Find the next two terms in this
sequence.
1, 2, 6, 24, 120, [?],[]

The equation of the straight line which has a gradient of -2 and passes through (1, 7) is y = -2x + 9.

The slope-intercept form of the equation

y = mx +c

Here

m is the slope

c is the y-intercept

To find the slope of a line, we find the rate at which the value of 'y' is increasing as we increase the value of 'x' by one unit.

Substituting the point (1, 7) and m = -2 to determine the y-intercept

y = mx +c

7 = (-2)1 + c

c = 7 + 2

c = 9

Thus, the equation of a line using the slope-intercept form is

y = mx +c

m= -2

c = 9

y = -2x + 9

Therefore, we conclude that the equation of a line using the slope-intercept form is y = -2x + 9.

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Answer:

[tex]\frac{1}{a} =\frac{1}{b} +\frac{1}{c} \\ \\\frac{1}{a} = \frac{1}{3} + \frac{1}{2/3} \\\\\frac{1}{a} = \frac{1}{3} + \frac{3}{2}\\\\\frac{1}{a} = \frac{11}{6}\\\\a = \frac{6}{11}[/tex]

Answer:

A sclane triangle

Step-by-step explanation:

because none if its side are the same

The Arithmetic Mean and Median of the given set of data ( 2, 5, 13, 15, 19, 21 ) are 12.5 and 14 respectively.

Arithmetic mean is simply the average of a given set numbers. It is determined by dividing the sum of a given set number by their number of appearance.

Mean = Sum total of the number ÷ n

Where n is number of numbers

Median is the middle number in the data set.

Given the sets;

Mean = Sum total of the number ÷ n

Mean = (2 + 5 + 13 + 15 + 19 + 21) ÷ 6

Mean = 75 ÷ 6

Mean = 12.5

Median is the middle number in the data set.

Median = ( 13 + 15 ) ÷ 2

Median = 14

Therefore, the Arithmetic Mean and Median of the given set of data ( 2, 5, 13, 15, 19, 21 ) are 12.5 and 14 respectively.

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Step-by-step explanation:

|-x+2|≤-7

-x+2≤-7 or -(-x+2)≤-7

-x≤-9 x-2≥-7

x≥9 x≥-7+2

x≥-5

....

To get a probability of 3/5, 16 red marbles must be added.

There are 8 red, 9 yellow, and 7 green marbles, for a total of:

8 + 9 + 7 = 24.

The probability of getting a particular color of marble is given by the quotient between the number of marbles of that color and the total number of marbles.

Here, we want to get a probability of drawing a red marble equal to 3/5.

So, if we add x red marbles, the probability of getting a red marble will be:

P = (8 + x)/(24 + x)

And that must be equal ot 1/5, then we write:

(3/5) = (8 + x)/(24 + x)

If we multiply both sides bt (24 + x), we will get:

3*(24 + x)/5 = 8 + x

Now we can solve that for x.

3*24/5 - 8 = x - x(3/5) = (2/5)*x

x = (3*24/5)*(5/2) - (5/2)*8 = 16

So 16 red marbles must be added, the correct option is b.

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The cost of producing one ball will be $ 0.09261. Then the profit will be if each ball is $ 0.41.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

A toy company produces rubber balls that have a radius of 1. 7 cm.

A sphere has a radius of 1. 7 centimeters.

Then the volume of the ball will be

Volume = 4/3 x π x r³

Volume = 4/3 x π x 1.7³

Volume = 20.58 cubic cm

If the price of the rubber needed to produce a ball is $0.0045/cm³.

Then the cost of producing one ball will be

→ 20.58 x 0.0045

→ $ 0.09261

If the company sells a ball for $0.50. Then the profit will be

Profit = 0.50 - 0.09261

Profit = $ 0.41

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Applying the definition of complementary angles, the value of x in the figure given is: 12

Complementary angles are angles that give 90 degrees when added up.

(3x + 6) + 48 = 90 [definition of complementary angles]

Solve for x

3x + 54 = 90

3x = 90 - 54

3x = 36

x = 36/3

x = 12

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Answer:

120+5x+15+5x+15=180

10x=180-120-15-15

x=30°

Answer: 9^o

Step-by-step explanation:

(all angles in an isoceles triangle adds up to 180 degrees)
5 x + 15 + 120 = 180
5x  = 180 - 120 - 15
5 x = 45

   x = 9^o

Answer:

D. is the correct answer tnx

Answer:

hexagon

Step-by-step explanation:

cross section of the cuboid

Answer:

1,440

Step-by-step explanation:

Answer:

that would be B

Step-by-step explanation:

Answer:

C.20

Step-by-step explanation:

12+10+8+10+20=60

60/5=12

(5 is the number of numbers, 12,10,8,10,20)

Answer:

no the sign should say 12 percent of people voted darnells

Step-by-step explanation:

because if the population is 10 thousand and you take 25 percent that will put the total amount of people who can vote at 7500 and then take 20 percwnt of that and it will put you at 1500 people who can vote and then if you take 80 percent of 1500 people who can vote than only 1200 of them voted for Darnell which would make it only 12 percent of people voted for darnells

Answer:

I believe the answers are B and C

Step-by-step explanation:

Answer:

i believe b and c

Step-by-step explanation:

Answer:

2,300

Step-by-step explanation:

Plato

The best prediction for the number of cells in the colony at 16 hours will be 2300. Then the correct option is B.

Let a be the initial value and x be the power of the exponent function and b be the increasing factor.

The exponent is given as

y = a(b)ˣ

The table is given below.

Time (hours)                Cell population

      0                                 125

      2                                 162

      4                                 258

      6                                 374

      8                                 518

     10                                 763

Then the equations are given as,

125 = a            ...1

763 = ab¹⁰           ...2

From equations 1 and 2, then we have

b¹⁰ = 763/125

b² = 6.104

b = 1.2

Then the equation is given as,

y = 125(1.2)ˣ

Then the best prediction for the number of cells in the colony at 16 hours will be

y = 125(1.2)¹⁶

y = 2311.05

y ≈ 2300

The best prediction for the number of cells in the colony at 16 hours will be 2300. Then the correct option is B.

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Using the mode concept, according to the stem-and-leaf plot, the missing value is of 71.

It is the value that appears the most times in the data-set.

In this problem, following the key format of the stem-and-leaf plot, disconsidering the missing value, the values 71 and 64 each appear 3 times.

However, the mode is 71, meaning that is should appear more times than 64, which means that the missing value is of 71.

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Answer:

The missing value is 71

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

First, let's find the area of the box on top. 5*2 is 10. We can see that there is another identical box, so we can multiply the area of one box (10) by 2 to get 20. Now we need to find the middle box. 3*2 is 6. All we have to do now is add all the boxes' areas together. This would be 20+6 (10+10+6), which gives us our answer, 26.

Hope this helps!

Answer:

10 because 9.50 is closest to 10 and 5 or higher, you round up.

Answer: I hope this helps!:)

Step-by-step explanation:

Answer:

y = 2sin(x - π/4)

Step-by-step explanation:

The graph depicts a sin graph which is shifted to the right by π/4 so the x value will have be bigger so to counteract this change, the equation would be sin(x - π/4) and since the amplitude is 2, the overall equation would be 2sin(x- π/4).

The given vector Field f(x,y)= [tex]3x^{2} - 5y^{2}[/tex] is not Conservative.

A conservative vector field is a vector field that is the gradient of some function.

The integral is independent of the path that C takes going from its starting point to its ending point.

We know that , the function F conservative if

[tex]\frac{ dP}{dy}[/tex] = [tex]\frac{dQ}{dx}[/tex]

If we prove opposite of this then the function F is not conservative

We have given function , f(x,y)= [tex]3x^{2} - 5y^{2}[/tex]

let P(x,y) = [tex]3x^{2} - 5y^{2}[/tex]  and Q (x,y) =0

Now, [tex]\frac{dP}{dy}[/tex] = -10y

and, [tex]\frac{dQ}{dx}[/tex] = 0

Since [tex]\frac{dP}{dy}[/tex] ≠ [tex]\frac{dQ}{dx}[/tex]

Hence, the field is not conservative.

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Answer:

Step-by-step explanation:

1 Simplify 19-7 to 12.

12^2−8×3+4×3−5

2 Simplify 12^2 to 144

144−8×3+4×3−5

3 Simplify 8×3 to 24.

144−24+4×3−5

4 Simplify 4×3 to 12.

144−24+12−5

5 Simplify 144-24 to 120.

120+12-5

6 Simplify 120+12 to 132.

132-5

7 Simplify.

127

Answer:

Step-by-step explanation:

AD and EH are parallel lines

Angle CBD = Angle CFH = x (corresponding angles)

x + 2x = 180 (angles on a straight line)

3x = 180

x = 60

Angle GFH = 120

Angle CBD = 60

Check the picture below.

so, we know the perimeter of the base is 17, thus

[tex]s + s + s + s = 17\implies 4s=17\implies s=\cfrac{17}{4} ~\hfill \stackrel{\textit{area of the base}}{s^2\implies \left( \cfrac{17}{4} \right)^2} \\\\[-0.35em] ~\dotfill\\\\ \textit{volume of a pyramid}\\\\ V=\cfrac{Bh}{3}~~ \begin{cases} h=height\\ B=\textit{base's area}\\[-0.5em] \hrulefill\\ h=15\\ B=\frac{17^2}{4^2} \end{cases}\implies \begin{array}{llll} V=\cfrac{1}{3}(15)\left( \cfrac{17^2}{4^2} \right)\implies V=\cfrac{1445}{16} \\\\\\ V \approx 90.31 \end{array}[/tex]