Answer:
Lateral area of the cylinder = 62.85 cm²
Step-by-step explanation:
Given:
Diameter of cylinder = 10 cm
Radius of cylinder = 10 / 2 = 5 cm
Height of cylinder = 2 cm
Find:
Lateral area of the cylinder
Computation:
Lateral area of the cylinder = 2πrh
Lateral area of the cylinder = 2(22/7)(5)(2)
Lateral area of the cylinder = 2(22/7)(10)
Lateral area of the cylinder = (440/7)
Lateral area of the cylinder = 62.85 cm²
PLZ HELP I NEED IT RIGHT NOW
Answer:
1) = 9³
2) = 4*4*4*4*4
= 4 to the fifth power
Step-by-step explanation:
Write and solve an equation to find the unknown side length x
(in feet).
Perimeter =34.6
ft
Answer:
We want to find the value of 'x' and we are asked to set up an equation to find the value of x. In equation we must remember to get all the numerical values to one side and all the non-numerical values to the other while remembering to keep the equation balanced for example if we add 4 on one side we must do it to the other side to keep the equation balanced so, → x + 5.2 + 11.1 + 6.4 = 34.6 ⇒ Simplify equation → x + 22.7 = 34.6 ⇒ Minus 22.7 from both sides to isolate x → x = 11.9 feet
Step-by-step explanation:
mark brainliest
Answer:
1.08 feet
Step-by-step explanation:
5.2+6.4+11.1+x = 34.6
11.1x = 34.6 - 22.7
11x = 11.9
x = 11.9/11
1.08 feet
What is the value of the expression shown below? (4 points) 2 over 3 to the power of 2 + 5 × 2 − 4
Answer:
6 4/9Step-by-step explanation:
2 over 3 to the power of 2 + 5 × 2 − 4
[tex](2/3)^2+5*2-4=[/tex][tex]4/9 + 10-4=[/tex][tex]4/9+6=[/tex]6 4/9(2/3)^2 +5×2−4
=4/9 + 10-4
=4/9+10−4
=4/9+6
= [tex]6 \frac{4}{9} [/tex]
Therefore, 6 4/9 is ur answer
7: 8: 9 = .... : 12 : ....
plz help
Step-by-step explanation:
7:8:9=10.5:12:13.5.
hope this helps you.
Is your answer to problem 1a greater than, less than or equal to the answer in
the Example? Why?
Answer:
You forgot to put the picture please redo and ill edit my answer
Step-by-step explanation:
This graph shows the altitude of a helicopter over time.
What is the slope of the line and what does it mean in this situation?
The slope is –2000 . This means that the helicopter descends 2000 ft each minute.
The slope is –400 . This means that the helicopter descends 400 ft each minute.
The slope is 400. This means that the helicopter ascends 400 ft each minute.
The slope is 2000. This means that the helicopter ascends 2000 ft each minute.
Answer:
B. The slope is –400
Answer: -400
Step-by-step explanation:
SORMONE PLEASE HELP ME!! ASAP ILL MARK BRAINLIEST!!!
Answer:
C
Step-by-step explanation:
To write the equation of line when slope and one point is given
[tex]y2 - y1 = m(x2 - x1)[/tex]
here m = 3/4
(x1,y1) = 3,-2
Substitute all the values in Formula
[tex]y + 2 = \frac{3}{4} (x - 3) \\ y + 2 = \frac{3}{4} x - \frac{9}{4} \\ y = \frac{3}{4} x - \frac{9}{4} - 2 \\ = \frac{3}{4} x - \frac{17}{4} \\ 4y = 3x - 17 \\ - 3x + 4y = - 17[/tex]
multiply by 4 on both sides
[tex]4y = 3x - 17 \\ - 3x + 4y = - 17[/tex]
Vihat is half of 7 minutes 24 seconds?
Answer:
3 Minutes 42 Seconds
Step-by-step explanation:
Half of 7 minutes is 3 minutes and 30 seconds, half of 24 seconds is 12 seconds. If you add the halfed times together you get a total of 3 minutes 42 seconds.
Cheryl bought 16 pounds of apples for $12. How much did it cost per
Sund of apples?
$192
$0.75
$1.33
$28
Answer:
.75
Step-by-step explanation:
$12 / 16 = $0.75
(9+8i)(5-5i) in standard form
Answer:
40i²-5i+45
Step-by-step explanation:
(9+8i)(5-5i)9(5-5i)+8i(5-5i)45-45i+40i-40i²45-5i-40i²40i²-5i+45Need helpppppppppppppppppp
Answer:
A child experiencing emotional.........
What is the equation of the blue line?
Answer:
y = 4x - 3
Step-by-step explanation:
When writing an equation of a line, keep in mind that you always need the following information in order to determine the linear equation in slope-intercept form, y = mx + b:
1. 2 sets of ordered pairs (x, y)
2. Slope (m)
3. Y-intercept (b)
First, we need to choose 2 points from the graph to solve for the slope:
Let (x1, y1) = (0, -3)
(x2, y2) = (1, 1)
Use the following slope formula:
[tex]m = \frac{y2 - y1}{x2 - x1}[/tex]
Substitute the values of the coordinates into the formula:
[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{1 - (-3)}{1 - 0} = \frac{1 + 3}{1} = \frac{4}{1} = 4[/tex]
Therefore, the slope (m) of the line = 4.
Next, we need the y-intercept, (b). The y-intercept is the y-coordinate of the point where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0. The y-coordinate of the point (0, -3) is the y-intercept. Hence, the y-intercept (b) = -3.
Given our slope, m = 4, and the y-intercept (b) = -3, the linear equation is:
y = 4x - 3
Please mark my answers as the Brainliest if you find my explanations/solution helpful :)
4x = 16.
What is the best action to use to solve
And the property that justifies that action
Answer:
[tex]\sf\longmapsto \: x = 4[/tex]
Step-by-step explanation:
[tex]\sf\longmapsto \: 4x = 16[/tex]
[tex]\sf\longmapsto \: x = \frac{16}{4} [/tex]
[tex]\sf\longmapsto \: x = 4[/tex]
Simplify the expression:
7 + -10c2 + 100
Simplify the expression:
7 + -10c² + 100
collect like terms:
7+100-10c²
107-10c²
If you meant, 7+ -10c² + 10c, then it can't be simplified further as there are no like terms.
maths is not my thing
Answer:
If you are looking for the number of faces/sides….
Step-by-step explanation:
1:6
2: 5
3: 8
4:5
5:5
6:5
Hope this helps
Dont forget to smash that heart at the bottom <3
Have a great day,you’re amazing !
Plz Mark Brainliest
Lmk if its right I’m not sure whether number 2 is 4 or 5
I haven’t done shapes in a while .-.
OLEASE HELP ME ITS ALGEBRA THANK YOUUUU
Answer:
$8,704
Step-by-step explanation:
I need some help with this(ratio)(need explanation)
Find the midpoint of the line segment joining the points P, and P2
P1 = (2, -5); P2 = (4.9)
The spread of a virus is modeled by V (t) = −t 3 + t 2 + 12t,
where V (t) is the number of people (in hundreds) with the virus and t is the number of weeks since the first case was observed.
(a) Sketch V (t).
(b) What is a reasonable domain of t for this problem?
(c) Find the average rate of infection from t = 0 to t = 2.
(d) Find the instantaneous rate of infection as a function of t using the limit definition of the derivative.
(e) Find V (2) and V ‘ (2). Write a sentence interpreting V (2) and V ‘ (2) in terms of the number of infected people. Make sure to include units.
(f) Sketch the tangent line to the graph you drew in a. at the point (2, V (2)). State the slope of the tangent line.
(g) Use V (2) and V ‘ (2) to estimate the value of V (2.1).
(h) Find the maximum number of people infected at the same time and when the maximum occurs. Determine the rate of infection at this time.
Functions can be used to model real life scenarios
The reasonable domain is [tex]\mathbf{[0,\infty)}[/tex].The average rate of change from t = 0 to 2 is 20 persons per weekThe instantaneous rate of change is [tex]\mathbf{V'(t) = -3t^2 + 2t + 12}[/tex].The slope of the tangent line at point (2,V(20) is 10 The rate of infection at the maximum point is 8.79 people per weekThe function is given as:
[tex]\mathbf{V(t) = -t^3 + t^2 + 12t}[/tex]
(a) Sketch V(t)
See attachment for the graph of [tex]\mathbf{V(t) = -t^3 + t^2 + 12t}[/tex]
(b) The reasonable domain
t represents the number of weeks.
This means that: t cannot be negative.
So, the reasonable domain is: [tex]\mathbf{[0,\infty)}[/tex]
(c) Average rate of change from t = 0 to 2
This is calculated as:
[tex]\mathbf{m = \frac{V(a) - V(b)}{a - b}}[/tex]
So, we have:
[tex]\mathbf{m = \frac{V(2) - V(0)}{2 - 0}}[/tex]
[tex]\mathbf{m = \frac{V(2) - V(0)}{2}}[/tex]
Calculate V(2) and V(0)
[tex]\mathbf{V(2) = (-2)^3 + (2)^2 + 12 \times 2 = 20}[/tex]
[tex]\mathbf{V(0) = (0)^3 + (0)^2 + 12 \times 0 = 0}[/tex]
So, we have:
[tex]\mathbf{m = \frac{20 - 0}{2}}[/tex]
[tex]\mathbf{m = \frac{20}{2}}[/tex]
[tex]\mathbf{m = 10}[/tex]
Hence, the average rate of change from t = 0 to 2 is 20
(d) The instantaneous rate of change using limits
[tex]\mathbf{V(t) = -t^3 + t^2 + 12t}[/tex]
The instantaneous rate of change is calculated as:
[tex]\mathbf{V'(t) = \lim_{h \to \infty} \frac{V(t + h) - V(t)}{h}}[/tex]
So, we have:
[tex]\mathbf{V(t + h) = (-(t + h))^3 + (t + h)^2 + 12(t + h)}[/tex]
[tex]\mathbf{V(t + h) = (-t - h)^3 + (t + h)^2 + 12(t + h)}[/tex]
Expand
[tex]\mathbf{V(t + h) = (-t)^3 +3(-t)^2(-h) +3(-t)(-h)^2 + (-h)^3 + t^2 + 2th+ h^2 + 12t + 12h}[/tex][tex]\mathbf{V(t + h) = -t^3 -3t^2h -3th^2 - h^3 + t^2 + 2th+ h^2 + 12t + 12h}[/tex]
Subtract V(t) from both sides
[tex]\mathbf{V(t + h) - V(t)= -t^3 -3t^2h -3th^2 - h^3 + t^2 + 2th+ h^2 + 12t + 12h - V(t)}[/tex]
Substitute [tex]\mathbf{V(t) = -t^3 + t^2 + 12t}[/tex]
[tex]\mathbf{V(t + h) - V(t)= -t^3 -3t^2h -3th^2 - h^3 + t^2 + 2th+ h^2 + 12t + 12h +t^3 - t^2 - 12t}[/tex]
Cancel out common terms
[tex]\mathbf{V(t + h) - V(t)= -3t^2h -3th^2 - h^3 + 2th+ h^2 + 12h}[/tex]
[tex]\mathbf{V'(t) = \lim_{h \to \infty} \frac{V(t + h) - V(t)}{h}}[/tex] becomes
[tex]\mathbf{V'(t) = \lim_{h \to \infty} \frac{ -3t^2h -3th^2 - h^3 + 2th+ h^2 + 12h}{h}}[/tex]
[tex]\mathbf{V'(t) = \lim_{h \to \infty} -3t^2 -3th - h^2 + 2t+ h + 12}[/tex]
Limit h to 0
[tex]\mathbf{V'(t) = -3t^2 -3t\times 0 - 0^2 + 2t+ 0 + 12}[/tex]
[tex]\mathbf{V'(t) = -3t^2 + 2t + 12}[/tex]
(e) V(2) and V'(2)
Substitute 2 for t in V(t) and V'(t)
So, we have:
[tex]\mathbf{V(2) = (-2)^3 + (2)^2 + 12 \times 2 = 20}[/tex]
[tex]\mathbf{V'(2) = -3 \times 2^2 + 2 \times 2 + 12 = 4}[/tex]
Interpretation
V(2) means that, 20 people were infected after 2 weeks of the virus spread
V'(2) means that, the rate of infection of the virus after 2 weeks is 4 people per week
(f) Sketch the tangent line at (2,V(2))
See attachment for the tangent line
The slope of this line is:
[tex]\mathbf{m = \frac{V(2)}{2}}[/tex]
[tex]\mathbf{m = \frac{20}{2}}[/tex]
[tex]\mathbf{m = 10}[/tex]
The slope of the tangent line is 10
(g) Estimate V(2.1)
The value of 2.1 is
[tex]\mathbf{V(2.1) = (-2.1)^3 + (2.1)^2 + 12 \times 2.1}[/tex]
[tex]\mathbf{V(2.1) = 20.35}[/tex]
(h) The maximum number of people infected at the same time
Using the graph, the maximum point on the graph is:
[tex]\mathbf{(t,V(t) = (2.361,20.745)}[/tex]
This means that:
The maximum number of people infected at the same time is approximately 21.
The rate of infection at this point is:
[tex]\mathbf{m = \frac{V(t)}{t}}[/tex]
[tex]\mathbf{m = \frac{20.745}{2.361}}[/tex]
[tex]\mathbf{m = 8.79}[/tex]
The rate of infection is 8.79 people per week
Read more about graphs and functions at:
https://brainly.com/question/18806107
find the slope of (-1,3) and (-5,7)
Answer:
-4/4 = -1
Step-by-step explanation:
yeah-ya...... right?
******Please help me please help me help please help*****
Answer:
5 would be the dependent variable.
Step-by-step explanation:
5 would be the dependent variable because that is the number that is that depends on the others in the equation for it to be the final answer.
Answer:
180
Step-by-step explanation:
k = 72/2=36
y =kx
y =36(5)
y = 180
If you can clean 1/6 of your bedroom in 15 minutes, what is your rate per hour?
Your brother is 1/3 your age your sister is four years older than your brother your sister is nine years old right in equation to find your age X.
Answer:
you are 15
Step-by-step explanation:
9-4=5
5x3=15
Write the equation of the line with x-intercept of -4 and y-intercept of 2. Hint:With those intercepts, (-4,0) and (0,2) are points on the line.
1.) -4x + 2y = 8
2.) 4x – 2y = -8
3.) 2x + 4y = 8
4.) 2x – 4y = -8
Answer
2.) 4x - 2y = -8
The equation of the line having an x-intercept of -4 and y-intercept of 2 is 2x - 4y = -8 so, option 4 is correct.
What is line?A simple line in Euclidean geometry. A line, according to Euclid, is the distance between two points and can stretch forever in either direction. While Euclid's initial definition is now regarded as a line segment, such an extension in both directions is now thought of as a line.
Given:
The lines with an x-intercept of -4 and y-intercept of 2,
The coordinates can be written as (-4,0) and (0,2),
Write the equation of the line as shown below,
y - 2 = (2 - 0) / (0 - (-4)) (x - 0)
y - 2 = 2 / 4 x
y - 2 = 1 / 2 x
2y - 4 = x
x - 2y = -4 or 2x - 4y = -8
Thus, the equation of the line is 2x - 4y = -8.
To know more about the line:
https://brainly.com/question/2696693
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Overdraft protection can be set up to which of the following accounts?
a. Savings account
b. Credit Card
c. A line of credit
d. All of the above
A fast-food restaurant sells hamburgers and chicken sandwiches. On a typical weekday the demand for hamburgers is normally distributed with mean 313 and standard deviation of 57; the demand for chicken sandwiches is normally distributed with mean 93 and standard deviation 22.
Answer:
Cool can i come?
Step-by-step explanation:
7.486 to 7.5 Place value
Answer:
The tenths place
4 is in the tenths place of 7.486
Step-by-step explanation:
Please hurry
If you apply the changes below to the cubic parent function, Fx) = x2, what is
the equation of the new function?
• Reflect across the y-axis.
Vertically compress by multiplying by : 1/4
9514 1404 393
Answer:
D. J(x) = 1/4(-x)^3
Step-by-step explanation:
Reflection across the y-axis replaces x with -x. Then if Fr(x) represents the reflected function, we have ...
Fr(x) = (-x)^3.
Compression by a factor of c < 1 multiplies the function value by c. Then ...
J(x) = 1/4·Fr(x)
J(x) = (1/4)(-x)^3
It takes one Super Giant Pizza to feed 3 people. If you invite 36 people, how many pizzas will you need?
Answer:
12 Super Giant Pizzas
Step-by-step explanation:
36 ÷ 3 = 12
Answer:
Step-by-step explanation:
You will need to get 12 pizzas
Explanation:36÷3=12
solve pls brainliest
Answer: 0.2
happy learning