Santa rides his bike over a piece of gum and continues riding at a constant rate. At time = 1.25 seconds, the gum is at its maximum height off the ground. and 1 second later, it is on the ground again.

a. If the diameter of the wheel is 68 cm, write an equation that models the height of the gum in centimeters above the ground at any time, t, in seconds

b. What is the height of the gum when Santa reaches his workshop at the end of the block at 15.6 seconds?

c. When is the first and second time the gum reaches a height of 12 cm?

Answer:

1 mile

Step-by-step explanation:

if she can travel half a mile in 5 minutes, she can travel another half of a mile in 10 minutes. this adds up to 1 mile.

Answer:

C and F

Step-by-step explanation:

Answer:

A, F

Step-by-step explanation:

ratio of sides in a 30-60-90 triangle is  1 : [tex]\sqrt{3}[/tex] : 2

Answer:

120

Step-by-step explanation:

volume of triangular prism = area of base times length

the base is a triangle and the area of a triangle can be calculated by using this formula

[tex]a=\frac{bh}{2}[/tex]

where b = base length and h = height

Dimensions of base

base length = 8cm and height = 3cm

Thus,

[tex]A=\frac{3*8}{2} \\3*8=24\\\frac{24}{2} =12\\[/tex]

The length of the triangular prism is 10cm

Thus volume = 10 * 12 = 120

Answer:

See below.

Step-by-step explanation:

The train leaves station A at 13:44 and arrives at station B at 15:12.

Which means the train took 1 hour and 28 minutes to arrive at station B.

The train travels at 300 km/h. It took at least one hour, so the answer > 300 km.

Now, the remaining 28 minutes. We divide them by 60, as there’s 60 minutes in one hour and multiply by 300, as that’s how fast the train travels per hour.

28/60*300 = 140.

300 + 140 = 440.

The distance between the stations is 440 km.

Answer:

Area = 77ft²

Perimeter = 44 9/20 feets

Step-by-step explanation:

Area of a triangle = 1/2 * base * height

Base = 19 1/4 feets = 77/4 feets

Height = 8 feets

Area = 1/2 * 77/4 * 8

Area = (77 * 8) / 8

Area = 77 feet²

Perimeter of a triangle :

Sum of the sides

Perimeter = a + b + c

Perimeter = 19 1/4 + 10 + 15 1/5

Perimeter = 44 + (1/4 + 1/5)

Perimeter = 44 9/20

Answer:

Is this the full question?

The sum of vector is (-2.4148, -4.0499), magnitude is 4.7 and  [tex]\theta[/tex] = 239 degree.

A quantity or phenomena with independent qualities for both magnitude and direction is called a vector. The term can also refer to a quantity's mathematical or geometrical representation. Velocity, momentum, force, electromagnetic fields, and weight are a few examples of vectors in nature.

Given:

Vector u = 3( cos 255, sin 255)

v = 2 (sin 215, cos 215)

So, u+ v

= (3 cos 255 + 2 cos 215, 3 sin 255 + 2 sin 215)

= (-2.4148, -4.0499)

and, Magnitude

| u +v | = √(-2.4148)² + (-4.0499)²

           = 4.7

Then, tan [tex]\theta[/tex] = 4.0499/ 2.4148

So,  [tex]\theta[/tex] = 239 degree

Learn more about Vector here:

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Answer:

(1,5) (2,6) (3,7) (4,8)

Answer:

b

Step-by-step explanation:

Step-by-step explanation:

school c so B would be correct

Answer:

x>-4    

:)

Step-by-step explanation:

Answer:

C. x > -4

Step-by-step explanation:

2x - 8 < 5x + 4

=> -3x < 12

=> x > -4 (have to change the inequality sign because it's divided by a negative number, -3)

Answer:

[tex]y = 8,50x[/tex]

Step-by-step explanation:

Given

Let

[tex]y\to[/tex]earnings

[tex]x \to[/tex] hours

Solving (a): The proportion

x and y can be expressed as:

[tex]y\ \alpha\ x[/tex] --- direct variation

Write as an equation

[tex]y = kx[/tex]

Where

[tex]k = 8.50[/tex] --- the hourly rate

So, we have:

[tex]y = 8,50x[/tex]

Answer:

m

Step-by-step explanation:

b

Answer:

Step-by-step explanation:

ask cymath it will help you with any mathmatical problem

Answer:

plz if you knew if you new it plz tell me

Answer:

b

Step-by-step explanation:

< less than

> greater than

= equal to

1,372 is less than 3,496 true

1,372 is greater than 3,496 false

2,583 is less than 4,194 true

3,496 is greater than 1,372 true

Answer:

66 2/3 cubic inches

Step-by-step explanation:

V=1/3Bh    where 'B' is the area of the base and 'h' is height

V = 1/3(20)(10)

V = 200/3 or 66 2/3 cubic inches

Answer:

[tex]\dfrac{6}{10}ab[/tex]

Step-by-step explanation:

Given that,

The first number is [tex]\dfrac{-3a}{7}[/tex]

The second number is [tex]\dfrac{-21b}{15}[/tex]

We need to find the product of the first number and second number. Product means we need to multiply i.e.

[tex]\dfrac{-3a}{7}\times \dfrac{-21b}{15}=0.6ab\\\\=\dfrac{6}{10}ab[/tex]

Hence, the product of the given numbers is equal to [tex]\dfrac{6}{10}ab[/tex].

9514 1404 393

Answer:

  3x = ln(y+4)

Step-by-step explanation:

Taking the natural log of both sides, you have ...

  3x = ln(y +4)

__

The applicable rule of logarithms is ...

  ln(e^a) = a

The "work" is applying this rule. Here, a=3x. The log of a sum cannot be simplified.

Answer:

21 times each person can be chossen for each postion once

Step-by-step explanation:

Answer:

Step-by-step explanation:

So in the example you gave, a ratio of 7:12 means that for every 7 of the first item, there are 12 of the second. The order becomes very important, as changing the ratio to 12:7 would mean that for every 12 of the first item, there are 7 of the second, which is not the same thing at all

7:12

14:24

21:36

28:48

keep smiling always

Answer:

3x-1

Step-by-step explanation:

3x^2+2x-5=3x-1 x1-25

Answer:

Step-by-step explanation:

Direction: Opens Up

Vertex:  

(

3

,

−

4

)

Focus:  

(

3

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15

4

)

Axis of Symmetry:  

x

=

3

Directrix:  

y

=

−

17

4

Select a few  

x

values, and plug them into the equation to find the corresponding  

y

values. The  

x

values should be selected around the vertex.

Tap for more steps...

x

y

1

0

2

−

3

3

−

4

4

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3

5

0

Graph the parabola using its properties and the selected points.

Direction: Opens Up

Vertex:  

(

3

,

−

4

)

Focus:  

(

3

,

−

15

4

)

Axis of Symmetry:  

x

=

3

Directrix:  

y

=

−

17

4

x

y

1

0

2

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0

If he drives the car 218.4 miles in 2.4 hours. Then the speed of the car will be 91 miles per hour.

If the object is going linearly, and at a constant speed, then the speed of that object is given by the distance it traveled to the time it took to travel that distance.

If the object traveled D distance in T units of time, then that object's speed will be given as

Speed = Distance traveled/Time taken

        S = D/T

Phillip is competing in a race car competition.

He drives 218.4 miles in 2.4 hours.

Then the speed of the car will be

S = 218.4/2.4

S = 91 miles per hour

More about the speed link is given below.

https://brainly.com/question/7359669

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I'll interpret the given statement as

[tex]\neg \bigg( \neg s \lor \big( \neg r \land s \big) \bigg)[/tex]

where [tex]\neg x[/tex] means "not x", [tex]\lor[/tex] means "or", and [tex]\land[/tex] means "and".

If r is false, then [tex]\neg r[/tex] is true.

s is given to be false, so [tex]\neg r\land s[/tex] (basically "true and false") is false.

If s is false, then [tex]\neg s[/tex] is true.

Then [tex]\neg s \lor \big(\neg r \land s\big)[/tex] (i.e. "true or false") is true.

Take the negation of that and you end up with a false statement.

If you intended "~r < s" to mean something like "not r is implied by s", so the original statement is actually

[tex]\neg\bigg(\neg s \lor \big(\neg r \impliedby s \big)\bigg)[/tex]

then [tex]s\implies \neg r[/tex] is true because s is false. Then [tex]\neg s \lor \big(\neg r \impliedby s\big)[/tex] is still true, so the statement still ends up being false.

Answer:

m<QDC = 77

Step-by-step explanation:

First we need to generate an equation in order to find the value of x.

Thus:

m<QDC = ½(Arc QBC) => Inscribed Angles Theorem)

5x + 17 = ½(4x - 6 + 9x + 4)

5x + 17 = ½(13x - 2)

Multiply both sides by 2

2(5x + 17) = 13x - 2

10x + 34 = 13x - 2

Collect like terms

10x - 13x = -34 - 2

-3x = -36

Divide both sides by -3

-3x/-3 = -36/-3

x = 12

Find m<QDC:

m<QDC = 5x + 17

Plug in the value of x

m<QDC = 5(12) + 17 = 70 + 17

m<QDC = 77

Answer:

they would sell 496 bottles

Step-by-step explanation:

if %1 of 800 is 8, then pultiply that by 62, since 62% said they liked tide

Answer:

x=28

Step-by-step explanation:

1/2x - 3 = 11

Add 3 on both sides

1/2x = 14

Multiply 2 on both sides x=28

Answer:

For example, if f (x) and g (x) are inverses of each other, then we can ... Consider another case where a function f is given by f = {(7, 3), (8, –5), (–2, 11), (–6, 4)}. This function is one-to-one because none of its y - values appear more than once.

Step-by-step explanation:

Answer:

Half of 12 is 6(new radius)

6^2 = 36

36 x 3.14 = 113.04

113.04 x 8 = 904.32

904.32 divided by 3 ( x 1/3) = 301.44  m is your answer.