The total number of cookies baked during the week if a bakery baked 1,244 trays of 26 chocolate chip cookies and also 694 trays of 19 sugar cookies are 336530.
To calculate the total number of cookies we have to find the number of chocolate chip and sugar cookies.
The total number of chocolate cookies is given by the product of the number of cookies in a tray and the number of trays.
Trays of chocolate chip cookies = 1244
Number of chocolate chip cookies per tray = 26
Total number of chocolate chip cookies = 1244 * 26
= 32344
Similarly, the total number of sugar cookies is given by the product of the number of cookies in a tray and the number of trays.
Trays of sugar cookies = 694
Number of sugar cookies per tray = 19
Total number of chocolate chip cookies = 694 * 19
= 13186
Total number of cookies = total number of chocolate chip cookies + sugar cookies
= 32344 + 13186
=336530
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Which of the following is an infinite two-dimensional figure?A. A lineB. A planeC. A segmentD. A point
An infinite two-dimensional figure is represented by option B, a plane.
What are two-dimensional figures?
Two-dimensional figures are shapes with two dimensions: length and width.
They are commonly called flat shapes. When they are drawn on paper, they are two-dimensional shapes.
A two-dimensional figure is classified as a polygon if it has a closed shape with straight lines.
They may have any number of sides, such as a triangle, square, pentagon, or hexagon.
However, a plane is a flat surface that extends in all directions infinitely without ending. It is also called an infinite two-dimensional figure.A line is the shortest distance between two points, so it is not an infinite two-dimensional figure.
On the other hand, a segment is a line that has a beginning and an end, making it a finite one-dimensional figure.
A point is a location that has no size or shape, making it a zero-dimensional figure.
As a result, the only option that represents an infinite two-dimensional figure is a plane.
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Going to the prom Tonya wants to estimate what proportion of the seniors in her school plan to attend the prom. She interviews an SRS of 50 of the 750 seniors in her school and finds that 36 plan to go to the prom
The sample proportion is ^p = 75%
The population is the 750 seniors in Tonya's school.
The parameter of interest is the proportion of seniors in the school who plan to attend the prom. This is represented by p, the true proportion of seniors in the population who plan to attend the prom. The estimate of p is calculated using the sample data as 36/50 = 0.72.
In statistical analysis, a population is a set of individuals or objects that have some common characteristic of interest. In this case, the population is the 750 seniors in Tonya's school. The population represents the group of individuals about which Tonya wants to make inferences or draw conclusions.
A parameter is a numerical characteristic of a population that is of interest in statistical analysis. In this case, the parameter of interest is the proportion of seniors in the school who plan to attend the prom. This is represented by the letter p, which represents the true proportion of seniors in the population who plan to attend the prom.
Since it is not feasible to survey all 750 seniors, Tonya selects a random sample of 50 seniors from the population. She then calculates the proportion of seniors in the sample who plan to attend the prom, which is 36/50 = 0.72. This estimate, 0.72, is used to represent an estimate of the true proportion of seniors in the population who plan to attend the prom, or p.
--The question is incomplete, answering to the question below--
"Going to the prom Tonya wants to estimate what proportion of her school’s seniors plan to attend the prom. She interviews an SRS of 50 of the 750 seniors in her school and finds that 36 plan to go to the prom. Identify the population and parameter of interest. "
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Write an equation to represent the situation: The bank, b, is 50 feet shorter than the fire house, f. PLEASEE I WILL GIVE BRAINLESTTTT I NEED THIS TODAYY
Answer:
F-50=B
also chill
P/6=2 is for the next problem
You are deciding between two landscaping companies to work on your backyard renovation. Company A charges a $50 fee to come out to your house plus $10 an hour to work. Company B charges $15 per hour and $30 to show up. How many hours will it take for both companies to equal the same price, and how much money will it cost at that time?
It will take 4 hours for both companies to equal the same price and it will cost $ 90 at that time.
There are two companies:
Company A-
It charges $ 50 to come and $ 10 per hour to work.
Let the number of hours worked be x
The equation will be:
Price of Company A = 50 + 10 x …(1)
Company B-
It charges $ 30 to come and $ 15 per hour to work.
The equation will be:
Price of Company B = 30 + 15 x …(2)
Now, for the same prices, we will equate (1) with (2):
50 + 10 x = 30 + 15 x
15 x - 10 x = 50 - 30
5 x = 20
x = 20 / 5
x = 4
At x = 4, price of the companies will be:
A = 50 + 10 (4) = 50 + 40
A = $ 90
B = 30 + 15(4)
B = 30 + 60
B = $ 90.
Therefore, it will take 4 hours for both companies to equal the same price and it will cost $ 90 at that time.
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Simplify: (x + 7)(x-4)
A. 2r +3
B. 12-28
C. x2-3x - 28
D. x2 + 3x - 28
Answer:
(x + 7)(x - 4) = x2 - 4x + 7x - 28 = x2 + 3x - 28
What is the coordinate of the image A(8, -1) after the following translation? ⟨-6,1⟩
find the center of mass of the portion of the disk in the first quadrant, x 2 y 2 = 49 x2 y2=49 where the mass is given by rho ( x , y ) = 5 y √ x 2 y 2 rho(x,y)=5yx2 y2 .
The area is 4π square units.
What is an area ?
Area is defined as the total space taken up by a flat (2-D) surface or shape of an object. The space enclosed by the boundary of a plane figure is called its area. The area of a figure is the number of unit squares that cover the surface of a closed figure. Area is measured in square units like cm² and m².
Given, the curve is x2 + y2 = 32 --- (1)
Given, the line is y = x --- (2)
We have to find the area of the region in the first quadrant enclosed by the x-axis, the line and the circle.
The standard form of equation of the circle is given by
x2 + y2 = r2 --- (3)
Comparing (1) and (3)
Radius of circle, r = √32 = 4√2
From (1) and (2),
x2 + x2 = 32
2x2 = 32
x2 = 32/2
x2 = 16
x = ±4
When x = 4,
(4)2 + y2 =32
16 + y2 = 32
y2 = 32 - 16
y2 = 16
y = ±4
The points of intersection are (4, 4) and (-4, -4).
From the equation of the curve, y2 = 32 - x2
y = √(32 - x2)
Required area =
∫40xdx + ∫4√24√32−x2dx ∫40xdx = [x22]40 = [422−0] = 162=8∫4√24√32−x2dx=[xd32−x22+322sin−1(x4√2)]
4√24=[4√2√32-(4√2)22+322
sin−1(4√24\(\sqrt\\\)2)]−[4√32=(4)22+322
sin−1(44√2)]=[0+16sin−1(1)]−[8+16sin1(1√2)]
=16×π2−8+16×π4]=[8π−8−4π]=[4π−8]
Required area = ∫40xdx+∫4√24√32−x2dx
= 8+4π -8=4π
Therefore, the area is 4π square units.
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what is the distance between the points -3,-8 and 6,-8
The distance between the points -3,-8, and 6,-8 is 3 units.
What is the distance between two points?The length of the line segment bridging two points on a plane is known as the distance between the points.
Look at the provided points.
Calculate the distance between the points using the given formula.
Given points are -3,-8 and 6,-8
Given two points lies the parallel to X-axis
The distance between the two points is
A (-3,-8) and B(6,-8) = X₂ - X₁
6 - 3 = 3 units.
Therefore, the distance between two points -3,-8 and 6,-8 is 3 units.
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Find the value of x. The diagram is not to scale.
Answer:
C
Step-by-step explanation:
2x + 3 = 5
____ ____
x 2
(cross multiply)
2(2x+3) =5x
4x + 6 = 5 x
6 = 5x - 4x
6 = x
b) Obtain reduced cost matrix for travelling sales person problem. Consider the instance define by the cost matrix: [8M] 00 5 1 10 6 4 12 7 1 Pa 8 a 3 7 6 1 8نرا 4 16 9 3 8 a 16 12 7 6 00 *****
The reduced cost matrix for travelling salesperson problem in the given instance is shown below. The Travelling Salesperson Problem (TSP) is a classical combinatorial optimization issue that belongs to the category of NP-Hard problems.
This problem can be resolved using a branch and bound algorithm or by using dynamic programming.The reduced cost matrix for the given travelling salesperson problem instance The computation of the reduced cost matrix for travelling salesperson problem involves two steps: Identify the smallest element of each row and subtract the value from all the values in the row.
Identify the smallest element of each column and subtract the value from all the values in the column.In the given instance, the smallest element of each row is highlighted in bold. Therefore, after performing Step 1 the matrix becomes the matrix becomes Hence, the reduced cost matrix for the travelling salesperson problem is obtained.
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PLS HELP MEEEEEEEEEEEEEEEEEEE 100 points if you help me
Explain why this comparison is either reasonable or not reasonable
0.7 = 0.07
WHAT DO I PUT INNNNN
and 3 is 7.52 > 7.5
0.7 is greater than 0.07, as the decimal place value indicates. 7.52 is greater than 3 based on the decimal value comparison.
The comparison between 0.7 and 0.07 is reasonable. It is evident that 0.7 is greater than 0.07. The decimal point indicates the place value, and in this case, the difference in the tenths place (0.7) and hundredths place (0.07) clearly shows that 0.7 is a larger value.
On the other hand, the comparison between 3 and 7.52 is not reasonable. It is incorrect to claim that 3 is greater than 7.52. In the decimal system, the whole numbers are on the left side of the decimal point and the decimal fractions are on the right side. When comparing numbers, we start with the whole number part and move to the right, comparing each decimal place one by one. In this case, the digit 7 in 7.52 is greater than 3, and the decimal places further reinforce that 7.52 is a larger value than 3.
In summary, the comparison between 0.7 and 0.07 is reasonable as it aligns with the principles of decimal place value. However, the comparison between 3 and 7.52 is not reasonable, as 7.52 is greater than 3.
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Plz answer these two and I will give you brainliest
Answer:
1. -9. 2.i cant see what all the options are but the slope is y= 1/2x -3
Step-by-step explanation:
Hope this helps :)
which of the following has the least steep graph?
A.) y = 1/2x + 3
B.) y = x + 24
C.) y = 3x - 16
D.) y = 2x + 7/15
Answer:
A) y=1/2x+3
Step-by-step explanation:
pleaseee help me answer this!!! it is my last question help!!!
Yo Im stupid plz help pic above
Answer:
It should be the first one sorry if I’m wrong.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
ez quiz
what is y if x is 12 for this slope intercept form equation y=-1/3x-2
Answer:
-6
Step-by-step explanation:
y=-1/3(12)-2
=(-1/3x12/1)-2
=-4-2
y=-6
Find the (perpendicular) distance from the line given by the parametric equations - 3- 7 X(t) g(t) z(t) 2+ 5t -5 + 8t to the point ( - 1,7,9). Submit Question Find the point at which the line r(t) = (8, – 5, – 4) + t6, – 3, – 8) intersects the yz plane. Х Question Help: D Video Submit Question
The perpendicular distance from the line -3-7X(t), g(t), z(t)2+5t-5+8t to the point (-1,7,9) is approximately 6.34 units. The line intersects the yz-plane at the point (0, -1, -16/3) when t = -4/3.
To find the distance from the line to the point, we can use the formula for the distance between a point and a line in 3D space
d = |(P - P₀) x (V)| / |V|
where P is the given point, P₀ is a point on the line, V is the direction vector of the line, x represents the cross product, and | | denotes the magnitude of a vector.
First, we need to find a point P₀ on the line. We can do this by setting t = 0 in the parametric equations of the line
P₀ = (-3, -5, 2)
Next, we need to find the direction vector V of the line. We can do this by subtracting the initial point from a second point on the line. We can use t = 1 for convenience
V = (2 + 5(1) - (-3), 8 - (-5), 7 - 2(1)) = (10, 13, 5)
Now, we can substitute the given values into the formula for the distance and simplify
d = |(-1, 7, 9) - (-3, -5, 2) x (10, 13, 5)| / |(10, 13, 5)|
= |(2, 12, 7) x (10, 13, 5)| / sqrt(10^2 + 13^2 + 5^2)
= |(-31, 60, -146)| / sqrt(354)
= 6.34 (rounded to two decimal places)
Therefore, the perpendicular distance from the line to the point (-1, 7, 9) is approximately 6.34 units.
To find the point at which the line r(t) = (8, – 5, – 4) + t(6, – 3, – 8) intersects the yz-plane, we need to find the value of t that makes the x-coordinate of the point equal to zero (since the yz-plane has equation x = 0).
Setting the x-coordinate of r(t) equal to zero, we get
8 + 6t = 0
Solving for t, we get
t = -4/3
Substituting this value of t back into the equation for r(t), we get
r(-4/3) = (8, -5, -4) + (-4/3)(6, -3, -8)
= (8 - 8, -5 + 4, -4 - (32/3))
= (0, -1, -16/3)
Therefore, the point at which the line r(t) intersects the yz-plane is (0, -1, -16/3).
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Find the value of X
What is the area
4.6 ft
8.4 ft
Answer: 38.64
Step-by-step explanation:
Area is where you multiply length times width to get the amount of square units in a 2-D region. You multiply 4.6 feet, times 8.4 feet, and get 38.64 feet. Try it yourself!
Hoped this helped!
-Kala
I really need some help. Serious and correct answers please I appreciate it.
Answer:
A. You need to draw a straight line that increases from left to right. Try and get the same amount of plots on the top and bottom of the line and go through one or two of the plots. Don't connect the dots, though.
B. This scatter plot demonstrates a positive association between a person's height and weight because the trendline increases from left to right. According to this data, as weight increases, so does height. The more someone weighs, the more likely they are to be tall.
Chari deposits $5,000 in a savings account earning 5.75% simple interest per year. Part B How much money will be in Chari's account after 10 years?
Answer:
$7,875
Step-by-step explanation:
5.75% of 5000 = 287.5
287.5 x 10 = 2875
5000 + 2875 = 7875
10. A garden is to be surrounded by a paved
border of uniform width.
16 m
|-X-
L=16+X+x
L= 2x+16
W=14+x+x
W= 2x+14
14 m
a) Write a simplified expression for the
area of the border.
b) The border is to have an area of
216 m². Find the width of the border.
what's the answer of 3x + 5=17
Answer:
x=4
Step-by-step explanation:
Which of the following shows 5x + 17 + 8x – 9 + 2y in simplest terms?
Answer:
5x+8x+17-9+2y
13x+8+2y
Answer:
13x+8+2y
Step-by-step explanation:
5x+8x=13x
17–9=8
2y=2y
Giselle wants to buy the newest book in her favorite series. She has some money saved but does not want to use all her savings on the book. Giselle's grandma offers to pay some of the cost of the book for every weed she pulls in her grandma's garden. The graph shows the cost to Giselle for the purchase of the book after pulling x weeds in her grandma's garden.
1. The book is $18.
2. Giselle can earn up to $18 pulling weeds for her grandma.
3. Giselle's grandma pays her $1 for every 5 weeds she pulls.
4. Giselle does not have to use any of her own money toward the purchase of the book when she pulls 90 weeds.
5. Giselle only needs to pull 18 weeds to not use any of her own money.
The correct statements regarding the linear function graphed are given as follows:
The book is $18.Giselle's grandma pays her $1 for every 5 weeds.Giselle does not have to use any of her money when she pulls 90 weeds.What are the correct statements?The correct statements are identified from the graph of the function.
The y-intercept of the function is of 18, which represents how much she has to pay when she does not pull any week, that is, the price of the book.
The x-intercept of the function is of 90, meaning that if she pulls 90 weeks, she earns $18 from her grandmother, which is the entire price of the book.
From the intercept, we get that when the input increases from 90, from 0 to 90, the output decays by 18, from 18 to 0, hence the slope of the function is given as follows:
m = -18/90 = -0.2.
Meaning that for each weed pulled, the amount her grandma pays is of $0.2, and thus for five weeds she is paid one dollar.
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what are the x intercepts of the graph of the function below y=x^2-2x-15
Answer:
(5, 0) and (-3, 0)
Step-by-step explanation:
To find the x-intercepts, let's set y = 0.
0 = x² - 2x - 15
0 = (x - 5)(x + 3) -- To factor x² - 2x - 15, we need to find 2 numbers with a sum of -2 and product of -15; these numbers are -5 and 3.
x - 5 = 0 or x + 3 = 0 -- Use ZPP (Zero Product Property)
x = 5, x = -3
Answer:
x = -3 and x = 5.
Step-by-step explanation:
y = x^2 - 2x - 15
y = (x - 5)(x + 3)
The x-intercepts occur when y = 0. In this case, it's when either (x - 5) = 0, or (x + 3) = 0.
x - 5 = 0
x = 5
x + 3 = 0
x = -3
Hope this helps!
What percentage of the data values represented on a box plot falls between the lower quartile and the upper quartile?.
So, the percentage of data values represented on a box plot that falls between the lower quartile and the upper quartile is 50%.
In a box plot, the lower quartile (Q1) represents the 25th percentile, and the upper quartile (Q3) represents the 75th percentile. The interquartile range (IQR) is the range between the lower quartile and the upper quartile. To determine the percentage of data values that fall between the lower quartile and the upper quartile, we need to consider the IQR.
The IQR represents the middle 50% of the data. Therefore, the percentage of data values between the lower quartile and the upper quartile is 50%. In other words, half of the data values are within the IQR range, while the remaining 50% are outside this range, including the lower 25% below the lower quartile and the upper 25% above the upper quartile.
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Which expression represents the prime factorization of 243?
A ) 3×3×3×3×2
B ) 3×3×3×3×3
C ) 3×3×3×3×2×2
D ) 3×3×3×3×3×3
Answer: B) 3 × 3 × 3 × 3 × 3
Concept:
In factorization, the easiest way is to divide the term multiple times by the least factor each time until the answer is not divisible. Then, multiply all the factors and the remainder together to get the factorization of a term.
Solve:
243 ÷ 3 = 81
81 ÷ 3 = 27
27 ÷ 3 = 9
9 ÷ 3 = 3
3 ÷ 3 = 1
Therefore, the prime factorization of 243 = 3 × 3 × 3 × 3 × 3
Hope this helps!! :)
Please let me know if you have any questions
Answer:
B
Step-by-step explanation:
how could it not be??
What is the circumference of the circle shown below, given that the length of
AB (the minor arc) is 4?
C
30,
A
A. 48
B. 40
C. 24
d
D. 12
someone pls help no links
Given:
Length of arc AB is 4 units.
The measure of central angle corresponding to arc AB is 30 degrees.
To find:
The circumference of the circle.
Solution:
The formula for arc length is:
\(s=2\pi r\dfrac{\theta }{360^\circ}\)
Where, r is the radius and \(\theta\) is the central angle.
It is also written as:
\(s=C\dfrac{\theta }{360^\circ}\)
Where, C is the circumference of the circle.
Putting \(s=4,\theta =30^\circ\) in the above formula, we get
\(4=C\dfrac{30^\circ}{360^\circ}\)
\(4=\dfrac{1}{12}C\)
Multiply both sides by 12.
\(4\times 12=C\)
\(48=C\)
The circumference of the circle is 48 units.
Therefore, the correct option is A.
Factor the following polynomial completely using the greatest common factor. If the
expression cannot be factored, enter the expression as is.
11y+33
The expression when rewritten is 11(y + 3)
How to factor the expression?The expression is given as:
11y + 33
Rewrite the expressions as a product of their common factor
11y + 33 =11 * y + 11 * 3
Factor out the common factor
11y + 33 = 11(y + 3)
Hence, the expression when rewritten is 11(y + 3)
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