A cylindrical tube 14.5 cm high and 4.5 cm in diameter is used to collect blood samples. how many cubic decimeters (dm3) of blood can it hold (v of a cylinder = r2h)?

f(x)>=-7

Functions:

Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are ubiquitous in mathematics.

If a variable y is so related to a variable x that whenever a numerical value is assigned to x, there is a rule according to which a unique value of f(x)is determined, then f(x) is said to be a function of the independent variable x

Given :

f(x) = -3|x+1|-4

using the table of values for g(x) = |x|

Solution :

f(x) = -3|x+1|-4

f(x) = -3|g(x)+1|-4

f(x) = -3||x|+1|-4

which means |x| is always positive |x|>0

f(x) = -3||x|+1|-4

f(x) = -3x-3-4

f(x) = -3x-7

f(x)>=-7

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Magnitude of the resultant vector = 31.3 lb and  Angle of the resultant vector = 23.3o are  the magnitude of the resultant force and the angle .

what is magnitude of forces?

a = 26 lb

Angle made by the vector 'a' = θ1 = 45o

Component of vector 'a' in the X-direction = ax = aCosθ1 = (26)Cos(45) = 18.38 lb

Component of vector 'a' in the Y-direction = ay = aSinθ1 = (26)Sin(45) = 18.38 lb

b = 12 lb

Angle made by the vector 'b' = θ2 = 30o

Component of vector 'b' in the X-direction = bx = bCosθ2 = (12)Cos(30) = 10.39 lb

Component of vector 'b' in the Y-direction = by = -bSinθ2 = -(12)Sin(30) = -6 lb

Let the resultant vector be 'c'

Component of vector 'c' in the X-direction = cx

cx = ax + bx

cx = 18.38 + 10.39

cx = 28.77 lb

Component of vector 'c' in the Y-direction = cy

cy = ay + by

cy = 18.38 + (-6)

cy = 12.38 lb

c=104)2 + (cy)

c= (28.77)2 + (12.38)2

c = 31.3 lb

Angle made by vector 'c' = θ

Tanθ =

Tanθ = 12.38 28.77

θ = 23.3o

a) Magnitude of the resultant vector = 31.3 lb

b) Angle of the resultant vector = 23.3o

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THE COMPLETE QUESTION IS  -

Find the magnitude of the resultant force and the angle it makes with the positive x-axis. (Let a = 26 lb and b = 12 lb. Round your answers to one decimal place.)

This shows that a reasonable domain for this function is x > -5/6

The domain of a function is a value of the independent variable of the function for which it exists.

Given the equation below:

f(x) = 12x + 10

Since the function represents the expression used calculate a person's daily paycheck, then the function f(x) must be greater than zero;

12x + 10 > 0

12x > -10
x > -10/12
x > -5/6

This shows that a reasonable domain for this function is x > -5/6

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Answer: x=-10

Step-by-step explanation:

LMN=LMF+FMN

125=x+48+x+97

125=2x+48+97

125=2x+145

2x=-20

x=-10

hi

area of  circle is  π* radius²  

as radius is half diameter, and as diameter is  22 , so radius is  22 /2 = 11 cm

so area is  11²π    and  11² = 121 then   area is  121π

as it is say to use  3.14 for pi , then 121*3.14 =  379.94

but 379.94 is the area of the whole circle , and we only have half.  

so  :  379.94 / 2 = 189.97

area of  semi circle is  189.97

The steps that you should take to approximate the total amount that Gwinnett County must pay teachers for the whole year are:

The approximate amount that is paid to teachers in will be based on the average wages that is paid to teachers in Gwinnett County. You can find this out by conducting an anonymous survey of different levels of teacher salaries in Gwinnett County or you can find it from the relevant Gwinnett County government department.

Then, look for records to show the number of teachers in Gwinnett County.

Multiply these two figures and you will then get the approximate the total amount that Gwinnett County needs to pay its teachers.

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Answer:

8

Step by step :

0.6x = 0.8x-1.1-0.5

0.6x-0.8x = -1.6

-0.2x = -1.6

x = -1.6/-0.2

x = 8

El precio unitario del terreno rectangular es $ 32 por cada metro cuadrado.

Tenemos un terreno rectangular con dimensiones y costo total conocido. El área de un rectángulo (A), en metros cuadrados, es igual al producto de su largura (l), en metros, y su anchura (a), en metros, cuya fórmula se presenta a continuación:

A = a · l

El precio del metro cuadrado se obtiene dividiendo el precio del terreno por su área:

A = (17.50 m) · (15.60 m)

A = 273 m²

c = C / A

c = 8736 / 273

c = $ 32 / m²

El precio unitario del terreno rectangular es $ 32 por cada metro cuadrado.

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A plan which would give Genesis the lowest monthly payment is: C. The monthly payment on a bank loan would be $317.50, which is lower than the monthly credit card payment.

In order to determine the plan which would give Genesis the lowest monthly payment, we would calculate the simple interest earned over each of the time period.

Mathematically, the simple interest earned can be calculated by using this formula:

A = P(1 + rt)

Where:

Substituting the given parameters into the formula, we have;

A = 9000[1 + (0.09 × 3)]

A = 9000[1 + 0.27]

A = 9000 × 1.27

Future value, A = $11,430.

Next, we would calculate the monthly payment over a period of 36 months as follows:

Monthly payment = Future value/Time

Monthly payment = 11,430/36

Monthly payment = $317.50.

Similarly, we would calculate the compound interest earned on the credit card by using this formula:

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

A = 9000[1 + (0.18/12)]⁽¹² ˣ ⁷⁾

A = 9000[1 + 0.015]⁸⁴

A = 9000 × 1.015⁸⁴

A = 9000 × 3.49258954

Future value, A = $31,433.31.

Next, we would calculate the monthly payment over a period of 84 months as follows:

Monthly payment = Future value/Time

Monthly payment = 31,433.31/84

Monthly payment = $372.21.

In this context, we can reasonably infer and logically deduce that the plan which would give Genesis the lowest monthly payment is the monthly payment on a bank loan.

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Answer:

C

Step-by-step explanation:

got 100% on exam

a) the formula for r is r = (a/p - 1)/r

b) The interest rate for the principal is $1000, the time is 2 years and simple inters $1080 is 0.04

c) The formula for p is p = a/1+rt

Simple Interest:

Simple interest is the process of multiplying the daily interest rate by the principal by the number of days that elapse between payments.

Given,

the amount a of money in an account after simple interest has been earned is given by the formula

=> a = p + prt

where

p is the principal,

r is the annual interest rate in decimal form, and

t is the time in years.

Here we need to find the following:

a. solve the formula for r

b. the amount of money in an account after interest has been earned is $1080, the principal is $1000, and the time is 2 years. what is the annual interest rate?

c. solve the formula for p.

a) The formula for r is calculated by moving the other elements and hold on r.

Then, the given formula,

=> a = p + prt

=> a = p (1 + rt)

=> a/p = 1 + rt

=> a/p - 1 = rt

=> r = (a/p - 1)/r

b) The given values are

p = $1000

t = 2

a = $1080

Now apply the values on the formula r to find the value of it,

=> r = ([1080/1000] - 1)/2

=> r = (1.08 - 1) /2

=> r = 0.08/2

=> r = 0.04

c) The formula for p can be derived as follows:

=> a = p + prt

=> a = p(1+rt)

=> p = a/1+rt

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Answer:

-3/2

Step-by-step explanation:

slope = (y_2 - y_1)/(x_2 - x_1)

slope = (3 - (-6))/(-2 - 4)

slope = (3 + 6)/(-6) = 9/(-6)

slope = -3/2

Answer:

Step-by-step explanation: 3/-2

Answer:

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

We see the exterior angle measures given with one unknown.

Recall the sum all exterior angles of a polygon is 360°.

Set up equation and find the unknown value:

Answer:

Step-by-step explanation:

Lets see here, this question is a bit confusing to understand, But Ill work at it for you ^^

So at that first line that says ones, you are going to want the middle lint horizontal on that vertical line to be labeled 5.

Slightly above that, more near to the top you are going to want to write 85.

On the second Line drawn you are going to want to label the middle horizontal line 4

Above that, near the top write 854

The rounded number of 8.546 Would Be 9, Because since the tens place is a 5, you round up a number.

for question 3. a

the answer would be   18.4 if you round to the tenths, or 18.39

This is because the number in the thousands place is a 6, and thats 5 or above so you round the hundreths up 1 to become 9, and 9 is 5 or above so the 3 would become a 4(only if rounding to the tenths!!)

For question 3. b

1 meter = 100 centimeters, so we would multiply 18.386 by 100

That would shift the decimal point to the right 2 places (if you don't want to have to do the multiplying, rule of thumb is one 0 shifts one place to the right, you shift however many places as there are zeroes)

This would give us 1838.6 centimeters.

And I cant read question 4(sorry)

Hope this helps!!

So S.P of the product is 10.4% .

We have been given C.P of a product is E950 and loss percentage is 6%,.

So the starting price is the the price for which something actually sells.

And the cost price represents the specific value that represents unit price purchased. This value is used as a key factor in determining profitability, and in some stock market theories it is used in establishing the value of stock holding.

A saving account has a rate of interest of 10 denoted by our which we can write equal to 0.1 in decimal form and we have to calculate the effective annual yield yield if the interest is calculated quarterly, that means we have the number of compounds per year denoted by M equal to four. The effective yield denoted by capital Y is given by the formula one plus are divided by M. Hold raised to the Power M -1. After putting in the values of R and M we get one plus 0.1 divided by four. Hold raised to the Power 4 -1, equal to one plus 0.25 raised to the power four minus one which is equal to 1.025 raised to the Power 4 -1. On simplifying this further, we get the value equal to 0.1038. Now this value is in the decimal form to convert it into percentage. We will multiply this value by 100. That means we have like 0.1038 multiplied by 100 Which gives us 10.38. And after rounding it off to one decimal place, we get the value 10.4%.

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We're given:

This means that the consecutive odd integers will be m + 2 and m + 4.

If we add all their ages, it will look like this:

[tex]m+(m+2)+(m+4)\\= m+m+2+m+4\\= 3m+2+4\\= 3m+6[/tex]

[tex]3m+6[/tex]

The value of P(t) is  p(t) = -70 cos(10xπ t) + 165.

Pressure in mathematics or physics is defined as force per unit area. The pressure exerted by a solid object which is resting on top of a solid surface is the weight divided by the area of the object . SI unit of force is Newton (N).

range of pressure =  low of 90 to a high of 230

As, Pressure oscillating ten times every hour. So period n = .0.2 min.

Now, P = f(t) = Acos(Bt) + D

Amplitude = (HP - LP / 2

= (230- 90) / 2

= 140/ 2

= 70

Period B = 2xpi / 0.2 = 10xπ

and, D= (Ph + Pl) / 2

= (230+ 90) / 2

= 330/ 2

= 165

Hence, p(t) = -70 cos(10xπ t) + 165.

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Answer:

Step-by-step explanation:

According to the information, first pick with returning make the question easy, it means that fist pick and second pick are independent events, we want to calculate the probability of same number or same color so 'or' means the addition method in statistics, from above second card has same number or same color decide the probability, not the first picked card,

P = P(same number) + P(same color) = 1/3 + 1/3 = 2/3

Or you can draw a tree diagram

Answer:

The x is 2 and the y is 1. So, it's 1/2

Step-by-step explanation:

x = 2

y = 1

Slope goes y,x,

Answer:

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

Given AP:

We observe that:

Let the three terms be aₙ, aₙ₊₁, aₙ₊₂.

Use nth term formula:

The following two terms are:

Their sum is 111, set an equation and solve for n:

The three terms are 9th, 10th and 11th terms and they are:

Answer: -.5 OR -.1, -.2, -.3, -.4, -.5, -.6,-.7,-.8,-.9

Step-by-step explanation: The simple answer is -.5, it is right in the middle of 0 and -1. The answer number is everything in between.

The value of x in (x,7) is -1

Mid Point of a line segment is defined as the point which divides the line segment in equal ratio that means divides in two equal parts.

Let one end point of line segment be A(a,b) and other end be B(c,d)

then its mid point X(x,y) will be given by [tex]x=\frac{a+c}{2} , y=\frac{b+d}{2}[/tex]...….(1)

Given the points A(3,-3) and B(x,7) and the midpoint X(1,2)

The  mid point [tex](1,2)=(\frac{3+x}{2} ,\frac{-3+7}{2} )[/tex]...............using (1)

On comparing the x coordinate we get

[tex]1=\frac{3+x}{2}[/tex]

On cross multiplying we get

[tex]2=3+x[/tex]

On solving further

[tex]x=-1[/tex]

Therefore ,  the value of x in (x,7) is -1.

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Both functions are the solution to the given Laplace solution.

Given Laplace's equation: [tex]u_{x x}+u_{y y}=0[/tex]

(1) [tex]u=e^{-x} \cos y-e^{-y} \cos x[/tex]

Differentiate with respect to x as follows:

[tex]u_x=-e^{-x} \cos y+e^{-y} \sin x\\u_{x x}=e^{-x} \cos y+e^{-y} \cos x[/tex]

Differentiate with respect to y as follows:

[tex]u_{x x}=e^{-x} \cos y+e^{-y} \cos x\\u_{y y}=-e^{-x} \cos y-e^{-y} \cos x[/tex]

Supplement the values in the given Laplace equation.

[tex]e^{-x} \cos y+e^{-y} \cos x-e^{-x} \cos y-e^{-y} \cos x=0[/tex]

The given function in this case is the solution to the given Laplace equation.

(2) [tex]u=\sin x \cosh y+\cos x \sinh y[/tex]

Differentiate with respect to x as follows:

[tex]u_x=\cos x \cosh y-\sin x \sinh y\\u_{x x}=-\sin x \cosh y-\cos x \sinh y[/tex]

Differentiate with respect to y as follows:

[tex]u_y=\sin x \sinh y+\cos x \cosh y\\u_{y y}=\sin x \cosh y+\cos x \sinh y[/tex]

Substitute the values to obtain:

[tex]-\sin x \cosh y-\cos x \sinh y+\sin x \cosh y+\cos x \sinh y=0[/tex]
The given function in this case is the solution to the given Laplace equation.

Therefore, both functions are the solution to the given Laplace solution.

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The correct question is given below:
Determine whether each of the following functions is a solution of Laplace's equation uxx + uyy = 0. (Select all that apply.) u = e^(−x) cos(y) − e^(−y) cos(x) u = sin(x) cosh(y) + cos(x) sinh(y)

Answer: 182

Step-by-step explanation:

Coordinates of the point that partitions the line into the given ratio is; (1, 5)

If the ratio dividing a line segment represents a:b, then the formula to divide  the line segment is;

Coordinates = {(bx₁ + ax₂)/(a + b), (by₁ + ay₂)/(a + b)}

From our question, we have the ratio as;

1:2. Thus; a = 1 and b = 2

Our coordinate of CD is; C(-1,7) and D(5, 1)

Thus;

x₁ = -1

x₂ = 5

y₁ = 7

y₂ = 1

Coordinates of the point that partitions the line into the given ratio is;

Coordinate = {(2*-1 + 1*5)/(1 + 2), (2*7 + 1*1)/(1 + 2)}

Coordinate = (3/3, 15/3) = (1, 5)

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Answer:

you should use words that can help some people can,t under stand so this is what

The equation of a line that is parallel to y=4x-3 and passes through the point (7, 10) is 4x - y = 18.

Given that;

First, we determine the slope of the line using the slope intercept form.

y = mx + b

m is slope and b is y-intercept.

y = 4x - 3

Comparing with the slope intercept form equation,

Slope m = 4

Now, to determine the the equation of line parallel, the slopes must equal.

We find the line using the point slope formula.

y - y₁ = m(x - x₁)

Plug in m = 4, x₁ = 7, y₁ = 10 and simplify.

y - 10 = 4(x - 7)

y - 10 = 4x - 28

-10 + 28 = 4x - y

4x - y = -10 + 28

4x - y = 18

Therefore, the equation of a line that is parallel to y=4x-3 and passes through the point (7, 10) is 4x - y = 18.

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Answer:

I think 1,000??

Answer:

your your question is wrong please make sure