When Matthew noticed that the container was one fourth full of sand, the remaining volume quantity needed is 432 inches³.
How to calculate the volume?The container has the following dimensions. 12 in. by 8in. by 6in. Therefore, the volume will be:
= 12 × 8 × 6
= 576 inches.
Since Matthew noticed that the container was one fourth full of sand, the remaining quantity needed will be:
= 576 - (1/4 × 576)
= 576 - 144
= 432 inches³.
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Fundamental theorem of calculus
[tex]g(s)=\int\limits^s_6 {(t-t^4)^6} \, dt[/tex]
Answer:
[tex]\displaystyle g'(s) = (s-s^4)^6[/tex]
Step-by-step explanation:
The Fundamental Theorem of Calculus states that:
[tex]\displaystyle \frac{d}{dx}\left[ \int_a^x f(t)\, dt \right] = f(x)[/tex]
Where a is some constant.
We can let:
[tex]\displaystyle g(t) = (t-t^4)^6[/tex]
By substitution:
[tex]\displaystyle g(s) = \int_6^s g(t)\, dt[/tex]
Taking the derivative of both sides results in:
[tex]\displaystyle g'(s) = \frac{d}{ds}\left[ \int_6^s g(t)\, dt\right][/tex]
Hence, by the Fundamental Theorem:
[tex]\displaystyle \begin{aligned} g'(s) & = g(s) \\ \\ & = (s-s^4)^6\end{aligned}[/tex]
of the students at Wayland High School in
he first quarter, 48% made honor roll, 30%
had perfect attendance, and 25% both
made the honor roll and had perfect
attendance. If a student is chosen at
andom, what is the probability that they
have perfect attendance, given they made
he honor roll?
Using conditional probability, it is found that there is a 0.521 = 52.1% probability that they have perfect attendance, given they made he honor roll.
What is Conditional Probability?Conditional probability is the probability of one event happening, considering a previous event. The formula is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which:
P(B|A) is the probability of event B happening, given that A happened.[tex]P(A \cap B)[/tex] is the probability of both A and B happening.P(A) is the probability of A happening.In this problem, the events are:
Event A: Student made the honor roll.Event B: Student has perfect attendance.The probabilities are given by:
[tex]P(A) = 0.48, P(A \cap B) = 0.25[/tex]
Hence the conditional probability is given by:
[tex]P(B|A) = \frac{0.25}{0.48} = 0.521[/tex]
0.521 = 52.1% probability that they have perfect attendance, given they made he honor roll.
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Lincoln needs to order some new supplies for the restaurant where he works. The restaurant needs at least 682 spoons. There are currently 388 spoons. If each set on sale contains 8 spoons, which inequality can be used to determine x, the minimum number of sets of spoons Lincoln should buy?
Answer:
8x + 388 ≥ 682
Step-by-step explanation:
"The restaurant needs at least 682 spoons."...so we need 682 ore more
...What we already have + what we are going to order... ≥ 682
"There are currently 388 spoons. "
388 + ...what we are going to order... ≥ 682
Order has "each set on sale contains 8 spoons"...and , " x is the minimum number of sets "
388 + 8x ≥ 682
How do you solve the area
Select all expressions that are equivalent to x-5
Answer:
C. [tex]-5+x[/tex]
E. [tex]x+(-5)[/tex]
F. [tex]-5-(-12)[/tex]
Step-by-step explanation: Let's say we chose a random number to represent x I chose 12
Help me plss i don’t understand this
Answer:
See attached image, I vote for option A, but I agree it is a confusing question.
Step-by-step explanation:
See attached image.
a. Which cost category varies the least among the different types of colleges? Can you explain why this category varies so little?
b. Ignoring the "other expenses" category, the general trend is for all categories to cost more as you look down the chart from two-year public colleges to four-year private colleges. However, one category is an exception to this trend. Which category? Can you explain why?
The question indicated above speaks to expense analysis for anonymous colleges. See the details of the analyses below.
From the pictorial representation, which cost category varies the least among the different types of colleges?The cost category that varies the least amongst the various types of colleges is Books and supplies. Notice that at no point did it go below 1,097, nor above, 1,350.
The categories that do not cost more as one goes down the chart (apart from other expenses) are:
Books and supplies and Transportation.Books and supplies went from: $1,350 to $1,107, to 1,107, and then to 1097. Hence decreasing gradually over time.
Transportation also decreased over time starting out from $2,152, to $2,099, to 2,099 and then flatting out at $1,571.
It may be explained that the cost of books is on the decline as more and more people prefer online reading while the cost of transportation is declining as more and more students use their cars or vehicles to the college, hence driving down the cost of transportation.
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what is the digit 9 in 195,487
Answer:
90,000 is the answer to that question
Answer:
It is a number located in the tens of thousands whose value is 90,000.
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Thank you so much for participate in the community of Brainly.com
I hope help you :)
Kind regards, Antonio.
Question is in picture
I need help with a math problem.
Answer:
First of all, you need to give us the problem dum a
Step-by-step explanation:
.
The mZAOB is 40 degrees. The mZDOF is 120 degrees.
FIND THE FOLLOWING:
m
m
PLEASE HELP PLEASE HELP
13. Lorelei counted the faces on some three-dimensional figures. She found two figures with exactly 5 faces each. Which of two figures have exactly 5 faces each?
A. rectangular prism and triangular prism
B. rectangular pyramid and triangular pyramid
C. rectangular prism and triangular pyramid
D. rectangular pyramid and triangular prism
[tex] \\ [/tex]
Answer:D. Rectangular pyramid and triangular prism[tex]__________[/tex]
A. rectangular prism and triangular prism
Rectangular prism has 6 faces while triangular prism has 5 faces.B. rectangular pyramid and triangular pyramid
Rectangular pyramid has 5 faces while triangular pyramid has 4 faces.C. rectangular prism and triangular pyramid
Rectangular prism has 6 faces while triangular pyramid has 4 faces.D. rectangular pyramid and triangular prism
Both rectangular pyramid and triangular prism has exactly 5 faces.Therefore, the answer is D. Rectangular Pyramid and Triangular Prism.
Around which line would the following cross-section need to be revolved to create a sphere?
Options:
A: x = 1
B: y = 1
C: y axis
D: x = 2
i thought it was y axis but im not sure so i just want to make sure!!
Answer:
B y=1
Step-by-step explanation:
20 points please help me answer this
Answer:
171 Square Feet
Step-by-step explanation:
We first cut the figure up into smaller parts...
we then use the formula (L x W = A) to find the area
L = Lenth
W = Width
the first rectangle (1)...
15 x 5 = 75
the second figure (2)...
8 x 9 = 72
the third figure (3)...
6 x 4 = 24
now we have to add up all the values to find the area of the entire figure...
75 + 72 + 24 = 171
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!
A restaurant did a survey among 100 customers to find their food preferences. The customers were asked about their preferences for pasta or rice. Out of the total 30 people who liked pasta, 10 also liked rice. There were 40 people who liked rice.
Part A: Summarize the data by writing the values that the letters A to I in the table below represent. (5 points)
Like pasta Do not like pasta Total
Like rice A B C
Do not like rice D E F
Total G H I
Part B: What percentage of the survey respondents did not like either pasta or rice? (3 points)
Part C: Do the survey results reveal a greater dislike for rice or pasta? Justify your answer. (2 points)
Answer:Part A: Like pasta Do not like pasta TotalLike rice 10 30 40Do not like rice 20 40 60Total 30 70 100Part B: When we look at the table above, we can see that 40 people do not like rice or pasta, so 40 out of 100 = 40%, so 40% of the people surveyed don't like either. Part C: People surveyed have a greater dislike for pasta than rice. Reason: 60 people do not like rice and 70 people do not like pasta, and 70>60 so people dislike pasta more.
Step-by-step explanation:https://brainly.com/question/2141081
Question is in picture
Answer:
the first one is the correct answer
Step-by-step explanation:
the controlled variable is the one that stays constant, so the answer is 'the type of candy and the way in which we held the candy in our mouths'
:)
Write down the shortest distance of points A,B,C, and D from the x-axis
Answer:
c
Step-by-step explanation:
Which of the numbers listed below are solutions to the equation? Check all
that apply
x2 = 0
O A. -
B. 1
C. -2
IN D. O
E.2
F. None of these
Answer:
x=0
Step-by-step explanation:
x^2 =0
The only solution for x is
x=0
Help help help math math math
Answer:
okay so the answer is x>-5
Answer:
x>-5
Step-by-step explanation:
PLS HURRY TIMED!!!
.
.
.
.
.
.
.
.
Answer:
-3
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Start with the diagonal going from upper left to lower right.. That gives -4*6 = - 24
Now calculate the other diagonal
-(3 * - 7 ) = 21
Now add them.
-24 + 21 = -3
. Predict how the display may look after another 20 minutes.
erature
Answer:
creature
Step-by-step explanation:
it's definitely creature
Pencils are sold in boxes of
12. Mrs. Sheridon wants to
give 2 pencils to each of her 24
students. How many boxes of the
pencils will she need to buy?
4 boxes 4.12 = 48 pencils
hope it helps...!!!
If A is the center of the circle, then which statement explains how segment GH is related to segment FH?
Circle A with inscribed triangle EFG; point D is on segment EF, point H is on segment GF, segments DA and HA are congruent, and angles EDA and GHA are right angles.
segment GH ≅ segment FH because arc EF ≅ arc GF
segment GH ≅ segment FH because the inscribed angles that create the segments are congruent.
segment GH ≅ segment FH because the tangents that create the segment FG share a common endpoint.
segment GH ≅ segment FH because segment FG is perpendicular to a radius of circle A.
Statement fourth the segment GH ≅ segment FH because segment FG is perpendicular to a radius of circle A if Circle A with inscribed triangle EFG; point D is on segment EF, point H is on segment GF, segments DA and HA are congruent, and angles EDA and GHA are right angles.
What is a circle?It is defined as the combination of points that and every point has an equal distance from a fixed point ( called the center of a circle).
We have AH as the radius and FG as a chord
AH is perpendicular to FG, AH⊥FG
As we know that a line passing through the center and perpendicular to the chord, bisects the chord.
∴ AH bisects FG
∴ FH = GH
Thus, the segment GH ≅ segment FH because segment FG is perpendicular to a radius of circle A if Circle A with inscribed triangle EFG; point D is on segment EF, point H is on segment GF, segments DA and HA are congruent and angles EDA and GHA are right angles.
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John works at Klein’s Dry Cleaning. He earns $8.45 per hour. If John worked 39 hours this week, what is his pay?
Answer:
$329.55
Step-by-step explanation:
We simply just multiply the hours by the total cost he gets paid each hour.
Since he gets paid 8.45 each our and works 39 hours we do:
8.45 * 39 = 329.55
Answer:
$329.55
Step-by-step explanation:
8.35 times 39
If the bottom row as a result of synthetic division is 3, 0, 4, 0, 1. then the quotient is what?
Answer:
[tex]a. \:\:3x^3 + 4x\:\:R1[/tex]
Step by step explanation:
Hope it helps you in your learning process.
Have a great day ahead.
The quotient and remainder for the last row of the synthetic division 3, 0, 4, 0, 1 are 3x³ + 4x, and 1 respectively.
The option representing this is, a. 3x³ + 4x R1.
What is synthetic division?Synthetic division is a short method of dividing a polynomial p(x) by another polynomial (x - c), to get the quotient and remainder.
The last row represents the quotient and remainder, the last digit being the remainder, and the others being the quotient multiplied by leading powers of x, starting from x⁰, starting from the second last term of the last row.
How to solve the question?In the question, we are given the last row of a synthetic division as 3, 0, 4, 0, 1, and we are asked to find the quotient of the division.
The last number, 1 represents the remainder and can be written as R1.
Now we move from the back to the front and multiply every number with the leading power of x, starting from x⁰.
0 gives 0 * x⁰ = 04 gives 4 * x¹ = 4x0 gives 0 * x² = 03 gives 3 * x³ = 3x³.Therefore, the quotient and remainder for the last row of the synthetic division 3, 0, 4, 0, 1 are 3x³ + 4x, and 1 respectively.
The option representing this is, a. 3x³ + 4x R1.
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What is the simplified form of i^14?
A. -1
B. i
C. -i
D. 1
Answer:
-1
Step-by-step explanation:
Rewrite i14 as (i4)3×i2 If i=√−1, then i2=−1 .
Answer: (A. -1)
Step-by-step explanation: Rewrite i14 as (i4)3×i2 . If i=√−1, then i2=−1. I hope this helped!
If 100 students are surveyed, about how many students own 2 or more pets? Explain. Problem: 9/20x100 Please tell me how to get the answer just not the answer. Thank you.
Answer:
45
Step-by-step explanation:
20 goes into 100 5 times so then you tka e the 9 and x 5 and you get 45
21. Which kind of function best models the data in the table? Use differences or ratios. (1 point)
Y
01.3
17.8
246.8
3 280.8
41684.8
O linear
O quadratic
exponential
O none of the above
WILL GIVE BRAINLEIEST HURRRYY
The graph of an exponential function, f(x), is shown.
Move numbers to the blanks to describe how f(x) increases and grows over different intervals.
This are the answers
What is the mean absolute deviation of the following set
of data?
4
1
5
3
2
4.
5
3
3
4
Answer:
1
Step-by-step explanation:
The mean absolute deviation of a dataset is the average distance between each data point and the mean.