A safe-breaker is attempting to crack a safe with a 7-combination code. So far they have worked out that: the first digit is double the third digit the code is a palindrome (it reads the same if it is reversed) the fourth number is 7 the third number is one less than the sixth number the second number is 3 less than the fourth number.

Tracy need 5 weeks to save enough money to buy a new guitar.

Given that,

Tracy is saving to buy a new guitar. Which having costs $253.77(including tax).

Tracy has already saved $136. 27.

Now she needs = 253. 77- 136. 27

                          = $117.50

she can save each week = $23. 50

Tracy will take weeks to save enough money

     = [tex]\frac{117.50}{23.50}[/tex]

     = 5 weeks.

Therefore, Tracy need 5 weeks to save enough money to buy a new guitar.

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The minimum unit cost is 7738 when the function is C(x)=1.2x²-600x+82,738

A company's unit cost is the cost of producing, storing, and selling one unit of a specific product. Unit costs encompass all fixed and variable production costs. A cost unit is a quantity measuring unit for a product or service.

A unit cost is the overall cost incurred by a business to manufacture, store, and sell one unit of a specific product or service. Unit costs are the same as cost of goods sold (COGS). This accounting metric incorporates all fixed and variable expenses related with the manufacture of a good or service.

Given,

C(x)=1.2x²-600x+82,738

Minimum value [tex]C_{min}[/tex]=c-(b²/4a)

Where a=1.2, b=-600, c=82738

[tex]C(x)_{min}[/tex]=82738-((-600)²/4(1.2))

=82738-(360000/4.8)

=7738

Therefore, the minimum unit cost is 7738.

Hence, the minimum unit cost is 7738 when the function is C(x)=1.2x²-600x+82,738

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Answer:

attached in the file

Answer:

AB = 8cm ; BC = 6.5 cm

Step-by-step explanation:

BC = x- 1.5

x * (x-1.5) = 52

x^2 - 1.5x - 52 = 0

Discriminant = 2.25 -4(-52) = 2.25 + 208 = 210.25

We are searching only positive value

(1.5 + 14.5)/2 = 16 / 2 = 8 cm

AB = 8 cm

BC = 8 - 1.5 = 6.5 cm

The expression "(-3 1/4d + 3/5) - (2 7/8d + 7/10) is equivalent to "negative forty nine over 8 times d minus one tenth" or -49/8d - 1/10.

An algebraic expression is a number, variable, or the combination of both and operational symbols.

To determine the equivalent of the expression "quantity negative three and one fourth times d plus three fifths end quantity minus quantity two and seven eighths times d plus seven tenths end quantity" or simply (-3 1/4d + 3/5) - (2 7/8d + 7/10), combine all like terms and perform the necessary operations.

(-3 1/4d + 3/5) - (2 7/8d + 7/10)

⇒ -3 1/4d + 3/5 - 2 7/8d - 7/10

⇒ (-3 1/4 - 2 7/8)d + 3/5 - 7/10

⇒ (-13/4 - 23/8)d + 6/10 - 7/10

⇒ (-26/8 - 23/8)d - 1/10

⇒ -49/8 d - 1/10

Hence, the equivalent expression is "negative forty nine over 8 times d minus one tenth" or -49/8d - 1/10.

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The sampling technique used in the given scenario is Systematic sampling technique.

Systematic sampling technique

Systematic sampling is a probability sampling technique in which researchers randomly choose individuals of a population at regular intervals. The sampling interval, or fixed periodic interval, is calculated by dividing the population size by the required sample size.

Types of Systematic sampling technique

A systematic sample can be generated in three ways:

Systematic random sampling: The most common type of systematic sampling in which the subject is chosen at a predefined interval.

Linear systematic sampling: Instead of picking the sample interval at random, a skip pattern is constructed by following a linear path.

Circular systematic sampling: It occurs when a sample begins from the same spot where it ends.

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-3 is less than 2

< is the symbol

There is exactly one more real solution or there is exactly one more complex solution

Given,

One solution to a quadratic equation is x = -5/3

We have to find the correct statements from the given ones;

A polynomial of degree two is a quadratic equation.

This implies that a polynomial has two solutions.

We already have an answer to the query, which is a true root.

Then, the additional response that we lack can appear in the form of two responses.

It may be a real root or a complicated root, depending on the situation.

The following is the response to this query:

There is exactly one more real solution or there is exactly one more complex solution

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There may be an association, but not a correlation unless the variables are quantitative. There could be a correlation between the average number of hours of TV watched per person and number of crimes committed per year. Even if there is a relationship, one does not cause the other.

Correlation is a statistical measure that expresses the extent to which two variables are linearly related (meaning they change together at a constant rate).

What are qualitative and quantitative variables?

The variables are classified as qualitative or quantitative as follows:

Qualitative variables assume labels as values.

Quantitative variables assume numbers as values.

The relevance of the variables according to association and correlation are given as follows:

Qualitative variables can have association.

Quantitative variables can have correlation.

The variables in this problem are given as follows:

Television watching -> yes/no -> qualitative.

Crimes committed -> yes/no -> qualitative.

As they are qualitative variables, they can have association, and thus there is no correlation between the two variables

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Answer:

3

Step-by-step explanation:

Answer:

Step-by-step explanation:

x = -9/5 = -1.800 or

x = 0

The length of the photo having a width to length ratio of 2:3  is 6.9 cm.

Length is the distance between two points.

To calculate the length of the photo, use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the length of the photo is 6.9 cm.

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Step-by-step explanation:

the x-intercept is the point, where the curve intercepts the x-axis (that means y = 0).

the y-intercept is the point, where the curve intercepts the y-axis (that means x = 0).

y = 10 - 2x

when x = 0, that means y = 10 - 2×0 = 10.

when y = 0, that means 0 = 10 - 2x, 2x = 10, x = 5

x-intercept = (5, 0)

y-intercept = (0, 10)

4y + 9x = 18

x = 0, 4y = 18, y = 18/4 = 9/2 = 4.5

y = 0, 9x = 18, x = 18/9 = 2

x-intercept = (2, 0)

y-intercept = (0, 4.5)

6x - 2y = 44

3x - y = 22

x = 0, -y = 22, y = -22

y = 0, 3x = 22, x = 22/3 = 7 1/3

x-intercept = ( 7 1/3, 0)

y-intercept = (0, -22)

2x = 4 + 12y

x = 2 + 6y

x = 0, 6y = -2, y = -2/6 = -1/3

y = 0, x = 2 + 6×0 = 2

x-intercept = (2, 0)

y-intercept = (0, -1/3)

Answer:

hi do you mind making the question a bit clear? where is the table?

Step-by-step explanation:

The value  of x and y is  3

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equals sign =. [2] [3] In other languages, the word equation and its cognates may have slightly different meanings; for example, in French, an équation is defined as containing one or more variables, whereas in English, an equation is any well-formed formula consisting of two expressions linked by an equals sign.

Let the equations be

x + 3y = 8    ..............(1)

x + y = 2    ..............(2)

substracting equation 1 from 2

(x + 3y) - (x + y ) = 8 - 2

x + 3y - x + y = 6

3y - y = 6

2y =6

y = 6/2

y = 3

multiply the equation 2  with value of 3

x + y=2*3

x+y =6

x+3 = 6

x = 6 - 3

x = 3

Therefore the value of x and y is both are 3

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Answer:

Step-by-step explanation:

Ok:

If the two books together costs $28.48 and one of them cost $7.44 Subtract to get the other book's price

2. 28.45-7.44=$21.01

3. Answer: The cost of the other one is $21.01

The correct option is [tex]6x^2+3x[/tex] which is the area of triangle. It can be obtained by the formula of area of triangle and algebriac multiplication.

What is the are formula of area of a triangle?

Area of any shape is the measure of the 2 dimentional space occupied by that shape. Its SI unit is [tex]m^2[/tex].  Area of the triangle is given by the following formula:

[tex]A=\frac{1}{2}bh[/tex]

Here, A is the area, b is the base, and h is the height.

Substitute 4x+2 for b and 3x for h in the above equation.

[tex]A=\frac{1}{2}(4x+2)(3x)[/tex]

Now, multiply using algebriac multiplication as follows:

Initially, use distributive property as follows:

[tex]A=\frac{1}{2}[(4x)(3x)+(2)(3x)][/tex]

Now, multipliy and again open brackets as follows

[tex]A=\frac{1}{2}(12x^2+6x)\\=6x^2+3x[/tex]

This gives the area of the triangle is [tex]6x^2+3x[/tex]. Hence, the correct option is the last option.

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Answer:

d

Step-by-step explanation:

Rachel's total income is $13320.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Rachel works at 'Best Price Cars' and earns $9 per hour plus 4% commission on every car she sales.

Commission = 9 x 0.04 = $0.36

Commission on 36000 cars = $12960

By working 40 hours he earn = 9 x 40 = $360

Hence, the total income = 360+ 12960 = $13320

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The half-life of vanadium-48 is 16 days.

What is half life?

The half-life formula is used to determine the half-life of a material whose quantity is degrading or decreasing. When a substance degrades, the rate of decay varies depending on the quantity present. It is exceedingly challenging to determine the life of a decaying substance since when the quantity of the chemical decreases, the pace of decay likewise slows down. In order to offer the appropriate metrics to quantify the life of decomposing material, the half-life formula is applied.

According to law of radio active decay, IN=N

N-- amount of sample present

N1--- initial amount of sample

Decay 0 constant

Half life = 16 days

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The following are crucial factors in hypothesis testing:

In statistics, the process of hypothesis testing involves putting an analyst's presumption about a population parameter to the test.

Thus, before conducting the hypothesis testing, a null hypothesis as well as an alternative hypothesis are established.

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The approximate change per day since the lowest price occurred 35 days ago, is a. $2.08.

The approximate average change can be found by the formula :

= ( Current price of stock - Lowest price ) / Number of days since lowest price

Current price of Dagofi Radar stock = $ 130. 58 closing price

Lowest price = $ 57. 71

The approximate average change is:

= ( 130. 58 - 57. 71) / 35

= 72. 87 / 35

= $ 2.08

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Missing part of question:
Consider today's stock listing for Dagofi Radar, shown below.

52 wk High

52 wk Low

Symbol

Div.

Close

Net Change

162.22

57.71

DFR

9.75

130.58

-2.64

The quadratic function which models the motion of the penny is

h(t) = -4.9t² -0.327761 t + 52.6  

and the maximum height reached is 57.43

h(t) = - 0.5gt² + vt + h

g = 9.8 m/s²

h = 52.6 m

v = ?

For v,

h(t) = -0.5gt² + vt + 52.6

h(t) = - 4.9t² + vt + 52.6

Time when penny hits the ground ; t = 3.31

h(3.31) = 0

0 = -4.9(3.31)² + v(3.31) + 52.6

0 = -53.68489 + 3.31v +52.6

3.31v = -1.08489

v = -1.08489/3.31

v = -0.327761 m/s

Therefore,

h(t) = -4.9t² -0.327761 t + 52.6

2.) Maximum height of the penny above the ground

t = 0.85 seconds

h(0.85) = -4.9(0.85^2)-0.327761 (0.85) + 52.6

Maximum height reached =  57.43 meters

Therefore, the maximum height reached is 57.43 meters.

An object changing its position with regard to time is referred to as motion. Motion is mathematically characterised in terms of displacement, distance, velocity, acceleration, and speed as well as the observer's frame of reference and the measurement of the change in the body's position with respect to that frame over time. Kinematics is the area of physics that studies how motion is affected by forces, whereas dynamics is the area that studies how motion is affected by forces.

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The quotient is 2x² + 10x − 5, and the remainder is 0.

What is synthetic division?

Synthetic division is a method in algebra for manually performing Euclidean division of polynomials that requires less writing and fewer calculations than long division. It is typically taught for division by linear monic polynomials, but the method can be applied to any polynomial.

The given polynomial is (2x³ + 4x² - 35x + 15) and we have to divide this polynomial by (x - 3).

By using synthetic division

   2x³ + 4x² - 35x + 15

Take the constant term of the divisor with the opposite sign and write it to the left

     3 |   [tex]x^3[/tex]    [tex]x^2[/tex]     [tex]x^1[/tex]      [tex]x^0[/tex]

        |   2     4     -35     15

   ----|----------------------------

Write down the first coefficient as it is

Multiply the entry in the left part of the table by the last entry in the result row (under the horizontal line).

Add the obtained result to the next coefficient of the dividend, and write down the sum.

   3 |   2            4     -35     15

      |         3.2 = 6

 ----|----------------------------

         2           10    

Multiply the entry in the left part of the table by the last entry in the result row (under the horizontal line).

Add the obtained result to the next coefficient of the dividend, and write down the sum.

 3 |   2      4     -35     15

    |           6       30

-----|----------------------------

         2    10       -5

Again, we get

3 |   2      4     -35     15

    |           6      30   -15

-----|----------------------------

         2    10     -5      0

We have completed the table and have obtained the following resulting coefficients: 2,10,−5,0.

Thus, the quotient is 2x² + 10x − 5, and the remainder is 0.

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Answer:

C

Step-by-step explanation:

If we use the distributive property for 4 (2x + 1), we see that 4 (2x) = 8x and that 4 (1) = 1. That means 4 (2x + 1) = 8x + 4 which is not equivalent to 2x + 4y. So this limits our answer to either C or D. C is the correct answer because if we use the distributive property again here for 4 (2x + y), we see that 4 (2x) = 8x and 4 (y) = 4y. That means that 4 (2x + y) = 8x + 4y which is the answer we're looking for.

May I please have brainliest for this? Thank you very much!

Number of kids ticket is 40

What do you mean by system of linear equation?

A set of two linear equations with two variables is a system of linear equations. There are infinitely many possible solutions to a linear equation with two variables. There can be a single solution to a system of two linear equations with two variables that satisfies both solutions. It is necessary to combine two equations with two variables into one equation with one variable while solving a system of equations.

Total number of tickets = 60

Cost of 1 kid ticket = $3

Cost of 1 adult ticket = $5

Total profit = $220

Let number of kid tickets = x

number of adult tickets = y

According to question:

x + y = 60 ......(1)

3x + 5y = 220 ........(2)

Substitute the value of x from eq(1) to eq(2)

3(60 - y) + 5y = 220

180 - 3y + 5y = 220

180 + 2y = 220

2y = 220 - 180

2y = 40

y = 40/2

y = 20

Substitute this value of y in eq(1)

x + 20 = 60

x = 60 - 20

x = 40

Therefore, number of kids ticket is 40

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The mean and the standard deviation of the sampling distribution of x are given as follows:

The mean and the standard deviation of the sampling distribution of x are defined according to the Central Limit Theorem, which states that:

The parameters for this problem are given as follows:

Hence the standard deviation for the sampling distribution of x is given as follows:

s = 60/sqrt(10) = 19 seconds.

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The temperature decrease for every meter that the mountain climber's altitude increases is given by:

-100 ºF.

The function that models this situation is a linear function, which has the format defined as follows:

y = mx + b.

In which the coefficients are given as follows:

In the context of this problem, the function is defined as follows:

f(a) = -100a + 75.

Hence the slope of the function is of:

-100.

Representing the temperature decrease for each meter of altitude increase of the climber.

The function is defined as:

f(a) = -100a + 75.

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