Answer:
Below
Step-by-step explanation:
First we can find the volume of the box
v = lwh
v = (20)(16)(16)
v = 5120 in^3
Find the volume of the cylinder using this formula
V = πr^2h
V = π(5)^2(20)
V = 1570.79633 (plug this into the final equation, not the rounded one in case it screws up the final value)
V = 1570.8 in^3
Now we can find the volume of the shaded region by subtraction
5120 - 1570.7963= 3549.2037
Rounding to the nearest 10th and you get....
V = 3549.2
Hope this helps!
find the surface area of the figure below. Round it to the nearest tenth.
Answer:
173.4
Step-by-step explanation:
Surface area of the cone=pi*r*l+pi*r^2=pi*(4)*(9.8+4)=173.4
The value of -48 - x is positive. What are two possible values of x?
Show your work.
Please help I will give you Brainlyest
Answer:
-49
-50
Step-by-step explanation:
When a negative number subtracts another negative number, the number becomes positive.
For example: -48-(-49)=1
-48-(-49) becomes -48+49=1
Jennifer is saving money to buy a bike. The bike costs $239. She has $127 saved, and each week she adds
$16 to her savings.
How long will it take her to save enough money to buy the bike?
It will take her
weeks to save for the bike.
Answer: 7 weeks
Step-by-step explanation:
16X + 127 = 239
16X = 239 - 127
16X = 112
X = 112/16
X = 7
(-8)(-8)(5)(5)(-8)=
PLZZ HELP ME
Answer:
First opening all the bracet
-8*-8*5*5*-8
- and -will be + so,
64*25*-8
64*-200
-12800
With the aid of an illustrative example, discuss the relationship between the area of a region and the definite integral. *
Suppose there is a function f(x), the definite integral of the function is the difference between the upper and lower x-values.
There are three relationships between the definite integral and the area of the region. The relationships are:
Positive functionNegative functionRegion between two functionsPositive function
The area between the function itself and the x-axis represents the definite integral.
Negative function
The area between the function itself and the x-axis, multiplied by -1 represents the definite integral.
Region between two functions
The definite integral of the function is the difference between the region of both functions.
See attachment for further illustration
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write the first ten multiples of 3 ,4 and find l.c.m with method
Answer:
Multiples of 3=3,6,9,12,15,18..
Multiples of 4=4,8,12,16,20..
The first common multiple will be 12
And the next common multiples will be multiples of 12
Hence, first four common multiples of 3,4 are 12,24,36,48
https://www.cuemath.com/numbers/lcm-of-3-and-4/
I am a bit confused on a derivative is in Calculus. From what I understand, I derivative is the limit of a tangent line on a curve. I was wondering if someone can explain in simple terms what a derivative is and what is the point of calculating it. Thanks!
Answer:
Step-by-step explanation:
To answer your question fully can literally take up an entire book.
The importance becomes obvious if you consider the derivative (and the inverse of it the integral) as the foundation of calculus. I guess that askes the question what is calculus? For this answer a very very simplistic answer would be that it is the branch of mathematics that studies "non-constant" change (things that curve)
...... Let's see if this makes sense? You are driving your car at a constant 50 mph . after one hour you are 50 miles from home and after two you are 100.
y=50x. you can calculate this value in a several of ways just take two time stamps and two distance stamps ... subtract the two times and two
ok now here is the REAL PROBLEM issue we want to know our CHANGE IN
VELOCITY (that is ACCELERATION) ... if you take ANY two points you will
see that the SPEED is ALWAYS the same so the numerator is always 0 (zero) and thus the denominator (the difference in the time stamps) does not matter
now lets say that we are accelerating ..we are going y = 10 [tex]x^{2}[/tex] mph
at 3 seconds we are going 90 mph (10* 3^2) .. but we really don't care about that we want the "acceleration" at EXACTLY that point...
to do that we "have to estimate" delta Y over delta X
lets take 3 and 0 .... (9-0)/3 estimate of acceleration is 3...
but WAIT we can do better (get closer) take 3 and 1 ... (9 - 1)/2
acceleration is 4... once again lets get closer to the exact 3 ...
3 and 2 ... (9 -4)/2 the acceleration is 5...
hold on ! lets get even closer use 3 and 3 and we get it exactly !
(9-9)/0 that is the answer hurray! HOLD ON ! you CAN NOT DIVIDE BY ZERO ... no can do... we have to wait for newton and Leibniz to
figure out lim as x-> 0 f(x)-f(x+ delta x) / x to get around the DIVIDE BY ZERO problem...
that is the derivative
BRAINLIEST
Write the equation of the line that passes through the points (5,3)(5,3) and (-7,-1)(−7,−1). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answer:
y+1=(x+7)/3
Step-by-step explanation:
slope = (-1-3)/(-7-5) = -4/-12 = 1/3
b = 3-(1/3)×5 = 4/3
y = mx+b
or, y = x/3+4/3
its point slope form,
y = x/3+4/3
or, y=(x+4)/3
or, y+1=(x+4)/3+1
or, y+1=(x+4+3)/7
or, y+1 =(x+7)/3
The equation of the line that pass thought the given points will be y+1 =(x+7)/3.
What is slope?It is possible to determine a line's direction and steepness by looking at its slope. Finding the slope between lines inside a coordinate plane can aid in anticipating if the lines are perpendicular, parallel, or none at all without physically using a compass.
As per the data in the question,
Slope = (-1-3)/(-7-5)
= -4/-12
= 1/3
b = 3-(1/3) × 5
b = 4/3
As per the expression for slope,
y = mx+b
y = x/3+4/3
Now, point in slope form
y = x/3+4/3
y=(x+4)/3
y+1=(x+4)/3+1
y+1=(x+4+3)/7
y+1 =(x+7)/3
This is the expression for the line.
To know more about slope:
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Help please and thank you
Answer:
x = y² - 7
Step-by-step explanation:
the inverse function is simply an exchange of x and y (and then the simplification happens to transform the whole expression back into a form y = ....)
What is the simplest form of the fraction 120/150?
Answer:
4/5
Step-by-step explanation:
120/30=4
150/30=5
120/150=4/5
Answer:
4/5
Step-by-step explanation:
120/150
Both 120 and 150 are divisible by 30
So we divide both number by 30
120 ÷ 30 = 4
150 ÷ 30 = 5
So therefore the answer is
4/5
Hope this helps!
a positive integer n is called special if n is divisible by 4, N+1 is divisible by 5 and n+2 is divisible by 6. how many special integers smaller than 1000 are there?
Answer:
17
Step-by-step explanation:
these positive integers are :
4, 64, 124, 184 ... , 964
964 = 4 + (n-1) (60)
964 = 4 + 60n -60
964 = 60n -56
60n = 1020
n = 1020/60
n = 17
so, the number of special integers smaller than 1000 are = 17
The digits n, n+1 and n+2 implies that the special numbers are consecutive i.e. they follow one another. The count of special numbers less than 1000 is 17.
Given that:
[tex]\{n,n+1,n+2\} = \{4,5,6\}[/tex]
[tex]Range = 1000[/tex]
First, calculate the LCM of 4, 5 and 6.
[tex]4 = 2 \times 2[/tex]
[tex]5 = 5[/tex]
[tex]6 = 2 \times 3[/tex]
So, the LCM is:
[tex]LCM = 2 \times 2 \times 5 \times 3[/tex]
[tex]LCM = 60[/tex]
This means that the special digit occurs after every other 60 digits (i.e. the difference between a special digit and another is 60)
To calculate the count of special digits, we make use of arithmetic progression formula
[tex]L = a + (n - 1) \times d[/tex]
Where
[tex]L = 1000[/tex] --- the last term
[tex]a = 4[/tex] --- the first special digit
[tex]d = 60[/tex] --- the common difference as explained above
So, we have:
[tex]L = a + (n - 1) \times d[/tex]
[tex]1000 = 4 + (n - 1) \times 60[/tex]
Collect like terms
[tex]1000 - 4 =(n - 1) \times 60[/tex]
[tex]996 =(n - 1) \times 60[/tex]
Divide both sides by 60
[tex]16.6 =n - 1[/tex]
Add 1 to both sides
[tex]1 + 16.6 =n[/tex]
[tex]17.6 =n[/tex]
Rewrite as:
[tex]n =17.6[/tex]
Remove the decimal part (do not approximate)
[tex]n =17[/tex]
Hence, the special numbers are 17 in total (that are less than 1000).
Read more about arithmetic progression at:
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( a + b ) ^ 2 = bao nhiêu
Answer:
a square plus 2ab plus b square......hope this will help you...thank you
[tex]\huge\text{Hey there!}[/tex]
[tex]\boxed{\huge\boxed{\mathsf{(a + b)^2}}}\\\boxed{\huge\boxed{\frak{= a + b \times a + b}}}\\\\\boxed{\huge\boxed{\rm{ = a^2 + 2ab + b^2}}}\huge\checkmark[/tex] [tex]\boxed{\huge\boxed{\leftarrow} \text{ YOUR ANSWER}}[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\rm{Amphitrite1040:)}[/tex]
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION WHILE ANSWERING THE QUESTION!!
What is the first quartile of the data set 3,7,11,14,16,16,18,21,22,23,27?
A. 22
B. 16
C. 14
D. 11
Answer:D
Step-by-step explanatiation:25th Percentile: 11
50th Percentile: 16
75th Percentile: 22
Interquartile Range: 11
In 1990, when the CPI-U was 132.4, the
Bucy family spent an average of $80 per
week on food. What was their weekly food
bill in 1994 for the same type and amount
of food? The CPI-U for 1994 was 144.3.
Find the answer to the nearest dollar.
Answer:
342.8 is the amount of money
1+2+6+1+4+45+7474747448489
Answer:
7474747448548
Step-by-step explanation:
I hope this helps
If 24n-¹ + 3 = 7 What is the value of n
Answer:n=6
Step-by-step explanation:
A
75°
B.
Reflex Angle B =
degrees.
Answer:
285
Step-by-step explanation:
B+A=360, B=360-75=285
An angle whose measure is greater than 180° but less than 360° is termed a reflex angle.
[tex]\large{\textrm{{{\color{navy}{∠A \: + \: ∠B \: = \: 360°}}}}}[/tex]
[tex] \bf \large \longrightarrow \: \:75 \degree \: + \: ∠ B \: = \: 360°[/tex]
[tex] \bf \large \longrightarrow \: \: \angle B \: = \: 360° \: - \: 75 \degree[/tex]
[tex] \bf \large \longrightarrow \: \: \angle B \: = \:285 \degree[/tex]
6.3 covert to fractional form like a fraction and get a like and brainiest !
How do you solve a quadratic equation by factoring
In a lemon cordial drink, water is mixed with lemon juice in the ratio
water : lemon juice = 4:1.
a
What percentage of the cordial drink is lemon juice?
What is the answer
Answer:
20%
Step-by-step explanation:
Answer:
20%
Step-by-step explanation:
If the ratio of water to lemon juice is 4:1, that means that for every 5 portions of the cordial drink, 4 are water and 1 is lemon juice. In other words, 4/5 of the drink is water and 1/5 is lemon juice. The percentage of the lemon juice would be 1/5 = 20%. The answer is 20%.
Table 8 shows the values of two variables, x and y, obtained from an experiment. Variables x and y are related by the equation y = a(1-6), where a and b are constants. Jadual 8 menunjukkan nilai-nilai bagi dua pembolehubah, x dan y, yang diperoleh daripada suatu eksperimen. Pembolehubah x dan y dihubungkan oleh persamaan y=a(1-6)", dengan keadaan a dan b ialah pemalar 1 2 3 4 5 2.19 3.61 y 5.50 8.32 12.51 20.42 Table 8 Jadual 8 (a) Based on Table 8, construct a table for the values of log.ny. Berdasarkan Jadual 8, bina satu jadual bagi nilai-nilai logo y. [1 mark] [1 markah] (6) Plot logio y against x, using a scale of 2 cm to 1 unit on the x-axis and 2 em to 0.2 unit on the logo y -axis. Hence, draw the line of best fit [3 marks]
Answer:
TABLE 8
Step-by-step explanation:
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST!!
Answer:
so the simplest way to find the volume of water is by dividing into different....objects
so when dividing you create a rectangular box that has length of 12 width of 14.5 and height of 5 and another rectangular box with length of 7 (19-12) width of 4 and height of 5
now calculate the volume of each box and add them up
v = length x width x height
box 1 = 12 x 14.5 x 5 = 870 ft^3
box 2 = 7x4x5 = 140
now smash them up together = 870+140=1010ft^3
hope that answers your question
Please solve this radical equation. Show all your steps and explain thoroughly what you did. Thank you for your time and help.
Answer:
4,3
Step-by-step explanation:
Rearrange the equation :
[tex] \sqrt{x - 3} = x - 3[/tex]
Then, we must square both sides:
x-3 = x²-6x+9
x²-6x+9-x+3=0
x²-7x+12=0
(x-4)(x-3) =0
So x =4,3
Answer:
x = 3, x = 4
Step-by-step explanation:
Given
[tex]\sqrt{x-3}[/tex] + 3 = x ( subtract 3 from both sides )
[tex]\sqrt{x-3}[/tex] = x - 3 ( square both sides )
x - 3 = (x - 3)²
x - 3 = x² - 6x + 9 ( subtract x - 3 from both sides )
0 = x² - 7x + 12 ← in standard form
0 = (x - 3)(x - 4) ← in factored form
Equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
x - 4 = 0 ⇒ x = 4
As a check
Substitute these values into the equation and if both sides are equal then they are solutions
x = 3 : [tex]\sqrt{3-3}[/tex] + 3 = [tex]\sqrt{0}[/tex] + 3 = 3 = 3 = right side
x = 4 : [tex]\sqrt{4-3}[/tex] + 3 = [tex]\sqrt{1}[/tex] + 3 = 1 + 3 = 4 = right side
solutions are x = 3, x = 4
3.41 repeating as a fraction?
Answer: the answer is 3 41/99
Step-by-step explanation: got it from khan pls mark me 5 stars
Solve:
0.03g - (2g + 3) = 1.8
Answer:
-2.43655
Step-by-step explanation:
In 2000, U.S. Airways burned about 115 litres of fuel per passenger. In 2014 that dropped
to 90 litres of fuel per passenger. What is the percentage reduction in fuel used? Give you
answer to the nearest whole percentage.
Answer:
22% reduction
Step-by-step explanation:
Find the percent decrease by dividing the difference in amounts by the original amount.
Find the difference:
115 - 90 = 25
Divide this by the original amount:
25/115
= 0.217
So, the percent decrease is 21.7%. Round this to the nearest whole percentage:
= 22
The percent reduction in fuel used was approx. 22%
0.007407 in standard form
Step-by-step explanation:
To convert 0.007407 into scientific notation, follow these steps:
Move the decimal 3 times to right in the number so that the resulting number, m = 7.407, is greater than or equal to 1 but less than 10
Since we moved the decimal to the right the exponent n is negative
n = -3
Write in the scientific notation form, m × 10n
= 7.407 × 10-3
i think this may help you tq
Weekly wages at a certain factory are
normally distributed with a mean of
$400 and a standard deviation of $50.
Find the probability that a worker
selected at random makes between
$350 and $400.
Answer:
0.34134
Step-by-step explanation:
in other to solve for this question we would be using the z score formula
z = (x - μ) / σ
x = raw score
μ = mean
σ = standard deviation
the question tells us to find the probability that a worker selected at random makes between $350 and $400
let x1 = 350 and x2= 400 with the mean μ = 400 and standard deviation σ = $50.
z1 = (x1 - μ) / σ = (350-400) / 50 = -1
z2 = (x2 - μ) / σ = (400 - 400) / 50 = (0/50) = 0
from tables, P(z <= -1) = 0.15866
P(z <= 0) = 0.5
then the probability would give us, P(-1 ≤ z ≤ 0) =0.5 - 0.15866 =
0.34134
that explains that the probability that a worker selected at random makes between $350 and $400 = 0.34134
TO BE ANSERED ASAP
If n = 4, then 9ˆ8 ÷ 9 n is equal to__________________.
Answer:
1,195,742.25 (final answer since instructions did not include rounding up or anything)
Step-by-step explanation:
n = 4
The given expression is:
9^8 ÷ 9n
USE PEMDAS order of operations and solve:
9^8 ÷ 9n
= 43046721 ÷ 9n
Substitue n with 4 and solve:
43046721 ÷ 9(4)
= 43046721 ÷ 36
= 1,195,742.25
Answer:
9^4
Step-by-step explanation:
We know that a^b ÷ a^c = a^ (b-c)
9^8 ÷ 9^4
9^(8-4)
9^4
square of 5x+1 by 5x.Please help mee