A funnel used in a manufacturing plant is 4 feet tall. The radius of the base is 6 feet
611
What is the best approximation for the volume of the funnel? (Use 3.14 for)
A
25
B.
75
С
151 n
D
452 n?

Answer:

The quadratic equation is;

y = 3x^2-7x + 5

when x = 4, y = 25

Step-by-step explanation:

Mathematically, the general form of a quadratic equation is;

y = ax^2 + bx + c

From the first point, we have that x = 0

Thus;

5 = a(0)^2 + b(0) +c

c = 5

Now, in a case when x is 2

3 = a(2)^2 + b(2) + 5

3 = 4a + 2b + 5

4a + 2b = -2 ••••••(i)

when x = 6

71 = a(6)^2 + b(6) + 5

66 = 36a + 6b ••••••(ii)

From equation i,

2b = -2-4a ••••(iii)

we can rewrite equation ii as

66 = 36a + 3(2b)

Substitute iii into ii

66 = 36a + 3(-2-4a)

66 = 36a - 6 - 12a

66 + 6 = 36a -12a

24a = 72

a = 72/24

a = 3

Recall;

2b = -2-4a

2b = -2-4(3)

2b = -2-12

2b = -14

b = -14/2

b = -7

So the quadratic equation would be;

y = 3x^2 -7x + 5

Now let us test;

when x = 10, y = 235

That would be:

y = 3(10)^2 -7(10) + 5

y = 300 - 70 + 5

y = 235

This shows that the derived quadratic equation is correct

Now, when x = 4; we have it that;

y = 3(4)^2 -7(4) + 5

y = 48 -28 + 5

y = 20 + 5 = 25

Answer:

176.25in^2

Step-by-step explanation:

You can tell that the two triangles on the left, and the two triangles on the right make a rectangle if you flip one of them. Because of this, you can multiply the base and height to get the area of both.

7.5*16=120 (left side)

7.5*7.5=56.25 (right side)

Now we add them to get the full area:

120+56.25=176.25in^2

Answer:

I got great news for you! I have a wonderful grade in math...

Anyway the answer is 6,318

Step-by-step explanation:

Ok so 18x13 is 234. 234x21 is 4,914. Now we have the volume of the box (4,914).

as we know 18x13 is 234. So if we multiply 234x12 we get 2,808. So now all we have to do is divide 2,808 by 2. That gives us 1,404.

1,404+4,914=6,318

So now WALLA we have our answer.

The correct answer is 84%

The phone battery lasts at least 4 hours and 45 minutes is 84%.

A normal distribution is a probability distribution that is perfectly symmetrical around its mean (center), showing that data near the mean are more frequent in occurrence than data far from the mean. In graph form, normal distribution will appear as a bell curve.

For the given situation,

The normally distribution has a mean of 5 hours and a standard deviation of 15 minutes.

50% of the normal distribution lies to the right of the mean. So, the battery will last longer than 5 hours.

The interval from 4 hours and 45 minutes and 5 hours represents one standard deviation to the left of the mean.

So, about 34% of time, the battery will last between 4 hours and 45 minutes and 5 hours.

Thus, the probability that the battery lasts at least 4 hours and 45 minutes,

⇒ [tex]50+34[/tex]

⇒ [tex]84[/tex]

Hence we can conclude that the phone battery lasts at least 4 hours and 45 minutes is 84%.

Learn more about the normal distribution here

https://brainly.com/question/12707049

#SPJ2

Answer:

Ha recorrido 8 km.

Step-by-step explanation:

Primero debes multiplicar el diámetro de la rueda por el número de vueltas que ha dado para encontrar cuánto ha recorrido:

80cm*10.000=80.000 cm

Ahora, debes convertir los 800.000 cm a km usando una regla de tres considerando que 1 km es igual a 100.000 cm:

1 km    →    100.000 cm

 x       ←    800.000 cm

x=(800.000*1)/100.000

x=8 km

De acuerdo a esto, la respuesta es que ha recorrido 8 km.

Answer:

yes

no

yes

no

Step-by-step explanation:

pls mark brainliest

Answer:

55

Step-by-step explanation:

Put the one shape and split it into two other shapes. A square and a triangle.

find the areas of both of the shapes and add them together.

5×5=25

5×12=60/2 = 30

25+30=55

Answer:

55 units²

Step-by-step explanation:

The area of this shape would be the area of a square with sides 5 and a triangle with a base of 5 and a height of 12

To find the area of this shape, add the area's of the two shapes

This would be written as:

[tex]5^{2} +\frac{5*12}{2} \\ =25+(5*6)\\ =25+30\\= 55[/tex]

Answer:

Hexagon

Step-by-step explanation:

It has more than 3 sides because it is more sides than a triangle and less than 5 since it has to be fewer sides than a pentagon. A hexagon has 6 sides meaning it has more sides than the pentagon.

Answer:

It should be hexagon

Step-by-step explanation:

Hex equals 6 and quad equals 4, so it would not be quadrilateral or square or recanatgle. So hexagon is your answer.

Answer:

A, C, D

Step-by-step explanation:

One rule of thumb is just add up two sides and if its greater than the third value that side works. (make sure to test it for all of the sides though)

Answer:

67....................

Answer:

70 - 80 foot per second

Step-by-step explanation:

Multiply the speed value by 1,467

Step-by-step explanation:

y-intercept: first one is -6

slope:

(-6,0) (0,-3)

-3-0/ 0- -6 = -3/6 = -1/2

3. TBD

4. slope is 3/6 = 1/2

y - 3 = 1/2(x-2)

y = 1/2x +2

5. -4/2 = 2 slope

y-2 = 2(x-3)

y = 2x -4

Answer:

the answer on 1. is correct

number 2. is -3 not 3

Answer:

A (I think because i cant tell what the answers are saying)

Step-by-step explanation:

1.5/5= 0.3

3/10=0.3

4.5/15=0.3

6/20=0.3

Next time take a screenshot because i can not really see what the answers are supposed to be. But A is the only one that should be correct

Answer: D, 36in.

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

7(2x+8)=4(28)

14x+56=112

14x=112-56

14x=56

x=4

Answer:

3/1

Step-by-step explanation:

is the slop of this graph

Answer:

1. A, E

2. C

Step-by-step explanation:

1. tan theta = 1/cot theta

  sec theta = 1/ cos theta

2. Sec^2x-1 = tan^2x

   sinx sec x = tanx

   = tan^2x/tanx = tan x

The identities are (a) tan(θ) = 1/cot(θ), (c) 1 -  sin^2(θ) = cos^2(θ) and (e) sec(θ) = 1/cos(θ) and the simplified form of [tex]\frac{\sec^2(x) - 1}{\sin(x)\sec(x)}[/tex] is tan(x)

As a general rule, we have:

tan(θ) = 1/cot(θ)

sec(θ) = 1/cos(θ)

cosec(θ) = 1/sin(θ)

sin^2(θ) + cos^2(θ) = 1

The above means that:

(a) tan(θ) = 1/cot(θ), (c) 1 -  sin^2(θ) = cos^2(θ) and (e) sec(θ) = 1/cos(θ) are identities

We have:

[tex]\frac{\sec^2(x) - 1}{\sin(x)\sec(x)}[/tex]

Express the numerator as tan^2(x)

[tex]\frac{\tan^2(x)}{\sin(x)\sec(x)}[/tex]

The product sin(x)sec(x)  = tan(x).

So, we have:

[tex]\frac{\tan^2(x)}{\tan(x)}[/tex]

Divide

tan(x)

Hence, the simplified form of [tex]\frac{\sec^2(x) - 1}{\sin(x)\sec(x)}[/tex] is tan(x)

Read more about trigonometry ratios at:

https://brainly.com/question/11967894

Answer:

Distributive

Step-by-step explanation:

Answer:

This should be distributive

Answer:

3, text time get a better pic

Step-by-step explanation:

Answer:

C) 15% off with a $15 rebate

Step-by-step explanation:

So a rebate is like a refund which means:

A) 120(.8) = 96         You use .8 because you’re paying 80%

B) 120-30= 90

C) 120(.85) = 102     you use .85 because you’re paying 85%, now

 102-15= 87         Subtract 15 since you get a $15 rebate

D) 120(.9)=108   You use .9 since you are paying 90%

    108-20= 88    Subtract 20 since you get a $20 rebate

since C ended up with the lowest price, the answer is C

Answer:

P(blue)=1/2 50 marbles are blue

Answer:

78 ft squared

Step-by-step explanation:

To find the area of trapezoid, we could use this formula:

.5*height*(sum of bases)

We know both the base lengths. They are 10 and 16 ft.

The height can be found by looking at that right triangle whose base is (16-10) ft or 6 ft.

So we want to find the height which is opposite the 45 degree angle and we have the adjacent side's measurement of 6ft.

This has the tangent ratio written all over it since tangent of an angle is opposite side's measurement over adjacent side's measurement.

tan(45)=height/6

1=height/6

6=height

6ft=height

The answer is:

.5*height*(sum of bases)

.5*6 ft*(10 ft+16 ft)

3 ft(26 ft)

78 ft squared

Note: That one right triangle is an isosceles right triangle so we didn't need trigonometry.

Answer:

x = 10.

Step-by-step explanation:

From the definition of the mean:

(4 + 3 + 3 + x) / 4 = 5

4 + 3 + 3 + x = 20

x + 10 = 20

x = 10.

Answer:

68 games

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Games won = 85%

Game lost = 12

Here, 100% - 85% = 12

15% = 12

or 1% = 0.8

So, total games played (100%) = 80 games

Now, number of games won = Total games - Games lost

= 80 - 12

= 68 games

Hence, Kelly's team wins 68 games in the season.

Answer:

A

Step-by-step explanation:

I feel strongly that it is A.

Answer:

s = 31t

Step-by-step explanation:

s = 31(1) =31 students

s = 31(3) = 93 students

For every teacher, there are 31 students

Answer:

16.4

Step-by-step explanation:

If it is asking for the tenth it will be the 1st one after the point and you round it to the next one.