What is the surface area of the prism? 1,440 square inches 1,584 square inches 1,872 square inches 2,160 square inches

The propagated error in the measurement of the side of the cube is 0.001.

We know that,

the volume of a cube is dependent on the length of the edge, s, which is given by the equation,

V = [tex]s^{3}[/tex].

With this we determine that the given cube has an edge of 27 = [tex]s^{3}[/tex]

⇒ s = 3 inches.

Now we can acquire the differential of the equation for the volume of the cube with the following equations.

V = [tex]s^{3}[/tex]

dV = d([tex]s^{3}[/tex])

dV = 3[tex]s^{2}[/tex] ds

We have given that volume of the cube is 0.027.

That is dV = 0.027 and s = 3

we simply plug in the given and then solve for ds to determine the error in the measurement of the edge of the cube.

dV = 3[tex]s^{2}[/tex] ds

0.027 = 3(3)²ds

0.027 = 27ds

0.001 = ds

Therefore, there is an error in measurement of the edge of the cube up to 0.001 inches.

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b. The slope is  - 400. This means that the helicopter descends 400 ft each minute. The slope is 400. This means that the helicopter ascends 400 ft each minute.

Given data :

This situation is mathematically represented as a line and slope.

Points  (0, 10,000) and (15, 4000).

We know slope(m) = (y₂ - y₁)/(x₂ - x₁).

Slope(m) = (4000 - 10000)/(15 - 0).

Slope(m) = - 6000/15.

Slope(m) = - 400.

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Answer: Positive

Step-by-step explanation:

Because the graph doesn't go down so it is not negative. It does not go straight up the y-axis so it does not a slope, it does not go straight through the x-axis so it is not undefined. So the answer is Positive

The amounts of each solution needed are given as follows:

The percentage of paint when 5 liters of the thinned solution are added is of:

62%.

The variables to the system of equations are given as follows:

The painted needs 20 liters, hence:

x + y = 20.

The solution is 65%, hence:

0.5x + 0.75y = 0.65 x 20

0.5x + 0.75y = 13.

From the first equation, we have that:

x = 20 - y.

Hence the amount of liters of the 75% solution is obtained as follows:

0.5(20 - y) + 0.75y = 13.

0.25y = 3

y = 3/0.25

y = 12 liters.

Then the amount of liters of the 50% solution is of:

x = 20 - y = 20 - 12 = 8 liters.

When 5 liters of the 50% solutions are added, there would be 13 liters of the 50% solution, then the percentage would be of:

P = (0.5 x 13 + 0.75 x 12)/25 = 0.62 = 62%.

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Answer:

-------------------------------

Find y:

Answer:x=9/4 nine over 4 for improper fraction I hope this is helpful mark me brainlist if this sounds good

Step-by-step explanation:

7(x-1)=3x+2

Distribute through the parentheses

7x-7=3x+2

Move the variable to the left-hand side and change its sign

7x-7-3x=2

or Move the constant to the right-hand side and change its sign

7x-7-3x=2

Collect like terms

4x=2+7

And then Add the numbers

4x=9

Divide both sides of the equation by 4

x=9/4

Mixed number is 2 1/4

Yes it is reasonable to save that the farm’s glass recycling could pay for their fuel oil.

Recycling is the process of turning trash into new products and materials. This idea frequently takes the recovery of energy from waste materials into account. The capacity of a substance to regain the qualities it had in its initial state determines how recyclable it is.

Both the environment and your community may benefit from recycling. It protects natural resources, minimizes greenhouse gas emissions, cleans up the air and water, and conserves energy.

In this question, there is a benefit to recycling. That is, the farm would be able to save more fuel. Hence it pays for the costs of fuel.

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Answer:

cost of television: $924

Cost of DVD player: $308

Step-by-step explanation:

we make a system of equations

T- television

D- dvd played

t+d=1232

3d=t

3d+d=1232

4d=1232

/4.  /4

d=308

Dvd player costs $308

Now to find television

3(308)=t

924=t

Television costs $924

Hopes this helps please mark brainliest

The position where grouping symbols are to placed in the given mathematical expression so that the value of the expression is 45 is as follows:

9 + 3 × (2² - 1) × 4 = 45

In order to evaluate this expression, we would have to apply the PEMDAS rule, where mathematical operations within the parenthesis (grouping symbols) are first of all evaluated, followed by exponent, and then multiplication or division from the left side of the expression to the right. Lastly, the mathematical operations of addition or subtraction would be performed from left to right.

Based on the information provided, we have the following mathematical expression:

9 + 3 × 2² - 1 × 4

Equating the given mathematical expression to 45, we have:

9 + 3 × 2² - 1 × 4 = 45

9 + 3 × (2² - 1) × 4 = 45

Evaluating the above mathematical expression, we have:

9 + 3 × (4 - 1) × 4 = 45

9 + 3 × 3 × 4 = 45

9 + 36 = 45

45 = 45

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Step-by-step explanation:

a=5( all of them)

b=5 (The last 5, the first two zeroes don't count)

c=2 ( The first two numbers)

Rules:

Non-zero digits are always significant

Any zeros between two significant digits are significant

A final zero or trailing zeros in the decimal portion ONLY are significant

If the zeroes are before a decimal but not in between two significant numbers, they are not significant

The magnitude and the direction angle of the vector are given as follows:

The points that define the vector are given as follows:

m(-15, 16) and n(2,-6).

Considering m as the starting point and n as the endpoint, the vector is defined by the subtraction of the coordinates of n by the coordinates of m, hence:

v = (2 - (-15), -6 - 16) = (17, -22).

The magnitude of the vector is given by square root of the sum of the squares of the components, hence:

|v| = sqrt(17² + (-22)²) = 27.80.

The direction angle is the arc tangent of the division of the vertical component of the vector by the horizontal component of the vector, hence:

θ = arctan(-22/17)

θ = -52.3.

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The two expressions that represent the price of the item purchased after the discount is applied will be 1.2p and p + 0.2p

From the information, store offers a 20% discount to new customers. If the original price of an item is p dollars,

Let the original price = p

The new cost will be:

= p + (20% × p)

= p + 0.2p

= 1.2p

Therefore, the expression will be 1.2p.

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The expression that can be use to represent the amount owned on rental is 0.1x + 25y

Rick rents a car from a company that charges him $25 per day plus 10 cents per mile driven.

The expression that can be use to represent the amount owned on rental can be represented as follows:

let

x = number of miles driven

y = number of days

Let's convert cent to dollars

100 cents  = 1 dollars

10 cents = ?

cross multiply

amount in dollars = 10 / 100 = 0.1 dollars

Therefore,

the expression = 0.1x + 25y

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Answer:

-6.1,-2.5,-0.4,3.4

Step-by-step explanation:

If we used a number line and graphed all the numbers, we could visually see that -6.1 is the farthest from zero followed by -2.5,-0.4 and 3.4. Because we are doing the coldest temperature to warmest and not the other way around the answer would be -6.1,-2.5,-0.4,3.4

Hope this was helpful!

The answer to this question is $11.99 on each pound of shrimp.

How to convert mixed fractions into simple ones?

[tex]a\frac{b}{c} = \frac{ac + b}{c}[/tex] this is the formula to solve the mixed fraction

Total money spent = $38.97

Total pounds of shrimp = [tex]3\frac{1}{4}[/tex]  we will first convert this into simple fraction

lets apply above formula

[tex]3\frac{1}{4} = \frac{3(4)+1}{4} = \frac{13}{4} = 3.25[/tex]

means in simple language drew had 3.25 pounds of shrimp

money spent on each pound of shrimp = [tex]\frac{38.97}{3.25} = $11.99[/tex]

Hence we can conclude that Drew has spent $11.99 per pound of shrimp

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Answer:

(-2,-4)

Step-by-step explanation:

3x+2=-2x-8

+2x.    +2x

5x+2=-8

   -2. -2

5x=-10

/5.  /5

x= -2

y=3(-2)+2

y=-6+2

y= -4

(-2,-4)

Hopes this helps please mark brainliest

Answer:

D

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 3) and (x₂, y₂ ) = (4, 2) ← 2 points on the line

m = [tex]\frac{2-3}{4-(-2)}[/tex] = [tex]\frac{-1}{4+2}[/tex] = - [tex]\frac{1}{6}[/tex]

The statement about the original and transformed triangles that must be true is The triangles are congruent.

Triangles are congruent when they have the same size and shape but face opposite directions. Triangles do not change size or shape as a result of translation and rotation.

This means that if a triangle is translated and then reflected, the result will still be congruent with the first triangle. If all three corresponding sides are equal and all three corresponding angles are equal in measure, two triangles are said to be congruent. These triangles can be moved, rotated, flipped, and turned to look exactly the same. So two triangles are congruent if all of their sides are the same—side, side, side.

In conclusion, the correct option is B.

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The linear equation that will produce a system with no solutions is:

y = 3*(x - 2)

A system of linear equation has no solutions only if the two linear equations are parallel.

And two linear equations are parallel only if the lines have the same slope and a different y-intercept.

Here the given linear equation is:

y = 3x + 6

So the slope is 3 and the y-intercept is 6.

Then another line of the form:

y = 3*x + c

Such that c is different than 6 will be the correct option.

Then here the correct option is the last one:

y = 3*(x - 2)

Expanding we get:

y = 3*x - 6

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Answer:

its b) y = - 3 (x + 6)

Step-by-step explanation:

just did the quiz on edge :)

a) Coordinates of the midpoint: (2,1)

b) Gradient of the line PQ = -2/3

c) n = 13

What is the midpoint  of a line segment?

The midpoint is defined as the point which divides the line segment into two equal halves.

Given P = (-1,3) , Q = (5,-1)

Coordinates of the midpoint are given by

X' = (X1+ X2)/2

Y' = (Y1+ Y2)/2

(X1,Y1 ) and (X2,Y2) are the endpoints of the line segment.

Putting the values in the above formula X' = (-1+5)/2 = 2

Y' = (3-1)/2 = 1

hence midpoint  = (2,1)

The Slope or Gradient of the line is given by = (Y2-Y1)/X2-X1)

= (-1-3)/(5-(-1))

= -4/6 = -2/3

Gradient = -2/3

Distance between 2 points is given by the formula

[tex]\sqrt{(x_{1}-x_{2}) ^{2}+(y_{1}-y_{2}) ^{2} }[/tex]

[tex]\sqrt{(-1-5)^{2}+(3-(-1))^{2} }[/tex]

[tex]\sqrt{6^{2}+4^{2} }[/tex]

= [tex]2\sqrt{13}[/tex]

hence n = 13

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Answer:

In the bottom left corner

Step-by-step explanation:

In the bottom left corner

Chef A has 9 carrots

Chef B has 3 carrots

9 ÷ 3 = 3

Therefore In the bottom left corner is the picture that shows Chef A chopping 3 times as many carrots as Chef B

I hope this helps!

Answer:

Step-by-step explanation: it,s the botnet lath the preamble seas chef A has 3 tames the carrots as chef B

Answer:

x + y = z or any other variable

The angles in the intersected lines are as follows:

When lines intersect angle relationships are formed such as vertically opposite angles, linear angles etc.

Angle a is vertically opposite to angle b.

Vertically opposite angles are congruent.

Therefore,

∠a ≅ ∠b

Hence,

x + 8 = 100(vertically opposite angles)

x = 100 - 8

x = 92

b + x + 8 = 180(sum of angles on a straight line)

b + 92 + 8 = 180

b = 180 - 100

b = 80 degrees.

Hence,

a = 80 degrees

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The dimension of the rectangle is √512m×√512m.

A quadrilateral with four sides, four corners, and four right angles (90°) is called a rectangle. Here, the area of the rectangle is given as 512 square meters. We have to find the dimensions. That is length (l) and breadth (b).

The formula for the area (A) of the rectangle is l×b and the perimeter (P) is 2(l+b). Let's consider length as x and breadth as y.

Then, the area is written as,

[tex]\begin{aligned}xy&=\mathrm{512\;m^2}\\x&=\frac{512}{y}\end{aligned}[/tex]

The perimeter is 2(x+y). Substitute the above x value to the perimeter formula. Then,

[tex]P = 2\left(\frac{512}{y} + y\right)\\P = \frac{1024}{y} + 2y[/tex]

To get the value of y, differentiate the above equation with respect to y.

[tex]\frac{dP}{dy} = -1024y^{-2} + 2[/tex]

Equate this to zero,

[tex]\begin{aligned}y^{-2}&=\frac{2}{1024}\\y^{-2}&=\frac{1}{512}\\y^{2}&=512\\y&=\mathrm{\sqrt{512}\;m}\end{aligned}[/tex]

Substitute y to get x in [tex]x=\frac{512}{y}[/tex]. Then,

[tex]x=\frac{512}{\sqrt{512}}\\x=\frac{512}{\sqrt{512}}\times\frac{\sqrt{512}}{\sqrt{512}}\\x=\mathrm{\sqrt{512}\;m}[/tex]

Therefore, the dimension is √512m×√512m.

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The speedup of a parallel algorithm will eventually reach some limit.

What is parallel algorithm?

An algorithm is a set of instructions that takes input from the user and, after doing some calculations, generates an output. A parallel algorithm is one that can carry out multiple operations simultaneously on various processing units and then combines all of the separate outputs to get the desired outcome.

An algorithm that can execute several instructions concurrently on various processing devices and then aggregate all of the individual outputs to produce the final result is known as a parallel algorithm.

Because a parallel algorithm's speedup is never equal to the number of processors, it ultimately reaches a limit beyond which it can no longer be accelerated. At that point, the algorithm will no longer be accelerated and the speedup will stop.

Hence, the speedup of a parallel algorithm will eventually reach some limit.

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The measurement of the angles x, y, and z of the given triangles are;

x = 88°, y = 55° and z = 37°

We know that;

The sum of interior angles of any triangle is equal to 180 degree.

The sum of angles on a straight line is 180 degrees.

Thus;

x + y + z = 180°

Now, from the given diagram, we can see two pairs of parallel lines. This means that there will be some corresponding angles.

Thus;

y is a corresponding angle to 55° and as such we can say that;

y = 55°

Similarly, z° is a corresponding angle to 37° and as such we can say that;

z = 37°

Thus;

x + 55 + 37 = 180

x + 92 = 180

x = 180 - 92

x = 88°

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Answer:

b = amount of boys

g = amount of girls

f = amount spent in first intermission

s = amount spent in second intermission

c = cake cost

x = coke cost

b = 16

g = 14

f = 76

s = 74

c = 2

x = 3

Step-by-step explanation:

cg + xb = f

xg + cb = s

f - 2 = s

b + g = 30

b > g

To solve for the variables, you just have to guess and check.

(2 x 14) + (3 x 16) = 76

(3 x 14) + (2 x 16) = 74

76 - 74 = 2

16 + 14 = 30

16 > 14

Answer:

[tex]x_{1}=-4[/tex]

[tex]x_{2}=-8[/tex]

Step-by-step explanation:

Quadratic Equation:
[tex]x^2+12x+32=0[/tex]

Solve using Quadratic Formula:

[tex]x_{1} = \frac{-12+\sqrt{144-128} }{2}[/tex]

[tex]x_{1}=\frac{-12+4}{2}[/tex]

[tex]x_{1}=\frac{-8}{2}[/tex]

[tex]x_{1}=-4[/tex]

[tex]x_{2}=\frac{-12-\sqrt{144-128} }{2}[/tex]

[tex]x_{2}=\frac{-12-4}{2}[/tex]

[tex]x_{2}=\frac{-16}{2}[/tex]

[tex]x_{2}=-8[/tex]

I would appreciate it if you mark my answer as brainliest.

Scatterplots are utilized to plot data of interest on a flat and an upward pivot in the endeavor to show the amount one variable is impacted by another.

A chart that shows two numerical variables. The results of these dependent parameters for each of the people are represented as points on the graph's horizontal directions, one for each variable.

At Stage Eight of linear regression, one of the two or more variables is considered the informative variable while the second variable is considered the can, therefore. In this instance, the response variable is represented on the vertical axis while the important point is plotted on the horizontal line (x-axis) (y-axis).

Scatterplots are utilized to plot data of interest on a flat and an upward pivot in the endeavor to show the amount one variable is impacted by another.

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