please help me answer this

The rounded off answers for the area of the rectangles are as follows: 1) 24,000, 2) 42,000, 3) 31,200, 4) 31,200.

Rounding of a number is a mathematical process of approximating a given number to a specified level of accuracy or precision. Rounding is done to make numbers easier to work with or to communicate, especially when the number has many decimal places or digits.

The process of rounding involves changing a number to a nearby value that is easier to use or communicate, while still retaining its approximate value. The number is rounded to a certain number of decimal places or significant digits, depending on the required level of accuracy.

1. 5 x 4751 ≈ 5 x 4800 = 24,000.

To check the answer, we can estimate 4751 as 4800, and then multiply 5 by 4800 to get the approximate product of 24,000.

2. 7 x 6000 = 42,000.

To check the answer, we can simply multiply 7 by 6000 to get the product of 42,000.

3. 6 x 5214 ≈ 6 x 5200 = 31,200.

To check the answer, we can estimate 5214 as 5200, and then multiply 6 by 5200 to get the approximate product of 31,200.

4. 8 x 3867 ≈ 8 x 3900 = 31,200.

To check the answer, we can estimate 3867 as 3900, and then multiply 8 by 3900 to get the approximate product of 31,200.

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The following are the scaled off results for the rectangles' area:: 1) 24,000, 2) 42,000, 3) 31,200, 4) 31,200.

The mathematical process of approximating a given number to a predetermined degree of accuracy or precision is known as rounding. In particular when a number has numerous decimal points or digits, rounding is done to make numbers simpler to work with or communicate.

In order to make a number simpler to use or communicate, a number is rounded to a more manageable value while retaining its general meaning.

Depending on the necessary level of accuracy, the number is rounded to a particular number of significant digits or decimal places.

1. 5 x 4751 ≈ 5 x 4800 = 24,000.

To verify the result, we can convert 4751 to 4800, then increase 5 by 4800 to obtain a result that is roughly 20,000.

2. 7 x 6000 = 42,000.

We can quickly multiply 7 by 6000 to obtain the result of 42,000 to verify the solution.

3. 6 x 5214 ≈ 6 x 5200 = 31,200.

By converting 5214 to 5200 and multiplying that number by 6, we can approximate the solution to be 31,200.

4. 8 x 3867 ≈ 8 x 3900 = 31,200.

To verify the solution, we can convert 3867 to 3900 and multiply 8 by 3900 to obtain a result that is roughly 31,200.

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Answer:

D. Omar's transaction involves more money, because |-15| is greater than |10|.

Step-by-step explanation:

The absolute value of a number is simply the magnitude or numerical value of a number while ignoring any sign attached to it. For example, given that x is a real number, absolute value of x, |x| = x. The absolute value of x does not take account of any sign attached to it.

Thus:

The absolute value of Omar's transaction is given as |-15| = 15.

While that of Jake is |10| = 10.

15 is greater than 10.

Therefore, we can conclude that:

"Omar's transaction involves more money, because |-15| is greater than |10|."

Answer:

The answer is D

Step-by-step explanation:

The simplified solution of the expression 5x²+6x+4+x²+x is 6x²+7x+4.

The given expression is 5x²+6x+4+x²+x

Simplifying the given expression

5x²+6x+4+x²+x

Firstly, put the similar terms together

5x²+x²+6x+x+4

Adding the similar terms

6x²+7x+4

∵ The expression cannot be solved further, 6x²+7x+4 is the final solution.

Therefore, the simplified solution of the expression 5x²+6x+4+x²+x is 6x²+7x+4.

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Answer:

no because these "imaginary numbers" can have the same value as 2 real numbers that add up to a real number. Example:7 3+4=7    x+y (Algebra so not real numbers)= infinite possibilities

Step-by-step explanation:

Answer:

-4-i2

The absolute value is the Square root of the real and Imaginary Parts of the Complex No

= √(-4)²+(-2)²

=√16+4

=√20

=2√5

The angle z is in the third quadrant, the value of cosz is negative. Hence, cosz = -3/5.So, the value of cosz is -3/5.

Given sinz = -4/5 for pi < z < (3pi)/2, we need to find the value of cosz. We can use the trigonometric identity of Pythagorean theorem to find the value of cosz.

According to Pythagorean theorem, sin2θ + cos2θ = 1, where θ is the angle in the right-angled triangle and sin, cos are the trigonometric ratios.

The negative sign for the given sinz indicates that the angle z is in the third quadrant. So, we can take the help of the unit circle to find the value of cosz as shown below:

Here, we have used the Pythagorean identity of sin2z + cos2z = 1 on the unit circle to find the value of cosz. Since the value of sinz is already given, we can find the value of sin2z as: sin2z = sinz x sinz = (-4/5) x (-4/5) = 16/25

Then, we can substitute the value of sin2z in the Pythagorean identity as: cos2z = 1 - sin2z = 1 - (16/25) = 9/25We need to find the value of cosz.

So, we can take the square root of cos2z as: cosz = ±(√(9/25)) = ±(3/5)The sign of cosz can be determined by considering the quadrant of the angle z.

Since the angle z is in the third quadrant, the value of cosz is negative. Hence, cosz = -3/5.So, the value of cosz is -3/5.

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Answer:

x=28

Step-by-step explanation:

sum of all angles im a triangle = 180°

(2x+5) + (4x+10) + (x-31) = 180

7x=196

x=28

Answer:

x = 28°

Step-by-step explanation:

Sum of a triangle is equal to 180°. Firstly you need to form an equation. Add all the angles which equals to 180°.

2x + 5 + 4x + 10 + x - 31 = 180°

Now simply and find the value of x. Add all the x terms and whole numbers.

7x + 5 + 10 - 31 = 180°

7x + 15 - 31 = 180°

7x - 16 = 180°

7x = 180° + 16

7x = 196

x = 196 ÷ 7

x = 28°

So the angles are:

Angle A = 2x + 5

2 x 28 + 5 = 61°

Angle B = 4x + 10

4 x 28 + 10 = 122°

Angle C = x - 31

28 - 31 = -3°

Answer:

\(2.375\,\,miles\)

Step-by-step explanation:

Given: Length of a hiking trail is \(3\frac{4}{5}\,\,miles\)

Terence travels \(\frac{5}{8}\) of the length of a hiking trail

To find: Distance travelled by Terence

Solution:

Whole numbers refer to natural numbers together with 0.

A fraction represents a part of a whole.

A whole number and a fraction combined into mixed fraction.

Distance travelled by Terence = \(\frac{5}{8}(3\frac{4}{5})=\frac{5}{8}(\frac{19}{5})=\frac{19}{5}=2.375\,\,miles\)

The expression that will represent the volume of the identical rectangular base pyramid is: 2[One-third (5) (0.25) (2)] cubic units.

To calculate for the volume of a rectangular base pyramid, we use the formula:

volume = 1/3 × area of base rectangle × height

volume of one identical pyramid = (1/3 × 5 × 0.5 × 2)cubic units

volume of the two identical pyramid = 2(1/3 × 5 × 0.5 × 2)cubic units.

Therefore, the expression that will represent the volume of the identical rectangular base pyramid is: 2[One-third (5) (0.25) (2)] cubic units.

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Required area = 9× 5 + 6×3

= 45+18

= 63

Answer:

\(\boldsymbol{ (a , b , c ) = (0,-4,4)}\)

Step-by-step explanation:

We would like to solve the following system of equations ,

\(\begin{cases} 2a + b + c = 0\\2b + c + a = -4 \\ 2c + a + b = 4 \end{cases}\)

Firstly lets number the equations as ,

\(\begin{cases} 2a + b + c = 0 \dots (i)\\2b + c + a = -4 \dots (ii)\\ 2c + a + b = 4 \dots (iii)\end{cases}\)

Again , we can rewrite the first equation as , equations as ;

\(\longrightarrow c = -2a - b \dots (iv) \\ \)

Now , substitute the value of equation (iv) in equation (ii) and (iii) .

\(\longrightarrow 2b + c + a = -4 \\ \)

\(\longrightarrow 2b + (-2a - b) + a = -4\\\)

\(\longrightarrow 2b - 2a - b + a = -4\\\)

\(\longrightarrow (2b - b )+ (a - 2a) = -4\\\)

\(\longrightarrow b - a = -4 \dots (v) \)

And ,

\(\longrightarrow 2(-2a - b ) + a + b = 4\\ \)

\(\longrightarrow -4a - 2b + a + b = 4\\\)

\(\longrightarrow (-4a + a )+(-2b + b) =4\\\)

\(\longrightarrow -3a - b = 4 \dots (vi) \)

Now consider ,

\(\begin{cases}b - a =-4\\ -3a - b =4\end{cases}\)

On adding these two equations, we have ;

\(\longrightarrow b - a -3a - b = -4+4\\\)

\(\longrightarrow -4a =0\\\)

\(\longrightarrow \underline{\underline{\boldsymbol{ a = 0}}}{}\)

Now substitute this value in equation (v) ,

\(\longrightarrow b - 0= -4\\ \)

\(\longrightarrow \underline{\underline{\boldsymbol{ b = -4}}}{}\)

Finally substitute the values of a and b in equation (iv) , we have ;

\(\longrightarrow c = -2a - b \\ \)

\(\longrightarrow c = -2(0)-(-4) \\ \)

\(\longrightarrow c = 0+4\\ \)

\(\longrightarrow \underline{\underline{\boldsymbol{ c = 4 }}}{}\)

And we are done !

Answer:

⠀

Step-by-step explanation:

⠀

\({\longrightarrow{\qquad \sf \ 2a + b + c = 0\: \dashrightarrow \sf \: (i)}}\)

\({\longrightarrow{\qquad \sf \ 2b + c + a = - 4\dashrightarrow \sf \: (ii)}}\)

\({\longrightarrow{\qquad \sf \ 2c + a + b = 4\: \dashrightarrow \sf \: (iii)}}\)

⠀

Adding equation (i), (ii) and (iii) :

\({\longrightarrow{\qquad \sf \ 2a + b + c + (2b + c + a) + (2c + a + b)= 0 + ( - 4) + 4}}\)

\({\longrightarrow{\qquad \sf \ 3a + 3b + 3c= 0 }}\)

\({\longrightarrow{\qquad \sf \ 3(a + b + c)= 0 }}\)

\({\longrightarrow{\qquad \sf \ a + b + c= 0 \: \dashrightarrow \: (iv)}}\)

⠀

Now, (i) – (ii) :

\({\longrightarrow{\qquad \sf 2a + b + c - (2b + c + a) = 0 - ( - 4)\: }}\)

\({\longrightarrow{\qquad \sf 2a + b + c - 2b - c - a = 0 + 4\: }}\)

\({\longrightarrow{\qquad \sf \: a - b= 4\:\dashrightarrow \: (v) }}\)

⠀

Again, (i) – (iii) :

\({\longrightarrow{\qquad \sf 2a + b + c - (2c + a + b) = 0 - 4\: }}\)

\({\longrightarrow{\qquad \sf 2a + b + c - 2c - a - b = - 4\: }}\)

\({\longrightarrow{\qquad \sf \: a - c= - 4\:\dashrightarrow \: (vi) }}\)

⠀

Now, (v) + (vi) :

\({\longrightarrow{\qquad \sf \: a - b + (a + c)= 4 - 4\:}}\)

\({\longrightarrow{\qquad \sf \: 2a - b - c= 0\:\dashrightarrow \: (vii)}}\)

⠀

Now, (iv) + (vii) :

\({\longrightarrow{\qquad \sf \ a + b + c + (2a - b - c)= 0 + 0}} \:\)

\({\longrightarrow{\qquad \sf \ 3a= 0}} \:\)

\({\longrightarrow{\qquad \bf \ a= 0}} \:\)

⠀

Now, substituting the value of a in equation (v) :

\({\longrightarrow{\qquad \sf \: a - b= 4\:}}\)

\({\longrightarrow{\qquad \sf \: 0 - b= 4\:}}\)

\({\longrightarrow{\qquad \bf \: b= - 4\: }}\)

⠀

Now, substituting the value of a in equation (vi) :

\({\longrightarrow{\qquad \sf \: a - c= - 4\:}}\)

\({\longrightarrow{\qquad \sf \: 0 - c= - 4\:}}\)

\({\longrightarrow{\qquad \bf \: c= 4\:}}\)

Answer:possibly any number multiplied by 0 is always gonna be 0

Step-by-step explanation: so yes depending I’m only in 5th so yeah sorry if it’s wrong

Answer:

\(B = 69\)

Step-by-step explanation:

Given

\(A = 2x +27\)

\(B = x +27\)

Required

Determine B

First, we need to solve for x

Since both angles are supplementary, then

\(A + B = 180\)

Substitute values for A and B

\(2x + 27 + x + 27 = 180\)

Collect Like Terms

\(2x + x = 180 - 27 - 27\)

\(3x= 126\)

Divide through by 3

\(x = 42\)

Recall that:

\(B = x +27\)

Substitute 42 for x

\(B = 42 + 27\)

\(B = 69\)

Step-by-step explanation:

For the ten burrito special deal he will pay

6×14=$84

For the six burrito pack he will pay:

10×8.50=$85

Therefore he should buy 6 packages of 10-burrito special.

It will save him $1

Answer:

Noah should buy 6 packages of the 10-burrito special, because it will save him $1.00.

Step-by-step explanation:

10*6=60

6*14= 84

6*10=60

8.50*10= 85

$85.00 is greater than $84.00, therefore Noah should buy 6 packages of the 10-burrito special, because it will save him $1.00.

Answer:

A.

Step-by-step explanation:

Hello,

g(x-4)=f(x) so the graph of g is the graph of f shifted 4 units to the left.

For any x, the point (x-4, g(x-4)) is 4 units to the left of the point (x,f(x)).

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

A

Step-by-step explanation:

:) i just took the test and it was right

The equation of the perpendicular line passing through (0, -1) is y = -9x - 1.

To find the equation of a line that is perpendicular to the given line y = (1/9)x + 2 and passes through the point (0, -1), we can use the fact that perpendicular lines have slopes that are negative reciprocals of each other.

The given line has a slope of 1/9. To find the slope of the perpendicular line, we take the negative reciprocal of 1/9, which is -9.

Using the slope-intercept form of a linear equation, y = mx + b, where m represents the slope and b represents the y-intercept, we can substitute the slope and the coordinates of the given point (0, -1) into the equation.

y = -9x + b

Since the line passes through the point (0, -1), we can substitute the x-coordinate as 0 and the y-coordinate as -1 into the equation:

-1 = -9(0) + b

-1 = b

Therefore, the y-intercept (b) of the perpendicular line is -1.

Putting it all together, the equation of the line that passes through (0, -1) and is perpendicular to y = (1/9)x + 2 is:

y = -9x - 1

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Answer:

Step-by-step explanation:

recall that perpendicular lines have slopes that are opposite reciprocals. if u don't know what opposite reciprocals are, according to study.com they are, "The term opposite reciprocals refers to two numbers that have opposite signs and are flipped fractions of each other." for example, 1/2 and -2 are opposite reciprocals.

also recall that the formula to find the slope of a line is m=y2-y1/x2-x1

to solve this problem, we need to go through all of the options and find the slope of that line using the given point and point (0,4). After that, we need to check if that slope is equal to 1. One is the opposite reciprocal of -1, and -1 is the slope of the equation y= -x+4. if the slope is equal to 1, the line will be perpendicular to the line y= -x+4.

lets do the math now:

option a)

m=y2-y1/x2-x1

m=12-4/6-0

m=8/6

m=4/3

this line isnt perpendicular to y= -x +4 cuz the slope is 4/3, which isnt equal to 1

option b)

m=y2-y1/x2-x1

m=0-4/6-0

m=-4/6

m= -2/3

this line isnt perpendicular to y= -x +4 cuz the slope is -2/3, which isnt equal to 1

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

ok girl i dont wanna do all the rest of the calculations. just keep doing the same thing with all the other options until you find something that has a slope of 1.

toodles! :)

Answer:

yep that is totally true

Answer: 12 x 12 +144

Step-by-step explanation:

\(\\ \sf\longmapsto xy=7\)

\(\\ \sf\longmapsto y=\dfrac{7}{x}\)

Hence

.\(\\ \sf\longmapsto y\propto \dfrac{1}{x}\)

Inverse variation

Answer:

18 Bowls of Candy

Step-by-step explanation:

Camila has 6 bags of candy, and she can pour 1/3 of a bag into a bowl. To determine how many bowls of candy she can make in total, we need to divide the total amount of candy by the amount of candy per bowl.

Since Camila can pour 1/3 of a bag into a bowl, it means she can make 3 bowls of candy with a full bag.

Now, we can calculate the total number of bowls of candy:

Total bowls of candy = (Number of bags) x (Bowls per bag)

Total bowls of candy = 6 bags x 3 bowls per bag

Total bowls of candy = 18 bowls

Therefore, Camila can make a total of 18 bowls of candy with her 6 bags of candy.

Answer:

8/7=y/11 will give you 13

Step-by-step explanation:

7y=8×11

7y=88

y/7=88/7

y=88/7

y=12.57

y=13

Answer:

Step-by-step explanation:

secθ = 17/15

Answer:

A) intersecting, 1 solution

B) Same Line, infinite number of solutions.

Answer:

The calculated χ² =  17.0281    falls in the critical region χ² ≥  9.49  so we reject the null hypothesis that  the quality of management and the reputation of the company are independent and conclude quality of management and the reputation of the company are dependent

The p-value is 0 .001909. The result is significant at p < 0.05

Part b:

40 > 8.5

35> 7.5

25> 4

Step-by-step explanation:

1) Let the null and alternative hypothesis as

H0: the quality of management and the reputation of the company are independent

against the claim

Ha: the quality of management and the reputation of the company are dependent

2) The significance level alpha is set at 0.05

3) The test statistic under H0 is

χ²= ∑ (o - e)²/ e where O is the observed and e is the expected frequency

which has an approximate chi square distribution with ( 3-1) (3-1)=  4 d.f

4) Computations:

Under H0 ,

Observed       Expected E              χ²= ∑(O-e)²/e

40                      35.00                          0.71

25                      24.50                         0.01

5                         10.50                         2.88  

35                      40.00                         0.62

35                      28.0                          1.75

10                       12.00                           0.33  

25                      25.00                             0.00

10                        17.50                              3.21

15                       7.50                                 7.50  

∑                                                               17.0281

Column Totals 100 70 30   200  (Grand Total)

5) The critical region is χ² ≥ χ² (0.05)2 = 9.49

6) Conclusion:

The calculated χ² =  17.0281    falls in the critical region χ² ≥  9.49  so we reject the null hypothesis that  the quality of management and the reputation of the company are independent and conclude quality of management and the reputation of the company are dependent.

7) The p-value is 0 .001909. The result is significant at p < 0.05

The p- values tells that the variables are dependent.

Part b:

If we take the excellent row total = 70 and compare it with the excellent column total= 100

If we take the good row total = 70 and compare it with the good column total= 80

If we take the fair row total = 50 and compare it with the fair column total= 30

The two attributes are said to be associated if

Thus we see that ( where (A)(B) are row and columns totals and AB are the cell contents)

AB> (A)(B)/N  

40 > 1700/200

40 > 8.5

35> 1500/200

35> 7.5

25> 800/200

25> 4

and so on.

Hence they are positively associated

The mathematical sentences that can be found in the sentence are:

A mathematical sentence  can be described as the statement that comprises the  two expressions nor more than two expression.

It should be noted that these two expressions  can make use of the  numbers as well as the variables and in some of the cases combination of them however the  mathematical sentence do encompass the symbols  which could be inform of equals, greater than, as well as  less than.

Therefore, the options that are examples of mathematical sentences are option B C D E F.

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The mathematical sentences which can be found in the sentence are;

B. r + 7 = 4, C. 5g = 9, D. 4x, E. 8r = 12 and F. x = 1

A mathematical sentence can be described as a statement that comprises two expressions or more than two expressions.

Expression can be defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Remember that these two expressions can make use of the numbers as well as the variables and in some cases a combination of them however the mathematical sentence does encompass the symbols which could be in form of equals, greater than, as well as less than.

Hence, the options that are examples of mathematical sentences are ; B. r + 7 = 4, C. 5g = 9, D. 4x, E. 8r = 12 and F. x = 1

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