Final answer:
To find the empty space in the can of tennis balls, calculate the volume of one tennis ball and multiply by three (since there are typically three balls per can), then subtract from the volume of the can. There are 43.54 inches³ of empty space in the can, after rounding to the nearest hundredth.
Explanation:
To calculate the empty space inside the can of tennis balls, we first need to determine the volume of one tennis ball and then the volume of the can. Given the radius of each tennis ball is 1.5 inches, we use the formula for the volume of a sphere:
V_ball = 4/3 π r³
Substitute with r = 1.5 inches and π = 3.14:
V_ball = 4/3 × 3.14 × (1.5 inches)³
V_ball = 4/3 × 3.14 × 3.375 inches³
V_ball = 14.13 inches³ (rounded to the nearest hundredth)
Next, we calculate the volume of the can, using the formula for the volume of a cylinder:
V_can = π r² h
Substitute with r = 1.75 inches and h = 9 inches:
V_can = 3.14 × (1.75 inches)² × 9 inches
V_can = 3.14 × 3.0625 inches² × 9 inches
V_can = 85.93 inches³ (rounded to the nearest hundredth)
The empty space within the can is therefore the volume of the can minus the volume of three tennis balls (assuming the can holds three balls):
Empty space = V_can - 3 × V_ball
Empty space = 85.93 inches³ - 3 × 14.13 inches³
Empty space = 85.93 inches³ - 42.39 inches³
Empty space = 43.54 inches³ (rounded to the nearest hundredth)
Therefore, there are approximately 43.54 inches³ of empty space inside the can.
Calculate one tenth of an income of 12,347 by dividing by 10
12,347/10
=1,234.7
So 1/10th of the income would be
$1,234.7
One tenth of an income of $12,347, calculated by dividing by 10, gives the result $1,234.7. Dividing by 10 is a common mathematical method for finding a tenth of a value.
Explanation:To calculate one tenth of an income of 12,347 you need to divide 12,347 by 10. This will give you the value of 1,234.7. This method is often used in mathematics to calculate percentages, fractions, or a portion of a given value.
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The tables shows the distance traveled over time while traveling at a constant speed.
What is the ratio of the change in y-values to the change in x-values?
Answer: b is the answer
Step-by-step explanation:
2400-1200=1200
2400-1200=1200
hopes this help
find the x and y-intercepts of the line that passes through the points (-6,-6) (4,-2), I will mark brainliest!!
Answer:
The x intercept will be (9,0) and the y intercept will be (0,-3.6)
Step-by-step explanation:
If you graph both of these points on the graph you can see the x intercept clearly but you have to solve for the y intercept by plugging it into y=mx+b equation.
State how the measure of a central angle and its intercepted arc are related.
Question 4 options:
The central angle is the same measure as the intercepted arc.
The central angle is double the measure as its intercepted arc.
The central angle is ½ the measure of its intercepted arc.
The central angle’s measure is not related to the measure of its intercepted arc.
Answer:
Step-by-step explanation:
The measure of a central angle is equal to the measure of its intercepted arc. A chord is a segment that has is endpoints on a circle. ... A line is called a straight angle and it forms a 180 degree angle. A central angle is an angle with its vertex at the center of a circle and its sides are radii of the same circle.
Justin walked his dog 2 blocks west,6 blocks north,2 blocks east,and 6 blocks south.Then he walked he walked his other dog the same route.How many blocks did Justin walk in all?
Answer:
32
Step-by-step explanation:
Thankyouuuuuuuuuuuuuuuuuu
243 is 60% of what amount
Answer:
60% of 243 = 145.80
Hope this helps,
Davinia.
60% × 243 =
(60 ÷ 100) × 243 =
(60 × 243) ÷ 100 =
14,580 ÷ 100 =
145.8
how to make sure it is right we do the reverse of what we did
145.8 ÷ 243 =
0.6 =
0.6 × 100/100 =
0.6 × 100% =
(0.6 × 100)% =
60%
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How do you think a graph of the scientist’s data will differ from the graph representing the population growth in the game, if at all?
Final answer:
A real-world population growth graph may differ from a game's graph in terms of actual population numbers, reflecting real-life constraints versus game assumptions, although the overall S-shape indicating logistic growth may be similar. This shows the importance of graph type and display in interpreting growth rates and relationships in data.
Explanation:
When comparing a graph of a scientist’s data on population growth to a graph representing population growth in a game, there may be notable differences. The x-y values on the graphs indicating the time frames for the growth curves would generally be the same since time is a consistent measure. However, while the overall S-shape of a logistic growth model might be similar, representing the slowdown in growth as the population reaches carrying capacity, the actual population numbers corresponding to the starting populations could differ based on real-world limitations versus game conditions.
Further, displaying data graphically helps in interpreting growth rates and relationships between data points. For instance, in a scenario where an individual receives a $2 raise each year, the growth rate decreases over time unless the raise amount also increases. In terms of graphing, economists and other professionals use various types of graphs like pie charts or bar graphs to visualize data, such as the distribution of hours played amongst students, or the comparison of populations among countries. The choice of the graph type and how it's displayed can impact the interpretation of the data.
Moreover, when comparing real data with that from a game, the assumptions and simplifications made in a game's model might not perfectly reflect real-life complexities, leading to different population growth dynamics and consequently different shapes of the graph beyond just the starting population numbers.
PLEASE HELP WITH THIS QUESTION
Carol’s last credit card statement said that she had an account balance of -$130. Which of the following accounts balances represents a debt greater than Carol’s?
A debt greater than Carol's would bear a value that is numerically larger but still under the negative sign. In simpler terms, any debt greater than -$130 is indeed a greater debt.
Explanation:The question asks, 'Which of the following account balances represents a debt greater than Carol's?' When working with debts in math, it's important to remember that the larger the number, the greater the debt. So any number larger than -$130 represents a debt greater than Carol's.
For example, a balance of -$150 would be a larger debt than Carol's -$130. Why? Because when you owe $150, it's more than owing $130, despite the negative sign. Conversely, a balance of -$100 would be less of a debt than Carol's, because owing $100 is less than owing $130.
It's a somewhat counterintuitive part of working with negative numbers, but once you understand that the negative sign represents a debt, it starts to make sense. The concept of debt here is similar to examples provided where people often have a tendency to hold onto a savings account while carrying a credit card debt.
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An account balance which represents a greater value than Carol's account balance is -$165
Using the parameters given for our Calculation;
Carol's account balance = -$130Values which represents a greater debt than Carol's are values which falls farther to the left of 130 on a number line.
From.the values given, only -165 falls further to the left of -130 on a number line.
Hence, the correct answer is -$165.
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Carli made a photo book.she put 9 pictures on each page. She filled 6 pages with pictures of her trip to Fort Lauderdale and 4 pages with pictures of her trip to Las Vegas. How many pictures are in her photo book?
Answer:
90
Step-by-step explanation:
If you take 9 pictures on each page that is gonna be its own number so you than add 6 and 4 and get ten than multiply it by 9 and boom you get 90
Carli has a total of 90 pictures in her photo book, with 54 pictures from her trip to Fort Lauderdale and 36 pictures from her trip to Las Vegas.
Explanation:In order to find the total number of pictures in Carli's photo book, we need to calculate the number of pictures on each page for both trips and then sum them up. Carli put 9 pictures on each page. She filled 6 pages with pictures of her trip to Fort Lauderdale, so the number of pictures for this trip is 6 pages x 9 pictures per page = 54 pictures. Carli also filled 4 pages with pictures of her trip to Las Vegas, so the number of pictures for this trip is 4 pages x 9 pictures per page = 36 pictures. The total number of pictures in her photo book is 54 pictures + 36 pictures = 90 pictures.
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Find the exact circumference of a circle with diameter equal to 8 ft. 8 ft. 16 ft. 64 ft.
Answer:
[tex]8\pi\ ft[/tex]
Step-by-step explanation:
we know that
The circumference of a circle is equal to
[tex]C=\pi D[/tex]
where
D is the diameter
we have
[tex]D=8\ ft[/tex]
substitute
[tex]C=\pi (8)=8\pi\ ft[/tex]
Answer: [tex]8\pi\ \text{ft.}[/tex]
Step-by-step explanation:
We know that formula to calculate the circumference of a circle is given by :-
[tex]\text{Circumference}=\pi d[/tex], where d is the diameter of the circle.
Given: The diameter of the circle : [tex]d=\ 8\ ft.[/tex]
Then , the circumference of a circle is given by :-
[tex]\text{Circumference}=\pi (8)=8\pi\ \text{ft.}[/tex]
Hence, the exact circumference of a circle with diameter equal to 8 ft = [tex]8\pi\ \text{ft.}[/tex]
Find the solution of the equation from the given numbers.
x + 14 = 23; 9, 55, 37, or 30
55
9
37
30
x+14=23/-14
x=9
9+14=23
9 because 14+9 equals 23
Kyle grates 4/8 pound of cheese for enchiladas. He grates 2/8 pound of cheese for tacos. How much cheese does Kyle grate in all?
He grates 6/8 pounds of cheese in all.
For this problem, you just have to add the numerators and keep the denominators.
4/8 + 2/8 = 6/8.
Remember, if the denominator is the same, just add the numerator.
When you add fractions remember only add the numerator. There has to be a common denominator. Like 8.
4/8 + 2/8
4+2=6
So the answer is 6/8
joshua,steve,antonioare baking pie.joshua has 1/2 cups of flour, steve has 1 3/4 cups of flour ,and Antonio has 1 4/6 cups of flour . how may cups of flour do they have all together ?
Answer:
They all have 3 cups together.
Step-by-step explanation:
I added 1/2 plus 1 3/4 plus 1 4/6 on a calculator and got 3.91666666667
Basically 3.
The reduced row-echelon form of the augmented matirx of a system of equations is given. Find the solution of the system.
Answer:
option C)
(19,2,5)
Step-by-step explanation:
| 4 | x
| 12 | y
| 5 | z
After reducing the matrix in row-echelon form we are left with three equation as following
Equation 1
0x + 0y + 1z = 5
Equation 2
0x + y1 + 2z = 12
Equation 3
1x + 0y -3z = 4
SolutionAs in first equation
0 + 0 + z = 5
z = 5
Put this value of z in equation 2 and 3
y + 2(5) = 12
y + 10 =12
y = 12 - 10
y = 2
x + 0 -3(5) = 4
x - 15 = 4
x = 4 + 15
x = 19
So the solution of the system is (x,y,z) = (19,2,5)
Chen completed the division problem below.
Answer:
B. He multiplied the dividend by 100 instead of 10.
Step-by-step explanation:
Chen had to divide [tex]1.926[/tex] by [tex]0.9[/tex]. To make it easier to divide, he thought of multiplying both the dividend and the divisor by 10.
Chen multiplied the divisor by 10 but mistakenly multiplied the dividend by 100 instead of 10.
So his whole division problem was changed.
Therefore, the correct answer option is B. He multiplied the dividend by 100 instead of 10.
Answer:
option B
He multiply the dividend by 100 instead of 10
Step-by-step explanation:
Given that,
divisor = 0.9
dividend = 1.926
Chen decided to multiply each by 10 to get
divisor = 0.9 x 10 = 9
dividend = 1.926 x 10 = 19.26
but unfortunately he multiply the dividend by 100
As,
1.926 x 100 = 192.6
So,
Chen's error was that he multiply the dividend by 100 instead of 10.
what is the value of the expression?
2 1/4 divided by 1 2/5
Answer:
45/28
Step-by-step explanation:
Convert them to mixed fractions
(2 * 4 + 1) / 4 ÷ (1 * 5 + 2) / 5
8 + 1 / 4 ÷ 5 + 2 / 5
9/4 ÷ 7/5
Flip the second fraction and flip the sign - to multiply.
9/4 × 5/7
9 × 5 = 45
4 × 7 = 28
45/28
This could be left as a fraction or converted to a number:
1.60714285714
Answer:
The Answer is 1 17/28
Step-by-step explanation:
1) turn the mixed fraction into a regular fraction
2 1/4 divided by 1 2/5 = 9/4 divided by 7/5
2) Then Multiply
9/4 X 7/5= 45/28 (Straight across)
3) Simplify 45/28
Give you 1 17/28
Hopes this helps!
Which product is greater than 1/2 helpppppp plzzzz
Please list the answer choices because anything that is greater than 0.5 is correct. If the fraction’s denominator is larger than 2 it is incorrect
If g(x)=x^2-2x+1 were shifted 2 units to the left, what would be the new equation, h(x)?
Answer:
h(x) = (x+2) ^2 -2x -3
Step-by-step explanation:
If we have to shift 2 units left the we have to replace x by x+2 i.e
h(x) = (x+2)^2-2(x+2)+1
= (x+2)^2 -2x-4 +1
= (x+2)^2 -2x -3
If one paperclip has the mass of 1 gram and 1,000 paperclips have a mass of 1 kilogram, how many kilograms are 8,000 paperclips?
A. 8 kg.
B. 80 kg.
C. 800 kg.
D. 8,000 kg.
Answer:
A. 8kg
Step-by-step explanation:
You don't really need any solution but if
1000 paperclips = 1 kg, then
8000 paperclips = 8kg
Final answer:
To determine the mass of 8,000 paperclips in kilograms, divide 8,000 by 1,000, since 1,000 paperclips weigh 1 kilogram. The result is 8 kilograms, making option A the correct answer.
Explanation:
The question concerns the mass of paperclips in grams and kilograms, which are units of mass in the metric system. To find out how many kilograms 8,000 paperclips would weigh, we need to use the given conversion that 1,000 paperclips have a mass of 1 kilogram. Here's the step-by-step calculation:
Since 1,000 paperclips weigh 1 kilogram, we can find out how many groups of 1,000 paperclips there are in 8,000 paperclips by dividing 8,000 by 1,000.
8,000 paperclips ÷ 1,000 paperclips/kg = 8 kg
Therefore, 8,000 paperclips have a mass of 8 kilograms.
The correct answer to the question is A. 8 kg.
A farmer has 1600 yards of fencing to enclose a rectangular garden. Express the area A of the rectangle as a function of the width x of the rectangle. What is the domain of A?
Answer:
A = (800 yd - x)x, [0, 800]
Step-by-step explanation:
The farmer fences in this rectangular garden using 1600 yds of fencing. Using the formula for the perimeter of a rectangle,
P = 2x + 2L, where x is the width and L is the length. Here P = 1600 yd.
Solving for L: 1600 yd = 2x + 2(L) → 800 yd = x + L → L = 800 yd - x.
The area of the rectangle is A = L·x. Subbing (800 yd - x) for L, we get:
A = (800 yd - x)x. This is the desired formula for the area of the rectangle as a function of x alone. Neither length nor width can be negative, so the domain of this function A is x ≤ 800 yd.
Let the length of the rectangular garden = l yards
And the width of the garden = w yards
Farmer has the fence in length = 1600 yards to cover all the sides of the garden
Therefore, Perimeter of the rectangular garden = 1600 yards
Since, perimeter of the rectangular garden is given by the expression,
Perimeter = 2(l + w)
By substituting the values in the expression,
1600 = 2(l + x)
l + x = 800
l = 800 - x -------(1)
Since, area of the rectangle = Length × Width
= l × w
= lx
Therefore, by substituting the value of 'l' in terms of 'x' in from equation (1),
Area of the rectangular garden = (800 - x)x
If the area of the garden is represented by by the function A(x),
A(x) = (800 - x)x
A(x) = 800x - x²
Since, Area can not be negative or zero,
Domain of the function will be 0 < x < 800
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which value of b makes the trinomial a perfect square
Answer:
12
Step-by-step explanation:
Given trinomial is [tex]x^2-bx+36[/tex].
Now we need to find the value of b that will make the trinomial [tex]x^2-bx+36[/tex] a perfect square.
[tex]x^2-bx+36[/tex]
[tex]=x^2-bx+36[/tex]
[tex]=x^2-bx+6^2[/tex]
compar with [tex]=a^2-2ab+b^2=(a-b)^2[/tex]. we get:
a=x and b=6
then middle term -2ab=-2(x)(6)=-12x
compare -12x with -bx, we get b=12
Hence choice C. 12 is correct.
Answer:
The correct answer is option C. 12
Step-by-step explanation:
It is given a quadratic expression
x² - bx + 36
To find the value of b
From the above expression we can see that 36 is a perfect square,
6² = 36
We can write this expression as ( x - 6)² if b = 12
(x - 6)² = x² - 12x + 36
Therefore the correct answer is option C. b = 12
Students are painting the backdrop for the school play. the backdrop is 15 feet wide and 10 feet high. Every 16 inches on the scale drawing represents 5 feet on the backdrop. What is the area of the scale drawing?
15 points
A=bh for a rectangle. 16x3= 48in(width/base) 16x2= 32in (height) so A=48x32. A= 1,536
in a game the player wins if he rolls a 6 on a number cube .if the number cube is rolled 18 times then what is the reasonable
prediction for the number of unsuccessful rolls
Prediction for the number of unsuccessful rolls is 15.
Step-by-step explanation:There is [tex]\frac{1}{6}[/tex] chance of rolling number 6 on the cube. If we want to find out what is the prediction for rolling number 6 in 18 rolls, we need to multiply [tex]6*\frac{1}{6}[/tex] which is 3. So if we roll a cube 18 times, we will probably got number 6 three times. When we subtract 3 from 18 (18-3), we get 15. That is the answer to your question.
I hope I helped you. I will be really happy, If you mark my answer as the brainliest.Your David
7x^2−5x=9x^2+7x
SOLVE THE EQUATION
PLZZZ SOLVE QUICKLY
Answer:
x=0 x = -6
Step-by-step explanation:
7x^2−5x=9x^2+7x
subtract 7x^2 from each side
7x^2-7x^2−5x=9x^2-7x^2+7x
-5x = 2x^2 +7x
Add 5x from each side
-5x+5x = 2x^2 +7x+5x
0 = 2x^2 +12x
Factor out a 2x
0 = 2x(x+6)
Using the zero product property
2x =0 x+6 = 0
x=0 x = -6
My algebra 1 EOC is coming soon.
What's the best way to study or the best way to past it?
Answer:
do practice review packets and grade yourself
Step-by-step explanation:
there is a website called escambia and google escambia algebra 1 eoc review and there is every thing you need to pass.
please mark me brainliest
Final answer:
To perform well in the Algebra 1 EOC exam, students should study the topics specified by the instructor using provided tools like study guides and flashcards, engage in self-evaluation and active learning, and maintain a good study routine.
Explanation:
To excel in your Algebra 1 End-of-Course (EOC) exam, it is crucial to have a structured and effective study plan. Begin with a clear understanding of the topics you need to cover, such as algebraic expressions, equations, exponents, and functions.
Utilize tools provided by your instructor, like reviews, study guides, flashcards, and PowerPoints. These are specifically tailored to what your instructor deems important and may include topics like number patterns, finance, growth, trigonometry, analytical geometry, and statistics.
Regular self-evaluation helps identify areas that need more attention. Review quizzes and textbook chapter questions, as they are likely indicative of the questions you'll face during the exam. Additionally, engage in active learning by organizing information into categories and patterns, which helps in understanding and retaining complex concepts.
Given a=-3,b=4 and c=-5, evaluate a-b-c
A.-12
B.-6
C-2
Answer:
C
Step-by-step explanation:
a-b-c
-3-4-(-5)
-3-4+5 [as - - = +]
-2
plz help !!!!!!!! A rectangular park is 400 m long and 200 m wide. If you walked around the park twice, how far would you walk?
show work -
Answer:
160,000
Step-by-step explanation:
400 * 200 is 80,000 just walking around once, so then multiply it by two.
80,000 * 2 is 160,000
Solve the system of equations: y−2x=1 6x−y=7
y - 2x = 1
6x - y = 7
Adding equations,
4x = 8
x = 2
y = 2x + 1 = 5
Answer: (2,5)
Check:
5-2(2)=1, good
6(2)-5=7, good
To solve the system of equations y - 2x = 1 and 6x - y = 7, we use the elimination method. By aligning the equations and setting the right sides equal, we can solve for 'x' and then 'y', resulting in the solution x = 2 and y = 5.
Solving the System of Equations
To solve the system of equations:
y - 2x = 1
6x - y = 7
We can use the method of substitution or elimination. In this case, the elimination method seems efficient. Let's align the equations:
y = 2x + 1
6x - y = 7
We can eliminate y by adding the two equations. First, rearrange the second equation:
y = 2x + 1
y = 6x - 7
By setting the right sides equal to each other, we get 2x + 1 = 6x - 7. Solving for x gives us x = 2 and substituting x back into either equation yields y = 5.
Therefore, the solution to the system of equations is x = 2 and y = 5.
3/5 divided by 3/10 equals what
Answer:
2
Step-by-step explanation: