A cylinder has a radius of 5x + 4 and a height of 2x + 5. Which polynomial in standard form best describes the total volume of the cylinder? Use the formula v=πr²h for the volume of a cylinder
Answer:
Step-by-step explanation:
Volume = pi·(r^2)*h
r = radius = (5x+4)
h = height = (2x+5)
Volume = pi·(r^2)
Volume = pi·(5x+4)^2*(2x+8)
Volume = pi·(25x^2+40x+16)*(2x+8)
Volume = pi·(50x^2+80x+32+200x^2+32x+128)
Volume = pi·(250x^2+112x+160)
unit used to measure humidity
Explain why there are infinitely many solutions to the equation
sin X = 1/2
Answer:
Well, everything can be turned into a half.
Step-by-step explanation:
plzzzzz I will mark u as the brillianest plzzzzzzzzzzzzzzzzzzzz
Answer:
0.05%
Step-by-step explanation:
Find a formula for dy/dx if sin x + cos y + sec(xy) = 251
Answer:
[tex]\displaystyle \frac{dy}{dx} = \frac{-cos(x) - ysec(xy)tan(xy)}{-sin(y) + xsec(xy)tan(xy)}[/tex]
General Formulas and Concepts:
Pre-Algebra
Distributive Property
Algebra I
FactoringCalculus
Derivatives
Derivative Notation
Derivative of a constant is 0
Trig Differentiation
Derivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Implicit Differentiation
Step-by-step explanation:
Step 1: Define
Identify
sin(x) + cos(y) + sec(xy) = 251
Step 2: Differentiate
[Implicit Differentiation] Trig Differentiation [Chain Rule]: [tex]\displaystyle cos(x) - sin(y)\frac{dy}{dx} + sec(xy)tan(xy) \cdot (y + x\frac{dy}{dx}) = 0[/tex] [Subtraction Property of Equality] Isolate [tex]\displaystyle \frac{dy}{dx}[/tex] terms: [tex]\displaystyle -sin(y)\frac{dy}{dx} + sec(xy)tan(xy) \cdot (y + x\frac{dy}{dx}) = -cos(x)[/tex][Distributive Property] Distribute sec(xy)tan(xy): [tex]\displaystyle -sin(y)\frac{dy}{dx} + ysec(xy)tan(xy) + xsec(xy)tan(xy)\frac{dy}{dx} = -cos(x)[/tex][Subtraction Property of Equality] Isolate [tex]\displaystyle \frac{dy}{dx}[/tex] terms: [tex]\displaystyle -sin(y)\frac{dy}{dx} + xsec(xy)tan(xy)\frac{dy}{dx} = -cos(x) - ysec(xy)tan(xy)[/tex]Factor out [tex]\displaystyle \frac{dy}{dx}[/tex]: [tex]\displaystyle \frac{dy}{dx}[-sin(y) + xsec(xy)tan(xy)] = -cos(x) - ysec(xy)tan(xy)[/tex][Division Property of Equality] Isolate [tex]\displaystyle \frac{dy}{dx}[/tex]: [tex]\displaystyle \frac{dy}{dx} = \frac{-cos(x) - ysec(xy)tan(xy)}{-sin(y) + xsec(xy)tan(xy)}[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Implicit Differentiation
Book: College Calculus 10e
The temperature of the water in a coffeepot does not exceed 210 ° Fahrenheit. Let t be the temperature of the water in the coffeepot. Question Move a number, a variable, and a symbol to the line to create an inequality that represents this situation.
Answer:
t ≤ 210°
Step-by-step explanation:
If the temperature of the water in a coffeepot does not exceed 210°, this means that the temperature cannot be more than 210° and the required inequality sign that fits is ≤ (less than or equal to).
Since t is the temperature of the water in the coffeepot, the required inequality expression will be t ≤ 210°
express Rs 1.50 as a percentage of 200 cents
1 $ = 100 cents
1.5 $ = 150 cents
1.50 $ a percentage of 200 cents = (150/200)100= 75%
Whats -0.5 rounded to the nearest 10th
Answer:
-0.5 is rounded to the nearest tenth
Step-by-step explanation:
Answer:
it would be -0.5
Step-by-step explanation:
tenth means 1dp the number after it would determine it but there is a zero after the 5 which means that it stays the same.
HELP!!!! ASAP
NO LINKS!!!!
Answer:
17.98
Step-by-step explanation:
We can use the sum of a finite geometric series formula(in the picture). We can start by plugging in what we have. As of now, we have the first term, 12 and by dividing a term by a previous term, we can tell that the common ratio, r is 1/3. Lastly, we can say that n is equal to 6, because we are looking for the sum of the first 6 terms. After substituting we get:
[tex]\frac{12 - 12*(\frac{1}{3})^6}{1-\frac{1}{3} }[/tex]
We can start by simplifying:
[tex]\frac{12-12(\frac{1}{729}) }{\frac{2}{3} }[/tex]
[tex]\frac{\frac{2916}{243} -\frac{4}{243} }{\frac{2}{3} }[/tex]
[tex]\frac{\frac{2912}{243} }{\frac{2}{3} }[/tex]
[tex]\frac{2912}{243}*\frac{3}{2}[/tex]
[tex]\frac{1456}{81}[/tex]
17.975308642
This can be rounded to 17.98
Answer:
17.98Step-by-step explanation:
Given:
a₁ = 12r = 1/3n = 6Find the sum:
Sₙ = 12(1 - (1/3)⁶)/(1 - 1/3) = 12(1 - 1/729) / (2/3) = 18(728/729) = 17.98 roundedPLEASE HELPPP, ITS DUE IN 1 HOUR!! I WILL GIVE BRAINLIEST!! LINKS=REPORT
PLEASE SOLVE FOR THE CHART AND GRAPH. PLEASE SHOW ON GRAPH
Answer:
Look below
Step-by-step explanation:
Ok Just Plug it in
For the chart
1:8
2:9
3:10
4:11
And then graph on desmos
You should the answer
Sorry if I am wrong.
Answer:
second graph
Step-by-step explanation:
When x=1,
y=1+7=8
When x=2,
y=2+7=9
When x=3,
y=3+7=10
When x=4,
y=4+7=11
Will give brainliest
GO FROM BLACK DOT TO BLACK DOT FOR CALCULATIONS TO BE ACCURATE
1 BOX = 1 FOOT
Across the room are your 2 best friends Sara & Jon
Laying at the exact midpoint between them is /y
the perfect zombie killing potion. Unfortunately,
Sara & Jon have both developed a taste for brains so they won't
be much help. What are the coordinates of the potion?
ROUND TO THE TENTHS
What is the length of BC, given that figure ABCD is a rectangle?
B
с
12
А
18
D
O A. 6
O B.9
C. 18
O D. 12
HELPPP MEEE PLEASEE ASAPPPPP
Answer:
C
Step-by-step explanation:
ABCD is a rectangle so BC = AD
Since opposite side of a rectangle are equal in length, the side BC is equals to AD. Therefore, side BCis equals to 18 units.
Properties of a rectangleOpposite sides are equalOpposite sides of a rectangle are parallelAll the angles of a rectangle are equals to 90 degrees.The diagonals of a rectangle are equal in length.The diagonal bisect each other at there point of intersection.
Since opposite sides are equal in length. Therefore,
AD ≅ BC
AB ≅ CD
Hence,
BC = 18 units.
learn more on rectangle here: https://brainly.com/question/15019502
#SPJ5
Please Helpp
A boy is flying a kite. The length of the string is 61 meters and the
horizontal distance between the boy and the kite is 60 meters. Assuming
there is no slack in the string, find the height of the kite from the ground.
kite
61 m
?
boy
60 m
OB) / 179 cm
OA) 165 m
OC) 50 cm
OD) 11 m
Answer: D
Step-by-step explanation:
11 m
Answer:
D
Step-by-step explanation:
took the test
Need urgent help please, honest answers will get brainliest
Answer: Refer to the screenshot below
I've filled in the boxes with the proper answers
====================================================
Explanation for problem 1
In line 1, I used the distributive rule a*(b+c) = a*b+a*c. On the left side the 3(n+2) becomes 3n+6. On the right side, the 9(6-n) becomes 54-9n
On the next line, I added 9n to both sides. The 3n on the left side updates to 3n+9n = 12n.
For the third line, I subtracted 6 from both sides. Then the last line involves dividing both sides by 12 to fully isolate n. To confirm the solution n = 4, plug it back into the original equation. You should get the same thing on both sides after simplifying.
------------------------------------
Explanation for problem 2
The steps here are similar as problem 1, but this time we're involving fractions. Unfortunately, these steps don't involve clearing out the fractions which is often a handy trick to use.
We use the distributive rule on line 1
For line 2, we subtract 2m/9 from both sides. Think of 2m/3 as 6m/9 to help combine the fractions. The denominators must be the same for you to be able to add or subtract fractions.
For line 3, we subtract 4/3 from both sides. Think of 4/3 as 12/9.
The last step is to multiply both sides by 9/4, which is the reciprocal of 4/9. Your teacher made a typo on the right hand side of the last line. It should read [tex]\frac{4}{9}m[/tex] and not [tex]\frac{2}{9}m[/tex]. Refer to the previous line.
Mrs. Jones bought 120 eggs. She used 2/3of them for baking cakes. She used 1/4 of the remainder for baking cookies. How many eggs did she have left
Answer: 30 eggs
Step-by-step explanation:
Given
Mrs. Jones bought 120 eggs
She used two-third for baking cakes i.e.
[tex]\Rightarrow 120\times \dfrac{2}{3}=80\ \text{eggs}[/tex]
Remaining eggs are [tex]120-80=40\ \text{eggs}[/tex]
She used on-fourth of the remaining for baking cookies i.e.
[tex]\Rightarrow 40\times \dfrac{1}{4}=10\ \text{eggs}[/tex]
Eggs left after baking cookies
[tex]\Rightarrow 40-10=30\ \text{eggs}[/tex]
She is left with 30 eggs
what is x+3=12 simplified?
Answer:
x = 9
Step-by-step explanation:
x + 3 = 12
subtracting both sides by 3
x + 3 - 3 = 12 - 3
x + 0 = 9
x = 9
Answer:
x = 9
Step-by-step explanation:
x + 3 = 12
x (+ 3 - 3) = 12 - 3
x = 9
what is the m angle 2?NO SPAMS OR LINKS! THANKS
Answer:
1+3=90
1=52
3=38
38+63+1=180
1=79
the answer is 79
Which one is equivalent? Ez points
Answer: B: -4 by -4 by -4
Step-by-step explanation: When a number is to be used with a negative exponent, the number is to be multiplied by however many times the number says to multiply it, and whether the exponent is positive or negative determines the numbers being multiplied, whether they should be negative or positive. (Sorry, I'm not good at wording this, I'll provide an example below.);
4^-3 means that you multiply four three times, but the exponent is also negative, so it would make each of the base numbers negative.
-4 by -4 by -4
A una reunión asistieron tres amigos: Manuel, Hugo y Coco; y tres damas: Pamela, Nancy y Susan. Terminada la actividad, cada uno de los muchachos salió acompañado por una dama. Hugo salió con la amiga de Nancy. Pamela, que no simpatiza con Nancy, salió antes que Manuel.
Answer:
Hugo salió con Susan, Coco salió con Pamela y Manuel salió con Nancy.
Step-by-step explanation:
Dado que a una reunión asistieron tres amigos: Manuel, Hugo y Coco; y tres damas: Pamela, Nancy y Susan, y terminada la actividad, cada uno de los muchachos salió acompañado por una dama, y Hugo salió con la amiga de Nancy, mientras que Pamela, que no simpatiza con Nancy, salió antes que Manuel, para determinar con quién salió cada persona debemos realizar el siguiente razonamiento lógico:
Hugo = Amiga de Nancy (no es Pamela) = Susan
Pamela = Sale antes que Manuel (no sale con Hugo) = Coco
Nancy = Manuel
Por lo tanto, Hugo salió con Susan, Coco salió con Pamela y Manuel salió con Nancy.
A teacher asked four students to estimate the length of a grain of rice. Jack answered 4.5 x 10^-3 kilometer, Lilly answered 4.5 x 10^-3meter, Diego answered 4.5 x 10^-3vcentimeter, and Willa answered 4.5 x 10^-3 millimeter. Who gave the best answer
Answer:
Lilly
Step-by-step explanation:
According to the literature, the length of a medium grain rice is between 5.3 and 5.9 mm. Let's take the average (5.6 mm) and convert it to meters to compare it with the estimations. We will use the conversion factor 1 m = 1000 mm.
5.6 mm × 1 m/1000 mm = 5.6 × 10⁻³ m
Jack answered 4.5 × 10⁻³ kilometers. We will convert it to meters using the conversion factor 1 km = 1000 m.
4.5 × 10⁻³ km × 1000 m/1 km = 4.5 m
Lilly answered 4.5 × 10⁻³ meters.
Diego answered 4.5 × 10⁻³ centimeters. We will convert it to meters using the conversion factor 1 m = 100 cm.
4.5 × 10⁻³ cm × 1 m/100 cm = 4.5 × 10⁻⁵ m
Willa answered 4.5 × 10⁻³ millimeters. We will convert it to meters using the conversion factor 1 m = 1000 mm.
4.5 × 10⁻³ mm × 1 m/1000 mm = 4.5 × 10⁻⁶ m
As we can see, Lilly gave the best answer (same order of magnitude).
A N S W E R
Q U I C K L Y
P L E A S E
Answer:
Your answer is D
Step-by-step explanation:
I literally have an Math Expert right next to me and he verified this answer!
Plz gimme a like!!
WILL GIVE BRAILIEST!!
Answer:
d . 9 ^ 2
Step-by-step explanation:
9 ^ 3 * 9 ^ 4 / 9 ^ 5
= 81
= 9 ^ 2
so the answer is D
Mark brainliest
[tex]d. \: {9}^{2} [/tex] ✅
Step-by-step explanation:
[tex] \frac{ {9}^{3} \times {9}^{4} }{ {9}^{5} } \\ = \frac{ {9}^{3 + 4} }{ {9}^{5} } \\ = \frac{ {9}^{7} }{ {9}^{5} } \\ = {9}^{7 - 5} \\ = {9}^{2} [/tex]
Note:-
[tex] {a}^{m} \times {a}^{n} = {a}^{m + n} [/tex]
[tex] {a}^{m} \div {a}^{n} = {a}^{m - n} [/tex]
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
THALES’ THEOREM: If A, B, and C are three different points on a circle with a diameter line AB, then ∠ABC is a right angle True or false
Answer:
your question is that true
Step-by-step explanation:
my answer is false
Chloe and Ainsley start an art club. The first week they are the only 2 people in the club. They invite more friends to join. Each week the
number of people in the club doubles.
How many people are in the club on the third week?
Answer:
8.
Step-by-step explanation:
first week: 2
second week: 2×2=4
third week: 4×2=8
hence, 8 members joined the club on the third week.
Find the area of the triangle
Answer:
Step-by-step explanation:
area of triangle=base*height/2
=8*3/2
=24/2
=12 m^2
Simplify for ez points!
Answer:A
Step-by-step explanation: divide both by 5 and you get 3/4 because 15 divided by 5 = 3 and 20 divided by 5 =4
Helppp pleasee!!!
MARK BRAINLIST
12 POINTS
Answer:
12.56
Step-by-step explanation:
use the circumference of a circle formula, C=2πr, to find the circumference
so C=2π(2)=12.56 the last one
given sin(theta)= 12/13 in quadrant 1 determine sec(theta) PLS HELP ASAP
Answer:
Step-by-step explanation:
in quadrant 1 cos and sec are positive.
cos(θ)=√(1-sin²θ)=√(1-(12/13)²)=√((169-144)/13²)=5/13
secθ=13/5
Simplify √27x². I know the answer is 3x√3, but my teacher wants me to show how I solved it and i dont know how...please help.
Answer:
[tex]3\sqrt{3}x[/tex]
Step-by-step explanation:
Expand √27x² in such a way that it is the :-
Product of at either two or more perfect square numbers or,Product of two or more numbers out of which one (or more) is a perfect square number.So ,
[tex]\sqrt{27x^2} = \sqrt{9 \times 3 \times x^2}= 3 \times \sqrt{3} \times x = 3\sqrt{3}x[/tex]
what is mass and solid and gas