Answer:
Volume = 2572.44 in.³
Step-by-step explanation:
The volume of the beach ball = volume of a sphere = ⁴/3πr³
r = ½(17) = 8.5 in.
Plug in the value
Volume = ⁴/3 × π × 8.5³
Volume = ⁴/3 × π × 614.125
Volume = 2572.44 in.³
Find the slope of the line through the pair of points. C(–6, –7), K(–1, –7) undefined 0
Answer:
0
Step-by-step explanation:
Slope of line
[tex] = \frac{ - 7 - ( - 7)}{ - 1 - ( - 6)} \\ \\ = \frac{ - 7 + 7}{ - 1 + 6} \\ \\ = \frac{0}{5} \\ \\ = 0[/tex]
Answer:
It is Undefined so its 0
Select the expression that represents the following statement: add 24 to the quotient of 16 and 8.
a. 16 x 8 + 24
b. (16 ÷ 8) + 24
c. 24 − 8 + 16
d.(16 − 8) + 24
Answer:
Change the minus sign to a plus. 2. ... 24. = 8. 11. 24. Find each quotient. 1. 1. 3. 1. 6. 2. 5. 8. 1. 16. 2. 1. 3 x. 6. 1 = 6 ... Write a variable expression to represent the word phrase.
The correct expression for the given condition is,
⇒ (16 ÷ 8) + 24
What is an expression?An expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division is called mathematical expression.
We have to given that;
The algebraic expression is,
''add 24 to the quotient of 16 and 8.''
Now, We can write the expression as;
Quotient of 16 and 8 is,
⇒ 16 ÷ 8
And, Add 24 to the quotient of 16 and 8.
⇒ (16 ÷ 8) + 24
Thus, The correct expression for the given condition is,
⇒ (16 ÷ 8) + 24
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Help me pls help I don’t get it
i think maybe your supposed to find an answer choice that is basically equal to the equation given already
Answer:
2) 1 3/4 = 4/4 + 3/4
Step-by-step explanation:
hope it helps
need help geometry question central angles and arcs?
Answer:
135
Step-by-step explanation:
360-90=270
270/2=135
A closed rectangle box with a volume of 16 3 ft is made from two kinds of materials. The top and bottom are made of material costing 10 cents/ 2 ft and the sides from material costing 5 cents/ 2 ft . Find the dimensions of the box so that the cost of the materials is minimized. [Hint: The cost of each side is equal to the area of the side times its unit price]
Answer:
The dimensions of the box are;
2 feet, by 2 feet, by 4 feet
Step-by-step explanation:
The given parameters are;
The volume of the closed box = 16 ft³
The material with which the top is made = The material with which the bottom is made
The cost of the material with which the top and bottom is made = 10 cents/(ft.²)
The cost of the material with which the side is made = 5 cents/(ft.²)
Let 'x', 'y', and 'z' represent the length, width, and height of the material, we have;
x·y·z = 16...(1)
The total cost of the box = 2×10×x×y + 2×5×x×z + 2×5×y×z
∴ The total cost of the box = 20·x·y + 10·x·z + 10y·z...(2)
From equation (1)
z = 16/(x·y)
Therefore, we have;
20·x·y + 10·x·z + 10y·z. = 20·x·y + 10·x·16/(x·y) + 10y·16/(x·y)
20·x·y + 160/(y) + 160/(x)
Differentiating, we get;
f'(x) = 20·y - 160/x²
f'(y) = 20·x - 160/y²
20·y - 160/x² = 0
y = 8/x²
20·x - 160/y² = 0
x = 8/y²
∴ x = 8/(8/x²)² = x⁴/8
8 = x⁴/x = x³
x = ∛8 = 2
The length, x = 2 feet
y = 8/x² = 8/2² = 2
The width, y = 2 feet
z = 16/(x·y) = 16/(2 × 2) = 4
The height of the box, z = 4 feet
Therefore, the dimensions of the box are 2 feet, by 2 feet, by 4 feet.
Help me please I give brainliest and be serious
pls help me with this math question pls its hard i want the explanation pls
Answer:
Take the angle above 128° as x.
x = 180 - 128 (linear pair)
x = 52°
a = ?
a = 180 - ( 52 + 73 ) ( the angles in a triangle add up to 180° )
a = 180 - 125
a = 55°
work out m and c for the line y= x+4
Answer:
M = 1, C = 4
Step-by-step explanation:
Just take note that all linear equation have the form Y = Mx + C.
Here you can read directly from the equation given.
Write the percent as a decimal.
0.23
%
0.23
%equals
Help Please I don’t understand
Answer:
128.10
Step-by-step explanation:
(8 * 16.95) - 7.50
(135.6) - 7.50
128.10
WHOEVER GET'S THIS QUESTION RIGHT I WILL GIVE A BRAINLIEST
The right rectangular prism is packed with unit cubes of the appropriate unit fraction edge lengths. Find the volume of the right rectangular prism in centimeters. (Figure not to scale)
A)
12 1 / 2 cm^3
B)
45 cm^3
C)
67 1 / 2 cm^3
D)
85 cm^3
Answer:
c. 67.5 cm^3
Step-by-step explanation:
V=whl
v=5*3*4.5
v=15*4.5
v=67.5 c^3
So C would be correct
Hope i helped, Brainliest would be appreciated!
Have a nice day!
-Aadi x
Need help with this problem ^^
Answer:
8t^2-2t+13 is the answer i believe
What is the answer?
Answer: D
Step-by-step explanation:
First, you have to multiply 2 by 7, because m=7. Then you have to multiply7 by -1 because n=-1. So on the top, you will get 14- -7. Now on the bottom, its just 7 + -1, which is 6. When there is a minus sign and a negative sign next to each other, for example 14- -7, you have to add. Next, you had 14 and 7 to get 21. Finally, you have to divide 21/6 and you get 3.5, which as a fraction is 7/2.
hope this helps :)
Plz I need the answer fast
Calculate the rate per litre at which a car uses petrol,if it uses 20l of petrol to travel 180 km
Answer:
1 L of petrol is used to travel 9 km.
Step-by-step explanation:
You can find the answers through the ratio method
20 L : 180 km
1 L : x
( x is the number we must find )
20 x = 180
x =
x = 9 km
Find the measure of 45.
*5 = [?]
Answer:
angle7 = 80 (because vertically opposite angles are always equal)
angle7 + angle5 = 180 (because is a straight line)
80 + angle5 = 180
angle5 = 180 - 80
angle5 = 100
6(a + 12) equivalent expressions
6(a+12)
6a+72
---
hope it helps
Luigi owns a few square tables and some chairs for his little restaurant. If he sets out individually with 4 chairs each, then he is 6 chairs short. If he always puts two tables together to create a bigger table with 6 chairs, then he has 4 chairs left over. How many tables does Luigi have?
It would be best if you explained your work. Any 'troll answers' will be reported.
Answer:
Suppose there are 10 tables. Putting 4 chairs at each table requires 4*10 = 40 chairs. Since this is 6 more chairs than he has, he must have 40 - 6 = 34 chairs.
Now suppose we put pairs of table together ("double tables"), so that 6 chairs can fit around each pair. With 10 tables, there will be 5 pairs, and with 6 chairs around each of these, we need 5*6 = 30 chairs. So 4 of the 34 chairs are left over. That's exactly what the problem said, so this is the answer.
Now, you may find that this check provides you with a model for the second equation you need to write! At least, I hope it clarifies what the problem means by "double tables".
Step-by-step explanation:
this is just my interpritation, please tell me if wrong!!!
the volume of sphere is increaseing
at the Constant rate of 10cm²lsee-
Calculate the rate of increase of
the surface area
at the Instant
When the radus is 5cm. What
is the radius of the sphere when
the surface are is increasing at 2cm
Volume of a sphere:
V = 4/3 π r ³
Differentiate V with respect to time t :
dV/dt = 4π r ² dr/dt
Surface area of a sphere:
A = 4π r ²
Differentiate A with respect to t :
dA/dt = 8π r dr/dt
You're given that the volume is increasing at a constant rate, dV/dt = 10 cm³/s, so
10 cm³/s = 4π r ² dr/dt
Solve for dr/dt (the rate of change of the sphere's radius):
dr/dt = 5/(2π r ²) cm³/s
Substitute this into the equation for dA/dt :
dA/dt = 8π r (5/(2π r ²) cm³/s)
dA/dt = 20/r cm³/s
At the moment the radius is r = 5 cm, the surface area is increasing at a rate of
dA/dt = 20/(5 cm) cm³/s = 4 cm²/s
When the surface area is increasing at a rate of dA/dt = 2 cm²/s, the radius r is such that
2 cm²/s = 20/r cm³/s
which happens when the radius is
r = 20/2 (cm³/s) / (cm²/s) = 10 cm
-4.5t + 11.75 = 20.75
WITH STEPS
There are 5 red marbles, 15 blue marbles, and 5 green marbles in a bag. You reach in and randomly draw a marble, replace it, and draw another marble. What is the probability that the first will be red and the second will be blue? NEED HELP ASAP
Answer 1. 20%
2. 80%
3. 8%
4. 12%
Answer:
Either 8% or 12%.
Step-by-step explanation:
Find the volume of the figure below. Round to the nearest tenth it needed. Please help
Answer:
1,060.8 mm³
Step-by-step explanation:
Volume of the triangular prism = ½*bhl
Where,
b = 12 mm
h = √(12² - 6²) ≈ 10.4 mm (pythagorean theorem)
l = 17 mm
Plug in the values
Volume = ½*12*10.4*17
Volume = 1,060.8 mm³
Which of these is something you can pay for with the money in a savings account?
Is 4(7-1) and 28-1 equal?
Answer:
fasdfjahlskfhkajshf
Step-by-step explanation:
jfdlhgkdfhgldfhg lsdfjhgsdhflhg klsfdhgjdsfhgkdfhgh
∑⊥⇆Ф↑↓∩¬║⊅α∨∧
(testing answer, sorry for that)
These triangles
are congruent by
the triangle
congruence
postulate [? ]
The triangles shown in figure are congruent by the triangle congruence postulate by ''SAS congruency'' theorem.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
These triangles are congruent.
Now, In both triangle shown in figure have;
⇒ One side is common. (Diagonal)
⇒ Two sides are equal. (Given)
⇒ One pair of angle in both triangle are equal.
Hence, We get;
⇒ By SAS congruent theorem both triangles shown in figure are congruent.
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which set of points lie on the given graph?
• (-3, 9), (-1, 5), (3, 3)
• (3, 9), (1, -5), (3, 3)
• (3, 9), (-1, 5), (3, 3)
• (-3, 9), (-1, 5), (3, -3)
write equations for lines
y=mx+b
y-y1=m(x-x1)
Ax+By= C
A block of land was available for sale last year at $35,000.
a) if the inflation rate during the year was 3.2%, what would be the value of the land in this year?
b)if the inflation rate this year is reduced 2.7%, what price would the land attract next year??
Answer:
- $36,120
- $35,945
Step-by-step explanation:
This problem is rather pretty simple when breaking it down. We really just need to ask ourselves what the percent is of our whole and then add that to our total. Work shown below.
Step 1:
Move decimal over on both. You should get...
.032 and .027
(You always move it two to the left in these types of cases.)
Step 2:
Multiply our original price by inflation decimal. You should get...
$35,000 x .032 = $1,120
$35,000 x .027 = $945
Step 3:
Add our previous answer to our original price. You should get...
$35,000 + $1,120 = $36,120
$35,000 + $945 = $35,945
- This is our final answer, as the pricing increased due to inflation.
Note: Inflation means their is an increase in price.
Let me know if a further explanation is needed.
There are 16 cans of soda. One eighth are Coke. How many Cokes
Answer:
2 cans are cokes.
Step-by-step explanation:
16/1 (total cans) * 1/8 (the amount that are coke) = 16/18 = 2
easy 5th grade math please look at photo and show work. Giving brainliest!!
Answer:
6 4/5
Step-by-step explanation:
He has 1 1/5 lb. He needs 8 lb.
He needs the difference between 8 lb and 1 1/5 lb, so this is a subtraction problem. We must subtract 8 lb - 1 1/5 lb.
8 - 1 1/5 =
We cna subtract the 1 from the 8, but we need a fraction with fifths at the 8 in order to subtract 1/5 from it. We borrow 1 from 8 leaving 7, and we write the 1 as the fraction 5/5. Now we have
= 7 5/5 - 1 1/5
We subtract 1 from 7 leaving 6, and we subtract 1/5 from 5/5 leaving 4/5.
= 6 4/5
Answer: 6 4/5