help meeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeee!!!!!!!!!!!!!!help meeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeee!!!!!!!!!!!!!!help meeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeee!!!!!!!!!!!!!!help meeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeee!!!!!!!!!!!!!!

Help Meeeeeeeeeeeeeeeeeee Pleaseeeeeeeeeeeeeee!!!!!!!!!!!!!!help Meeeeeeeeeeeeeeeeeee Pleaseeeeeeeeeeeeeee!!!!!!!!!!!!!!help

Answers

Answer 1
Answer:

The population in 10 years will be approximately 358,528.

Step-by-step explanation:

I'm making a table where it shows the population every year. To find how much there is that year, I multiply the previous step by 1.02, which is 102%.

(I'm multiplying by 1.02 (102%) rather than 0.02 (2%) because the population is the previous year's population plus 2%. The previous year's population is 100%, then I'm adding 2%.)

Here's what it would look like:

year 0: 300,000 (this is how the city starts)

year 1: 306,000

year 2: 312,120

year 3: 318,362.4

year 4: 324,729.648

year 5: 331,224.24096

year 6: 337,848.7257792

year 7: 337,848.7257792

year 8: 344,605.700294784

year 9: 351,497.8143006797

year 10: 358,527.7705866933

However, having 0.7705866933 of a person isn't possible, so now, you round to the nearest whole number. The number 358,527.7705866933 rounds up to 358,528 (because the decimal place is greater than 4).

And there you have your answer :) Hopefully this helps!


Related Questions

Martina is driving to Atlanta. Suppose that the remaining distance to drive (in miles) is a linear function of her driving time (in minutes). When graphed, the function gives a line with a slope of -0.85. Martina has 74 miles remaining after 39 minutes of driving. How many miles will be remaining after 57 minutes of driving?

Answers

Miles will be remaining after 57 minutes of driving 58.7 miles.

What is Linear Function?

The terms "linear function" in mathematics refer to two different but related ideas: A polynomial function of degree zero or one that has a straight line as its graph is referred to as a linear function in calculus and related fields.

Write the linear function as:

remaining distance = -0.85(drive time) + (intercept)

After 39 minutes of driving, Martina has 74 miles left to go.

That gives you the following:

74 = -0.85(39) + intercept

intercept = 107.15

Equation is rd = -0.85t + 107.15

remaining after 15 minutes of driving:

rd(57) = -0.85*57+107.15

rd(57) = 58.7 miles

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Help I don't know how to do this

Answers

Answer:

Step-by-step explanation:

a(n) = a(1) + (n-1)d

a(n) = -9 + (n-1) x (-6-(-9)

a(n) = -9 + (n-1) x (-6 +9)

a(n)=  -9 + (n-1) x 3

a(n) = -9 + 3n - 3

a(n) = 3n - 12

a(30) = 3 x 30 - 12

a(30) = 90 - 12

a(30) = 78

Need help with geometry please !

Answers

Answer:

90°

Step-by-step explanation:

Note that the sum of the exterior angles of an octagon is 360°. Therefore we can say:

x+2x+3x+4x+5x+7x+8x+10x=360

40x=360

x=9

10x° is the largest exterior angle and x=9, so 10x°=90°

Hope this helps :)

8
Rachel works at 'Best Price Cars' and earns $9 per hour plus 4% commission on every car she sales. She worked 40 hours last week and sold 36,000 in cars. What
was Rachel's total income last week?
Type your answer...
I need the answers

Answers

Rachel's total income is $13320.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Rachel works at 'Best Price Cars' and earns $9 per hour plus 4% commission on every car she sales.

Commission = 9 x 0.04 = $0.36

Commission on 36000 cars = $12960

By working 40 hours he earn = 9 x 40 = $360

Hence, the total income = 360+ 12960 = $13320

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The first step in simplifying the expression: (1.8 x 10^5) - (2.6 x 10^3)

a
Addition and subtraction requires the terms to be "like terms" with the same power of the base 10, so you would need to change the second number to (2600 x 10^5).
b
Addition and subtraction requires the terms to be "like terms" with the same power of the base 10, so you would need to change the second number to (0.026 x 10^5).
c
Addition and subtraction do not require any changes, so you would just subtract (2.6 - 1.8) and (10^(5-3))
d
Addition and subtraction do not require any changes, so you would just subtract (1.8 - 2.6) and (10^(5-3))

Answers

The first step in simplifying the expression: (1.8 x 10^5) - (2.6 x 10^3) is

b Addition and subtraction requires the terms to be "like terms" with the same power of the base 10, so you would need to change the second number to (0.026 x 10^5)

How to simplify the expression

In simplifying the given expression: (1.8 x 10^5) - (2.6 x 10^3) while subtracting the power is made similar hence

= (1.8 x 10^5) - (2.6 x 10^3)

=  (1.8 x 10^5 - 0.026 x 10^5

applying distributive property of multiplication

= (1.8 - 0.026) x 10^5

= 1.774 x 10^5

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is this a proportional relationship? ​

Answers

Answer:

Step-by-step explanation:

i don't think so

drag the description from the torres-porras experiment on to the position it represents in the scientific method.

Answers

These are the general steps that every experiment takes, however no two research programs are the same. The aforementioned steps can be changed.

What is hypothesis in math?

A hypothesis is a proposition that makes sense in light of the available information but has neither been confirmed nor refuted.

                             A statement on which hypothesis testing will be based is referred to as a hypothesis in statistics (also known as a statistical hypothesis).

Of the 10 targets, you mislabeled two. Both the forecast and the hypothesis were messed up by you. Remember that a hypothesis usually offers less detail than a prediction.

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What is the reciprocal of the only even prime number?

Answers

Answer:

Since the only even prime number is 2, we can say that its reciprocal is 1 2 \dfrac{ 1 }{ 2 } 21​. By checking, we get 2 × 1 2 = 1 2 \times \dfrac{ 1 }{ 2 } = 1 2×21​=1.

Step-by-step explanation:

A construction company in Florida is struggling to sell condominiums. The company believes that it will be able to get an average sale price of $210,000. Let the price of these condominiums in the next quarter be normally distributed with a standard deviation of $15,000. [You may find it useful to reference the z table.]a. What is the probability that the condominium will sell at a price (i) below $200,000? (ii) above $240,000? (Round your final answers to 4 decimal places.)b. The company is also trying to sell an artist’s condo. Potential buyers will find the unusual features of this condo either pleasing or objectionable. The manager expects the average sale price of this condo to be the same as others at $210,000, but with a higher standard deviation of $20,000. What is the probability that this condo will sell at a price (i) Below $200,000? (ii) Above $240,000? (Round your answers to 4 decimal places.)

Answers

At a standard deviation of $15,000, the probability that the condominium will sell at a price below $200,000 is 0.2525 and above $240,000 is 0.02. At a standard deviation of $20,000, the probability that the condominium will sell at a price below $200,000 is 0.3085 and above $240,000 is 0.0668.

From the given question;

Let the average sale price(μ)=210,000

Standard Deviation(σ)=$15,000

(a) We have to find the probability that the condominium will sell at a price.

(i) below $200,000, i.e. P(x<200,000)

Z=(x−μ)/σ

Z=(200,000−210,000)/15,000

Z= −10,000/15000

Z= −0.67

Now finding P(x<200,000) is same as finding P(Z<−0.67) using the standard table of z.

P(Z<−0.67) = 0.2525

(ii) above $240,000, i.e. P(x>240,000)

Z=(x−μ)/σ

Z=(240,000−210,000)/15,000

Z= 30,000/15000

Z= 2

Now finding P(x>240,000) is same as finding P(Z>2) using the standard table of z.

P(Z>240,000)=P(Z>2)

P(Z>240,000)=1−P(Z<2)

P(z>240,000)=1−0.98

P(z>240,000)=0.02

(b) Now the average sale price(μ)=210,000

Standard Deviation(σ)=$20,000

We have to find the probability that the condominium will sell at a price.

(i) below $200,000, i.e. P(x<200,000)

Z=(x−μ)/σ

Z=(200,000−210,000)/20,000

Z= −10,000/20000

Z= −0.5

Now finding P(x<200,000) is same as finding P(Z<−0.5) using the standard table of z.

P(Z<−0.5) = 0.2085

(ii) above $240,000, i.e. P(x>240,000)

Z=(x−μ)/σ

Z=(240,000−210,000)/20,000

Z= 30,000/20000

Z= 1.5

Now finding P(x>240,000) is same as finding P(Z>1.5) using the standard table of z.

P(Z>240,000)=P(Z>1.5)

P(Z>240,000)=1−P(Z<1.5)

P(z>240,000)=1−0.93319

P(z>240,000)=0.0668

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help meeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeee!!!!!!!!!!!!!!help meeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeee!!!!!!!!!!!!!!help meeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeee!!!!!!!!!!!!!!

Answers

Answer:

7.9

Step-by-step explanation:

Using the half-life formula, there will be about [tex]30(0.5)^{11000/5730} \approx 7.9[/tex] grams left.

this is kind of tricky for me to answer,please help! I will make you Brainliest!

Answers

Answer:

Im not too sure because I haven't done this in a while but, I think the answer is 60cm, don't come at me if its wrong plssss

Step-by-step explanation:

if u divide it along the far left, closer to 12cm, u would have 2 rectangles. they would Both be close and If u added up 12cm and 12cm that would give you 24cm, and if you go to the other rectangle it would be 18 cm plus 18cm that would be 36cm. u do not multiply since it is perimeter and not area. Hope it helped!

Answer:

60 cm

Step-by-step explanation:

18+18+12+12

30+30

60

the 4 unknown sides we know that the 2 lengths equal 18 cm because both of them together are the same length as the base and the 2 widths add up to be 12 cm since it is the same size as the 12 cm width when added together if that makes sense

Hopes this helps

Need help ASAP
2^7x2^-2 +2^9/2^4 +2^3/2^-2
Show that C = a×2^b where a and b are two integers to be determined​

Answers

The problem is based on laws of exponents and answer to this Question is a = 2 and b = 14

What are laws of exponents?

Laws which are used to solve the problems including the exponents are called laws of exponents

Solution:

As we can clearly see in whole expression 2 is present in every term

By laws of Exponents we can take 2 common out and we can easily express this thing in given form that a multiplied 2 rays to power b

When we solve this expression we get

this expression equal to 2^15

which we can write 2×2^14

hence on comparing we get a = 2 and b = 14

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Find the time derivative dp(t)/dt of the x component of the system's total momentum.

Answers

The time derivative dp(t)/dt of the x component of the system's total momentum is m₁a₁(t)+m₂a₂(t).

A moving body's motion is measured by its momentum, which is the product of its mass and velocity. The formula for momentum is p=mv. Here, p is momentum, m is mass (in kg), and v is the velocity (m/s).

This equation with respect to time is written as dp(t)/dt. Then, momentum for block 1 is written as,

[tex]\begin{aligned}\frac{dp_1(t)}{dt}&=\frac{d(m_1v_1(t))}{dt}\\&=m_1\frac{dv_1(t)}{dt}\\&=m_1a_1(t)\end{aligned}[/tex]

The momentum for block 2 is written as,

[tex]\begin{aligned}\frac{dp_2(t)}{dt}&=\frac{d(m_2v_2(t))}{dt}\\&=m_2\frac{dv_2(t)}{dt}\\&=m_2a_2(t)\end{aligned}[/tex]

In both equations, the value dv/dt=a with respect to time.

Then, the total momentum is,

[tex]\begin{aligned}\frac{dp(t)}{dt}&=\frac{dp_1(t)}{dt}+\frac{dp_2(t)}{dt}\\&=m_1a_1(t)+m_2a_2(t)\end{aligned}[/tex]

Therefore, the value is m₁a₁(t)+m₂a₂(t).

The complete question is -

In this problem, you will analyze a system composed of two blocks, 1 and 2, of respective masses m1 and m2. To simplify the analysis, we will make several assumptions:

The blocks can move in only one dimension, namely, along the x-axis.The masses of the blocks remain constant.The system is closed.

At time t, the x components of the velocity and the acceleration of block 1 are denoted by v1(t) and a1(t). Similarly, the x components of the velocity and acceleration of block 2 are denoted by v2(t)and a2(t). In this problem, you will show that the total momentum of the system is not changed by the presence of internal forces.

Part B

Find the time derivative dp(t)/dt of the x component of the system's total momentum.

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Solve for x:

7x(x+1. 8)=0


Need help ASAP.


Answer is not x=-1. 8 or x=0

Answers

Answer:

Step-by-step explanation:

x = -9/5 = -1.800 or

x = 0

Find the value of x. 5² x 5 + 5 = 5^5​

Answers

Answer:125

Step-by-step explanation:

The first two terms of an arithmetic sequence are shown below.
1
2
x+3' x +4
.
4
Find the third term of this sequence.
Give your answer fully factorised.

Answers

The third term of the sequence is 3/x+5 when the arithmetic sequence is 1/x+3, 2/x+4,....

Given that,

The first two terms of an arithmetic sequence are given that is

1/x+3, 2/x+4,....

We have to find the third term of this sequence.

We know that,

What is an arithmetic sequence?

The arithmetic sequence is the set of terms where the common difference between any two succeeding terms is always the same. Recall the definition of a sequence. A group of integers that follow a pattern is referred to as a sequence.

There are two ways of defining an arithmetic sequence. A "sequence where the differences between each pair of succeeding terms are the same" is what it is. Alternatively, "each term in an arithmetic sequence is obtained by adding a fixed number (positive, negative, or zero) to its preceding term."

The sequence has

n/x+(n+2)

Take n=1 is 1/x+3

Take n=2 is 2/x+4

Take n=3 is 3/x+5

Therefore, The third term of the sequence is 3/x+5 when the arithmetic sequence is 1/x+3, 2/x+4,....

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Please solve this question with proper explanation to this,

thank you

Answers

The owner of a landscaping company can determine how much time, on average, his employees spend mowing one lawn by taking hours per lawn.

How do we calculate average?An average is now a single number that is selected to represent a collection of numbers; it is frequently the sum of the numbers divided by the total number of numbers in the collection.Average When calculating the arithmetic mean, a set of numbers is added, their count is divided, and the result is then taken.The median or mode of a statistic, for example, could also be considered an average depending on the circumstance. Since the mean would be artificially inflated if it included the personal incomes of a few billionaires, the median is frequently used to represent the average personal income.The median is the value at or above which half of all personal incomes fall and half of all personal incomes rise.

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can anyone help ? No links please worth a lot of points! I also need a explaination and the answer for Z

Answers

Answer:

11.66

Step-by-step explanation:

10^2 + 6^2 = Z^2

100 + 36 = Z^2

136 = Z^2

sqrt(136) = Z

sqrt 136 = 11.66

if the mean and mode are 15 and 10, respectively, then determine the potential range of the median for a positively skewed distribution

Answers

The median will be greater than 10 and less than 15.

Given,

The mean of the skewed distribution = 15

The mode of the skewed distribution = 10

We have to find the potential range of the median for a positively skewed distribution;

Here,

The empirical relationship between mean, median, and mode for a frequency distribution that is positively skewed is mean > median > mode. Based on this, the range of the median is 15 > median > 10 if the mean is 15 and the mode is 10.

Therefore,

The median will  be higher than 10 and lower than 15.

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12. A rectangle is drawn so that the base lies on thex-axis, and the top corners are on the curvey=48−x 2. Draw a diagram. Find the maximum area of such a rectangle.

Answers

the maximum area of such a rectangle will be 144 unit²

What is a rectangle?

Rectangles are quadrilaterals having four right angles in the Euclidean plane of geometry. Various definitions include an equiangular quadrilateral, A quadrilateral with parallel sides that are equal to one another and four equal vertices is known as a rectangle. It is also known as an equiangular quadrilateral for this reason.

Rectangles can also be referred to as parallelograms because their opposite sides are equal and parallel.

The area of rectangle is A = a*b

A = 2x*(48-x²) = 96x - 2x³

We are asked to maximize the Area as changes so hopefully, we can identify a critical point of

It an associated with a maximum, So we need to find [tex]\frac{dA}{dx}[/tex] = 0

96 - 6x² = 0

x² =96/6 = 16

x = ±6

So the width = 12

Height = 48 - 36 = 12

So the area = 144 unit²

Hence the maximum area of such a rectangle will be 144 unit²

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Two augmented matrices for two linear systems in the variables x, y, and I are given below.
The augmented matrices are in reduced row-echelon form.
For each system, choose the best description of its solution.
If applicable, give the solution.
(a)
10-1
01 1
100 0
5
100 2
0011 4
000-2
OThe system has no solution.
O The system has a unique solution.
(x,x.) - D
O The system has infinitely many solutions.
O (1.7.²) = (1.D
(1.7.2) -..D
(x,y,z) ==)
O The system has no solution.
O The system has a unique solution.
(x,y) - D
O The system has infinitely many solutions.
(x, y, z)=(xD
(2.3.²) -..D
(..)-:)
8
X

Answers

a) The system has infinitely many solutions in the following format:

(2 + z, 5 - z, z).

b) The system has no solution.

How to obtain the number of solutions of each system?

To obtain the number of solutions of each system, the equations are built from the augmented matrix presented.

For item a, both sides of the matrix have one zero row, hence the system has infinitely many solutions, and the equations are given as follows:

x - z = 2.y + z = 5.

Hence the solutions in terms of z are given as follows:

x = 2 + z.y = 5 - z.

Thus the format of the solutions is of:

(2 + z, 5 - z, z).

For item b, the right side has three non-zero rows, while the left-side has two, meaning that it has no solutions.

This can be verified from the last line, as the equation would be of:

0z = -2.

Which has no solution.

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Identify the sampling technique used in the given scenario. The English department is interested in overall performance in its entry-level 101 course. The department chair selects every tenth student's final grade from a list of all students enrolled in the course and calculates the average final grade.

Answers

The sampling technique used in the given scenario is Systematic sampling technique.

Systematic sampling technique

Systematic sampling is a probability sampling technique in which researchers randomly choose individuals of a population at regular intervals. The sampling interval, or fixed periodic interval, is calculated by dividing the population size by the required sample size.

Types of Systematic sampling technique

A systematic sample can be generated in three ways:

Systematic random sampling: The most common type of systematic sampling in which the subject is chosen at a predefined interval.

Linear systematic sampling: Instead of picking the sample interval at random, a skip pattern is constructed by following a linear path.

Circular systematic sampling: It occurs when a sample begins from the same spot where it ends.

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What is the force should be applied to a piston with radius of of 1 to create a pressure of 8? (you'll have to rearrange the equation)

Answers

Force applied on the piston is 8π.

Given , Radius = 1 , Pressure = 8

Since , the units of pressure and radius are not given, let us assume radius is in cm and pressure is in [tex]\frac{Newton}{cm^{2} }[/tex].

Now , it becomes

Radius(r) = 1 cm

Pressure(p) = 8 [tex]\frac{Newton}{cm^{2} }[/tex]

Now , We know that

Force = Pressure × Area

∴ F = p × a

or F = 8 × π×[tex]1^{2}[/tex]         [∵ Area of Piston = π[tex]r^{2}[/tex]]

F = 8π

Hence ,Force applied on the piston is 8π.

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What is the y-intercept of the line that is parallel to y 2 and goes through the point (-3,4)?

Answers

The y-intercept of the line that parallel is y = 4.

What is the y-intercept of the line?

The point on a line where it crosses the y-axis is known as the y-intercept. To put it another way, it is the value of y when x is equal to 0. This can sometimes have real significance for the model that the line offers, but it can also have no significance. In this section, we will see examples of both categories.

Use the slope-intercept form to find the slope.

The slope-intercept form is

y = mx + b,

where,

m is the slope and b is the y-intercept.

y = mx + b

Using the slope-intercept form, the slope is 0.

m = 0

To find an equation that is parallel, the slopes must be equal. Find the parallel line using the point-slope formula.

Use the slope 0 and a given point (-3, 4) to substitute for x1 and y1 in the point-slope form in the point-slope form y − y1 = m(x − x1),  which is derived from the slope equation

[tex]m = \frac{y_2 - y_1}{x_2 - _1}[/tex]

y - 4 = 0⋅(x - 3)

Simplify the equation,

y = 4.

hence, the y-intercept of the line that parallel is y = 4.

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Solve for r.

−88=11(r−6)

Enter your answer in the box.
r =

Answers

Answer:

r=-2

Step-by-step explanation:

[tex]-88=11(r-6)\\\frac{-88}{11}=\frac{11(r-6)}{11}\\-8=r-6\\-8+6=r-6+6\\r=-2[/tex]

Answer:

r = -2

Step-by-step explanation:

Isolate the variable, r. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation, and stands for:

Parenthesis

Exponents (& Roots)

Multiplications

Divisions

Addition

Subtraction

~

First, divide 11 from both sides of the equation:

[tex]-88 = 11(r - 6)\\\\-\frac{88}{11} = \frac{ [11(r-6)]}{11}\\\\-8 = r - 6[/tex]

Next, isolate the variable, r. Add 6 to both sides of the equation:

[tex]-8 = r - 6\\-8 (+6) = r - 6 (+6)\\r = -8 + 6\\r = -2[/tex]

r = -2 is your answer.

~

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2 square root 3 multiplied by 3 square root 8

Answers

Answer:

Step-by-step explanation:

12 root 6 is the answer because the 3 root 8 can be simplified to 6 root 2, so you when you multiply 2 root 3 with 3 root 8, you get 12 root 6.

Answer:

[tex]12\sqrt{6}[/tex]

Step-by-step explanation:

Given expression:

[tex]2 \sqrt{3} \cdot 3 \sqrt{8}[/tex]

Multiply the numbers 2 and 3:

[tex]\implies 6\sqrt{3}\sqrt{8}[/tex]

[tex]\textsf{Apply radical rule} \quad \sqrt{a}\sqrt{b}=\sqrt{ab}:[/tex]

[tex]\implies 6\sqrt{3 \cdot 8}[/tex]

Simplify:

[tex]\implies 6\sqrt{24}[/tex]

Rewrite 24 as 4 · 6:

[tex]\implies 6\sqrt{4 \cdot 6}[/tex]

[tex]\textsf{Apply radical rule} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}:[/tex]

[tex]\implies 6\sqrt{4}\sqrt{6}[/tex]

Rewrite 4 as 2²:

[tex]\implies 6\sqrt{2^2}\sqrt{6}[/tex]

[tex]\textsf{Apply radical rule} \quad \sqrt{a^2}=a, \quad a \geq 0:[/tex]

[tex]\implies 6 \cdot 2 \sqrt{6}[/tex]

Multiply the numbers 6 and 2:

[tex]\implies 12 \sqrt{6}[/tex]

The table shows the ingredients for one batch of barbecue sauce. Anne has 9 cups of ketchup and makes the greatest number of whole batches of barbecue sauce possible. How much ketchup remains?

Answers

Answer:

hi do you mind making the question a bit clear? where is the table?

Step-by-step explanation:

Cary i checking her tax bill for the lat year. The tax rate were a follow:. No tax on the firt £11 000 of earning
Earning in exce of £11 000 and up to £43 000 taxed at a rate of 20%
Earning in exce of £43 000 and up to £150 000 taxed at a rate of 40%

Earning over £150 000 taxed at a rate of 45%
Lat year, Cary earned £45 600 before tax. How much tax did he pay in total?

Answers

If Cary earned $45600 before tax, then she paid $18240 as tax

The amount that Cary earned last year = $45600 before tax

The rate of tax if earning exceed of 43000 and up to 150000 = 40%

Then the amount of tax = The amount that Car earned last year × (The rate of tax if earning exceed of 43000 and up to 150000 / 100)

Substitute the values in the equation to find the tax amount

The amount of tax = 45600 × (40/100)

Divide the numbers first

= 45600 × 0.40

Multiply the numbers

= $18240

Hence, the amount of tax that he paid is $18240

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mason never has a pencil when test day rolls around. because the classmates are tired of having to supply pencils for mason, only 15% of students will give mason a pencil when asked. today is test day and mason begins asking randomly selected students for a pencil. let y

Answers

The expected number of people that Mason will have to ask to get a pencil, using the binomial distribution, is of:

6.67.

What is the binomial distribution formula?

The mass probability formula, giving the probability of x successes, is of:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters of the distribution are given are given and expected as follows:

n is the number of trials of the experiment.p is the probability of a success on a single trial of the experiment.

The expected number of trials until q successes is given as follows:

E(X) = q/p.

15% of students will give mason a pencil when asked, hence the parameter p is given as follows:

p = 0.15.

Then the expected number of students that Mason will have to ask is of:

E(X) = 1/0.15 = 6.67.

q = 1 as one pencil = one success.

Missing Information

The problem asks for the expected number of students that Mason will have to ask for the pencil.

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If the lowest price in the past year occurred 35 days ago, find the approximate average change per day since then. a. $2.08 b. $2.64 c. $0.90 d. $2.99

Answers

The approximate change per day since the lowest price occurred 35 days ago, is a. $2.08.

How to find the approximate average change?

The approximate average change can be found by the formula :

= ( Current price of stock - Lowest price ) / Number of days since lowest price

Current price of Dagofi Radar stock = $ 130. 58 closing price

Lowest price = $ 57. 71

The approximate average change is:

= ( 130. 58 - 57. 71) / 35

= 72. 87 / 35

= $ 2.08

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Missing part of question:
Consider today's stock listing for Dagofi Radar, shown below.

52 wk High

52 wk Low

Symbol

Div.

Close

Net Change

162.22

57.71

DFR

9.75

130.58

-2.64

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