-10d^4 e^3 f^5 ÷ 15d^2 e^2 f

Answers

Answer 1
  -10d^4 e^3 f^5 
 ---------------------
   15d^2 e^2 f 

    =  -2/3  (d^2 e f^4 )

hope it helps
Answer 2

Answer:

transcript

Step-by-step explanation:

dividing by a polinomial


Related Questions

What is the fourth term in the arithmetic sequence 13,10,7

Answers

Final answer:

The fourth term in the arithmetic sequence 13, 10, 7 is 4.

Explanation:

The arithmetic sequence 13, 10, 7 has a common difference of -3. To find the fourth term, we can start with the first term and keep subtracting the common difference. So, 13 - 3 = 10, 10 - 3 = 7, and 7 - 3 = 4. Therefore, the fourth term in the arithmetic sequence 13, 10, 7 is 4.

Solve your formula from problem 12 for m. Then find the taxi driver’s hourly rate of his pickup rate is $2 and he charges $19.50 for a 7 - mile trip

Answers

m must equal (19.5÷7) plus 2 dollars

Answer: Cost per mile m = $4.78.

Step-by-step explanation:

Since we have given that

Pick up rate = $2

Charges for a 7 mile trip = $19.50

Charges for a mile trip would be

[tex]\dfrac{19.50}{7}\\\\=2.78[/tex]

So, amount of taxi's drivers is given by

[tex]\$2.78+\$2\\\\=\$4.78[/tex]

Hence, cost per mile m = $4.78.

evaluate the expression 4(2x + 3) + 2(x + 1)-7

Answers

4 (2x + 3) + 2 (x + 1) - 7

8x + 12 + 2x +  2 - 7

10x + 7

10x = -7
10x/10 = -7/10

x = -7/10

hope this helps


Joe practiced his trumpet 3/4 hour on Monday and 7/12 hour on Tuesday. How long did he practice altogether

Answers

1 1/3 hours. 3/4 plus 7/12 equals 1 1/3. Hope this helps

The Sears tower in Chicago is 1,454 feet tall. Write the height as an integer

Answers

The height is already an integer. 1,454.
An integer is a whole number that is not a fraction or decimal.

Write forty and eight tenths as a decimal

Answers

Hello!

Forty and eight tenths as a decimal would be:
40.8

The 8 is in the "tens" spot on the right side of the decimal, and 40 is on the left side. 

I hope this helps you!
Hello there! 

Question: Write forty and eight tenths as a decimal

 Looking for our answer
 [tex]forty = 40, right? \\ eight = 8,right? \\ decimal = . , right? [/tex]

So, thus our answer would most likely be: [tex]40.8[/tex]

Remember, to highlight your key information and your answer will come to you, it can come in handy in the future :)

Good luck on your assignment and enjoy your day!

                          ~
[tex]MeIsKaitlyn:)[/tex]                  

The cost of a new house can be represented by the regression equation c = 120f + 90,000, where $120 is the cost per square foot and $90,000 is the cost of the lot. A new house on a lot costs $438,000. How many square feet does it have?

Answers

Sent a picture of the solution to the problem (s).

Answer: 2900 Square Feet

Step-by-step explanation: i took the test

Juan's baseball card collection was worth 800$. Over the last 5 years,thw collection decreased $300 in value. What integer representa the average decrease in value each year.

Answers

Final answer:

The average yearly decrease in the value of Juan's baseball card collection, which decreased by $300 over 5 years, is $60. This integer represents the yearly reduction in value.

Explanation:

Juan's baseball card collection was worth $800. Over the last 5 years, the collection decreased by $300 in value. To find the average decrease in value each year, we can use the formula: Average decrease per year = Total decrease / Number of years.

Given that the total decrease is $300 and the time period is 5 years, the calculation would be:
Average decrease per year = $300 / 5 = $60.

Therefore, the integer that represents the average decrease in value each year for Juan's baseball card collection is $60.

Maria wrote the equation of a line that has a slope of 4/3and passes through point (3, 5). Which statement is true?

Answers

Answer:

B

Step-by-step explanation:

The slope intercept equation is [tex]y=\frac{4}{3}x+1[/tex] is true statement. Option C is correct.

From the given information the slope of the line is 4/3 and it is passing through point (3, 5).

Now, determine the equation of line in slope intercept form.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

To find the equation, first find the y intercept by considering the point values (3, 5).

[tex]5 = \frac{4}{3}+b[/tex]

[tex]5=4+b[/tex]

[tex]b=1[/tex]

Now plug in the values of slope and y intercept in slope intercept form:

[tex]y=\frac{4}{3}x+1[/tex]

Hence, Option C is correct, he equation of the line is [tex]y=\frac{4}{3}x+1.[/tex]

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The complete question is given in the attachment.

What is the range of f(x) = 4x?

Answers

Range is all positive real numbers

answer is D. last one

Answer:

D. All positive real numbers

Step-by-step explanation:

The range of a function f(x) are all the possibles values that f(x) can take. So in  the function of the question it doesn't matter what value takes x, f(x) is always going to be a positive number. For example:

f(0)=[tex]4^{0}[/tex]=1

f(-1)=[tex]4^{-1}[/tex]=1/4

f(2)=[tex]4^{2}[/tex]=16

Then, the range of f(x) is all positive real numbers.

You need to fill a football with air to play with it. You know that your pump expels air at speed of 8.2 ft/s. The needle of your pump has a radius of 4.5 millimeters. What is the volume flow rate of the air being pumped into the football?

Answers

Jjjjjjjjhjjjjhhhhjhhjjjjjhhhhhhh

Answer:

The volume flow rate of the air being pumped into the football is approximately [tex]\( 5.261 \times 10^{-7} \)[/tex] cubic feet per second.

Explanation:

To find the volume flow rate of the air being pumped into the football, we first need to calculate the cross-sectional area of the needle of the pump.

Given:

- The radius of the needle, [tex]\( r = 4.5 \)[/tex] millimeters.

The cross-sectional area, [tex]\( A \)[/tex], of the needle can be calculated using the formula for the area of a circle:

[tex]\[ A = \pi r^2 \][/tex]

Converting the radius from millimeters to feet:

[tex]\[ r = \frac{4.5}{1000} \text{ feet} \][/tex]

Now, let's calculate the cross-sectional area:

[tex]\[ A = \pi \left( \frac{4.5}{1000} \right)^2 \][/tex]

[tex]\[ A \approx \pi \left( \frac{0.0045}{1000} \right)^2 \][/tex]

[tex]\[ A \approx \pi \times 2.025 \times 10^{-8} \text{ square feet} \][/tex]

Now, we can find the volume flow rate, [tex]\( Q \)[/tex], of the air being pumped into the football. The volume flow rate is the product of the cross-sectional area of the needle and the speed of the air:

[tex]\[ Q = A \times \text{Speed} \][/tex]

Given:

- Speed of the air, [tex]\( \text{Speed} = 8.2 \)[/tex] ft/s

Now, let's calculate the volume flow rate:

[tex]\[ Q = \pi \times 2.025 \times 10^{-8} \text{ square feet} \times 8.2 \text{ ft/s} \][/tex]

[tex]\[ Q \approx 5.261 \times 10^{-7} \text{ cubic feet/s} \][/tex]

Jonathan can jog 3 2/5 miles in 7/8 hour.Find his average speed in miles per hour

Answers

[tex]\bf 3\frac{2}{5}\implies \cfrac{3\cdot 5+2}{5}\implies \cfrac{17}{5}\\\\ -------------------------------\\\\ \cfrac{3\frac{2}{5}~mi}{\frac{7}{8}~hr}\implies \cfrac{\frac{17}{5}~mi}{\frac{7}{8}~hr}\implies \cfrac{17}{5}mi\cdot \cfrac{8}{7}hr\implies \cfrac{17\cdot 8~mi}{5\cdot 7~hr}\implies \cfrac{136~mi}{35~hr} \\\\\\ \textit{which is rougly }\approx 3.886\frac{mi}{hr}[/tex]

Which of the various ways of orienting the definitional triangle must be used to resolve n⃗ into components in the tilted coordinate system shown? (in the figures, the hypotenuse is blue (long dashes), the side adjacent to θ is red (short dashes), and the side opposite is yellow (solid).)?

Answers

The answer picture 4. So the first step is to figure out the sines and cosines of theta (along with their signs in perspective). The next step is to find the trigonometric functions based on the results of first step. Sine and cosine are defined according to the following convention, with the key lengths shown in green: The hypotenuse has unit length, the side adjacent to has length , and the side opposite has length.

a 26 inch piece of Steel is cut into three pieces so that the second piece is twice as long as the first piece and the third piece is 2 in more than three times the length of the first piece find the links of the pieces

Answers

Sent a picture of the solution to the problem (s).

Write 24.652 as a mixed number.

Answers

24.652 = 24   65/100


24  65/100 is your answer

hope this helps

A sample of n = 8 scores has ss = 50. if these same scores were a population, then the ss value for the population would be ____.

Answers

A sample of n=8 has an ss=50 if these were a population the ss value of the population would be (50/8) of the sample = 6.25 of sample. Usually, ss value of the population i s calculated by dividing ss by the sample values. This is the way to calculate ss value of the population.

Answer:

5.69999

Step-by-step explanation:

URGENT
The depth of water in the port at hinchinbrook is given by: d(t)= 2.6 sin (Pi over 6 t) + 13.1, where d is in meters and t is the number of hours since high tide.

Use the model to determine how many hours are there between high tides.
If high tide was at midnight, draw a graph to determine during which hours should it be safe for the boats to be in the port and between which hours they would have to stay away from the port. Justify answers mathematically

Answers

The best way to approach this problem is to look at the graph of the given function. Replace values of x from 1 to 24 to indicate the numbers of hours in a day. As seen on the graph, there is only one point where the port is at high tide. That would be at 1:00 am. 

Looking at the graph, it would be safe for the boats to be in the port when the graph levels off at around 10 to 24. That's from 10 am to before 12 midnight. Then, they would have to stay away between 12 midnight to before 10 am.

what is length of DE

Answers

check the picture below.

The population of a town grew from 20,000 to 28,000. The continuous growth rate is 15%. The equation 20,000e^0.15t=28,000 represents the situation, where t is the number of years the population has been growing. About how many years has the population of the town been growing? Use a calculator and round your answer to the nearest whole number.

A. 2 years
B.9 years
C. 17 years
D. 22 years

Answers

The correct option is:  A.  2 years

Explanation

The given growth equation is:   [tex]20000e^0^.^1^5^t = 28000[/tex], where  [tex]t[/tex] is the number of years the population has been growing.

For finding the number of years, we will solve the above equation for  [tex]t[/tex].

First, dividing both sides by 20000, we will get........

[tex]\frac{20000e^0^.^1^5^t}{20000}=\frac{28000}{20000}\\ \\ e^0^.^1^5^t = 1.4[/tex]

Now taking 'natural log' on both sides, we will get........

[tex]ln(e^0^.^1^5^t)=ln(1.4)\\ \\ 0.15t*ln(e)= ln(1.4)\\ \\ 0.15t*1=ln(1.4)\\ \\ t=\frac{ln(1.4)}{0.15}=2.243..... \approx 2[/tex]

So, the population of the town has been growing about 2 years.

The town has been growing for 17 years

Exponential functions

Given the exponential function

Given the expressions 20,000e^0.15t=28,000

We are to find the value of "t" which is the time.

e^0.15t = 28000/20000

e^0.15t = 7/5

e^0.15t = 1.4

Take the ln of both sides

lne^0.15t = ln 1.4

0.15t = 2.639

t = 2.639/0.15

t = 17years

Hence the town has been growing for 17 years

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Each U.S. penny weighs 2.5 grams. How many pennies,x is how many pennies it an equation, are on scale if their total weight is 37.5 grams:A. 2.5+x=37.5 x=12,B. 2.5x=37.5 x=15, C. x-2.5=37.5 x=40,D. 2.5x=37.5 x=18???? please answer quick.

Answers

the equation is 37.5 = 2.5x  

then divide each side by 2.5

x = 15

letter B is your answer

In the parabola y = (x + 1)2 + 2, what is the vertex?

Answers

Vertex: (-1,2)
as general form is y=a(x-p)^2+q and vertex is (p,q)
so p=-1 ands q=2 so vertex is (-1,2)

The vertex form of a quadratic equation is expressed as y = a(x - h)^2 + k. The vertex of the parabola is (-1, 2)

Vertex form of an equation

The vertex form of a quadratic equation is expressed as:

y = a(x - h)^2 + k

where (h, k) is the vertex of the equation

Given the equation of the parabola as  y = (x - 1)^2 + 2, On comparing;

h = -1

k =2

Hence the vertex of the parabola is (-1, 2)

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What number is 2 hundred 15 tens and 6 one

Answers

The answer is:  "2156" .
_________________________________
(215)*10 + 6*(1) = 2150 + 6 = 2156 .
______________________________________________

i need help to evaluate this p + (-q) - 2 where p = -3 and q =5

Answers

p + (-q) - 2 where p = -3 and q =5
= -3 + (-5) - 2
= -3 - 5 - 2
= -10

hope it helps
the answer would be -10-3-5-2= -10

Write the quadratic equation whose roots are -2 and 3, and whose leading coefficient is 3

Answers

now, if the roots are -2 and 3, that simply means   [tex]\bf \begin{cases} x=-2\implies &x+2=0\\ x=3\implies &x-3=0 \end{cases}[/tex]

now, as far as the leading term's coefficient having a 3, we can simply make it a "common factor" of both terms.

[tex]\bf \begin{cases} x=-2\implies &x+2=0\\ x=3\implies &x-3=0 \end{cases}\implies (x+2)(x-3)=0 \\\\\\ \stackrel{\textit{common factor}}{3}(x+2)(x-3)=\textit{original polynomial} \\\\\\ 3(x^2-x-6)=y\implies 3x^2-3x-18=y[/tex]

1 penny has a mass of 4 grams and is 1.55 millimeters thick. How much mass will a stack of 20 pennies tall have?

Answers

Since each penny has a mass of 4 grams, and we want to find out how much mass 20 pennies has, we do 4 (for 1 penny)*20=80 grams

To find the mass of a stack of 20 pennies, multiply the mass of a single penny by 20.

Mass of a single penny: A single penny weighs around 3 grams on average.

Calculate the total mass: Multiply the mass of a single penny by the number of pennies in the stack (4 grams/penny * 20 pennies).Answer: A stack of 20 pennies will have a mass of 80 grams.

The sum of three consecutive integers is −261−261. Find the three integers.

Answers

Consecutive meanings next to

So x+x+1+x+2=-261
Meaning that 3x+3=-261
3x=-264
X=-88

So the three number are -88,-89-90

Find the domain of each function. (enter your answers using interval notation.) (a) f(x) = 2 4 + ex

Answers

I assume 2 4 is the number 24, so f(x) = 24 + e^x ???

Domain (-co, co)    Range (24, co)

What is the expression for the calculation double 5 and then multiply by 3?

Answers

(2 x 5) x 3

will be your answer for the expression

hope this helps

how can you use absolute value to represent a negative number in a real world situation

Answers

You cannot because distance cannot be negative.

Hope this helps you!

Andrew is planning a tailgate party before the big football game. He has budgeted a maximum of $60 for hamburgers and hot dogs. Hamburgers cost $3 per pound, and hot dogs cost $2 per pound. Write an inequality to describe the possible number of pounds of hamburgers and of hot dogs he can purchase.

Answers

Since 60 dollars is the maximum, the cost (c) has to be equal to or less than 60. Writing that out, we get c≤60. We want to figure out the cost. Since hamburgers are 3$ per pound, if we buy x pounds of hamburgers we pay 3x dollars due to that we add 3 for every hamburger. Similarly, if the amount of hot dogs is y, we have 2y as the cost for the hot dogs. The cost is (cost of hamburgers)+(cost of hot dogs), so c=3x+2y and since c≤60, we plug 3x+2y in for c to get 3x+2y≤60

The inequality that describes the the possible number of pounds of hamburgers and of hot dogs he can purchase is 3x + 2y ≤ 60.

We have,

Let x be the number of pounds of hamburgers that Andrew purchases, and let y be the number of pounds of hot dogs that he purchases.

The cost of x pounds of hamburgers is 3x dollars, and the cost of y pounds of hot dogs is 2y dollars.

According to the problem, Andrew has budgeted a maximum of $60 for hamburgers and hot dogs.

Therefore, we can write the following inequality:

3x + 2y ≤ 60

This inequality describes the possible combinations of x and y that Andrew can purchase, such that the total cost of hamburgers and hot dogs does not exceed his budget of $60.

Thus,

The inequality that describes the the possible number of pounds of hamburgers and of hot dogs he can purchase is 3x + 2y ≤ 60.

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