What is the y-intercept?​

Answer:2,922

Step-by-step explanation: get the 730.5 which is the amount of days in two years and the 4% interest and multiply it together. So it will be 730.5x4=2,922

two-thousand-nine-hundred-twenty-two

The sum of an arithmetic series with an 18-term first term, a 118-term last term, and an 816-term final term is 3 terms.

An easy formula for calculating the sum is provided below: Formula One If an arithmetic series with terms has a sum Sn, then. In addition to the number of terms, this formula needs to know the first and end term values. An arithmetic sequence's terms are added together to form an arithmetic series. A geometric sequence's terms are added together to form a geometric series.

given

the sum of series =Sn=n(a1 + an)2

sum = 816 , an = 118  ,a = 18

816 = n ( 18 + 118 ) * 2

816 / 2 = 136n

408 = 136n

n = 3

so ,the sum of an arithmetic series with an 18-term first term, a 118-term last term, and an 816-term final term is 3 terms.

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Answer:

There are 5 significant figures in the number 57,030 joules.

Step-by-step explanation:

In general, significant figures are all the digits in a number that are used to express precision, including all digits except:

Leading zeros (zeros that come before the first non-zero digit).

Trailing zeros (zeros that come after the last non-zero digit but before the decimal point).

Trailing zeros that are after a decimal point, if the decimal point is not at the end of the number.

In the number 57,030, all of the digits are used to express precision, so all of the digits are significant figures. The zeros between the 5 and the 7, and between the 3 and the 0, are not leading zeros or trailing zeros, so they are also significant figures. The zero after the 3 is a trailing zero, but it is after a decimal point (even though the decimal point is not written), so it is not a significant figure.

Therefore, there are 5 significant figures in the number 57,030 joules.

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Answer: 4 Sig Figs

Step-by-step explanation: Ending zeros are not counted toward sig figs

Answer:

17.5

Step-by-step explanation:

Angle EDF added up equals to 37.5

12+8=20

37.5-20=17.5, so the answer is 17.5, hope this helps :)

Answer:

BC = 5

Step-by-step explanation:

since the triangles are similar then the ratios of corresponding sides are in proportion , that is

[tex]\frac{BC}{DF}[/tex] = [tex]\frac{AC}{EF}[/tex] ( substitute values )

[tex]\frac{BC}{7.5}[/tex] = [tex]\frac{8}{12}[/tex] ( cross- multiply )

12 BC = 60 ( divide both sides by 12 )

BC = 5

The solution is Option D.

The value of the equation is A = 2a³b

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 equation be represented as A

Now , the value of A is

Let the first expression be x = 18a⁶b²

Let the second expression be y = 9a³b

The equation A = x/y

Substituting the values in the equation , we get

A = 18a⁶b² / 9a³b   be equation (1)

On simplifying the equation , we get

A = ( 18/2 ) ( a⁶ / a³ ) ( b²/b )

A = 2a³b

Therefore , the value of A is 2a³b

Hence , the equation is A = 2a³b

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1) The solution of the equation will be positive.

2) The solution of the expression is,

⇒ x = 2/3

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

1) The expression is,

⇒ 3x - 5 = - 3

2) The equation is,

⇒ x - 5 (x - 1) = x - (2x - 3)

Now,

For the equation (i);

⇒ 3x - 5 = - 3

Clearly, LHS side of the equation is greater than RHS of the equation.

So, The solution of the expression is positive.

For the equation (ii);

⇒ x - 5 (x - 1) = x - (2x - 3)

Solve for x as;

⇒ x - 5x + 5 = x - 2x + 3

⇒ - 4x + 5 = - x + 3

⇒ 5 - 3 = 4x - x

⇒ 2 = 3x

⇒ x = 2/3

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What was the final price of a skateboard if it originally cost $119.50 after all reductions were applied? $62.74

This phrase relates to the phrase that is used to denote the price reduction from an item's typical price.

Formulate based on the conditions stated:

Find the total or difference by multiplying 119.5 by (1 - 25%) by (1 - 30%).

the difference or total of 119.5 x 0.75 x (1-0.3)

Determine the outcome, or quotient, of 119.5 x 0.75 x 0.7.

Find the result by multiplying 89.625 by 0.7.

Round up to: 62.74

As a result, $62.74 is the final cost after all reductions.

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Answer:

Step-by-step explanation:

is this college if it is i can answer it.

Algebraic justification for each step

step       Justification

1             given

2     addition of fraction using least common multiple

3.    division by fraction and inverting of the fraction

4.    distribution property of multiplication

The first step is the given equation

[tex]\frac{2d}{\frac{d}{r_{1} } +\frac{d}{r_{2}} }[/tex]

The second step is finding the least common factor used for addition of fraction

[tex]\frac{2d}{\frac{r_{2}d}{r_{1} } +\frac{r_{1}d}{r_{2}} } = \frac{2d}{\frac{r_{2}d +r_{1}d}{r_{1}r_{2} } }[/tex]

The third step is division operation and in this steps fractions has the property of inverting and the division turns to multiplication.

[tex]\frac{2d}{\frac{r_{2}d +r_{1}d}{r_{1}r_{2} }}=\frac{2d}{1}\frac{r_{1}r_{2}}{{r_{1}d +r_{2}d}{ }}=\frac{2dr_{1}r_{2}}{{r_{1}d +r_{2}d}{ }}[/tex]

The fourth step is using distributive property of multiplication and striking out common factors

[tex]\frac{2dr_{1}r_{2}}{{r_{1}d +r_{2}d}{ }}=\frac{2dr_{1}r_{2}}{{d(r_{1} +r_{2})}{ }}=\frac{2r_{1}r_{2}}{{(r_{1} +r_{2})}{ }}[/tex]

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The type of function which f(x)=2x^3-4x^2+5 is the cubic function.

A cubic function is a function in mathematics where the variables x can take on real values and the coefficients a, b, c, and d are complex numbers. In other words, it is a real function as well as a polynomial function of degree three.

F(x) = x³ denotes the "basic" cubic function. It is depicted in the graph below. The greatest power over the x variable(s) in a cubic function is 3. The graph can be made "wider" or "skinnier" by the coefficient "a," or it can be reflected (if the value is negative): The graph's y-intercept serves as the constant "d" in the equation.

A cubic function equation is of the form f(x) = ax³ + bx² + cx + d, where a, b, c, and d are constants (or real numbers) and a ≠ 0.

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The capacity of the barrel is 6.84 liter or 6840 milliliters.

We know that,

The unit relations are given by:

1 litre = 1000 millilitres or 1000 ml

or 1 ml = 1/1000 litre

and ml and miliilitre are same.

given,

Capacity of barrel = 6840ml

6840ml = 6840 millilitres

or 6840 ml = 6840/1000 litre = 6.840 litre

Therefore, The capacity of the barrel is 6.84 litre or 6840 milliliters.

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The measure of angle Y for the given condition is 50°

Complementary angles are those whose combined angle is 90 degrees or less. To put it another way, two angles are said to be complimentary if they combine to make a right angle. In this case, we say that the two angles work well together.

Given  ∠S and ∠Y are complementary,

∠S + ∠Y = 90°

and given expression

∠S = 4∠Y - 160

and ∠S = 90 - ∠Y

90 - ∠Y = 4∠Y - 160

4∠Y + ∠Y = 90 + 160

5∠Y = 250

∠Y = 250/5

∠Y = 50°

Hence the value of ∠Y is 50°.

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Step-by-step explanation:

The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle:

4)

x = 21 + 34

x = 55

5)

100 = 51 + 2x + 3

100 = 2x + 54

46 = 2x

23 = x

6)

94 = 60 + 2x

34 = 2x

17 = x

Answer: easy 85/5=17 (calculated in head)

Step-by-step explanation: to start: #1: how many times does 5 go into 8? 1. Then subtract and you get 3. Drop down the 5: 35; that leads to the answer: what is 35 ➗ 5? 7. There is your answer. 17.

The true statements about the quadratic function f(x) = x² – 5x + 12 are

A second-order polynomial equation with a single variable, x, is known as a quadratic equation.

The graph of a quadratic equation traces a parabolic path

For the given function, f(x) = x² – 5x + 12 the coefficient of x² is positive hence the curve opens down

The graphs is attached and it does not contain the points (20, –8). and (0, 0)

Substituting  f(–10) = x² – 5x + 12

= (-10)² – 5(-10) + 12

= 100 + 50 + 12

= 162

hence not equal to 82

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Answer:

The answers are A. and C.

Step-by-step explanation:

3/4-1/2=1/4

7/8-3/4=1/8

The required scoops of birdseed Ian will put in the feeder are 2.

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here,
Ian's bird feeder holds 1 1/2 cups of birdseed.
Ian is filling the bird feeder with a scoop that holds 3/4 of a cup.
So, the ratio of the cup to scoop gives the number of cups,
Number of scoops = 1 1/2 / [3/4]
                             = 3/2 × 4/3
                             = 2 scoops

Thus, the required scoops of birdseed Ian will put in the feeder are 2.

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Answer: 15 feet.

Step-by-step explanation:

To find the height of the actual sailboat, we need to determine the ratio of the scale used to build the model. In this case, the ratio is 2 inches : 3 feet, which can be simplified to 1 inch : 1.5 feet.

We can then use this ratio to convert the height of the model, which is 10 inches, to the corresponding height of the actual sailboat. To do this, we multiply the height of the model by the conversion factor, which is 1.5 feet/inch:

10 inches * 1.5 feet/inch = 15 feet

The expression 1/12 x³ y + 7/12 x y² can be written as 1/12xy(x² + 7y) using common factor.

An algebraic expression is consists of variables, numbers with various mathematical operations,

The given expression is,

1/12 x³ y + 7/12 x y²

The common term in the expression is,

1/12xy

To simplify the expression,

take common to 1/12xy from the expression,

1/12xy(x² + 7y)

The required expression is 1/12xy(x² + 7y).

Hence, option (C) is correct.

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Step-by-step explanation:

Tiana is right.

Angle D = angle E = 90°

their sum is 360°

2×90° + (5x-2)° + (2x+7)° = 360°

(5x-2)° + (2x+7)° = 180°

The tangents drawn from a point to the circle are equal, therefore the angle formed by the radius and that tangent is 90°

[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 500\\ P=\textit{original amount deposited}\\ r=rate\to 2.8\%\to \frac{2.8}{100}\dotfill &0.028\\ t=years\dotfill &4 \end{cases} \\\\\\ 500 = P[1+(0.028)(4)] \implies 500=1.112P\implies \cfrac{500}{1.112}=P\implies 449.64\approx P[/tex]

Answer:

85% = 29.75 or 30 add-on sales (rounded)

Step-by-step explanation:

Answer:

85% = 29.8or 30 add-on sales (rounded)

The solution to the arithmetic operations by using the PEMDAS method is -336.5

There are various phases to solving arithmetic operations, whether they are simple calculations using only fundamental operations like addition and subtraction or more difficult issues requiring the use of several operations and the application of more sophisticated mathematical ideas.

Using the PEMDAS approach to solving the given arithmetic operations, we have:

= 9 + 10 + 9 - 23 × 30 - 5

= 9 + 10 + 9 - 690 - 5

= 28 - 695

=  - 667

In addition to that, we are to divide the above answer by 2, then subtract 3 from the answer;

i.e.

= - 667/2 - 3

= -333.5 - 3

= -336.5

Therefore, the solution to the arithmetic operations by using the PEMDAS method is -336.5.

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Step one follows commutative property and step four follows associative property.

The additive inverse of a number is its opposite number. If a number is added to its additive inverse, the sum of both the numbers becomes zero. The simple rule is to change the positive number to a negative number and vice versa.

The given expression is (5.2-4)-4+6.2

Step 1: (5.2-4)+(-4)+6.2 (Commutative property)

Step 2: 1.2+(-4)+6.2 (Additive Inverse)

Step 3: 1.2+6.2+(-4)

Step 4: (1.2+6.2)+(-4) (Associative property)

Step 5: 7.4+(-4)

7.4-4=3.4

Therefore, step four follows associative property.

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Note that the greatest Edge Lenght of the cubes that Safara should use for the Right Rectangular Prism is 1/12.

The right rectangular prism contains two parallel end faces and four lateral faces, each of which is a rectangle; the faces are perpendicular to the bases of the prism. Parallelograms are the faces of a non-right rectangular prism (oblique prism). A cuboid is another name for a right rectangular prism.

Note that a right rectangular prism would be divided into cubes of 1/4 of each dimension because it is a solid geometric form.

Expressing the prism in dimensions of  1/4  inches, we have:

3/12/ = 7/2

21/4 = 9/4; and

41/3 = 13/3

Converting all fractions so that they each have the same denominator, we have:

3/12/ = 7/2 = 42/12

21/4 = 9/4; 21/12 and

41/3 = 13/3 = 52/12

Because the common multiple of 2, 4, and 3 is 12, thus, the best edge length of the cube to be used is 1/12.

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Answer:

see below

Step-by-step explanation:

2 (2x - 3) < 4x - 6

distribute

4x - 6 < 4x - 6

add 6

4x < 4x

divide by 4

x<x

maybe i did this wrong but this is what i got.

The inequality for the 3 consecutive numbers is:

15 < (1/2)*(x + x + 2 + x + 4) < 21

And the solution is:

8 < x < 12

Let's assume x is the smallest of the even numbers.

Then the next consecutive even number is:

x + 2

And the next one is:

x + 4

Now, we know that one half of their sum is between 15 and 21, then we can write the inequality:

15 < (1/2)*(x + x + 2 + x + 4) < 21

We can multiply both sides by 2 to get:

2*15 < 3x + 6 < 2*21

30 < 3x + 6 < 42

Subtract 6 in both sides:

30 - 6 < 3x < 42 - 6

24 < 3x < 36

Now we can divide all by 3.

24/3 < x < 36/3

8 < x < 12

That is the inequality solved.

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We can see that an equation that relates y, the amount of yellow paint in liters, and b, the amount of blue paint in liters, needed to make the Green Goober's special green paint will be: 3 + 5 = 8 or y + b = g (Green Goober's special green paint).

An equation is actually known to be a mathematical statement that asserts the equality of two expressions. The expressions on either side of the equals sign ( = ) represent the same value or mathematical object.

Equations can be used to describe a wide range of mathematical relationships and can be written using a variety of mathematical symbols and notation.

We see that the equation given above is the correct that relates the yellow paint to the blue paint.

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The entry to record the sale of the season tickets would be:

Date                  Account title                                      Debit              Credit

XX-XX          Cash                                             $ 1, 118, 000

                      Unearned ticket revenue                                    $1, 118, 000

The revenue recognized when the first home game is played is:

Date                  Account title                                      Debit              Credit

XX - XX          Unearned ticket revenue                 $86, 000

                        Ticket revenue                                                       $ 86, 000

The sale would be recorded as a debit to cash for the amount of :

= 5, 200 tickets x 215 per ticket

= $ 1, 118, 000

The Unearned ticket revenue account will be credited as the revenue has not been earned as no games have been played.

When the first home game is played, then the revenue for one game is recognized :

= 1, 118, 000 / 13 games

= $ 86, 000

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