here are nets of three cardboard boxes that are all rectangular prisn the boxes will packed with 1 centimeters cube all lengths are in centimeters.1. compare the surface area of the boxes which box will use the least cardboard
Answers
Box A
Surface Area = sum of the areas of the individual boxes
Surface Area A = 2 ( 3 x 3 ) + 3 ( 2 x 3) + 1 (2 × 2) = 18 + 18 + 4 = 40 sq.cm
Surfaca Area B
= 2 ( 3x 6) + 2 ( 1 x 6) + 2 ( 1 x 3) = 36 + 12 + 6 = 54 sq.cm
Surface Area C = 6 ( 3x 3) = 54 sq cm.
Box A has the least surface area.
Related Questions
Find the simple interest.
Principal
$100
Rate
8%
Time
3 years
The interest is $
(ANSWER QUICKLY)
Answers
Answer:
$24
Step-by-step explanation:
100x.08 (must move the decimal twice to the right)x 3
The given point P is located on the unit circle, similar to what is seen in the image below, determine the sine and cos e(P is
not necessarily in Quadrant I).
(0,1)
(-1,0)
(0,-1)
(1,0)
PLS HELP ME ASAP
Answers
The sine and cosine of the angle of point P are sin θ = 143/145 and cos θ = -24/145 respectively. Option b. is the answer
How to determine the sine and cosine of the angle of point P?Given the coordinate of the point as P (-24/145, 143/145)
This implies x = -24/145 and y = 143/145
To determine the sine and cosine of the angle of point P, we can make a sketch using this information (see attached image).
opposite = 143/145, adjacent = -24/145
hypotenuse = √[(-24/145)² + (143/145)²] = √1 = 1
Using trigometric ratios:
sin θ = (143/145) / 1 = 143/145 [sin θ = opposite/ hypotenuse]
cos θ = (-24/145) / 1 = -24/145 [cos θ = adjacent/ hypotenuse]
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Triangle ABC is shown in the diagram below. Show two different ways that you can determine the measure of ABC
Answers
Step-by-step explanation:
vertical angles or line pairs
c=60
180-120=60
180-131=49
60+49=109
180-109=71
Question 9 of 60
Which symbol correctly compares the fractions below? 3/7 ? 4/14
O A. =
B. >
O C. <
OD. None of these are correct.
SUBMIT
Answers
What type of angle is angle M?
c.
L
in
Practice
с
s in
- Space of
M
P.
nes and
O A. obtuse
and Proofs
O Bright
of
rap-Up
O C. acute
OD. straight
Answers
Answer:
B
Step-by-step explanation:
right
have a good day, hope this helps
Help needed today plsss
Answers
Answer:for #2 it's answer 1. #3 is " five less than twice a number is 2x-5. Then 5 times the sum of two numbers if 5x+y. The the difference of 5 and a number squared is (5-x)*2
Step-by-step explanation:
Hope this helps
A rectangle has a perimeter of 28 feet. The width of the rectangle is two foot less than the length of the rectangle. What is the width of the rectangle?
Answers
Step-by-step explanation:
perimeter of a rectangle = 2×length + 2×width = 28 ft
width = length - 2
length = width + 2
2×(width + 2) + 2×width = 28
2×width + 4 + 2×width = 28
4×width + 4 = 28
4×width = 24
width = 6 ft
and the length is width + 2 = 6+2 = 8 ft.
A cubic root function has a domain of x≥−3 and a range of y≥−1. What is the range of its inverse?
Answers
In general, if the range of a function is y≥−1, its inverse has a domain of y≥−1. So, the range of the inverse of the cubic root function is y≥−1.
How do we know this?The range of a cubic root function becomes the domain of a cube function and vice versa since a cubic root function is an inverse function of a cube function. Therefore, the cube function's range is x3 if the cubic root function's domain is x3.
A function's inverse typically has a domain of y1 if its range is y1. Therefore, y1 is the domain of the inverse of the cubic root function.
Describe a function.
A function is a mathematical relationship between a domain—a set of inputs—and a range—a set of outputs. Each input in the domain is given a distinct output, known as the function value, by a function. An equation or graph can be used to depict the function value.
A function is typically represented symbolically by an equation that describes the relationship between the inputs and outputs and a letter, like f or g, as well as the letter. For instance, the equation of a function that accepts a value of x as input and produces its square is f(x) = x2.
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Which equation is equivalent to 4^x+3 - 64?
2^x+6 = 2^4
22^x+6 = 2^6
42^x+6= 4^2
4^x+3 - 4^6
Answers
Answer:
c
Step-by-step explanation:
I might need help on this.
Answers
Answer:
90 because 3/4 of 120 is 90 hope this helps :)
Step-by-step explanation:
Answer:
I'm only answering if you definatley need halp on it.
Step-by-step explanation:
What is the percent change from 310 to 155?
Answers
Answer: 50% decrease
Step-by-step explanation:
50% of 310 = 155
310-155=155
50% decrease :)
ANSWER: 50% decrease
SOLUTION:
50% of 310 = 155
310-155=155
So in all the answer is.......
50% decrease :)))))
-XOXOXO:)
Consider the function f,g:\(\mathbb{R} \to\mathbb{R}\) defined by
\( \rm f(x) = {x}^{2} + \frac{5}{12} \: and \: g(x) = \begin{cases}2 \bigg( \rm 1 - \dfrac{4 |x| }{3} \bigg), \: \: \: \: |x| \leq \dfrac{3}{4}, \\ \\ 0, \: \: \: \: \: \rm \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: |x| > \dfrac{3}{4} .\end{cases} \)
If \(\alpha\) is the area of the region
\( \rm \bigg \{(x,y) \in \mathbb{R} \times \mathbb R : |x| \leq \dfrac{3}{4} ,0 \leq y \leq min \{f(x),g(x) \} \bigg \}\)
then the value of 9\(\alpha\)
Answers
Suppose \(x>0\); then the curves meet when
\(x^2 + \dfrac5{12} = 2 - \dfrac83 x \implies x^2 + \dfrac83 x - \dfrac{19}{12} = \left(x + \dfrac{19}6\right) \left(x - \dfrac12\right) = 0 \\\\ \implies x = \dfrac12\)
By symmetry, they intersect at \(x=\pm\frac12\).
We also see that \(\min\left\{f(x):|x|\le\frac34\right\} = \frac5{12}\) and \(\max\left\{g(x):|x|\le\frac34\right\} = 2\) at \(x=0\). \(f\) and \(g\) are continuous, so it follows that
\(\min\left\{f(x),g(x) :|x|\le\frac34\right\} = \begin{cases} f(x) & \text{if } |x| < \frac12 \\ g(x) & \text{if } |x| > \frac12 \\ f\left(\pm\frac12\right) = g\left(\pm\frac12\right) = \frac23 & \text{if } x = \pm\frac12 \end{cases}\)
Compute the area \(\alpha\). Taking advantage of symmetry again, we have
\(\alpha = \displaystyle 2 \int_0^{1/2} \int_0^{f(x)} dy\,dx + 2 \int_{1/2}^{3/4} \int_0^{g(x)} dy \, dx \\\\ ~~~~ = 2 \int_0^{1/2} f(x) \, dx + 2 \int_{1/2}^{3/4} g(x) \, dx \\\\ ~~~~ = \left. 2 \left(\frac{x^3}3 + \frac{5x}{12}\right) \right\vert_0^{1/2} + \left. 2 \left(2x - \frac{8x^2}6\right) \right\vert_{1/2}^{3/4} \\\\ ~~~~ = \left(\frac12 - 0\right) + \left(\frac32 - \frac43\right) = \frac23\)
and it follows that \(9\alpha = \boxed{6}\).
the competitive advantage of some small american factories such as in tolerance contract manufacturing lies in their ability to produce parts with very narrow requirements, or tolerances, that are typical in the aerospace industry. consider a product with specifications that call for a maximum variance in the lengths of the parts of . suppose the sample variance for parts turns out to be . use , to test
Answers
The p-value is 0.1533, so p-value>0.05 fail to reject the null hypothesis. There is insufficient evidence to support the claim p-value greater than the significance level 0.05.
Consider the above given that
⇒\(& \alpha=0.05 \quad \mathrm{n}=34 \mathrm{~s}^2=0.0005 \\\)
⇒\(H_{0} : \sigma^2 \leq 0.0004 \\\)
⇒\(H_{a} : \sigma^2 > 0.0004\)
The null and alternative hypothesis test statistic:
Null and alternative hypotheses are used in statistical hypothesis testing. The null hypothesis of a test always predicts no effect or no relationship between variables, while the alternative hypothesis states your research prediction of an effect or relationship.⇒\(& \mathrm{x}^2=\left(\frac{\mathrm{n}-1}{\sigma^2}\right) \mathrm{s}^2 \\\)
\(& =\left(\frac{34-1}{0.0004}\right) 0.0005 \\\)
⇒\(& \mathrm{x}^2=\left(\frac{33}{0.004}\right) \times 0.0005 \\\)
\(& =82,500 \times 0.0005 \\\)
⇒\(& \mathrm{x}^2=41.25\)
⇒\(h_{0} : $\sigma^2$ is that or equal to $0.0004$\)
⇒\(h_{a} : $\sigma^2$ is greater that $0.0004$\)
⇒p value=p(z>41.25)
⇒p value=0.1533
By using P Value from Chi-Square Calculator
⇒p value=0.1533
⇒P value >0.05
Fail to reject the null hypothesis.
There is insufficient evidence to support the claim p value greater than the significance level 0.05.Therefore, the p-value is 0.1533, so p-value>0.05 fail to reject the null hypothesis.
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The competitive advantage of some small Americans factories such as in tolerance contract manufacturing lies in their ability to produce parts with very narrow requirements, or tolerances, that are typical in the aerospace industry. consider a product with specifications that call for a maximum variance in the lengths of the parts of 0.0004. suppose the sample variance for 34 parts turns out to be \(s^{2}=0.0005\) . use \(\alpha=0.05\) , to test whether population variance specification is violated.
\(H_{0} \\H_{a}\)
Test statistic:
The p-value is-------.
if any of you can help me AND get the right answer i will give you brainleist!
Answers
Answer:
7(1+2)
Step-by-step explanation:
So find the Greatest common factor first which is7 in this case
now we divide each number by 7
1+2 now
now we put that around parthesis and multiply it by 7
7(1+2)
Thats how you factpr
Check:
using distributive property
7+14, same answer.
Answer:
7(1+2)
Step-by-step explanation:
Find the factors of each number
7 has factors of 1,7
14 has factors of 1,2,7,14
The greatest common factor is 7
7*1 + 2*7
Factor out the 7
7(1+2)
A researcher was interested in the impact of listening to different types of music on learning. She designed an extensive maze for rats and after she taught rats how to get through the maze, she randomly assigned each rat to run the maze while (a) listening to classical music, (b) listening to heavy metal music, or (c) in a quiet room (i.e., no music). The researcher measured the amount of time it took each rat to get through the maze and the number of errors made.
a. Independent Variable ? _________________ What are the levels? ________________________________
b. Dependent Variable ? _____________________________
c. What might be an extraneous variable?: ___________________________________
d. Control group? _________________ Experimental Group(s)?____________________
Answers
a.) The independent variable is the different types of music
b.) The dependent variable is the impact of listening felt by the rats
c.)An extraneous variable is the length of the maze.
d.) The control group is the rat in the quite room while the experimental groups are the ones in the maze listening to classical music, and listening to heavy metal music.
What is an independent and dependent variables?An independent variable is defined as the type of variable that cannot be manipulated by a researcher and isn't affected by what is being measured.
A dependent variable is the variable that can be manipulated by a researcher and is affected by what is being measured.
For question a.)
The independent variable is the different types of music
For question b.)
The dependent variable is the impact of listening felt by the rats
For question c.)
An extraneous variable is the length of the maze.
For question d.)
The control group is the rat in the quite room while the experimental groups are the ones in the maze listening to classical music, and listening to heavy metal music.
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Solve for y: y+4 = -2(x – 6)
Answers
l hope that helps
A rectangular piece of land has an area of 3/4 square mile.The land is 2 1/2 miles long what is its width
Answers
Answer:
width = 3/10 mi
Step-by-step explanation:
area = length * width
width = area/length
width = (3/4 mi^2)/(2 1/2 mi)
width = (3/4 mi^2)/(5/2 mi)
width = 3/4 * 2/5 mi
width = 6/20 mi
width = 3/10 mi
Tamara has $30,000, part or all of which she wants to invest into a combination of corporate bonds and municipal bonds. She wants to invest no less than $8,000 into corporate bonds, and at least three times as much into corporate bonds than into municipal bonds. Let x be the amount invested in corporate bonds, and let y be the amount invested in municipal bonds. Which system of inequalities describes Tamara’s investment options?
Answers
Answer:
The system of inequalities describes Tamara’s investment options are as follows:
\(8000\leq x\)
\(3y\leq x\)
Step-by-step explanation:
Total amount with Tamara = $30,000
Let \(x\) be the amount invested in corporate bonds, and let \(y\) be the amount invested in municipal bonds.
She wants to invest no less than $8,000 into corporate bonds.
So, the inequality is \(8000\leq x\)
Also, she wants to invest at least three times as much into corporate bonds than into municipal bonds.
\(3y\leq x\)
The system of inequalities describes Tamara’s investment options are as follows:
\(8000\leq x\)
\(3y\leq x\)
what is the correct distribution of (2x-8)(3x-6) using the distributive property
Answers
Answer:
6x² -36x +48
Step-by-step explanation:
The terms in one factor are each multiplied by the terms in the other factor. The resulting partial products are then combined. (This works the same as for numerical "long" multiplication.)
(2x -8)(3x -6) = 2x(3x -6) -8(3x -6)
= 6x² -12x -24x +48 . . . . . . . form partial products
= 6x² -36x +48 . . . . . . . collect terms
Answer:
6x² - 36x + 48
Step-by-step explanation:
(2x-8)*(3x-6) = 2x*3x + 2x* -6 + -8*3x + -8*-6
6x² - 12x - 24x + 48
6x² - 36x + 48 [Answer]
PLEASE RATE!! I hope this helps!!
if you have any questions comment below!!
(I have verified my answer using an online calculator)
The hexagonal prism below has a height of 9 units and a volume of 216.9 units. Find the area of one of its bases.
Answers
Answer:
The answer is 24.1 unit²
Step-by-step explanation:
Volume of prisms=cross sectional area×h
cross sectional area=Volume of prisms/height
A=216.9/9
A=24.1 unit²
make x the subject of the formula in R = ax-p/q+bx
Answers
R = (ax - p)/(q + bx)
(ax - p) = R(q + bx)
ax - p = Rq + Rbx
ax - Rbx = Rq + p
x(a - Rb) = Rq + p
x = (Rq + p)/(a - Rb)
The pH scale measures how acidic or basic a substance is. Lemon juice is said to have a pH of less than 4 and greater than 1.5. Model the normal range of pH values of lemon juice, using a compound inequality.
1.5 > x > 4
1.5 < x < 4
1.5 ≤ x ≤ 4
1.5 ≥ x ≥ 4
Answers
The normal range using a compound inequality is 1.5 < x < 4
How to model the normal range using a compound inequality.From the question, we have the following parameters that can be used in our computation:
pH values less than 4
pH values greater than 1.5
Represent the pH values with x
Using the above as a guide, we have the following:
x is less than 4
x is greater than 1.5
When represented as inequality, we have
x < 4 and x > 1.5
Combine the inequalities
1.5 < x < 4
Hence, the normal range is 1.5 < x < 4
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A survey is taken among customers of a fast-food restaurant to determine preference for Hamburger and Cheeseburger. Of 180 respondents selected 90 were children and 90 were adults. 120 preferred Hamburger and 60 Cheeseburger. 40 of children preferred Hamburger. We randomly choose an individual. What is the probability this individual is a child? If the chosen person is an adult, what is the probability to prefer Cheeseburger? What is the probability to be a child or to prefer Cheeseburger?
a.1/2, 1/9, 5/9
b.1/2, 1/9, 5/18
c.1/3, 1/2, 1/9
d.1/2, 1/2, 5/18
e.1/2, 1/2, 5/9
If you can show me the solve step by step, thanks a lot
Answers
Using it's concept, it is found that the probabilities are given as follows:
a.1/2, 1/9, 5/9.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, 90 out of 180 individuals are children, hence the probability is given by:
p = 90/180 = 1/2.
Out of 90 adults, 60 - 50 = 10 preferred cheeseburgers, hence the probability is given by:
p = 10/90 = 1/9.
Of the 180 individuals, 90 are children, and 10 are adults who prefer cheeseburgers, hence the probability is given by:
p = 100/180 = 10/18 = 5/9.
Hence option a is correct.
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13. River claims that he can write two different proportions to find x. What are the two proportions?
Answers
16/x=12/9 is the proportional equation to find the value of x and the value of x is 12.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
The bases and hypotenuse of the triangle are in proportion.
16/x=12/9 is one method to find the value of x
16×9=12x
144=12x
Divide both sides by 12
x=12
The other proportional equation is x/9=16/12
12x=144
x=12
Hence,16/x=12/9 is the proportional equation to find the value of x and the value of x is 12.
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Kai and Finley were studying together for their exams the
following day. They had planned to spend the entire two days
after the exams hiking to a log cabin on the Winslow trail. The trail
was closed on Mondays, Wednesdays, and weekends.
On which day of the week was their exam scheduled?
Answers
Their exam must have been scheduled on Wednesday, allowing them to start hiking on Thursday after the exams.
How to determine which day of the week was their exam scheduledTo determine the day of the week on which Kai and Finley's exam was scheduled, we need to consider the information provided about the trail being closed on Mondays, Wednesdays, and weekends.
If they had planned to hike to the log cabin for two days after the exams, and the trail is closed on weekends, it means they cannot start hiking on Saturday or Sunday.
Since they cannot start hiking on Saturday or Sunday, the two possible options for the exam day would be Monday or Wednesday, as they have not specified whether the hike starts immediately after the exams or the day after.
However, we can conclude that their exam was not scheduled on Monday, as the trail is closed on Mondays, and they had planned to hike immediately after the exams.
Therefore, their exam must have been scheduled on Wednesday, allowing them to start hiking on Thursday after the exams.
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The perimeter of the TCL 3-Series Roku Smart TV is 112 inches. The width of the TV is 16 inches greater than its height. Find the width and the height of the TV.
Answers
Answer: Height = 20 inches, Width = 36 inches
Step-by-step explanation:
Let the height be \(h\) and the width be \(h+16\).
Using the formula for the perimeter of a triangle,
\(2(h+h+16)=112\\\\2(2h+16)=112\\\\2h+16=56\\\\2h=40\\\\h=20 \implies h+16=36\)
Determine the measure of the third angle in a triangle when the other two angles total 165 degrees.
Answers
Answer:
15
Step-by-step explanation:
180-15
Hello!
the sum of the angles in the triangle = 180°
so the 3rd angle = 180° - 165° = 15°
The answer is 15°How can I find the area for a semi circle that is 11 inches tall, 4.8 inches wide and 3.7 feet long (if I’m not making to much sense, I have a reference photo here)
Answers
Answer:
195.36
Step-by-step explanation:
11 x 4.8 =52.8
52.8 x 3.7 = 195.36
A=195.36
What is the meaning of "\( \varphi (x,y)\) be \( y\wedge \phi (x)\) "?
![What is the meaning of "[tex] \varphi (x,y)[/tex] be [tex] y\wedge \phi (x)[/tex] "?](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/IEnaK9Mnw3ftGn7VoWymvKjzqCukNTp6.png)
Answers
The given passage provides a proof that the Separation Axioms follow from the Replacement Schema.
The proof involves introducing a set F and showing that {a: e X : O(x)} is equal to F (X) for every X. Therefore, the conclusion is that the Separation Axioms can be derived from the Replacement Schema.In the given passage, the author presents a proof that demonstrates a relationship between the Separation Axioms and the Replacement Schema.
The proof involves the introduction of a set F and establishes that the set {a: e X : O(x)} is equivalent to F (X) for any given set X. This implies that the conditions of the Separation Axioms can be satisfied by applying the Replacement Schema. Essentially, the author is showing that the Replacement Schema can be used to derive or prove the Separation Axioms. By providing this proof, the passage establishes a connection between these two concepts in set theory.
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On their most recent 8-mile training run, Pepe averaged a speed of 12 of a mile in 4.5 minutes, while Paula averaged 34 of a mile in 7.5 minutes.
How many minutes did it take the faster runner to finish the 8 mile run
Answers
Answer:
1.78 min
Step-by-step explanation:
so first you have to figure out the fastest runner
pepe 12 miles in 4.5 minutes
and paula ran 34 miles in 7.5 minutes
if you divide miles by minutes you get how many miles they ran in one minute
12/4.5=~2.67
34/7.5=~4.53
So you can see that paula is faster
if she ran ~4.5 miles in a minute then it would take her ~1.78 minutes to run 8 miles
they're both super humans though like woah