Determine whether the lines are parallel, perpendicular, or neither . Y=20x+9, y=6x-4

Answer:

17.

Step-by-step explanation:

Divide 2225 by 24 and round down. (92) Multiply 92 by 24 and subtract that (2208) from the total number (2225). you get 17

Answer:

Darnel scored 6 points

Step-by-step explanation:

15% of 40 can be written as 40 * 0.15 which is 6. Darnell scored 6 points.

Answer:

%* divide by 68d equls ggg

Step-by-step explanation:

It is reall because you have no pr

Answer: The area of the circle is 1134

Step-by-step explanation:

Using the formula - A= pie R^2

Now substitute the radius

A= Pie X 19^2

A= pie X 361

A= 361 pie

A= 1134.1149795

A= 1134 :)

Answer:

5^3  y^5

125 y^5

Step-by-step explanation:

5y^3/(5y)^-2​

Distribute the exponent in the denominator

5y^3/(5 ^-2 y^-2)

A negative exponent in the denominator brings it to the numerator

5y^3 5 ^2 y^2​​

Combine like terms

5 * 5^2  * y^3 5^2

We know that a^b * a^c = a^(b+c)

5^(1+2) * y^( 3+2)

5^3  y^5

125 y^5

Answer:

12

Step-by-step explanation:

36 / (x - 3) = 4

multiply both sides by (x - 3):

(x - 3)(36 / (x - 3)) = 4(x - 3)

36 = 4(x - 3)

expand right side:

36 = 4x - 12

add 12 to both sides:

36 + 12 = 4x - 12 + 12

48 = 4x

divide both sides by 4:

48/4 = 4x/4

x = 12

4.2 x 10^8 is  2*10^6  times the value of 2.1 x 10^2 when division is performed.

The concept that will be used to solve the question is division operation.

We were given 4.2 x 10^8 which is greater than  2.1 x 10^2

The operation can be expressed as :

4.2 x 10^8 =( n *2.1 x 10^2)

where n = the number of times that 4.2 x 10^8  is greater than 2.1 x 10^2

Then make n the subject of the formular which is

n = 4.2 x 10^8/2.1 x 10^2

n = 2*10^6

Therefore, the values of 4.2 x 10^8 is greater than 2.1 x 10^2 in 2*10^6 times.

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Answer: 2:16

Step-by-step explanation:

Answer:

2 : 16

Step-by-step explanation:

1 : 8 2 : 16 3 : 24 4 : 32 5 : 40

6 : 48 7 : 56 8 : 64 9 : 72 10 : 80

11 : 88 12 : 96 13 : 104 14 : 112 15 : 120

16 : 128 17 : 136 18 : 144 19 : 152 20 : 160

21 : 168 22 : 176 23 : 184 24 : 192 25 : 200

26 : 208 27 : 216 28 : 224 29 : 232 30 : 240

31 : 248 32 : 256 33 : 264 34 : 272 35 : 280

36 : 288 37 : 296 38 : 304 39 : 312 40 : 320

41 : 328 42 : 336 43 : 344 44 : 352 45 : 360

46 : 368 47 : 376 48 : 384 49 : 392 50 : 400

51 : 408 52 : 416 53 : 424 54 : 432 55 : 440

56 : 448 57 : 456 58 : 464 59 : 472 60 : 480

61 : 488 62 : 496 63 : 504 64 : 512 65 : 520

66 : 528 67 : 536 68 : 544 69 : 552 70 : 560

71 : 568 72 : 576 73 : 584 74 : 592 75 : 600

76 : 608 77 : 616 78 : 624 79 : 632 80 : 640

81 : 648 82 : 656 83 : 664 84 : 672 85 : 680

86 : 688 87 : 696 88 : 704 89 : 712 90 : 720

91 : 728 92 : 736 93 : 744 94 : 752 95 : 760

96 : 768 97 : 776 98 : 784 99 : 792 100 : 800

Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

From the question, we have the following parameters that can be used in our computation:

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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Answer:

(- 12 , 2)

Step-by-step explanation:

f(x) -> f(kx)    |k| = |-3/4| = |- 0.75| = 0.75

0 < 0.75 < 1 , It's a horizontal stretch, (x,y) -> (x/k , y)

(9 , 2) -> (9 / (-3/4) , 2) -> (- 12 , 2)

The formula that of h is h = 9k/16t

Joint variation describes a situation where one variable depends on two (or more) other variables, and varies directly as each of them when the others are held constant.

h is inversely proportional to p and directly proportional to t , therefore

h = k t/p

when h = 9 and t = 64 and p is 4

9 = k 64/4

64k = 36

k = 36/64

k = 9/16

h = 9k/16t

therefore the formula of h interns of k and t is

h = 9k/16t

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The expression 1 2/5 + 2 2/3 using fifteenths is 3 + 6/15 + 10/15

From the question, we have the following parameters that can be used in our computation:

1 2/5 + 2 2/3

3 + 2/5 + 2/3

To rewrite the expression using fifteenths, we multiply the numerator and the denominator of the fractions by the same number

In this case, we use 3 and 5

So, we have

3 + 2/5 * 3/3 + 2/3 * 5/5

Evaluate the products

3 + 6/15 + 10/15

Hence, the expression using fifteenths is 3 + 6/15 + 10/15

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Answer:

The selling price of the diamond necklace at Shamin Jewelers after 10% discount is:

$442 * 0.9 = $397.80

The selling price of the same necklace at the competitor's store after 34% and 14% discount is:

$527 * 0.66 * 0.86 = $247.08

So, Shamin Jewelers needs to offer an additional discount to meet the competitor's price:

$397.80 - $247.08 = $150.72

To calculate the additional rate of discount, we divide the difference by the original selling price at Shamin Jewelers and multiply by 100:

($150.72 / $442) * 100 = 34.11%

Therefore, Shamin Jewelers must offer an additional 34.11% discount to meet the competitor's price.

Step-by-step explanation:

The number of pennies weighing as much s earth is  193 × 10²⁴

Index forms are described as described as those forms that are used to represent numbers that are too large or small in more proper ways.

Other names for index forms are scientific notation and standard forms.

Ratio is described as the comparison of numbers or variables on the basis of their size.

It shows how many times one number contains another.

From the information given, we have that;

The earth weighs = 5. 972 × 10 ²⁴ kilograms

The penny weighs = 3.1 × 10 ⁻³ kilograms

Divide the values

= 5. 972 × 10 ²⁴/3.1 × 10 ⁻³

= 1.93 × 10 ²⁶

= 193 × 10²⁴

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The straight-line distance between Akira's house and Cooper's house is 6.13 kilometers (rounded to the nearest tenth)

Given that,To get from home to his friend Akira's house, Jaden would have to walk 2.8 kilometers due east.The straight-line distance between Akira's house and Cooper's house is given by the distance between two points in a coordinate plane. Let the home be the origin (0, 0) of the coordinate plane and Akira's house be represented by the point (2.8, 4.7). Similarly, let Cooper's house be represented by the point (8.3, 7.4).The distance formula between the two points (2.8, 4.7) and (8.3, 7.4) is given by:distance = √[(8.3 - 2.8)² + (7.4 - 4.7)²]= √[5.5² + 2.7²]= √(30.25 + 7.29)= √37.54= 6.13 km (rounded to the nearest tenth)

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The calculated volume of the prism is 702 cubic cm

From the question, we have the following parameters that can be used in our computation

The trapezoidal prism (see attachment)

The formula of the volume of a trapezoidal prism is

Volume = Base area * Height

Where we have

Base area = 1/2 * (8 + 10) * 6

Evaluate the sum of 8 and 10

Base area = 1/2 * 18 * 6

Evaluate the products of 1/2, 18 and 6

Base area = 54

Also, we have

Height = 13

So, the volume is calculated as

volume = 13 * 54

Evaluate

volume = 702

Hence, the volume of the prism is 702 cubic cm

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To rewrite the expression -2(n-7) using the distributive property, we need to distribute the -2 to both terms inside the parentheses. The distributive property states that for any numbers a, b, and c:

a(b + c) = ab + ac

Applying this property to the given expression:

-2(n-7) = -2 * n + (-2) * (-7)

Simplifying further:

-2(n-7) = -2n + 14

Therefore, the rewritten expression is -2n + 14.

Answer:

my brain exploded trying to answer it sorry

Step-by-step explanation:

dang

Answer:

The commission rate is 15%

Step-by-step explanation:

commission = commission rate x sales

where the commission rate is expressed as a decimal.

In this case, the salesperson earned a commission of $345 for selling $2,300 in merchandise. Therefore, we have:

345 = commission rate x 2300

To solve for the commission rate, we can divide both sides by 2300:

commission rate = 345/2300

Simplifying this expression, we get:

commission rate = 0.15

So, the commission rate is 15%

Answer:

4.32×10^5

first calculate the left side and the calculate the right side.

finaly substract the result you get when you calculate at the first the result is 4.32 ×10^5

9514 1404 393

Answer:

  (b)  -3

Step-by-step explanation:

It can work well to rewrite the equation as powers of 2.

  \(4^x=\left(\dfrac{1}{8}\right)^{x+5}\\\\(2^2)^x=(2^{-3})^{x+5}\qquad\text{as powers of 2}\\\\2x=-3(x+5)\qquad\text{equate exponents}\\\\5x=-15\qquad\text{add $3x$}\\\\\boxed{x=-3}\qquad\text{divide by 5}\)

__

Check

  4^-3 = (1/8)^(-3+5)   ⇒   1/64 = (1/8)^2 . . . . true

Answer:

The minimum surface area of the container is 276.791 square units.

Step-by-step explanation:

Let be \(A(r) = \pi\cdot r^{2} + \frac{1000}{r}\), \(\forall \,r \in \mathbb{R}\), \(r \geq 0\). The first and second derivatives of such function are, respectively:

First derivative

\(A'(r) = 2\cdot \pi \cdot r -\frac{1000}{r^{2}}\)

Second derivative

\(A''(r) = 2\cdot \pi +\frac{2000}{r^{3}}\)

The critical values of \(r\) are determined by equalizing first derivative to zero and solving it: (First Derivative Test)

\(2\cdot \pi \cdot r -\frac{1000}{r^{2}} = 0\)

\(2\cdot \pi \cdot r^{3} - 1000 = 0\)

\(r = \sqrt[3]{\frac{1000}{2\pi} }\)

\(r \approx 5.419\) (since radius is a positive variable)

To determine if critical value leads to an absolute minimum, this input must be checked in the second derivative expression: (\(r \approx 5.419\))

\(A''(5.419) = 2 + \frac{2000}{5.419^{3}}\)

\(A''(5.419) = 14.568\)

The critical value leads to an absolute minimum, since value of the second derivative is positive.

Finally, the minimum surface area of the container is:

\(A(5.419) = \pi\cdot (5.419)^{2} + \frac{1000}{5.419}\)

\(A(5.419) \approx 276.791\)

The minimum surface area of the container is 276.791 square units.

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Answer:

T= 16000(2)

=36 000

T=36 000(2)

=72 000 in 4 hours

The percentage of the surface light :

\(\frac{I}{I_0} \times 100=27.25 \%\)

\($\frac{I}{I_0} \times 100=7.43 \%$\)

This is further explained below.

Generally, the equation for is  mathematically given as

We have; the intensity of light d ft below the surface given by

I=I_0 \(e^{-0.26 d}\)

Where; I_0= Intensity of the light at the surface.

d= depth (in feet).

A)

d=5 \mathrm{ft}:

\(\quad I=I_0 \cdot e^{-0.26 \times 5} \\\\I=I_0 \times e^{-1 \cdot 30}$\)

\($\left(\frac{I}{I_0}\right)=e^{-1.30}=0.27253\)

In of form:

\(\frac{I}{I_0} \times 100=27.25 \%\)

b)

\($d=10 \mathrm{ft}:\)

\(\quad \mathrm{J}=\mathrm{I}_0 e^{-0.26 \times 10}\\\\=I_0 e^{-2.60}$\)

\($\left(\frac{I}{I_0}\right)\)=e^{-2.60}

\($\left(\frac{I}{I_0}\right)\)=0.07427

In form: \($\frac{I}{I_0} \times 100=7.43 \%$\)

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CQ

Marine life is dependent upon the microscopic plant life that exists in the photic zone, a zone that goes to a depth where about 1% of the surface light remains. In some waters with a great deal of sediment, the photic zone may go down only 15 or 20 feet. In some murky harbors, the intensity of light d feet below the surface is given by I=Ioe^-0.26d,Where Io is the intensity of light at the surface. What percentage of the surface light will reach a depth of (A) 5 feet? (B) 10 feet?

Answer:

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Answer:

you got that

Step-by-step explanation:

wet wet wet

Answer:

{ x : x > 2 }

Step-by-step explanation:

4x - 3 + 6x > 5x + 7 , that is

10x - 3 > 5x + 7 ( subtract 5x from both sides )

5x - 3 > 7 ( add 3 to both sides )

5x > 10 ( divide both sides by 5 )

x > 2