Answer:
2. Candle dimensions: x = 6.3 cm h = 6.29 cm
A (min) = 373.49 cm²
3. Cylindrical oven dimensions: x = 0.54 m h = 0.55 m
A (min)= 1.4747 m²
Step-by-step explanation:
2.A The volume V of the cylindrical candle is 785 cm³
V = π*x²*h x is the radius of the base and h the heigh of the cylinder
The surface area A is area of the base π*x² . plus lateral area 2*π*r*h
then . A = π*x² + 2*π*x*h . h = V/π*x²
A as a function of x . is
A(x) = π*x² + 2*π*x*785/π*x²
A(x) = π*x² + 1570/x
Taking derivatives on both sides of the equation we get:
A' (x) = 2*π*x - 1570/x²
A'(x) = 0 . 2*π*x - 1570/x² = 0 . 2*π*x³ = 1570
x³ = 250
x = 6.3 cm . and . h = 785/π*x² . h = 785/124.63
h = 6.29 cm
Then dimensions of the cylindrical candle:
x = 6.3 cm h = 6.29 cm
A (min) = 3.14 * (6.3)² + 6.28*6.3*6.29
A (min) = 124.63 + 248.86
A (min) = 373.49 cm²
3. For a cylindrical oven V = 0.512 h = 0.512/ π*x²
Following the same procedure
A(x) = π*x² + 2*π*x*0.512/π*x² .A(x) = π*x² + 1024/x
A'(x) = 2* π*x - 1.024/x²
A'(x) =0 . 2* π*x - 1.024/x² =0 . 2* π*x³ . = 1.024
x³ = 0.512/π . x³ = 0.163
x = 0.54 m h = 0.512/π*x² . h = 0.55 m
A(min) = 3.14*(0.54)² + 1024/x
A(min)= 0.9156 + 0.5591
A (min)= 1.4747 m²
What's the sum of the infinite geometric series where a1 = 240, and the common ratio is r = 1∕3 ?
A: 600
B: 720
C: 360
D: 480
I think its B because it is always B
Which days are part of line BE?
Answer:
B) Rays AB and AE
Step-by-step explanation:
Though A-F, A-D, and A-C all meet at one point on line B-E, point A, they aren't a part of it. Point A on line B-E marks the "midpoint" of it, and therefore, ray A-E and A-B are part of line B-E.
SOMEONE HELP ME PLEASE
Answer: P (3 or odd) = 1/2
Step-by-step explanation:
Concept:
Here, we need to know the idea of probability.
Probability is a measure of the likelihood of an event to occur.
If you are still confused, please refer to the attachment below for a graphical explanation.
Solve:
The numbers on a dice: 1, 2, 3, 4, 5, 6
Total numbers = 6
Number of 3 = 1
Number of Odd = 3
[Since 3 is one of the odd numbers and they are overlapping, so we should subtract 1 from the number of favorable outcomes]
P (3 or odd) = Favorable / Total (refer to the attachment)
P (3 or odd) = [(1 + 3) - 1] / 6
P (3 or odd) = (4 - 1) / 6
P (3 or odd) = 3 / 6
P (3 or odd) = 1/2
Hope this helps!! :)
Please let me know if you have any questions
Question 6(Multiple Choice Worth 3 points) (08.03)A group of 12 students participated in a dance competition. Their scores are below: Score (points) 1 2 3 4 5 Number of Students 1 2 4 3 2 Would a dot plot or a histogram best represent the data presented here? Why? Histogram, because a large number of scores are reported as ranges Histogram, because a small number of scores are reported individually
Answer:
Dotplot, because a small number of scores are reported individually.
Step-by-step explanation:
Given the data :
Score (points) _______ 1 _ 2 _ 3 _ 4 _ 5
Number of Students __ 1 _ 2 _ 4 __3_ 2
Both the dot plot and histogram are used to represent graphical representation of data. The histogram uses bars ot represent data values or frequency of data organized or presented as ranges. This means histograms are usually ideal for grouped data which maintain a specified amount of interval between each class Or group. The Dotplot on the other hand handles individual data values using dots that represent the frequency of each. Since the data above are reported as individual data values, then the Dotplot is an ideal choice.
Answer:
small dot plot bb
Step-by-step explanation:
xoxo
which quadratic function has zeros of -4 and 7
Thank You! Hope it helps! Please mark me brainliest!
Translate the sentence into an equation.
Six times the sum of a number and 5 equals 4.
Use the variable b for the unknown number.
Answer:
6(b + 5) = 4
Step-by-step explanation:
To start of we know that by saying six time the sum of a number and five. The problem wants us to put b + 5 in parenthesis to establish that the 6 is being distributed to both the b and the 5. Now that we have the first part, all we have to do is write that this expression is equal to four.
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
Solve for x.
10x – 79 = 2x + 49
x = [?]
Answer:
[tex]x = 16[/tex]
Step-by-step explanation:
Step 1: Add 79 to both sides
[tex]10x - 79 + 79 = 2x + 49 + 79[/tex]
[tex]10x = 2x + 128[/tex]
Step 2: Subtract 2x from both sides
[tex]10x - 2x = 2x - 2x + 128[/tex]
[tex]8x = 128[/tex]
Step 3: Divide 8 from both sides
[tex]\frac{8x}{8} = \frac{128}{8}[/tex]
[tex]x = 16[/tex]
Answer: [tex]x = 16[/tex]
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Step-by-step explanation:
x=16
Tyrell bought 6 video games this summer. Each game cost 27 dollars. If Tyrell had 379 dollars left after he bought the video games, how much money did he start with?
Taking into account the total amount of money spent on the games and the money that Tyrell had left after he bought the video games, Tyrell started with $541.
Total amount of moneyFirst you must know the total amount of money spent on the games. For that Tyrell bought 6 video games this summer and each game cost 27 dollars.
So to calculate the amount spent, the number of games purchased must be multiplied by the price of each one:
6 video games* 27 dollars each game= 162 dollars
So Tyrell spends 162 dollars.
Money left over after buying the video games.On the other hand, you know that Tyrell had 379 dollars left after he bought the video games.
This indicates that after spending $ 162 on video games, there were $ 379 left over.
Money he started with.To know the amount of money that Tyrell had, you must add the amount spent on games and the money that was left over:
162 dollars + 379 dollars= 541 dollars
So, Tyrell started with $541.
Learn more with this similar examples:
https://brainly.com/question/11757690?referrer=searchResultshttps://brainly.com/question/10823368?referrer=searchResultsTyrell started with 541 $
There are two actions in the question.
First Tyrell bought 6 video games, each game cost 27 $.
Spent
According to that Tyrell spent
6 * 27 = 162 $
Keeps
The second fact is that after shopping Tyrell keeps 379 $.
If Tyrell spent 162 $ and still keeps 379 $, that means that the total amount of money Tyrell had is the sum of the money he spent plus the money he has
Now if we call "x" the quantity of money Tyrrel started with: Then
x = the money Tyrell spent on video games plus the remaining 379 $
Then
x = 162 + 379
x = 541 $
Willing to give brainliest to the best answer! Please show your work! Need help with these 3 problems ASAP!
Answer:
5:05
6
10
Step-by-step explanation:
3:30 + 1 hour = 4:30
4:30 + 35 mins = 5:05 pm
5 days per 1 gallon, 30 days for :
30/5 = 6
500/50 = 10
WHAT IS THE GRADIENT OF THE BLUE LINE?? NEED HELP URGENTLY
Answer:
gradient = - [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Calculate the gradient m using the gradient formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 1, 2) and (x₂, y₂ ) = (3, 1) ← 2 points on the line
m = [tex]\frac{1-2}{3-(-1)}[/tex] = [tex]\frac{-1}{3+1}[/tex] = - [tex]\frac{1}{4}[/tex]
what is the greatest common monomial factor?
Answer:
To find the greatest common factor of two monomials, first find the prime factorization of each monomial, including all the variables (and a – 1 factor if necessary). Then take the product of all common factors. First, find the prime factorization of each monomial. So, the GCF is 3p2r3 .
Step-by-step explanation:
Need help on this!!! 6 points!!!
Answer:
it appears to be FALSE....
f(g(x) = 3(13-2x) -7 = 39 - 6x - 7 = 32 - 6x
h(32-5x) = 6(32-6x)
= 192 - 36x
Step-by-step explanation:
Please solve #5 and explain how you solved it
help with #5 please!!!!!
Answer: Choice A
Explanation:
Notice how the numerators (2,4,6,8) are multiples of 2. So we can say that they are of the form 2k, where k is a whole number from 1 to 4.
If k = 1, then 2k = 2*1 = 2
If k = 2, then 2k = 2*2 = 4
and so on until we reach k = 4 and 2k = 8.
Similarly, the denominators are also multiples of 2. We shift things 1 spot to the right. So we start with 4 instead of 2. So we need to add on 2
If k = 1, then 2k+2 = 2*1+2 = 4
If k = 2, then 2k+2 = 2*2+2 = 6
and so on.
[tex]\displaystyle \sum_{k=1}^{4}\frac{2k}{2k+2} = \frac{2}{4}+\frac{4}{6}+\frac{6}{8}+\frac{8}{10}[/tex]
Which represents the inverse of the function f(x) = 4x?
Answer:
The inverse is 1/4x
Step-by-step explanation:
y = 4x
To find the inverse, exchange x and y
x = 4y
Solve for y
1/4 x = 4y/4
1/4x = y
The inverse is 1/4x = y
Answer:
y = x/4
Step-by-step explanation:
y = 4x
x = 4y
y = x/4
Translate this sentence into an equation.
The sum of 22 and Greg's savings is 65.
Use the variable g to represent Greg's savings.
Answer:
22+g=65
Step-by-step explanation:
take the 22 add (sum) to g (the variable) and have them = 65
2+2
middle school kojvs
Answer:
answer for this question is 4
Step-by-step explanation:
2+2=4
Which correctly shows how to use the GCF and the distributive property to find an expression equivalent to 45 + 72?
O 3(15 + 24)
O 9(5 + 8)
O (5)(9) + (2)(36)
O (3)(15) + (8)(9)
Answer:
9(5+8)
Step-by-step explanation:
mr. Patel travelled from Delhi to Mumbai by road in his car. a). If he travelled in his car 770 km over 22 days, then how many kilometres did he travel in one day?b). A litre of petrol takes Mr Patel’s car a distance of 14 km. How many litres would he need to go 840 km?C). Mr Patel is carrying 326 boxes of sweets in the boot of his car. If each box contains 25 sweets, how many sweets are there in his car?
Answer:
a. 35 Kilometres.
b. 60 litres.
c. 8150 sweets.
Step-by-step explanation:
Given the following data;
Distance traveled = 770 kmNumber of days = 22 daysa. To find how many kilometres he traveled in one day;
770 km = 22 days
X km = 1 day
Cross-multiplying, we have;
22X = 770
X = 770/22
X = 35 Kilometres.
b. To find how many litres he would need to go 840 km;
1 litre = 14 kilometres
X litres = 840
Cross-multiplying, we have;
14X = 840
X = 840/14
X = 60 litres.
c. To find how many sweets are there in his car;
Number of sweet box, Ns = 326 boxes
Number of sweets in each box, Sw = 25 sweets
Total number of sweets = Ns * Sw
Total number of sweets = 326 * 25
Total number of sweets = 8150 sweets.
Instructions: Find the missing segment in the image below plz help me
Answer:
56
Step-by-step explanation:
that is the procedure above
The missing segment in the image below is 8.
The missing segment is the side length of the small triangle that is formed by the two red lines and the green line. We can find the length of this side length by using the Pythagorean Theorem.
The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, the hypotenuse is the missing segment, and the other two sides are 4 and 5.
missing [tex]segment^2[/tex] = [tex]4^2[/tex] + [tex]5^2[/tex]
missing [tex]segment^2[/tex] = 16 + 25
missing [tex]segment^2[/tex] = 41
missing segment = √41
Therefore, the missing segment is √41.
Here are the steps in detail:
Identify the small triangle that is formed by the two red lines and the green line.
Label the sides of the triangle with the letters A, B, and C, where C is the missing segment.
Substitute the known side lengths into the Pythagorean Theorem.
Solve for the length of the missing segment.
To learn more about segment here:
https://brainly.com/question/12622418
#SPJ2
Frank tried to solve an equation step by step.
-5=5(d+4)
-5=5d+20 Step 1
15=5d Step 2
3=d Step 3
Find Frank's mistake
a) Step 1
b) Step 2
c) Step 3
d) Frank did not make a mistake
Answer:
B
Step-by-step explanation:
when grouping the like terms the 20 will become a negative therefore -20-5 is -25 so the 5d has to be divided into -25 and not 15.. making the rest of the answer wrong.
-5-20=5d
-25/5=5d/5
-5=d
I hope this helps
Answer:
Step 2
Step-by-step explanation:
khan
the area of a square postcard is 25 square inches. How long is each side postcard?
Answer:
5 inches
Step-by-step explanation:
To find the area of a square the formula is A = bh which with a square is essentially one side squared. We know this because every side of a square is the same. We also know that 5 squared is 25 meaning the answer is 5 inches(You could also use the formula A = bh : A = 5 x 5 : A = 25).
Answer:
The side is 5 square inches.
Step-by-step explanation:
Area of square formula:
A = s x s or [tex]s^2[/tex]
To figure out the sides, we use this formula:
A = 25 ÷ s = s
But to figure out s = side, think of factors of 25 like this:
25: 1,5,25
Now let's plug in the factors of 25 to figure out the missing side length.
A = 25 ÷ 1 = 25
This is not true.
A = 25 ÷ 5 = 5
This is true.
A = 25 ÷ 25 = 1
This is not true.
So our answer is 5 square inches on each side.
Write the equation of the line in slope-intercept form that passes through (5, –4) and (1, 7).
Answer:
Slope=[tex]\frac{11}{-4}[/tex]
Step-by-step explanation:
A line passes through the point (8,-5) and has a slope of 5/4. Write an equation in slope intercept form for this line.
Answer:
y = 5/4x-15
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = 5/4x+b
Substitute the point into the equation and solve for b
-5 = 5/4(8)+b
-5 = 10+b
Subtract 10 from each side
-5-10 = b
-15 = b
y = 5/4x-15
Step-by-step explanation:
y-y'=m(x-x')
y-(-5)=5/4(x-8)
y+5=5x/4-10
4(y+5)=4(5x/4)-10(4)
4y+20=5x-40
4y-5x=-40-20
4y-5x=-60
5x-4y-60=0
y=5x/4-15
Need helppppp asapppppppppp
Answer: Choice A
x = 19, RZ = 49, and RT = 98
====================================================
How to get that answer:
Z is the midpoint of RT. This midpoint splits segment RT into two equal pieces RZ and ZT
RZ = ZT
4x-27 = 49
4x = 49+27
4x = 76
x = 76/4
x = 19
So far, we can see that the answer is either choice A or choice D.
------------------
If x = 19, then
RZ = 4x-27
RZ = 4*19-27
RZ = 76 - 27
RZ = 49
Which points us to Choice A as the final answer
-------------------
We could skip the second section entirely because we initially set RZ equal to ZT, and ZT was 49. However, I showed that section to help confirm that we had the correct x value.
Also,
RT = RZ + ZT
RT = 49 + 49
RT = 98
Which expression is equivalent to
36÷3+3
a 3x2^+3
b 2^2÷3x3
c 3x2^2÷3
d 2^2+3x3
The triangle below is equilateral. Find the length of side 2 in simplest radical form
with a rational denominator.
x
Submit Answer
Answer: 2
attempt 1 out of 2
PLS HELP
Answer:
[tex]x=\frac{4\sqrt{3}}{3}[/tex]
Step-by-step explanation:
From the figure attached,
ΔABC is an equilateral triangle.
Therefore, by the property of the equilateral triangle,
Measure of each angle = 60°
By applying tangent rule in the right triangle ADC,
[tex]\text{tan}(60^{\circ})=\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
[tex]\sqrt{3}=\frac{4}{x}[/tex]
[tex]x=\frac{4}{\sqrt{3}}[/tex]
[tex]x=\frac{4}{\sqrt{3}}\times \frac{\sqrt{3}}{\sqrt{3} }[/tex]
[tex]x=\frac{4\sqrt{3}}{3}[/tex]
solve 3-x/2 less than or equal to 18
Answer:
x ≥ -30
Step-by-step explanation:
The equation is 3 - x / 2 ≤ 18.
First, subtract 3 on both sides:
- x / 2 ≤ 15.
Multiply by -2 on both sides and swap the less than or equal to sign:
x ≥ -30
Hope this helps!
I NEED THIS BADD BRAINLIEST I WILL GIVEE
Answer:
D
Step-by-step explanation:
He needs to buy 6 items
6 bags of chips
6*2.25= $13.5 so not possible
6 candy bars
6*1.5= $9 so possible
These statements knock out B and C because the dark gray needs to be able to include 6 on the y-axis to show that he could buy 6 candy bars leaving D and A. However, in D it shows that he could actually buy more than 6 candy bars and buy 8 which leaves him with 0 dollars left
8*1.5=$12
Answer:
Step-by-step explanation:
If A=(0,0) and B=(8,2), what is the length of AB
Answer:
[tex]\boxed{\sf Distance_{AB}= 8.24 \ units }[/tex]
Step-by-step explanation:
Here two points are given to us and we need to find the distance between the two points . The given points are , A(0,0) and B(8,2) . The distance between the two points can be found out using the Distance Formula , which is ,
Distance Formula:-
[tex]\sf\implies \green{ Distance =\sqrt{ (x_2-x_1)^2+(y_2-y_1)^2}}[/tex]
Therefore on substituting the respective values ,we can find the Distance as ,
[tex]\sf\longrightarrow Distance = \sqrt{ ( 0 - 8)^2 + (0-2)^2} [/tex]
Simplify the brackets ,
[tex]\sf\longrightarrow Distance =\sqrt{ (-8)^2+(-2)^2}[/tex]
Square the numbers inside the squareroot ,
[tex]\sf\longrightarrow Distance =\sqrt{ 64 + 4} [/tex]
Add the numbers inside the squareroot ,
[tex]\sf\longrightarrow Distance = \sqrt{68} [/tex]
Find the value of squareroot,
[tex]\sf\longrightarrow \boxed{\blue{\sf Distance = 8.24 \ units }}[/tex]
Hence the distance between the two points is 8.24 units .