The function given by Upper A left parenthesis t right parenthesis equals 0.0265 t cubed minus 0.444 t squared plus 1.774 t plus 8.76A(t)=0.0265t3−0.444t2+1.774t+8.76, 0 less than or equals t less than or equals 100≤t≤10, can be used to estimate the amount, in billions of dollars, invested by large oil companies in exploration for new reserves t years after 19951995. Find the relative extreme points, and sketch a graph of the function.
You borrow $350 from your aunt and agree to repay her $400 in 18 months. What interest rate (to the nearest tenth) are you paying?
A bag contains 5 purple marbles and 5 orange marbles. Rahul reaches into the bag and draws one marble without looking. Then he replaces the marble and repeats the experiment. If he repeats the experiment 120 times, how many times should he expect to pull out an orange marble? Please someone help me I need to finish this soon
whats the equation of the line?
Which of the following is a negation of the statement below?
All students like math.
Answer:
All students do not like math
Step-by-step explanation:
Because if it was 'No students do not like math' would mean 'all students like math'
The basketball team has been working hard to increase their points scored. The goal is to increase the number by 9% each game. In last week’s game, they scored just 66 points. In this week’s game they scored 72 points. Did they reach their goal this week?
Yes, they increased their score by 9%.
Yes, they increased their score by 8%.
No, they increased their score by only 6%.
No, they increased their score by only 8%.
Description
Yes, they reach the goal and increased their score by 9%.
What is percentage increase?% Increase = Increase / Original Number × 100. This gives you the total percentage change, or increase.
Given:
Last week game score=66
Next week game score= 72
Change in score= 72-66=6
So,
% increase= Change in score/original score *100
=6/66*100
=9.09 %
Hence, the score increase by 9.09%.
Learn more about percentage increase here:
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For a track meet, Tara ran the 1,600 m event at constant speed in 5 minutes and 20 seconds. What was her speed?
Find the next number sequence 192,96
Sela's piano lesson starts at 4:45pm the lesson is 30 minutes long
the piano lesson ends at 5:15
Cecil Green sells golf hats. He knows that most people will not pay more than $20 for a golf hat. Cecil needs a 40% markup on cost. What should Cecil pay for his golf hats? (Round your answer to the nearest cent.) Cecil pays $
Final answer:
Cecil should pay $14.29 for his golf hats.
Explanation:
To determine what Cecil should pay for his golf hats, we need to calculate the cost price and apply the 40% markup. Let's assume the cost price is 'x'. Since Cecil needs a 40% markup on cost, the selling price will be 140% of the cost.
To find the selling price, we can use the equation: 140% of 'x' = $20. Solving this equation, we get: x = $20 / 1.4 = $14.29.
Therefore, Cecil should pay $14.29 for his golf hats.
Which is a cubic function? a. f(x) = 3x + 1 b. f(x) = 3x2 + x + 2 c. f(x) = 5x3 + 2x + 1 d. f(x) = x3 + x4 + 5
Answer:
Option C is a cubic function
Step-by-step explanation:
Given the options we have to choose the cubic function
Cubic function is the function with degree 3 i.e the highest power of variable is 3.
Option a: [tex]f(x)=3x+1[/tex]
The above polynomial has highest power 1 i.e of degree 1
∴ not a cubic function
Option b: [tex]f(x)=3x^2+x+2[/tex]
The above polynomial has highest power 2 i.e of degree 2
∴ not a cubic function
Option c: [tex]f(x)=5x^3+2x+1[/tex]
The above polynomial has highest power 3 i.e of degree 3
∴ above is a cubic function
Option d: [tex]f(x)=x^3+x^4+5[/tex]
The above polynomial has highest power 4 i.e of degree 4
∴ not a cubic function
Which of the following represent the rule y = x + 2? Input x -3 -2 -1 0 1 Output y -1 0 1 2 3 Input x 3 4 5 6 7 Output y 5 7 9 11 13
The manager at Jessica's Furniture Store is trying to figure out how much to charge for a couch that just arrived. The couch was bought at a wholesale price of $ 1 1 3 . 0 0 $113.00dollar sign, 113, point, 00, and Jessica's Furniture Store marks up all furniture by 4 5 % 45%45, percent. At what price should the manager sell the couch?
what is the answer to 3 (k-2)-6=4k-(3k-1)
What are the roots of the equation?
x^2+24=−11x
Enter your answers in the boxes.
Answer:
[tex]x_1 = -8[/tex]
[tex]x_2 = -3[/tex]
Step-by-step explanation:
Given the equation:
[tex]x^2+24 = -11x[/tex]
Add 11x to both sides we have;
[tex]x^2+11x+24 = 0[/tex]
Split the middle terms we have;
⇒[tex]x^2+8x+3x+24 = 0[/tex]
⇒[tex]x(x+8)+3(x+8)= 0[/tex]
⇒[tex](x+8)(x+3)= 0[/tex]
By zero product property we have;
x+8 = 0 and x+3= 0
⇒x = -8 and x = -3
Therefore, the roots of the given equations are:
[tex]x_1 = -8[/tex]
[tex]x_2 = -3[/tex]
Two fair dice are rolled. what is the (conditional) probability that the first dice lands on an even number given that at least one of the dice lands on a 6?
how many subsets of at least one element does a set of six elements have
Answer: The required number of subsets is 63.
Step-by-step explanation: We are given to find the number of subsets of at least one element that a set of six elements have.
We know that
the number of subsets of a set having n elements is given by
[tex]N=2^n.[/tex]
So, the number of subsets of the set having six elements will be
[tex]N=2^6=64.[/tex]
Since there is only one subset of every set that contains less than one element (that is the empty set), so
the number of subsets of the set with at least one element is given by
[tex]N-1=64-1=63.[/tex]
Thus, the required number of subsets is 63.
Find the fifth term of an=3n-5
Please help me with this question
what is 5 1/2 × 2 1/3
A motor bike gets $60 kilometers per gallon of gasoline how many gallons of gasoline would the bike need to travel 240 kilometers
To calculate the amount of gasoline needed, divide the distance to travel (240 kilometers) by the vehicle's fuel efficiency (60 kilometers per gallon), which results in 4 gallons.
To find out how many gallons of gasoline a motorbike would need to travel 240 kilometers, we can use the provided fuel efficiency of the bike, which is 60 kilometers per gallon. The calculation involves dividing the total distance by the fuel efficiency:
First, write down the given efficiency: 60 kilometers per gallon.
Next, divide the distance to be traveled (240 kilometers) by the fuel efficiency:
240 kilometers / 60 kilometers per gallon = 4 gallons.
Thus, the motorbike would require 4 gallons of gasoline to travel 240 kilometers.
Is the sequence arithmetic? If so, identify the common difference. 15,22,35,46,...
if the unit selling price is2.50 and the unit cost 1.00 wjat action is needed maintain gross margin percentage when unit cost increase 0.25
Is 200 milliliter equivalent to 2 liters
Dr. Clarence invested $5000 in an account that draws 3.2% interest, compounded annually. What is the total value of the account after 5 years?
Which is the most reasonable conjecture about the data shown in the scatter plot?
I think B? I'm not sure..
Solve the logarithmic equation. Round your answers to the nearest hundredth. 6+in x=8
Answer:
[tex]x=7.39[/tex]
Step-by-step explanation:
we are given equation as
[tex]6+ln(x)=8[/tex]
Since, we have to solve for x
so, we will isolate x on anyone side
Firstly, we will subtract both sides by 6
[tex]6+ln(x)-6=8-6[/tex]
[tex]ln(x)=2[/tex]
now, we can take exponent of e on both sides
[tex]e^{ln(x)}=e^2[/tex]
now, we can use property of log
and we get
[tex]e^{ln(a)}=a[/tex]
we can use it
[tex]x=e^2[/tex]
So, solution is
[tex]x=7.39[/tex]
In the diagram, m∠3 = 120° and m∠12 = 80°. Which angle measures are correct?Check all that apply.m∠1 = 60°m∠13 = 80°m∠6 = 80°m∠5 = 60°m∠10 = 120°m∠ 14 = 100°
we are given
m∠3 = 120° and m∠12 = 80°
we will check all
Calculation of m∠1:
we can see that angles 1 and 3 are linear
so, their sum must be 180
m∠1+m∠3 = 180°
now, we can plug values
m∠1+ 120°= 180°
m∠1=60°
Calculation of m∠13:
we know that
angles 12 and 13 are alternate angles
so, they must be equal
m∠13=m∠12 = 80°
m∠13= 80°
Calculation of m∠6:
we know that
angles 3 and 6 are alternate angles
so, they must be equal
m∠3=m∠6 = 120°
m∠6= 120°
Calculation of m∠5:
we know that
angles 1 and 5 are corresponding angles
so, they must be equal
m∠1=m∠5 = 60°
m∠5= 60°
Calculation of m∠10:
we can see that angles 10 and 12 are linear
so, their sum must be 180
m∠10+m∠12 = 180°
now, we can plug values
m∠10+ 80°= 180°
m∠10=100°
Calculation of m∠14:
we know that
angles 10 and 14 are corresponding angles
so, they must be equal
m∠10=m∠14 = 100°
m∠14= 100°
Answer:
A, B, D, F
Step-by-step explanation:
Well to summarize what the previous person mentioned:
1 = 60
13 = 80
6 = 120
5 = 60
10 = 100
14 = 100
So given that information the correct answers are:
A, B, D, F
How many 10 person juries can be formed from 21 possible candidates???
Answer:
352,716 juries of 10 people can be formed from 21 possible candidates
Step-by-step explanation:
I am supposing that there are no roles in the jury, which means that the order in which the people are chosen is not important. So i calculate the number of possible juries using the combinations formula.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
10 people from a set of 21
[tex]C_{21,10} = \frac{21!}{10!(21-10)!} = 352,716[/tex]
352,716 10 person juries can be formed from 21 possible candidates
The probability is 0.2 that a person shopping at a certain store will