sarah started her part-time job at the hourly wage of $7.30. After 6 months she got a 10% raise. To the nearest cent, whay was her hourly wage after the raise?

Answers

Answer 1

Answer: 7.3+7.3*0.1=7.3+0.73 = $8.03

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I am about to fail this math class. I would like to verify that my answers are right. Please help.Find the distance from the given point to the vertical axis.
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Determine the value of k such that the points whose coordinates are given lie on the same line.
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Find the slope of the line containing the given points.
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Suppose a ball is being twirled at the end of a string and the center of rotation is the origin of a coordinate system. If the string breaks, the initial path of the ball is on a line that is perpendicular to the radius of the circle. Suppose the string breaks when the ball is at the point whose coordinates are P(3, 9). Find the equation of the line on which the initial path lies

During one month, a homeowner used 500 units of electricity and 100 units of gas for a total cost of $331. The next month, 400 units of electricity and 250 units of gas were used for a total cost of $326. Find the cost per unit of gas.

Answers

Answer:

1) 7 2) (-1,0) 3) m=-4 4) y=3x-4 5) y=x+6 6)

g(x)=-1/3x+10 7) y= $0.36

Step-by-step explanation:

These questions are all about Cartesian Geometry.

1) The Distance from point (7,-6) to vertical axis (0,-6) is measured with a straight line, between point (7,-6) and nearer point (0,-6)

d=|7-0|=7

2) To determine the value of k, let's determine the function with the two known points: (0, −1), (10, −11).

$m=(y_(2)-y_(1))/(x_(2)-x_(1))\Rightarrow m=(-11+1)/(10-0)\Rightarrow m=-1\n-11=-1*(10)+b\therefore b=-1\Rightarrow f(x)=-x-1\nf(k)=-k-1\n0=-k-1\therefore k=-1$

So (k,0)=(-1,0)

3) To find the slope of the line, we must apply that formula used above.

$m=(y_(2)-y_(1))/(x_(2)-x_(1))\Rightarrow m=(7+9)/(1-5)\Rightarrow m=(16)/(4)=-4$

4) To find the equation of the line which the midpoint (2,2) since Midpoint is given by

$Midpoint=((x_(1)+x_(2))/(2)+(y_(1)+y_(2))/(2))\n$

And the slope is 3, then m=3. Notice the formula is the same to calculate the slope, but we will only pick one point. Since (2,2) ∈ to the function let's use this point, as initial value (x0,y,0)

$m(x-x_(0))=y-y_(0)\n3(x-2)=y-2\n3x-6=y-2\Rightarrow 3x-y=6-2\Rightarrow -y=4-3x\Rightarrow y=3x-4$

5) Similarly to the previous one:

$m(x-x_(0))=y-y_(0)\n(x-0)=y-6\nx=y-6\Rightarrow -y=-x-6\Rightarrow y=x+6$

6) A ball being twirled. The center of the rotation is the origin of Coordinate System (0,0) when the string breaks at point (3,9)

If the line was straight from the origin to point (3,9) $m=(9-0)/(3-0)\Rightarrow m=3\therefore 9=3(3)+b\Rightarrow b=0\Rightarrow f(x)=3x$

But the point (3,9) ∈ to a tangent line to the circumference described by the twirling.

Since it is perpendicular instead of m=3 it is -1/m i.e. -1/3, also the circumference intercepts the y-axis in ≈10

g(x)=-1/3x+10

7) In this case, we must also find the function.

x=units of electricity, y=units of gas |

500x+100y=331

400x+250y=326

The cost per unit of gas is y. Finding out the unit value for y

$100y=331-500x\rightarrow y=(331-500x)/(100)\n500x=331-100y\nx=(331-100y)/(500)\n400((331-100y)/(500))+250y=326\n52.96-80y+250y=326\Rightarrow y=(9)/(25) \,and \,x=(59)/(100)$

IMPORTANT PLEASE I NEED NOW:Find the area of each face of the cube whose volume is 729 cm

Answers

Answer:

Step-by-step explanation:

square root of 729= 9

9×9=81

Answer:

Step-by-step explanation:

Formula of Volume= $a^(3)$ - a = side

Therefore since the volume is given you just need to find the side.

729= $a^(3)$ = $\sqrt[3]{729}$ = a

= 9 = a

Now you know that 9 is the side, so using that find the area of one face-

Area of a square= 9 x 9 = 81 $cm^(2)$

2(3x+4y)=4x+12y
solve

Answers

6x + 8y = 4x + 12y
6x - 4x = 12y - 8y
2x = 4y
x = 2y

is it x=2y?
Because 6x+8y=4x+12y
=>2x+8y=12y
and 2x=4y, so x=2y

Over what invterval is the Graph of the polynomial function f(x)=x^3 -6x^2+3x+10

Answers

Answer:

if 45 do is my she 78

Step-by-step explanation:m 829 -318 =29+87/982

Chin correctly translated the following phrase into an algebraic expression.“one-fifth less than the product of seven and a number”

Which expression represents Chin’s phrase?
7 n + one-fifth
StartFraction 7 n minus 1 Over 5 EndFraction
StartFraction 7 n + 1 Over 5 EndFraction
7 n minus one-fifth

Answers

Answer: C = b7 + bc

Step-by-step explanation:

True or False? In a circle, radius OP intersects chord AC in point B so that AB = 8 units and BC = 8 units. This means that OP is perpendicular to AC.

Answers

True.

Because, OAC forms a triangle where:

- the base is AC,
- the other two sides are OA and OC with same length equal to OP (the radius of the circle)
- when you trace the bisectriz of AC you realize it is a line perpedicular to AC that intersects the center of the the circle, O

Answer:

TRUEEE

Step-by-step explanation:

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Two-thirds of a number is equal to negative one-fifth. What is the numberanswers: -7 1/2, -3/10, -2/15, -3 1/3