Answer:
The radius of each base is 4.46 inches.
Step-by-step explanation:
The surface area (SA) of a cylinder is given by:
[tex]SA = 2\pi rh + 2\pi r^{2} = 325[/tex] (1)
Where:
r: is the radius of each base
h: is the height of the cylinder
Now, the lateral area (LA) is:
[tex]LA = 2\pi rh = 200[/tex] (2)
Hence, by entering equation (2) into equation (1) we have:
[tex] SA = LA + 2\pi r^{2} [/tex]
[tex] 325 = 200 + 2\pi r^{2} [/tex]
[tex] r = \sqrt{\frac{325 - 200}{2\pi}} = 4.46 in [/tex]
Therefore, the radius of each base is 4.46 inches.
I hope it helps you!
A rectangular prism has a volume of 344 cubic units. Find its volume of two dimensions were doubled, and a third dimension was tripled
Answer: 4128
Step-by-step explanation:
Ashton estimates the square root of 50 in the following way: Complete sentences √50= 2√25=2×5=10
Answer:
[tex]\sqrt{50} = \sqrt{2*5*5}= 5\sqrt{2}[/tex]
640 divided by 16= 16 divided by 16 =1
A survey showed that 90% of students would select roller coasters as their favorite ride at an
amusement park. Out of 5,000 students predict how many wouldselect roller coasters as
their favorite ride?
Answer:
4500 students
Step-by-step explanation:
5000 / 100 = 50
50 x90 = 4500 :D
If m∠2=4x and m∠4=3x- 8. I have to fine m∠1
Answer:
c
Step-by-step explanation:
gcf of 6x^2 and 18x^5
The answer is 6x^2. To find this, just find the greatest factor of each question, aka the greatest "common" factor (GCF), of both since it is the greatest factor they each have in common. Hope this helps!
Determine the approximate value of ø
a)41.89
b) 48.20
c)33.70
d)56.30
Answer:
B,48.2
Step-by-step explanation:
To solve this we need to use SOH, CAH, TOA
we have the adjacent and hypotonouse so it's easiest to use CAH
let theta (angle) = x
cos(x)=4/6
to cancel the cos mulitply both sides by cos^-1 (2nd --> cos)
x=48.1896851
which rounds to 48.2
10 points!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
12467 x 1209
whats the answer
Answer:
12467 x 1209 = 15,072,603
Step-by-step explanation:
You can always use a calculator to check your answers!
If this helped, please give it brainliest!
Answer:
15072603
Step-by-step explanation:
hope this helps :)
Zoe and hannah share tips in the ratio 3:7 last week zoe recieved £24 how much did hannah recive last week
Answer:
56
Step-by-step explanation:
Zoe and Hannah shared tips in the ratio
3:7
Last week Zoe received $24
Hence the amount received by Hannah can be calculated as follows
3/7= 24/x
168= 3x
x= 168/3
= 56
Hence Hannah received €56
HELP
2/3 of the students in Lindsey's class are girls. Of the girls, 1/2 of them play a musical Instrument. What fraction of the
students play a musical Instrument? Choose the model that matches the situation.
Answer:
2/6 so the last box
Step-by-step explanation:
2/3 divided into 2 pieces equals 2/6 because thirds are two times the size as sixths.
Answer:
The last box
Step-by-step explanation:
what is the behavior of the graph y =-x^3-5x^2-3+9 at each of its zeros
The behavior of the graph of the function y = -x^3 - 5x^2 - 3x + 9 at each of its zeros is as follows:
At x ≈ -4.919 and x ≈ -0.488, there are local minima.
At x ≈ 1.752, there is a local maximum.
Let's analyze the behavior of the graph of the function y = -x^3 - 5x^2 - 3x + 9 at each of its zeros in more detail.
To find the zeros of the function, we need to solve the equation -x^3 - 5x^2 - 3x + 9 = 0.
To simplify the calculations, let's use a numerical method like the Newton-Raphson method to approximate the zeros. We'll start with initial guesses and iteratively refine them to improve the accuracy of the solutions.
Initial guess: x_0 ≈ -5
Applying the Newton-Raphson method:
x_1 = x_0 - f(x_0) / f'(x_0)
where f(x) = -x^3 - 5x^2 - 3x + 9
f'(x) = -3x^2 - 10x - 3 (derivative of f(x))
x_1 = -5 - (-5^3 - 5(-5)^2 - 3(-5) + 9) / (-3(-5)^2 - 10(-5) - 3)
≈ -4.919
Initial guess: x_0 ≈ -1
Applying the Newton-Raphson method:
x_1 = x_0 - f(x_0) / f'(x_0)
x_1 = -1 - (-1^3 - 5(-1)^2 - 3(-1) + 9) / (-3(-1)^2 - 10(-1) - 3)
≈ -0.488
Initial guess: x_0 ≈ 2
Applying the Newton-Raphson method:
x_1 = x_0 - f(x_0) / f'(x_0)
x_1 = 2 - (2^3 - 5(2)^2 - 3(2) + 9) / (-3(2)^2 - 10(2) - 3)
≈ 1.752
After iterating through the Newton-Raphson method, we approximate the zeros as follows:
x ≈ -4.919
x ≈ -0.488
x ≈ 1.752
Now, let's analyze the behavior of the graph at each zero:
x ≈ -4.919:
When x is close to -4.919, y is close to zero. Since the coefficient of the leading term (-x^3) is negative, as x approaches -4.919 from the left side, the graph of the function will be decreasing. As x approaches -4.919 from the right side, the graph will be increasing. Therefore, the behavior of the graph near x ≈ -4.919 is a local minimum.
x ≈ -0.488:
When x is close to -0.488, y is close to zero. Similarly, as x approaches -0.488 from the left side, the graph will be decreasing, and as x approaches -0.488 from the right side, the graph will be increasing. Therefore, the behavior of the graph near x ≈ -0.488 is also a local minimum.
x ≈ 1.752:
When x is close to 1.752, y is close to zero. In this case, as x approaches 1.752 from the left side, the graph will be increasing, and as x approaches 1.752 from the right side, the graph will be decreasing. Therefore, the behavior of the graph near x ≈ 1.752 is a local maximum.
for such more question on graph
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Find the second, fourth, and eleventh terms of the sequence A(n) = 5 + (n - 1)(-3)
Answer:
2nd: 2
4th: -4
11th: -25
Step-by-step explanation:
When you substitute a number into the equation you get that number term. So, if you substituted in 1, you get the first term. To find the second term, you substitute in 2:
A(2) = 5 + (2 - 1)(-3)
A(2) = 5 + (1)(-3)
A(2) = 5 - 3
A(2) = 2
To get the 4th term you substitute in 4:
A(4) = 5 + (4 - 1)(-3)
A(4) = 5 + (3)(-3)
A(4) = 5 - 9
A(4) = -4
And we do the same for the 11th term:
A(11) = 5 + (11 - 1)(-3)
A(11) = 5 + (10)(-3)
A(11) = 5 - 30
A(11) = -25
HELPpppp MeeeeE PLZ!!!!!!!!
Answer:
answer is a
Step-by-step explanation:
What is the final amount if 700 is increased by 4% followed by a further 3% increase?
Give your answer rounded to 2 DP
janet makes the conjecture that line p is also parallel to line r . What must the value of y be for her conjecture to be correct?
show your work!!! am off 75 points and brainliest answer.
Answer:
A. 6.75
Step-by-step explanation:
8x+18=4x+57
8x-4x=57-18
4x=39
4x+57=180-(8y+30)
39+57=180-8y-30
96=150-8y
8y=150-96
= 54
y= 54/8 = 6.75
Evaluate the following expression when x = 4 and y = 2.
x²+y3
3
Answer:
24
Step-by-step explanation:
x^2+y^3
(4)^2+(2)^3
(4)(4)+(2)(2)(2)
16+8=24
can anyone solve this? question on image
Answer:
Negative integers
Step-by-step explanation:
what is the formula of a²-b²?
Answer:
The formula of a²-b² are as follows:
Step-by-step explanation:
(a-b)(a+b)
(a-b)(a+b) is the answer
THIS IS AREA OF CIRCLES PLS ANSWER
Answer:
75ft^2
Step-by-step explanation:
A = pi*r^2
The circle already gives the diameter and the diameter is two times the radius, so if you were to divide the diameter by two, you would get 5.
Knowing the radius is 5 and seeing how they replaced pi with 3 we can set up the equation.
3*(5)^2 = A
Simplify
3*25
Multiply
Area=75ft^2
5x−4y=−10
y=2x−5
x=x=x, equals
y=y=y, equals
Answer:
✎ ANSWER:-[tex]y = 2x - 5[/tex]
Substitute the value of y as 2x - 5 in the equation.
[tex]5x - 4y = - 10 \\ 5x - 4(2x - 5) = - 10 \\ 5x - 8x + 20 = - 10 \\ 5x - 8x = - 10 - 20 \\ - 3x = - 30 \\ x = \frac{ - 30}{ - 3} \\ x = 10[/tex]
Now, find the value of y
[tex]y = 2x - 5 \\ y = 2(10) - 5 \\ y = 20 - 5 \\ y = 15[/tex]
⎇ x = x = x, equals 10
⎇ y = y = y, equals 15
Answer:
if y = 2x-5
then in the second equation we can find the value of x
5x-4(2x-5) = -10
5x-8x+20 = -10
-3x = -30
x = 10
then the value of y = 20-5 = 15
therefore the value of x = 10 and y =15 (ans)
Hope it helps
heyy! i’ll give brainliest please help
Answer:
A
Step-by-step explanation:
Just A!
Answer:
Step-by-step explanation:
Never capitalize the seasons
HELP! PLS! it's an emergency!! I'll give brainliest!
Answer:
1. 26
2. 154
3. 26
4. 26
5. 154
6. 154
7. 26
Step-by-step explanation:
1 = 26°
2 = 154°
3 = 26°
4 = 26°
5 = 154°
6 = 154°
7 = 26°
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Someone help me with this please ASAP thank you
Answer: B. 20
Step-by-step explanation: 1/5 of 25 is 5 and 5 of those are red so 25-5=20
Answer:
B
Step-by-step explanation:
20 of the cards are different colors than red because 1/5 of 25 is 5
Type the missing number that makes these fractions equal:
?/26=8/13
Answer:
16/26=8/13
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
the denominator is double of 13, using that logic multiply 8 by 2 to get 16
When a graph is symmetric about the origin, it is an function.
When a graph is symmetric about the y-axis, it is an function.
A function is considered if f(-x) =
f(x), and it is considered
=
if f(-x) = -f(x).
Answer:
odd; even; even; odd
Step-by-step explanation:
The answers are odd, even, even, and odd respectively the graph is symmetric about the y axis it is an even function.
What is a function?It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We know when the graph is symmetric about the origin it is an off function.
When the graph is symmetric about the y axis it is an even function.
When f(-x) = f(x) it is an even function
When f(-x) = -f(x) it is an odd function.
Thus, the answers are odd, even, even, and odd respectively the graph is symmetric about the y axis it is an even function.
Learn more about the function here:
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» wipt is to sum in simplest form?
41 +1% = 0
6
5
10
1
10
54
Please help!
Answer:
6 1/10
Step-by-step explanation:
4,5 + 1,6 = 6,1 = 6 1/10
hey! please help i’ll give brainliest!
Answer:
Hello! Your answer is, A) The arrow pointing to the right
Step-by-step explanation:
Hope I helped! Ask me anything if you have any questions! Brainiest plz! Hope you make an 100% and have a wonderful day! -Amelia♥
Answer:
Step-by-step explanation:
The answer is a
5/8x64= what is the answer
Answer:
40 is the answer
hope this helps
have a good day :)
Step-by-step explanation: