Classify each number as rational or irrational:
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Answer:

250

Step-by-step explanation:

Take 56 away from 306

306 - 56

=250

Answer:

[tex] \large \bf \implies{(6,10)}[/tex]

Step 1) : Solve the inequality

[tex] \bf \longrightarrow{8 \leqslant 2m - 4 < 16}[/tex]

Separate compound inequalities into system of inequalities

[tex] \begin{cases}2m - 4 \geqslant 8 \\2m - 4 < 16\end{cases}[/tex]

[tex]1) \: \: \: \: \: \large\boxed{ \tt2m - 4 \geqslant 8}[/tex]

[tex] \bf \longrightarrow2m \geqslant 8 + 4[/tex]

[tex] \bf \longrightarrow2m \geqslant 12[/tex]

[tex]\bf \longrightarrow \: m \geqslant \frac{12}{2} [/tex]

[tex]\bf \longrightarrow \: m \geqslant 6[/tex]

[tex]2) \: \: \: \: \: \large \boxed{ \sf2m - 4 < 16}[/tex]

[tex]\bf \longrightarrow2m < 16 + 4[/tex]

[tex]\bf \longrightarrow2m < 20[/tex]

[tex]\bf \longrightarrow \: m < \frac{20}{2} [/tex]

[tex]\bf \longrightarrow \: m < 10[/tex]

[tex] \pink{ \rule{7cm}{0cm}}[/tex]

[tex]\bf \longrightarrow \: m \geqslant 6 \: and \: m < 10[/tex]

[tex]\bf \longrightarrow \boxed{ \sf6 \leqslant m < 10}[/tex]

Step 2) : Graph on a number line attached above

Step 3) : Express solution set in interval notation

[tex]\bf \longrightarrow {\boxed {\underline {\underline{{( \bold{6,10)}}}}}}[/tex]

Based on the given task content; the value of v from the points (5,6) and (6,v) which has a slope of –9 is -3

Slope refers the change in y over the change in x.

Slope = Change in y / Change in x

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given the data in the question;

Slope m = -9

Point 1( 5, 6 )

x₁ = 5

y₁ = 6

Point 2( 6,v )

x₂ = 6

y₂ = v

Substitute the given values into the formula and solve for v.

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )-9

= ( v - 6 ) / ( 6 - 5 )-9

= ( v - 6 ) / ( 1 )

-9( 1 ) = ( v - 6 )

-9 = v - 6

v = -9 + 6

v = -3

Therefore, the value of v from the points (5,6) and (6,v) which has a slope of –9 is -3

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The numerical value of v in the coordinates of a line that passes through (5,6) and (6,v) with a slope of –9 is -3

Slope is simply the change in y over the change in x.

Slope = Change in y / Change in x

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given the data in the question;

Slope m = -9

Point 1( 5, 6 )

Point 2( 6,v )

Plug the given values into the slope formula and solve for v.

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

-9 = ( v - 6 ) / ( 6 - 5 )

-9 = ( v - 6 ) / ( 1 )

Cross multiply

-9( 1 ) = ( v - 6 )

-9 = v - 6

v = -9 + 6

v = -3

Given the slope and coordinates of the two points of the line, the numerical value of v is -3.

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KL = LM                         To find the measures of KL

8x-5 = 6x+3                

-6x      -6x                               8(4) - 5

___    ___                                32 - 5

2x - 5 = 3                                   27

   +5    +5

   __    __                        To find the measure of LM

2x = 8                                        6(4) + 3

---   ---                                         24 + 3

x = 4                                               27

Answer:

Kinetic energy = 2500 J

Step-by-step explanation:

To calculate the kinetic energy of an object, we can use the following formula:

[tex]\boxed{E_k = \frac{1}{2}mv^2}[/tex],

where:

[tex]E_k[/tex] = kinetic energy

m = mass of the object

v = speed of the object

In this question, we are told that Carlo's mass is 50 kg and his speed is 10 m/s. Using this information and the formula above, we can calculate Carlo's kinetic energy:

[tex]E_k = \frac{1}{2} \times 50 \times (10)^2[/tex]

     [tex]= \frac{1}{2} \times 50 \times 100[/tex]

     [tex]= \bf 2500 \: J[/tex]

Therefore, Carlo's kinetic energy is 2500 J.

Answer:

See below

Step-by-step explanation:

Lindsey height = 190 + 130 m       ( m = minutes)

Eduardo height = 240 m

Equate them

190 + 130 m  = 240 m

190 = 110 m

190/ 110 =  1  8/11 minutes  after Eduardo starts

The correct was done by Jason

Geometric construction is a process of constructing geometric figures using geometric tools such as a straightedge (ruler), a compass, and a pencil.

Given:

We have some sequence to construct an equilateral triangle

So, Jason are more relatable in constructing an equilateral triangle.

1. Use a compass to draw circle O

2. Use a straightedge to draw a diameter of the circle. Label the endpoints P and S.

3. Without changing the compass width draw a full circle centered at S

4. Label the points of intersection of the two circles R and Q

5. Use a straightedge to draw segments joining points P, Q, and R to form the equilateral triangle PQR.

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[tex]\begin{array}{llll} \textit{logarithm of factors} \\\\ \log_a(xy)\implies \log_a(x)+\log_a(y) \end{array} ~\hspace{4em} \begin{array}{llll} \textit{Logarithm of exponentials} \\\\ \log_a\left( x^b \right)\implies b\cdot \log_a(x) \end{array} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\cfrac{\log(2)}{2}+\cfrac{\log(4)}{3}\implies \cfrac{1}{2}\log(2)+\cfrac{1}{3}\log(4)\implies \log(2^{\frac{1}{2}})+\log(4^{\frac{1}{3}}) \\\\\\ \log(2^{\frac{1}{2}})+\log( ~~ (2^2)^{\frac{1}{3}} ~~ )\implies \log(2^{\frac{1}{2}})+\log(2^{\frac{2}{3}})\implies \log( ~~ 2^{\frac{1}{2}}\cdot 2^{\frac{2}{3}}~~) \\\\\\ \log( ~~ 2^{\frac{1}{2}+\frac{2}{3}} ~~ )\implies \log( ~~ 2^{\frac{3+4}{6}} ~~ )\implies \log (~~ 2^{\frac{7}{6}} ~~ )\implies {\LARGE \begin{array}{llll} \log(\sqrt[6]{128}) \end{array}}[/tex]

Answer:

1.954

Step-by-step explanation:

4 is the thousandth and we wouldn’t round up because of 1

Answer: 1.954

1.9541 is to low to round up to the thousandths so it needs to be rounded down, giving the answer 1.954.

Answer: A. 18.32

B. 20

C. 31.16

Step-by-step explanation:

2.29 times 8=18.32 dollars spent on goodie bags

160 divided by 8=20 dollars per hour

160+18.32=178.32

1209.48-178.32= 31.16 more than what was spent in parts a and b.

Answer:

0.0606060606 hope that's right if not I'm sorry

Answer:

Stop please. You use brainly for answering and asking questions.

Answer:

BD = [tex]\sqrt{82}[/tex]

Step-by-step explanation:

calculate BD using the distance formula

BD = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = B (- 4, 6 ) and (x₂, y₂ ) = D (- 3, - 3 )

BD = [tex]\sqrt{(-3-(-4))^2+(-3-6)^2}[/tex]

     = [tex]\sqrt{(-3+4)^2+(-9)^2}[/tex]

     = [tex]\sqrt{1^2+81}[/tex]

     = [tex]\sqrt{1+81}[/tex]

     = [tex]\sqrt{82}[/tex]

     ≈ 9.1 ( to 1 dec. place )

Answer:

9.055385 rounded to 6 decimal places

Step-by-step explanation:

The distance between 2 points in a 2_D Cartesian coordinate can be determined by the distance formula

[tex]d = \sqrt {(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2}[/tex]

where [tex](x_1, y_1) \mathrm{\;and\:} (x_2, y_2)[/tex] are the coordinates of the two points

This is also called Euclidean distance between the two points

Here coordinates of B are (-4, 6)  and those of D are (-3, -3)

So distance between them

[tex]d = \sqrt {(-3 - (-4))^2 + (-3 - 6)^2}[/tex]

[tex]= \sqrt {(1)^2 + (-9)^2}[/tex]

[tex]= \sqrt {{1} + {81}}[/tex]

[tex]= \sqrt {82}[/tex]

[tex]= 9.055385[/tex]  rounded to 6 decimal places

Two rational numbers between −7/2 and 4/3 are -20/6 and 7/6.

The two given rational numbers are −7/2 and 4/3.

A rational number is a number that is of the form p/q where p and q are integers and q is not equal to 0.

Now, two rational numbers between −7/2 and 4/3 can be found as follows:

Make denominators the same by taking the LCM of denominators.

LCM of 2 and 3 is 6.

Change denominators of both the rational numbers to 6 by multiplying the same number by numerator and denominator.

So, the rational numbers become −21/6 and 8/6.

Now, two rational numbers between −21/6 and 8/6 are -20/6 and 7/6.

Therefore, two rational numbers between −7/2 and 4/3 are -20/6 and 7/6.

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'x' in each expression is as follows:

So, the value of 'x' in each expression:

Therefore, 'x' in each expression is as follows:

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The nth term of the sequence is 2n + 1

The formula known as the nth term allows us to locate any term in a series. The letter n stands for number. By changing the term number's value, we can create a series that uses the nth term (n).

The sequence 3,5,7,9.....

n =1

3 = 1 + 2

3 = 1 + (2×1)

n = 2

5 = 1 + 4

5 = 1 + (2×2)

n = 3

7 = 1 + 6

5 = 1 + (2×3)

n = 4

9 = 1 + 8

9 = 1 + (2×4)

9 = 1 + 8

Therefore, the expression for the Nth is 1+ 2n or 2n + 1

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Answer:

Two and three

Step-by-step explanation:

The percentage of decay for the exponential function: y = 104(2.05) x is 105%.

This equation represents exponential decay. Whenever the base is less than 1, the function represents decay. When the base is greater than 1, the function represents growth. In this case, the base is 2.05 which is 1.05 than 1, representing growth.

The formula for exponential decay is y=a(1-r)x.

r is the decay rate, expressed as a decimal.

In this case, r = 2.05 - 1 = 1.05 which represents 105%.

Therefore, the percentage of decay for the exponential function is 105%.

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According to the question, to calculate the relationship function model of the given equations which are as follows:

[tex]x=13[/tex] and [tex]y=17[/tex]

And the condition is the function is inverse in nature that means they vary inversely. And it can be represented as:

Equation: [tex]y = \frac{k}{x}[/tex]

[tex]17 = \frac{k}{13}[/tex]

[tex]k = 221[/tex]

Substituting the values to get the final expression:

[tex]y = \frac{221}{x}[/tex]

[tex]xy = 221[/tex]

Substitute the value of 'k' in the original equation. And the final expression is: [tex]xy =221[/tex]

What is function?

In mathematics, function can be defined as an expression or the rule or the law. It defines the relationship between dependent variable and the independent variable.

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Answer:

the answer

Step-by-step explanation:

you got to write the answer in the blank boxes

The maximum occupancy of the commuter train is 568 passengers

The given parameters can be represented using the following table of values

                         1              2

Passenger       56            40

Cars                  8              3

The maximum occupancy of the commuter train is then calculated as

Maximum occupancy = Sum of (Passengers * Cars)

So, we have

Maximum occupancy = 56 * 8 + 40 * 3

Evaluate the products in the above equation

So, we have

Maximum occupancy = 448 + 120

Evaluate the sum in the above equation

So, we have

Maximum occupancy = 568

Hence, the maximum occupancy of the commuter train is 568 passengers

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Answer:$43.70

Step-by-step explanation:

120−54.67−13.49−8.14

=$43.70

Answer:

43.7

Step-by-step explanation:

120-54.67-13.49-8.14=43.7$

odd Answer:

make icecubes then drop them in hydrochloric acid

Step-by-step  Step-by-step  Step-by-step Step-by-step explanation

Answer:

(2, 1 )

Step-by-step explanation:

2x + 3y = 7 → (1)

3x + 2y = 8 → (2)

multiplying (1) by 3 and (2) by - 2 and adding will eliminate x

6x + 9y = 21 → (3)

- 6x - 4y = - 16 → (4)

add (3) and (4) term by term to eliminate x

0 + 5y = 5

5y = 5 ( divide both sides by 5 )

y = 1

substitute y = 1 into either of the 2 equations and solve for x

substituting into (1)

2x + 3(1) = 7

2x + 3 = 7 ( subtract 3 from both sides )

2x = 4 ( divide both sides by 2 )

x = 2

solution is (2, 1 )

Answer:

36

Step-by-step explanation:

36÷12=3

36÷18=2

Mackenzie can find the amount of flour used by using subtraction. She should subtract the flour left in the bag from 10 pounds.

Subtraction is one of the four basic mathematical operations.

It is used to calculate the amount left after a quantity is reduced.

When two variables are subtracted we use the following notation '-' .

Let us consider two variables x and y such that x is subtracted from y then mathematically it is denoted by y - x .

Mackenzie used some flour to bake bread. To calculate the amount she used from 10 pound bag , first she will have to find the amount of flour left in the bag.

Let a pounds of flour is left (a<10).

So to calculate the amount of flour used by her we simply subtract a from 10 pound.

Hence flour left is (10 - a) pounds.

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Answer:

Part A

Plan 1

33

Plan 2

0.05x+16

0.05x+16=33

0.05x=17

17/0.05=340

341 calls would be enough.

Part B

AN easy way of doing this is by setting the equations equal to each other and then adding a variable to one side that would be the amount of calls made on plan B. Once you get rid of the initial price of 16 dollars, then you have 17 dollars to be set equal to plan B. You divide 17 by 0.05, which gives you 340, meaning that to make both plans equal to each other, you would have to make 340 calls. To make Plan 1 more economical, you would have to add 1 more call to set plan 2 0.05 cents more than Plan 2.

Step-by-step explanation:

There are 256 ways to divide a red bracelet, a yellow bracelet, a green bracelet, and a black bracelet among $4$ people

Each of the different groups or selections can be formed by taking some or all of a number of objects, irrespective of their arrangments is called a combination.

We are given that for bracelet Yellow, green,black  and red

We need to find the number of ways in which

Each person receive any number of bracelet.

Number of peoples=4

If each person receive exactly one bracelet then , the number of ways= 4 x 3 x 2 x 1 = 24

If all bracelet received by one person and other have no bracelet 4 ways

If one person receive 2 bracelet and other two received by any other=

144 way.

If two person gets  two bracelet each and other two have no bracelet= 36 ways

Same, one person received three bracelet and one received by any of them =48 ways

So Total number of ways=24+4+144+48+36=256 ways

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