Standard printer paper has a thickness of 0.1mm. write an equation for a function that should approximately the thickness of a sheet of paper after nn folds. f(n)=f(n)=
What is 4h-3 expression factored
Rick is setting up a model train track that is 5 and 3 over 5feet long. No telephone pole is needed at the start of the track. However, along the track, he places a telephone pole every 4 over 5foot apart. How many telephone poles does he need? (Input number values only)
Answer:
1/2
Step-by-step explanation: man i needa level up... its not right i just need points lol
Real world equation that can be modeled by the equation y=1/20x
Convert the following: 22km = ________m A. 0.022 B. 2.2 C. 22 D. 22,000
1km = 1000 m
22*1000 = 22,000
Answer is D. 22,000
One of the factors of p^5 - 144p^3 is
A. P^3
B. P + 12
C. P - 12
D. All of the above
A problem states: " there are 3 more baseballs than bats in a dugout. There are 15 bats and baseballs in the dugout in all. How many bats are in the dugout?" Let b represent the number of bats. Which expression represents the situation?
Answer:
The required equation is 2b+3=15.
Number of bats = 6
Number of baseballs = 9
Step-by-step explanation:
Let b be the number of bats.
It is given that there are 3 more baseballs than bats in a dugout.
Number of baseballs = b + 3
Number of bats and baseballs in the dugout in all is
[tex]Total=b+(b+3)[/tex]
[tex]Total=(b+b)+3[/tex]
[tex]Total=2b+3[/tex]
There are 15 bats and baseballs in the dugout in all.
[tex]2b+3=15[/tex]
The required equation is 2b+3=15.
Subtract 3 from both sides.
[tex]2b=15-3[/tex]
[tex]2b=12[/tex]
Divide both sides by 2.
[tex]b=6[/tex]
The value of b is 6. So, the number of bats is 6 and number of baseballs is 6+3=9.
If a person wanted to purchase their dream car, and keep it for many years, should they lease or buy? Why? (Site 1)
Buying an asset or a vehicle means paying off the entire sum of money that is the cost of the asset at the time of its purchase.
Leasing an asset means purchasing an asset by not paying the entire sum of money at the time of purchasing, rather paying in the form of rent over the period of time.
If a person wants to purchase his dream car for keeping for many years, then Buying Option is better because the payment of the overall cost in buying will be less than leasing.
This will also provide benefit that at the time of sale the owner will be paid off higher value of car as compared to car taken on lease.
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If a person wants to purchase their dream car and keep it for many years, it is generally recommended to buy rather than lease. Buying a car provides long-term ownership, customization options, and potential resale value, while leasing offers lower monthly payments but no ownership.
Explanation:If a person wants to purchase their dream car and keep it for many years, it is generally recommended to buy rather than lease. Here are the reasons why:
Ownership: When you buy a car, you become the owner and have the freedom to modify or personalize the vehicle as you wish. Leasing, on the other hand, only provides temporary possession of the car.Long-term cost: Buying a car may have higher upfront costs, such as a down payment and monthly loan payments, but in the long run, you will own the vehicle. Leasing involves lower monthly payments, but you will not own the car at the end of the lease term.Resale value: Owning a car allows you to build equity over time. You can sell the car later and recoup some of the cost. Leasing does not provide this opportunity.In conclusion, buying a car is a better option if you want long-term ownership and the ability to customize the vehicle. Leasing may be suitable for those who prefer lower monthly payments and don't want to commit to long-term ownership.
Find an equation of the set of all points equidistant from the points a(−1, 6, 3) and b(4, 3, −2).
Help plz someone give me an answer
James ran at a rate of 11.5 km per hour. What was james' speed in miles per hour? (NOT TO BE SOLVED. Needs to be an equation)
1km = 0.621371 miles
so equation is
total miles per hour = 11.5km * 0.621371
Joan works on commission
Ysidra paints a room that has 400 square feet of wall space in 2 and a half hours. at this rate, how long will it take her to paint a room that has 720 square feet of wall space?
The time taken to paint a room which has a wall space of 720 feet² is equal to [tex]4\frac{1}{2}[/tex] hours.
What is the unitary method ?
The unitary method is a method in which you find the value of one unit and then the value of required no. of units.
It is given that room is painted that has wall space of 400 feet². The time taken to paint this space is 2 and half hours.
So , the wall space painted per hour will be :
= 400 ÷ [tex]2\frac{1}{2}[/tex]
= 400 ÷ [tex]\frac{5}{2}[/tex]
= 400 × [tex]\frac{2}{5}[/tex]
= 160 square feet per hour
We have to find out the time taken to paint a room which has a wall space of 720 feet². So , this will be calculated by dividing 720 square feet wall space by the per hour painted wall space that is equal to:
= 720 / 160
= 4.5 hours
or
= [tex]4\frac{1}{2}[/tex] hours
Therefore , the time taken to paint a room which has a wall space of 720 feet² is equal to [tex]4\frac{1}{2}[/tex] hours.
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Which answer gives the number and type of solutions to the equation x2+14x+49=0 ?
The quadratic equation[tex]x^2 + 14x + 49 = 0[/tex]factors into [tex](x + 7)^2 = 0[/tex], yielding one real repeated solution, x = -7. This means the graph of the quadratic function touches the x-axis at precisely one point.
The given equation [tex]x^2 + 14x + 49 = 0[/tex] is a quadratic equation and can be factored or solved using the quadratic formula.
However, this particular equation is a perfect square trinomial because the constant term 49 is the square of 7 and twice the product of 7 and the linear coefficient 14 is equal to the middle term 14x.
[tex]x^2+2*7*x+7^2=0[/tex]
Therefore, the equation can be factored as
(x + 7)^2 = 0.
To find the solution, we set the factor equal to zero:
(x + 7) = 0
(x + 7) = 0
This equation has one unique solution, x = -7, which means the quadratic equation has one real repeated solution.
In the context of the number and type of solutions, it means the graph of the quadratic function touches the x-axis at one point (x = -7) and does not cross it.
12 cot2(x) = 4 find all values of x in the interval [0, 2π] that satisfy the equation
Final answer:
To solve 12 cot2(x) = 4, we simplify and use properties of the tangent function. The solution is x = π/3, 2π/3, 4π/3, and 5π/3 within the interval [0, 2π].
Explanation:
To solve the trigonometric equation 12 cot2(x) = 4, we first simplify it to find cot2(x) = 1/3 by dividing both sides by 12. To find cot(x), we take the square root of both sides, giving us cot(x) = ±1/√3. Remember that cot(x) is the reciprocal of tan(x), so we now have tan(x) = ±√3.
To find the values of x that satisfy this equation within the interval [0, 2π], we look at the unit circle. The tangent function is positive in the first and third quadrants and negative in the second and fourth quadrants. Therefore, for tan(x) = √3, x = π/3, 4π/3, and for tan(x) = -√3, x = 2π/3, 5π/3. These are the values of x in the given interval that satisfy the equation.
Next school year, 2 out of every 7 students plan te take an elective computer course. if there are 2464 students at the high school, how many computer students should the school plan for?
The perimeter of a rectangular garden is 290 feet. If the length of the garden is 84 feet, what is its width?
If NO = 17 and NP = 5x -6, find the value of X. Then find NP and NO.
Which figures are congruent? Will Give Brainliest Answer
A. B ≅D and A ≅C
B. B ≅D
C. B ≅D and E ≅F
D. B ≅D and E ≅F and A ≅C
The equation of a circle is x^2 + y^2 + Cx + Dy + E = 0. If the radius of the circle is decreased without changing the coordinates of the center point, how are coefficients C, D, and E affected?
A) C, D, and E are unchanged.
B) C increases, but D and E are unchanged.
C) C and D decrease, but E is unchanged.
D) C, D, and E increase.
E) C and D are unchanged, but E decreases.
x and y are the center point so since C and D are multiplied by x an y they would remain the same
E = the center points squared plus the radius squared.
Since the radius is getting smaller E would also decrease
Answer is E
The perimeter of a rectangle is 50 centimeters. the length of the rectangle is one more than 3 times the width of the rectangle. what are the dimensions of the rectangle
The width of the rectangle is 6 centimeters and the length is 19 centimeters.
Explanation:To find the dimensions of the rectangle, we can assign variables to the length and width of the rectangle. Let's say the width is 'w' centimeters.
According to the information given, the length is '1 + 3w' centimeters. The perimeter of a rectangle is the sum of all its sides, so we can set up the equation: 2(length + width) = 50. Substituting the given expressions for length and width, we have: 2((1 + 3w) + w) = 50. Simplifying this equation, we get: 8w + 2 = 50. Solving for 'w', we find that the width of the rectangle is 6 centimeters. Substituting this value back into the expression for the length, we get: length = 1 + 3(6) = 19 centimeters.Therefore, the dimensions of the rectangle are width = 6 centimeters and length = 19 centimeters.
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What is the scientific notation for 12,400,000?
(-4,7),(6,-1) what is the answer
If angleA and angleB are vertical angles, and angleA = 38°, find the measure of angleB. A. B = 7° B. B = 57° C. B = 38° D. B = 142°
Answer:
C. B = 38°
Step-by-step explanation:
A vertical angle is created when two lines intersect, and are a pair of two non adjacent angles that are opposite from the origin, so both angles are going to measure the same.
Since both vertical angles are the same, both measure 38º.
Vertical angles are shown in the image:In this case the angle A would be the omega, and the B is the alfa.
Change the line 3x − 8y = 5 into slope-intercept form.
how many hours of training would you need to have a monthly pay of $2620
2620 /4 = 655 per week
suppose you work 40 hours per week
655/40 = $16.38 per hour
that is a good pay, but training all depends on the actual job.
some jobs don't require any training, some require 3 months or more.
it also depends on your education
True or False
The sum of two trinomials is ALWAYS a trinomial
Answer:
True.
Step-by-step explanation:
If the two trinomials are given as
x³ + 2x² + 4 = 0
and
2x³ + x² - 3 = 0
Then by adding these trinomials we get
(x³ + 2x² + 4) + (2x³ + x² - 3) = 0
3x³ + 3x² + 1 = 0
Which proves that sum of two trinomials is ALWAYS a trinomial.
So the answer is True.
Andrea wants to deposit money into a bank account that earns 4.5% simple interest. Use the formula l=Prt to find the ammount of money that she should deposit so that she earns $2800 after 4.5 years. Show and explain your work.
What conjecture can you make about the twentieth term in the pattern A, B, A, C, A, B, A, C?
Answer:
c
Step-by-step explanation:
ABACABACABACABACABAC
The pattern A, B, A, C repeats every four terms. Dividing the term number (20) by the length of the repeating sequence (4) yields 5 with no remainder, indicating the twentieth term will be the same as the fourth term - which is 'C'.
Explanation:The given pattern A, B, A, C, A, B, A, C is a repeating sequence that occurs in sets of four (A, B, A, C). To ascertain the twentieth term in this pattern, divide the term number by the length of the repeating sequence. That would be 20 divided by 4, which equals 5 with no remainder. That suggests the twentieth term will be the same as the fourth term in the sequence, which is C.
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The bakers healthy bakery can make 160 bagels in 5 hours. a.how many can they make in 1 hour? B.How many can they make in 12 hours?