Answer:
Explanation
Step-by-step explanation:
First, we work on the inequality, we're given the total that can be spent, and price of what is required, hence we can build the inequality following:
\(3.30x\leq 95\)
With the information given, we solve for x and round:
\(3.30x=95\\x=28.78\\\)
We can round 28.78 to 28, 29 would break the inequality.
Write a variable expression to model real world situation.
A suit costs $65. Represent the cost of n suits.
There are 86{,}40086,40086, comma, 400 frames of animation in 111 hour of anime. How many frames are there per second? There are 3600 seconds in one hour
Answer
24 frames per second
Step-by-step explanation:
Total frames=86,400
Total time=1 hour
Find frame per second
1 hour= 60 minutes*60 seconds
1 hour=3600 seconds
Frame per second=Total frames/Total number of seconds
=86,400/3600
=24 frames per second
a sample of five households is selected, and the size of each household is recorded. the median size is 3 and the mode is 2. what is the mean?
The relation between mode, mean and median is:
mode=3median-2mean
Now, to find mean:
2mean=3median-mode
mean=7/2 = 3.5
Let we wish to evaluate the mean μ of a population. In real practice we would typically take just one sample. Imagine still that we take sample after sample, all of the same size n, and compute the sample mean x¯ every time.
The sample mean x is a random variable: it differs from sample to sample in a way that cannot be predicted with sureness. We will write X¯ when the sample mean is idea of as a random variable and write x for the values that it takes.
The random variable X¯ has a mean, denoted μX¯, and a standard deviation, denoted σX¯. Here is an example with such a small population and small sample size that we can indeed write down every single sample.
To know more about Mean:
https://brainly.com/question/30112112
#SPJ4
hey honeys, anyone wanna help me out here? <3
Answer:
D:4
Step-by-step explanation:
12(4)-5=5(4)+23
43=43
Hope this helps
The triangle with vertices at l space open parentheses minus 2 comma space 5 close parentheses comma e space open parentheses 1 comma space 4 close parentheses comma and d space open parentheses 2 comma space minus 2 close parentheses is translated 4 units left, 3 units up, and then reflected over the line y equal 4 to form the image triangle l apostrophe e apostrophe d apostrophe. Which vertex of the image is the greatest distance from the origin?.
The greatest distance from the origin is 10, which corresponds to vertex L'' (6, 8) of the image triangle.
To determine the vertex of the image triangle that is the greatest distance from the origin, we need to follow the given transformations step by step and find the coordinates of the image vertices.
1. Translation: The given triangle is translated 4 units left and 3 units up.
- Vertex L' is located at (-2 - 4, 5 + 3) = (-6, 8).
- Vertex E' is located at (1 - 4, 4 + 3) = (-3, 7).
- Vertex D' is located at (2 - 4, -2 + 3) = (-2, 1).
2. Reflection: The translated triangle is reflected over the line y = 4.
- The line y = 4 acts as a mirror. The y-coordinate of each vertex remains the same, but the x-coordinate is reflected.
- Vertex L'' is located at (-(-6), 8) = (6, 8).
- Vertex E'' is located at (-(-3), 7) = (3, 7).
- Vertex D'' is located at (-(-2), 1) = (2, 1).
Now, we have the coordinates of the image triangle vertices: L'' (6, 8), E'' (3, 7), and D'' (2, 1).
To determine which vertex is the greatest distance from the origin (0, 0), we can calculate the distances using the distance formula:
- Distance from the origin to L'': √[(6 - 0)² + (8 - 0)²] = √(36 + 64) = √100 = 10.
- Distance from the origin to E'': √[(3 - 0)² + (7 - 0)²] = √(9 + 49) = √58.
- Distance from the origin to D'': √[(2 - 0)² + (1 - 0)²] = √(4 + 1) = √5.
Therefore, the greatest distance from the origin is 10, which corresponds to vertex L'' (6, 8) of the image triangle.
learn more about triangles here:
https://brainly.com/question/2773823
#SPJ11
should the researcher use the rows or the columns of the field as blocks? justify your answer.
Yes, the researcher use the rows or the columns of the field as blocks.
When conducting research, it is important to think about which structure to use as the basis for your work.
In particular, when dealing with a matrix, the question arises of whether the researcher should use the rows or columns as blocks.
Both have their own advantages and drawbacks, which should be taken into consideration before making a decision.
However, it can be challenging to discover similarities between data points within the same row.
Additionally, the matrix structure can become distorted, as the data points no longer form a neat square or rectangle.
Ultimately, which approach the researcher should take depends on the type of research being conducted and the goals of the project.
To know more about matrix here.
https://brainly.com/question/28180105
#SPJ4
is 15.5 a rational number
Answer:
yes!
Step-by-step explanation:
a rational number is a number that you can get by a fraction, like in this case 31/2
Answer:
Yes.
Step-by-step explanation:
15.5 is a rational number, because it can be expressed as a fraction.
15 1/2
= 31/2
An ice cream factory makes 330 quarts of ice cream in 2 hours. How many quarts could be made in 12 hours?
Answer:
1980
Step-by-step explanation:
Lets figure out how many quarts can be made in 1 hourso take 330/2 hours Which equals 165Now we know that 165 quarts are made every hourMultiply 165 by 12 hoursWhich is 1980 quarts
help me answer both 6 n 7 please
Answer:
Hope this helps!!
Step-by-step explanation:
6) A = 1/2 h (b1 + b2)
=> 2A = h (b1 + b2)
∴ h = 2A/(b1 + B2)
7) p = m(q - n)
∴ m = p/(q-n)
About 20% of software engineers in Silicon Valley earn approximately $50,000 per year.
In a random sample of 80 software engineers, let X represent the number of engineers that earn approximately $50,000 per year.
a. Find the probability that at most 20 earn approximately $50,000 per year.
Kayden just accepted a job at a new company where he will make an annual salary of
$48000. Kayden was told that for each year he stays with the company, he will be
given a salary raise of $4500. How much would Kayden make as a salary after 4 years
working for the company? What would be his salary after t years?
Salary after 4 years:
Salary after t years:
The salary of Kayden after 4 years will be $ 221,952.00
The annual salary is $48000
Salary rise is $4500
The rate of the this salary can be found out by \(\frac{48,000- 4500}{48000}\)
= \(\frac{43,500}{48,000}\) × 100
= 90.6 %
The time interval is 4 years
thus the prinicipal amount is given as $48000.
thus simple interest is P × R × T/ 100
which when calculated will give us
simple interest = $221,952.00
$221,952.00 is the total amount accrued from simple interest on a principal of $48,000.00 at a rate of 90.6% per year for 4 years. This includes both principal and interest.
To know more about simple interest or related problems you may visit the link which is mentioned below:
https://brainly.com/question/25845758
#SPJ13
f(x) = \(2^{x}\) - 2 and g is a horizontally scaled function of f. The functions are graphed where f is solid and g is dashed. What is the equation of g?
A. g(x) = \(2^{3x}\) - 2
B. g(x) = \(2^{\frac{1}{3}x }\) - 2
C. g(x) = \(2^{2x} - 2\)
D. g(x) = \(2^{\frac{1}{2}x} - 2\)
Answer: D) g(x)= 2^1/2x -2
Step-by-step explanation:
Can someone help me solve please I cannot figure out the awnser..
Answer:
Change on Day 1 = 29.80 °C
Change on Day 2= 30.60 °C
the most change occurred on Day 2
Step-by-step explanation:
Given a table of days and temperatures, you are asked for the changes each day, and you are asked which day changed the most.
ChangeIn general, the change in an amount is the difference between the final amount and the beginning amount. Here we have temperatures at the beginning of the day and the end of the day. We presume the change of interest is the difference between the temperature at the end of the day and that at the beginning.
Day 1 changeend of day temp - beginning temp = 18.74 -(-11.06) = 29.80 . . . °C
Day 2 changeend of day temp - beginning temp = 21.29 -(-9.31) = 30.60 . . . °C
Most changeThe day 2 change is larger than the day 1 change, so the most change occurred on day 2.
The larget taco contained approximately 1 kg of onion for every 6. 6 kg grilled teak. The total weight of thee two ingredient wa 617. 3 kg. How many kilogram of each ingredient were ued?
The largest taco contained approximately 1 kg of onion for every 6. 6 kg grilled teak. then Amount of grilled steak used: 6.6 (79.17) = 538.356 kg
What is a unit amount in math?
When a price is expressed as a quantity of 1, such as $25 per ticket or $0.89 per can, it is called a unit price. If you have a non-unit price, such as $5.50 for 5 pounds of potatoes, and want to find the unit price, divide the terms of the ratio
1 k + 6.6 k = 617.3
Where “k” is a constant value, a multiplier.
Solving for k:
7.8 k = 617.3
k = 617.3 /7.8
k= 79.17
So:
Amount of onion used:
1 (79.17) = 79.17 kg
Amount of grilled steak used:
6.6 (79.17) = 538.356 kg
learn more about of ingredient here
https://brainly.com/question/15103492
#SPJ4
Amazon Math Flow Questions • You have 30 associates who all work an 8 hour day, 5 days a week. 2 need to be indirect-they are not on the floor producing. Your direct rate is 150 units per hour but you have two 15 minute breaks during the day. How many units can your department produce in a 40 hour week? . If you need to produce an extra 10,000 units in a given week how many extra people will it require? Question: Each sandwich takes 10 minutes to make which means in the 10 hour shift there will be a... Each sandwich takes 10 minutes to make which means in the 10 hour shift there will be a total of 60 sandwiches. The deli wants an efficient way to increase the sandwich output using the same five workers and 10 hour shift (Don't Factor Break in) to produce 75 because of the 25% increase due to the expansion of the deli. What would you do to make the the process more efficient? Where each sandwich would take 8 minutes to make instead of 10 minutes. Please answer the question throughly.
Extra people required is 50.
Each of the five workers should increase their efficiency to a rate of 15 sandwiches per 10 hour shift.
What is Proportion?Proportions are defined as the concept where two or more ratios are set to be equal to each other.
Question 1 :
Number of associates = 30
Number of direct workers = 30 - 2 = 28
You work 8 hours a day and 5 days a week with two 15 minutes break or 30 minutes break per day.
Direct rate = 150 units per hour
Number of working hours in a week with break = 8 × 5 = 40 hours per week Number of working hours in a week = 7.5 hours per day × 5 days a week
= 37.5 hours per week
Units that department produce in a 40 hour week = 37.5 × 150 = 5625 units
28 people produce 5625 units in a week
Let x people produce 10,000 + 5625 = 15,625 units in a week
Using proportion,
28 : 5625 = x : 15,625
28 / 5625 = x / 15,625
x = (28 × 15,625) / 5625 = 77.78 ≈ 78
Extra people required = 78 - 28 = 50
Question 2 :
Number of sandwiches made in 10 minutes = 1
Number of sandwiches made in 10 hours = 60
5 workers are there. one worker makes 60/5 = 12 sandwiches
But Deli want number of sandwiches in 10 hours = 75
One worker should make 75/5 = 15 sandwiches instead of 12.
Number of sandwiches made in 8 minutes should be 1.
So the working efficiency on each worker should be increased and produce each one should produce 15 sandwiches in a 10 hour shift.
Hence extra people required in question 1 is 50 and efficiency of each worker in question 2 should be increased to 15 sandwiches in 10 hours shift.
Learn more about Proportion here :
https://brainly.com/question/26974513
#SPJ1
Consider these functions:
f(x)=-1/2x² + 5x
g(x)=x² + 2
What is the value of f(g(-2))?
O A. -28
OB.
O C. 12
O D.
-12
146
\(f(x)=-\cfrac{1}{2}x^2 + 5x\hspace{13em}g(x)=x^2+2 \\\\[-0.35em] ~\dotfill\\\\ g(-2)=(-2)^2+2\implies g(-2)=4+2\implies g(-2)=6 \\\\[-0.35em] ~\dotfill\\\\ f(~~g(-2)~~)\implies f(6)\implies f(6)=-\cfrac{1}{2}(6)^2+5(6) \\\\\\ f(6)=-\cfrac{36}{2}+30\implies f(6)=-18+30\implies \stackrel{f(~~g(-2)~~)}{f(6)}=12\)
Agustín pagó $ 120 por una carpeta y dos paquetes de hojas; mientras que Mauricio pagó $ 190 por
costo de una carpeta y de un paquete de hojas. Después resuelve dicho sistema.
tres paquetes de hojas y dos carpetas. Plantea un sistema de ecuaciones que permita calcular el costo de una carpeta y de un paquete de hojas
Ayúdenme por favor
The cost of a folder is: $20
The cost of a package of sheets is $50.
How do we calculate cost of each folder and pack of sheets?The system of equations with variables:
C: number of foldersQ: number of packs of sheets
Juan paid 120 pesos for a folder and 2 packages of sheets:
C + 2P = 120
Clearing C:
C = 120 - 2P
Manuel paid 190 pesos for 3 packages of sheets and 2 folders:
2C + 3P = 190
Substituting the "C":
2 * (120 - 2P) + 3P = 190
240 - 4P + 3P = 190
-P = 190 - 240
-P = -50
P = $50
The price for a folder is:
C = 120 - 2 * 50
C = $20
Translated question "Juan paid 120 pesos for a folder and 2 packages of sheets while Manuel paid 190 pesos for 3 packages of sheets and 2 folders.Calculate the cost of a folder and a package of sheets."
Read more about cost
brainly.com/question/25109150
#SPJ1
(x-2) + (x+6)
Please help me with this it is 7th grade pre algebra.
Answer: 2x+4
Step-by-step explanation:
add like terms
x+x=2x
-2+6=4
write an anonymous function to compute the euclidean distance given two points (x1, y1) and (x2, y2). use the following equation to calculate the distance.
The anonymous function to compute the euclidean distance given two points (x1, y1) and (x2, y2) is ``python
euclidean_distance = lambda x1, y1, x2, y2: ((x2 - x1)**2 + (y2 - y1)**2)**0.5.
To compute the Euclidean distance given two points (x1, y1) and (x2, y2). Here's the step-by-step explanation using the Euclidean distance equation:
1. Recall the Euclidean distance equation: distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
2. Use an anonymous function, which is a function without a name, typically represented using the "lambda" keyword in programming languages like Python.
3. Define the function parameters as the coordinates of the two points: (x1, y1) and (x2, y2).
4. Implement the Euclidean distance equation inside the anonymous function.
Here's an example using Python:
```python
euclidean_distance = lambda x1, y1, x2, y2: ((x2 - x1)**2 + (y2 - y1)**2)**0.5
```
Now you can use this anonymous function to compute the Euclidean distance between any two points (x1, y1) and (x2, y2) by calling it with the appropriate arguments:
```python
distance = euclidean_distance(1, 2, 4, 6)
print(distance) # Output: 5.0
```
This example demonstrates how to write an anonymous function to compute the Euclidean distance given two points (x1, y1) and (x2, y2).
Know more about euclidean distance here:
https://brainly.com/question/28370661
#SPJ11
40÷1+3‐(3×7)+7-5 use pedams to answer the following question
Hey there!
40 / 1 + 3 ‐ (3 * 7) + 7 - 5
= 40 + 3 - (3 * 7) + 7 - 5
= 43 + 7 - 5 - 3 * 7
= 50 - 5 - 3 * 7
= 45 - 3 * 7
= 45 - 21
= 24
Answer: 24
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Which expression is equivalent to the given expression? 2x^2-11x-6
Answer:
X=-1/2,6
Step-by-step explanation:
Answer:
(2x+1) (x-6)
Step-by-step explanation:
I think this is right
For the following study, decide if the two samples are independent samples or paired (dependent) samples. A study compared the average number of courses taken by a random sample of 60 freshmen at a university with the average number of courses taken by a separate random sample of 55 freshmen at a community college. a) Independent Samples b) Paired Samples
In this study, we are comparing the average number of courses taken by two distinct groups: 60 freshmen at a university and 55 freshmen at a community college.
These two groups are separate from each other and do not have any specific connection or pairing. The individuals in each group are not matched or related to individuals in the other group, and the performance or choices of one group do not affect or depend on the other group.
Based on this information, we can conclude that the two samples in this study are independent samples. Independent samples refer to cases where the observations or data points in one sample have no effect on or relationship with the observations in the other sample.
This is in contrast to paired samples, where each data point in one sample has a specific corresponding data point in the other sample, and the two data points have a clear connection or dependency.
To learn more about average number click here
brainly.com/question/16956746
#SPJ11
someone please help me
I need help with this
if a is an uncountable set and zb is a countable set, must a-b be uncountable
Yes, if "a" is an uncountable set and "zb" is a countable set, then "a-b" must be uncountable.
To prove this statement, we first need to understand what it means for a set to be countable or uncountable. A set is countable if its elements can be put in one-to-one correspondence with the natural numbers (1, 2, 3, ...). On the other hand, a set is uncountable if it cannot be put in one-to-one correspondence with the natural numbers.
Now, suppose "a" is an uncountable set and "zb" is a countable set. Let "b" be the subset of "zb" that is contained in "a". Then, since "zb" is countable, "b" is also countable. Now, consider the set "a-b". This set consists of all the elements in "a" that are not in "b". Since "a" is uncountable and "b" is countable, it follows that "a-b" must be uncountable.
Therefore, we can conclude that if "a" is an uncountable set and "zb" is a countable set, then "a-b" must be uncountable.
To learn more about set here:
brainly.com/question/18877138#
#SPJ11
9. Graph the circle (x-3)² + (y+6)² = 16
find the area of the region that lies inside both curves. r = 3 cos(), r = sin() incorrect: your answer is incorrect.
The area of the region that lies inside both curves is 27/10 square units.
To find the area of the region that lies inside both curves, we need to set the equations equal to each other and find the points of intersection:
3 cos(theta) = sin(theta)
Dividing both sides by cos(theta) (since cos(theta) cannot be zero), we get:
3 = tan(theta)
Taking the arctangent of both sides, we get:
theta = arctan(3)
So the curves intersect at theta = arctan(3).
To find the area of the region, we integrate the equation for the smaller curve (r = sin(theta)) squared from 0 to arctan(3), and subtract the integral of the equation for the larger curve (r = 3cos(theta)) squared from 0 to arctan(3):
\(Area = ∫[0, arctan(3)] (sin(theta))^2 d(theta) - ∫[0, arctan(3)] (3cos(theta))^2 d(theta)\)
Simplifying and evaluating the integrals, we get:
Area = (9/4)sin(2arctan(3)) - 27/2
Using the trigonometric identity \(sin(2arctan(x)) = (2x)/(1+x^2),\) we get:
Area = (27/5) - 27/2
Area = 27/10
Therefore, the area of the region that lies inside both curves is 27/10 square units.
To know more about area refer to-
https://brainly.com/question/27683633
#SPJ11
Can u help solve this
Answer:
3 or 6/2
Step-by-step explanation:
4--2 (you add there is a subtraction of a negative) over or divided by 3-1
Answer:
\(slope = \frac{y2 - y1}{x2 - x1} \\ = \frac{4 - - 2}{3 - 1} \\ = \frac{6}{2} = 3 \\ thank \: you\)
what is 2/5 - 250.00
Answer:
-249.6
Step-by-step explanation:
Convert 2/5 to 0.4. Then subtract 0.4 and 250 to get -249.6
Hope this helped! :)
Cooper brought three 1-liter bottles of water to baseball practice. How many 100-milliliter servings of water did Cooper bring?
Cooper brought 30 servings of 100 Milliliters each to baseball practice.
The number of 100-milliliter servings of water Cooper brought, we need to convert the total volume of water from liters to milliliters and then divide it by the volume of each serving.
Cooper brought three 1-liter bottles of water, so the total volume of water is:
Total volume of water = 3 liters
Since 1 liter is equal to 1000 milliliters, we can convert the total volume of water to milliliters:
Total volume of water = 3 liters * 1000 milliliters/liter
Total volume of water = 3000 milliliters
Now, we can divide the total volume of water by the volume of each serving (100 milliliters) to find the number of 100-milliliter servings:
Number of 100-milliliter servings = Total volume of water / Volume of each serving
Number of 100-milliliter servings = 3000 milliliters / 100 milliliters
Number of 100-milliliter servings = 30 servings
Therefore, Cooper brought 30 servings of 100 milliliters each to baseball practice.
For more questions on Milliliters .
https://brainly.com/question/30760941
#SPJ8