Denzel wants to walk to the store from his house but he is not sure how far away it is.Find the distance between his house (-6, 8) and the store (7, -1). Each unit is equal toone mile. Round your answer to the nearest mile. Also, describe how you found youranswer.

Another term for roots or x intercept is zeroes.

In algebra, a quadratic equation is any equation that can be rearranged in standard form ax^2+bx+c, where x represents an unknown value, and a, b, and c represent known numbers, where a ≠ 0. (If a = 0 and b ≠ 0 then the equation is linear, not quadratic.)

The numbers a, b, and c are the coefficients of the equation and may be distinguished by respectively calling them, the quadratic coefficient, the linear coefficient and the constant coefficient or free term.

Roots are also called x-intercepts or zeros. A quadratic function is graphically represented by a parabola with vertex located at the origin, below the x-axis, or above the x-axis. Therefore, a quadratic function may have one, two, or zero roots.

Hence , another term for roots or x intercept is zeroes.

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Answer:

3/32 in^3

Step-by-step explanation:

volume = length * width * height

V=3/4 * 1/2 * 1/4

V= 3/32

Answer:

3/32inches^2

Step-by-step explanation:

The coefficient of lift at α = 2.4° can be calculated using thin airfoil theory by applying the equation CL = 2πα. The resulting CL value is 0.264

Using thin airfoil theory, the coefficient of lift (CL) can be calculated as follows:

CL = 2πα

Where α is the angle of attack in radians. Therefore, when α = 2.4° (or 0.042 radians), we can substitute it into the equation:

CL = 2π(0.042) = 0.264

Therefore, the coefficient of lift at α = 2.4° is 0.264.



The coefficient of lift (CL) can be calculated using thin airfoil theory, which states that CL is directly proportional to the angle of attack (α). Specifically, the equation CL = 2πα can be used to determine the CL at a given angle of attack. When α = 2.4°, the equation yields a CL of 0.264, which means that the lift generated by the airfoil at this angle of attack is 0.264 times the dynamic pressure of the fluid. This information can be useful in designing and analyzing airfoils for various applications.

In summary, the coefficient of lift at α = 2.4° can be calculated using thin airfoil theory by applying the equation CL = 2πα. The resulting CL value is 0.264, which represents the lift generated by the airfoil at this angle of attack. This calculation is important for designing and analyzing airfoils in various applications.

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Answer:

Step-by-step explanation:

Answer:

312 meters

Step-by-step explanation:

X = \(\frac{13}{3}\) · \(\frac{72}{1}\)

X = 13 · 24

Answer:

5555+2929

= 8484

its an irrational no.

thanks

Answer:43000

Step-by-step explanation:

Answer:  43000

Step-by-step explanation:

Answer:

copper ??  the "slope" is 8.75

Step-by-step explanation:

Answer:

H 40%

Step-by-step explanation:

29+27+24=80

32/80=0.4

Answer:

Step-by-step explanation:

32/80 x 100 = 40%

Answer:

  about 48°

Step-by-step explanation:

You want the angle of inclination of a hill with a 30 m water tower on top that subtends an arc of 8° when observed from a point 120 m down the hill.

We have triangle ABD with sides AB and AD given, along with angle D. This is sufficient information to let us find the measure of angle B using the Law of Sines.

  sin(B)/AD = sin(D)/AB

  B = arcsin(AD/AB·sin(D))

  B = arcsin(120/30·sin(8°) ≈ 33.83°

Angle BDE is the complement of this angle, so is 56.17°. Angle ADE is 8° less, so is ...

  ∠ADE = ∠BDE -8° = 56.17° -8° = 48.17°

The angle of inclination of the hill is about 48.17°.

<95141404393>

(a) Using the given data, we can verify the calculations as follows: ∑x = 245, ∑x^2 = 14,755, ∑y = 224.

(b) To compute the sample mean, variance, and standard deviation for the percentage success of mallard duck nests (x), we use the formulas:

Sample Mean (x) = ∑x / n

Variance (s^2) = (∑x^2 - (n * x^2)) / (n - 1)

Standard Deviation (s) = √(s^2)

(c) Applying the formulas, we can compute the sample mean, variance, and standard deviation for x as follows:

Sample Mean (x) = 245 / 5 = 49

Variance (s^2) = (14,755 - (5 * 49^2)) / (5 - 1) = 4,285

Standard Deviation (s) = √(4,285) ≈ 65.5

Similarly, for the percentage success of Canada goose nests (y), the calculations can be done using the same formulas and the given values from part (a).

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\(\large\underline{\sf{Solution-}}\)

Given that,

In triangle ABC

\( \purple{\rm :\longmapsto\:\angle A + \angle B = 125 \degree \: - - - (1) }\)

\( \purple{\rm :\longmapsto\:\angle B + \angle C = 150 \degree \: - - - (2)}\)

We know,

Sum of all interior angles of a triangle is supplementary.

\( \purple{\rm :\longmapsto\:\angle A + \angle B + \angle C = 180\degree }\)

On adding equation (1) and (2), we get

\( \purple{\rm :\longmapsto\:\angle A + \angle B + \angle B + \angle C = 125\degree + 150 \degree \:}\)

\( \purple{\rm :\longmapsto\:\angle A + \angle B + \angle C + \angle B = 275\degree \:}\)

\( \purple{\rm :\longmapsto\:180\degree + \angle B = 275\degree \:}\)

\( \purple{\rm :\longmapsto\:\angle B = 275\degree - 180\degree \:}\)

\( \purple{\rm :\longmapsto\:\angle B = 95\degree \:}\)

On substituting the value in equation (1) and (2), we get

\( \purple{\rm :\longmapsto\:\angle A + 95\degree = 125\degree }\)

\( \purple{\rm :\longmapsto\:\angle A = 125\degree - 95\degree }\)

\( \purple{\rm :\longmapsto\:\angle A = 30\degree }\)

Also, from equation (2), we get

\( \purple{\rm :\longmapsto\:95\degree + \angle C = 150\degree }\)

\( \purple{\rm :\longmapsto\:\angle C = 150\degree - 95\degree }\)

\( \purple{\rm :\longmapsto\:\angle C = 55\degree }\)

Hence,

\(\begin{gathered}\begin{gathered}\bf\: \rm\implies \:\begin{cases} &\sf{\angle A = 30\degree } \\ \\ &\sf{\angle B = 95\degree } \\ \\ &\sf{\angle C = 55\degree } \end{cases}\end{gathered}\end{gathered}\)

Answer:

angle A=30°

angle B=95°

angle C=55°

Answer:

8/2

eight halves

Step-by-step explanation:

please mark this answer as brainliest

Answer:

4c^2 - 3a^2 -7ac +6bc -ab

Step-by-step explanation:

solve first 3a( a + b + c) - 2b ( a+ b +c)

which is = 3a^2 + 3ab + 3ac - 2ab - 2b^2 -2bc

there for 4c(-a + b +c) -( 3a^2 + 3ab + 3ac - 2ab - 2b^2 - 2bc)

= -4ac-3ac +4bc+2bc -3ab+2ab + 4c^2 -3a^2

=4c^2 - 3a^2 -7ac +6bc -ab

Answer:

8n+7

Step-by-step explanation:

9514 1404 393

Answer:

  one solution (11, 4)

Step-by-step explanation:

Both equations describe curves with positive slope. The y-intercept of the line (-7) is less than that of the root function (-2), so the line must intersect the root function in exactly one place. There is one solution.

__

Solved in the conventional way, the equation would become a quadratic, with two solutions. One of them is extraneous. (That is why I prefer a graphical solution.)

Given ...

  x -y = 7

  y = √(3x +3) -2

We can substitute for y to get ...

  x -7 = √(3x +3) -2

  x -5 = √(3x +3)

  x^2 -10x +25 = 3x +3 . . . . . . square both sides

  x^2 -13x +22 = 0 = (x -11)(x -2) . . . . . gives solutions x=11, x=2

The value x=2 does not satisfy the equation ...

  x -7 = √(3x +3) -2   ⇒   2 -7 = √(3·2 +3) -2   ⇒   -5 = 1 (false)

The probability the subscriber has cable service is : 0.1163

We have a information from the question:

There is a 0.24 probability the subscriber has a DVR player.

and, If the subscriber does not have cable service (e.g., has satellite service)

There is a 0.7 probability the subscriber has a DVR player.

Assume 75% of subscribers have cable service.

Now, According to the question:

Let A1 be the event subscriber has cable service and A2  subscriber does not have cable service

A1 and A2 are mutually exclusive and exhaustive

P(A1) = 0.75, P(A2) = 0.25

B = Subscriber has a DVD player

P(B/A1) =0.24 and P(B/A2) = 0.7

Probability for the subscriber does not have a DVR player

=> 0.75 × (1 - 0.24) + 0.25(1 - 0.7)

=> P(B') = P(A1B')+P(A2B') = 0.57 + 0.075 = 0.645

Hence, Required probability = P(A2/B') = P(A2B')/P(B)

=> 0.075/ 0.645

=> 0.1163.

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The given question is incomplete, complete question is:

If a television service subscriber has cable service, there is a 0.24 probability the subscriber has a DVR player. If the subscriber does not have cable service (e.g., has satellite service), there is a 0.7 probability the subscriber has a DVR player. Assume 75% of subscribers have cable service and answer the following for a randomly selected television service subscriber: If the subscriber does not have a DVR player, what is the probability the subscriber has cable service

The object falls from 115200 ft above the ground.

What is the quadratic equation?

A quadratic equation is any algebraic equation of the highest degree. The standard form of the quadratic equation in a variable is ax² + bx + c = 0, where a and b are coefficients, are constant, and is a non-zero numbers.

The acceleration of the object is given by the equation a = 32 - (v^2)/8 ft/s^2. Since the object is initially at rest, we can assume that v = 0 at the start of its fall.

To find the height from which the object fell, we need to use the equations of motion for uniformly accelerated motion. The equation for the distance traveled by an object under constant acceleration is:

d = 1/2 at^2 + vt + d0

where d is the distance traveled, a is the acceleration, t is the time, and d0 is the initial distance (which is zero in this case, since the object is initially at rest).

We know that the object is falling for one minute, and we can convert that to seconds by multiplying by 60. The acceleration is given by a = 32 - (v^2)/8, we know that v = 0, so a = 32 - (0^2)/8 = 32 ft/s^2.

Plugging in the values, we get:

d = 1/2 (32 ft/s^2) (60 s)^2

d = 32 x (3600)

d = 115,200 ft

This is the distance that the object fell. To find the height from which it fell, we simply have to take the distance and negate it.

So the height from which the object fell is:

-115,200 ft

Hence, the object falls from 115200 ft above the ground.

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Sun's diameter is 109.16653 times more than Earth's diameter.

Physical quantities such as length, current, mass, volume, temperature, area, intensity, and others are represented by units of measurement. To express the size of physical quantities, we employ a variety of measuring units, including traditional ones, the metric system, and US customary units.

Units of Length are

Kilometers, Nanometre, Millimeters, Centimeters, Meters, and Decimetres

Here we have

Planet Earth has an approximate diameter of 1.2742×10¹⁰ millimeters.

The sun has a diameter of 1.391×10⁶ kilometers.    

Part I:

Given that, for every kilometer, there are 1,000,000 millimeters,

Here 1000000 = 10⁶

Then the diameter of the earth = 1.2742×10¹⁰/10⁶

= 1.2742×10⁴  

Here using the unit kilometer is best to represent the lengths of the sun and earth's diameter because it allows using fewer digits compare to millimeters.  

Part II

Let Earth's diameter is less 'x' times than Sun's diameter  

=> [ 1.2742×10⁴ ] × x = 1.391×10⁶  

=> x = 1.391×10⁶/1.2742×10⁴ = 1.0916653 × 10² = 109.16653  

Therefore,

Sun's diameter is 109.16653 times more than Earth's diameter.

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To determine if a matrix is diagonalizable, you first need to check if it is a square matrix. If it is not a square matrix, it cannot be diagonalized.

If it is a square matrix, you will then need to check the eigenvalues of the matrix to determine if there is a basis of eigenvectors. If the matrix has at least n linearly independent eigenvectors, where n is the number of columns of the matrix, then the matrix is diagonalizable.

For example, if a matrix is 2x2, it will need two linearly independent eigenvectors in order to be diagonalizable.

If the matrix is diagonalizable, then it can be transformed into a diagonal matrix by the product of a matrix composed of the eigenvectors and its inverse.

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To determine if a matrix is diagonalizable, we need to find the eigenvalues and eigenvectors, and check if the eigenvectors form a basis for the space. If they do, then the matrix is diagonalizable.

1. Find the eigenvalues of the matrix. The eigenvalues are the values of λ that satisfy the equation det(A - λI) = 0, where A is the matrix, I is the identity matrix, and det is the determinant.

2. Find the eigenvectors of the matrix. The eigenvectors are the vectors x that satisfy the equation (A - λI)x = 0, where A is the matrix, λ is an eigenvalue, and I is the identity matrix.

3. Check if the eigenvectors form a basis for the space. If the eigenvectors form a basis, then the matrix is diagonalizable. If the eigenvectors do not form a basis, then the matrix is not diagonalizable.

4. If the matrix is diagonalizable, then we can find a matrix P such that P^-1AP = D, where D is a diagonal matrix with the eigenvalues on the diagonal.

So, a matrix is diagonalizable, if it has eigenvalues and eigenvectors, and  if the eigenvectors form a basis for the space. If they do, then the matrix is diagonalizable, and we can find a matrix P that diagonalizes the matrix.

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Matching answers are:

Outlier - B

Variable - F

Statistics - H

Center - A

Data - E

Population - C

Spread - G

Outlier - B: An outlier is a data point that lies an unusual distance from other data points in a given dataset. It is a point that is far from the general data and can significantly affect the mean, median, and mode calculations.

Variable - F: A variable is a characteristic or attribute of an object or individual in a population or sample. It is a characteristic that differs from one member to another in a population. For example, age, gender, income, and education are variables that can be used to study a population or sample.

Statistics - H: Statistics is the science of collecting, analyzing, and interpreting data about a group of people, things, or events. It is used to make inferences about a population based on a sample, and to make decisions based on data.

Center - A: The center is a single value that is representative of all the individual values in a set of data. The most commonly used measures of center are mean, median, and mode.

Data - E: Data is the information you collect when studying a population or a sample. It can be in the form of numbers, words, or images, and can be collected through various methods such as surveys, experiments, and observations.

Population - C: A population is a set of people, things, or events that are the subjects of a study. It is the entire group of individuals, objects, or events that we want to learn about, and from which we collect data.

Spread - G: Spread tells us how much the data varies within a given dataset. It is a measure of how spread out or clustered the data is around the center. The most commonly used measures of spread are range, interquartile range, variance, and standard deviation.

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Net rendering is a method of rendering a computer-generated animation or image on multiple computers over a network.

Net rendering is a method of rendering a computer-generated animation or image on multiple computers over a network. This technique allows a user to take advantage of the computing power of multiple computers to render a scene. To do this, the user would divide the scene into several parts, assigning each part to a different computer. The computers would then render each part of the scene independently, and then the results are combined into a single image. This process can significantly reduce the time required to render a scene, as the workload is distributed over multiple computers. For example, if it would normally take a single computer 10 minutes to render a scene, net rendering could reduce that time to 2 minutes.

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Answer:

c

Step-by-step explanation:

200+175+75=450

450*85/100==382.50

Answer:

382.50 :)

Step-by-step explanation:

15% of 450 is 67.5

450 - 67.5 = 382.50

Answer:

a) "3y-1" is not a linear equation because it is missing an equal sign. It is just an expression.

b) "x²+1=5" is not a linear equation because it contains a squared term.

c) "y<7" is not an equation at all. It is an inequality.

d) "6y+1=0" is a linear equation because it can be written in the form y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is -6/1 and the y-intercept is 1/6.

Answer:

3/6 of her clothes are white

2/6 of her clothes are black

Answer:

6g+6h

Step-by-step explanation:

This is one way to re-write using the distributive property

Answer:

6g+6h

Step-by-step explanation:

The distributive property tells us how to solve expressions in the form of a(b + c). So, one simple way of rewriting the equation would just be 6g + 6h.

Calculation of market rate of interest at the time of purchasing the bondThe information given in the problem is as follows:FV = $1000PMT = (7% of 1000)/2 = $35 (semiannual)N = 10 * 2 = 20 (semiannual)Semi-annual yield = 7% (coupon rate)/2 = 3.5%

Using the above-given information, the value of the bond can be calculated as follows: The price of the bond at the time of purchase = $1000 = PV= $832.67This implies that the market rate of interest at the time of purchasing the bond was 8.5%.b)

Calculation of selling the bond todayThe market rate of interest is now 8%. Using the given formula, the value of the bond can be calculated as follows: 
PMT = (7% of 1000)/2 = $35 (semiannual)N = 10 * 2 = 20 (semiannual)The price of the bond today = $881.57
Quoted price of bond = 88.16% = 0.8816 x $1000 = $881.6Current yield on bond = (70/881.6) x 100 = 7.94%Annual holding period return on bond = [(881.57-832.67) / 832.67] / 6.5 = 0.59%Suppose the bond is offered at $950, the holding period return will be calculated as follows: 
Holding period return = [(950-832.67) / 832.67] / 6.5 = 1.42%As per the given scenario, the annual holding period return on the bond is 0.59%. So, it can be concluded that the friend's offer is better than the current return. So, it is recommended to sell the bond to the friend.

The market rate of interest at the time of purchasing the bond was 8.5%.The price of the bond today = $881.57.The quoted price of the bond is $881.6.The current yield on bond is 7.94%.The annual holding period return on bond is 0.59%.The holding period return if bond is sold to a friend for $950 is 1.42%.

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