a rectangular field is twice as long as it is wide. if 3 feet are taken from the width, and 4 feet taken from the length, the resultant are of the field is 180 2 ft . find the area of the original field.

Step-by-step explanation:

If you know how to do an equation like: 5x - 3 = 21

Or something formatted like that, its the exact same thing, only there's a different sign. So I believe the first one would be:

x + 3 < 5

   - 3    -3

x = 2

But I just learnt how to do this so let me know if it works :)

Also! If the number after the sign's (such as < or >) sign changes (such as -3 becomes 3 or 3 becomes -3. or even when -3 becomes 1) then you swap the sign ( < becomes > and visa versa) But this only works if it changes due to a multiplication or division. Example:

-3x >  3

(divide by -3)

x < -1

I swapped the sign. Make sense?? Let me know if it doesnt and I'll clarify

Answer:

pythagorean theorem

Step-by-step explanation:

Answer:

-3/5

Step-by-step explanation:

put down the 5,0 and 0,3 then simply start at the 5,0 and count up how many boxes it takes to get to the three then count left how many boxes it takes to get to 0 so...3/5. then look at the line. its going down which means it is negative. so the slope is -3/5

Answer:

y is 3 and x is

Step-by-step explanation:

We can see here that the effect that the circled point will have on the y-intercept is: B. The y-intercept will decrease because the point pulls the least-squares regression line toward it.

In statistics, an intercept is the value of the dependent variable when the independent variable(s) is equal to zero. It is often represented by the symbol "b" in a linear equation.

For example, a simple linear equation has the form y = mx + b, where "y" is the dependent variable, "x" is the independent variable, "m" is the slope of the line, and "b" is the y-intercept. The y-intercept is the point where the line crosses the y-axis.

We see here that the answer above is the correct answer.

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Answer:1.05

Step-by-step explanation:

total = 2.25

pen = x

notebook = x+0.15

2x+0.15=2.25

2x=2.10

x=1.05

pen = 1.05

1.) The line with the greatest slope.

The greater the slope of the line, the more upright it is. Observing the given graph, the line with the greatest slope is line a.

2.) Lines that are parallel.

Two lines are parallel if they do not have an intersection with each other at any point in the graph. We can see that line b and line d, do not intersect at any point in the graph and are thus parallel lines.

3.) Line with a negative slope

A line with a negative slope is a line that goes downwards from left to right, in the graph we can see that line e and line f goes downwards from left to right.

4.) Line that is perpendicular to the y-axis.

A line that is perpendicular to the y-axis, is a line that is parallel to the x-axis. Looking at the graph, line c is perpendicular to the y-axis.

Answer:

Step-by-step explanation:

C

Answer:

B

Step-by-step explanation:

The future value of the annuity due is $22368.51 and the amount of this value from contributions is $28,000 and the amount of this value from interest is -$5623.49. 

Given that,Payments of $2000 made at the beginning of each semiannual period for 7 years at 8.49% compounded semiannually.First, we have to find the future value of the annuity due.

FV = Pmt [(1 + i) n - 1] / i

Where,Pmt = Payment i = Interest Rate / 2n = 2 x Number of years

FV = $2000 [(1 + 0.04245) 14 - 1] / 0.04245

FV = $2000 x 11.184

FV = $22,368.51

Now, we have to find the portion of the value from contributions and how much from the interest.

The total contribution = $2000 x 14 = $28000

The interest = FV - The total contribution = $22368.51 - $28000 = -$5623.49 (Interest is negative)

Therefore, the future value of the annuity due is $22368.51 and the amount of this value from contributions is $28,000 and the amount of this value from interest is -$5623.49. 

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The given statement "The misuse of statistics is sometimes intentional." is True, because there are instances where people intentionally misuse statistics to manipulate or deceive others.

The misuse of statistics can be an intentional act by individuals or organizations to manipulate or deceive others. This is often done by selectively choosing data or statistics that support a particular argument or position, while ignoring or downplaying information that does not support it.

One way this can be achieved is by distorting graphs or charts. For example, a bar chart can be designed to visually exaggerate the differences between data points, making the differences appear more significant than they actually are. This can be done by adjusting the scale of the chart or by changing the width of the bars.

Another way that statistics can be misused is by making false claims based on the data. For example, someone may use a correlation between two variables to imply a causal relationship, even though there may not be any evidence to support this claim.

Similarly, statistics can be used to mislead people by presenting them in a way that is misleading. For example, a statistic may be presented without any context or compared to an irrelevant baseline, making it appear more significant or less significant than it actually is.

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Answer:

Step-by-step explanation:

Answer:

so its C

Step-by-step explanation:

teacher said so

Answer:

first option is correct

Step-by-step explanation:

hope this helps

Answer:

2 is the answer

Step-by-step explanation:

The answer will probably be:

20-(-2)^2 = 16

6-(-2)= 8

So 16/8 =2

And therefore 2 is the answer

Given :

To Do :-

Solution :-

Given that ,

Distributive property of Multiplication over addition ,

So that ,

Step-by-step explanation:

As it says, multiply 45x to all the terms. This is required to get rid of fractions.

See the steps below:

Answer:

29 feet

Step-by-step explanation:

35 - 6 = 29

The main desk is

29 feet above sea level

Answer:

1: below its initial height.

2: if Jimmy has 20 balls and Chris take 15,how many balls does Jimmy have?

3: I would want Mrbeast to be the President because he would help everyone.

The length of the rectangular  playground is 241.86 foot.

Given that area of rectangle is 19,500 sq.ft and length of rectangle is three times its width.The area for rectangle is given by formula: A=LW.

Now according to the given condition, L= 3W. Further we'll solve by putting L= 3W in the formula for rectangle.

A=LW

As given A= 19,500 sq.ft and considering L=3W,

19,500 = 3W*W

19,500 = 3W^2

∴ W^2 = 6500

∴ W = \(\sqrt{6500}\)

∴ W = 80.6225 ft. ≈ 80.62 ft.

Now putting the value W = 80.62 in equation L =3W,

L = 3* 80.62

L = 241.86 ft.

The length of the rectangular playground is 241.86 foot.

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Answer: 2+(-3/5) = 1.4

Step-by-step explanation: Remember work what is in the parentheses first!

Simplify the expression.

Exact Form: 7/4

Decimal Form: 1.4

Mixed Number Form: 1 2/5

Answer:

\(\frac{7}{5}\)

Step-by-step explanation:

Equation: \(2-\frac{3}{5}\)

1). Convert to fraction: \(\frac{2*5}{5}-\frac{3}{5}\)

2). Same denominators = combine fractions

\(\frac{(2*5)-3}{5}=\frac{7}{5}\)

Answer:

2x + y = 4

Step-by-step explanation:

2x + y = 9 => y = -2x + 9

Parallel lines have the same slope so m = -2

Given (-1,6)

y = mx + b

6 = -2(-1) + b

6 = 2 + b

b = 4

so y = -2x + 4 or 2x + y = 4

The probability that at least one sensor detects the pollutant is 0.9.The probability that either only S1 or only S2 detects the pollutant is 0.5.The probability that S1 does not detect the pollutant, and S2 detects the pollutant is 0.2.The probability that S2 fails to detect the pollutant is 0.3.

The event "at least one sensor detects the pollutant" refers to the scenario where either S1 or S2 (or both) detect the excessive pollution. This can be visualized as the union of the two events: S1 detecting the pollutant (event A) and S2 detecting the pollutant (event B). The probability of event A is 0.7, the probability of event B is 0.8, and the probability of both events A and B occurring together is 0.6. By applying the principle of inclusion-exclusion, we can calculate the probability of the union as P(A ∪ B) = P(A) + P(B) - P(A ∩ B) = 0.7 + 0.8 - 0.6 = 0.9.

The event "either only S1 or only S2 detects the pollutant" can be represented as the exclusive OR (XOR) of the two events: S1 detecting the pollutant without S2 detecting it (event A) and S2 detecting the pollutant without S1 detecting it (event B). Since the probabilities of events A and B are not explicitly given, we assume that they are equal. Let's denote this probability as p. Therefore, the probability of either event A or event B occurring is 2p. Given that the sum of probabilities of all possible outcomes is equal to 1, we have 2p + P(A ∩ B) = 1. We are also given that P(A ∩ B) = 0.6. Solving these equations simultaneously, we find that p = 0.2. Hence, the probability of the event "either only S1 or only S2 detects the pollutant" is 2p = 2 × 0.2 = 0.4.

The event "S1 does not detect, and S2 detects the pollutant" is the complement of S1 detecting the pollutant (event A) intersected with S2 detecting the pollutant (event B). The probability of event A is 1 - P(S1 detects) = 1 - 0.7 = 0.3. The probability of event B is P(S2 detects) = 0.8. The probability of both events A and B occurring together is given as P(A ∩ B) = 0.6. Therefore, the probability of the event "S1 does not detect, and S2 detects the pollutant" is P(A' ∩ B) = P(A ∩ B') = P(A) - P(A ∩ B) = 0.3 - 0.6 = 0.2.

The event "S2 fails to detect the pollutant" is the complement of S2 detecting the pollutant. Therefore, the probability of this event is 1 - P(S2 detects) = 1 - 0.8 = 0.2.

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The rigid transformations that maps ΔABC onto ΔFED by reflection then translation.

The correct option is (B).

Reflection is a from of transformation whereby a figure is flipped over a line of reflection, making both figures exactly the same shape and size after the transformation.

given:

ΔABC ≅ ΔFED are congruent by the SSS Congruence Theorem.

Hence, the rigid transformations that maps ΔABC onto ΔFED by reflection then translation.

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Answer:

B

Step-by-step explanation:

Trust me bro

Suppose the detector will sound the alarm if more than 2 milligrams of the dye are in your system. It will take 56 minutes for the visit of the doctor

The amount of radioactive dye remaining in your system after t minutes can be modeled as:

A(t) = 11 * (1/2)^(t/20)

where A(t) is the amount of dye remaining after t minutes. We want to find the time t when A(t) = 2 milligrams.

A(t) = 11 * (1/2)^(t/20) = 2

Solving for t:

(1/2)^(t/20) = 2/11

Taking the natural logarithm of both sides:

(t/20) = ln(2/11) / ln(1/2)

Multiplying both sides by 20:

t = 20 * ln(2/11) / ln(1/2)

Using a calculator or logarithm tables, we can estimate t to be approximately 56 minutes. So, your visit to the doctor would take about 56 minutes.

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Answer:

Step-by-step explanation:

14 × 2 = X

=> 28 = X (Ans)

Answer: X = 28

Step-by-step explanation:

14/50 = X/100

14 x 2 = 28

14/50 = 28/100

Answer:

yourcredit limit is 2000$

600$                     (600*100)/30=2000$

30%                       100%

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

600/30% makes a decimal so move the point 2 spaces and it is 20

Al-Khwarizmi made significant contributions to the world of mathematics, particularly in the field of algebra. His major accomplishment was the development of algebra as an independent mathematical discipline.

Al-Khwarizmi, a Persian mathematician and scholar, wrote the book titled "Kitab al-Jabr wal-Muqabala," which laid the foundation for modern algebra. In this influential work, he introduced systematic methods for solving linear and quadratic equations. Al-Khwarizmi's algebraic techniques, including the use of variables and equations, greatly advanced mathematical understanding and problem-solving. His work also contributed to the development of algorithms and mathematical notation, such as the concept of the "zero" and the decimal system. Overall, al-Khwarizmi's contributions revolutionized mathematics and had a profound impact on subsequent generations of mathematicians and scientists.

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b

こんにちは

mmmmmmmmnnnnnnnnnnnnnnnnnnnnnnn

AnswerAnswers in explaination

Step-by-step explanation

PART A ANSWER: equation 1) y=1155x+982 and 2) y+100x+1000 both have x model the number of years and y model the investment they made.

PART B answer: The two equations I solved for above

Part C: if she goes with the first plan and invest for 20 years she'll get 24082 dollars and if she invest in the second one she'll get 3000 dollars. As you can see there is a huge difference between the two