a flying squirrel jumped from a tree 11 feet in the air at an initial velocity

The solutions are 1+i and 1-i of the quadratic equation x²-2x+2=0

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

The quadratic formula to find solution of an equation is

x=-b±√b²-4ac/2a

The given equation is x²-2x+2=0

a=1, b=-2, c=2

x=2±√4-4(1)(2)/2(1)

x=2±√-4/2

x=2±2i/2

x=1+i, 1-i

Hence, the solutions are 1+i and 1-i of the quadratic equation x²-2x+2=0

To learn more on Quadratic equation click:

https://brainly.com/question/17177510

#SPJ1

The angle measure of the minor arc is 62°

A circle is the locus of a point such that its distance from a fixed point (center) is always constant.

The diameter is the length of the line that passes through the center circle touching two points on the circle's circumference.

The arc of a circle is the part or segment of the circumference of a circle.m∠EFG = minor arc EGminor arc EG = 62°

The measure of the arc is 62°

Find out more on circle at: https://brainly.com/question/24375372

#SPJ1

Given:

To transform the given equation into standard form,

Answer: 2x + y = 3

Answer:

30

Step-by-step explanation:

A simple way to find an unknown value in an equality with fractions is to cross-multiply:

How to cross-multiply:

1. Multiply the first numerator by the second denominator (or vise versa).

2. Multiply the second numerator by the first denominator(or vise versa).

3. Put these values into an equation, making them equal to one another.

4. Find the unknown value by solving the equation.

Now, using your problem, I will take you through the steps of cross-multiplying:

(The unknown value will be written as a variable x.)

(1.)  15 × 10 = 150

(2.)  5 × x = 5x

(3.)  5x = 150

Divide both sides of the equation by 5 to find the exact value of x.

\(\frac{5x}{5}\) = \(\frac{150}{5}\)

After dividing, the equation will show x = 30, which is the unknown value.

___________

\( \: \)

\( \frac{15}{ \boxed{}} = \frac{5}{10} \)

\( \frac{15}{x} = \frac{5}{10} \)

\(x = \frac{15 \times 10}{5} \)

\(x = \frac{150}{5} \)

x = 30

The point (-√2,1) can also be represented as (√3, 5.18) in polar coordinates.

To find the polar coordinates of the rectangular coordinates (-√2,1), we can use the following formulas:

r = √(x² + y²)

θ = tan^⁻1(y/x)

Plugging in the given values of (-√2,1), we get:

r = √((-√2)² + 1²) = √(2 + 1) = √3

θ = tan^⁻1(1/(-√2)) ≈ 2.0344 radians

Note that since the point (-√2,1) is in the second quadrant, we need to add π to the value of θ obtained from the inverse tangent in order to obtain an angle in the interval [0,2π). Thus, we have:

θ ≈ 2.0344 + π ≈ 5.1779 radians

Rounding to 2 decimal places as needed, we get the polar coordinates of (-√2,1) as (r,θ) ≈ (√3, 5.18).

For such more questions on coordinate

https://brainly.com/question/29660530

#SPJ8

The cuboid in question has a surface area of 202 square units.

We must sum together the areas of all six faces to determine a cuboid's surface area.

The dimensions of the given cuboid are:

length (l) = 9 units

width (w) = 5 units

height (h) = 4 units

The area of each face is given by:

Top and bottom faces:\(lw = 9 * 5 = 45\) square units each

Front and back faces: \(lh = 9 *4 = 36\) square units each

Left and right faces: \(wh = 5 * 4 = 20\) square units each

Therefore, the total surface area of the cuboid is:

\(2(lw + lh + wh) = 2(45 + 36 + 20)\\ = 2(101) \\= 202 \ square \ units\)

Hence, the surface area of the given cuboid is 202 square units.

Learn more about the Surface area here:

https://brainly.com/question/29298005

#SPJ1

Solution:

Step 1:

Problem definition:

We are reqiured to detetrmine which of the options would be in the solution set to the system of inequalities given

Step 2:

What is/are given?

Step 3:

Plot the graph of the two inequalities:

The gaph of the inequaities is shown below

Step 4: Determine the solution of the inequalities:

Looking at the graph of the inequalitues, we can see the two graphs is unbounded (that is they do not have a common region). This implies the system of inequaliteis has no solution.

Conclusion:

The correct option is No solution

Using Pythagorean theorem, the length of the ladder is 10ft

In mathematical terms, if y and z are the lengths of the two shorter sides (also known as the legs) of a right triangle, and x is the length of the hypotenuse, the Pythagorean theorem can be expressed as:

x² = y² + z²

In the questions given, the only one we can use Pythagorean theorem to solve is the one with ladder since it's forms a right-angle triangle.

To calculate the length of the ladder, we can write the formula as;

x² = 8² + 6²

x² = 64 + 36

x² = 100

x = √100

x = 10

The length of the ladder is 10 feet

Learn more on Pythagorean theorem here;

https://brainly.com/question/343682

#SPJ1

Answer: $3.68

Step-by-step explanation:

Answer:

The central angle is the measure of minor arc AB. The central angle here is 60 degrees, shown by the third circle down from the top. This is the right answer.

Step-by-step explanation:https://brainly.com/question/12790519#:~:text=The%20central%20angle%20is%20the,This%20is%20the%20right%20answer.

Ten times to get the required amount of 100ml of milk for her recipe.

Avery needs to measure 100ml of milk for her recipe but she only has a 10ml measuring cup.

Therefore, she needs to determine how many times she will need to fill her 10ml measuring cup to get the required amount of milk.

To calculate this, we can divide the required amount of milk by the capacity of the measuring cup. In this case, we divide 100ml by 10ml to get:

100ml ÷ 10ml = 10

This means that A very will need to fill her 10ml measuring cup 10 times to get the required amount of milk for her recipe.

Another way to think about it is to consider that 100ml is ten times the capacity of the 10ml measuring cup. Therefore, Avery will need to fill the measuring cup ten times to get the required amount of milk.

In summary, Avery will need to fill her 10ml measuring cup ten times to get the required amount of 100ml of milk for her recipe. t

for similar questions on recipe

https://brainly.com/question/25936585

#SPJ11

Answer:

the set of all real numbers -1≤y≤1

Step-by-step explanation:

according to the definition of 'sin'-function, the max value of it is '+1' and the min is '-1'. Finally, the correct answer is B. the set of all real numbers -1≤y≤+1.

Let's assume that John buys x boxes of Cereal A and y boxes of Cereal B. Then, we can write the following system of inequalities based on the nutrient and calorie requirements:

10x + 5y ≥ 500 (minimum 500 units of vitamins)

5x + 10y ≥ 600 (minimum 600 units of minerals)

15x + 15y ≥ 1200 (minimum 1200 calories)

We want to minimize the cost, which is given by:

0.5x + 0.4y

This is a linear programming problem, which we can solve using a graphical method. First, we can rewrite the inequalities as equations:

10x + 5y = 500

5x + 10y = 600

15x + 15y = 1200

Then, we can plot these lines on a graph and shade the feasible region (i.e., the region that satisfies all three inequalities). The feasible region is the area below the lines and to the right of the y-axis.

Next, we can calculate the value of the cost function at each corner point of the feasible region:

Corner point A: (20, 40) -> Cost = 20

Corner point B: (40, 25) -> Cost = 25

Corner point C: (60, 0) -> Cost = 30

Therefore, the minimum cost is $20, which occurs when John buys 20 boxes of Cereal A and 40 boxes of Cereal B.

Answer:

3 1/2 = 1/2*p-2

Explanation: p is number of puzzles

Answer:

He completes 3 1/3 puzzles

Step-by-step explanation:

1 hour 30 mins+ 45 minutes+45 minutes+45 minutes+15 minutes = 4hrs

Answer:

\(4^{4}\)×\(6^{2}\)

Step-by-step explanation:

There is 2 of the same number 6 and there is 4 of the number 4

I hope this helps

Answer: In point C.

Step-by-step explanation:

Plane ADB is the plane that contains the points A, D and B.

If you look in the image, you can see that point C also does belong to this plane.

Line EC is the line that connects the points E and C.

Now, remember that Point C does belong to the plane ADB, then the point where the plane ADB and line EC intersect is in point C, because it is a common point to both elements.

Answer:

Triangles have two meanings depending on their position. When pointing up, they represent stability and power, when pointing down they become unstable. The triangle is primarily a masculine shape, but when inverted it also represents female reproduction. Triangles possess a number of key advantages that make them ideal for both architects and curious students. The strength of a triangle derives from its shape, which spreads forces equally between its three sides.

Step-by-step explanation:

If the value of sin x = 0.2, then the values for sin(π - x) is 0.2.

Given that,

the value of sin x = 0.2

We have to find the value of sin(π - x).

We know the trigonometric rule that,

sin(π - x) = sin (x)

for any value of x.

So here whatever the value of x, the value of  sin(π - x) is sin (x) itself.

So here sin x = 0.2.

So, by the rule,

sin(π - x) = sin (x) = 0.2

Hence the value is 0.2.

Learn more about Trigonometric Rules here :

https://brainly.com/question/30641505

#SPJ1

Answer:

11

Step-by-step explanation:

i don't know

Answer:

50 people until it was equal

Step-by-step explanation:

6p=100+4p

2p=100

p=50

6(50)=100+4(50)

300=100+200

300=300

Answer:

Based on the provided information, the table summarizes service times (in seconds) of dinners at a fast food restaurant. To determine the number of individuals included in the summary, we can sum up the frequencies listed in the table:

7 + 24 + 14 + 1 + 4 = 50

Therefore, there are 50 individuals included in the summary.

Regarding the exact values of all the original service times, it is not possible to determine them precisely based on the given information. The table only provides ranges of service times and their corresponding frequencies. We can determine the range within which each individual's service time falls, but we cannot determine the exact value within that range.

The range is \(\boxed{-4 \leq y < 0}\).

The product  of two numbers 2.8 × 10³ and 9.7 × 10³ can be represented in scientific notation as, 2.716 x 10⁷

The standard form for a number is a method by which we write number in a format like b×10ˣ. The value of b should be in between 0 to 10.

Given that,

The numbers,

2.8 × 10³

And  9.7 × 10³

the product in scientific notation = ?

the product in scientific notation = 2.8 × 10³ x 9.7 × 10³

It is known that,

if same numbers are in multiplication form,

their powers can be added

the product in scientific notation = 27.16 x 10³⁺³

                                                       = 27.16 x 10⁶

It can be further written as,

multiplied and divide by 10

the product in scientific notation = 27.16 x 10⁶x10/10

                                                       = 2.716 x 10⁷

Hence, the product is 2.716 x 10⁷

To know more about scientific notation check:

https://brainly.com/question/4953486

#SPJ1

The answer is that the Governor's claim is correct.

We know that ,

X - μ / s/√n

t ₙ₋₁ i.e; t-distribution with (n-1) d.f. when the population standard deviation is unknown.

X - t₀.₉₅,ₙ₋₁ / s/√n

X + t₀.₉₅,ₙ₋₁ / s/√n

Let n be the sample size of the given sample.

The 95% confidence interval of the population mean is where,

n = 78, s = 3.

Given the sample size, we can compute the above.

be the average income of nurses.

We have to test, H0:

= 55,775 against H1:

> 55,775

The test-statistic is, T = X - μ / s/√n

X = 58,445,

X = 55,775, s = 3800, n = 60

Thus, T = 5.4426

Under H0, T ~ t-distribution with (n-1) d.f. i.e. 59 d.f.

The p-value = P(T > 5.4426) = 0

Since, p-value < level of significance (0.05), we reject the null hypothesis H0.

So, we conclude that the Governor's claim is correct.

To learn more about standard deviation click here:

brainly.com/question/23907081

#SPJ4

Answer:

3. ASA (Angle Side Angle)

4. CPCTC (Congruent Parts of Congruent Triangles are Congruent)

Step-by-step explanation:

Since angle Q is congruent to angle T, side QR is congruent to side TR, and angle R is congruent to angle R, we can say that the triangles are congruent because of the Angle Side Angle Postulate.

With that being said, the other parts of the triangle are congruent, which is proved by the CPCTC theorem.

#teamtrees #WAP (Water And Plant)