Solve M = 5rt^2- 2rv for v.

Can someone please help with this I’ll put it to 100 points

Answers

Answer 1

Answer:

(M-5rt^2)/(-2r) =v

Step-by-step explanation:

M = 5rt^2- 2rv

Subtract  5rt^2 from each side

M-5rt^2 = 5rt^2- 2rv -5rt^2

M-5rt^2 = - 2rv

Divide each side by -2r

(M-5rt^2)/(-2r) =- 2rv / (-2r)

(M-5rt^2)/(-2r) =v

Answer 2

Answer:

[tex]v = -\frac{M-5rt^2}{2r}[/tex]

Step-by-step explanation:

[tex]M = 5rt^2 - 2rv[/tex]

Switch sides

[tex]5rt^2-2rv=M[/tex]

Subtract [tex]5rt^2[/tex] from both sides

[tex]5rt^2 - 2rv-5rt^2= M -5rt^2[/tex]

Simplify

[tex]-2rv = M - 5rt^2[/tex]

Divide both sides by [tex]-2r[/tex]

[tex]\frac{-2rv}{-2r} =\frac{M}{-2r} -\frac{5rt^2}{-2r}[/tex]

Simplify

[tex]-\frac{M-5rt^2}{2r}[/tex]


Related Questions

What is the value of (x – 3) if – 5(3x – 9) = -15?

Answers

(X-3)(-15x+45)=-15
-15x2 +45x+45x-135=-15
-15x2+90x=-15+135
-15x2+90x=120

The value of the required expression (x- 3 ) using the given equation -5(3x - 9) = -15 is equal to 1.

Let's solve for the value of "x" in the given equation:

-5(3x - 9) = -15

First, distribute the -5 on the left side of the equation:

-15x + 45 = -15

Now, subtract 45 from both sides to isolate the term with "x":

-15x = -60

Divide both sides by -15 to solve for "x":

x = 4

Now that we have the value of "x," we can find the value of (x - 3):

x - 3

= 4 - 3

= 1

Therefore, the value of (x - 3) is 1.

learn more about value here

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#SPJ3

What is the volume of the following rectangular prism?

Answers

Answer:

[tex]volume \: of \: rectangular \: prism = base \: area \: \times height \\ \\ = length \times width \times height[/tex]

is 9.407 a natrual number?

Answers

Answer:

Sorry about that, I did not see the decimal. As liamly said, it is positive but is not a natural number because of the decimal.

Step-by-step explanation:

What is the following difference?
230 192ab -5 V81365

Answers

2ab (3)/192ab^2 - 5 (3)/81a^4b^5

2ab (3)/64*3*a*b^2 - 5 (3)/27*3*a^3*a*b^3*b^2

2*4*a*b (3)/3ab^2 - 5*3*a*b (3)/3ab^2

8ab (3)/3ab^2 - 15ab (3)/3ab^2

-7ab (3)/3ab^2

After the / is under the cube root

A garden table and a bench cost $853 combined. The garden table costs $47 less than the bench. What is the cost of the bench?

Answers

Answer:

the cost of the bench is $806

Step-by-step explanation:

853 minus 47 is 806

The sixth grade teachers bought food for a reward party. They purchased 64 bags of chips and 80 bottles of water . What is the largest number of students that can be invited to the party so they each get the same amount of chips and water?

Answers

Answer:

64

Step-by-step explanation:

Since each student must get the same amount of chips and water, the ratio of the number of chips to water received by each student is 1:1.

Hence, a maximum of 64 students can be invited to the party, as the bags of chips is lower than that of the number of bottles of water, and we take it as a 64.

Darnelle works for a real estate agent. She receives a basic wage of $250 per week plus commission on sales. The rate of commission is variable. For houses up to $300,000 the commission is 0.5%. For houses over $300,000, the commission is an additional 0.25% on the amount over $300 000. How much pay did she receive in the week she sold a house for
a. $280 000
b. $428 000

Answers

Answer:

For option A she would receive $1,690. For house B, she would receive $2,070 for a weeks worth of pay.

Step-by-step explanation:

Please mark Brainliest if this helped :)

Calculate the area of this figure. Round your answer to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

The figure is divided into a rectangle and a right-triangle.

The area of the figure is the sum of the individual areas of the rectangle and triangle

Area of rectangle = Length x Width = 10 ft x 8 ft = 80 ft²

Area of triangle = 1/2 x Base X Height = 1/2 x 6 ft x 8 ft =24ft²

Hence, the area of the figure is:

80 ft²+ 24ft² = 104 ft²

Answer:

104 ft^2

Step-by-step explanation:

The figure consist a rectangle and a triangle

to calculate triangle's area we multiply height and base then divide it  by two

the height of the triangle is 8 ft (the given is a special right triangle)

8*6/2 = 24 ft^2

to calculate the area of the rectangle we multiply width and length

8*10 = 80 ft^2 the total area of the figure is :

24 + 80 = 104 ft^2

Find the volume of the cylinder.
Either enter an exact answer in terms of it or use 3.14 for T.

Answers

Answer:

188 units cubed

Step-by-step explanation:

The volume formula for a cylinder :
V= pi R^2h

Radius = 5pi
Height = 6

V= pi (5)^2 times 6 = 471.2389

0.189 divided by 1.75=

Explain your answer

Answers

Answer:

0.189x1000=189

1.75x1000=1750

189÷1750 = 0.108

4x-2=18x+5
Show ur work

Answers

x = -½

Step-by-step explanation:

[tex]4x - 2 = 18x + 5[/tex]

Collect like terms and simplify

[tex] - 2 - 5 = 18x - 4x \\ - 7 = 14x[/tex]

Divide both sides of the equation by 14

[tex] \frac{ - 7}{14} = \frac{14x}{14} \\ - \frac{1}{2} = x[/tex]

Answer:

x = -1/2

Step-by-step explanation:

4x-2=18x+5

-2-5=18x-4x

-7=14x

-7/14=14/14x

-1/2=x

PLEASE ANSWER QUICK 70 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Identify the property that justifies each step asked about in the answer area below.
Line 1: (9+x)x
Line 2: x(9+x)
Line 3: x(x+9)


Line 1 to Line 2:______________
Line 2 to Line 3:_______________

Answers

Line 1 to 2: Commutative Property of Multiplication, because all that changed was the order of the things being multiplied.
Line 2 to 3: Commutative Property of *Addition*, because all that changed was the order of the things being added.

All that changed in either step was the ordering of the things being multiplied or added. That’s the commutative property.

Answer:

The answer above me is correct!

Step-by-step explanation:

Give them BRAINLIEST! have a good day<3 :)

Approximately 54% of mathematics students do their homework on time. In a class of 250 students, what is the mean, variance, and standard deviation if we assume normality and use the normal distribution as an approximation of the binomial distribution

Answers

Answer:

135

Step-by-step explanation:

250 x 54%=135

solve the equation 6 = 5 x -2

Answers

Answer:

8/5 = x

Step-by-step explanation:

6 = 5x - 2

~Add 2 to both sides

8 = 5x

~Divide 5 to both sides

8/5 = x

Best of Luck!

equivalent expressions-8(3r-4)-6

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\text{-8 (3r - 4) - 6}[/tex]

[tex]\huge\text{= -8(3r) + (-8)(-4) - 6}[/tex]

[tex]\huge\text{= -24r + 32 - 6}[/tex]

[tex]\huge\boxed{\textsf{COMBINE the LIKE TERMS}}[/tex]

[tex]\huge\text{= -24r + 6}[/tex]

[tex]\huge\boxed{\mathsf{Answer: {= -24r + 6}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Simplify (3xy)^5/x^3

Answers

Answer:

[tex]243 {x}^{2} {y}^{5} [/tex]

Step-by-step explanation:

[tex] \frac{(3xy {)}^{5} }{ {x}^{3} } [/tex]

[tex] \frac{243 {x}^{5} {y}^{5} }{ {x}^{3} } [/tex]

simplify:

[tex]243 {x}^{2} {y}^{5} [/tex] ✅

Multiply.
(b - 7)(2b +9)
(b - 7)(2b +9)=(Simplify your answer.)

Answers

Answer:

[tex]2 {b}^{2} - 5b - 63[/tex]

Step-by-step explanation:

[tex](b - 7) \times (2b + 9)[/tex]

[tex]b \times 2b + 9b - 7 \times 2b - 7 \times 9[/tex]

[tex]2 {b}^{2} + 9b - 14b - 63[/tex]

[tex]2 {b}^{2} - 5b - 63[/tex]

Can a set of data having two modes have two points of central tendency

Answers

Answer:

The  Measure of Central Tendency are

1. Mean

2. Median and Quartiles

3. Mode

4. Geometric Mean

5. Harmonic Mean

→When all the five Measure of Dispersion are Same, it means the two data sets have Identical Variate.

→Now consider the two data sets,

A=3,4,4,5

B=1,4,4,7

Both the Data set have , same mean, median, and Mode,which is equal to 4.

→When you will consider, First three as Measure of central tendency ,then it becomes incorrect statement ,that Data Set are same.

Step-by-step explanation:

A measure of central tendency is a descriptive statistic

The correct response to the question is as follows;

Yes; A data having two modes can have two points of central tendency

The reason a dataset having two modes can have two points of central tendency is as follows:

A dataset having two modes is said to be bimodal

A dataset having three modes is said to be trimodal

A dataset having more than three modes is said to be multimodal

A measure of central tendency is a type of summary statistics that is a

single value representing the center point, or average of a set of data

thereby providing a description of the data by telling the middle value, the

average or the most common value which is the mode

As can be seen from the given example, by having two modes, a bimodal

data set describes a data that has two points of central tendency, thereby

giving a description of the data type, which for example may a collection

of the height of individuals, male and female, that have two most common

height values for each gender

Therefore, the correct response is yes, a dataset having two modes can

have two points of central tendency because the mode is a measure of

central tendency which is a descriptive statistics

Learn more about the measures of central tendency here:

https://brainly.com/question/17762288

https://brainly.com/question/16964486

HELP please help help

Answers

Answer:

4778.4

Step-by-step explanation:

The volume of a cone is given by:

(π•r²•h)/3

(π•13²•27)/3

(π•169•27)/3

(4,563•π)/3

14,334.66/3=4778.4

Volume of a cone=πr²×h×1/3
=π×13²×27×1/3
=1521π
≈4778.36243
≈4778.4

Hope my answer helped u :)

b^3-21/5b+9 when b = 3

Answers

Answer:

-21b + 180 / 5

Step-by-step explanation:

Hey there!

b^3 - 21/5b + 9

= 3^3 - 21/5(3) + 9

= 27 - 63/5 + 9

= 72/5 + 9

= 117/5

Answer: 117/5

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

1.) A six-sided number cube is rolled, and the spinner
below is spun. Determine the probability of rolling a 3 and
spinning blue. (B=blue, R=red) Express your answer as a
fraction, a decimal, and a %.

Answers

Answer:

Step-by-step explanation:

The question is not totally clear. I will assume that the spinner has 2 colors, red and blue.

Your chances of rolling a 3 are 1 in 6 = 1/6

Your chance of getting blue is 1/2

Your chances are 1/2 * 1/6 = 1/12

As a decimal that is 0.0833333

As a % it is 8.3333 %

6 less than 8 times a number (x) is equal to 14

Answers

Answer:

8x-6=14

Step-by-step explanation:

Whenever you see less next to a number, you know it's gonna be -6. If it said 6 minus 8x though, then you would do 6-8x etc. Hope this helped.

2x + 3y = 6
The equation x + 2y = 16 is in standard form.
What is the slope of the line?
3y = -2x + 6
X-2
6
3
-1
y y=-3x +
y= - +
O
-0.5
+2
O
0.5

Answers

9514 1404 393

Answer:

  (c)  -0.5

Step-by-step explanation:

Starting from standard form ...

  ax +by = c

and solving for y, we get the slope-intercept form ...

  y = (-a/b)x +c/b

The coefficient of x is the slope: -a/b.

For your equation x+2y=16, the slope is -1/2 = -0.5.

someone to help me complete this and explain how to do it, please

42x2 y4 − 41xyz3

Answers

Answer:

use cymath

Step-by-step explanation:

evaluate the expression when x=3

Answers

Answer:

3.   15

6.   4

Step-by-step explanation:

Put  3 instead of x

3.    5x

     = 5 × 3

    = 15

6.   12 ÷ x

     = 12 ÷ 3

     = 4

Answer:

When X is 3 it will be

5(3)=15

Then for the second one it will be 12/3

The answer is 4

Hope I helped

Evaluate:
[tex] \int \limits^{2}_{1} { \sin }^{3} x. \cos(2x) dx[/tex]
hello, anyone can help me if you don't mind, I am getting confused.
Thanks, I really appreciate​

Answers

Recall some identities:

sin²(x) + cos²(x) = 1

cos(2x) = cos²(x) - sin²(x)

and from the first identity, you can establish that

cos(2x) = 2 cos²(x) - 1

So, rewrite the integrand as much as possible in terms of cos(x) :

[tex]\sin^3(x) \cos(2x) = \sin(x) \sin^2(x) (\cos^2(x)-\sin^2(x)) \\\\ \sin^3(x) \cos(2x) = \sin(x) (1-\cos^2(x)) (2\cos^2(x) - 1)[/tex]

Then in the integral, substitute u = cos(x) and du = -sin(x) dx. With some rewriting, you end up with

[tex]\displaystyle \int_1^2 \sin^3(x) \cos(2x) \,\mathrm dx = -\int_{x=1}^{x=2} (1-\cos^2(x))(2\cos^2(x)-1) (-\sin(x)\,\mathrm dx) \\\\ = -\int_{u=\cos(1)}^{u=\cos(2)} (1-u^2)(2u^2-1)\,\mathrm du \\\\ = \int_{\cos(1)}^{\cos(2)} (1-3u^2+2u^4) \,\mathrm du \\\\ = \left(u-u^3+\frac25u^5\right)\bigg|_{\cos(1)}^{\cos(2)} \\\\ = \left(\cos(2)-\cos^3(2)+\frac25\cos^5(2)\right) - \left(\cos(1)-\cos^3(1)+\frac25\cos^5(1)\right) \\\\ = \boxed{\cos(2) - \cos^3(2) + \frac 25 \cos^5(2) - \cos(1) + \cos^3(1) - \frac25 \cos^5(1)}[/tex]

5x + 4m = 43my + 6 solve for m

Answers

9514 1404 393

Answer:

  m = (5x -6)/(43y -4)

Step-by-step explanation:

Subtract 4m+6 to separate m-terms from other terms.

  5x +4m -(4m +6) = 43my +6 -(4m +6)

  5x -6 = 43my -4m

  5x -6 = m(43y -4) . . . . factor out m

 (5x -6)/(43y -4) = m . . . . divide by the coefficient of m

Find a8 when a1= 9, d = 4 of the arithmetic sequence whose first term is a1 and common difference is d.

Answers

General Arithmetic Terms

[tex] \displaystyle \large{a_n = a_1 + (n - 1)d}[/tex]

We want to find a8; we know:

a1 = 9d = 4

Substitute in the formula.

[tex] \displaystyle \large{a_n = 9 + (n - 1)4} \\ \displaystyle \large{a_n = 9 + 4n - 4} \\ \displaystyle \large{a_n = 4n + 5}[/tex]

To find a8, substitute n = 8

[tex] \displaystyle \large{a_8= 4(8) + 5} \\ \displaystyle \large{a_8= 32 + 5} \\ \displaystyle \large{a_8= 37}[/tex]

Hence, the 8th term of sequence is 37

LOUNGE SUITE FOR SALE Selling Price-R15 000 Deposit -15% of selling price Monthly Payments - R800 Repayment period 24 months calculate the loan amount

Answers

Answer:

610023626728387383838

work ou the value of 19+7÷2-5

helllppp pls ​

Answers

Answer:

17 1/2

Step-by-step explanation:

19+7÷2-5

Solve using PEMDAS

Divide first

19 + 7/2 -5

Then add and subtract from left to right

Getting a common denominator

38/2 + 7/2 - 10/2

45/2 - 10/2

35/2

17 1/2

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