Find the area of a rectangle with base 30 in. and height 4 yd

Answer:

h= [tex]\frac{−2.094395r3+v}{1.047198r2}[/tex]

Step-by-step explanation:

v=(  [tex]\frac{1}{3}[/tex] (3.141593))(r2)(2r+h)

Step 1: Flip the equation.

1.047198hr2+2.094395r3=v

Step 2: Add -2.094395r^3 to both sides.

1.047198hr2=−2.094395r3+v

Step 3: Divide both sides by 1.047198r^2.

h= [tex]\frac{−2.094395r3+v}{1.047198r2}[/tex]

Answer:

[tex]h = \frac{3v - 2\pi \: r{ }^{3} }{\pi \: r {}^{2} } [/tex]

Step-by-step explanation:

Step 1 add -2/3Πr^3 to both sides

v + -2/3Πr^3 = 1/3hpr^2 + 2/3Πr^3 + -2/3Πr^3

Step 2 divide both sides by (Πr^2)/3

(v + -2/3Πr^3)/(Πr^2)/3 = (1/3hΠr^2)/(Πr^2)/3

(3v - 2Πr^3)/Πr^2 = h

hope this helps....

Answer:

A. It increased the number of molecular collisions.

Answer:

4 tickets = £111.52

Step-by-step explanation:

1 ticket = £ 27.88

Multiplying both sides by 4

=> 4 tickets = £111.52

Answer:

=1344 pi units^3

Step-by-step explanation:

The volume of a cone is given by

V = 1/3 pi r^2 h

V = 1/3 pi * (8)^2 * 63

V =1344 pi units^3

The volume of the cone is found to be 1344[tex]\pi[/tex] cubic units.

A cone is geometric structure of 3-Dimensions with a smooth transition from a flat, usually circular base to the peak of a point that creates an axis to the base's centre.

The radius of the cone = 8 units.

The height of the cone = 63 units.

Apply the formula of the cone and substitute the values

volume = [tex]\frac{1}{3}[/tex][tex]\pi 8^{2}[/tex]×[tex]63[/tex]

= [tex]1344\pi[/tex] cubic units

Therefore, the volume of the cone is found to be [tex]1344\pi[/tex] cubic units.

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Answer:

t = -d/50 + 2

0.5 hour

Step-by-step explanation:

Given the equation:

d = 50 - 100t

The inverse function:

A.) solving for t

d = 100 - 50t

d - 100 = - 50t

Divide both sides by - 50

d/-50 - (100/-50) = - 50t/-50

-d/50 - (-2) = t

t = -d/50 + 2

B) using the inverse function:

t = -d/50 + 2

Miles driven (d) = 75, find time (t)

t = - 75/50 + 2

t = - 1.5 + 2

t = 0.5

t is in hours, therefore time left to travel is 0.5 hours or 30 minutes

m<TSU=85°

please see the attached picture for full solution

hope it helps..

Good luck on your assignment...

Answer:

B

Step-by-step explanation:

One million has 6 zeros.

9 x 10^5 = 900, 000

9 × 10^6 = 9, 000, 000

9 x 10^7 = 90, 000, 000

9 x 10^8 = 900, 000, 000

The correct answer is 9 × 10^6

Answer:

Option B

Step-by-step explanation:

=> 9,802,733

The decimal point will come after the first non zero digits and since six digits come after it , So the exponent/power/indices will be 6

So, it becomes:

=> [tex]9 * 10^6[/tex]

Answer:

x = [tex]\sqrt{x+6}[/tex]

Step-by-step explanation:

The question states that it is the square root of the sum of both n and 6. That means n and 6 are added first before square rooted. Between B and C, choose the answer that has the parenthesis around x and 6, like (x + 6).

Answer:

First 10% of 360 = 36

Next 5% of 360 = 18

Final 2.5% of 360 = 9

After adding 17.5% of 360 = 63

Hope this helps.

Answer:

it is A and D

Step-by-step explanation:

i just did the test

Answer:

30/x - 10

Step-by-step explanation:

Quotient of 30 and a number is 30/x

10 less is -10

Answer:

30/x - 10

Step-by-step explanation:

We first take 30 and divide by x, and then we subtract 10 from that result.

Answer:

Amrita's number is 6

Step-by-step explanation:

x               Double the unknown number

2x             Add 9

2x + 9       Divide the answer by 3

2/3x + 3   Subtract 1

2/3x + 2   Set this equal to the original number

2/3x + 2 = x

-2/3x       -2/3x   Subtract 2/3x from both sides

2 = 1/3x   Multiply both sides by 3

6 = x

Amrita's number was 6.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number = x

We can write an expression from the given statement.

{ (2x + 9) ÷ 3 } - 1 = x

Solve for x.

{ (2x + 9) ÷ 3 } - 1 = x

(2x + 9)/3 - 1 = x

2x + 9 - 3 = 3x

Add 3 on both sides.

2x + 9 =  3x + 3

Subtract 9 on both sides.

2x = 3x + 3 - 9

2x = 3x - 6

6 = 3x - 2x

x = 6

We can cross-check.

{(2 x 6 + 9) ÷ 3} - 1 = 6

{(12 + 9) ÷ 3} - 1 = 6

7 - 1 = 6

6 = 6

Thus,

The number was 6.

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Answer: b) ±1, ±2, ±7, ±14, ±1/3, ±2/3, ±7/3, ±14/3

Step-by-step explanation:

The possible rational roots are all of the factors of P (coefficient of last term) divided by each of the factors of Q (coefficient of first term).

-3x⁴  - 9x³ - 6x² - 8x + 14

[tex]\dfrac{P}{Q}=\dfrac{factors\ of\ 14}{factors\ of\ 3}=\pm \dfrac{1,2,7,14}{1,3}\\\\\\=\pm \bigg\{\dfrac{1}{1},\dfrac{2}{1},\dfrac{7}{1},\dfrac{14}{1}, \quad \dfrac{1}{3}, \dfrac{2}{3}, \dfrac{7}{3}, \dfrac{14}{3}\bigg\}\\\\\\=\pm \bigg\{1, 2, 7, 14, \quad \dfrac{1}{3}, \dfrac{2}{3}, \dfrac{7}{3}, \dfrac{14}{3}\bigg\}[/tex]

Answer:

450

Step-by-step explanation:

Since we are estimating, we can round 596 to 600, and 77 to 75

So, we need to find 75%, or 3/4 of 600

600 * 3/4 = 150 * 3 = 450

Answer:

450 meters

Step-by-step explanation:

Answer:

a). 16% of £50

= 16/100 ×50

= 8

= £8

b). 44% of 781g

= 44/100 × 781

= 343.64

= 343.64g

c). 92% of 1050km

= 92/100 × 1050

= 996

= 996km

Hope this helps.

Answer:

600 cm

Step-by-step explanation:

Surface Area of a box: SA=2lw+2lh+2hw

Since a box has equal side lengths, l = 10, w = 10, and h = 10.

SA = 2(10)(10) + 2(10)(10) + 2(10)(10)

SA = 600cm

Answer:

6

Step-by-step explanation:

3x-4=14

3x=14+4

3x=18

x=6

Answer:

x = 6

Step-by-step explanation:

[tex]x+(-4)+2x=14\\\\ \text{Distribute '+' into '-4' : }\\ x-4+2x=14\\\text{Combine Like Terms: }\\x+2x-4=14\\3x-4=14\\\text {Add 4 to Both Sides: }\\3x-4+4=14+4\\3x=18\\\text{Divide both sides by 3: }\\\frac{3x}{3}=\frac{18}{3}\\\huge\boxed{x=6}[/tex]

Answer:

C

Step-by-step explanation:

The quotient of (x^5 – 3x^3 – 3x^2 – 10x + 15) and (x^2 – 5) will be  (x^5-3x -3 - 24x/(x²-5)) polynomial.

Quotients are the number that is obtained by dividing one number by another number.

The quotient of the given expression (x^5 – 3x^3 – 3x^2 – 10x + 15) and (x^2 – 5) is a polynomial.

(x^5 - 3x³ - 3x² - 10x + 15) / p = x² - 5

p = (x^5 -3x³ - 3x² - 10x + 15)/(x² - 5)

= x^5 -3x - 3 - 24x/(x² - 5)

x^5 3x³ + 15x

x^5 - 3x² - 24x + 15

x^5 - 3x² + 15

0 - 24x + 0

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Answer:

B. 17

Step-by-step explanation:

Pythagorean Theorem: a² + b² = c²

We have a and b, so:

8² + 15² = c²

c = √(8² + 15²)

c = 17

And we have our final answer!

Answer:

To find the length of BC we use Pythagoras theorem.

BC² = AB² + AC²

AB = 8 AC = 15

BC² = 8² + 15²

BC = √64 + 225

BC = √ 289

BC = 17

BC is 17

Hope this helps.

Answer:

y = -4/5x + 2/5

Step-by-step explanation:

[tex]4y=5x+3\\write -in ; y=mx+b -form\\y = \frac{5}{4} x + \frac{3}{4} \\m = 5/4\\m_1m_2 = -1\\5/4m_2 =-1\\m_2 = -4/5\\ (3,-2)\\x = 3\\y = -2\\y = mx+b\\-2 = -\frac{4}{5}(3) +b\\-2 = -12/5 +b\\-2+12/5 = b\\2/5 = b\\m = -4/5\\Substitute -new-values-into-slope-intercept-form\\y = mx+b\\y = -4/5x + 2/5[/tex]

The equation of a line perpendicular and passing through (3, - 2)

is  y = - (4/5)x + 19/2.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

We know lines perpendicular to each other have slopes that are negative reciprocals of each other.

Given line is, 4y = 5x + 3.

y = (5/4)x + 3/4.

So, The line perpendicular to it must have a slope of - (4/5) passing through the point (3, - 2).

- 2 = - (4/5)×3 + b.

- 2 = - 12/5 + b.

b = 12/5 + 2.

b = (12 + 7)/2.

b = 19/2.

Therefore, y = - (4/5)x + 19/2.

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Answer:

look at the atachment below! :)

Step-by-step explanation:

The entries that complete the table are 1, 2, 8, 6 and 3

To do this, we multiply the number of people by the proportion of sample i.e. 10%.

The product is then approximated to the nearest unit

So, we have:

7 => 7 * 10% ≈ 1

22 => 22 * 10% ≈ 2

77 => 77 * 10% ≈ 8

63 => 63 * 10% ≈ 6

31 => 31 * 10% ≈ 3

Hence, the entries that complete the table are 1, 2, 8, 6 and 3

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Answer:

9.72

Step-by-step explanation:

53.43/11 = 4.86

4.86*1 = 9.72

Answer:

2 pens will weigh about 9.7 grams.

Step-by-step explanation:

1. First, you divide 53.43 by 11 which gives you 4.85 grams (I used the first 2 digits.)

2. Since you know that 1 pen weighs about 4.85 grams, you multiply 4.85 by 2 to find the amount of grams for 2 pens. The answer is 9.7 grams.

Answer:

36

Step-by-step explanation:

Here, we shall be splitting the total length using the ratio given.

The total ratio is 3 + 1 = 4

Since AB is the bigger length, the ratio 3 belongs to it.

Thus; 3/4 * 48 is the length of AB

= 3/4 * 48 = 3 * 12 = 36

-3x +4 -x +1 =  5 - 4x

3a -3b +a +b =  4a - 2b

-6 +3a -5b +1 +2a -b =  5a -6b -5

3a -b -7a -3 -b +1= -2b -4a -2

Hope this helps ^-^

Answer:

length of C'B' = 15units (B)

Step-by-step explanation:

Original image is ∆ABC

A = (8,15)

B = (12, 13)

C = (8,10)

Scale factor = 3

Since the circle would be dilated by a scale factor of 3 about the origin, Do(x,y) →3(x,y)

Coordinates of ∆A'B'C'

A' = 3(8, 15) = (24, 45)

B' = 3(12, 13) = (36, 39)

C' = 3(8, 10) = (24, 30)

The distance formula = √(x2 - x1)² + (y2-y1)²

Where x2 = x subscript 2, x1 = x subscript 1; y2 = y subscript 2, y1 = y subscript 1

Length C'B' = Distance between B' and C'

See attachment for details

From the solution, length of C'B' = 15units (B)

Answer:

15 units

Step-by-step explanation:

Answer:

8.12.15

Step-by-step explanation:

mark brainliest plz

Answer:

The first graph has this property.

Step-by-step explanation:

The first graph, consisting of a straight line with decreasing slope, is the correct answer choice.  We can verify that the slope of this line is -1/4 by reading "rise" and "run" from the graph and writing the ratio rise / run.

The second graph is a quadratic whose slope varies as we move along the graph.

The third and fourth cases do show constant rates of change, but neither is -1/4.

Answer:

A

Step-by-step explanation:

Edgenuity

Answer:-8, -6, -4, -2 ...

Step-by-step explanation:

An arithmetic sequence consists numbers being added or subtracted in a specific pattern. 2, 4, 8, 16 is multiplying not adding. -2, 4, -6, 8 is not in a specific pattern. Hope this helped :)

An arithmetic sequence is a sequence in which the same number is repeatedly added is called an arithmetic sequence.

So in order for a sequence to be arithmetic, the difference between consecutive terms must remain constant.

Let's look at the second pattern.

Notice that each time, we add 2 to reach the next term.

The other sequences don't have a common difference.

Answer:

1364

Step-by-step explanation:

use the calculator

Answer:

The width is 5/2 = 2.5 cm

The length is 9/2 = 4.5cm

Step-by-step explanation:

The length is 2 longer than the width

l = w+2

The perimeter is 14

P =2 ( l+w)

14 = 2 (l+w)

Replace l with w+2

14 = 2 ( w+2+w)

14 =2 (2w+2)

Divide each side by 2

14/2 = 2/2(2w+2)

7 = 2w+2

Subtract 2

7-2 = 2w+2-2

5 = 2w

Divide by 2

5/2 = w

The length is w+2

5/2+2

5/2+4/2 = 9/2

The width is 5/2 = 2.5

The length is 9/2 = 4.5