Write an equation ;
you have cable plan that costs $39 a month for a basic plan plus one movie channel . Your friend has the same basic plan plan plus two movies channels for $45.50 . What is the basic plan change that you both pay ?
Tell whether the sequence is arithmetic. If it is, what is the common difference?
A. -6,2,10,18, ...
B. 1,2,4,8, ...
write this 15 is 12 less than 2 times a number.
Round each number to the nearest hundredth. What is the best estimate for the sum of 12.547 + 83.919?
To date, Jay Ward has cumulative earnings of $107,600. This week he is paid $3,000. What is the total amount of Social Security tax for this week? Assume a rate of 6.2% on $110,100 for Social Security and 1.45% for Medicare. A. $186.00 B. $155.00 C. $57.66 D. $180.00
Answer:
Option B. $155
Step-by-step explanation:
Jay Ward has already been taxed on his earning on $107,600.
So on this paycheck only ($110,100 - $107,600) = $2,500 of his earnings are taxable for social security tax.
Social security tax rate = 6.2%
Hence, social security tax amount = 6.2% × 2500
= 0.062 × 2500
= $155
Option B. $155 is the answer.
The cost of producing x units of a product is C dollars, where C is given by the function C = 0.25x2 - 80x + 300. What is the cost if no units are produced?
A)
$0
B)
$100
C)
$200
D)
$300 ...?
Answer:
D) $ 300
Step-by-step explanation:
Here, the cost ( in dollars ) of x products is defined by the function,
[tex]C=0.25x^2-80x+300[/tex]
Since, if the no units are produced,
x = 0,
Hence, the cost would be,
[tex]C=0.25(0)^2-80\times 0+300[/tex]
[tex]=0-0+300[/tex]
[tex]=\$ 300[/tex]
Option D is correct.
The cost is $300 if no units are produced.
To find the cost when no units are produced, which are shown by x and we need to evaluate the cost function C at x = 0. The cost function is given by [tex]C = 0.25x^2 - 80x + 300.[/tex]
Let's substitute x = 0 into the function:
[tex]C(0) = 0.25(0)^2 - 80(0) + 300[/tex]
[tex]C(0) = 0 - 0 + 300[/tex]
[tex]C(0) = 300[/tex]
Therefore, the cost when no units are produced is $300.
This corresponds to the constant term in the cost function, which represents the fixed costs that are incurred regardless of the number of units produced.
What is the exact value that is 47% of 2302??
Tanya is raising money to go on a field trip. She is selling stickers for $1 and rubber bracelets for $3. The cost of the field trip is $36. Write an equation to show how many stickers and bracelets she must sell to raise the money for the field trip
What are the sine, cosine, and tangent of Θ = 3 pi over 4 radians?
sin Θ = square root 2 over 2; cos Θ = negative square root 2 over 2; tan Θ = -1
sin Θ = negative square root 2 over 2; cos Θ = square root 2 over 2; tan Θ = 1
sin Θ = square root 2 over 2; cos Θ = negative square root 2 over 2; tan Θ = 1
sin Θ = negative square root 2 over 2; cos Θ = square root 2 over 2; tan Θ = -1
Which statement is true about the result of a rigid transformation?
The image will be larger than the pre-image.
The pre-image will be larger than the image.
The pre-image will be congruent to the image.
Each one is unique; no general statement can be made about size.
Answer:
C The pre-image will be congruent to the image.
Step-by-step explanation:
A wooden beam 24 feet long leans against a wall and makes an angle of 71° with the ground. How high up the wall does the beam reach to the nearest foot?
The beam reaches approximately 23 feet up the wall.
Given that, a wooden beam is 24 feet in length and makes an angle of 71° with the ground.
We need to determine how high does it touches the wall,
To find the height up the wall reached by the wooden beam, we can use trigonometry.
Let's denote the height as "h".
In a right triangle formed by the wooden beam, the height "h" represents the opposite side, and the length of the beam (24 feet) represents the hypotenuse.
The angle between the ground and the beam is given as 71°.
We can use the sine function to solve for "h" since sine is defined as the ratio of the opposite side to the hypotenuse in a right triangle.
sin(71°) = h / 24
To find "h," we rearrange the equation:
h = sin(71°) × 24
Calculating this, we get:
h ≈ 0.9511 × 24 ≈ 22.8264
Rounding to the nearest foot, the beam reaches approximately 23 feet up the wall.
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43/14 as a decimal rounded to the nearest hundredth
Answer:
The decimal of the fraction rounded to the nearest hundredth is
[tex]\frac{43}{14}=3.07[/tex]
Step-by-step explanation:
Given : Expression [tex]\frac{43}{14}[/tex]
To find : What is the decimal of the fraction rounded to the nearest hundredth?
Solution :
Step 1 - Write the fraction
[tex]\frac{43}{14}[/tex]
Step 2 - Divide the numerator by denominator,
[tex]\frac{43}{14}=3.071[/tex]
Step 3 - Convert to the nearest hundredth,
[tex]3.071\approx 3.07[/tex]
Therefore, The decimal of the fraction rounded to the nearest hundredth is
[tex]\frac{43}{14}=3.07[/tex]
Which graph represents the solution set for the inequality 16 ≥ -3x + 4 > -17?
Solve sin2x + 2sinx = 0 for 0 ≤ x < 2π. ...?
It costs $15 for a yearly membership to a movie club at a movie theater. A movie ticket costs $5 for club members and $8 for nonmembers.
The total cost of a movie ticket for club members is $20 ($15 membership fee + $5 ticket price) and for non-members it is $8.
Explanation:To find the total cost of a movie ticket for club members and non-members, we need to consider the membership fee and the ticket price. Let's break it down:
For club members:
Membership fee: $15 per yearTicket price: $5For non-members:
Ticket price: $8To calculate the total cost for club members, we add the membership fee to the ticket price: $15 + $5 = $20.
To find the total cost for non-members, we simply use the ticket price: $8.
The system of equations representing the total cost for a club member (y) and a nonmember (y) after viewing x movies is given by:
y = 15 + 5x
y = 8x
Explanation:Let's break down the system of equations. For a club member, the total cost (y) is the sum of the membership fee ($15) and the product of the ticket price $5 and the number of movies viewed (x). This relationship is represented by the equation y = 15 + 5x.
On the other hand, for a nonmember, the total cost (y) is solely the product of the ticket price for nonmembers $8 and the number of movies viewed (x), as there is no membership fee. This is expressed by the equation y = 8x.
To find the number of movies (x) after which the total cost (y) for a club member equals the cost for a nonmember, we set the two equations equal to each other:
15 + 5x = 8x
Now, solving for x, we can determine the point at which the total cost for a club member is the same as the cost for a nonmember. This helps in understanding the break-even point where joining the movie club becomes financially advantageous, factoring in the membership fee and the reduced ticket price for club members.
The complete question of the above answer is:
Certainly, here is the complete question:
It costs $15 for a yearly membership to a movie club at a movie theater. A movie ticket costs $5 for club members and $8 for nonmembers.
a. Write a system of equations that you can use to find the number x of movies viewed after which the total cost y for a club member, including the membership fee, is the same as the cost for a nonmember.
What is the value of x in the equation 1/5x – 2/3y = 30, when y = 15?
Explain how using equivalent ratios is like adding fractions with unlike denominators?
Final answer:
Using equivalent ratios is like adding fractions with unlike denominators as it involves finding a common value to work with.
Explanation:
Using equivalent ratios is similar to adding fractions with unlike denominators because both involve finding a common value to work with. When adding fractions, we look for a common denominator so that we can add the numerators. With equivalent ratios, we find a common multiplier to scale the ratios, which allows us to compare or combine the quantities represented by the ratios.
Here's a step-by-step process:
Convert the given ratios to fractions by writing them as a fraction with the given quantities as the numerator and denominator.
Find a common denominator for the fractions. This involves identifying the least common multiple (LCM) of the denominators.
Multiply the numerators and denominators of the fractions by the appropriate multiples to get equivalent fractions with the same denominator.
Compare or combine the quantities represented by the equivalent fractions.
What is the volume of a cylinder with a radius of 1.5 inches and a height of 19 inches? use 3.14 for pi. round your answer to the nearest hundredth. 28.5 cubic inches 100.25 cubic inches 134.24 cubic inches 156.73 cubic inches
134.235 cube inches is the volume of a cylinder with a radius of 1.5 inches and a height of 19 inches.
What is volume?Volume is simply defined as the space occupied by any three-dimensional solid. These solids can be a cube, cuboid, cone, cylinder or sphere.The volume of a solid is measured in cubic units. For example, if the dimensions are given in meters, the volume is in cubic meters. It is a standard unit of volume in the International System of Units (SI). Similarly, other units of volume are cubic centimetres, cubic feet, cubic meters, etc.The formula to calculate the volume of a solid in three-dimensional space is to find the product of the dimensions. Basically, volume is equal to the product of the surface area and the height of the shape.Volume = base area x height
Radius of cylinder (r) = 1.5 inches
Height of cylinder (h) = 19 inches
Value of π = 3.14
To Find :
The volume of a cylinder.
Explanation :
Let, volume of a cylinder be "R".
We know that,
Volume of a cylinder = πr²h
[ Put the values ]
↪ R = 3.14 × (1.5)² × 19
↪ R = 3.14 × 2.25 × 19
↪ R = 7.065 × 19
↪ R = 134.235 cube inches
Therefore,
The volume of a cylinder is 134.235 cube inches.
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HELP! Which two-dimensional shape can be rotated about the y-axis to create a cone?
Answer:
Its a triangle
How can i find the factors of 12 and 15,explain?
The factors of 12 are 1, 2, 3, 4, 6, and 12, while the factors of 15 are 1, 3, 5, and 15.
To find the factors of 12 and 15, you need to identify the numbers that can evenly divide these two numbers without leaving a remainder. Here's how you can find the factors:
Factors of 12: 1, 2, 3, 4, 6, 12
Factors of 15: 1, 3, 5, 15.
What is 490% written as a decimal? 4.9 0.0049 49 490
Answer:
the answer is A
Step-by-step explanation:
How do i find the quotient of rational expressions???
A computer can sort x objects in t seconds, as modeled by the function below:
t=0.005x^2+0.002x
How long, in seconds, will it take the computer to sort 10 objects?
Round your answer to the nearest hundredth of a second. ...?
To determine the time it takes for the computer to sort 10 objects, substitute x with 10 in the given function, resulting in 0.52 seconds, rounded to the nearest hundredth.
The student's question involves determining how long it takes a computer to sort 10 objects, given the function t = 0.005x² + 0.002x, where x is the number of objects and t is the time in seconds. To find out the time it takes to sort 10 objects, we substitute x with 10 into the function.
So, we have:
t = 0.005(10)² + 0.002(10)
t = 0.005(100) + 0.002(10)
t = 0.50 + 0.02
t = 0.52 seconds
Therefore, it takes the computer approximately 0.52 seconds to sort 10 objects, when the result is rounded to the nearest hundredth of a second.
Solve by factoring.
g^2+4g-32=0
Answer: The solution is g = 4, -8.
Step-by-step explanation: We are given to solve the following algebraic equation.
[tex]g^2+4g-32=0.[/tex]
Since the above algebraic equation is quadratic, so it will have two solutions.
The solution by the method of factorization is as follows:
[tex]g^2+4g-32=0\\\\\Rightarrow g^2+8g-4g-32=0\\\\\Rightarrow g(g+8)-4(g+8)=0\\\\\Rightarrow (g-4)(g+8)=0\\\\\Rightarrow g-4=0,~~~g+8=0\\\\\Rightarrow g=4, -8.[/tex]
Thus, the required solution is g = 4, -8.
Simplify √240
a.) 2√60
b.)10√24
c.)6√40
d.)4√15
Answer: the correct answer is D.
Step-by-step explanation:
air is being pumped into a spherical balloon at a rate of 100 cm^3/sec. How fast is the diameter increasing when the radius is 5 cm?
The diameter is increasing at a rate of approximately 100 / 300π cm/s when the radius is 5 cm.
Explanation:To find the rate at which the diameter is increasing, we need to differentiate the formula for the volume of a sphere with respect to time:
V = (4/3)πr^3
Where V is the volume and r is the radius.
Let's differentiate V with respect to t:
dV/dt = (4/3)π(3r^2)(dr/dt)
We know dV/dt = 100 cm^3/s and r = 5 cm, so plug in these values:
100 = (4/3)π(3(5^2))(dr/dt)
Simplifying the equation gives us:
dr/dt = 100 / (4π(3(5^2)))
dr/dt ≈ 100 / 300π
So, the diameter is increasing at a rate of approximately 100 / 300π cm/s when the radius is 5 cm.
Use compensation to find product for 195x5
height of a table tennis net: 6 in. height of a tennis net: 3ft
how do you Write 432,000 in scientific notation
...?
4.32*10^5
To write scientific number must be greater than one but less than 10
find an expression for the width of a rectangle who's length is represented by x-2 and whos's width is represented by 2x^3-8x^2+2x+12
The expression for the width of a rectangle when the width is given by the algebraic expression 2x3 - 8x2 + 2x + 12.is already stated in its complete form.
Explanation:The student is asking about finding an expression for the width of a rectangle with given algebraic expressions for length and width. Since the student has provided the expressions for both length and width, we do not need to perform any calculations or manipulations to answer the question directly. The length of the rectangle is given as x-2, and the width of the rectangle is given by the expression 2x3 - 8x2 + 2x + 12. There are no further instructions to simplify or modify, so the expression for the width as provided is complete.