Which equation has only one unique solution?
A. |3-x| = 3
B. Ix-2| - 7 = 7
C. 9 - |2x - 1| = 9
D. -4|x| + 1 = -3

It would cost approximately 0.897 cents to run your laptop for 2.6 hours, assuming a cost of 15 cents per kWh.

To calculate the cost of running your laptop for 2.6 hours, we need to determine the energy consumed in kilowatt-hours (kWh) and then multiply it by the cost per kWh.

Power of the laptop (P) = 23 Watts

Time (t) = 2.6 hours

Cost per kWh (C) = 15 cents

First, let's convert the power from Watts to kilowatts:

P = 23 Watts = 23/1000 = 0.023 kilowatts

Next, we calculate the energy consumed in kilowatt-hours using the formula:

Energy (E) = P * t

Substituting the values:

E = 0.023 kilowatts * 2.6 hours = 0.0598 kilowatt-hours (kWh)

Finally, we calculate the cost using the formula:

Cost = E * C

Substituting the values:

Cost = 0.0598 kWh * 15 cents/kWh

Calculating this, we find:

Cost = 0.897 cents

Therefore, it would cost approximately 0.897 cents to run your laptop for 2.6 hours, assuming a cost of 15 cents per kWh.

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When switched on, your laptop recuires a power of 23 Watts. How many cents does it cost to run it for 2.6 hours, if a kWh costs you 15 cents?

When csc(θ)<0, it means that the cosecant of angle θ is negative. Recall that the cosecant of an angle is the reciprocal of its sine. Therefore, csc(θ)<0 when sin(θ)<0.

The sine function is negative in the third and fourth quadrants of the unit circle, where the y-coordinate of the point on the circle is negative. Therefore, if csc(θ)<0, angle θ could lie in Quadrant III or Quadrant IV. To summarize, when csc(θ)<0, angle θ could lie in Quadrant III or Quadrant IV. It cannot lie in Quadrant I or Quadrant II because the sine function is positive in those quadrants.

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The probability defined as P(A)  = 0.6.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

As, per from the Figure, 1 is split at 0.6 and 0.4.

In which 0.6 is defined by A and 0.4 is defined by B.

So, The probability of A ;

P(A) from the tree diagram is 0.6

and, The probability of B ;

P(B) from the tree diagram is 0.3

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9514 1404 393

Answer:

  $254,165

Step-by-step explanation:

Assuming payments are made to the account at the end of the month, the balance is the sum of a geometric series with first term 400 and common ratio (1+0.035/12). The sum of 360 payments will be ...

  400((1+0.035/12)^360 -1)/(0.035/12) ≈ $254,165

Ricardo will have about $254,165 in his retirement account after 30 years.

Answer:

17/6

Step-by-step explanation:

Answer:

2 5/6

Step-by-step explanation:

4 1/3= 13/3

1 1/2= 3/2

lowest common denominator of 3 and 2 is 6 so:

13/3*2/2=26/6

3/2*3/3=9/6

26/6-9/6=17/6

17/6= 2 5/6

The correct statement regarding the proportional relationships is given as follows:

Boat A travels at a faster rate than Boat B.

A proportional relationship is a special case of a linear function with intercept zero in which the output variable is given by the multiplication of the input variable and the constant of proportionality, in the case of a direct relationship, as follows:

y = kx

The function for boat A is:

d = 10.5t.

Hence the rate is:

10.5 miles per hour.

From the graph, the rate for boat B is obtained as follows:

k = 90/10 = 9 miles per hour.

A higher constant means a faster rate, 10.5 is greater than 9, hence boat A travels faster.

The problem is given by the image shown at the end of the answer.

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Answer:

54 Degrees

Step-by-step explanation:

The value of y co-ordinate of point Q is found to be -20 or 10 by using the distance formula.

Given: Points P and Q are separated by 17 units. The coordinates of point P are (5, 5) and point Q are (-3,y).

Using the distance formula,

PQ = \(\sqrt{(x_{2}-x_{1})^2 - (y_{2}-y_{1})^2}\)

17   = \(\sqrt{(-3-5)^2 - (y-(-5))^2}\)

17  = \(\sqrt{-8^2-(y+5)^2}\)

17²  = 64 - y² +25 +10y

289-64-25 = - y² + 10y

y² + 10y - 200 = 0

On solving the quadratic equation we get,

y = -20, 10

Therefore, the value of y co-ordinate of point Q is found to be -20 or 10 by using the distance formula.

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environment is not natural uniform all from

Volume of the cone is 628 In^3

What is cone?

A cone can be seen as a set of non-congruent circular disks that are stacked on one another such that the ratio of the radius of adjacent disks remains constant.

Cones typically have pyramidal shapes with circular cross sections. A right cone is a cone with the vertex located above the base's middle. Right circular cone is another name for it. If you know the height and radius of a cone and plug those values into a formula, you can quickly determine the volume of a cone.

The volume of a cone defines the space or the capacity of the cone. A cone is a three-dimensional geometric shape having a circular base that tapers from a flat base to a point called apex or vertex. A cone is formed by a set of line segments, half-lines or lines connecting a common point, the apex, to all the points on a base that is in a plane that does not contain the apex.

According to the question

The volume of a cone = (1/3) πr2h cubic units

r=10 inch

h=6 inch

π=3.14

Volume=0.33(3.14)(10)(10)(6)

volume=628 \(inch^3\)

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The value of 6x is 102.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

x=51/3

For 6x put x= 51/3 we get

6x = 6 x 51/3

6x = 2 x 51

6x = 102

Or, \(x^6\) = \((51/3)^6\)

\(x^6\) = 17,596,287,801 / 531,441

Hence, the value of 6x = 102.

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Answer:

3(2 + 3)

Step-by-step explanation:

both answers equal 15

Answer:

(9+6)

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

oranges weigh 0.5 and grapefruits weigh 1.5

The required: 13 oranges and 15 grapefruits would weigh 29 pounds.

The correct option is A.

One or many equations having the same number of unknowns that can be solved simultaneously are called simultaneous equations. And the simultaneous equation is the system of equations.

Let's use a system of equations to solve this problem:

Let's call the weight of an orange "x" and the weight of a grapefruit "y". Then we can write:

10x + 20y = 35 (equation 1)

16x + 10y = 23 (equation 2)

We want to find the weight of 13 oranges and 15 grapefruits, which we can represent as:

13x + 15y

In this case, we can multiply equation 1 by -8 and equation 2 by 15:

-80x - 160y = -280 (equation 1, multiplied by -8)

240x + 150y = 345 (equation 2, multiplied by 15)

Now we can add the two equations to eliminate y:

160x = 65

Solving for x, we get:

x = 65/160

Now we can substitute this value of x back into one of the original equations to solve for y. Let's use equation 1:

10(65/160) + 20y = 35

Simplifying this equation, we get:

13/32 + 2y/4 = 7/2

Multiplying both sides by 32, we get:

13 + 16y = 112

Solving for y, we get:

y = 99/16

Finally, we can substitute these values of x and y into the expression for 13 oranges and 15 grapefruits:

13x + 15y = 13(65/160) + 15(99/16) = 29.0625

Therefore, 13 oranges and 15 grapefruits would weigh approximately 29.0625 pounds, which is closest to answer B, 29 pounds.

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9514 1404 393

Answer:

  D: {-4, 1, 5, 9}

  R: {-8, 0, 1, 5}

Step-by-step explanation:

The domain is the list of first numbers of the ordered pairs: {-4, 1, 5, 9}.

The range is the list of second numbers of the ordered pairs: {-8, 0, 1, 5}.

The statements below to explain two ways to convert miles to kilometers is

Unit conversion can be described as the conversion that can be made to convert an item in a particular unit to another unit.

From above the conversion rate for the conversion of miles to kilometer and there conversion of kilometer was given , which can be used in making the conversion.

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Answer:

31 and 37

Step-by-step explanation:

Those are the only two numbers

Answer:

The two numbers between 30 and 40 which have only 2 factors are -

31 and 37

Hope it helps you.

Answer:

So x^2 + 2xy - y^2

Step-by-step explanation:

Let "a" be added to x^2 + xy +y^2 to obtain 2x^2 + 3xy

So a = 2x^2 + 3xy - (x^2 + xy + y^2)

= 2x^2 + 3xy - x^2 -xy - y^2

= x^2 + 2xy - y^2.

So x^2 + 2xy - y^2 must be added.

The fastest way to manufacture more tables is to have the person in-charge of finishing and packaging help with the preparation

a)The fastest way to manufacture old oregon tables using the original crew is to have the person in-charge of finishing and packaging help with the preparation. Then, the person in-charge of preparation and packaging can help with the assembly. The finishing can also be done by three people. Finally, the packaging step can be helped by assembly and finishing people. This would produce more tables per day.

b) No. It would be better if the backup person can help with the task.

c) Tom could do the packaging since he'd be free after doing his step.

d) The scheme in No. 1 can be used

Therefore, the fastest way to produce more tables is to have the person in-charge of finishing and packaging help with the preparation.

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Learning platforms that use algorithms to adjust the content that each student sees in order to maximize learning efficiency is called Adaptive learning

Adaptive learning platforms utilize algorithms to tailor the learning experience for individual students based on their needs, abilities, and learning progress.

By analyzing data and feedback, adaptive learning systems can dynamically adjust the content, pace, and difficulty level to optimize learning efficiency and personalize the educational journey for each student.

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Answer:

y= x +6

Step-by-step explanation:

y=mx+b

given: m=1

y=x+b

-1 = -7 +b

6 = b

y= x +6

When he swam 5 laps in 2 1/2 minutes, he would complete 16 laps in around 8 minutes.

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. In mathematics, a fraction is used to denote a portion or component of the total. It stands for the proportionate pieces of the whole. Numerator and denominator are the two components that make up a fraction. The numerator is the number at the top, while the denominator is the number at the bottom.

Here,

laps in 2.5 minutes=5

In 8 minutes,

=5/2.5*8

=16 laps

He would swam approximately 16 laps in 8 minutes when he swam 5 laps in 2 1/2 minutes.

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Answer:

the sugar cookie dough is $5 each and the gingerbread is $10 each.

Answer:

1 sugar cookie pack=$ 5

1ginger cookie pack=$10

Step-by-step explanation:

13x+ 7y=135

13x+ 11y= 175

by subtraction

4y=40

y=10

substituting the value of y in any of the above equation

13x+7×10= 135

13x+70=135

13x=135-70

13x=65

x=65/13

x=5

The height of the tree whose shadow is 36 feet long will be 204 feet.

Given that:

Angle, θ = 80°

Length of shadow, x = 36 feet

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

The height of the tree is calculated as,

tan 80° = h / 36

h = 36 x tan 80°

h = 204 feet

The height of the tree whose shadow is 36 feet long will be 204 feet.

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The parabola is symmetric with respect to the y-axis, and its shape and size are determined by the coefficient of x, which in this case is 20.

The equation of a parabola with its vertex at the origin can be expressed as y² = 4px, where p is the distance from the vertex to the focus. In this case, the focus is located at (-5, 0), which means the distance from the vertex to the focus is 5 units. Substituting the values into the equation, we get:

y² = 4(5)x

Simplifying further:

y² = 20x

Therefore, the equation of the parabola with vertex at the origin and focus (-5, 0) is y² = 20x.

This equation represents a parabola that opens to the right, with the vertex at the origin (0, 0). The focus is situated 5 units to the left of the vertex along the x-axis. The directrix of the parabola is a vertical line 5 units to the right of the vertex, given by the equation x = 5.

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Answer:

first one top left

Step-by-step explanation:

Answer:

16/26=8/13

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

the denominator is double of 13, using that logic multiply 8 by 2 to get 16

Answer:

d=ut+1/2at^2

Step-by-step explanation:

by determining the distance will travel

d=sum of the product of its initial velocity with time(ut+) and product of half the acceleration with squared time(1/2at^2).

By putting them together, we'll have

d=ut+1/2at^2

The equation is

d = vt + ( 1/2 ) at²

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the distance of an object = d

Let the initial velocity be = v

Let the time taken be = t

Let the acceleration be = a

Now , the equation is

The distance traveled by the object = Sum of product of initial velocity and time and product of half the acceleration and square of time

So , substituting the values in the equation , we get

d = vt + ( 1/2 ) at²

Therefore , the equation is d = vt + ( 1/2 ) at²

Hence , The equation is

d = vt + ( 1/2 ) at²

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Answer:

1.)6 bottles

2.) 2.50 and 10

3.) 5 and 1 if you graph both of the equation, they both intersect at (5,1)

Step-by-step explanation: