Find the volume and surface area of a rectangular box 3 ft by 1.2 ft by 6 ft The volume is 21.621.6 cubic feet. ​(Round to the nearest tenth as​ needed.) The surface area is nothing square feet. ​(Round to the nearest integer as​ needed.)

Answer:

Step-by-step explanation:

Today's calculators have statistical functions built in.

A.  Here we use:

normalcdf(10,310,205,35), WHICH returns 0.999.

B.  normalcdf(135,275, 205,35) = 0.954

C.  normalcdf(240, 10000, 205, 35) = 0.159

Answer:

Part A

c = p + 55h

Part B

$362

Step-by-step explanation:

Dawson's Garage charges $55 per hour to do car repairs plus the cost of the parts.

Part A

h = the number of hours

p = the cost of the parts

c = the total cost of the repairs.

The equation to model this situation is written as:

c = p + $55 × h

c = p + 55h

Part B

What will the cost of the repairs be if the parts cost $142 and it takes 4 hours to do the repairs?

From the above question:

p = $142

h = 4

Since our equation =

c = p + 55h

Hence,

c = 142 + 55 × 4

c = 142 + 220

c = 362

Therefore, the cost of repairs = $362

Answer:

1307/840

Step-by-step explanation:

Answer:

The one on the bottom left

Step-by-step explanation:

Have a wonderful Day

Answer:

Step-by-step explanation:

Answer:213.3

Step-by-step explanation: 8x8 =64(the base)x10 (the height) x1/3

Answer: n < 60

Step-by-step explanation:

n - 48 < 12

n - 48 + 48 < 12 + 48

n < 60

Answer:

x = 6

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

that is the answer i got

Answer:

[tex](1)\ [12]x^2 [-][37]x - 30 = (3x + 2)(4x - 15)[/tex]

[tex](2)\ x^2\ [\ -]\ 169 = (x \[+ ]\ 13){x\ [- ]\ [13 ])[/tex]

[tex](3)\ x^2 [-]\ [9]x + 20 = (x\ [-] 5)(x- [4])[/tex]

[tex](4)\ x^2 + [11]x + 28 = (x + 7)(x + [4])[/tex]

[tex](5)\ x^2 + [5]x - 24 = (x\ [-]\ [3])(x\ [+]\ [8])[/tex]

Step-by-step explanation:

Given

See attachment for complete question

Required

Complete the boxes

Solving (1):

[tex][ \ ]x^2 [ \ ] [\ ]x - 30 = (3x + 2)(4x - 15)[/tex]

Swap the equation

[tex](3x + 2)(4x - 15) = [ \ ]x^2 [ \ ] [\ ]x - 30[/tex]

Open bracket

[tex]12x^2 -45x + 8x - 30 = [ \ ]x^2 [ \ ] [\ ]x - 30[/tex]

Simplify the like terms

[tex]12x^2 -37x - 30 = [ \ ]x^2 [ \ ] [\ ]x - 30[/tex]

So, we have:

[tex][12]x^2 [-][37]x - 30 = [ \ ]x^2 [ \ ] [\ ]x - 30[/tex]

i.e.

[tex][12]x^2 [-][37]x - 30 = (3x + 2)(4x - 15)[/tex]

Solving (2):

[tex]x^2\ [\ ]\ 169 = (x \ [\ ]\ 13)(x\ [\ ]\ [\ ])[/tex]

The above expression illustrates the difference of two squares.

So, complete the first equation with minus

[tex]x^2\ [\ -]\ 169 = (x \ [\ ]\ 13)(x\ [\ ]\ [\ ])[/tex]

Express 169 as 13^2

[tex]x^2\ [\ -]\ 13^2 = (x \ [\ ]\ 13)(x\ [\ ]\ [\ ])[/tex]

Apply difference of two squares

[tex](x + 13)(x - 13) = (x \[\ ]\ 13){x\ [\ ]\ [\ ])[/tex]

So, the complete expression is:

[tex]x^2\ [\ -]\ 169 = (x \[+ ]\ 13){x\ [- ]\ [13 ])[/tex]

Solving (3):

[tex]x^2 [\ ]\ [\ ]x + 20 = (x \ [\ ]5)(x - [\ ])[/tex]

20 can be expressed as: -5 * -4

So, the expression becomes

[tex]x^2 [\ ]\ [\ ]x + 20 = (x \ [- ]5)(x - [4 ])[/tex]

Expand

[tex]x^2 [\ ]\ [\ ]x + 20 = x^2 - 5x - 4x + 20[/tex]

[tex]x^2 [\ ]\ [\ ]x + 20 = x^2 -9x + 20[/tex]

So, the complete expression is:

[tex]x^2 [-]\ [9]x + 20 = (x\ [-] 5)(x- [4])[/tex]

Solving (4):

[tex]x^2 + []x + 28 = (x + 7)(x + [])[/tex]

28 can be expressed as 7 * 4

So, the expression becomes

[tex]x^2 + []x + 28 = (x + 7)(x + [4])[/tex]

Expand

[tex]x^2 + []x + 28 = x^2 + 7x + 4x + 28[/tex]

[tex]x^2 + []x + 28 = x^2 + 11x + 28[/tex]

So, the complete expression is:

[tex]x^2 + [11]x + 28 = (x + 7)(x + [4])[/tex]

Solving (5):

[tex]x^2 + []x - 24 = (x\ []\ [])(x\ []\ [])[/tex]

-24 can be expressed as -3 * 8

So, the expression becomes

[tex]x^2 + []x - 24 = (x\ [-]\ [3])(x\ [+]\ [8])[/tex]

Expand

[tex]x^2 + []x - 24 = x^2 +8x - 3x - 24[/tex]

[tex]x^2 + []x - 24 = x^2 +5x - 24[/tex]

So, the complete expression is:

[tex]x^2 + [5]x - 24 = (x\ [-]\ [3])(x\ [+]\ [8])[/tex]

An equation is formed of two equal expressions. The complete equations are:

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

1. The first equation that is given to us is:

[tex](?x^2)\ ?\ (?x)-30 = (3x+2)(4x-15)[/tex]

Now, if we simply expand the right-hand side of the equation we will get the equation that is mentioned on the left side of the given equation, therefore,

[tex](3x+2)(4x-15)\\\\= 12x^2-45x+8x-30\\\\=12x^2-37x-30[/tex]

Thus, the complete equation will be

[tex]12x^2-37x-30 = (3x+2)(4x-15)[/tex].

2. The second equation that is given to us is,

[tex]x^2\ ?\ 169 = (x\ ?\ 13)(x\ ?\ ?)[/tex]

Now, if look closely at the equation, and substitute the '-' in the place of '?' the equation we will be in the form of an algebraic equation, therefore, the solution of the equation can be made using the algebraic expression,

[tex]a^2-b^2 = (a+b)(a-b)\\\\(x^2-13^2) = (x+13)(x-13)\\\\\(x^2-169) = (x+13)(x-13)[/tex]

Thus, the complete equation will be

[tex](x^2-169) = (x+13)(x-13)[/tex].

3. The third equation that is given to us is,

[tex]x^2\ ?\ (?x)+20 = (x\ ?\ 5)(x-?)[/tex]

As we can see in the equation, on the left side of the equation the last digit is +20, therefore, the digits on the right side of the equation should be such that their product should be +20, as 5 is already given therefore, the other term should be 4 also, the second term is positive but we need the product to be positive, therefore, the sign of the digit 5 will also be negative.

[tex]x^2\ ?\ (?x)+20 = (x\ ?\ 5)(x-?)\\\\x^2\ ?\ (?x)+20 = (x- 5)(x-4)[/tex]

Now, if we solve the right side of the equation we will get the left side of the equation,

[tex](x- 5)(x-4)\\\\= x^2 - 4x-5x +20\\\\=x^2-9x+20[/tex]

Thus, the complete equation is

[tex]x^2-9x+20=(x-5)(x-4)[/tex].

4. The fourth equation that is given to us is

[tex]x^2 + ?x + 28 = (x+7)(x+?)[/tex]

As we can see in the equation, on the left side of the equation the last digit is +28, therefore, the digits on the right side of the equation should be such that their product should be +28, as 7 is already given therefore, the other term should be 4. Also, 28 is a positive integer, and 7 is also a positive integer, therefore, the number in the last will be positive as well.

[tex]x^2 + ?x + 28 = (x+7)(x+4)[/tex]

Now, if we solve the right side of the equation we will get the left side of the equation,

[tex](x+7)(x+4)\\\\= x^2 + 4x+ 7x + 28\\\\= x^2 + 11x+28[/tex]

Thus, the complete equation is

[tex]x^2 + 11x + 28 = (x+7)(x+4)[/tex]

5. The fifth equation that is given to us is

[tex]x^2 + ?x -24=(x\ ?\ ?)(x\ ?\ ?)[/tex]

As we can see in the equation, on the left side of the equation the last digit is -24, therefore, the digits on the right side of the equation should be such that their product should be -24, Since the product is negative, therefore, either one of the digits on the right should be negative as well, but the middle term on the right is positive, therefore, the bigger number will be positive while the smaller ones will be negative.

[tex]x^2 + ?x -24=(x+8)(x-3)[/tex]

Now, solving the right side of the equation to get the complete left side of the equation we will get,

[tex](x+8)(x-3)\\\\=x^2 -3x + 8x -24\\\\=x^2 + 5x - 24[/tex]

Thus, the complete equation is

[tex]x^2 + 5x - 24=(x+8)(x-3)[/tex]

Learn more about Equation:

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Answer:

5/16 pounds

Step-by-step explanation:

The problem mentions that Audrey needs to cut a 5-pound block into 16 pieces. This means that each of the 16 pieces of cheese must weigh the same, thus we have to divide 5 pounds by 16 to divide the weight equally. Thus, all you need to do is divide 5 by 16, giving you 5/16. Therefore, your answer is that each block of cheese weighs 5/16 pounds.

Answer:

0.3125 pounds

Step-by-step explanation:

Each wedge of cheese weights 0.1325 pounds

Answer:

3. 43     4. 84     5. 522

Step-by-step explanation:

The statement second is correct because the end behavior is that as x = ±∞ , f(x) → 0

A limit is a value at which a function approaches the output for the given values in mathematics. Limits are used to determine integrals, derivatives, and continuity in calculus and mathematics.

We have a function:

[tex]\rm f(x) = \frac{7x^2+x+1}{x^4+1}[/tex]

Applying limit:

[tex]\lim_{x \to \pm \infty} \rm f(x)[/tex]

[tex]\rm \lim_{x \to \pm\infty} \frac{7x^2+x+1}{x^4+1}[/tex]

Divide by x^4 on the numerator and denominator, we get:

[tex]\rm \lim_{x \to \pm\infty} \frac{7/x^4+1/x^3+1/x^4}{1+1/x^4}[/tex]

So the value of the limit will be zero whereas x tends to ±∞

Thus, the statement second is correct because the end behavior is that as x = ±∞ , f(x) → 0

Learn more about the limit here:

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#SPJ2

Answer:

31

Step-by-step explanation:

y+y=y+31

2y-y=31

y=31°

Answer:

1 hour and 35 mins

Step-by-step explanation:

Step-by-step explanation:

here u go ..ntgs different hope this will too helps ..stay safe

Answer:

Solution given:

-2(3x+12y-5-17x-16y+4)

-6x-24y+10+34x+32y-8

34x-6x+32y-24y+10-8

28x+8y+2 is a required answer.

Answer:

We first need to solve the inequality so,

3 > j/-3 - 7

+7         +7

10 > j/-3

x-3    x-3

-30 > j

D is your answer.

It starts around -30 and the numberline is bold as it goes DOWN. The circle is hallow which also means just greater than.

Answer:

x = 4

Step-by-step explanation:

Area of a parallelogram = base times height

Given area = 40

Given height = 4

Given = x + 6

Thus,

40 = 4 * (6 + x )

Step 1 distribute the 4

4 * 6 = 24

4 * x = 4x

we now have 40 = 24 + 4x

step 2 subtract 24 from each side

40 - 24 = 16

24 - 24 cancels out

now we have 16 = 4x

step 3 divide each side by 4

4x / 4 = x

16 / 4 = 4

we're left with x = 4

To check our work, we can plug in the value of x and find the area of the parallelogram then. If it equals 40 the x = 4 is true.

(x + 6) * 4

* substitute 4 for x *

(4 + 6) * 4

4 + 6 = 10

10 * 4 = 40

40 = 40

Hence x = 4

Answer:

x = 4

Step-by-step explanation:

X + 6 feet

4 feets

Answer:

Y=19 Hope this helps!!!!

Step-by-step explanation:

Answer: 21 miles

Step-by-step explanation:

7x3 = 21 miles

Answer:

the answer is A-  B/3 or B divided by 3

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The area of the expanded rectangular patio is: D. (0.5l)(0.2w)

Area = (length)(width)

Given the following:

New length = 50% of l = 0.5l

New width = 20% of w = 0.2w

Area of the expanded rectangular patio = (0.5l)(0.2w)

Learn more about area of rectangle on:

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Answer:

352 students

Step-by-step explanation:

Given

See attachment for table

[tex]n = 400[/tex]

Required

Attendance of students in this year's show

First, we calculate the mean of the table

[tex]Mean= \frac{\sum x}{n}[/tex]

So, we have:

[tex]Mean= \frac{85\% + 91\% + 92\% + 87\% +84\% + 89\%}{6}[/tex]

[tex]Mean= \frac{528\%}{6}[/tex]

[tex]Mean= 88\%}[/tex]

Multiply the mean by the total students

[tex]Expected = Mean * n[/tex]

[tex]Expected = 88\% * 400[/tex]

[tex]Expected = 352[/tex]

Answer:352

Step-by-step explanation:

You basically just find the mean

Answer:

57%

Step-by-step explanation:

Answer:

I think the first one 57%

Step-by-step explanation:

hope this helps sorry if it doesn't have a good rest of your afternoon/day :) ❤

Answer: 1.6

Step-by-step explanation: So the diameter is the length of the hall sphere so you would times the radius by two to get the diameter wich is 1.6

Answer:

10 + 30x

Step-by-step explanation:

Answer:

-10 - 30x

Step-by-step explanation:

-10 (1 + 3x)

(-10 · 1) + (-10 · 3x)

-10 + -30x

-10 - 30x

Answer:

H(22) = 54 + 22 = 76

Step-by-step explanation:

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

Answer:

chug jug

Step-by-step explanation:

with you