Complete the square. x² -5 x+ ____

Answer:

B is the correct answer:)) explanation up top

The windows of house are 8 feet apart distance.

As we are provided with the the total width of house is 33 feet and 4 feet distance between the edge of the house and the end windows

So the space available for the windows is total width of the house minus the  distance between the edge of the house and the windows from both the sides = 33 - 2(4) = 33-8 = 25 feet

The length of the windows to be inserted is the product of number of windows  and their side = 3 × 3 = 9 feet

The total distance between the windows can be find out by reducing the distance covered by windows from the area available for windows = 25feet - 9 feet = 16 feet

There are three windows, so there will be only 2 gaps whose length is 16 feet / 2 = 8 feets

Hence, the windows of the house are 8 feet  apart

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Emma initially had  £19 as the amount of money she initially had at the beginning

Emma gives  £8 to Hafid

Ben gives  £3 to Hafid

The total amount of money that Hafid can be calculated by adding Emma and Ben's money together.

= 3 + 8

= 11

They all have the same amount of money.

Emma initial amount can be calculated by adding 11 and the amount of money Emma gives to Hafid

= 11+8

= 19

Hence Emma initially had  £19

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Both can be seen as individual events. thus the events are independent.

When one event's occurrence or non-occurrence doesn't affect occurrence or non-occurrence of other event, then such events are called independent events.

Symbolically, we have:

Two events A and B are said to be independent iff we have:

[tex]P(A \cap B) = P(A)P(B)[/tex]

Given that; A bag contains 3 red chips, 5 green chips, 2 yellow chips, 4 brown chips, and 6 purple chips. One chip is chosen at random, the color noted, and the chip returned to the bag.

The probability of selecting the chip is green;

= 5/20

= 1/4

The probability of selecting the chip is brown;

= 4/20

= 1/5

the probability that the first chip is green and the second is brown

= 1/4 x 1/5

= 1/20

Both can be seen as individual events. thus the events are independent.

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The mid point of the given  Coordinates U= (-5,1) and point V = (7,9):

= ( -6 , 5).

Midpoint of a Line Segment:

A line segment's midpoint is a point that divides the line segment across two equal sections. The midpoint of a line segment with coordinates at both ends X₁ , Y₁ and  X₂, Y₂ is calculated using:

Point U has Coordinates (-5,1).

point V has coordinates (7,9).

Find  coordinates of the midpoint of UV = ?

We know that to find Midpoint of a Line Segment:

                               = [tex]\left(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right)[/tex]

Where U

           X₁ = -5

           Y₁ = 1

Whare V

           X₂ = 7

           Y₂ = 9

Putting the value in the formula:

UV = [tex]\left(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right)[/tex]

       = (-5 + 7)/2 , (1 + 9)/2

       = -6 , 5

The mid point of the given  Coordinates U= (-5,1) and point V = (7,9):

= ( -6 , 5).

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Step-by-step explanation:

Millies pumpkin: 52.25 lbs. (25 is one quarter of 100)

Kims is 90% as heavy.

We know in percentage, it only goes up to 100%.

Dividing

We can divide 100% into 10 chunks of 10%. In this instance, 52.25 lbs is 100%. So we divide 52.25 lbs into 10 chunks of 5.225 lbs.

Multiplying

90% is 9 times those little chunks of 10%. In this instance, 1 chunk is 5.225 lbs. So we simply multiply that by 9 because it's 90%.

Actually multiplying it

5.225 x 9 = 47.025 lbs

So 47.025 lbs is 90% of 52.25 lbs which is Millie's pumpkin.

Therefore your answer for "how much does kims pumpkin weigh" is

hoped this helped

If Elizabeth wants to use a sheet of fiberboard 27 inches long to create a skateboard ramp with a 17 ∘ ∘ angle of elevation from the ground. How high will the ramp rise from the ground at its highest end is: 7.895 inches.

Given:

Sheet of fiberboard=27 inches

Angle of elevation=17°

Height (h)=?

Hence,

Sin 17°=h/27

h=27 Sin 17°

h=27×0.2924

h=7.8948 inches

h=7.895 inches (Approximately)

Therefore If Elizabeth wants to use a sheet of fiberboard 27 inches long to create a skateboard ramp with a 17 ∘ ∘ angle of elevation from the ground. How high will the ramp rise from the ground at its highest end is: 7.895 inches.

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The data set's interquartile range (IQR) is 12 and the data set's range is expressed as a five-number summary at 46.

The interquartile range is a measure of statistical dispersion, or the spread of the data, in descriptive statistics. The middle 50%, fourth spread, or H-spread are further names for the IQR.The discrepancy between a data set's 75th and 25th percentiles.

ACCORDING TO GIVEN STATEMENT;

Firstly, arrange the data.

19 23 26 28 28 30 31 35 38 40 43 46

a) 5 number summary

-min value = 19

- Q1= (26+28/2) = 27

- Q2/ Median = (30+31/2)= 30.5

- Q3= (38+40/2)= 39

- Max value= 46

b) range= max value-min value

∴46-19= 21

c)interquartile range = Q3-Q1

                                 = 39-27

                                 =12

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Using unitary method, it is found that the total money construction worker get paid will be 2908.5 dollars.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We have been given that construction worker makes $30.62 an hour.  If they worked 45 hours a week and 50 hours the second week, then we need to find how much will they get paid.

For an hour he get paid = $30.62

For 45 hours a week = 30.62 x 45

                                  = 1377.9 dollars

For 50 hours the second week =  = 30.62 x 50

                                  = 1531 dollars

The total money he get paid will be; 1377.9  + 1531  = 2908.5 dollars.

Hence, the total money construction worker get paid will be 2908.5 dollars.

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47.4 is the mean of the data summarized in the given frequency distribution.

What is a frequency distribution?

speed        m f m*f

42-45       43.5 22 957

46-49    47.5 14 665

50-53    51.5 7 360.5

54-57    55.5 4 222

58-61    59.5 2 119

Total    49              2323.5

mean = 2323.5/49 = 47.4

The computed mean is not close to the actual mean because the difference between the means is more than 5%.

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Answer:

30 degrees.

Step-by-step explanation:

I included a picture to solve for X. Once you have X, we know that angle a=A= x + 39.

Doing the math on the paper, we know that X= - 9, therefore - 9 + 39 = 30.

Thus, angle A is equal to 30 degrees.

Answer:

96.6

Step-by-step explanation:

120.5 subtracted by 23.90 give you how much the gold nugget weight.

Answer:

A is -3 B is 24 and c is -16

Step-by-step explanation:

The results for each case of congruence are listed below:

9) Congruent

10) No congruent

11) No congruent

12) Congruent

13) Congruent

14) No congruent

There are several ways to determine if two line segments are congruent to each other. One form consists in finding the vector associated with each line segment and the length is found by the Pythagorean theorem:

Now we proceed to show how to apply the vector criterion:  

9) AB = (- 4, 8) - (- 4, 5) = (0, 3), CD = (2, 0) - (2, - 3) = (0, 3).

AB = 3, CD = 3. Congruent

10) AB = (1, - 1) - (6, - 1) = (- 5, 0), CD = (4, - 3) - (2, - 3) = (2, 0).

AB = 5, CD = 2. No congruent

11) AB = (- 1, 3) - (8, 3) = (- 9, 0), CD = (5, 3) - (5, 10) = (0, - 7).

AB = 9, CD = 7. No congruent

12) AB = (6, 1) - (6, - 8) = (0, 9), CD = (- 2, - 2) - (7, - 2) = (- 9, 0).

AB = 9, CD = 9. Congruent

13) AB = (- 5, - 1) - (- 5, 6) = (0, - 7), CD = (3, 3) - (- 4, 3) = (7, 0).

AB = 7, CD = 7. Congruent

14) AB = (3, - 4) - (10, - 4) = (- 7, 0), CD = (- 1, 5) - (- 1, 2) = (0, 3).

AB = 7, CD = 3. No congruent

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Answer: 75

Step-by-step explanation:

The total number of minutes Judy worked out for the week was 170 minutes. The correct option is the first option 170 minutes

From the question, we are to determine the total number of minutes Judy worked out for the week

From the given information,

The gym holds two 45-minute workout sessions and four 30-minute sessions each week

Thus,

The total number of minutes the gym holds workout sessions is

2 × 45 + 4 × 30

= 90 + 120

= 210 minutes

Also, from the information,

Judy left 5 minutes early during the 30-minute sessions and 10 minutes early during the 45-minute sessions

The total number of minutes Judy didn't attend is

2 × 10 + 4 × 5

= 20 + 20

= 40 minutes

Then,

The total number of minutes Judy worked out for the week was

210 minutes - 40 minutes

= 170 minutes

Hence, the total number of minutes Judy worked out for the week was 170 minutes. The correct option is the first option 170 minutes

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The solution of the given linear equation in one variable 3(2z +1) = 35.

According to the given question.

We have a linear equation in one variable 3(2z + 1) = 35.

As we know that, the linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution.

Therefore, the solution of the given linear equation in one variable is given by

3(2z + 1) = 35

⇒ 6z + 3 = 35    (by distributive rule)

⇒ 6z = 35 - 3      (subtracting 3 from both the sides)

⇒ 6z = 32

⇒ z = 32/6          (dividing both the sides by 6)

⇒ z = 16/3

Hence, the solution of the given linear equation in one variable 3(2z +1) = 35.

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The next three numbers of the sequence are -3, -5, -7,........

An arithmetic progression, or AP, is a series in which the next term is derived from the previous one. by modifying the previous word with a constant d known as the common difference. The arithmetic progression is if the first term of the series is a, a + d, a + 2d, a + 3d, ...

The given pattern forms an Arithmetic progression (A.P.)

The sequence is - 5 , 3, 1, -1, -3, -5, -7,........

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Answer:

15.8

Step-by-step explanation:

To round to nearest tenth we only go so far as the first decimal place. If the second decimal digit is less than 5 we leave that number as it is otherwise we increase it by 1

In 15.839, the second decimal digit is 3 so we get 15.8

(If it had been 15.864 then it would be 15.9)

The pattern exists described as a sequence of repeating objects, shapes, or numbers.

The pattern follows the rule(+3) and (-1).

The next three numbers is 8, 7, 10.

The numbers in the pattern be 1, 4, 3, 6, 5, 8, 7, 10.

A recurring arrangement of numbers, forms, colors, and other elements constitutes a pattern in mathematics. The Pattern can be connected to any kind of occasion or thing. When a group of numbers are arranged in a particular way, the arrangement is referred to as a pattern. Patterns can also occasionally be referred to as a series.

Let the numbers in the pattern be 1, 4, 3, 6, 5, . . .

1(+3) = 4

4(-1) = 3

3(+3) = 6

6(-1) = 5

5(+3) = 8

8(-1) = 7

7(+3) = 10

The pattern follows the rule (+3) and (-1).

The next three numbers is 8, 7, 10.

Therefore, the numbers in the pattern be 1, 4, 3, 6, 5, 8, 7, 10.

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Answer: 5

Step-by-step explanation:

4|3x-1| - |9x+6| ; x=-5

Insert 5 into the x's

4|3(5)-1| - |9(5)+6|

Multiply the 5's

4|(15)-1| - |(45)+6|

Now add/subtract within the absolute values

4|14| - |51|

Get rid of the absolute vaules

4(14) - 51

Multiply 4(14) = 56

56 - 51 = 5

The greatest number of identical arrangements is 1 arrangements of 15 strawberries and 2 grapes.

It is required to find the solution.

The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share. The greatest common divisor of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.

Given:

In total, there are 15 strawberries and 30 grapes.

To find the greatest number of identical arrangements, first we need to find the greatest common factor of 15 and 30.

According to given question we have

GCF of (15,30) = 15

Therefore, the greatest number of identical arrangements is 1 arrangements of 15 strawberries and 2 grapes.

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A mathematical expression is a finite combination of symbols that is well-formed in accordance with context-specific norms.

The expression that represents the quotient of 3 and 3 less than a number is 3/(x - 3).

Let, x be a number

So the expression is, 3/(x - 3)

A mathematical expression is a finite combination of symbols that is well-formed in accordance with context-specific norms.

The expression that represents the quotient of 3 and 3 less than a number is 3/(x - 3).

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By algebra properties, the roots of the quintic equation are approximately 541.159 with a multiplicity 5.

In this problem we find a quintic equation, whose roots have to be found by using algebra rules:

33¹⁰ - 33 · x⁵ + 1 = 0                      

33 · x⁵ = 33¹⁰ + 1

x⁵ = (33¹⁰ + 1) / 33

x⁵ = 33⁹ + 33⁻¹

x = [tex]\sqrt[5]{33^{9}+33^{- 1}}[/tex]

x ≈ 541.159

By using algebra properties, the roots of the quintic equation are approximately 541.159 with a multiplicity 5.

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From the options given, the options that can increase the likelihood of selecting a yellow marble can be determined by finding out the probability of selecting the yellow marble.

Probability is method of determining a numerical occurrence of a outcome from the set of all possible outcomes of an events. The value is expressed from zero to one.

Probability (Event)= Favorable Outcomes(x)/Total Outcomes(n)

Hence,

n=total number of marbles=3+2+4+3=12

x=no of yellow marbles=2

Probability=2/12=1/6

In order to increase the probability of choosing a yellow marble, let consider the options.

Andrew should add more green marbles to the bag.

Increasing green by say 2

Probability=2/14=1/7<1/6

Andrew should add more yellow marbles to the bag.

Increasing yellow by say 3

Probability=5/15=1/3>1/6

Andrew should remove from the bag 1 green, 1 black, and 2 red marbles.

Decreasing the said marbles

Probability=2/8=1/4>1/6

Andrew should add more black marbles to the bag.

Increasing black by 2

Probability=2/14=1/7<1/6

Andrew should triple the number of yellow marbles in the bag.

Increasing yellow marble by 2x3=6

Probability=6/16=3/8>1/6

Hence, the options of making the likelihood of yellow drawing more would be Andrew should add more yellow marbles to the bag, Andrew should remove from the bag 1 green, 1 black, and 2 red marbles and Andrew should triple the number of yellow marbles in the bag.

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Answer: Angle R is 15.8 and angle S is 15.4.

Step-by-step explanation: Equal 3x + 5 to 9x - 17, to each other and get 3.6 and 3.6 equals x. Q and R are congruent. for 3x +5, multiply 3.6 by three and add 5. Multiply 3.6 by 9 and subtract 17. I hope this helps :)

Two different infinite geometric series that each have a sum of 8 are 32 + 32(3) +32(3)² + 32(3)³ + .................    and 24 + 24(2) + 24(2)²+ 24(3)³+ .............

An Infinite geometric series is the sum of the infinite terms and these terms have constant ratio between successive terms.

Let us take first term of the infinite series be a and r be the constant ratio between successive terms. Then formula for such  geometric series be a+ar+ar²+ar³+.............

And sum of such series is ,S =a/(1+r)

We have to find two infinite geometric series with sum S = 8

Let us take a=24 and r=2

Then sum, S = [tex]\frac{24}{2+1} =\frac{24}{3}=8[/tex]

Therefore such series will be:

24 + 24(2) + 24(2)²+ 24(3)³+ .............

Another possibility for sum 8 will be with a =32 and r=3

Then the sum, S = [tex]\frac{32}{3+1} =\frac{32}{4}=8[/tex]

Therefore another such infinite geometric series will be

32 + 32(3) +32(3)² + 32(3)³ + .................

Thus, two different infinite geometric series that each have a sum of 8 are 24 + 24(2) + 24(2)²+ 24(3)³+ ............. and

32 + 32(3) +32(3)² + 32(3)³ + .................

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Based on the number given of  8.141141114, it is NOT a rational number.

A rational number refers to one that does not extend to infinity after the decimal. Some rational numbers will extend to infinity but they will have repeating numbers such as 0.3333333333.

The number  8.141141114, is not a rational number because it extends into infinity and the numbers after the decimal point are nonrepeating.

In conclusion, 8.141141114 is not a rational number.

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She has driven 84 miles at speeds ranging from 35 to 70 miles per hour.

The correct option is B.

Algebra is the branch of mathematics that aids in the representation of problems or situations using mathematical expressions. In algebra, we utilize integers with definite or fixed values such as 2, 7, 0.068, and so on. In algebra, we use variables such as x, y, and z in addition to numbers. In algebra, signs are employed.

She drove 70 miles per hour for 65% of the journey hour.

So she covered = ((65)*100)*300

                                    = 195 miles.

The remaining distance is 300 – 195 = 105 miles.

She drove just under 35 miles per hour for the remaining 20% of the route.

So she covered. = ((20)/100)*105

or 21 miles

So, totally she covered 195 +

21 or 216 miles at 70 miles per hour maybe less than 30 miles per hour However, since the trip is 300 miles long, this same remaining distance becomes 300 - 216 or 84 miles.

She has driven 84 miles at speeds ranging from 35 to 70 miles per hour.

The correct option is B.

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Answer:

x=5/11 | x=6, A

Step-by-step explanation:

For the first question- 3(4-2x)=-x+1

Use algebra to solve

1. 3(4-2x)=-x+1 Distribute

2. 12-6x=-x+1 Seperate like terms

3. 12-1=6x-x Combine

4. 11=5x

5. x=5/11

For the second babysitting question, since we want to multiply the combined hours worked by 9 (the amount of money per hour, the equation should be A. Use algebra to find the hours.

1. 9(5+x)=99 Distribute

2. 45+9x=99

3. 9x=54

4. x=54/9

5. x=6