What is the equation of the line that passes through the point (-1,-5) andhas a slope of -12

Answer:

The land that is covered with an irrigation arm of 370 ft is  \(430,084\ ft^2\)

Step-by-step explanation:

Area of the circle

Being r the radius of a circle, its area can be calculated as follows:

\(A=\pi\cdot r^2\)

The irrigation arm acts as the radius of the irrigation circle, thus r=370 ft. The land covered is the area under the irrigation arm, thus:

\(A=\pi\cdot 370^2\)

\(A=430,084\ ft^2\)

The land that is covered with an irrigation arm of 370 ft is  \(430,084\ ft^2\)

Answer:

768 bugs

Step-by-step explanation:

You can rewrite this problem as a function as time where the bug population is f(x), and x is the number of days since the start.

f(x)=6*2^(x/5)

Here, the 6 represents the number of bugs that you start with, the two shows that they double every day, and the /5 shows that they double every 5 days.

By plugging in 35, you get 6*2^7, which is 768.

The probability of a randomly selected bill being at least $39.10 is approximately option (d) 0.0344

To solve this problem, we need to standardize the given value using the standard normal distribution formula

z = (x - mu) / sigma

where:

x = $39.10 (the given value)

mu = $30 (the mean)

sigma = $5 (the standard deviation)

z = (39.10 - 30) / 5

z = 1.82

Now, we need to find the probability of a randomly selected bill being at least $39.10, which is equivalent to finding the area under the standard normal distribution curve to the right of z = 1.82.

Using a standard normal distribution table or calculator, we can find that the probability of a randomly selected bill being at least $39.10 is approximately 0.0344.

Therefore, the correct option is (d) 0.0344.

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Answer:

-3

Step-by-step explanation:

1. 6n+4n=-30

10n=-30

little confused on q2,3

The approximate value of f(1) using Euler's method with two steps of equal size is 6.636. The range of f for t > 0 is 0 < f(t) < 6.

a. The limiting factor in this logistic differential equation is the carrying capacity, which is 6 in this case. As y approaches 6, the growth rate of y slows down, until it eventually levels off at the carrying capacity.

b. To use Euler's method, we first need to calculate the slope of the solution at t=0. Using the given differential equation, we can find that the slope at t=0 is y(0)/8(6-y(0)) = 8/8(6-8) = -1/6.

Using Euler's method with two steps of equal size, we can approximate f(1) as follows:

f(0.5) = f(0) + (1/2)dy/dx|t=0

= 8 - (1/2)(1/6)*8

= 7.333...

f(1) = f(0.5) + (1/2)dy/dx|t=0.5

= 7.333... - (1/2)(7.333.../8)*(6-7.333...)

= 6.636...

Therefore, the approximate value of f(1) using Euler's method with two steps of equal size is 6.636.

c. The range of f for t > 0 is 0 < f(t) < 6, since the carrying capacity of the logistic equation is 6. As t approaches infinity, f(t) will approach 6, but never exceed it. Additionally, f(t) will never be negative, since it represents a population size. Therefore, the range of f for t > 0 is 0 < f(t) < 6.

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Answer:

the answer is (4) 175.

Step-by-step explanation:

Step-by-step explanation:

That symbol is sigma, which is the sum of that equation from k = 1 to n = 4

Equation is 2(3^n-1)

Since we're going 1 to 4, the sum would be as follows (replacing n with 1, 2, 3, and 4

\(2( {3}^{1 - 1}) + 2( {3}^{2 - 1}) + 2( {3}^{3 - 1}) + 2( {3}^{4 - 1}) = {?}\)

\(2(1) + 2(3) + 2(9) + 2(27) = \)

\(2 + 6 + 8 + 54 = 70\)

The probability that the horse will not win the race is 0.5. The result is obtained by subtracting the probability of winning from 1.

Probability of an event can be expressed as

P(A) = n(A) / n(S)

Where

While, the probability for the opposite event is

P(not A) = 1 - P(A)

If the probability that a horse will win the race is 2/4, find the probability that the horse won't win the race!

The probability that the horse will win the race is

P = 2/4 = 0.5

The probability that the horse will lose is

P = 1 - P(A) = 1 - 0.5 = 0.5

Hence, the horse will lose with the probability of 0.5.

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The diameter of a circle with an area of 74 square millimeters is approximately 9.7 millimeters..

To find the diameter of a circle with a given area, we can use the formula:

Area = π * (radius)^2

Given that the area of the circle is 74 square millimeters, we can solve for the radius:

74 = π * (radius)^2

Dividing both sides of the equation by π, we get:

74 / π = (radius)^2

Taking the square root of both sides, we have:

√(74 / π) = radius

Now, to find the diameter, we can multiply the radius by 2:

Diameter = 2 * radius

Substituting the value of the radius we found into the equation, we can calculate the diameter:

Diameter = 2 * √(74 / π)

Using a calculator and rounding to the nearest tenth, the diameter of the circle is approximately 9.7 millimeters.

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Answer:

∠C = 20° & ∠B = 40°

Step-by-step explanation:

let angle c be x

A.T.Q ∠B = 2x

Using angle sum property of triangle

∠A + ∠B + ∠C = 180

120° + 2x + x = 180

3x = 60

x = 20°

∴ ∠C = 20

∠B = 40

Answer:

∠ B = 40° , ∠ C = 20°

Step-by-step explanation:

the 3 angles in the triangle sum to 180° , that is

∠ A + ∠ B + ∠ C = 180° ( substitute ∠ B = 2 ∠C )

∠ A + 2 ∠ C + ∠ C = 180°

120° + 3 ∠ C = 180° ( subtract 120° from both sides )

3 ∠ C = 60° ( divide both sides by 3 )

∠ C = 20°

∠ B = 2 × ∠ C = 2 × 20° = 40°

The perpendicular distance represents the shortest distance between two parallel lines.

To find the distance between a pair of parallel lines given their equations, you can follow these steps:

1. Identify the equations of the two parallel lines. Let's call them Line 1 and Line 2.
2. Rewrite the equations of Line 1 and Line 2 in the form Ax + By + C = 0, where A, B, and C are constants.
3. Find the perpendicular distance between Line 1 and Line 2. This distance is equal to the absolute value of the difference between the constant terms (C) of the two equations divided by the square root of the sum of the squares of the coefficients of x (A) and y (B).
  - Distance = |C1 - C2| / √(A^2 + B^2)

Further, by rewriting the equations of the parallel lines in the standard form, we can easily calculate the perpendicular distance between them. The perpendicular distance represents the shortest distance between the two lines.

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Answer:

74 , 138

Step-by-step explanation:

12 + 2 = 14

14 + 4 = 18

18 + 8 = 26

26+16 = 42

42+32= 74

74+64 =138

please make my answer as brainelist

Answer:

-2

Step-by-step explanation:

you look at the y axis and that is where you start it goes 2 down and 1 to the right

Answer:

C. -2

Step-by-step explanation:

Using the two points on the graph, apply the slope formula.

(y₂ - y₁)/(x₂ - x₁)

The points given are (-3, 3) and (1, -5).

(-5 - 3)/(1 - (-3))

Simplify.

-8/4

Divide.

-2.

Answer:

42m

Step-by-step explanation:

Let's call the rectangle ABCD. Since this is a rectangle, the triangles inside this rectangle (ΔACD and ΔABD) are both right triangles because of the definition of a rectangle. In addition, AB = CD and AC = BD because of the definition of a rectangle. Since AD = 15 (The Diagonal), you can say that because of Pythagorean Triples that AC = 9 and CD = 12 (3 : 4 : 5 = 9 : 12 : 15). Since we stated that AB = CD and AC = BD, we can say that the perimeter of ABCD is equal to 9 + 9 + 12 + 12. 9 + 9 + 12 + 12 is equal to 42.

Therefore: Perimeter of ABCD = 42

Answer:

\(h(7) - 3 = \: 5 {(7)}^{2} + 11 - 3 \\ = 5(49) + 8\)

answer: the answer is 253

Answer:

ED = 8

Step-by-step explanation:

2x+4 = (3/2)x+6

2x = (3/2)x+2

(1/2)x = 2

x = 4

ED = 4+4 = 8

Answer:

93

Step-by-step explanation:

add 56+31 which give you 87

subtract 87 from 180 (180-87)

and you get 93 for x

Answer:

93

Step-by-step explanation:

56+31=87

180-87=93

Answer:

Answer: (2a+3b)-(a+b) = a + 2b.

Answer:

-2a² - 3b² + 5ab

Step-by-step explanation:

(b-a) - (2a-3b)

= b(2a-3b) -a(2a-3b)

= 2ab - 3b² - 2a² + 3ab

= -2a² - 3b² + 3ab + 2ab

= -2a² - 3b² + 5ab

(a)i. Evaluating the constant:

\($$\int_{-1}^{1} c(1+x)(1-2x) dx = 1$$$$\implies c = \frac{3}{4}$$\)

Therefore, the probability density function is:

\($$f(x) = \frac{3}{4} (1+x)(1-2x), -1< x < 1$$\) ii. Plotting the probability density function:

From the graph, it is observed that the density function is skewed to the left.

(b)i. The mean:

\($$E(X) = \int_{-1}^{1} x f(x) dx$$$$E(X) = \int_{-1}^{1} x \frac{3}{4} (1+x)(1-2x) dx$$$$E(X) = 0$$\)

ii. The second moment about the origin:

\($$E(X^2) = \int_{-1}^{1} x^2 f(x) dx$$$$E(X^2) = \int_{-1}^{1} x^2 \frac{3}{4} (1+x)(1-2x) dx$$$$E(X^2) = \frac{1}{5}$$\)

Therefore, the variance is:

\($$\sigma^2 = E(X^2) - E(X)^2$$$$\implies \sigma^2 = \frac{1}{5}$$\)

iii. The standard deviation:

$$\sigma = \sqrt{\sigma^2} = \sqrt{\frac{1}{5}} = \frac{\sqrt{5}}{5}$$(c)

i. The cumulative distribution function:

\($$F(x) = \int_{-1}^{x} f(t) dt$$$$F(x) = \int_{-1}^{x} \frac{3}{4} (1+t)(1-2t) dt$$\)

ii. The probability density function can be obtained by differentiating the cumulative distribution function:

\($$f(x) = F'(x) = \frac{3}{4} (1+x)(1-2x)$$\)

iii. Evaluating\(P(-0.2 < X <0.2):$$P(-0.2 < X <0.2) = F(0.2) - F(-0.2)$$$$P(-0.2 < X <0.2) = \int_{-0.2}^{0.2} f(x) dx$$$$P(-0.2 < X <0.2) = \int_{-0.2}^{0.2} \frac{3}{4} (1+x)(1-2x) dx$$$$P(-0.2 < X <0.2) = 0.0576$$\)

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Answer:

y = 34x - 139 (y = 34x + 2)

y = \(\frac{3}{4}\)x - 6 (y = 3/4x +2)

Step-by-step explanation:

(I'm not sure if the two equations were the same or not, but I provided the answers just in case.) Parallel lines are two lines that have the same plane and slope but never intersect. To find the equation, use the formula y - \(y_{1}\) = m (x - \(x_{1}\))

Answer:

its B

Step-by-step explanation:

I got a 100%

Answer:

4

Step-by-step explanation:

Answer:

The answer to the question provided is possibly 2.

Step-by-step explanation:

\( \: \: \: \: \: \: \: \: \: \: \: \: 3y + 77 = 2y + 79 \\ \frac{ - 2y \: \: \: \: \: \: = - 2y}{1y + 77 = 79} \\ \frac{ \: \: \: \: \: \: \: \: - 77 = - 77}{ \frac{1y}{1} = \frac{2}{1} } \\ \\ y = 2\)

Answer:

Step-by-step explanation:

Step one:

given

number of blinks= 3

time taken to blink=15 seconds

the rate of blink is given as

rate= number of blinks/time taken

rate= 3/15

rate= 1/5 blinks per second, 0.2 blinks per second

Step two:

hence for a 65 second period, the number of blinks is

rate=number of blink/time

0.2=number of blink/9=65

cross multiply we have

number of blink=0.2*65

number of blink=13 blinks

C

The mistake the arrangers made is in the second inequality. They considered the number of caps to be bought should be at least 5 times greater than the number of blouses, not the other way around. The correct inequality should be C

The correct answer is D) The first inequality should be s + h ≤ 1800.

The organizers made an error in the first inequality. The given inequality 10s + 8h ≤ 1800 represents the total cost of buying shirts (10s) and hats (8h) should be less than or equal to $1800. However, this does not take into account the fact that the organizers want to buy at least 5 times as many shirts as hats, as indicated by the second inequality h ≥ 5s.

The correct way to represent this constraint is by using the equation s + h ≤ 1800, which ensures that the total number of shirts and hats purchased does not exceed $1800 in cost. This is because the organizers want to make sure that the total cost of shirts and hats combined does not exceed the budget of $1800.

Answer:

Whats the question?

Step-by-step explanation:

The answer is A

Hope it helps :)

find slope

y2-y1/x2-x1 -> -2-6/9+7 -> -8/16 -> -1/2 -> perpendicular slope is a negative reciprocal so -> 2

get midpoint

(x2+x1)/2,(y2+y1)/2 -> (9-7)/2, (-2+6)/2 -> 2/2, 4/2 -> 1,2

point slope equation

y-y1 = m (x-x1)

y-2=2(x-1) = answer is the 4th one or D

Answer: $ 0.62

Step-by-step explanation:

First, find out the cost of each bottle:

$4.69/ 36 bottles = $0.1297

                             = $0.13

Therefore, the profit is:

$0.75 - $0.13 =  $ 0.62

Answer:

Step-by-step explanation:

To calculate the amount Fred paid for Social Security and Medicare taxes in 2020, we first need to calculate the amount of income subject to Social Security tax.

Since Fred earned $125,000, which is less than $157,700, all of his income is subject to Social Security tax.

Therefore, the amount of Social Security tax Fred paid in 2020 is:

$125,000 x 8.25% = $10,312.50

To calculate the amount of Medicare tax Fred paid in 2020, we simply multiply his income by the Medicare tax rate:

$125,000 x 1.5% = $1,875

Therefore, Fred paid a total of $10,312.50 + $1,875 = $12,187.50 for Social Security and Medicare taxes in 2020.

Answer:

12.53

Step-by-step explanation:

√(11²+(10-4)²)

= √157

= 12.53 (rounded to two decimal places)

Answered by GAUTHMATH