The cost of downloading a book from a certain website is $5.99. The cost of downloading a video is $7.99. Tatum's mom downloads 3 books and 5 videos.

The value of equation P (x) = [tex]2[/tex] + [tex]\frac{x}{2}[/tex] + [tex]x^{2}[/tex] - [tex]\frac{x^{2} }{3}[/tex] when x = (-1) is P(-1) = [tex]\frac{13}{6}[/tex]

P (x) = [tex]2[/tex] + [tex]\frac{x}{2}[/tex] + [tex]x^{2}[/tex] - [tex]\frac{x^{2} }{3}[/tex]

If the value of x = -1

P (-1) = 2 + [tex]\frac{-1}{2}[/tex] + [tex](-1)^{2}[/tex] - [tex]\frac{(-1)^{2} }{3}[/tex]

P (-1) = 2 - [tex]\frac{1}{2}[/tex] + 1 - [tex]\frac{1}{3}[/tex]

The above equation consist of fractional numbers as well as the whole numbers to therefore it is not possible to apply the operations in this particular conditions.

On taking LCM for the denominators of the fractional numbers (2 , 3), we get 6 as the Least Common Multiple.

To apply the sum and difference operation, we need to make the denominators of all the terms same.

P (-1) = [tex]\frac{12}{6} - \frac{3}{6} + \frac{6}{6} - \frac{2}{6}[/tex]

P (-1) = [tex]\frac{12-3+6-2}{6}[/tex]

P (-1) = [tex]\frac{13}{6}[/tex]

Value of the equation P when 'x' is replaced by (-1) will be [tex]\frac{13}{6}[/tex]

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Answer:

The absolute value of -7.2 is greater.

Step-by-step explanation:

Absolute value means the distance from zero.  Distance is always measured with a positive number.  Which number is farther from 0, -7.2 or -4.3?  -7.2

The mass number of the atom is 4.

The mass number, also called atomic mass number or nucleon number, is the total number of protons and neutrons (together known as nucleons) in an atomic nucleus.

Therefore, the sum of protons and neutron in the nucleus of an atom is mass number of that atom.

Therefore, the atoms in the diagram has 2 electrons, 2 protons and 2 neutrons.

Notice the electrons revolving around the nucleus of an atom.

Therefore,

mass number = mass of neutron + mass of proton

mass number = 2 + 2

mass number = 4

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Answer:

I have attached as an image. Kindly check.

Step-by-step explanation:

Answer:

0.030303...

Step-by-step explanation:

i put the dots because this is a repeating decimal

Answer:

0.03030303030303.

Answer:

10×5.6=56 5.6×10=56

Step-by-step explanation:

apple trees 10× 5.6 acres of land = 56 apple trees

The solution of the given equation by rounding off it to the nearest ten-thousandth is 2.7182.

What is a round-off of the digit?

In mathematics, a round-off is defined as an approximation of the given number to a fewer number of significant digits by taking into consideration some rules.

For eg: 13.58 ~ 13.6

Solving the given equation: log x² = 2

We are given a logarithmic expression: log x² = 2        —- 1

We know that log x² = 2 log x and log (ab) = log a + log b

Using in equation 1, we have,

2 log x = 2

log x = 1

Using exponential on both sides, we have

e^(log x) = e^1

x = e

x = 2.7182

Hence, the solution of the given equation rounded off to the nearest ten-thousandth is 2.7182.

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F (x ) = 3x-5

Solution :

Expression: An expression is a number, a variable, or a combination of numbers and variables and operation symbols

Education: An equation is made up of two expressions connected by an equal sign.

Product of a number by 3  and decreased by 5

let the number be x

product a number by 3  =3x

number is decreased by 5 = -5

Then,

F (x ) = 3x-5

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Answer: 4

Step-by-step explanation:

= Multiply -1 by -9 to change 9 to a positive number

= Add -5 to 9 (-5 + 9 = 4)

= 4

Based on the fraction of their books that they have sold, the number of books that Alexander is left with is 30 books and the number of books that Sophia is left with is 11 books.

Alexander has sold 3/8 of the 48 books and so to find the number of books left, the formula is:

= 48 - (3/8 x 48 books)

= 48 - 18

= 30 books

The number of books that Sophia is left with is:
= 38 - (5/7 x 38)

= 38 - 27

= 11 books

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Answer: A i think

Step-by-step explanation:

If the diameter of the circle is 18 feet, the circumference of the circle is 56.55 feet.

The circumference of a circle or ellipse in geometry is its perimeter. That is, if the circle were opened up and straightened out to a line segment, the circumference would be the length of the arc.

The diameter of a circle is 18 feet.

D = 18 feet

Now, the radius of the circle is half the diameter of the circle.

Therefore,

Diameter = 2 × Radius

Radius = Diameter / 2

D = 2r

r = D / 2

r = 18 feet / 2

r = 9 feet

Now, the circumference of a circle is given as:

Circumference = π × diameter

Circumference = π × 2r

Circumference = 2πr

Circumference = 2 × π × 9 feet

Circumference = 2 × 3.14159 × 9

Circumference = 56.55 feet

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The statement that the sales tax on a good that has been purchased is a function of the selling price in a given state, is TRUE.

The sales tax on an item that is purchased is calculated on the selling price of the item and then added to the item so that the person purchasing the item can pay for the sales tax as well.

Because the sales tax is based on the selling price, it is therefore a function of the selling price with the given state being the percentage of the sales tax.

For instance, a 4% sales tax on a good that is $10 is:

= 4% x 10

= $0.40

This sales tax is based on the selling price and so is a function of it.

Options for the question are:

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After solving the equation, x = 15 is the value of x in 5-3x = -40 .

⇒ 5 - 3x = -40

⇒ - 3x = -40-5

⇒ - 3x =  -45

⇒ 3x = 45

⇒ x = 45/3

⇒ x = 15

To solve linear equations, utilize the steps that are provided below.

Lets take an example of solve z for 7z – (3z – 4) = 12

Here is no multiplication or division, so this will be easy to solve

⇒ 7z – (3z – 4) = 12

⇒ 7z – 3z + 4 = 12

⇒ 4z = 12 – 4

⇒ 4z = 8

⇒ z = 8/4

⇒ z = 2

See, that was so simple, using the mentioned methods, every linear equation can be solved easily.

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Answer:

y=6x+3  

Step-by-step explanation:

Draw it on a graph, then use rise over run, 6/1 and you get 6.

The product of 46 and 63 to the nearest ten is 3000

Product is the result of the multiplication process. Multiplication is the mathematical operation where a number a number is added to another number repeatedly. The sign that represents multiplication is x.

In order to round to the nearest ten, if the unit digit is greater than 5 or equal to 5, 1 is the added to the tens digit and the unit digit becomes zero. If the unit digit is less than 5, there is no change in the tens digit and the unit digit becomes zero.

46 to the nearest ten becomes 50

63  to the nearest ten becomes 60

50 x 60 = 3000

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The product of  46 x 63 when it is been rounded off into the nearest ten can be written as 3,000.

Rounding off  can be described as the mathematical term of making a particular number to become simpler even though the value of that number is still intact .

From the question,  product of ( 46 x 63 )  will give us 3,818. however this number can be rounded off, to tens which will now give us 3,000 because it is tens the first two number from the right has been rounded off.

Therefore, option C is correct.

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Answer:

16 if 8/2(2+2)

Step-by-step explanation:

First take 8 and divide it by 2, and then multiply by 4. This gets to the correct answer of 16.

Exponential equation are inverse of of the logarithmic equation. Since b = 1/3 which is less than 1, hence it is a decay.

Exponential equation are inverse of of the logarithmic equation. The standard exponential equation is y= ab^x

Exponential equation can either be growth or decay depending on the rate constant value.

If the value of b < 1, it is a decay while if the value of b > 1, then it is growth. Given the exponential equation below;

y = 12(1/3)^x

Since b = 1/3 which is less than 1, hence it is a decay. Find the graph attached.

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Answer:

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Math, due tomorrow and i can't find the rate of enlargement of my dilation in transformation....

Answer:

1/2

Step-by-step explanation:

Point Form:

(

3

4

,

−

2

,

1

2

)

Equation Form:

x

=

3

4

,

y

=

−

2

,

z

=

1

2

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Work Shown:

[tex]\sqrt{\frac{81}{100}}\\\\\\\frac{\sqrt{81}}{\sqrt{100}}\\\\\\\frac{\sqrt{9^2}}{\sqrt{10^2}}\\\\\\\frac{9}{10}\\\\\\[/tex]

Therefore,  [tex]\sqrt{\frac{81}{100}}=\frac{9}{10}\\\\\\[/tex]

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

Explanation:

I broke up the single square root to make a fraction of square roots. Then I rewrote 81 as 9^2, and 100 as 10^2. This is so the square roots cancel out with the squares.

The general rule is that [tex]\sqrt{\text{x}^2} = \text{x} \ \text{ , where x} \ge 0[/tex]

Answer: download the app photo math and rewrite your equation and replace your variables with your numbers so the app can understand it. then just take a pic with it on the app and it will give you the answer. its a super useful app!

Step-by-step explanation:

Carolyn will win the contest as the money raised by her is more than the money raised by Gershon.

We are given that:

For Carolyn:

Money given by parents = $ 100

Money she raises every day = $ 15

For Gershon:

Money given by parents = $ 50

Money he raises every day = $ 15

Let the number of days a contest lasts be x.

So, the equations for both will be:

For Carolyn:

100 + 15 x

For Gershon:

50 + 15 x

By comparing, we get that:

Money raised by Carolyn > Money raised by Gershon.

Therefore, we get that, Carolyn will win the contest as the money raised by her is more than the money raised by Gershon.

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Answer:

5/12

I'm assuming this means how much milk is left because it tells how much milk was used in the question

Step-by-step explanation:

Convert to common denominator and you get 9/12 of milk - 4/12 of milk and you get 5/12

The simplified expression is 8

To find the simplified form of the mentioned expression, we will first simplify the value in bracket. Then, multiply the powers to solve it.

As per the known fact, 4² and 2⁴ result to give the number 16.

Expression = (2⁴)³/₄

Now, again as per the known fact, the exponents can be multiplied.

Exponents = 4×(3/4)

Cancelling 4 as it is common in both numerator and denominator

Exponents = 3

Putting the resultant exponent back to the expression -

Expression = 2³

Taking cube -

Expression = 2×2×2

Performing multiplication

Expression = 8

Hence, the simplified form of expression is 8

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Answer:

1

Step-by-step explanation:

Time taken to fill an order of 2, 3, 4 dozen cookies are 45 minutes, 64 minutes and 89 minutes respectively.

To calculate time taken to fill the orders, we will add time used in different processes separately.

time taken to spoon =2 min for each dozen

time taken to bake =  10 min for each dozen

time taken to cool = 5 min for each dozen

time taken to pack = 2 min for each dozen

time taken to receive payment = 1 min for each dozen

time for cookies = mins to mix +  mins to spoon +  total baking mins +  mins to cool + mins to pack + min to receive payment

putting the values in the above formula, we get

Cycle time for 2 dozen cookies = 6 mins to mix + 4 mins to spoon + 20 total baking mins + 10 mins to cool + 4 mins to pack + 1 min to receive payment = 45 mins

Cycle time for 3 dozen cookies = 6 mins to mix + 6 mins to spoon + 30 total baking mins + 15 mins to cool + 6 mins to pack + 1 min to receive payment = 64 mins

Cycle time for 4 dozen cookies = 12 mins to mix + 8 mins to spoon + 40 total baking mins + 20 mins to cool + 8 mins to pack + 1 min to receive payment = 89 mins

Therefore, Time taken to fill an order of 2, 3, 4 dozen cookies are 45 minutes, 64 minutes and 89 minutes respectively.

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The correct answers of the statement are as follows;

Line a and b area parallel lines.

c is not parallel to a or b.

When parallel lines are cut by a transversal, angle relationships are formed. The angle relationship includes corresponding angles, alternate angles, vertically opposite angles etc.

Therefore, let's select the correct answer in the options.

m∠1 = m∠5

Therefore, the measure of angle 1 is equals to the measure of angle 5 because they are corresponding angles.

m∠4 = m∠5

Therefore, the measure of angle 4 is equals to the measure of angle 5 because they are alternate angles.

Hence, the correct answers of the statement are as follows;

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Answer:

[tex] \sf \: x ≤ \frac{11}{6} \: or \: x> \frac{11}{3} [/tex]

Step-by-step explanation:

First question

6x-2≤9

Step 1: Add 2 to both sides.

6x−2+2≤9+2

6x≤11

Step 2: Divide both sides by 6.

6x/6 ≤ 11/6

x≤11/6

Second question

4+3x>15

Step 1: Simplify both sides of the inequality.

3x+4>15

Step 2: Subtract 4 from both sides.

3x+4−4>15−4

3x>11

Step 3: Divide both sides by 3.

3x/3 > 11/3

x> 11/3