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pls ans me pls pls pls​

Answer:

\(33,680 cm^2\)

Step-by-step explanation:

The formula needed for this problem is..

\(S.A=2(l*w)+2(l*h)+2(w*h)\).

Given that;

The height of the door= 200cm

The length of the door= 3cm

The width of the door= 80cm

Now, substitute the formula with the information given.

\(S.A= 2(3*80)+2(3*200)+2(80*200)\)

\(S.A= 2(240)+2(600)+2(16000)\)

\(S.A= 480+1200+32000\)

\(S.A= 33,680 cm^2\)

To find the volume generated, we need to use the formula for volume of revolution. We are revolving the area bounded by the curve y=x, the line x=4 and the x-axis about the y-axis.

First, we need to find the limits of integration for x. The curve y=x intersects the line x=4 at y=4, so we integrate from x=0 to x=4.

Next, we need to find the radius of the rotation. The radius is the distance from the y-axis to the curve at each value of x. Since we are revolving about the y-axis, the radius is simply x.

Using the formula for volume of revolution, we get:

V = π∫(radius)^2 dx from 0 to 4

V = π∫x^2 dx from 0 to 4

V = π[x^3/3] from 0 to 4

V = π[(4^3/3) - (0^3/3)]

V = (64π/3)

Therefore, the volume generated when the area bounded by the curve y=x, the line x=4 and the x-axis is revolved about the y-axis is (64π/3).
To find the volume generated when the area bounded by the curve y=x^2, the line x=4, and the x-axis is revolved around the y-axis, we'll use the disk method. The formula for the disk method is:

Volume = π * ∫ [R(x)]^2 dx

Here, R(x) is the radius function and the integral is taken over the given interval on the x-axis. In this case, R(x) = x and the interval is from 0 to 4.

Volume = π * ∫ [x]^2 dx, with the integral from 0 to 4

Now, we'll evaluate the integral:

Volume = π * [ (1/3)x^3 ](0 to 4)
Volume = π * [ (1/3)(4)^3 - (1/3)(0)^3 ]
Volume = π * [ (1/3)(64) - 0 ]
Volume = π * [ (64/3) ]

So, the volume generated is (64/3)π cubic units.

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Answer:

-16

Step-by-step explanation:

Use everyone's favourite thing: ALGEBRA!!!

16=x+32

16-32=x

-16=x

Hope that helps

Step-by-step explanation:

16=x+32

16-x=32

-x=32-16

-x=16

X=-16

Answer:

a^2+a-6

Step-by-step explanation:

i have attached your answer

Step-by-step explanation:

For this problem, we need to use the fact that the circle with center (h,k) and radius r is (x-h)^2 + (y-k)^2 = r^2.

This gives us that the equation of the circle is (x-1)^2 + (y-1)^2 = 25.

The likelihood that the first question will be true in a true and false quiz where P(true) = 0.7 for each question is likely.

With a probability of 0.7 assigned to each question being true, there is a higher chance that the first question will be true compared to it being false.

However, it's important to note that this does not guarantee that the first question will be true, as probability represents the likelihood of an event occurring, not certainty.

The intercept of the line is 10,985.00.

Given,  Y=5X+10,985.00

We can write the equation in the form of y = mx + c

Where y is the dependent variable, x is the independent variable, m is the slope and c is the intercept.

So, y = 5x + 10,985.00

So, the intercept of the line is 10,985.00.

The intercept of the line is 10,985.00.

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The volume can be expressed as V = ∫(0 to b) [(1/2) * π * [(49 - x^2)/2]^2] dx. Evaluating this integral will give the final volume of the solid.

To calculate the volume, we divide the region into infinitesimally thin strips perpendicular to the x-axis. Each strip has a height equal to the difference between the upper and lower boundaries, which is 49 - x^2. The cross-sectional area of each strip is given by A = (1/2) * π * r^2, where r is the radius of the semicircle.

Since the radius of the semicircle is half the width of the strip, the radius can be expressed as r = (49 - x^2)/2. Therefore, the area of each cross-section is A = (1/2) * π * [(49 - x^2)/2]^2.

To find the volume, we integrate the area of each cross-section with respect to x over the given range of x = 0 to x = b, where b is the x-coordinate where the parabola y = x^2 intersects the line y = 49.

The volume can be expressed as V = ∫(0 to b) [(1/2) * π * [(49 - x^2)/2]^2] dx. Evaluating this integral will give the final volume of the solid with semicircular cross-sections perpendicular to the x-axis within the given region.

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Answer:

15 by 2

Step-by-step explanation:

15 cubes in each layer with 2 layers

Answer:

Cubes in each layer: 15

Number of layers: 2

Volume : 30 cm^3

Step-by-step explanation:

a quantity of interest that can take on different values is known as a(n)

variable.

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Answer: Dog show 1 was a dog show for smaller dogs while dog show 2 was a dog show for larger dogs.

Step-by-step explanation:

Answer:

One solution.

A system of linear equations has one solution when the graphs intersect at a point.

I hope it's helpful!

Answer:

See attachment 2 for the rotation

Step-by-step explanation:

The question has a missing figure

See attachment 1 for the missing figure of the isosceles right-triangle

Required

Rotate around the hypotenuse

From the attachment, the hypotenuse is along the blue vertical line along the y-axis.

So, when the isosceles triangle is rotated around the hypotenuse, the result of the rotation we get a composite figure that has two congruent solids.

Which is a cone of radius and height equal to half of the hypotenuse

See attachment 2 for the rotation

If the series is A B C D then the next one is E

Answer:

the profit is $1.66 per pastry

Step-by-step explanation:

Answer:

The profit is 20 cents per pastry

Step-by-step explanation:

The width, labelled x in the figure is 162.5 meters

From the question, we have the following parameters that can be used in our computation:

Length = 650 - 2x

Width = x

The area of a rectangle is the product of its dimensions

So, we have

Area = Length x Width

Substitute the known values in the above equation, so, we have the following representation

A = (650 - 2x) * x

Evaluate

A = 650x - 2x²

Differentiate and set to 0

650 - 4x = 0

So, we have

4x = 650

Divide by 4

x = 162.5

Hence, the width is 162.5 meters

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To sketch its graph, we need to plot the values of x and y for different values of θ and connect the points. However, since this equation is quite complicated, it may be easier to use a graphing calculator or software to plot it. The graph should look like a distorted hyperbola.

To convert the given polar equation, r = -8 cot (θ) csc (θ), to rectangular form, we need to use the following trigonometric identities:
cot (θ) = cos (θ) / sin (θ)
csc (θ) = 1 / sin (θ)
Substituting these identities in the given equation, we get:
r = -8 (cos (θ) / sin (θ)) (1 / sin (θ))
r = -8 cos (θ) / sin^2 (θ)
To convert this to rectangular form, we use the following formulas:
x = r cos (θ)
y = r sin (θ)
Substituting the value of r from above, we get:
x = (-8 cos (θ) / sin^2 (θ)) cos (θ)
y = (-8 cos (θ) / sin^2 (θ)) sin (θ)
Simplifying these equations, we get:
x = -8 cos^2 (θ) / sin^2 (θ)
y = -8 cos (θ) sin (θ) / sin^2 (θ)
Dividing both sides by sin^2 (θ), we get:
x / sin^2 (θ) = -8 cos^2 (θ) / sin^4 (θ)
y / sin^2 (θ) = -8 cos (θ) / sin^3 (θ)
Simplifying further, we get:
x / (1 - cos^2 (θ)) = -8 cos^2 (θ) / (1 - cos^2 (θ))^2
y / (1 - cos^2 (θ)) = -8 cos (θ) / (1 - cos^2 (θ))^(3/2)
Multiplying both sides by (1 - cos^2 (θ))^2, we get:
x (1 - cos^2 (θ))^2 = -8 cos^2 (θ)
y (1 - cos^2 (θ))^2 = -8 cos (θ) (1 - cos^2 (θ))^(3/2)
Simplifying further, we get:
x (1 - cos^2 (θ))^(3/2) = -8 cos^2 (θ)
y (1 - cos^2 (θ))^(5/2) = -8 cos (θ)

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Answer: 90,000

Step-by-step explanation:

From the question, we are informed that in a local town, 54,000 families have incomes less than $25,000 per year. We are further told that this number of families is 60% of the families that had this income level 12 years ago.

To calculate the number of families who had incomes less than 25,000 per year 12 years ago goes thus:

Let the the number of families who had incomes less than 25,000 per year 12 years ago be represented by x.

Since we are told that this number of families is 60% of the families that had this income level 12 years ago. This means that:

60% of x = 54,000

60/100 × x = 54,000

0.6 × x = 54,000

0.6x = 54,000

Divide by 0.6

0.6x/0.6 = 54000/0.6

x = 90,000

The number of families who had incomes less than 25,000 per year 12 years ago was 90,000.

Answer:

We can write the inequality as:

p > 175 (since the cost of the coat must be greater than $175)

and

p ≤ 430 (since the shopper cannot spend more than $430)

Combining these two inequalities, we get:

175 < p ≤ 430

Therefore, the prices p of coats that the shopper can buy must satisfy the inequality 175 < p ≤ 430

Step-by-step explanation:

I am seeking friends , add me on sn ap = m_oonlight781 and we can do school stuffs togetherwaiting

Answer:

\(h^3 = h^m\)

Step-by-step explanation:

\(\frac{h^6}{h^3} = h^m\)

6 - 3 = 3

keep the base same, therefore

\(h^3 = h^m\)

Hope this helps!

The equivalent expression for the given expression is h³.

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

The given expression is h⁶/h³.

h⁶ can be written as h³×h³

= h³×h³/h³

= h³

Therefore, the equivalent expression is h³.

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The formula connecting E and F is E = k/F3, where k is a constant. This formula states that the value of E is inversely proportional to the cube of F.

That is, as F increases, the value of E decreases. For example, if F increases from 3 to 4, then the value of E decreases by a factor of 8.

This inverse proportionality between E and F3 is due to the fact that, as F increases, the cube of F increases at a faster rate. In other words, when F doubles, the cube of F increases by a factor of 8. This causes the value of E to decrease by the same factor of 8.

The formula is useful in many applications, such as in physics and engineering. For example, in physics, the formula can be used to calculate the force of an object in a gravitational field. The force is inversely proportional to the cube of the distance between the object and the center of gravity, where the constant k is equal to the gravitational constant. In engineering, the formula can be used to calculate the power of a motor, where the power is inversely proportional to the cube of the speed of the motor.

Overall, the formula E = k/F3 expresses the inverse proportionality between E and F3, and is used in various applications to calculate the value of E given the value of F.

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Answer:

probability = area of shaded region / total area

P = π (y²-x²) /πy²

P = y²-x²/y²

Option D is correct ...

mark me as brainliest ❤️

The most reasonable interpretation is c) there is a 0.60 probability that it will rain somewhere in the author's region at some point during the day.

The statement from Weather.com indicates that there is a chance of rain for the author's home region.The statement does not provide any information on the duration of the rain or how much of the region will be affected.

The use of the word "chance" suggests that there is a probability involved.Option a. assumes that 60% of the region will get rain, which is not supported by the statement.

Option b. assumes that it will rain for 60% of the day, which is also not supported by the statement.Option c. correctly reflects the probability aspect of the statement, indicating that there is a 0.60 probability that it will rain somewhere in the region at some point during the day.

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The relation S={(a,b)∈R×R:a²+b²=1} is not an equivalence relation on the set of real numbers R.

To show that S is not an equivalence relation, we need to demonstrate that it fails to satisfy one or more of the properties of an equivalence relation: reflexivity, symmetry, and transitivity.

Reflexivity: For a relation to be reflexive, every element of the set should be related to itself. However, in the case of S, there are no real numbers (a, b) that satisfy the equation a² + b² = 1 for both a and b being the same number. Therefore, S is not reflexive.

Symmetry: For a relation to be symmetric, if (a, b) is related to (c, d), then (c, d) must also be related to (a, b). However, in S, if (a, b) satisfies a² + b² = 1, it does not necessarily mean that (b, a) also satisfies the equation. Thus, S is not symmetric.

Transitivity: For a relation to be transitive, if (a, b) is related to (c, d), and (c, d) is related to (e, f), then (a, b) must also be related to (e, f). However, in S, it is not true that if (a, b) and (c, d) satisfy a² + b² = 1 and c² + d² = 1 respectively, then (a, b) and (e, f) satisfy a² + b² = 1. Hence, S is not transitive.

Since S fails to satisfy the properties of reflexivity, symmetry, and transitivity, it is not an equivalence relation on the set of real numbers R.

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Answer: Only j = 2

============================================

Explanation:

Let's solve for j

\(\frac{96}{j} \ge 40\\\\96 \ge 40j\\\\\frac{96}{40} \ge j\\\\2.4 \ge j\\\\j \le 2.4\)

In the second step, I multiplied both sides by j. If j is a positive number, then the inequality sign will not flip. All of the answer choices are positive numbers, so we don't have to worry about the inequality sign flipping.

The last step shows that j = 2.4 or j < 2.4

So j is 2.4 or smaller.

Of the list given to us, only j = 2 fits the description, since something like j = 8 is not 2.4 or smaller.

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

If j = 2, then,

\(\frac{96}{j} \ge 40\\\\\frac{96}{2} \ge 40\\\\48 \ge 40\\\\\)

which is a true statement since 48 is larger than 40. This shows that j = 2 is a solution.

Something like j = 8 does not work because

\(\frac{96}{j} \ge 40\\\\\frac{96}{8} \ge 40\\\\12 \ge 40\\\\\)

which is false because 12 is not equal to 40 or larger than 40. This means j = 8 is not a solution. You should find that j = 12 and j = 3 lead to similar false statements.

Of the list given, j = 2 is the only solution.

______________________________

So this is False.

So this is False.

So this is True.

So this is False.

______________________________

The distance between the helicopter and the first home is 369. 87 m

The distance between the helicopter and the first home can be found using sine law,

Hence,

180 - 72 - 49 = 59 degrees.

Therefore,

420 / sin 59 = A / sin 49°

where

cross multiply

420 sin 49 = A sin 59°

A = 420 sin 49 / sin 59

A = 316.978023694 / 0.8571673007

A = 369.869339199

A = 369. 87 m

Therefore, the distance between the helicopter and the first home is 369. 87 m

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Answer:

The answer is 400

Step-by-step explanation:

Withdraw means to take out, deposit means to put in. So you adding and subtracting all the numbers. 400-50+70-20= 400

Mr. Alfred borrows $3,500 to buy a new car. If the interest rate is 7. 5%, the interest that will accrue after 6 months is $131.25.

To solve the problem, we can use the formula for simple interest, which is

                                    I = Prt

Where:I is the interest

P is the principal (the amount borrowed)

r is the interest rate (as a decimal) t is the time (in years)

To apply the formula, we need to convert the time from months to years by dividing by 12.

So, the time t = 6/12 = 0.5 years.

The principal is $3,500, and the interest rate is 7.5%, which is 0.075 as a decimal. So, substituting into the formula:

                                           I = Prt = $3,500 x 0.075 x 0.5

                                                        = $131.25

Therefore, the interest that will accrue after 6 months is $131.25.

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