Answer:
a) 45 g
b) greater (make the graph youself on desmos or something)
c) 9/4
Step-by-step explanation:
area = integral 0 to 3 of x^2 dx = [1/3x^3] 0 to 3 = 9
mass = density * area = 5 * 9 = 45 grams
area = y*deltax = x^2*deltax
x = integral 0 to 3 of 5x^3 dx / mass = (405/4) / 45 = 9/4
A rectangle has an area of 171 square meters. Its width is ten meters less than the length. Find the measures of the length and width of the rectangle.
Step-by-step explanation:
The area of a rectangle is 171 m²
Let l is the length and b is the width of the rectangle
It width is 10 m less than the length. So,
b = l-10 ...(1)
Area of a rectangle is given by :
[tex]A=l\times b\\\\171=l(l-10)\\\\l^2-10l=171\\\\l^2-10l-171=0\\\\l^2-19l+9l-171=0\\\\\text{taking common together}\\\\l(l-19)+9(l-19)=0\\\\(l-9)(l-19)=0[/tex]
or
l = 9 m or l = 19 m
If l = 9 m,
b = 9-10 = -1 m (can't be possible)
If l = 19 m
b = 19-10 = 9 m
So, the length an the breadth of the rectangle is 19 m and 9 m respectively.
What is 3/4 divided by 9?
Answer:
1/12 or 0.0833333333333
Step-by-step explanation:
A student’s score on an exam is an integer between 0 and 100. A score of 90 to 100 is an A, 80 to 89 is a B, 70 to 79 is a C, 60 to 69 is a D, and below 60 is a failing grade of F. It is known that scores between 51 and 100 are equally likely and scores less than 50 cannot occur. Find the following probabilities: (a) Find the probability the student gets an A? (b) Find the probability that student fails the exam. (c) Find the probability that the student who is known not to have a C grade, has a B grade. (d) Find the probability that a student who is known to have passed the course, has a B grade.
Answer:
A. 0.22
B. 0.18
C. 0.25
D. 0.244
Step-by-step explanation:
S = {51 to 100} = 50
The sample space S contains values from 51 to 100 which is a total of 50 different values.
A.
Probability of A (lies between the values of 90 to 100 = 11).
11/50 = 0.22
B.
For a student to fail the course, his course has to be less than 60 = from 51 to 59. A total of 9 values.
9/50 = 0.18
C.
For student to get c, (70 to 79) a total of 10 values: 10/50 = 0.20
P(student did not get C) = 1-0.20 = 0.80
To get B, ( 80 to 89)
10/50 = 0.20
Probability that a student who is known not to have a c grade has a b grade = 0.20/0.80 = 0.25
D.
Probability of passing lies between 60 to 100 = 41 scores
41/50 = 0.82
Probability of student who passed having a B = 0.20/0.82 = 0.244
last question below, or select another question
For a Saturday matinee, adult tickets cost $8.50 and kids under 12 pay only $7.00. If 80 tickets are sold for a total
of $605, how many of the tickets were adult tickets and how many were sold to kids under 12?
Answer:
30 adult tickets and 50 child tickets
Step-by-step explanation:
605 = 8.5a + 7c
80 = a + c
620 = (8.5*40) + (7*40)
605 = (8.5*30) + (7*50)
a = 30 c = 50
a scuba diver 9 1/2 feet below sea level viewing some tropical fish. she descends [swims downward] 10 1/2 feet to get closer look at a manta ray swimming on the sea bottom.
Answer:
Step-by-step explanation:
Answer:
it that going to come on cxc
Find the measure of angle 1.
152
115
mZ1 =
Please help mee:(
Answer:
37°
Step-by-step explanation:
We have been given the diagram of the triangle;
To find the angle I;
We need to apply one of the geometry laws,
The sum of adjacent internal angles of a triangle gives the external angle;
So;
I + 115 = 152
Solve for I;
I = 152 - 115 = 37°
Choose the equation below that represents the line passing through the point (2, -5) with a slope of -3.
y = -3% - 13
Oy=-3x + 13
Oy=-3x + 1
Oy=-3x + 11
Answer:
D
Step-by-step explanation:
Slope
All answers agree that the slope = - 3
y intercept
So far what you know is that the line is
y = -3x + b
The point shows that
5 = -3*2 + b Combine right
5 = -6 + b Add 6 to both sides
5 + 6 = -6+6 + b Combine
11 = b
So the y intercept = 11
Answer: y = -3x + 11 D
what is the answer of this 100 x 20 =
Answer:
2,000
Step-by-step explanation:
An easy way of solving problems like these is to count the number of zeros in the equation, temporarily remove them, solve the new problem, and then add all the zeros that you removed before. In this case:
100 x 20 = ?
1 x 2 = ? | 000
2 | 000
2,000
Here's another example:
300 x 5000 = ?
300 x 5000 = ?
3 x 5 = ? | 00000
15 | 00000
1,500,000
In a computer instant messaging survey, respondents were asked to choose the most fun way to flirt,
and it found that P(D) = 0.710, where D is directly in person. If someone is randomly selected, what does
PD) represent, and what is its value?
What does Po represent?
O A. P(D) is the probability of randomly selecting someone who did not participate in the survey.
OB. P(D) is the probability of randomly selecting someone who chooses a direct in-person
encounter as the most fun way to flirt.
OC. P(D) is the probability of randomly selecting someone who does not choose a direct in-person
encounter as the most fun way to flirt.
OD. P(D) is the probability of randomly selecting someone who did not have a preference in
regards to the most fun way to flirt.
PD = (Simplify your answer.)
Answer: C , 0.29
Step-by-step explanation:
P(D) is the probability flirting of directly in person.
represents probability of flirting other than in person.
P(D)=0.710.
= 1 - 0.710.
= 0.29
Hence the value of Upper P left parenthesis Upper D overbar right parenthesis is 0.29.
Emily earns extra spending money by babysitting children in her neighborhood. On Tuesday, she earned $16 for baby sitting for 2 hours. On Saturday, she earned $40 for baby sitting for 5 hours. let x represents the number of hours and y represents the amount earned. What is the rate of change? *
1 point
A. 24/7
B. 8/1
C. 38/11
D. 7/2
Answer:
2000
Step-by-step explanation:
2000+40+16*2
2000
What is the value of x in the equation below? Round to the nearest hundredths place.
0.45 (x + 1.6) + 5 x = 18
3.01
3.17
36.44
38.4
Answer:
the answer is "B"
Step-by-step explanation:
took da quiz
Answer:
B
Step-by-step explanation:
Henry can write 5 pages of his novel in 3 hours at this rate how many pages can Henry write in 8 hours
Answer:
13.3 pages.
Step-by-step explanation: Hopefully this helped a lot !
A straight angle is split into the ratio of 3:1:4. Find the measure of each angle.
Answer:
Let the parts be given as x,
180° = 3x + 1x + 4x (Because a straight angle = 180°)
=> 180° = 8x
=> 180 / 8 = x (By the law of transposition)
=> 22.5 = x
Therefore the three different angles are :
67.5° , 22.5° , 90° respectively
Check,
=> 67.5 + 22.5 + 90
=> 90 + 90
=> 180°
If my answer helped, please mark me as the brainliest!!
Thank You!
Round 7347803 to the nearest hundred thousand
Answer:
the answer is 7,348,000
Step-by-step explanation:
What is the square root of -1
Answer:
The square root of ( -1 ) is i
Answer:
the square root of -1 is i
Have a nice day! :D
Step-by-step explanation:
nova needs to determine the number of books that will fit into a box. if the box has the length of 18 inches and each book is 2/9 of an inch thick, which expression can be used to determine the number of books that will fit into the box
Answer:
First we know that each book is 2/9 inch thick
- The total length of the box is 18 inches
- And we can fill the box with x Amounts of 2/9 inch books as long as the total length DO NOT SURPASS 18 inches
Step-by-step explanation:
In which x is the total number of books
Answer:how does it go again
Step-by-step explanation:
pe pe po po pe pe pp po
explain how polygon A is congruent to polygon B
Answer:
polygon B is just polygon B flipped to the side
Step-by-step explanation:
polygon B is just polygon B flipped to the side
(18 - ab) + 4b (if a = -2 and b = -5)
Answer:
-12
Step-by-step explanation:
if a=-2 and b=-5
(18-(-2×-5))+4(-5)
(18-(10))-20
8-20
-12
just gotta plug in the given into the equation
Answer:
person above me is correct
Step-by-step explanation
What is 4.345 × 10^5 in standard form?
You may need to erase the comma
To get this answer, move the decimal point to the right 5 spaces to go from 4.345 to 434,500
If the exponent was -5, then you would move five spaces to the left.
determine the number of significant digits in the measurement 3.08cm
9514 1404 393
Answer:
3 significant digits
Step-by-step explanation:
If there is a decimal point with non-zero digits to its left, all digits to the right of the left-most non-zero digit are significant. Here, that is all of them. This number has 3 significant digits.
__
Comment on other cases
If there is no decimal point, the digits between any leading and trailing zeros are significant. For example, 02000 has 1 significant digit.
If there are no non-zero digits left of the decimal point. All digits except leading zeros are significant. 0.0031000 has 5 significant digits.
please help. im really struggling,
Answer:
3/10 =a
Step-by-step explanation:
X*1/5×3/2 =X*a
X*3/10 =X*a
base are same so
3/10 =a
5. Find the value of x. (x+16) (4x-5)
Answer:
x = 7
Step-by-step explanation:
Set the equations equal to each other, since the two angles are congruent.
x + 16 = 4x - 5 now solve
21 = 3x
x = 7
Answer:
Step-by-step explanation:
Which expressions below equal a rational number? Select all that apply.
A rectangular table is four times as long as it is wide. If the area is 36 ft2, find the length and the width of the table.
Answer:
The width is 3 ft
The length is 12 ft
Step-by-step explanation:
Let w = width
l = 4w
A = l*w
Replace length with 4w
A = 4w*w
36 = 4 w^2
Divide each side by 4
36/4 = 4w^2/4
9 = w^2
Take the square root of each side
sqrt(9) = sqrt(w)
3 =w
The width is 3 ft
The length is 4*3 = 12 ft
Use the add-on method for determining interest on a loan of $1730, with an annual rate of 12% and a term of 2 years. Then, determine the annual interest rate during the last month of the loan.
Use the add-on method for determining interest on a loan of $1730, with an annual
what is Arithmetic Series
Answer:
I am pretty sure it is when you have a sequence of numbers that you are subtracting or adding from by the same constant over and over
Step-by-step explanation:
an=a1+(n-1)d
d=common difference
an= the nth term in the sequence
a1 first term in the sequence. (Usually you can plug in 1, as the n, and work from there)
Simplify the question 8(x+9)
Step-by-step explanation:
8(x + 9)
8x + 72 = 0
8x = -72
x = -72/8
x = -9
Answer:
Given : 8(x + 9)
Solution :
[tex]8(x + 9) = 0\\ [/tex]
Multiply 8 to both x and 9
[tex]8x + 72 = 0 \\ [/tex]
Now, Move 72 to RHS from LHS
[tex]8x = - 72 \\ [/tex]
[tex]x = \dfrac{ - 72}{8} \\ [/tex]
And the final ans we get is :
[tex]\boxed{x = - 9}[/tex]
In a survey 36% of the students said that they kept an electronic diary. There were 900 students who kept an electronic diary. How many students were in the survey, please explain. :)) <33
If z = 13 – 71, what is the value of |z|?
Answer:
-58
Step-by-step explanation:
Simplify (6^7)^3.
A. 6^21
B. 42^3
C. 6^10
D. (1/6)^21
Answer:
A. 6^21
Step-by-step explanation:
When you see a parenthesis in which the number inside has a power, and there is a power outside the parenthesis, you multiply the powers.
(6^7)^3 = 6^(7 * 3) = 6^21
A. 6^21 is your answer.
~
Answer:
A. 6^21
Step-by-step explanation: