Juan buys 120 meters of wire he has finished laying 78.4 meters of wire. How many more meters of wire must he lay?

Answer: 14

Step-by-step explanation

Do the prime factorization & it will give you 14

Answer:

should be y just trying to keep my streak

Step-by-step explanation:

Step-by-step explanation:

(o, -2) is the correct answer because in -90°

P [x,y] =P' [y,-x ]

hope it is helpful to you

Using the inequality rule we know that 11 is greater than -11, (11 > -11).

Mathematical expressions with inequalities are those in which the two sides are not equal.

Contrary to equations, we compare two values in inequality.

Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Two expressions in inequality aren't always equal, which is denoted by the symbols >, <, ≤, or ≥.

So, let's say the inequality equation looks like this: A

Right now, A is valued at

Let p be used to representing the initial number.

P equals 11, so

Let q be used to representing the second number.

Q has a value of -11.

-11 and 11 are both numbers that are greater than zero.

Then, 11 > -11 ... (1)

A has a value of 11 > -11.

Therefore, using the inequality rule we know that 11 is greater than -11, (11 > -11).

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Correct question:
Is 11 greater than, equal to, or less than -11?

Answer:

One of these

Step-by-step explanation:

If Tito took a loan of $10000 from a bank to be repaid within 4 years, at 12% Simple interest per annum, then, he will have to pay overall $4800 as interest to the bank over 4 years and a total payment of $14800 at the end of the 4th year to repay and close off the loan.

As per the question statement, a bank charges 12% Simple interest per annum on cash loans to its clients and Tito took a loan of $10000 from the same bank to be repaid within 4 years.

We are required to calculate the overall interest Tito has to pay to bank if he repays and closes the loan at the end of 4th year, and also to calculate the total payment required to repay and close off the loan at the end of the 4th year.

To solve this question, we need to know the formula to calculate the interest amount in case of simple interest which goes as

Interest (I) \(=(\frac{P*R*T}{100} )\)

where, "P" = Principle amount of Loan,

"R" = Rate of simple interest charged on the principle per annum, and

"T" = Time period within which, the loan is to be repaid.

Here, (P = 10000), (R = 12%) and (T = 4). Then, the overall interest Tito will have to pay at the end of 4th year  = \((\frac{10000*12*4}{100}) = (100*12*4)=(48*100)=4800\)

And total amount to be paid to repay and close of the loan at the end of 4th year will be = $[4800 + 10000] = $14800.

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The percentage of voters that plan to vote for the Democrat candidate is given as follows:

Number of voters for the Democrat / 540 x 100%.

A percentage is obtained applying a proportion, which is the division of the number of desired outcomes by the number of total outcomes, which is then multiplied by 100%.

A poll was conducted of 540 voters asking for which candidates they planned to vote, hence the total number of outcomes is given as follows:

540.

Then the division of the desired number by the total number is given as follows:

Number of voters for the Democrat / 540

The multiplication to write the proportion as a percentage is given as follows:

Number of voters for the Democrat / 540 x 100%.

This problem is incomplete, as the table is not given, hence the general procedure is presented to obtain the percentage of voters that plan to vote for the Democrat candidate.

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We raise the fraction to the power of 4/3.

To evaluate the expression:

\left( \frac{16}{9} \right)^{2/3} \cdot \left( \frac{4}{3} \right)^{4/3} \cdot \left( \frac{9}{16} \right)^{2/3} \cdot \left( \frac{3}{4} \right)^{4/3},

we can simplify each term within the parentheses before multiplying them together.

Let's simplify each term step by step:

\left( \frac{16}{9} \right)^{2/3}:

To simplify this term, we raise the fraction to the power of 2/3.

\left( \frac{16}{9} \right)^{2/3} = \left( \left( \frac{2^4}{3^2} \right)^{1/3} \right)^2 = \left( \frac{2^{4 \cdot 1}}{3^{2 \cdot 1}} \right)^2 = \left( \frac{2^4}{3^2} \right)^2 = \left( \frac{16}{9} \right)^2 = \frac{16^2}{9^2} = \frac{256}{81}

\left( \frac{4}{3} \right)^{4/3}:

Similarly, we raise the fraction to the power of 4/3.

\left( \frac{4}{3} \right)^{4/3} = \left( \left( \frac{2^2}{3^1} \right)^{1/3} \right)^4 = \left( \frac{2^{2 \cdot 1}}{3^{1 \cdot 1}} \right)^4 = \left( \frac{2^2}{3^1} \right)^4 = \left( \frac{4}{3} \right)^4 = \frac{4^4}{3^4} = \frac{256}{81}

\left( \frac{9}{16} \right)^{2/3}:

We raise the fraction to the power of 2/3.

\left( \frac{9}{16} \right)^{2/3} = \left( \left( \frac{3^2}{2^4} \right)^{1/3} \right)^2 = \left( \frac{3^{2 \cdot 1}}{2^{4 \cdot 1}} \right)^2 = \left( \frac{3^2}{2^4} \right)^2 = \left( \frac{9}{16} \right)^2 = \frac{9^2}{16^2} = \frac{81}{256}

\left( \frac{3}{4} \right)^{4/3}:

We raise the fraction to the power of 4/3.

\left( \frac{3}{4} \right)^{4/3} = \left( \left( \frac{3^1}{2^2} \right)^{1/3} \right)^4 = \left( \frac{3^{1 \cdot 1}}{2^{2 \cdot 1}} \right)^4 = \left( \frac{3^1}{2^2} \right)^4 = \left( \frac{3}{4} \right)^4 = \frac{3^4}{4^4} = \frac{81}{256

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Options c and d are correct.

A statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions.

A solution for an inequality in x is a number such that when we substitute that number for x we have a true statement.

According to the given question

We have an inequality

3x - 5 > 4x - 3

⇒ 3x - 4x > -3 + 5

⇒ -x > 2

⇒ x < -2

Hence, those numbers which are less than -2 will be the the solutions of the given inequality 3x - 5 > 4x - 3. Therefore options c and d are correct.

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Answer:

The file contains the solution to the question

Answer:

20\(c^{6}\)

Step-by-step explanation:

using the rule of exponents

\(a^{m}\) × \(a^{n}\) = \(a^{(m+n)}\)

given

(- 4c³)(- 5c³) ← remove parenthesis

= - 4 × c³ × - 5 × c³

= - 4 × - 5 × c³ × c³

= 20 × \(c^{(3+3)}\)

= 20\(c^{6}\)

Answer:

(1.5, 0.5)

Step-by-step explanation:

(5, 3) and (-2, -2)

5 - 2 / 2 = 1.5

-2 + 3 / 2 = 0.5

Rick would need to have at least 100 cars on hand to immediately be able to deliver any car (model, option package, color).

To immediately deliver any car, Rick Rich's dealership must have all possible combinations of Mercedes models, option packages, and colors in stock.

With five models, four option packages, and five colors, there are 5 x 4 x 5 = 100 possible combinations.

Therefore, Rick would need to have at least 100 cars on hand, each representing a unique combination of model, option package, and color. It's worth noting that having exactly 100 cars on hand would only allow Rick to deliver one of each possible combination, so it may be prudent to have additional inventory on hand to meet demand for more popular combinations.

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112 square inches make up the ABCD figure.

The area of trapezoid is given by :Area \($=\frac{1}{2} \times(a+b) h$\), where h is the trapezoid's height and a and b are the parallel opposite sides.

The area of trapezoid A B C D with height 7 inches and opposite parallel sides 14 inches and 18 inches is calculated from the provided image by:-

\(& \text { Area }=\frac{1}{2} \times(14+18) 7 \\\)

\(& \Rightarrow \text { Area }=\frac{1}{2}(32)(7) \\\)

\(& \Rightarrow \text { Area }=16 \times 7 \\\)

\(& \Rightarrow \text { Area }=112 \text { inches }^2\)

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84.13% of the printing jobs will be acceptable.

The new standard deviation required to achieve a minimum of 95% of jobs acceptable is 0.121.

The darkness of the print is measured quantitatively using an index. If the index is greater than or equal to 2.0 then the darkness is acceptable. Anything less than 2.0 means the print is too light and not acceptable. The machines print at an average darkness of 2.2 with a standard deviation of 0.20.

The mean of the darkness of the print is µ = 2.2 and the standard deviation is σ = 0.20.Therefore, the z-score can be calculated as; `z = (x - µ) / σ`.The index required for acceptable prints is 2.0. Thus, the percentage of prints that are acceptable can be calculated as follows;P(X ≥ 2.0) = P((X - µ)/σ ≥ (2.0 - 2.2) / 0.20)P(Z ≥ -1) = 1 - P(Z < -1)Using the standard normal table, P(Z < -1) = 0.1587P(Z ≥ -1) = 1 - 0.1587= 0.8413.

To find the new standard deviation, we can use the z-score formula.z = (x - µ) / σz = (2.0 - 2.2) / σz = -1Therefore, P(X ≥ 2.0) = 0.95P(Z ≥ -1) = 0.95P(Z < -1) = 0.05Using the standard normal table, the z-score value of -1.645 corresponds to a cumulative probability of 0.05. Hence,z = (2.0 - 2.2) / σ = -1.645σ = (2.0 - 2.2) / -1.645= 0.121.

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Answer:

The answer is H. 6

Step-by-step explanation:

The greatest water depth is 12 and the lowest water depth is 6

12-6=6

H. 6  

Answer:

k

Step-by-step explanation:

It’s the deepest dept

Value of variable x in the proportion is 6.

A fraction is used to express a portion of a whole or a ratio of two values. It is a mathematical statement known as a fraction bar or vinculum that has a numerator and a denominator separated by a horizontal line. The denominator is the total number of pieces that make up the whole, whereas the numerator is the number of parts that are being taken into account.

Given proportion;

10/10+x=35/56

Cross multiplying the proportion, we get

10×56=35×(10+x)

Multiplying the values on both side, we get

560=350+35x

Taking 350 on left hand side,

560-350=35x

35x=210

Dividing the equation by 35, we get

x=210/35

x=6

Hence, value of x in the proportion is 6.

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Answer:

0.00991, 42%, 68%, 3/4

Step-by-step explanation:

WAWWWAWAWAWAWAA

Answer:

For people that are doing this lesson on I-Ready

The points Lie on a straight line that goes through the origin.

The graph shows a relationship that is Proportional.

Step-by-step explanation:

Answer:

Step-by-step explanation:

lie on

goes

The following equations is equivalent to y = -5x² + 20x - 6 = > y = -5(x + 10)² + 494.

Factoring 5x2-20x-6

The first term is,  5x2  its coefficient is  5 .

The middle term is,  -20x  its coefficient is  -20 .

The last term, "the constant", is  -6

Step-1 : Multiply the coefficient of the first term by the constant   5 • -6 = -30

Step-2 : Find two factors of  -30  whose sum equals the coefficient of the middle term, which is   -20 .

     -30    +    1    =    -29

     -15    +    2    =    -13

     -10    +    3    =    -7

     -6    +    5    =    -1

     -5    +    6    =    1

     -3    +    10    =    7

     -2    +    15    =    13

     -1    +    30    =    29

Equation at the end of step2:   5x2 - 20x - 6  = 0

Parabolas have a highest or a lowest point called the Vertex .   Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) .   We know this even before plotting  "y"  because the coefficient of the first term, 5 , is positive (greater than zero).

Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two  x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.

What is  Parabolas ? Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.

For any parabola,Ax2+Bx+C,the  x -coordinate of the vertex is given by  -B/(2A) . In our case the  x  coordinate is   2.0000  

Plugging into the parabola formula   2.0000  for  x  we can calculate the  y -coordinate :

 y = 5.0 * 2.00 * 2.00 - 20.0 * 2.00 - 6.0

or   y = -26.000

Root plot for :  y = 5x2-20x-6

Axis of Symmetry (dashed)  {x}={ 2.00}

Vertex at  {x,y} = { 2.00,-26.00}

x -Intercepts (Roots) :

Root 1 at  {x,y} = {-0.28, 0.00}

Root 2 at  {x,y} = { 4.28, 0.00}

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Answer:

Let's denote:

- The number of orders Diane served as `D`

- The number of orders Sam served as `S`

- The number of orders Boris served as `B`

From the problem, we know:

1. `D + S + B = 54` (the total number of orders they served)

2. `D = S - 6` (Diane served 6 fewer orders than Sam)

3. `B = 2S` (Boris served 2 times as many orders as Sam)

We can substitute equations 2 and 3 into equation 1 to solve for the variables:

Substitute `D` and `B` in equation 1:

`(S - 6) + S + 2S = 54`

Combine like terms:

`4S - 6 = 54`

Add 6 to both sides:

`4S = 60`

Divide by 4:

`S = 15`

Now that we know `S = 15`, we can find `D` and `B` by substituting `S` into equations 2 and 3:

`D = S - 6 = 15 - 6 = 9`

`B = 2S = 2 * 15 = 30`

So, Diane served 9 orders, Sam served 15 orders, and Boris served 30 orders.

Answer:

f(-4) = -8

Step-by-step explanation:

Okay fo if f(n) is f(-4), then n = -4.

f(-4) = 3/4n - 5

f(-4) = 3/4 (-4) -5

f(-4) = -3 - 5

f(-4) = -8

Hope this helps and I hope u have an Amazing day!!

Answer:

12-4r

Step-by-step explanation:

4r<12 because r<3 so you flip it.

Deleted Answer-

Sorry i didnt see the picture was just gonna answer the value of x in general lol

Answer:

y = 4x + -1

Step-by-step explanation:

clearly seen.

Answer:

C

Step-by-step explanation:

A. 2*6 = 12 but 24p*2 doesn't equal 24p

B. 3*9 doesn't equal 12, and 3*21p doesn't equal 24p

C. 4*3 equals 12 and4*6p=24p

D. 6*2=12, but 6*3p doesn't equal 24p

I hope this helps!!!

The value of -3√5 as the opposite of the square root is -75.

What in mathematics is a square root?

The factor we can multiply by itself to obtain a given number is the number's square root.

               Square root is represented by the symbol sqrt, which stands for square root of, end square root. Squaring an integer is the reverse of finding its square root.

-3√5

The opposite of the square root is the square, so,

-3√5 = -3 × 5²

-3√5 = - 3 × 25

-3√5 = - 75

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we have that

the point (1,3)

answer is the option first

because

the x-coordinate is the quantity produced and the y-coordinate represent the revenue