The equation ​yˆ=−6.2x2+41.5x−5.6​ approximates the average number of cars that pass through an intersection x hours after 3:00 p.m. What is the best estimate for the average number of cars that pass through the intersection at 5:30 p.m.?

Answers

Answer 1

Answer:

59

Step-by-step explanation:

5: 30 pm is 2.5 hours after 3 : 00 pm

Substitute x = 2.5 into the equation

y = - 6.2(2.5)² + 41.5(2.5) - 5.6

  = - 38.75 + 103.75 - 5.6

  = 59.4

The average number of cars is 59


Related Questions

el perimetro de un terreno rectangular es de 170m y su area es de 170^2hallar la medida de sus lados con ecuacion cuadratica

Answers

Answer:

Acá tenemos un sistema de ecuaciones.

El perímetro de un rectángulo es:

2*A + 2*L = 170m

donde A es el ancho y L es el largo.

Y el área del rectángulo es:

A*L = 170m^2.

Entonces, el primer paso es aislar una de las variables en una de las ecuaciones, yo voy a aislar A en la segunda:

A = 170m^2/L.

Ahora reemplazo eso en la primera ecuación y la resuelvo para L.

2*( 170m^2/L.) + 2*L = 170m.

340m^2 + 2*L^2 = 170m*L

ahora tenemos una ecuación cuadrática:

2*L^2 - 170m*L + 340m^2 = 0.

Las soluciones se pueden obtener usando la formula de Bhaskara:

[tex]L = \frac{+170 +- \sqrt{170^2 -4*340*2} }{2*2} = \frac{170 +-161.8}{4}[/tex]

Entonces las soluciones son:

L = (170 + 161.8)/4 = 82.95m

L = (170 - 161.8)/4 = 4.1m

Entonces, si tomamos L = 82.95m, tenemos A = 4.1 m

y el área es:

A*L = 4.1m*82.95m = 170m^2

(2x + 3)(5x2 - 2x - 1) = Ax3 + Bx2 + Cx + D. What are the values of B and C?

Answers

Answer:

B = 11; C = -8

Step-by-step explanation:

When simplified I get 10x^3 + 11x^2 - 8x - 3

Purple paint requires an exact mixture of blue and red. The ratio of blue paint to red paint is 2:5. Marissa needs 35 cups of purple paint to paint a wall. How much of each color would be needed to make a total of 35 cups of perfect purple paint?

Answers

Answer:

achievements

Step-by-step explanation:

14 + 18 divided by 2 * 18
Is the answer 86 or no?

Answers

Answer:

No.

Step-by-step explanation:

Order of Operations using BPEMDAS:

14 + 18/2(18)

14 + 9(18)

14 + 162

176

A chord cuts off a 120 degree arc. If the radius of the circle is 26 inches, find the
chord length

Answers

Answer:

26sqrt(3)

Step-by-step explanation:

You end up with two 30-60-90 triangles.

26/2 = 13

2 * 13 * sqrt(3) = 26sqrt(3)

please help i will give out brainliest

Answers

Answer:

6, 0, 10

b

Step-by-step explanation:

If 12^x = ^11√12, what value of x makes this equation true?

Answers

The root of a number is equivalent of being raised to its inverT

11 cubic root is = 1/11

X = 1/11

how to do this question plz ​

Answers

Answer:

adult = £7 and child = £2

Step-by-step explanation:

let a represent adult ticket and c child ticket, then

2a + 3c = 20 → (1)

a + 4c = 15 → (2)

Multiply (2) by - 2 and add to (1) to eliminate a

- 2a - 8c = - 30 → (3)

Add (1) and (3) term by term

- 5c = - 10 ( divide both sides by - 5 )

c = 2

Substitute c = 2 into either of the 2 equations and solve for a

Substituting into (1)

2a + 3(2) = 20

2a + 6 = 20 ( subtract 6 from both sides )

2a = 14 ( divide both sides by 2 )

a = 7

Cost of adult ticket is £7 and child ticket is £2

find the y-intercept of the function: f(×)=(×+10)/(×-5)​

Answers

Answer:

(-10,0)

Step-by-step explanation:

Hello

this is (-10,0) point

because f(-10)=0

hope this helps

the y intercept is (0,-2) and the x intercept is (-10,0)

The price (p), in cents, of a sweet is directly proportional to the mass (m) of the
sweet.
When the sweet cost 55 cents, the mass is 220 g. Find
(a) the equation connecting p and m.
(b) the mass, in grams, of a sweet which cost 540 cents,
(c) the cost of a sweet in cents, with a mass of 115 g

Answers

The equation for constant proportionality is:

a = k • b where k is the constant

Since we are given the letter variables, replace a and b.

p = k • m

Part (a)

We know p = 55 cents when m = 220g, insert those values in equation:

55 = k • 220

55/220 = k

k = 1/4

Therefore, equation connecting p and m is:

p = 1/4 • m

Part (b)

We know p = 540 and we know k ( constant term )

540 = 1/4 • m

540 x 4 = m

m = 2160g

Part (c)

We know m = 115g, k is constant and therefore remains 1/4

p = 1/4 x 115g = 28.75 cents

~Hoodini, hope this helps.

Solve for x 4x−8=3x−8

Answers

Answer:

x = 0

Step-by-step explanation:

Step 1: Subtract 3x from both sides

x - 8 = 8

Step 2: Add 8 to both sides

x = 0

Answer:

x = 0

Step-by-step explanation:

1. Get rid of the equal terms

4x = 3x

2. Move the variables to the left side

4x - 3x = 0

3. Collect the like times

4x - 3x = 0

x = 0

Hope this helps!

PLEASE HELP - Find the area of a regular octagon with a side length of 5 cm. Round to the nearest tenth. (Please explain in full detail the process, im trying to learn how to do these) thank you!!

Answers

Answer:

120.7

Step-by-step explanation:

The formula for finding the area of a regular octagon is: A = 2(1+[tex]\sqrt{2}[/tex])[tex]a^{2}[/tex].

Using the formula I got 120.7(rounded).

The area of the regular octagon with a side length of 5 cm is approximately 120.7cm².

We have,

To find the area of a regular octagon with a side length of 5 cm, you can use the following formula:

Area = 2 * (1 + √2) * (Side Length)²

Plugging in the values:

Area = 2 * (1 + √2) * (5 cm)² ≈ 120.7 cm²

Therefore,

The area of the regular octagon with a side length of 5 cm is approximately 120.7cm².

Learn more about octagons here:

https://brainly.com/question/30182906

#SPJ4

Find the value of y.

Answers

197 degrees because 365 degrees minus “x”=168 equals 197
y is equal to 197 degrees

What is the solution for x in the given equation? sgrt9x+7+sgrt2x=7

Answers

x=2

Hope that helps!
(Please Mark as Brainliest!)

If f(x)=3x+2, what is f(5)

Answers

Answer:

f(5) = 17

Step-by-step explanation:

f(x)=3x+2

To find f (5) replace every x in f(x) by 5

That's

f(5) = 3(5) + 2

= 15 + 2

= 17

Hope this helps you

The figure is not drawn to scale. PQ and MN are straight lines. Find

Answers

Answer:

a = 138

Step-by-step explanation:

Notice that from the figure, we can see that ∠MOQ and ∠PON are vertical angles, which means that by definition, they're congruent in measure.

∠MOQ = ∠MOR + ∠ROQ = 90 + 48 = 138°

So, this means that ∠PON is also equal to 138, which means a = 138.

Thus, the answer is a = 138.

~ an aesthetics lover

exact value of :7 1/2 - 1 5/8 +(1 3/8 × 2 7/11 )​

Answers

Answer:

261/44

Step-by-step explanation:

hope this helps. :)

Answer:

9 1/2

Step-by-step explanation:

7 1/2 - 1 5/8 + (1 3/8 × 2 7/11)​ =

= 7 4/8 - 1 5/8 + 11/8 * 29/11

= 6 12/8 - 1 5/8 + 29/8

= 5 7/8 + 3 5/8

= 8 12/8

= 8 + 8/8 + 4/8

= 9 1/2

need help asap!!! WILL GIVE THE MOST BRAINIEST TO WHOEVER ANSWERS IT RIGHT PUT THE ANSWER IN A BOX

Answers

Answer:

36PI

113.04

Step-by-step explanation:

4/3*PI*R^3=V

4/3*PI*27=V

36*PI=V

113.04

BRAINLIEST PLS

              -ZYLYNN JADE

Answer:

113.10 (to the nearest hundredth)

Step-by-step explanation:

just google volume of a sphere

Pqrs is a rhombus. Find x, y and z. Justify your finding.

Answers

Answer:

x = 4, y = 2√21, z = 10

Step-by-step explanation:

Since all sides of a rhombus are congruent, z = SR = 10. Since the diagonals of a rhombus bisect each other, x = PO = 4. Using Pythagorean Theorem (look at ΔPSO, we know that PS = 10 and PO = 4), y = 2√21.

If (x+3) varies directly as y and x=3 when y=12, what is the value of x when y=8?

Answers

Answer:

x = 1.

Step-by-step explanation:

y = k(x + 3)

When x = 3 y = 12 so

12 = k(3 + 3)

6k = 12

k = 2.

So the relation is y = 2(x + 3)

When y is 8:

8 = 2(x + 3)

2x = 8 - 2*3 = 2

x = 1.

Factor (x^2-1x)(-4x+4), with work shown

Answers

Answer:

4 ( -x^3 + 2x - x)

Step-by-step explanation:

refer the attachment

Find the slope of the line

Answers

Answer:

3/2

Step-by-step explanation:

Using two points we can find the slope of a line

(0,1) and  (2,4)

The slope is given by

m= (y2-y1)/( x2-x1)

   = (4-1)/(2-0)

   = 3/2

Need help again ?!???

Answers

Answer:

11.47

Step-by-step explanation:

Use SohCahToa. In this problem, you are given the hypotenuse and you are trying to solve for the adjacent side so it will be cosine. (cosine = [tex]\frac{adjacent}{hypotenuse}[/tex])

1. set up the equation

cos55 = [tex]\frac{x}{20}[/tex]

2. Multiply both sides by 20 to solve for x

20 · cos55 = 11.47

Answer:

11.47

Solution,

From the figure,

[tex]cos \: 55 = \frac{PQ}{PR} [/tex]

[tex]cos \: 55 = \frac{PQ}{20} [/tex]

[tex]PQ = 20 \: cos \: 55[/tex]

[tex]PQ= 11.472[/tex]

[tex]PQ= 11 .47[/tex]

Hope this helps...

Good luck on your assignment...

what is teh surface area of a rectangular prism, if its length is 17 meters, its width is 2 meters and its height is 3 meters

Answers

Answer:

102m^2

Step-by-step explanation:

2x3x17=102m^2

can u pls mark brainliest :)

Answer:

182 m²

Step-by-step explanation:

The formula for surface area of a rectangular prism is;

Surface Area = 2(wl) + 2(lh) + 2(hw) where w is the width, l is the length and h is the height.

SA = 2(2 * 17)m² + 2(17 * 3)m² + 2(3 * 2)m²

     = 2(34)m² + 2(51)m² + 2(6)m²

     = 68 m²  + 102 m² + 12 m²

     = 182 m²

Evaluate the Following

Answers

Answer:

see explanation

Step-by-step explanation:

cscΘ = [tex]\frac{hypotenuse}{opposite}[/tex] = [tex]\frac{25}{7}[/tex]

secΘ = [tex]\frac{hypotenuse}{adjacent}[/tex] = [tex]\frac{25}{24}[/tex]

cotΘ = [tex]\frac{adjacent}{opposite}[/tex] = [tex]\frac{24}{7}[/tex]

En una casa de empanadas hornean 1.200 por día. Si las cocinan en fuentes de 75 unidades, colocando siempre la mayor cantidad posible, ¿Cuántas fuentes preparan?

Answers

Answer:

16 unidades preparan simultáneamente 1200 empanadas por día.

Step-by-step explanation:

Si cada fuente tiene una capacidad de 75 empanadas por horneada y que la mayor cantidad posible ocurre cuando el volumen de producción se cocina simultáneamente, entonces el total de fuentes es la cantidad total de producción dividida por la capacidad de empanadas por fuente. Es decir:

[tex]x = \frac{1200\,emp}{75\,\frac{emp}{und} }[/tex]

[tex]x = 16\,unidades[/tex]

16 unidades preparan simultáneamente 1200 empanadas por día.

If both nappes of a right circular cone are intersected by a plane that does not
pass through the vertex of the cone, the resulting curve will be an)

Answers

Answer:

Hyperbola

Step-by-step explanation:

When the two napes of a cone are intersected by a plane, the resulting curve is that of the two branches of a hyperbola. See attached image.

Select the interval where h(x)>0 {where h of x is greater than 0}
Option1. -3.5 Option2. -2 Option3. 2.5

Answers

Answer:

The correct option is;

Option 3. 2.5

Step-by-step explanation:

From the graph of the function y = h(x), where h of x h(x) > 0 and x > 0 we have;

The first interval where y =h(x) > 0 occurs between x= 0 and x = 0.8

The second interval where y =h(x) > 0 occurs between 2.2 and 4 which is a range of 4 - 2.3 = 1.7

The total interval where y =h(x) > 0 occurs is therefore = 0.8 + 1.7 = 2.5

Thus the function y = h(x), is positive over an interval on the x-axis = 2.5.

Answer:

Option 3. 2.5

Step-by-step explanation:

El área de un decágono regular cuya apotema mide 5,08 cm y la longitud de su lado es 3,3 cm.

Answers

Answer:

83.82 cm^2

Step-by-step explanation:

Aquí, queremos calcular el área de un decágono dada su apotema y la longitud de su lado.

Matemáticamente;

Área de decágono = 1/2 * perímetro * apotema

Donde perímetro = 10 * s

donde s es la longitud de los lados

Entonces el área aquí sería; 1/2 * 10 (3.3) * 5.08 = 83.82 cm ^ 2

PLZ HELP ME!!!! I WILL GIVE BRAINLIEST!!!!!! 5 stars and a thanks!!!! 50 POINTS!!! Type out how you would explain the color blue to a blind person. The blind person has been blind ever since he was born. This is a real challenge question.

Answers

Answer:

As color is simply the kind of light reflected by surfaces(if the sun was green, many plants would die), color can be explained fairly simply to a blind person.  Each color represents a separate wavelength, and objects that reflect these wavelengths show up in various colors.  Thus simply state the following: The color blue is displayed by all objects that reflect wavelengths from 380 and 500 nanometers.

Hope it helps <3

p.s. I know this is supposed to be kind of philosophical, but I'm a nerd, so...

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