A builder uses squares to lay out various projects. Write two equations. The first equation should express the area of the square (a) as a function of the length (l) of a side. The second should express the volume of a cube (v) as a function of the length (s) of a side.

Answers

Answer 1
Area as a function of length can be written as

f(l) = l^2

And volume of cube can be expressed as a function of side s as,

f(s) = s^3
Answer 2

Answer:

The area of the square:

a = l²

The volume of a cube:

v = s³


Related Questions

explain why the expression 7x + 5 cannot be factored.

Answers

7 Is a prime factor and ther for it can't be factored to 5 not to mention you dont know what x equals <[( not sure if im right I do know this is a vague answer hopes it helps some what)]>

Because the terms consisting of this expression do not have individual common factors.

To explain why the expression cannot be factored,

What is the factors?

A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.

here,
The given expression is 7x +5,
Since 7x have two multiple as 7 and x,
while 5 does not have a factor,
Comprising,
between,
between 7 x and 5 nothing is a common multiple,

Thus, the terms consisting of this expression do not have individual common factors.

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5x47 solve it mentally

Answers

Hello,

The answer is 235.

Hope this helps!

May
47*5 is 235hope this is what your looking for can you take a look at mine?

Write 8.25 × 103 as an ordinary number.

***** I need an explanation on how do you convert a standard from (without a power of 10) into a normal number.

** Brainliest, approved answer rewarded***

Answers

8.25 * 10^3 = 8250


since ur exponent is positive, u move the decimal to the right...and since the exponent is 3, u move it 3 spaces to the right of ur decimal....8.25...moving the decimal 3 spaces to the right makes ur number 8250
examples :
2.3 * 10^5....move the decimal to the right 5 spaces, = 230000
5.67 * 10^4...move the decimal to the right 4 spaces, = 56700

now if ur number has a negative exponent, u would move ur decimal to the left.
2.3 * 10^-3....move ur decimal to the left 3 spaces, = 0.0023
5.467 * 10^-5....move the decimal 5 spaces to the left, = 0.00005467


Final answer:

To convert 8.25 × 10³ into an ordinary number, move the decimal point 3 places to the right, resulting in 8250. Similarly, for dividing powers of ten, subtract the exponents and divide the coefficients accordingly.

Explanation:

To convert 8.25 × 10³ to an ordinary number, you need to understand how powers of ten work in scientific notation. The exponent on the 10 indicates how many places to move the decimal point. Since the exponent is positive, you will move the decimal point to the right. For 8.25 × 10³, you move the decimal 3 places to the right, giving us 8250.

Now, addressing the division example of 2.4 × 10¹³ divided by 8 × 10⁷, we use the rule that when dividing powers of 10, we subtract the exponents. This gives us 10¹³/10⁷ = 10⁶ (13 minus 7 equals 6). Then we divide the coefficients (2.4 divided by 8 equals 0.3) to get the final answer of 0.3 × 10⁶, or 3 × 10⁵ when we adjust the coefficient to have a single digit before the decimal point.

Help please

50 Points (10 points each) To receive full credit, each of your answers MUST include a correct unit such as mph, miles, hours, etc.

1. Hannah traveled 487 miles during an 11 hour road trip. What was her average speed during the trip (Round to the nearest tenth)?

2. Edward traveled for 8 hours at an average speed of 56 miles per hour. How far did he travel?

3. Maria traveled 687 miles at an average speed of 70 miles per hour. How long was she traveling (Round to the nearest hour)?

4. Jesse traveled for 13 hours at an average speed of 45 miles per hour. How far did he travel?

5. Rachael traveled 216 miles at an average speed of 45 miles per hour. How long was she traveling (Round to the nearest hour)?

Answers

1: 7 mph
 2: 448=distance
 3: 10 hours
 4:  585=distance
 5: 5= hours

1. 44.3 mph

2.448 miles in total

3.he traveled approximately 10 hours

4. 585 miles

5. she was traveling for 5 hours

The group of 15 people orders nine pizzas for a party if the pizzas are shared equally what fraction of a pizza would each person get

Answers

Well you can do 9 ÷ 15 and you will get 0.6 which you can put as 1/6 but as in this form it will be 6/10 so my best guess is each person will get 6 slices (it also depends how many slices there are in the box)

Frank earns $57,100 one year and receives a 7% raise in salary.what is his new salary?

Answers

you need to multiply 57100 by 0.07 = 3997
and then add 3997+57100 = $61,097

is (3)(4)+xy equivalent to 3x+4y

Answers

no it is not because the x's and y's wouldnt be the same because on the left it would be 12+xy not 3x+4y

is 34 + x = 46; x = 12 a solution or an equation?

Answers

A solution because you plug it into the equations and you'd get 46.
It is a solution. It is giving you an answer. If you plug 12 in the equation makes it correct. You know 34+12=46.

Find the scale factor of the line segment dilation.

AB: endpoints (−6, −2) and (−6, 8) to A'B': endpoints at (−6, 0) and (−6, 5), centered at the (−6, 2)

a) -2
b) -1/2
c) 2
d) 1/2

Answers

AB: endpoints (−6, −2) and (−6, 8) to A'B': endpoints at (−6, 0) and (−6, 5), centered at the (−6, 2)

a) -2
b) -1/2
c) 2
☆☆☆☆☆☆☆d) 1/2

Find the x-intercept of the line:
2x + 4y = 8
Question 4 options:
a) (2,4)
b) (0,2)
c) (4,0)
d) (4,2)

Answers

2x+4y=8
-2x       -2x 
4y=-2x+8
/4    /4   /4
y=-1/2x+2
The X- intercept is (4,0).

A taxi company charges passengers $1.00 for a ride, and an additional $0.30 for each mile traveled. The function rule C = 0.30m + 1.00 describes the relationship between the number of miles m and the total cost of the ride C. If the taxi company will only go a maximum of 40 miles, what is a reasonable graph of the function rule?

Answers

Answer: The graph of the function is shown below,

The given function is,

[tex]C=0.30m+1.00[/tex]

Where C is the cost and m is the distance in miles and it is a linear equation.

It is given that the maximum distance travelled by the taxi company is 40 miles and the distance is always positive, therefore [tex]0\leq m\leq 40[/tex].

The total cost of the company at initial distance means at m=0 is,

[tex]C=0.30(0)+1.00=1.00[/tex]

The total cost of the company at maximum distance means at m=40 point is,

[tex]C=0.30(40)+1.00=12.00+1.00=13.00[/tex]

So, [tex]1\leq C\leq 13[/tex].

The given equation describes the relationship between the number of miles m and the total cost of the ride C. The miles are independent variable and C is the dependent variable.

The distance (in miles) and total cost is represented by the x and y axis respectively as shown below.

Final answer:

The graph of the function C = 0.30m + 1.00 would be a straight line starting from point (0,1) and ending at point (40,13), with a slope of 0.30, reflecting the cost per mile and the initial flat rate.

Explanation:

The function C = 0.30m + 1.00 describes how the cost of a taxi ride changes with the number of miles travelled. Here, 'C' represents the total cost (in dollars) and 'm' represents miles. The number 0.30 represents the cost per mile, and the 1.00 represents the initial cost regardless of distance traveled.

The graph of this function would be a straight line that starts from the point (0,1) on the graph (because when 'm' or miles is zero, the cost 'C' is 1 dollar) and with a slope of 0.30 (because for every mile, the cost increases by $0.30). Therefore, the line would go upwards and have a slope of 0.30. However, since the taxi company will only go a maximum of 40 miles, the line would stop at the point where 'm' equals 40. At 40 miles, the cost 'C' would be [tex]0.30*40 + 1 = $13.00.[/tex]


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What does 10/2-3(5•0) equal to?

Answers

Quick answer 5.

Start with what is inside the brackets.

5*0 = 0

10/2 - 3(0) Anything times 0 is 0. the three disappears.

10/2 = 5 And that is your answer.

Write the standard form of the line that passes through the point (1, 5) and is parallel to the x-axis. Include your work in your final answer. Type your answer in the box provided or use the upload option to submit your solution.

Answers

the x axis is horizontal line.....a horizontal line has a slope of 0. A parallel line will have the same slope.
A horizontal line is represented by x = a number...with that number being the y coordinate of ur points. So ur parallel equation is : y = 5.....but we need it in standard form.....0x + y = 5

Answer:

Equation of line passing through the point (a,b) and having slope m is given by :

 →   [tex]\frac{y-b}{x-a}=m[/tex]  

Equation of X axis is , y = 0

i.e slope , m= 0

Any line parallel to x axis have slope = 0

Equation of line passing through the point (1,5)  and parallel to X axis is given by :

→ y - 5 = m( x -1)

As , m=0

→ y -5 = 0× (x-1)

→ y- 5= 0

y = 5 [ Final Answer]



once a commercial plane reaches a the desired altitude, the pilot often travels at a crusing speed. on average, the cruising speed is 570 miles/hour. if a plane travels at this cruising speed for 7 hours, how far does the plane travel while cruising at this speed?

Answers

3990 Because multiply 570 by 7 and you will get your answer also my dad flies jets. Hope this helps:)

what is the value f(-4)?
{-10 if x < -5
{x cubed if -5 less than or equal to x less than or equal to < 2
{2x + 4 if x > 2

a. -10
b. -12
c. -64
d. -4

Answers

Answer: choice C) -64

-------------------------------------
-------------------------------------

This is a piecewise function. The function f(x) will change based on what x happens to be. There are 3 different cases here

Case A: f(x) = -10
Case A is only true if x < -5

Case B: f(x) = x^3
Case B is only true if -5 <= x <= 2
The symbol "<=" without quotes means "less than or equal to"

and finally, 
Case C: f(x) = 2x+4
Case C is only true if x > 2

-------------------------------------

We want to find the value of f(-4) meaning we want to find the value of f(x) when x = -4

Look through the inequalities and see where x = -4 fits

does x = -4 make x < -5 true? In other words, is -4 smaller than -5? In other words is -4 to the left of -5? The answer to all of these questions is a simple "no"

So we move on. Check the second inequality -5 <= x <= 2 and sure enough -4 is between those two endpoints. So we'll use the second function

We will use f(x) = x^3

f(x) = x^3
f(-4) = (-4)^3 .... every x has been replaced with -4
f(-4) = (-4)*(-4)*(-4) ... expand out the cubic
f(-4) = ((-4)*(-4))*(-4)
f(-4) = (16)*(-4)
f(-4) = -64

Which is our final answer

Beth poured the same amount of juice into 10 glasses she use to quarts of juice how much juice is in each class

Answers

Do you mean two quarts?
If so,

(2 qt)/10 = 2/10 qt = 1/5 qt

She poured 1/5 qt in each glass.

46/23 in simplest form

Answers

Answer:

46/23 = 2/1 = 2

Step-by-step explanation:

Factor the polynomial: b^3 - 5b^2 - 4b + 20

Answers


b^3 - 5b^2 - 4b + 20

b^2(b - 5) - 4(b - 5)

(b - 2)(b + 2)(b - 5)




Numbers a,b,c,d are positive integers, theirs product is 128. What is their sum?

Answers

There's actually multiple solutions:

16*2*2*2 = 128, sum is 22
4*4*4*2 = 128, sum is 14
8*2*2*4 = 128, sum is 16

Catie used 68 beads on 17 in of wire. She used 7 in of wire for one bracelet. Predict the number of beads she used on 7 in of wire. EXPLAIN

Answers

Catie used 28 beads on the 7 in. wire because when you divide 68÷17 you get 4 which means that she used 4 beads every 1 in. Then you multiply 4×7 because that's how much we need to figure out and you get 28.

After the charity walk, Janey talked with friends from 11:25 A.M to 11:40 A.M Then lunch was served from 11:45 A.M until 2:10 P.M How long did lunch last?

Answers

2 hours 25 minutes. Hope this helped.

What are the two numbers less than 20 with the most factors

Answers

I think it's 12 and 18.
They both have 6 factors.

Final answer:

The two numbers less than 20 with the most factors are 12 and 18, as each of them has six factors.

Explanation:

The question you're asking pertains to identifying the two numbers less than 20 that have the most factors. To find the numbers with the most factors, we list the number of factors for each number less than 20 and determine which have the most. Factors are the numbers you can multiply together to get another number. For example, 2 and 5 are factors of 10 because 2 x 5 = 10.

The number 12 has the factors 1, 2, 3, 4, 6, and 12, totaling 6 factors. On the other hand, the number 18 has the factors 1, 2, 3, 6, 9, and 18, also totaling 6 factors. Hence, the two numbers with the most factors less than 20 are 12 and 18, each with six factors.

Ann had 75 fliers to post around town. Last week, she posted 2/5 of the fliers. This wee, she posted 2/3 of the fliers. How many fliers did not get posted?

Answers

75/5=15 so 1/5=15, and 2/5 would be 30 (week 1);  75-30=45 remaining.  45/3=15 so 1/3=15, and 2/3 would be 30 (week 2);  45-30=15 did not get posted
Hello!

You must multiply, subtract, and divide for this question:

75/5 = 15

15 * 2 = 30

75 - 30 = 45

45/3 = 15

15 * 2 = 30

45 - 30 = 15

So, 15 flyers did not get posted.

I really hope this helped you! :)

A set of data is described as:

The data is around 8. If another measurement were taken, it would probably be around 8.

Which group of measures would lead to this conclusion?

A. Range - 12

Mode - 8

Median - 9

Mean - 9

B.Range - 4

Mode - 9

Median - 9

Mean - 9

C. Range - 6

Mode - 9

Median - 8

Mean - 8

D. Range - 5

Mode - 9

Median - 7

Mean - 7

Answers

Answer:

b

Step-by-step explanation:

Final answer:

The data set that matches the description best is Option C where both the median and the mean are 8, indicating a centrality of data around 8. This is the system, in other measures like range and mode, showing that if another measurement was taken, it would likely be around 8.

Explanation:

The set of data described - data is around 8 and another measurement would also probably be around 8, can be best represented by Option C. In this option, the median is 8 and the mean is also 8. This signifies that the data is centered around 8 meaning, the typical value in the data set is around 8 and the average of all values is 8. If another measurement were to be taken at random, the most likely result would be close to this central value of 8.


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1. Judy took $30 with her to spend on popcorn and drinks for herself and her friends at the movie theater. The price for each bag of popcorn was $5. The price of each drink was half the price of a bag of popcorn. 2. Graph the piecewise function

Answers

$30.00 is what Judy brought
$5.00 is the cost per popcorn
$2.50 was the cost per drink

Hope this helps

I made the graph myself

A farmer has 113 sheep. 47 of them are males. How many more female sheep are there than male sheep?

Answers

Considering the rest of the sheep are females, you just subtract 47 from 113.

Answer:

19

Step-by-step explanation:

What is the least common denominator of 1/3 and 3/5?

62 POINTS AND BRAINLIEST PLS HELP

Answers

Multiply the denominators 3 and 5 to get 3*5 = 15

Divide the result over 1 since 1 is the GCF of 3 and 5
15/1 = 15

Therefore the lowest common denominator (LCD) is 15

Answer: 15

A baseball team has $1,400 to buy baseball uniforms. Each uniform costs $124. Does the team have enough money to buy 11 baseball uniforms? Use the drop-down menus to explain. The total cost for 11 uniforms is____Since___ is____ $1,400, the team_____enough money to buy 11 uniforms.

Answers

multiply the cost of each by the amount needed

124 *11 = $1,364 ( total cost)

 1364 is less than 1400 so they do have enough money

PLEASE ANSWER ASAP (10 Pts)
Solve for x.
x+3.2=−3.5
Enter your answer as a decimal in the box.

Answers

x + 3.2  = - 3.5
   -3.2        -3.2

x = - 6 . 7 
the answer to this question  is -6.7

Bessy has 8 times as much money as Bob, but when each earns $4, Bessy will have 4 times as much money as Bob. How much does each have before and after earning the $4?

Answers

Bessy has 32 dollars and Bob has 4 dollars before "Bob" earns 4 dollars and then Bessy has 32 dollars and Bob has 8 dollars after Bob gets 4 dollars.
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