40 oz= ___pounds
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The solution of the equation for x is x = 4y - 12

Inverse functions are the opposite of an original equation. This means that for a function f(x), the inverse of the function f(x) is f-(x); it also represents the opposite function

The function y is given as

y = 1/4x + 3

As a general rule, we start by writing y as a variable (say y = f(x)).

So, the equation of the function becomes

y = 1/4x + 3

The next step is to switch/swap the positions of x and y in the above equation y = 1/4x + 3 (in this case, it is not necessary)

So, the equation remains the same

y = 1/4x + 3

The next step is to make x the subject of the formula in the above equation y = 1/4x + 3

The equation becomes

1/4x = y - 3

This is done by subtracting 3 from both sides of the equation.

So, we have:

1/4x = y - 3

Multiply through the sides of the equation by 4

So, we have

x = 4y - 12

Express as an inverse function

f-1(x) = 4x - 12 --- this is not  compulsory

So, the solution of the equation for x is x = 4y - 12

Hence, the rewuired solution of the equation for x is x = 4y - 12

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Answer:

where is the question bro?

Step-by-step explanation:

The length of the radius when the total surface area of a right circular cylinder is 196 cm² is 7√π cm.

It should be noted that the total surface area will be calculated thus,:

= 2πr(h + r)

It was stated that the radius and the.lebgth are the same and that the area is 196. This will be:

2πr(r + r)

= 2πr(2r)

= 4πr²

Therefore, 4πr² = 196

πr² = 198/4

πr² = 49

πr² = 49

r² = 49/π

r = 7√π

Therefore, the length of the radius when the total surface area of a right circular cylinder is 196 cm² is 7√π cm.

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Step-by-step explanation:

Answer:

The number of students increased by 40%

Therefore the value of x is 2.

Given 2²ˣ ⁺ ¹ + 2ˣ ⁺ ² = 12 * 2ˣ

2²ˣ ⁺ ¹ + 2ˣ ⁺ ² = 12 * 2ˣ

We can write this as follows

aˣ ⁺ ⁿ = aˣ * aⁿ

2²ˣ * 2 + 2ˣ * 2² = 12 * 2ˣ

2ˣ * 2ˣ * 2 +  2ˣ * 2² = 12 * 2ˣ

By taking common terms aside we get

2ˣ * 2 (2ˣ + 2) = 12 * 2ˣ

By canceling the like terms we get

2ˣ + 2 = 6

2ˣ = 6 - 2

2ˣ = 4

2ˣ = 2²

∴ x = 2

Therefore the value of x is 2.

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The required change in altitude is 900ft

From the question, we are given the following parameters

Initial height =5400ft

Final height = 6300ft

Determine the change in altitude

Change in altitude = Final - Initial

Change in altitude  = 6300ft - 5400ft

Change in altitude = 900ft

Hence the required change in altitude is 900ft

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Answer:

it's 88

Step-by-step explanation:

a century = 100

so 100-12 =88

Slope m2=90°

The slope of a line, also known as the gradient is defined as the value of the steepness or the direction of a line in a coordinate plane. Slope can be calculated using different methods, given the equation of a line or the coordinates of points lying on the straight line.

given that, since slope is a measure of the angle of a line from the horizontal, and since parallel lines must have the same angle, then parallel lines have the same slope — and lines with the same slope are parallel.

so we can conclude since m1=90° the m2 is also = 90°

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Answer:

M2 slope = 90°

Step-by-step explanation:

The value of the steepness or the direction of a line in a coordinate plane is referred to as the slope of a line, also known as the gradient. Given the equation of a line or the coordinates of points situated on the straight line, slope can be determined using a variety of approaches.

Given that parallel lines must have the same angle from the horizontal and that slope is a measurement of that angle, parallel lines must therefore have the same slope, therefore lines with the same slope are parallel.

We can then deduce that if m1=90°, m2 must also be 90°.

Taking into account the scientific notation, the result of the sum is 2.56197×10¹⁹.

Scientific notation is a quick way to represent a number using powers of base ten.

The numbers are written as a product:

a×10ⁿ

where:

You want to add the following two numbers in scientific notation:

When the numbers to be added do not have the same base 10 exponent, the base 10 power with the highest exponent must be found. In this case, the highest exponent is 19.

Then all the values ​​are expressed as a function of the base 10 exponent with the highest exponent. In this case: 3.197×10¹⁷= 0.03197×10¹⁹

Taking the quantities to the same exponent, all you have to do is add what was previously called the number "a". In this case:

2.53×10¹⁹ + 0.03197×10¹⁹= (2.53 + 0.03197)×10¹⁹= 2.56197×10¹⁹

Finally, the result of the sum is 2.56197×10¹⁹.

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Using proportions, it is found that:

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

Without the estimate, the number of gallons used is:

1211/29 = 41.76 gallons.

Hence the cost is:

41.76 x 3.10 = $129.46.

With the estimate, the number of gallons used is:

1200/30 = 40 gallons.

Hence the cost is:

40 x 3 = $120.

For the estimation, the mileage was rounded up while the cost was rounded down, hence the estimated cost is less than the actual cost.

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y < -14ory > 0

Rearrange variables to the left side of the equation: 3|y+7| >5+16

Calculate the sum or difference: 3 |y+7| >21

Divide both sides of the inequality by the coefficient of the variable: |y+7| >[tex]\frac{21}{3}[/tex]

Reduce the fraction:  |y+7|>7

Convert the absolute inequality to standard inequality:  y+7 >7ory +7 < -7

:y < -14ory > 0

Find the union: y < -14ory > 0

A variable in mathematics is a sign and placeholder for any mathematical object (from the Latin variabilis, "changeable"). A variable can specifically represent a number, a vector, a matrix, a function, its argument, a set, or one of its elements.

A variety of issues are resolved by algebraic calculations that treat variables like explicit integers in a single computation. The quadratic formula, for instance, can be used to solve any quadratic equation by exchanging the variables in the quadratic formula for the numerical values of the coefficients in the equation.

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Answer:

10720.823

Step-by-step explanation:

largest number is 10743.93 and the smallest number is 23.107. subtracting 23.107 from 10773.93 to get 10743.93

Answer: 11

Step-by-step explanation:

f(t)=2(t)-3

f(t)=2t-3

f(7)=2(7)-3

f(7)=14-3

f(7)=11

Answer:

A. 5/4n - 3/8

Step-by-step explanation:

-5n/2 + 1/4 + 15/4n - 5/8

15/4n - 10/4n + 2/8 - 5/8

5/4n - 3/8

Step-by-step explanation:

u first have to simplify a bit so u expand giving u -2x+6 less than 4 u then group like terms giving u -2x less than 4-6 amounting to -2x less than-2 u then divide both side by negative two to make x stand alone giving u positive 1 when u get Yr answer because u divided by a negative answer the sign changes to greater than

It should be noted that the correct matching of the expressions illustrated will be:

a. (2^3)(2^2) = 32

b. 2^(-2) x 2^(-3) = 1/32

C. (2^3) x (2^-3) = 1

d. (2^2)^3 = 64

e. 2^2/2^3 = 1/2

f. 2^3/2^2 = 2

It should be noted that (2^3)(2^2) will be:

= 2³ × 2²

= 8 × 4

= 32

b. 2^(-2) x 2^(-3) will be illustrated as:

= 1/4 × 1/8

= 1/32

C. (2^3) x (2^-3)

= 8 × 1/8

= 1

d. (2^2)^3

= 4³

= 64

e. 2^2/2^3

= 4 / 8

= 1/2

f. 2^3/2^2

= 2³ / 2²

= 8 / 4

= 2

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The probability of randomly selecting someone who does not believe that statistics teachers know the true meaning of life is 31.9%

The given parameters are

P = 68.1%

The above probability represents the probability that Americans say they believe that statistics teachers know the true meaning of life

The complement probability is

Q = 1 - P

This gives

Q = 1 - 68.1%

Evaluate

Q = 31.9%

Hence, the probability of randomly selecting someone who does not believe that statistics teachers know the true meaning of life is 31.9%

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Answer:

In short, the difference between adjusting entries and correcting entries is that adjusting entries bring financial statements into compliance with accounting frameworks, while correcting entries fix mistakes in accounting entries.

Difference between mixed farming and mixed cropping

The expression to show the total number of sport cards that Adele bought will be Bb +5d.

From the information, it was stated that Adele bought B packs of baseball cards and five packs of book bar cards right in expression that shows how many packs of sport cards Adele bought in all.

Let the number of baseball = b

Let the back cards =d

Therefore, the expression to show the number of sport cards will be:

= (B × b) + (5 × d)

= Bb +5d

Therefore, the expression to show the total number of sport cards that Adele bought will be Bb +5d.

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Adele bought B packs of baseball cards and five packs of book bar cards right in expression that shows how many packs of sport cards Adele bought in all. Write an expression for this

The complete paragraph is shown:

The complex number - 2 + i 8 has modulus of 2√17. When - 2 + i 8 is multiplied by 5, the modulus of the product of 10√17.

Multiplying a complex number by a real number is a scalar of a complex number. The quadrant location of the complex number and its product with the real number are the same.

In this problem we have a paragraph, in which we must fill the blanks with the results of operations with complex numbers. The modulus of a complex number is found by using the Pythagorean theorem:

r = √[(- 2)² + 8²]

r = √(4 + 64)

r = √68

r = 2√17

And the product between the real number and the complex number is done by distributive property:

5 · (- 2 + i 8)

5 · (- 2) + i (5 · 8)

- 10 + i 40, whose modulus is 10√17.

Graphically speaking, the scalar of a complex number remains in the same quadrant of the complex plane.

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The measure of the largest angle is 84°

It should be noted that the total angles on a triangle is 180°.

Let the smallest angle = x

Second angle = x + 40

Third angle = 3x

Therefore 3x + x + x + 40 = 180

5x = 180 - 40

5x = 140

x = 140/5

x = 28

Therefore, the largest angle will be:

= 3x

= 3 × 28°

= 84°

Therefore, the measure of the largest angle is 84°

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Answer:

Step-by-step explanation:

4.275

112/5 / 22/3

Answer:

y = -1/6x - 7/3

Step-by-step explanation:

slope = rise/run

(y2 - y1) / (x2 - x1)

ordered pairs: (-2,-2) and (4,-3)

-3 - (-2) = -1

4 - (-2) = 6

-1/6 = -1/6

m = -1/6

find b

take one ordered pair

y = mx + b

-3 = (-1/6)(4) + b

-3 = -4/6 + b

-3 + 4/6 = -2 2/6  

-2 2/6 = -14/6

-14/6 = -7/3

b = -7/3

Answer: The answer for this would y=-2x+b in slope form and y=-2x+3 in standard form.

Step-by-step explanation:

First we have to figure out what the slope is and you should this formula y2-y1/x2-x1 you plug in the coordinates and your equations should look like this -3-5/3-(-1)= -8/4 which simplified into -2. In standard form you put in the same equation but plug in the coordinates with the slope so it would look like this. -3=-2(3)+b and you would get 3 as b and then you substitute it in the equation again y=mx+b and it should like this in standard form y=-2x+3.

Answer:

YES!

Step-by-step explanation:

ratios are like fractions, and fractions are basically division problems. SO, if you divide 4 by 6 you get .66666666, and if you divide 8 by 12 you ALSO get .66666666, soooooo yes they are equivalent!

The cost per passenger for no wind conditions is $199 and 33 cents

Ground speed, 'x' = 500 ± 0 = 500 miles/h;

Cost per passenger is given by;

C(x) = 100 + x/15 + 33000/x;

Put x = 500;

C(500 miles/h) = 100 + 500/15 + 33000/500

C(500 miles/h) = $199.33

The cost per passenger for no wind conditions = $199 and 33 cents;

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If a naval submarine was operating 310 feet below the surface of the ocean. To pass above an underwater mountain, or seamount, it rose 165 feet then 145 is the position of the submarine relative to the surface of the ocean now.

Two expressions with an equal sign is called as Equation.

If a naval submarine was operating 310 feet below the surface of the ocean. To pass above an underwater mountain, or seamount, it rose 165 feet. we need to find the position of the submarine relative to the surface of the ocean now.

The submarine initial position=310 feet.

To pass above an underwater mountain, or seamount, it rose =165 feet.

The position of submarine is

310-165

=145 feet.

Therefore  the position of the submarine relative to the surface of the ocean now is 145 feet.

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Answer:

85

Step-by-step explanation:

use the largest digit in the tens place, that is 8

use the next largest digit in the units place, that is 5

the largest 2- digit number is 85

(ii)

514 is the closest to 500 ( 14 units away )

485 is also close ( but 15 units away )

so 514 is the closest to 500

Answer: i) 85 & ii) 514

Step-by-step explanation:

Here, 8>5>4>1

So,

i) 85

ii) 514

Answer:

6/20, 9/30, 12/40

Step-by-step explanation:

Original fraction: 3/10

How I got: 6/20

3 x 2 = 6

10 x 2 = 20

How I got: 9/30

3 x 3 = 9

10 x 3 = 30

How I got: 12/40

3 x 4 = 12

10 x 4 = 40