Find the coordinates of the reflection of (-4,1) across y=x

To calculate the total surface area of a triangular prism, we need to find the area of each face and add them up.

The triangular faces have base 5cm and height 12cm, so each one has an area of:

(1/2) x 5cm x 12cm = 30cm²

There are two of these faces, so their combined area is:

2 x 30cm² = 60cm²

The rectangular faces have dimensions 5cm x 10cm and 5cm x 13cm, so their areas are:

5cm x 10cm = 50cm²

5cm x 13cm = 65cm²

Again, there are two of these faces, so their combined area is:

2 x (50cm² + 65cm²) = 230cm²

Finally, we add up the areas of all the faces to get the total surface area:

60cm² + 230cm² = 290cm²

Therefore, the total surface area of this triangular prism is 290cm².

Answer:

boooobieeeesss

Step-by-step explanation:

booooobbbsss mmmmm + booooobs

The slope of a line perpendicular to the original line is then the negative reciprocal of 4/3, or -3/4.

Reciprocity is a reciprocal exchange of goods, services, or privileges between two parties. It is often used in business transactions and in politics to create beneficial relationships and agreements between parties.

The slope of a line perpendicular to 4x-3y=12 is calculated by finding the negative reciprocal of the slope of the original line. To find the slope of the original line, we need to rewrite the equation in the form y = mx + b, where m is the slope.
In this case, we can rewrite the equation as:
3y = 4x - 12
Yielding the slope of the original line as m = 4/3.
The slope of a line perpendicular to the original line is then the negative reciprocal of 4/3, or -3/4.

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Answer:

We can use the formula for compound interest to solve this problem. The formula is:

A = P * (1 + r/n)^(n*t)

where:

A = the amount of money after t years

P = the principal amount (the initial investment)

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the number of years

In this case, P = $5000, r = 0.03, n = 12 (since the interest is compounded monthly), and t = 10. Plugging these values into the formula, we get:

A = 5000 * (1 + 0.03/12)^(12*10)

A = 5000 * (1.0025)^120

A ≈ $6,621.36

So the investment will be worth approximately $6,621.36 after 10 years.

Answer:

x has no real solution

Step-by-step explanation:

Our equation is qudratic equation so the method we will follow to solve it is using the dicriminant :

The error E = ± 4.04 %

Sample data = ( p ).

success p = success percentage = 40 %

confidence interval CI = 98%

sample size n = 800

margin of error E:

The margin of error "E" for estimation of population proportion ( p ) is given by:

E = z - critical √(p(1-p)/n)

P ( Z < Z-critical ) = a/

a = 1 - CI

P ( Z < Z-critical ) = (1 - 0.98) / 2

P ( Z < Z-critical ) = 0.01

Z-critical = 2.33

The error E = ± 4.04 %

Thus, the correct answer is E=± 4.04 %

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The greatest number of different line segment that can be drawn so that each line passes through two of these points is 36. This is because every pair of points can be connected by a line, and with ten points, there are 45 pairs.

The greatest number of different lines that can be drawn so that each line passes through two of these points is 36. This is because every pair of points can be connected by a line, and with ten points, there are 45 pairs. Since each line can only be drawn once, the total number of different lines that can be drawn is 45 divided by two, which is equal to 36. In addition, the number of lines that can be drawn from each point to the rest of the points is 9, and since there are 10 points, the total number of lines that can be drawn is 90. However, this number is redundant since each line can only be drawn once, so the greatest number of lines that can be drawn is 36.

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Answer:

5 2/4 = 22/4, so 22 children drank 1/4 litre or water

Answer:

The answer is School A

Step by step explanation:

Answer:

a is your answer

Step-by-step explanation:

Answer:

8,588 people

Step-by-step explanation:

We can represent this exponential decay as \(P=10000(0.97)^n\) where \(n\) is the number of years later:

\(P=10000(0.97)^n\\\\P=10000(0.97)^5\\\\P=10000(0.8587340257)\\\\P=8587.340257\\\\P\approx8588\)

Therefore, the population 5 years later will be 8,588 people

Step-by-step explanation:

Ok so after the first year we expect the population to reach 97% of it's initial population.

So 97% of 10 000 can be written as:

97/100 ×10 000=0.97×10 000=9 700

After the second year we expect the population to drop to 97% of the first year's population

So, it can be said that:

0.97×9700= 9409

Similarly after year 3,

0.97× 9409= 9126.73

Year 4,

0.97× 9126.72= 8852.9281

Year 5,

0.97× 8852.9281=8587 rounded to the nearest number

The new population would be 8587

Answer:

not sure but I feel like 6 because 3x2 is 6

Answer:

From the graph below, we can see that

The local minimum is represented using the image below

From the image also, we can see that

Hence,

The values at which g, have a local maximum is

Hence,

All local maximum values of g is

The media personality's argument is flawed because they are basing their conclusion on a single year's data and ignoring the overall trend of increasing global temperatures. To counter this argument, one can make the following points:

1. While it is true that the annual increase in temperature may be less than the margin of error, the trend of increasing temperatures over several decades cannot be ignored. The margin of error is a statistical concept that takes into account the uncertainty in the measurement, but it does not negate the overall trend.

2. Global temperature records show that the Earth's temperature has been steadily rising over the past century, with the 10 warmest years on record occurring since 2005. This trend cannot be explained by natural variability alone and is consistent with the effects of human-caused climate change.

3. The consequences of rising global temperatures, such as melting glaciers, rising sea levels, and more frequent extreme weather events, are already being felt around the world. Ignoring this trend could have devastating consequences for future generations.

In summary, the media personality's argument is based on a flawed understanding of statistics and ignores the overall trend of increasing global temperatures. The best counterargument is to highlight the overwhelming evidence of climate change and its potential consequences.

Answer:

500 and 4.3

Step-by-step explanation:

A decigram is one-tenth of a gram and a kilometer is one-thousandth of a meter. Using this information, we must multiply the given amounts by the values.

5000 × 0.1 = 500

4300 × 0.001 = 4.3

Thus, the answers [in order] are 500 and 4.3

Hope this helps and feel free to ask any questions.

Answer:

solution,

Similar Right triangles:

\( \frac{c}{h} = \frac{h}{d} \\ {h}^{2} = cd \\ {y}^{2} = 4 \times 9 \\ {y = 36 }^{2} \\ y = \sqrt{ {(6)}^{2} } \\ y = 6\)

Hope this helps..

Good luck on your assignment..

Answer:whats the measure of x i really need help

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use the similarity of two triangles.

The ratio of corresponding sides is equal.

Let the height of the tree is x, then we have:

Answer:

12.68 m  (nearest hundredth)

Step-by-step explanation:

Similar Triangle Theorem

If two triangles are similar, the ratio of their corresponding sides is equal.

Smaller triangle

Larger triangle

Ratio of height to base:

\(\implies \sf height_{small}:base_{small}=height_{large}:base_{large}\)

\(\implies \sf 1.85:4.15=h:28.45\)

\(\implies \sf \dfrac{1.85}{4.15}=\dfrac{h}{28.45}\)

\(\implies \sf h= \dfrac{1.85}{4.15} \cdot 28.45\)

\(\implies \sf h=12.68\:m \:\:(nearest\:hundredth)\)

Therefore, the height of the tree to the nearest hundredth of a meter is 12.68 m.

Answer:

261 stairs

Step-by-step explanation:

If David trips twice every 9 stairs and he has tripped 58 times. We can multiply 9 by 58.

58*9=522

Since David trips twice in 9 stairs, then to find how many stairs he has climbed we need to divide 522 by 2.

522/2=261

David has climbed 261 stairs.

Answer:

\(x+8=7*10\)

Step-by-step explanation:

Sum of X and 8: \(x+8\)

Product of seven and 10: \(7*10\)

Put them together:

\(x+8=7*10\)

Answer:

the solution to the system of equations is (x, y) = (3, -2).

Step-by-step explanation:

y = -2x + 4 (Equation 1)

y = x - 5 (Equation 2)

To solve for x, we can equate the right sides of the equations:

-2x + 4 = x - 5

Now, we can solve for x:

-2x - x = -5 - 4

-3x = -9

x = (-9) / (-3)

x = 3

Substituting the value of x back into Equation 2, we can solve for y:

y = 3 - 5

y = -2

Answer:

15

Step-by-step explanation:

Answer:

y=-1.5x-10

Step-by-step explanation:

standard form is y=mx+b m here is -1.5 -1.5*-4=6 6-10=-4

y=-1.5x-10

Answer:

OC. the graph crosses the x-axis

The expression simplifies to |2x| = -2x, when x<0 by definition of absolute value

If x<0, then the expression |2x| simplifies to -2x.

The absolute value of a number is the distance of the number from zero on the number line.

Since x is negative in this case, 2x will be negative as well.

Taking the absolute value of -2x will give us the opposite of -2x, which is 2x.

However, since we know that x<0, this means that -2x will always be a positive number.

Hence, the expression simplifies to |2x| = -2x, when x<0.

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Complete question

Simplify the expression |2x|  when x is less than 0, x<0

An equation that could be the equation of this parabola include the following: C. x = 1/12(y²).

In Mathematics, the standard equation of the directrix lines for any parabola that opens to the right is represented by this mathematical expression:

x = a(y - k)² + h.

Where:

By critically observing the graph which models the equation of this parabola, we can logically deduce that the vertex is at point (0, 0) and as such, we have the following:

h = 0

k = 0

a = positive.

x = a(y - k)² + h.

x = a(y - 0)² + 0.

x = ay²

Therefore, a possible equation is x = 1/12(y²).

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Therefore, the combined volume of the two rectangular prisms is 132 cubic units.

2-D enclosed shapes with four sides, four corners, and four right angles are called rectangles. A rectangle has two equal and parallel opposite sides.

To determine the combined volume of the two rectangular prisms shown in the diagram, we need to find the sum of their individual volumes. The volume of a rectangular prism is given by the formula:

Volume = length x width x height

In the diagram, we can see that the first rectangular prism has a length of 5 units, a width of 3 units, and a height of 4 units. The second rectangular prism has a length of 6 units, a width of 4 units, and a height of 3 units.

To find the volume of the first rectangular prism, we can use the formula:

Volume of first prism = length x width x height

Volume of first prism = 5 units x 3 units x 4 units

Volume of first prism = 60 cubic units

To find the volume of the second rectangular prism, we can use the same formula:

Volume of second prism = length x width x height

Volume of second prism = 6 units x 4 units x 3 units

Volume of second prism = 72 cubic units

Finally, to find the combined volume of the two prisms, we just need to add their individual volumes:

Combined volume = Volume of first prism + Volume of second prism

Combined volume = 60 cubic units + 72 cubic units

Combined volume = 132 cubic units

Therefore, the combined volume of the two rectangular prisms is 132 cubic units.

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Slope-Intercept: y=-9/2x-67/2

Point-Slope: y-25=-9/2 * (x+13)

(Sorry, forgot to include something!)

Hope that helps! :)

Answer:

I DONT KNOW BUT YOU HAVE TO CHECK OUT MY QUESTION NO OE CAN SOLVE IT I BET

Step-by-step explanation:

Answer:

All three designs will hold he same amount of chocolate (60 cubic centimeters). So, the manager is wrong.

Step-by-step explanation:

Let's find the volume of each design.

For Design A, the cross section is a rectangle rectangle measured 3 cm by 2 cm.

Therefore, the area of the cross section is:

\(A_1=3(2)=6\text{ cm}^2\)

Since the height is 10 cm, the total volume of Design A is:

\(V_1=10(6)=60\text{ cm}^2\)

For Design B, the cross section is also a rectangle measuring 3 cm by 2 cm.

So, the area of the cross section is:

\(A_2=3(2)=6\text{ cm}^2\)

And the height is still 10 cm. So, the total volume of Design B is:

\(V_2=6(10)=60\text{ cm}^3\)

Note that we use the vertical height, and not the slant height. If this seems confusing, imagine each layer being a cracker. If 10 crackers were laid on top of each other perfectly, that is Design A. However, if we were to move each cracker to the right a bit, that is Design B. The volume of both cases are the same.

For Design C, the cross section is a triangle with a base length of 6 cm and a height of 2 cm.

So, the area of the cross section is:

\(\displaystyle A_3=\frac{1}{2}(2)(6)=6\)

And since the height is 10 cm, the volume of Design C is:

\(V_3=6(10)=60\text{ cm}^3\)

Therefore, as we can see, all three designs will hold he same amount of chocolate. So, the manager is wrong.