PLEASE HELP DUE SOON!!!
The volume of blocks = 27n³cm3.
volume of the cube box = 216n⁹ cm3.
Solution:Here given,
6n³cm is the length of the cube-shaped box's side.
3n cm is the side length of the cube-shaped blocks.
We must calculate the volume of the box and the blocks.
The formula for cube volume is,
S³ = V
where s is the cube's side length
by substituting the values,
(6n³)³ cm3 box volume
= 216 n⁹ cm³
(3n)³ cm3 is the volume of the blocks.
= 27n³ cm³
As a result, the volume of the blocks is 27n³cm3 and the volume of the box is 216 n⁹ cm³.
To learn more about volume of cube refer to :
https://brainly.com/question/19891526
#SPJ13
Answer:
A) Volume of one block = 27n³ cm³
Volume of the box = 216n⁹ cm³
B) 8n⁶ blocks will fit in one box.
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{4 cm}\underline{Volume of a cube}\\\\$V=s^3$\\\\where:\\ \phantom{ww}$\bullet$ $V$ is the volume. \\\phantom{ww}$\bullet$ $s$ is the side length.\\\end{minipage}}[/tex]
Part AThe side length of the cube-shaped block is 3n cm.
Substitute the given side length into the formula to find the volume of the block:
[tex]\begin{aligned}\implies \textsf{Volume of one block}&=(3n)^3\\&=3^3 \cdot n^3\\&=27n^3\;\sf cm^3\end{aligned}[/tex]
The side length of the cube-shaped box is 6n³ cm.
Substitute the given side length into the formula to find the volume of the box:
[tex]\begin{aligned}\implies \textsf{Volume of one box}&=(6n^3)^3\\&=6^3 \cdot (n^3)^3\\&=216n^9\; \sf cm^3\end{aligned}[/tex]
Part BTo find the number of blocks that will fit in the box, divide the volume of the box by the volume of one block:
[tex]\begin{aligned}\implies \textsf{Number of blocks}&=\dfrac{\textsf{Volume of box}}{\textsf{Volume of block}}\\\\& = \dfrac{216n^9}{27n^3}\\\\&=\dfrac{216}{27} \cdot \dfrac{n^9}{n^3}\\\\&=8 \cdot n^{9-3}\\\\&=8n^6\end{aligned}[/tex]
Find the slope between these two points:
(3, 0), (-11, -15)
Answer:
Slope = (15/14)
Step-by-step explanation:
(3, 0), (-11, -15)
(x₁, y₁) (x₂, y₂)
y₂ - y₁ -15 - 0 -15 15
m = ------------ = ----------- = ----------- = ---------
x₂ - x₁ -11 - 3 -14 14
I hope this helps!
HELP PLS ITS DUE TONIGHT
Answer:
1. 12
2. 4:5
3. 5
4. 30
5. 42
6. 15
7. 36
8. 1120
9. 10 2/3
Step-by-step explanation:
Answer:
In photo
Step-by-step explanation:
What does dilation mean,
Answer: Dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller.
Answer: a transformation, which is used to resize the object
Step-by-step explanation:
the shape changes size but not shape
solve the following problems by writing a proportion. a) what is 70% of 4b) 5 is what percent of 20?
We have in a) that
[tex]\begin{gathered} 70\cdot\text{ }\frac{4}{100}\text{ = }\frac{\text{70 }\cdot\text{ 4}}{100} \\ =\text{ 2.8} \end{gathered}[/tex]So the answer for a) is 2.8
Now in b) we have that
[tex]5\cdot\text{ }\frac{100}{20}\text{ = 25}[/tex]So the answer for b) is 25%.
The vertices of Triangle FGH are F(-4, -5), G(-3, -2), and H(-1, -3). What are F’G’H’ for a dilation by scale factor of 1/2?
The coordinates of the triangle FGH after dilating by 1/2 is F'(-2, -5/2), G'(-3/2, -1), and H'(-1/2, -3/2)
How to determine the coordinates of FGH after the dilation?From the question, the given parameters are the vertices of Triangle FGH
The vertices are represented as
F(-4, -5), G(-3, -2), and H(-1, -3).
Also, from the question, we have
The scale factor of dilation is
k = 1/2
The above implies that
k represents the scale factor of dilation
The coordinates after the dilation is calculated as
Image of dilation = Vertices of the triangle x Scale factor
Substitute the known values in the above equation
So, we have
Image of dilation = [F(-4, -5), G(-3, -2), and H(-1, -3)] x 1/2
Evaluate the products
So, we have
Image of dilation = F'(-2, -5/2), G'(-3/2, -1), and H'(-1/2, -3/2)
Hence, the image after the dilation is F'(-2, -5/2), G'(-3/2, -1), and H'(-1/2, -3/2)
Read more about dilation at
https://brainly.com/question/3457976
#SPJ1
If F, G, and H are the midpoints of the sides of triangle JKL, FG=37, KL=48, and GH=30, find each measure. FH=, JL=, KJ=, FJ=
DCM, this is the solution:
According to the midpoint theorem, the line connecting the midpoints of two sides is parallel to the third and its length is half of the third side.
Therefore,
KJ = 2 * GH
KJ = 2 * 30
KJ = 60 and FJ = 30
JL = 2 * FG
JL = 2 * 37
JL = 74
Translate this sentence into an equation.68 is the product of Diane's score and 4.Use the variable d to represent Diane's score.
68 = Diane's score x 4
Equation
68= 4d
___________________
Can you see the updates?
_________________
Diane's score
4d= 68
d= 17
help please!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
Since City a is an equation, you would have to solve it for its population, which is 280000, and since City B is 1,620,000 and City C is double city B, 3,240,000/280000 would get you the population, which is:
11.57, you would round up after that, which would get you the answer:
12
two students each use a random number generator to pick an integer between 1 and 8 inclusive. what is the probability that they pick the same number? (enter your answer as a fraction.)
The probability that they pick the same number is 1/8.
What is probability?
The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
As given two students each use a random number generator to pick an integer between 1 and 8 inclusive.
So, the possible choices are,
8 - 1 + 1 = 8 Possible choices: 1, 2, 3, 4, 5, 6, 7, 8.
So, the probability is, 1/8.
Therefore, the probability that they pick the same number is 1/8.
To know more about the probability, click on the link
https://brainly.com/question/24756209
#SPJ4
At a restaurant, Elena wants to leave a tip that is 15% of the bill B plus $1. Which linear model best describes the total T?
Answer:
The total T can be described as
[tex]T = (B+(B*.15))+1[/tex]
The right triangle on the right is a scaled copy of the right triangle on the left. Identify the scale factor. Express your answer as a whole number or fraction in simplest form. 5 12 4 5/3
The dimensions of the left triangle are equal to the right triangle's dimensions times 1/3.
Given,
The right triangle on the right is a scaled copy of the right triangle on the left.
The measure of first triangle = 3,4
The measure of second triangle = 2, 3/2
We have to find the scale factor
The figure indicates that the right triangle on the left would be three times larger than the right triangle on the right. In this case, the right triangle's dimension is one third of the left triangle's dimension.
The left one is three times bigger than the right one. In other words, the dimensions of the left triangle are equal to the right triangle's dimensions times 1/3.
Learn more about scale factor here;
https://brainly.com/question/21991506
#SPJ1
A recent survey showed that 73% of elementary school students have a pet. What is the ratio of students who have a pet to students who do not have a pet?
Answer:
73 : 27
Step-by-step explanation:
You want the ratio of students that have a pet to students that don't have a pet, given that 73% of students have a pet.
No petIf 73% of students have a pet, then the remaining 100% -73% = 27% of students do not have a pet.
RatioThe ratio of students who have a pet to students who don't have a pet is then ...
(have a pet) : (don't have a pet) = 73% : 27% = 73 : 27
According to a recent survey, 73% of elementary school students have a pet, making the ratio of students with pets to those without pets 73:27.
What is ratio?A ratio in mathematics demonstrates how many times one number is present in another. For instance, if a bowl of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six. The ratio of oranges to the total amount of fruit is 8:14, and the ratio of lemons to oranges is 6:8.
What is percent?In essence, percentages are fractions with a 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100).
You want the ratio of students that have a pet to students that don't have a pet, given that 73% of students have a pet.
If 73% of students have a pet, then the remaining 100% -73% = 27% of students do not have a pet.
The ratio of students who have a pet to students who don't have a pet is then,(have a pet) : (don't have a pet) = 73% : 27% = 73 : 27
A recent survey found that 73% of elementary school students own a pet, making the proportion of students who own pets to those who don't stand at 73:27.
To know more about ratio,
https://brainly.com/question/13419413?referrer=searchResults
#SPJ13
Elias has a collection of 1,200 baseball trading cards. Of these cards, 35% are from the American League, 45% are from the National League, the rest are international players. How many trading cards are of international players?
Answer:
240 trading cards
Step-by-step explanation:
20% of 1200 = .2 × 1200 = 240
Which of the following variable expressions represents the phrase "five more than the quotient of a number x and eight"?
The variable expression is;
[tex]5\text{ + }\frac{x}{8}[/tex]Here, we want to select an option that represents the phrase
The quotient of a number x and 8 means that we divide x by 8
That means we have a fraction, with x as the numerator and 8 as the denominator
We have this as;
[tex]\frac{x}{8}[/tex]5 more than this quotient means that we are to add 5 to the result
We have this as;
[tex]5\text{ + }\frac{x}{8}[/tex]Draw a reference triangle and find the trig ratio for the angle (if possible) without a calculator.
Recall the definition of the cosecant function in terms of the sine function:
[tex]\csc (x)=\frac{1}{\sin (x)}[/tex]Draw the angle -210º in the unit circle to find a reference triangle for that angle:
Notice that a 30-60-90 triangle is formed:
Since the side opposite to the 30º angle has a length of 1/2, then:
[tex]\sin (30º)=\frac{1}{2}[/tex]On the other hand, notice that since the angle of -210º lies in the second quadrant, then the value of sin(-210º) is positive:
[tex]\sin (-210º)=\sin (30º)=\frac{1}{2}[/tex]Use the definition of the cosecant function to find csc(-210º):
[tex]\csc (-210)=\frac{1}{\sin (-210º)}=\frac{1}{(\frac{1}{2})}=2[/tex]Therefore, the value of csc(-210º) is equal to 2.
Help please! Some friends go to an amusement park in one car. They must pay a 6.00 parking fee plus 29.99 per person for tickets. The algebraic equation is C=6.00+29.99. Use the equation to calculate the number of tickets purchased for the group if the total cost was 215.93. Show all work
Answer:
7 # there were 7 people in the group
Step-by-step explanation:
C = 6.00 + 29.99x # the equation given
215.93 = 6.00 + 29.99x # 215.93 is the total so substitute it for C. Now we solve for x
209.93 = 29.99x # We subtracted 6 from both sides
7 = x # We divided 29.99 from both sides
7 is our answer
parents have raised major concerns over a school district's proposed experiment to examine the effectiveness of removing math tracks and instead placing all students into one open math class. in response, the school district has decided not to randomly assign students to be placed in tracked or non-tracked math classes. instead, the school district will allow parents to decide whether they want their children to be in the tracked or non-tracked group. which methodological problem is very likely under this scenario? g
Since the school district will allow parents to decide whether they want their children to be in the tracked or non-tracked group, the type of design that the school district has implemented is a. matched design.
What is a matched design?
A matched group design is an experimental layout where the study subjects are selected because their variables match.
Therefore, In a matched pairs design, study participants are matched according to important variables or shared traits that are pertinent to the study's subject. The second step involves assigning one member of each pair to the control group and the other to the experimental group.
Learn more about matched design from
https://brainly.com/question/2515299
#SPJ1
See full question below
Parents have raised major concerns over a school district's proposed experiment to examine the effectiveness of removing math tracks and instead placing all students into one open math class. In response, the school district has decided not to randomly assign students to be placed in tracked or non-tracked math classes. Instead, the school district will allow parents to decide whether they want their children to be in the tracked or non-tracked group.
which methodological problem is very likely under this scenario
Select one:
a. matched design
b. pre-post design
c. nonequivalent comparison design
d. multiple time-series design
A coffee shop is having a sale on prepackaged coffee and tea. Yesterday they sold 11
packages of coffee and 50 packages of tea, for which customers paid a total of $288. The day
before, 12 packages of coffee and 38 packages of tea was sold, which brought in a total of
$248. How much does each package cost?
The most appropriate choice for Simultaneous linear equation will be given by -
8 packages of coffee and 4 packages of tea are sold.
What is simultaneous linear equation?
At first it is important to know about linear equation
Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.
A one degree equation is known as linear equation.
Two or more linear equations, which can be solved together to obtain common solution are known as simultaneous linear equation.
Here,
A coffee shop sold 11 packages of coffee and 50 packages of tea, for which customers paid a total of $288
So,
11x + 50y = 288 ...............(1)
The day before, 12 packages of coffee and 38 packages of tea was sold, which brought in a total of $248
So,
12x + 38y = 248
2(6x + 19y) = 248
6x + 19y = [tex]\frac{248}{2}[/tex]
6x + 19y = 124 ....................(2)
Multiplying (1) by 6 and (2) by 11,
66x + 300y = 1728
66x + 209 y = 1364
Subtracting above two equations,
91 y = 364
[tex]y = \frac{364}{91}[/tex]
y = 4
Putting the value of y in (2),
6x + 19[tex]\times[/tex]4 = 124
6x + 76 = 124
6x = 124 - 76
6x = 48
[tex]x = \frac{48}{6}\\x = 8[/tex]
8 packages of coffee and 4 packages of tea are sold.
To learn more about simultaneous linear equation, refer to the link:
https://brainly.com/question/26310043
#SPJ9
The most appropriate choice for Simultaneous linear equation will be given by -
8 packages of coffee and 4 packages of tea are sold.
What is simultaneous linear equation?
At first it is important to know about linear equation
Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.
A one degree equation is known as linear equation.
Two or more linear equations, which can be solved together to obtain common solution are known as simultaneous linear equation.
Here,
A coffee shop sold 11 packages of coffee and 50 packages of tea, for which customers paid a total of $288
So,
11x + 50y = 288 ...............(1)
The day before, 12 packages of coffee and 38 packages of tea was sold, which brought in a total of $248
So,
12x + 38y = 248
2(6x + 19y) = 248
6x + 19y =
6x + 19y = 124 ....................(2)
Multiplying (1) by 6 and (2) by 11,
66x + 300y = 1728
66x + 209 y = 1364
Subtracting above two equations,
91 y = 364
y = 4
Putting the value of y in (2),
6x + 194 = 124
6x + 76 = 124
6x = 124 - 76
6x = 48
8 packages of coffee and 4 packages of tea are sold.
To learn more about simultaneous linear equation, refer to the link:
brainly.com/question/26310043
#SPJ9
A plumber charges a flat fee of 75 to visit a home and examine a clogged drain. The plumber charges an additional 22 per hour spent fixing the drain. The total cost, (in dollars), for fixing a drain that takes hours is given by the following.
The expression for the total cost is 75 + 22h
How to calculate the cost?From the information, the plumber charges a flat fee of 75 to visit a home and examine a clogged drain and also charges an additional 22 per hour spent fixing the drain.
Therefore, the amount that will be charged for each hour will be:
= 75 + (22 × h)
= 75 + 22h
where h = number of hours.
For example if the number of hours is 5 hours. This will be:
= 75 + 22h
= 75 + 22(5)
= 75 + 110
= 185
Your information was incomplete but an overview was given.
Learn more about cost on:
brainly.com/question/25109150
#SPJ1
Find the value of x and y. PLEASE EXPLAIN ;)
Answer: man
why bro
Step-by-step explanation:
If the mean weight of 3 outfielders on the baseball team is 192 lb and the mean weight of the 6 other players is 228 lb, what is the mean weight of the 9-person team?
Answer:
Step-by-step explanation:
If the mean weight of 3 outfielders on the baseball team is 194 lb and the mean weight of the 6 other players is 229 lb, what is the mean weight of the 9
Door prizes for entrants in a young inventors competition are $100, $50, $25 and $10. In how many ways can the door prizes be awarded if there are 23 entrants?.
There are 212 520 ways that the door prizes can be awarded if there are 23 entrants
To solve this problem the formula and the permutation procedure we must use is:
nPr = n! / (n-r)!
Where:
nPr = permutationn = total number of objectsr = number of selected objects! = factorial of the numberInformation about the problem:
n = 23 (entrants)r = 4 (prizes )23P4 =?Applying the permutation formula we have:
nPr = n! / (n-r)!
23P4 = 23! / (23-4)!
23P4= 23! / 19!
23P4 = 23*22*21*20*19! / 19!
23P4 = 23*22*21*20
23P4 = 212520
What is permutation?It is the ordered arrangement of members belonging to a set with no repeats.
Learn more about permutation at: brainly.com/question/1216161
#SPJ4
The impact of new entrants, new products, channel conflicts, and regulation would all be associated with the external opportunities and threats dimension of a SWOT website design analysis.
In summary, the impact of new entrants, new products, channel conflicts, and regulation are all factors that fall under the external opportunities and threats dimension of a SWOT website design analysis. 1. New entrants: When new companies enter the market offering similar website design services, it can increase competition and potentially affect the market share of existing website design businesses. This is an external threat as it poses challenges and risks to the current players in the industry. 2. New products: The introduction of new and innovative website design products can create opportunities for businesses to attract more customers and gain a competitive edge. This is an external opportunity that can be leveraged to improve market position.
3. Channel conflicts: Channel conflicts refer to conflicts or disputes that arise between different distribution channels. In the context of a SWOT analysis for website design, channel conflicts can impact how products and services are delivered to customers. For example, if a website design company relies heavily on a specific distribution channel and that channel experiences conflicts or disruptions, it can affect the company's ability to reach its target market. This is an external threat that needs to be considered.
4. Regulation: Regulations imposed by governing bodies can have a significant impact on website design businesses. For example, regulations related to data privacy, accessibility, or internet governance can affect how websites are designed and operated. Compliance with regulations is crucial to avoid penalties or legal issues. This is an external threat that businesses need to navigate.
To know more about entrants Visit:
https://brainly.com/question/28943131
#SPJ11
Triangle ABC is congruent to triangle XYZ. In AABC, AB = 12 cm and AC = 14 cm. In AXYZ, YZ = 10 cm and XZ = 14
!
cm.
What is the perimeter of AABC?
O 36 cm
O 38 cm
О 40 cm
• 50 cm
The perimeter of the triangle ABC is 36 cm. Then the correct option is A.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees. If two triangles are similar, then the ratio of the corresponding sides will remain one.
Triangle ABC is congruent to triangle XYZ. In AABC, AB = 12 cm and AC = 14 cm. In AXYZ, YZ = 10 cm and XZ = 14 cm.
AB = XY = 12 cm
BC = YZ = 10 cm
AC = XZ = 14 cm
Then the perimeter of the triangle ABC is given as,
P = 12 + 10 + 14
P = 36 cm
The perimeter of the triangle ABC is 36 cm. Then the correct option is A.
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ1
a political candidate has asked you to conduct a poll to determine what percentage of people support her. a) suppose the candidate believes that the percentage that support her is approximately 73%. if we want a 6% margin of error at a 94% confidence level, what size sample is needed?
The sample size needed will be equal to n = 149.
The (1 - α)% confidence interval for population proportion is given by
CI = p ± z(α/2)√p (1 - p)/n
The margin of error will be given as
MOE = z(α/2)√p (1 - p)/n
We know that approximately 73% people support the candidate and margin of error is 0.06.
The critical value of z for confidence level 94% is given by z = 1.65. Now, using the formula of Margin of Error.
MOE = z(α/2)√p (1 - p)/n
n = [z(α/2)√p (1 - p)/MOE]²
n = [1.65√0.73 (1 - 0.73)/0.06]²
n = 148.84
n = 149 approximately which is the required sample size.
Learn more about Margin of error at:
brainly.com/question/17022509
#SPJ4
Use substitution to find the solution to the linear/quadratic system. y - 2x^2 = 4x + 1 y = 14x - 7 Blank 1: (___7) Blank 2: (___49) Blank # 1:Blank # 2:
The given system is
[tex]\mleft\{\begin{aligned}y-2x^2=4x+1 \\ y=14x-7\end{aligned}\mright.[/tex]Let's replace the second equation with the first one.
[tex]14x-7-2x^2=4x+1[/tex]Now, we solve the quadratic equation.
[tex]\begin{gathered} 14x-7-2x^2-4x-1=0 \\ -2x^2+10x-8=0 \\ -2(x^2-5x+4)=0 \\ x^2-5x+4=0 \end{gathered}[/tex]Then, we have to find two numbers whose product is 4 and whose sum is 5. Those numbers are 4 and 1.
[tex]\begin{gathered} (x-4)(x-1)=0 \\ x_1=4 \\ x_2=1 \end{gathered}[/tex]We use these values to find y.
[tex]\begin{gathered} y_1=14\cdot4-7=49 \\ y_2=14\cdot1-7=7 \end{gathered}[/tex]Hence, the solutions to the given system are (4,49) and (1,7).
HELPO PLSS
16. A snack mix contains toasted oat cereal,
pretzels, and nuts in a ratio of 2:2:1 by
mass. What mass of each ingredient is
needed to make the following amounts of
snack mix?
a) 330 g
b) 210 g
c) 500 g
d) 750
Answer:
a) 132 g oat cereal, 132 g pretzels, 66 g nuts
b) 84 g oat cereal, 84 g pretzels, 42 g nuts
c) 200 g oat cereal, 200 g pretzels, 100 g nuts
d) 300 g oat cereal, 300 g pretzels, 150 g nuts
Step-by-step explanation:
a) 330 = 5x
x=66
132 oat cereal
132 pretzels
66 nuts
(And repeat for all masses)
:] Tell me if this is incorrect!
(Brainliest would help a lot lol)
X 2 4 6 8 10
Y 1, 3, 5 , 7, 9
(a) Is it a function?
(b) Domain:
(c) Range:
Answer:B
Step-by-step explanation:
Evaluate the expression. Explain your process. 3x+2. for x=4
Answer:
14
Explanation:
To evaluate the expression, we need to replace x by 4. So, the expression is equal to:
3x + 2
3(4) + 2
12 + 2
14
Therefore, the value of the expression is 14
is -3.5 greater than 17/5
Answer:
no
Step-by-step explanation:
- 3.5 is a negative number.
17/15 is a positive number.
Note : -
Always positive numbers are greater than negative numbers.
