Drag and drop three values into the space provided that will make the inequality 18 − 3x < 10 true.

Answer:

[tex]17m^6 + 2mn[/tex]

Step-by-step explanation:

[tex]16m^6 -15mn +m^6 + 17mn[/tex]

Combine like terms, rewrite the equation and perform the operations between the coefficients,

[tex]16m^6 +m^6 -15mn+17mn[/tex]

[tex]17m^6 + 2mn[/tex]

9514 1404 393

Answer:

Step-by-step explanation:

The inverse variation described can be either of ...

  c = k/d

or

  d = k/c

Either way, the equation can also be written as ...

  cd = k

For the given values of c and d, the value of k is ...

  (5)(5/3) = k = 25/3

So, the model can be written as ...

  cd = 25/3

or

  d = (25/3)/c

__

For c=10, the value of d is ...

  d = (25/3)/10 = 25/30

  d = 5/6

Answer:

A

Step-by-step explanation:

The net can be folded to form a pyramid

Complete option:

The sample size is less than 10 percent of the population size. A. II onlyB. III onlyC. II and III onlyD. I, II, and III

Answer:

D.) I, II, and III

Step-by-step explanation:

The sample are not well randomly selected as the samples were only selected from a single source, the environmental club in the school.

Similarly only 20 samples were chosen, these 20 samples are not enough to assume normality as the minimum number of samples required to assume normality according to the Central limit theorem is 30 samples or more.

10% of the population size is :

Population size = 5000

0.10 * 5000 = 500 samples

Hence, sample size used is less than 10% of population size.

Answer:

Area= 4y^2 + 14y + 12

Perimeter = 10y + 16

Step-by-step explanation:

Area of a reactangle = length × width

= (4y+6) × (y+2)

= 4y^2 + 6y + 8y + 12

= 4y^2 + 14y + 12

Perimeter of a rectangle = 2 × (a +b)

= 2 × ( 4y + 6 + y+ 2)

= 2 × ( 5y + 8)

= 10y + 16

Answer:

4.8 in2

Step-by-step explanation:

2.4 x 2 =4.8

tell me if I'm wrong

Answer:

Step-by-step explanation:

Answer:

P = 0.232

Step-by-step explanation:

In the cooler, we have 12 bottles of apple juice and 18 bottles of orange juice.

This adds up to a total of 30 bottles.

Now we want to find the probability of pulling a bottle of apple juice after you pulled one bottle of apple juice.

The probability of pulling a bottle of apple juice at the beginning is equal to the quotient between the number of apple juice bottles in the cooler and the total number of bottles in the cooler,

This means that 12 out of 30 are apple juice, then the probability of getting first a bottle of apple juice is:

p = 12/30

Now, we want to find the probability of getting another, we will do the same calculation than above, but now the number of bottles of apple juice is 11 (because we took one) and the total number of bottles is 29.

In this case, the probability is:

q = 11/29

The joint probability (the probability of both events happening) is equal to the product of the individual probabilities.

Then the probability of pulling apple juice and then pulling another apple juice is:

P = p*q = (12/30)*(11/29) = 0.232

Answer:

45 or positive 45

Step-by-step explanation:

Answer: 45

Step-by-step explanation:

Answer:

In 2010 the time will be 44.8 seconds.

Step-by-step explanation:

Given that the Olympic time for men's 400-m hurdles has been decreasing by about 0.09 seconds per year since 1930, when the record was 52 seconds, to predict what the time will be in 2010 the following calculation must be performed:

52 - ((2010 - 1930) x 0.09) = X

52 - (80 x 0.09) = X

52 - 7.2 = X

44.8 = X

Thus, in 2010 the time will be 44.8 seconds.

Answer:

159 degrees

Step-by-step explanation:

Answer:

159°

Step-by-step explanation:

We can calculate supplementary angles by subtracting the given one angle from 180 degrees. To find the other angle, use the following formula: ∠x = 180° – ∠y or ∠y = 180° – ∠x where ∠x or ∠y is the given angle.

so 180° – ∠ 21= 159°

Answer:

87

Step-by-step explanation:

Step 1: X is the first number

Step 2: X + 1 is the second number

Step 3: X + 2 is the third number

Step 4: X +3 is the fourth number

Step 5: Take the sum of all of those:

4x+6=354

4x=348

x=87

The second number in the sequence is 88.

87,88,89,90 = 354

Answer: Second integer is 87

Step-by-step explanation:

Sum of four consecu. integers = 354

Let the integers be x, x+1, x+2 , x+3.

Sum = 354

x+x+1+x+2+x+3 = 354

4x+6 = 354

4x = 354 - 6

4x = 348

x = 348/4

x = 87

Therefore, first integer = x =87

Second integer = x+1 = 88

Third integer = x+2 = 89

Fourth integer = x+3 = 90

So, second integer is 88 .

Answer:

It’s 0.30

Step-by-step explanation:

I took the test bro

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Answer:

  (3/2π -(9/4)√3) m² ≈ 0.8 m²

Step-by-step explanation:

The area of the segment is the difference between the area of the sector and the area of the triangle.

  sector area = 1/2r²α . . . . where r is the radius and α is the central angle in radians

  triangle area = 1/2r²·sin(α) . . . . same variable definitions

Then the area of the segment is ...

  segment area = sector area - triangle area

  segment area = (1/2)r²(α -sin(α))

The central angle subtended by the segment is 360° -300° = 60° = π/3 radians

Then the segment area is ...

  A = (1/2)(3 m)²(π/3 -√3/2) = (3/2π -(9/4)√3) m² ≈ 0.8 m²

9514 1404 393

Answer:

  120,000 cm

Step-by-step explanation:

There are 100 cm in 1 m, and there are 1000 m in 1 km. So, there are 100,000 cm in 1 km.

1.2 km is 120,000 cm

Answer:

80% of the values will occurs above 68.24.

Step-by-step explain

thinking this is right but im sorry if its wrong

Answer:

1

Step-by-step explanation:

Given that,

[tex]a=3+2\sqrt{2}[/tex]

We need to find the value of [tex]a\times \dfrac{1}{a}[/tex].

So,

[tex]=3+2\sqrt{2} \times \dfrac{1}{3+2\sqrt{2}}\\\\=\dfrac{3+2\sqrt{2}}{3+2\sqrt{2}}[/tex]

As numerator and dinominator is same. It means,

[tex]=\dfrac{3+2\sqrt{2}}{3+2\sqrt{2}}\\\\=1[/tex]

So, the value of the given expression is equal to 1.

the answer 16 im pretty sure

Answer:

[tex]y = 8 - x[/tex]

when x=20 so y=-12

Answer:

The percentage of growth is of 9.05%.

The amount of money in the account after t years is given by [tex]P(t) = 330(1.0905)^t[/tex]

Step-by-step explanation:

Amount of money after t years:

The amount of money in an account after t years is given by:

[tex]P(t) = P(0)(1+r)^t[/tex]

In which P(0) is the initial deposit and r is the growth rate, as a decimal.

Money doubles every 8 years.

This means that [tex]P(8) = 2P(0)[/tex]. So

[tex]P(t) = P(0)(1+r)^t[/tex]

[tex]2P(0) = P(0)(1+r)^8[/tex]

[tex](1+r)^8 = 2[/tex]

[tex]\sqrt[8]{(1+r)^8} = \sqrt[8]{2}[/tex]

[tex]1 + r = 2^{\frac{1}{8}}[/tex]

[tex]1 + r = 1.0905[/tex]

[tex]r = 1.0905 - 1[/tex]

[tex]r = 0.0905[/tex]

The percentage of growth is of 0.0905 = 9.05%.

Person invested $330

This means that [tex]P(0) = 330[/tex]

So

[tex]P(t) = P(0)(1+r)^t[/tex]

[tex]P(t) = 330(1+0.0905)^t[/tex]

[tex]P(t) = 330(1.0905)^t[/tex]

The amount of money in the account after t years is given by [tex]P(t) = 330(1.0905)^t[/tex]

Answer:  the correct answer should be 160 but you said that didnt work so try 480

Step-by-step explanation:  

I just did base times Hight 8*10 which is 80*6=480

hoped this helps:))

Answer:

80

Step-by-step explanation:

V= Bh/3

Area of base= (L × W) ÷2

(8×6)÷2 = 24

Multiply by height

24×10=240

Divide by 3 (since its a pyramid therefore has 3 sides)

240/3=80

80 is your answer

Answer:

19,822

Step-by-step explanation:

Step-by-step explanation:

2x^3 - 10x^2 + 8x -3

hope this helps