write the algebraic expression that represents the following

b. Five less than the quotient of nine and a number
c. One half of the sum of six times a number and twenty-two
d. Nine less than twice the difference between a number and seven
e. Eleven less than a number squared​

Answer:

Step-by-step expla

The statistical technique that combines results of a large number of studies is called meta-analysis.

It means that you will take data from various sources, such as studies, combine them together, and then create this mixture of various results that you can use in your own research. If something occurs often in those studies, it means that it is good and reliable information.

Answer:

a = 1 and b = -7

Step-by-step explanation:

Given the expression

(3 + i)(1+2i)

On factorizing we have;

(3 + i)(1+2i)

= 3(1)+3(2i)+1(i)+i(2i)

= 3 + 6i + i + 2i²

= 3 + 7i + 2i²

Since i² = -1

The expression becomes;

= 3 + 7i + 2(-1)

= 3 + 7i -2

= 1 - 7i

On comparing with a + bi

a = 1 and b = -7

Note that:

To create the equation of the line, find the slope. Then, use point slope form to find the equation of the line.

Use the slope formula to find the slope.

Use the point slope form formula.

Note that:

To create the equation of the line, find the slope. Then, use point slope form to find the equation of the line.

Use the slope formula to find the slope.

Use the point slope form formula.

Note that:

To create the equation of the line, find the slope. Then, use point slope form to find the equation of the line.

Use the slope formula to find the slope.

Use the point slope form formula.

Hoped this helped!

Answer:

a=c

Step-by-step explanation:

This is because of the transitive property; which states that if a=b and b=c, then a=c.

Answer:

Interest rates are annual, so you must convert the units into years.

Step-by-step explanation:

Also, I LOVE your pfp:)

Answer:

7 pencils

Step-by-step explanation:

Let x equal the number of pencils Monica buys and y equal the number of pens.

The expression would then be 2x + 7y ≤ 35. Plugging in 3 for y:

2x + 7(3) ≤35

2x +21 ≤ 35

2x ≤ 14

x≤ 7

Answer: x = 12 ft

Step-by-step explanation:

let the erect part of the pole be x

the slanted part of the pole will be 25-x

the ground distance = 5

they form a right triangle

apply Pythagoras theorem

5^2+x^2=(25-x)^2

25+x^2=x^2 - 50x + 625

50x=625-25

50x=600

x=600/50

x=12 feet

The length of flagpole is 12 feet.

The square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides.

Given:

height of wooden flagpole = 25 foot

let the broken part be x

and the remaining part be 25-x

base = 5 foot.

Apply Pythagoras theorem,

5²+x²=(25-x)²

25+x²=x² - 50x + 625

50x=625-25

50x=600

x=600/50

x=12 feet

Hence, the length pf flagpole is 12 feet.

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Answer:

B.) is the answer bro I got the same test bro like just trust me and give me 5 start and like and give a heart

Answer:

answer of 2a)

He started with $24 and spent $16. Let a represent his account balance after he bought the notebook and pens. Then

24–16=a

His new account balance is $8.

He has $8 in his account and then he deposited b dollars. His account balance is now $28. Then

8+b=28

His deposited $20 in his account.

He has $28 and spent $34. Let c represent his account balance after he bought the book. Then

28–34=c

His new account balance is -$6.

He started with an account balance of -$6 and paid the debt off so his account balance is 0. If d is the amount money he deposited to pay off his debt, then

−6+d=0

He deposited $6.

answer of 2b)

If he spends more than he has in his account, then we are subtracting a bigger number from a smaller number, and the result is negative. ... The opposite of a positive number is a negative number, so it makes sense to represent his account balance with a negative number when he owes money to the bookstore.

please give me brainliest:))

To answer this question, we need to know the median and upper quartile of the data set. Once we have these values, we can determine what percentage of the data falls to the right of the median and to the left of the upper quartile.
Let's say the median of the data set is 50 and the upper quartile is 75. To find the percentage of measurements to the right of the median, we need to look at the data values that are greater than 50 and divide that number by the total number of measurements. Let's say there are 40 data values greater than 50 and a total of 100 measurements.

Then, the percentage of measurements to the right of the median would be:

(40/100) x 100% = 40%

To find the percentage of measurements to the left of the upper quartile, we need to look at the data values that are less than or equal to 75 and divide that number by the total number of measurements. Let's say there are 60 data values less than or equal to 75 and a total of 100 measurements. Then, the percentage of measurements to the left of the upper quartile would be:

(60/100) x 100% = 60%


Your answer:
1. 40% of the measurements lie to the right of the median.
2. 60% of the measurements lie to the left of the upper quartile (Q3).

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Answer:the pairs are not a quadratic eqation

Step-by-step explanation:

The differences between the differences of the y value are not consistent

The set of ordered pairs (5,7),(7,11),(9,14),(11,18) does not represents a quadratic function

A relation is a function if it has only One y-value for each x-value.

Given,

The set of ordered pairs

(5,7),(7,11),(9,14),(11,18)

We have to determine whether the  (5,7),(7,11),(9,14),(11,18) is quadratic function or not.

Start by representing the function as an x-y table

x:-  5 || 7 || 9 || 11

y:-  7 ||  11 || 14 || 18

The difference between the y values is not same

11-7=4

14-11=3

18-14=4

For the function to be quadratic, the above difference must be the same and since they are not, then the function does not represent a quadratic function.

Hence, the set of ordered pairs (5,7),(7,11),(9,14),(11,18) does not represents a quadratic function

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The total cost of the meal, given the subtotal, the tax and the tip, is $ 34. 65.

To find the total cost, first calculate the tip. To calculate the tip, multiply the subtotal by the tip rate:

= 27. 07 x  0. 18

= $ 4. 87

Then, calculate the tax. To calculate the tax, multiply the subtotal by the tax rate :

= 27. 07 x 0. 10

= $ 2. 71

The total cost can be found when you add the subtotal, tax, and tip :

= 27. 07 + 2. 71 + 4. 87

= $ 34. 65

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Full question is:

What is the total cost ?

Subtotal: 27.07

Tax (10%)

Tip (18%)

Answer:

8.98 miles/hour

Step-by-step explanation:

To find the speed of the vehicle in miles per hour, you can first convert the number of rotations per minute to the number of rotations per hour by multiplying it by 60. So, the number of rotations per hour is 800 rotations/minute * 60 minutes/hour = <<800*60=48000>>48000 rotations/hour.

Then, you can use the formula for the circumference of a circle to find the distance traveled by one of the wheels in one rotation: C = 2 * pi * r, where C is the circumference, pi is approximately 3.14, and r is the radius of the wheel. So, the circumference of each wheel is 2 * 3.14 * 16 inches = <<23.1416=100.48>>100.48 inches.

Then, you can use the formula for speed: distance traveled / time traveled. Since the distance traveled by one of the wheels in one rotation is 100.48 inches, and there are 48000 rotations per hour, the distance traveled by one of the wheels in one hour is 48000 rotations/hour * 100.48 inches/rotation = 4.81E5 inches.

To convert this distance to miles, you can divide it by the number of inches per mile: 4.81E5 inches / (12 inches/foot * 5280 feet/mile) = 8.98 miles/hour. This is the speed of the vehicle.

27.75 feet

Step-by-step explanation:

d = 2r = 8 => r = 4 feet

V = 464.603 = πr²h/3

464.603·3=3.14·16·h =>

h = 1393.809 : 50.24

h ≈ 27.75 feet

we know it has a diameter of 8, thus its radius is half that or namely 4.

\(\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} h=height\\ r=radius\\[-0.5em] \hrulefill\\ r=4\\ V=464.603 \end{cases}\implies 464.603=\cfrac{\pi (4)^2 h}{3} \\\\\\ 3(464.603)=\pi (4)^2 h\implies \cfrac{3(464.603)}{\pi (4)^2}=h\implies 27.73\approx h\)

This retirement planning scenario involves saving a fixed amount per year, earning a specified interest rate, and determining the final retirement account balance, lump-sum investment amount, annual withdrawal in retirement, and required interest rate for a specific savings goal. The details are as follows:

a. retirement account balance of approximately $536,144.37

b. The lump sum required would be approximately $60,319.79.

c. With an account balance of $536,144.37, the annual withdrawal would be approximately $46,914.90.

d.  It would take approximately 16 years until the savings are depleted.

e. Through trial and error, it can be determined that an interest rate of approximately 10.47% is needed to achieve the desired savings goal.

a. The retirement account balance on the day of retirement can be calculated by using the formula for the future value of an ordinary annuity. In this case, saving $4,500 per year for 35 years with an annual interest rate of 5.5% will result in a retirement account balance of approximately $536,144.37.

b. To achieve the same retirement savings goal with a lump-sum investment today, the present value of an ordinary annuity formula can be used. The lump sum required would be approximately $60,319.79.

c. Assuming a retirement duration of 17 years and a desire to exhaust the savings with the 17th withdrawal, the annual withdrawal can be calculated using the formula for the annuity payment. With an account balance of $536,144.37, the annual withdrawal would be approximately $46,914.90.

d. If the decision is made to withdraw $90,000 per year in retirement, the number of years until the savings are exhausted can be determined using the formula for the number of periods in an annuity. It would take approximately 16 years until the savings are depleted.

e. If the maximum affordable annual saving is $900 and the goal is to retire with $1,000,000, the required interest rate can be calculated using the formula for the rate of return. Through trial and error, it can be determined that an interest rate of approximately 10.47% is needed to achieve the desired savings goal.

These calculations provide insights into the financial aspects of retirement planning and can help individuals make informed decisions about their savings, investments, and withdrawal strategies based on their specific goals and constraints.

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Answer:

25.1327412287

Step-by-step explanation:

The cell that is indicated by the arrow on the right would fall into population c of the circled areas.

We know that the scatterplot that is pictured below represents results from a normal peripheral blood sample that was analyzed using flow cytometry, the cell that is indicated by the arrow on the right would fall into population c of the circled areas.

Red blood cells are equipped with iron, which binds to oxygen molecules and enables them to be transported throughout the body. In terms of immunity, these cells break down in the presence of harmful pathogens, releasing free radicals that can help to destroy them. Leukocytes play a crucial role in fighting off disease and foreign invaders. Granulocytes, including eosinophils, basophils, and neutrophils, are responsible for battling fungi, bacteria, and parasites, as well as responding to allergic reactions. Meanwhile, the agranulocytes, which include monocytes, lymphocytes, and macrophages, differentiate into macrophages and target B cells, T cells, and natural killer cells, while also performing the important function of phagocytosis. Thrombocytes are responsible for maintaining the body's blood volume and preventing bleeding by promoting clot formation. This process is known as hemostasis. Finally, blood plasma serves as the transport medium for all of the components of peripheral blood, with carbon dioxide playing a key role in enabling the removal of waste and other excretory matter from the body.

The circulating blood of the body is known as peripheral blood. It is comprised of red blood cells, white blood cells, and platelets. These cells are suspended in plasma and circulated throughout the body.

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The equation of the perpendicular bisector of the line segment connecting the points (-3,8) and (-5,4) is y = -1/2x + 4. This is obtained by finding the midpoint, determining the slope of the line segment, finding the negative reciprocal slope, and using the point-slope form of a line.

The equation of the perpendicular bisector of the line segment connecting the points (-3,8) and (-5,4) can be found by following these steps:

1. Determine the midpoint of the line segment connecting the two points. The midpoint formula is given by:
  Midpoint = [(x1 + x2) / 2, (y1 + y2) / 2]

  Plugging in the values (-3,8) and (-5,4), we get:
  Midpoint = [(-3 + -5) / 2, (8 + 4) / 2]
           = [-8/2, 12/2]
           = [-4, 6]

  Therefore, the midpoint is (-4, 6).

2. Find the slope of the line segment connecting the two points. The slope formula is given by:
  Slope = (y2 - y1) / (x2 - x1)

  Plugging in the values (-3,8) and (-5,4), we get:
  Slope = (4 - 8) / (-5 - (-3))
        = -4 / (-5 + 3)
        = -4 / (-2)
        = 2

  Therefore, the slope of the line segment is 2.

3. Since the perpendicular bisector has a negative reciprocal slope, the slope of the perpendicular bisector is -1/2.

4. Use the point-slope form of a line to find the equation of the perpendicular bisector. The point-slope form is given by:
  y - y1 = m(x - x1)

  Plugging in the values (-4, 6) for (x1, y1) and -1/2 for m, we get:
  y - 6 = -1/2(x - (-4))
  y - 6 = -1/2(x + 4)
  y - 6 = -1/2x - 2
  y = -1/2x + 4

  Therefore, the equation of the perpendicular bisector is y = -1/2x + 4.

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Answer:

C and A

Step-by-step explanation:

Since we need to find the common factors like 107/100 - 1.07 the X cancel out and we are left with the answers c and a

Answer:

The total price Leila pays for the model is 1.07x dollars .

Option (C) is correct .

Step-by-step explanation:

Leila is buying a dinosaur model.

The price of the model is x dollars, and she also has to pay a 7% tax.

7% is written in the decimal form .

= 0.07

Tax price = 0.07 × Cost of the model

               = 0.07x

Total price Leila pays for the model =  Cost of the model + Tax price

Putting all the values in the above

Total price Leila pays for the model = 0.07x + x

                                                          = 1.07x dollars

Therefore the total price Leila pays for the model is 1.07x dollars .

Option (C) is correct

Answer:

13.7

Step-by-step explanation:

A{2} + B{2} =C{2} \\

6{2} +B{2} =15{2} \\

6x6+B(2) =15x15\\

36+B(2)=225\\

            -36\\

            \sqrt{189} =13.7

So there are 6 permutations possible with the letters "ABC". These are: ABC, ACB, BAC, BCA, CAB, CBA.

Permutations are a way of arranging objects in a specific order. The number of permutations of a set of n distinct objects is given by n!, where n! denotes the factorial of n.

In the case of the letters "ABC", there are three distinct objects: A, B, and C. Therefore, the number of permutations possible with these letters is:

3! = 3 x 2 x 1 = 6

This means that there are 6 possible ways of arranging the letters "ABC" in a specific order. These permutations are:

ABC

ACB

BAC

BCA

CAB

CBA

To see why there are 6 possible permutations, consider the first position. There are three letters to choose from, so there are three possible choices for the first position. Once the first letter is chosen, there are two letters left to choose from for the second position. Finally, there is only one letter left to choose from for the third position. Therefore, the total number of permutations is:

3 x 2 x 1 = 6

In summary, the number of permutations of a set of n distinct objects is given by n!, and in the case of the letters "ABC", there are 3! = 6 possible permutations: ABC, ACB, BAC, BCA, CAB, and CBA.

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The length of the curve r(t) = 7t, 3 cos(t), 3 sin(t), -2 ≤ t ≤ 2 is 4√58.

From the question, it is given that,

r(t) = 7t, 3 cos(t), 3 sin(t)

Let x = 7t, y = 3cos(t), z = 3 sin (t)

Now, we are going to use arc length formula,

\(L=\int\limits^a_b \sqrt{(x')^2+(y')^2+(z')^2} \, dt\)

By finding the derivative,

x’= 7, y’ = -3 sin(t), z’ = 3 cos (t)

By substituting the values we get,

\(L=\int\limits^2_-_2 \sqrt{(7)^2+(-3 sin(t)^2)+(3cos(t)^2)} \, dt\)

Then, by solving:

\(L=\int\limits^2_-_2 \sqrt{(7)^2+9t} \, dt\)

L = √58 × 2 - (-2√58)

L = 4√58

Therefore, the length of the curve is 4√58.

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The given question is improper form, so i take similar question:

Find the length of the curve r(t) = 7t, 3 cos(t), 3 sin(t) , -2 ≤ t ≤ 2

Answer:

\(h(x)=\frac{1}{5}x\)

Step-by-step explanation:

\(6x+y=4x+11y\\\\6x-4x=11y-y\\\\2x=10y\\\\y=\frac{2x}{10}\\\\y=\frac{1}{5}x\)

so h(x) is

\(h(x)=\frac{1}{5}x\)

⇒The shape in the picture is a pentagon because it has five sides.

⇒ The sum of the interior angles of a pentagon is 540°

meaning:

\(4x+(3x+3)+(5x-2)+103+100=540\\\)

⇒As a results you can see above we have an equation that can enable us to solve for x.

⇒Solving for x we have

\(4x+3x+5x+3-2+103+100=540\\\)

⇒Now let us simplify like terms since we have grouped them already.

\(12x+204=540\\12x=540-204\\12x=336\\\frac{12x}{12} =\frac{336}{12} \\x=28\)

∴ x=28°

Note I have written the equation above, as the first step.

3 because 6x3 +2 =20 and -3+23=20

Answer:

AC=20

Step-by-step explanation:

6y+2 = -y+23

move y to one side

7y+2=23

move 2 to the other side

7y=21

divide by 7 on both sides to isolate y

y=3

Substitute y in

-3+23=20

Check your work,18+2=20

Answer:

x^2 + y^2 = z^2

There are infinitely many choices for whole numbers x, y, and z.

The equation of exponential regression that fits the data is given as follows:

y = 1.5(2.5)^x.

An exponential function has the definition presented as follows:

y = ab^x.

In which the parameters are given as follows:

To obtain the equation of exponential regression, we must insert the points of the data-set into a calculator.

The points are given as follows:

(1, 3.75), (4, 9.375), (3, 23.438), (4, 58.594), (5, 146.484).

Inserting these points into a calculator, the equation is given as follows:

y = 1.5(2.5)^x.

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Answer:

B. There is no solution to the equation.

Step-by-step explanation:

Every step in the solution is correct.

Since the last line is a false statement, 5 = 1, that means there is no solution.

Answer: B. There is no solution to the equation.

Answer:

-3x^3y^2 - 4x^2y + 8y.

Step-by-step explanation:

When we distribute the negative sign to the terms inside the parentheses, we get:

(2x^3y^2 − 8x^2y + 4y) − (5x^3y^2 − 4x^2y − 4y) = 2x^3y^2 − 8x^2y + 4y - 5x^3y^2 + 4x^2y + 4y

Now, we can combine like terms. The terms with x^3y^2 are 2x^3y^2 and -5x^3y^2, which combine to give -3x^3y^2. The terms with x^2y are -8x^2y and 4x^2y, which combine to give -4x^2y. The terms with y are 4y and 4y, which combine to give 8y. Therefore, we have:

(2x^3y^2 − 8x^2y + 4y) − (5x^3y^2 − 4x^2y − 4y) = -3x^3y^2 - 4x^2y + 8y

Therefore, the simplified expression is -3x^3y^2 - 4x^2y + 8y.

The expression can be simplified by subtracting the coefficients of matching terms from the first and second parentheses. The simplified expression is -3x3y2 - 4x2y + 8y.

To simplify the expression (2x3y2 − 8x2y + 4y) − (5x3y2 − 4x2y − 4y), you must subtract each term in the second parentheses from the corresponding term in the first. In this case, it works as follows:

So, the simplified expression becomes −3x3y2 − 4x2y + 8y.

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