Find the equation of the exponential function represented by the table below:
x y
0 0.01
1 0.03
2 0.09
3 0.27

y=

Answer:

Mixed=7 14/25 improper=189/25

Step-by-step explanation:

Answer:the answer is 1/5

Step-by-step explanation:

Answer:

The scale is 1:18 for the entire room, 1 inch in the diagram for 18 inches IRL

Step-by-step explanation:

12 inches = 1 foot

Convert the feet to inches, then divide both sides of the ratio by the # of inches in the diagram

So for length:

10:(15*12)

10:180

1:18

And for width:

8:12(12)

8:144

1:18

Answer:

18 inches

Step-by-step explanation:

The question asks for scale of inches in the drawing and the actual room, so first convert 15 ft and 12 ft into inches.

1 foot= 12in x 1ft= 12 inches

15 feet= 12in x 15ft = 180 inches

12 feet= 12in x 12ft = 144 inches

The room is 180 inches long and 144 inches wide.

To find the scale, set up a proportion to the drawing to the room.

[tex]\frac{10}{8} =\frac{180}{144}[/tex]

You can see that the scale is 18 inches because to get from 180 to 10, you multiply by 18, and the same thing as 8, you would multiply 8 by 18 to get to 144.

Answer:

1/2

Step-by-step explanation:

The dice has 6 faces therefore the probability that three will show is 3/6 which when divided gives you 1/2

9514 1404 393

Answer:

  8.  50 yards

  9.  9%

Step-by-step explanation:

In each case, we fill in the given values in the formula, then divide both sides of the equation by the coefficient of the variable.

The missing formula is ...

  A = LW . . . . where A is area, L is length, W is width

  6000 yd² = (120 yd)W

  W = (6000 yd²)/(120 yd) = 50 yd . . . the width of the field

__

The missing formula is ...

  I = Prt . . . . where I is the interest on principal P at rate r for t years

  1800 = 5000(r)(4)

  r = 1800/20000 = 0.09 = 9% . . . interest rate on the investment

Answer:

<1 = 50

<2 = 130

Step-by-step explanation:

<1 and 130 are supplementary angles

<1 + 130 = 180

<1 =180-130

<1 = 50

130 and <2 are corresponding angles and corresponding angles are equal when the lines are parallel

<2 = 130

Step-by-step explanation:

Well first we can say measure angle 2 equals 130° because they are S.s.int.ext angles, (same side interior angles and exterior). Or also corresponding

Now with measure angle 1, it is a supplementary angle

Let 1 stand for measure angle 1

[tex]130 + m1 = 180[/tex]

Subtract 130° from both sides

[tex]m1 = 50[/tex]

Answer:

14 m actural sif 124075n

Step-by-step explanation:

Step-by-step explanation:

Distance = (Rate)(Time) So, Time = (Distance)/(Rate)

Time at slower speed = Time at faster speed + 3

36/x = 36/(x+6) + 3

Multiply the equation by the LCD, x(x+6) to obtain:

36(x+6) = 36x + 3x(x+6)

36x + 216 = 36x + 3x2 + 18x

3x2 + 18x - 216 = 0

x2 + 6x - 72 = 0

(x + 12)(x - 6) = 0

x = -12 or x = 6

Since x can't be negative, x = 6 mph

Answer:

68

Step-by-step explanation:

8 boxes. 10 per one box. 8×10=80

80-12= 68

Answer:

  A) 1: exponential; 2: linear

  B) 1: f(x) = 45000·0.9^x; 2: f(x) = -3000x+45000

  C) The difference is significant. 1: $11,348; 2: $6,000

Step-by-step explanation:

The values for Car 1 have a common ratio of 40500/45000 = 0.9. An exponential function is used to describe a sequence where the terms have a common ratio.

The values for Car 2 have a common difference of 42000-45000 = -3000. A linear function is used to describe a sequence where the terms have a common difference.

__

An exponential function can be written as ...

  f(x) = (initial value)·(common ratio)^x

A linear function can be written as ...

  f(x) = (common difference)x + (initial value)

The functions are ...

  Car 1: f(x) = 45000·0.9^x

  Car 2: f(x) = -3000x +45000

___

The formulas for the different car values after 13 years give ...

 Car 1: f(13) = 45000·0.9^13 ≈ 11,348

  Car 2: f(13) = -3000(13) +45000 = 6,000

The value of Car 1 will be almost double the value of Car 2 after 13 years. Yes the difference in value is significant.

The greatest number of pots that can be filled is 3.

In order to determine the greatest number of pots that can be filled, the quantity of soil available would be divided by the capacity of each pot.

Number of pots that can be filled = 1 1/4 ÷ 2/5

= 5/4  ÷ 2/5

= 5/4 x 5/2 = 25/8 = 3 1/8

Thus, the greatest number of pots that can be filled is 3.

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Answer: go for it!

Step-by-step explanation:

Answer: 160

Step-by-step explanation: 5% of x = 8

In other words, x * 0.05 = 8. To find what x is, we need to work backwards.

x * 0.05 = 8

x = 8/0.05

x = 160

Would appreciate a brainly <3

Answer:

Multiply the diameter by pie which 3.14

Step-by-step explanation:

9514 1404 393

Answer:

  $708.87

Step-by-step explanation:

The price with tax included is ...

  660.95 + 0.0725×660.95 = 660.95(1 +0.0725) = 708.87

The total cost of the bicycle with tax is $708.87.

Answer:

$ 708.87

Step-by-step explanation:

Think that, a bicycle has listed price of $ 100,

Listed price              Tax rate            Total cost of the bicycle with sales tax

$ 100                           7.25                       107.25

$ 660.95                                                     x

Let the Total price of the bicycle be x

Now you can create a equation like this,

[tex]\frac{100}{660.95}=\frac{107.25}{x}[/tex]

Use cross multiplication, and find out the total cost of the bicycle with sales tax.

[tex]100x=660.95*107.25[/tex]

[tex]100x=70886.8875[/tex]

[tex]\frac{100x}{100} =\frac{70886.8875}{100} \\[/tex]

[tex]x=708.8688[/tex]

Therefore, the total cost of the bicycle with sales tax is,

≈ $ 708.87

Hope this helps you.

Let me know if you have any other questions :-)

Answer:

it should be 2/12 and 9/11

Step-by-step explanation:

Using z-scores, we have that due to the higher z-score, the water bottling facility increased their efficiency more during that hour.

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 facility with the higher z-score increased their efficiency more during that hour.

For the water bottling facility, we have that [tex]\mu = 33.5, \sigma = 1.92, X = 34.9[/tex], hence:

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

[tex]Z = \frac{34.9 - 33.5}{1.92}[/tex]

[tex]Z = 0.73[/tex]

For the cola bottling facility, we have that [tex]\mu = 26.2, \sigma = 1.42, X = 26.8[/tex], hence:

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

[tex]Z = \frac{26.8 - 26.2}{1.42}[/tex]

[tex]Z = 0.42[/tex]

Due to the higher z-score, the water bottling facility increased their efficiency more during that hour.

A similar problem is given at https://brainly.com/question/24663213

Answer:

Step-by-step explanation:

Use equation and compare results:

(a)

(b)

#a

[tex]\\ \sf\longmapsto H^2=P^2+B^2[/tex]

[tex]\\ \sf\longmapsto (10.15)^2=(8.1)^2+(6.3)^2[/tex]

[tex]\\ \sf\longmapsto 103=65.61+39.69[/tex]

[tex]\\ \sf\longmapsto 103\neq 105.3[/tex]

No

#b

[tex]\\ \sf\longmapsto H^2=P^2+B^2[/tex]

[tex]\\ \sf\longmapsto (15.31)^2=(14.4)^2+(5.2)^2[/tex]

[tex]\\ \sf\longmapsto 234.4=207.3+27.1[/tex]

[tex]\\ \sf\longmapsto 234.4\neq 234.4[/tex]

Yes

Problem 14, Part (a)

The given equation y = 2(x-10)+3 has a slope of m = 2. Anything parallel to this will also have the same slope, but a different y intercept.

Let's find the point slope form of the parallel line through (-4,1)

[tex]y-y_1 = m(x - x_1)\\\\y-1 = 2(x - (-4))\\\\y-1 = 2(x + 4)\\\\[/tex]

Now solve for y to get the slope intercept form.

[tex]y-1 = 2(x + 4)\\\\y = 2(x + 4)+1\\\\y = 2x + 8+1\\\\y = 2x + 9\\\\[/tex]

============================================================

Problem 14, Part (b)

The original slope is m = 2. Apply the negative reciprocal to go from 2/1 to -1/2. The perpendicular slope is -1/2.

Using the same point (-4,1), we find that the point slope form is...

[tex]y-y_1 = m(x - x_1)\\\\y-1 = -\frac{1}{2}(x - (-4))\\\\y-1 = -\frac{1}{2}(x+4)\\\\[/tex]

Now solve for y

[tex]y-1 = -\frac{1}{2}(x+4)\\\\y = -\frac{1}{2}(x+4)+1\\\\y = -\frac{1}{2}x-2+1\\\\y = -\frac{1}{2}x-1\\\\[/tex]

============================================================

Problem 15, Part (a)

Anything parallel to Ax+By = C will be in the form Ax+By = D. The only thing changes is the C becomes D, where [tex]C \ne D[/tex]. If C = D, then we'd be talking about the exact same line rather than two parallel lines.

We're given 5x+2y = 7. The answer is in the form 5x+2y = D. Plug in (x,y) = (0,10) to find the value of D

5x+2y = D

D = 5x+2y

D = 5(0)+2(10)

D = 20

The equation 5x+2y = D updates to 5x+2y = 20

============================================================

Problem 15, Part (b)

If you are given Ax+By = C, then anything perpendicular to this is Bx-Ay = D. Here it's possible that C = D; however, it's likely that they'll be different.

The given equation 5x+2y = 7 is perpendicular to anything of the form 2x-5y = D. We'll plug in the given point to find D.

2x-5y = D

D = 2x-5y

D = 2(0)-5(10)

D = -50

$60

Step-by-step explanation:

The unit rate can be determined by dividing $24 by 8 attendees to get

[tex]\dfrac{\$24}{8\:\text{attendees}} = \$3/\text{attendee}[/tex]

so when 20 people are attending the graduation picnic, his total cost is going to be

[tex]20\:\text{attendees}×\dfrac{\$3}{\text{attendee}} = \$60[/tex]

Answer:

Sohan has read more pages and Sonali was more faster

Answer: The image listed below. It's the only valid answer that best shows the numbers of toys Roldlfo has in his toy box, y, and the number of months that have passed, x.

La probabilidad de que Julio salga con Marisol y Carla al mismo tiempo es 0.40

For two events A and B, we have:

Probability that event A or B occurs = Probability that event A occurs + Probability that event B occurs - Probability that both the event A and B occur simultaneously.

This can be written symbolically as:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

Given that;

The probability that Julio goes out with Carla is 0.75, and

the probability that he goes out with Marisol is 0.50.

The probability that he goes out with Carla or Marisol is 0.85

To find:

The probability that he will date both at the same time.

Let we take:

A = event that Julio goes with Carla

B = event that Julio goes with Marisol, then, the given expression is symbolically represented as:

To find: [tex]P(A \cap B)\\[/tex]

Using the addition rule, we get:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)\\0.85 = 0.75 + 0.50 - P(A \cap B)\\P(A \cap B) = 1.25 - 0.85 = 0.40[/tex]

Thus, the probability that Julio will date Marisol and Carla at the same time is 0.40

Learn more about probability here:

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The probability that Julio will date Marisol and Carla at the same time is 0.40.

Here, we have, For two events A and B, we have:

Probability that event A or B occurs = Probability that event A occurs + Probability that event B occurs - Probability that both the event A and B occur simultaneously.

This can be written symbolically as:

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

Given that;

The probability that Julio goes out with Carla is 0.75, and

the probability that he goes out with Marisol is 0.50.

The probability that he goes out with Carla or Marisol is 0.85

To find:

The probability that he will date both at the same time.

Let we take:

A = event that Julio goes with Carla

B = event that Julio goes with Marisol, then, the given expression is symbolically represented as:

P(A) = 0.75

P(B) = 0.50

P(A∪B)= 0.85

To find: P(A ∩ B)

Using the addition rule, we get:

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

0.85 = 0.75 + 0.50 - P(A ∩ B)

P(A ∩ B) = 0.40

Thus, the probability that Julio will date Marisol and Carla at the same time is 0.40.

Learn more about probability here:

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complete question:

The probability that Julio dates Carla is 0.75, and the probability that he dates Marisol is 0.50. If the probability that he goes out with carla or marisol is 0.85; Calculate the probability that he will date both at the same time.

Mr. Thomas would take 0.5 (half) day for the revenue for each game to be the same.

Revenue is the total amount of money made from selling a particular number of items.

The revenue for math game is:

M(d)=2x² + 8x + 2

While the revenue for Reading Game is:

R(d)=3x+5

For the revenue of each game to be the same, hence:

M(d) = R(d)

2x² + 8x + 2 = 3x + 5

2x² + 5x - 3 = 0

x = -3 or x = 0.5

Since the number of days cannot be negative, hence it would take 0.5 (half) day for the revenue for each game to be the same.

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Answer:

Step-by-step explanation:

hmm

Answer: x=80

Let that be x