what is meant by rectangle in this context
wrong answers will be reported

Answer:

x= 12/5

Step-by-step explanation:

Distribute the fraction and solve for x.

Answer:

Option C) is correct......

The average exact answer is 801,863. Rounding each number all the way means that 417,459 is rounded to 400,000 and 384,404 is rounded to 400,000. 400,000 + 400,000 = 800,000, which is rounded to 801,863.

417,459 rounded to 400,000

384,404 rounded to 400,000

400,000 + 400,000 = 800,000

800,000 rounded to 801,863

Exact answer is 801,863

When rounding each number all the way, 417,459 is rounded down to 400,000 and 384,404 is rounded up to 400,000. When adding these two numbers, the exact answer is 801,863. This can be shown by step by step calculations. First, 417,459 is rounded to 400,000 and 384,404 is rounded to 400,000. Next, 400,000 + 400,000 equals 800,000. Finally, 800,000 is rounded up to 801,863, which is the exact answer. This demonstrates how rounding each number all the way and then adding them together can be used to estimate the exact answer without having to do any more complex calculations.

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The exponential function that can model the county population, y, x decades after Tiana was born, is:

\(y = 641000(0.99)^x\)

The population will fall below 600,000 in 6.6 decades after Tiana was born.

The definition of the exponential function is presented as follows:

\(y = a(b)^x\)

In which the parameters of the exponential function are presented as follows:

In the context of this problem, the values of these parameters are given as follows:

Hence the function is:

\(y = 641000(0.99)^x\)

The population will fall below 600,000 when y = 600000, hence:

\(y = 641000(0.99)^x\)

\(600000 = 641000(0.99)^x\)

\((0.99)^x = \frac{600000}{641000}\)

\(\log{(0.99)^x} = \log{\left(\frac{600000}{641000}\right)}\)

\(x\log{0.99} = \log{\left(\frac{600000}{641000}\right)}\)

\(x = \frac{\log{\left(\frac{600000}{641000}\right)}}{\log{0.99}}\)

x = 6.6 decades.

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Answer:

38 i think i hope this helps

Answer:

4x-9=3x+8

17

Step-by-step explanation:

The values into the slope-intercept form, we have y = -5x - 6

The slope-intercept form of a linear equation is given by:

y = mx + b

where 'm' represents the slope of the line, and 'b' represents the y-intercept.

In this case, the y-intercept is (0, -6), which means that the line crosses the y-axis at the point (0, -6).

The slope is given as -5.

Therefore, substituting the values into the slope-intercept form, we have:

y = -5x - 6

This equation represents the line with a y-intercept of (0, -6) and a slope of -5.

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Answer:

marks obtained /maximum marks × 100 = X%

Answer:

300

Step-by-step explanation:

Answer:

- 1 and 3

Step-by-step explanation:

Answer:

900 meters long

Step-by-step explanation:

Toby is riding his bicycle at 15 m/s. If it takes him 60 seconds to get to the end of the street. What was the length of the street?

at 15 meters per second for 60 seconds:

= time * speed

60* 15= 900 meters traveled,

so the street is 900 meters long.

To find the value of N, we need the future value of the retirement fund. If you provide the desired future value, I can calculate the exact value of N.

To find the value of N, we need to calculate the number of monthly deposits Sam made for his retirement fund over 20 years.

Sam deposited $1000 every month for 20 years, which is a total of 20 x 12 = 240 deposits. Each deposit has a compounded interest rate of 5% per year, compounded monthly.

The formula to calculate the future value of a series of monthly deposits is given by:

FV = P * [(1 + r)^n - 1] / r

Where:

FV is the future value of the investment,

P is the monthly deposit amount,

r is the monthly interest rate, and

n is the number of deposits.

In this case, P = $1000, r = 5% / 12 = 0.05 / 12 = 0.00417 (monthly interest rate), and FV is the value of the retirement fund after 20 years.

By rearranging the formula, we can solve for n:

n = log((FV * r) / (P * r + FV)) / log(1 + r)

Plugging in the values, we get:

n = log((FV * 0.00417) / (1000 * 0.00417 + FV)) / log(1 + 0.00417)

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The possible number of 3 -letter words that can be formed with given conditions.

(a) No condition is imposed: 343

(b) No letter can be repeated in a word: 210

(c) Each word must begin with the letter 'a' : 49  

(d) The letter 'c' must be at the end: 49

(e) The second letter must be a vowel: 98

In this question we have been given that 3 -letter words' are formed using the letters a, b, c, d, e, f, g.

We need to find the possible number of 3 -letter words that can be formed with given conditions.

(a) No condition is imposed.

the possible number of 3 letters words would be,

7³ = 343

(b) No letter can be repeated in a word.

Using the formula of Permutation,

^{7}P_3 = 7!/(7 - 3)!

             = 210    

(c) Each word must begin with the letter a.  

If each word begins with letter 'a' there would be possible combinations of remaining 6 letters at 2nd and 3rd position of 3-letter word.

So, the possible number of 3 letters words would be,

7² = 49  

(d) The letter c must be at the end.

If each word ends with letter c there would be possible combinations of remaining 6 letters at 1st and 2nd position of 3-letter word.

So, the possible number of 3 letters words would be,

7² = 49  

(e) The second letter must be a vowel.

In the 3 letter word, the second letter must be vowel which is either a or e.

So, the possible number of 3 letters words would be,

49 + 49 = 98

Therefore, the possible number of words would be (a) No condition is imposed: 343

(b) No letter can be repeated in a word: 210

(c) Each word must begin with the letter 'a' : 49  

(d) The letter 'c' must be at the end: 49

(e) The second letter must be a vowel: 98

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The complete question is:

3 -letter words'' are formed using the letters a, b, c, d, e, f, g. How many such words are possible for each of the following conditions?

(a) No condition is imposed.

(b) No letter can be repeated in a word.

(c) Each word must begin with the letter a.

(d) The letter c must be at the end.

(e) The second letter must be a vowel.

Answer:

The answer is given below

Step-by-step explanation:

a) Let u and v be real numbers. The sum of u and v = u + v and the difference between u and v = u - v.

u + v < u - v means the sum of two real numbers is less than the difference between the two numbers.

There exist two real numbers such that their sum is less than the difference between them

This is true when atleast one of the numbers is negative, for example u = 2 and v = -2

u + v = 2 + (-2) = 0 , u - v = 2 - (-2) = 4

u + v < u - v.

b) Let x be a real number and x² be the square of the real number

x² < x means that the square of a real number is less than the real number

We can rewrite the statement as: There exist a real number such that its square is smaller than itself.

The statement is true for x is between 0 and ±1

E.g. for x = 1/2, x² = (1/2)² = 1/4

1/4 < 1/2

c) Let n represent all positive integers. n² is the square of n.

n²≥n means that the square of n is greater or equal to n.

We can rewrite the statement as: For all positive integer numbers, the square of the number is greater than or equal to the number itself

The statement is true.

1² ≥ 1, 2² ≥ 2 e.t.c

d)  Let a and b be real numbers. The sum of a and b = a + b. |a| is the absolute value of a and |b| is the absolute value of b

|a+b|≤|a|+|b| means the absolute value of the sum of two real numbers is less than or equal to the sum of their individual absolute value.

We can rewrite the statement as: For two real numbers, the absolute value of their sum is less than or equal to their individual absolute value sum.

This statement is true for all real numbers.

Evaluating the expressions given using appropriate illustrations, all the statements are True.

Statement 1 :

Real numbers ar both rational and irrational values and hence can be tweaked using arithmetic operators such as addition. Hence, the Statement is True

Statement 2 :

Real numbers can be expressed or raised to the power of another number such as being squared.

Statement 3 :

The squared Value of all positive integers is always greater than or equal the value.

Statement 4 :

The absolute value of a sum is always less than or equal to the sum of the absolute values two numbers

a = 3 ; b = - 4

|a + b | = |3-4| ≤ |-3|+|4|

|-1| ≤ 3 + 4

-1 ≤ 7

Therefore, all the statements are true.

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Answer: 5

Step-by-step explanation:

Answer:

5^2 or 5 to the power of 2

Step-by-step explanation:

5x5=25

Answer:

-78/30 or -2 3/5

Step-by-step explanation:

4 1/6 - 3 3/5

25/6 - 18/5

30-108\30

= -78/30 or -2 3/5

Answer:

4 1

6

–

3 3

5

=

17

30

Step-by-step explanation:

4 1

6

–

3 3

5

=  (4 – 3) + (

1

6

–

3

5

)

=  1 +

1 × 5

6 × 5

–

3 × 6

5 × 6

=  1 +

5

30

–

18

30

=  1 +

5 – 18

30

=  1 +

-13

30

=  

17

30

Answer:

What do you mean?

Step-by-step explanation:

Answer:46

Step-by-step explanation:

traingle ABD = 53 + 24 + 47 + x = 180

134+x=180

x=180-134

x=46

Answer:

Length of DF = 3y + 9

Step-by-step explanation:

Given:

ΔABC is similar to ΔDEF

Line EF = 6y

Find:

Length of DF

Computation:

Given that  ΔABC is similar to ΔDEF

So,

Line BC similar to Line EF

Line BA similar to Line ED

Line AC similar to Line DF

Common factor = EF/BC

Common factor = 6y/2y

Common factor = 3

So,

Line AC similar to Line DF

So,

DF = 3[AC]

Length of DF = 3[y+3]

Length of DF = 3y + 9

Answer: 7x + 1

Step-by-step explanation:

(6x-4)+(x+5)

Step 1: Remove Parentheses:

              6x-4+x+5

Step 2: Combine Like Terms:

             7x +1

4 - 6x is linear equation .

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.

                                Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

What makes an equation linear?

A linear equation's graph almost always takes the shape of a straight line.

                Definition of a Linear Equation: Each term in a linear equation has an exponent of 1, and when this algebraic equation is graphed, it always produces a straight line. It is called a "linear equation" for this reason.

let the number be =x

        4 - 6x

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Answer:

0.531 s

Hope it helped u if yes mark me BRAINLIEST

Answer:

--------------------

The range of the given function has one restriction, its denominator can't be zero, hence:

Therefore the function can get any value but zero:

The matching answer choice is D.

Linear function is f(x) = mx + b.

Reciprocal of a function f(x)  is 1/f(x).

So the reciprocal of linear function has a form of f(x) = 1 / (mx + b).

The only answer choice in same form is D.

Substitute x = - 5/3 into function to get:

This is undefined value, therefore it represents the vertical asymptote.

The function gets close to - ∞ when x → - 5/3 from left and gets close to +∞ when x → - 5/3 from right (see attached graph).

Therefore the correct choice is B.

Answer:

Option e

Step-by-step explanation:

The type of test for this sticky is a two tailed test: (either up or down) from the severe storm class rating.

Thus, the null hypothesis would be that u is equal to 16.4 feet while the alternative hypothesis would be that u is not equal to 16.4 feet; and the p value area is on both sides of the mean since it is a two tailed test.

Based on the image attached, the solution for GE  is approximately 22.72.

To  be able to solve the equation √129 + √129 = GE, one need to simplify the  expression and then isolate GE.

Step 1: One can add the square roots:

Note that the equation:

√129 + √129 = GE.

Step 2:  Do put together the square root terms:

2√129 = GE.

Step 3:  Then Divide by 2:

√129 = GE/2.

Step 4: The Square both sides:

129 = (GE²)/4.

Step 5: So, Multiply by 4:

516 = GE².

Lastly, Take the square root:

√516 = √(GE²)

√516 = GE

GE = 22.72. approx.

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See text below



Step 26

Solve the equation for GE:

√129+√129 = GE

GE=2/129

Show steps

The measure of each angle in the regular polygon is 154.3 degrees

From the question, we have the following parameters that can be used in our computation:

Number of sides, n = 14

The measure of each angle is calculated as

Angle = ( n − 2 ) × 180/n

substitute the known values in the above equation, so, we have the following representation

Angle = (14 − 2) × 180/14

Evaluate

Angle = 154.3

Hence, the angle is 154.3

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Answer:

14/15

Step-by-step explanation:

You are adding fractions, so you need a common denominator.

The least common denominator (LCD) for 3 and 5 is 3 × 5 = 15.

Both denominators must become 15.

3/5 + 1/3 =

= 3/5 × 3/3 + 1/3 × 5/5

= 9/15 + 5/15

= 14/15

Answer: 14/15

The question gives us a package with a regular shape. This means that to calculate the volume of it we can just use the following formula:

where h, l, and w stand for height, length, and wide, respectively. And, because every size is already given, we can just substitute the values:

From the solution presented above, we are able to conclude that the volume of the given package is equal to 480 in³

The radius of the pen is given as follows:

28.03 feet.

The circumference of a circle of radius r is given by the multiplication of 2 by the number pi = 3.14 and the radius r, as follows, hence the equation is given as follows:

C = 6.28r.

For this problem, the circumference of the pen is given as follows:

C = 176 feet.

Hence the radius of the pen is obtained as follows:

176 = 6.28r

r = 176/6.28

r = 28.03 feet.

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