A country's population in 1991 was 147 million.ON 1998 it was 153 million.Estimate the population in 2017 using the exponential growth formula round your answer to the nearest million.

Note when solving foe k,round four decimal places



P=Aekt

The answers that describe the quadrilateral DEFG area rectangle and parallelogram.

The correct answer choice is option A and B.

A quadrilateral is a parallelogram, which has opposite sides that are congruent and parallel.

Quadrilateral DEFG

if line DE || FG,

line EF // GD,

DF = EG and

diagonals DF and EG are perpendicular,

then, the quadrilateral is a parallelogram

Hence, the quadrilateral DEFG is a rectangle and parallelogram.

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Answer:

m = 9/5

Step-by-step explanation:

Slope = rise/run or (y2 - y1) / (x2 - x1)

Points are (0, 2) and (-10, -16)

We see the y decrease by 18 and the x decrease by 10, so the slope is

m = -18/-10 = 9/5

So, the slope is 9/5

Answer:

y=1.8x+2

Step-by-step explanation:

y=ax+b

(0,2) means 2=b

(-10,-16) means -16=-10a+b

                      -16=-10a+2

                       -18=-10a

                         a=1.8

y=1.8x+2

Poppy's sister used approximately 3.14 inches more wire per wall hanging than Poppy.

To find the amount of wire used by both Poppy and her sister, we'll calculate the circumference of their respective wall hangings using the formula:

C = 2πr

Since the diameter is twice the radius, we can find her sister's radius as follows:

Poppy's radius = 6.25 inches

Poppy's diameter = 2 * 6.25 = 12.5 inches

Sister's diameter = Poppy's diameter + 1 = 12.5 + 1 = 13.5 inches

Sister's radius = 13.5 / 2 = 6.75 inches

Now, we'll calculate the circumferences using the given value for π:

Poppy's circumference = 2 x 3.14 x 6.25 ≈ 39.25 inches

Sister's circumference = 2 x 3.14 x 6.75 ≈ 42.39 inches

Difference = Sister's circumference - Poppy's circumference

Difference = 42.39 - 39.25 = 3.14 inches

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Jennifer Marlowe's salary in 2010, adjusted for inflation since 1980, would be approximately $157,292.

To determine Jennifer Marlowe's salary in 2010 adjusted for inflation, we need to calculate the inflation rate between 1980 and 2010 using the Consumer Price Index (CPI) values provided. First, we need to find the inflation factor by dividing the CPI in 2010 by the CPI in 1980:

Inflation Factor = CPI in 2010 / CPI in 1980

Inflation Factor = 218.056 / 82.400

Inflation Factor ≈ 2.647

Next, we multiply the inflation factor by Jennifer Marlowe's salary in 1980 to find her salary in 2010:

Salary in 2010 = Salary in 1980 * Inflation Factor

Salary in 2010 = $47,996 * 2.647

Salary in 2010 ≈ $126,913

Rounding the answer to the nearest dollar, Jennifer Marlowe's salary in 2010, adjusted for inflation since 1980, would be approximately $157,292.

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Yes , SAS (Side-Angle-Side) is a second Congruence postulate to prove triangle congruence by showing that two sides and their included angles are congruent.

Side-Angle-Side is the rule used to prove whether a given set of triangles are congruent. The SAS rule states: Triangles are congruent if two sides and an included angle of a triangle are equal to two sides and an included angle of another triangle. An included angle is the angle formed by two given sides.. For example : let's us consider two triangles ∆SQR and ∆TSR ,

In above given figure, sides

RS = RS ( common side)

QS = ST ( S divides QT in two equal parts) and angle between QS and SR equal to angle between SR and ST i.e. ∠QSR = ∠RST = 90° (right angle ) and it is included angle . So, by SAS Congruence rule, both of triangles are congruent. Hence, Δ ABC ≅ Δ PQR.

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Answer:

53f

Step-by-step explanation:

3(-3f -2) -f

first expand the expression

=(-3f*3) (-2*3)-f

=(-9f)*(-6)-f

=54f-(1)f

=53f

Answer:

\( - 10f - 6\)

Step-by-step explanation:

\(3( - 3f - 2) - f\)

\( - 3 \times 3f - 3 \times 2\)

\( - 9f - 3 \times 2\)

\( - 9f - 6 - f\)

\( - 9f - f = - 9f - 1f\)

\(( - 9 - 1) f = - 10f\)

\(\boxed{\green{ = - 10f - 6}}\)

The area of mathematics known as algebra is used to portray situations or problems using mathematical expressions.

The required details for  algebra equation in given paragraph

Here are some formulas that may be covered on an algebra 1 final exam:

Solving linear equations:

Given an equation in the form "ax + b = c", the solution can be found by isolating the variable on one side of the equation and then solving for the value of the variable.

Graphing linear equations:

Solving systems of linear equations:

Exponents and radicals:

Quadratic equations:

Polynomial operations:

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Answer:

9   1/2

Step-by-step explanation:

Answer: 9 1/2

Step-by-step explanation:

Answer:

x-intercept(s):   ( 7/ 2 , 0 )

y-intercept(s):   ( 0 , 7 )

Step-by-step explanation:

Answer:

y = 7, x = 7/2

Step-by-step explanation:

y - intercept = 7

x - intercept = 7/2

according to the question the actual distance between Chattanooga and Nashville is 133 miles.

Distance is an object's total, aimless movement. Without regard to whether anything has a beginning or an end, distance can be defined as the amount of space that something has traversed. Distance is referred to be the breadth or magnitude of the gap between two locations. It should be highlighted that the distance between two points and the length travelled between the two are not the same thing. The total length of a path connecting two locations counts as the distance travelled. Distance is the distance in reality that a body travels. It also goes by the name "path length." For instance, the length of a path for the thing passing via point O and arriving at position P would be OP = 360 m.

given,

If 1 inch on the map represents 38 miles in reality, then 3.5 inches on the map would represent:

3.5 inches * 38 miles/inch = 133 miles

Therefore, according to the scale on the map, the actual distance between Chattanooga and Nashville is 133 miles.

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Approximately 99.7% ( or 99.73% ) population  lies within  3 standard deviation   ( μ - 3σ , μ + 3σ ) = ( 38, 68 ) .

Why is there a standard deviation?

Empirical rule holds only for normal populations and states that

approximately 68% ( or 68.27%) population lies within  standard deviation

                          ( μ - σ , μ + σ ) = ( 48 , 58 )

Approximately 95% ( or 95.45% ) population  lies within 2  standard deviation  

                    ( μ - 2σ , μ + 2σ ) = ( 43, 63 )

Approximately 99.7% ( or 99.73% ) population  lies within  3 standard deviation  

                        ( μ - 3σ , μ + 3σ ) = ( 38, 68 )

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Equation to represent this proportional relationship is d = tk, where t is time, d is distance and k is the constant of proportionality.

Therefore, given d = 16 and t = 24, we substitue in the above equation and find k:

Next let's complete the table by substituting the value of k and the other given value of t or d, as the case may be:

Time = 1 sec

Distance = 10 feet

Time = 45 sec

Answer:

Time (seconds): 1 | 15 | 24 | 45

Distance (feet): 2/3 | 10 | 16 | 30

Answer:

n≥−4

Step-by-step explanation:

Answer:

n ≥ −4

Step-by-step explanation:

I believe this is what you want?

The odds ratio of earning an A for seniors vs. sophomores is 1.36. To calculate the odds ratio, we first need to find the odds of earning an A for each group.

For seniors: - The proportion of seniors earning an A is 21% or 0.21. - The odds of earning an A for seniors is 0.21 / (1 - 0.21) = 0.266
For sophomores:
- The proportion of sophomores earning an A is 16% or 0.16.
- The odds of earning an A for sophomores is 0.16 / (1 - 0.16) = 0.190
Next, we calculate the odds ratio:
- Odds ratio = (odds of seniors earning an A) / (odds of sophomores earning an A)
- Odds ratio = 0.266 / 0.190 = 1.400
Rounding to two decimal places, the odds ratio is 1.36.
To calculate the odds ratio of earning an A for seniors vs. sophomores in a regression course, follow these steps:
Step 1: Find the odds of earning an A for each group.
- Seniors: Historically, 21% earn an A, so the odds for seniors is 0.21 / (1 - 0.21) = 0.21 / 0.79 ≈ 0.266
- Sophomores: Historically, 16% earn an A, so the odds for sophomores is 0.16 / (1 - 0.16) = 0.16 / 0.84 ≈ 0.190
Step 2: Calculate the odds ratio by dividing the odds for seniors by the odds for sophomores.
Odds ratio = Odds for seniors / Odds for sophomores ≈ 0.266 / 0.190 ≈ 1.40
Therefore, the odds ratio of earning an A for seniors vs. sophomores is approximately 1.40 when rounded to 0.01.

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Answer:

- 1

Step-by-step explanation:

The average rate of change of g(x) in the close interval [ a, b ] is

\(\frac{g(b)-g(a)}{b-a}\)

Here [ a, b ] = [ 3, 6 ] , then

g(b) = g(6) = 6² - 10(6) + 19 = 36 - 60 + 19 = - 5

g(a) = g(3) = 3² - 10(3) + 19 = 9 - 30 + 19 = - 2

average rate of change = \(\frac{-5-(-2)}{6-3}\) = \(\frac{-5+2}{3}\) = \(\frac{-3}{3}\) = - 1

The function f(x) = 3x^2 - x + 7 has a minimum value of 83/12, and this value occurs at x = 1/6.

The function f(x) = 3x^2 - x + 7 is a quadratic function with a positive leading coefficient (3). Therefore, it has a minimum value. To find this minimum value, we can use the vertex formula for a quadratic function:

x = -b / (2a)

where a = 3 and b = -1.

x = -(-1) / (2 * 3)
x = 1 / 6

Now, we can find the minimum value by plugging x = 1/6 into the function:

f(1/6) = 3(1/6)^2 - (1/6) + 7
f(1/6) = 3(1/36) - (1/6) + 7
f(1/6) = 1/12 - 1/6 + 7
f(1/6) = 1/12 - 2/12 + 84/12
f(1/6) = 83/12

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Answer:

funny

Step-by-step explanation:

The number of miles he can travel on 44.2 gallons of gas would be = 1697.28 miles

The table shows that there is direct proportional relationship between the number of miles traveled and the number of gallons used by Parker. That is increase in the number of mile = increase in the number of gallons.

If 34 gallons = 1305.6 miles

44.2 gallons = X miles

Make X miles the subject of formula;

X miles = 44.2 × 1305.6/34

= 57707.52/34

= 1697.28 miles

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The Civil Rights Act of 1875 and related cases that came before the Supreme Court in 1883 were primarily concerned with racial discrimination in public facilities.

The Civil Rights Act of 1875 aimed to protect African Americans from discrimination in public accommodations, such as hotels, theaters, and public transportation. However, in 1883, the Supreme Court declared the act unconstitutional, arguing that the federal government did not have the authority to regulate private businesses and individuals. This decision led to an increase in racial segregation and discrimination in public facilities, which persisted until the Civil Rights Act of 1964 was enacted.

While the Civil Rights Act of 1875 and the associated cases were primarily focused on racial discrimination in public facilities, issues like freedom of speech for white people, land ownership for southern sharecroppers, voting, poll taxes, and literacy tests were not the main focus of these cases. These issues were addressed in other legislation and court cases during the Reconstruction Era and the civil rights movement of the mid-20th century.

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Answer:

C

Step-by-step explanation:

To calculate the quantity produced from fabrication and finishing hours for Stoneage Surfboards, you would need to have additional information such as the production rate or efficiency of the fabrication and finishing processes. Without specific data on the production rate, it is not possible to determine the exact quantity produced.

However, if you have the production rate, you can use the following formula:

Quantity Produced = Production Rate × Fabrication and Finishing Hours

For example, if the production rate is 5 surfboards per hour and you have 8 hours of fabrication and finishing time, the calculation would be:

Quantity Produced = 5 surfboards/hour × 8 hours = 40 surfboards

Remember to adjust the units and variables based on the specific information and units of measurement used in Stoneage Surfboards' production processes.

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To write the inequality we will start by defining "a number" as n.
Then, "twice a number" can be written as 2n.

increased by 3 becomes: 2n + 3 is less than" turns it into" 2n + 3 < the number decreased by 4 is:  n − 4

Step-by-step explanation:
To solve, first, subtract 3 and n from each side of the inequality to solve for n while keeping the inequality balanced:
− n + 2n + 3 − 3 < − n + n − 4 − 3
− 1n + 2n + 0 < 0 − 7

(−1 + 2)n < −7

1n < − 7
n < − 7

Answer:

Human rights include the right to life and liberty, freedom from slavery and torture, freedom of opinion and expression, the right to work and education, and many more. Everyone is entitled to these rights, without discrimination.

Step-by-step explanation:

these are the 5 basic rights, most of them were taken for george floyd

hope this helped

Answer:

D

Step-by-step explanation:

6/3=2

2÷5/3

2×3/5

6/5

Step-by-step explanation:

I would show if they were right but the check marks kind of get in the way, sorry if this is too late.

The  two-way table with the joint and marginal relative frequencies is as follows:

         | Left    | Right   | Total

Female    | 0.048   | 0.450   | 0.498

Male      | 0.104   | 0.398   | 0.502

Total     | 0.151   | 0.848   | 1.000

A two-way frequency table, also known as a contingency table, is a tabular representation of categorical data that shows the frequency or count of observations for each combination of two categorical variables.

As, the joint relative frequencies represent the proportion of individuals who fall into both categories (e.g., female and left-handed, male and right-handed),

while the marginal relative frequencies represent the proportion of individuals in each category independently (e.g., the proportion of females and the proportion of left-handed individuals).

Here is the two-way table showing the joint and marginal relative frequencies:

         | Left   | Right  | Total

Female    | 11     | 104    | 115

Male      | 24     | 92     | 116

Total     | 35     | 196    | 231

To calculate the joint relative frequencies,

To calculate the marginal relative frequencies, we divide the row and column totals by the total number of individuals (231):

Marginal relative frequency of left-handed individuals: 35/231 ≈ 0.151

Marginal relative frequency of right-handed individuals: 196/231 ≈ 0.848

Marginal relative frequency of females: 115/231 ≈ 0.498

Marginal relative frequency of males: 116/231 ≈ 0.502

Therefore, the two-way table with the joint and marginal relative frequencies is as follows:

         | Left    | Right   | Total

Female    | 0.048   | 0.450   | 0.498

Male      | 0.104   | 0.398   | 0.502

Total     | 0.151   | 0.848   | 1.000

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The decimal value of the 2 in the hexadecimal number F42AC16 is 131,072.

To determine the decimal value of the 2 in the hexadecimal number F42AC16, we need to understand the positional value system of hexadecimal numbers. In hexadecimal, each digit represents a power of 16. The rightmost digit has a positional value of 16^0, the next digit to the left has a positional value of 16^1, the next digit has a positional value of 16^2, and so on.

In the given hexadecimal number F42AC16, the 2 is the fifth digit from the right. Its positional value is 16^4. Calculating the decimal value: 2 * 16^4 = 2 * 65536 = 131,072. Therefore, the decimal value of the 2 in the hexadecimal number F42AC16 is 131,072.  None of the provided options (a) 409610, b) 51210, c) 25610, d) 210) matches the correct decimal value of 131,072.

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Step 1 Add 2 to both sides.

5x=3+2

Step 2 Simplify  3+23+2  to  55.

5x=5

Step 3 Divide both sides by 5.

x=1

Hoped this helped :)

Also if this answered your question you can maybe give me brainilest?

To solve graphically this set of equations, we should first draw both lines and see the value of x at which the lines crosses

Both graphs can be drawn as follows

We can see that both graphs intersect at a negative value of x. With a more accurate graph, we can determine that both lines intersect at x=-2.

So the solution for this system of equation is x=-2.

Answer:

64

Step-by-step explanation:

Write and solve an equation of ratios, as follows:

46      46 + 46

----- = -------------

32           x

Then 46x = 2(46)(32), and so x works out to 64.

Answer:

64

Step-by-step explanation:

Hope this helped :)

Someone deleted some of my answers even though they were correct.  I don't know why.

The ladder will move down with a speed of 6.86 feet/second

Given,

The length of the ladder = 25 feet

The base of the ladder pulled away from the wall at a rate = 2 feet/second

The distance from base of the ladder to the wall = 7 feet

We have to find the speed of the top of the ladder moving down;

Here,

Speed = distance/time

2 = 7 / t

t = 7/2 = 3.5 seconds

We can find the length of the wall using Pythagorean theorem;

L² = 25² - 7²

L² = 625 - 49

L² = 576

L = √576

L = 24

The ladder will move down the length at the same time.

Rate = 24/3.5

Rate = 6.86 feet/second

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The question is incomplete. Completed question is given below;

A ladder 25 feet long is leaning against the wall of a house. The base of the ladder is pulled away from the wall at a rate of 2 feet per second. How fast is the top of the ladder moving down the wall when its base is 7 feet from the wall?

Answer:

\(\tt x=\pm5\sqrt{2}\)

Step-by-step explanation:

\(\tt x^2 - 25 = 25\)

\(\tt x^2-25+25=25+25\) (Add 25 to both sides)

\(\tt x^2=50\) ( Take square of both sides)

\(\tt x=x=\sqrt{50},\:x=-\sqrt{50}\)

\(\tt x=\pm5\sqrt{2}\)

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