Mathematics College

A vehicle travels a distance of 5t4 − 10t2 + 6 miles in t + 2 minutes.
The vehicle's speed is __________miles/minute.

Answers

Answer 1

Answer:

Speed of the vehicle=[tex]\frac{5t^{4}-10t^{2}+6}{t+2}miles/min[/tex]

Step-by-step explanation:

Given that,

Distance traveled by the vehicle =  5t⁴ - 10t² + 6 miles

time = t + 2 minutes

We need to find the speed of vehicle. Use the formula of speed is:

[tex]Speed=\frac{Dstance}{Tme}[/tex]

[tex]Speed=\frac{5t^{4}-10t^{2}+6}{t+2}[/tex]

So, speed of the vehicle=[tex]\frac{5t^{4}-10t^{2}+6}{t+2}[/tex]

That's the final answer.

Answer 2

Answer:

The speed is 5t^3 - 10t^2 + 10t - 20 + 46/(t+2) miles per minute.

Related Questions

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

Answers

no they only increased it by 6 precent

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:

https://brainly.com/question/20818421

#SPJ2

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 $

Answers

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.

For a track meet, Tara ran the 1,600 m event at constant speed in 5 minutes and 20 seconds. What was her speed?

Answers

1600/320=5

Her speed was 5 meters/second

Which is the most reasonable conjecture about the data shown in the scatter plot?



I think B? I'm not sure..

Answers

In this case, what you should notice is that there is an increase in salary according to years of experience.
 Notice that as the horizontal axis moves away from the origin of coordinates, the vertical axis also moves away from the origin of coordinates.
 Answer: 
 people with more experience, have to earn higher salaries. 
 option B.

Is 200 milliliter equivalent to 2 liters

Answers

No because,

1 liter = 1000 milliliter 
2 liter = 2 * 1000 = 2000 milliliter 
200 milliliter = 0.2 liter

Hope this helps :)

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

Answers

First compute the probability of getting an orange marble. 
Number of favorable possibilities: 5.
Number of all the possibilities: 10.
So the probability of getting an orange marble is: 5/10=1/2.
Since the above probability is 50%, then multiply by the 120 experiment in order to get the number of time we expect an orange marble:
[tex]120\times0.5=60.[/tex]
Answer: 60 times. 

Sela's piano lesson starts at 4:45pm the lesson is 30 minutes long

Answers

The piano lesson would end at 5:15. Does this answer your question?

the piano lesson ends at 5:15

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

Answers

A cubic function is a function with the highest degree of 3. So the answer is V

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

Tom and Sonya were comparing their answers on a math problem. It was an order of operations problem, and they each had a different answer. Tom had an answer of 11, and Sonya had an answer of 104. Which student correctly solved the order of operations problem given by the teacher?

(5^2 +6)–(7•4)+8

Answers

Hello!

The order of operations is PEMDAS or parenthesis, exponents, multiplication, division, addition subtraction.

So 5^2 is 25 + 6 is 31

7*4 is 28

31 - 28 = 3

and 3 + 8 is 11

Tom was right

Hope this helps!
Hey there!

Seeing that it's an order of operations problem, we can use our standard format of computing, PEMDAS. It stands for:

P- Parentheses
E- Exponents
M- Multiplication
D- Division
A- Addition
S- Subtraction

When we compute these problems, we must do it in this order. Therefore, when we do this problem, we start within the parentheses.

(5^2 +6)–(7•4)+8

Inside the parentheses, we have an exponent. Since it's second, we compute it first. 

(25 +6)–(7•4)+8

Next, we can simplify the multiplication problem in the other set of parentheses.

(25 +6)–(28)+8

Simplify first parentheses:

31 - 28 + 8

Subtract

3 + 8 = 

11

Notice how we subtracted first. That's because when we do PEMDAS, addition, and subtraction, along with multiplication and division, are on the same level- so you can do them in any order. This doesn't go for anything else though unless it's obviously commutative.

Hope this helps!

Find the fifth term of an=3n-5

Answers

For the fifth term, n = 5.
Just replace n with 5 in the expression.
Then evaluate the expression.

[tex] a_n = 3n - 5 [/tex]

[tex] a_5 = 3(5) - 5 = 15 - 5 = 10 [/tex]

Please help me with this question

Answers

The area of 1/2 the hexagon is
.. A = (1/2)*(1/2)*6*(10 cm)*x = 15x
.. 130 cm^2/15 = x ≈ 8.7 cm

_____
In a regular hexagon, the apothem is always the side length multiplied by (√3)/2. It will be 8.7 cm regardless of the shading.

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°

Answers

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

what is 5 1/2 × 2 1/3

Answers

Hello,

Here is your answer:

The proper answer to this question is "77/6".

Here is how:

First turn the mix numbers into fractions:

5 1/2=11/2
&
2 1/3=7/3

Now write the equation:

11*7=77
2*3=6

Your answer is 77/6!

If you need anymore help feel free to ask me!

Hope this help!

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?

Answers

I = P*r*t
r = I/(P*t) = (400 -350)/(350*1.5) . . . . . . 18 mo = 1.5 yr
r = 1/10.5
r ≈ 9.5%

You are paying about 9.5% simple interest.

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

Answers

we know that 
the rule is
y=x+2
then 
for x=-3 -------------------> y=-3+2=-1
for x=-2 -------------------> y=-2+2=0
for x=-1 -------------------> y=-1+2=1
for x=0 ------------------->  y=0+2=2
for x=1 ------------------->  y=1+2=3

for x=3 -------------------> y=3+2=5
for x=4 -------------------> y=4+2=6
for x=5 -------------------> y=5+2=7
for x=6 -------------------> y=6+2=8
for x=7 -------------------> y=7+2=9

the answer is 
Input x -3 -2 -1 0 1 Output y -1 0 1 2 3
Answer: the first set of data:

Input x     -3    -2    -1    0     1
Output y   -1     0     1     2    3

Explanation:

Given functión y = x + 2

Choices:

1)
 Input x     -3    -2    -1    0     1
Output y   -1     0     1     2    3

2)

Input x      3    4    5      6      7
Output y   5    7    9    11    13

Answer:

You just have to use the sets of input values and find the output values with the given function:

The computes are very simple so you can tell the answer at first sight, because the output, y, is 2 units more than the input, x.

The first set of data fits the function because

x = -3 => y = -3 + 2 = -1
x = -2 => y = -2 + 2 = 0
x = -1 => y = -1 + 2 = 1
x = 0 => y = = 0 + 2 = 2
x = 1 => y = 1 + 2 = 3

That proves that the first set of data represents the given rule.

For the second set of data pick x = 4 => x + 2 = 6 but the correspondant y is 7, so that set does not represent the rule y = x + 2

Find the radius of the circle whose equation is 3x² + 3y² = 75.

Answers

3x² + 3y² = 75
divide everything by 3
x² + y² = 25

This is a standard equation of a circle.
Center (0,0) and radius = 5

Answer: 5 units

Step-by-step explanation:

We know that the general equation of a circle having center at (h,k) and radius r is given by :-

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Given : The equation of a circle : [tex]3x^2 + 3y^2 = 75[/tex]

Taking 3 as common from the left side of the given equation , we get

[tex]3(x^2 + y^2) = 75[/tex]

Divide 3 on both the sides , we get

[tex]x^2 + y^2 = 25[/tex]

Comparing to the general equation of circle , we get

[tex]r^2 = 25\\\\\Rightarrow\ r=5[/tex]

Hence, the radius of the circle = 5 units

What are the roots of the equation?

x^2+24=−11x

Enter your answers in the boxes.

Answers

The correct answers are:

x=-3 and x=-8.

Explanation:

We can first write this in standard form, ax²+bx+c=0. To do this, we will add 11x to both sides:
x²+24+11x=-11x+11x
x²+11x+24=0.

Now we can factor this. Look for factors of c, 24, that sum to b, 11. Factors of 24 are:
1 and 24 (sum 25)
2 and 12 (sum 14)
3 and 8 (sum 11)
4 and 6 (sum 10).

The factors we need are 3 and 8, since they sum to 11. This gives us factored form:
(x+3)(x+8)=0.

Using the zero product property, we know that in order to have a product of 0, one or both of the factors must be 0. This means we have:
x+3=0 or x+8=0.

Solving the first equation:
x+3-3=0-3
x=-3.

Solving the second equation:
x+8-8=0-8
x=-8.

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]

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?

Answers

Given that the amount invested was compounded annually, the total value of the investment after 5 years will be:
FV=P(1+r/100)^n
where:
FV=future value
p=principle
r=rate
n=time
hence
FV=5000(1+3.2/100)^5
FV=$5,852.865

Which of the following is a negation of the statement below?

All students like math.

Answers

in fact, i do not see the answer from the choices that i like, so i will let some one else answer All students do not like math. is wrong since all we need is one that does not like math i hope this helps you

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'

What is the area of the hexagon? Numerical answer only!

Answers

8 times 3 =24
3 times 2 =6

=30
From here you can split up the hexagon into 2 rectangles. Draw a line from D perpendicular to line AB. 

Area = length x width

We know the upper rectangle's dimensions are 2 by 3 because AB = CD + EF. Put in the numbers, 6 = CD + 3. Solve for CD which is 3. Multiply 2 by 3 to get the area of the upper rectangle. Answer: 6

The lower rectangle's dimensions are 8 by 3 (given). Multiply 8 by 3 to get the area of the lower rectangle. Answer 24.

Once you've calculated both areas, add them up to find the area of the entire figure.
Final Answer: 30 [tex] cm^{2} [/tex]

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?

Answers

Original $= $113
% mark up= 45%

=original $ + (original $ * 45%)
=113 + (113 * 45%)
=113 + 50.85
= $163.85

ANSWER: The manager should sell the couch for $163.85.

Hope this helps! :)
The answer is $163.85

how many subsets of at least one element does a set of six elements have

Answers

The number of subsets of n elemnets = 2^n
but this also includes a null set, because a null set is a subset of every set

So in our problem = 2^6 -1 = 63 subsets
Choice B

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.

Is the sequence arithmetic? If so, identify the common difference. 15,22,35,46,...

Answers

The answer is no the sequence isn't arithmetic. I'm 100% pretty sure.

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.

Answers

A graphing calculator shows the relative extremes to be
.. (2.606, 10.837) . . . relative maximum
.. (8.564, 8.033) . . . . relative minimum

Solve the logarithmic equation. Round your answers to the nearest hundredth. 6+in x=8

Answers

well, assuming is not inches, and instead is ln(x).

[tex]\bf \textit{Logarithm Cancellation Rules}\\\\ log_a a^x= x\qquad \qquad \boxed{a^{log_ax}=x}\\\\ -------------------------------\\\\ 6+ln(x)=8\implies ln(x)=2\implies log_e(x)=2 \\\\\\ e^{log_e(x)}=e^2\implies x=e^2[/tex]

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]


what is the answer to 3 (k-2)-6=4k-(3k-1)

Answers

Eliminate parentheses.
  3k -6 -6 = 4k -3k +1
Collect terms.
  3k -12 = k +1
Add 12, subtract k
  3k = k +13
  2k = 13
Divide by the coefficient of k
  k = 13/2 = 6.5

whats the equation of the line?

Answers

Is there an attachment? I can’t help.

How many 10 person juries can be formed from 21 possible candidates???

Answers

The answer is 352,716.

This is a combination; out of 21 you are choosing 10:

[tex]_{21}C_{10}=\frac{21!}{10!11!}=352,716[/tex]

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

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?

Answers

The probability is 1/2

A school has 18 left-handed students. If 8% of the total number of students in the school are left-handed, what is the total number of students in the school?

Answers

Your answer is two hundred twenty-five
225 students.  18/0.08 = 225
Other Questions
What would you call 2-1-1 for? A.Product safety information B.Help after a home break-in C.Domestic violence counseling D.Help after a domestic violence incident Hi, can somebody please help me with this problem? Thank you. Nadiya determines that there are no fractions equivalent to 2/10 with a denominator greater than 10, but less than 20, that have a whole number numerator and denominator. Is Nadiya correct? Yes, Nadiya is correct. By multiplying the numerator and denominator by 2, the first fraction equivalent to 2/10is 4/20.Yes, Nadiya is correct. By multiplying the whole fraction by any whole number, each equivalent fraction will continue to have a denominator of 10. No, Nadiya is incorrect. She could multiply both the numerator and denominator of the unit fraction equivalent to 2/10 by 3 and arrive at the equivalent fraction 3/15. No, Nadiya is incorrect. She could add any number between 1 and 8 to the numerator and denominator and arrive at an equivalent fraction with a denominator greater than 10 but less than 20. different varieties of field daisies have numbers of petals that follow a fibonacci sequence.Three varieties have 13,21, and 347 petals.How many petals do the next two varieties of field daisy have?a. 42, 55b. 47,60c. 42,50d. 55,89 2.Briefly explain how the Industrial Revolution and economic motives contributed to European imperialism. (2 points) ________ is the process of surveying the market environment to assess external threats and opportunities. what is 2/3 5 in simplest form How does gravity keep the planets in orbit around the sun Emily buys the cage and two bowls for $54 the cage cost $40 each for cost the same amount what is the price of one bowl Among the Maasai, a tribal culture in southwestern Kenya, an American doctor introduced a hand-washing program to help the incidence of childhood diarrhea, which can cause death if left untreated. The tribe's women began to sell homemade jewelry so they could afford to purchase soap.Which of the following development needs is met by the NGO initiative above?A.the reduction of widespread diseaseB.the encouragement of economic growth by international investment into a societyC.an increase in the literacy rateD.a reduction in the population growth rate How do hurricanes form? Please help!:Charlie built a toy using a rectangular prism and cubes as shown below.What is the surface area of the toy Charlie built?A.650 sq cmB.350 sq cmC.550 sq cmD.400 sq cm Leonardo was strongly influenced by the roman architect ________. How does a nation respond to economic, political, and social challenges? Mickey is 40 years old and has his retirement savings in a 401(k). If he makes $55,000 annually, what is the maximum percentage of his income that he can contribute to his 401(k) plan per year? (The current maximum contribution limit is $16,500.) A ballroom in a hotel has the shape shown in the diagram. The hotel manager needs to determine how much carpet is needed to recarpet this area. All angles are right angles. The area of the ballroom is What are one similarity and one difference between the united nations and the league of nations? write the number 0.5 in the form a/b using integers to show it is a rational number A.5/11B.5/10C.5/100D.2/1 In a deciduous forest ecosystem, a white-tailed deer eats tree leaves while a Coopers hawk hunts a downy woodpecker. In the ground, earthworms break down leaves. The Coopers hawk is classified as a A producer B decomposer C parasite D consumer "which answer is not a theorem or postulate used to prove triangles' similarity?"