A company makes gift boxes in different sizes following the pattern shown below. What is the volume of the fourth gift box to the nearest cubic inch? - see attachment :)
Answers
The volume of the fourth box is of 410.1 cubic inches.
---------------------
The volume of a rectangular prism is given by the base area multiplied by the height, that is:
\(V = A_bh\)
---------------------
For the first three boxes, the height is constant at 9 inches.At the base, the edge length is multiplied by 1.5 each time, as \(\frac{4.5}{3} = \frac{3}{2} = 1.5\), thus, for the fourth box, the edge length, in inches, will be of \(4.5 \times 1.5 = 6.75\)---------------------
Square base, of length 6.75 inches, thus:\(A_b = 6.75^2 = 45.5625\)
Height of 9 inches, thus \(h = 9\) and:\(V = A_bh = 45.5625(9) = 410.1\)
The volume of the fourth gift box will be of 410.1 cubic inches.
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Related Questions
(6 + 3) = (4-5) = 18
Evaluate the following numerical expressions
Answers
Answer:
18
-9
30
Step-by-step explanation:
did on edge :)
Answer:
Evaluate the following numerical expressions.
6 + 3 • 4 = 18
(6 + 3) ÷ (4 – 5) = -9
6 + 23 • 3 = 30
Step-by-step explanation:
i took the test
help asap please)
The vertices of a trapezoid are shown below.
P(0,0),Q(4,0),R(4,6),S(0,12)
This trapezoid is dilated about the origin by a scale factor of 4. What is the location of point P?
A. (0,0)
B. (4,0)
C.(4,4)
D.(0,4)
Answers
Answer: A
Step-by-step explanation:
You can multiply the coordinates by 4, giving (0,0)
WILL GIVE 388 points
Jonathan has 90 apples. he does A EXPERIMENT putting 14 each day in hot water for 3 hours, how many hours or days did it take john to finish the experiment
Answers
90x14= 1,260
1,260 divided by 3 = 420
I hope this helps let me know if I’m wrong
Step-by-step explanation:
I'm not sure but he if he puts 14 Apples a day in hot water for 3 hours, I got 90÷14
which was 6 RM 6 which means he out 14 apples in hot water 6 times and he remains with 6 apples(I don't know what he does with those) but since he puts 14 apples 6 times for 3 hours multiply 6×3=18 hours again, I'm not sure if this is correct at all but I hope I at least triggered something that you can think of?
the lines shown are parrallel. if the green line has a slope of 5, what is the slope of the red line
Answers
Answer:
if a line is parallel they have the same slope
so the slope is 5
Hope This Helps!!!
20points
please come help me
Answers
Opposite angles are congruent therefore
77 = 6x + 23
6x = 54
X = 9
And supplementary angles sum up to be 180 degrees where in this case we can take angle 77 degrees and z which makes
77 + z = 180
Z = 103 degrees
Therefore,
x = 9 degrees
z = 103 degrees
a rectangular pasture has a perimeter of 1200 feet. the pasture's length is 200 feet more than its width. what is the area of the pasture?
Answers
The area of the rectangular pasture is found to be 80,000 ft².
Explain the term Rectangle?A rectangular is a flat, two-dimensional object with four sides. A rectangle has two opposite sides that are parallel to one another and have the same length. A rectangle with the dimensions l and w has an area of l w. The rectangle's perimeter is 2(l + w).Given:
A rectangular pasture does have a 1200 foot circumference. The width of the meadow is 200 feet wider than its length.Let the pasture's rectangular length be l feet.
Given that the rectangular pasture's length being 200 feet longer than its breadth, its width must be w = l200 feet.
The pasture's boundary is;
2(l + w) = 1200
2(l + l - 200) = 1200
2l - 200 = 600
l = 400 feet
Width; w = l - 200
w = 400 - 200 = 200 feet
Rectangular area;
A = l x w
A = 400 x 200
A = 80,000 ft²
Thus, the area of the rectangular pasture is found to be 80,000 ft².
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by including another variable in the regression, you could group of answer choices decrease the regression r2 if that variable is important. decrease the variance of the estimator of the coefficients of interest. eliminate the possibility of omitted variable bias from excluding that variable. look at the t-statistical of the coefficient of that variable and include the variable only if the coefficient is statistically significant at the 1% level.
Answers
Careful consideration and statistical analysis should be undertaken to determine the appropriate variables to include in a regression model.
By including another variable in a regression analysis, several outcomes are possible. Let's consider the statements you provided one by one:
1. Decrease the regression R^2 if that variable is important:
- If the added variable is important and has a meaningful relationship with the dependent variable, it can increase the explanatory power of the regression model, thereby increasing the R^2.
However, if the added variable is not relevant or has a weak relationship with the dependent variable, it can decrease the R^2.
2. Decrease the variance of the estimator of the coefficients of interest:
- Including additional variables in a regression model can sometimes help to reduce the variance of the coefficient estimators for the variables of interest.
This is because including more relevant variables can help to explain some of the variance in the dependent variable, leaving less unexplained variance for the coefficients of interest.
3. Eliminate the possibility of omitted variable bias from excluding that variable:
- Omitted variable bias can occur when an important variable is not included in the regression model.
Including all relevant variables in the model can help reduce the risk of omitted variable bias, as it allows for a more comprehensive analysis of the relationship between the dependent variable and the independent variables.
4. Look at the t-statistic of the coefficient of that variable and include the variable only if the coefficient is statistically significant at the 1% level:
- The t-statistic measures the statistical significance of a coefficient. Inclusion of a variable in a regression model is often based on its statistical significance.
If the coefficient of the variable is statistically significant at the desired significance level (e.g., 1%), it suggests that the variable has a meaningful impact on the dependent variable and can be included in the model.
It is important to note that the effect of including an additional variable in a regression model depends on various factors such as the relationship between the variables, sample size, multicollinearity, and the specific research context.
Therefore, careful consideration and statistical analysis should be undertaken to determine the appropriate variables to include in a regression model.
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The coordinates of the four vertices of quadrilateral ABCD are listed below
4
• A(-3,3)
.
.B(2,6)
. C(5, 1)
. D(-5,-5)
Which statement proves whether or not this quadrilateral is a rectangle?
OA
The slope of CD is-
rectangle
OB The slope of AB is
-5-1
-5-5
OD. The slope of AB is
6-3
2-(-3)
3
5
6-3
2-(-3)
3
and the slope of DA IS
OC. The slope of BC is and the slope of CD is
rectangle
3-(-5)
-3-(-5)
and the slope of BC is These two segments are perpendicular, so the shape is a rectangle.
These two segments are not perpendicular, so the shape is not a
These two segments are not perpendicular, so the shape is not a
and the slope of CD is-7
These two segments are perpendicular, so the shape is a rectangle.
Answers
For the quadrilateral ABCD the statement which proves that this quadrilateral is not a rectangle is (a) The slope of CD is "(-5-1)/(-5-5) = 3/5", and the "slope of DA is [3-(-5)]/[-3-(-5)] = 8/2", these "two-segments" are not perpendicular , so the shape is not a rectangle;
The coordinates of the "four-vertices" of the quadrilateral ABCD are :
A(-3,3), B(2,6), C(5, 1), D(-5,-5);
To prove whether the quadrilateral is a rectangle or not, we need to show that its adjacent sides are perpendicular and its diagonals are congruent.
In this question, we are given the coordinates of the four vertices of the quadrilateral.
To determine if it's a rectangle, we use the slope formula to find the slopes of the sides of the quadrilateral. If slopes of adjacent sides are "negative-reciprocals" of each other, then they are perpendicular. If the slopes of the diagonals are equal, then they are congruent.
Using the given coordinates, we find that the slope of CD is = (-5-1)/(-5-5) = 3/5, and
The slope of DA is = [3-(-5)]/[-3-(-5)] = 8/2. These two slopes are not negative reciprocals of each other, so CD and DA are not perpendicular.
So, the quadrilateral is not a rectangle.
Therefore, the correct option is (a).
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The given question is incomplete, the complete question is
The coordinates of the "four-vertices" of the quadrilateral ABCD are :
A(-3,3), B(2,6), C(5, 1), D(-5,-5);
Which statement proves whether or not this quadrilateral is a rectangle?
(a) The slope of CD is (-5-1)/(-5-5) = 3/5, and the slope of DA is 3-(-5)/-3-(-5)=8/2, these two segments are not perpendicular , so the shape is not a rectangle;
(b) The slope of AB is (6-3)/(2-(-3) = 3/5, and slope of BC is (6-1)/(2-5) = -5/3, these two segments are perpendicular , so the shape is a rectangle;
(c) The slope of BC is (6-1)/(2-5) = -5/3, and slope of CD is (-5-1)/(-5-5) = 3/5, these two segments are not perpendicular, so the shape is not a rectangle;
(d) The slope of AB is (6-3)/(2-(-3) = 3/5, and slope of CD is (-5-1)/(-5-5) = 3/5, these two segments are perpendicular , so the shape is a rectangle;
Pleaseee helppp answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!
Answers
can you guys help, plz i dont understand it
Answers
Answer:
21x+6
Step-by-step explanation:
Use the grouping method to factor the polynomial below.
x^3+4x^2-3x-12
Answers
= x²(x+4)-3(x+4)
= (x+4)(x²-3)
y=4(1/3)^x growth or decay and why ?
Answers
Answer:
Decay
Step-by-step explanation:
The equation shown has a ratio(number raised to the power) less than 1, so therefore it is decay. This basically comes from the fact that if you raise a number less than 1 to a power, it become smaller than the number itself.
(In the cases talked about above, we are neglecting negative numbers)
If −3+ n≤ 25, which inequality represents the possible range of values for 4n-12?
A) 4n-12≤ -100
B) 4n-12≤ 100
C) 4n-122-100
D) 4n-12≥100
Answers
The range is 4n - 12≤100.
The inequality is -3 + n≤25. From this, we can find the range of n.
n≤25 + 3
n≤28
Now we have to find the range of 4n - 12. For this, we have to ≤multiply both sides with 4 and then subtract it from 12, in the range of n.
That is;
4n≤ 28×4
4n - 12 ≤112 -12
4n - 12 ≤100
Therefore the range is 4n - 12≤ 100.
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What is 4 = 2(x + 3)
Answers
Answer:
x = -1
Step-by-step explanation:
4 = 2(x + 3)
distribute to remove the parenthesis
4 = 2x + 6
-6 -6
move the 6
-2 = 2x
2 2
divide
-1 = x
Part B: State the domain and range in interval notation.
Answers
range: [-3,-3]U(-1,infinity)
find an equation of the line tangent to the curve at the point corresponding to the given value of t. x=t^2-23, y=t^3 + t; t=5
Answers
The equation of the line tangent to the curve at the point corresponding to the given value of t.
x = t²-23 and y = t³ + t, at t = 5 is
38x - 5y + 574 = 0
Given, a curve with the points represented by
x = t²-23 and y = t³ + t, at t = 5
we have to find an equation of the line tangent to the curve at the given point on the curve.
so, the given point is (x , y) = (5² - 23 , 5³ + 5)
(x , y) = (2 , 130)
Now, the slope of the curve at that point be,
dy/dx = (3t² + 1)/(2t)
dy/dx = 76/10
Now, on using the slope-intercept form, we get
(y - 130)/(x - 2) = 38/5
5(y - 130) = 38(x - 2)
5y - 650 = 38x - 76
38x - 5y + 574 = 0
Hence, the equation of the line tangent to the curve at the point corresponding to the given value of t.
x = t²-23 and y = t³ + t, at t = 5 is
38x - 5y + 574 = 0
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NO LINKS OR FILES JUST THE CORRECT ANSWER I NEED THIS SO I CAN FINISH MATH SO I CAN MOVE SCHOOLS I CAN MARK BRAINLIEST.PLZZZZZZZZZ
5. How does the experimental probability of getting each dinosaur differ from the theoretical probability? Here, you are comparing the experimental vs. theoretical probability of getting each type of dinosaur in a single purchase. In other words, you are determining the probability for a single event, not a compound event.
Answers
Answer:
Experimental probability is the result of an experiment. Theoretical probability is what is expected to happen. Three students tossed a coin 50 times individually.
Step-by-step explanation:
anyone know how to do this
Answers
Answer:Hi
Step-by-step explanation:
What is x= 0.393 as a fraction and simplified
Answers
Answer:
390 /1000
=
39 /100
(Decimal: 0.39)
Step-by-step explanation:
Hope this helps!
PLEASE HELP! WILL GIVE BRAINLIEST!!!
Answers
a shop is said to make a profit of $5400 a month. if this figure is given correct to the nearest $100 find the in which the actual monthly figure $x, lies
Answers
The range in which the actual monthly profit figure, x, lies is between $5350 and $5450. In other words, the actual profit figure could be any value within this range, and it would round to $5400 when given correct to the nearest $100.
If the reported profit of the shop is given as $5400, correct to the nearest $100, it means that the actual profit could be anywhere between $5350 and $5450 (since rounding to the nearest $100 would make any value between $5350 and $5450 round to $5400).
To determine the range in which the actual monthly profit figure, x, lies, we need to consider the possible values that could round to $5400. The range can be calculated by finding the lower and upper bounds.
Lower bound:
The lower bound would be $5350 since any value between $5350 and $5350 + $50 would round down to $5400.
Upper bound:
The upper bound would be $5450 since any value between $5450 - $50 and $5450 would round up to $5400.
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very few tools are available to assist system analysts and end users in analyzing data.
Answers
False. very few tools are available to assist system analysts and end users in analyzing data.
There are many tools available to assist system analysts and end users in analyzing data. Some commonly used tools include spreadsheets (such as Microsoft Excel), data visualization software (such as Tableau or Power BI), statistical analysis software (such as R or SPSS), and business intelligence software (such as SAP or Oracle).
These tools allow analysts and end users to process, manipulate, and visualize large volumes of data, as well as to perform complex statistical analyses and modeling. Additionally, with the advent of big data technologies, such as Hadoop and Spark, analysts and end users can now analyze vast amounts of data in real-time, using distributed computing systems.
In summary, there are many tools available to assist system analysts and end users in analyzing data, and these tools continue to evolve and improve over time.
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order the steps for graphing the inequality
Answers
Step-by-step explanation:
Below are the proper sequence of steps for graphing inequalities:
Replace the inequality symbol with " = " and graph the linear equation. Choose a test point from one of the half-planes and not from the line. Substitute its coordinates into the inequality.If a true statement results shade the half plane containing the test point. If not, shade the other half plane.19. Linton's rectangular garden is 5 3/4 feet long and 4 1/2 feet wide. What is the area of the garden?
Answers
Answer:
20 1/4
Step-by-step explanation:
since 4 1/2 we need to change the denominator 1/2 x 2 = 2/4 now multiply
4 2/4 x 5 3/4 = 20 1/4
enter the correct letters in the boxes on the left with the negative statements on the right. apples make good pies. a seven is not a prime number. the sun is hot today. b a line doesn't contain at least two points. 3 2
Answers
The correct letters to enter in the boxes on the left are: b and d.
Enter the correct letters in the boxes on the left with the negative statements on the right.
apples make good pies. - False (a)
a seven is not a prime number. - False (b)
the sun is hot today. - True (c)
a line doesn't contain at least two points. - True (d)
To determine the correct letters in the boxes, we need to identify which statements are negative.
In statement (a), "apples make good pies," the statement is positive because it states that apples do make good pies. Therefore, the letter "a" should not be entered in the box on the left.
In statement (b), "a seven is not a prime number," the statement is negative because it states that a seven is not a prime number. Therefore, the letter "b" should be entered in the box on the left.
In statement (c), "the sun is hot today," the statement is positive because it states that the sun is hot today. Therefore, the letter "c" should not be entered in the box on the left.
In statement (d), "a line doesn't contain at least two points," the statement is negative because it states that a line does not contain at least two points. Therefore, the letter "d" should be entered in the box on the left.
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Line perpendicular to y = 5x + 15
that goes through (-5, -9)
Answers
Answer:
y= -1/5x - 10
Step-by-step explanation: the line has the form: y=ax+b
the line goes through (-5,-9) --> -5a+b=-9
the line is perpendicular to y=5x+15 --> 5a=-1 --> a=-1/5
therefore (-5). (-1/5) + b = -9 --> b=10
trust me I'm Asian
Johnnie runs 4.5 km everyday to stay in shape. It takes him 30 minutes to run his route. What is his average speed per hour?
Answers
Answer:
6.6
Step-by-step explanation:
Steve joins a gym with a first month fee of $50 and $10 every month after that. A. Write a function that shows the amount Rajs has paid after m months.(use f(m) and m in the function) B. How much will he have spent in total after 12 months?
Answers
No Links
Philip is rolling two number cubes. How many different ways can he rolled the number cubes and get a sum of 6?
A) 3
B) 4
C) 5
D) 6
Answers
Answer:
3
Step-by-step explanation:
Cubes have 6 sides
you have 2 cubes
there are 3 ways to get a 6
1+5 -> 2+4 -> 3+3
I NEED HELP ASAP 14 and 15 have the same choices WILL MARK BRAINLIST
Answers
Answer:
14. adjecent
15. vertical
Step-by-step explanation:
Answer:
1. C
2. vertical
Step-by-step explanation:
kinda just-
angles are opposite kinda
and the other one i dont wanna type out