what you want

Answer:

it is b

Step-by-step explanation:

the answer is b because

Answer:

x = 0.375

Step-by-step explanation:

Step 1: Simplify both sides of the equation

8x − 3 + 14 = 24x + 5

(8x) + (−3 + 14) = 24x + 5

8x + 11 = 24x + 5

- 24

-16x + 11 = 5

-11

-16x = -6

-16x/-16 = -6/-16

x = 3/8

x = 0.375

Answer:

(A)three eigenvalues, all of them real.

(D)one real eigenvalue and two complex eigenvalues.

(G)only one eigenvalue -- a real one.

Step-by-step explanation:

Given an [tex]n \times n[/tex] matrix, the characteristic polynomial of the matrix is the degree n  polynomial in one variable λ:

[tex]p(\lambda) = det(\lambda I- A)[/tex]

If such [tex]n \times n[/tex] matrix A has real entries, its complex eigenvalues  will always occur in complex conjugate pairs.

Therefore, for a [tex]3 \times 3[/tex] matrix with real entries, the following are possible:

(A)three eigenvalues, all of them real.

(D)one real eigenvalue and two complex eigenvalues.

(G)only one eigenvalue -- a real one.

A [tex]3 \times 3[/tex] matrix with real entries cannot have the following:

(B)three eigenvalues, all of them complex.

(C)two real eigenvalues and one complex eigenvalue.

(E)only two eigenvalues, both of them real.

(F)only two eigenvalues, both of them complex.

(H)only one eigenvalue -- a complex one.

Answer: decimal

Step-by-step explanation:

because i did this quiz

Answer:

0-19: Make it 4 units tall

20-39: Make it 2 units tall

40-59: Make it 5 units tall

60-79: Make it 3 units tall

80-99: Make it 1 unit tall

Step-by-step explanation:

0-19: 4, 6, 19, 19 (4 numbers)

20-39: 29, 38 (2 numbers)

40-59: 40, 41, 41, 57, 58 (5 numbers)

60-79: 62, 66, 73 (3 numbers)

80-99: 87 (1 number)

Answer:

[tex] P(t) = A (1+r)^t [/tex]

Where P represent the population after t days. a the initial amount on this case 6 and r the growth factor rate of 0.7781. so then our model would be given by:

[tex] P(t)= 6(1.7781)^t [/tex]

And replacing t=4 we got:

[tex] P(4) = 6(1.7781)^4 =59.975 \approx 60[/tex]

So then after 4 days we would expect about 60 protzoa

Step-by-step explanation:

For this case we can use the following function to model the population of protzoa:

[tex] P(t) = A (1+r)^t [/tex]

Where P represent the population after t days. a the initial amount on this case 6 and r the growth factor rate of 0.7781. so then our model would be given by:

[tex] P(t)= 6(1.7781)^t [/tex]

And replacing t=4 we got:

[tex] P(4) = 6(1.7781)^4 =59.975 \approx 60[/tex]

So then after 4 days we would expect about 60 protzoa

Answer:

B. F(x) = 3(x - 2)² - 2

Step-by-step explanation:

→The function F(x) narrowed, meaning the absolute value being multiplied to the function is greater than 1.

→The function F(x) flipped over the x-axis, this means that the number being multiplied has to be a negative.

→The function F(x) shifted to the left 2 units, this means there needs to be a 2 being added.

→The function F(x) shifted downwards 2 units, meaning there needs to be a 2 being subtracted from the whole function.

This gives us the correct answer of "B. F(x) = 3(x - 2)² - 2."

Answer:

There were 300 students

Step-by-step explanation:

Original * 30 = increase

Add the increase to get the new number

original + increase = 308

original + original*30% = 390

Factor out original number

original ( 1+30%) = 390

Change to decimal form

original ( 1+.30) = 390

original ( 1.30) = 390

Divide by 1.3

original = 390/1.3

             =300

Answer:

28

Step-by-step explanation:

Because the lines are parallel:

[tex]\dfrac{m}{21}=\dfrac{8}{6} \\\\m=\dfrac{8}{6}\cdot 21=28[/tex]

Hope this helps!

Answer:

x^2 + y^2 = 25

Step-by-step explanation:

x = 5 cos t

            cos t = x/5

y = 5 sin t

           sin t = y/5

cos^2 t + sin^2 t = 1

(x/5)^2 + (y/5)^2  = 1

x^2/25 + y^2/25 = 1

(x^2 + y^2)/25 =1

x^2 + y^2 = 25

Answer:

D . P(x)=-0.5

Step-by-step explanation:

i think please mark my answer as a brainliest answer and follow me.

Answer:

21

Step-by-step explanation:

Similar triangles. MNL is just ABC but 3/4 the size.

x = 8*3/4 = 6

perimeter woudl be 6+6+9 = 21

Answer:

true

Step-by-step explanation:

just took test

Answer:

Answer is m∠4=40

Step-by-step explanation:

take note that m∠6 & m∠7 are vertical angles. Vertical angles are equal to each other, therefore m∠6 is equal to m∠7.

m∠6 = m∠7 (vertical angles)

11x + 8 = 12x – 4

12x - 11x = 8 + 4

x = 12

so

m∠6 = 11x + 8  

m∠6 = 11(12) + 8

m∠6 = 132 + 8

m∠6 = 140

m∠4 = 180 - m<6

m∠4 = 180 - 140

m∠4 = 40

Answer:

A

Step-by-step explanation: Took test

Answer:

77

Step-by-step explanation:

80*0.2 + 84*0.3 + 74*0.4 + 60*0.1 = 76.8 = 77

Answer:

(a) Roughly 68% of vehicle speeds were between 27 and 57 mph.

(b) Roughly 16% of vehicle speeds exceeded 57 mph.

Step-by-step explanation:

We are given that in a study investigating the effect of car speed on accident severity, 5000 reports of fatal automobile accidents were examined.

For these 5000 accidents, the average speed was 42 mph and the standard deviation was 15 mph.

Let X = vehicle speed at impact

SO, X ~ Normal([tex](\mu=42,\sigma^{2} = 15^{2}[/tex])

Here, [tex]\mu[/tex] = population average speed = 42 mph

         [tex]\sigma[/tex] = standard deviation = 15 mph

Since, the distribution is approximately normal; so the 68-95-99.7 empirical rule states that;

(a) Since, it is stated above that 68% of the data values lies within one standard deviation points, that means;

68% data values will lie between [ [tex]\mu-\sigma , \mu+\sigma[/tex] ] , i.e;

        [ [tex]\mu-\sigma , \mu+\sigma[/tex] ]  =  [42 + 15 , 42 - 15]

                                 =  [57 , 27]

So, it means that roughly 68% of vehicle speeds were between 27 and 57 mph.

(b) We have observed above that roughly 68% of vehicle speeds were between 27 and 57 mph which leads us to the conclusion that (100% - 68% = 32%) of the data values will be outside this range.

It is stated that of this 32%, half of the data values will be less than 27 mph and half of the data values will be more than 57 mph.

This means that roughly 16% of vehicle speeds exceeded 57 mph.

Answer:

[tex]P(X>72)=P(\frac{X-\mu}{\sigma}>\frac{72-\mu}{\sigma})=P(Z>\frac{72-70}{4})=P(z>0.5)[/tex]

And we can find this probability using the complement rule and the normal standard table:

[tex]P(z>0.5)=1-P(z<0.5)= 1- 0.69146= 0.3085[/tex]

And the best solution would be:

c. 0.3085

Step-by-step explanation:

For this case we can convert all the values to inches in order to standardize the solution:

[tex] 5ft * \frac{12 in}{1ft}= 60 in[/tex]

[tex] 6ft * \frac{12 in}{1ft}= 72 in[/tex]

Let X the random variable that represent the heights of US mens, and for this case we know the distribution for X is given by:

[tex]X \sim N(70,4)[/tex]  

Where [tex]\mu=70[/tex] and [tex]\sigma=4[/tex]

We are interested on this probability

[tex]P(X>72)[/tex]

We can use the z score formula given by:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

Using this formula we got:

[tex]P(X>72)=P(\frac{X-\mu}{\sigma}>\frac{72-\mu}{\sigma})=P(Z>\frac{72-70}{4})=P(z>0.5)[/tex]

And we can find this probability using the complement rule and the normal standard table:

[tex]P(z>0.5)=1-P(z<0.5)= 1- 0.69146= 0.3085[/tex]

And the best solution would be:

c. 0.3085

Using the normal distribution, it is found that the probability that a randomly chosen American man is taller than 6 feet (72 inches) is equal to:

c. 0.3085

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

The probability of being taller than 72 inches is 1 subtracted by the p-value of Z when X = 72, thus:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{72 - 70}{4}[/tex]

[tex]Z = 0.5[/tex]

[tex]Z = 0.5[/tex] has a p-value of 0.6915.

1 - 0.6915 = 0.3085

Thus, option c.

A similar problem is given at https://brainly.com/question/24855678

Answer:

10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Square root is finding what number times what gets your goal.

10 x 10 = 100 so 100 squared is 10.

5 x 5 = 25 so 25 squared is 5.

4 x 4 = 16 so 15 squared is 4.

You get it? :)

Have a nice day!

Answer:

0.1800 to 4 places of decimals.

Step-by-step explanation:

Using the Binomial formula

Probability = 10C5* (0.95)^95 * (0.05)^5

= 100! / 95!*5! *  (0.95)^95 * (0.05)^5

= 0.1800178.

Answer:

3

Step-by-step explanation:

Solving the inequality

2x-1>=5

2x>=6

x>=3

The graph should have a shaded circle on 3 and a line pointing to values increasing.

Answer: a) 39.5%

Step-by-step explanation:

For random selections, we assume that all the dogs have the same probability of being selected.

In this case, the probability will be equal to the number of golden retrievers divided the total number of dogs.

We have 58 golden retrievers, and the total number of dogs is:

31 + 58 +20 + 38 = 147

Then the probability is:

P = 58/147 = 0.395

If we multiply it by 100%, we obtain the percentage form:

0.395*100% = 39.5%

So the correct option is a.

Answer:

  1) h = -1/2t^2 +10t

  2) h = -1/2(t -10)^2 +72

  3) domain: [0, 20]; range: [0, 50]

Step-by-step explanation:

1.) I find it easiest to start with the vertex form when the vertex is given. The equation of the presumed parabolic path for Firework 1 is ...

  h = a(t -10)^2 +50

To find the value of "a", we must use another point on the graph. (0, 0) works nicely:

  0 = a(0 -10)^2 +50

  -100a = 50 . . . . . . subtract 100a

  a = -1/2 . . . . . . . . . divide by -100

Then the standard-form equation is ...

  h = (-1/2)(t^2 -20t +100) +50

  h = -1/2t^2 +10t

__

2.) The path of Firework 2 is translated upward by 22 units from that of Firework 1.

  h = -1/2(t -10)^2 +72

__

3.) The horizontal extent of the graph for Firework 1 is ...

  domain: 0 ≤ t ≤ 20

The vertical extent of the graph for Firework 1 is ...

  range: 0 ≤ h ≤ 50

The time taken in draining salt so that only 88 kg of salt remains in tank will be 35.71 sec.

It is given that a tank contains 2000 liters of a solution consisting 112 kg of salt is dissolved in water. Pure water is then pumped at rate of 12 L/sec.

We have to find out that how long it will take to drain out salt such that only 88kg of salt remains in tank.

What will be the amount of water flow ; if a water flows for 4 hours at constant speed of 120 liter /hour ?

The amount of water flow will be 120 liter / hour × 4 hour or 120 × 4 liter or 480 liters.

As per the question ;

In 2000 liters solution there is 112 kg salt.

The pumping speed of water into tank = 12 L/s

The salt pumping per second will be ;

= ( 12L/s × 112kg salt ) / 2000 L

= 0.672 Kg salt/sec

This means that 0.672 kg per second salt comes out .

It should be found that the amount of salt that must be drained so that only 88 kg of salt remain.

So , the amount of salt drained out will be ; (x kg)

⇒ 112kg salt - x kg salt = 88 kg salt

⇒ x kg salt = 112 - 88

⇒ x kg salt = 24 kg

The time taken until only 88 kg of salt remains in the​ tank will be ;

= 24 / 0.672

= 35.71 sec

Thus , the time taken in draining salt so that only 88 kg of salt remains in tank will be 35.71 sec.

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Answer:

A, W, X, Y, M, O, T, U, V, C, D

Step-by-step explanation:

If you put a line through the middle, then the left and the right side will look the same

Answer:

The correct answer to the following question will be Option A.

Step-by-step explanation:

Other given choices are not related to the given circumstances. So that option A seems to be the appropriate choice.