Answer:
49π cm²
Step-by-step explanation:
The area (A) of a circle is calculated as
A = πr² ( r is the radius )
Here diameter = 14, so r = 14 ÷ 2 = 7, then
A = π × 7² = 49π cm²
Answer:
49pi cm^2
Step-by-step explanation:
\(a = \pi \: {r}^{2} \)
Because the radius is half of the diameter, divide it by 2 to get the radius to place in the formula which is 14 ÷2 = 7
so
A = pi × 7^2
A= pi × 49cm^2
Under her cell phone plan, Nayeli pays a flat cost of $41.50 per month and $5 per gigabyte. She wants to keep her bill under $50 per month. Write and solve an inequality which can be used to determine g, the number of gigabytes Nayeli can use while staying within her budget.
The inequality which can be used to determine the number of gigabytes is 41.5 + 5x < 50 and the solution is x < 1.7
How to write and solve an equation which can be used to determine the number of gigabytes?The given parameters are
Flat cost = $41.50
Rate = $5 per gigabyte
Budget = Under $50
The equation is represented as:
Total cost = Flat cost + Rate * Number of gigabyte
So, we have
y = 41.5 + 5x
The budget is under 50
So, we have
41.5 + 5x < 50
Subtract 41.5 from both sides
5x < 8.5
Divide by 5
x < 1.7
Hence. the inequality which can be used to determine the number of gigabytes is 41.5 + 5x < 50 and the solution is x < 1.7
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Sonya wants to buy new sneakers that cost $125.50. She has $35.50 saved and plans to save $9 each week. Write and solve an equation to find out how many weeks it will take her to save the money.
jenelle draws one card from a standard deck of 52 cards. determine the probability of drawing either a queen or a king? write your answer as a reduced fraction. answer
Answer:
18/7
Step-by-step explanation:
check this might work as I simply
the circle passes through the point ( 7 , 6 ) (7,6)(, 7, comma, 6, ). what is its radius?
We cannot determine the center or radius of the circle based on the given information.
How to find the radius of the circle passing through the point (7, 6)?To find the radius of the circle passing through the point (7, 6), we need to determine the center of the circle.
Let's assume that the center of the circle is (a, b). Since the circle passes through point (7, 6), we can set up an equation using the distance formula between the center (a, b) and point (7, 6) as follows:
√((7 - a)² + (6 - b)²) = r
where r is the radius of the circle.
We can see that this equation represents the distance between the center of the circle and the point (7, 6) is equal to the radius of the circle.
We also know that the distance between the center of the circle and any point on the circle is equal to the radius. Therefore, if we can find the distance between (a, b) and another point on the circle, we can solve for the radius.
However, we do not have any other information about the circle, such as another point or the equation of the circle. Therefore, we cannot determine the center or radius of the circle based on the given information.
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Question 2 Find the work done if a force of F=11 - 15j Newtons moves an object from point A(0, 3) to the point B(5, -6). Do not include units.
The work done by the force in moving the object from point A to point B is 56.
To find the work done by a force in moving an object from one point to another, we need to calculate the dot product of the force and the displacement vector between the two points.
The displacement vector between points A(0, 3) and B(5, -6) is:
d = <5-0, -6-3> = <5,-9>
We can normalize this vector to get a unit vector in its direction:
u = d/|d| = <5/√106, -9/√106>
The work done W by the force F in moving the object along this path is:
W = F · d
W = (11)(5) + (-15)(-9)
W = 56
Therefore, the work done by the force in moving the object from point A to point B is 56.
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Assign two digits to the right of 2014 so that the resulting six-digit number is divided by 101. What are the two digits? I need the answer ASAP.
Answer:
201495
Step-by-step explanation:
You can reverse this by multiplying 101 by 1995 which will give you that.
not good at explaining, am sorry.
HELP I NEED THIS FOR MY HOMEWORK
Write each function in standard form.
5. y= 5(x - 2)(x + 1)
6. y=2(x + 6)(x + 3)
7. y=-2(x + 4)(x - 5)
8. y=-4(x + 2)(x + 3)
Answer:
5.y=5x-10+5x+1
y=10x-9
6.y=2x+12+2x+6
y=4x+18
7.y=-2x-8-2x+10
y=-4x+2
8.y=-4x-8-4x-12
y=-8x-20
What values of b satisfy 3(26 + 3)² = 36?
The numeric value of the b is 0.23 which satisfy the given equation.
According to the statement
We have to find that the value of the b.
So, For this purpose, we know that the
The numeric value refers to the worth of each digit depending on where it lies in the number.
From the given information:
The equation is a
3(2b + 3)² = 36
then to find the value of b rearrange the terms then
(2b + 3)² = 12
(2b + 3) = \sqrt{12}
(2b) = \sqrt{12} -3
then
b = \sqrt{12} -3/ 2
b = 3.46 - 3/2
b = 0.46/2
b = 0.23.
So, The numeric value of the b is 0.23 which satisfy the given equation.
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please help! also you need to get a mic number for the end will give brainliest
in mix number, the answer will be
\(8 \frac{7}{9} \)
if you need in decimal form than the answer in going to be
\(8.777778\)
Answer:
8\(\frac{7}{9}\)
Not sure what you mean by "also you need to get a mic number for the end"
Given the definitions of f(x) and g(x) below, find the value of g(f(5)).
f(x) = 2x – 10
g(x) = x^2 + 6x – 8
I don’t need work I am just looking for the answer !
gf(x) = g(x^-1) = x^2 + 6x - 8
f(x) = 2x - 10
gf(x) = 6 ( 2x - 10) - 8
gf(x) = 12x- 60 - 8
gf(x) = 12x -68
gf(5) = gf(x) = 12x - 68
gf(5) = 12(5) - 68
gf(5) = 60 - 68
gf(5) = -8
PLEASE HELPP!! I will give THANKS!! And 5 STARS!
The rectangular plate shown weighs 60 lb and is supported by three vertical wires. Determine the tension in each wire. 1 ft B 2 ft 4 ft
To determine the tension in each of the three vertical wires supporting the rectangular plate, we can apply the principle of equilibrium. By considering the forces acting on the plate, we can calculate the tension in each wire.
Since the plate is in equilibrium, the sum of the vertical forces acting on it must be zero. The weight of the plate is acting downward with a magnitude of 60 lb. The tension in each wire can be considered as a vertical force acting upward.
Let's label the wires as A, B, and C, from left to right. Considering the forces acting on the plate, we have the following equation:
Tension in wire A - Tension in wire B - Tension in wire C = 60 lb.
To find the tension in each wire, we need additional information. For example, if the plate is symmetric, we can assume that the tension in wire B is equal to the tension in wire C. In that case, we can rewrite the equation as:
Tension in wire A - 2 * Tension in wire B = 60 lb.
Since there are no additional details or measurements provided about the plate or the wires, we cannot determine the specific values of the tensions in each wire without further information. The solution would depend on the specific configuration and characteristics of the plate and the wires.
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Solve for y:
5x + 2y =P
Answer:
5x + 2y = p
5x - 5x + 2y= p - 5x
2y = p+ 5x
we divide both sides by 2
2y/2 = p + 5x/2
y = p + 5x/2
Step-by-step explanation:
hope that will help you
Answer:
y= 1/2p + −5/2x
Step-by-step explanation:
5x + 2y + −5x = p + −5x
2y = p −5x
2y/2 = p -5x/2
y= 1/2p + −5/2x
Line segment PQ is the result of reflecting line segment AB across the x-axis.P has coordinates of (2,-2) and Q has coordinates (8,-2). What’s is the length of line segment AB.
The length of the line segment AB such that PQ is the reflection of AB will be 6 units.
What is a line segment?A line section that can connect two places is referred to as a segment.
A line segment is just part of a big line that is straight and going unlimited in both directions.
If we reflect any curve about the x-axis then only the y coordinate changes its sign (x,y) → (x,-y).
Given PQ is a reflection of AB and P(2,-2) and Q (8,-2)
Therefore, A(2,2) and B(8,2).
The length of AB will be,
AB = √(8 - 2)² + (2-2)² = 6
Hence "The length of the line segment AB such that PQ is the reflection of AB will be 6 units".
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Roger is saving money from the
money he make doing chores for the
neighbors. He has 3 dollars already
Band saves 1 dollar a day. Elizabeth is
doing the same but she has 4 dollars
already and is saving 50 cents a day.
After how many days will they have
saved the same amount?
Based on the amount both have and the amount being saved per day, they will both have the same amount after 2 days.
Roger has $3 and is saving $1 per day. An equation to express the amount he would have after a n number of days is:
= Amount he already has + Amount saved per day x number of days
= 3 + 1n
For Elizabeth, this expression would be:
= 4 + 0.50n
Solve for n by equating both formulas:
3 + n = 4 + 0.5n
n - 0.5n = 4 - 3
0.5n = 1
n = 1/0.5
n = 2 days
In conclusion, they will have the same amount after 2 days.
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Describe a strategy for finding the difference of two temperatures/Answer in complete sentences.
Hello this is my question if you answer correctly you will receive 30 points plus branliest please be mindful and help me solve this question ASP
Answer:
Use google scooby it's easier than this way.
Step-by-step explanation:
the demand curve for hummus has a constant slope of -2. what can you say about the price elasticity of demand for hummus with this information?
Based on the given information that the demand curve for hummus has a constant slope of -2, we can say that the price elasticity of demand for hummus is relatively elastic. This means that a small change in price will result in a relatively larger change in the quantity demanded of hummus.
In other words, consumers are sensitive to changes in the price of hummus and are likely to reduce their consumption if the price increases, and vice versa.
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The price elasticity of demand for hummus cannot be determined solely from the information provided, as it depends on both the slope and the price-quantity relationship.
The price elasticity of demand (Ed) is a measure of how responsive the quantity demanded of a good is to a change in its price. It is calculated using the formula:
Ed = (% change in quantity demanded) / (% change in price)
Since the demand curve for hummus has a constant slope of -2, this tells us that for every unit increase in price, the quantity demanded decreases by 2 units. However, to calculate the price elasticity of demand, we also need information about the price and quantity levels.
The slope of the demand curve alone does not provide enough information to determine the price elasticity of demand. The elasticity varies along the curve, being more elastic at high prices and low quantities, and less elastic at low prices and high quantities.
While the slope of the demand curve for hummus is -2, this information alone is not sufficient to determine the price elasticity of demand. Additional information about the price and quantity levels is needed to calculate the elasticity accurately.
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Question 2 of 40
The recursive formula for an arithmetic sequence is:
fa,-5
a = 8+2
What is the 3rd term in the sequence?
A. 1
B. -7
C. -1
D. -10
The 3rd term in the sequence is 10. The correct answer is Option D. -10
The recursive formula for an arithmetic sequence is used to find the terms in a sequence by using a starting term and a common difference.
In the given problem, the starting term (also called the first term) is 8 and the common difference is 2.
To find the 3rd term in the sequence, we can use the formula:
aₙ = aₙ₋₁ + d
where aₙ is the nth term, aₙ₋₁ is the previous term, and d is the common difference.
Let's plug in the values we have:
a₃ = a₂ + 2
To find a₂, we need to find a₁ first.
Using the formula, we can find a₁:
a₁ = a₀ + 2
= 8 + 2
= 10
Now, we can find a₂:
a₂ = a₁ + 2
= 10 + 2
= 12
Finally, we can find a₃:
a₃ = a₂ + 2
= 12 - 2
= 10
Therefore, the 3rd term in the sequence is 14.
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Gold chain with an original price of $120 is on sale for $96 what is the percent of the discount
Answer:
20% off
Step-by-step explanation:
96/120 = 80% price still, so 20% off.
What would be the opportunity cost of spending $90,000 on advertising but only producing 12,000 units? Potential sales (before advertising) of 12,000 units, Price of $16, Fixed costs of $48,000, Variable costs $8, Advertising $90,000 Assume advertising multiplier is (30,000+ advertising)/30,000
$76,800
$576,000
$192,000
−$191,936
$768,000
The opportunity cost of spending $90,000 on advertising but only producing 12,000 units can be calculated by comparing the benefits of the advertising investment to the potential alternative uses of that money.
First, let's calculate the total cost of producing 12,000 units. Fixed costs amount to $48,000, and variable costs are $8 per unit, resulting in a total cost of $48,000 + ($8 × 12,000) = $144,000.
Next, we need to calculate the potential sales revenue without advertising. With a price of $16 per unit, the potential sales revenue would be $16 × 12,000 = $192,000.
Now, let's calculate the potential sales revenue after advertising. The advertising multiplier is given as (30,000 + advertising) / 30,000. In this case, the multiplier would be (30,000 + 90,000) / 30,000 = 4.
Therefore, the potential sales revenue after advertising would be $192,000 × 4 = $768,000.
The opportunity cost is the difference between the potential sales revenue after advertising ($768,000) and the potential sales revenue without advertising ($192,000), which is $768,000 - $192,000 = $576,000.
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I need Help ASAP thanks if you do help me out!
Which is true about the function shown below between the points = 4 and x = 6?
Answer:
c. non-linear and increasing
Step-by-step explanation:
How do you find theoretical probability?
(If you don’t mind, please add in some random numbers to help explain ;^; )
Step-by-step explanation:
Theoretical Probability DefinitionTheoretical probability is the theory behind probability. To find the probability of an event using theoretical probability, it is not required to conduct an experiment. Instead of that, we should know about the situation to find the probability of an event occurring. The theoretical probability is defined as the ratio of the number of favourable outcomes to the number of possible outcomes.
Find the probability of rolling a 5 on a fair dieSolution:
To find the probability of getting 5 while rolling a die, an experiment is not needed. We know that there are 6 possible outcomes when rolling a die. They are 1, 2, 3, 4, 5, 6.Therefore, the probability is,Probability of Event P(E) = No. of. Favourable outcomes/ No. of. Possible outcomes.P(E) = 1/6.Hence, the probability of getting 5 while rolling a fair die is 1/6.
I hope it helps
What is the value of x in the figure below? As necessary round answer to the nearest hundredth.
Answer:
90 I think coz its a right angle
Find the value of x
a. 7.5
b. 6
c. 10
d. 8
The value of the missing part of the triangle given above would be = 7.5. That is option A.
How to calculate the missing value of the given triangle?To calculate the missing length of the similar triangle, the formula listed below should be used.
That is;
a/a+b = c/c+d
where a = 8
b = 10
c = 6
d = ?
That is;
8/8+10 = 6/6+d
make d the subject of formula;
8(d+6) = 6(18)
8d +48 = 108
8d = 108-48
8d = 60
d = 60/8
d = 7.5
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2540 centimeters are equal to how many inches ?
Answer:1000
Step-by-step explanation
There are 1000 inches equal to 2540 centimeters
Unit conversion can be defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.
To convert centimeters to inches, we have to use the conversion factor 1 inch = 2.54 cm.
To determine how many inches are in 2540 cm, first we divide 2540 by 2.54:
2540 cm ÷ 2.54 = 1000 inches
Therefore, we can conclude that 2540 centimeters are equal to 1000 inches.
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the house was in the shape of an __________ , eight separate bedrooms on each side
The house was in the shape of an octagon, with eight separate bedrooms on each side.
The house described in the statement has an octagonal shape. An octagon is a polygon with eight sides, characterized by its eight equal angles. In this case, each side of the house corresponds to one of these angles, resulting in eight separate bedrooms on each side of the octagonal structure.
The choice of an octagon as the shape of the house can have various implications. Octagonal buildings are often admired for their unique architectural design and aesthetic appeal. The shape provides symmetry and balance, allowing for an interesting and visually pleasing structure. Additionally, an octagonal layout can offer practical advantages in terms of space utilization and room distribution. In the case of the house described, each side of the octagon accommodates a separate bedroom, providing privacy and ample living space for its occupants. The symmetrical arrangement of the bedrooms around the central area of the house could create a harmonious and well-organized living environment. Overall, the octagonal shape of the house with eight separate bedrooms on each side offers both architectural and functional benefits.
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a manufacturer has 200m^2 of sheet metal.what are the sizes of the cylindric tank that produce the maximum volume?
Therefore, the dimensions of the cylindrical tank that can be made from 200 m² of sheet metal and which will give the maximum volume are approximately 5.77 m for the radius and 9.34 m for the height.
What is volume?Volume is a measure of the amount of space occupied by an object or substance. It is a physical quantity that describes the three-dimensional size of an object or region, and is typically measured in units such as cubic meters (m³), cubic centimeters (cm³), or liters (L). The volume of a solid object, such as a cube, cylinder, or sphere, can be calculated using mathematical formulas that take into account the dimensions of the object. The concept of volume is important in many areas of science and engineering, including physics, chemistry, and materials science. For example, the volume of a container is an important factor in determining the amount of material that can be stored in it, while the volume of a gas is a key factor in understanding its behavior under different conditions of temperature and pressure.
Here,
To find the dimensions of the cylindrical tank that can be made from 200 m² of sheet metal and which will give the maximum volume, we can use the following steps:
Let's assume that the cylinder has a height h and a radius r. The total surface area of the cylinder, including both the top and bottom circles and the curved surface, is given by:
A = 2πrh + 2πr²
We are given that the total surface area is 200 m², so we can write:
2πrh + 2πr² = 200
Simplifying this equation, we can express h in terms of r:
h = (200 - 2πr²) / (2πr)
The volume of the cylinder is given by:
V = πr²h
Substituting the expression for h that we obtained above, we get:
V = πr²[(200 - 2πr²) / (2πr)]
Simplifying this expression, we get:
V = 100πr - πr³
To find the value of r that gives the maximum volume, we can take the derivative of V with respect to r, set it equal to zero, and solve for r:
dV/dr = 100π - 3πr² = 0
Solving for r, we get:
r = √(100/3) = 5.77 m (rounded to two decimal places)
To find the corresponding value of h, we can substitute r = 5.77 into the expression we obtained for h:
h = (200 - 2πr²) / (2πr) ≈ 9.34 m (rounded to two decimal places)
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If the interest earned on an account after 2 years is 15$ how much would it be after 10 years? why?
The amount of interest earned in 10 years is $75.
What is interest?Interest is the sum over and above the original amount (the amount borrowed) that is paid to a lender or depositor by a borrower or deposit-taking financial institution at a set rate. It is not the same as a fee that the borrower might pay to the lender or another entity.It also differs from a dividend, which is money given to shareholders (owners) by a company from its profit or reserve but not at a set rate predetermined in advance, but rather on a pro-rata basis as a share of the reward received by risk-taking business people when revenue is earned that exceeds all costs.So, interest earned after 2 years = $15
interest earned in 1 year = 15/2 = $7.5 interest earned in 10 years = 10 × $7.5= $ 75Therefore, the amount of interest earned in 10 years is $75.
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Rectangle A measures 9 inches by 3 inches. Rectangle B is a scaled copy of Rectangle A.
Select all of the measurement pairs that could be the dimensions of Rectangle B.
4.5 inches by 1.5 inches
8 inches by 2 inches
10 inches by 4 inches
13.5 inches by 4.5 inches
90 inches by 30 inches
Answer:32
Step-by-step explanation:
Janine's family is designing a new garage. Use A l w to determine the area of the garage if the length l is 24 feet and the width w is 22 feet. Find the area A of the garage in square feet.
Given :
Length of garage, l = 24 feet.
Width of garage, w = 22 feet.
To Find :
Area of garage in square feet.
Solution :
We know, area of a rectangular shape is given by :
Area = l × w
Area = 24 × 22 feet²
Area = 528 feet²
Therefore, area of garage is 528 feet².
Hence, this is the required solution.