The first number in a pattern is 10. The pattern follows the rule"multiply by 2 and then add 5," which statement describes all numbers in the pattern?

a. They are multiples of 5
b. The are all multiple of 10
c. They are all even
d. The area all odd

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

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.

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:

R = (3, 14 )

Step-by-step explanation:

given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint M is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] ) ← midpoint formula

calculate the midpoint of PR using this formula and equate x and y coordinates to the coordinates of the given midpoint

let coordinates of R be (x, y ) and P = (- 15, 4 ) , then

[tex]\frac{x-15}{2}[/tex] = - 6 ( multiply both sides by 2 )

x - 15 = - 12 ( add 15 to both sides )

x = 3

and

[tex]\frac{y+4}{2}[/tex] = 9 ( multiply both sides by 2 )

y + 4 = 18 ( subtract 4 from both sides )

y = 14

the coordinates R = (3, 14 )

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

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:

93 minutes

Step-by-step explanation

23/68 x/275= 93 min

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: $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:

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.

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:

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..)

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:

conduction its the answer

Answer:

CHECKING

let W = 10

C = W/2

C = 10/2

C = 5

C = 5     W = 10

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

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

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]

The average of the provided numbers is calculated by dividing the total number of values by the sum of all the values that different socioeconomic classes are affected differently by religion membership.

The middle number, which is determined by dividing the sum of all the numbers by the total number of numbers, is the average value in mathematics. When determining the average for a collection of data, we add up all the values and divide this sum by the total number of values. a single number (such as a mean, mode, or median) that encapsulates or depicts the overall importance of a collection of disparate data. unkind sense 1b.: a calculation that approximates the arithmetic mean. an intellectual level that is characteristic of a group, class, or series. superior than average.

[tex]65, 85, 70, 90, 105.[/tex]

Average =

[tex](65+85+70+90+105)/5\\= 415/5\\= 83\\[/tex]

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Answer:

A, B, C.

Step-by-step explanation:

Answer:

I don't know this is confused

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:

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

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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To calculate how much money David will have in this account after 5 years, we first need to find out how much interest the account earns each year. To do this, we need to multiply the interest rate by the amount of money in the account. In this case, the interest earned each year would be $800 * 0.023 = $18.40.

Next, we need to calculate how much interest the account earns over the 5-year period. Since the interest is compounded semiannually, this means that the interest is earned twice per year. Therefore, the total amount of interest earned over 5 years would be $18.40 * 2 * 5 = $184.

Finally, we need to add the interest to the original amount of money in the account to find out how much money David will have after 5 years. In this case, the total amount of money David will have after 5 years is $800 + $184 = $984.

Therefore, if David keeps the money in this account for 5 years, he will have $984.

Answer:

$897

Step-by-step explanation:

We know:

P = 800

n = 2

r = 2.3

t = 5

Write Equation:

[tex]F = 800(1+\frac{\frac{2.3}{100} }{2} )^{2(5)}[/tex]

Evaluate:

896.9

Thus the answer is $897