Find the area of the rectangle with the length 2x-4 and height of -3

Answer:

16x^11

Step-by-step explanation:

2x^3 x 8x^8

= 2 x 8 ( x^8 x x^3 )

= 16 ( x ^8 + 3 )

= 16x^11

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\mathsf{2x^3\times8x^8}\\\textsf{There arent any like terms so we \underline{do not} have to compare them together}\\\mathsf{= \mathsf{2\times8 \rightarrow \bf 16}}\\\mathsf{= 3+8\rightarrow\bf 11}\\\mathsf{= 16\times x^{11}}\\\mathsf{= \bf 16x^{11}}\\\\\\\\\boxed{\boxed{\large\textsf{Answer: \bf 16x}\mathsf{\bf ^{11}}}}\huge\checkmark\\\\\\\large\textsf{Good luck on your assignment and your day!}\\\\\\\\\frak{Amphitrite1040:)}[/tex]

Answer:

0.054

Step-by-step explanation:

We have the general binomial probability calculation as;

n C r * p^r * (1-p)^(n-r)

Where 1-p = 1-1/6 = 5/6

So we have ;

6 C 3 * (1/6)^3 * (5/6)^3

= 0.054

Answer:

p=9

r=18

Step-by-step explanation:

____________

Step-by-step explanation:

So:

⅔ × π.r² = 2.π.r

3 = πr²/πr

3 = r

r = 3

#mathisfun

Answer:

The lines mean "Absolute Value"

Step-by-step explanation:

"Absolute Value" is always positive. So the problem is actually, 2+3-24/3*2

Only the term "-2-3" is inside the lines so they are the only numbers that have to be or change to positive.

Answer:

-11

Step-by-step explanation:

Those lines are called Absolute Value which can be thought of the distance of the number away from zero.

| -2 - 3 | - 24/3 x 2

1) first we solve the absolute value.

| -5 | -24/3 x 2

2) then we know absolute value is the number from 0 so -5 would be +5 and we can remove the lines because we solved the absolute value.

5 -24/3 x 2

3) solve.

5 - 8 x 2

5 - 16

-11

Have a great day or night :)

Given:

The length of a string in yards is a function f(n) of the length n in inches

To find:

The function rule for the given situation.

Solution:

We know that,

12 inches = 1 yard

1 inch = [tex]\dfrac{1}{12}[/tex] yard

n inches = [tex]\dfrac{n}{12}[/tex] yards

It is given that the length of a string in yards is a function f(n) of the length n in inches. So,

[tex]f(n)=\dfrac{n}{12}[/tex]

Therefore, the required function for the given situation is [tex]f(n)=\dfrac{n}{12}[/tex].

Answer:

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

Surface area of a cube = 6a²

Where,

a = edge = 3

Surface area of a cube = 6a²

= 6 * (3)²

= 6 * (3 * 3)

= 6 * 9

= 54

Therefore,

The Surface area of the cube = 54

Answer:

Step-by-step explanation:

7*(7 + x+1) = 6*(x + 5 + 6)       {Intersecting secant theorem}

7 *(x + 8) = 6*(x + 11)

Distributive property,

7x + 56   = 6x + 66

Subtract 56 from both sides

7x = 6x + 66 - 56

7x = 6x + 10

Subtract 6x from both sides

7x - 6x = 10

x = 10

Step-by-step explanation:

the answer is in the image above

pls give me brainliest

Answer:

Factor theorem: [tex]f(-5) = 0[/tex].

Synthetic division: [tex]f(x) = (x + 5)\, (2\, x^2 -3\, x + 1)[/tex].

Step-by-step explanation:

By the factor theorem, a monomial of the form [tex](x - a)[/tex] (where [tex]a[/tex] is a constant) is a factor of polynomial [tex]f(x)[/tex] if and only if [tex]f(a) = 0[/tex].

In this question, the monomial is [tex](x + 5)[/tex], which is equivalently [tex](x - (-5))[/tex]. [tex]a = -5[/tex].

[tex]\begin{aligned}& f(-5) \\ &= 2 \times (-5)^{3} + 7 \times (-5)^{2}- 14\times (-5) + 5\\ &= -250 + 175 + 70 + 5 \\ &= 0\end{aligned}[/tex].

Hence, by the factor theorem,  [tex](x + 5)[/tex], which is equivalent to [tex](x - (-5))[/tex], is a factor of [tex]f(x)[/tex].

[tex]\begin{aligned}& f(x) \\ &= 2\, x^{3} + 7\, x^{2} - 14\, x + 5 \\ &= \underbrace{(x + 5) \, (2\, x^2)}_{2\, x^{3} + 10\, x^{2}} - 3\, x^{2} - 14\, x + 5 \\ &= \underbrace{(x + 5) \, (2\, x^2)}_{2\, x^{3} + 10\, x^{2}} + \underbrace{(x + 5)\, (-3\, x)}_{-3\, x^{2} - 15\, x} + (x + 5) \\ &= (x + 5)\, (2\, x^{2} - 3\, x + 1)\end{aligned}[/tex].

The remainder is [tex]0[/tex] when dividing [tex]f(x)[/tex] by [tex](x + 5)[/tex]. Hence, [tex](x + 5)\![/tex] is a factor of [tex]f(x)\![/tex].

Step-by-step explanation:

x = ??

y = 72 + 40 = 112

x =112 - 180

x = 180-112

x = 68

or = 180 - 72 = 108

180 - 40 = 140

140 - 108 = 32

Answer:

Volume of cylinder

= π r² h

OAmalOHopeO

Answer:

The volume of the cylinder would be approximately 392.5 ft^3

Step-by-step explanation:

Just like the volume formulas for a cuboid, the formula for a cylinder is: Vol = (Circle Area)(Height). Since we already have the height value, let's move onto the circle area.

The formula for the area of a circle is: πr^2. The problem only gave us the value for the diameter (10), so to get the radius value, we just need to divide the diameter by 2, and we get a value of 5 ft as our radius. Next, we just need to square root it. So 5 x 5 = 25. Then, we multiply it by π. Because the problem is asking for an approximate answer, we can just assume that π is 3.14. And that gets us a value of 78.5 ft^2 for the area of the circle.

Finally, we just need to multiply the area and the height of the cylinder. So 78.5 x 5 is approx. 392.5 ft^3. Since we don't need to round to the nearest tenths place, we can just leave it alone.

Since I didn't use the exact value of π, the real answer may be a little off of what we got, but if you want to extra precise, you can go ahead and use the actual value of π.

Answer:

(45 - 25) / 2 × (2 + 3)

Step-by-step explanation:

Given:

45 - 25/2 × 2 + 3

By trials:

(45 - 25) / (2 × 2) + 3

= 20/4 + 3

= 20/7

Another trial:

(45 - 25)/2 × (2 + 3)

= 20/2 × 5

= 20/10

= 2

The parentheses should be inserted like this

(45 - 25) / 2 × (2 + 3)

[tex]\sf\huge\underline\color{pink}{༄Answer:}[/tex]

[tex]\tt8(x + 1) - 12x \\ = \tt8x + 8 \times 1 - 12x \\ = \tt8x + 8 - 12x \\ = \large\boxed{\tt{\color{pink}{ - 4x + 8}}}[/tex]

[tex]\color{pink}{==========================}[/tex]

#CarryOnLearning

[tex] \sf \: 8(x + 1) - 12x \\ = \sf8x + 8 - 12x \\ \sf = 8x - 12x + 8 \\ = \underline{\bf - 4x + 8}[/tex]

Answer:

Step-by-step explanation:

SP = ₹ 2250

Loss = 1/2% = 0.5%

[tex]CP = \frac{100}{100-loss}*SP\\\\=\frac{100}{99.5}*2250\\\\[/tex]

= ₹ 2261.31

b) Profit = 15%

[tex]SP = \frac{100+profit}{100}*CP\\\\= \frac{115}{100}*2261.31[/tex]

= ₹ 2600.51

Answer:

$86.40

Step-by-step explanation:

The house Trevor's family lives in has 6 people (including Trevor) and 3 bathrooms. In the past month, each person showered for an average of 480 minutes and used an average 72 liters of shower water (over the entire month). Water costs 0.20 dollars per liter.

How much money did Trevor's family spend, in total, on shower water in the past month?

Total people in Trevor's family = 6

Number of bathrooms = 3

Time each person spent to shower = 480 minutes

Quantity of water each person use per month = 72 liters

Cost of water per liter = $0.20

Total amount spent on shower water = Total people in Trevor's family × Quantity of water each person use per month × Cost of water per liter

= 6 × 72 × 0.20

= $86.40

Total amount spent on shower water = $86.40

Answer:

a) 81-6

b) 10.4

Step-by-step explanation:

a) assuming that the VAT is 20% of the 68 pounds,

you calculate 120% of 68 (convert percentage to decimal)

= 1,20 * 68 = 81.6 pounds

or

calculate 20% of 68 pounds and add the answer to 68 pounds:

(0.2 * 68) + 68 = 81.6 pounds

b) 20% of 52

first convert the percentage to decimals:

0.2 * 52 = 10.4 pounds

Answer:

around 82.75

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

because 11x + 17 = 3x

Answer:

The choose (A) 0.0023967

Step-by-step explanation:

Because any number in 10 to the negative is in point

Answer:

A

Step-by-step explanation:

From the first row, you can see the number of circles increase as you move from left to right therefore the same principle was applied for the row below it.

Answer:

[tex]\frac{3x-3}{5x} =\frac{24}{44} =\frac{6}{11}[/tex]

[tex]33x-33=30x[/tex]

[tex]3x=33[/tex]

[tex]x=11[/tex]

OAmalOHopeO

Answer:

$7, 657

Step-by-step explanation:

Compound interest is calculated by multiplying the initial principal amount by one plus the annual interest rate raised to the number of compound periods minus one. The total initial amount of the loan is then subtracted from the resulting value.

Answer:

(2,0)

Step-by-step explanation:

   2 (x + 2y) = (2)

      2x + 4y = 4

-    2x + 5y = 4

-1y = 0

y = 0

2x + 5(0) = 4

2x = 4

x = 2

Answer:

x=2 y=0

Step-by-step explanation:

solve for y

x+2y=2

x=2-2y

2(2-2y)+5y

4-4y+5y=4

4+y=4

y=0

plug into equation

2x+5(0)=4

x=2

and

x+2(0)=2

x=2

Answer:

1/1679616

Step-by-step explanation:

Answer:

Step-by-step explanation:

6^-3/6^5 = 6^-8 = 5.95 x 10^-7

Answer:

[tex]3 \frac{1}{3}[/tex]

Step-by-step explanation:

[tex]\frac{\frac{5}{2} }{36} = \frac{x}{48}[/tex]

36x = 5/2 * 48

36x = 120

[tex]x = 3 \frac{1}{3}[/tex]

The amount of sugar needed for 8 cookies will be equal to [tex]3\frac{1}{3}[/tex] cups.

It is given that a recipe of sugar cookies needed [tex]2\frac{1}{2}[/tex] cups of sugar for 36 cookies.

We have to find out the amount of sugar needed for 48 cookies.

What is the unitary method?

The unitary method is a method in which we find the value of a unit and then the value of the required number of units.

As per the question ;

Sugar required for 36 cookies = [tex]2\frac{1}{2}[/tex] cups

Sugar required for 1 cookies

=  [tex]2\frac{1}{2}[/tex] ÷ 36 cups

= [tex]\frac{5}{2}[/tex] ÷ 36

= [tex]\frac{5}{2}[/tex] × [tex]\frac{1}{36}[/tex]

So , the sugar required for 48 cookies will be equal to ;

= [tex]\frac{5}{2}[/tex] × [tex]\frac{1}{36}[/tex] × 48

= [tex]\frac{240}{72}[/tex]

= [tex]\frac{10}{3}[/tex]

or

[tex]3\frac{1}{3}[/tex] cups

Thus , the sugar needed for 8 cookies will be equal to [tex]3\frac{1}{3}[/tex] cups.

To learn more about unitary methods click here ;

https://brainly.com/question/23580742

#SPJ2

Answer:

About 5× more

Step-by-step explanation:

9,460,800÷1,861,440=

5.0825167612

Answer:

Step-by-step explanation:

First we estimate their value,

9,460,800 = 9,000,000 (estimate.)

1,861,440 = 2,000,000 (estimate.)

Then,

9,000,000 ÷ 2,000,000 = 4.5

When estimated,

4.5 = 5 (Ans)

Answer:

Step-by-step explanation:

[tex]\frac{a^{m}}{a^{n}}=a^{m-n}[/tex]

[tex]\frac{b^{4}}{b^{-3}}=b^{4-(-3)}=b^{4+3}=b^{7}[/tex]

Answer:

7

Step-by-step explanation: