Samuel bought 4 rolls of tape to seal boxes. Each roll contains 32.9 meters of tape. He uses 1.2 meters of this tape to seal each box. What is the total number of boxes Samuel can seal with these 4 rolls of tape?

Answer:

Step-by-step explanation:

15/2 = 7.5 and (7.5)^2 = 56.25  so

x^2 + 15x + 56.25 = 49 + 56.25

x^2 + 15x + 56.25 = 105.25.

Answer:

[tex]x^2+15x+\boxed{\dfrac{225}{4}}=\boxed{\dfrac{421}{4}}[/tex]

[tex]x^2+15x+\boxed{56.25}=\boxed{105.25}[/tex]

Step-by-step explanation:

General form of a quadratic equation: [tex]ax^2+bx+c[/tex]

When completing the square, first add the number that is the square of half of [tex]b[/tex].

Given equation:  [tex]x^2+15x=49[/tex]

Therefore, [tex]b=15[/tex]

[tex]\implies \left(\dfrac{b}{2}\right)^2=\left(\dfrac{15}{2}\right)^2=\dfrac{225}{4}[/tex]

So we need to add 225/4 to both sides of the equation:

[tex]\implies x^2+15x+\dfrac{225}{4}=49+\dfrac{225}{4}[/tex]

[tex]\implies x^2+15x+\boxed{\dfrac{225}{4}}=\boxed{\dfrac{421}{4}}[/tex]

In decimal form:

[tex]\implies x^2+15x+\boxed{56.25}=\boxed{105.25}[/tex]

To finish completing the square,

factor the left side of the equation:

[tex]\implies \left(x+\dfrac{15}{2}\right)^2=\dfrac{421}{4}[/tex]

Finally, subtract 421/4 from both sides:

[tex]\implies \left(x+\dfrac{15}{2}\right)^2-\dfrac{421}{4}=0[/tex]

In decimal form:

[tex]\implies (x+7.5)^2-105.25=0[/tex]

Answer:

a) x-intercept is x=-4

Step-by-step explanation:

From y=log(x-h)+k, h is the value of transitioning between left or right.

Since x+4 makes it x-(-4) means x=-4

Answer:

Mean (Average) 19.142857142857

Median 19.5

Step-by-step explanation:

please give brainliest or at least 5 stars

Answer:

7

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

to find the slope of a line you use slope intercept form

Option (b) is correct. The formula m = (y₂ - y₁)/(x₂ - x₁) is used to find the slope of the line.

In Mathematics, "a slope of a line is the change in y coordinate with respect to the change in x coordinate".

According to the question,

Equation of the line using slope intercept form is y = mx + c where 'x, y' are variable and 'm' is the slope of the line and 'c' is constant.

To find the slope of the line m = (y₂ - y₁)/(x₂ - x₁).

Hence, the option (B) m = (y₂ - y₁)/(x₂ - x₁) is correct.

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1:24 since this was asked a min ago

Answer:

The order in which you evaluated the expression was a bit incorrect but the outcome either way was 78. In some cases if you evaluate the expression incorrectly or not in order will result in you getting the wrong answer. If you want to see how to evaluate it correctly just look below.

Step-by-step explanation:

PEMDAS stands for

Parenthesis

Exponents

Multiplication and Division ( left to right )

Addition and Subtraction ( left to right )

And it basically tells us the order in which you are suppose to evaluate a mathematical expression.

It appears the expression you are given is 4² + ( 1 × 5 + 7² ) + 8

First we would do the operation inside of the parenthesis

so we have ( 1 × 5 + 7² )

Exponents come before multiplying and addition so first evaluate the exponent, 7² = 49

we now have ( 1 × 5 + 49 )

we next do the multiplication

( 5 + 49 )

Finally we do the addition

5 + 49 = 54.

We then replace the expression ( 1 × 5 + 7² )  with 54 as we just evaluated everything in the parenthesis

we get 4² + 54 + 8

So we just did the parenthesis and next is exponents so lets evaluate the exponents, 4² = 16

16 + 54 + 8

Next in PEMDAS is multiplication and division. There is none so we go to the next step.

We now do the addition and subtraction. ( going left to right )

16 + 54 + 8

first add 16 and 54

70 + 8

finally add 70 and 8

= 78

Notes:

For parenthesis you evaluate everything inside of the parenthesis before you remove the parenthesis

For multiplcation and division, you must evaluate in order going left to right, not doing so can result in a wrong answer.

The velocity of the satellite in orbit around Earth is approximately 73.8856 x 10³m/s.

The velocity of a satellite in orbit around Earth can be found using the formula:

v = √(G * mp / r)

where G is the gravitational constant [tex](6.67 \times 10^{-11} Nm^2/kg^2)[/tex], mp is the mass of Earth ([tex]5.97 \times 10^{24}[/tex] kg), and r is the orbital radius of the satellite ([tex]7.3 \times 10^4[/tex] m).

Substituting the given values into the formula, we get:

[tex]v = \sqrt{(6.67 * 10^{-11} * 5.97 *10^{24} /(7.3*10^4)}[/tex]

v ≈ 73.8856 x 10³ m/s

Therefore, the velocity of the satellite in orbit around Earth is approximately 73.8856 x 10³m/s.

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Answer:

-1/7

Step-by-step explanation:

hope it helps:

Answer:

[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

we've been given a rectangular prism and the question asks us to calculate its volume.

well that's kinda easy , so let's go ahead ~

height of prism = 2 inches

breadth of prism = 10 inches

length of prism = 13 inches

Now ,

[tex]Volume \: of \: prism = l \times b \times h \\ \implies \: 13 \times 10 \times 2 \\ \implies \: 260 \: inches {}^{3} [/tex]

therefore , the first option ( C ) is correct.

hope helpful :D

Answer:

Option C, [tex]260\ in^3[/tex]

Step-by-step explanation:

Step 1:  Determine the volume of the prism

[tex]V = l * w * h[/tex]

[tex]V = 13\ in * 10\ in * 2\ in[/tex]

[tex]V = 260\ in^3[/tex]

Answer: Option C, [tex]260\ in^3[/tex]

Answer:

Step-by-step explanation:

Given :

x = -6

-7x + 6y = -18 ... i)

Putting the value of x in equation ...i)

=> -7 (-6) + 6y = -18

=> 42 + 6y = -18

=> 6y = -18 -42

=> 6y = - 60

=> y = -60/6

=> y = -10

The value of y = -10 and x = -6

Answer:

x= 4, y=6

Step-by-step explanation:

9x-9y = -18

9x=-18+9y

x=-2+y

-6(-2+y) + 9y = 6

-12-6y+9y=6

3y=18

y=6

9x -9(6)=-18

9x-54=-16

9x=36

x=4

Using the permutation formula, it is found that there are 840 possible arrangements of the 4 trophies.

The problem says the word "arrangements", which implies that the order matters, hence the permutation formula is used to solve this question.

The number of possible permutations of x elements from a set of n elements is given by:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

In this problem, 4 elements from a set of 7 are arranged, hence:

[tex]P_{7,4} = \frac{7!}{3!} = 840[/tex]

There are 840 possible arrangements of the 4 trophies.

More can be learned about the permutation formula at https://brainly.com/question/25925367

If the sound level of a jet plane is approximately 140 db, the intensity of the sound of a jet plane is approximate 100dB

The sound level of a jet plane is expressed according tothe expression given as:
β = 10log(I/I0)

Given the folowing parameters

β = 140dB

I0 = 10^-12 W/m²

Required

Intensity "I"

Substitute

140 =10log(I/10^-12)

14 = log(I/10^-12)

10^14 = I/10^-12
I = 10^14 * 10^-12

I = 10^2

I = 100dB

Hence if  the sound level of a jet plane is approximately 140 db, the intensity of the sound of a jet plane is approximate 100dB

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Answer:

100

Step-by-step explanation:

Answer:

40 units

Step-by-step explanation:

-7 to 6 is 13 units and -3 to 4 is 7 units, it asks for perimeter so 13 x 2 + 7 × 2

Polynomial are expression that have a leading degree of 3. The other polynomial function will be 3yz^2 – 3z^2 – 4y^4 - y + 3

Polynomial are expression that have a leading degree of 3. Given the following expression

Sum = –yz^2 – 3z^2 – 4y^4.

One of the polynomial = y – 4yz^2 – 3

Required

The other polynomial

Let the unknown polynomial be "a" such that:

a =  –yz^2 – 3z^2 – 4y^4 - (y – 4yz^2 – 3)

Expand

a =  –yz^2 – 3z^2 – 4y^4 - y + 4yz^2 + 3

a = 3yz^2 – 3z^2 – 4y^4 - y + 3

Hence the other polynomial function will be 3yz^2 – 3z^2 – 4y^4 - y + 3

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Answer: D. or 3yz^2-3z^2-5y+7

Step-by-step explanation: got it right on edge

Answer:

Consumtion:
  September:7535
  October:16556
  November:9616
  December:13615
Tama po yan
Pa branlies naman po
HOPE IT HELPS ALOT

Answer:

  4 seconds

Step-by-step explanation:

The relation between time, speed, and distance is ...

  time = distance/speed

__

The given measures indicate a time of ...

  time = (8.42 m)/(2.105 m/s) = 4.00 s

Jericho ran for 4 seconds.

Answer:

it would take about 4 days to complete

Answer:

the perimeter is the distance around a surface. so it's 4+4+8+5+1 = 22 m = C

Answer:

Option C, 22m

Step-by-step explanation:

Step 1:  Determine the perimeter

Finding the perimeter means that we need to add up all of the sides into one number which will give us the total length of the entire item.

4m + 4m + 8m + 5m + 1m

22m

Answer: Option C, 22m

Answer:

18

Step-by-step explanation:

double both numbers and add them together and thats how you find the answer to a rectangle

Answer: 7

Step-by-step explanation:

Answer:

[tex]x = 60[/tex]

Step-by-step explanation:

Step 1:  Convert into an equation

Nine less than one forth of a number is 6

[tex]1/4x - 9 = 6[/tex]

Step 2:  Add 9 to both sides

[tex]1/4x - 9 = 6[/tex]

[tex]1/4x - 9 + 9= 6+ 9[/tex]

[tex]1/4x = 15[/tex]

Step 3:  Multiply both sides by 4

[tex]1/4x * 4 = 15 * 4[/tex]

[tex]x = 60[/tex]

Answer:  [tex]x = 60[/tex]

Answer: search it up online

Step-by-step explanation: click new tab type it in and press search

Your answer is 2 hours and 40 minutes

Answer:

  37.5 laps

Step-by-step explanation:

If we assume that Bill can run at the same speed for 45 minutes, the number of laps will be proportional to the time.

  laps/time = 10 laps/(12 minutes) = n laps/(45 minutes)

  n laps = (10 laps)(45/12) = 37.5 laps . . . . . multiply by 45 minutes

Bill can run 37.5 laps in 45 minutes.

Answer:

x=3

Step-by-step explanation:

....................

Answer:

x=3

Step-by-step explanation:

i did the edg test

Answer:

Say your own opinion about your feelings on it

Answer:  This is an opion question you could just say how you feel about disney but if you dont know what to say I will tell you in the explanation.

Step-by-step explanation: Im happy that disney is taking over the franchise it is now very succesfull and i'll tell you what I like about it.

5) It is an escape from reality.

4) It is growing up with us.

3) It makes us happy.

2) It brings us back to our childhood.

1) We can share it with our families/friends.

There is also many more but these are my main.