The volume of a sphere with a radius of 39.6 m, rounded to the nearest tenth is 341416.9 cubic meters
The volume of a sphere can be calculated using the formula V = (4/3)πr³, where V is the volume, π is a constant with a value of approximately 3.14, and r is the radius of the sphere.
To find the volume of a sphere with a radius of 39.6 m, we can substitute this value into the formula and simplify:
V = (4/3)πr³
V = (4/3)π(39.6)³
V ≈ 341416.8 cubic meters
Since the question asks us to round to the nearest tenth of a cubic meter, we look at the digit in the hundredth place, which is 6 in this case. Since 6 is greater than or equal to 5, we round up the digit in the tenths place, which is 8. Therefore, the volume of the sphere rounded to the nearest tenth of a cubic meter is:
V ≈ 341416.8 cubic meters ≈ 341416.9 cubic meters
In summary, to find the volume of a sphere, we use the formula V = (4/3)πr³, where V is the volume, π is a constant, and r is the radius. We can then round the answer to the nearest tenth of a cubic meter by looking at the digit in the hundredth place and rounding up if the digit in the tenths place is 5 or greater.
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which postulate or theorem proves that these two triangles are congruent?
a. ASA Congruence Postulate
b. SAS Congruence Postulate
c. AAS Congruence Theorem
d. HL Congruence Theorem
George is solving the equation below by finding successive approximations. He started from a graph where he found the solution to be between 5 and 6. Using the lower and upper bounds from the graph, George did the following work for the first iteration. Step 1 Rewrite the equation so that it equals zero. Step 2 Evaluate the rewritten equation at the lower and upper bounds. Since the solution to the original equation is represented by a zero, one of the bounds should yield a negative difference and the other should yield a positive difference. Step 3 Take the average of the lower and upper bounds from the graph. Step 4 Evaluate the rewritten equation at . Step 5 Since this value of x yields a negative difference, use it to replace the previous upper bound that yielded a negative difference, . So, the bounds are now and . In what step, if any, did George make his first mistake? A. In step 1, George should have subtracted in the opposite order to set the equation equal to 0. B. In step 5, George should have used as the new lower bound. C. George made no mistakes, and his work is correct. D. In step 3, George should have averaged the two differences instead of the two bounds.
The mistake made by George is; D:George should have averaged the two differences instead of the two bounds.
How to Solve Successive Approximations?In Mathematics, successive approximation can be defined as a classical method that is used in Calculus for solving integral equations or initial value problems.
In this question, George started the first iteration of successive approximation by using the lower and upper bounds of the graph. However, we can deduce that George made a mistake instep 5 because he should have used x = 3/2 as the new upper bound.
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Anybody know this? Find the value of x in o A
let's recall that a circle has a total of 360°. Check the picture below.
You have a job that pays $15.00 for each day you show up, plus
$8.50 per hour. Which expression shows the amount you make
in one day if you work for h hours?
Which values of x and y would make the following expression represent a real number? (4 5i)(x yi) x = 4, y = 5 x = –4, y = 0 x = 4, y = –5 x = 0, y = 5
The product will be a real number when x = 4 and y = -5.
Which values of x and y should we use?We have the product of complex numbers:
[tex](4 + 5i)*(x + yi)[/tex]
We want this to be a real number, then the second complex number must be the complex conjugate of the first one, so we must have:
[tex](x + yi) = (4 - 5i)[/tex]
Now, if we take the product, we get:
[tex](4 + 5i)*(4 - 5i)\\\\4*4 - 4*5i + 4*5i - (5*5)*i^2 = 16 + 25 = 41[/tex]
So we can see that the outcome is a real number.
Then we must have x = 4 and y = -5.
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Answer: C
Step-by-step explanation:
Simplify.
√63 somebody please help
Answer:
7.93
Step-by-step explanation:
Tomas bought 2.4 pounds each of apples and pears. The apples cost $1.65 a pound and the pears cost $2.25 a pound. Tomas split the cost of the apples and pears evenly with his 3 siblings. How much should each of them pay for the apples and pears?
Answer:
$2.34
Step-by-step explanation:
The total cost is the sum of the number of pounds multiplied by the cost per pound for each of the items purchased. Each of the four equal shares of the cost will be 1/4 of the total cost.
__
The distributive property can be used to simplify the problem.
total cost = cost of apples + cost of pears
share cost = 1/4(total cost) = 1/4((2.4 lb)($1.65/lb) +(2.4 lb)($2.25/lb))
share cost = (1/4)(2.4)($1.65 +2.25) = 0.6($3.90)
share cost = $2.34
Each of them should pay $2.34 for the apples and pears.
A store buys 17 sweaters for $68 and sells them for $561. How much profit does the store make per sweater?
He makes a profit in total of $8381
The store makes a profit of $29 per sweater.
Here, we have to calculate the profit per sweater, we need to find the difference between the selling price and the cost price (purchase price) of each sweater.
Given:
Number of sweaters bought = 17
Cost of buying 17 sweaters = $68
Selling price of 17 sweaters = $561
Profit per sweater = Selling price per sweater - Cost price per sweater
First, calculate the cost price per sweater:
Cost price per sweater = Total cost / Number of sweaters
Cost price per sweater = $68 / 17
Cost price per sweater = $4.
Now, calculate the profit per sweater:
Profit per sweater = Selling price per sweater - Cost price per sweater
Profit per sweater = $561 / 17 - $4
Profit per sweater = $33 - $4
Profit per sweater = $29.
The store makes a profit of $29 per sweater.
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Skylar buys a one-gallon bottle of juice for $15.36. what is the unit rate of the cost of the juice per fluid ounce?
what is the cost of juice in dollars per fluid ounce?
Answer:
0.12
Step-by-step explanation:
there are 128 fluid ounces in 1 gallon
15.36 / 128 = 0.12
Goblin Gryh can count the coins in a bag in 10 minutes. If goblin Girt counts with him, they can count all the coins in 6 minutes. How long would it take Goblin Girt to count the coins in the bag alone.
The Goblin Girt take 15 minutes to count the coins in the bag alone if Goblin Gryh can count the coins in a bag in 10 minutes. If goblin Girt counts with him, they can count all the coins in 6 minutes.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
Let's suppose the Goblin Girt take x minutes to count the coins in the bag alone.
Then we can frame an equation to find the value of x:
[tex]\rm \dfrac{1}{x}+\dfrac{1}{10}=\dfrac{1}{6}[/tex]
[tex]\rm \dfrac{1}{x}=- \dfrac{1}{10}+\dfrac{1}{6}[/tex]
[tex]\rm \dfrac{1}{x}=\dfrac{1}{15}[/tex]
x = 15 minutes (reciprocal on both sides)
Thus, the Goblin Girt take 15 minutes to count the coins in the bag alone if Goblin Gryh can count the coins in a bag in 10 minutes. If goblin Girt counts with him, they can count all the coins in 6 minutes.
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Choose the best description of the cross section shown in each image.
Answer:
Rectangle
Trapezoid
Square
Triangle.
Step-by-step explanation:
So I got it wrong in my homework how do i translate it?
To translate something:
⇒ is to write out the equations
Let's examine what information this problem gives us:
Mrs. Albert has $400 ⇒ Total money = 400Mrs. Albert bought two adult tickets at $62.50 each⇒ with '2' being the number of adults tickets
⇒total charge from purchasing adult tickets = 2 * 62.5 = 125
Each child ticket costs $42.5⇒ with 'x' being the number of child tickets bought
⇒total charge from purchasing child tickets = 42.5x
Since the sum of total charge from purchasing adult tickets and total charge from purchasing child tickets is equal to 400:
⇒ 42.5x + 125 = 400 <== translated form
Let's solve:
[tex]42.5x+125=400\\42.5x=275\\x=6.47[/tex]
Since we can only buy whole tickets:
Mrs. Albert could have bought at most 6 child tickets
Answer: Mrs. Albert can bring 6 kids
Hope that helps!
Solve for x.
X=?
4x+4 4x -32
Step-by-step explanation:
4x-4x=-32-4
X=28
Is the answer
Answer:
No solution
Step-by-step explanation:
As the slopes are same and y-intercepts are different, we can conclude this system of equations has no solution.
Brian brought $36.50 to the art supply store. He bought a brush, a sketchbook, and a paint set. The brush was 1/3 as much as the sketchbook, and the sketchbook cost 1/2 the cost of the paint set. Brian had $4.00 left over after buying these item.What was the cost of each item?
14. Which of the following is the perimeter of the right triangle shown below?
(1) 63 cm
(2) 64 cm
(3) 70 cm
(4) 74 cm
Answer:
3
Step-by-step explanation:
Using Pythagoras formula
h^2 = (root under) p^2 +b^2
or, h^2= 20^2 + 21^2
or, h^2= 400+441
or, h^2= 841
or, h= (root under) 841
Therefore h= 29
Now,
Perimeter of a triangle= a+b+c
= 20+21+29
=70
Detemine which equation has the same solutions as the equation below.
4X² + 32X - 28 = 0
A. (X+4)²=23
B. 4(X+4)²=36
C. (X+8)²=57
D. 4(X+8)²=28
The answer is B i hopes this helps
Write in scientific notation:
0,007 832
Answer:
The scientific notation for this will be
[tex]7.832 \times {10}^{ - 3} [/tex]
As there are three zero in expression
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASEGiven right triangle abc with altitude bd drawn to hypotenuse
ac. if ad = 8 and dc = 32, what is the length of bd?
Can someone please help me answer this question
Answer:
B. adjacentStep-by-step explanation:
hope this helps you
Write an algebraic expression that describes the following word phrase, using the letter `a` for the unknown number.
nine times a number minus two = _____ a - _____
Answer:
=7*a-2
=7a-2
Step-by-step explanation:
_a-_
ATQ,
7 times means 7*
as per the question,
Nine times (7*) a number (a) minus two (-2)
Hope this helps you!! (ㆁωㆁ)
IMPORTANT HELP PLEASE ANSWER IMMEDIATELY!!!!!
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Type it out please!
Solve the following equation. Show all your work.
(x/(x−2))+((x−1)/(x+1))=−1
Answer:
[tex]\displaystyle x = 0 \text{ and } x = 1[/tex]
Step-by-step explanation:
We are given and asked to solve the equation:
[tex]\displaystyle \frac{x}{x-2} + \frac{x-1}{x+1} = -1[/tex]
We can first remove the rational expressions by multiplying both sides of the equation by its LCM (in this case, by (x - 2)(x + 1)):
[tex]\displaystyle (x-2)(x+1) \left( \displaystyle \frac{x}{x-2} + \frac{x-1}{x+1}\right) = -1(x-2)(x+1)[/tex]
Simplify:
[tex]\displaystyle x(x+1)+(x-1)(x-2) = -(x-2)(x+1)[/tex]
Expand and isolate:
[tex]\displaystyle \begin{aligned} (x^2 + x) + (x^2 - 3x + 2) & = -(x^2 -x -2) \\ \\ 2x^2 - 2x + 2& = -x^2 + x + 2 \\ \\ 3x^2 - 3x & = 0 \end{aligned}[/tex]
Hence solve for x:
[tex]\displaystyle \begin{aligned} 3x(x - 1) & = 0 \\ \\ x & = 0\text{ or } x = 1\end{aligned}[/tex]
In conclusion, the solutions of the equation are x = 0 and x = 1.
A boat can travel 28 miles up a river in the same amount of time it takes to travel 36 miles down the same river. If the current is traveling at 2 miles per hour, what is the speed of the boat in still water?
Answer:
6
Step-by-step explanation:
calculate the length of ed and be
Answer:
ED = 6.5 cm
BE = 14.4 cm
Step-by-step explanation
AB/BC = AE/ED is less than or eqauls ED = BC×AE/AB
so
ED = 5×26/20 = 130/20 = 6.5 cm
and
AB/AC = BE/CD => BE = AB×CD/AC
so
BE = 20×18/25 = 360/25 = 14.4 cm
у
6
-8
Identify the vertex, focus, and directrix of the graph. Which of the following equations represents the parabola in the graph?
O
y-- (x+38 – 4
O
yo (x=38 - 4
O
*--(+33 - 4
X-
The equation of the parabola will be y = 1/8(x- 3)² - 4. Then the correct option is B.
What is the parabola?It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.
Identify the vertex, focus, and directrix of the graph.
Then the equations representing the parabola in the graph will be
y = a(x - h)² + k
Then the vertex is at (3, -4). Then we have
y = a(x - 3)² - 4
For x = 0, the value of y will be -2.875.
-2.875 = a(0 - 3)² - 4
a = 1/8
Then the equation of the parabola will be
y = 1/8(x- 3)² - 4
Thus, the correct option is B.
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Hello, please answer the question
Determine the equation of the perpendicular bisector of AB and state the coordinates of the point where the perpendicular bisector meets or intersects with the y-axis.
Gradient: -1
Midpoint : [5,1]
Coordinates for A: [3,5] , B: [7,1]
Answer:
the equation will be in the form of:
y = -x + b
To find be take any point on the line. Hence we have (5,1) which is the midpoint where the line meets.
Therefore, substitute (5,1) in the above equation:
1 = -5 + b
b = 6
So the question of the line will be:
y = -x + 6
PLEASE HELP!!!!! I WILL MARK BRAINLIEST AND RATE 5 STARS!!
Answer:
37°
Step-by-step explanation:
sum of exterior angles of a polygon is 360°
so, 41+(x+13)+(2x-14)+(3x-22)+(x-3)+38+(x+11)=360
8x+64=360, subtract 64 from both sides
8x=296
x=37°
Use the properties of limits and the facts given below to find each of the limits given
Answer:
where are the limit questions?
The function g(x) = x2 is transformed to obtain function h:
h(x) = g(x − 3).
Which statement describes how the graph of h is different from the graph of g?
A.
The graph of h is the graph of g vertically shifted up 3 units.
B.
The graph of h is the graph of g horizontally shifted right 3 units.
C.
The graph of h is the graph of g horizontally shifted left 3 units.
D.
The graph of h is the graph of g vertically shifted down 3 units.
Answer:
B
Step-by-step explanation:
given f(x) then f(x ± a) is a horizontal translation of f(x)
• if + a , then a shift to the left of a units
• if - a then a shift to the right of a units
h(x) = g(x - 3)
then h is the graph of g shifted right 3 units
On a recent math test, Carlos had to find the volume of the rectangular prism below. He gave the answer of 60 in3, which was marked incorrect. Help Carlos understand how to correctly find the volume of the prism.
A cube that is eight inches in length, ten inches in width, and six inches in height.
Answer:
480 in
Step-by-step explanation:
Rectangular Prism Formula :
V=whl
Which,
W = Width
H = Height
L = Length
Solve:
Given that:
Length = 8 in
Width = 10 in
Height = 6 in
Since the formula is:
V = whl
Then,
V = 8 × 10 × 6
V = 80 × 6
V = 480 in
Kavinsky
HELPPPPP I NEED TO FINISH THIS MATH HOMEWORK BUT IM STUCK ON A QUESTION ( its number 4 not the one above)
Answer:
$27.85
Step-by-step explanation:
I think what it means by outstanding charge is that there is something else he also needs to pay that he hasn't input yet. So, going off of that logic,
20+7.85 = 27.85, to find the amount he should pay for both charges to not create another bank fee.