If the common ratio of a geometric sequence is less
than 0, what do you know about the signs of the
terms of the sequence? Explain.

Answer:

22.2x²

Step-by-step explanation:

3.7x = 3.7 × x

6x = 6 × x

Multiplication of 3.7x and 6x

= 3.7 × 6 × x × x

= 22.2 × x²

= 22.2x²

Answer:

C. 22.2x^2

Step-by-step explanation:

Answer:

40.42 ÷ 4.3 = 9.4

15.48 ÷ 0.72 = 21.5

86.4 ÷ 2.4 = 36

50.31 ÷ 8.6 = 5.85

The value of k is 0.32 .

What is an exponential function?

The exponential function is one of the most important functions in mathematics (though it would have to admit that the linear function ranks even higher in importance). To form an exponential function, we let the independent variable be the exponent.

An exponential function is a function that usually takes the form f(x) = bˣ.

The exponential curve depends on the exponential function and it depends on the value of the x.

where;

b = base

ˣ = power

The general exponential function that models  the data given is:

[tex]y = ce^{kt}[/tex]

According to the (5,5c)

[tex]ce^{5k} = 5c\\\\e^{5k} = 5\\\\5k = ln5\\\\k = \frac{ln5}{5} \\\\k = 0.32[/tex]

Hence , the value of k is 0.32 .

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Answer:

93 minutes

Step-by-step explanation

23/68 x/275= 93 min

The equations that are equivalent are (b) 8k ÷ 4 = 20 ÷ 4, (c) 8k × 3 = 20 × 3 and (d) 8k + 10 = 20 + 10

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

8k = 20.

Divide both sides of the equation by 4

So, we have the following representation

8k ÷ 4 = 20 ÷ 4

Multiply both sides of the equation by 3

So, we have the following representation

8k × 3 = 20 × 3

Add 10 to both sides of the equation

So, we have the following representation

8k + 10 = 20 + 10

Hence, the equivalent equation is 8k + 10 = 20 + 10

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The volume expression for the box is 1.728lwh and it means that the volume increases by 72.8%

The complete question is added at the end of this solution

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

Length = l

Width = w

Height = h

The volume of a box can be calculated using

Volume = lwh

Rewrite the volume equation as

v = lwh

When the dimensions of the box are increased by 20%, we have the following expressions

Length = 1.2l

Width = 1.2w

Height = 1.2h

So, the new volume is

V = 1.2l * 1.2w * 1.2h

Evaluate

V = 1.728lwh

Hence, the expression is 1.728lwh

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A food company sells its corn flakes in boxes of two different sizes: the regular box and the family value box. For the family value box, the length, width, and height of the box have all been increased by 20%.

Determine the expression for the new volume

Answer:

Step-by-step explanation:

simple interest I = Prt

I = $1,000 = 3,400r (4/12)

⇒ 3,400r (4/12) = 1,000

⇒ 3400r = 333.333

⇒ r = 0.098

      ≈ 9.80 %

Answer:

1

Step-by-step explanation:

All factors of 33 : 1, 3, 11, 33

All factors of 49 : 1, 7, 49

So the Greatest Common Factor for 33 and 49 is 1

The interest that Zollicoffer will receive in one year is $52.50.

The formula that is used for calculating the interest will be:

Interest = principal × rate × time

In this case, Mrs. Zollicoffer’s bank pays 5 1/4% interest. She has $1,000 in the bank. The interest that she would receive in one year will be:

Interest = Principal × Rate × Time

Interest = 1000 × 5.25% × 1

Interest = $52.5

The interest is $52.50.

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Answer: 70%

Step-by-step explanation: To find the percent of their goal that Ivory ran, divide the number of laps they ran by their goal and multiply by 100. In this case, Ivory ran 35 / 50 * 100 = 70% of their goal.

a) The phasor form of E-field = xˆ 2cos(wt - kz) - yˆ 4cos(wt - kz) is 2√5 L(-63.43).

Polarization type is linearly polarised.

b) The phasor form of E-field = ?

E(z,t) = xˆ 2cos(wt + kz) - yˆ 4sin(wt + kz) is E(z,t) =2√5 L(-143.43). polarization type is elliptical.

We have given that

E⃗(z,t) =2xˆcos(wt - kz) - 4 yˆcos(wt - kz)

|r⃗ | = √((2cos(wt - kz))² + (- 4cos(wt - kz))²)

= √(4cos²(wt - kz) + 16cos²(wt - kz))

= √(20cos²(wt - kz))

= 2√5 cos(wt - kz)

φ = 4cos(wt - kz)/(2cos(wt - kz))

= tan⁻¹ 1(-2) = -63.43°

So, E(z,t) = 2√5 L(-63.43)

b) E(z,t) = xˆ 2cos(wt + kz) - yˆ 4sin(wt + kz)

= xˆ 2cos(wt + kz) - yˆ 4cos(wt + kz -π/2)

|r| = √((2cos(wt + kz))² + (- 4sin(wt -+kz))²)

= √20

phi = tan⁻¹(- 4cos(wt - kz)/(2cos(wt - kz)) - π/2

= tan⁻¹( -2) + π/2 = - 143.43

so, E(z,t) =2√5 L(-143.43)

E(z,t) = xˆ 2cos(wt - kz) - yˆ 4cos(wt - kz)

if wt = 0°

E(z,t) = xˆ 2cos(0 - kz) - yˆ 4cos(0- kz)

= 2xˆ - 4yˆ

wt = 30° , E(z,t) = xˆ 2cos( - kz) - yˆ 4cos(0- kz)

E(z,t) = √3/2(2) xˆ - √3/2(4) yˆ

= √3xˆ - 2√3yˆ

for wt = 45°

E(z,t) = √2 xˆ - 2√2 yˆ

for wt = 90° =>E(z,t) = 0

for wt = 60° , E(z,t) = xˆ - 2 yˆ as seen in above graph that is linear polarised

For part (b) ,

E(z,t) = 2 xˆcos(wt - kz) - 4yˆ sin(wt + kz)

From graph elliptical polarised,

for wt = 0 , E(0,t) = 2 xˆ

for wt = 90° , E(0,t) = -4yˆ

for wt =180° , E(0,t) = -2 xˆ

for wt = 270° , E(0,t) = -4yˆ

Hence, we get the answer of both parts.

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Answer:

$1916.73

Step-by-step explanation:

[tex]I=Prt=P(0.0401)(13/12) \\ \\ \implies P+P(0.0401)(13/12)=2000 \\ \\ P=\frac{2000}{1+(0.0401)(13/12)} \approx \$1916.73[/tex]

Answer:

7/12

Step-by-step explanation:

I set up the equation, but I first had to find the common denominator which is 12 so I multiplied 3/4 by 3 (top and bottom) and I multiplied 1/6 by 2   (also top and bottom) So I got 9/12-2/12 and when I subtracted I got 7/12

(hope you understood how I got my answer..)

36% of the animals in the shelter are hamsters.

[tex]\frac{27}{75}= 0.36[/tex]

0.36 = 36%.

36% of the animals in the shelter are hamsters.

Answer:

I don't know this is confused

There are a total of 2^10 = 1024 possible outcomes for a coin flipped 10 times. Out of these, there are only 10 outcomes that have exactly 4 tails and start and end with different faces.

To count the number of outcomes with 4 tails, we can use the binomial coefficient formula: n choose k = n!/(k! * (n-k)!), where n is the total number of flips (10 in this case) and k is the number of tails (4 in this case). This gives us 10 choose 4 = 10!/ (4! * 6!) = 210 outcomes with 4 tails.

To count the number of outcomes that start and end with different faces, we can consider the first and last flips separately. The first flip can be either heads or tails and the last flip can also be either heads or tails, for a total of 2 * 2 = 4 possibilities.

Thus, there are a total of 210 * 4 = 840 outcomes that have exactly 4 tails and start and end with different faces. However, there are two outcomes (THTHTHTHTHT and TTHTHTHTHTH) that are counted twice in this total, so we need to subtract these from the total to get the correct number of outcomes. This gives us 840 - 2 = 838 outcomes.

Finally, we need to subtract the two outcomes that start and end with the same face (HHHHHHHHTH and THHHHHHHHH). This gives us a total of 838 - 2 = 836 outcomes.

Therefore, there are a total of 836 outcomes that have exactly 4 tails and start and end with different faces out of a total of 1024 possible outcomes.

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Answer:

  C. 6

Step-by-step explanation:

You want to know the number of 8-inch high boxes that will fit in a space 56 inches high, if an empty space of at least 2 inches must be left.

The number (n) of boxes and the required empty space that can fit in the available space is ...

  8n +2 ≤ 56

  8n ≤ 54

  n ≤ 6 3/4

6 boxes will fit in the remaining space.

Answer:

conduction its the answer

Answer:

Cubic, Binomial

Step-by-step explanation:

A cubic function is when the degree of the polynomial is 3

The degree is the highest power

A binomial has 2 terms

So 8x^3-1 is a binomial and is cubic

Answer:

A, B, C.

Step-by-step explanation:

Because Pisaster is a keystone species, the proportion of living mussels was comparable to the control after Nucella removal.

Sea otters and sea gulls hunt for and eat Pisaster ochraceous. Its function as a keystone species has been well researched. When it was gone from Washington's intertidal regions, the area's species diversity declined.

Sea otters and sea gulls hunt for and eat Pisaster ochraceous. Its function as a keystone species has been well researched. When it was gone from Washington's intertidal regions, the area's species diversity declined.

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Answer:Th numbers between the bars represents:

A) The age classes, in 5-year ranges

The age classes are indicated by the numbers between the bars, while the numbers within the bars show the popularity of each age group in millions.

Typically, a population pyramid like the one below does not display the number of births that occurred in a single year. However, by looking at the year the population pyramid was developed and deducting from it the corresponding ages shown in the pyramid, one can estimate this information.

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complete question:

Look at the age-structure pyramids. The numbers between the bars (in the middle of the graphs) serve as the y-axis. What do these numbers represent?

a) the age classes, in 5-year ranges

b) the number of people born in a particular year

c) the total population(in Million) of males and females

d) the percentage of the population in each age class.

After solving the equations, the value obtained for x and y will be equal to  (-1, 1).

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given equations in the question,

y = 2x + 3     (i)

y = -x            (ii)

Substitute equation (ii) in (i)

-x = 2x + 3

-x - 2x = 3

-3x = 3

x = -3/3

x = -1

Substitute x = -1 in equation (i)

y = 2x + 3

y = 2(-1) + 3

y = -2 + 3

y = 1

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Answer:

Step-by-step explanation:

Here is a Venn diagram illustrating the sets U, Y, and Z:

       Y        

  _____|_____

 |                      |

 |                      |

 |                      |

 |                      |

Z |     U             |

 |                      |

 |                      |

 |                      |

 |_____         _|

       |__    _|

            Z

In this diagram, the set U is represented by the large circle, the set Y is represented by the smaller circle inside U, and the set Z is represented by the smaller circle outside U. The region where the three circles overlap represents the intersection of all three sets. The region inside U but outside Y and Z represents the elements in U that are not in Y or Z. The region inside Y but outside U and Z represents the elements in Y that are not in U or Z. The region inside Z but outside U and Y represents the elements in Z that are not in U or Y. Finally, the region outside all three circles represents the elements that are not in any of the sets U, Y, or Z.

Answer: $13.50

Step-by-step explanation:

It will cost Miguel $13.50 to send 6 small packages and 1 large package. To find the total cost, we can first calculate the cost of sending the small packages by multiplying the cost per small package by the number of small packages: 2.20 * 6 = $<<2.20*6=13.20>>13.20

We can then add the cost of the large package to find the total cost: 13.20 + 3.90 = $<<13.20+3.90=17.10>>17.10.

Therefore, it will cost Miguel $17.10 to send 6 small packages and 1 large package.

Answer:

-1, -10, -26

Step-by-step explanation:

f(x) = -x² - 1

g(x) = x + 5

f(g(x)) =

-(g(x))² - 1 =  ==> plugin g(x) for x in f(x) in order to get f(g(x))

-(x + 5)² - 1 =  ==> plugin x+5 for g(x)

-(x + 5)(x + 5) - 1 =

-(x(x + 5) + 5(x + 5)) - 1 =   ==> distribute (x+5) to x and 5

-((x*x + 5*x) + (5*x + 5*5)) - 1 = ==> simplify

-(x^2 + 5x + 5x + 25) - 1 =

-(x^2 + 10x + 25) - 1 =

-x^2 - 10x - 25 - 1 = ==> distribute the negative sign to x^2, 10x, and 25

-x^2 - 10x - 26 = -1x^2 + (-10x) + (-26)

Subtracting by a positive number is equivalent to adding by a negative number

Answer: -1, -10, -26