The volume of the figure (1) is 942 cubic inches.
1) Given that, height = 13 inches and radius = 6 inches.
Here, the volume of the figure = Volume of cylinder + Volume of hemisphere
= πr²h+2/3 πr³
= π(r²h+2/3 r³)
= 3.14 (6²×13+ 2/3 ×6³)
= 3.14 (156+ 144)
= 3.14×300
= 942 cubic inches
So, the volume is 942 cubic inches.
2) Volume = 4×4×5+4×4×6
= 176 cubic inches
Therefore, the volume of the figure (1) is 942 cubic inches.
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472 + 278 + 694 + 73 + 217 =
O 1,734
1,824
O 1,714
O 1,634
Answer:
1734
Step-by-step explanation:
add them
Answer:
the answer to this question is 1734
Is this graph a function ?
Please help
Answer:
Yes
Step-by-step explanation:
To find out whether or not a graph is a function, we can do the vertical line test. If the vertical line only touches one point, then the graph is a function. This is because in a function, an input can only have one output.
If f(x) = 4x+12, find the instantaneous rate of change of f(x) at x = 10 4.
To find the instantaneous rate of change of f(x) at x = 10.4, we need to calculate the derivative of the function f(x) = 4x + 12 and evaluate it at x = 10.4. The derivative represents the rate of change of the function at any given point.
The derivative of f(x) = 4x + 12 is simply the coefficient of x, which is 4. Therefore, the instantaneous rate of change of f(x) at any x-value is always 4. This means that for every unit increase in x, the function f(x) increases by 4.
In this case, we are interested in finding the instantaneous rate of change at x = 10.4. Since the derivative is constant, the instantaneous rate of change at any point on the function is the same as the derivative. Therefore, the instantaneous rate of change of f(x) at x = 10.4 is also 4.
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Mrs.Vega brought a new aquarium for her turtles. How much space will the turtles have in the aquarium if the length is 5.2 ft, the width is 1.8 ft and the height is 2 ft?
Answer:
18.72 cubic feet
Step-by-step explanation:
Volume of the aquarium = lwh
l = 5.2 ft,w = 1.8 fth = 2 ftV = 5.2*1.8*2 = 18.72 cubic feet
What type of numbers is 7.874 rational integer whole natural irrational
Answer:
The real numbers include natural numbers or counting numbers, whole numbers, integers, rational numbers (fractions and repeating or terminating decimals), and irrational numbers. The set of real numbers is all the numbers that have a location on the number line.
Step-by-step explanation:
Which number has a thousands digit that is ten times greater than the hundreds digit?
A. 134,561
O B. 367,244
O C. 552,673
D. 706,623
please help
Answer:
B
Step-by-step explanation:7 is greater than 2
The correct answer is 367,244.
What is number system?Number System is a method of representing Numbers on the Number Line with the help of a set of Symbols and rules. These symbols range from 0-9 and are termed as digits. Number System is used to perform mathematical computations ranging from great scientific calculations to calculations.
Positive Numbers: Numbers that are represented on the right side of the zero are termed as Positive Numbers. The value of these numbers increases on moving towards the right. Positive numbers are used for Addition between numbers. Example: 1, 2, 3, 4, …
Negative Numbers: Numbers that are represented on the left side of the zero are termed as Negative Numbers. The value of these numbers decreases on moving towards the left. Negative numbers are used for Subtraction between numbers. Example: -1, -2, -3, -4, …
as per the situation given,
we have number has a thousands digit that is ten times greater than the hundreds digit.
So, the number is 367244 because 7 is 5 greater than 2.
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the ____ format specifier is used to denote a signed decimal integer.
The "d" format specifier is used to denote a signed decimal integer in various programming languages and formatting systems.
When used in format strings or printf-style functions, the "d" specifier indicates that the corresponding argument should be formatted as a signed decimal integer. It allows for the representation of both positive and negative whole numbers, including zero.
For example, in C programming, the printf function can be used with the "%d" format specifier to display a signed decimal integer value. Similarly, in other languages such as Python, the "{:d}" format specifier can be used with the format() function or string interpolation to represent a signed decimal integer.
Using the "d" specifier ensures that the output is formatted as a base-10 representation of a signed integer, taking into account the sign of the number.
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I need this ASAP PLZ...helpp ...i will give brainlies to the correct answer
Consider the following signal as "original": x(t)=t 3cos(10πt)p2(t−1) for −2≤t≤5, where pT(t) is a rectangular pulse of duration T, denoted by p2(t−1)=u(t−1+2/2)−u(t−1−2/2)=u(t)−u(t−2) Plot the original function x(t) along with the sampled version x5(t), if the sampling period is defined as (a) ts=1 s (b) t S=0.1 s; (c) t s=0.09 s.
To plot the original function x(t) and its sampled versions, we need to consider different sampling periods and apply the sampling process.
The original function is given by:
x(t) = t * 3cos(10πt) * p2(t−1)
(a) For ts = 1s:
The sampling period is 1 second. We need to evaluate x(t) at every 1-second interval within the range -2 to 5.
Sampling points: -2, -1, 0, 1, 2, 3, 4, 5
Evaluate x(t) at each sampling point to get the corresponding sampled values x5(t).
(b) For ts = 0.1s:
The sampling period is 0.1 seconds. We need to evaluate x(t) at every 0.1-second interval within the range -2 to 5.
Sampling points: -2, -1.9, -1.8, ..., 4.9, 5
Evaluate x(t) at each sampling point to get the corresponding sampled values x5(t).
(c) For ts = 0.09s:
The sampling period is 0.09 seconds. We need to evaluate x(t) at every 0.09-second interval within the range -2 to 5.
Sampling points: -2, -1.91, -1.82, ..., 4.91, 5
Evaluate x(t) at each sampling point to get the corresponding sampled values x5(t).
Plot the original function x(t) and the sampled versions x5(t) on separate graphs for each sampling period, showing the sampling points and the waveform.
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Is c = 7 a solution to the inequality below?
3 < 9− c
Answer:
NoStep-by-step explanation:
Where 'c' is, plug its value into the equation:
3 < 9 - 7
Simplify (9-7)
9 - 7 = 2
"The crocodile ALWAYS eats the bigger umber" in true equations
3 < 2 reads: 3 is less than 2
Is 3 less than 2?
No, 3 is greater than 2.
Your answer is 'no'.
-3a + 3 > 33
+
-15 -14 -13 -12 -11 -10 9 -3
Answer:
its 222
Step-by-step explanation: I think :) haha\
Please help asap! Thank you so much!
Answer:
90°Step-by-step explanation:
\(Sum\:of\:angles\:= 540\°\\\\b + (b+45)+90+(2b-90)+\frac{3}{2}b =540 \\\\Expand\: the \: brackets \\b\°+b\°+45\°+90+2b\°-90\°+\frac{3}{2} b=540\\\\Collect \:like\:terms\:and\:simplify\\b\°+b\°+2b\°+\frac{3}{2} b +45+90-90\°=540\°\\\\4b\° + \frac{3}{2} b\° +45\° = 540\°\\\\\frac{11}{2} b = 540\°-45\°\\\frac{11b}{2} = \frac{495}{1}\\ Cross\:Multiply\\11b = 49\°5\times 2\\11b = 990\°\\Divide \:both\:sides\:of\:the\:equation\:by \:11\\\frac{11b}{11} = \frac{990}{11}\\ \\b = 90\°\)
Find the radius of convergence and the interval of convergence
for the following
series.
∑[infinity] (x − 2)n
nn n=1
Problem 2 Find the radius of convergence and the interval of convergence for the following series. [infinity] n=1 (x − 2)n nn
the radius of convergence is 1 and the interval of convergence is (1, 3) in terms of x-values.
To determine the radius of convergence, we can use the ratio test. The ratio test states that if the limit of the absolute value of the ratio of consecutive terms is less than 1 as n approaches infinity, then the series converges. Applying the ratio test to the given series, we have:
lim(n->∞) |((x - 2)^(n+1)/(n+1)) / ((x - 2)^n/n)| < 1
Simplifying the expression, we get:
lim(n->∞) |(x - 2)n+1 / (n+1)(x - 2)^n| < 1
Taking the absolute value and rearranging, we have:
lim(n->∞) |x - 2| < 1
This implies that the series converges when |x - 2| < 1, which gives us the interval of convergence. The radius of convergence is the distance between the center of the series (x = 2) and the nearest point where the series diverges, which in this case is 1.
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PLEASE HELP ME I DONT UNDERSTAND
Answer:
x= 31.0°
Step-by-step explanation:
for this you have to use SohCahToa
as 9cm is opposite the x° this makes the 9cm the opposite
the longer side is always the hypotenuse but we don't need to worry about that side in this case
this means that the 15cm is the adjacent
from the SohCahToa we can find out whether we use sin, cos or tan
the sides we have are a (adjacent) and o ( opposite)
this means we use tan
as we are finding an angle we use tan^-1
tan^1(9/15)=30.96375653
so our angle is 31.0°
Need Help With This -Award 10 Points
Question 10(Multiple Choice Worth 5 points)
(Identifying Functions LC)
The graph represents a relation where x represents the independent variable and y represents the dependent variable.
a graph with points plotted at negative 5 comma 1, at negative 2 comma 0, at negative 1 comma 3, at negative 1 comma negative 2, at 0 comma 2, and at 5 comma 1
Is the relation a function? Explain.
No, because for each input there is not exactly one output.
No, because for each output there is not exactly one input.
Yes, because for each input there is exactly one output.
Yes, because for each output there is exactly one input.
Is the relation a function:
No, because for each input there is not exactly one output.How to know if the relation is a functionTo determine if the relation is a function, we need to check if there is exactly one output for each input.
Looking at the given set of points, we see that there are two points with an x-coordinate of -1: (-1, 3) and (-1, -2).
This means that there are two outputs for the same input, so the relation is not a function.
Therefore, the correct answer is: "No, because for each input there is not exactly one output."
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4(6-3g) algebraic expressions
25/35 Marks
Find the midpoint of A and B where A has coordinates (8, 2)
and B has coordinates (3,8).
Answer:
\(\displaystyle (\frac{11}{2},5)\)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Midpoint Formula: \(\displaystyle (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\)Step-by-step explanation:
Step 1: Define
Point A(8, 2) → x₁ = 8, y₁ = 2
Point B(3, 8) → x₂ = 3, y₂ = 8
Step 2: Find Midpoint
Simply plug in your coordinates into the midpoint formula to find midpoint
Substitute in points [Midpoint Formula]: \(\displaystyle (\frac{8+3}{2},\frac{2+8}{2})\)[Midpoint] [Fraction] Add: \(\displaystyle (\frac{11}{2},\frac{10}{2})\)[Midpoint] Divide: \(\displaystyle (\frac{11}{2},5)\)simplify tan ( t ) / sec ( t ) to a single trig function with no fractions
tan(t)/sec(t) can be simplified to sin(t)/cos(t) * cos(t) which leaves us with just sin(t).
To simplify tan(t)/sec(t), we first need to know that sec(t) is the reciprocal of cos(t), so we can replace sec(t) with 1/cos(t). Next, we can use the identity tan(t) = sin(t)/cos(t) to rewrite the expression as sin(t)/ (1/cos(t)). To simplify the expression further, we can multiply the numerator and denominator by cos(t), which gives us sin(t) * cos(t) / 1. Finally, we can simplify this expression to just sin(t) by canceling out the common factor of cos(t) in the numerator and denominator.
1. Rewrite the given expression in terms of sine and cosine:
tan(t) / sec(t) = (sin(t) / cos(t)) / (1 / cos(t))
2. Simplify the expression by multiplying the numerator and denominator by cos(t):
(sin(t) / cos(t)) * (cos(t) / 1) = sin(t)
The simplified expression of tan(t) / sec(t) is sin(t).
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bacteria in a cetain culture increase at a rate proportional to the number present. if the number of bacteria doubles in three hours, in how many hours will the number of bacteria triple?
Since the rate of bacteria growth is proportional to the number present, we can express this relationship using a differential equation:
dN/dt = kN,
where N is the number of bacteria, t is the time, and k is the constant of proportionality.
Given that the number of bacteria doubles in three hours, we can write:
dN/dt = kN,
dN/N = k dt.
To solve this equation, we integrate both sides:
∫ dN/N = ∫ k dt,
ln(N) = kt + C,
where C is the constant of integration.
Now, let's consider the specific conditions. When the number of bacteria doubles, N/N0 = 2, where N0 is the initial number of bacteria.
ln(2) = k(3) + C,
C = ln(2) - 3k.
Now, let's find the time it takes for the number of bacteria to triple, which means N/N0 = 3:
ln(3) = k(t) + ln(2) - 3k,
ln(3) - ln(2) = k(t) - 3k,
ln(3/2) = k(t - 3),
t - 3 = (ln(3/2))/k,
t = (ln(3/2))/k + 3.
Therefore, in how many hours will the number of bacteria triple is given by (ln(3/2))/k + 3. The value of k depends on the specific growth rate of the bacteria in the culture.
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pls helpppp
Simplify
Answer:
x^2
Step-by-step explanation:
x^3
-------
x
Rewriting
x*x*x
---------
x
Canceling like terms
x*x
------
1
x^2
6(10+z+3)=? HELP IT IS DUE TODAY AND I AM ALMOST DONE!!!!
Answer: 6 (z+13)
Step-by-step explanation:
Answer:
Step-by-step explanation:
10-z=6
We move all terms to the left:
10-z-(6)=0
We add all the numbers together, and all the variables
-1z+4=0
We move all terms containing z to the left, all other terms to the right
-z=-4
z=-4/-1
z=+4
round to the hundredth 3.5262
HI PLASE HELP -3x-4<5
Answer:
-3
Step-by-step explanation:
-3x - 4 < 5
-3x < 9
x < -3
The topic is matrices
\(k \begin{bmatrix} 2&3\\5&6 \end{bmatrix}~~ = ~~ \begin{bmatrix} 6&9\\15&18 \end{bmatrix}\implies \begin{bmatrix} 2k&3k\\5k&6k \end{bmatrix}~~ = ~~ \begin{bmatrix} 6&9\\15&18 \end{bmatrix} \\\\\\ 2k=6\implies k=\cfrac{6}{2}\implies k=3\)
Answer as a each as an algebraic expression.
Answer:
is saying the half of q is 9 so you have to find out the value of q and when you find out the value for example x=18 the half of 18 is 9 I don't know if you undertand my explication
Step-by-step explanation:
18 the half of 18 is 9 because 9+9=18
Simplify (14.1x10^5) - (2.9x10^5). Write your answer in scientific notation.
yall gotta help me i usually understand this but this isnt doing it for me. thank u <3
- gibazy
The value of the expression is 1.12 x 10^6
How to simplify the expression?The expression is given as
(14.1 x 10^5) - (2.9 x 10^5)
Factor out 10^5 from the above expression
So, we have:
(14.1) x 10^5 - (2.9) x 10^5
Factor out 10^5 from the above expression
So, we have:
(14.1- 2.9) x 10^5
Evaluate the difference
11.2 x 10^5
Rewrite as
1.12 x 10^6
Hence, the value of the expression is 1.12 x 10^6
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Answer:
The value of the expression is 1.12 x 10^6
Step-by-step explanation:
steve started with$250 and spent $25 per week. Use x for time and y for savings.write an equation to represent the situation and graph equation.
Answer:
y = 250-25x
Step-by-step explanation:
a group of 10 persons went to see a concert of their favorite band. it cost tem a total of 1,800 pesos for the 10 tickets. if everyone paid for their own ticket, then how much did each person pay? If four of them volunteered to pay the total cost. then how much did each person of them pay?
Answer: If everyone pays for their own ticket then each person paid 180 pesos per person. If four of them volunteered to pay the total, then each of the four people paid 450 pesos.
Step-by-step explanation:
If each person paid for their own ticket then you would divide 1,800 (total pesos amount) by 10 (total amount of people). This will equal 180, therefore each person will pay 180 pesos.
If 4 people volunteer to pay the total, then you will divide 1,800 (total amount of pesos) by 4 (total amount of people paying). This equals 450, therefore each person would pay 450 pesos.
I hope this helps you :)
idk. just say random multiples of 24.
Answer:
Which unit rate is equivalent to 14 miles per gallon? (1 point
Step-by-step explanation:
i am so glad to hear you are Incredible in messages and please contact us at the free points and see what hi rjha is the most important to you to you amanpreet your support for your support for your child to be a child of your
Answer:
48,72,96,120,144,168,192,216,240,264,288,312,336,360,384,408,432,456
Step-by-step explanation: