12. Sarah uses long division to convert
a rational number 2 to a decimal.
P
Which of the following statements
cannot be true?
A. The decimal form of P
q
terminates with a zero in the
tenths place.
B. The decimal form of P
eventually repeats.
C. The decimal form of never
terminates or repeats.
D. The decimal form ofis 0.

The total cost of the bill that sells for $42 is $54.0204

From the question, we have the following parameters that can be used in our computation:

Cost of the bill = $42

Sales tax = 9%

Tip = 18%

The total cost of the bill that sells for $42 is then calculated as

Total cost = Selling price * (1 + Sales tax) * (1 + tip)

Substitute the known values in the above equation, so, we have the following representation

Total cost = 42 * (1 + 9%) * (1 + 18%)

Evaluate

Total cost = $54.0204

Hence, the total cost is $54.0204

Read more about sales tax at

brainly.com/question/26174192

#SPJ1

Answer:

Step-by-step explanation:

The equation for a parabola is of the form y = ax^2 + bx + c, where a, b, and c are constants. The graph of a parabola is a U-shaped curve that is symmetrical about a line called the axis of symmetry.

In the equation (x-1)^2 = y+2, we can rewrite it as y = (x-1)^2 - 2. This is the standard form of a parabola with a = 1, b = 0, and c = -2.

The vertex of the parabola is the point on the graph where the parabola reaches its highest or lowest point. For a parabola in standard form, the vertex is always of the form (h,k), where h and k are the values of x and y, respectively, at the vertex. The vertex of this parabola is (1,-2).

The axis of symmetry of the parabola is a line that divides the parabola into two mirror images. For a parabola in standard form, the axis of symmetry is always the line x = h, where h is the value of x at the vertex. The axis of symmetry of this parabola is the line x = 1.

The directrix of a parabola is a line that is used to define the parabola. For a parabola in standard form, the directrix is always the line y = k + p, where k and p are constants and p is the distance from the vertex to the directrix. The directrix of this parabola is the line y = -2 + p, where p is the distance from the vertex to the directrix.

The focus of a parabola is a point on the axis of symmetry that is used to define the parabola. For a parabola in standard form, the focus is always the point F(h,k+p), where h and k are the values of x and y, respectively, at the vertex, and p is the distance from the vertex to the directrix. The focus of this parabola is F(1,-2+p), where p is the distance from the vertex to the directrix.

To sketch the graph of this parabola, we can start by plotting the vertex at (1,-2). Then we can draw the axis of symmetry, which is the line x = 1. Next, we can choose a value for p and draw the directrix y = -2 + p. Finally, we can use the vertex and focus to plot points on either side of the axis of symmetry, and connect these points to form the U-shaped curve of the parabola.

[asy]

unit size(1cm);

real p = 1.5;

pair F, V;

F = (1,-2+p);

V = (1,-2);

draw((-2,0)--(4,0));

draw((0,-4)--(0,4));

draw((-2,V.y)--(4,V.y),dashed);

draw((F.x,p)--(F.x,-4),dashed);

label("$x$", (4,0), E);

label("$y$", (0,4), N);

label("$y = (x - 1)^2 - 2$", (4,-3), E);

a dot("$F$", F, NW);

a dot("$V$", V, S);

label

Using the first index law, the solution provided indicates that this has a value of 1.

X to the power of A multiplied by X to a power of B results in X to the power of A + B, according to the first law of indices. Keep in mind that adding the indices when multiplying terms with them means that the base must remain constant throughout.

A topological invariant of a certain class of differential operations on a manifold is studied in index theory, as well as the invariant's local formula in terms of the manifold's geometry. inspirational cases. operator elliptic The index theorem by Atiyah-Singer.

(m³)⁶/m¹⁸ = m³ˣ⁸/m¹⁸

= m¹⁸/m¹⁸

= 1

To know more about index law visit:-

https://brainly.com/question/25539967

#SPJ1

Three options which are included in an individual's personal assets are cash amount , property in any form and any other investment which can be converted cash in future.

Therefore, the three options representing the individuals personal assets are cash amount, property in any form, and investment converted into cash.

Learn more about personal assets here

brainly.com/question/28790497

#SPJ4

Answer is 3h after simplification.

Function is a mathematical expression that represent the relationship between an independent variable and dependent variable. The set of values of independent variable is termed as input of function and the set of value of dependent variable is called output.

given, a function. f(x) = 3x -8

if we want to write x + h instead of x

then the function will be f(x + h) = 3(x + h) - 8

f (x + h) - f(x) = 3(x+ h) - 8- (3x -8)

f( x + h) - f(x) = 3(x +h) - 8 - 3x+ 8

f(x + h) - f(x) = 3(x + h) - 3x

f(x + h) - f(x) = 3x + 3h - 3x

f(x +h) - f(x) = 3h

hence, the above is the result.

To know more about function visit:

https://brainly.com/question/23919020

#SPJ4

Answer:

y=3x+3

Step-by-step explanation:

Using proportional relationships, we can say that They will walk 12 laps and run 20 laps for a total of 32 miles.

In a direct proportional relationship, the output variable is found by the multiplication of the input variable and the constant of proportionality k, as follows:

y = kx.

Given that we know this, they walk 3/8 of the 8 miles that make up the complete distance. Run 5/8 of the route.

The following are the proportional relationships for the distances:

For a total distance of 32 miles, the distances walked and run are given:

therefore, They will walk 12 laps and run 20 laps for a total of 32 miles as per the proportional relation.

Learn more about proportional relationships here: brainly.com/question/10424180

#SPJ1

Side-Angle-Side (SAS) (SAS), The triangles are congruent if the included angles are also congruent and two sides of one triangle match two sides of another triangle.

Side-Angle-Side (SAS) (SAS), The triangles are congruent if the included angles are also congruent and two sides of one triangle match two sides of another triangle.

The use of labels Triangle ABC is congruent to triangle DEF if the angles of triangles ABC and DEF are AB = DE, AC = DF, and A = D.

ABC=CDE: a) in accordance with the conditions BC=CD and AC=CE; b) BCA=m (DCE).

If ABC = CDE, then m(BAC) = m(DEC), and m(ABC) = m (CDE).

If m(BAC)=m(DEC), then AB || DE, or if m(ABC)=m(CDE), then AB || DE.

To learn more about congruent refer to:

https://brainly.com/question/30094441

#SPJ1

Answer: 112 degrees

Explanation:

By the alternate interior angles theorem, m<CAD=40 and m<ACD=28. The quadrilateral is divided into two triangles. The sum of the angles of a triangle is equal to 180 degrees. Now that you know the measurements of two out of the three angles, you can add them up and subtract them from 180.

180-(40+29)=112

The depth of water from the shore is 15 feet.

What is a proportion?

A proportion is an equation that states that two ratios are equal. It can be written in the form of a/b = c/d. The two ratios, a/b and c/d, are called the terms of the proportion.

The cross-products of a proportion are also equal, so ad = bc.

To solve for d in the equation 5/1.5 = 50/d, you can start by multiplying both sides of the equation by 1.5 to cancel out the denominator on the left side. This gives:

5 = 50/d * 1.5

Next, you can simplify the right side of the equation by multiplying 50 and 1.5, which gives:

5 = 75/d

To solve for d, you can now cross-multiply to get:

75 = 5d

Finally, you can divide both sides of the equation by 5 to get:

d = 75/5

d = 15

the value of d is 15.

Hence, the depth of water from the shore is 15 feet.

To learn more about the proportion, visit:

https://brainly.com/question/1496357

#SPJ4

The depth of water from the shore is 15 feet.

What is a proportion?

A proportion is an equation that states that two ratios are equal. It can be written in the form of a/b = c/d. The two ratios, a/b and c/d, are called the terms of the proportion.

The cross-products of a proportion are also equal, so ad = bc.

To solve for d in the equation 5/1.5 = 50/d, you can start by multiplying both sides of the equation by 1.5 to cancel out the denominator on the left side. This gives:

5 = 50/d * 1.5

Next, you can simplify the right side of the equation by multiplying 50 and 1.5, which gives:

5 = 75/d

To solve for d, you can now cross-multiply to get:

75 = 5d

Finally, you can divide both sides of the equation by 5 to get:

d = 75/5

d = 15

the value of d is 15.

Hence, the depth of water from the shore is 15 feet.

To learn more about the proportion, visit:

brainly.com/question/1496357

#SPJ4

Answer:

Step-by-step explanation:

1.RS+ST=RT. so 9y+2+2y+7=15y-11

2.11y+9=15y-11

3.15y-11y=11+9

4.4y=20

finally we find the answer is y=5

On solving the provided question, we can say that - the charge for 42 units = is $139.20; so, charge per unit is 139.20/42 = $3.3142857143

The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.

here,

the charge for 42 units = is $139.20.

so, charge per unit is 139.20/42 = $3.3142857143

To know more about unitary bvisit:

https://brainly.com/question/28276953

#SPJ1

Therefore , the solution of the given problem of tractable problem comes out be it is the most frequently encountered problem that has been discovered to be insoluble.

a process that completes a manageable task in a polynomial amount of time. The polynomial upper bound is used. If an issue cannot be resolved in a polynomial amount of time, it is referred to as being intractable. The bound's minimum is exponential.

Here,

There is no programme that can resolve the halting difficulty for sufficiently general computer programs,

making it the most frequently encountered problem that has been discovered to be insoluble.

The type of computer software we're discussing must be made clear.

Therefore , the solution of the given problem of tractable problem comes out be it is the most frequently encountered problem that has been discovered to be insoluble.

To know more about tractable problem , visit

brainly.com/question/30142700

#SPJ4

Answer:

D.

Step-by-step explanation:

They are parallel would be the best explanation. AB and PQ are in a sense the same segment but PQ is AB translated.

Probability that computer chosen at random has defect is 0.0075.When we don't know how an event will turn out, we can discuss the likelihood or likelihood of various outcomes.

It is based on the likelihood that something will occur. The justification for probability serves as the main foundation for theoretical probability. For instance, the theoretical chance of getting a head when tossing a coin is 12.

Total number of computers=1200

Total number of damage computers=9

Probability that question chosen at random has defect = 9/1200=0.0075

To know more about Probability visit:-

brainly.com/question/30034780

#SPJ4

The value of AB= 24 BD is congruent to BC. BD=BC

BD = 5x – 26, BC = 2x + 1, and AC = 43

To learn more about find value of AB refers to:

brainly.com/question/11923213

#SPJ1

The evaluation of the expression 2ˣ - x² when x = 5 is 7

From the question, we have the following parameters that can be used in our computation:

Expression: 2^x- x^2

Value x = 5

Rewrite the expression as

Expression: 2ˣ - x²

Substitute the known values in the above equation, so, we have the following representation

2ˣ - x² = 2⁵ - 5²

When the exponents are evaluated. we have

2ˣ - x² = 32 - 25

Evaluate the like terms in the equation

So, we have the following representation

2ˣ - x² = 7

Using the above as a guide, we have the following:

The solution is 7

Read more about equation at

https://brainly.com/question/2476251

#SPJ1

Answer:1881 6040mph 18x

Since you're feeding it three times a day, you should feed your goat 0.74 ounces per feeding.

The act of feeding involves giving a baby a mother's breast milk, either directly from the breast or by expressing (pump-out) the milk from the breast and giving it to the baby in a bottle.

In the traditional method of measurement, a pound is used to measure weight. In the conventional system, ounces are smaller weight units that are defined in terms of pounds. 1 pound Equals 16 ounces.

Goats typically need around 2% to 4% of their body weight in feed per day. If your goat weighs 7 pounds, and you want to feed it 2% of its body weight per day, you would need to feed it 0.14 pounds of food per day, or 2.24 ounces per day. Since you're feeding it three times a day, you should feed it 0.74 ounces per feeding.

To learn more about Ounce visit:

https://brainly.com/question/29374025

#SPJ1

The value of a is  -5. All phrases that involve x become zero when we set their value to zero, leaving only constant terms.

The given equation is 2x^2 + x -a  = 5.

let's try to understand what is an equation.

An equation can be defined in numerous ways. Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions. For example,

The two equations 4x + 56 and 14 are joined by the equal sign to get the equation 4x + 56 = 14. Algebraic equations in mathematics frequently have one or more variables.

There are many different kinds of equations, including cubic, quadratic, and linear equations.

There are many distinct sorts of equations, depending on the degree of the equation.

2x^2 + x -a  = 5. put x = 0.

2*0 + 0 - a  = 5

0 + 0 -a = 5

-a =5

a = -5.

So the value of a is -5.

Given Question is incomplete complete question here:

What should be the value of a if the value of 2x^2+x - a equals to 5

when x = 0?

To know more about equations here:

https://brainly.com/question/4769659

#SPJ4

The time taken by the package to reach the ground will be 5.45 seconds.

The motion of an object is related to the forces acting on it by Newton's laws of motion. According to the first law, unless a force acts on an object, it will not alter its motion. According to the second law, an object's force is determined by multiplying its mass by its acceleration. According to the third law, when two objects interact, they exert equal-sized and opposite-direction forces upon one another.

Solution:-

vo=12m/s

h=80m=yo

Then,

[tex]y-yo= vot-1/2gt^2[/tex]

⇒[tex]0-80m=(12m/s)t - 1/2(9.8m/s^2)t^2[/tex]

⇒[tex](4.9m/s^2)t^2-(12m/s)t-80m=0[/tex]

⇒[tex](4.9m/s^2)t^2-(12m/s)t-80m=0[/tex]

⇒[tex]t=5.45s, t=-3.00s[/tex]

∴[tex]t=5.45s[/tex]

To know more about first law visit:-

brainly.com/question/15410544

#SPJ4

According to the probability or likelihood , Maria can expect 2 hits in the game.

Blaise Pascal and Pierre de Fermat are recognized as the fathers of probability because they laid the foundation for the field by thinking through a gambling issue posed by Chevalier de Mere in 1654.

[tex]E(X)=x.P(X=x)[/tex]

Given,

[tex]P(X=1)=0.20\\P(X=2)=0.25\\P(X=3)=0.50\\P(X=4)=0.05\\[/tex]

putting in formula,

[tex]E(X) = (1*0.20)+(2*0.25)+(3*0.50)+(4*0.05)=2.4[/tex]

As the number can not be fraction, hence number of hit will be 2.

To know more about probability visit:-

brainly.com/question/11234923

#SPJ4

Answer:

If you're asking how many books there are its 86.

Step-by-step explanation:

If each book is 1/2 thick that means there are 2 books per inch.

Because there are 43 inches you're going to multiply by 2.

43(2)= 86.

Hope that helped, have a good day!

The fourth shape which is a square has at least one pair of perpendicular sides.

A quadrilateral is a closed object in geometry that is created by connecting four points, any three of which are not collinear. There are 4 sides, 4 angles, and 4 vertices in a quadrilateral.

In the third figure, it is a parallelogram,

In a parallelogram, the opposing or confronting sides are of equal length, and the opposing angles are of equal size.

The sum of adjacent angles is 180° but individuals are not right angles.

The fourth figure is a square and by the properties of a square, all the interior angles are right angles.

Therefore, It has two pairs of perpendicular sides.

learn more about quadrilaterals here :

https://brainly.com/question/29934440

#SPJ2

Call the radius of the cylinder and sphere, r And the height  of the cylinder  = 2r

To learn more about Volume in Cubic Centimeters refers to:

brainly.com/question/463363

#SPJ4

The measure of angle is, 62°.

The sum of two or more angle is 90 degree then the angle is called the complementary angle.

We have to given that;

⇒ Supplement of an angle is 6 more than 4 times of its complement.

Now,

Let measure of an angle = x

So, By given condition, we can formulate;

The supplement of an angle = 180 - x

And, The complement an angle = 90 - x

Hence, We get;

⇒ (180 - x) = 6 + 4 (90 - x)

Solve for x as;

⇒ 180 - x = 6 + 360 - 4x

⇒ 4x - x = 366 - 180

⇒ 3x = 186

⇒ x = 62°

Learn more about the complement angle visit:

https://brainly.com/question/16281260

#SPJ1

Answer:

Δ ABC is isosceles

Step-by-step explanation:

∠ ABC and ∠ BCE are alternate angles and are congruent , that is

∠ BCE = ∠ ABC = 80°

since DE id a straight line then the angles lying on it sum to 180° , that is

∠ ACD + ∠ ACB + ∠ BCE = 180°

50° + ∠ ACB + 80° = 180°

∠ ACB + 130° = 180° ( subtract 130° from both sides )

∠ ACB = 50°

∠ BAC and ∠ ACD are alternate angles and are congruent , that is

∠ BAC = 50°

then

∠ BAC = ∠ ACB = 50°

Since the 2 base angles are congruent then Δ ABC is isosceles

The error is that the student rounded off the outcome after combining the numbers.

When a number is rounded off, its value is maintained but is brought closer to the next number, simplifying the number.

For entire numbers as well as decimals at different places of hundreds, tens, tenths, etc., it is done.

So, we have:

162 + 287 + 395 = 840

The error:

After adding the numbers, the student rounded the result.

If the learner had added the numbers first and then rounded the result, they would have received the correct answer of 850 instead of 840.

When estimating totals, students should be taught to round numbers first before adding them.

Therefore, the error is that the student rounded the outcome after combining the numbers.

Know more about rounding off here:

https://brainly.com/question/28128444

#SPJ4

Correct question:
A third-grade student is asked to find the best-estimated answer for the problem below by rounding to the nearest ten.

162 + 287 + 395

The student gets an answer of 840. Which of the following best describes the student's error?