Answer:
900,000 books.
Step-by-step explanation:
The volume of the container = 24 * 9 * 8
= 1728 m^3
The volume of each book = 20*16*6 = 1920 cm^3
There are 100*100*100 = 1,000,000 cm^3 in 1 m^3.
So the number of books the container can hold
= (1728 * 1000000) / 1920
= 900,000.
The electrical charge on a metal plate is given
by the function below, where t is the time in
seconds. What is the charge after 10 seconds?
C (t) = 12e +15
Answer:
after 10 seconds the charge is 1.624
Step-by-step explanation:
I think your question missed key information, allow me to add in and hope it will fit the orginal one.
The electrical charge on a metal plate is given by the function below, where t is the time in seconds. What is the charge after 10 seconds?
C (t) = 12[tex]e^{\frac{-t}{5} }[/tex]
My answer:
Given the information:
C (t) = 12[tex]e^{\frac{-t}{5} }[/tex]
when t =10 we have:
C (10) = 12[tex]e^{\frac{-10}{5} }[/tex]
<=> C (10) = 12[tex]e^{-2}[/tex]
<=> C (10) = 12[tex]\frac{1}{e^{2} }[/tex]
<=> C (10) = 12 * 0.1353
<=> C (10) = 1.624
Hence, after 10 seconds the charge is 1.624
An adult takes 800 mg of ibuprofen. Each hour, the amount of ibuprofen in the person's
system decreases by about 32%. How much ibuprofen is left after 5 hours?
Answer:
116.31468544 mg ibuprofen left
Step-by-step explanation:
Since there are 800 mg at the beginning and the system decreases by about 32% of the ibuprofen
After 1 hour
→ 800 - (800x32/100) = 800 - 256 = 544 mg ibuprofen left
After 2 hours
→ 544 - (544x32/100) = 544 - 174.08 = 369.92 mg ibuprofen left
After 3 hours
→ 369.92 - (369.92x32/100) = 369.92 - 118.3744 = 251.5456 mg ibuprofen left
After 4 hours
→ 251.5456 - (251.5456x32/100) = 251.5456 - 80.494592 = 171.051008 mg ibuprofen left
After 5 hours
→ 171.051008 - (171.051008x32/100) = 171.051008 - 54.73632256 = 116.31468544 mg ibuprofen left
To find the amount of ibuprofen left after 5 hours, the initial 800 mg is multiplied by 0.68 raised to the 5th power, resulting in approximately 115.28 mg remaining.
To calculate the amount of ibuprofen left after 5 hours, we can use the exponential decay formula. Since the amount decreases by 32% each hour, we can represent this as a decay rate of 68% (100% - 32%) remaining each hour. Therefore, the amount of ibuprofen after one hour is 68% of the initial amount, and we can represent this as a multiplication by 0.68 for each passing hour.
The formula to find the amount of ibuprofen left after 5 hours is:
Final amount = initial amount × (0.68)⁵
Using the initial amount of 800 mg and raising 0.68 to the 5th power:
Final amount = 800 mg × 0.68⁵
Final amount = 800 mg × 0.1441
Final amount ≈ 115.28 mg
So, approximately 115.28 mg of ibuprofen is left in the adult's system after 5 hours.
Which is 0.54 converted to a simplified fraction?
Ο27/50
Ο54/100
Ο8/11
Ο54/99
Answer:
27/50
Step-by-step explanation:
0.54 =54/100, 54 and 100 have a common factor of 2, so you can divide by each by 2 and get 27/50
Can someone give me the answer
Answer:
C
Step-by-step explanation:
The T shape is composed of 2 rectangles.
Area of top rectangle = 20 × 4 = 80 cm²
Area of upright triangle = 16 × 6 = 96 cm²
Total area = 80 + 96 = 176 cm² → C
Write an equivalent expression using the distributive property and combining like terms.
5(3x – 2) + x =
Julio says, "If you subtract 19 from my number and multiply the difference by -6, the result is -30." What is Julio's number?
What does percent mean?
Answer: A part or other object per hundred. Where a ratio second term is 100.
A soccer team is having a car wash. The team spent $65 on supplies. They earned $335, including tips. How much was the the team's profit?
Answer:
270
Step-by-step explanation:
I think that it is 270 because i did 335-65=270.
Marissa bought 60 horns for her New Year’s Eve party for $83.40.
She needs to purchase an additional 18 horns for the party at the same unit rate.
Choose True or False for each statement.
9x^2 + 6x -1 =0 (Round to the nearest hundredth)
Equation 1: 5x + 3y = 19
Equation II: 2x - 4y = -8
In solving the system of equations, which operations will allow the elimination of the variable x in the next step?
Answer:
C
Step-by-step explanation:
If you multiply the top equation by 2 and the bottom equation by -5, then there will be a 10x in the first equation and a -10x in the second, which you can cancel out in the next step. Therefore, the correct answer choice is C. Hope this helps!
To eliminate x, we need to make the coefficient of x the same in both equations. We achieve this by multiplying Equation I and Equation II by certain numbers. Subtraction of the modified equations then eliminates x, leaving one equation with y.
Explanation:To eliminate the variable x in the system of equations, we need to multiply each equation by a number that would make the coefficients of x in both equations equal, such that they cancel each other out when we add or subtract the equations.
For the given equations: Equation I: 5x + 3y = 19 and Equation II: 2x - 4y = -8, we can multiply Equation I by 2 and Equation II by 5.
This will result in:
Equation I: 10x + 6y = 38 and Equation II: 10x - 20y = -40
By subtracting Equation II from Equation I, we are able to eliminate the x variable, resulting in the equation 26y = 78.
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8. Kane has 4 pieces of wood available to build a triangle-shaped garden.
Which pieces of wood can he use? Select all that apply*
2ft, 3ft, 4ft
2ft, 3ft, 5ft
2ft, 4ft, 5ft
3ft, 4ft, 5ft
Using the Triangle Inequality Theorem, we can conclude that the pieces of wood measuring 2ft, 3ft, 4ft, and 3ft, 4ft, 5ft can be used to build a triangle-shaped garden.
To determine which pieces of wood can be used to build a triangle-shaped garden, we need to apply the Triangle Inequality Theorem. This theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. We will check each set of wood pieces to see if they fit this criterion.
2ft, 3ft, 4ft: Do these lengths satisfy the Triangle Inequality Theorem? Yes, because 2 + 3 > 4, 2 + 4 > 3, and 3 + 4 > 2.2ft, 3ft, 5ft: Do these lengths satisfy the theorem? No, because 2 + 3 is not greater than 5. Therefore, these cannot form a triangle.2ft, 4ft, 5ft: Do these lengths satisfy the theorem? No, because 2 + 4 is not greater than 5. Therefore, these cannot form a triangle.3ft, 4ft, 5ft: Do these lengths satisfy the theorem? Yes, because 3 + 4 > 5, 3 + 5 > 4, and 4 + 5 > 3.Therefore, the pieces of wood that can be used to build a triangle-shaped garden are the ones measuring 2ft, 3ft, 4ft and 3ft, 4ft, 5ft.
Solve the System of Equations
Problem: You have a small ranch with chickens and goats. There are 80 heads and 216 legs. Find the number of both chickens and goats.
Write 2 equations
Solve the System ( use the substitution method )
Graph both equations (use Desmos or graph by hand)
Answer:
Equations: [tex]x+y=80\,,\,2x+4y=216\,\,[/tex]
number of chickens = 52
number of goats = 28
Step-by-step explanation:
Given: A small ranch has chickens and goats
Total number of heads = 80
Total number of legs = 216
To find: number of chickens and goats
To draw: the graph
Solution:
Let x denotes number of chickens and y denotes number of goats.
According to the question,
[tex]x+y=80\,\,(i)\\2x+4y=216\,\,(ii)[/tex]
From (i), put [tex]x=80-y[/tex] in (ii)
[tex]2(80-y)+4y=216\\160-2y+4y=216\\2y=216-180\\2y=56\\y=\frac{56}{2}=28[/tex]
Put [tex]y=28[/tex] in equation (i)
[tex]x+28=80\\x=80-28=52[/tex]
So,
number of chickens = 52
number of goats = 28
helppppppppppppppppppppppppppppp
Answer:
942 cm³.
Step-by-step explanation:
To find the volume of the cone, we will need to use the formula: [tex]\frac{1}{3}[/tex]bh.
To find the base, we simply need to find the area of the circle. This is done by using: [tex]\pi r[/tex]².
From this, we get a base area of ≈314 cm².
Now, to find the volume of the cone, we, multiply by the height giving us:
314×9= 2826.
Finally, the last step is to multiply this by [tex]\frac{1}{3}[/tex], resulting in:
2826×[tex]\frac{1}{3}[/tex]= 942.
Therefore, 942 cm³ is the correct answer.
Find the volume of the triangular prism 3cm 4 cm 5cm 11cm
Answer:
82.5cm²
Step-by-step explanation:
The volume of a triangular prism is : V = 1/2 * a * c * h
V = 1/2 * 3 * 5 * 11
= 165/2
= 82.5cm²
Solve for m.
12.6+4m=9.6+8m12.6+4m=9.6+8m
Answer:
m = 3/4
Step-by-step explanation:
12.6+4m=9.6+8m
Isolate the variable, m. Note the equal sign, what you do to one side, you do to the other.
Subtract 4m and 9.6 from both sides:
12.6 (-9.6) + 4m (-4m) = 9.6 (-9.6) + 8m (-4m)
12.6 - 9.6 = 8m - 4m
Simplify:
12.6 - 9.6 = 8m - 4m
3 = 4m
Isolate the variable, m. Divide 4 from both sides:
4m = 3
(4m)/4 = (3)/4
m = 3/4
3/4 is your answer for m.
~
Answer:
3/4 =m
Step-by-step explanation:
12.6+4m=9.6+8m
Subtract 4m from each side
12.6+4m-4m =9.6+8m-4m
12.6 = 9.6 +4m
Subtract 9.6 from each side
12.6 - 9.6 = 9.6 - 9.6 +4m
3 = 4m
Divide each side by 4
3/4 = 4m/4
3/4 =m
Roy has a bag containing green, blue, red, brown, and black marbles. He randomly picks a marble and replaces it. He repeats this experiment 60 times and records the results in this table.
Answer:
Green: 0.3
Blue: 0.1
Red: 0.35
Brown: 0.15
Black: 0.1
cannot
Step-by-step explanation:
Hi, thank you for posting your question here in Brainly.
To find the probability of an event, you have to divide the number of trials of that event that succeeded to the total number of trials. Based on that definition, the probability would be 18/60=0.3, 6/60=0.1, 21/60=0.35, 9/60=0.15, 6/60=0.1
I hope i helped you out and helped you learn something new :)
Answer:
0.3
0.1
0.35
0.15
0.1
Cannot
---------------------------------
I Did The Test <3
Determine the weight for each animal and their total combined weight?
Answer:
Cat-5
Bunny-5
Dog-16
Step-by-step explanation:
Also doggo is de cutest :3
Also dats mah guess I tried mah best Im sorry if I got it wrong :(
But can I PLEASE get brainliest????
To determine the weight for each animal and their total combined weight, you would need to know the weight of each individual animal. Let's say we have three animals: a lion weighing 200 pounds, a zebra weighing 300 pounds, and a giraffe weighing 500 pounds. To find their total combined weight, you simply add up their weights: 200 + 300 + 500 = 1000 pounds.
Explanation:To determine the weight for each animal and their total combined weight, you would need to know the weight of each individual animal. Let's say we have three animals: a lion weighing 200 pounds, a zebra weighing 300 pounds, and a giraffe weighing 500 pounds.
To find their total combined weight, you simply add up their weights: 200 + 300 + 500 = 1000 pounds.
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What is 12:36 written as a ratio in lowest term?
Answer:
1:3
Step-by-step explanation:
you just need to simplify it
Jalen is in a 24 hour dance-a thin as part of a fundraiser. He raised $50 in the first hour of competition. Then another 60 in the second hour. Then another $72 dollars in the third hour. If this pattern continues what is the total amount of money he will earn if he stays in the entire competition
Answer: $786
Step-by-step explanation:
first hour = $50
Second hour = $60
Third hour = $72
Total amount after 24 hours :
4th hour = 72 + 1 4 = 86
5th = 86 + 16 = 102
6th = 102 + 18 = 120
7 = 120 + 20 = 140
8 = 140 + 22 = 162
9 = 162 + 24 = 186
10 = 186 + 26 = 212
11 = 212 + 28 = 240
12 = 240 + 30 = 270
13 = 270 + 32 = 302
14 = 302 + 34 = 336
15 = 336 + 36 = 372
16 = 372 + 38 = 410
17 = 410 + 40 = 450
18 = 450 + 42 = 492
19 = 492 + 44 = 536
20 = 536 + 46 = 582
21 = 582 + 48 = 630
22 = 630 + 50 = 680
23 = 680 + 52 = 732
24 = 732 + 54 = 786
The table shows whether pupils in a class have school dinners
Boys who have school dinners 6 boys who don't 4
Girls who have school dinners 7 girls who don't 3
What percentage of boys have school dinners=
What percentage of pupils in this class have school dinners
Answer:
Percentage of boys have school dinners: 60%
Percentage of pupils in this class have school dinners: 65%
Step-by-step explanation:
1. There are: 6+4 = 10 boys in the class -> corresponding to 100 %
1 boy is corresponding to 100% :10 = 10%
6 in 10 have school dinners -> 10% x 6 = 60%
2. There are 10( boys) + 7 (girls) + 3 (girls) = 20 pupils in the class -> corresponding to 100%
1 pupil is corresponding to 100% : 20 = 5%
There are : 6 + 7 = 13 pupils who have school dinners
13 in 20 have school dinners -> 5% x 13 = 65%
The solution is :
Percentage of boys have school dinners: 60%
Percentage of pupils in this class have school dinners: 65%
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.
here, we have,
given that,
Boys who have school dinners 6 boys who don't 4
Girls who have school dinners 7 girls who don't 3
so, we get,
1. There are: 6+4 = 10 boys in the class -> corresponding to 100 %
1 boy is corresponding to 100% :10 = 10%
6 in 10 have school dinners -> 10% x 6 = 60%
2. There are 10( boys) + 7 (girls) + 3 (girls) = 20 pupils in the class -> corresponding to 100%
1 pupil is corresponding to 100% : 20 = 5%
There are : 6 + 7 = 13 pupils who have school dinners
13 in 20 have school dinners -> 5% x 13 = 65%
Hence, The solution is :
Percentage of boys have school dinners: 60%
Percentage of pupils in this class have school dinners: 65%
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The length of a swimming pool is 5 feet
shorter than twice the width. Let n
represent the width. Which expression
gives the length of the swimming pool?
I hope this helps you
Mr.Samuel planted 40 pepper plants when he began his garden in 2005. Each year the number of pepper plants doubled. The number of plants,f(x),after x years is modeled with an exponential function
Answer:
[tex]f(x)=40*2^x[/tex]
Step-by-step explanation:
Mr Samuel Planted 40 pepper plants in 2005.
Therefore:
f(0)=40
Each year the number of pepper plants doubled.
In 2006, f(1)=40*2
In 2007, f(2)=40*2*2[tex]=40*2^2[/tex]
In 2008, f(3)=40*2*2*2[tex]=40*2^3[/tex]
If we continue in like manner. The number of pepper plants after x years will be given by the exponential function:
[tex]f(x)=40*2^x[/tex]
where 40 is the initial number and 2 is the growth factor.
The winning speed in the 2011 Indianapolis 500 was 170.265 miles per hour. What is that speed rounded to the nearest tenth of a mile per hour?
Answer:
170.27
Step-by-step explanation:
The value of speed rounded to the nearest tenth of a mile per hour is,
⇒ 170.3 miles per hour.
We have to give that,
The winning speed in the 2011 Indianapolis 500 was 170.265 miles per hour.
Here, The speed is,
⇒ 170.265 miles per hour.
We can round to the nearest tenth of a mile per hour as,
Here, 6 is greater than 5.
Hence,
⇒ 170.265 miles per hour.
⇒ 170.3 miles per hour.
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What is the radius and diameter of the following circle?
14 cm
Radius
cm
Diameter
om
Answer:
r = 7 cm
d = 14 cm
Step-by-step explanation:
The diameter is given. It goes across the circle going through the middle
D =14
The radius is 1/2 of the diameter
r = d/2 = 14/2 =7 cm
A cone and a cylinder have the same base and height, as shown below.
The volume of the cylinder is 84 sin? What can be concluded about the volume of the cone? Check all that apply
The volume of the cone is
the volume of the cylinder.
The volume of the cylinder is 2 times the volume of the cone.
The volume of the cone is less than the volume of the cylinder
Answer:
The volume of the cone is less than the volume of the cylinder .
Cone volume is 1/3 the volume of cylinder volume
Step-by-step explanation:
We can see from the volume formulas:
for cone volume V = (1/3)*(pi)*(r^2)*h
for cylinder volume C = (pi)*(r^2)*h
for equal base and height, C = 3*V
The volume of the cone is less than the volume of the cylinder .
Cone volume is 1/3 the volume of cylinder volume
The correct answers are:
A) The volume of the cone is 1/3 the volume of the cylinder.
C) The volume of the cone is less than the volume of the cylinder.
D) The expression 84(pi)/3 finds the volume of the cone.
I just took the quiz on edge
What is 12 times 67
Answer:
12 times 67 is 804
Step-by-step explanation:
Use online calculator
Answer:
804
Step-by-step explanation:
What is the product of 5.61 and 0.15
Answer:
0.8415 :)
Step-by-step explanation:
To find the product of 5.61 and 0.15, multiply the two numbers to get 2805 and then place the decimal to account for a total of four decimal places in both numbers, resulting in a product of 0.8415.
Explanation:The product of 5.61 and 0.15 is calculated by simply multiplying the two numbers together. To do this, you can line up the numbers as you would in any multiplication problem, making sure to pay attention to the decimal places:
5.61Since there are two decimal places in each number we are multiplying (two in 5.61 and two in 0.15), we need to have a total of four decimal places in the answer. Taking the raw multiplication result of 2805 and inserting the decimal correctly, we get the final answer:
0.8415Therefore, the product of 5.61 and 0.15 is 0.8415.
Solve for x. Assume that lines which appear to be tangent are tangent.
Answer:
C. 2
Step-by-step explanation:
8x-1=7x+1
subtract 7x from both sides
x-1=1
add 1 to both sides
x=2
Answer:
C. 2
Step-by-step explanation:
8x-1=7x+1
subtract 7x from both sides
x-1=1
add 1 to both sides
x=2
A boat leaves the dock and travels 5 miles due south, then 12 miles due west.
How far is the boat from the dock?
Dock
5 mi
Boat
12 mi
Answer:
Step-by-step explanation: 13 miles from doc
Answer:
13 miles
Step-by-step explanation:
5^2 + 12^2 = x^2
25 + 144 = x^2
169 = x^2
13 = x