Danielle wants to fill a box with dirt to start a garden if the box is 2 1/5 feet long by 1 1/3 feet wide and 1 1/2 feet deep how much dirt does Daniel need to fill up the box for her garden
Answer:
3/7 and 5/9
Step-by-step explanation:
The volume of dirt needed to fill up the box for Danielle's garden is 22/15 cubic feet.
To find the volume of dirt needed to fill up the box for Danielle's garden, we need to calculate the volume of the box.
The formula for the volume (V) of a rectangular box is:
V = length × width × depth
Given dimensions:
Length = 2 1/5 feet
Width = 1 1/3 feet
Depth = 1 1/2 feet
Now, let's convert the dimensions into improper fractions:
Length = 2 1/5 = (5 × 2 + 1) / 5 = 11/5 feet
Width = 1 1/3 = (3 × 1 + 1) / 3 = 4/3 feet
Depth = 1 1/2 = (2 × 1 + 1) / 2 = 3/2 feet
Now, plug the values into the volume formula:
V = (11/5) × (4/3) × (3/2)
Next, multiply the fractions:
V = (11/5) × (4/3) × (3/2) = 44/30 = 22/15
Now, we can simplify the fraction:
V = 22/15
The volume of dirt needed to fill up the box for Danielle's garden is 22/15 cubic feet.
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Question 13 (1 point)
A jug contains 74.1 ounces of fruit punch. If the punch is evenly distributed to six people, how
many ounces will each person get?
oz.
Blank 1:
Answer:
each person gets 12.35oz
Step-by-step explanation:
74.1
6
=12.35
Answer:
12.35 oz
Step-by-step explanation:
74.1 divided by 6 equals 12.35
W =15
2. Marlon buys 9 packs of hot dogs. There are 6 hot dogs in each pack. After
left over. How many hot dogs were eaten?
solve for x.
12x/5=18
A.x = 43 1/5
B.x =7 1/2
C.x =-7 1/2
A constant volume of cookie dough is formed into a cylinder with a relatively small height and large radius. When the cookie dough is placed into the oven, the height of the dough decreases as the radius increases, but it retains its cylindrical shape. At time t, the height of the dough is 8 mm, the radius of the dough is 18 mm, and the radius of the dough is increasing at a rate of 2 mm per minute.
Part A: At time t, at what rate is the area of the circular surface of the cookie dough increasing with respect to time? (5 points)
Part B: At time t, at what rate is the height of the dough decreasing with respect to time?
Answer:
a) dA/dt = 125,42 mm/min
b) dh/dt = - 1,78 mm/min
Step-by-step explanation:
The volume of the cylinder is:
V(c) = π*r²*h ( r and h radius of the base and heigh respectively )
Then the surface area is: Area of the base : π*r²
Plus lateral area : h*2*π*r
A(c) = π*r² + 2*π*r*h
With the help of differentials we obtain:
dA/dt = 2*π*r*dr/dt + 2*π*h*dr/dt + 2*π*r*dh/dt (1)
In this equation and at time t we know:
r = 18 mm dr/dt = 2 mm/min h = 8 mm dh/dt = ??
dA/dt = increasing rate of the surface area ( with respect to time)
To find dh/dt we know:
V(c) is constant, then
V(c) = π*r²*h then h = V(c) / π*r²
dh/dt = - [V(c)*2*π*r*dr/dt ] / π²*r⁴
By subtitution of V(c)
dh/dt = - [ π*r²*h *2*π*r*dr/dt ] / π²*r⁴
dh/dt = - [2*π²h*r³*dr/dt ] /π²*r⁴
dh/dt = - [2*h* dr/dt ] / r
dh/dt = - 2*8*2 / 18 mm/min
dh/dt = - 1,78 mm/min
By subtitution in equation (1)
dA/dt = 2*π*r*dr/dt + 2*π*h*dr/dt + 2*π*r*dh/dt
dA/dt = 2*π*18*2 + 2*π*8*2 + (- 2*π*18*1,78 )
dA/dt = 226,20 + 100,53 - 201,31
dA/dt = 125,42 mm/min
Following are solutions to the given points:
Formula:
Cylinder volume [tex]v = \pi r^2 h...............(i)[/tex]
[tex]\to \frac{dr}{dt} = 2 \frac{mm}{min}\\\\ \to \frac{dh}{dt} = -2 \frac{mm}{min}\\\\ \to h=8\\\\ \to r=18 \\\\[/tex]
Part A:
Calculating the circular area of the surface:
[tex]\to A=\pi r^2\\\\[/tex]
So, [tex]\frac{dA}{dt}=2 \pi r \frac{dr}{dt}.........(ii)[/tex]
Therefore
[tex]\to \frac{dA}{dt}= 2\pi \times 18 \times 2= 72 \pi \ \frac{mm^2}{min}\\\\[/tex]
Part B:
[tex]\to \frac{dh}{dt}= - 2 \frac{mm}{min}[/tex]
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North and South had conflict over which of the following? (lol I accidentally put this as math but it's HISTORY)
A. Slavery
B. Tariffs
C. States' Rights
D. All of the above
Answer: I think D
Step-by-step explanation: I know slavery and states rights but i don’t know about the b one
Answer: All of the above
Step-by-step explanation: The south wanted slavery, lower or no tariffs, and individualized states writes. On the other hand, the north wanted no slavery, tariffs, and a central government.
What is a fraction equivalent to 4/4? Explain how you know.
Answer: Any number over itself is equivlent to 4/4.
Examples: 3/3, 18/18, 5/5, 90/90
Step-by-step explanation:
Because 4/4 is equivalent to 1 whole.
A fraction that is equivalent to 4/4 would be, 5/5 as, After simplifying the fraction 5/5 is equal to 1.
A fraction is a part of the whole number and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called a fraction.
Given that,
The fraction is,
⇒ 4/4
Now, after simplifying the fraction we get;
⇒ 4/4
⇒ 1
So, Let a fraction that is equivalent to 4/4 would be;
⇒ 5/5
After simplifying we get;
⇒ 5/5 = 1
Therefore, A fraction that is equivalent to 4/4 would be, 5/5
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Which trigonometric functions have a domain of [–1, 1]?
Answer:
A. y = arcsinx and y = arccosx
Step-by-step explanation:
edge
The trigonometric functions have a domain of [–1, 1] is sine and cosine function.
What is Domain?The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f(x) make up this set. A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.
Given:
From the given identity, the following things can be interpreted:
cos²x = 1- sin² x
cos x = √(1- sin2x)
Since the cosine function is known to be defined for real numbers, the value contained within the root is always positive. Therefore,
1- sin²x ≥ 0
sin²x ≤ 1
sin x ∈ [-1, 1]
Similarly,
1- cos²x ≥ 0
cos²x ≤1
cos x ∈ [-1,1]
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WILL MARK AS BRAINLIEST
Answer:
C!
Step-by-step explanation:
I Got it correct! I hope you have a wondeful weekend and Day!!!
Coach Crowell won 80% of the games he pitched. If he pitched 35 games, how many did he win?
Answer:
28
Step-by-step explanation:
Multiply 35 by .8
Answer:
If he pitched 35 games then he will win 28 of his games.
Step-by-step explanation:
You take 35 and multiply it by the percentage. But first make the percentage a decimal by moving the decimal two places to the right making it .8
Then you multiply and you have your answer!
You rode your bike for 5 miles in 30 minutes.
If
you rode at the same rate, you would ride 12 miles in 80 minutes.
12
HINT:
5
30
O True
O False
Which number is a zero of the function f?
f(x) = x2 - x - 6
F 6
G2
H 3
IO
Answer:
zeros of the function are −2 and 3
Step-by-step explanation:
there is no -2 so H.3
How can we find how many inches wide the coat box is?
Answer:
First we found the sum of 15.438 and 3.18. The subtract the answer from 32.476.
Option A is correct.
Step-by-step explanation:
The total width of box is = 32.476
Width of box of T-shirts = 15.438
Width of box of Socks = 3.18
We need to find width of coat box.
The width of coat box can be found as:
Total Width = Width of box of T-shirts + Width of box of Socks + width of coat box
32.476 = 15.438 + 3.18 + width of coat box
32.476 = 18.618 + width of coat box
width of coat box= 32.476 - 18.618
width of coat box = 13.858
So, The Width of coat box = 13.858 inches
First we found the sum of 15.438 and 3.18. The subtract the answer from 32.476.
Option A is correct.
Can you help me please
Answer:
f(-4)=3(4)^2-5(4)
16*3-20
48-20
f(-4)=28
Translate the sentence into an equation. Four less than a number is 17. Which equation is correct?
x - 17 = 4
X - 4 = 17
x + 4 = 17
x + 17 = 4
Answer:
b
Step-by-step explanation:
Determine whether the triangles are congruent by sss sas asa aas or hl
Answer:
the answer is they are congruent
Complete the solution of the equation. Find the
value of y when x equals 15.
-x + 2y = -1
The weight of 100 identical samples of a substance is 0.01 pounds.
What is the weight of 10,000 samples?
0.01/100 = 0.0001 x 1000 = 0.1lb
what is the solution of the following? *
-4 = 16
Infinite solutions
no solution
Answer: no solution
Hope this helps and good luck :)
Step-by-step explanation:
percent change of 14 books to 40 books
Answer:
185.714285714%
A change from 14 to 40 represents a positive change (increase) of 185.71428571428572%
Graph a line through (2,-5) and have a slope of -4
im sorry: In order to solve the inequality -x > 8, which of the following steps must be done?
70 POINTS ANSWER QUICK! PLEASE PLEASE
Dilate the figure below by a scale factor of 1/2 and provide the points for the new image.
What is f, e, g,?
Step-by-step explanation:
F -2,4
E -2,-2
G 4,-4
is the answer
Answer:
f -2,4
e -2,-2
g 4,-4
Step-by-step explanation:
twelve increased by a number
Answer:
12+# OR 12+x
Step-by-step explanation:
Increased by 12 means plus 12. The word "is" in equations is an equal sign. So far, you have 2n+12. On the other side of the equal sign, you have 31 less than 3 times a number.
HELP ASAP ILL GIVE BRAINLIEST!!!
At the park, 3/5 of the space is for the playground equipment . Of that space. 1/4 is used for swings. What fraction of the park is used for swings?
3/20
1/5
1/3
4/9
Answer:
1/5 is ur answer
Step-by-step explanation:
Alexa bought 25 pounds of turkey for $26.25. What is the cost per
pound?
Answer:
$1.05 Per Pound
Step-by-step explanation:
Answer: $1.05/pound
Step-by-step explanation:
$26.25 / 25 = $1.05
A submarine dived 172 ft and 4 minutes find the average change in depth from the submarine each minute
Answer:
43 ft per minute
Step-by-step explanation:
divide 172 by 4 to get the feet per 1 minute
write an equation for each description. solve for x
Answer:
x = 33
Step-by-step explanation:
Because of the little square we know the total angle is 90
24 + 2x = 90
-24
2x = 66
/2
x = 33
A box contains 2 purple marbles, 2 blue marbles, 3 green marbles, and 5 red marbles. What is the probability of picking a green marble?
Answer:
0.25
Step-by-step explanation:
The total number of marbles is 2 + 2 + 3+ 5 = 12
the number of green ones is 3
So the probability of green = 3/12 = 1/4 = 0.25
Answer:
Red
Step-by-step explanation:
Because it was most pick the first time
The perimeter of a rectangle,p, is given by p =2L + 2W , where L is its length and w is its width what is the perimeter of a rectangle of length 15ft and width 15ft ?
Answer:girl use google
Step-by-step explanation:what
Can smoke please help me with this I need help I’ll give brainliest
Answer:
only one solution at x=0
Step-by-step explanation: