Rami had 12 muffins left.
1. Emily baked a total of 98 muffins.
2. She divided the muffins equally among seven boxes, so each box initially had 98/7 = 14 muffins.
3. Emily gave one box to Rami.
4. Rami received a box with 14 muffins.
5. Rami ate two muffins from the box, leaving 14 - 2 = 12 muffins.
To find out how many muffins Rami had left, we start by dividing the total number of muffins Emily baked, which is 98, equally among seven boxes. Each box initially had 98/7 = 14 muffins.
One of these boxes was given to Rami, so he received a box with 14 muffins.
However, Rami then ate two muffins from the box. Subtracting the number of muffins he ate from the initial number in the box, we get 14 - 2 = 12 muffins left for Rami.
Therefore, Rami had 12 muffins left after eating two from the box given to him by Emily.
For more such questions on left, click on:
https://brainly.com/question/17226833
#SPJ8
Find the sum of polynomials (30 points!!)
Answer:
2nd option
Step-by-step explanation:
Express the sum of the 2 polynomials by removing the parenthesis , so
5\(x^{5}\) - 2x³ + x + 4\(x^{5}\) - 3\(x^{4}\) + 2x³ - 5x ← collect like terms
= 9\(x^{5}\) - 3\(x^{4}\) - 4x
The distance from a to B is 42 feet. The slope of the roof is 24 feet. What is the height of the attic
well... 42+24=66 so the height of the attic is 66 feet
Which phrase best describes the scatterplot below?
Answer:
Strong negative correlation
Step-by-step explanation:
n the scatter plot attached below, as the variable in the x-axis increases, the variable on the y-axis decreases. Thus, if a line of best fit is drawn, it would show a line that slopes downwards to our right. This shows a negative correlation between both variables in the scatter plot.
Also, we also see that the data points represented on the scatter plot are clustered more closely along the slope, showing strong negative correlation.
Therefore, the phrase that best describes the scatter plot is: strong negative correlation.
Find the length of the curve, L. y = 16.1 +5)*, 0 0 Need Help? Read It Master It Talk to a Tutor Submit Answer Practice Another Version
Given equation of curve is `y = 16.1 + 5)*`, 0 ≤ x ≤ 6a = 5 and equation of the curve is y = 16.1 + 5xFrom here we can see that it is a straight line with slope = 5 and y-intercept = 16.1Now, the length of the curve is given by L = ∫a^b √[1+(dy/dx)²]dxHere, a = 0 and b = 6Using the first derivative we get `dy/dx = 5
`Now, substituting the values, we get L = ∫₀⁶ √[1+(5)²]dx= ∫₀⁶ √[26]dx= √[26] ∫₀⁶ dx= √[26] × (6 - 0)= 6√[26]The length of the curve L is `6√26` units.
To know more about equation visit:
https://brainly.com/question/29538993
#SPJ11
Last year, the average monthly revenue at the Fairfax Times newspaper was $53,660. This year, the average monthly revenue so far has been $37,562. What is the percent of decrease in the average monthly revenue?
the percent decrease in the average monthly revenue is approximately 30.08%.
To find the percent decrease in the average monthly revenue, we can use the following formula:
percent decrease = (previous value - current value) / previous value * 100%
In this case, the previous value is $53,660 and the current value is $37,562. Substituting these values into the formula, we get:
percent decrease = (53660 - 37562) / 53660 * 100%
percent decrease = 30.08%
Therefore, the percent decrease in the average monthly revenue is approximately 30.08%.
To know more about Percent, visit: brainly.com/question/29306119
#SPJ4
Flagpole to the ground using a piece of rope that is 10 feet long. He is going to tie the rope to the top of the flagpole and then secure the other end of the rope to the ground. The flagpole is 8 feet high. How far out on the ground does he need to secure the rope from the flagpole so that the rope is tight?
Answer:
6 feetStep-by-step explanation
Using the pythagoras theorem;
Given
The length of the flag pole = 8 feet = opposite side
Length of the rope = 10 feet = hypotenuse
To determine how far out on the ground he need to secure the rope from the flagpole so that the rope is tight, we need to look for the adjacent. Using the equation
hyp² = opp² + adj²
10² = 8² + adj²
adj² = 100-64
adj² = 36
adj = √36
adj = 6feet
Hence the rope should be placed 6feet out of the ground
? what quantitative rule may be used to determine univariate outliers, and are there situations in which deleting a case/participant may be justified?
The Interquartile Range (IQR) rule is a commonly used quantitative rule to determine univariate outliers and deleting a case may be justified if it is a result of a measurement error, data entry error, or if it significantly skews the results.
The Interquartile Range (IQR) rule is a commonly used method for identifying outliers in a univariate data set. It is calculated as the difference between the 75th percentile (Q3) and the 25th percentile (Q1). Outliers are considered to be any values that fall outside of the range Q1 - 1.5 * IQR to Q3 + 1.5 * IQR. This range encompasses approximately 75% of the data, with outliers being any values that fall outside of this range.
In some cases, deleting a case or participant may be justified if it is a result of a measurement error, data entry error, or if it significantly skews the results.
This decision should be made carefully and only after careful consideration of the implications, as removing data can affect the validity of the results and the conclusions that can be drawn from the analysis. In some cases, it may be better to keep the outlier and consider it a potential error or to conduct further analysis to determine if there is a valid reason for the outlier.
To learn more about quantitative, visit:
https://brainly.com/question/14810759#
#SPJ11
Que numero o expresión es divisible entre : (3m + 4) y (6m + 8) para que cada una de 0?
Answer: I don't speak spanish
Step-by-step explanation:
1) Define a sequence S as sn= 3n+3*2* Find S Find S Find S Find S. 2) Determine the type of the sequences whether they are decreasing, increasing, non-decreasing, non-increasing? They can be more than one of the types. The sequence a= 2/1 131 The sequence 200, 130, 130, 90, 90, 43, 43, 20
1) The sequence S is: 9, 12, 15, 18.
2) The types of sequences are:
a) Sequence a is increasing.
b) Sequence 200, 130, 130, 90, 90, 43, 43, 20 is non-decreasing.
1) The sequence S is defined as sn = 3n + 3 * 2. To find the values of S, we can substitute different values of n into the equation:
S1 = 3(1) + 3 * 2 = 3 + 6 = 9
S2 = 3(2) + 3 * 2 = 6 + 6 = 12
S3 = 3(3) + 3 * 2 = 9 + 6 = 15
S4 = 3(4) + 3 * 2 = 12 + 6 = 18
So, the sequence S is: 9, 12, 15, 18.
2) Let's determine the type of the sequences:
a) Sequence a = 2/1, 131.
- This sequence is increasing since the terms are getting larger.
b) Sequence 200, 130, 130, 90, 90, 43, 43, 20.
- This sequence is non-decreasing since the terms are either increasing or staying the same (repeated).
To summarize:
a) Sequence a is increasing.
b) Sequence 200, 130, 130, 90, 90, 43, 43, 20 is non-decreasing.
To know more about sequence, refer here:
https://brainly.com/question/30262438
#SPJ4
At a basketball game, a team made 54 successful shots. They were a combination of 1- and 2-point shots. The team scored 90 points in all. Write and solve a system of equations to find the number of each type of shot.
The number of one point shots are 36 and the number of two point shots are 18.
Given that,
At a basketball game, a team made 54 successful shots.
They were a combination of 1- and 2-point shots.
Let x represents the number of one point shot and y represents the number of two point shots.
Then,
x + y = 54
Also, the team scored 90 points in all.
x + 2y = 90
So the system of equations are,
x + y = 54
x + 2y = 90
Subtracting first equation from second,
y = 90 - 54 = 36
So, x = 54 - 36 = 18
Hence there are 36 1 point shots and 18 2 point shots.
Learn more about System of Equations here :
https://brainly.com/question/21620502
#SPJ1
What is the GCF of 48 24?
Answer:
24Step-by-step explanation:
There are 8 common factors of 24 and 48, that are 1, 2, 3, 4, 6, 8, 12, and 24. Therefore, the greatest common factor of 24 and 48 is 24.
What is the range of the function g(x) = |x – 12| – 2?
{y | y > –2}
{y | y > –2}
{y | y > 12}
{y | y > 12}
The range of the function g(x) = |x - 12| - 2 is {y | y > -2}, indicating that the function can take any value greater than -2.
To find the range of the function g(x) = |x - 12| - 2, we need to determine the set of all possible values that the function can take.
The absolute value function |x - 12| represents the distance between x and 12 on the number line. Since the absolute value always results in a non-negative value, the expression |x - 12| will always be greater than or equal to 0.
By subtracting 2 from |x - 12|, we shift the entire range downward by 2 units. This means that the minimum value of g(x) will be -2.
Therefore, the range of g(x) can be written as {y | y > -2}, which means that the function can take any value greater than -2. In other words, the range includes all real numbers greater than -2.
Visually, if we were to plot the graph of g(x), it would be a V-shaped graph with the vertex at (12, -2) and the arms extending upward infinitely. The function will never be less than -2 since we are subtracting 2 from the absolute value.
for similar questions on range of the function.
https://brainly.com/question/29017978
#SPJ8
A pair of sneakers is on sale for 20% off. The original price is $100. What is the price of the sneakers with the discount?
Answer:
it will be $80.00 and your saving $20.00
Step-by-step explanation:
The spinner of the compass is two congruent isosceles triangles connected by their bases as shown in the diagram. The base of each of these triangles is 2 centimeters and the legs are 5 centimeters.2 congruent isosceles triangles are connected by their bases. A circle is drawn around the triangles.If the metal used to construct the spinner costs $13.25 per square centimeter, how much will it cost to make this part of the compass? Round to the nearest cent.Cost = $
Answer:
The answer is $129.82
you're welcome :)
Step-by-step explanation:
please help quick, i dont understand this and its tue in 30 minutes
Answer:
1st question: x = 17
2nd question: ∠A = 66°
Step-by-step explanation:
1st question-
all angles of a triangle adds up to 180. so,
(6x + 10) + (x + 17) + (4x - 34) = 180
6x + x + 4x + 10 + 17 - 34 = 180
11x -7 = 180
11x = 187
x = 187/11
x = 17
2nd question-
in an isosceles triangle, 2 of its angle are the same
here, ∠C & ∠B are equal
so,
180 - (57+57)
= 66°
The soccer players in the 12th grade class had a scrimmage. They spent $150 on
fixing the practice fields. The equation show can be used to find the total profit, y, if
the students sold x tickets to the game.
y = 3x - 150
What does the 3 represent?
the price per ticket
the cost of the concession stand
the profit made for selling x tickets
the number of tickets sold
Answer:
The price per ticket
Step-by-step explanation:
It can't be the cost of the concession stand because it would've been negative since it's costing them to get the stand.
Can't be the profit made because its the y.
Can't be the number to tickets sold since that's the 3x.
This might not make sense
let p be prime. find all x ∈ zpsuch that x2 ≡ 1 (mod p). show your work. what is special about p = 2?
To find all x ∈ zp such that x^2 ≡ 1 (mod p), we can use the fact that (−1)^2 ≡ 1 (mod p) and (1)^2 ≡ 1 (mod p). Therefore, x ≡ 1 (mod p) and x ≡ −1 (mod p) are the only solutions.
If p = 2, then zp = {0, 1} and we can check that 1^2 ≡ 1 (mod 2) and (−1)^2 ≡ 1 (mod 2), which means that the same solutions as above apply. However, in this case, −1 ≡ 1 (mod 2), so the two solutions collapse into a single solution x ≡ 1 (mod 2). This is the special property of p = 2.
Given that p is prime, we want to find all x ∈ Zp such that x^2 ≡ 1 (mod p).
By definition, x^2 ≡ 1 (mod p) if and only if p divides (x^2 - 1). Now, we can rewrite x^2 - 1 as (x - 1)(x + 1). Since p is prime, it must either divide (x - 1) or (x + 1).
Case 1: p divides (x - 1)
In this case, x ≡ 1 (mod p).
Case 2: p divides (x + 1)
In this case, x ≡ -1 (mod p).
So, the possible values for x are 1 and -1 (mod p). For any prime p, these are the only two solutions.
For the special case when p = 2, we have x^2 ≡ 1 (mod 2). The solutions are x ≡ 1 (mod 2) and x ≡ -1 (mod 2). Since -1 is congruent to 1 (mod 2), there is only one unique solution for x in this case, which is x ≡ 1 (mod 2).
Learn more about congruence here: brainly.com/question/7888063
#SPJ11
f(x) = x^2
g(x) = (x+3)^2 + 5
We can think of g as a translated (shifted) version of f.
Complete the description of the transformation.
Use nonnegative numbers.
right/left
by
units and to the
by
To get the function g, shift f
up/down blank units.
Answer:
To obtain the g function, move f upward by 5 units and to the left by 3 units.
Step-by-step explanation:
from khanacademy
If any person is good at algebra could you have a look at this question. There is attached picture.
Answer:
hey..
their is no picture attached
I would like to help u if u would post another question with attached pic
A recent study reported that 1. 5 percent of flights are canceled by major air carriers. Consider a simulation with 50 trials designed to estimate the number of canceled flights from a random sample of size 100, where the probability of success, a canceled flight, is 0. 15
In a simulation with 50 trials and a random sample of 100 flights, the estimated number of canceled flights would be approximately 15, based on a 1.5% cancellation rate by major air carriers.
The simulation is conducted to estimate the number of canceled flights from a random sample of 100 flights, with a probability of success (canceled flight) set at 0.15 (15%). In each trial of the simulation, the sample of 100 flights is randomly generated, and the number of canceled flights is determined based on the probability. With 50 trials, the simulation provides multiple estimates, and the average or expected value of these estimates can be considered as the main answer. Since the cancellation rate is 1.5%, we can expect approximately 1.5 canceled flights in a sample of 100 flights. Therefore, the estimated number of canceled flights from the simulation would be around 15.
learn more about estimate here:
https://brainly.com/question/30870295
#SPJ11
HELP PLEASE ILL GIVE U 50 POINTS
Answer:
^{3} + 3x
Step-by-step explanation:
^{3} means x cubed.
Answer:
10x + 2.
Step-by-step explanation:
Perimeter = 2*2x + 2 *(3x + 1)
= 4x + 6x + 2
= 10x + 2.
Find the slope of the line
Answer:
3/2
Step-by-step explanation:
Using two points we can find the slope of a line
(0,1) and (2,4)
The slope is given by
m= (y2-y1)/( x2-x1)
= (4-1)/(2-0)
= 3/2
Kid Know what to put here
Answer:
ok i dont knkw what is that lol
George used the diagram below to help determine 30% of 60. Which expression could George have used?
30% of 60
10%
10%
10%
10%
10%
10%
10%
10%
10%
10%
0.10
0.10
0.10
0.10
0.10
0.10
0.10
0.10
0.10
0.10
6
6
6
6
6
6
6
6
6
6
(0.10)(6)
(0.10)(60)
(3)(6)
(3)(60)
Answer:
Answer:
Step-by-step explanation:
Given expression,
30% of 60,
We know that,
Convert percentage to fraction :
Thus,
So, 30% of 60 =
Which is the required expression.
Step-by-step explanation:
Answer:
30÷100 ×60
18 , ;; , ,,,,,,,,,
Compute the value: 5+ 6+ 7+ 8+9+...+200 52. (4) Consider the sequence (bi) defined as follows: b₁-4, and b=3b4-1 for k>1. Find the term bio.
The calculated value of the tenth term, b₁₀ of the sequence is 78732
How to calculate the tenth term, b₁₀ of the sequenceFrom the question, we have the following parameters that can be used in our computation:
b₁ = -4
bₙ = 3bₙ₋₁
The above means that
We multiply the current term by 4 to get the next term
So, we have
b₂ = 3 * 4 = 12
b₃ = 3 * 12 = 36
b₄ = 3 * 36 = 108
b₅ = 3 * 108 = 324
b₆ = 3 * 324 = 972
b₇ = 3 * 972 = 2916
b₈ = 3 * 2916 = 8748
b₉ = 3 * 8748 = 26244
b₁₀ = 3 * 26244 = 78732
Hence, the tenth term, b₁₀ of the sequence is 78732
Read more about sequence at
https://brainly.com/question/30499691
#SPJ1
Is rotating a congruence transformation?
Yes , rotating is a congruence transformation.
What is a congruence transformation?
A transformation that changes the position of the figure while not dynamical its size or form is termed a congruity transformation.
Main body:
A congruity transformation is that the movement or locating of a form specified it produces a form that is congruent to the initial.
Translations, reflections, and rotations are the three types of congruence transformations. That is, the pre-image and the image are always congruent.
Hence ,rotating is a congruence transformation.
To know more about congruence , visit:
https://brainly.com/question/1675117
#SPJ4
A salesperson at a jewelry store earns 6% commission each week. Last week, jarrod sold $680 worth of jewelry. How much did make in commission? How much did the jewelry store make from sales?
Answer:
1/ $ 4.08
2/ $675.92
Step-by-step explanation:
Take 68 times 0.06% = $4.08
680 - 4.08= 675.92
Answer:
Step-by-step explanation:
40.80 it told me the answer
The velocity function of a particle moving along line is v(t)=t2−7·t+10 , where t is in seconds and v is in m/sec. Find the displacement and the distance traveled by the particle during the time interval [−1,7].
Displacement = ___ in (m, m/sec, sec)
Distance traveled = ___ in (m, m/sec, sec)
To find the displacement, we need to find the net change in position of the particle during the time interval [−1,7].
The displacement can be found by integrating the velocity function over the time interval [−1,7]:
∫-1^7 (t^2 - 7t + 10) dt = [(1/3)t^3 - (7/2)t^2 + 10t]_(-1)^7
= [(1/3)(343) - (7/2)(49) + 70] - [(1/3)(-1) - (7/2)(1) - 10]
= 196/3
Therefore, the displacement of the particle during the time interval [−1,7] is 196/3 meters.
To find the distance traveled by the particle during the time interval [−1,7], we need to find the total length of the path traveled by the particle.
We can do this by finding the total distance traveled by the particle in each of the two time intervals [−1,2] and [2,7], and then adding them together.
For the time interval [−1,2], the distance traveled can be found by integrating the absolute value of the velocity function:
∫-1^2 |t^2 - 7t + 10| dt
= ∫-1^2 (t-2)(t-5) dt
= (25/6)
For the time interval [2,7], the distance traveled can be found in the same way:
∫2^7 |t^2 - 7t + 10| dt
= ∫2^7 (t-2)(t-5) dt
= (59/6)
Therefore, the total distance traveled by the particle during the time interval [−1,7] is:
(25/6) + (59/6) = 84/6 = 14 meters.
Hence, the distance traveled by the particle during the time interval [−1,7] is 14 meters.
Know more about displacement here:
https://brainly.com/question/29307794
#SPJ11
Charles charges $4 an hour to baby-sit. He also adds an extra $10 onto the total for families with more than three children. How much will Charles charge to baby-sit 4 children for 4 hours?
A. $48
B. $26
C. $56
D. $160
The total amount Charles will charge to baby-sit 4 children for 4 hours is; $26
Since, Charles charges $4 an hour to baby-sit.
Therefore, when Charles is asked to baby-sit for four hours;
His normal charge would be; $4 × 4 = $16.
However, he adds an extra $10 onto the total for families with more than three children;
The total charge is therefore; $16 + $10 = $26.
Read more on cost charge;
https://brainly.com/question/24698157
Answer:
The total amount Charles will charge to baby-sit 4 children for 4 hours is; $26Since, Charles charges $4 an hour to baby-sit.
Step-by-step explanation:
(2, -1) is a solution to which of the following systems of equations?
Answer:
D) 3x + y = 5 and 2x -3y = 7
Step-by-step explanation:
You can plug in the x and y values into the equations, and see if they work. In this case, 3x + y = 5 and 2x -3y = 7 both satisfy (2, -1).
Answer:
the answer it D
Step-by-step explanation:
3(2)-1=5
and 2(2)+3=7