What is the minimum number of ingredients that must be available if the restaurant wants to advertise that it offers over 4000 different omelets
Answers
12 ingredients must be available.
It is given that the restaurant wants to offer over 4000 different omelets.
\(2^{x} =4000\), where x is the minimum number of ingredients.
\(x\ln \left(2\right)=\ln \left(4000\right)\)
\(x=\frac{\ln \left(4000\right)}{\ln \left(2\right)}\)
\(=11.96578\dots\)
So, 12 ingredients must be available.
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Related Questions
Use the proportion to solve for the unknown base measure of the enlarged trapezoid. 1.Set up the proportion: StartFraction 2 over 3.25 EndFraction = StartFraction x over 6.5 EndFraction 2.Use cross products: 2(6.5) = 3.25(x) 3.Simplify: 13 = 3.25x 4.Divide both sides by 3.25: The missing base measure of the enlarged trapezoid is cm.
Answers
Answer:
The missing base measure of the enlarged trapezoid is 4cm.
Step-by-step explanation:
Step 1:
2 / 3.25 = x / 6.5
Step 2:
Cross product
2 * 6.5 = 3.25 * x
Step 3:
Simplify
13 = 3.25x
Step 4:
Divide both sides by 3.25
13 / 3.25 = 3.25x / 3.25
4 = x
x = 4
The missing base measure of the enlarged trapezoid is 4cm.
Answer:
its 4cm
Step-by-step explanation:
i got it right
Pls hurry due at midnight‼️
Jaylon makes $57,000 and is getting annual raises of $2,500. Anita makes $64,000
and is getting annual raises of $1,500. How many years, y, will it take for Jaylon and
Anita to make the same amount of money?
A. 1.75
B. 121
C. 7
D. 30.25
Answers
Answer:
the answer is c
Step-by-step explanation:
hope this helpss!!
Answer:
7
Step-by-step explanation:
57000+2500x=64000+1500x
subtract 1500x from both sides
57000+1000x=64000
subtract 57000 from both sides
1000x=7000
divide both sides by 1000
x=7
Jayda takes her dog Rolo to obedience training once each week. Jayda bought a box of 969696 dog treats and split them evenly into bbb bags. Each bag contains 161616 treats.
Write an equation to describe this situation.
Answers
9514 1404 393
Answer:
16b = 96
Step-by-step explanation:
There are many aspects of "this situation" for which we could write equations. Perhaps the one that is of interest is ...
b bags of 16 treats each will total 96 treats
16b = 96
Do these three segments make a right triangle? 16m, 30m, and 34m
Answers
Answer:
it is a right triangle
Step-by-step explanation:
i have no explanation my sister told me with no explanation sorry
Answer:
Yes, the three segments 16,30,34 make a right triangle.
Step-by-step explanation:
The three segments are the following 16,30, and 34.
We will use the Pythagorean Theorem to find out if the three numbers can make a right triangle.
- \(a^2+b^2=c^2\)
When we have 3 numbers given, our largest number is the hypotenuse.
So 34 is our hypotenuse, so we substitute it as the c in our formula.
And our a^2 and b^2 are 16 and 30!
- \(16^2+30^2=34^2\\256+900=1156\\1156=1156\)
Our formula verifies that the three segments provided can make a right triangle.
How do you write the equation in slope intercept form given (2,2) and (0,-2)?
Answers
Answer:
y = 2x - 2
Step-by-step explanation:
The slope-intercept form of the equation of a line is
y = mx + b
where m is the slope, and b is the y-intercept.
y = mx + b
First we find the slope, m.
slope = (difference in y)/(difference in x)
It does not make a difference which point is first and which point is second in finding the differences, but you must do the x- and y-differences in the same order.
slope = (-2 - 2)/(0 - 2) = -4/(-2) = 2
The slope is 2, so m = 2, and now we have:
y = 2x + b
We need to find the value of b, the y-intercept.
We use one of the given points. Let's use (2, 2). We plug in 2 for x and 2 for y and solve for b.
2 = 2(2) + b
2 = 4 + b
-2 = b
b = -2
Now that we know the y-intercept is -2, we substitute b with -2.
y = 2x + b
y = 2x - 2
Answer: y = 2x - 2
The variables x and y are related proportionally. When x=4,y=10. When x=34
PLSS HURRY QUICK MY BARBS
Answers
Answer:
Wheres the question I need it
g we have 4 women and 5 men and want to create a committee with 2 women and 2 men. in how many ways we can do this?
Answers
The required number of ways in which we can create a committee with 2 women and 2 men is 60.
What are Combinations?Combinations are selections that are made by choosing some or all of a group of objects, regardless of how they are arranged.Utilizing the combinations formula, it is simple to determine how many distinct groups of r objects each may be created from the provided n unique objects. The factorial of n divided by the product of the factorial of r and the factorial of the difference between n and r, respectively, is the formula for combinations.Given:
We have 4 women and 5 men.
The required number of ways in which we can create a committee with 2 women and 2 men can be calculated as:
= 4C2 × 5C2
= 4!/(2!)(2!) × 5!/(2!)(3!)
= 6 × 10
= 60
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What is the slope of the line that passes through the points: (3, -4) & (9, 0)?
Answers
Answer: the slope is 2/3.
Step-by-step explanation: The expression for finding slope when given 2 coordinates of the line is (y2 - y1) ÷ (x2 - x1) which just means that you take the y output of the second coordinate given to you and subtract the y output of the first coordinate given from that and the same for the x inputs. So when you plug in the numbers into that expression, you get (0- (-4)) ÷ (9 - 3). When you subract something from a negative number, its the same as adding. So it could also be written as (0 + 4) ÷ (9 - 3). When you subtract and add the numbers in both parentheses you end up with the fraction 4/6, but now you need to simplify that fraction which leaves you with the final answer of the fraction 2/3!
I hope this helps :)
{x ^ 2 + y ^ 2 + x + y = 14; x ^ 2 + y ^ 2 + xy = 7
Answers
The solution set for the x and y-values to the simultaneous second degree polynomial equation are;
(-2, 3), (3, -2), (-√7, √7), (√7, -√7)
What is a simultaneous equation?Simultaneous equations are two or more equations having two or more variables, in which the values of the variables are the same in each equation.
The simultaneous quadratic equation is presented as follows;
x² + y² + x + y = 14...(1)
x² + y² + x·y = 7...(2)
Subtracting equation (2) from equation (1), we get;
x² + y² + x + y - (x² + y² + x·y) = 14 - 7 = 7
x + y - x·y = 7
y - x·y = 7 - x
y·(1 - x) = 7 - x
y = (7 - x)/(1 - x)
Therefore;
x² + y² + x + y = x² + ((7 - x)/(1 - x))² + x + ((7 - x)/(1 - x)) = 14
The above middle expression can be evaluated by using a graphing calculator as follows;
(x⁴ - x³ + x² - 21·x + 56)/(x² - 2·x + 1) = 14
Therefore; x⁴ - x³ - 13·x² + 7·x + 42 = 0
(x + 2)·(x - 3)·(x + √7)·(x - √7) = 0
The solution are therefore; x = -2, x = 3, x = -√7, and x = √7
y = (7 - (-2))/(1 - (-2)) = 3
y = (7 - 3)/(1 - 3) = -2
y = (7 - (-√7))/(1 - (-√7)) = √7
y = (7 - (√7))/(1 - (√7)) = -√7
The possible solutions for the y-values are; y = 3, y = -2, y = √7, y = -√7
Therefore, we get; (-2, 3), (3, -2), (-√7, √7), (√7, -√7
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Use the word problem below to solve the problems. It costs $50 to rent a car plus $3.00 per gallon of gas in the car. If I can spend at most $83.00, then how many gallons of gas can I get when I rent the car? 1.Write the inequality (ex. a + bx < c) and show all work to solve the inequality. 2. Graph the solution to your inequality on a number line.
Answers
Answer:
i just know you can have 12 gallons of gas
Step-by-step explanation:
because it is 3x2=6
3x10=30 which means 10+2=12
Answer:
50×5=78
Step-by-step explanation:
5÷3.00/83.00(ab)
23x +5y−2, when x=6 and y=3.
Answers
Answer:
151
Step-by-step explanation:
Plug in 23(6)+5(3)-2
Simplify 138+15-2
Solve 153-2
151
hdjdsbsbsbhedjdidbdhdhdvdhdhd sorry I got the wrong answet
At a zoo, 3 pandas eat a total of 181 1 2pounds of bamboo shoots each day. The male panda eats 3 times as much as the baby. The female eats twice as much as the baby. How many pounds of bamboo shoots does the female panda eat?
Answers
Answer:
6037.2 pounds of bamboo shoots does the female panda eat.
Step-by-step explanation:
Total pandas = 3
Total bamboo shoots eaten = 18112 pounds
Let baby panda eats bamboo = x
Male panda eats bamboo= 3x
Female panda eats bamboo = 2x
So, the equation will become
\(x+3x+2x=18112\)
Now solving the equation to find value of x
\(x+3x+2x=18112\\6x=18112\\x=\frac{18112}{6}\\x=3018.6\)
The value of x we get : x=3018.6
So, baby panda eats bamboo shoots = 3018.6 pounds
Male panda eats bamboo shoots = 3x = 3(3018.6) = 9055.8 pounds
Female panda eats bamboo shoots = 2x = 2(3018.6)= 6037.2 pounds
So, 6037.2 pounds of bamboo shoots does the female panda eat.
Destiny makes earrings and bracelets to sell. She makes a profit of $15 for
every pair of earrings she sells and a $12 profit for every bracelet she sells
The cost of making one pair of earrings is $4 and the cost of making one
bracelet is $6. She only has $36 she can spend this week to make her
merchandise. She knows she wants to make at least 8 pieces of
merchandise to sell this week. What is the maximum profit she can make
based on these constraints? (If you do not have access to graph paper to
complete this problem, you can use Desmos to graph the constraints.
Remember the steps, 1. Define Variables, 2. List Constraints, 3. Graph and
shade feasible region, 4. Plug in vertices to objective function to find
maximum profit) *
Answers
Answer:
$135
Step-by-step explanation:
She would make 9 pairs of earrings, they have the least cost and the highest profit. No other combination would yield a higher profit.
A real estate agent received a 4.5% commission for selling a house. Find the commission that the agent
eared for selling a house for $245,000.
Answers
Answer:11,025 Steps: (look at image)
Find m∠UTS, if m∠UTV=x+15, m∠VTS=140∘, and m∠UTS=15x+15.
Answers
Answer:
165
Step-by-step explanation:
First, m<UTS=m<UTV+m<VTS by Angle Addition Postulate. Then, you substitute all the values that you provided for the angles. 15x+15=x+15+140. You then solve for x.
15x+15=x+155
14x=140
x=10
You then plug back in 10 for X in the value of m<UTS. 15(10)+15=165
Find the radius of convergence and the interval of convergence
for the following
series.
∑[infinity] (x − 2)n
nn n=1
Problem 2 Find the radius of convergence and the interval of convergence for the following series. [infinity] n=1 (x − 2)n nn
Answers
the radius of convergence is 1 and the interval of convergence is (1, 3) in terms of x-values.
To determine the radius of convergence, we can use the ratio test. The ratio test states that if the limit of the absolute value of the ratio of consecutive terms is less than 1 as n approaches infinity, then the series converges. Applying the ratio test to the given series, we have:
lim(n->∞) |((x - 2)^(n+1)/(n+1)) / ((x - 2)^n/n)| < 1
Simplifying the expression, we get:
lim(n->∞) |(x - 2)n+1 / (n+1)(x - 2)^n| < 1
Taking the absolute value and rearranging, we have:
lim(n->∞) |x - 2| < 1
This implies that the series converges when |x - 2| < 1, which gives us the interval of convergence. The radius of convergence is the distance between the center of the series (x = 2) and the nearest point where the series diverges, which in this case is 1.
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∠1 and ∠ 2 are vertical angles. If m∠1 = (6x + 11)° and m∠2 = (10x – 9)°, find m∠1. *
Answers
Answer:
the answer is 41
Step-by-step explanation:
set both equations equal to each other
then add 9 to the opposite side
next subtract 6 from the other side
divide 20 by 4 and get 5
finally plug 5 into the equation for x for angle 1
which leaves you at the end with 41
4x1+6-9x3-6; answer 7
Add Brackets Or Parentheses to solve
Answers
Answer:
-23
Step-by-step explanation:
Remember Bedmas/Pedmas
P/B = Bractets or parentheses ( )
E = Exponents 3⁵
D = Division ÷
M = Multiply ×
A = Addition
S = Subtract
(4x1)+6-9x3-6
4+6-(9×3)-6
(4+6)-27-6
(10-27)-6
-17-6
-23
△abc is similar to △lmn. also, side ab measures 5 cm, side ac measures 7 cm, and side lm measures 35 cm. what is the measure of side ln ? enter your answer in the box.
Answers
x = 245/5 x = 49, the length of the side LN is 49 cm.
The sides of the triangles ABC and LMN are proportional due to their similarity. Let's call the length of the LN side x cm.
We are able to establish the proportion based on the similarity as follows:
When we plug in the given values, we get AB/LM = AC/LN:
5/35 = 7/x We can cross-multiply and solve for x to get x:
When we divide both sides by 5, we get: 5x = 7 * 35 5x = 245
Since x = 245/5 x = 49, the length of the side LN is 49 cm.
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Item 20
Write the word sentence as an equation. Then solve.
The difference between a number p and 6 is −14.
Equation:
Solution: p=
Answers
Answer:
p-6=-14
Step-by-step explanation:
since it is said that it is the difference between them
solution : p = -8
HELP PLEASE.
the line N is drawn below.
Find the equation of the line perpendicular to line N that passes through the point (0,1).
Answers
First, we know that the slope of the line perpendicular to N is the negative reciprocal of the slope of N. So, if the slope of N is m, then the slope of the line perpendicular to N is -1/m.
Next, we can use the point-slope form of the equation of a line to find the equation of the line perpendicular to N that passes through point (0,1). The point-slope form is:
y - y1 = m(x - x1)
where m is the slope of the line and (x1, y1) is a point on the line.
Substituting in the values we have:
y - 1 = (-1/m)(x - 0)
Simplifying:
y = (-1/m)x + 1
This is the equation of the line perpendicular to N that passes through point (0,1).
Savanna is ordering crafts for Thanksgiving for her class. Each individual craft cost $1.50. There are a shipping fee and handling fee of $10.00 per order. Why are the quantities important?
Answers
Answer:
i smell penys
Step-by-step explanation:
Really Easy, Help pleaseee
Answers
1 minute = 0.25km
Step-by-step explanation:
divide both numbers that were given by 8. 8÷8 is 1 and 2÷8 is 0.25.
Can i get some help :
Answers
Answer: so, option 1 and 3 are true
1. True: The left side 6 is equal to the right side 6 , which means that the given statement is always true.
2. False: The left side 39 does not equal to the right side 9 , which means that the given statement is false.
3. True: The left side 16 is equal to the right side 16 , which means that the given statement is always true.
4. False: The left side 21 does not equal to the right side 19 , which means that the given statement is false.
Step-by-step explanation:
The factors that affect the reject rates at the company's footwear production facilities include a) per worker expenditures for best practices training, the S/Q rating of the pairs being produced, the percentage use of superior materials, and expenditures for TQM/Six Sigma quality control efforts. b) workers' total compensation package, the percentage use of superior materials, and the S/Q rating of the pairs being produced. c) the size of the incentive payment per non-defective pair produced, expenditures for best practices training per worker, spending for TQM/Six Sigma quality control efforts, and the percentage use of new equipment versus refurbished equipment. d) the size of worker's annual base pay, the number of models/styles comprising the company's product line, the size of the productivity quota that is established for workers, and the percentage use of superior materials. e) the S/Q rating of the pairs being produced, annual company expenditures to make the company's models easier to produce, and installation of production improvement option D.
Answers
The answer of given question is option a) per worker expenditures for best practices training
What do you mean by term expenditures ?The term "expenditures" refers to the sum of money that a person, business, or government spends or pays for a particular objective or thing. It is the total amount of money spent on products and services over a certain time period. Costs associated with operating a business or organisation, such as salaries and wages, materials, supplies, equipment, advertising, utilities, and rent, can all be considered expenditures.
According to question
The satisfying statement is
a) per worker expenditures for best practices training, the S/Q rating of the pairs being produced, the percentage use of superior materials, and expenditures for TQM/Six Sigma quality control efforts.
So, option (a) is correct
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i need help with this
Answers
Answer:
3
Step-by-step explanation:
Anyone know the song you broke me first?
Answers
Answer:
Yes its very sad (the words)
Step-by-step explanation:
Not going to lie but it does kind of sound like camila cabeo sang it.
I really like the tune and the singing too
two boats leave a dock at the same time. one boat travels south at and the other travels east at . after half an hour, how fast is the distance between the boats increasing?
Answers
After half an hour the two boats will be at a distance of 68 mph
Given,
Both boats are moving in a direction that creates a right angle triangle. The lengths of the triangle's legs are the distances that both boats travelled going straight south and straight east. The hypotenuse of a right angle triangle is the distance between them after t hours.
Let x stand for the length of the triangle's shorter south leg.
Let y stand for the length of the right angle triangle's longer (east) leg.
Assume that z is the hypotenuse.
Using the Pythagorean theorem
Hypotenuse² = opposite side² + adjacent side²
Therefore
z² = x² + y²
We would discriminate with regard to t in order to ascertain the speed of the distances' alterations.
It develops,
2zdz/dt = 2xdx/dt + 2ydy/dt- - - -- - -1
One travels south at 32 mi/h and the other travels east at 60 mi/h. It means that
dx/dt = 32
dy/dt = 60
Distance = speed × time
Since t = 0.5 hour, then
x = 32 × 0.5 = 16 miles
y = 60 × 0.5 = 30 miles
z² = 16² + 30² = 256 + 900
z = √1156z = 34 miles
Substituting these values into equation 1, it becomes
2 × 34 × dz/dt = (2 × 16 × 32) + 2 × 30 × 60
68dz/dt = 1024 + 3600
68dz/dt = 4624
dz/dt = 4624/68
dz/dt = 68 mph
Therefore,
The distance between the boats after half an hour is 68 mph
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Completed question is given below with missing parts.
Two boats leave a dock at the same time. One boat travels south at 32 mi divided by hr32 mi/hr and the other travels east at 60 mi divided by hr60 mi/hr. After half an hour, how fast is the distance between the boats increasing?
Please help!
Jamal deposited $4,253 in a savings account earning 1% interest, compounded annually.
To the nearest cent, how much will he have in 4 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answers
Answer:
4425.7
Step-by-step explanation:
Is $9 : 4 visitors - $18 : 8 visitors proportional
Answers
Yes, $9 for 4 visitors and $18 for 8 site visitors are proportional.
To determine whether or not $9 for 4 visitors and $18 for 8 visitors are proportional, we need to test if the ratio of the value to the number of visitors is the equal for both cases.
The ratio of cost to the quantity of visitors for $9 and four visitors is:
$9/4 visitors = $2.25/ visitors
The ratio of value to the quantity of visitors for $18 and eight visitors is:
$18/8 visitors = $2.25/ visitors
We are able to see that both ratios are equal to $2.25 per visitor.
Therefore, $9 for 4 visitors and $18 for 8 site visitors are proportional.
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