There are different types of proofs: two-column, paragraph and flow chart. Which of these type of proofs do you prefer? Why?

Task 3 (of 3)

Part 1: In this case the probabilitie that a person saw resould and receive the power pill is 0.65, so in order to have a trustable resould should be more than 95% to be certan. How ever I think that with a probabiliti of more that the 70% could wor. So in this case a probabilitie of 65% is not enogh to produce or dristribute.

Part 2: We can compare the resoulds of group A and group B and the resoulds of group C vs the resould in group D so we check if telling the subject affect anything.

So for group A and B are 0.15 and 0.175 so there is no significant difference and for C and the are 0.125 and 0.1 so there is again not significant effect.

Part 3: In this case maybe a better way to made the experiment is to take a bigger poblation, becuase each group has to low participants. if we have more particiants we can have better resoulds. Also we can calculate a standart deviation to be sure of the difference between the groups.

[tex]4x = 23- 7 \\ 4x = 16 \\ \frac{4x}{4} = \frac{16}{4} \\ x = 4[/tex]

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Equation are AA = 33+15tt and BB = 15+7tt. Tree A will remain taller than tree B till 2.25 years.

Size of Tree A in the beginning = 33 inches

Size of Tree B in the beginning = 15 inches

Increase in length of Tree A per year = 4 inches

Increase in length of Tree B per year = 7 inches

Let AA represent the height of Tree A tt years after being planted. Let BB represent the height of Tree B tt years after being planted.

Formulating the equation we get:

For tree A:

Height after tt years = Height in beginning + Increase each year*Number of years

AA = 33 + 15tt-----(1)

For tree B:

Height after tt years = Height in beginning + Increase each year*Number of years

BB = 15 + 7tt------(2)

Equating (1) and (2) we get:

33 + 15tt = 15 + 7tt

18 = -8tt

tt = 2.25 years

So, the trees will be of the same height in 2.25 years

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31/200 converted from a proper fraction to a decimal is 0.155.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

We can convert this proper fraction 31/200 into a decimal by first eliminating the zeroes and moving a decimal point from right to left to as many places as zeroes.

∴ 31/200.

= 0.31/2.

Now, we know that 30/2 is 15 and 32/2 is 16.

So, 31/2 must be 15.5.

∴ 0.31/2.

= 0.155.

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Answer:

4x - y - 5 = 0

Step-by-step explanation:

Given:

Slope = m = 4

(x1,y1) = (1,-1)

Solution:

y - y1 = m (x - x1)

y - (-1) = 4 (x - 1)

y + 1 = 4x - 4

y = 4x - 4 - 1

y = 4x - 5

4x - y - 5 = 0

In this case, we'll have to carry out several steps to find the solution.

Step 01

Data:

reasonable estimate = ?

39x24​

Step 02:

39x24​ = 936

reasonable estimate = 800

The answer is:

reasonable estimate = 800

Using Subtraction, At least  15 more people are required to register for the swimming class to held.

To remove anything from a set or a group of items in mathematics is to take that item away. The total number of elements in the group decreases or decreases when we subtract from it.

There are actually three methods to understand subtraction: taking away. Part-whole. Comparison.

Given:

No. of people required to start the class = 24

no. of people registered = 9

Therefore no. of people required = 24 - 9

= 15 people

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The coordinates of the midpoint of a segment with two endpoints ( 22, 4 ) and ( 15, 7 ) is ( 37/2, 11/2 ).

The center of a line segment is known as the midpoint. It is the centroid of the segment and of the ends, and it is equally distant from both of them. It cuts the section in half.

Consider the two endpoints of the segments as:

A( 22, 4 ) and B( 15, 7 )

Let M( x, y ) be the midpoint of the line segment.

Then AM = MB = ( 1/2 )AB

Therefore, the points will also the halfway from the midpoint.

Therefore,

M( x, y ) = ( 1/2 )A + ( 1/2 )B

M( x, y ) = 1/2( 22, 4 ) + ( 1/2 )( 15, 7 )

M( x, y ) = ( 11, 2 ) + ( 15/2, 7/2 )

M( x, y ) = ( 11 + 15/2, 2 + 7/2 )

M( x, y ) = ( 37/2, 11/2 )

Therefore, the coordinate of the midpoint of the line segment is ( 37/2, 11/2 ).

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Notice how the coefficients of 'x' and 'y' are both divisible by 4, therefore:

So, the equivalent expression of 36x+24y is 4(9x+6y)

ANSWER

-24

EXPLANATION

We have the expression and we want to find its value when b is 2 and c is -3.

To do that, we replace b in the expression with 2 and c with -3.

The expression is:

-4b + 8c + 12 - 8b - 2c + 6

So, we have:

-4(2) + 8(-3) + 12 - 8(2) - 2(-3) + 6

=> -8 - 24 + 12 - 16 + 6 + 6

=> -24

That is the answer.

The solution of the equation for a is a = 2(vt - d)/t²

Subject of formula involves isolating a variable in an equation different from the initial isolated variable

The equation is given as

d = vt - 1/2at²

From the question, we have

Subtract vt from both sides of the equation

d - vt = - 1/2at²

Multiply both sides by -2

at² = 2(vt - d)

Divide both sides by t²

So, we have the following equation

a = 2(vt - d)/t²

Hence, the solution is a = 2(vt - d)/t²

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Given: Principal, P=$825

Rate, R=10% compounded annually

Time, t=3 years.

Required: To find the amount after 3 years.

Explanation: The amount, A after t years at r% rate is given by

Putting the values we get

Final Answer: The amount after 3 years is $1098.075.

A line has a slope of -8 and passes through the point (0,5)​

Find out the equation of the line in slope-intercept form

y=mx+b

where

m is the slope

b is the y-coordinate of the y-intercept

in this problem

m=-8

b=5

therefore

Given

This can be written as:

The tip of 15% is 15% of the total value of the bill, which is $40. So, we need to take 15% of 40.

Taking 15% of 40 is the same as multiplying 15% by 40. 15% can also be written as:

So, we can take 15% of 40 by multiplying 0.15 by 40:

So, the amount left for the tip is $6.

mrs.bells daughter has 3.5 baskets of towels that need to be folded.if she gets 1.5 baskets folded per hour,how many hours will it take her daughter to fold all of the towels​

we know that

The unit rate is 1.5 baskets per hour

To find out the number of hours , divide the total baskets by the unit rate

so

3.5/1.5=2.33 hours

2.33 hours=2 1/3 hours or 2 hours 20 minutes

therefore

the answer is

Using the data from the question, we draw the following triangles:

The dimensions are in feet.

Now, the two triangles are proportional, so if we compute the ratio between the height and the basis of the first triangle, and then we do the same with the second, we must obtain the same number:

Replacing the dimensions of the triangles in the last equation, we get:

From the last equation we can compute b2, the basis of the second triangle, doing that we find that:

So the second triangle's base is:

(in feet)

Answer

A. 200

∫ 4 dt

integrate with respect to t

power rule

(x^n + 1)/(n + 1)

but you dont really need to go through all that for this

answer is 4t + c

because the derivative of 4t + c is just 4

The area of a trapezoid can be found through the formula

where a and b are the bases and h the height, then,

Step-by-step explanation:

so, we need to get the slope-intercept form

f(x) = y = ax + b

"a" is as always the slope, "b" is the y-intercept (the y-value when x = 0).

as we have the slope and a point, we can start with the point-slope form and transform it :

y - y1 = a(x - x1)

with (x1, y1) being a point on the line.

y - 7 = -9(x - 2) = -9x + 18

y = -9x + 25

therefore, the functional equation is

f(x) = -9x + 25

Let's determine which sale is better.

20% means that the shirt will cost:

$30 coupon means that the shirt will cost $90

15% off and $15 rebate means:

10% off and $20 rebate means:

Comparing the prices we conclude that the best deal is C

The length of a side of the triangle is 16.

A polygon is classified as regular when all sides and angles are equal. Therefore, a regular quadrilateral presents all the four sides and the  four angles equal. You can use the same conclusion for a regular triangle, but for a triangle the three sides and the  three angles are equal.

The question gives:

As the triangle was classified as regular, all its sides (x) are equal. Then,

x+x+x=48

3x=48

x=48/3

x=16

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The situation forms a right angle triangle. The distance form the coast to the helicopter is 1535.25910 ft.

Right angle triangles exists triangle that contains one of its angles as 90 degrees. The height of the helicopter exists the opposite side of the triangle formed.

How far off the coast to the helicopter is the adjacent side.

The situation forms a right angle triangle.

Therefore, tan 35° = opposite / adjacent

tan 35° = 1075 / a

Multiply both sides by a,

tan (35°) a = (1075 / a) a

Simplifying the above equation, we get

[tex]$\tan \left(35^{\circ}\right) a=1075$$[/tex]

Divide both sides by [tex]$\tan \left(35^{\circ}\right)$[/tex]

tan (35°) a / tan (35°) = 1075 / tan (35°)

Simplifying the above equation, we get

a = 1075 / tan (35°)

singularity points: a = 0

Combine undefined points with solutions:

a = 1075 / tan (35°)

a = 1535.25910 ft

Therefore, the distance form the coast to the helicopter exists 1535.25910 ft.

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The most appropriate choice for division will be given by-

Quotient = [tex]a - 3[/tex] and remainder = -3

What is division?

For finding the value of single unit from the value of multiple unit, division is used.

Division can be used for integers as well as for algebraic polynomials.

The expression which is divided is known as dividend.

The expression by which the dividend is divided is known as divisor.

The result obtained on division is called the quotient and the part which is remaining is called the remainder.

There is a well known formula in case of division.

Divisor [tex]\times[/tex] Quotient + Remainder = Dividend

The long division has been shown here-

[tex]\begin{array}{r}a-3\phantom{)} \\a-2{\overline{\smash{\big)}\,a^2-5a+3\phantom{)}}}\\\underline{-~\phantom{(}(a^2-2a)\phantom{-b)}}\\-3a+3\phantom{)}\\ \underline{-~\phantom{()}(-3a+6)}\\ -3\phantom{)}\end{array}[/tex]

Here Quotient  = [tex]a - 3[/tex] and remainder = -3

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First equation

3(x−2)(x+3)=0

3 is multiplying on the left, then it will divide on the right.

(x−2)(x+3) = 0/3

(x−2)(x+3) = 0

The solutions are:

x - 2 = 0 or x + 3 = 0

that is, x = 2 and x = -3

Second equation

(2x−4)(3x+9) = 0

The solutions are:

2x − 4 = 0

x = 4/2

x = 2



or 3x+9 = 0

x = -9/3

x = -3

Then, they have the same solutions.

Answer:

m=2

Step-by-step explanation:

m=2 is the answer hope this helped

Answer:

m=2

Step-by-step explanation:

Follow this step by step solution.

Hope this was helpful.

Using the principle of mathematical induction, the  [tex]n^{th }[/tex] term  of the given quadratic sequence is found to be 3n² - n + 1.

Given sequence:  3, 11, 25, 45,...

The first term of the sequence is 3, the second term is 11, the third term is 25, and the fourth term is 45.

The difference between the first and second terms can be calculated as follows:

11-3 = 8

The difference between the second and third terms can be calculated as follows:

25-11 = 14

The difference between the third and fourth terms can be calculated as follows:

45-25 = 20

The sequence is expressed as follows:

3,3+8,11+11,25+20,...

The difference between consecutive terms expands by 6.

Use the principle of mathematical induction.

[tex]6(\frac{n(n+1)}{2})[/tex]

= 3n(n+1)

The sequence's nth term can be calculated as follows:

[tex]n^{th }[/tex] term = 3n(n+1) - 4n + 1

              = 3n² - n + 1

Therefore, the [tex]n^{th }[/tex] term of the given quadratic sequence is found to be 3n² - n + 1 using the principle of mathematical induction.

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The simplified form of the three algebraic terms 0.3p + 0.2p + 0.4p  is 0.9p

The three algebraic terms are

0.3p + 0.2p + 0.4p

The algebraic expression is defined as the expression which is made up of constants and variables with the algebraic operation. The algebraic operations are addition subtraction, division and multiplication

To solve this problem first we have to group the like terms of the given expression and add the like terms of the expression

The three algebraic terms are

= 0.3p + 0.2p + 0.4p

Group the like terms

= (0.3 + 0.2 + 0.4) ×p

Add the terms together

= 0.9p

Hence, the simplified form of the three algebraic terms 0.3p + 0.2p + 0.4p  is 0.9p

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Answer: f(-2) = 3

The the below quadratic function

Find f(-2). To find f(-2) let x = -2