Answer:
By two numbers which are 31 and 37
Step-by-step explanation:
PLEASE HELP I WILL MARK BRAINLIEST AND GIVE EXTRA POINTS!
If Z is the standard normal variable, then what is the P(Z > -2.34)?
Answer:
ohh I don't know these kind of questions so I can't help hehe
g(t) = (t 1)2 = 20.25
1) What are the zeros of the function?
Write the smaller t first, and the larger t second.
Answer:
The zeros are (-5.5, 0) and (3.5, 0).
Step-by-step explanation:
g(t) = (t + 1)² − 20.25
0 = (t + 1)² − 20.25
20.25 = (t + 1)²
±4.5 = t + 1
t = -1 ± 4.5
t = -5.5 or 3.5
for what values of a and b is the following function continuous at every x?
Answer:By solving a system of equations, we will see that the function is continuous for all values of x
Step-by-step explanation:
Sam owns a decorative bowls & dishes store. He sells a set of plates (including 8 plates) for $25. Considering that he pays $2 for each plate and has a fixed cost of $45,000. (4+4+7 = 15 Marks)
a) How many sets of plates need to be sold to break even?
b) Find the break-even revenue.
c) He recently hired an assistant; this is expected to cost $35,000 and there is a 15% increase in the variable cost per each plate. Based on the additional cost, calculate both break-even revenue and break-even volume
(a) Sam needs to sell 5,000 sets of plates to break even.
(b) The break-even revenue is $125,000.
(c) The break-even revenue, considering the additional cost, is $303,025.
a) To calculate the number of sets of plates that need to be sold to break even, we need to consider the fixed cost, variable cost, and selling price per set.
Each set of plates includes 8 plates, and the cost of each plate is $2. Therefore, the variable cost per set of plates is 8 * $2 = $16.
To break even, the total revenue from selling sets of plates should cover the fixed cost and variable cost. We can calculate the break-even point by dividing the fixed cost by the contribution margin per set.
Contribution margin per set = Selling price per set - Variable cost per set
Contribution margin per set = $25 - $16 = $9
Break-even point = Fixed cost / Contribution margin per set
Break-even point = $45,000 / $9
Break-even point = 5,000 sets of plates
Therefore, Sam needs to sell 5,000 sets of plates to break even.
b) To obtain the break-even revenue, we multiply the break-even point (number of sets) by the selling price per set.
Break-even revenue = Break-even point * Selling price per set
Break-even revenue = 5,000 * $25
Break-even revenue = $125,000
The break-even revenue is $125,000.
c) With the addition of the assistant, the fixed cost increases by $35,000, resulting in a new fixed cost of $45,000 + $35,000 = $80,000.
The variable cost per plate increases by 15%, which means it becomes $2 + ($2 * 0.15) = $2.30.
The new variable cost per set of plates is 8 * $2.30 = $18.40.
Contribution margin per set = Selling price per set - Variable cost per set
Contribution margin per set = $25 - $18.40 = $6.60
Break-even point = Fixed cost / Contribution margin per set
Break-even point = $80,000 / $6.60
Break-even point ≈ 12,121.21 sets of plates
Therefore, Sam needs to sell approximately 12,121 sets of plates to break even with the additional cost.
Break-even revenue = Break-even point * Selling price per set
Break-even revenue = 12,121 * $25
Break-even revenue = $303,025
The break-even revenue, considering the additional cost, is $303,025.
Learn more about break- even revenue here, https://brainly.com/question/21137380
#SPJ11
Sarah hopes to be 5 feet tall by her birthday. Right now, she is 148 centimeters. How many more centimeters does Sarah need to grow in order to reach 5 feet? Complete the sentences below.
Sarah needs to grow 4.4 cm to reach 5 feet.
Finding the height:
To solve the given problem we need to convert the given measurements into the same units.
Here we have feet and centimeters, we will convert given feet into centimeters using the following
1 foot = 30.48 cmHere we have
Sarah hopes to be 5 feet tall by her birthday.
Sarah's height is 148 cm
Since, 1 foot = 30.48 cm
=> 5 feet = 152.4 cm
Hence,
the height that Sarah needs to grow = 152.4 - 148 = 4.4 cm
Therefore,
Sarah needs to grow 4.4 cm to reach 5 feet.
Learn more about Height problems at
https://brainly.com/question/28957967
#SPJ1
Hailey has 48 inches of ribbon. How many feet of ribbon does she have?
Conversion:
12 inches = 1 foot
Divide:
48 / 12 = 4
Therefore, Hailey has 4 feet of ribbon.
Best of Luck!
Answer: 4 foot of ribbon
Step-by-step explanation: there is 12 inches in one foot so this means to get the answer you must divide 48 by 12 to get 4 so 4 feet is the answer
hope this helps and mark me brainliest if it did hope you have a great day
Be prepared!!! Help please!!!! What is 1/3x 3.14x6^2x11 equal????
A train is traveling at 50 miles per hour. What is the train?
Answer:
The speed of the train = 50 mph = 50*1.61 = 80.5 km/hr = 80.5*1000/3600 = 22.36 m/s. The speed of a train is 54 km/h excluding its halting time.
Hope this helps! :)
Write the expression 5x(x + 9) − 7(x + 9) in complete factored form. How do you do this step by step
Answer:
(x+9) are the like terms so u just put 5x and -7 in brackets
the answer is
(5x-7) ( x+9)
2343443444
Is it rational or irrational?
Answer:rational
Step-by-step explanation:
Answer:irrational
Step-by-step explanation: because rational is a pattern for example 0.333333333333333 it’s stays the same number and goes on forever another example 0.2424242424242424 and irrational is opposite for example 0.639363920263739267392674035252 And goes on forever :)
How do you find the inverse of a modulo?
You need to find a number that, when multiplied by a given number modulo a certain value, produces a remainder of 1. This can be done using the extended Euclidean algorithm, and the resulting inverse is the residue of the coefficient modulo the modulus.
Finding the inverse of a modulo involves finding a number that, when multiplied by a given number modulo a certain value, produces a remainder of 1. This process is important in modular arithmetic, where calculations are performed with remainders of a fixed integer modulus.
To find the inverse of a modulo, you can use the extended Euclidean algorithm, which is a method for finding the greatest common divisor of two integers.
The steps for finding the inverse of a modulo are as follows:
1. Identify the number you want to find the inverse of (let's call it "a") and the modulus (let's call it "m").
2. Use the extended Euclidean algorithm to find the greatest common divisor of "a" and "m", and the coefficients x and y such that ax + my = gcd(a,m).
3. If gcd(a,m) = 1, then "a" has an inverse modulo "m" and the inverse is given by x mod m.
4. If gcd(a,m) is not equal to 1, then "a" does not have an inverse modulo "m".
In step 3, x mod m represents the residue of x modulo m, which is the unique non-negative integer less than m that is congruent to x modulo m. In other words, it is the remainder when x is divided by m.
For example, to find the inverse of 5 modulo 7, we can use the extended Euclidean algorithm to find that 2(5) + (-1)(7) = 1. Therefore, the inverse of 5 modulo 7 is 2.
Learn more about modulo here: brainly.com/question/29262253
#SPJ4
what is 1 1/2 x 3 1/2 x 2 1/2
\(-0.2\sqrt{x^2}\) You have to simplify this
Answer:
The simplified answer to that is -0.2x.
Hope this helps and if you could mark this as brainliest. Thanks!
Answer:
-0.2x
Step-by-step explanation:
If x is negative then,
-0.2(-2) = 0.4
Find the measures of angle A and B. Round to the nearest degree.
The measure of angle A and B is 30° and 60° respectively.
What is trigonometric ratio?Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.
Sin(tetha) = opp/hyp
cos(tetha) = adj/hyp
tan(tetha) = opp/adj
16 is hypotenuse and 8 is opposite
therefore, sin(tetha) = 8/16
sin(tetha) = 0.5
tetha = sin^-1 ( 0.5)
= 30°
The sum of angle in a triangle is 180°. Therefore ,
angle B = 180-(90+30)
= 180-120 = 60°
therefore the measure of angle A and B is 30° and 60° respectively.
learn more about trigonometric ratio from
https://brainly.com/question/24349828
#SPJ1
a gate has a standard key pad with the digits 0 through 9. how many possible code combinations are there if the code is 4 digits long.
There are 10,000 possible code combinations for a 4-digit code on a standard keypad with digits 0 through 9.
To calculate the number of possible code combinations for a 4-digit code on a standard keypad with digits 0 through 9, we need to use the fundamental counting principle.
The fundamental counting principle states that if there are m ways to perform one task and n ways to perform another task, then there are m x n ways to perform both tasks together. This principle can be extended to any number of tasks.
For a 4-digit code, each digit can be chosen independently from the other digits, and there are 10 possible digits to choose from (0-9). Therefore, using the fundamental counting principle, we can calculate the number of possible code combinations as follows:
Number of possible code combinations = number of choices for the first digit x number of choices for the second digit x number of choices for the third digit x number of choices for the fourth digit
Number of possible code combinations = 10 x 10 x 10 x 10 = 10,000
This means that the chances of guessing the correct code by random chance are 1 in 10,000.
To learn more about combinations click on,
https://brainly.com/question/29574610
#SPJ4
PLS HELP ASAP!!!! 50 PTS
Answer: x=4
Step-by-step explanation:
6x + 10 = 5x + 14
x + 10 = 14
x = 4
Every natural number is an integer. True or false?
Answer:
yes every natural number is integer
because intezer is collection of positive and negative numbers....
Answer:
Step-by-step explanation:
Hello friend!!!
It's TRUE
Natural numbers are the range of numbers from 1 to infinite.
Integers are made up of positive as well as negative numbers.
Since natural numbers are positive numbers, they are also integers.
Hope this helps
plz mark as brainliest!!!!!
Find the surface area of the rectangular prism
Answer:
185.68 cm3
Step-by-step explanation:
SA = 2 (L x W) + 2 (L x H) + 2 (W x H)
= 2 (8.2 x 3.4) + 2 (8.2 x 5.6) + 2 (3.4 x 5.6)
= 2 (27.88) + 2 (45.92) + 2 (19.04)
= 55.76 + 91.84 + 38.08
SA = 185.68 cm3
2 (0815010)
Last week, a ski shop received $2469.77 for selling 23 skis Kids skis sell for $89.99 and adult
siis sell for $129.99. How many adult skis did the store sell?
(2) 8
(3) 10
(4) 13
Will give BRAINlist!!!
Answer:
10
Step-by-step explanation:
3x - 5y - z + 13
pls show your work
3x-5y-z+13.
it is simplified all the way there is nothing to add
#14What is the sphere's volume?
The volume of the sphere is approximately 972 cubic inches.
Option C is the correct answer.
We have,
The formula for the volume of a sphere.
V = (4/3)πr³
where r = radius of the sphere.
Since the diameter of the sphere is given as 18 inches, the radius is half of that, or:
r = 18/2 = 9 inches
Substituting this value into the formula, we get:
V = (4/3)π(9³) = (4/3)π(729) ≈ 972 cubic inches
Therefore,
The volume of the sphere is approximately 972 cubic inches.
Learn more about Sphere here:
https://brainly.com/question/12390313
#SPJ1
A. joy purchased s dollars worth of stock using a broker from glen head brokerage firm. the
current value of her portfolio is $21,771. express algebraically the broker fee she must
pay for this transaction.
4
The broker fee Joy must pay for this transaction is given by the expression 21,771 - s, where 's' represents the amount she invested in dollars.
The current value of Joy's portfolio is $21,771. She purchased the stocks using a broker, and we need to find the broker fee 'f'.
The total cost of the transaction, including the broker fee, would be the current value of the portfolio. Therefore, we can set up the equation:
s + f = 21,771
Since we are solving for 'f', we rearrange the equation:
f = 21,771 - s
The broker fee Joy must pay for this transaction is given by the expression 21,771 - s, where 's' represents the amount she invested in dollars.
To know more about portfolio, visit
https://brainly.com/question/17165367
#SPJ11
H. On average, Luke Hobbs drives 560 miles in 8 hours. How far does he drive in 1.5 hours?
The coordinate grid shows points A through K. What point is a solution to the system of inequalities? y > −2x + 10 y > 1/2x − 2 coordinate grid with plotted ordered pairs, point A at negative 5, 4 point B at 4, 7 point C at negative 2, 7 point D at negative 7, 1 point E at 4, negative 2 point F at 1, negative 6 point G at negative 3, negative 10 point H at negative 4, negative 4 point I at 9, 3 point J at 7, negative 4 and point K at 2, 3
answer:
a) E
b) K
c) B
d) D
Based on the analysis, point D at (-7, 1) is the only solution to the system of inequalities y > -2x + 10 and y > (1/2)x - 2. Therefore, the correct answer is option d) D.
To determine which point is a solution to the system of inequalities y > -2x + 10 and y > (1/2)x - 2, we can test each point to see if it satisfies both inequalities.
a) Point E at (4, -2):
Substituting the coordinates into the inequalities:
-2 > -2(4) + 10 -> -2 > -8 + 10 -> -2 > 2 (False)
-2 > (1/2)(4) - 2 -> -2 > 2 - 2 -> -2 > 0 (False)
b) Point K at (2, 3):
Substituting the coordinates into the inequalities:
3 > -2(2) + 10 -> 3 > -4 + 10 -> 3 > 6 (False)
3 > (1/2)(2) - 2 -> 3 > 1 - 2 -> 3 > -1 (True)
c) Point B at (4, 7):
Substituting the coordinates into the inequalities:
7 > -2(4) + 10 -> 7 > -8 + 10 -> 7 > 2 (True)
7 > (1/2)(4) - 2 -> 7 > 2 - 2 -> 7 > 0 (True)
d) Point D at (-7, 1):
Substituting the coordinates into the inequalities:
1 > -2(-7) + 10 -> 1 > 14 + 10 -> 1 > 24 (False)
1 > (1/2)(-7) - 2 -> 1 > -3.5 - 2 -> 1 > -5.5 (True)
Based on the analysis, point D at (-7, 1) is the only solution to the system of inequalities y > -2x + 10 and y > (1/2)x - 2. Therefore, the correct answer is option d) D.
For more questions on inequalities
https://brainly.com/question/1870140
#SPJ11
don’t mind the second one l o l
Answer:
I think a because i'm doing this stuff in math too
Step-by-step explanation:
I dont know the explanation
Janine wants to build a model using 1/2-inch cubes. How many 1/2-inch cubes would she use to build a solid, cube-shaped model with side lengths of 4 inches? Show your work.
mother divided the money among jan, jane and jello , in the ratio 4:9:6. If Jan got $200, find the total amount and money received by jane and jello
Step-by-step explanation:
Let,
Money received by Jan = 4xMoney received by Jane = 9xMoney received by Jello = 6xAccording to the question,
→ Money received by Jan = $200
→ 4x = $200
→ x = $200 ÷ 4
→ x = 50 ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀… ( 1 )
Now,
→ Money received by Jane = 9x
→ Money received by Jane = 9($50)
→ Money received by Jane = $450 [Ans]
And,
→ Money received by Jello = 6x
→ Money received by Jello = 6($50)
→ Money received by Jello = $300 [Ans]
URGENT! WILL MARK BRAINLIEST! Identify the GCF of the terms (x • x) and
and (4 • x)
The GCF is ____
Explain your reasoning.
Answer: Greatest common factor is x.
Step-by-step explanation:
(\(x^2\)) (4x)
Both terms share x. x is the Greatest Common factor, and the only factor in this manner.
If you were to simplify and take out the x, you would have:
x (x)*(4)
The cost of carpeting a square room at Rs 25 per sq m is Rs 1600. The cost of painting 4 walls of the room at Rs 5 per sq m is Rs 800, then the height of the room is?
The height of the room is 5 meters.To find the height of the room, we need to determine the area of the room and then divide it by the length of one side of the room.
Given that the cost of carpeting the room is Rs 1600 at a rate of Rs 25 per sq m, we can calculate the area of the room by dividing the cost by the rate: 1600 / 25 = 64 sq m. Since the room is square, each side of the room is the square root of the area: √64 = 8 m.
Next, we can determine the area of the four walls by dividing the cost of painting the walls (Rs 800) by the rate (Rs 5 per sq m): 800 / 5 = 160 sq m. Since we are painting all four walls, we need to divide the total area by 4: 160 / 4 = 40 sq m.
Now, we can find the height of the room by dividing the area of the walls (40 sq m) by the length of one side of the room (8 m): 40 / 8 = 5 m.
Therefore, the height of the room is 5 meters.
For more question on area
https://brainly.com/question/25292087
#SPJ8
A rectangular prism measures 3 cm by 9 cm by 27 cm . What is the length in centimeters of a cube with the same volume ?
Answer:
9 cmStep-by-step explanation:
Volume of the prism:
V = lwh = 3*9*27 = 729 cm³Volume of the cube:
V = a³ = 729 cm³Side of the cube:
a = ∛729 = ∛9³ = 9 cmStep-by-step explanation:
V = l•w•h = 3•9•27 = 729cm³ V = a³ <=> a³ = 729 a = 9cm