By using **differentials** the **error** in the **volume estimation** is 7.29 cubic centimeters.

What is the error of the computed volume of the cube?

The **volume** of a **cube** (V), in cubic centimeters, is equal to the cube of the **side length** (L), in centimeters, whose formulas are:

V = L³

Now we proceed to estimate the **volume differential** by using first **derivatives**:

dV = 3 · L² · dL

Where dL is the **length differential**, in centimeters.

If we know that L = 9 cm and dL = 0.03 cm, then the error in the computed volume of the cube is:

dV = 3 · (9 cm)² · (0.03 cm)

dV = 7.29 cm³

The **error** in the **volume estimation** is 7.29 cubic centimeters.

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PLEASE HELP I HAVE 3 MINUTES, THANK YOU!!

**Answer:**

-4 + -10

**Step-by-step explanation:**

Even with an addition sign, it still adds up to the same amount.

Hope this helps!

(Btw, if u get this right, pls do brainliest, I really need it! Thanks!)

The amount Abigail Frump makes, in dollars, working h hours can be represented by the expression 18h + 8. Abigail hopes to get a raise that

can be represented by the expression 2h + 32. Write an expression that represents how much Abigail will make working h hours if he gets the

raise. How much will he make for working 6 hours?

18h+8+2h+32. Combine like terms.

20h+40. Equation for how much being made. Substitute 6 hours in for h.

20(6)+40

120+40

**$160 a day**

20h+40. Equation for how much being made. Substitute 6 hours in for h.

20(6)+40

120+40

**$160 a day**

A small business that makes candles uses a proportional amount of essential oil and wax. For 208 ounces of wax, they use 8 ounces of essential oil.

How many ounces of essential oil is needed for 728 ounces of wax?

12.5 ounces

28 ounces

42 ounces

91 ounces

**Answer:**

B, 28.

**Step-by-step explanation:**

728 divided by 208, which is 3.5. then you multiply 3.5 & 8 to get 28.

**The answer above me has the answer.**

**Step-by-step explanation: He is 101% confident its it and I back it up because got it right (he should've been 102% confident tho)**

Find the value of the monomial.

-8m^4 n^4 for m = 0.5 and n =2

The value of the given **monomial**, -8[tex]m^{4}n^{4}[/tex], when m = 0.5 and n = 2 is -8.

According to the question,

We have the following monomial:

-8[tex]m^{4} n^{4}[/tex]

We have m = 0.5 and n = 2.

Now, putting these **values **of m and n in the monomial:

-8 [tex](0.5)^{4} (2)^{4}[/tex]

(Please note that when a power is there on a number then it means that to solve the expression we have to multiply the base as many times as the given power. For example, in this case, we will multiply 2 four times and the result will be 16. This concept is applicable to every **expression **we are solving whether the base is in decimal or in fraction or a integer.)

-8*0.0625*16

-128*0.0625

-8

Hence, the value of the given monomial is -8.

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Select the correct answer. dudley is biking. he wants to cover 40 miles. if he travels 30 miles every 2 hours, what is the equation of a line that models y, the number of miles he has left to travel, after biking x hours? a. y = -15x â€" 40 b. y = -30x 40 c. y = -15x 40 d. y = 30x â€" 40

The **equation **will be y = -15x + 40

**Equations** help us to understand a particular problem better, they give us possible insights into the situation. **Equation Formation** is an important aspect of Mathematics. We can form equations on the basis of the information given and then analyze it.

Given:

The biker, Dudley wants to** travel **40 miles.

It is given that he **travels** 30 miles every 2 hours.

Obtaining Equation,

Distance traveled in 2 hours = 30 miles

Then, distance **traveled **in x hours = [tex]\frac{30}{2}*x = 15x[/tex]

So, the remaining distance to cover = 40 - 15x

or y = 15x - 40

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Combinatorics is a branch of math focused on arrangements of objects. Jorge is an event organizer who must seat 102 guests. He has circular tables that seat 10 people each and square tables that seat 4 people each. He wants to use as many circular tables as possible but have no empty seats. Explain how he could arrange the tables he will need.

Explain how Jorge could arrange the tables he will need

To **maximize **the number of **circular tables**, he must thus employ 9 circular tables and 3 **square tables**.

**Combinatorics **is a branch of **math **focused on the **arrangements **of objects.

Estimates of the **number **of **operations **needed by a **computer** **algorithm** can be created using **combinatorial **approaches.

It is given that the number of persons in each **circular table** and the **square table **will be 10 and 4 respectively.

We now need to determine the largest **multiple **of 10 in order to maximize the number of **circular tables**.

Now, if we take 100, there will only be 2 seats left. However, 4 people are needed for **square tables**. Therefore, 100 is incorrect.

The **circular tables **utilized would be if we choose 90 as a **multiple **of 10 is,

= 90 / 9

= 10

Number of guests left,

=102 - 90

= 12

12 is a multiple of 4 as a result 3 square tables may therefore fit 12 people,

=4 × 3

=12

Thus, to **maximize **the number of **circular** **tables**, he must thus employ 9 circular tables and 3 **square tables**.

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A store owner mixes 2 lb of candy that cost x dollars per pound with 3 lb of candy that costs $1.50 per pound. She sells the mix for $2.50 per pound.

1. How much did the 2 lb of the first type of candy cost the owner?

2. How much did the 3 lb of the second type of candy cost the owner?

3. How much did the two types of candy cost the store owner in total?

4. How much money will the store owner get if she sells all of the new mixture?

5. Write an equation to find the cost per pound of the first candy

6. Solve the equation to find the owners cost of the first candy per pound

**Answer:**

1. How much did the 2 lb of the first type of candy cost the owner?

2x

2. How much did the 3 lb of the second type of candy cost the owner?

3*1.5 = 4.5

3. How much did the two types of candy cost the store owner in total?

2x + 4.5

4. How much money will the store owner get if she sells all of the new mixture?

(2 + 3)*2.5 = 12.5

5. Write an equation to find the cost per pound of the first candy

2x + 4.5 = 12.5

6. Solve the equation to find the owners cost of the first candy per pound

2x + 4.5 = 12.5

2x = 8

x = 4

a^-1 = ?

A. -a

B.√ a

C. 1/a

**Answer: C**

**Step-by-step explanation:**

This is the definition of a negative exponent.

Charmaine has b decks of cards. Each deck has 52 cards in it. Using b, write an expression for the total number of cards Charmaine has

**Answer:**

**Step-by-step explanation:**

52 + b = 52b or 52(b = 52b ( means x

Let f(x) = (6x³ - 7)³ and g(x) = 6x³ - 7.

Given that f(x) = (h° g)(x), find h(x).

0080

Clear all

Enter the correct answer.

+?

DONE

When the result of one function is utilized as the **input **for another, this is known as a **composite function**. If f(x) = (6x³ - 7)³ and g(x) = 6x³ - 7 then the value of** h(x) = x³.**

A function is **composed **in mathematics when two functions, f and g, are used to create a **new function**, h, such that h(x) = g(f(x)). The function of g is being applied to the function of x, in this case. Therefore, a function exists essentially applied to the output of another function.

**Function composition **is an operation used in mathematics that takes two functions, f and g, and creates a function, h = g ° f, such that h(x) = g. The function g is applied in this **operation **on the outcome of applying the function f to x.

Let the two functions be f(x) = (6x³ - 7)³ and g(x) = 6x³ - 7.

f(x) = (h° g)(x)

⇒ f(x) = (h(g(x))

If f(x) = (h° g)(x) (6x³ - 7)³ = (h(g(x)) then h(x) = x³.

The complete question is:

Let f(x) = (6x³ - 7)³ and g(x) = 6x³ - 7. Given that f(x) = (h° g)(x), find h(x).

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**Answer:**

h(x) = x³

**Step-by-step explanation:**

Given:

[tex]f(x)=(6x^3-7)^3[/tex]

[tex]g(x)=6x^3-7[/tex]

[tex]f(x)=(h \circ g)(x)[/tex]

The relationship between f(x) and g(x) is that function f is function g **cubed**:

[tex]f(x)=(g(x))^3[/tex]

(h o g)(x) means we replace the x-variable of function h(x) with function g(x). So:

[tex](h \circ g)(x)=h(g(x))[/tex]

If (h o g)(x) equals f(x), then h(x) must be **h(x) = x³**.

Check by replacing the x-variable of function h(x) with the function g(x) and comparing it to f(x):

[tex]\begin{aligned}(h \circ g)(x)&=h(g(x))\\&=(g(x))^3\\&=(6x^3-7)^3\\&=f(x)\end{aligned}[/tex]

Hence proving that **h(x) = x³**.

Do number 6 please thank you!

ANSWER: 5 Rows

EXPLANATION:

The pattern subtracts by 2, 4, 6, 8, 10

Row 5 = 10 cans (18-8)

There’s no row 6 because 10-10 is 0

That said there’s 5 rows

EXPLANATION:

The pattern subtracts by 2, 4, 6, 8, 10

Row 5 = 10 cans (18-8)

There’s no row 6 because 10-10 is 0

That said there’s 5 rows

This is the exercise I have to do to practice for my GED I’m a six year old woman I’m trying to figure this out I know I have inserted in the formula and it says just like example 3 I will insert example 3 in the text hereA survey indicates that for each trip to a supermarket, a shopper spends an average of 43 minutes with a standard deviation of 12 minutes in the store. The lengths of time spent in the store are normally distributed and are represented by the variable X. A shopper enters the store. Find the probability that the shopper will be in the store for each interval of time listed below. a) Find the probability that the shopper will be in the store between 33 and 66 minutes.b)) Find the probability that the shopper will be in the store for more than 39 minutes. Hint: Convert the normal distribution X to Standard normal using Z formula Z=(X-μ)/σ and then look the Z-values from the table and then find the probability.Hint: Convert the normal distribution X to Standard normal using Z formula Z=(X-μ)/σ and then look the Z-values from the table and then find the probability.Please help me answer properly so I can start the exercise so I can be fish prayers for the GED practice course

Given:

The lengths of time spent in the store are normally distributed and are represented by the variable X

The survey indicates that for each trip to a supermarket, a shopper spends an average of 43 minutes with a standard deviation of 12 minutes in the store.

so, the mean = μ = 43

And the standard deviation = σ = 12 minutes

We will find the probability that supermarkets between 31 and 58 minutes

We will use the following formula to convert to the z-scores

[tex]Z=\frac{(X-μ)}{σ}[/tex]So, we will find Z when x = 31 and When x = 58

[tex]\begin{gathered} x=31\rightarrow z=\frac{31-43}{12}=\frac{-12}{12}=-1 \\ \\ x=58\rightarrow z=\frac{58-43}{12}=\frac{15}{12}=1.25 \end{gathered}[/tex]So, we will find the probability of P (-1 < z < 1.25)

From the tables of the z-score:

[tex]P(-1So, the answer will beAcoording to the school survery, 20% of the students at rockwood junior high school speak spanish. There are 25 students at the school who speak spanish. How many students were surveyed?

The **percentage** is that indicating the hundredth total number of **students surveyed **such that **20%** of them are 25 will be **125.**

**What is the percentage?**

The **percentage** is defined as a given amount in **every hundred**. It is a fraction with **100 as the denominator** percentage is represented by the one **symbol %**.

Let's suppose the total number of students that are surveyed was x.

It is known that x% of y is given as, (x/100)y.

Therefore,20% of x is (20/100)x = 0.2x

The 20% of the total students is 25.

So, 0.2x = 25

x = 25/0.2 = 125

Hence "The percentage is that indicating the hundredth total number of students surveyed such that 20% of them are 25 will be 125".

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The graph below shows the solution to which system of inequalities?

A.y > –3 and y ≤ –x

B.y ≥ –3 and y ≤ –x

C.x ≥ –3 and y > –x

D.x > –3 and y ≥ –x

The correct option is A, the **system of inequalities** is:

On the graph, we can see two lines.

One is a **dashed line** (so we need to use the symbols > or < ) and it is horizontal, such that the line is:

y = -3

And the **shaded region** is above that line, so the **inequality **is:

y > -3.

The other inequality is below a line y = -x, and we can see that the line is solid (so we use the symbols ≤ or ≥).

Then here the **inequality **is.

y ≤ -x

Then the **system of inequalities** is:

y > -3.

y ≤ -x

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Juanita used the steps shown below to correctly solve an equation. A step is missing.

-3(c-6) + 4c = 5(2c + 9)

?

c+ 18 = 10c +45

c-27 = 10 c

-27= 9c

-3 = c

O-3c-6 + 4c = 10c + 9; associative property of addition

O-3c+ 18+ 4c = 10c + 45; associative property of addition

O-3c-6 + 4c = 10c + 9; distributive property

O-3c + 18+ 4c = 10c +45; distributive property

**Answer: Option (D) property of distribution**

**Step-by-step explanation:**

**got it right on test**

you are choosing between two different cell phone plans. the first plan charges a rate of 23 cents per minute. the second plan charges a monthly fee of $34.95 plus 10 cents per minute.

You will need to use at least 267 minutes in a month in order for the **second plan** to be **preferable**.

Given the following:

First plan=23 cent per minute

Second plan=$34.95 plus 10 cents per minute

Calculate the number of mins to use in a month to make second plan preferable:

We first change $34.95 to cents:

1 usd=100 cents

$34.95=($34.95*100 cents)/$1

=3495 cents

Second plan will now be 3495 plus 10 cents per minute

Now, calculate the number of mins to use:

Let **x represents** the number of mins, now 23 cent per minute will be:

23(x)>3495 plus 10 cents per minute

23x>3495+10x

23x-10x>3495

13x=3495

x=3495/13

x>268.85 mins

Therefore, one will need to use at least 267 minutes in a month in order for the second plan to be preferable.

The question is incomplete, complete question is given below:

You are choosing between two different cell phone plans. The first plan charges a rate of 23 cents per minute. The second plan charges a monthly fee of $34.95 plus 10 cents per minute. How many minutes would you have to use in a month in order for the second plan to be preferable?

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compare 7.3 and 12 use <,>, or =.

**Answer: 7.3 < 12**

**Step-by-step explanation:**

Help please !! due at 8pm tonight

**Answer:**

y=-3x+7

**Step-by-step explanation:**

:]

**Answer:**

Y=-3x+7

**Step-by-step explanation:**

Use rise/run

Kim buys 6 pounds of apples.

What is the weight of the apples in kilograms?

Round to the nearest tenth, if necessary.

Answer: 2.7 kg

1 kilogram (kg) = 2.204623 pounds (lb)

[tex]\frac{6 lb}{1}[/tex] × [tex]\frac{1 kg }{2.204623 lb}[/tex] = 2.721553753 kg

You place 1 kg over 2.204623 lb since they are equal. In the above equation, the *pounds* (*lb) *cancel out since one is in the numerator (the number on top of the fraction) and one is in the denominator (the number on the bottom of the fraction). You multiply 6 by the 1 in the numerator and multiply the 1 in the denominator by 2.204623. This turns the equation into:

[tex]\frac{6 kg}{2.204623}[/tex] =2.721553753 kg

You divide 6 by 2.204623 to get 2.721553753

To round to the tenths place, you include only the first number to the right of the decimal, which is 7. Since the number to the right of the 7 is less than five, it stays 7. If it were five or bigger, 7 would turn into 8.

The answer: 2.7 kg

Help it was due yesterday

**Answer:**

10

**Step-by-step explanation:**

486-466 = 20

1/2 x 20 = 10

:]

**Answer:**

an expression that equals 10

**Step-by-step explanation:**

486 - 466 = 20

1/2 of 20 is 10

You don't list choices.

You need an expression that equals 10.

What is 4/5 the sum of w and z given that w = 12 and z = 43

[tex] \frac{4}{5} (w + z) \\ = \frac{4}{5} (12 + 43) \\ = \frac{4}{5} (55) \\ = 4(11) \\ = 44[/tex]

ATTACHED IS THE SOLUTION

A parking garage in the city charges $2.75 for the first hour and $1.25 for each additional hour, x. Write and solve an inequality to find the maximum time of additional hours that Tony can park his car at the garage if he wants to pay less than $8. and i have another question

.The inequality is given by:

[tex]2.75+1.25t<8[/tex]Subtract 2.75 from both sides of the inequality:

[tex]\begin{gathered} 2.75-2.75+1.25t\lt8-2.75 \\ 1.25t\lt5.25 \\ \text{ Divide both sides by }1.25 \\ \frac{1.25t}{1.25}\lt\frac{5.25}{1.25} \\ t\lt4.2 \end{gathered}[/tex]Therefore, the maximum time of additional hour is **4**

**Answer:**

4 hours

**Step-by-step explanation:**

→ Write inequality

2.75 + 1.25x < 8

→ Minus 2.75 from both sides

1.25x < 5.25

→ Divide both sides by 1.25

x < 4

Hakim drew a scale drawing of a neighborhood park. he used the scale 5 inches : 2 yards. a soccer field in the park is 130 inches wide in the drawing. how wide is the actual field?

**Answer:**

52 yards across

**Step-by-step explanation:**

130/5 = 26

26*2 = **52 yards across**

The area of a bulletin board is 55 square feet. The length is

four feet more than three times the width. Find the length

and width of the bulletin board.

**Step-by-step explanation:**

it is a rectangle.

the area is a rectangle is

length × width

in our case

length × width = 55 ft²

length = 3×width + 4

we use that in the first equation :

(3×width + 4)×width = 55

3×width² + 4×width - 55 = 0

the general solution to a quadratic equation like

ax² + bx + c = 0

is

x = (-b ± sqrt(b² - 4ac))/(2a)

so,

width = (-4 ± sqrt(4² - 4×3×-55))/(2×3) =

= (-4 ± sqrt(16 + 660))/6 = (-4 ± sqrt(676))/6 =

= (-4 ± 26))/6

width1 = (-4 + 26)/6 = 22/6 = 11/3 = 3 2/3 ft

width2 = (-4 - 26)/6 = -30/6 = -5

negative numbers for the size of a physical object don't make sense, so

11/3 = 3 2/3 ft is our solution.

length = 3×width + 4 = 3×11/3 + 4 = 11 + 4 = 15 ft

so,

the length = 15 ft

the width = 3 2/3 ft (or 11/3 ft)

Solve the system of equations.

**Answer:**

b

**Step-by-step explanation:**

because you need ti 2x +

Using a map, Sasha measures the distance between the city in which she lives and her vacation destination to be 450 miles. She assumes that she may be off by 30 miles in her estimation.

What equation can Sasha use to determine the minimum and maximum distance her city is from her vacation destination?

Drag numbers or symbols to the boxes to correctly complete the equation.

The **equation**** **that** ****Sasha** can use to determine the minimum and maximum distance her city is from her **vacation** destination is 450 + 30 and 450 - 30.

It should be noted that an **equation** is simply used to illustrate the relationship between the **variables** that are illustrated or given in the data.

It should be noted that for the **minimum** distance, she has to subtract 30 miles from the vacation **destination**.

The **minimum** value will be:

= 450 - 30

= 420. miles.

For the maximum **distance**, she has to add 30 miles from the **vacation** destination.

The **maximum distance** will be:

= 450 + 30

= 480 miles.

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can someone please help solve this math problem with solution? thank u!

===================================================

Work Shown:

[tex]\frac{n^2+n-6}{n-2}\\\\\frac{(n+3)(n-2)}{n-2}\\\\n+3[/tex]

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

Explanation:

Often when simplifying, it's a good idea to factor and see what cancels (if anything does cancel).

To factor the numerator, think of two numbers that

multiply to -6add to 1Through trial and error, you should find the two numbers to be 3 and -2

3 times -2 = -63 plus -2 = 1So that's how [tex]n^2+n-6[/tex] factors to [tex](n+3)(n-2)[/tex].

After this point, the (n-2) terms cancel leaving **n+3** behind

We can say [tex]\frac{n^2+n-6}{n-2}=n+3 \ \ \text{when } n \ne 2[/tex]

The [tex]n \ne 2[/tex] is to avoid a division by zero error.

2) Are the triangles similar? If so, what is the scale factor which converts ARPQ to AVAQ?

A)NO

B)YES;1/2

C)YES;2/3

D)YES;2/1

1/2 is the** factor** which converts right angled triangles ΔRPQ to ΔVAQ

**Triangle:** A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane

Both the triangles are **right angled **triangles at ΔVAQ and ΔRPQ

side AV=3 units and AQ=4 units

side RP=6 units and PQ=8 units

AV is half of RP and AQ is half of PQ

AV=1/2(RP) and AQ=1/2(PQ)

1/2 factor **converts **ΔRPQ to ΔVAQ

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What is the answer to this eqaution 7.68+3.18÷12

Answer:

7.945

Explanation:

Math

7.945

Explanation:

Math

the difference of the product of 4 times a number and 2/3 is 34 / 3

**Answer: x=3**

**Step-by-step explanation:**

[tex]\displaystyle\\4x-\frac{2}{3}=\frac{34}{3}\\[/tex]

**Multiply both parts of the equation by 3:**

[tex]4x(3)-2=34\\12x-2=34\\12x-2+2=34+2\\12x=36[/tex]

**Divide both parts of the equation by 12:**

[tex]x=3[/tex]

The unknown **number** from the equation is 3.

In mathematics, an **equation** is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, the **difference** of the product of 4 times a number and 2/3 is 34/3.

Let the unknown number be x.

4x-2/3 =34/3

(12x-2)/3=34/3

12x-2=34

12x=36

x=3

Therefore, the unknown **number** is 3.

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Question 2 of 25The coach of a college basketball team categorizes the number of pointsscored by the team in each game, with the categories being 51 - 57, 58 - 64,65 - 71, and 72 or more. If the following data represent the numbers ofpoints scored in the last 10 games, how many games were in the 51 - 57category?51, 70, 63, 59, 56, 75, 60, 55, 67, 64O A1B. 2O c. 4O D. 3
Explain how travelling to a ski resort to go skiing could influence travel time
the piano played a crucial role in 19th-century musical culture.a. Trueb. False
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yo can anyone help me solve this rq i need it for tomorrow
Read each of the sentences that describe a phase of mitosis. Drag each sentence number onto the correct place on the diagram.Sentence 1: The cytoplasm pinches in half.Sentence 2: The centromeres of the duplicated chromosomes line up across the center of the cell.Sentence 3: The cell grows and replicates its DNA and centrioles.Sentence 4: The chromosomes which were distinct and condensed begin to spread out into a tangle of chromatin.Sentence 5: The genetic material inside the nucleus condenses and the duplicated chromosomes become visible.Sentence 6: The chromosomes separate and move along spindle fibers to opposite ends of the cell.6,2,5,1,3,4
the table shows the cost and revenue information for a perfectly (or purely) competitive firm that produces external hard drives. use whole numbers to answer the six questions. quantity (units) fixed cost ($) variable cost ($) total revenue ($) 10 100 36 1,000 11 100 74 1,100 12 100 145 1,200 13 100 202 1,300 14 100 300 1,400 15 100 435 1,500 16 100 588 1,600 17 100 774 1,700 what is the marginal revenue received from the 11th unit? $ what is the marginal cost of producing the 11th unit? $ what price does this firm charge for each hard drive? $ per unit how many units should this firm produce to maximize profits? units when profit maximizing, what is this firm's profit?
The measures of the angles of a triangle are shown in the figure below. Solve for x.4634x
Question 4 of 10A biology class observed monarch caterpillars over several weeks. On thefirst day, the caterpillars were 2 mm in length. The caterpillars ate milkweedleaves. After 14 days, the caterpillars were 30 to 40 mm in length. Which twocharacteristics of life did the caterpillars demonstrate?A. Obtaining matter and energyB. Growth and developmentC. ReproductionD. Evolution
-3(v + 2) - 2v simplify and use distributive property
Write the equation of the line that goes between the two points (6, -5) and (2, 3).
Why do you think delancey used phrases common to the Iroquois to make a union between the colonists and Iroquois nations?
The relative atomic mass of iridium is 192.22. Explain whether a naturally occurring sample of iridium contains more 191Ir or 193Ir