3A rectangular prism net is shown.3 in1 in11 in1 in1 in1 in33331 inWhat is the surface area of the net?143+3+3+3= 6 + 6 = 121212= 14

The unit rate for each situation is $5.00 for 1 pound, $8 for 1 pound, $65 for 1 pound, $2 for 1 pound, $18 for 1 pound, $108 for 1 pound

What is unit rate and how to compute it?

Unit rate is the rate for 1 unit and to compute the unit rate we divide the total price by the total number of elements

We are given certain price we have to find there unit rate

a) $45 for 9 pound

Divide both sides by 9 to find the unit rate

we get $5 for 1 pound

a) $24 for 3 pound

Divide both sides by 3 to find the unit rate

we get $8 for 1 pound

a) $390 for 6 pound

Divide both sides by 6 to find the unit rate

we get $65 for 1 pound

a) $42 for 21 pound

Divide both sides by 21 to find the unit rate

we get $2 for 1 pound

a) $180 for 10 pound

Divide both sides by 10 to find the unit rate

we get $18 for 1 pound

a) $864 for 8 pound

Divide both sides by 8 to find the unit rate

we get $108 for 1 pound

Hence the unit rates are for each situation is $5.00 for 1 pound, $8 for 1 pound, $65 for 1 pound, $2 for 1 pound, $18 for 1 pound, $108 for 1 pound

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Answer:

Given that,

To find the shaded area in the given figure.

Explanation:

Area of the shaded region is Area of the rectangle - Area of the semicircle

we get,

Area of the semicircle:

Diameter= 8 m

Radius= 8/2= 4 m

Area of the semicircle is,

The approximate value of pi is 3.14

Substitute the value we get,

Area of the rectangle is,

Area of the shaded region is,

The best estimate for the area of the shaded region is 149.76 m^2.

Answer: 4.5

Step-by-step explanation:

\(\frac{-36}{-8} = \frac{-9}{-2} = 4.5\)

Answer:

The answer is 132 square units

Step-by-step explanation:

Cutting the shape

we have two trapeziums

A=(area of small +Area of big)Trapezium

A=1/2(3+9)8 + 1/2(9+12)8

A=1/2×12×8 + 1/2×21×8

A=12×4 + 4×21

A=48+84

A=132 square units

Answer:

hdhdhdhrheheheheheehhdhdududueueehheb

Answer:

b. 1.69

Step-by-step explanation:

So to solve this problem we need to simply find the percentage increase from 11.8 to 12 =>

to solve this we would do 12 - 11.8 = 0.2 --> 0.2 is our "difference in the increase" -->

now we divide this by our amt. which is 11.8 --> 0.2/11.8 = approx. 0.0169

--> finally multiply that by 100 which is simply moving the decimal places 2 places right giving us the final answer of 1.69

Hope this helps!

Answer:

B. 1.69%

Step-by-step explanation:

If Ross calculated the countertop for a laundry room to be 12 square feet but turns out to be actually 11.8 square feet, we need to find out how much percentage error Ross has made!

In order to solve this question,

1) We need to create proportions:

Ross' calculations              x

______________ =   _________

   actual area                   100

x represents the percentage error.

100 is the total percentage.

2) Now we plug in the numbers:

We plug in 12 for Ross' calculations. We plug in 11.8 for the actual area. So, it will look like this:

   12                x

______ = _______

   11.8           100

3) Time for cross multiplication:

12 times 100 is 1,200

11.8 times x is 11.8x

So,

1,200 = 11.8x

4) Now we divide:

1,200 divided by 11.8 equals to 101.69 %

5) We are not done! We still have to subtract:

101.69

-100.00

_______

    1.69

Finished!!

Our answer is 1.69%, which is B.

Hope this was helpful !!!

y=-2x+5 is the slope-intercept equation for a line that goes through the point (4,-3) and 5 is the value of b.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

We have to find the slope-intercept equation for a line that goes through the point (4,-3)--with a slope of -2

m=-2

Now let us find the y intercept

-3=-2(4)+b

-3=-8+b

-3+8=b

5=b

Hence, y=-2x+5 is the slope-intercept equation for a line that goes through the point (4,-3) and 5 is the value of b.

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Answer:

Step-by-step explanation:

The formula for the volume of a cone is:

V = (1/3)πr^2h

where V is the volume of the cone, r is the radius of the base, and h is the height of the cone.

Substituting the given values, we have:

V = (1/3)π(10 mm)^2(6 mm)

V = (1/3)π(100 mm^2)(6 mm)

V = (1/3)π(600 mm^3)

V = 200π mm^3

Using a calculator to approximate π to 3.14, we get:

V ≈ 628.32 mm^3

Therefore, the answer is O 628 mm³.

The positive square root of 57.27 is approximately 7.5726, with further decimal places available through iterative approximation methods.

To find the positive square root of the number 57.27, we can use a calculator or mathematical operations.

Taking the square root of a number involves finding a value that, when multiplied by itself, gives the original number. In this case, we want to find the value that, when squared, equals 57.27.

Using a calculator, we can find the square root of 57.27 as approximately 7.5726. However, it's important to note that this is an approximation and may not be completely accurate due to rounding errors.

If we want to find a more precise answer manually, we can use iterative approximation methods. One such method is the Newton-Raphson method, which involves repeatedly refining an initial guess.

Starting with an initial guess of, let's say, 7, we can use the formula:

x(n+1) = (x(n) + (57.27/x(n)))/2,

where x(n) is the current approximation and x(n+1) is the next approximation. Iterating this formula a few times will converge to a more accurate value.

After a few iterations, we find that the positive square root of 57.27 is approximately 7.572615. This value can be further refined by performing more iterations or using more advanced numerical methods.

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The answer you will be dividing by is 4. hope this helps

Answer:

4731

Step-by-step explanation:

4389+342=4731

pls don't forget to mark as brainliest

The inverse function of f(x) = 3x + 5 is given as follows:

C. p(x) = 1/3x - 5/3.

The function in the context of this problem is defined as follows:

f(x) = 3x + 5.

To obtain the inverse function, first we must exchange the variables x and y, hence:

y = 3x + 5

x = 3y + 5.

Now we must isolate the variable y, hence:

3y = x - 5

y = (x - 5)/3.

p(x) = 1/3x - 5/3.

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The relative price of ingredient A is 158, ingredient B is 131.1 and ingredient C is 96.

In the given question we have to compute the price relatives for the three ingredients A, B and C.

Now finding the relative price using the formula.

Relative Price(RP) = Ending Cost(E)/Beginning Cost(B) *100

Now from the given table;

Ingredient Beginning(B)      Ending(E)            E/B                 E/B*100

A                     2.50                3.95                    1.58                   158

B                     8.75                9.90                    1.131                   131.1

C                     0.99                0.95                    0.96                   96

Hence, the relative price of ingredient A is 158, ingredient B is 131.1 and ingredient C is 96.

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The right question is

A chemical company produces a special industrial chemical that is a blend of three chemical ingredients. The beginning-year cost per pound, the ending-year cost per pound, and the blend proportions follow. (Round your answers to the nearest integer.)

                    Cost per Pound ($)

Ingredient Beginning Ending Quantity (pounds) per 100

                                                                     Pounds of Product

A                     2.50            3.95                   25

B                     8.75            9.90                   15

C                     0.99            0.95                   70

Compute the price relatives for the three ingredients.

Item Price Relative

A

B

C

The required container of fries costs $1.20, as er the given condition

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Let's call the cost of a container of fries "x".

We know that 4 burgers cost 4 * $3.20 = $12.80.

So the total cost of burgers and fries is $12.80 + 3x = $16.40.

Subtracting the cost of the burgers from both sides:

3x = $16.40 - $12.80 = $3.60

Dividing both sides by 3:

x = $3.60 / 3 = $1.20

So each container of fries costs $1.20.

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The asymptotes of the graph of \(f(x) = \frac{5}{x - 1}\) are as follows:

In this problem, the function is:

\(f(x) = \frac{5}{x - 1}\)

For the vertical asymptote, we have that:

\(x - 1 = 0 \rightarrow x = 1\).

For the horizontal asymptote, we have that:

\(y = \lim_{x \rightarrow \infty} f(x) = \frac{5}{\infty - 1} = 0\).

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Answer:

When \(x=0\), the value of f(x) is 1.

Each time x increases by 1, f(x) is multiplied by 4.

Equation of function: \(f(x)=1\cdot 4^x\)

Step-by-step explanation:

The detailed explanation is attached below.

The pair of numbers that yields the maximum product when their sum is 24 is (12, 12), and the maximum product is 144. The corresponding quadratic function is P(x) = -x^2 + 24x, and the parabola opens downwards.

To find a pair of numbers whose sum is 24 and whose product is as large as possible, we can use the concept of maximizing a quadratic function.

Let's denote the two numbers as x and y. We know that x + y = 24. We want to maximize the product xy.

To solve this problem, we can rewrite the equation x + y = 24 as y = 24 - x. Now we can express the product xy in terms of a single variable, x:

P(x) = x(24 - x)

This equation represents a quadratic function. To find the maximum value of the product, we need to determine the vertex of the parabola.

The quadratic function can be rewritten as P(x) = -x^2 + 24x. We recognize that the coefficient of x^2 is negative, which means the parabola opens downwards.

To find the vertex of the parabola, we can use the formula x = -b / (2a), where a = -1 and b = 24. Plugging in these values, we get x = -24 / (2 * -1) = 12.

Substituting the value of x into the equation y = 24 - x, we find y = 24 - 12 = 12.

So the pair of numbers that yields the maximum product is (12, 12). The maximum product is obtained by evaluating the quadratic function at the vertex: P(12) = 12(24 - 12) = 12(12) = 144.

Therefore, the maximum product is 144. This quadratic function has a maximum value because the parabola opens downwards.

To graph the function, you can plot several points and connect them to form a parabolic shape. Here is an uploaded image of the graph of the quadratic function: [Image: Parabola Graph]

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Answer: 540, 541, 542

Step-by-step explanation:

Three consecutive integers are basically three numbers in a row. For example, 4, 5 and 6 are three consecutive integers.

Let x represent the 1st integer:

2nd integer: x + 1

3rd integer: x+2

Set them equal to 1623:

x+x+1+x+2=1623

3x+3=1623

3x=1620

x=540

Calculate the value of the integers:

1st integer = 540

2nd integer: (540) + 1 = 541

3rd integer: (540) + 2 = 542

Answer:

656×1000

Step-by-step explanation:

Answer:

a and e

Step-by-step explanation:

To find the value of x, we can set the two angle measures equal to each other and solve for x.

Given:

mZA = (4x - 2)°

mZB = (6x - 20)°

Setting them equal to each other:

4x - 2 = 6x - 20

Now, we can solve for x:

4x - 6x = -20 + 2

-2x = -18

Dividing both sides by -2:

x = -18 / -2

x = 9

Therefore, the value of x is 9.

Answer:

The answer is 9.

Step-by-step explanation:

We need to use the fact that the sum of the angles in a triangle is 180 degrees. Let A, B, and C be the three angles in the triangle. Then we have:

mZA + mZB + mZC = 180°

Substituting the given values, we get:

(4x - 2)° + (6x - 20)° + mZC = 180°

Simplifying the left side, we get:

10x - 22 + mZC = 180°

Next, we use the fact that angles opposite congruent sides of a triangle are congruent. Since we know that segment AC and segment BC are congruent, we have:

mZA = mZB

Substituting the given values and simplifying, we get

4x - 2 = 6x - 20

Solving for x, we get:

x = 9

Therefore, the value of x is 9.

Answer:

x = − 0.07983193

Step-by-step explanation:

\(\bf\huge Question:\)

\(4c-3x=2y - 3\)

We need to find the value of c in the given Equation.

\(\bf\huge \: Solution:\)

\( \sf \longmapsto \: 4c-3x=2y - 3\)

\( \boxed{\bf Add \: 3x \: to \: both \: sides:}\)

\(\sf \longmapsto \: 4c - 3x + \red{ 3x} = 2y - 3 + \red{ 3x}\)

\( \underline{\bf \: \bf On \:Simplification :}\)

\(\sf \longmapsto \: 4c = 2y - 3 + 3x\)

\(\sf \longmapsto4c = 3x + 2y - 3\)

\( \boxed{\bf \: Divide \: both \: side s \: by \: 4 :} \)

\(\sf \longmapsto \: \dfrac{4c}{ \red4} = \dfrac{3x + 2y - 3}{ \red4} \)

\(\underline{ \bf \: \bf On \:Simplification :}\)

\( \sf \longmapsto \: c = \dfrac{3}{4} x + \dfrac{1}{2} y + \dfrac{ - 3}{4} \)

______________________________________

\( \underline{\bf \: Henceforth, The \: value \: of \: c \: is :} \)

\( \boxed{\red{\huge \tt{{c}}= \dfrac{3}{4} x + \dfrac{1}{2} y + \dfrac{ - 3}{4} }}\)

Or it can also be rewritten as :

\( \boxed{\red{\huge \tt \: c = \dfrac{1}{2} y - \dfrac{3}{4} + \dfrac{3}{4} x}}\)

Let's assume x gallons of milk containing 8% butterfat and y gallons of milk containing 2% butterfat are used.

The total amount of milk is x + y gallons, and we want it to be equal to 258 gallons.

To determine the amount of butterfat in the mixture, we can multiply the volume of each type of milk by its respective butterfat percentage and sum them up.

For milk containing 8% butterfat, the amount of butterfat is 0.08x (8% is equivalent to 0.08 as a decimal).

For milk containing 2% butterfat, the amount of butterfat is 0.02y (2% is equivalent to 0.02 as a decimal).

Since we want the final mixture to contain 7% butterfat, we can set up the following equation:

0.08x + 0.02y = 0.07(258)

Simplifying the equation, we have:

0.08x + 0.02y = 18.06

To solve for x and y, we need another equation. Since the total amount of milk is x + y = 258, we can rearrange it to y = 258 - x.

Substituting this value into the equation above, we get:

0.08x + 0.02(258 - x) = 18.06

Solving this equation will give us the values of x and y, which represent the gallons of milk containing 8% butterfat and 2% butterfat, respectively, needed to obtain the desired 258 gallons.

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Explanation:

From the question , we will utilize the concept of isosceles triangles

Concept:

The isosceles triangle theorem states that the angles opposite to the equal sides of an isosceles triangle are equal in measurement. So, in an isosceles triangle △ABC where AB = AC, we have ∠B = ∠C.

From the steps, we can see that

Hence,

We can cconclude that the final answer is

OPTION A is the correct answer

Answer:

EC = BC;  property of isosceles triangle

Hope this helps!

Step-by-step explanation:

Answer:

Step-by-step explanation:

The total number of choices is 6 * 6 * 6 * 6 = 1296

You have one chance to get it right

That's 1/1296 = 0.00077

Answer:

1/1296

Step-by-step explanation:

The probabilty of getting one of the dials correct is 1/6 because there are 6 letters on each dial. So if there are 4 dials, then the chance is multiplied by itself 4 times (1/6 * 1/6 *1/6 * 1/6). 1/6 * 1/6 *1/6 * 1/6 is equal to 1/1296.

Answer:

5²+1×2 - 4(4) = 11

Step-by-step explanation:

up top when it says a = 4

and b = 5 that's means b and a are those numbers.

then while 4 is touching a that means to multiply. And the 2 up top of b means 5×5, then do order of operations to find the answer. If you dont you'll get it WRONG.

Order of operations is this

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

Drug needed: 38.5 milligrams

Drug per tablet: 19.25 milligrams

We have to write an equation.

The amount of drug in each tablet multiplied by the number of tablets (x) must be equal to the amount of drug needed.

19.25 x = 38.5

Solve for x:

x = 38.5/19.25

x = 2

The nurse has to administer 2 tablets.