How do you tell if the leading coefficient of a polynomial graph is positive or negative?

Step-by-step explanation:

when, c=-5.

c^2 – 8c-6 = 5^2 - 8×5 -6

= 25 - 40 -6

= -21

Answer: Rhombus

Step-by-step explanation:

It is a rhombus because all sides are equal and opposite sides are parallel.

Answer:

parallelogram

Step-by-step explanation:

Because the sides are parallel to each other.

Answer:

-23

Step-by-step explanation:

When you have to describe a 3D shape you have to keep the following definitions in mind:

1. The face of a 3D shape is a flat surface.

The shape on the picture has 3 rectangular faces and 2 triangular faces, a total of 5 faces.

2. The edge is where two faces meet.

For the shape on the picture, there are 3 edges, where the rectangular faces meet each other, and then three edges where the rectangular faces meet each of the triangular faces, this shape has a total of 9 edges.

3. The vertex is a corner, where the edges meet.

There are three vertices on each end of the shape, so it has a total of 6 vertices.

A shape that has 5 faces, 9 edges, and 6 vertices is a triangular prism.

Answer:

this is sum u made up

Step-by-step explanation:

a. The 90% confidence interval for the mean monthly electric bills of all residents is ($88.06, $91.94).

b. The 95% confidence interval for the mean monthly electric bills of all residents is ($87.05, $92.95).

To construct the confidence intervals, we use the formula: CI = X ± zα/2 * (σ/√n), where X is the sample mean, zα/2 is the critical value of the standard normal distribution for the desired level of confidence, σ is the population standard deviation, and n is the sample size.

For a 90% confidence interval, the critical value of zα/2 is 1.645. Plugging in the values, we get a confidence interval of ($88.06, $91.94). This means that we can be 90% confident that the true mean monthly electric bill for all residents falls between $88.06 and $91.94.

For a 95% confidence interval, the critical value of zα/2 is 1.96. Plugging in the values, we get a confidence interval of ($87.05, $92.95). This means that we can be 95% confident that the true mean monthly electric bill for all residents falls between $87.05 and $92.95.

In both cases, we can see that the confidence intervals are relatively narrow, which is a reflection of the large sample size and relatively small standard deviation of the sample. The larger the sample size and the smaller the standard deviation, the narrower the confidence interval will be.

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should be (5,-5) just because its in the 5 then when its going down its -5

The conditional density function of x given y is fx|y(x|y) = y^6x^1e^(-x(y^5)).

To find the conditional density functions of x given y and y given x, we need to use the definition of conditional probability and Bayes' theorem.

(a) To find fx|y(x|y):

fx|y(x|y) = f(x,y) / fy(y)

where fy(y) is the marginal density function of y. To find fy(y), we integrate the joint density function over all possible values of x:

fy(y) = ∫f(x,y)dx from x=0 to infinity

fy(y) = ∫(5xe^(-x(y^5)))dx from x=0 to infinity

fy(y) = 5/y^6

Now, we can find fx|y(x|y) as follows:

fx|y(x|y) = f(x,y) / fy(y)

fx|y(x|y) = (5xe^(-x(y^5))) / (5/y^6)

fx|y(x|y) = y^6x^1e^(-x(y^5))

So, the conditional density function of x given y is fx|y(x|y) = y^6x^1e^(-x(y^5)).

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\(\cos(40^o )=\cfrac{\stackrel{adjacent}{x}}{\underset{hypotenuse}{6}}\implies 6\cos(40^o )=x\implies 4.596\approx x\)

Make sure your calculator is in Degree mode.

Answer:

Step-by-step explanation:

Remark

The law of chord intersection is that each chord from one point on the circumference to the intersect point when multiplied by the left over amount of the chord = the same thing done to the other chord. It's easier to understand the formula used to solve this problem than it is to work through the definition.

Equation

x*4 = 14 * 2

Explanation

Take x from the chord's end on the circumference to the intersect point and four's length from the intersect point to the circumference. Multiply them

Do the same thing with the other chord.

Solution

4x = 28          Divide by 4

x = 28/4

x = 7

Answer: C | SAS

Step-by-step explanation:

C. SAS - This acronym stands for Side-Angle-Side congruence. This criteria implies that △ABC≅△DEF if two sides and the included angle of one triangle are congruent to two sides and the included angle of the other triangle.

The length of a pendulum with a period of 2 seconds is approximately 51.

the formula for the period of a simple pendulum as a function of its length is given as:

t(l) = 2π √(l/32.2)

we can rearrange this equation to solve for l:

t(l) = 2π √(l/32.2)

t(l)/(2π) = √(l/32.2)

[t(l)/(2π)]² = l/32.2

l = 32.2 * [t(l)/(2π)]²

to determine the length of a pendulum with a period of 2 seconds, we can substitute t = 2 seconds into the equation above:

l = 32.2 * [2/(2π)]²

l = 32.2 * [1.2732]²

l ≈ 51.92 feet 92 feet when π is taken to be 3.14 and rounding to the nearest hundredth.

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Answer:

15625

Step-by-step explanation:

(-5) ^ 2 * (-5) ^ 4

-5 to the second power is -25

-5 to the 4th power is -625

-25 * -625 = 15625

Just multiply 25 by 625 to get 15625 because negative * negative = positive

HOPE IT HELPED

Answer:

28

Step-by-step explanation:

I took the test and It says 28

Answer: Negative

Step-by-step explanation:

Look at it this way

+ - +

- + -

+ - +

No matter what way you do it, if you make a "tic-tac-toe" line in any direction, it'll make the answer

Answer:

it will be negative

Step-by-step explanation:

like if i multiplied -6 by positive 5 the answer is negative 30

yt is anser 4325

Step-by-step explanation:

To calculate all four second-order partial derivatives of f(x, y) = (5x + 2y) 9xy^3, we first need to find the first-order partial derivatives:

f_x(x, y) = 45xy^3 + 10y^4
f_y(x, y) = 18x^2y^2 + 10x^3

Then we can find the second-order partial derivatives by taking the partial derivative of each of these first-order partial derivatives with respect to x and y:

f_xx(x, y) = 45y^3
f_xy(x, y) = 135xy^2 + 40y^3
f_yx(x, y) = 135xy^2 + 40y^3
f_yy(x, y) = 36x^2y + 20x^3

So the four second-order partial derivatives of f(x, y) are:

f_xx(x, y) = 45y^3
f_xy(x, y) = 135xy^2 + 40y^3
f_yx(x, y) = 135xy^2 + 40y^3
f_yy(x, y) = 36x^2y + 20x^3

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Answer:

Part A:

40 = 16 + 4·s

Part B:

The length of the top and bottom and the two shelves are each = 6 ft.

Part C:

The width of the bookshelf is 6 feet

Step-by-step explanation:

The given parameters are;

The length of the lumber Henry is using to make the book case = 40 ft.

The height of the left and right side of the book case = 8 ft. each

The length of the top and bottom and the two shelves are each = s

Therefore, we have;

Part A:

The equation is given as follows;

40 = 8 × 2 + 4·s = 16 + 4·s

40 = 16 + 4·s

Part B:

The solution of the equation is given as follows;

40 = 16 + 4·s

4·s= 40 - 16 = 24

s = 24/4 = 6 ft.

s = 6 ft.

The length of the top and bottom and the two shelves are each = 6 ft.

Part C:

The width of the bookshelf is 6 feet

The length, width and height of the open rectangular box is 4.76, 4.76 and 2.38 respectively.

Open rectangular box, so there is no top

SA = 2lh + 2wh + lw

V = lwh = 54cm^3

h = 54/(wl)

SA = 2xl(54/(wl)) + 2w54/(wl) + lw

SA = 108/w + 108/l + lw

Find minimum SA: take partial derivatives to get critical point(s)

SAw = -108/w² + l

SAl = -108/l² + w

Both the partials have to be 0, so...

0 = -108/w² + l and 0 = -108/l² + w

108/w² = l

0 = -108/(108/w²)² + w (plug into second equation)

0 = -w⁴/108 + w

0 = w(1-w³/108)

1 = w³/108 or 0 = w (impossible answer)

108 = w³

4.76 = w

Plug w back into 108/w² = l

108/(4.76)² = l

4.76 = l

Plug w and l back into h = 54/(wl)

h = 54/(4.76x4.76)

h = 2.38

The Surface Area:2lh + 2wh + lw

SA = 2 x 4.76 x2.38 + 2x4.76 x2.38 + 4.76 x4.76

SA = 22.65 + 22.65 + 22.65

SA = 67.97

So the answer is length = 4.76cm, width = 4.76cm, and height = 2.38cm, with Surface Area of 67.97cm²

Therefore, the length of the edges of the open rectangular box is 4.76, 4.76 and 2.38 respectively.

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The cost of the calculator before the total is $24.95

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

Total cost = $28.19

Tax = 13%

Using the above as a guide, we have the following:

Total cost = Initial cost * (1 + Tax)

substitute the known values in the above equation, so, we have the following representation

Initial cost  * (1 + 13%) = 28.19

So, we have

Initial cost   = 28.19/(1.13)

Evaluate

Initial cost = 24.95

Hence, the cost of the calculator before the total is $24.95

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Answer:

d

Step-by-step explanation:

Distance and recession velocity the Hubble relation links two characteristics of distant objects in the universe:

their redshift and their distance from Earth. This relationship is crucial for understanding the expansion of the universe, as it helps us measure the distances to faraway celestial objects and study their motion relative to us.

What are Distance Sensors?

Distance sensors, as the name implies, are used to determine the distance of an object from another object or barrier without the use of physical touch (unlike a measuring tape, for example).

What is the sensor equation?

The sensor size may be estimated by multiplying the pixel size by the resolution along each of the two dimensions. The focal length may be computed using the formula: Focal Length x FOV = Sensor Size x Working Distance.

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Answer: D.

Step-by-step explanation:

You can start out with the form AX = B and solve for matrix X that would yield the answer

Then X = (A^-1)(B)

A = [1    -1]

      [1     1]

A^-1 = (1/(1 - (1)(-1)))*[1    1]

                             [-1   1]

which can be written as (1/2) * [1    1]

                                                  [-1   1]

B = [26]

     [6]

(A^-1)(B) = (1/2)*[1    1] [6]

                        [-1   1] [26]

= (1/2)*[32]

          [20]

= [16]

  [10]

Answer:

d

Step-by-step explanation:

Answer:

  3.75 miles

Step-by-step explanation:

You want to know the number of miles represented by 6 km, when the relationship is 1.6 km = 1 mile.

Anytime measures are related by a constant conversion factor, the values of the measures in one unit are proportional to the values expressed in a different unit. That is, the ratio of km to miles is a constant.

We can let d represent the distance between the school and the park.

  miles / km = (1 mi)/(1.6 km) = d/(6 km) . . . . miles and km are proportional

Multiplying by 6 km, we get ...

  d = (6 km)(1 mi)/(1.6 km) = (6/1.6) mi ≈ 3.75 mi

The school and the park are 3.75 miles apart.

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The number is 16

PS: had to type more than 20 words

Answer:

16

Step-by-step explanation:

80 X 20 = 16 questions answered correctly.

Answer:

14 4 point questions and 26 2 point questions

Step-by-step explanation:

i just know