Union City Bakery uses a chocolate chip muffin recipe that yields 1/2 cup of milk for every batch of 12 chocolate chip muffins. Based on the recipe:

* How much milk is needed to make each muffin?
* How much milk in needed to make 24 chocolate chip muffins?

Answer:

Yes.

Step-by-step explanation:

The answer is yes because there are more plots on the right (increased amount) of data set B, while data set A's plots are more to the left (decreased amount) making it less.

Answer:

\(20 - 3x = - 3( x - 8) \\ 20 - 3x = - 3x + 24 \\ - 3x + 3x = 24 - 20 \\ 0 = 4\)

It does not have any answer.

Answer:

Step-by-step explanation:

You can enter the formula P(i/(1-(1+i)^-n)) into a calculator using the following steps:

Enter the value of P

Multiply by i

Divide by (1 - (1 + i)^-n)

If your calculator has a memory function, you can store the value of (1 + i)^-n in memory and recall it when necessary.

For example, let's say P = 1000, i = 0.05, and n = 10. Here are the steps:

Enter 1000

Multiply by 0.05 (resulting in 50)

Enter 1.05 (1 + 0.05)

Raise 1.05 to the power of -10 (resulting in 0.37689)

Subtract 0.37689 from 1 (resulting in 0.62311)

Divide 50 by 0.62311 (resulting in 80.289)

Therefore, P(i/(1-(1+i)^-n)) equals 80.289 when P = 1000, i = 0.05, and n = 10.

a) The length of the secant segment \(HC = 31.5\).

b) The length of the secant segment \(XY = 4.8\)

In geometry, a secant is a line that intersects a circle at two distinct points. A secant segment is part of a secant that lies between its two points of intersection with the circle.

In geometry, a segment is part of a line that is bounded by two distinct endpoints. A segment can be straight or curved. Straight segments are also called line segments, and curved segments are also called arcs.

According to the given information

a) In the figure, HG is a tangent and HD is a secant to the circle, and HC is the length of the secant segment.

We know that the product of the lengths of the two segments of a secant from an exterior point to a circle is equal to the product of the lengths of the entire secant and its external segment. That is,

\(HD*HE =HG^{2}\)

where \(HE\) is the length of the external segment of the secant.

Substituting the given values, we get:

\(31.5*HE =21^{2}\)

\(HE = 21^{2} /31.5 = 14\)

Now, we can use the same property to find \(HC\). That is,

\(HC *HE =HG^{2}\)

Substituting the values we have found, we get:

\(HC*14 = 21^{2} \\HC = 21^{2} /14 = 31.5\)

Therefore, the length of the secant segment \(HC = 31.5\).

b) \(VX*VZ= VY*VW\)

Substituting the given values, we get:

\(14.4*12= VY *36\\VY = (14.4*12)/36 = 4.8\)

Therefore, the length of \(VY, XY = 4.8\)

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Answer:

Westbound = x;

Eastbourne = x-20;

So they will have the common rate: 360/2 = 180;

x+x-20 = 180

2x = 200;

x = 100;

So Eastbourne will be 100-20 = 80 miles per an hour;

Answer:

4

a. 12

b. 8

c. 30

d. 40

Step-by-step explanation:

each exterior = 360/n

30*n=360

divide both side by 30

Answer is 12

The same apply to others to 4d

so first its 4

a. 12

b. 8

c. 30

d. 40

i will try to explain:

each exterior = 360/n

30*n=360

divide both side by 30

Answer is 12

The same apply to others to 4d

For f: R" + R be a convex function (i) and (ii) are equivalent definitions for m-strong convexity because m[||px + (1-p)y||².

Let x, y ∈ \(R^n\) and let 0 < p < 1. Then we have:

||px + (1-p)y|| ≤ ||px|| + ||(1-p)y|| [triangle inequality]

= p||x|| + (1-p)||y|| [since ||cx|| = |c| ||x|| for any scalar c]

Now, since f is convex, we have:

f(px + (1-p)y) ≤ pf(x) + (1-p)f(y)

Using the inequality above, we can substitute the right-hand side of this inequality as follows:

f(px + (1-p)y) ≤ pf(x) + (1-p)f(y)

f(px + (1-p)y) - pf(x) ≤ (1-p)f(y)

f(px + (1-p)y) - pf(x) + p(f(x) - f(y)) ≤ 0

Define h(p) = f(px + (1-p)y) - pf(x) - p(f(x) - f(y))

Then we have h(0) = f(y) - f(x) ≥ 0 and h(1) = f(x) - f(x) = 0.

Moreover, h is differentiable, since f is differentiable, and we have:

h'(p) = ∇\(f(px + (1-p)y)^T\) (x - y)

= \((x - y)^T\) ∇f(px + (1-p)y)

= \((x - y)^T\) [f(px + (1-p)y) - f(x)]

= \((x - y)^T\) [f(px + (1-p)y) - f(px) + f(px) - f(x)]

= \((x - y)^T\) [f(px + (1-p)y) - f(px)] + \((y - x)^T\) [f(px) - f(x)]

= p\((x - y)^T\) ∇f(px) + (1-p)\((y - x)^T\) ∇f(py)

= p\((x - y)^T\) ∇² f(px)(x - y) + (1-p)\((y - x)^T\) ∇² f(py)(y - x)

where the last equality follows from the mean value theorem for differentiation.

Since f is m-strongly convex, we have ∇² f(x) ≥ mI for all x ∈ \(R^n\), where I is the n x n identity matrix. Therefore,

h'(p) ≥ \(p(x - y)^T\) mI(x - y) + (1-p)\((y - x)^T\) mI(y - x)

= m||px + (1-p)y - x||² - m||px - x||² - m||(1-p)y - x||²

= m||px + (1-p)y - x||² - mp²||x||² - m(1-p)²||y||²

= m[p²||x||² - 2p||x||² + ||px + (1-p)y||²] + m[(1-p)²||y||² - 2(1-p)||y||² + ||px + (1-p)y||²]

= m[||px + (1-p)y||² - 2p||x||² - 2(1-p)||y||²]

= m[||px + (1-p)y||² - p²||x||² - (1-p)²||y||²]

= m[||px + (1-p)y||²]

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Answer:

N = 20

Step-by-step explanation:

5/3 = 1 2/3

20/12 = 1 8/20

They are equivalent

Answer:

4x² + 22x - 12

Step-by-step explanation:

A = bh/2

A = (4x - 2)(2x + 12)/2

A = (8x² + 48x - 4x - 24)/2

A = (8x² + 44x - 24)/2

A = 4x² + 22x - 12

Answer:

64

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

Answer:

The greatest possible length is 14 cm.

The total number of smaller pieces is 37.

Step-by-step explanation:

The greatest common factor of these three numbers is 14.

Total number of smaller pieces = 10+12+15 = 37

Best Regards!

\( \Large{\boxed{\sf | \sf z| = \sf \sqrt{40} = 2\sqrt{10} }} \)

\( \\ \)

We are given a complex number in algebraic form, and we would like to find its modulus, |z|.

\( \\ \\ \)

\( \\ \\ \)

Let's recall that a complex number in algebraic form is written as \( \sf z = a + ib \) , where a is its real part and b is its imaginary part.

\( \\ \)

The modulus of said complex number is calculated as follows:

\( \sf | \sf z| = \sqrt{a^2 + b^2} \)

\( \\ \)

\( \hrulefill \)

\( \\ \)

Let's identify our values:

\( \sf z = -2 - 6i \Longleftrightarrow z = \underbrace{\sf -2}_{\sf a} + (\underbrace{\sf -6}_{\sf b})i \)

\( \\ \)

Now, substitute these values into our formula:

\( \sf | \sf z | = \sqrt{(-2)^2 + (-6)^2} = \sqrt{4 + 36} = \boxed{\sf \sqrt{40}} \)

\( \\ \)

While this may be optional, the result can be simplified by using the following property:

\(\green{\begin{gathered}\begin{gathered} \\ \boxed { \begin{array}{c c} \\ \blue{ \star \: \sf{\boxed{ \sf Product \: rule \: of \: square \: roots\text{:}}}} \\ \\ \sf{ \diamond \: \sqrt{ab} = \sqrt{a} \times \sqrt{b} } \\ \end{array}}\\\end{gathered} \end{gathered}}\)

\( \\ \)

\( \sf \sqrt{40} = \sqrt{4 \cdot 10} = \sqrt{4} \cdot \sqrt{10} = \boxed{\boxed{\sf 2\sqrt{10}}} \)

\( \\ \)

\( \hrulefill \)

\( \\ \)

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Answer:

C

Step-by-step explanation:

For C the y axis changes, add 5 to -3 and you get 2. Therefore 5 units away!

Hope this helps, good luck! :)

Using variable concepts, it is found that the player's height is a continuous quantitative variable.

In this problem:

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Answer:

height

Step-by-step explanation:

noballz

A line perpendicular to the given line should have a slope which is a negative reciprocal of the given slope.

In the given, the slope is -2/3. Thus, the new slope should be m=3/2.

To obtain the line with the slope 3/2 and passes through (4,-8), substitute the value of the slope and the coordinates into the point-slope formula and then simplify the right side of the equation.

Thus, the values for the blanks should be 3, 2, and -14, respectively.

We will have the following:

Right away we can see that if we are to plug in x = 35 in one of the expressions, the only one that would give as solution y = 1 is the solution; thus, the solution is the function:

The scientific notation of the given number is 1.24×10⁻⁶.

The given number is 0.00000124.

Scientific notation is a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power such as 1.56×10⁷.

Here, 0.00000124=1.24×10⁻⁶.

Therefore, the Scientific notation of the given number is 1.24×10⁻⁶.

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Answer:

Speed of Sharon on country roads = 50 mph

Step-by-step explanation:

Let the speed of Sharon on interstate roads was = a mph

And the speed on country roads = b mph

Time taken by Sharon to travel 390 miles on interstate = \(\frac{\text{Distance}}{\text{Speed}}\)

= \(\frac{390}{a}\) hours

Time taken by Sharon to travel 150 miles on country roads = \(\frac{150}{b}\) hours

"Total time for the trip = 9 hours"

\(\frac{390}{a}+\frac{150}{b}=9\)

\(\frac{130}{a}+\frac{50}{b}=3\) --------(1)

"Her speed on interstate was 15 mph more than on country roads".

a = b + 15 ---------(2)

By substituting the value of a from equation (2) to equation (1),

\(\frac{130}{(b+15)}+\frac{50}{b}=3\)

\(\frac{130b+50(b+15)}{b(b+15)}=3\)

180b + 750 = 3b(b + 15)

180b + 750 = 3b² + 45b

3b² + 45b - 180b - 750 = 0

3b² - 135b - 750 = 0

b² - 45b - 250 = 0

b² - 50b + 5b - 250 = 0

b(b - 50) + 5(b - 50) = 0

(b + 5)(b - 50) = 0

b = -5, 50

But the speed can't be negative,

Therefore, b = 50 mph

Speed of Sharon on country roads was 50 mph.

Answer:

12.   m∠C = 100° and m∠F = 100°

13.   m∠S = 89° and m∠U = 89°

Step-by-step explanation:

Question 12

The two triangles ΔABC and ΔDEF have two of their angles equal:
m ∠A = m ∠D

m∠B = m∠E

Therefore the third angles must be equal:
m∠C = m∠F

m∠C = (4x²)° and m∠F = (3x² + 25)°

Setting these two right side expressions in parentheses equal to each other gives
4x² = 3x² + 25
4x² - 3x² = 25
x² = 25
x = ±√25 = ±5

Ignoring the negative value we get
x = 5

Therefore
m∠C = (4x²)° = (4 · 5²)° = (4 · 25)° = 100°

Since, m∠F = m∠C ,
m∠F  = 100°

But we can double check
m∠F = (3x² + 25)° = (3 · 5² + 25)° = (3 · 25 + 25) = (75 + 25)° = 100°

Question 13

This is similar to question 12

The quadrilateral RSTU is divided into two triangles ΔRST and Δ RUT

We are given
m∠RTS = m∠TRU

m∠TRS = m∠RTU

Therefore the third angle of ΔRST must be equal to the third angle of Δ RUT

In other words,
m∠S= m∠U

Plugging in the expressions for each of these angles we get

(5x - 11)° = (4x + 9)°

Set the expressions inside parens equal to each other and solve for x:
5x - 11 = 4x + 9

5x - 4x - 11 = 9    (subtract 4x from both sides)
x - 11 = 9

x = 11 + 9  (add 11 both sides)

x = 20

m∠S= (4x + 9)° = (4 · 20 + 9)° = (80 + 9)° = 89°

Therefore m∠RUT is also 89°

but we can double-check
m∠U= (5x - 11)° = (5 · 20 - 11)° = (100 - 11)° = 89°

Answer:

  y = (1)x +(-5)

Step-by-step explanation:

You want the slope-intercept equation of the line graphed with y-intercept -5 and x-intercept +5.

The intercept form of the equation for a line with x-intercept 'a' and y-intercept 'b' is ...

  x/a +y/b = 1

Using the given intercept values, a=5, b=-5, the equation is ...

  x/5 +y/(-5) = 1

The desired form of the equation can be found by solving for y:

  -x +y = -5 . . . . . . multiply by -5

  y = x -5 . . . . . . . . add x

The numbers that go in the boxes are 1 and -5.

The volume of the container is approximately 12.9516 cubic meters when rounded to the nearest hundredth.

To find the volume of the container, we need to multiply its length, width, and height. Let's convert the given measurements to meters to ensure consistent units.

The length of the container is 2.76 meters.

The width of the container is 23.5 decimeters, which is equal to 2.35 meters (since 1 decimeter = 0.1 meters).

The height of the container is 196 centimeters, which is equal to 1.96 meters (since 1 meter = 100 centimeters).

Now we can calculate the volume of the container:

Volume = Length × Width × Height

Volume = 2.76 meters × 2.35 meters × 1.96 meters

Volume ≈ 12.9516 cubic meters (rounded to four decimal places)

Therefore, the volume of the container is approximately 12.9516 cubic meters when rounded to the nearest hundredth.

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-2

Step-by-step explanation:

The difference between second term and first term or third term and second term in an AP series is called common difference.

Hence, in the given sequence −2,−4,−6,......, the common difference is −4−(−2)=

cos(tan^(-1)(-2/3)) simplifies to 3√13 / 13.

To evaluate the expression cos(tan^(-1)(-2/3)), we can use the trigonometric identity:

cos(tan^(-1)(x)) = 1 / √(1 + x^2)

In this case, x is -2/3. Substituting the value into the identity:

cos(tan^(-1)(-2/3)) = 1 / √(1 + (-2/3)^2)

Now, let's calculate the value:

cos(tan^(-1)(-2/3)) = 1 / √(1 + 4/9)

                   = 1 / √(13/9)

                   = 1 / (√13/3)

                   = 3 / √13

                   = 3√13 / 13

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the maximum potential loss for this strategy is limited to the net cost of $3 if the stock price stays below the breakeven point of $63, but can be unlimited if the stock price rises significantly above the breakeven point

The maximum potential loss for this strategy can be calculated as the difference between the premiums received and paid. In this case, the customer pays a premium of $6 to buy the ABC May 60 call and receives a premium of $3 for selling the ABC May 17th call. Hence, the total cost for this strategy is $6 - $3 = $3.

The breakeven point for this strategy can be calculated as the strike price of the long call plus the net cost of the strategy, which is $60 + $3 = $63.

If the ABC stock price stays below the breakeven point of $63, both options will expire worthless, and the maximum loss for this strategy will be the net cost of $3.

However, if the ABC stock price rises above the breakeven point of $63, the short call option that was sold will be in the money, and the buyer of the option can exercise it, forcing the seller to sell the shares at the strike price of $17. This means that the maximum loss for this strategy will be unlimited if the stock price rises significantly above the breakeven point.

In summary, the maximum potential loss for this strategy is limited to the net cost of $3 if the stock price stays below the breakeven point of $63, but can be unlimited if the stock price rises significantly above the breakeven point. Therefore, it's important to have a risk management plan in place to mitigate potential losses in case the stock price moves against the expected direction.

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a customer buys one abc may 60 call at 6 and sells one abc may 17th call at 3 when abc stock is selling at 63% the maximum potential loss is?

Answer:

4/15

Step-by-step explanation:

2/5 drive

1/3 bus

and rest walk

fraction of those who walk is 1-(2/5+1/3)

2/5+1/3=(6+5)/15=11/15

15/15-11/15=4/15

The answer of the given question based on the  length in each isosceles right triangle is given below,

An isosceles right triangle is right triangle in which two legs have the same length, making it isosceles triangle, and one of angles is right angle, making it right triangle.  an isosceles right triangle,  two acute angles are congruent, each measuring 45 degrees, and  hypotenuse is equal in length to legs multiplied by √2.

The isosceles right triangle is special case of  45-45-90 triangle, where  angles measure 45 degrees, 45 degrees, and 90 degrees, respectively. In  45-45-90 triangle, the hypotenuse is equal in length to  legs multiplied by √2.

a. If the hypotenuse is 102√, then each leg is the same length as the hypotenuse divided by √2. Therefore:

Leg = 102√/√2 = 102

b. If one leg is 92√, then the hypotenuse is the length of that leg multiplied by √2. Therefore:

Hypotenuse = 92√ * √2 = 92 * 2 = 184.

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Answer:

7

Step-by-step explanation:

Given the following data:

Average speed : 60.5, 63.2, 54.7, 51.6, 72.3, 70.7, 67.2, and 65.4

To construct a one-sample t - statistic, the value of the degree of freedom will be ;

In a one sample test of known mean, if the number of observations are 4, one can choose to vary at most three of the observations and still obtain the mean, that is the 4th observation must remain fixed.

Degree of freedom = Number of observations (n) - 1. This is the maximum number of independent variables which can be varied.

Nunber of observations or sample size in the data above is 8

Hence,

Degree of freedom = (8 - 1) = 7

Answer:the anwser is 7

Step-by-step explanation:

1) The Single Equivalent Discount Rate is 0.143296.

2) The trade discount is $28.52.

3) The net price is $170.48.

A chain discount refers to a series of discounts allowed from the list price of a good.

An example of a chain discount is 8/4/3.  Based on the series of discounts, a single equivalent discount rate can be computed as below.

The net price is the difference between the list price and the trade discounts granted.

Item            List     Chain     Net Price       Single        Trade         Net Price

                 Price Discount  Equivalent  Equivalent  Discounts

                                                    Discount rate

Samsung  $199    8/4/3      0.856704   0.143296     $28.52         $170.48

Blu-ray

Player

The single equivalent discount rate = 0.143296 (1 - 0.856704)

Trade discount = $28.52 ($199 x 0.143296)

Net Price = $170.48 (($199 x 0.856704)

100 x 8% = 8%

92 x 4% = 3.68%

88 x 3% = 2.64%

Total = 14.32%

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\(\tan(28^o )=\cfrac{\stackrel{opposite}{21}}{\underset{adjacent}{x}} \implies x=\cfrac{21}{\tan(28^o)}\implies x\approx 39.50\)

Make sure your calculator is in Degree mode.

Answer:

700

Step-by-step explanation:

I am slightly confused by your wording, but Im assuming you mean the expanded form.

In the base ten system, the second to last digit is the tens place. Therefore, the 7 represents 7*10 = 70

10 times larger than 70 is 700