Answer:D
Step-by-step explanation:
Amaro would have the most.
Homer and Marge had
dinner at the Main Street
Café. Their bill was
$35.28. If they tip their
waitress 15%, how much
of a tip will they leave?
Answer:
$5.29
Step-by-step explanation:
The tip was 15% U take that 15% and divide it by 100
whatever the answer was multiply it by a $35.28
A washer and a dryer cost $885 combined. The washer costs $65 less than the dryer. What is the cost of the dryer?
Use the Theorem of Pappus to find the exact volume of a general cone created by rotating a triangle with vertices ( 0 , 0 ) , ( 1 , 0 ) , and ( 0 , 8 ) around the y -axis.
The exact volume of a general Cone is [tex]\frac{8\pi}{3}[/tex]
To solve this problem, we will make use of the second theorem of Pappus. This theorem is concerned with finding the volume produced when a plane shape is rotated around an axis ( the volume of the solid of revolution ).
The theorem states:
The volume of a solid of revolution obtained by rotating a lamina F (the triangle) about a non-intersecting axis (the y-axis) lying in the same plane is equal to the product of the area A of the lamina F and the distance d traveled by the centroid of F.
That is
[tex]V=A\times d[/tex]
When the centroid travels, it forms a circumference d given by,
[tex]d=2\pi r[/tex]
Therefore
[tex]V=A\times 2\pi r[/tex]
From the diagram below,
The vertices (or, corners) of the triangle are A(0, 0), B(1, 0), and C(0,8).
G is the centroid of the triangle. The centroid of the triangle is the geometric center of the triangle. The centroid would be the balance point if a pin were to be used to balance the triangle.
r is the distance from the centroid to the axis of rotation ( the y-axis in this case). It is like saying the radius of rotation.
The things we need to find are A (the Area) and r.
Calculate A:
[tex]A=\frac{1}{2} \left| \Delta \right|[/tex]
[tex]\Delta = \left|\begin{array}{cc} x_{B}-x_{A} & y_{B}-y_{A} \\ x_{C}-x_{A} &y_{C}-y_{A}\end{array}\right|= \left|\begin{array}{cc} 1-0 & 0-0 \\ 0-0 & 8-0\end{array}\right|= \left|\begin{array}{cc} 1 & 0 \\ 0 & 8\end{array}\right|[/tex]
[tex]\Delta =8\times 1 -0\times 0=8[/tex]
[tex]A=\frac{1}{2} \left|8\right|=\frac{1}{2}\times 8=4[/tex]
Calculate r:
[tex]r=\overline{x}=\frac{x_A+x_B+x_C}{3}=\frac{0+1+0}{3}=\frac{1}{3}[/tex]
Finally, Calculate the volume, V:
[tex]V=A\times 2\pi r=4 \times2\pi\times\frac{1}{3}=\frac{8\pi}{3}[/tex]
Learn more about centroids: https://brainly.com/question/20305516
Select Correct or Incorrect for each equation.
Equation
Correct
Incorrect
-1=-1
-141 =-1
o
W
Answer:
-141 = -1 W
Step-by-step explanation:
can I take a picture of my math problem
Answer:
You press the camera icon when asking a question
Step-by-step explanation:
Write the equation of the parabola in vertex form.
vertex (3,3), point (2, - 1)
Step-by-step explanation:
The vertex form of a parabola is given by
[tex]y = a(x - h)^2 + k[/tex]
where (h, k) are the coordinates of the vertex of the parabola. So we can write our parabola as
[tex]y = a(x - 3)^2 + 3[/tex]
We know that our curve goes through the point (2, -1) so we can solve for the constant a as follows:
[tex]-1 = a(2 - 3)^2 + 3 \Rightarrow -1 = a + 3[/tex]
or
[tex]a = -4[/tex]
Therefore, the vertex form of the equation for the parabola is
[tex]y = -4(x - 3)^2 + 3[/tex]
Which of the following are remote interior angles of <6? Check all that apply.
Choices
A. 5
B. 1
C. 6
D. 4
E. 3
F. 2
Answer:
Well you see Is this GCSE
Alexander has a collection of baseball cards he wants to organize into a book use the table to determine how many pages he will need to 234 cards
Answer:
what chart??????????????????????????????????????????
Step-by-step explanation:
1
_ x + 9 for x=3 .............................................
2
Answer:
10.5
Step-by-step explanation:
[tex] \frac{1}{2} \times 3 + 9 \\ 1.5 + 9 \\ 10.5[/tex]
[tex]\\ \tt\Rrightarrow 1/2x+9[/tex]
x=3[tex]\\ \tt\Rrightarrow x/2+9[/tex]
[tex]\\ \tt\Rrightarrow 3/2+9[/tex]
[tex]\\ \tt\Rrightarrow 3+18/2[/tex]
[tex]\\ \tt\Rrightarrow 21/2[/tex]
[tex]\\ \tt\Rrightarrow 10.5[/tex]
Subtract. What is the difference (9 x 1010) – (4 x 1010) in scientific
notation?
?
(9* 1019) - (4 1019 = ? * 10
DONE
Answer:
5.05 x 10^3
Step-by-step explanation:
Alejandra currently has a balance of $2,254 in her checking account. She deposits a $873.84 paycheck, a $25 rebate check, and a personal check for $358 into her checking account. She wants to receive $350 in cash. How much will she have in her account after the transaction?
Answer:
$3160.84
Step-by-step explanation:
2254 + 873.84 + 25 + 358 = 3510.84
3510.84 - 350 = 3160.84
A pet store has 7 cats. Here are their weights (in pounds).
8, 15, 11, 10, 11, 6, 7
Send data to calculator
Find the mean weight of these cats.
If necessary, round your answer to the nearest tenth.
Step-by-step explanation:
add 8,15,11,10,11,6,7 then the answer you get divide by 7
Answer:
The answer that has been rounded by the tenths is 9.7
You have 10 blue shirts and r red shirts.
What expression shows your total number of shirts?
Seven more than twice a number is greater than negative nineteen. Find all numbers that make this statement true.
The answer is I (Type an inequality using x as the variable.)
Answer:
Hey there,
Let the unknown number be x
Here they say that ,
Seven more than twice a number,
2x + 7
Is greater than,
2x + 7 >
Negative 19,
2x + 7 > -19
Now solve for x
[tex]2x + 7 > - 19 \\ 2x > - 19 - 7 \\ 2x > - 26 \\ \frac{2x}{2} > \frac{ - 26}{2} \\ x > - 13[/tex]
So,
All the numbers which are greater than (-13) makes this statement true.
Examples
[tex]x = { - 12, - 11, - 10, - 9...} \\ [/tex]
Hope this helps you.
Let me know if you have any other questions :-):-)
All numbers that makes, the statement "Seven more than twice a number is greater than negative nineteen" True, are the numbers greater than -13.
Let us denote the unknown number as "x",
The given statement can be translated into an inequality as follows:
7 + 2x > -19,
Now, to solve for "x," we separate the variable by subtracting 7 from both sides of the inequality,
We get,
2x > -26
Divide both sides by 2:
We have,
x > -13
Therefore, any number greater than -13 would make the statement "Seven more than twice a number is greater than negative nineteen" true.
In interval notation, this would be written as (-13, ∞), indicating all real numbers greater than -13.
Learn more about Inequality here
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At the close of one business day, TNT stock was trading at $40 per share. At the close of the next business day, the stock was trading at $43 per shape. Find the percent of the increase
Answer: 7.5% increase by the end of the day.
Step-by-step explanation:
new - original = #
# / original = decimal
decimal x 100 = percent.
James Joins Club One Which charges A Monthly membership of $19.99 How Much will James Spend In all, if he continues his membership for 6 months.
Answer:
$119.94
Step-by-step explanation:
If James pays $19.99 for 1 month then it would be $119.94 for 6 months, its technically just $19.99×6months
the present value of an annuity of 3000 for 15 years at 4.5 % per annum CI is
Answer:
3000 for 15 years at 4.5% p.a CI is. Rs. 23809.41.
Evaluate. 1 1/2+3/4÷(−1/3)−2/3 Enter your answer as a mixed number in simplest form
Answer:
-1 5/12
Step-by-step explanation:
1 1/2+3/4÷(−1/3)−2/3
3/2-2/3+3/4*3/-1
9-4/6-9/4
5/6-9/4
20-54/24
-34/24
-17/12
-1 5/12
Simplify the linear expression.
Answer:
5a/3+1/8-a/6-1/2
Step-by-step explanation:
which expression is equivalent to 2 (3g-4)-(8g+3)
Answer:
-2g-11
Step-by-step explanation:
=6g-8-8g-3=-2g-11
A salesman earned of sale of 10,500 and his commission rate is 5%.what is the commission of the salesman?
Answer:
$525
Step-by-step explanation:
To find the commision of the salesman, multiply the (commission rate over 100) by the sale amount.
Commission rate: 5%, so 5/100 = 0.05
then, 0.05*10500 = $525
how is the radius and area of a circle proportional
Answer:
The factor '2 pi' is simply the constant of proportionality between C and R. So the area of a circle is proportional to R2 and pi is the constant of proportionality between the area and the radius of a circle.
Answer: The relationship between the area of a circle and the radius of the circle can be stated as follows: The area of a circle is proportional to the square of the radius. Written in symbolic notation: A = R 2 RELATIONSHIP 5.1 Area = x (radius) squared OR A = R 2
Step-by-step explanation:
Sara started her homework at 5:30pm and finished it at 6:15pm.how much time did she take to finished her homework
Answer:
she took 45 mins on homework.
Answer:
45 min hope you get it right
From start to finish, a machine can fill a bottle of water, seal it, label it, and pack it in 8.6 seconds. About how many bottles of water are packed in 480 seconds? pls answer due today.
como se redondea un número a la unidad
five times x equals one
Answer:
x=0.2
Step-by-step explanation:
1 / 5 = 0.2
therefore
5 x 0.2 = 1
Please help me somebody!
The answer is attached below
can anyone help me with this quickly please :)
To find the y-value that matches with the x-value, we will need to plug in the x-value and simplify the expression.
f(-2) = sqrt(-2 + 2) - 6
f(-2) = sqrt(0) - 6
f(-2) = -6
f(-1) = sqrt( -1 + 2) - 6
f(-1) = sqrt(1) - 6
f(-1) = 1 - 6
f(-1) = -5
f(2) = sqrt(2 + 2) - 6
f(2) = sqrt(4) - 6
f(2) = 2 - 6
f(2) = -4
f(7) = sqrt(7 + 2) - 6
f(7) = sqrt(9) - 6
f(7) = 3 - 6
f(7) = -3
Hope this helps!! :)
Tyler has two maps of Ohio
Answer:
that’s nice good for him
Convert standard form to vertex form y=2+3x ^2
Answer:
y=3(x+0)^2+2
Step-by-step explanation:
The standard form of a parabola is y=ax2+bx+c y = a x 2 + b x + c . The vertex form of a parabola is y=a(x−h)2+k y = a ( x − h ) 2 + k .