The value of x for which this model will make the least sense to use is at x=-2.75 seconds.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The function that is given to us is h(x) = –16x²+100 where x is the time in seconds.
Now, use the function to know the height of the object, therefore, the height of the object can be written as,
Time, t₁=0
Now, the height can be written as,
[tex]h(x) = -16x^2+100\\\\h(0)=0+100\\\\h_1=100[/tex]
Thus, the height of the object when the time is 0 seconds is 100.
Time, t₂=0.5
Now, the height can be written as,
[tex]h(x) = -16x^2+100\\\\h(0.5)=-4+100\\\\h_2=96[/tex]
Thus, the height of the object when the time is 0.5 seconds is 96.
Time, t₃=1
Now, the height can be written as,
[tex]h(x) = -16x^2+100\\\\h(1)=-16+100\\\\h_1=84[/tex]
Thus, the height of the object when the time is 1 second is 84.
Time, t₄=1.5
Now, the height can be written as,
[tex]h(x) = -16x^2+100\\\\h(1.5)=-36+100\\\\h_4=64[/tex]
Thus, the height of the object when the time is 1.5 seconds is 64.
Time, t₅=2
Now, the height can be written as,
[tex]h(x) = -16x^2+100\\\\h(2)=0+100\\\\h_5=36[/tex]
Thus, the height of the object when the time is 2 seconds is 36.
Now as we can see that the error in the height of the object can be a maximum of 1, therefore, for different values of x, the change in height will be,
Time, t₆= -2.75
Now, the height can be written as,
[tex]h(x) = -16x^2+100\\\\h(-2.75)=-121+100\\\\h_6= -21[/tex]
Thus, the height of the object when the time is -2.75 seconds is -21.
Hence, the value of x for which this model will make the least sense to use is at x=-2.75 seconds.
Learn more about Function:
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Answer:
-2.75
Step-by-step explanation:
A
A cone has a volume of 376.8 cubic
millimeters and a height of 10
millimeters. What is its radius?
Answer:
36.23
Step-by-step explanation:
Finding the radius of a cone with volume given =
3V / πh, π = 22/7 = 3.14
3 x 376.8 / π x h = 1130. 4 / π x 10
1130.4 / 3.14 x 10 = 1130.4 x 31.42 = 36.23
This year, the number of seventh graders at a middle school has increased by 20% (on top of the number of seventh grader last year). there are now 180 seventh graders. What was the number of seventh grader last year?
A cone has a volume of 314 cubic meters and a height of 12 meters. What is its radius?
Answer:
About 5 meters
Step-by-step explanation:
v= πr² h/3
r= √3 v/πh= 3•314/ π•12= 4.99873 rounded which then rounds to 5
How many minutes longer does it take Morowa to complete a job in three-quarters
of an hour than Osei who completes the job in five-twelfths of an hour!
35 + 2x = 60. HELP PLS
Answer:
=> x = 12.5Step-by-step explanation:
=> 35 + 2x = 60
=> 2x = 60-35
=> 2x = 25
=> x = 25/2
=> x = 12.5
what causes a leap year
Answer:
In a leap year, we add an extra day on 29 February to our calendar of 365 days. What goes around: The reason we have February 29 every four years is because of two different time cycles involved with the rotation of the Earth. Leap years happen every four years, except if the year is a multiple of 100PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
2 4/9 because the filled in boxes stand for a whole and what's missing is 4 pieces from the last one which would be the numerator and the denominator would be 9 because that's how many squares are there in total.
Step-by-step explanation:
Answer:
2 5/9
Step-by-step explanation:
Count the full boxes, which there are two of them,
and then you count the number of colored boxes in the partially filled one.
There are 5 colored boxes.
Hence, you get 2 wholes and 5/9 colored boxes
So the answer is 2 5/9.
7. Find the length of a chord that is 5 inches from the center of a circle with a radius of 13 inches.
Answer:
i don't know I don't have ideas
URGENT!!!! WILL GIVE BRAINLIEST TO FIRST RIGHT ANSWER!!!!!!
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
6, 9, 27/2, ....
Find the 6th term.
geometric sequence
[tex]\tt U_n=ar^{n-1}[/tex]
a = 6 = first term
r = ratio = [tex]\tt \dfrac{9}{6}[/tex]
the 6th term (n=6)
[tex]\tt U_6=6\times (\dfrac{9}{6})^{6-1}\\\\U_6=6\times \dfrac{9}{6}^5\\\\U_6=\dfrac{9^5}{6^4}=45.5625\rightarrow rounded~to nearest~thousandth=45.563[/tex]
Cube shape is very difficult
Answer:
A, C, and D are right.
A cube is basically six squares pushing against each other and since you can have a square you can also have a triangle considering you can cut it diagonally in half. And since a square is classified as a rectangle as well then C is also correct.
Step-by-step explanation:
Hope this helped.
A brainliest is always appreciated.
A boy throws a baseball across a field. The ball reaches its maximum height, 18 meters, after 1 second. After approximately 2. 3 seconds, the ball lands on the ground. The ball’s motion can be modeled using the function f(x) = –10x2 20x 8. What is the height of the ball 1. 5 seconds after it is thrown? 11. 7 meters 13. 8 meters 15. 5 meters 17. 5 meters.
The height of the baseball after the 1.5 seconds of time as the boy throw the ball is 15.5 meters.
How to model a mathematical function?The mathematical functions is used to represent the general problem in the mathematical way to solve them.
Steps to write down the simple mathematical function-
Identify all the factors of the expression.Assume a variable for the changing values.Put a coefficient for the variable, if there is any rate of change of variable.Use constant numbers for the fixed values.A boy throws a baseball across a field. The ball reaches its maximum height, 18 meters, after 1 second.
After approximately 2.3 seconds, the ball lands on the ground.
The ball’s motion can be modeled using the function
[tex]f(x) = -10x^2 +20x+ 8[/tex]
Here, x represents the time in seconds.
As, the height of the ball 1.5 seconds after it is thrown has to be found out. Thus, put the values of in the above equation as,
[tex]f(x) = -10(1.5)^2 +20(1.5)+ 8\\f(x)=-22.5+30+8\\f(x)=15.5\rm \; m[/tex]
Hence, the height of the baseball after the 1.5 seconds of time as the boy throw the ball is 15.5 meters.
Learn more about the modeling the mathematical function here;
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Your payment is $300 per month for 48 months and you made a $2,000 down payment. What is your total cost of leasing?
$14,600
$16,400
$14,400
$12,400
Answer:
$12,400
Step-by-step explanation:
$300 x 48 = $14,400
$14,400 - $2000(down payment) = $12,400
Please Help ASAP I Need It Plsss
Answer:
need points lol
Step-by-step explanation:
What is the value of this expression?
( 12 1/3 + 5 1/3 ) - ( 7 4/8 - 7 1/6 )
Enter your answer on the box as a mixed number in simplest form.
Answer:
17 1/3
Step-by-step explanation:
12 1/3+ 5 1/3=17 2/3
7 4/8- 7 1/6=1/3
17 2/3-1/3= 156/9 Simplest form=17 1/3
Hope that helped.
What is 60% of 50?
coins
Answer:
30
Step-by-step explanation:
do 50 divided by 10 wich is 5 so ever 5 is 10 percent so the do 5 times 6 to get 30!
Due to symmetry, the probability that the standard normal random variable Z is less than 0 is equal to ______. Multiple choice question. 0
Answer:
.5
Step-by-step explanation:
The probability that a normal random variable is less than its mean is .5
24 POINTS PLEASE HELP
Nathaniel has 3 hats and 3 belts in his closet. He chooses 1 hat followed by 1 belt.
Draw a tree diagram to model the sample space of Nathaniel choosing a hat followed by a belt out of his closet.
How many outcomes are possible?
Answer:
9 outfits
Step-by-step explanation:
i think this is what the question is asking hope this helped
Consider the trinomial 6x2 13x 6. The value of ac is. The value of b is. The two numbers that have a product of ac and a sum of b are 4 and.
The value of ac is 36 and the value of b is 13. Then the value of ac + b is 49. The two numbers are 4 and 9.
What is polynomial?Polynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.
Consider the trinomial 6x² + 13x + 6.
Compare with the standard equation, we have
ax² + bx + c
Then we have
a = 6
b = 13
c = 6
The product of ac will be
ac = 6 × 6 = 36
The sum of ac and b will be
ac + b = 36 + 13 = 49
The two numbers that have a product of ac and a sum of b are 4 and 9.
More about the polynomial link is given below.
https://brainly.com/question/17822016
Answer:
36,13,9
Step-by-step explanation:
Just took the test 2022
Factor completely
Solve: [tex]x^{3} + 2x^{2} -9x - 18[/tex]
please do:
step-by-step-explanation
Brandon bought 21 chicken wings for $39. 90. How much would it cost for 15 wings?
Answer:
$28.50
Step-by-step explanation:
21 chicken wings= $39.90
1 chicken wing= 39.90÷21= $1.90
15 chicken wings= 15×1.90= $28.50
:)
Answer:
$28.50
Step-by-step explanation:
Knowing that :
Brandon brought 21 chicken wings for $39.90
Asking:
How much would it cost for 15 Wings?
Solve:
We first need to know how much is 1 Wings.
To find that Divide Cost by chicken
Thus, 39.90 divide by 21..
=1.90
Hence, 1 Wings ⇒ 1.90
Then Multiply by 15 wings to find the cost of 15 wings.
1.90 * 15 = 28.50
Therefore, 15 Wings Cost $28.50
[RevyBreeze]
good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Answer: C. [tex]f(n) = -4(-3)^{n-1}[/tex]
Step-by-step explanation: The formula for a geometric sequence is [tex]ar^{n-1}[/tex], where a = first term in the sequence
r = common ratio
n = position of term
Here they already told us a = -4, so we have to figure out r. We can see that in the sequence -4, 12, -36, 108... the terms are being multiplied by -3, which is why the negative and positive terms alternate.
Therefore, the formula is: [tex]f(n) = -4(-3)^{n-1}[/tex]
You can try inserting n to check it.
[tex]f(1) = -4(-3)^{1-1} = -4\\f(2) = -4(-3)^{2-1} = 12\\f(3) = -4(-3)^{3-1} = -36\\f(4) = -4(-3)^{4-1} = 108[/tex]
Option C
Let's verify
f(1)=-4(-3)^0=-4f(2)=-4(-3)^1=12f(3)=-4(-3)^2=-36Hence verified
Break Even Analysis for Small Business 1) Jesse wants to start a business making and selling skateboards. She will charge $75 for each one. Her cost will be $30 per skateboard for materials. She must pay $500 per month rent (which includes utilities) so that she has a place to make and sell the skateboards. a) Write a rule for her revenue (money coming in). b) Write a rule for her cost.
Answer:
a) r(b) = 75b
b) c(b) = 30b +500
Step-by-step explanation:
Revenue is the product of the selling price per unit and the number of units. The cost will be the sum of fixed (overhead) cost and production cost per unit multiplied by the number of units produced.
__
Let b represent the number of skateboards Jesse produces in a month.
a)Jesse receives $75 for each skateboard sold. Her revenue from selling 'b' skateboards is ...
r(b) = 75b
__
b)It costs Jesse $30 for each skateboard produced, and $500 for overhead. Her total cost is ...
c(b) = 30b +500
_____
Additional comment
In order to break even, Jesse's revenue must equal her cost:
75b = 30b +500
45b = 500
b = 11 1/9
Jesse must produce and sell 12 skateboards each month to cover her costs. (In a real business, there are additional considerations related to inventory, shrinkage, returns, discounts, and other things that may increase cost or reduce revenue.) After covering costs, each additional skateboard sold will give Jesse a profit of $45.
Solve this system of equations algebraically: y x = 19 – x2 x y = 80 1. Isolate one variable in the system of equations. Y = –x2 – x 19 y = –x 80 2. Use substitution to create a one-variable equation. –x 80 = –x2 – x 19 3. Solve to determine the unknown variable in the equation. The system has real number solution(s).
System of equations helps to solve real-life problems. The system of equations will not have no solution.
What is a System of the equation?Inconsistent System
A system of equations to have no real solution, the lines of the equations must be parallel to each other.
Consistent System
1. Dependent Consistent System
A system of the equation to be Dependent Consistent System the system must have multiple solutions for which the lines of the equation must be coinciding.
2. Independent Consistent System
A system of the equation to be Independent Consistent System the system must have one unique solution for which the lines of the equation must intersect at a particular.
The two of the system of equations given to us are,
[tex]y+x=19-x^2[/tex]
[tex]x+y = 80[/tex]
Now,
1. The first step is to isolate one variable in the system of equations,
[tex]y=19-x^2-x[/tex]
[tex]y=80-x[/tex]
2. The second step is to substitution to create a one-variable equation.
[tex]80-x=19-x^2-x\\x^2-x+x=19-80\\x^2 = -61[/tex]
Now, since the value of x is the negative square root. therefore, the system of equations will not have a real number of solutions.
If we plot the two equations on the graph, then the line of the system of equations will not intersect any point, therefore, the system of equations will have no solution.
Hence, the system of equations will not have no solution.
Learn more about the System of the equation:
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Answer:
0 solutions
Step-by-step explanation:
Edge 2022
A missing piece of a board game, a circular disk, had an area of 100,608. 7. The replacement disks online a
listed using circumferences. What size circumference should be ordered?
1. 179 mm
2. 1,263,645. 774 mm
3. 0. 7 mm
4. 1,124. 12 mm
help meeeee I'm going to fail
Answer:
A, C, and D, are correct
Step-by-step explanation:
We can find the answer to each of these by simply doing the math for each one
[tex]3*\sqrt{2} = 4.24\\\frac{1}{2} *\sqrt{68} = 4.123\\\sqrt{17} = 4.123[/tex]
Answer:
A, C, and D
Step-by-step explanation:
A is 4.24
B is 3.54
C is 4.12
D is 4.12
E is 5.29
what’s the answer??
Answer:
KL = 3.4
Step-by-step explanation:
[tex]\frac{LI}{HE} =\frac{KL}{HG}[/tex]
[tex]\frac{5}{16} =\frac{KL}{11}[/tex]
[tex]KL=11(\frac{5}{16} )=55/16=3.4375[/tex]
Hope this helps
a
In a class of 40 students, 35% of them walk to school. Half the number of the remaining students
take the school bus. How many students take the school bus?
Answer:
18
Step-by-step explanation:
35% of the 40 students that walk to school is: 14.
Half of the remaining students take school bus: 40-14 = 36/2 = 18
BRAINLIEST!!! HELP DUE IN 27MINUTES
Lim 3x³ + 2x² + x + 1. x→0
Answer:
3mx3Li+2x2+2x→0
Step-by-step explanation:
[tex]\lim_{x \to0} 3x^3 +2x^2+x+1=3(0)^3+2(0)^2+0+1= 1[/tex]
Hope that helps!
Definition of limit: Limits describe how a function behaves near a point, instead of at that pointHELP ME EXPLAIN PLEASE HURRY!!!!
Answer:
40
Step-by-step explanation:
The formula is: a² + b² = c²
Looking at the picture, 41 is the hypotenuse of the triangle. We can now solve.
9² + b² = 41²
Which the answer is 40.
Shannon needs 20g of 80% gold to make a pendant. She has some 85% gold and some 70% gold. How much of each should she use of each alloy, use two linear equations to solve
Answer:
85%: 13 1/3 grams70%: 6 2/3 gramsStep-by-step explanation:
Two equations can be written to describe the desired relationships. One can describe the total quantity of gold alloy needed. The other can describe the amount of gold in the combination of alloys.
Let x and y represent the quantities in grams of 85% and 70% gold alloy needed, respectively.
x + y = 20 . . . . . . Shannon needs a total of 20 grams
0.85x +0.70y = 0.80(20) . . . . . the amount of gold in the mix of alloys
__
These equations are often nicely solved by substitution. Substituting for y, we have ...
0.85x +0.70(20 -x) = 0.80(20)
0.15x = 0.10(20) . . . . . . . eliminate parentheses, subtract 0.70(20)
x = 40/3 = 13 1/3 . . . . . divide by 0.15
y = 20 -13 1/3 = 6 2/3
Shannon should use 13 1/3 grams of 85% alloy and 6 2/3 grams of 70% alloy.