7y³ is the relationship between the volume of a sphere with a radius that equals to y and the volume of a sphere with a radius equal to 2y.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.
Volume of a sphere is 4/3πr³
the volume of a sphere with a radius that equals to y and the volume of a sphere with a radius equal to 2y
4/3πy³=4/3π(2y)³
4/3πy³=4/3π×8y³
y³=8y³
=(1-8)y³
7y³
Hence, 7y³ is the relationship between the volume of a sphere with a radius that equals to y and the volume of a sphere with a radius equal to 2y.
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What is the domain and range
Domain and Range. The domain of a function is the set of values that we are allowed to plug into our function.
What is the Domain and Range?Range and 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 make up this set (x). 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.
Important values that aid in defining a relation include domain and range. The collection of input values is the domain. These values are graphed on the axis of a coordinate graph and are represented by the independent variable. The collection of output values for a function is known as the range.
An further method to determine the domain and scope of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.
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PACE is a parallelogram and m PAC=112 find m EPA
Answer:
m∠EPA = 68°
Step-by-step explanation:
Angle EPA is adjacent to angle PAC in parallelogram PACE.
As adjacent angles in a parallelogram sum to 180°:
⇒ m∠PAC + m∠EPA = 180°
⇒ 112° + m∠EPA = 180°
⇒ 112° + m∠EPA - 112° = 180° - 112°
⇒ m∠EPA = 68°
Therefore, the measure of angle EPA is 68°.
If f(x) =x/4 -3 and g(x) = 4ײ +2x−4, find (f+g)(x).
(f+g)(x)=4x2+94x−7Explanation:(f+g)(x)=f(x)+g(x)Substitute f(x)=x4−3:(f+g)(x)=x4−3+g(x)Substutitute g(x)=4x2+2x−4:(f+g)(x)=x4−3+4x2+2x−4Combine like terms:(f+g)(x)=4x2+94x−7
How do you find the derivative of log base 3?
Are the polygons similar? If they are, pick the correct similarity statement. Thank you!
The ratios of the segments of both the polygons are not same hence the polygons are not similar. Option 4 is the correct answer.
What are polygons?In a two-dimensional plane, a polygon is a closed object formed of line segments rather than curves. Polygon is a word that combines the words poly (which meaning numerous) and gon (means sides).
To create a closed figure, a minimum of three line segments must be connected end to end. As a result, a polygon with at least three sides is known as a triangle and is also known as a 3-gon. An n-gon is a polygon with n sides.
Given that the two polygons which are parallelogram with the opposite sides 2.5 and 1.5, and 9 and 4.8.
For the polygons to be similar, ratios of both the polygons must be equal.
2.5 / 1.5 = 1.66
9 / 4.8 = 1.875
The ratios of the segments of both the polygons are not same hence the polygons are not similar. Option 4 is the correct answer.
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Please help
-6 (x + 7) = -30
X=?
Answer:
x = -2
Step-by-step explanation:
-6 ( x+ 7) = -30
-6x - 42 = -30
-6x = 12
x = -2
I hope this helps
leyanna has a bag of 9 marbles there are 5 red marbles and 4 yellow marbles if leyanna choose one marble at random, what are the chances that it is yellow
If Leyanna choose one marble at random, the chances that it is yellow is 4/9 that is 0.44.
Total number of marbles in bag are 9
There are 5 red marbles and 4 yellow marbles
Total number of marbles = 5 + 4 = 9.
Therefore total number of cases is 9
Since there are 4 yellow marbles, the number of favorable outcomes is 4.
So P ( a yellow marble) =Number of favorable cases/ Total number of cases
= 4/9
So probability of choosing a yellow marble is 4/9.
The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
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............................Solve
[tex]\boxed{\bf -27=-14+x}[/tex]
[tex] - 27 = - 14 + x \\ - x = - 14 + 27 \\ - x = 13 \\ x = - 13[/tex]
Answer:
[tex] \sf \: x = - 13[/tex]
Step-by-step explanation:
Given equation,
→ -27 = -14 + x
Now the value of x will be,
→ -27 = -14 + x
→ -14 + x = -27
→ x = -27 + 14
→ [ x = -13 ]
Hence, the value of x is -13.
A seagull is perched in a tree 62 feet above sea level. Directly below the seagull, an egret is flying 24 feet above sea level. Directly below the birds, a clown fish is swimming at 17 feet below sea level.
Select all TRUE statements.
A. The distance between the heights of the egret and the clown fish is 41 feet.
B. The difference in height between the egret and the clown fish is 41 feet.
C. The difference in height between the egret and the clown fish is -41 feet.
D. The difference in height between the egret and the seagull is -38 feet.
E. The difference in height between the egret and the seagull is 38 feet.
F. The distance in height between the egret and the seagull is -38 feet.
PLEASE ANSWER ONLY IF YOU KNOW ANSWERS. WILL VOTE BRAINLIEST IF ANSWERS ARE CORRECT. 15 POINTS.
Answer:
A. The distance between the heights of the egret and the clown fish is 41 feet.
B. The difference in height between the egret and the clown fish is 41 feet.
D. The difference in height between the egret and the seagull is -38 feet.
E. The difference in height between the egret and the seagull is 38 feet.
are TRUE statement.
Help needed
And would really be needed
Answer:
I don't know ♀️
Step-by-step explanation:
I really need help on this
Answer:
287 boxes
Step-by-step explanation:
Alan starts with $25 and wants to know how many bags of popcorn he must see, at $3,74 each, to accumulated at least the $1100 he needs for a deposit on a trip. The attched woksheet illustrates the steps Alan takes to determine he needs 287 boxes to make the deposit. More would be good, but 287 is a fine target.
Kadia chose the HMO family plan. Her employer will pay 40% of the cost of her
premium. True or False: The amount that Kadia will have to pay each year is
$2,124.
False. The statement only gives information about the employer's contribution towards the cost of Kadia's premium and does not state the total cost of the premium or the amount that Kadia will have to pay.
What is health care?The out-of-pocket expenses you incur when using services, in addition to the monthly premium for a plan, significantly affect your overall health care costs.
The following are included in your plan's total annual expenses:
You must pay your insurance provider a monthly payment over a 12-month period in order to be covered for medical expenses.
Your out-of-pocket expense for medically necessary services before your insurance provider begins to compensate you (except free preventive services)
deductibles and coinsurance: Expenses you pay to your healthcare provider each time you receive treatment, such as $20 for a doctor's visit or 30% of a hospital stay.
Maximum you must pay out-of-pocket each year for services that are covered. Once you've reached this sum, the insurance provider will cover all of your expenses.
The Complete Question.
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In a right-angled triangle, the difference between two of the angles is 20°.
a ) Work out the size of the angles in the triangle.
b )How many solutions are there to part a? Explain why. C) For each solution to part a, write the ratio of the angles from smallest to biggest in its simplest form
On solving the provided question, we can say that since it is a right angle x + (x-20) + 90 = 180 => x = 35
what are angles?In Euclidean geometry, an angle is a shape made up of two rays, referred to as the angle's sides, that meet at a point in the middle known as the angle's vertex. Two rays can generate an angle that is in the plane where the rays are located. The meeting of two planes also creates an angle. They are referred to as dihedral angles. An angle is the shape created by two rays or lines that have a shared termination in plane geometry. The Latin word "angulus," which meaning "horn," is the source of the English term "angle." The vertex is the common terminal of the two rays, which are referred to as the sides of the angle.
difference between two of the angles is 20°.
since it is a right angle
x + (x-20) + 90 = 180
2x = 70
x = 35
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Zoe spotted a total of 39 parrots in an aviary at the San Diego Zoo. She counted 18 macaws and 21 cockatoos. What fraction of macaws did Zoe spot at the aviary?
Answer:
Step-by-step explanation:
There are a total of 39 birds. Of those birds, 18 are macaws and 21 are cockatoos (18 + 21 = 39).
We need to find an answer as a fraction that shows the fraction of macaws out of the total of 39 birds.
18 macaws /39 parrots
This fraction can be reduced, so we need to find a number that will divide into both 18 and 39. The number 3 will divided into both 18 and 39.
18 ÷ 3 = 6
39 ÷ 3 = 13
The fraction can be reduced to 6/13. This is the most we can reduce this fraction because 13 is a prime number.
There are 6 macaws for every 13 parrots.
what is the absolute value notation that describes all the numbers x that are a distance of 5 units from the number 9?
Values 4 and 14 will be described as x that are the distance of 5 units from the number 9.
Given that x is a set of numbers such that the distance from x to 9 is 5 units.
so, distance of x, positive or negative, from 9 can be expressed as |x - 9|
since the distance is equal to 5 units therefore the equation can be written using absolute value notation:
|x - 9| = 5
(x - 9) = 5 -> x = 14
or -(x -9) = 5 -> x = 4
Hence, set x = {4,14}
Therefore, set x is {4,14}.
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A pharmacist divides 364 pills into prescription bottles. Each bottle contains 28 pills. How many bottles does the pharmacist fill?
Answer:13
Step-by-step explanation:
You have to use 364 and 28 to answer.
364 divided by 28 equals to 13
the water content of soil from an excavation site is normally distributed with a mean of 14.2% and a standard deviation of 2.3%. what is the probability that a sample taken from the site will have water content above 12% and below 16%?
The probability that a sample taken from the site will have water content above 12% and below 16% is 0.6102.
To calculate the probability that a sample taken from the excavation site will have water content above 12% and below 16%, we need to find the proportion of the normal distribution that falls between those two values.
First, we need to standardize the values by subtracting the mean and dividing by the standard deviation.
The value of 12% will be standardized as (12-14.2)/2.3 = -0.9565 and,
the value of 16% will be standardized as (16-14.2)/2.3 = 0.7826.
Using a standard normal table, we can find the probability that a standard normal variable is less than -0.9565 and 0.7826
The probability that Z < -0.9565 is approximately 0.1687
The probability that Z < 0.7826 is approximately 0.7789
Therefore, the probability that a sample taken from the excavation site will have water content above 12% and below 16% is:
P(12 < X < 16) = P(Z < 0.7826) - P(Z < -0.9565) = 0.7789 - 0.1687 = 0.6102 or 61.02%
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How do you solve algebraic expressions Grade 9?
One can solve basic algebraic expressions by following these steps.
Students typically learn to solve basic algebraic expressions by following these steps:
Identify the variable and the coefficient (number in front of the variable) in the expression.
Use the order of operations (PEMDAS) to simplify any arithmetic within the expression.
Use the distributive property to combine like terms.
Isolate the variable on one side of the equation by using inverse operations (such as adding or subtracting the same value from both sides, or dividing or multiplying both sides by the same non-zero value).
Substitute in a value for the variable to find the numerical value of the expression.
It's good to practice with a lot of examples and check the solutions and ask for help if needed.
Example:
Solve for x: 3x + 2 = 12
variable is x, coefficient is 3
nothing to simplify
nothing to combine
subtract 2 from both sides: 3x = 10
divide both sides by 3: x = 10/3 or 3.3333
x = 3.3333
It's important to note that solving algebraic expressions can become more complex as the student progresses, but the basic steps remain the same.
Thus, One can solve basic algebraic expressions by following these steps.
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(3-8y)x(-25) equivalent expression
Answer:
-75 + 200y
Step-by-step explanation:
(3-8y) x (-25)
We use distribution to solve
-75 + 200y
Can 2 acute and 1 right angle form a triangle?
A triangle with one right angle and two acute angles is called a right-angled triangle.
A right angle is one that is 90 degrees in length. It is the most frequently encountered angle in our daily lives. It can be noticed in room corners, box edges, mobile phone screens, and so on.
A square's and a rectangle's sides always make a right angle with each other. It is represented in radians as /2.
The angle formed by two lines that are perpendicular to each other is called a right angle. A right angle is equal to 90° and is in the shape of the letter "L". In the following figure, ray AB and BC form a right angle ABC.
Thus, a triangle with one right angle and two acute angles is called a right-angled triangle.
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Solve.
The table shows how much money a concession stand
earns selling hamburgers. The graph shows how much
money the stand earns selling hot dogs. Find and
compare the rates of change for these two functions.
Hamburger Sales
Number of
Hamburgers Sold
1
2
3
4
Amount
Earned (5)
16
24
32
Amount Earned (5)
Hot Dog Sales
Company A: c-8h+ 10, where c- total cost
(in dollars) and h= number of hours
Company B: $15 per hour
12345 789
Number of Hot Dogs Sold
3 Two companies charge differently for canoe rentals,
as shown below. What is the rate of change for each
function? What is the cost to rent a canoe for 4 hours
from each company?
The graph shows a function. Write an equation with
the same initial value and a rate of change that is less
than the rate of change of the function shown in
the graph.
Y
S
7
Answer: iI dunno but its 56778888b a
Step-by-step explanation:
How do you find the domain and range without a graph?
To find the domain and range of a function without a graph is to use algebraic methods.
What is domain in function ?
The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0. We can also define special functions whose domains are more limited.
One way to find the domain and range of a function without a graph is to use algebraic methods. For example, if the function is defined by an equation, you can solve for the variables to determine the domain and range. You can also use inequalities or interval notation to express the domain and range.
Another way to find the domain and range is to examine the function's definition and identify any restrictions on the input or output values. For example, if a function is defined in terms of a square root, the input values must be non-negative to avoid a complex output.
To find the domain and range of a function without a graph is to use algebraic methods.
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This triangle has one side that lies on an extended line segment.
Based on this triangle, what statement about x is true?
Responses
x = 33 because 180−147=33
x, = 33 because , 180 minus 147 equals 33
x = 62 because 147−85=62 and 85 + 62 = 147
x, = 62 because , 147 minus 85 equals 62, and 85 + 62 = 147
x = 95 because 180−85=95 and 85 + 95 = 180
x, = 95 because , 180 minus 85 equals 95, and 85 + 95 = 180
x = 118 because 180 − 147 + 85 = 33 + 85 = 118
In a triangle one side that lies on an extended line segment, statement about x is true, x = 62 because 147−85=62 and 85 + 62 = 147. So Option B is correct
What is a triangle?In mathematics, the triangle is a type of polygon which has three sides and three vertices. the sum of all the interior angles of the triangle is 180°
Given that,
A triangle, which has one interior angle 85° and one exterior angle 147°
Another exterior angle x = ?
It is already known that,
Sum of complementary angles are 180
So,
⇒ Y + 147 = 180
⇒ Y = 180 - 147
⇒ Y = 33
sum of all the interior angles of the triangle is 180°
X + Y + 85 = 180
X = 180 - 85 - 33
X = 62
Hence, the value of x is 62
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Which symbol is used to symbolize represent function?
Answer:
The function symbol f(x)
Step-by-step explanation:
How do you calculate range and range?
The range is calculated when we subtract the lowest value from the highest value.
Range is defined as a difference between the lowest and highest values. In {4, 6, 9, 3, 7} the lowest value is 3, and the highest is 9, so the range is 9 − 3 = 6.
Range can also refer to a function's entire set of output values.
When a function is applied to its entire set of outputs, its range is the set of outputs it produces.
The full set of all potential values that can be obtained for the dependent variable is the range of a function.
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Name: Date: Period: Score: First attempt due: Practice Worksheet: Properties of Exponents Final corrections due: Simplify each expression completely using properties of exponents. Answers should have positive exponents only and all numbers evaluated, for example 5 3 = 125. Each set of problems will use the property listed above as well as a combination of properties attempted in previous sets. NEGATIVE EXPONENT AND ZERO EXPONENT PROPERTIES 1. ???? −7 = 2. (21c 18) −1 = 3. (3???? 2 ) 0 = 4. 5(x 0 )y −1 = PRODUCT OF POWERS PROPERTY 5. ???? 7???? 12 = 6. c 3 c 8 c −5 = 7. (2???? 7 )(−4???? 9???? 5 ) = 8. (9x 10y 3 )(−x 5y 3 ) = QUOTIENT OF POWERS PROPERTY 9. ???? 12 ????7 = 10. 6c 3 3c−5 = 11. 2???? 7 −4????9????5 = 12. 9x 10y 3 −x 5y3 = POWER OF A POWER PROPERTY 13. (???? 3 ) 4 = 14. (c −1 ) 3 = 15. (???? 5 ) −2 = 16. (6x 3y)(x 2 ) −2 = POWER OF A PRODUCT PROPERTY 17. (8???? 5 ) 2 = 18. (2c −1 ) −3 = 19. (−2???? 10) −2 = 20. (4x 2y 3 ) −2 (−x 10) 2 = POWER OF A QUOTIENT PROPERTY 21. ( ???? 2 ) 4 = 22. ( 25c −1 5 ) 2 = 23. ( −2???? 11???? 5 4????−2???? 2 ) 2 = 24. ( (−2x) 2 3xy2 ) 3 = MORE PRACTICE WITH MIXED PROPERTIES 25. ( ???? 2 ) 4 (8???? 5 ) 2 ????−1????10 = 26. ( 16c 6c −2 (2c 2) 3 ) −1 = 27. −2???? ????5 ( ???????? 5 −2???? 10) 2 = 28. ( (4x 2y 3) 0 −3x−1y2 ) 3 = BONUS QUESTIONS 29. ( 9 20 ???? 5 ) (2???? −2 ) ( 4 3 ???? 9 ) 30. 8(–m0???? 2) 3 (−???? 3) 2 m6????0(−2m−2????4) 3
The four basic properties of exponents are the negative exponent property, the product of powers property, the quotient of powers property, and the power of a power property.
The properties of exponents are a set of rules that allow us to simplify terms that contain exponents.
Negative exponent property states that when a negative exponent is present, the base and the exponent are switched and the sign of the exponent is changed. For example, x-2 = 1/x2.
The product of powers property states that when two terms with the same base are multiplied, the exponents are added together. For example, x3 x4 = x7.
The quotient of powers property states that when two terms with the same base are divided, the exponents are subtracted. For example, x6/x2 = x4.
The power of a power property states that when a term with an exponent is raised to another power, the exponents are multiplied. For example, (x3)2 = x6.
These properties can be used to simplify expressions that contain exponents. For example, the expression (−2m−2????4) 3 can be simplified using the power of a power property by multiplying the exponents. The expression simplifies to −2m−6????12.
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the specification or description of the relationship between the dependent and independent variables is generally called
The specification or description of the relationship between the dependent and independent variables is generally called a function
A function describes the mapping from input variables to output variable.
The input variable is called independent variables, while the output is called dependent variable as its value depends on the values of the inputs.
Example:
y = f(x) = 2x + 1
In this function:
x = input = independent variable
y = output = dependent variable
An output can also be a function of several variables. For example, the cost of renting a car is a function of the number of renting days and the distance it travels. Hence, the cost is dependent variable, whereas the number of days and distance are the independent variables.
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Olivia started the school year with 14 pencils, and now has 28 pencils. She says, “This is a 200% increase because I have twice as many pencils as I started with!” Is she correct or incorrect? Why?
Answer: Olivia is incorrect.
Step-by-step explanation:
Since Olivia had twice as much, a 200% increase means x + 2x, which is basically 3x. She actually has a 100% increase, because she has 2x as much, not 2x more. If she actually had 200% more, she would have 42 pencils instead.
f(x)=x-2
g(x)=x-3
Find (fog)(-10)
Answer:
-15
Step-by-step explanation:
Set up the composite function and simplify
In a rectangle , the diagonal amount with the base is 72.
The diagonal is 2 cm bigger than the base.
Find the perimeter and S of the rectangle.
The rectangle in the example has a 173.70 cm perimeter.
What is Perimeter?The perimeter of a form is the space surrounding its edge. you can find the perimeter of various forms by summing the lengths of their sides.
Given, In a rectangle, the diagonal amount with the base is 72. The diagonal is 2 cm bigger than the base.
Since the Diagonal is 72 cm
and also given base = diagonal - 2
Base = 70
Because Diagonal ² = base² + height²
height² = 72² - 70²
Height² = 284
Height = 16.85
Thus the perimeter = 2*(base + height)
Perimeter of rectangle = 2 * (70 + 16.85)
the perimeter of the rectangle = 173.70
Therefore, the perimeter of the given Rectangle is 173.70 cm.
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