Rewrite using a negative exponent. help ?

Formula :-

Volume of cylinder is π r²h .

Given :-

→ Volume = 308 cm³

→ Radius = 7 cm

Solution :-

→ πr²h = 308

→ π (7)²(h) = 308

→ 22×7×7×h/7 = 308

→ 22×7×h = 308

→ 154×h = 308

→ Height = 308/154

→ Height = 2 cm

So the height of the cylinder is 2 cm .

Answer:27

Step-by-step explanation:

The numerical length of IJ is 27 units.

A line segment in geometry is a section of a line that has two clearly defined endpoints and contains every point on the line that lies within its confines.

Given that Point, I is on line segment HJ. Given HI = x, IJ = 2x + 9, and

HJ = 4x.

The total length of the line will be written as below:-

HJ = HI + IJ

4x = x + 2x + 9

4x = 3x + 9

4x - 3x = 9

x = 9

The length of the segment IJ will be:-

IJ = 2x + 9

IJ = ( 2 x 9 ) + 9

IJ = 18 + 9

IJ = 27

Therefore, the numerical length of IJ is 27 units.

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Answer:

16) Anya, Danny, Bridget, Carl.

17) 217.66 bricks

Challenge) 275.65 minutes

Step-by-step explanation:

16) I think you have Anya and Danny reversed.  It should be:

Anya, Danny, Bridget, Carl.

17) Bridget can do 60 an hour, Danny 50 an hour, Carl 66 an hour, and Anya 41.66 an hour.  60+50+66+41.66=217.66

Challenge: Anya can do .694444 per minute, Bridget 1 per minute, Carl 1.1 per minute, and Danny .83333 per minute.  That makes 3.62777 per minute.  1000 divided by 3.6277777 is 275.65 minutes

[tex]\begin{cases}2x+3y=12\\2x-2y=2\end{cases}\\ --------(-)\\2x-2x+3y-(-2y)=12-2\\\\5y=10\quad|:5\\\\\boxed{y=2}\\\\\\2x-2y=2\quad|:2\\\\x-y=1\\\\x=1+y\\\\x=1+2\\\\\boxed{x=3}[/tex]

so:

x + y = 5

Answer:

so the order will be 5 x 2

Step-by-step explanation:

When we find the transpose of a matrix we change the rows into columns and columns into rows so the order is also reversed.

The order of  B transpose will be reversed i.e. it will 5 x 4.

When we multiply two matrices we check the columns of the first matrix should be equal to the rows of the second matrix and the answer should contain the rows of the first matrix and the columns of the second matrix as the order of the resultant matrix

B^T (5 X 4)  X D ( 4 X 2)

B^TD (5 X 2)

Now ED will be

E (5 x 4) D (4 x 2)

ED ( 5 x 2)

Now adding

B^TD (5 X 2) + ED ( 5 x 2) = (B^T × D) + ED ( 5 x 2)

In addition the order does not change.

Answer:

I think the answer is d

Step-by-step explanation: you have to divide both sides by 6

please mark as brainliest

Answer:

757

Step-by-step explanation:

Answer:

Step-by-step explanation:

Sum of 3/8 and -5/12:

Least common denominator of 8 & 12 = 24

[tex]\frac{3}{8}+\frac{-5}{12}=\frac{3*3}{8*3}+\frac{-5*2}{12*2}\\\\\\=\frac{9}{24}+\frac{-10}{24}\\\\\\=\frac{-1}{24}[/tex]

Finding -15/8 * 16/27:

[tex]\frac{-15}{8}*\frac{16}{27}=\frac{-5*2}{1*9}=\frac{-10}{9}[/tex]  

Reciprocal of -10/9 = -9/10

-1/24 ÷ -9/10 = [tex]\frac{-1}{24}*\frac{-10}{9}=\frac{1*5}{12*3}[/tex]

= [tex]\frac{5}{24}[/tex]

Answer:

As pressure increases, volume decreases.

Hope this answer correct :)

Answer:

As pressure increases, volume decreases

Step-by-step explanation:

like the other person said i agree with him or her because i just do :)

When you multiply two fractions together, multiply the two top numbers and then multiply the two bottom numbers.

5/12 x 1/3 = (5x1) / (12x3) = 5/36

Answer:

Step-by-step explanation:

[tex]\frac{5}{12}*\frac{1}{3}\\\\\\=\frac{5*1}{12*3}=\frac{5}{36}[/tex]

Answer:

Volume required in the tank (200 × 150 × 2)m3. therefore, required time= (6000/625)= 96 min.

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Hi my lil bunny!

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

Amswer :    [tex]\boxed { ( x - 2x^2 ) }[/tex]

Well you have to subtract [tex]( x - 2x^2 )[/tex] from [tex]1[/tex] to get [tex]1- x + 2*2^2[/tex]

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Have a great day/night!

❀*May*❀

Answer:

a. T = -1.72x + 212

b. 12,790 feet

Step-by-step explanation:

a. Let us assume the number of 1,000 elevation feet be x

Now the equation would be

T = -1.72x + 212

here the negative sign represents the fall in the boiling temperature with rise in elevation

b. Since the formula is

T = -1.72x + 212

can we write

T  - 212 = -1.72x

now divide by 1.72 in both the sides

[tex]\frac{t-212}{-1.72} = x\\\\ \frac{190-212}{-1.72} = x\\\\ \frac{-22}{-1.72} = x[/tex]

x = 12.79

So in feets it should be

= 12.79 × 1,000 feets

= 12790 feet

Answer:

¼

Step-by-step explanation:

[tex] \frac{3}{4} - \frac{1}{2} \: \\ lcm = 4[/tex]

[tex] \frac{3}{4} - \frac{1}{2} \\ - - \: \: 3 - 2 - - - \\ 4 \\ \frac{3 - 2}{4} [/tex]

[tex] \frac{1}{4} [/tex]

Answer:

They are perpendicular lines

Step-by-step explanation:

If one line has slope -8 and the other one has slope 1/8, they must be perpendicular to each other because the condition for perpendicular lines is that the slope of one must be the "opposite of the reciprocal of the slope of the original line."

the opposite of -8 is 8 , and the reciprocal of this is 1/8

Answer:

Below

Step-by-step explanation:

Let m and m' be the slopes of two different lines.

These lines are peependicular if and only if:

● m×m' = -1

Notice that:

● -8 ×(1/8) = -1

So the lines with the respectives slopes -8 and 1/8 are perpendicular.

Step-by-step explanation:

15 : 40

Both have table of 5 in common

5 : 8

You divide it with valid numbers that can be dividable with both numerator and denominator.

15/40 can be divided by 5 to make it into the simplest form

= 3/8 , now we can no longer divide it, so its the simplest form

Answer:

x = 6

Step-by-step explanation:

11 = 1/2x + 8

-> Move 8 to left side

11 - 8 = 1/2x

3 = 1/2x

->We can switch sides so 1/2x is on the left and 3 is on the right

1/2x = 3

x = 3 x 2/1

x = 6

Answer:

x=6

Step-by-step explanation:

11=1/2x+8

subtract 8 from both sides first.

11-8=1/2x

3=1/2x

Now, multiply by 2 or divide by 1/2 from both sides (your pick)

3*2=x

Therefore the answer is x=6

Answer:

(12, 10 )

Step-by-step explanation:

Given the endpoints of a segment (x₁, y₁ ) and (x₂, y₂ ) then midpoint is

[ [tex]\frac{1}{2}[/tex](x₁ + x₂ ), [tex]\frac{1}{2}[/tex](y₁ + y₂ ) ]

let (x, y) be the coordinates of the other endpoint then use the midpoint formula and equate to the coordinates of the midpoint.

(x₁, y₁ ) = (- 2,  6) and (x₂, y₂ ) = (x, y), then

[tex]\frac{1}{2}[/tex](- 2 + x) = 5 ( multiply both sides by 2 )

- 2 + x = 10 ( add 2 to both sides )

x = 12

[tex]\frac{1}{2}[/tex](6 + y) = 8 ( multiply both sides by 2 )

6 + y = 16 ( subtract 6 from both sides )

y = 10

Thus

The other endpoint is (12, 10 )

Answer:

(12, 10 )

Step-by-step explanation:

Given the endpoints of a segment (x₁, y₁ ) and (x₂, y₂ ) then midpoint is

[ (x₁ + x₂ ), (y₁ + y₂ ) ]

let (x, y) be the coordinates of the other endpoint then use the midpoint formula and equate to the coordinates of the midpoint.

(x₁, y₁ ) = (- 2, 6) and (x₂, y₂ ) = (x, y), then

(- 2 + x) = 5 ( multiply both sides by 2 )

- 2 + x = 10 ( add 2 to both sides )

x = 12

(6 + y) = 8 ( multiply both sides by 2 )

6 + y = 16 ( subtract 6 from both sides )

y = 10

Thus

The other endpoint is (12 ,10)

Answer:

46.7 degrees.

Step-by-step explanation:

According to the given information, triangle DEF is a right triangle with angle F as the right angle. We are trying to find the measure of angle D.

We are given the opposite side length (6.4 feet) and the hypotenuse (8.8 feet), so we can use sine to calculate the angle measure (SOH = Sine; Opposite over Hypotenuse).

sin(D) = 6.4 / 8.8

sin(D) = 64 / 88

sin(D) = 8 / 11

D = arcsin(8 / 11)

D = arcsin(0.72727272727272727272727273)

D = 46.65824177.

So, the measure of angle D is about 46.7 degrees.

Hope this helps!

Answer: The LCM of 3 and 8 is 24.

Step-by-step explanation:

So far, the given two numbers are 3 and 8. We have to find the LCM ( Least Common Multiple ) of 3 and 8, not the GCF ( Greatest Common Factor). That means, we have to find the smallest multiple of 3 and 8.

Let's try it out.

3 times 1 = 3. Is that a multiple of eight? No.

3 times 2 = 6. Is that a multiple of eight? No.

3 times 3 = 9. Is that a multiple of eight? No.

3 times 4 = 12. Is that a multiple of eight? No.

3 times 5 = 15. Is that a multiple of eight? No.

3 times 6 = 18. Is that a multiple of eight? No.

3 times 7 = 21. Is that a multiple of eight? No.

3 times 8 = 24. Is that a multiple of eight? YES!

Now try it out for 8.

8 times 1 = 8. Is that a multiple of three? No.

8 times 2 = 16. Is that a multiple of three? No.

8 times 3 = 24. Is that a multiple of three? YES!

So now that 24 occurs in the list for both of them, it is the LCM because there are no other numbers that come before it that are multiples of both 3 and 8.

The LCM of 3 and 8 is 24.

The LCM (Least Common Multiple) of two numbers is the smallest number that is a multiple of both numbers.

To find the LCM of 3 and 8, we can use the following steps:

1. List out the multiples of 3 until we reach a number that is divisible by 8.

2. List out the multiples of 8 until we reach a number that is divisible by 3.

3. The smallest number that appears in both lists is the LCM of 3 and 8.

The multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27...

The multiples of 8 are 8, 16, 24, 32 ...

The smallest number that appears in both lists is 24. Therefore, the LCM of 3 and 8 is 24.

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Answer:

The correct option is;

Non of the above

Step-by-step explanation:

Option A is correct when a + b·i is a complex number, the real part = a and the imaginary part = b

Option B.) For the complex number,  a + b·i, a and b are real number

Option C) When a number, a + b·i is a complex number, then b ≠ 0

Option D) Whereby real numbers are numbers of the form  a + b·i, where b = 0, therefore, a real number is a complex number with the imaginary part = 0 and every real number is a complex number.

[tex]4^5\cdot4^7=4^{5+7}=16,777,216[/tex].

Hope this helps.

Answer:

david drove faster than dan bcz

Answer:

David drove faster

Step-by-step explanation:

Dan - 60m/5h = 12 miles an hour

David - 75m/6h = 12.5 miles an hour

Therefore David drove faster.

Answer:

A reasonable range for the function is [tex][0, +\infty)[/tex].

Step-by-step explanation:

Revenues are positive quantities since Andrea is looking for money after expenses, so that reasonable range of the revenue function is [tex][0, +\infty)[/tex].

Answer:

The square root property requires a quantity squared by itself on one side of the equation. the only quantity squared is x, so divide both sides by 2 before applying the square root property.  

Step-by-step explanation:

To solve the given equation of 2x^2=16, the first step is to divide both sides by two to isolate the variable x. This leaves you with x^2=16. the next step would be to use the square root property, leaving the equation as x= 16 squared. then solve for x by squaring 16. This leaves it as x= 4 or -4  

Answer:

A

Step-by-step explanation:

Just took the test

Answer:

EM = 42

Step-by-step explanation:

If M is the midpoint, then we can say that EM = MG.

So now, I can set up an equation:

7x = 8x - 6

And solve for x.

7x = 8x - 6

 -8x     -8x

-x = -6

x = 6

Since we are trying to find EM, and EM is 7x, we can multiply x by 7 to find our answer:

7x

7(6)

42

EM = 42

Answer:

The constant of proportionality is 1/9

Answer:

The answer is actually 3

Step-by-step explanation:

The two triangles are drawn to scale, so we can use the scale factor of \maroonD{1\dfrac{1}{2}}1

2

1

​

start color #ca337c, 1, start fraction, 1, divided by, 2, end fraction, end color #ca337c to find \greenD{x}xstart color #1fab54, x, end color #1fab54.

Hint #22 / 3

\begin{aligned} [\blueD{\text{length on A}}] \cdot [\maroonD{\text{scale factor}}] &= [\greenD{\text{length on B}}]\\\\ \blueD{2}\cdot \maroonD{1\dfrac{1}{2}}&=\greenD{x} \\\\ \greenD{3}&=\greenD{x} \end{aligned}

[length on A]⋅[scale factor]

2⋅1

2

1

​

3

​

=[length on B]

=x

=x

​

which equals 3

Answer:

16.81

Step-by-step explanation:

That's basically just 4.1×4.1

Answer:

x = 3

Step-by-step explanation:

7/x - 3/(2x) + 7/6 = 9/x

x(7/x  - 3/(2x)  + 7/6) = x(9x)

x*7/x  - 3*x/(2x) + x*7/6 = x*9x

7 - 3/2 + 7x/6 = 9

7x/6 = 9 - 7 + 3/2

7x/6 = 2 + 3/2

7x/6 = 12/6 + 9/6

7x = 12+9

7x = 21

x = 21/7

x = 3

probe:

7/3 - 3/(2*3) + 7/6 = 9/3

14/6 - 3/6 + 7/6 = 3

(14 - 3 + 7) / 6 = 3

18/6 = 3