The tοtal surface area οf the gift bοx is 232 square inches.
What is rectangle?A rectangle is a 2D shape that has fοur sides and fοur right angles. Oppοsite sides are parallel and οf equal length. The area οf a rectangle is the prοduct οf its length and width, and its perimeter is the sum οf the lengths οf all its sides.
SA = 2lw + 2lh + 2wh
where l, w, and h are the length, width, and height οf the rectangular prism, respectively.
Substituting the given values, we get:
SA = 2(8x4) + 2(8x7) + 2(4x7)
SA = 64 + 112 + 56
SA = 232
Therefοre, the tοtal surface area οf the gift bοx is 232 square inches.
Learn more about rectangle
https://brainly.com/question/25292087
#SPJ1
simplify 4divide root 5 plus 5 minus 3 divide root 5 minus root 2
Answer:[tex]\frac{25+\sqrt{5} -5\sqrt{2} }{5}[/tex]
Step-by-step explanation:
1. In each case, find the standard Cartesian, parametric, and the normal forms for each line in R 2
. One form might be easier to compute directly from the data than the other forms. (a) Slope m= 5
2
passing through the point (3,1). L(x 0
,v)= H 2
(x 0
,n)= (b) x and y intercepts are (2,0) and (0,3).
The Cartesian, parametric, and normal forms for the given line in R2 are y = 5x - 15, x = 2 + t and y = 3 + 5t, and 4x – 5y + 15 = 0, respectively.
Cartesian form: The Cartesian form for this line is y = 5x - 15. This can be calculated by taking the given slope (m = 5) and the given point (3,1), and using the equation y-y1 = m(x-x1) to solve for the y-intercept.
Parametric form: The parametric form for this line is x = 2 + t and y = 3 + 5t. This can be calculated by taking the given x and y intercepts (2,0) and (0,3), and using the equations x = x1 + t and y = y1 + m*t to solve for t.
Normal form: The normal form for this line is 4x – 5y + 15 = 0. This can be calculated by taking the given slope (m = 5) and the given point (3,1), and using the equation Ax + By + C = 0 to solve for A, B, and C.
Learn more about line here:
https://brainly.com/question/17731558
#SPJ1
Ben owns an ice cream shop. Last quarter's income was $9,000; his cost of goods was $575, and his total expenses were $5,000.
What is Ben's Net Income for the last quarter?
Type a comma to separate the digits and type the $ symbol when you enter your answer as shown below:
Example: $15,300
Answer:
$3,425
Step-by-step explanation:
Net income is the income made after all expenses and cost of goods are deducted.
Last quarter income $9000
All expenses are goods ($575) + total expenses ($5000) = $5575
Net income = $9000 - $5575
Net income = $3,425
Hi, please help! I have attached the measurements! This us the question!
The cuboid-shaped container below is partly filled with water. What percentage of the container is filled with water? Give your answer to 1 d.p.
The percentage of the cuboid filled with water is given as follows:
53.85%.
How to obtain the volume of the rectangular prism?The volume of a rectangular prism, with dimensions length, width and height, is given by the multiplication of these dimensions, according to the equation presented as follows:
Volume = length x width x height.
The dimensions of the cuboid are given as follows:
Length of 19 cm.Width of 6 cm.Height of 13 cm.The filled dimensions of the cuboid are given as follows:
Length of 19 cm.Width of 6 cm.Height of 7 cm.As only the height is different, the percentage filled is obtained as follows:
7/13 = 53.85%.
More can be learned about the volume of a rectangular prism at brainly.com/question/22070273
#SPJ1
4. The fabrication team will be starting with 20-ft lengths of the
tubing. How many 20-ft lengths are needed for each workbench?
(Hint: To convert inches to feet, divide by 12.)
The number of lengths required by the fabrication team for each workbench is 2.5 units.
What is length of an object?The measurement or size of something from end to end is referred to as its length. To put it another way, it is the greater of the higher two or three dimensions of a geometric form or object. For instance, the length and width of a rectangle define its dimensions. In the International System of Quantities, length is also a quantity having the dimension distance.
The total length of the workbench is given as 589.95.
Given that, 20 ft lengths are used for fabrication.
Thus, the number of lengths required are:
N = 589.95/ 20 (12) = 2.457 = 2.5
Hence, the number of lengths required by the fabrication team for each workbench is 2.5 units.
Learn more about length here:
https://brainly.com/question/30100801
#SPJ9
The complete question is:
Find the area of the shaded region
Answer:
15x² - 64x + 64
Step-by-step explanation:
To find the area of shaded region, we will first find the area of the whole shape then subtract the area of the white region.
The area of a square is calculated by multiplying the one side with itself:(4x-8)×(4x-8) = 16x² - 64x - 64 is the area of the whole shape
x*x = x²
Now subtract x² from the whole area16x² - 64x - 64 - x² = 15x² - 64x - 64
The line plot displays the number of roses purchased per day at a grocery store.
A horizontal line starting at 1 with tick marks every one unit up to 10. The line is labeled Number of Rose Bouquets, and the graph is titled Roses Purchased Per Day. There is one dot above 1 and 10. There are two dots above 6, 7, and 9. There are three dots above 8.
Which of the following is the best measure of center for the data, and what is its value?
The mean is the best measure of center, and it equals 8.
The median is the best measure of center, and it equals 7.3.
The mean is the best measure of center, and it equals 7.3.
The median is the best measure of center, and it equals 8.
HELP FAST
A stem and leaf plot showing the movie length in minutes shown. The stems from top to bottom are 8, 9, 10, 11, 12, 13. The first column of leaves is 1, 0, 4, 1, 5, 2. The second column of leaves is 3, 3, 4, 3, 9, 6. The third column of leaves is blank, 7, 7, 5, 9, blank. The fourth column of leaves is blank, blank, 9, blank, blank, blank.Type in the five-number summary for the data shown on the right.
The minimum of the data is
.
The first quartile is
.
The median of the data is
.
The third quartile is
.
The maximum of the data is
.
The minimum οf the data is 81, the first quartile is 94, the median οf the data is 105, the third quartile is 129, and the maximum οf the data is 133.
What is stem and leaf plοt?A stem and leaf plοt is a graphical representatiοn οf a dataset that is used tο display and οrganize individual values. The plοt is made up οf twο parts: the "stem" and the "leaf." The stem is the left-hand side οf the plοt and represents the first οne οr twο digits οf the values, while the leaf is the right-hand side οf the plοt and represents the remaining digits.
This plοt shοws the distributiοn οf the data and allοws yοu tο quickly see the range οf values, the shape οf the distributiοn, and any οutliers οr gaps in the data.
The stem and leaf plot represents the following data:
Stem/Leaf Value
8 1 3 813
9 0 3 4 7 903, 934, 974
10 4 7 104, 107
11 5 15
12 9 129
13 13
The five-number summary for the data is as follows:
The minimum of the data is 81.
The first quartile is 94.
The median of the data is 105.
The third quartile is 129.
The maximum of the data is 133.
To know more about stem and leaf plot visit:
brainly.com/question/12857419
#SPJ1
Answer:
minimum-81
first Q-95
median-109
third Q-127
maximum-136
Step-by-step explanation:
yurrrrr
y=x^2+7x+4 quadratic function in vertex form
The given quadratic function, y=x^2+7x+4, in vertex form is y = (x + 7/2)^2 - 33/4
Writing Quadratic functions in Vertex formFrom the question, we are to write the given quadratic function in vertex form
To write the quadratic function y = x^2 + 7x + 4 in vertex form, we can complete the square. The vertex form of a quadratic function is y = a(x - h)^2 + k, where (h, k) is the vertex.
To complete the square, we need to add and subtract a constant inside the parentheses so that the expression inside the parentheses becomes a perfect square trinomial. We can do this by adding and subtracting (7/2)^2 = 49/4 inside the parentheses:
y = x^2 + 7x + 4
= (x^2 + 7x + 49/4) - 49/4 + 4 (adding and subtracting 49/4)
= (x + 7/2)^2 - 33/4
Hence, the vertex form is y = (x + 7/2)^2 - 33/4
NOTE: The vertex is (-7/2, -33/4).
Here is the correct question:
Write the quadrat function Y=x^2+7x+4 in vertex form
Learn more on Vertex form here: https://brainly.com/question/24850937
#SPJ1
Math: When is an equation true?
Answer:
When an equation contains an equal sign "=", then it is an equation. The statement may be true, for example, "apple = apple," or it may be false, for example, "apple = sloth."
On the cartesian plane to the right, a) Sketch the restricted sine function on the interval from [−2π,2π] and label at least 3 points b) Sketch the inverse sine function and label at least 3 points c) Sketch the line y=x to demonstrate the inverse functions are reflections of each other across this line
a) For sin Functions :points (−2π, 0), (0, 0), and (2π, 0). Graph look in wave form
b) For inverse sine function:points (−2π, 0), (0, 0), and (2π, 0). Graph look in wave form
c) sine function and the inverse sine function are reflections of each other across the line y=x
a) To sketch the restricted sine function on the interval from [−2π,2π], we need to plot a few points from the sine function. Using the point (−2π, 0), (0, 0), and (2π, 0), we can then connect the dots to form the graph of the sine function. The graph should look like a wave with a period of 2π, and the points we used should be marked along the graph.
b) To sketch the inverse sine function, we need to plot points from the inverse sine function. Using the point (−2π, 0), (0, 0), and (2π, 0) as we did before, we can connect the dots to form the graph of the inverse sine function. This graph should look like a wave with a period of 2π, and the points we used should be marked along the graph.
c) To demonstrate the inverse functions are reflections of each other across the line y=x, draw a line y=x on the same graph. We can then observe that the sine function and the inverse sine function are reflections of each other across the line y=x.
Learn more about Functions
brainly.com/question/12431044
#SPJ4
Claudia organizes a team carpool with 5 vans. Each van carries 2 adults and an equal number
of children. There are 30 people in the carpool
altogether. Determine how many children are
in each van
Number of children in the each van is 4.
Let's start by using algebra to solve the problem. Let's call the number of children in each van "x".
Since each van carries 2 adults and "x" children, the total number of people in each van is:
2 + x
And since there are 5 vans in total, the total number of people in the carpool is:
5(2 + x) = 10 + 5x
We know from the problem that there are 30 people in the carpool altogether, so we can set up the equation
10 + 5x = 30
Solving for "x", we get:
5x = 20
x = 4
Learn more about equation here
brainly.com/question/14603452
#SPJ4
Which line is a graph of the equation: –2x + 5y = 10? Number graph ranging from negative five to five on the x axis and negative six to two on the y axis. Four lines are drawn in blue on the graph. Lines a and c have a positive slope and are parallel to each other. Lines b and d have a negative slope and are parallel to each other. Lines a and b intersect at (zero, two), and lines c and d intersect at (zero, negative two). Responses line a line a line b line b line c line c line d
Answer: The equation is of line "b"
Step-by-step explanation:
i need help on this please
The volume of the larger cylinder is 4 times greater than the volume of the smaller cylinder.
How to obtain the volume of a cylinder?The volume of a cylinder of radius r and height h is given by the equation presented as follows, which the square of the radius is multiplied by π and the height.
V = πr²h.
The radius of the cylinder is squared, meaning that when the radius is squared, the volume is multiplied by 2² = 4, hence the correct sentence is given as follows:
The volume of the larger cylinder is 4 times greater than the volume of the smaller cylinder.
More can be learned about the volume of a cylinder at brainly.com/question/9554871
#SPJ1
I need to know the rate of change of the area of a rectangle based off the information in the provided image.
The answer of the given question based on the rate of change of the area of a rectangle the answer is is decreasing at a rate of 8 units²/second.
What is a Rectangle?A rectangle is geometric shape that has four straight sides and four right angles. It is two-dimensional figure that can be described as parallelogram with four right angles. A rectangle has two pairs of parallel sides and opposite sides of equal length..
we are given that the length of the rectangle is increasing at a rate of 4 units/second and the width of the rectangle is decreasing at a rate of 3 units/second.
To find the rate of change of the area of the rectangle, we can use the chain rule of differentiation:
dA/dt = (dA/dl) * (dl/dt) + (dA/dw) * (dw/dt)
We can find dA/dl and dA/dw by taking the partial derivatives of the area formula with respect to l and w, respectively:
dA/dl = w
dA/dw = l
Substituting these values and the given rates of change into the chain rule formula, we get:
dA/dt = (w) * (4) + (l) * (-3)
Substituting l = 10 and w = 8 (from the given image), we get:
dA/dt = (8) * (4) + (10) * (-3) = 8 units²/second
Therefore, the rate of change of the area of the rectangle is decreasing at a rate of 8 units²/second.
To know more about Parallelogram visit:
brainly.com/question/28854514
#SPJ1
A group of 8 friends went to lunch and spent a total of $76, which included the food bill and a tip of $16. They decided to split the bill and tip evenly among themselves. Which equations and solutions describe the situation? Select two options. The equation StartFraction 1 over 8 EndFraction (x + 16) = StartFraction 76 over 8 EndFraction represents the situation, where x is the food bill. The equation StartFraction 1 over 8 EndFraction (x + 16) = 76 represents the situation, where x is the food bill. The solution x = 60 represents the total food bill. The solution x = 60 represents each friend’s share of the food bill and tip. The equation 8 (x + 16) = 76 represents the situation, where x is the food bill.
1) The equation 1/8(x+16)=76/8 represents the situation, where x is the food bill.
2) The solution x=60 represents the total food bill.
These both answers are correct.
What is an equation?
An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.
Since there are 8 group of friends, and the total amount spent by them is $76 including the tip i.e $16.
If x is the food bill our equation can be:
(x+16)/8 = 76/8
Solving the equation
(x+16)/8 = 9.5
x+16= 9.5*8
x= 76 -16
x= 60
The food bill is x=60.
To learn more about the equation from the given link
https://brainly.com/question/28218072
#SPJ1
In 2009, a fire destroyed 17/20 of the farmer's crops. Rewrite the fraction in the sentence below as a percentage.
Answer:
In 2009, a fire destroyed 85% of the
farmer's crops.
To convert a fraction to a
percentage, you can multiply the
fraction by 100.
17/20 0.85
So, 17/20 is equivalent to 0.85 or
85%.
Answer:
In 2009 a fire destroyed 85% of the farmers crops
Step-by-step explanation:
Please help!! 50 points I just need the answers no explanation
Segment FR is 14 units long. The coordinates for F and R are -2x +6 and 4x-7. Find the possible coordinates for F and R
The possible coordinates for F and R are (-3, y) and (7, y), where y is any real number, or (8, y) and (-11, y), where y is any real number.
We are given that segment FR is 14 units long and its endpoints have coordinates (-2x + 6, y) and (4x - 7, y), where y is the y-coordinate of both endpoints. To find the possible coordinates for F and R, we need to find values of x and y that satisfy the length condition and the endpoint conditions.
Using the distance formula, we can set up an equation for the length of segment FR:
sqrt((4x - 7 - (-2x + 6))^2 + (y - y)^2) = 14
Simplifying this equation, we get:
sqrt((6x - 13)^2) = 14
6x - 13 = ±14
Solving for x, we get:
x = 27/6 or x = -1
Case 1 x = 27/6
Substituting x = 27/6 into the endpoint coordinates, we get:
F = (-2(27/6) + 6, y) = (-3, y)
R = (4(27/6) - 7, y) = (7, y)
So, one possible set of coordinates for F and R is (-3, y) and (7, y), where y can be any real number.
Case 2: x = -1
Substituting x = -1 into the endpoint coordinates, we get:
F = (-2(-1) + 6, y) = (8, y)
R = (4(-1) - 7, y) = (-11, y)
So, another possible set of coordinates for F and R is (8, y) and (-11, y), where y can be any real number.
Therefore, the possible coordinates for F and R are:
(-3, y) and (7, y), or (8, y) and (-11, y), where y is any real number.
To know more about coordinates:
https://brainly.com/question/21433572
#SPJ4
share 80 in the ratio 1:4:5
Answer:
8,32,40
Step-by-step explanation:
we can show 1:4:5 as 1k:4k:5k,
1k+4k+5k=10k
10k=80
k=8
so, 1k=8
4k=32
5k=40
Answer: The answer is 8, 32, 40
Step-by-step explanation:
1= 1 over the total of ratio times the number that we are sharing
1+4+5= 10
1= 1/10 times 80= 8
4= 4/10 times 80= 32
5= 5/10 times 80= 40
Use Tools Find an object that you think has a mass greater
than 1 kilogram. Use a pan balance with kilogram and gram
weights to measure the mass of the object. Explain how you
measured the mass.
If the combined weight is 1.5 kilograms and the weight of the gram weights is 0.5 kilograms, then the mass of the object is 1 kilogram.
What is mass?Mass is describes the amount of matter it contains. It is usually measured in kilograms or pounds. Mass is distinct from weight, which measures the force of gravity on an object.
To measure the mass of an object that I think has a mass greater than 1 kilogram, I will use a pan balance and kilogram and gram weights.
First, I will set the pan balance to 0 by adjusting the counterweight.
Then, I will place the object on one of the pans and add weights to the other pan until the balance is equal.
I will first use 1 kilogram weights and then add smaller gram weights until the pan balance is equal.
Once the pan balance is equal, the combined weight of the object and the weights will be the mass of the object.
I can then calculate the mass in kilograms by subtracting the weight of the gram weights from the total mass.
For more questions related to weight
https://brainly.com/question/29892643
#SPJ1
Put these locations in order from most minutes of sunlight during summer months to least minutes of sunlight during summer months
From most minutes of sunlight to least minutes of sunlight during summer, the order would be Winnepeg, Philadelphia, Houston and Porto Alegre.
How does the number of sunlight hours change depending on your location?The number of sunlight hours increases as you move to the north, indeed in places like Alaska there can be 24 hours of sunlight near the summer solstice. Based on this principle, the correct order for the places given would be:
Winnepeg in CanadaPhiladelphia, Pennsylvania, United StatesHouston, Texas, United StatesPorot Alegre, BrazilLearn more about summer in https://brainly.com/question/2751386
#SPJ1
x + 4y = 1 3x + 5y = 10
Step-by-step explanation:
x + 4y = 10 ---(1)
13x + 5y = 10 ---(2)
(1) x 13 : 13x + 52y = 130 ---(3)
(3)-(2) : 47y = 120
y = 120/47 ---(4)
sub (4) into (1)
x + 4y = 10
x + 4(120/47) = 10
x = -10/47
Addison and Bert are in the same reading group at school. The book they're reading right now is 256 pages long. Addison has read 102 pages so far and decides to read 16 pages every day until she finishes the book. Bert has read 142 pages, and he plans to read 11 pages every day.
How many days will it be until Addison and Bert have each read the same number of pages in total? How many pages will they each have read?
In
days, Addison and Bert will each have read
pages.
Answer:
3,194
Step-by-step explanation:
Multiply 102 by 16.
Then multiply 142 by 11.
Now add the answer you got from both questions.
There's your answer.
Select all expressions that are equivalent to 81x^2 +180x -200 =100
The expressions that are equivalent to 81x² + 180x - 200 = 100 are: 27x² - 60x + 100 = 0, x² + (20/9)x - (100/27) = 0, (x + 1/3)(x + 10/3) = 0, (3x + 1)(3x + 10) = 0.
To find the expressions that are equivalent to 81x² + 180x - 200 = 100, we can simplify and manipulate the equation using basic algebraic operations.
Starting with the given equation:
81x² + 180x - 200 = 100
We can subtract 100 from both sides to get:
81x² + 180x - 300 = 0
Now, we can simplify the left side by dividing each term by their greatest common factor, which is 3:
27x² + 60x - 100 = 0
Next, we can divide each term by 27 to make the coefficient of x² equal to 1:
x² + (60/27)x - (100/27) = 0
Simplifying the fractions, we get:
x² + (20/9)x - (100/27) = 0
Now, we can use the quadratic formula to find the solutions of this equation:
x = (-b ± √(b² - 4ac))/2a
where a = 1, b = 20/9, and c = -100/27.
Plugging in these values, we get:
x = (-20/9 ± √((20/9)² + 4(1)(100/27)))/2(1)
x = (-20/9 ± √(400/81 + 400/27))/2
x = (-20/9 ± √(1600/81))/2
x = (-20/9 ± 40/9)/2
x = (-20 ± 40)/18
x = -1/3, -10/3
Learn more about factor here: brainly.com/question/219464
#SPJ4
Select the correct answer.
Answer:
C
Step-by-step explanation:
IF YU SQUARE 6 YU GET 36 AND 36×3=108
AND THAT BRINGS C TO BE THE CORRECT ANSWER
Trina has 232 books to put onto shelves. Each shelf can hold 38 books. She plans to fill each shelf before starting the next. She finds that 232÷38 is 6 r4. How many books will be on each shelf?
The last shelf will have 4 books on it. So Trina will put 38 books on each of the first 6 shelves, and 4 books on the last shelf.
Trina has 232 books to put onto shelves, and each shelf can hold 38 books. Since she plans to fill each shelf before starting the next, we can divide the total number of books by the number of shelves to find how many books will be on each shelf.
Dividing 232 by 38, we get:
232 ÷ 38 = 6 with a remainder of 4
This means that Trina can fill 6 shelves completely with 38 books each, and will have 4 books left over that won't fill a full shelf. To find how many books will be on each shelf, we simply divide the total number of books by the number of full shelves:
38 books per shelf x 6 shelves = 228 books
So there will be 228 books on the first 6 shelves. To find how many books will be on the last shelf, we subtract the number of books on the full shelves from the total number of books:
232 total books - 228 books on full shelves = 4 books
Learn more about remainder here: brainly.com/question/29347810
#SPJ4
Can anyone help me with this?
Answer: y-bdjd-=jgj
Step-by-step explanation:
because in chemestry 534 page their ids all the rullers
A parabola has focus (5, 7) and directrix y=0 (the x-axis). Write an equation that says point (x, y) is
on the parabola. You do not need to put it into vertex form. If it's helpful, draw a sketch of the
parabola.
Answer:
14(y -7/2) = (x -5)²
Step-by-step explanation:
You want an equation for the parabola with focus (5, 7) and directrix y=0.
EquationThe vertex of a parabola is halfway between the focus and the directrix. When the directrix is a horizontal line, the y-coordinate of the vertex is the average of the y-coordinates of the focus and directrix. The x-coordinate of the vertex is the same as that of the focus.
The scale factor in the vertex form equation is 1/(4p), where p is the distance from the vertex to the directrix.
ApplicationHere, the vertex y-coordinate is (7+0)/2 = 3.5. The vertex x-coordinate is 5. The distance from the vertex to the directrix is 3.5 -0 = 3.5.
Then the vertex form equation for the parabola can be written as ...
y = a(x -h)² +k . . . . . . . . parabola with scale factor 'a' and vertex (h, k)
y = 1/(4·3.5)·(x -5)² +3.5 . . . . . parabola with scale factor 1/(4·3.5) and vertex (5, 3.5)
The fraction can be eliminated to give the form ...
14(y -3.5) = (x -5)²
The weights of certain machine components are normally distributed with a mean of 6. 3 ounces and a standard deviation of 0. 03 ounces. Find the two weights that separate the top 9% and the bottom 9%. These weights could serve as limits used to identify which components should be rejected. Round your answer to the nearest hundredth, if necessary
the weights that separate the top 9%of the machine components is 6.33 ounces and the bottom 9% of the machine components is 6.27 ounces.
We know that the weights of the machine components are normally distributed with a mean of 6.3 ounces and a standard deviation of 0.03 ounces.
Let X be the weight of a machine component.
To find the weights that separate the top 9% and the bottom 9%, we need to find the z-scores corresponding to these percentiles and then use them to find the corresponding weights.
Using a standard normal distribution table, we can find that the z-score corresponding to the top 9% is approximately 1.34, and the z-score corresponding to the bottom 9% is approximately -1.34.
Using the formula for converting a value to a z-score:
z = (X - μ) / σ
For the top 9% weight, we have:
1.34 = (X - 6.3) / 0.03
Solving for X, we get:
X = 6.33 ounces
For the bottom 9% weight, we have:
-1.34 = (X - 6.3) / 0.03
Solving for X, we get:
X = 6.27 ounces
Therefore, the weights that separate the top 9% and the bottom 9% of the machine components are 6.33 ounces and 6.27 ounces, respectively. Any components with weights outside of this range may be considered for rejection.
To learn more about standard deviation click here
brainly.com/question/23907081
#SPJ4