Part B

Morgan said that the difference between the heaviest loaf of bread and the lightest loaf of bread is 1 1/2 ounces. Do you agree with Morgan? Explain


also this is worth 35 points pls help!!

Answer:

[tex]\textsf{i)} \quad \text{T} &=2 \pi r^2 + \dfrac{26}{r}[/tex]

ii)  radius = 1.27 cm (3 sf)

   height = 2.55 cm (3 sf)

Step-by-step explanation:

[tex]\text{Volume of a cylinder}=\pi r^2 h \quad \text{(where r is radius and h is height)}[/tex]

Given volume = 13 cm³, rewrite the equation making h the subject:

[tex]\implies 13=\pi r^2 h[/tex]

[tex]\implies h=\dfrac{13}{\pi r^2}[/tex]

Substitute found expression for h into the Surface Area equation to find the expression for the total surface area, T:

[tex]\begin{aligned}\text{Surface Area of a cylinder} & =2 \pi r^2 + 2 \pi r h\\\implies \text{Surface Area} & =2 \pi r^2 + 2 \pi r \left(\dfrac{13}{\pi r^2}\right)\\& =2 \pi r^2 + \dfrac{26 \pi r}{\pi r^2}\\ \implies \text{T} &=2 \pi r^2 + \dfrac{26}{r}\end{aligned}[/tex]

To find the radius of the minimum surface area, differentiate T with respect to r:

[tex]\begin{aligned}\text{T}& =2 \pi r^2 +26r^{-1}\\\implies \dfrac{dT}{dr} & =(2)2 \pi r^{(2-1)}+(-1)26r^{(-1-1)}\\ & =4 \pi r-26r^{-2}\\ & =4 \pi r-\dfrac{26}{r^2}\\ & = \dfrac{4 \pi r^3-26}{r^2} \end{aligned}[/tex]

Set it to zero, and solve for r:

[tex]\begin{aligned}\dfrac{dT}{dr} & = 0 \\\implies \dfrac{4 \pi r^3-26}{r^2} & = 0 \\\impliles 4 \pi r^3-26 & = 0 \\4 \pi r^3 & = 26 \\r^3 & = \dfrac{13}{2 \pi} \\r & = \sqrt[3]{\dfrac{13}{2 \pi}} \end{aligned}[/tex]

To find the height, substitute the found value of r into the equation for height (found previously):

[tex]\begin{aligned}h & =\dfrac{13}{\pi r^2} \\\implies h & =\dfrac{13}{\pi \left(\sqrt[3]{\dfrac{13}{2 \pi}}\right)^2} \\& =2.548499134\end{aligned}[/tex]

Therefore,

On August 5, 1861, President Lincoln imposes the first federal income tax by signing the Revenue Act. Strapped for cash with which to pursue the Civil War, Lincoln and Congress agreed to impose a 3 percent tax on annual incomes over $800.

The equation used for finding the length of Harold's bridge will be 3H-7M=0 Length will be H = 1/√2

The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.

Here we have the following data:-

Matthew's bridge length is

 1(1/2)=3/2

Now we have that Harold made a bridge that was 2 1/3 times as long as Matthew’s. From this data the equation will be:-

[tex]H=2\dfrac{1}{3}M\\\\\\H-\dfrac{7}{3}M=0\\\\\\3H-\dfrac{7\times 3}{2}=0\\\\\\H=\dfrac{1}{\sqrt{2}}[/tex]

The equation used for finding the length of Harold's bridge will be 3G-7M=0 Length will be H = 1/√2

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The value of variable x of provided quadratic function at h(x) = 18 are 6.56 and -0.13. These points explain solution of the equation.

Quadratic formula is the formula which is used to find the roots of a quadratic equation.The standard form of the quadratic equation is,

ax²+bx+c=0

For the above equation, the quadratic formula can be given as,

[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

The equation of variable x is given as,

h(x) = 7x²-45x + 12,

The value of h(x) = 18 has to be found out. Put 18 on the place of h(x) in the above equation.

18 = 7x²-45x + 12

0= 7x²-45x + 12-18

0=7x²-45x -6

Find the roots of the equation using the quadratic formula:

[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\dfrac{-(-45)\pm\sqrt{(-45)^2-4(7)(-6)}}{2(-6)}\\x=6.56,-0.13[/tex]

Thus, the value of variable x of provided quadratic function at h(x) = 18 are 6.56 and -0.13. These points explain the solution of the equation.

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The linear equation that passes through points (-2,7) and (6,-9) is given by:

y = -2x + 3

A linear function is modeled by:

y = mx + b

In which:

The line passes through points (-2,7) and (6,-9), hence the slope is given by:

m = (-9 - 7)/(6 - (-2)) = -2.

Hence, since when x = -2, y = 7, when x = 0, y = 7 - 2 x (0 - (-2)) = 3, which means that the y-intercept is of b = 3, and the equation is given by:

y = -2x + 3.

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Answer:

im not really sure what that means im so sorry

Step-by-step explanation:

Answer:

we are given A collector’s item is purchased for $150so, its value increases by 3% each yearso, t is time in yearsLet's assume cost of item after t years is C(t)so, we can use formula now, we can plug values so, equation is After doubling C(t)=2*150=300so, we can set C(t)=300and then we can solve for twe get so, doubling time is 23.44977 years

Answer:

B works ; it starts at 150, is positive, and slowly reaches 300

Step-by-step explanation:

Edge

For the rectangle to have a perimeter of 36 units, the sum of the length and the width must equal 18 units

The given parameter is:

Perimeter = 36 units

The perimeter of a rectangle is:

Perimeter = 2 * (Length + Width)

So, we have;

36 = 2 * (Length + Width)

Divide both sides by 2

Length + Width = 18

This means that for the rectangle to have a perimeter of 36 units, the sum of the length and the width must equal 18 units

So, the possible table of values is:

Length  Width

  5           13

  8           10

  9           9

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Answer:

The independent variable is m, while the dependent variable is t.

Step-by-step explanation:

An independent variable is a variable that does not rely on another variable to change its outcome. In this case, the variable 'm' does not rely on the ride's total cost.

The dependent variable is a variable that depends on another variable to give its amount. In this case, 't' is the dependent variable, because it depends on how many miles were driven, in order to provide the correct answer.

t = $6 + ($1.50 x m)

3 miles: t = $6 + ($1.50 x m) or $10.50 = $6 + ($1.50 x 3)

4 miles: t = $6 + ($1.50 x m) or $12 = $6 + ($1.50 x 4)

5 miles: t = $6 + ($1.50 x m) or $13.50 = $6 + ($1.50 x 5)

6 miles: t = $6 + ($1.50 x m) or $15 = $6 + ($1.50 x 6)

7 miles: t = $6 + ($1.50 x m) or $16.50 = $6 + ($1.50 x 7)

8 miles: t = $6 + ($1.50 x m) or $18 = $6 + ($1.50 x 8)

9 miles: t = $6 + ($1.50 x m) or $19.50 = $6 + ($1.50 x 9)

10 miles: t = $6 + ($1.50 x m) or $21 = $6 + ($1.50 x 10)

Answer:

B

Step-by-step explanation:

add 8 to both sides and multiply both y and 8 by 4 to get 4y and 32

Answer:

Step-by-step explanation:

Remark

You can get 1/2 the unknown just by looking at the givens. The slope is just given -- no need to modify it.

The y intercept is a little harder. You need the point for that.

Givens

Slope = 1/2

point = (-6,8)

Formula

y = mx + b

Solution

m = 1/2

y = 1/2x + b              To find b,

8 = 1/2(-6) + b

8 = -3 + b                 Add 3 to both sides

8 + 3 = b

b = 11

Answer

y = 1/2x + 11

Answer:

y = 1/2x+11

Step-by-step explanation:

Slope intercept form is

y = mx+b  where m is the slope and b is the y intercept

y = 1/2x +b

We can use the point on the line to find b

8 = 1/2(-6) +b

8 = -3+b

Add 3 to each side

8+3 =-3+3 b

11 = b

y = 1/2x+11

Answer:

3x√5 + 5√3x + 6√10x + 10√6 (Option 2)

Step-by-step explanation:

Applying the distributive property :

⇒ (√(3x) + √5)(√(15x) + 2√30)

⇒ √(3x)√(15x) + √5√(15x) + √(3x)(2√30) + √5(2√30)

⇒ √45x² + √75x + 2√90x + 2√150

⇒ 3x√5 + 5√3x + 6√10x + 10√6

Let's see

Option B

Answer:

132 is the one to the right of it and next one going clockwise wold probably be 48 continueing clockwise the next would be 132 again

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

The graph I expect to have a negative correlation is the third graph.

Step-by-step explanation:

Positive correlation is when the the x-values increase with a corresponding increase in y-values.

Negative correlation is when the x-values increases with a corresponding decrease in y-values.

No correlation is when only x or y variable changes.

From the graphs given the only one that has a negative correlation is the third graph.

Answer I think it is a

Step-by-step explanation: A

Answer:

#1 d #2 c

Step-by-step explanation:

to get these answers I just did the math on all of them

Answer:

3

Step-by-step explanation:

75% is equal to 3/4

The easiest way to do this is to divide 12 by 4.

12/4 = 3

Now multiply this by three to get 3/4 of 12.

3 x 3 = 9

9 dogs left the shelter.

12 - 9 = 3

There are three dogs left.

Answer:

no picture

Step-by-step explanation:

just search it up

Answer:

Yes

Step-by-step explanation:

Because when you draw it u get a right angle

The pattern of the sentences are:

1. Subject + verb + object

2. Subject + verb.

3. Subject + verb + object

4. Subject + verb + adjectives.

Sentence patterns is known to be a sentence that is said to be made of up of phrases and also clauses.

Therefore, The pattern of the sentences are:

1. Subject + verb + object

2. Subject + verb.

3. Subject + verb + object

4. Subject + verb + adjectives. is correct.

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The adjusting entry for the Software of Northland Physical Therapy is as follows:

December 31, 2018:

Debit Amortization Expense $3

Credit Accumulated Amortization $3

An adjusting entry for Amortization records the amortization expense for the period, which is debited.  It also credits the Accumulated Amortization, increasing the amount of the amortization expense.

For instance, the Amortization Expense for Northland Physical Therapy's Software is recorded as above.

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Answer:

A= 3.14

Step-by-step explanation:

The formula for finding the area of a circle is A=  π r²

A= 3.14*1²

Answer:

In 1 liter there are 1000 milliliters so because 100 ≠ 1000 the answer is no

Answer:

Yes, because the monthly service fee is approximately the same each month.

Step-by-step explanation:

At one month, the service fee is around $50, then from month one to month two the service fee is around $50, and so on. Just focus on the line and the points it makes in respect to the month to cost ratio.

Answer:

a. a = 1, b = -5, c = -14

b. a = 1, b = -6, c = 9

c. a = -1, b = -1, c = -3

d. a = 1, b = 0, c = -1

e. a = 1, b = 0, c = -3

Step-by-step explanation:

a. x-ints at 7 and -2

this means that our quadratic equation must factor to:

[tex](x-7)(x+2) = 0[/tex]

FOIL:

[tex]x^2 + 2x - 7x - 14 = 0[/tex]

Simplify:

[tex]x^2 - 5x - 14 = 0[/tex]

a = 1, b = -5, c = -14

b. one x-int at 3

this means that the equation will factor to:

[tex](x-3)^2=0[/tex]

FOIL:

[tex]x^2 - 3x - 3x +9 = 0[/tex]

Simplify:

[tex]x^2 - 6x + 9 = 0[/tex]

a = 1, b = -6, c = 9

c. no x-int and negative y must be less than 0

This means that our vertex must be below the x-axis and our parabola must point down

There are many equations for this, but one could be:

[tex]-x^2-x-3=0[/tex]

a = -1, b = -1, c = -3

d. one positive x-int, one negative x-int

We can use any x-intercepts, so let's just use -1 and 1

The equation will factor to:

[tex](x+1)(x-1)=0[/tex]

This is a perfect square

FOIL:

[tex]x^2-1=0[/tex]

a = 1, b = 0, c = -1

e. x-int at [tex]\sqrt{3} , -\sqrt{3}[/tex]

our equation will factor to:

[tex](x+\sqrt{3} )(x-\sqrt{3)} =0[/tex]

This is also a perfect square

FOIL and you will get:

[tex]x^2 - 3 = 0[/tex]

a = 1, b = 0, c = -3