Your company takes orders over the phone. The company’s average time is 4.6 minutes.The graph below shows 4 calls and the difference between the call time and the company’s average call time.

Answer:

5/9

Step-by-step explanation:

Answer:

5/9

Step-by-step explanation:

Now we need to make our denominators match.

9 goes into 3 evenly, so we only need to multiply one term to get a common denominator.

Multiply 1 by 3, and get 3, then we multiply 3 by 3 and get 9.

Since our denominators match, we can add the numerators.

2 + 3 = 5

That gives us the sum, which is

5/9

Now, do we need to simplify this fraction?

First, we attempt to divide it by 2...

Nope! So now we try the next greatest prime number, 3...

Nope! So now we try the next greatest prime number, 5...

Nope! So now we try the next greatest prime number, 7...

No good. 7 is larger than 5. So we're done reducing.

There you have it! Here's the final answer to 2/9 + 1/3

The height of the observer can be taken negligible in case of big measurements. The height of the kite from the ground is 40 meters approximately.

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

Referring to the figure attached below, we have the vertical distance of the kite from the ground as the length of the side BC.

(assume that the height of the observer flying kite is negligible and that kite's string is straight, and some more basic assumptions)

Using the Pythagoras theorem as the triangle ABC is a right angled triangle as vertical distance means line perpendicular to the ground, we get the length of the line segment BC as:

[tex]|AC|^2 = |AB|^2 + |BC|^2\\\\|BC|^2 = |AC|^2 - |AB|^2\\\\|BC| = \sqrt{|AC|^2 - |AB|^2}\\[/tex]

(positive root since length is a non-negative quantity).

We have |AC| = length of the kite's string = 50 meters

|AB|  = distance of the observer from the point directly above which the kite is flying = 30 meters

Thus, we get the height of the kite from the ground as:

[tex]|BC| = \sqrt{|AC|^2 - |AB|^2}\\|BC| = \sqrt{50^2 - 30^2} = \sqrt{1600} = 40\: \rm \text{(in meters)}[/tex]

Thus,  the height of the kite from the ground is 40 meters approximately.

Learn more about Pythagoras theorem here:

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Answer:

20.8

Step-by-step explanation:

Using Pythagorean theorem, you can find 1/2 of x.

12²= 6² +1/2x²

From this we find 1/2 x is ≈ 10.4

Then x itself would be 2 times that, resulting in 20.8, that is your answer

Answer: All four runners ran .96 seconds

Step-by-step explanation: The total time of the four runners, divided by the amount of runners.

3.86/4= .965

Answer:

$77.40

Step-by-step explanation:

Answer:

B)No, the estimate should be higher

Answer:

no the estimate should be lower

4 divided by 3/5

pretend that 4 has a denominator which is 1

4/1 divided by 3/5

when dividing always flip over the second fraction

4/1*5/3

multiply the numerators together

4*5=20

multiply the denominators together

1*3=3

answer:

20/3 or 6 2/3

The digits which a composite number greater than 10 might have include; 1, 2 ,3 and 4.

According to the question;

The number 10 has two place values namely;

In essence, any composite number greater than 10 can have either of 1, 2, 3 and 4 in the ones place.

Read more:

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Answer:

x<-8

Step-by-step explanation:

four more than twice a number = 4+2X

is less than negative twelve = <-12

4+2X<-12

(4-4)+2X< -12-4

2x<-16

X<-8

To find the numbers that make the statement true, we need to solve the equation 2x + 4 < -12 for x. Any number less than -8 will make the statement true.

To find the numbers that make the statement true, we need to translate the given sentence into a mathematical equation. Let's denote the unknown number as 'x'. The sentence 'Four more than twice a number is less than negative twelve' can be written as 2x + 4 < -12. Now, we can solve this equation for x:

Subtracting 4 from both sides, we get 2x < -16.

Dividing both sides by 2, we have x < -8.

Therefore, any number less than -8 will make the statement true.

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Answer:

A

Step-by-step explanation:

Because 5/9 is an example of a proper fraction. In order to be an improper fraction, the numerator needs to be larger than the denominator. 8/2 can be simplified as 4 and 4 is a whole number. 11/3=3 2/3 is an example of improper fraction. 6/7, again, this is another example of a proper fraction.

Answer:4/5

Step-by-step explanation:

2/15 + 10/15=12/15=4/5

easy right?

Answer:

3b

Step-by-step explanation:

Since it takes b minutes to fill one bathtub, then it will take 3 times b minutes to fill all three bathtubs.

Answer:

3 times b

Step-by-step explanation:

150 cm ......... 100 %

165 cm ...............x %

x = 165×100/150 = 16500/150 = 110 %

Answer:

10%

Step-by-step explanation:

Subtract 150 from 165, which gives 15.

Then, do 15/150 = 0.1

Convert decimal to percent by moving the decimal point two spaces back. 0.1 becomes 10%.

Answer:

-1/2

Step-by-step explanation:

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

m=(3-9)/(7-(-5))

m=-6/(7+5)

m=-6/12

m=-1/2

Correct option:

c.f(x-3)+1

From the options we have either vertical or horizontal shift. So, for this type of transformation we have:

For any real positive number [tex]c[/tex], vertical and horizontal shift in the graph [tex]y=f(x)[/tex] are expressed as follows:

[tex]\bullet \ Vertical \ shift \ c \ units \ \mathbf{upward}: \\ h(x)=f(x)+c \\ \\ \bullet \ Vertical \ shift \ c \ units \ \mathbf{downward}: \\ h(x)=f(x)-c \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ right \ \mathbf{right}: \\ h(x)=f(x-c) \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ left \ \mathbf{left}: \\ h(x)=f(x+c)[/tex]

From these rules, we know that:

[tex]f(x-3)+1[/tex]

would move the graph of the function to the right of the coordinate plane because of [tex]f(x-3)[/tex]. In other words, the transformation is as follows:

[tex]f(x-3)+1[/tex] shifts the graph of [tex]f(x)[/tex] three units to the right and one unit up

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Answer:

The numbers are 40 and 49

Step-by-step explanation:

Smaller number = x

Larger number = y

Let's write our system of equations:

x + y = 89

3x = y + 71

***************************

x = 89 - y

Substituting x in the 2nd equation and solving for y:

3 (89 - y) = y + 71

267 - 3y = y + 71

-3y - y = 71 - 267 (Like terms)

-4y = - 196

y = -196/-4

y = 49

Solving for x in the 1st equation:

x + y = 89

x + 49 = 89

x = 89 - 49

x = 40

The numbers are 40 and 49

Answer:

2.4 cm.

Step-by-step explanation:

See the given diagram of two similar triangles one with actual dimensions and the other drawn on paper with a certain scale.

The ratio of corresponding sides of two similar triangles is always the same.

Now, 1.5 cm on the drawing is equivalent to 2.5 m i.e. 250 cm. in actual dimension.

So, 4 m i.e. 400 cm in actual dimension will be equivalent to [tex]\frac{1.5}{250} \times 400 = 2.4[/tex] cm. in the drawing. (Answer)

Answer:

77.  [tex]\cot^{6} x = \cot^{4} x \csc^{2}x - \cot^{4} x[/tex]Proved

78.  [tex]\sec^{4}x \tan^{2} x = \sec^{2}x [\tan^{2}x + \tan^{4}x ][/tex] Proved

79. [tex]\cos^{3} x\sin^{2} x = [\sin^{2}x - \sin^{4}x] \cos x[/tex] Proved.

80. [tex]\sin^{4}x - \cos^{4}x = 1 - 2\cos^{2}x + 2 \cos^{4} x[/tex] Proved.

Step-by-step explanation:

77. Left hand side

= [tex]\cot^{6} x[/tex]

= [tex]\cot^{4} x \times \cot^{2} x[/tex]

= [tex]\cot^{4}x [\csc^{2}x - 1][/tex]  

{Since we know, [tex]\csc^{2} x - \cot^{2}x = 1[/tex]}

= [tex]\cot^{4} x \csc^{2}x - \cot^{4} x[/tex]  

= Right hand side (Proved)

78. Left hand side

= [tex]\sec^{4}x \tan^{2} x[/tex]

= [tex]\sec^{2} x [1 + \tan^{2}x] \tan^{2} x[/tex]  

{Since [tex]\sec^{2}x - \tan^{2}x = 1[/tex]}

= [tex]\sec^{2}x [\tan^{2}x + \tan^{4}x ][/tex]

= Right hand side (Proved)

79. Left hand side  

= [tex]\cos^{3} x\sin^{2} x[/tex]

= [tex]\cos x[1 - \sin^{2} x] \sin^{2} x[/tex]

{Since [tex]\sin^{2}x + \cos^{2} x = 1[/tex]}

= [tex][\sin^{2}x - \sin^{4}x] \cos x[/tex]

= Right hand side

80. Left hand side  

= [tex]\sin^{4}x - \cos^{4}x[/tex]

= [tex][\sin^{2}x + \cos^{2}x]^{2} - 2\sin^{2} x \cos^{2}x[/tex]

{Since [tex]\sin^{2}x + \cos^{2} x = 1[/tex]}

= [tex]1 - 2\cos^{2} x[1 - \cos^{2}x ][/tex]

= [tex]1 - 2\cos^{2}x + 2 \cos^{4} x[/tex]

= Right hand side. (Proved)

Answer:

There is exactly one output for each input.

The graph of a linear function is a straight line.

A linear function has a constant rate of change.

Step-by-step explanation:

Answer:

A,B,D

Step-by-step explanation:

i took the assignment and quiz on ed2020

Answer:

im pretty sure its c

Step-by-step explanation:

Answer:

linear combination is an expression constructed from a set of terms by multiplying each term by a constant and adding the results (e.g. a linear combination of x and y would be any expression of the form ax + by, where a and b are constants)

Step-by-step explanation:

Answer:25

Step-by-step explanation:

10 plus 9+4+2 will give you 21 and it will have 4 yellow ones left

The total cost of trip for 37 people will be $1194.

Step-by-step explanation:

Given,

Rent of bus = $750

Cost of one ticket = $12

Let,

x be the number of people.

T be the total cost of the trip for people.

According to given statement;

Total cost = Rent of bus + (Cost of one ticket * number of people)

[tex]T=750+12x[/tex]

For 37 people, x=37

[tex]T=750+12(37)\\T=750+444\\T=\$1194[/tex]

The total cost of trip for 37 people will be $1194.

Keywords: linear expression, addition

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Answer:

Differentiation of both the term is [tex]2x+3[/tex]

Step-by-step explanation:

As we have to use first principle of derivatives lets recall the formula.

[tex]f(x)= \lim_{h\to 0}\frac{(x+h)-f(x)}{h}[/tex]

Solving our eqaution.

[tex]y=x^2+3x[/tex]

We will work with [tex]f(x+h)[/tex] then [tex]-f(x)[/tex] separately then put in the above formula.

1.

[tex]f(x+h)=(x+h)^2+3(x+h)[/tex]

[tex](x^2+h^2+2hx+3x+3h)[/tex]

Now [tex]-f(x)[/tex]

[tex]-f(x)=-x^2-3x[/tex]

Plugging the values of both.

[tex]f(x)= \lim_{h\to 0}\frac{(x+h)-f(x)}{h}[/tex]

[tex]f(x)= \lim_{h\to 0}\frac{(x^2+h^2+2hx+3h+3x)- x^2-3x}{h}=\frac{h^2+2hx+3h}{h}[/tex]

Taking [tex]h[/tex] as common.

[tex]f(x)= \lim_{h\to 0}\frac{h^2+2hx+3h}{h}=h+2x+3[/tex]

Putting [tex]h=0[/tex]

Then

[tex]f(x)=2x+3[/tex] is the final derivative.

This will be same for [tex]y= x^2 + 3x + 8[/tex] as we have to put [tex]8[/tex] only.

2.

[tex]f(x+h)=(x+h)^2+3(x+h)+8[/tex]

[tex](x^2+h^2+2hx+3x+3h)[/tex]

Then [tex]-f(x)=-x^2-3x-8[/tex]

Plugging the values of both.

[tex]f(x)= \lim_{h\to 0}\frac{(x+h)-f(x)}{h}[/tex]

[tex]f(x)= \lim_{h\to 0}\frac{(x^2+h^2+2hx+3h+3x+8)- x^2-3x-8}{h}=\frac{h^2+2hx+3h}{h}[/tex]

Taking [tex]h[/tex] as common.

[tex]f(x)= \lim_{h\to 0}\frac{h^2+2hx+3h}{h}=h+2x+3[/tex]

Putting [tex]h=0[/tex]

Then

[tex]f(x)=2x+3[/tex] is the final derivative.

So both the derivatives are same.

Answer: x=1.1

Step-by-step explanation:

-2.2 - (-4x - 2) = - (-x - 3.1)

-2.2 + 4x + 2 = x + 3.1

-0.2 + 4x = x + 3.1

+0.2              + 0.2

4x = x + 3.3

-x     -x

3x = 3.3

/3     /3

x = 1.1

hope this helps!

Answer:

3/8

Step-by-step explanation:

You'd first want to count all the triangles (possibilities) which is 8 total numbers

Then find the even numbers. There is 2, 2, and 4 which is a total of 3 even numbers

The fraction would be 3/8 and it can't be simplified any further

Answer:

3/8

Step-by-step explanation:

This is because, out of 8 results, only 3 of them are even numbers. That is the biggest chance you have at getting an even number.

Answer:

There is 1 pear for every green apple! So in this ratio there would be 1 pear!

Step-by-step explanation:

-viridiancat4, an 8th grader! :)

Answer:24.5

Step-by-step explanation:

Formula:

H=KV²

8=K×20²(400)

=8/400

=0.02

H=0.02×35²

=24.5

Answer:

The maximum height reached by the golf ball when v = 35 is 24.5 meters.

Step-by-step explanation:

Given : A golf ball, thrown upwards, rises at a speed of v metres per second. The ball reaches a maximum height of h metres.  h is proportional to the square of v.  When v = 20, h = 8.

To find : Work out the maximum height reached by the golf ball when v = 35 ?

Solution :

h is proportional to the square of v i.e. [tex]h\propto v^2[/tex]

[tex]h=kv^2[/tex]

Where, k is the constant of proportionality

When v = 20, h = 8,

[tex]8=k(20)^2[/tex]

[tex]8=400k[/tex]

[tex]k=\frac{8}{400}[/tex]

[tex]k=0.02[/tex]

The equation became [tex]h=0.02v^2[/tex].

Now, when v = 35 the value of h is

[tex]h=0.02(35)^2[/tex]

[tex]h=0.02\times 1225[/tex]

[tex]h=24.5[/tex]

Therefore, the maximum height reached by the golf ball when v = 35 is 24.5 meters.

Answer:  A)

Step-by-step explanation: This is correct because a telescope is a piece of technology use to look further into space