If a = 1 - 3i and b = -3, then find the value of the ab? in fully simplified form.

Answer:

b

Step-by-step explanation:

Given that \(\(T(n)\) = \(10n^2-3n\)\) if (\(\(n=1\)\)), you have to prove it by induction. So, we have proved it by induction that  \($$\(T(n)=10n^2-3n\)$$\)  if ( n= 1). The given statement is true for all positive integers n

Let's do it below: The base case (n=1) is given as follows: \(T(1)\) =\(10\cdot 1^2-3\cdot 1\\&\)=\(7\end{aligned}$$\). This implies that \(\(T(1)\)\) holds true for the base case.

Now, let's assume that \(\(T(k)=10k^2-3k\)\) holds true for some arbitrary \(\(k\geq 1\).\)

Thus, for n=k+1, T(k+1) = \(10(k+1)^2-3(k+1)\\&\) = \(10(k^2+2k+1)-3k-3\\&\)=\(10k^2+20k+7k+7\\&\) = \(10k^2-3k+20k+7k+7\\&\) = \(T(k)+23k+7\\&\) = \((10k^2-3k)+23k+7\\&\) =  \(10(k+1)^2-3(k+1)\).

Therefore, we have proved that the statement holds true for n=k+1 as well. Hence, we have proved it by induction that  \($$\(T(n)=10n^2-3n\)$$\)  if (n=1). Therefore, the given statement is true for all positive integers n.

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The equation of line t in slope intercept form is 5y - 3x = -1

The equation of line s is y=3/5x + 2/5

This is in the slope intercept form

y = mx + c

where m represents the slope of the line

The slope of the line  y=3/5x + 2/5 is 3/5

The slope of two parallel line is same

The slope of line t is 3/5, it passes through the points (2, 1)

The equation of the line is

y - y₁ = m(x - x₁)

y - 1 = 3/5 (x - 2)

5y - 5 = 3x - 6

5y - 3x = -6 + 5

5y = 3x  -1

y = 3/5 x - 1/5

Therefore, the equation of line t in slope intercept form is 5y - 3x = -1

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Answer:

The answer is 15

Step-by-step explanation:

90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say I love you

Step-by-step explanation:

Answer:

Step-by-step explanation:

Move all terms not containing xx from the center section of the inequality.

Inequality Form:

0<x<30<x<3

Interval Notation:

(0,3)

Answer:

y=-4

x=-3

Step-by-step explanation:

x=3y/4

5*(3y/4) +6y+39=0

15y/4+6y+39=0

3.75y+6y+39=0

9.75y=-39

y=-4

x=-3

To convert 4.42 kg into pounds, the starting place in the conversion process is to understand the conversion factor between kilograms and pounds.

The conversion factor between kilograms (kg) and pounds (lbs) is 1 kg = 2.20462 lbs. This means that 1 kilogram is equal to approximately 2.20462 pounds. To convert a given weight in kilograms to pounds, you need to multiply the weight in kilograms by the conversion factor.

In this case, you want to convert 4.42 kg into pounds. The starting place in the conversion process is to use the conversion factor:

4.42 kg * 2.20462 lbs/kg = 9.7314044 lbs

By multiplying the given weight in kilograms (4.42 kg) by the conversion factor (2.20462 lbs/kg), you find that 4.42 kg is approximately equal to 9.7314044 pounds. Therefore, when converting kilograms to pounds, the first step is to apply the appropriate conversion factor by multiplying the weight in kilograms by the conversion factor.

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Answer:

MNI = 135º

Step-by-step explanation:

From the picture, we have the two internal angles as \(6x\) and \(15x-12\). The third, the angle ∠MNL is 180 - 19x-2. Therefore,

\(15x-12+6x+(180-19x-2)=180\)

So,

\(15x-12+6x+180-19x-2=180\)

\(15x-14+6x-19x=0\)

\(2x=14\)

\(x=7\)

Finally,

∠MNI = 19x+2 ⇒ ∠MNI = 19(7)+2 ⇒ ∠MNI = 135º

The value of the variable 'x' is 7. Then the measure of the angle ∠MNI will be 131°.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

The exterior angle of a triangle is almost always equal to the addition of the interior and opposing interior angles. The term "external angle property" refers to this feature.

Then the equation is given as,

∠NLM + ∠LMN = ∠MNI

6x + 15x - 12 = 19x + 2

2x = 14

x = 7

Then the measure of the angle ∠MNI is calculated as,

∠MNI = 19 (7) - 2

∠MNI = 133 - 2

∠MNI = 131°

The value of the variable 'x' is 7. Then the measure of the angle ∠MNI will be 131°.

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Answer:

The coefficient is 12

Step-by-step explanation:

The coefficient is the number next to the variable in the term

12p

The coefficient is 12 and the variable is p

Answer:

12 and (-12)

Step-by-step explanation:

Solve for x.

x^2= 144

square root both sides and get,

x= 12

and

x= (-12)

remember to put your negative and 12 into parenthesis because you are multiplying the negative as well.

Answer:

x = 12

x = -12

Step-by-step explanation:

Step 1: Take the square root of both sides.

Therefore, x = 12 and x = -12 are the answers.

Answer: 310

Step-by-step explanation:

1.Find your constant difference of the sequence by subtracting from left to right which is 9

2. find your fomula by using Tn=bn+C (b is your constant difference you can find C by C=T1 -b ) which will then give us 9n-5

3. T(35)=9n-5=9(35)-5=310

Step-by-step explanation:

it is a simple addition and subtraction sequence :

10 + 0 + -21 + 14 = 3

since the result is positive, it is overall a gain.

if the result were negative, it would be an overall loss.

so, he had an overall gain of 3 yards.

The fraction 1/9 is greater than the fraction 1/11.

Comparing fractions involves a set of rules related to the numerator and the denominator. When any two fractions are compared, we get to know the greater and the smaller fraction.

To compare unlike fractions:

Step 1: Observe the denominators of the given fractions: .

Step 2: Now, let us convert them in such a way that the denominators become the same.

Step 3: Compare the fractions:

Step 4: The fraction with the larger numerator is the larger fraction.

The given fractions are 1/9 and 1/11.

Here, LCM of denominator 9 and 11 is 99

Then, fractions becomes 11/99 and 9/99

11/99>9/99

1/9>1/11

Therefore, the fraction 1/9 is greater than the fraction 1/11.

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Answer:

in order to find the least number of plums that can be shared, we have to find the greatest common factor of 6 ,9 and 12. the greatest common factor of 6 , 9 and 12 is 3. so if we have three plums. for 6 children , we have 3 plums.

Step-by-step explanation:

:)

Answer:

  c = -1/2

Step-by-step explanation:

Put the known values in the equation and solve for the unknown.

  k = cd² +e

  3 = c(2²) +5

  -2 = 4c . . . . . . . subtract 5

  -1/2 = c . . . . . . divide by 4

Answer:

3/8 = 0.375

Step-by-step explanation:

I used a calculator

Answer:

Step-by-step explanation:

We know that:

We don't know:

So, we do this:

Solve:

Angle ∠C is 115°.

Here given y intercept=1

As it has a fixed value line will be parallel to xaxis.

Let slope be m

\(\\ \sf\longmapsto y=mx+b\)

\(\\ \sf\longmapsto y=0x+1\)

\(\\ \sf\longmapsto y=1\)

Answer:

y = 200 + 50x

Step-by-step explanation:

y = cost

x = number of months

The cost is equal to the cost to open the plan plus the monthly fee times the number of months

y = 200 + 50x

Answer:

y = 200 + 50x

Step-by-step explanation:

the cost = the base cost plus the monthly charge ($50 per the number of months you pay it)

hope this helps (/o.o)/<3

Answer:

48

Step-by-step explanation:

set up a proportion of 1/3 and x/144 and then divide 144 by 3 which is 48

\(\stackrel{\textit{ratio of 1~:~3}}{\cfrac{males}{females}~~ = ~~\cfrac{1}{3}}\implies \cfrac{males}{144}~~ = ~~\cfrac{1}{3}\implies 3males=144 \\\\\\ males=\cfrac{144}{3}\implies males=48\)

The product of\((2.50×10^6)(1.56×10^5)\) is calculated by multiplying the coefficients (2.50 and 1.56) to get 3.9 and adding the exponents (6 and 5) to get 11. The final answer is expressed in scientific notation as \(3.9×10^11\).

To calculate the product of two numbers written in scientific notation, we multiply their coefficients and add their exponents. In this case, we have \((2.50×10^6)(1.56×10^5).\)

First, let's multiply the coefficients: 2.50 × 1.56 = 3.9.

Next, we add the exponents: 6 + 5 = 11.

Combining the result of the coefficient multiplication (3.9) with the sum of the exponents (11), we express the final answer in scientific notation as 3.9×10^11.

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Answer:

S = 3

S = 5

S = 7

S = 9

Step-by-step explanation:

t = 3s + 2

when t = 11

11 = 3s + 2

11 – 2 = 3s

9 = 3s

s = 3

t = 3s + 2

when t = 17

17 = 3s + 2

17 – 2 = 3s

15 = 3s

s = 5

t = 3s + 2

when t = 23

23 = 3s + 2

23 – 2 = 3s

21 = 3s

s = 7

t = 3s + 2

when t = 29

29 = 3s + 2

29 – 2 = 3s

27 = 3s

s = 9

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Answer : a. The null hypothesis is that there is no significant difference between the preferences of diet Coke, diet Pepsi, and the new diet cola among the 150 people sampled.

b. The alternative hypothesis is that there is a significant difference between the preferences of diet Coke, diet Pepsi, and the new diet cola among the 150 people sampled.

Explanation :

Null hypothesis: There is no significant difference in the preferences of diet Coke, diet Pepsi, and the new diet cola among the sample of 150 people.

Alternative hypothesis: There is a significant difference in the preferences of diet Coke, diet Pepsi, and the new diet cola among the sample of 150 people.

a) The null hypothesis is that there is no association between people's choice and the type of drink. The null hypothesis is also expressed as H0. It suggests that the observations being tested are a result of chance, with no underlying relationship between them. In simpler terms, it is the statement that the researcher is trying to disprove or nullify.

b) The alternative hypothesis, or H1, is a statement that contradicts the null hypothesis. The alternative hypothesis in this context can be stated as follows: there is a significant association between people's choice and the type of drink. The alternative hypothesis expresses that the data is not due to chance and that there is indeed a relationship between the two variables.

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Step-by-step explanation:

I am not sure what you mean by "sort". that would mean to bring them into a certain sequence.

I think you mean "categorize".

the first one is arithmetic.

the added constant is -4.2

98.3 - 4.2 = 94.1

94.1 - 4.2 = 89.9

...

the second one is neither.

it looks like first to be arithmetic with the added constant of -1.

1 - 1 = 0

0 - 1 = -1

but then

-1 - 1 = -2 and not 0.

the third is geometric.

the ratio or multiplication factor is 2.

1.75 × 2 = 3.5

3.5 × 2 = 7

...

the fourth is arithmetic.

the added constant is 1.2.

-12 + 1.2 = -10.8

-10.8 + 1.2 = -9.6

...

the fifth is geometric.

the ratio of multiplication factor is -1.

-1 × -1 = 1

1 × -1 = -1

...

if you really need to sort them (change their positions in that 5 elements list), then

the 1st and 4th are arithmetic (to be put into the top 2 spots).

the 3rd and 5th are geometric (to be put into the next 2 spots).

the 2nd is neither (last spot).

Answer:

y = (1/5)x + 2

Step-by-step explanation:

X = 5y-10

5y = x + 10

y = (1/5)x + 2

Answer:

i think its 4 - or 2 -

Step-by-step explanation:

Answer:

i think it might be -9

Step-by-step explanation:

The random number 0.23, when interpreted in the given frequency distribution of demand, would correspond to a demand of 1.

In order to interpret the random number 0.23, we need to refer to the frequency distribution of demand. A frequency distribution provides information about the different values of a variable and their corresponding frequencies or probabilities. However, since the frequency distribution of demand is not provided, we cannot determine the exact values and frequencies for each demand level.

Nevertheless, assuming that the demand levels in the frequency distribution are discrete and start from 0, it is likely that the random number 0.23 falls within the range of the cumulative probabilities for a demand level of 1. The cumulative probability represents the probability of observing a value less than or equal to a particular demand level.

To interpret the random number, we can compare it to the cumulative probabilities associated with each demand level. If the random number falls within the cumulative probability range of a specific demand level, then that demand level would be the interpretation. Since the random number 0.23 falls within the range for a demand of 1, we can conclude that the demand corresponding to the random number 0.23 is 1.

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Answer:

kira

Step-by-step explanation:

1.75*4 is greater than 1*5

Yes that's true, A plane is two dimensional.