For the following problem, match the name of the number property that was used to get to each step from the previous step.
37x2x(-5+1/2+5)

By taking the quotient between the total debt and the number of people, we conclude that the debt per person is $2,622

To find the amount of debt per person, we need to find the quotient between the total amount of debt and the number of people.

Here the total debt is:

$6.39 billion = $6.39*10^9

And the total number of people is:

2.437 million = 2.437*10^6

Then the quotient is:

Q = ($6.39*10^9)/( 2.437*10^6) = $2.622*10^3

The debt per person is:

Q = $2.622*10^3 = $2,622

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Answer:

Step-by-step explanation:

A: The denominator doubles every step.

B: 1/16 1/32 1/64

The probability of selecting red marble is 0.444.

Probability is calculated using the formula :

Probability = number of favourable outcomes ÷ total number of outcomes

Number of favourable outcomes = number of red marbles in box

Number of favourable outcomes = 8

Total number of outcomes = total number of marbles

Total number of outcomes = 8 + 4 + 6

Total number of outcomes = 18

Keep the values in formula of probability to find the probability of selecting red marble

Probability = 8 ÷ 18

Performing Division by 2

Probability = 4/9

Representing in decimal round to three decimal places = 0.444

Hence, the probability of selecting red marble is 0.444.

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Suppose $2000 is deposited in a bank account with an annual compound interest rate of 3%. After two years, we will have accumulated 121.80 in interest on your initial 2000 deposit.

Compound interest is, to put it simply, interest that is earned on interest. Compound interest is interest that is earned on both the initial principal and interest that builds up over time in a savings account.

There may be a difference in the timing of when interest is paid out and compounded. For instance, interest on a savings account may be paid monthly but compounded daily. The account balance plus any interest that has accrued but has not yet been paid out are used by the bank to determine your daily interest earnings.

For the above question:

Account Balance = Principal x (1 + interest rate (decimal))^number of the years. With given information this is:  [tex]2000 (1.03)^2[/tex] = 2,121.80.  So we will earn 121.80 in interest after the 2 years on your original 2000 deposit.

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Answer:

Step-by-step explanation:

Multiply the figure outside the bracket with each figure inside the bracket, and also be cautious of the signs.

1) -5(x + 2)

= -5x - 10    (multiply -5 with x and then multiply it with +2)

3) 7(1-9x)

= 7 - 63x    (multiply 7 with 1 then multiply it with 9x)

5) 9(8 - 8a)

= 72 - 72a    (multiply 9 with 8 then multiply it with 8a)

7) 4n - 7n

= -3n           (subtract the numbers only, as both are being multiplied with n, they can be subtracted)

9) n - 2 + 6

= n + 4          

Using translation concepts, the correct statement is given by:

Figure B is similar but not congruent to Figure A.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

Another format of a translation is a dilation, when the side lengths of the image are changed, hence:

Hence the correct statement is:

Figure B is similar but not congruent to Figure A.

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Answer:

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

Itvis the correct answer in my opinion

The equation that can be used to find the y-intercept of the line is

b = y - mx, and the y-intercept for this equation will be -12

In this question, It is given that a line passes through a given point (1,-8), and the slope of the line is given 4. We know the equation of Slope-point form : (y - y₁) = m(x - x₁), Where m = slope = 4 and (x1,y1) = (1,-8)

Now, putting these values into the slope-point form equation, We get :

            => (y - y₁) = m(x - x₁)

            => (y - (-8) = 4(x - 1)  => (y +8) = 4x -4

            => y = 4x -12          ---> Equation (1)

We got the slope-intercept form for the following situation.

We can find out the y-intercept value by comparing the

            => y = mx + b to Equation (1).

            => b = -12

Hence, b = y - mx will be used to find out the y-intercept and the y-intercept for this line will be -12

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Jasmine will prepare 3/2 cups of the spray cleaner.

Fractions are represented in mathematics as a numerical value that defines a portion of a whole.

For the given question;

Jasmine used 1 cup of water for the spray.

1/4 cups of white vinegar is used.

1/4 cups of alcohol is also used for the spray.

Then, the total cups of spray cleaner made is;

= 1 + 1/4 + 1/4

Taking LCM.

= (4 + 1 + 1)/4

= 6/4

= 3/2

Therefore, the total cups of spray cleaner prepared by the Jasmine is 3/2 cups.

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In the city parks and recreation department has announced at least many more 15 people must register for the swimming class.

The city parks and recreation department has announced that it will have a swimming class, there are at least 24 people register for the class.

It is possible to register 9 people in each class.

Based on the given conditions, formulate,

⇒ least people registered for the class - far people have registered

So, we can write,

⇒ 24 - 9

Calculate the sum or difference,

⇒ 15 people

Therefore, At least many more people must register for the swimming class to be is equal to 15 people.

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Answer: daddy 123 456

Step-by-step explanation:

696969696

The measure of angle is 24°.

We are given the two sides of the triangle as:

25 units and 10 units

Since the able that need to be found lies at 25 units side, the base side will be that only.

So, we get that:

Base side = B = 25 units

Perpendicular side = P = 10 units

We know that:

tan θ = P / B

tan θ = 10 / 25

tan θ = 2 / 5

θ = tan⁻¹ ( 2/ 5)

which will be approximately equal to

θ = 24°

Therefore, we get that, the measure of angle is 24°.

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Your question was incomplete. Please refer the content below:

Find the measure of the indicated angle to the nearest degree

a. 66

b. 22

c. 24

d. 68

The phenomenon that the sampling distribution of the sample mean can be approximated by a normal distribution as the sample size become large is called: Central Limit Theorem.

The central limit theorem (CLT) of probability theory states that, under the assumption that all samples are of equal size and regardless of the population's actual distribution shape, the distribution of a sample variable approaches a normal distribution (i.e., a "bell curve") as the sample size increases.

Now,

As stated in the definition of the Central Limit Theorem, sampling distribution of the sample mean can be approximated by a normal distribution as the sample size become large with the help of the stated theorem.

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Answer:

a² + b² = 56

Step-by-step explanation:

(a - b)² = a² - 2ab + b² ← substitute values

40 = a² - 2(8) + b²

40 = a² - 16 + b² ( add 16 to both sides )

56 = a² + b²

Class width is 10.

Lower class limit is 100.

Upper class limit is 110 of the first class.

A histogram is a visual depiction of data points arranged into ranges that the user has chosen. The histogram, which resembles a bar graph in appearance, groups numerous data points into comprehensible ranges or bins in order to compress a data series into an easily understood visual. In statistics, histograms are frequently used to show the frequency of a particular type of variable within a given range. Analysts can customize histograms in a number of different ways. They are able to alter the space between buckets. The sample given above has eight buckets with a ten-bucket spacing. Four buckets with a 20-second interval could be used instead.

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Answer:

in 5 minutes=9/10 miles

In 1 minutes= 9/10/5 miles

= 9/10*1/5

=9/50 miles

The value of sin 20 and sin 340 is 0.3420 and -0.3420 respectively

What is quadrant?

Each of the coordinate plane's four portions is referred to as a quadrant. In the first quadrant, all trig functions—sin, cos, tan, sec, csc, and cot—are positive. The second quadrant of sine has a positive value. Tangent in the third quadrant is positive. A positive cosine is present in the fourth quadrant.

Sin(20°)

20° is in the first quadrant. In quadrant 1, every trigonometric function is positive..

Sin(20)  = 0.3420

Sin(340°)

340° is in the forth quadrant. The sin is minus in quadrant 4.

Sin(340)  = -0.3420

Therefore, the value of sin 20 and sin 340 is 0.3420 and -0.3420 respectively

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Answer:

last one h babysat for 6 hours

Answer:

LK = 7

Step-by-step explanation:

We are using segment addition

NM + ML + LK = NK

x-6  + 9 +  2x-19  = 23

Combine like terms

x+2x   -6+9-19 = 23

3x -16 = 23

Add 16 to each side

3x-16+16 = 23+16

3x = 39

Divide each side by 3

3x/3 = 39/3

x = 13

We want to find the value of LK

LK = 2x-19

     =2(13) -19

     = 26 -19

    = 7

Answer:

[tex]\sf \: LK = 7 \: units[/tex]

Step-by-step explanation:

It's clear that,

[tex] \sf \: NM + ML + LK = NK[/tex]

Given that,

NM ---> x - 6

ML ---> 9

LK ---> 2x - 19

NK ---> 23

First, let us find the value of x using these values.

[tex] \sf \: NM + ML + LK = NK \\ \sf x - 6 + 9 + 2x - 19 = 23 \\ \sf \: combine \: like \: terms. \\ \sf \: 3x - 16 = 23 \\ \sf3x = 23 + 16 \\ \sf3x = 39 \\ \sf \: divide \: both \: sides \: by \: 3. \\ \sf \: x = 13[/tex]

And now we have to find out the length of LK.

As we mentioned before,

LK = 2x - 19

So, to find the length of LK, we have to replace x with 13 and solve the equation.

Let us solve now.

[tex] \sf \: LK = 2x - 19 \\ \sf \: LK = 2 \times 13 - 19 \\ \sf \: LK = 26- 19 \\ \sf \: LK = 7 \: units[/tex]

The correct option is "trigonal pyramidal"

The geometry around the central atom in the tert-butyl anion is trigonal pyramidal.

The third form has three carbons single bonded to a fourth carbon in the center, and the rest of a molecule is connected to the center carbon. In common parlance, this configuration is known as t-butyl or tert-butyl.

Some key features regarding the trigonal pyramidal are-

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1) A heart is equal to 5 units, a star to 13 units and a square to 20 units.

2) A star is equal to 66 units, a circle to 30 units and a triangle to 14 units.

Herein we find two case of systems of elements which have to be solved on the fact that each element represents a quantity. Now we proceed to represent each system:

Case 1

x - Heart

y - Star

z - Square

The algebraic representation of the system is shown below:

18 - x = y                      (1)

2 · x = 10                     (2)

z - y - 2 = x                  (3)

By (2):

x = 5

By (1):

y = 18 - 5

y = 13

By (3):

z = x + y + 2

z = 5 + 13 + 2

z = 20

Case 2

x - Triangle

y - Star

z - Circle

The algebraic representation of the system is shown below:

2 · x = 28                   (1)

80 - x = y                   (2)

y + x - z = 50             (3)

By (1):

x = 14

By (2):

y = 80 - 14

y = 66

By (3):

z = y + x - 50

z = 66 + 14 - 50

z = 30

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The number 32 can be written as a power with a base of 2 as 2^5

The index form of a number is defined as that number represented as an exponential expression, or even a single number raised to another number.

Example;

2^n

3^3

From the information given, we have to determine the index form of 32

It is expressed in the base of 2 as;

32 = 2 × 2 × 2 × 2 × 2

32 = 2^5

Thus, the number 32 can be written as a power with a base of 2 as 2^5

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Sample variance is a term that be defined as the outcome of the squared difference of any given data points that is said to be obtained from the mean of the data set.

It is also known to be a form of an absolute measure of a dispersion and is known also to be used to examine the deviation of data points with regards to the data's average.

Population variance is a term that is defined as a measure of the de spread of population data.

Therefore, Sample variance is a term that be defined as the outcome of the squared difference of any given data points that is said to be obtained from the mean of the data set.

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Answer:

7^-6

1/7^6 ( using law of negative index)

Answer:

Other person is correct.

Step-by-step explanation:

:>

Answer:

e=7(12)-3

Step-by-step explanation:

Because he needs three more to have 7 groups of 12 (7x12=84) so he has three less than the 7 groups of 12 he needs (84). So subtract 3 from that.

Answer:

Step-by-step explanation:

5(1) + 3 = 5 + 3 = 8

(1,8)

5(3) + 3 = 8 + 3 = 11

(3, 11)

5(9) + 3 = 45 + 3 = 48

(9, 48)

5(10) + 3 = 50 + 3 = 53

(10, 53)

Answer:

2/35

Step-by-step explanation:

Given that,

→ (6/7) - (4/5)

Let's solve the problem,

→ (6/7) - (4/5)

→ (30/35) - (28/35)

→ (30 - 28)/35

→ 2/35

Thus, the answer is 2/35.

Acceleration of the ball is 10 [tex]m/s^{2}[/tex].

The relation between initial velocity , final velocity , acceleration and time can be written as,

v = u + at

Here, v is the final velocity, u is the initial velocity, a is the acceleration and t is the time

Time taken by ball to reach the ground = t = 2 seconds.

As it starts from rest , initial velocity of ball = u = 0 m/s.

Final velocity of ball = v = 20m/s.

v = u + at                                                               equation 1

Put value of v = 20m/s , u = 0m/s and t = 2 seconds in equation 1.

(20m/s) = (0 m/s) + a (2 second)

a = ( 20m/s )/( 2second )

a = 10 [tex]m/s^{2}[/tex]

Acceleration of the ball is 10 [tex]m/s^{2}[/tex].

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