t = 3.750 and t = 0.070 are, the following x- values, between A) 0 and 1 and D) 3 and 4
What is quadratic equation?
A quadratic equation is a second-order polynomial equation in one variable (x) using the formula ax² + bx + c = 0 and a≠0. The fundamental theorem of algebra ensures that it has at least one solution because it is a second-order polynomial problem. Real or complex solutions are also possible.
According to question.
y = -16t² + 56t+ 4
⇒ -16t² + 56t + 4
⇒ -4t² + 14t + 1
⇒ t = [-14 ±√((14)² - 4*(-4)*1)]/-8
⇒ t = [-14 ±√(212)]/-8
⇒ t = [-14 ± 14.560]/-8
⇒ t = [-14 ± 14.560]/-8
⇒ t = -(28.56)/-8 and t = 0.560/-8
⇒ t = 3.750 and t = 0.070
hence, t = 3.750 and t = 0.070 are, the following x- values, between A) 0 and 1 and D) 3 and 4
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Does 2x-4=x+1+x have exactly one solution
A number truncated to 1 d.p. gives 5.3.
If that number originally had 2 decimal places, write down what that
number could have been.
5.??
Hence, the 2 decimal places a possible value of the number is 5.25, 5.26, 5.27, 5.28, 5.29, 5.31, 5.32, 5.33, 5.34
What are upper and lower bounds?
The maximum and smallest values that a number may have before it was rounded are known as upper and lower limits. They are also known as accuracy limits. Error intervals can be utilised to write the upper and lower bounds.
Given, A number truncated to 1 d.p. gives 5.3
And, the number originally had 2 decimal places
Then, the number could have been
5.25, 5.26, 5.27, 5.28, 5.29, 5.31, 5.32, 5.33, 5.34
These are the possible value of the number.
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For a particular quadratic function, the leading coefficient is negative and the function has a turning point whose coordinates are (-3,14). Which of the following must be the range of this?
Answer:
y≤-3
Step-by-step explanation:
the parabola is negative and the maximum is -3.
15. Find the perimeter of the triangle.
2х + 1
3x
X
Answer:
6x + 1
Step-by-step explanation:
When you are finding the perimeter of any shape, you will combine the measurements of each side together. Note any variables when combining. They must have the same amount of the same variables to be combined:
[tex]P = (2x + 1) + (3x) + (x)\\P = (2x + 3x + x) + 1[/tex]
Combine like terms. Add 3x, 2x and x together:
[tex]P = (2x + 3x + x) + 1\\P = (6x) + 1\\[/tex]
The perimeter of the triangle is 6x + 1.
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Translate the following statement into an algebraic expression:
Use x for your variable.
The sum of the square of a number and fifteen times the number.
Answer:
x^2+15x
Step-by-step explanation:
when doing word problems like these, keywords are "sum" and "square" and "times". They help discern the expression.
hope this helps!!! :3
The 7th grade Science classes are raising money for charity. Their goal is $750.00
class has raised 50% of the total needed to meet the goal of $750.00.
class has raised one-third of the amount of their goal of $750.00
.How much more money is needed to reach their goal of $750.00?
Jen Butler has been pricing Speed-Pass train fares for a group trip to New York. Three adults and four children must
pay $129. Two adults and three children must pay $92. Find the price of the adult's ticket and the price of a child's
ticket. Find the price of the child and adult ticket
Answer:
Adult:19
Child:18
Step-by-step explanation:
Adults: x
Children:y
Equation 1: 3x+4y=129
Equation: 2x+3y=92
Let's now graph our equations on the desmos graphing calculator!!!
Look for the points that meet each other on the graph which is (19,18)
So $19 for an adult and $18 for children
What is the 3n^2 first 4 terms and the 10th term?
Answer:
a1=3 ;a2=12 ;a3=27 ;a4=48 ;a10=300
Step-by-step explanation:
an=3n^2
a1=3(1)^2
a1=3
a2=3(2)^2
a2=12
a3=3(3)^2
a3=27
a4=3(4)^2
a4=48
a10=3(10)^2
a10=300
please help me on this ASAP!
Answer:
Ellie 69%
Kevin 78%
Therefore Kevin has the redder paint
round 163 to nearest 10
Answer:
160
Step-by-step explanation:
163
if the number was 5 and over, it'd be 170. But since the number is less than 5, the answer is 160.
A triangle has vertices at (1, 4), (7, 4), and (7,-2). Select all the points which will lie on the median through the point (7,4).
All the points that will lie on the median through the point (7,4) are given as follows:
(4,1).(5,2).(2,-1).How to obtain the median of the triangle?The median that passes through the point (7,4) is a linear function that also passes through the midpoint of the vertices (1,4) and (7,-2).
The midpoint of two points is given by the mean of it's coordinates, hence the midpoint of the vertices (1,4) and (7,-2) is calculated as follows:
x = (1 + 7)/2 = 4.y = (4 - 2)/2 = 1.Then the two points on the line are given as follows:
(4,1) and (7,4).
Given two points, the slope is calculated as the division of the change in y by the change in x, hence:
m = (4 - 1)/(7 - 4)
m = 1.
Hence:
y = x + b
When x = 4, y = 1, hence the intercept b is obtained as follows:
1 = 4 + b
b = -3.
Then the function is given as follows:
y = x - 3.
And the points that lie on the median are all the points for which the x-coordinate is 3 less than the y-coordinate.
Missing InformationThe complete problem is given by the image shown at the end of the answer.
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A car is traveling at a rate of 48miles per hour. What is the car's rate in miles per minute? How many miles will the car travel in 15 minutes?
Answer:
12 miles in 15 minutes
Step-by-step explanation:
To find the car's rate in miles per minute, we can divide the rate in miles per hour by the number of minutes per hour. There are 60 minutes in an hour, so the car's rate in miles per minute is 48 miles per hour / 60 minutes per hour = 0.8 miles per minute.
To find the number of miles the car will travel in 15 minutes, we can multiply the rate in miles per minute by the number of minutes. The car will travel 0.8 miles per minute * 15 minutes = 12 miles in 15 minutes.
Gavin observed 22 flowers on each block of his neighborhood. Each block has an equal number of flowers. Is this sample of the flowers in the neighborhood likely to be biased?
Yes, this sample of the flowers in the neighborhood is likely to be biased. This is because the number of flowers observed on each block is relatively small and may not be representative of the entire neighborhood.
What is neighborhood?A neighborhood is a local geographic area typically containing a cluster of families and individuals who live nearby and interact with each other. It is usually a residential area, although some neighborhoods may be mixed-use, containing both residential and commercial buildings. Neighborhoods are typically identified by geographical boundaries such as a street, a park, or a body of water. People living in a given neighborhood often share certain characteristics including socio-economic status, culture, ethnicity, and even language. Neighborhoods play an important role in the lives of individuals and families, providing a sense of belonging, safety, and identity.
Additionally, if there is any external factor that influences the number of flowers on certain blocks (such as the amount of sunlight or water) then the sample may be skewed.
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3. Suppoe that the demand equation for a monopolit i p-100-0. 02x and the cot function i Co)-20x10000 (a)Find the value of x that maximize the profit, and determine the correponding price and total profit for thi level of production (6)Suppoe that the government ha impoed an excie tax of $5 per unit. Find the value of that maximize the profit, und determine the correponding price and total profit for thi level of production
The value of that maximize the profit, und determine the corresponding price and total profit for the level of production is $52,500
Given,
Suppose that the demand equation for a monopolist is p=100−.02x and the cost function is C(x)=20x+10,000. Find the value of x that maximizes the profit and determine the corresponding price and total profit for this level of production.
Here we need to find the value of that maximize the profit.
As per the Monopolist maximizes profit by setting marginal costs (MC) equal to marginal revenue (MR).
Here the Marginal revenue is the first partial derivative of Total revenue (TR) function.
And the total revenue is the quantity (X) times price (P):
TR = P⋅X
=> (100−0.01X) X
=> 100X−0.02X
Then we get get marginal cost, take the partial derivative of the cost function with respect to x:
=> MC=∂c(X)/∂X:50
=> MR=MC/100−0.02X=50/100−50
=> 0.02X
=> 2500units
Then the price of X, plug in the value of x in the inverse demand function and solve for price:
=> P=100−0.01(2500)=$75
And the profit is the difference between Total revenue and Total costs:
=> ∏=TR−TC/TR = P⋅X
=> $75 × 2500 = $187,500
Finally, the total costs, plug in the value of x in the total cost function:
=> TC = 50(2500)+10,000
=> $135,000
=> ∏ = $187,500−$135,000
=> $52,500
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A taxi ride costs $3 plus $2.50 per mile, m. Write and graph an equation that represents the total cost, c, (in dollars) of a taxi ride.
Answer:
$5.50
Step-by-step explanation:
Add 3.00 plus 2.50.Which is 5.50.
Solve the system below by the method of your choice. Show all work.
−4x+4y=−8
4x−6y=16
Answer:
(- 2, - 4 )
Step-by-step explanation:
- 4x + 4y = - 8 → (1)
4x - 6y = 16 → (2)
adding (1) and (2) term by term will eliminate x
0 - 2y = 8
- 2y = 8 ( divide both sides by - 2 )
y = - 4
substitute y = - 4 into either of the 2 equations and solve for x
substituting into (2)
4x - 6(- 4) = 16
4x + 24 = 16 ( subtract 24 from both sides )
4x = - 8 ( divide both sides by 4 )
x = - 2
solution is (- 2, - 4 )
A, B and C are Collinear and B lies between A & C. Determine all that are true:
AB=2, AC=2x + 4, and BC = x + 6.
Find x.
OBC=10
AC=12
Segment Addition Postulate
AC-14
x=4
OBC=11
O Angle Addition Postulate
Ox=5
The required statment that is true is AC = 12 and BC = 10. Option A is correct.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
A, B and C are Collinear and B lies between A & C.
AC = AB + BC
2x + 4 = 2 + x + 6
2x + 4 = x + 8
x = 4
Now,
AC = 8 + 4 = 12
BC = 4 + 6 = 10
Thus, the required statment that is true is AC = 12 and BC = 10. Option A is correct.
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Explain how a number line is used to determine the sum of -3 + 7
Explanation about number line is discussed below:
What is number line?Number lines are horizontal straight lines used in mathematics when integers are spaced at equal intervals. A number line may be used to visualise all the numbers in a succession. Both endpoints of this line continue forever.
Number lines aid in the development of a mental arithmetic approach for addition and subtraction. Research has proved the significance of number lines in fostering sound mental number sense and arithmetic techniques. No one disputes the significance of number lines.
Firstly, start from -3 on the number line.
Then, since we are adding 7, we would add 7 spaces to the right.
That should lead us to our answer; 4.
Another way is: 7 + (-3) or 7-3.
They all equal 4.
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A student has a $50 bill, a $10 bill, a $5 bill, and a $1 bill.
a. If the student must select at least one bill, and the student may select up to all of the bills how many different sub somebody could the student make?
The student can select 1 bill or more than one bill. The student could make 15 different sum of money.
What is permutation?
An arrangement of items in a specific order is referred to as a permutation. Here, the components of sets are arranged in a linear or sequential order.
Given that a student has a $50 bill, a $10 bill, a $5 bill, and a $1 bill.
He must select at least one bill.
To find the number of ways where the order does not matter is nCr.
The number of bills is 4.
Case 1:
Assume that he select 1 bill.
The number of ways to select one bill is ₄C₁ = 4!/1!(4-1)! = 4
Case 2:
Assume that he select 2 bill.
The number of ways to select two bill is ₄C₂ = 4!/2!(4-2)! =6
Case 3:
Assume that he select 3 bill.
The number of ways to select two bill is ₄C₃ = 4!/3!(4-3)! =4
Case 4:
Assume that he select 4 bill.
The number of ways to select two bill is ₄C₄ = 4!/4!(4-4)! =1
The total number of ways is 4 + 6 + 4 + 1 = 15
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Simplify: 5m + 3b - 9m - 4w Responses 14m + 7b 14m + 7b 14m + 3b - 4w 14m + 3b - 4w -4m + 3b - 4w -4m + 3b - 4w 21
Answer:
3b-4w-4m
Step-by-step explanation:
3b-4w+5m-9m
3b-4w-4m
Answer:
-4m+3b-4w
Step-by-step explanation:
5m+3b-9m-4w
we combine like terms but in this case only the m are like terms
5m-9m+3b-4w
-4m+3b-4w
i cant really see the options but it looks like it is the second to last or c option
hopes this helps please mark brainliest
2x - 5y = 23 and -4x + 5y = -11 solve by elimination
Answer: x= -1 y= -5
Step-by-step explanation: Multiply by 2 to eliminate the x
4x - 10y = 46
-4x + 5y = -11
-5y = 35
y= -5
Put -5 back in the equation for the letter y, and you will get x = -1
This weekend, Jerome earned 252.50 in all. What was the dollar amount of the meals that Jerome served?
Jerome served $
worth of meals this weekend.
Using algebra, we conclude that the dollar amount of meals Jerome served this weekend is $1150.
Given: The total amount Jerome earned this weekend is $252.50.
He earned every weekend = $80.
He earned 15% of the cost of meals as tips by serving them.
To find: The cost of meals served by Jerome in this weekend.
The total amount, $252.50, is the sum of the tips amount Jerome earned from serving meals and sum of the amount Jerome earned every weekend. To solve this, we must first translate the conditions of the problem, into an algebraic expression with a variable referring to the unknown quantity. This expression is then converted to an equation to find the value of the unknown quantity.
Let x be the cost of meals that Jerome served this weekend.
The equation for the problem statement becomes
[tex]\$80 + \frac{15}{100} x = \$252.50\\\\[/tex]
Keeping only the x term on the left side of the equation and constant terms on the right side we get
[tex]\frac{15}{100} x = \$252.50 - \$80\\\\\frac{15}{100} x = \$172.50\\\\\\[/tex]
Multiply both the sides of the equation by 100
[tex]\frac{15}{100} x \times 100 = \$172.50 \times 100\\\\15x = \$17250[/tex]
Divide both sides of the equation by 15
[tex]\frac{15x}{15} = \frac{\$17250}{15}\\\\x = \$1150[/tex]
What is algebra?Algebra is a field of mathematics in which letters are substituted for numbers, and an algebraic equation depicts a scale in which what is done on one side of the scale is likewise done on the other side of the scale, with the numbers acting as constants.
What is an equation?An equation is a mathematical statement that two expressions are equal. If it is an algebraic equation, two algebraic expressions has to have the same value on either side of the equal sign.
What is an algebraic expression?A meaningful collection of numbers, variables, and signs (positive or negative) of operations that must make mathematical and logical sense is referred to as an algebraic expression.
Expressions contain any number of algebraic terms. They use signs of operation like addition, subtraction, multiplication, and division and also do not contain an equality sign (=).
Using algebra, we conclude that the dollar amount of meals Jerome served this weekend is $1150.
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When you flip a biaed coin the probability of getting a tail i 0. 52. Find the probability of getting a head
The probability of getting a head given that probability of getting a tail is 0. 52 is 0.48.
Probability of getting at least one head is equal to the probability of all events (100 percent, or 1) less the likelihood of receiving all tails .
Therefore the probability of getting a head is ( 1 - 0.52)
= 0.48
A random event's occurrence is the subject of this area of mathematics. The range of the probability is 0 to 1.
The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a specific event will occur.
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{(-2, 9), (0, -4), (3, 12), (1, 1))
A. Function
B. Not a Function
Answer:
B Not a Function. They are Coordinates
An open cylindrical tank of radius14 m and height 3m is made of sheet metal.
(i) How much sheet of metal is required
(ii) How many litres of water can this tank hold?
(iii) What would be the cost of whitewashing this tank at the rate of ₹ 105. 5 per 2?
(i) 263.9 meters sheet of metal is required.
(ii) 1847.25 liters of water can this tank hold.
(iii) Rupees 27841.45 cost of whitewashing this tank at the rate of rupees 105.5 per 2.
Given that,
A open cylindrical tank of radius 14 meters and height 3 meters is made of sheet metal.
We have to find
(i) The quantity of metal sheet needed.
(ii) How much water this tank is capable of holding.
(iii) How much would it cost to whitewash this tank at a rate of 105.5% per square foot?
We know that,
(i) To find the sheet required of metal is
Curved surface area of cylinder =2πrh
Here,
r is 14 and h is 3
=2π(14)(3)
=84π
=263.9
Therefore, 263.9 meters sheet of metal is required.
(ii)To find how much liters of water can tank hold.
Volume of the cylinder =πr²h
=π(14)²(3)
=588π
=1847.25
Therefore, 1847.25 liters of water can this tank hold.
(iii) To find the cost of whitewashing this tank at the rate of rupees 105.5 per 2.
=263.9×105.5
=27841.45
Therefore, Rupees 27841.45 cost of whitewashing this tank at the rate of rupees 105.5 per 2.
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IT takes Santa 5 minutes to fly 35 miles with the wind It takes him 7 min to go 35 miles against the wind Determine the speed of Santa 's sleigh in air (X) and the speed of the wind (Y)
Speed of Santa 's sleigh in air (X) is 6 units and the speed of the wind (Y) is 1 unit.
What is arithmetic?
Arithmetic is an elementary a part of arithmetic that consists of the study of the properties of the normal operations on numbers—addition, subtraction, multiplication, division, mathematical operation, and extraction of roots.
Main body:
Let 'y' stand for the speed of the wind and 'x' stand for the speed of Santa. We will use the general equation (distance)=(rate)(time) to write two equations from the given information:
With the wind:
35=(x+y)(5) -------(1)
Against the wind:
35=(x-y)(7) --------(2)
using equation 1 ,we have
x+y = 7
using equation 2 ,we have
x- y = 5
now solving both equations , we get
x = 6 and y = 1
Hence , speed of Santa 's sleigh in air (X) is 6 units and the speed of the wind (Y) is 1 unit.
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find the probibility that among 5 randomly selected graduates, at least one finds a job in his or her chosen field within a year of graduating
The probability that at least one graduate out of the five who were picked at random obtains a job in their chosen area within a year of graduation is 93.96%.
Explain the term binomial probability?A binomial experiment can have two possible outcomes: success or failure, and the term "binomial probability" refers to the likelihood of obtaining precisely x successes upon n repeated but independent trials. The probability of success on a single try is p, and the formula for the binomial probability is as follows:P(X = x) = ⁿCₓ . pˣ . qⁿ⁻ˣLet X represent a random variable which represents the proportion all school graduates who secure employment in their profession of choice within a year of graduation:
With a binomial distribution,
X has a n = 5 and a p value of 0.57.
n = number of trial.
p = probability of success
x = number of success.
A binomial distribution's probability mass function is provided by:
P(X = x) = ⁿCₓ . pˣ . qⁿ⁻ˣ
The likelihood that at least one gets employment in their field of choice within a year after graduation:
P(X ≥ 1) = 1 - P(X < 1)
P(X ≥ 1) = 1 - P(X = 0)
P(X ≥ 1) = 1 - ⁵C₀ . (0.57)⁰ . (0.43)⁹⁻⁰
P(X ≥ 1) = 1 - 0.603
P(X ≥ 1) = 0.9396
P(X ≥ 1) = 93.96%
Thus, the probability that at least one graduate out of the five who were picked at random obtains a job in their chosen area within a year of graduation is 93.96%.
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The complete question is-
A study conducted at a certain college shows that 57% of the school's graduates find a job in their chosen field within a year after graduation. Find the probability that among 5 randomly selected graduates, at least one finds a job in his or her chosen field within a year of graduating.
Simplify (4 xy) (−2x)
Answer:
-x2 y
Step-by-step explanation:
A new gaming chair costs $455.95. You have already saved $136.45 and earn $35.50 each week babysitting. Write and solve an equation to determine how many weeks, w, you must babysit to earn enough money to buy the new gaming chair.
35.5 + 136.45w = 455.95; w = 9
35.5w + 136.45 = 455.95; w = 9
35.5w − 136.45 = 455.95; w = 17
35.5w − 455.95 = 136.45; w = 17
The equation to determine how many weeks, w, you must babysit to earn enough money to buy the new gaming chair is A. 35.5w + 136.45 = 455.95; w = 9
How to calculate the equation?An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.
In this case, a new gaming chair costs $455.95. You have already saved $136.45 and earn $35.50 each week babysitting.
Let the number of weeks be w.
This will be represented as:
136.45 + 35.50w = 455.95
Collect the like terms
35.50w = 455.95 - 136.45
35.50w = 319.50
Divide
w = 319.50 / 35.50
w = 9
The number of weeks is 9.
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The answer is A!
Step-by-step explanation:
It's right can I get brainliest?
If a researcher wants to use a control group whose participants receive a placebo pill as well as an experimental group whose participants receive a new treatment medication, which type of statistical test is most appropriate for analyzing the results and why?.
Independent-samples t test statistical test is most appropriate for analyzing the results .
What is Independent-samples t test?
To ascertain whether there is statistical support that the linked population means are statistically substantially different, the Independent Samples t Test compares the means of two independent groups.
An example of a parametric test is the Independent Samples t Test. The Independent t Test is another name for this test.
What is the difference between a dependent and independent samples t-test?
If the participants in one sample do not influence the participants in the other, then the two (or more) samples are said to be independent.
Dependent samples are two (or more) samples where the members picked for one sample automatically determine the members chosen for the second sample.
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