Answer:
The volume of the empty space is [tex]476.67\ cm^{3}[/tex]
Step-by-step explanation:
we know that
The volume of the empty space inside the box is equal to the volume of the box minus the volume of the soccer ball
step 1
Find the volume of the box
The length side of the cube is equal to the diameter of the soccer ball
Let
b -----> the length side of the box
we have
[tex]b=2r=2(5)=10\ cm[/tex]
The volume of the box is equal to the volume of a cube
[tex]V=b^{3}[/tex]
substitute
[tex]V=10^{3}[/tex]
[tex]V=1,000\ cm^{3}[/tex]
step 2
Find the volume of the soccer ball
The volume of the sphere (soccer ball) is equal to
[tex]V=\frac{4}{3}\pi r^{3}[/tex]
we have
[tex]r=5\ cm[/tex]
[tex]\pi =3.14[/tex]
substitute
[tex]V=\frac{4}{3}(3.14)(5)^{3}[/tex]
[tex]V=523.33\ cm^{3}[/tex]
step 3
Find the volume of the empty space
[tex]V=1,000-523.33=476.67\ cm^{3}[/tex]
Clare's teacher has a box of 180 stickers for a group of students to share equally. Does each student get more stickers if there are 6 students or if there are 9 students
Terry just bought a used car with only 28,500 miles on it and it cost $8,200. Every year Terry expects to put another 14,000 miles on the car. Unfortunately, the car’s value will depreciate by 15% per year. How much will the car be worth when it has 100,000 miles on it? Explain your work.
(3c2 + 2d)(–5c2 + d) Select all of the partial products for the multiplication problem above.
Answer:
2d^2
-15c^4
-10c^2 d
3c^2d
Step-by-step explanation:
Just had the question, good luck lovelies! :)
The partial products for the expression (3c² + 2d)(-5c² + d) are -15c⁴, 3c²d, -10c²d, and 2d².
The multiplication of the expression (3c² + 2d)(-5c² + d) step by step,
(3c² + 2d)(-5c² + d)
To find the partial products, we'll use the distributive property, which states that for any numbers a, b, and c:
a(b + c) = ab + ac
Now, applying this to your expression:
3c² × -5c²:
Multiply 3c² by -5c².
Result: -15c⁴
3c² × d:
Multiply 3c² by d.
Result: 3c²d
2d × -5c²:
Multiply 2d by -5c².
Result: -10c²d
2d × d:
Multiply 2d by d.
Result: 2d²
Therefore, these are the partial products obtained when multiplying the given expressions.
-15c⁴
3c²d
-10c²d
2d²
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The above question is incomplete , the complete question is:
(3c² + 2d)(–5c² + d) Select all of the partial products for the multiplication problem above.
2d²
3cd³
-15c⁴
-10c²d
-15c²
3c²d
8.42 x 10^3, Between which of the following pairs of numbers does the above number lie? A. .0083 and .0084 B. .0084 and .0085 C. 8300 and 8400 D. 8400 and 8500
The number 8.42 x 10³ lies in between pairs of numbers 8400 and 8500.
Option D is correct.
What is PEDMAS?The abbreviation PEMDAS is used to indicate the sequence of steps to be taken when resolving expressions with multiple operations.
PEMDAS stands for P- Parentheses, E- Exponents, M- Multiplication, D- Division, A- Addition, and S- Subtraction.
We have the number 8.42 x 10³.
Now, expanding the exponents we get
= 8.42 x 10³
= 8.42 x 1000
= 84.2 x 100
= 842 x 10
= 8420
Thus, the values lie between 8400 and 8500.
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What is the measure of AE?
No explanation is needed, also, sorry if the picture is blurry!
Graph the function f(x)= square root over x. Which table of values contains points that lie on the graph of the function?
Answer:
see attached
Step-by-step explanation:
The square root of a negative number is undefined, so the applicable table is the one shown below.
Answer:
Table 3 represents the correct points that lie on the graph of the function.
Step-by-step explanation:
We are given the function:
[tex]f(x) = \sqrt{x}[/tex]
We have to plot the given function.
The attached image shows the graph for the given function.
Putting values for x in the function we get:
[tex]f(x) = \sqrt{x}\\f(-1) = \sqrt{-1}[/tex]
which is undefined.
[tex]f(0) = \sqrt{0} = 0\\f(1) = \sqrt{1} = 1[/tex]
Table 3 represents the correct points that lie on the graph of the function.
Ms. Jones is ordering pizzas for the school dance. To keep things simple, she plans on only ordering two types, cheese and pepperoni. Each cheese pizza costs $10 and each pepperoni pizza costs $13. The number of cheese pizzas should be more than twice the number of pepperoni pizzas. The school dance budget will allow for no more than $200 to pay for the pizzas. This situation can be modeled by the following system of inequalities.
You didn't add the system of inequalities. But when you are posting a question and you don't know how to type the question or the answer or if you don't feel like it. Hold down shift, ctrl (control), and the button that divides/spaces each tab out, amd you're screen if go dime so you can highlight a part of the screen so it will take a picture and you can post it.
___________________________
I posted the question and answer below.
!!Hope this helped!!
Please rate "excellent"
Step-by-step explanation:
Answer: In the picture below the correct answer is
D. The system represents the minimum amount that Ms. Jones can spend on cheese pizzas, x, and pepperoni pizzas, y, and the relationship between the number of cheese pizzas and pepperoni pizzas.
A small fishing boat's outboard motor requires a mixture of gasoline and oil for fuel. The mixture called for in the owner's manual is 1 gallon of oil for every 50 gallons of gas. If the boat's gas tank holds approximately 6 gallons of gas, approximately how much oil must be added to the gasoline?
3 ounces
9 ounces
15 ounces
24 ounces
20 POINTS!! EASY QUESTION! WILL MARK BRAINLIEST!! READ THE INFO! THEN FILL IN THE BLANKS!
The cost for a single class session for each dance class is below.
Clodagh’s Dance = $6.00
New Steps = $7.50
Stepping High = $6.50
The class hours are below.
Clodagh’s Dance = 3:00pm - 4:00pm
New Steps = 4:00pm - 5:30pm
Stepping High = 9:00am - 10:15am
How would these answers change if you were to write the unit rate in cost per hour?
Fill in the blanks!
Dance Classes | Total Hours for Each Payment | Cost Per Hour
| |
Clodagh’s Dance | $6.00 | $6.00
New Steps | $7.50 | _____
Stepping High | $6.50 | _____
Determine if the graph of r = 4cos 5θ is symmetric about the x-axis, the y-axis, or the origin.
Answer:
y-axisStep-by-step explanation:
The function graph is symmetric about
- the y-axis when it is an even function
- the origin when it is an odd function.
A symmetrical graph about the x-axis is not a function graph.
f(x) is an even if and only if f(-x) = f(x).
f(x) is an odd if and only if f(-x) = -f(x).
We have the function r(θ) = 4cos(5θ)
(olny symmetry about the y-axis or about the origin)
Check r(-θ):
r(-θ) = 4cos(5(-θ)) = 4cos(-5θ) = 4cos(5θ)
used cos(-x) = cos x
We have r(-θ) = r(θ). Therefore the graph of r(θ) is symmetric about the y-axis.
Answer:
x-axis
Step-by-step explanation:
if r%28theta%29+=+r%28-theta%29.
Since 4cos%285%2Atheta%29+=+4cos%28-5%2Atheta%29, the graph is symmetric wrt the x-axis.
The graph is symmetric wrt the y-axis if r%28theta%29+=+r%28pi-theta%29.
Since 4cos%285%2Atheta%29+%3C%3E+4cos%285%2A%28pi+-+theta%29%29+=+-4cos%285%2Atheta%29+, the graph is not symmetric wrt the y-axis.
The graph is symmetric wrt the y-axis if r%28theta%29+=+r%28pi%2Btheta%29.
Since 4cos%285%2Atheta%29+%3C%3E+4cos%285%2A%28pi+%2B+theta%29%29+=+-4cos%285%2Atheta%29+, the graph is not symmetric wrt the origin.
Which is the graph of f(x)= square root of x
How can you use factoring to solve quadratic equations in standard form?
In circle K, what is the value of x?
x = 30°
x = 25°
x = 20°
x = 15º
Answer:
The correct option is 4.
Step-by-step explanation:
Given information: K is the center of the circle. AB is the diameter of the circle.
Angle subtended by a diameter is always a right angle. It the means the measure of that angel is 90 degree.
[tex]\angle C=90^{\circ}[/tex]
According to the angle sum property, the sum of interior angles of a triangle is 180 degree.
Using angle sum property in triangle ABC, we get
[tex]\angle A+\angle B+\angle C=180^{\circ}[/tex]
[tex]75^{\circ}+x+90^{\circ}=180^{\circ}[/tex]
[tex]x=15^{\circ}[/tex]
Therefore the measure of x is 15 degree. Option 4 is correct.
The sum of two consecutive even integers is at most 400. Find the pair of integers with the greatest sum
The largest pair of consecutive integers are 198 and 200.
Explanation: hope it helpsIf the sum of two equal even numbers is 400, the numbers will be 200+200.
Therefore the largest possible consecutive even numbers which have a sum of 400 or less are 198 and 200 which have a sum of 398.
Any pair of consecutive numbers less than these will have a sum of less than 400.
In the xy-plane, if (-1, 0) is a solution to the system of inequalities y < x + c and y < -x - d, which of the following must be true about c and d? (10 POINTS + BRAINLIEST ANSWER!!)
A. c = d
B. c = -d
C. c < d
D. d < c
Final answer:
By substituting the point (-1, 0) into the inequalities, we find that c must be greater than 1, and d must be less than 1, which means the correct answer is D. d < c.
Explanation:
We are given a point (-1, 0) which is a solution to both inequalities y < x + c and y < -x - d. To find the relationship between c and d, let's plug in the x and y values of the point into each inequality.
For y < x + c, with x = -1 and y = 0, we get:
0 < -1 + c
c > 1. (1)
For y < -x - d, with x = -1 and y = 0, we get:
0 < 1 - d
d < 1. (2)
Comparing (1) and (2), we see that c must be greater than 1 and d must be less than 1. Thus, the correct answer is D. d < c.
what transformation changes the graph of y= x^3-x-6 into the graph of y=x^3-x?
How many ways can 6 basketball players be listed in order in a program?
Determine, for vectors u = i + 2j − k, v = −i + j + k, w = i + k (a) a unit vector in the direction u + 2v − 3w
Which graph shows a line that is perpendicular to line AB?
The shortest distance from a point to a straight line is
Evaluate the geometric series
You read that the median equals 12 on a test, what percentage of the participants had scores higher than 12
1 question need help thank you!!
Can you please help me with this that’ll you so much
EASY 5POINT MATH QUESTION PLEASE SOLVE
use the relationship between the angles in the figure to answer the question
which equation can be used by find the value of x?
drag and drop the equation into the box
Answer: x = 180 - (31 + 40)
Hope this helps!
~VERNEX
A duck has two legs. Write a conditional statement based on the given statement. A. An animal is a duck if it has two legs. B. If an animal has two legs, then it is a duck. C. If an animal is a duck, then it has two legs. D. If an animal is not a duck, then it does not have two legs.
Answer:
C
Step-by-step explanation:
For every pound a company spends on advertising, it spends £0.26 on its website. Express the amount spent on advertising to the amount spent on its website as a ratio in its simplest form.
Answer:
50:13
Step-by-step explanation:
PLEASE HELP ASAAAAPPPPPPP
Which of the points are solutions to the inequality?
y > 2x -4
Check all that apply.
(–2, –5)
(0, –4)
(1, 1)
(3, 5)
(5, 5)
the real answer is (1) (3) (4) on edgen.
The points that are solutions to the inequality below are (–2, –5), (1, 1) and (3, 5)
What is a solution set to an inequality or an equation?If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality. Set of such values is called solution set to the considered equation or inequality.
We need to replace the values of x and y of the point into the inequality, and if all conditions are respected, they are solutions.
Given inequality is
y > 2x -4
The points that are solutions given as follow:
1. (–2, –5)
y > 2x -4
-5 > -4 -4, True
2. (0, –4)
y > 2x -4
-4 > -4 False
3. (1, 1)
y > 2x -4
1 > -2 True
4. (3, 5)
y > 2x -4
5 > 2 True
5. (5, 5)
y > 2x -4
5 > 6 False
Hence, The points that are solutions to the inequality below are (–2, –5), (1, 1) and (3, 5)
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Which of these is equal to sin 21°?
A) cos 21°
B) cos 69°
C) sin 69°
D) tan 69°
Answer:
B. Cos 69°
Step-by-step explanation:
Given : sin 21°
Solution : To show how Cos 69 ° = Sin 21 °
we will use sine and cosine trigonometric identity
i.e. Cos (90 °-x) = Sin x ---(A)
We are given Sin 21 °
So, putting x =21 ° in (A)
We are getting : Cos(90 °-21 °) = Sin 21 °
⇒Cos 69 ° = Sin 21 °
Hence it is shown that Cos 69 ° = Sin 21 °