simplify 5^(-2)

PLEASE HURRY

Answer:

Option 3

Step-by-step explanation:

Given : Linear inequality [tex]2y>x-2[/tex]

To find : Which is the graph of linear inequality ?

Solution :

Linear inequality [tex]2y>x-2[/tex]

First we figure out the slopes and coordinates through which it pass.

The linear equation is  [tex]2y=x-2[/tex]

The general slope form of line is [tex]y=mx+c[/tex]

Where, m is the slope and c is the y-coordinate

Re-write the equation [tex]y=\frac{1}{2}x-1[/tex]

On compare,

Slope is positive [tex]m=\frac{1}{2}[/tex]

The y-coordinate is (0,-1)

For x-coordinate put y=0,

[tex]2(0)=x-2[/tex]

[tex]x=2[/tex]

The x-coordinate is (2,0).

Now, Plotting the linear inequality and mark the point (-4,-3).

Refer the attached figure below.

We get, On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 4, negative 3), (0, negative 1), and (2, 0). Everything to the left of the line is shaded.

Therefore, Option 3 is correct.

Final answer:

The correct graph of the linear inequality 2y > x - 2 will be represented by a dashed line with a positive slope, where the shaded area is above the line representing all points where y is greater than 0.5x - 1. Thus, option 3 is correct.

Explanation:

The graph of the linear inequality 2y > x – 2 must be represented by a dashed line because the inequality is strict (does not include the line itself). First, we should identify whether the line is dashed or solid and the slope of the boundary line from the equation. Since it is a 'greater than' and not 'greater than or equal to' inequality, the line will be dashed. Now let's rearrange the inequality to the slope-intercept form, which is y = mx + b, to find the slope and y-intercept:

2y > x – 2

y > 0.5x - 1

Here, the slope (m) is positive, which is 0.5, and the y-intercept (b) is -1. Therefore, the line rises by 0.5 on the y-axis for every increase of 1 on the x-axis. The y-intercept tells us the line will cross the y-axis at (0, -1). Hence, the line will have a positive slope, and the shaded region should be above the dashed line indicating all points where the y-values are greater than those on the line.

Answer:

112

Step-by-step explanation:

The number is 112 if Five-eighths of a number decreased by twelve is the same as one-half of the number increased by two the answer is 112.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

Five-eighths of a number decreased by twelve is the same as one-half of the number increased by two.

Let x be the number:

From the question:

(5/8)x - 12 = (1/2)x + 2

The above equation is a linear equation in one variable:

After solving:

(5/8)x - (1/2)x =  12 + 2

(5-4)x/8 = 14

x = 14×8

x = 112

Thus, the number is 112 if Five-eighths of a number decreased by twelve is the same as one-half of the number increased by two the answer is 112.

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Answer:

Step-by-step explanation:756/100

Answer:

756/100

189/25 (simplest form)

7 14/25 ( mixed number)

Step-by-step explanation:

To write 7.56 as a fraction you have to write 7.56 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

7.56 = 7.56/1 = 75.6/10 = 756/100

Answer:

See explanation

Step-by-step explanation:

Let x be the number of hours per week Nando is brisk walking  and y be the number of hours per week Nando is  biking at a moderate pace.

For the first month, he needs to exercise at most five hours per week, then

[tex]x+y\le 5[/tex]

Brisk walking burns about 350 calories per hour, then it burns 350x calories per x hours.

Biking at a moderate pace burns about 700 calories per hour, then it burns 700y calories per y hours.

Nando must burn at least 2,000 calories per week, so

[tex]350x+700y\ge 2,000[/tex]

You get the system of two inequalities:

[tex]\left\{\begin{array}{l}x+y\le 5\\ 350x+700y\ge 2,000\end{array}\right.[/tex]

The attached graph shows the solution set to this system of inequalities. In this diagram, red region represents the solution set to the first inequality, blue region represents the solution set to the second inequality and their intersection is the solution set to the system of two inequalities.

[tex]\frac{-12}{-4}[/tex] is 3.

Answer:

-12/-4 is 3

Step-by-step explanation:

hope this helps !!

Answer:

x=-3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3(x−6)+6=5x−6

(3)(x)+(3)(−6)+6=5x+−6(Distribute)

3x+−18+6=5x+−6

(3x)+(−18+6)=5x−6(Combine Like Terms)

3x+−12=5x−6

3x−12=5x−6

Step 2: Subtract 5x from both sides.

3x−12−5x=5x−6−5x

−2x−12=−6

Step 3: Add 12 to both sides.

−2x−12+12=−6+12

−2x=6

Step 4: Divide both sides by -2.

−2x

−2

=

6

−2

x=−3

Answer: x = -3

Step-by-step explanation:

1. Distribute the 3 into the parenthesis

     3x - 18 + 6 = 5x - 6

2. Combine like terms (on the left side of the equation

    3x - 12 = 5x - 6

3. Add 6 to both sides to get rid of the -6 on the right side

    3x - 6 = 5x

4. Subtract 3x from both sides to get rid of the 3x from the left side

    -6 = 2x

5. Divide both sides by 2

    -3 = x    

b.3/5

c.three

d.three

1        3

-   *    -

5       5

the reason the bottom is 5 is bc its was a number

Answer:

17720 feet

Step-by-step explanation:

5.4 km × (1 mile / 1.609 km) × (5280 feet / mile) ≈ 17720 feet

Answer:

17,720.32

Step-by-step explanation:

Divide 5.4 by 1.609 x 5,280 = 17,720.32

Answer:

20

Step-by-step explanation:

2x^2-y

x = 3 and y = -2

So then we have 2*3^2--2 which equals 20.

The solution to the algebraic expression 2x² - y for  x= 3 and y=-2. is: 22

An algebraic expression in mathematics is defined as an expression which is made up of variables and constants, along with algebraic operations

We are given the algebraic expression as:

2x² - y for  x= 3 and y=-2.

Thus, plugging in 3 for x and -2 for y in the given equation and we have:

2(3)² - (-2)

= (2 * 9) + 4

= 18 + 4

= 22

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Answer:

3.5

Step-by-step explanation:

15 - 8 = 7

7 / 2 = 3.5

Answer:

4 units by 5 units

Step-by-step explanation:

To solve this problem, then we must develop two equations; one for the perimeter and another for the area of the rectangle.

The perimeter of a rectangle = 2(L +B)

The area of a rectangle = L x B

Let the length be represented by L while the breadth is denoted by B. Then, our equations are

         2L + 2B =18  ---  eq 1

and  

          LB = 20  ----- eq 2

From eq 2, then  L = 20/B

We shall substitute this in equation 1 such that

2(20/B) + 2B =18

= 40/B + 2B = 18

= 40/B + 2B/1 = (40 + 2B^2) /B =18

We do cross multiplication by multiplying both sides of the equation by B.

We get

 40 + 2B^2 = 18B

We then rearrange the equation as   2B^2- 18B + 40 = 0

Dividing both sides by 2, we get B^2- 9B =20 =0

We shall get the roots of the equation to be -4 and -5. Why?  

-4B-5B =-9  and -4x-5 =20

Thus, B^2- 9B =20 =0 can be reworked as  

(B-4) (B-5)= 0   From B-4=0, B= 4

                   From LB =20, If B =4, then L =20/4 = 5

                           From B-5=0; B=5

                  From LB =20, If B=5, L = 20/5 = 4

Thus, the dimensions of the rectangle are 5 units and 4 units.

Answer:

Picture is the answer.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The simplified version of 127/30 is 4 7/30 (mixed number)

127/30 is basically 127 divided by 30, so if you divide 127 by 30, you get 4 and a remainder of 7. WAIT! That's not where I stop. The quotient is the whole number, the remainder is the numerator, and the divisor is the denominator. Therefore, the simplified version of 127/30 is 4 7/30.

Answer:

4  7/30

Step-by-step explanation:

This is an improper fraction.

30 goes into 127 four times with 7 left over.

You place 7 over the original denominator of 30

7/30 is a reduced fraction so ...

4 and 7/30 is your answer.

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2.66 ×[tex]10^{11}[/tex]

Hope this helps

Answer:

420

Step-by-step explanation:

Let the number be x

x / (4 1/5 ) = 100

x / (21/5 ) = 100

             x = 100 * (21 / 5) = 20 * 21 = 420

Answer:

Step-by-step explanation:

(-7)2 (-5)3 = -14 * -15  = 210

Answer:

0.915 minutes

Step-by-step explanation:

First, take the 9.75 minutes that it takes Alex and the 8.835 minutes it takes Danielle.

Second, line up the numbers annexing zeros as placeholders as needed.

Third, subtract them

9.750

-8.835

-----------

0.915

Answer:

100.

Step-by-step explanation:

118 rounded to the nearest hundred is 100

When rounding 118 to the nearest hundred, we look at the tens digit (which is 1 in this case). Since this digit is less than 5, we round down to the nearest hundred. Therefore, 118 rounded to the nearest hundred is 100.

Answer:

a. 81.9

b. 144.7

c. 110.2

d. 48

Step-by-step explanation:

a. 120/109.2 = 90/x

x = 81.9

b. 45.6/120 = 55/x

x = 144.7

c. 304.8/96 = 350/x

x = 110.2

d. 109.2/45.6 = 115/x

x = 48

Answer:

2.99x + 12.99y = 43.92

Step-by-step explanation:

Because, 2.99 is for each pair of socks and she bought x number of that. Same for 12.99 (Y).

In conclusion her total was 43.92 and she could have bought many socks as she'd like and blouses.

These calculations are 100% correct! :)

Answer:

D.

Step-by-step explanation:

Oh Edge

Answer:

-31

Step-by-step explanation:

(-4)-3(3)^2

-4-3(9)

-4-27=-31

Hey!

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

Solution:

= x - 3y²

= (-4) - 3(3)²

= (-4) - 27

= -31

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

Answer:

-31

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

Hope This Helped! Good Luck!

38 to the power of 5 is written as 38^5

When a number is raised to a power, multiply that number by itself the number of the power:

38 x 38 x 38 x 38 x 38 = 79,235,168

Answer:

The length of the rectangle is 25 km

Step-by-step explanation:

Let

x ----> the length of rectangle

y ----> the width of rectangle

we know that

The perimeter of rectangle is

[tex]P=2(x+y)[/tex]

we have

[tex]P=68\ km[/tex]

so

[tex]68=2(x+y)[/tex]

simplify

[tex]34=(x+y)[/tex]---- > equation A

[tex]x=3y-2[/tex] ---> equation B

substitute equation B in equation A and solve for y

[tex]34=(3y-2)+y[/tex]

[tex]34=4y-2[/tex]

[tex]4y=34+2[/tex]

[tex]4y=36[/tex]

[tex]y=9\ km[/tex]

Find the value of x

[tex]x=3(9)-2=25\ km[/tex]

therefore

The length of the rectangle is 25 km

Final answer:

The numbers 68.75, 5.894, 634.9201, and 89.99 when rounded to one decimal place become 68.8, 5.9, 634.9, and 90.0 respectively.

Explanation:

The student is asking for rounding to one decimal place. Here is how you round the given numbers:

Answer: 5280

Step-by-step explanation: just do 4280-500=3780

and then add 1500 to 3780 and you get 3180+1500=5280 wich is your answer

The answer would be A because line CB is equivalent to ZY tight? And angles Z and C are congruent. We also know that they are congruent by a ASA relationship, so then angles Y and B are congruent, the answer is A.

To establish that triangles ABC and XYZ are congruent by ASA, we need two pairs of angles and one pair of sides to be congruent. Given that angle Z equals angle C, side CB equals side ZY, the missing piece is option D: Z equals A.

In the problem statement, we're given that triangle ABC = XYZ by ASA, which stands for Angle-Side-Angle congruence. To establish this, we require two angles and one side of the triangle to be congruent. The given details tell us that angle Z is congruent to angle C, and side CB is congruent to side ZY.

To complete the ASA proof, we need another pair of angles to be congruent. Based on the options presented in the question, option D Z=A will fulfill this requirement, thereby proving ABC = XYZ by ASA.

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Answer:

1 out of 6 chance

Step-by-step explanation:

Since there are 6 possible numbers that could be rolled, and 1 number, the number 4, the chances are a 1 out of 6 chance.

Answer:

do the area of the triangle formula the base × height ÷ 2

Answer:

10

Step-by-step explanation:

[tex]-2(4-1) = -16 +y\\-2(3) = -16 +y\\-6 = -16 +y\\y = 16 - 6\\y = 10[/tex]

Answer:

$9,450.00

Step-by-step explanation:

to take sales tax, you convert the % into a decimal ( in this case 5% is equal to 0.05) and multiply that by the cost of the product:

9,000 x 0.05 = 450

that is the amount that you pay in tax. In order to get the entire total add that amount to the original price:

9,000 + 450 = 9,450