When viewed from a distance of 32 feet from its base the top of the flagpole can be seen from the ground at an angle of elevation of 39° what is the height of the flagpole

The given differential equation is y' = y²(1-y)(2-y). To find the equilibrium solutions, we set y' equal to zero and solve for y. Then, we classify each equilibrium solution.

To find the equilibrium solutions, we set y' = 0 and solve the equation y²(1-y)(2-y) = 0. The equilibrium solutions are the values of y that satisfy this equation. We have three possible solutions: y = 0, y = 1, and y = 2. To classify each equilibrium solution, we examine the behavior of the derivative around each solution. For y = 0, the derivative y' is positive to the left of 0 and negative to the right, indicating a stable equilibrium. For y = 1, the derivative y' is negative to the left of 1 and positive to the right, indicating an unstable equilibrium. For y = 2, the derivative y' is positive to the left of 2 and negative to the right, indicating a stable equilibrium.

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The factors of the polynomial are (x - 4)(x - 4)(x + 7), and the polynomial is completely factored.

For the polynomial x³ - 7x² - 16x + 112, the following statements are true:

1. The factors of the polynomial are (x - 4)(x - 4)(x + 7).

2. The polynomial is completely factored.

To factor the polynomial completely, we can use different factoring techniques such as grouping, factoring by grouping, or synthetic division.

In this case, we observe that the number 4 is a root of the polynomial since when we substitute x = 4 into the polynomial, we get zero.

Using synthetic division or long division, we can divide the polynomial by (x - 4) twice to obtain the factored form (x - 4)(x - 4)(x + 7).

Hence, the factors of the polynomial are (x - 4)(x - 4)(x + 7), and the polynomial is completely factored.

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Answer:

hii

Step-by-step explanation:

follow me please gugs

Answer: i would say $1.60 because 20% of $8.00 is $1.60

Each friend earned an amount of $1.6.

Percentage is defined as the parts of a number per fraction of 100. We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.

So the percentage actually means a part per 100.

Percentage is usually denoted by the symbol '%'.

Given that,

A group of friends worked together at a lemonade stand.

They earned $8.00 in all.

Each friend was paid 20% of the total earnings.

Total earnings = $8

Each friend earn = 20% × 8

                            = (20/100) × 8

                            = 0.2 × 8

                            = 1.6

Hence the amount each friend earned is $1.6.

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Answer:

29

Step-by-step explanation:

you could just plug in all you have done into a calculator unless step by step would be:

PEMDAS

-16(1.5)^2 + 10(1.5) + 50

-16(2.25) + 10(1.5)+50

-36 + 15 + 50

-36 + 65

29

Answer:

c'(1,-3)

Step-by-step explanation:

Step-by-step explanation:

Let the distance between them be y

sin20° =

=> 0.342 =           [  sin20° = 0.342]

=> y =  33/ 0.342

=> y = 96.5 ft

So, the distance between them is 96.5 ft

The answer Calebmf1245 is

40 and 140

because

If the angles are supplementary, they add to 180 degrees.Since 140 - 100 = 40 and 140 + 40 = 180, those are the two angle you are looking for.

Answer:

12 square yards of carpet

Step-by-step explanation:

area is l x w so 3 x 4 = 12

pls vote me brainliest

The lengths of AB and CD must be equal to 19 inches.

The oars must be approximately 67.857 inches long.

In this problem we find a model of oars with some known linear dimensions and we are asked to determine another linear dimensions. The first part consists in knowing the length of oarlocks by taking advantage of symmetry properties.

Based on all the information shown, we can represent the system by the following formula:

AC + AD + DB = 42

x + 4 + x = 42

2 · x = 38

x = 19

The lengths of AB and CD must be equal to 19 inches.

In the second part we must determine the length of a oar, based on the following relationship of proportionality:

AB / EF = 7 / 25

Where AB is the inboard part was found in the previous section, whose measure is 19 inches. Then, we find the length of the oar by using the following formula:

EF = (25 / 7) · AB

EF = (25 / 7) · (19 in)

EF ≈ 67.857 in

The oars must be approximately 67.857 inches long.

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Answer:

1/ $ 4.08

2/ $675.92

Step-by-step explanation:

Take 68 times 0.06% = $4.08

680 - 4.08= 675.92

Answer:

Step-by-step explanation:

40.80 it told me the answer

9514 1404 393

Answer:

  14.09 square units

Step-by-step explanation:

The desired area is the area of the full circle, multiplied by the fraction that is shaded. That fraction is the ratio of the sector central angle to the central angle for a whole circle: 42°/360°.

  A = πr²(d/360)

  A = 3.14159(6.2²)(42/360) ≈ 14.09

The area of the shaded sector is about 14.09 square units.

If both the corresponding angles and sides are congruent and proportional, respectively, you can state that the triangles are similar.

To determine if two triangles are similar, you need to check if their corresponding angles are congruent and their corresponding sides are proportional.

To state if the triangles in each pair are similar, follow these steps:

1. Identify the corresponding angles: Compare the angles of one triangle to the angles of the other triangle. If all the corresponding angles are congruent, then the triangles are similar.

2. Check for proportional sides: Compare the lengths of the corresponding sides of the two triangles. If the ratios of the corresponding sides are equal, then the triangles are similar.

3. If both the corresponding angles and sides are congruent and proportional, respectively, you can state that the triangles are similar.

For example, consider two triangles with angles A, B, and C, and sides a, b, and c. If you find that angle A of one triangle is congruent to angle A of the other triangle, angle B is congruent to angle B, and angle C is congruent to angle C, and the ratios a/b, b/c, and a/c are all equal, then you can conclude that the two triangles are similar.

Remember, similarity is not the same as congruence. Similar triangles have the same shape but can differ in size.

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To find the equation of a line that passes through a point and is parallel to another line, we can use the formula $y - y_1 = m(x - x_1)$ where $m$ is the slope of the given line and $(x_1,y_1)$ is the point through which the new line passes. The slope of the new line will be equal to that of the given line.

For part (a), we can use this formula with $(x_1,y_1) = (3,-2)$ and $m = -\frac{3}{4}$ (the slope of the given line). Thus, we get $y + 2 = -\frac{3}{4}(x - 3)$ which simplifies to $y = -\frac{3}{4}x + \frac{5}{2}$.

For part (b), we can use a similar formula with $(x_1,y_1) = (3,-2)$ and $m = \frac{4}{3}$ (the negative reciprocal of the slope of the given line). Thus, we get $y + 2 = \frac{4}{3}(x - 3)$ which simplifies to $y = \frac{4}{3}x - \frac{14}{3}$.

\( = \frac{ - 3}{4} (p) - \frac{3}{4} ( - 12) + 2(8) + 2( - \frac{1}{4} p) \\ = - \frac{3}{4} p + 9 + 16 - \frac{2}{4} p \\ \\ = - \frac{3}{4} p - \frac{2}{4}p + 9 + 16 \\ = - \frac{5}{4} p + 25\)

ATTACHED IS THE SOLUTION

Answer:

\(-1\frac{1}{4}+25\)

Step-by-step explanation:

first distribute

(-3/4)(p) -(-3/4)(12)

-3/4p+36/4

-3/4p+9

2(8) - 2(1/4p)

16-2/4p

-3/4p+9+16-2/4p

Combines like terms

-5/4p+25

\(-1\frac{1}{4}+25\)

Hopes this helps please mark brainliest

Answer:

\(y = 3x^2-24x+40\)

Step-by-step explanation:

Hi there!

Standard form: \(y=ax^2+bx+c\)

\(y = 3(x-4)^2-8\)

Solve \((x-4)^2\)

\(y = 3(x^2-8x+16)-8\)

Multiply 3 by the parentheses

\(y = 3x^2-24x+48-8\\y = 3x^2-24x+40\)

I hope this helps!

Answer:

degree of the polynomial = 7

Number of terms = 2

Name = binomial

leading coefficient = 5

Step-by-step explanation:

The polynomial is x³y² - 5x³yz³

The degree of a polynomial is the highest exponent of any of its variables.

But in this case where we have two variable together, we sum up their exponents and the Hughes one will be the degree of the polynomial.

Thus;

x³y² has a degree of 3 + 2 = 5

5x³yz³ has a degree of 3 + 1 + 3 = 7

Thus,7 is the highest and the degree of the polynomial is 7.

There are two terms which are x³y² and 5x³yz³

Since it has two terms, it is a binomial.

To get the coefficient, I will rearrange in descending order of degree;

-5x³yz³ + x³y²

Thus, leading coefficient = 5

The domain and the range of the function are (-∝, ∝) and (0, ∝), respectively

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

The graph

The above graph is an exponential function

The rule of an function is that

The domain is the set of all real values

In this case, the domain is (-∝, ∝)

For the range, we have

Range = (0, ∝)

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Answer:

To find the tens and units digit of the product, we only need to focus on the last two digits of the product.

First, we multiply 8 x 6, which gives us 48. So the units digit is 8 and we carry-over the 4 to the tens digit.

Next, we multiply 7 x 6, which gives us 42. We add the carry-over 4, which gives us 46. So the tens digit is 6 and we carry-over the 4.

Continuing with the multiplication, we get:

6 x 0 = 0 (no carry-over)

6 x 7 = 42 (carry-over 4)

6 x 2 = 12 (carry-over 1)

Adding the carry-over, we get:

4 + 4 + 1 = 9

Therefore, x+y= 8 + 6 = 14

Solution:

Note that:

Simplify the equation to find out how much cookies did each friend get.

One friend got 2/9 of tray of cookies.

Step-by-step explanation:

Part 1: As the coordinate plane shown is not included in the question prompt, I am unable to provide a response for Part 1.

Part 2:

Using the coordinate plane given in Part 1 (assuming it is a standard rectangular coordinate plane), we can draw the following routes for Zari and Taye:

- Zari's route: A → B → C → A

- Taye's route: A' → D → E → A'

where B = (4, 2), C = (4, -1), D = (-2, -4), and E = (2, -4).

To prove that the two triangles formed by their routes are congruent, we need to show that they have three pairs of congruent properties and then state the triangle congruency statement.

Let's start with the first pair of congruent properties:

1. AB = A'D (both are 2 miles long)

2. BC = DE (both are 3 miles long)

3. AC = A'E (both are 5 miles long)

We can see that Zari's route forms triangle ABC, while Taye's route forms triangle A'DE. Since triangles ABC and A'DE have three pairs of congruent properties, we can state that they are congruent by SSS (side-side-side) congruence:

∆ABC ≅ ∆A'DE

Therefore, we can conclude that the two triangles formed by their routes are congruent.

Answer:

Step-by-step explanation:

Answer:

it's1/2 xbxh

Step-by-step explanation:

to get the answer of the both sides

Answer:

Both are answers are not equal

Answer:

993.5

Step-by-step explanation:

106×5.75 +128×3

Answer:

11

Step-by-step explanation:

-2(-3)+5

6+5 = 11

The probability of getting stuck in traffic on any given day when leaving the city is 70%. When considering two separate days, we can use the multiplication rule of probability to find the probability of getting stuck in traffic on both days.

The multiplication rule of probability states that the probability of two independent events occurring together is the product of their individual probabilities. In this case, the events of getting stuck in traffic on two separate days are independent, meaning that the occurrence of one does not affect the probability of the other.

To find the probability of getting stuck in traffic on both days, we can multiply the probability of getting stuck on the first day (0.7) by the probability of getting stuck on the second day (also 0.7):

P(getting stuck on both days) = P(getting stuck on day 1) x P(getting stuck on day 2)
P(getting stuck on both days) = 0.7 x 0.7
P(getting stuck on both days) = 0.49 or 49%

Therefore, the probability of getting stuck in traffic on both days is 49%. This means that there is a less than 50% chance of getting stuck in traffic on both days, despite the 70% chance of getting stuck on each individual day.

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Answer:

66MPH

Step-by-step explanation:

First you would add up all three amounts of miles, so 177+188+163 to get 528. Then you would divide 528 by 8 to get the average MPH, which would be 66MPH.