Answer:
2.2 × 10³ mm³
Step-by-step explanation:
We have a triangular prism with the following dimensions:
Altitude: 20.5 millimeters
Base: 16 millimeters
Height: 13.3 millimeters
We can calculate the volume of a triangular prism using the following expression.
V = (1/2 × Altitude × Base) × Height
where,
(1/2 × Altitude × Base) is the area of the base
V = (1/2 × Altitude × Base) × Height
V = (1/2 × 20.5 mm × 16 mm) × 13.3 mm = 2.2 × 10³ mm³
Can you please help me? (Don’t mind the hearts)
angle 3 = 127°.
I hope this may be helpful
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match the values with the statistical measures for these data points.
34, 37, 39, 32, 48, 45, 53, 62, 58, 61, 60, 41
46.5
62
60
34
59
32
48
38
upper quartile
minimum
lower quartile
maximum
median
Hello, I Am BrotherEye
Answer:
Median = 46.5
Minimum = 32
Maximum = 62
Lower quartile = 38
Upper quartile = 59
Step-by-step explanation:
Before we can proceed to solving any of these, it is best you arrange your data first from least to greatest
32 34 37 39 41 45 48 53 58 60 61 62
First we have the median. The Median is the middle value. In this case we an even number of data, which is 12 data points. The middle value of the data would be found in between the 6th and 7th data point:
45 and 48
To get the middle value, you need to solve for the value that is in the middle of 45 and 48 by getting the sum of both numbers and dividing it by two.
45 + 48 = 93
93 ÷ 2 = 46.5
The minimum and maximum value is merely the least and greatest number.
Here we have:
Minimum = 32
Maximum = 62
To get the lower and upper quartiles, just remember that quartiles divide the data into 4 equal parts. All you need to do is find the value that is in between each quarters of the data:
Q1 (Lower) Q2(Median) Q3(Upper)
32 34 37 | 39 41 45 | 48 53 58 | 60 61 62
Like the median, we will find the value that comes in between each quarter.
Q1
37 + 39 = 76
76 ÷ 2 = 38
Lower quartile = 38
Q3:
58 + 60 = 118
118 ÷ 2 = 59
Upper quartile = 59
Answer:
median - 46.5
Lower quartile - 38
Upper quartile - 59
Maximum - 62
Minimum - 32
Step-by-step explanation:
these are the correct matches for this answer, I got this correct on edmentum
42 32 30 32 一 44 36 45 43 What is the median of this set of data?
Answer:
the first one=0
the second one=1
Divide. Give the quotient and remainder.
33 - 8
:))))
A bank is offering 3.5% simple interest on a savings account. If you earned $525 in interest
in 2 years, how much did you deposit in the savings?
O $7,500
O $8,000
O $7.250
$7.000
Answer:
$7500
Step-by-step explanation:
Given
[tex]I = 525[/tex]
[tex]R = 3.5\%[/tex]
[tex]T =2[/tex]
Required
The Principal
This is calculated using:
[tex]I =PRT[/tex]
Make P the subject
[tex]P = \frac{I}{RT}[/tex]
So, we have:
[tex]P = \frac{525}{3.5\% * 2}[/tex]
[tex]P = \frac{525}{7.0\%}[/tex]
[tex]P = 7500[/tex]
is 2 a solution to the equation 1/2 x 4 = 5 ?
Answer:
yes it is good luck with your work
1
Write an equation for the linear
relationship shown below.
4
1
6
7
8
13
10
19
Answer:
[tex]\bold{y=3x-11}[/tex]
Step-by-step explanation:
Begin with the equation [tex]y=mx+b[/tex]. Let's first find [tex]m[/tex].
For each time [tex]x[/tex] increases by 2 (the rows skip by 2), [tex]y[/tex] increases by 6. Since the relationship is linear, if [tex]x[/tex] were to increase by just 1 (half of 2), [tex]y[/tex] would increase by 3 (since we halve each component). Therefore, [tex]m=3[/tex].
To find [tex]b[/tex] (the y-intercept), we plug in the first value of [tex]x[/tex] we are given and notice the result. In this case, [tex]4 *3=12[/tex]. However, the first value of [tex]y[/tex] is 1, so we must subtract 11 so that the first term is 1. Hence, [tex]y=3x+11[/tex].
1. The ages of customers at a store are normally distributed with a mean of 45 years and a standard deviation of 13.8 years.
(a) What is the z-score for a customer that just turned 25 years old? Round to the nearest hundredth.
(b) Give an example of a customer age with a corresponding z-score greater than 2. Justify your answer.
Part (a)
The raw score is x = 25. The mean and standard deviation are mu = 45 and sigma = 13.8 respectively.
The z score is computed with the formula below
z = (x-mu)/sigma
z = (25-45)/13.8
z = -1.449275 approximately
z = -1.45 is the final answer
========================================================
Part (b)
We want the z score to be larger than 2. So z > 2.
This is the same as wanting the expression (x-mu)/sigma to be larger than 2
(x-mu)/sigma > 2
(x-45)/13.8 > 2
x-45 > 2*13.8
x-45 > 27.6
x > 27.6+45
x > 72.6
If a customer's age is greater than 72.6 years, then this means they have a z score greater than 2. We can say they are more than 2 standard deviations above the mean.
If you need a whole number, then I'd round up to 73. Or you could pick any age larger than this.
Write 2 1/6
feet as a
single fraction greater than one.
Answer:
13/6
Step-by-step explanation:
2 x _/6 = 12/6, then add 1/6 and you have 13/6
Select the correct answer. Which function is represented by this graph
Answer:
A
Step-by-step explanation:
the point is at positive 8 and none of the other answers have positive 8
1. At a summer job, Melissa fixes computers for small businesses. She charges a $30 fee to start a job and $15 per hour for each hour she spends on the job Use the values in this problem bo complete the inequality to represent the number of hours she needs to work on one computer to make at least $90. The number of hours worked is represented by t +
Find the area and explain how you did it
figure is shown.
What is the measure, in degrees, of
HELP WITH THIS ASAP!
Answer:
Hi, there your answer will C. 85pi ft^2
Step-by-step explanation:
pi(5)(12)+pi(5)^2
60pi+25pi
85pi ft^2
Hope this helps :)
y = 3•2^x+1 +2
Graph the equation
State the domain and range
State the asymptote
Answer: look at the picture
Step-by-step explanation: Hope this help :D
How do slope angle relate to delta y
Answer:
"The slope and y-intercept values indicate characteristics of the relationship between the two variables x and y. The slope indicates the rate of change in y per unit change in x. The y-intercept indicates the y-value when the x-value is 0."
https://education.ti.com/html/t3_free_courses/calculus84_online/mod02/mod02_lesson3.html#:~:text=The%20slope%20and%20y%2Dintercept%20values%20indicate%20characteristics%20of%20the,the%20x%2Dvalue%20is%200.
Step-by-step explanation:
In a certain video game, players can create environments and populate them with a variety of characters. One player creates a magical park in which the unicorn population triples each day. The starting unicorn population is 8. What will the unicorn population be after the 4th day?
Answer:
2048 I think
Step-by-step explanation: 8 to the power of 3 times 4
Katelyn and Christina are going to plant a garden together. Katelyn can plant the garden working alone in 10 hours. Together it takes them 6 hours. How long would it take Christina to plant this garden working alone?
Answer:
The answer is 12 hours
A radioactive substance with initial value of 800g decays according to the exponential model A= 800e^(kt). After 10 years, only 400g of the substance remains. Find the value of k. Round your answer to the nearest thousandth. NO LINKS!!!!
Answer:
k ≈ - 0.069
Step-by-step explanation:
Given
A = 800 [tex]e^{kt}[/tex]
Substitute A = 400 and t = 10 into the equation
400 = 800 [tex]e^{10k}[/tex] ( divide both sides by 800 )
0.5 = [tex]e^{10k}[/tex] ( take the ln of both sides )
ln [tex]e^{10k}[/tex] = ln0.5
10k lne = ln0.5 [ lne = 1 ]
10k = ln 0.5 ( divide both sides by 10 )
k = [tex]\frac{ln0.5}{10}[/tex] ≈ 0.069 ( to the nearest thousandth )
Answer:
Step-by-step explanation:
400 = 800 * e^(k*t)
What are the units of t? I'm taking it as years.
Divide by 800
400/800 = e^(k*10)
1/2 = e^(k*10)
ln(1/2) = ln(e)^(k*10)
ln(1/2) = k*10 * ln(e)
ln(e) = 1
-0.69314 = k*10
-0.069314 = k
Check
A = 800 e^(-0.069314*10)
A = 800 e^(-0.69314)
A = 800 * 0.50000359
A = 400.0028722
Which is close enough to 400
Jovi distributed 3(n+2) and got 3 x n + 3 x 6 is his answer correct
Answer:
Step-by-step explanation:
since 3 is outside the parenthesis (n + 2) you multiply the 3 by the n and the 2 and
3n + 6
next subtract the 6 and add the 6 to the other side
3n - 6 = 6
3n = 6
n = 2
36 x 2 = 9 x blank x
Answer:
x = 8
Step-by-step explanation:
36 × 2 = 9 × x
72 = 9x
9x = 72
9x ÷ 9 = 72 ÷ 9
x = 8
Can someone help me with this part A: Members of a high school sports team are selling two popular items for a fundraiser:
candy bars and bags of chips. They earn $0.75 for every candy bar they sell and $0.50 for every
Dag of chips. The members want to earn at least $100 from all sales. The members of the sport
team estimate that they won't be able to sell more than 200 units in total.
Part A: Select all the inequalities that model the constraints for this situation, where x
represent the number of candy bars sold and y represent the number of bags of chips.
A. x 20
B. y20
C. x +y s 100
D. x + y < 200
E. 0.75x + 0.50y
100
F. 0.50x + 0.75y > 100
An
Step-by-step explanation:
Cx+y s 100
Answer:
All the inequalities that model the constraints for this situation:
(d) x + y < 200 ;
(e) 0.75 x + 0.50 y ≥ 100
Step-by-step explanation:
What is inequality ?A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
As, x represent the number of candy bars sold & y represent the number of bags of chips sold.
It is given that,
price for one candy bar = $0.75
also, price for one dag of chips = $0.50
So, price for 'x' candy bar = $0.75x
also, price for 'y' of chips = $0.50 y
Is is mentioned in question, the sale of candy bar and bag of chips shoud be atleast $100.
the First ineqaulity be,
0.75 x + 0.50 y ≥100
(which should the sales of candy baar and dag of chips be equal to 100 dollar or greater than 100 dollar)
Now, the second situation
Again, it is mentioned in the question is number of units (candy bar and dag of chips) should be not more than 200 units.
the second inequality be,
x+ y < 200
(which shows that number of candy bar and dag of chips should be less than 200 units.)
All the inequalities that model the constraints for this situation
(d) x + y < 200
(e) 0.75 x + 0.50 y ≥100
Learn more about inequalities here:
https://brainly.com/question/20383699
#SPJ2
2. Use the image to answer the questions.
(a) What is the center and the radius of the circle?
(b) What are the equations of the circle in graphing form and in general form? Show your work.
Answer:
Center = (-1, 1)
Radius = 3
Graphing form
(x + 1)² + (y - 1)² = 3²
General form
x² + y² + 2x - 2y - 7 = 0
Step-by-step explanation:
Center = (-1, 1)
Radius = 3
Graphing form
(x + 1)² + (y - 1)² = 3²
General form \Expand graphing form\
(x² + 2x + 1) + (y² - 2y + 1) - 9 = 0
Rearrange
x² + y² + 2x - 2y - 7 = 0
Oscar loves cheese burgers. He enters a 24 hour cheese burger eating contest. During the contest Oscar ests a cheese burger every 15 minutes. How many cheese burgers will he eat during the entire contest?
Answer:
Step-by-step explanation:
There is 60 min. in 1 hour. 60 ÷ 15 =4. 4×24 = 96
Write 18/n
as a verbal expression.
Answer:
18 divided by a N value
Step-by-step explanation:
help can somebody do this step by step I'm giving 100 points
The answer is 83 ;D
This exposition impractically catches the pith of New York City much superior to anything I will ever have the capacity to. As a Californian, I view New York as I envision a New Yorker in the Nineteenth Century would view California. The contemplation is practically outlandish. California is the boundlessness edged pool of a landmass. Its wide open meanders perpetually, forever of the open doors which it holds until the land drops into nothingness and the Pacific devours it.
New York then again, shouldn't exist. Many think of it as the zenith of human accomplishment, a mixture of humankind existing together with an enthusiastic feeling of a club, all living under the standard held high that drains, "New York." It is where ten million drums play to their own beat, yet all ring to a similar congruity.
Didion's involvement in the city echoes these tones. The city is undoubtedly a spot where a half year can transform into eight years, and a night out can transform into a marriage. Didion expressed, "It was an unendingly sentimental idea, the puzzling nexus of all affection and cash and power, the sparkling and short-lived dream itself."
This exposition goes about as Didion's adoration letter to the city, one that isn't composed starting with one captivated sweetheart then onto the next, yet rather as Socrates would keep in touch with Zeus in an incredible miracle of his god-like power. Didion sees New York as legendary Fate, culling and cutting the strings of life which would decide her way of presence. Didion drives home the thought that New York is a thought. It represents something. New York is synonymous with America.
Opportunity. Renewed opportunities. Acts of futility. It is the New Mesopotamia, the support of life held in its bin by the two streams which give it its separated liveliness. American contemporary articles endeavor to restore the sentimental nature which used to drive American writers like Whitman and Thoreau to compose, and she completes a magnificent activity of that. My inquiry is how does Didion's association with the city influence her life?
3) 40% of the class of 30 students are boys.
How many are girls?
Answer:
there 18 girls
Step-by-step explanation:
40% of 30 = 12
this means there are 12 boys
30-12 = 18
there 18 girls
The ratio of pants to shots that John has is 3:7. If John has 12 pairs of pants then how many pants and shorts does he have?
Answer:
John has 12 pairs of pants and 28 pairs of shorts.
Step-by-step explanation:
Given that the ratio of pants to shorts that John has is 3: 7, if John has 12 pairs of pants, to determine then how many pants and shorts does he have the following calculation must be performed:
(12/3) x 7 = X
4 x 7 = X
28 = X
Therefore, John has 12 pairs of pants and 28 pairs of shorts.
How do the angles and side lengths of the preimage relate to the corresponding angles and side lengths of the image of a dilation with a scale factor not equal to 1?
Answer:
The angles are proportional and the side lengths are proportional.
Step-by-step explanation:
Savaas Realize
Please help me. Photo provided