Dennis bought 350 Chocolate bar and 350 candies to sell for a mini fair. The chocolate bars cost 12 cents more than the candies . If denise’s total order costs $126.00,find the cost of waxy chocolate bar and candy

Answer:

m=-5/4

Step-by-step explanation:

the slope is always defined as "the change in y over the change in x" m= y2-y1/x2-x1

Answer:

See below in bold.

Step-by-step explanation:

1. x^2 - 13x - 30

We need 2 numbers whose product is -30 and whose sum = -13.

They are  -15 and + 2:

Answer is (x - 15)(x + 2).

2.   2x^2 + 4x - 126

First we can take 2 out to give:

2(x^2 + 2x - 63)

Now we need 2 numbers whose product is - 63 and sum = +2.

These are +9 and - 7 so

Answer is  2(x - 7)(x + 9).

3. -30x^3 + 3x^2 + 9x

First we can take out -3x to give

-3x(10x^2 - x - 3)

Now we want  2 numbers whose product is 10*-3  = -30 and whose sum is -1. They are  -6 and +5 so we write the above as:

-3x(10x^2 + 5x - 6x - 3)

Now we factor the parentheses by grouping:

= -3x( 5x(2x + 1) - 3(2x + 1)

= -3x(2x + 1)(5x - 3)  Answer.

The answer to the second part is 12x^2 - 13x - 21.

Part 3

1, 18.

2. 6.

3. = 5(2(-3)^2 - 3*3*4 + 4^2) - 3)) - 2(-3)(-3 + 7(4) - 1) - 3*4^2

=  5*(67) - 2(72) - 48

= 143.

4.  (11m^2 - 7) - (6m^2 + 3m - 11) + (3m^2 - m - 9)

= 11m^2 - 7 - 6m^2 - 3m + 11 + 3m^2 - m - 9

=  8m^2 - 4m - 5

A = 8, B = 4 and C = 5.

The vertex of the parabola is (8, -1), and the axis of symmetry is x = 8.

To determine the vertex and axis of symmetry of the parabola y = x^2 - 16x + 63, we can use the formula:

x = -b / (2a)

Comparing the given equation to the standard form of a quadratic equation (y = ax^2 + bx + c), we can identify that a = 1, b = -16, and c = 63.

Using the formula, we substitute the values:

x = -(-16) / (2 * 1)

x = 16 / 2

x = 8

The x-coordinate of the vertex is 8. To find the y-coordinate, we substitute this value back into the original equation:

y = (8)^2 - 16(8) + 63

y = 64 - 128 + 63

y = -1

The vertex of the parabola is (8, -1). The axis of symmetry is the vertical line passing through the vertex, which is x = 8.

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Factor of scale (Dilation) Factor of scale (Dilation) How much larger or smaller the image will be depends on the scale factor in the dilation of a mathematical entity (compared to the original object).

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The row reduced echelon form of the matrix is \(\begin{bmatrix}1 & 0\0 & 1\end{bmatrix}\)

Row reduced echelon form (RREF) is an essential tool in solving systems of linear equations. It is a way of representing a matrix in a simplified form where all the leading coefficients are 1 and all the entries below and above the leading coefficients are zero. A row reduced echelon form calculator is a tool that simplifies the process of reducing a matrix to its RREF.

To row reduce a matrix, we use a sequence of operations that don't change the solutions of the linear system represented by the matrix. These operations include swapping two rows, multiplying a row by a nonzero scalar, and adding a multiple of one row to another row.

A row reduced echelon form calculator applies these operations step-by-step until the matrix is in its RREF. The calculator can handle any square or rectangular matrix, with any number of rows and columns.

Let's take a simple 2x2 matrix as an example:

\(\begin{bmatrix}2 & 3\1 & 2\end{bmatrix}\)

The first step is to make the leading coefficient of the first row equal to 1. We can achieve this by dividing the first row by 2:

\(\begin{bmatrix}1 & \frac{3}{2}\1 & 2\end{bmatrix}\)

The second step is to make the entry below the leading coefficient of the first row equal to zero. We can achieve this by subtracting the first row from the second row:

\(\begin{bmatrix}1 & \frac{3}{2}\0 & \frac{1}{2}\end{bmatrix}\)

The third step is to make the leading coefficient of the second row equal to 1. We can achieve this by multiplying the second row by 2:

\(\begin{bmatrix}1 & \frac{3}{2}\0 & 1\end{bmatrix}\)

The fourth and final step is to make the entry above the leading coefficient of the second row equal to zero. We can achieve this by subtracting 3/2 times the second row from the first row:

\(\begin{bmatrix}1 & 0\0 & 1\end{bmatrix}\)

This is the RREF of the original matrix.

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Complete Question:

How row reduced echelon form calculator is working for the matrix \(\begin{bmatrix}2 & 3\1 & 2\end{bmatrix}\)

the best estimate of the half-life, combining the two results, is approximately 13.7421 days with an uncertainty of approximately 1.3772 days.

To determine the best estimate of the half-life by combining the two results, we can use the weighted average method. The weights assigned to each measurement are inversely proportional to the squares of their uncertainties. Here's how to calculate the combined result:

Step 1: Calculate the weights for each measurement.

  w1 = 1/σ1^2

  w2 = 1/σ2^2

  Where σ1 and σ2 are the uncertainties associated with each measurement.

Step 2: Calculate the weighted values.

  w1 * t1 = w1 * (15.5 days)

  w2 * t2 = w2 * (16.2 days)

Step 3: Calculate the sum of the weights.

  W = w1 + w2

Step 4: Calculate the weighted average.

  T = (w1 * t1 + w2 * t2) / W

Step 5: Calculate the combined uncertainty.

  σ = √(1 / W)

The best estimate of the half-life is given by the value of T, and the combined uncertainty is given by the value of σ.

Let's calculate the best estimate using the given values:

For the first measurement:

σ1 = 2.3 days

For the second measurement:

σ2 = 1.5 days

Step 1:

w1 = 1/σ1^2 = 1/(2.3^2) ≈ 0.1949

w2 = 1/σ2^2 = 1/(1.5^2) ≈ 0.4444

Step 2:

w1 * t1 ≈ 0.1949 * 15.5 ≈ 3.0195

w2 * t2 ≈ 0.4444 * 16.2 ≈ 7.1993

Step 3:

W = w1 + w2 ≈ 0.1949 + 0.4444 ≈ 0.6393

Step 4:

T = (w1 * t1 + w2 * t2) / W ≈ (3.0195 + 7.1993) / 0.6393 ≈ 13.7421 days

Step 5:

σ = √(1 / W) ≈ √(1 / 0.6393) ≈ 1.3772 days

Therefore, the best estimate of the half-life, combining the two results, is approximately 13.7421 days with an uncertainty of approximately 1.3772 days.

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Answer:

3.5

Step-by-step explanation:

9(sin23)=3.51...

             =3.5(correct to nearest tenth)

Answer:

-6k(k-4)

Step-by-step explanation:

2k-2*4k-2*12

Factor out common terms:

2(k-4k-12)

Factor out k-4k-12:

2(-3(k+4))

Refine:

-6k(k-4)

The magnitude of the net electrostatic force on the 5.0−nC charge due to the other charges when the charge Q1 = 6.0 nC is at (0.30 m, 0), charge Q2 = −1.0 nC is at (0, 0.10 m), and charge Q3 = 5.0 nC is at (0, 0) is 6.21 N.

The value of the net electrostatic force on the 5.0-nC

charge due to the other charges when the charge Q1 = 6.0 nC is at (0.30 m, 0),

charge Q2 = −1.0 nC is at (0, 0.10 m), and

charge Q3 = 5.0 nC is at (0, 0) can be calculated as follows:

Given data,Charge Q1 = 6.0 nC is at (0.30 m, 0),

Charge Q2 = -1.0 nC is at (0, 0.10 m),

Charge Q3 = 5.0 nC is at (0, 0)

The formula to find out the force on the third charge Q3 is:

                      F = k * |Q1 * Q3| / r1^2 + k * |Q2 * Q3| / r2^2

Here, k = 8.99 × 10^9 N·m^2/C^2, Q1 = 6.0 nC, Q2 = -1.0 nC, Q3 = 5.0 nC

For the third charge Q3, the distance from Q1 is:

                                r1 = √(0.3^2 + 0^2) = 0.3 m

And the distance from Q2 is: r2 = √(0^2 + 0.1^2) = 0.1 m

Substituting all the given values in the formula:

                               F = 8.99 × 10^9 * [ (6.0 × 10^-9 * 5.0 × 10^-9) / 0.3^2 ] + 8.99 × 10^9 * [ (-1.0 × 10^-9 * 5.0 × 10^-9) / 0.1^2 ]F = 6.21 N

Therefore, the magnitude of the net electrostatic force on the 5.0−nC charge due to the other charges when the charge Q1 = 6.0 nC is at (0.30 m, 0), charge Q2 = −1.0 nC is at (0, 0.10 m), and charge Q3 = 5.0 nC is at (0, 0) is 6.21 N.

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Answer:

x=4.8

Step-by-step explanation:

9.6 is the diameter, and x is the radius. The radius is half of the diameter, so 9.6/2.

x=4.8

Answer:

the relationship is a function....

The coordinate of point B from the given coordinates is (6, -9)

The formula for calculating the midpoint of coordinates is expressed according to the formula:

M(x, y) = {(x₁+x₂)/2, (y₁+y₂)/2}

Given the coordinate points M (2, -2) and A (-2, 1)

Substitute

2 = (x₁+x₂)/2

2 = -2+x₂/2

4 = -2 + x₂

x₂ = 6

Similarly;

Substitute

-2 = (1+y₂)/2

-4 = 1+x₂/2

-8 = 1 + y₂

y₂ = -9

Hence the coordinate of point B from the given coordinates is (6, -9)

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Answer:(6,-5)

Step-by-step explanation:deta math

Step-by-step explanation:

mn=1/-2

i hope it helps you

Answer: The answer is Linear

Step-by-step explanation:

can i have brainliest

Answer:

It is non linear..

As highest power is 2

Step-by-step explanation:

You can see in Detail in attachment i had given..

hey yes...i am not sure if it's 2x or x^2

If it's 2x then answer is linear..

If it's x^2 then answer is non linear

Hope it helps you

Have a nice day

Answer:

< 3 and < 5

Step-by-step explanation:

Others are not

The point (11,11) will lie on the graph of the function f(x) = IxI

What is coordinate?

The x-coordinate informs us of a point's separation from the y-axis, which is the vertical axis. The abscissa is another term for the x-coordinate. The y-coordinate shows how far a point is from the horizontal axis, or x-axis. The term "ordinate" also applies to the y-coordinate.

the function: f(x) = IxI

The function will have every positive and negative integer contained within itself.

So coordinates of another point with the same y value (11,11) will lies on the graph so as (-11,11).

Hence point (11,11) will lie on the graph of the function f(x) = IxI

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Answer:

Uhmmm You Didn't Say The Formula...

By solving the quadratic equation using completing the square method we got that Penelope should have added 4 to both sides instead of adding 1.

Any equation of the form \(ax^2+bx+c=0\) where x is variable and a, b, and c are any real numbers where a ≠ 0 is called quadratic equation .

Given work of Penelope is

\($$\begin{aligned}&f(x)=4 x^{2}+8 x+1 \\&-1=4 x^{2}+8 x \\&-1=4\left(x^{2}+2 x\right) \\&-1+1=4\left(x^{2}+2 x+1\right) \\&0=4(x+2)^{2} \\&0=(x+2)^{2} \\&0=x+2 \\&-2=x\end{aligned}$$\)

Now we can see that Penelope determined the solutions of the quadratic function by completing the square. so he must have been done as following

\($$\begin{aligned}&f(x)=4 x^{2}+8 x+1 \\&-1=4 x^{2}+8 x \\&-1=4\left(x^{2}+2 x\right) \\&-1+4=4\left(x^{2}+2 x+1\right) \\&3=4(x+2)^{2} \\&\frac{3}{4} =x+2)^{2} \\&\frac{\pm\sqrt3}{2} =x+2 \\&\frac{-2\pm\sqrt3}{2} =x\end{aligned}$$\)

By solving the quadratic equation using completing the square method we got that Penelope should have added 4 to both sides instead of adding 1.

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Answer:

C) Penelope should have added 4 to both sides instead of adding 1.

Step-by-step explanation:
Got it right on edge! Good Luck <3

Answer:

x=7.3

x=\(7\frac{1}{3}\)

x=\(\frac{22}3}\)

just in different form

x - 7 =-x ÷ 2 + 4

x - 7 = \(-\frac{1}{2}\) x + 4

2x - 14 = -x + 8

2x + x = 8 + 14

3x = 22

x=\(\frac{22}3}\)

x=7.3

x=\(7\frac{1}{3}\)

Answer:

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

The bottom part is a cylinder with:

The top is a cone with:

Find the total volume of the solid by adding up the volumes.

Volume of the cylinder:

Volume of the cone:

Volume of the solid:

The volume of the solid is 2880.43 ft³ .

The object is made up of a cylinder and a cone. The volume of the object would be the sum of the volume of the cylinder and the volume of the cone.

Volume of the cylinder = πr²h

Where:

π = pi = 3.14

r = radius = diameter / 2 = 16 / 2 = 8

h = height = 12.5

3.14 x 8² x 12.5 = 2512 ft³

Volume of a cone = 1/3 πr²h

H = 18 - 12.5 = 5.5 feet

1/3 x 3.14 x 8² x 5.5 = 368.43 ft

Volume of the solid = 2512 ft³ + 368.43 ft = 2880.43 ft³

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Answer:

just solve equation and you will get to know that

15 is d becoz both 8 gets cancelled

and

16 is b becoz then equation is simplified to x = smthng

Answer:

2.

Step-by-step explanation:

This is called the ambibuous case where  2 sides are given and angle opposite one of these sides.

2 traingles are possible.

Answer: $126.00, the difference is 54.00

Step-by-step explanation:

126 ∛·÷÷∈∈πΔ≈∨∨⊃∪∡∠∉∉⇔βββ

The expected number of cards Percy turns over before stopping = 3.78≈3

Probability refers to the chance of occurrence of an event E.

Let E be an event and P(E) be the probability of E occurring.

Then, P(E) = \(\frac{Number Of Favourable Outcomes Of E}{Total Number Of Outcomes}\)

Now, given a 52-card deck; cards are turned over till a spade comes up.

Then, the number of cards turned over is the sum of all card over 'kth' card, having probability \(P_{k}\), where, the card 'k' comes up if no previous card was a spade.

=> \(P_{k}=\frac{\binom{39}{k}}{\binom{52}{k}} = \frac{39!(52-k)!}{52!(39-k)!}\)

\(\sum^{39}_{k=0} (P_{k})=\frac{39!}{52!} \sum^{39}_{k=0}(\frac{(52-k)!}{(39-k)!}=\frac{53}{14} = \frac{52+1}{13+1}=3.78\)

Hence, after 3.78≈3 cards, Percy will stop turning the cards.

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Answer:

Answer:7

Step-by-step explanation:

The coordinate of P is ( 14/5, 23/5, 28/5)

For the line AB, the direction vectors are

l= 2-1= 1, m=3-1= 2 and n= 4-2= 2

so, the equation of the line AB can be given by

\(  \text{$\frac{x-1}{1}$ = $\frac{y-1}{2}$ = $\frac{z-2}{2}$ } \)

let a point be P (x,y,z). lying on the line AB.

coordinate of the general point in AB can be given by

\(  \text{$\frac{x-1}{1}$ = $\frac{y-1}{2}$ = $\frac{z-2}{2}$ = t } \)

so, x= t+1, y= 2t+1, z= 2t+2

so, P (x,y,z) can be P (t+1, 2t+1, 2t+2). Another point is C ( 4, 2, 2 ).

the direction ratios of the line CP is

l1= t+1-4 = t-3

m1= 2t+1-2 = 2t-1

n1 = 2t+2-2 = 2t

Dot product of the direction ratios of two orthogonal lines are 0.

so, 1(t-3)+2(2t-1)+2(2t)=0

or, t=9/5

so, x= (9/5)+1 = 14/5

     y= (9/5)*2 + 1= 23/5

     z= (9/5)*2 + 2 = 28/5

so, the coordinate of P is ( 14/5, 23/5, 28/5).

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The external finance needed=$33,689

PRO FORMA INCOME STATEMENT

15%Growth

20%

25%

Sales

$ 1,127,874

$ 1,176,912

$ 1,225,950

Costs

$ 911,904

$ 951,552

$ 991,200

Other expenses

$ 23,069

$ 24,072

$ 25,075

EBIT

$ 192,901

$ 201,288

$ 209,675

Interest Paid

$14,740

$14,740

$14,740

Taxable Income

$ 178,161

$ 186,548

$ 194,935

Taxes(21%)

$ 37,414

$ 39,175

$ 40,936

Net Income

$ 140,747

$ 147,373

$ 153,999

Dividend

$ 45,705

$ 47,856

$ 50,008

Added to RE

$ 95,042

$ 99,517

$ 103,991

EFN FOR 15% SALES GROWTH

(A).Required increase in assets=(Current total asset)* (percentage increase in sales)

The required increase in assets=622440*0.15= $93,366

(B).Spontaneous increase in liabilities=(accounts payable)* (percentage increase in sales)=71720*0.15= $ 10,758

(C)Increase in retained earning =$95,042 (From Pro Forma income statement )

External Finance Required=(A)-(B)-(C)=$93366-$10758-$95042= $ (12434)

A

Total assets increase

$ 93,366

B

Increase in accounts payable

$ 10,758

C

Added to retained Earnings

$95,042

D=A-B-C

ExternalFinance Needed(EFN)

$ (12,434)

No External Finance is needed . Retained earning will provide the necessary capital>

EFN FOR 20% SALES GROWTH

(A).Required increase in assets=(Current total asset)* (percentage increase in sales)

Required increase in assets=622440*0.20= $ 124,488

(B).Spontaneous increase in liabilities=(accounts payable)* (percentage increase in sales)=71720*0.20= $14,344

(C)Increase in retained earning =$99517(From Pro Forma income statement )

External Finance Required=(A)-(B)-(C)=$124488-$14344-$99517= $ 10627

A

Total assets increase

$ 124,488

B

Increase in accounts payable

$ 14,344

C

Added to retained Earnings

$99,517

D=A-B-C

ExternalFinance Needed(EFN)

$ 10,627

External Finance Needed=$10,627

EFN FOR 25% SALES GROWTH

(A).Required increase in assets=(Current total asset)* (percentage increase in sales)

Required increase in assets=622440*0.25= $ 155,610

(B).Spontaneous increase in liabilities=(accounts payable)* (percentage increase in sales)=71720*0.25= $ 17,930

(C)Increase in retained earning =$103,991(From Pro Forma income statement )

External Finance Required=(A)-(B)-(C)=$155610-$17930-$103991= $ 33,689

A

Total assets increase

$ 155,610

B

Increase in accounts payable

$ 17,930

C

Added to retained Earnings

$103,991

D=A-B-C

ExternalFinance Needed(EFN)

$ 33,689

External finance needed=$33,689

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Since the calculated F value of 31.47 is much greater than the critical value of 3.13, we reject the null hypothesis at the 0.05 level of significance. This means that there are statistically significant differences in prices between at least two of the three stores.

Hypotheses:

H₀: There are no systematic price differences between the stores

Hₐ: There are systematic price differences between the stores

The degrees of freedom for between-groups (stores) is

dfB = k - 1 = 3 - 1 = 2, where k is the number of groups (stores).

The degrees of freedom for within-groups (products within stores) is

dfW = N - k = 15 x 3 - 3 = 42, where N is the total number of observations.

Assume the significance level is 0.05.

The F-statistic is calculated as:

F = (SSB/dfB) / (SSW/dfW)

where SSB is the sum of squares between groups and SSW is the sum of squares within groups.

ANOVA table

Kindly find the table on the attached image

To determine whether to reject or fail to reject H0, compare the F-statistic (F) to the critical value from the F-distribution with dfB and dfW degrees of freedom, at the α significance level.

The critical value for F with dfB = 2 and dfW = 42 at 0.05 significance level is 3.13

Conclusion:

Since the calculated F value of 31.47 is much greater than the critical value of 3.13, we reject the null hypothesis at the 0.05 level of significance. This means that there are statistically significant differences in prices between at least two of the three stores.

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Question is incomplete, find the complete question below

You know that stores tend to charge different prices for similar or identical products, and you want to test whether or not these differences are, on average, statistically significantly different. You go online and collect data from 3 different stores, gathering information on 15 products at each store. You find that the average prices at each store are: Store 1 xbar = $27.82, Store 2 xbar = $38.96, and Store 3 xbar = $24.53. Based on the overall variability in the products and the variability within each store, you find the following values for the Sums of Squares: SST = 683.22, SSW = 441.19. Complete the ANOVA table and use the 4 step hypothesis testing procedure to see if there are systematic price differences between the stores.

Step 1: Tell me H0 and HA

Step 2: tell me dfB, dfW, alpha, F

Step 3: Provide a table

Step 4: Reject or fail to reject H0?

The Root Cause Analysis technique used to identify the underlying causes of a problem is the Ishikawa diagram. It is a graphical tool also known as the Fishbone diagram or Cause and Effect diagram. The other techniques mentioned, such as the Rule of 72, Marginal Analysis, and Bayesian Thinking, are not specifically associated with Root Cause Analysis.

Root Cause Analysis is a systematic approach used to identify the fundamental reasons or factors that contribute to a problem or an undesirable outcome. It aims to go beyond addressing symptoms and focuses on understanding and resolving the root causes. The Ishikawa diagram is a commonly used technique in Root Cause Analysis. It visually displays the potential causes of a problem by organizing them into different categories, such as people, process, equipment, materials, and environment. This diagram helps to identify possible causes and facilitates the investigation of relationships between different factors. On the other hand, the Rule of 72 is a mathematical formula used to estimate the doubling time or the time it takes for an investment or value to double based on compound interest. Marginal Analysis is an economic concept that involves examining the additional costs and benefits associated with producing or consuming one more unit of a good or service. Bayesian Thinking is a statistical approach that combines prior knowledge or beliefs with observed data to update and refine probability estimates. In the context of Root Cause Analysis, the Ishikawa diagram is the technique commonly used to visually analyze and identify the root causes of a problem.

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