Solve each problem. Show all your steps
-2 1/2 dived by 1 7/8

Answer:

you divide 4 into seven your answer would be 0.57142

the nearest thousanths is 1

the number beside 1 is 4 so you round off

4  but is less than five so you drop the 4 and remaining numbers and leave one as it is

Step-by-step explanation:

hope you understand good luck!

Answer:

hello your question is incomplete attached below is the complete question

answer : The population mean LDL level after six months is same for all four treatments

Step-by-step explanation:

A null hypothesis represents a no difference in the question. therefore the correct option is The population mean LDL level after six months is same for all four treatments

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Answer: $36

Explanation: Find the unit rate and then multiply by 9. Unit rate is 4.

Answer:

\((\frac{1}{2}+\frac{\sqrt{3}}{2}i)^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)

Step-by-step explanation:

Convert 1/2 + i√3/2 to rectangular form

\(\displaystyle z=a+bi=\frac{1}{2}+\frac{\sqrt{3}}{2}i\\\\r=\sqrt{a^2+b^2}=\sqrt{\biggr(\frac{1}{2}\biggr)^2+\biggr(\frac{\sqrt{3}}{2}\biggr)^2}=\sqrt{\frac{1}{4}+\frac{3}{4}}=\sqrt{1}=1\\\\\theta=\tan^{-1}\biggr(\frac{b}{a}\biggr)=\tan^{-1}\biggr(\frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}\biggr)=\tan^{-1}(\sqrt{3})=\frac{\pi}{3}\\\\z=\cos\frac{\pi}{3}+i\sin\frac{\pi}{3}\)

Use DeMoivre's Theorem

\(\displaystyle z^n=r^n(\cos(n\theta)+i\sin(n\theta))\\\\z^5=1^5\biggr(\cos\biggr(\frac{5\pi}{3}\biggr)+i\sin\biggr(\frac{5\pi}{3}\biggr)\biggr)\\\\z^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)

Answer:

Step-by-step explanation:

deez buts

The initial length is l.

The width is x.

The length is increased by 2x.

There is no change in width.

So, the final width is x.

Final length is l+2x.

Answer:

4 · 1/4 (I-0) = (A-0)∧2

see details in the graph

Step-by-step explanation:

Matrix A is expressed in the form A∧2=I

To proof that Matrix A is both orthogonal and involutory, if and only if A is symmetric is shown by re-expressing that

A∧2=I in the standard form

4 · 1/4 (I-0) = (A-0)∧2

Re-expressing

A∧2 = I as a graphical element plotted on the graph

X∧2=I

The orthogonality is shown in the graphical plot displayed in the picture. Orthogonality expresses the mutually independent form of two vectors expressed in their perpendicularity.

Answer:

slope = -1/4

using the formula

y -y1 = m(x -x1)

y -9 = -1/4(x- (-2))

y -9 = -1/4(x +2)

cross multiply

4(y -9) = -1 ( x +2)

4y -36 = -x -2

4y = -x -2+ 36

4y = -x +34

divide the both sides by 4

y = -1/4x +34/4

y = -1/4x +17/2(equation of the line)

Answer: Hi! Read the explanation below:

Brainliest?

Step-by-step explanation:

Predict:

Without more information about the market and consumer demand, it is difficult to determine the optimal sales price that would generate the most profit. However, a common pricing strategy is to set the price at a certain percentage above the production cost. For example, setting the price at $150 would result in a profit of $50 per phone sold ($150 - $100 = $50).

If you set the price too low, you may not make enough profit to cover your production costs, leading to a loss. Additionally, consumers may perceive the low price as an indication of poor quality or lack of value, which could reduce demand for your product.

If you set the price too high, you may not be able to sell enough phones to make a profit, as consumers may choose to purchase cheaper alternatives instead. High prices can also create a perception of exclusivity, which could limit the potential customer base.

Calculate:

See the table below.

Price ($) Quantity Demanded (Q) Total Revenue (TR) Total Cost (TC) Profit (TR-TC)

100 20 2,000 2,000 0

120 18 2,160 1,800 360

140 16 2,240 1,600 640

160 14 2,240 1,400 840

180 12 2,160 1,200 960

200 10 2,000 1,000 1,000

Analyze:

Based on the table, it appears that a price of $140 would maximize profit, as this is where profit is highest ($640). At this price, the quantity demanded is 16 phones, resulting in total revenue of $2,240 and total cost of $1,600.

As the price increases, the quantity demanded decreases, as consumers are less willing to pay higher prices. This leads to lower total revenue and profit.

The x-intercept is when profit is equal to zero, or where TR = TC. This point represents the break-even point, where total revenue covers the total cost of production. In this case, the x-intercept is at a price of $150.

Quadratic Regression:

a) Using the provided calculator link, we obtain the following values:

a = 0.05

b = -10

c = 500

r2 = 0.9

b) The standard form of the equation that represents the data is:

f(x) = 0.05x2 - 10x + 500

c) r2 is the coefficient of determination, which represents the proportion of the variance in the dependent variable (profit) that is explained by the independent variable (price). An r2 value of 0.9 indicates a strong positive correlation between price and profit, meaning that the equation is a good fit for the data.

d) See graph below.

Graph of quadratic equation

Evaluate:

Profit as a function of sales price follows a quadratic curve because it reflects the relationship between price and demand. At low prices, demand may be high but profit per unit is low, while at high prices, profit per unit may be high but demand is low. The optimal price is the one that balances these

Hence Sequences 4, 16, 36, 64,.. are not arithmetic, however 40, 30, 20, 10,... are, with a common difference of -10 and the 52nd term being -490.

An arithmetic progression is defined as a constant discrepancy between terms that follow one another through a series. For instance, the number sequence 5, 7, 9, 11, 13, and 15 is an example of either an exponential manner with a limitation of two. A progression with a set tolerance between any consecutive numbers is referred to as a "arithmetic progression" (A.P.). Two types of mathematical progression are possible: series in mathematics with a finite length A finite geographic progression is a serie with a finite number of terms. The early, delayed, tolerance, and frequency of terms may all be calculated using the terms in the series.

given

First succession

4, 16, 36, 64,

The common difference must be the same for it to be considered AP.

It is not AP since 16 - 4  ≠  36 - 16.

Second succession;

40, 30, 20, 10, ...

common distinction =30 - 40 = 20 - 30 = 10 - 20 = -10

As a result, it will be an AP because the common difference is -10 and the same.

Now, The nth phrase of AP equals a plus (n - 1) d, where d is a typical difference and an is the initial term.

So, 52nd term = 40 + (52 - 1) (-10), which is -490.

Hence Sequences 4, 16, 36, 64,.. are not arithmetic, however 40, 30, 20, 10,... are, with a common difference of -10 and the 52nd term being -490.

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Answer: 7ft/s

Step-by-step explanation: 7ft x 10 sec =70 seconds

Answer:

67500 bottles

Step-by-step explanation:

The rate of use of water bottles is 45000bottles/30sec

the unit rate of use of water bottles is 1500bottles/1sec

multiply by 45 to get the number of bottles used in 45 seconds

1500/1sec *45sec=67500 bottles

Answer:

Step-by-step explanation:

We know there are 180° in EVERY triangle.  Given one angle is 58°

This triangle shown has two sides that are the same, both are 6.  The value of those two sides is irrelavent, except for the fact that this is an Isosceles triangle and the angle opposite those two sides are equal.

     x + x + 58 = 180

       2x + 58  = 180

           2x    = 180 -58

           2x = 122          

            x  =  61

Answer:

55,200

Step-by-step explanation:

The employee is paid twice a month. There are 12 months in a year. He is paid 12x2=24 times a year.

Multiply the pay per period by the number or pay periods

=2,300x24

=55,200

Answer:

3

Step-by-step explanation:

Answer:18.43

Step-by-step explanation:

Answer:

84

Step-by-step explanation:

TPS + SPR = RPT and TPS = RPT - SPR

The measure of RPT and SPR are given so we just need to place them and do the calculation

TPS = 137 - 53

TPS = 84

Answer: 8

Step-by-step explanation:

A) The value of x in log₄(x² - 12x + 48) = 2, is x = 4 OR x = 8

B) The value of x in 27^(4x-6) =(1/9)^(2x-7), is x = 2

From the question, we are to solve the given equations

The given equation is log₄(x² - 12x + 48) = 2

From one of the laws of logarithm, we have that

logₐ x = n ⇒ x = aⁿ

Thus,

log₄(x² - 12x + 48) = 2 becomes

(x² - 12x + 48) = 4²

x² - 12x + 48 = 16

x² - 12x + 48 - 16 = 0

x² - 12x + 32 = 0

Solve the quadratic equation

x² - 12x + 32 = 0

x² - 8x - 4x + 32 = 0

x(x - 8) -4(x - 8) = 0

(x - 4)(x - 8) = 0

x - 4 = 0 OR x - 8 = 0

x = 4 OR x = 8

B) 27^(4x-6) =(1/9)^(2x-7)

Solve for x

27^(4x-6) =(1/9)^(2x-7)

Express the bases in index form

3^3(4x-6) =(3)^-2(2x-7)

Equate the powers

3(4x - 6) = -2(2x - 7)

12x - 18 = -4x + 14

12x + 4x = 14 + 18

16x = 32

Divide both sides by 16

16x/16 = 32/16

x = 2

Hence, the value of x is 2

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Equating the expressions, if Li Wei can read 30 pages in an hour and Colleen Henry 24 pages an hour, they will be on the same page in 6 hours.

Equivalent expressions are two or more algebraic expressions that have the same value when the variables are substituted with real numbers.

In this situation, we can determine the time that Li Wei and Colleen Henry can be on the same page by equating the expressions representing their reading rates.

The number of pages Li Wei can read in a week = 90

The number of pages Collen can read in a week = 126

Li Wei's reading rate per hour = 30 pages

Collen's reading rate per hour = 24 pages

Let the hours that Li Wei and Colleen can be on the same page= x

The total number of pages Li Wei can read = 90 + 30x

The total number of pages Colleen can read = 126 + 24x

For Li Wei and Colleen to be on the same, the two expressions are equated.

90 + 30x = 126 + 24x

6x =  36

x = 6

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In a week(5 days) she completes = 50 miles

In a week ,at treadmill she runs 5x 2.5 miles= 12.5 miles

Then she spends in elliptical machine 50 - 12.5= 37.5 miles in a week

So then

in a day she spends 37.5/5 = 7.5 miles

ANSWER is 7.5 miles in elliptical machine,by day

So, each farmer pays the following amounts: The first farmer pays 738.40 euros. The second farmer pays 443.04 euros. The third farmer pays 418.56 euros

Proportion refers to the equality of two ratios. In other words, when two ratios are set equal to each other, they form a proportion. A proportion is typically written in the form of two fractions separated by an equals sign, such as a/b = c/d. Proportions are commonly used in mathematics to solve problems involving ratios and proportions, such as finding missing values or scaling up or down a given quantity.

Here,

To find out how much each farmer pays, we need to determine the proportion of the total rent that each farmer owes based on the number of sheep they have. First, we need to find the total number of sheep:

120 + 72 + 68 = 260

The first farmer has 120 sheep, which is 46.15% of the total number of sheep (120/260). Therefore, the first farmer owes 46.15% of the rent:

0.4615 x 1600 = 738.40 euros

Similarly, the second farmer has 72 sheep, which is 27.69% of the total number of sheep (72/260). Therefore, the second farmer owes 27.69% of the rent:

0.2769 x 1600 = 443.04 euros

The third farmer has 68 sheep, which is 26.15% of the total number of sheep (68/260). Therefore, the third farmer owes 26.15% of the rent:

0.2615 x 1600 = 418.56 euros

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Complete question:

The rent of 1600 euros for a piece of land is divided among three farmers who graze their sheep there. As they do not have the same number of sheep, they decide to pay proportionally according to the number of sheep each has. If the first one has 120 sheep, the second 72, and the third 68. How much does each one pay?

Answer:

the correct answer is: {(4, 1), (-2, 3), (8, 0), (5, -2)}.

Step-by-step explanation:

To find the inverse of a relation, we need to switch the positions of the x and y coordinates of each ordered pair. So, the inverse of the given relation {(1, 4), (3, -2), (0, 8), (-2, 5)} would be:

{(4, 1), (-2, 3), (8, 0), (5, -2)}

Therefore, the correct answer is: {(4, 1), (-2, 3), (8, 0), (5, -2)}.

The one that shows the inverse of {(1, 4), (3, -2), (0, 8), (-2, 5)} is {(4, 1), (-2, 3), (8, 0), (5, -2)}.

In mathematics, the inverse of a function or a relation is obtained by reversing the roles of the dependent and independent variables.

That is, if a function maps elements from set A to set B, its inverse function maps elements from set B to set A.

To find the inverse of a relation, we need to switch the order of the coordinates in each ordered pair. That is, if a relation contains the ordered pair (a, b), then its inverse will contain the ordered pair (b, a).

Using this rule, we can find the inverse of the given relation:

{(1, 4), (3, -2), (0, 8), (-2, 5)}

Inverse: {(4, 1), (-2, 3), (8, 0), (5, -2)}

Therefore, the correct answer is: {(4, 1), (-2, 3), (8, 0), (5, -2)}.

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Answer:

Draw a box and split it into four pieces. Write 4 in each of those pieces. Put a "{" or "}" around 3 of them. Next to it write. 4 x 3 OR 4 + 4 + 4 = 12

Step-by-step explanation:

Draw a box and split it into four pieces. Write 4 in each of those pieces. Put a "{" or "}" around 3 of them. Next to it write. 4 x 3 OR 4 + 4 + 4 = 12

Hope that helps!

Answer:

-74+3i

Step-by-step explanation:

Answer:

Step-by-step explanation:

(5 + 3i) + (2 - 81)

5 + 3i + 2 - 81

74 + 3i

Answer:

x-int: (2, 0)

y-int: (0, -4)

Step-by-step explanation:

Step 1: Convert to slope-intercept form

2y = -4x - 8

y = -2x - 4

Step 2: Find y-int (Set x to 0)

y = -2(0) -4

y = -4

Step 3: Find x-int (Set y = 0)

0 = -2x - 4

4 = -2x

x = 2

Answer:

The x=-2 and y=-4

Step-by-step explanation:

x=(-2,0)

y=(0,-4)

DO the math and you will get the answer

I hope this helps

Stay safe:)

USe desmo

The expression that is equivalent to StartRoot \(8 x^7 y^8\) EndRoot is (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2.

To understand why this is the case, let's break down each expression and simplify them step by step:

StartRoot \(8 x^7 y^8\) EndRoot:

We can rewrite 8 as \(2^3\), and since the square root can be split over multiplication, we have StartRoot \((2^3) x^7 y^8\) EndRoot. Applying the exponent rule for square roots, we get StartRoot \(2^3\) EndRoot StartRoot \(x^7\) EndRoot StartRoot \(y^8\) EndRoot.

Simplifying further, we have 2 StartRoot \(2 x^3 y^4\) EndRoot StartRoot \(2^2\) EndRoot StartRoot \(x^2\) EndRoot StartRoot \(y^4\) EndRoot. Finally, we obtain 2 \(x^3 y^4\) StartRoot 2 x EndRoot, which is the expression in question.

(\(2 x y^2\) StartRoot 8 x^3 EndRoot)^2:

Expanding the expression inside the parentheses, we have \(2 x y^2\)StartRoot \((2^3) x^3\) EndRoot. Applying the exponent rule for square roots, we get \(2 x y^2\) StartRoot \(2^3\) EndRoot StartRoot \(x^3\) EndRoot.

Simplifying further, we have \(2 x y^2\) StartRoot 2 x EndRoot. Squaring the entire expression, we obtain (\(2 x y^2\) StartRoot 2 x EndRoot)^2.

Therefore, the expression (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2 is equivalent to StartRoot \(8 x^7 y^8\) EndRoot.

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Based on the data in the sample, we can estimate that 900 people in attendance would prefer mustard on a hot dog.

According to the data provided, out of the 150 people surveyed, 27 people prefer mustard on a hot dog.

To estimate how many people in attendance would prefer mustard on a hot dog, we can use a proportion:

27/150 = x/5000

Where x is the number of people in attendance who would prefer mustard on a hot dog.

To solve for x, we can cross-multiply:

27 x 5000 = 150 x

Simplifying the equation, we get:

x = (27 x 5000)/150

x = 900

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