Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. The function below represents the monthly expenses for an event planning company where f(x) represents the total monthly expenses for planning x events. If at the end of one month the expenses for the company were $12,350, then ___ events were planned


f(x) = 50(2x=1) + 300

Answers

Answer 1

Answer:

There were 120 events planned.

Step-by-step explanation:

We are given the following information in the question:

f(x) represents the total monthly expenses for planning x events.

[tex]f(x) = 50(2x+1) + 300[/tex]

Cost of expenses for the company at the end of one month = $12,350

We have to find the number of events planned that is we have to find the value of x.

[tex]f(x) = 50(2x+1) + 300 = 12350\\50(2x+1) + 300 = 12350\\100x + 50 + 300 = 12350\\100x + 350 = 12350\\100x = 12350-350\\100x = 12000\\\\x = \displaystyle\frac{12000}{100} =120[/tex]

Thus, there were 120 events planned.

Answer 2

Answer:

120

Step-by-step explanation:

i actually did just guess on that answer i didnt know what to put


Related Questions

what is the slope for (12,5) (9,8)

Answers

We can use the points (12, 5) and (9, 8) to solve.

Slope formula: y2-y1/x2-x1

= 8-5/9-12

= 3/-3

= -1

______

Best Regards,

Wolfyy :)

What is the median of this set of data values? 11, 13, 14, 15, 18, 20, 23, 26

Answers

Step-by-step explanation:

= (11+13+14+15+18+20+23+26)/8

= 140/8

= 17.5

Answer:

16.5

Step-by-step explanation:

What is the solution to the equation

1+1

Answers

Answer:

2

Step-by-step explanation:

but I would personally say FISH

Answer: Like I really told you what I just had said, "The answer to this basic math question with the given basic math expression is [tex]1+1=2.[/tex]"

Step-by-step explanation: Seriously, like I really told you what I just had said, "This seems extremely too simple and easy for me and the users of The Brainly in order to answer to this basic math question with your own given the basic math expression, there is just only 1 of the basic step-by-step explanation for the basic math question with the given basic math expression for me and the users of The Brainly in order to solve it that looks in the equation form like this: [tex]1+1=2.[/tex]"

So, anyway, I hoped that my own given quoted with my own given quoted basic answer and my own given quoted basic step-by-step explanation is being very helpful to your own basic math question with the given basic math expression what I've been just said and have a great rest of the weekend! :D

Sincerely,

Jason Ta,

The Ambitious of Brainly And The Role of The TDSB And WHCI Student of The High School.

Shawn is buying his first home. At closing he brought a check for $7570. The
closing costs were as follows:
Title Fee
Processing Fee
Appraisal
No. of Points
$545
$2100
$695
Based on this information, how much did the house cost?

Answers

Answer:It cost 2100 dollars

Step-by-step explanation:I did the math on calculator very very simple buddy

find the area of the figure.

12 ft
18 ft
18 ft
36 ft​

Answers

The area of the given figure is 864 square feet.

To find the area of the given figure, we can break it down into two rectangles and then sum their areas.

The figure consists of two rectangles with dimensions:

1. The first rectangle has a length of 36 ft and a width of 18 ft.

2. The second rectangle has a length of 12 ft and a width of 18 ft.

The area (A) of a rectangle is calculated using the formula: [tex]\(A = \text{length} \times \text{width}\).[/tex]

For the first rectangle:

[tex]\[ A_1 = 36 \, \text{ft} \times 18 \, \text{ft} = 648 \, \text{ft}^2 \][/tex]

For the second rectangle:

[tex]\[ A_2 = 12 \, \text{ft} \times 18 \, \text{ft} = 216 \, \text{ft}^2 \][/tex]

Now, add the areas of both rectangles to find the total area (A) of the figure:

[tex]\[ A = A_1 + A_2 = 648 \, \text{ft}^2 + 216 \, \text{ft}^2 = 864 \, \text{ft}^2 \][/tex]

The question probable maybe :-

Find the combined area of two rectangles with side 36 ft 18 ft ,12 ft

18 ft​ respectively .

there are two green Skittles out of every five what percent are green​

Answers

Answer:

40%

Step-by-step explanation:

2 green of every 5:

[tex]\dfrac{2}{5}[/tex]

Convert to the percent:

[tex]\dfrac{2}{5}\cdot100\%=\dfrac{200}{5}\%=40\%[/tex]

Solve for k
7k+2m = kr + 4m + 3

Answers

Answer:

[tex]\large\boxed{k=\dfrac{2m+3}{7-r}\ \text{for}\ r\neq7}[/tex]

Step-by-step explanation:

[tex]7k+2m=kr+4m+3\qquad\text{subtract}\ 2m\ \text{from both sides}\\\\7k+2m-2m=kr+4m-2m+3\\\\7k=kr+2m+3\qquad\text{subtract}\ kr\ \text{from both sides}\\\\7k-kr=kr-kr+2m+3\\\\7k-kr=2m+3\qquad\text{distribute}\\\\k(7-r)=2m+3\qquad\text{divide both sides by}\ (7-r)\neq0\\\\k=\dfrac{2m+3}{7-r}[/tex]

Y''+Y'+Y=1
solve ordinary differential equation

Answers

Answer:

y(t) = c₁ e^(-1/2 t) cos(√3/2 t) + c₂ e^(-1/2 t) sin(√3/2 t) + 1

Step-by-step explanation:

y" + y' + y = 1

This is a second order nonhomogenous differential equation with constant coefficients.

First, find the roots of the complementary solution.

y" + y' + y = 0

r² + r + 1 = 0

r = [ -1 ± √(1² − 4(1)(1)) ] / 2(1)

r = [ -1 ± √(1 − 4) ] / 2

r = -1/2 ± i√3/2

These roots are complex, so the complementary solution is:

y = c₁ e^(-1/2 t) cos(√3/2 t) + c₂ e^(-1/2 t) sin(√3/2 t)

Next, assume the particular solution has the form of the right hand side of the differential equation.  In this case, a constant.

y = c

Plug this into the differential equation and use undetermined coefficients to solve:

y" + y' + y = 1

0 + 0 + c = 1

c = 1

So the total solution is:

y(t) = c₁ e^(-1/2 t) cos(√3/2 t) + c₂ e^(-1/2 t) sin(√3/2 t) + 1

To solve for c₁ and c₂, you need to be given initial conditions.

In the box, type in the number that will correctly complete the sentence.

Jane has a debt of $63. She owes equal amounts to seven different people. Her debt to each person can be expressed as Answer
dollars.

Answers

Answer:

$9 to each person

Step-by-step explanation:

63/7=9

Answer: 9

Step-by-step explanation:

$63 divided by 7 people = $9 debt per person

how do i write this inequality

You must be at least 42 inches tall to ride the bumper cars at an amusement park. Write an inequality that represents this situation. Let x represent the heights of people who are allowed to ride the bumper cars.

Answers

The inequality for the given condition is x ≥ 42 inches

Solution:

Given that, the condition is you must be at least 42 inches tall to ride the bumper cars at an amusement park.  

We have to write an inequality that represents this situation.

Equations and inequalities are both mathematical sentences formed by relating two expressions to each other. In an equation, the two expressions are deemed equal which is shown by the symbol =

Where as in an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥

Let "x" represent the heights of people who are allowed to ride the bumper cars

Height of people who are allowed to ride the bumper cars should be at least 42 inches

Height of people ≥ 42 inches [ since at least condition holds even at 42 value also ]

x ≥ 42 inches

Hence, the inequality for the given condition is x ≥ 42 inches

How do you determine the slope of a line

Answers

The slope of a line is the amount of units it goes across the x axis by how many units it goes up the y axis. A line with slope 3 goes 3 spaces up for every one space along.

Answer:

To calculate the slope of a line you need only two points from that line, (x1, y1) and (x2, y2). There are three steps in calculating the slope of a straight line when you are not given its equation.

Step-by-step explanation:

Step One: Identify two points on the line. Step Two: Select one to be (x1, y1) and the other to be (x2, y2).

(5x)(-2x)(3x) is equal to?

Answers

-30x cubed
There are three x hence the cubes and then all you do is multiply (5)(-2)and(3) together to get -30
-75 is the answer bc you have to multiply it

g(x) = x - 6
If the opposite of g(x) is-g(x),
then--g(x) =

Answers

Answer:

  --g(x) = g(x) = x - 6

Step-by-step explanation:

The opposite of the opposite is the original.

the answer is 0

Step-by-step explanation:

on edge

One-Step Equations:

1. x - 3.5 + 14.9

2. x - 2.8 = 9.5

3. x - 8.5 = -2.1

4. z - 9.4 = -3.6

5. -5/6 + x = -11/12

6. x - 1/9 = 5/18

7. x + 6 = -3

8. z - 7 = 11

9. -1 = x - 8

(I will be trying to figure these out as well)

Answers

9. X=7. 7-8=-1

8. X=18. 18-7=11
1. x= 18.4
2.x=12.3
3.x=6.4
4.z=5.8
5.x=-1/2
6.x=7/18
7.x=-9
8.z=18
9.x=7

How do you answer this?

Answers

Answer:

The simplified form would be [tex]6x^5[/tex]

Step-by-step explanation:

Given:

[tex]\frac{(3x^4)(12x^2)}{6x}[/tex]

Now multiplying the numbers and variable we get,

[tex]\frac{(3x^4)(12x^2)}{6x}\\\\\frac{(36x^{2+4})}{6x}\\\\\frac{36x^6}{6x}[/tex]

Now Dividing 36 by 6 we get,

[tex]\frac{6x^6}{x}=6x^6\times x^{-1} = 6x^{6-1}= 6x^5[/tex]

Hence the simplified form would be [tex]6x^5[/tex]

) What number makes the equation true?
-5+__=7 1/3

Answers

-5 + x = 7 1/3

X = 7 1/3 + 5

X = 12 1/3
2 1/3 because I learned this exact question at school it was onstly really easy

12. What's
written as a fraction with a denominator of 42?
O C. 42/42
O D.742
Mark for review (Will be highlighted on the review page)
<< Previous Question
Next Question >>

Answers

Answer:

C.)

Step-by-step explanation:

Denominator is the bottom part of a fraction

In a large city, the heights of 10-year-old children are approximately normally distributed with a mean of 53.7 inches and standard deviation of 7 inches.

(a) What is the probability that a randomly chosen 10-year-old child has a height that is less than than 38.2 inches? Round your answer to 3 decimal places.



(b) What is the probability that a randomly chosen 10-year-old child has a height that is more than 40.3 inches? Round your answer to 3 decimal places

Answers

Answer:

(A) 40.67

(B) 57.98

Step-by-step explanation:

I did it in my head

A scale has a percent error of 5%. The actual mass of a rock is 258 g.

Select from the drop-down menus to correctly complete the statement.

The scale is likely to show the mass is either [Choose...] g or [Choose...] g.

Answers

The scale is likely to show the mass is either 270.9g or 245.1g

Step-by-step explanation:

Actual mass = 258g

Percent error = 5% = ±0.05

Mass shown by scale = Actual mass*percent error

[tex]Mass\ shown\ by\ scale=258*(\±0.05)\\Mass\ shown\ by\ scale=\±12.9g[/tex]

Therefore,

Mass shown by scale = 258+12.9 , Mass shown by scale = 258-12.9

Mass shown by scale = 270.9g , Mass shown by scale = 245.1g

The scale is likely to show the mass is either 270.9g or 245.1g

Keywords: error, percentage

Learn more about percentages at:

brainly.com/question/11286417brainly.com/question/11566221

#LearnwithBrainly

Answer:

A scale has a percent error of 5%. The actual mass of a rock is 258 g.

Select from the drop-down menus to correctly complete the statement.

The scale is likely to show the mass is either

245.1

g or

270.9

g.

Step-by-step explanation:

I copied an pasted from k-12

LiAnn works in the Olde Tyme Soda Shopee. The shop sells milkshakes, double milkshakes, and triple milkshakes. A shake uses 1/8 cup of syrup, a double shake uses 1/4 cup of syrup, and a triple shake uses 3/ 8 cup of syrup. How many shakes of each kind could she make with 3 cups of syrup?

Answers

Answer:

[tex]\large \boxed{24; 12; 8}[/tex]

Step-by-step explanation:

1. Calculate the number of milkshakes

[tex]\text{Number of milkshakes}= \dfrac{\text{Total volume}}{\text{Volume of each milkshake}} = 3 \div \dfrac{1}{8}[/tex]

Invert the denominator and change division to multiplication

[tex]3\div\frac{1}{8} = 3\times \dfrac{8}{1}  = \mathbf{24}\\\\\text{LiAnn can make $\large \boxed{\mathbf{24}}$ milkshakes}[/tex]

2. Calculate the number of double milkshakes

[tex]\text{Number of double milkshakes}= \dfrac{\text{Total volume}}{\text{Volume of each double milkshake}} = 3 \div \dfrac{1}{4}[/tex]

Invert the denominator and change division to multiplication

[tex]3\div\dfrac{1}{4} = 3\times \dfrac{4}{1}  = \mathbf{12}\\\\\text{LiAnn can make $\large \boxed{\mathbf{12}}$ milkshakes}[/tex]

3. Calculate the number of triple milkshakes

[tex]\text{Number of triple milkshakes}= \dfrac{\text{Total volume}}{\text{Volume of each triple milkshake}} = 3 \div \dfrac{3}{8}[/tex]

Invert the denominator and change division to multiplication

[tex]3\div\dfrac{3}{8} = 3\times \dfrac{8}{3}[/tex]  

Cancel the 3s

[tex]3\times \dfrac{8}{3} = \mathbf{8}\\\\\text{LiAnn can make $\boxed{\mathbf{8}}$ triple milkshakes}[/tex]

A manufacturer of tennis rackets makes a profit of $15 on each oversized racket and $8 on each standard racket. To meet dealer demand, daily production of standard rackets should be between 30 and 80, and production of oversized rackets should be between 10 and 30. To maintain high quality, the total number of rackets produced should not exceed 80 per day. How many of each type should be manufactured daily to maximize profit?

Answers

Answer:

30 oversized rackets and 50 standard rackets

Step-by-step explanation:

To maximize profit, it is very essential she strikes a balance between the two type of rackets. It is important to note that the profit on oversized racket is twice that of standard racket. Hence, she must make as many oversized rackets as possible.

The highest number of oversized racket she can make is 30. Subtracting 30 from the total number of rackets give 50 standard racket

Final answer:

To maximize profit, represent the constraints as a system of inequalities, graph these to find a feasible region, and evaluate the profit function at each vertex of this region.

Explanation:Maximizing Profit with Production Constraints

To determine how many of each type of tennis racket a manufacturer should produce daily to maximize profit, we can set up a system of inequalities based on the given constraints and then use linear programming. The constraints are that the daily production of standard rackets (S) should be between 30 and 80, and production of oversized rackets (O) should be between 10 and 30. Additionally, the total number of rackets produced (S + O) should not exceed 80 per day.

The profit function to be maximized is P = 15O + 8S. The optimization process involves graphing the inequalities to form a feasible region, then evaluating the profit function at each vertex of this region to find the maximum profit point.

The constraints can be written as:

30 ≤ S ≤ 80 (constraint for standard rackets)10 ≤ O ≤ 30 (constraint for oversized rackets)S + O ≤ 80 (constraint for total production)


We look for the corner points of the feasible region that satisfies all the constraints and calculate the profit at each of these points. The highest profit among these calculated values will give us the optimal number of each type of racket to produce.

By systematically evaluating the profit P at the corner points of the feasible region, the manufacturer can identify the production levels of standard and oversized rackets that will maximize profit within the given constraints.

This approach ensures that the manufacturer can meet dealer demand, maintain high quality through production limits, and optimize profit based on the profit margins of each racket type.

What is 889 divided by 17

Answers

Answer:

The answer is 52.2

Step-by-step explanation:

Jordan can run a mile in 8.4 minutes. How long would it take to run 6.21 miles

Answers

Final answer:

To find how long it takes Jordan to run 6.21 miles, multiply the per-mile time (8.4 minutes) by the total miles (6.21), resulting in approximately 52.164 minutes.

Explanation:

To calculate how long it would take Jordan to run 6.21 miles based on the information that Jordan can run a mile in 8.4 minutes, we use the following steps:

Multiply the time it takes to run one mile by the total number of miles.

Time for 1 mile = 8.4 minutes

Total distance = 6.21 miles

Total time = 8.4 minutes/mile × 6.21 miles

Total time = 52.164 minutes

Therefore, it would take Jordan approximately 52.164 minutes to run 6.21 miles. This straightforward multiplication provides a precise estimate, illustrating the application of the mile pace to calculate the overall running time for the specified distance.

What is a non-example of unit rate

Answers

Answer:

60 calories per day

Step-by-step explanation:

example: 60 calories per serving so obviously the non example is the opposite

Write the quadratic equation whose roots are -5 -4 and whose leading coefficient is 4

Answers

Answer:

y = 4x² + 36x + 80

Step-by-step explanation:

Since the roots are x = - 5 and x = - 4 then the factors are

(x + 5) and (x + 4)

The equation is the product of the factors

y = (x + 5)(x + 4) and with leading coefficient of 4 is

y = 4(x + 5)(x + 4) ← expand factors

  = 4(x² + 9x + 20)

  = 4x² + 36x + 80

6% of what number is 2.36

Answers

Answer:

39.3

Step-by-step explanation:

100 / 6 is about 16, 16.66667 to be exact:

2.36 * 16.66667 =  approx. 39.3

Final answer:

To determine 6% of what number is 2.36, divide 2.36 by 0.06, resulting in an answer of approximately 39.33.

Explanation:

To find 6% of what number equals 2.36, we set up an equation where 6% (or 0.06) multiplied by a number 'x' equals 2.36. The equation looks like this: 0.06x = 2.36. To solve for 'x', you divide both sides of the equation by 0.06, which yields x = 2.36 ÷ 0.06. After calculating, you get that x equals 39.33. Therefore, 6% of 39.33 is 2.36.

Identify which is NOT a Pythagorean triple.

A)5, 12, 13B)7, 24, 25C)8, 15, 16D)11, 60, 61E)12, 35, 37

Answers

Answer:

C)  8, 15, 16 is NOT Pythagorean TRIPLET.

Step-by-step explanation:

There numbers  a, b and c are said to be a PYTHAGORAS TRIPLET if

[tex](a) ^2 + (b)^2 = (c) ^2[/tex]

Now, here in the given options:

A)5, 12, 13

[tex](5)^2 +   (12)^2 = 25 +  144 = 169 = (13)^2\\\implies (5) ^2 + (12)^2 = (13) ^2[/tex]

Hence, 5, 12, 13 is a Pythagorean TRIPLET.

B)7, 24, 25

[tex](7)^2 +   (24)^2 = 49 +  576=  625 = (25)^2\\\implies (7) ^2 + (24)^2 = (25) ^2[/tex]

Hence, 7, 24, 25 is a Pythagorean TRIPLET.

C)8, 15, 16

[tex](8)^2 +   (15)^2 = 64 +  225=  289 \neq (16)^2 = 256\\\implies (8) ^2 + (15)^2 \neq (16) ^2[/tex]

Hence, 8, 15, 16 is NOT Pythagorean TRIPLET.

D)11, 60, 61

[tex](11)^2 +   (60)^2 = 121 +  3600 =  3721 =  (61)^2\\\implies (11) ^2 + (60)^2 = (61) ^2[/tex]

Hence, 11, 60, 61 is a Pythagorean TRIPLET.

E)12, 35, 37

[tex](12)^2 +   (35)^2 = 144 +  1225 =  3721 =  (37)^2\\\implies (12) ^2 + (35)^2 = (37) ^2[/tex]

Hence, 12,35 , 37 is a Pythagorean TRIPLET.

A scale has a percent error of 5%. The actual mass of a rock is 258 g.

Select from the drop-down menus to correctly complete the statement.

The scale is likely to show the mass is either [Choose...] g or [Choose...] g.

Please help, I have an F in math and the semesters almost over. Im doing over due so I can try to bring my grade up to a C. Please help, Ill give brainlyest.

Answers

Multiply the weight by 5%, then subtract that from the weight for the lower value and add it for the higher value:

258 x 0.05 = 12.9g

Lower value: 258 - 12.9 = 245.1g

Higher value: 258 + 12.9 = 270.9g

Label each pair of triangles with the postulate or theorem that proves the triangles are congruent.

Answers

Answer:

We can conclude that Δ GHI ≅ Δ JKL by SAS postulate.

Step-by-step explanation:

Δ GHI and Δ JKL are congruents because:

1. Their sides GH and JK are equal (9 units = 9 units)

2. Their included angles ∠G and ∠J are equal (62° = 62°)

3. Their sides GI and JL are equal (17 units = 17 units)

Now, we can conclude that Δ GHI ≅ Δ JKL by SAS postulate.

One number is
= of another number. The sum of the two numbers is
12. Find the two numbers. Use a comma to separate your answers.

Answers

Answer:

Two such numbers are  10  , 2 .

Step-by-step explanation:

Here, the question is INCOMPLETE.

Here is the Complete question:

One number is 1/5 of another number. The sum of the two numbers is 12. Find the two numbers. Use a comma to separate your answers.

We can solve the given problem as follows:

Here, : One number is   1/5  of another number.

Let one such number = m

⇒ The other number = 1/5 (m)

Sum of both the given number = 12

[tex]\implies  m + \frac{1}{5}  m = 12\\\implies \frac{5m + m}{5}  = 12\\\implies \frac{6m}{5}  = 12[/tex]

or, 6  m = 12 x (5) = 60

or, m = 60 / 6  =  10

or, m = 1 0

Hence, the first number = m = 10

Second number is [tex]\frac{1}{5} m =  \frac{1}{5} \times 10 = 2[/tex]

Hence, two such numbers are 10  , 2 .

Other Questions
Ben, Shaneeka, and Phil live on the same street. Ben lives 6/11 mile north of Phil, and 1/3 mile north of Shaneeka. How far does Shaneeka live from Phil? Dr. Prentice, principal of an elementary school, instructs her teachers to employ a new aggression-reduction program with the second graders and to keep using it on that group of students for the next three years. She finds that, relative to the start of the program, aggression in that group of students is down 35%. This example illustrates the possibility of ________________ as a plausible rival hypothesis. Tengo que usar silla de ruedas porque me romp la (A rodilla / B mueca) Creo que te rompiste un hueso en el hombro, pero necesito (A sacar una radiografa /B ponerte una inyeccipon) para estar seguro. Slo tienes un poco de sangre en la rodilla. Necesita usar una (A ambulancia / B venda) y vas a estar bien. Si te duele la cabeza, debes tomar dos (A muletas / B pastillas). 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Afortunadamente no fue nada grave, slo (A me torc / B me romp) la rodilla. if a test yields consistent results every time it is used, it has a high degree of... Which of the following conclusions can be drawn from JJ Thomson's cathode ray experiments?A.) Atoms contain electronsB.) Practically all the mass of an atom is contained in its nucleusC.) Atoms contain protons, neutrons, and electronsD.) Atoms have positively charged nuclues surrounded by electron cloud Anne wants to better understand the customer profile of those who choose to finance their car purchases through the dealerships. She wants the dealership managers to ask three questions of these customers during the upcoming month and then provide her with the responses. Which of the following components is she most likely to put in this message?a. Claim, rationale, call to action, goodwill b. Request, rationale, call to action, goodwill c. Goal, directions, goodwill d. Attention, announcement, details, call to action, goodwill 5.49 EE14SCIENTIFICSONICSIN!COSTANYandSNSA Cos I TANKOFF in standard form We can imagine creating a new planet with twice the mass of the Earth, and an orbital radius of 2.5 1011 m (Earth's orbital radius is 1.5 1011 m). How long will a year last on this new planet? Please explain how your got your answer. "g" The Correct and consistent use of what is highly effective in reducing STD transmission? A bicycle tire company performed a web-based study of a popular tire retail price over time. The study indicated that price is set at $16.00 per tire, it was expected to increase to $19.00 over the next 5 years a. Determine the annual rate of inflation over 5 years to increase the price from $16.00 to $19.00.b. Determine the market interest rate that must be used in economic equivalence computations if inflation is considered and an 8% per year real interest rate is expected by this company. Long before Europeans had devised a Leap Day, Mayans knew that a year on earth was When an additional unit of a variable input adds less to total product than the previous unit, the firm has: diminishing total returns. diminishing marginal returns and diminishing total returns. diminishing marginal returns. increasing returns. Consider a situation of simple harmonic motion in which the distance between the endpoints is 2.39 m and exactly 8 cycles are completed in 22.7 s. When this motion is viewed as a projection of circular motion, what are the radius, r, and angular velocity, ? , of the circular motion? Henrique Correa's bakery prepares all its cakes between 4 A.M.and 6 A.M.so they will be fresh when customers arrive. Day-old cakes are virtually always sold, but at a 50% discount off the regular $8 price. The cost of baking a cake is $5, and demand is estimated to be normally distributed, with a mean of 20 and a standard deviation of 7. What is the optimal stocking level? Translating mathematical statements in English into logical expressions. info About Consider the following statements in English. Write a logical expression with the same meaning. The domain is the set of all real numbers. (a) There is a number whose cube is equal to 2. (b) The square of every number is at least 0. (c) There is a number that is equal to its square. (d) Every number is less than or equal to its square. If you believe an accusation you are believing a?Lie or slur? The price for an item was first increased by 10% and then increased by 20%. In percent, what discount should be applied so that the price would become its original amount? Kavanaugh emphasizes the importance of judicial independence when refusing to answer one senators question about presidential power. What key aspect of American government does judicial independence promote? A plank rests on top of the axles of two identical wheels. Each wheel's outer radius is 0.25 meters and each wheel's axle has radius 0.05 meters. If the wheels roll 1.00 meter from their original position, how much does the plank move from its original position?Assume that there is no slipping anywhere, and that the plank does not tip. Which of the following is NOT a systematic risk? A) the risk that oil prices rise, increasing production costs B) the risk that the economy slows, reducing demand for your firms products C) the risk that your new product will not receive regulatory approval D) the risk that the Federal Reserve raises interest rates