18 lollipop at the same number of lollipops on the nine tables how many levels did she pop on each table​

Answer: The simplest form of 35/40 is 7/8.

Answer:

\(\frac{7}{8}\)

Step-by-step explanation:

GCD of 35 and 40 is 5.

Divide both by 5 and you will get  \(\frac{7}{8}\)

The common difference based on the sequence given is 15.

It should be noted that the sequence given Isa arithmetic sequence.

The common difference will be the second term minus the first term. This will be:

= 101 - 86

= 15

In conclusion, the difference is 15.

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The new demand function given that D = 17,000 when x is $3 per unit is: D(x) = 1400 (√25-x²) + 12,800

The Demand Function A demand function is defined as p=f(x), p = f (x), where p is the unit price and x is the number of units of the commodity in question, and is often described as a decreasing function of x; that is, p=f(x), p = f (x) drops as x grows.

Given that D'(x)=-1400x/(√25-x²)

Integrate both sides
D(x) = 1400 √(25-x²) + C

If D(4) = 17,000

17,000 = 1400 * 3 + C

C = 12,800

Hence

D(x) = 1400 (√25-x²) + 12,800

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Answer:

It’s 2.07 pounds/in 3

Step-by-step explanation:

1 kilogram = 2.2 × pounds, so,2.07 × 1 kilogram = 2.07 × 2.2 pounds (rounded), or2.07 kilograms = 4.554 pounds.Step 2: Convert the decimal part in pounds to ouncesAn answer like "4.554 pounds" might not mean much to you because you may want to express the decimal part, which is in pounds, in ounces which is a smaller unit.So, take everything after the decimal point (0.55), then multiply that by 16 to turn it into ounces. This works because one pound equals 16 ounces. Thus,4.55 pounds = 4 + 0.55 pounds = 4 pounds + 0.55 × 16 ounces = 4 pounds + 8.8 ounces. So, 4.55 pounds = 4 pounds and 8 ounces (when rounded). Obviously, this is equivalent to 2.07 kilograms. Step 3: Convert from decimal ounces to a usable fraction of ounceThe previous step gave you the answer in decimal ounces (8.8), but how to express it as a fraction? See below a procedure, which can also be made using a calculator, to convert the decimal ounces to the nearest usable fraction: a) Subtract 8, the number of whole ounces, from 8.8:8.8 - 8 = 0.8. This is the fractional part of the value in ounces.b) Multiply 0.8 times 16 (it could be 2, 4, 8, 16, 32, 64, ... depending on the exactness you want) to get the number of 16th's ounces:0.8 × 16 = 12.8.c) Take the integer part int(12.8) = 13. This is the number of 16th's of a pound and also the numerator of the fraction.Finalmente, 2.07 quilogramas = 4 pounds 8 3/4 ounces.A fração 12/16 não está simplificada, e ainda pode ser reduzida para 3/4 para que possamos expressar como a fração mais simples possível.In short:2.07 kg = 4 pounds 8 3/4 ounces

The probability that a randomly selected point within the square falls in the red shaded square is 1/16

A probability is a number that reflects the chance or likelihood that a particular event will occur. The certainty of an event to occur is 1 and it is 100% in percentage.

Probability = sample space /total outcome

sample space is the area of the red shaded square and the total outcome is the big square.

Area of red shaded square = 1 × 1 = 1unit²

area of the big square = 4 × 4 = 16 units²

Therefore the probability that a point selected falls on the red shaded square

= 1/16

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Answer:

64.2857

Step-by-step explanation:

take the distance traveled divided by the distance which will give you the speed traveling multiplying the distance and the speed will give you the time ot takes

The range of the data is 30, and the interquartile range (IQR) is 15.

To create a box plot using the given data, we first need to determine the five-number summary, which includes the minimum value, the first quartile (Q1), the median (Q2), the third quartile (Q3), and the maximum value.

From the given data, we can determine the five-number summary as follows:

Minimum: 60

Q1: 70

Median (Q2): 80

Q3: 85

Maximum: 90

Now, let's create a box plot using this information:

```

  |         |         |         |         |

60 |––––––––|––––––––|         |

  |         |         |         |         |

70 |––––––––|––––––––|––––––––|––––––––|

  |         |         |         |         |

80 |––––––––|––––––––|––––––––|––––––––|

  |         |         |         |         |

90 |––––––––|––––––––|         |

  |         |         |         |         |

  ------------------------------------

    60       70        80        90

```

In the box plot, the line within the box represents the median (Q2), the box represents the interquartile range (IQR) from Q1 to Q3, and the lines extending from the box (whiskers) represent the minimum and maximum values. Any data points falling outside the whiskers would be considered outliers.

The range can be calculated as the difference between the maximum and minimum values:

Range = Maximum - Minimum = 90 - 60 = 30

The interquartile range (IQR) is the difference between the third quartile (Q3) and the first quartile (Q1):

IQR = Q3 - Q1 = 85 - 70 = 15

Therefore, the range of the data is 30, and the interquartile range (IQR) is 15.

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9514 1404 393

Answer:

  $3400

Step-by-step explanation:

The way these tax tables are structured, you pay 3% on the first $10,000, 5% on the next $40,000, and 5.5% on the remaining $20,000 above $50,000.

tax = 0.03·10,000 +0.05·(50,000 -10,000) +0.055·(70,000 -50000)

  = 300 + 2000 +1100

  = 3400 . . . dollars

The tax owed on $70,000 is $3,400.

_____

Additional comment

I like to rewrite this sort of table to a different format:

For an income of $70,000, the tax computation using this form is one multiplication and one addition, rather than 3 multiplications and 4 additions as used when navigating the given table.

Answer:

Your answer is 6.4 kilograms :D

Step-by-step explanation:

Answer:

6.4 kilograms

Step-by-step explanation:

weight converter

Answer:

Step-by-step explanation:

Answer:A

Step-by-step explanation:took it

Answer:

A

Step-by-step explanation:

whole circle pointing right

The point (1,6) belongs to the solution region of the system of inequalities.

The system of inequalities is given as:

y>1.5^x + 4

y< 2/3x + 6

Next, we plot both inequalities on a graph (see attachment)

From the attached graph, the point (1,6) is on the solution region of the inequalities

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Answer:

A, B, D, E

Step-by-step explanation:

148^0 = 1 (Zero property of exponents)

9^(-2) = 1/9^2 = 1/81

-5^2 = -5*5 = -25

-10^(-2) = -1/10^2 = -1/100

Answer:

  8/(u^2y^3) -19/3

Step-by-step explanation:

The relevant rules of exponents are ...

  (a^b)/(a^c) = 1/a^(c-b)

  a^0 = 1

__

Your expression can be simplified like this:

  \(\dfrac{-24uy^2+19u^3y^5}{-3u^3y^5}=\dfrac{24uy^2}{3u^3y^5}-\dfrac{19u^3y^5}{3u^3y^5}=\boxed{\dfrac{8}{u^2y^3}-\dfrac{19}{3}}\)

Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

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

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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Answer:

70

Step-by-step explanation:

The 7 is in the 10s place so its value would be 70

The 7 is in the tens place, so it represents 70

1379 = 1000 + 300 + 70 + 9

1379 = 1*1000 + 3*100 + 7*10 + 9*1

1379 = 1*10^3 + 3*10^2 + 7*10^1 + 9*10^0

Door:80( actual height) 44( height on set)

Table 28( actual height) 15.4 ( height on set)

Stool 18 ( actual height) 9.9 ( height on set)

Step-by-step explanation:

Times the actual height inches by 0.55 and you get your height on set.

Certainly! The problem can be solved using the Pythagorean theorem,

which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In this case, the ladder acts as the hypotenuse, and we need to find the length of the vertical side (height) it reaches up the wall.

The ladder forms the hypotenuse, and its length is given as 12 meters. The distance from the foot of the ladder to the base of the wall represents one side of the triangle, which is 4.5 meters.

By substituting the given values into the Pythagorean theorem equation: (12m)^2 = h^2 + (4.5m)^2, we can solve for the unknown height 'h'.

Squaring 12m gives us 144m^2, and squaring 4.5m yields 20.25m^2. By subtracting 20.25m^2 from both sides of the equation, we isolate 'h^2'.

We then take the square root of both sides to find 'h'. The square root of 123.75m^2 is approximately 11.12m.

Therefore, the ladder reaches a height of approximately 11.12 meters up the wall.

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We can subtract the function that represents the cost in 2000 from the function that represents the cost in 1990.

Doing this gives us \((-20t^{2}+1000)-(-10t^{2}+1500)=\boxed{-10t^{2}-500}\)

Answer:

Minimum=60

First Quartile(Q1)=79

Median=86

Third Quartile (Q3)=89

Interquartile range (IQR)=10

Answer:

10/3

Step-by-step explanation:

X is the what in this equation.

6x = 20

x = 20/6

x = 10/3

Six times 10/3 is equals to 20.

The mathematical operation of multiplication is arithmetic. Additionally, it involves repeating the same forms of statements.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Let x be the required number.

Then to find what times 6 equals 20:

We have expression,

6x = 20

Simplifying,

x = 20 /6

x = 10/3

The number is 10/3.

Therefore, the required number is 10/3.

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Answer:

(b )

Step-by-step explanation:

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Answer:

 6.47

Since it's just asking for the other side of the diameter, it's equivalent to the radius given already.

Answer:

6.47

Since it's just asking for the other side of the diameter, it's equivalent to the radius given already.

Step-by-step explanation:

Answer:

10.5

Step-by-step explanation:

Missing number, 9.8, 9.1

We see that each time it subtracts 0.7

We take

9.8 + 0.7 = 10.5

So, the missing number is 10.5

Answer:

26;40  simplified is 13/20

Step-by-step explanation:

We can be 95% sure that the true mean amount of vitamin C in the CSB from this production run is between 14.91 mg/100 g and 30.09 mg/100 g.

To construct a sure interval for the mean amount of vitamin C in the CSB, we can use the following formula:

CI = X(bar) ± tα/2 * (s/√n)

Where:

X(bar) = sample mean

s = sample standard deviation

n = sample size

tα/2 = t-score with (n-1) degrees of freedom and α/2 level of significance

From the given data, we can calculate:

X(bar) = (26+31+23+22+11+22+14+31)/8 = 22.5

s =

\(\sqrt{(26-22.5)^2 + (31-22.5)^2 + (23-22.5)^2 + (22-22.5)^2 + (11-22.5)^2 }\) + \(\sqrt{(22-22.5)^2 + (14-22.5)^2 + (31-22.5)^2]/(8-1)) }\)

= 7.95

The degrees of freedom for a sample size of 8 is (8-1) = 7. Using a t-distribution table with 7 degrees of freedom and a 95% confidence level, we find the t-sc0re to be 2.365.

Plugging in the values, we get:

CI = 22.5 ± 2.365 * (7.95/√8) = (14.91, 30.09)

Therefore, we can be 95% confident that the true mean amount of vitamin C in the CSB from this production run is between 14.91 mg/100 g and 30.09 mg/100 g.

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The given triangle is DEF where angle E is a right angle.

The value of DE is 2.1 and EF is 5.3.

As the triangle is a right angle triangle, hence applying the pythagoras theorem,

Thus, the value of the side DF is 5.70 units.

The value of angle D and F can be determined as,