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Answer:

mean=2.6

Step-by-step explanation:

1+3+4+4+1=13

13 divided by 5=2.6

Answer:mean= 2.6=13/5

Step-by-step explanation:

mean=sum of all values/number of values

so,

mean=(1+3+4+4+1)/5

mean=13/5=2.6

9514 1404 393

Answer:

  y = x + 4

Step-by-step explanation:

For x > 5, the expressions in each absolute value argument are all positive, so we can simply remove the bars and sum the terms.

  y = x - 3 + x + 2 - x + 5

  y = x +4

Answer:

x=66 y=74

Step-by-step explanation:

5.5x + 10y = 1100

x + y = 140

---

y = 140 - x

---

5.5x + 10(140-x) = 1100

5.5x + 1400 - 10x = 1100

-4.5x = -300

x = 66.67

---

x = 66

y = 74

= $1103

Answer:

484feet

Step-by-step explanation:

If the height as a function of time could be modeled by the function h(t)=−16t^2 +16t+480, where t is the time in seconds and h is the height in feet.

The maximum height of Jason occurs when dh/dt = 0 (velocity is zero)

dh/dt = -32t + 16

0 = -32t + 16

32t = 16

t = 16/32

t = 1/2

t = 0.5secs

Get the maximum height

Recall that h(t)=−16t^2 +16t+480

Substitute t = 0.5

h(0.5)=−16(0.5)^2 +16(0.5)+480

h(0.5) = -4 + 8 + 480

h(0.5) = 4 + 480

h(0.5) = 484

Hence the maximum height reached by Jason is 484feet

The maximum height that Jason reaches is h =  484 feet and it will be reached at t = 0.5 sec.

Let the function be denoted by [tex]y = f(x)[/tex]

If it is twice differentiable, then, firstly, we differentiate it with respect to x and equate with 0 to find the critical values.

Let the obtained critical values be [tex]x_1, x_2, ... x_n[/tex]

The second derivative of that function is then evaluated on those critical values.

The [tex]i^{th}[/tex] critical value has got the maximum if [tex]f''(x_i) < 0[/tex]

That means, if at  [tex]x = x_i[/tex] , we get

[tex]f'(x-i) = 0\\and\\f''(x_i) < 0[/tex]

Then that point is where function will have maximum.
If [tex]f''(x_i) > 0[/tex], then the point where the function will have minimum

If value of second rate at point [tex]x_i[/tex] is 0, then we go for third rate of function and check the same facts so on for upper rate(if they exist).

For the given case, we're given the height function as:

[tex]h(t) = - 16t^2 + 16t + 480[/tex]

The function is infinitely differentiable as its polynomial(by a theorem).

Its first and second rate with respect to 't', we get;

[tex]h(t) = - 16t^2 + 16t + 480\\h'(t) = -32t + 16\\h''(t) = -32 < 0[/tex]

Thus, all critical points will be maximum points.

The critical points are evaluated by [tex]h'(t) = 0[/tex]

They are calculated as:

[tex]h'(t) = 0\\-32t + 16 = 0\\t = 0.5 \: \rm sec[/tex]

The height at t = 0.5 s is evaluated as:

[tex]h(0.5) = - 16(0.5)^2 + 16(0.5) + 480 = 484 \: \rm feet[/tex]

Thus, at time 0.5, the height function will be at its maximum value(484 feet). That means, the height of Jason will be maximum when time will be 0.5 seconds from initial time.

Learn more about maximum and minimum values here:

https://brainly.com/question/13333267

Step-by-step explanation:

The frequency of a radio wave that has a wavelength of 3000m is 100 kHz

(a) Wavelength = 500 m

We know that,

[tex]f=\dfrac{c}{\lambda}\\\\f=\dfrac{3\times 10^8}{500}\\\\f=600\ kHz[/tex]

(b) Frequency, f = 800 kHz

[tex]\lambda=\dfrac{c}{f}\\\\\lambda=\dfrac{3\times 10^8}{800\times 10^3}\\\\\lambda=375\ m[/tex]

Hence, this is the required solution.

Answer:

B

Step-by-step explanation:

The volume of a rectangular prism is 80 cm³.

The dimensions of a rectangular prism are length=8 cm, breadth=5 cm and height=2 cm.

The formula to find the volume of a rectangular prism is l×b×h.

Now, the volume of a rectangular prism=8×5×2=80 cm³.

Therefore, the volume of a rectangular prism is 80 cm³.

To learn more about a rectangular prism visit:

https://brainly.com/question/21308574.

#SPJ2

They bought 3 tickets! Hope this helps :) ✨

Answer:

NO

Step-by-step explanation:

A statistical question is a question that can be answered by collecting data that vary. For example, “How old am I?” is not a statistical question, but “How old are the students in my school?” is a statistical question.

Answer:

y=7, -3, 3, -9, 1 (in the empty boxes from left to right)

Step-by-step explanation:

Since y=x-2, all you have to do is take an x value from the top box and subtract 2 from that number to find the value of y.

Answer:

2)

Step-by-step explanation:

plug in a random number for x i used 2. So y=2^x+14x-3 which equals 29 and 1)=253 2)=29 3)=207 4)=35

Answer:

Step-by-step explanation:

Cost per day = 40

Cleaning fee = 60

Budget = 275

Total cost for one day = 100

The family can stay two whole days

Answer:

There would be 15 tablespoons of lime juice and 12 tablespoons of soy sauce.

Answer:

0 to 2 minutes - Accelerating

3 to 4 minutes - Constant

6 to 8 minutes - Decelerating

9 to 11 minutes Accelerating

hope i have helped u

Step-by-step explanation:

bghvfdddddcvbnmjkliuytrftfgvvvvv  nbv nbv hjgfdc

Step-by-step explanation:

hgfdcvbnmkloiuytredfxghgcfxchgjnjngjggjjjjjttttttttttttttttrrrrrtkkkkkkkkkkddddddddddddddddddddddddddddddddddujhhhhhhhhgfnmmmmmmmmmhhurtghbfnvbmgjkuttdggggggggggggggggggggggggggggggggggggggggggggggggggggf

2x^2 + 14x + 12 = 0

x^2 + 7x + 6 = 0

( x + 1 )( x + 6 ) = 0 ==》 x = - 1 Or x = - 6

Answer: 4/16 or 1/4 (simplified)

Answer:

1/4

Step-by-step explanation:

put # of green over total # of marbles in bag

4/16 and simplify by dividing both by 4

1/4

Answer:

the answer is d

Answer:

x = 17

I think this is the value for x

Answer:

D. 1, 1, 2

Step-by-step explanation:

A triangles sides have to have the two smallest side's sum add up to be greater than the largest number. In D, 1+1 = 2, and 2 is the largest number, since 2 is not greater than 2, It cannot be a triangle.

Answer:

coefficient is 5y

constants are 7,2,1

no like terms

Answer:

14 inches

Step-by-step explanation:

She measures along the outer edge of the crust from one piece and finds it to be 5.5 inches.

We need to find the diameter of the pizza. A pizza is divided into 8 equal parts.

The circumference of one part = [tex]\dfrac{2\pi r}{8}=\dfrac{\pi r}{4}[/tex]

So,

[tex]\dfrac{\pi r}{4}=5.5\\\\2r=D=14\ inch[/tex]

So, the diameter of the pizza is 14 inches.

Answer:

x=3/2 or x=6

Step-by-step explanation:

2x2−15x+18=0

Step 1: Factor left side of equation.

2x^2-12x-3x+18=0

taking common factors

2x(x-6)-3(x-6)=0

(2x−3)(x−6)=0

Step 2: Set factors equal to 0.

2x−3=0 or x−6=0

x=3/2 or x=6

Answer: The length is 0

Step-by-step explanation:

Answer: 5/9

Decimal form: 0.555.......

Step-by-step explanation:

Area = length • width

Answer:

If the numbers next to the "x" are "carroted" ( ^ ) then the answer is

-3x^4 + 9x^3 -8x^2 -2x +12

Step-by-step explanation:

Basically, you just add the like terms together.

Answer:

$50

Step-by-step explanation:

Given data

Let the total purchase be x

Hence 30% of x is $15

Let us find the value of x

30/100*x= 15

0.3*x=15

0.3x=15

x= 15/0.3

x= $50

Hence the purchase is $50

Answer:

$50 is the total

Step-by-step explanation:

30% over 100% =  15 over x

then you cross multiply and get:

30x = 1500

you then divide both sides by 30

30 and 30 cross out

1500 ÷ 30 = $50

Answer:

720

Step-by-step explanation:

Potato has 6 letters

6!/2!×2!

6×5×4×3×2/2×2

Answer:

44

Step-by-step explanation:

sum of two interior angle is equal to the exterior angle

: . 14 +30 = 44