Which expression is a difference of cubes?
9w33 - y12
18p15-q21
36a22-b16
64c15 - d27

Answer: 28/3 hours

Step-by-step explanation:

From the question, Kim and Josh can clean a house together in 3 hours while Kim alone uses 7 hours to clean the house by herself.

Kim's hourly rate will be to clean the house = 1/7 per hour.

In 4 hours:

Kim will have completed = 1/7 × 4 = 4/7 of the house

This mean that Josh completes:

1 - 4/7 = 3/7 of the house.

Josh's hourly rate will now be:

1/4 × 3/7 = 3/28 of the house per hour.

From Josh to clean the house alone, he will use:

= 1 ÷ (3/28)

= 1 × 28/3

= 28/3 hours

Josh will use 28/3 hours to clean the house alone?

Answer:

120 pizzas

Step-by-step explanation:

Answer:

\(0.75 {ms}^{ - 2} \)

Step-by-step explanation:

\(acceleration = \frac{velocity}{time} \\ = \frac{15ms ^{ - 1} }{20s} \\ = \frac{3}{4} ms ^{ - 2} \\ = 0.75 {ms}^{ - 2} \)

\(\Large\rm{\underbrace{\green{ \: Acceleration \: = \: \ \frac{v}{t} \: }}}\)

\( \bf \large \implies \: Acceleration \: = \: \frac{15}{20} \\ \)

\(\bf \large \implies \: Acceleration \: = \: \cancel\frac{15 \: \small \: m /s }{20 \: s} \: = \: \frac{3}{4} \: m /s ^{ - 1} \\ \)

\(\bf \large \implies \: Acceleration \: = \: \cancel\frac{3}{4} \:m /s ^{ - 1} \: = \: 0.75 \: \: m /s ^{ - 1} \\ \)

\( \bf \large \implies \: \: Acceleration \: = \: 0.75 \: \: m /s ^{ - 1} \\ \)

f(x) = ax² + bx + c is a quadratic function, and a parabola is a U-shaped curve. The parabola's graph is downward when the value of an is less than zero, or a zero (or opens down).

Any point on a parabola is equally separated from both the focus, or predetermined point, and the fixed straight line (known as the directrix).

Parabola is a subject of conic sections, and all of its concepts are covered here. The form of a banana is similar to a parabola.

The Rainbow is forming a shape resembling a parabola. Antennas with a parabolic dish resemble a parabola. Mirror's concave surface.

Parabolas come in three main varieties. The three types are intercept form, standard form, and vertex form.

f(x) = ax² + bx + c is a quadratic function, and a parabola is a U-shaped curve. The parabola's graph is downward when the value of an is less than zero, or a zero (or opens down).

To learn more about parabola, refer to:

brainly.com/question/25651698

#SPJ1

The solution for the absolute value equation is option (A) x = -15 and x = 21 is the correct answer.

In this question,

One third times the absolute value of the quantity x minus 3 end quantity plus 4 equals 10. The equation for this statement is 1/3  |x - 3| + 4 = 10.

The solution for the equation is

\(\frac{1}{3}\)  |x - 3| + 4 = 10

⇒ \(\frac{1}{3}\) |x - 3| = 10 - 4

⇒ \(\frac{1}{3}\) |x - 3| = 6

Multiply by 3 on both sides,

⇒ \(\frac{1}{3}\) |x - 3| = 6

⇒ \(\frac{3}{3}\) |x - 3| = 18

The absolute value of the equation takes both as positive and negative values.

Case 1: Take as positive value

⇒ x - 3 = 18

⇒ x = 18 + 3

⇒ x = 21

Case 2: Take as negative value

⇒ - (x-3) = 18

⇒ -x + 3 = 18

⇒ x = 3 - 18

⇒ x = -15

Hence we can conclude that the solution for the absolute value equation is option (A) x = -15 and x = 21 is the correct answer.

Learn more about absolute value equation here

https://brainly.com/question/2166748

#SPJ4

a) The cutoff value that bounds the highest 5% of all IQs in this example is approximately 124.675.

b) The cutoff value that bounds the lowest 10% of all IQs in this example is approximately 80.77.

c) The cutoff values that bound the middle 80% of all IQs in this example are approximately 80.77 and 119.73.

a) The cutoff value that bounds the highest 5% of all IQs in this example is approximately 124.675.

To determine the cutoff value that bounds the highest % of all IQs in a normal model, we need to consider the area under the curve of the normal distribution.

The highest % of IQs corresponds to the right tail of the distribution.

Let's say we want to find the cutoff value that bounds the highest 5% of all IQs. This means we need to find the value x such that the area to the right of x under the normal curve is 5%.

To do this, we can use a standard normal distribution table or a calculator.

For example, if we want to find the cutoff value for the highest 5% of IQs, we can use the Z-score corresponding to a cumulative probability of 0.95.

From the standard normal distribution table, we find that the Z-score is approximately 1.645.

Now we can convert this Z-score back to the original IQ scale by using the formula:

x = mean + (Z-score * standard deviation). Let's say the mean IQ is 100 and the standard deviation is 15. Plugging in the values, we get:

x = 100 + (1.645 * 15) = 124.675

Therefore, the cutoff value that bounds the highest 5% of all IQs in this example is approximately 124.675.

b) The cutoff value that bounds the lowest 10% of all IQs in this example is approximately 80.77.

To determine the cutoff value that bounds the lowest % of all IQs, we need to consider the left tail of the normal distribution.

Let's say we want to find the cutoff value that bounds the lowest 10% of all IQs. This means we need to find the value x such that the area to the left of x under the normal curve is 10%.

Again, we can use a standard normal distribution table or a calculator.

For example, if we want to find the cutoff value for the lowest 10% of IQs, we can use the Z-score corresponding to a cumulative probability of 0.10.

From the standard normal distribution table, we find that the Z-score is approximately -1.282.

Using the formula x = mean + (Z-score * standard deviation) with a mean IQ of 100 and a standard deviation of 15, we get:

x = 100 + (-1.282 * 15) = 80.77

Therefore, the cutoff value that bounds the lowest 10% of all IQs in this example is approximately 80.77.

c) The cutoff values that bound the middle 80% of all IQs in this example are approximately 80.77 and 119.73.

To determine the cutoff values that bound the middle % of all IQs, we need to consider the area between two percentiles on the normal distribution.

Let's say we want to find the cutoff values that bound the middle 80% of all IQs. This means we need to find the values x1 and x2 such that the area between x1 and x2 under the normal curve is 80%.

Again, we can use a standard normal distribution table or a calculator.

To find the first cutoff value, x1, we need to find the Z-score corresponding to a cumulative probability of 0.10. From the standard normal distribution table, we find that the Z-score is approximately -1.282.

Using the formula x1 = mean + (Z-score * standard deviation) with a mean IQ of 100 and a standard deviation of 15, we get:

x1 = 100 + (-1.282 * 15) = 80.77

To find the second cutoff value, x2, we need to find the Z-score corresponding to a cumulative probability of 0.90.

From the standard normal distribution table, we find that the Z-score is approximately 1.282. Using the formula x2 = mean + (Z-score * standard deviation), we get:

x2 = 100 + (1.282 * 15) = 119.73

Therefore, the cutoff values that bound the middle 80% of all IQs in this example are approximately 80.77 and 119.73.

To know more about cutoff value refer here:

https://brainly.com/question/30092940

#SPJ11

i would answer you're question. i'm trying to work it out but i'm not really understanding it. :(

Step-by-step explanation:

Let’s go into a grocery store! What is your favorite soda? Oh, look! There! A 12-pack of your favorite soda! How much does it cost? 10.99! Wow! Wait a second... There is also a 16-pack of your favorite soda! And it costs 12.99! Which one is more worth it? You would have to use division to find how much one soda will cost for both deals to see which one is more worth it.

There are more examples, but this one is one that I find the most in everyday life. Also, I made this a little bit more fun, haha. I hope you had fun reading!

I hope this helps! :)

sides

13 X 42 = 546 square foot there are four of these

546 X 4 = 2184 square foot.

triangles

A= 0.5 X b X h

0.5 X 13 X 12 = 78 square foot again there are four of these 78 X 4 = 312 square foot

2184 + 312 = 2496 square foot

2496/277 = 9.010

9 gallons of paint will need to be purchased.

Answer:

9 gallons

Step-by-step explanation:

Answer:

Does it say how many fishes inall?

Step-by-step explanation:

The ratio of  a: b is = 5:7

Here the ratio is a:b

When the prices are both decreased by £10, the new ratio

= a-10 : b-10

When the prices are both increased by  £5, the new ratio

= a+5 : b+5

By the given conditions,

a-10 : b-10 = 3:5

or, \(\frac{a-10}{b-10\\}\) =\(\frac{3}{5}\)

or, 5(a-10) = 3(b-10)

or, 5a -50 = 3b-30

or, 5a -3b = 20 .... ...(1)

and a+5 : b+5 =3 : 4

or,\(\frac{a+5}{b+5}\) = \(\frac{3}{4}\)

or, 4(a+5) = 3(b+5)

or, 4a +20 = 3b+15

or, 4a-3b= -5 .... ...(2)

subtract the equation(2) from equation(1)

   5a -3b - (4a -3b) =20 - (-5)

or, 5a-3b-4a+3b = 20+5

or, 5a-4a = 25

Therefore,  a =25

Putting a=25 in equation (1), we get

 125-3b=20

or, 3b= 105

therefore, b=35

a :b =25:35

       = 5:7

Hence, the ratio of  a: b = 5:7

Read more about ratio :

https://brainly.com/question/13513438

The predetermined overhead rate is the estimated manufacturing overhead cost per unit of a specific allocation base.

In the options, there are four different rates:

1. $10.00 / MH (MH stands for machine hour): This means that the estimated manufacturing overhead cost per machine hour is $10.00.

2. $17.50 / MH: This indicates that the estimated manufacturing overhead cost per machine hour is $17.50.

3. $20.00 / MH: This implies that the estimated manufacturing overhead cost per machine hour is $20.00.

4. $32.86 / MH: This shows that the estimated manufacturing overhead cost per machine hour is $32.86.

Each rate represents the estimated cost of manufacturing overhead per unit of the allocation base (machine hour) and is used to allocate overhead costs to products or services based on their usage of the allocation base.

The specific rate chosen depends on the nature of the business, its cost structure, and the accuracy of the estimated overhead costs.

The correct question is ''What is the predetermined overhead rate?\(\( \$ 10.00 / \mathrm{MH} \) \( \$ 17.50 / \mathrm{MH} \) \( \$ 20.00 \) / MH \( \$ 32.86 / \mathrm{MH} \)\).''

To know more about overhead rate refer here:

https://brainly.com/question/31953044#
#SPJ11

Answer:

657000

Step-by-step explanation:

first you solve the 10^5 and 10^4. Then you solve the multiplication. Last, you solve the addition:
(6.31 * 10^5 ) + (2.6 * 10^4) =
(6.31 * 100000 ) + (2.6 * 10000) =
631000 + 26000 =
657000

Answer:

To label 6.5 on a number line, put the plot between the 6 and 7.

Same thing goes for 8.5, except the plot would go between the 8 and 9.

8.5 > 6.5

Step-by-step explanation:

1.) Since 8.5 and 6.5 are decimals, they are not a whole number which is why they go right in the middle of the two numbers they are behind and in front of.

2.) > means greater than, and 6.5 is smaller than 8.5 therefore we use the greater than sign, pointed towards the 8.5.

I hope this helps! :)

To determine the explicit rule for the nth term of the given geometric sequence 5, 20, 80, 320, 1,280, ..., use the formula:`an = a1 * r^(n - 1)`, where an represents the nth term of the sequence.`a1`represents the first term of the sequence.`r` represents the common ratio between terms of the sequence.

The given sequence is 5, 20, 80, 320, 1,280, ...Let's now apply the formula to find the explicit rule for the nth term of the given sequence.`an = a1 * r^(n - 1)`Where a1 = 5 (first term of the sequence)`r` can be found by dividing any term by the preceding term, as `r = (second term) / (first term)`In this case,`r = (20) / (5) = 4`

Substituting the values in the formula:`an = a1 * r^(n - 1)``an = 5 * 4^(n - 1)` Therefore, the explicit rule for the nth term of the given geometric sequence is `an = 5 * 4^(n - 1)`.You can use this formula to find the value of any term in the sequence, given its position (n) in the sequence.For example, to find the 150th term of the sequence, substitute n = 150 in the formula: `a150 = 5 * 4^(150 - 1)`. This simplifies to `a150 = 1.442 x 10^90`.

Learn more about geometric sequence

https://brainly.com/question/27852674

#SPJ11

Answer:

\(\frac{n}{6}\) - 1

Step-by-step explanation:

whenever the word than is there (less than, greater than) you have to switch the order so it the words 1 was first or in the beginning of the sentence but since the words less than are there, 1 goes toward the end or after the quotient of a number n and 6.

There are 28 goldfish, 3 angelfish, and 17 guppies in a fish tank. If a fish is chosen randomly, the probability that it is an angelfish or a guppy is 0.49.

In order to find the probability that a fish selected at random is an angelfish or a guppy, we need to add the probabilities of choosing an angelfish and a guppy.

P(choosing an angelfish) = 3/48 = 1/16

P(choosing a guppy) = 17/48

The probability of selecting an angelfish or a guppy can be expressed as follows:

P(choosing an angelfish or a guppy) = P(choosing an angelfish) + P(choosing a guppy)

P(choosing an angelfish or a guppy) = 3/48 + 17/48 = 20/48

Simplifying 20/48 gives 5/12 as the answer, which is equivalent to 0.49 as a decimal.

Therefore, the probability that a fish selected at random is an angelfish or a guppy is 0.49.

To know more about angelfish visit:

https://brainly.com/question/20629310

#SPJ11

Answer: 1. 0.075 (i think) , 2. $70.84, 3. 4.77$ , 4. 71.15$ ( i think this is true i don't know fs.)

Step-by-step explanation:

Answer:

A downloadable and printable table of perfect square roots and cubes!  This is a great reference sheet!

Analyzing a perfect square, such as the square root of 4.

Understanding the Product Property of Radicals (Includes an example with real numbers!)

Simplify the square root of 18.

Simplify the negative square root of 125.

Simplify the product of the square root of 8 and square root of 3.

Answer:

f(g(x) ) =  (x² + x - 1)³ - 2(x² + x - 1)² + 3(x² + x - 1)  - 5

Step-by-step explanation:

f(x) = x³- 2x² + 3x - 5                g(x) = x² + x - 1

f(g(x))

f(x² +  x - 1)      substitute x² +  x - 1 into each x term in using f(x)

(x² + x - 1)³ - 2(x² + x - 1)² + 3(x² + x - 1)  - 5

Therefore, there are 480 different ways to arrange individuals in a row so that no two engineers sit together.

An alternative name for a combo is a choice. A combination is a choice made from a predetermined group of options. I won't organize anything here. They will be my choice. The number of distinct r selections or combinations from a set of n objects is indicated by the symbol \(^nC_{r}\).

There are eight participants in the focus group, including three software engineers, two nurses, one doctor, and two technicians.

So the 3 software engineers =3! ways, 2 nurses =2! ways,

doctor =1! way , 2 technicians =2! ways.

We must determine how many different configurations are possible so that no two pieces of software may coexist.

In order to prevent two software engineers from being seated next to each other, we first arrange five persons in a row with a space between them.

\(We get that in 6 places they can sit in ^6C_{3} ways\\ xi.e ^6C_3 = 20 (by formula of combination)\\ Therefore total ways are,6 X 2 X 1 X2 X 20 = 480.\)

Therefore, there are 480 different ways to arrange individuals in a row so that no two engineers sit together.

To know more about combination visit:

https://brainly.com/question/20211959

#SPJ4

The width of a school playground is 2×103 meters and the length is 6×104 meters. Therefore, the answer is (a) 12 × 10¹⁰ square meters.

We know that the area of a rectangle can be calculated by multiplying the length and the width of the rectangle.

Here, the width is given to be 2 × 10³ meters, and the length is given to be 6 × 10⁴ meters.

Therefore, Area of the rectangle = Length × Width

Area of the rectangle = (2 × 10³) × (6 × 10⁴)

Area of the rectangle = (2 × 6) × (10³ × 10⁴)

Area of the rectangle = 12 × 10⁷

Now, the answer needs to be written in scientific notation.

Therefore, we need to write the number 12 as 1.2 × 10¹ (as 12 = 1.2 × 10¹)Therefore, Area of the rectangle = 1.2 × 10¹ × 10⁷

Area of the rectangle = 1.2 × 10¹⁰

Therefore, the answer is (a) 12 × 10¹⁰ square meters.

Learn more about area of a rectangle here:

https://brainly.com/question/8663941

#SPJ11

\(\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}\)

Actually Welcome to the Concept of the Exponents ans Indices.

Since we know that, something inverse is a reciprocal.

that, (a) ^-1 = 1/a and (a^m)^n = a^m*n

so applying this we get as,

Option B.

==> 4^15 . 5^10

Answer:

extraneous is -9 and the true solution is -2

Step-by-step explanation:

Answer:

Step-by-step explanation:

5

The monthly payment for this loan is 291.735

Given,

Faith is taking an $8,100.

and, 2.5 year loan with an APR of 3.22%.

To find the monthly payment for this loan.

Simple Interest:-

Simple interest is used when there is a single compounding per time period.

The amount of money after t years in is modeled by:

A(t) = A(0)(1 + rt)

In which:

A(0) is the initial amount.

r is the interest rate, as a decimal.

In this problem, the parameters are A(0) = 8100, r = 0.0322, t = 2.5, hence, the total amount is:

A(t) = 8100[1 + 0.0322(2.5)]

A(t) = 8,752.05

It will be paid over 2.5 x 12 = 30 months, hence the monthly payment is given by:

M = 8,752.05/30

M = 291.735

Hence,  The monthly payment for this loan is 291.735

Learn more about Simple Interest at:

https://brainly.com/question/25845758

#SPJ1

Answer:

Second table is the table which represents a linear function