Suppose that d varies jointly with r and t, and d = 110 when r = 55 and t = 2. Find r when d = 40 and t = 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:

Solution given:

we have formula

a²+b²=(a+b)(a-b)

now

4x²-9

(2x)²-3²

using formula

(2x+3)(2x-3)

other expression is 2x-3.

Answer:

( 2x - 3 )

Step-by-step explanation:

4x² - 9 is a perfect square meaning it can be factored into 2 expressions,

( 2x + 3 ) ( 2x - 3 )

Answer:

[tex]{ \tt{x + 36 \degree + 48 \degree = 360 \degree}} \\ { \tt{x = (360 - 48 - 36) \degree}} \\ { \tt{x = 276 \degree}}[/tex]

Answer:

Step-by-step explanation:

correct me if I am wrong

Answer:

B

Step-by-step explanation:

the graph has been shifted 4 units to left, and 2 units down.

Answer:

Graph shifted down by 2 ... -2

graph slid  4 to the left ... + 4

B is the answer y = |x+4| -2

Step-by-step explanation:

Step-by-step explanation:

x will be 0

y will be -2

thats the answer babe

Answer:

Step-by-step explanation:                

[tex]\displaystyle\Large\boldsymbol{} x^4+2x^3-2x^2+2x-3= \\\\\\x^4+2x^2(x-1)+2x-\underbrace{2-1}_{-3}= \\\\\\x^4-1+2x^2(x-1)+2x-2 = \\\\\\(x^2-1)(x^2+1)+2x^2(x-1)+2(x-1) = \\\\\\\underline{(x-1)}(x+1)(x^2+1)+2x^2\underline{(x-1)} +2\underline{(x-1)} =\\\\\\(x-1)((x+1)(x^2+1)+2x^2+2)=\\\\\\(x-1)(x^3+x^2+2x^2+x+2+1)=\\\\\\(x-1)(x^3+3x^2+x+3) =\\\\\\(x-1)( \underline{(x+3)}x^2+\underline{(x+3)})=(x^2+1)\underbrace{(x-1)(x+3)}_{x^2+2x-3}= \\\\\\(x^2+1)(x^2+2x-3) : (x^2+2x-3)=x^2+1[/tex]

Answer:

7.8391

Step-by-step explanation:

Answer:

Step-by-step explanation:

The key to solving this equation is knowing how to "undo" a natural log. Just like square roots are "undone" by squaring, and cubing "undoes" a cubed root, raising a natural log to the base of e, Euler's number, undoes a natural log. Because this is an equation you have to raise both sides of it to the base of e:

[tex]e^{ln(x+3)}=e^5[/tex]

That leaves us on the left with simply

x + 3

On the right we have a constant. e is not a variable, it is a number. You can find its value on your calculator. Solving for x:

[tex]x=e^5-3[/tex] and

[tex]e^5=148.4131591[/tex], so

x = 148.4131591 - 3 and

x = 145.4132, the first choice listed.

Answer:

114cm

Step-by-step explanation:

3×8×4=96

3×3×2=18

96+18=114

____________

Step-by-step explanation:

So:

⅔ × π.r² = 2.π.r

3 = πr²/πr

3 = r

r = 3

#mathisfun

[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:

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:

The answer si:  

- 16 servings - 6 oz of salmon

- 24 servings - 9 oz of salmon

- 80 servings - 30 oz of salmon

- 100 servings - 37.5 oz of salmon

1 roll is 8 servings and it is also made of 3oz of smoked salmon. That means that 3oz of smoked salmon is needed fo 8 servings.

Now, let's made some proportions:

16 servings:

3 oz is for 8 servings, how much oz is for 16 servings:

3 : 8 = x : 16

x = 3 · 16 ÷ 8 = 6 oz

24 servings:

3 oz is for 8 servings, how much oz is for 24 servings:

3 : 8 = x : 24

x = 3 · 24 ÷ 8 = 9 oz

80 servings:

3 oz is for 8 servings, how much oz is for 80 servings:

3 : 8 = x : 80

x = 3 · 80 ÷ 8 = 30 oz

100 servings:

3 oz is for 8 servings, how much oz is for 100 servings:

3 : 8 = x : 100

x = 3 · 100 ÷ 8 = 37.5 oz

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:

$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:

Range = {5, 7, 9}

Step-by-step explanation:

Range is the set of values that are the results of respective values of x when placed in the function f(x).

[tex] \mathfrak{\blue {\underline{\implies If\: x = 3 }}} [/tex]

f(3) = 2 × 3 - 1

f(3) = 6 - 1

f(3) = 5

[tex] \mathfrak{\blue{\underline{\implies If \:x = 4 }}} [/tex]

f(4) = 2 × 4- 1

f(4) = 8 - 1

f(4) = 7

[tex] \mathfrak{\blue{\underline{\implies If\: x = 5 }}} [/tex]

f(5) = 2× 5 - 1

f(5) = 10 - 1

f(5) = 9

Therefore, the range is the set of all these values :-

Range = {5, 7, 9}

Answer:

Step-by-step explanation:

It's right

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:

(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:

[tex]{ \tt{ = 28a - {4a}^{2} }} \\ = 4a(7 - a)[/tex]

Answer:

72-p=(the number of pears sandeep picked)

Step-by-step explanation:

Answer:

72 - p

Step-by-step explanation:

When it says a number fewer, that means to put it behind rather than in the front.

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:

54°

Step-by-step explanation:

$800 is 360° of a pie chart

$120 is ?° of the pie chart

?° = (360*120)/800 = 54°

*if you need the answer to be in radiants

(54*π) /180 = 0.942478 rad

Step-by-step explanation

Answer: -6/7

Step-by-step explanation:

[tex]2x/5-3x/4=3/10\\(8x-15x)/20=3/10\\-7x/20=3/10\\-7x=(3/10)*20\\-7x=6\\x=-6/7[/tex]

We have to find,

The required value of x.

Given that,

→ 2x/5 - 3x/4 = 3/10

Then let's solve for the value of x,

→ 2x/5 - 3x/4 = 3/10

→ (8x - 15x)/20 = 3/10

→ -7x/20 = 3/10

→ -7x = (3/10) × 20

→ -7x = 3 × 2

→ -7x = 6

→ [x = -6/7]

Hence, the value of x is -6/7.

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:

N/A

Step-by-step explanation:

What's the question to the question?

Answer:

The two numbers are 182 and 210. I hope this will help you.

Answer:

If a square has a side length of 4, then the area is 16.

A = [tex]s^{2}[/tex]    where s = side length.

If a diagonal is drawn to create 2 halves, then the area of each half is 8.

So most likely the answer you are seeking is:  [tex]\frac{1}{2}[/tex] ( 4 · 4 )

Answer:

8/5

Step-by-step explanation:

[8-(-8)]/[2-(-6)] = 16/10 = 8/5

Answer:

you have to take away you word they said how many