Find the volumeeeeee

You can carve out 150 cubes of side 0.1 m from the given block of wood.

To determine the number of cubes, we need to calculate the volume of the block and the volume of each cube.

The volume of the block is given by:

Volume = length × width × height

Volume = 75 cm × 50 cm × 40 cm

Converting the measurements to meters:

Volume = (75 cm / 100) m × (50 cm / 100) m × (40 cm / 100) m

Volume = 0.75 m × 0.5 m × 0.4 m

Volume = 0.15 m³

The volume of each cube is given by:

Volume of each cube = side³

Volume of each cube = (0.1 m)³

Volume of each cube = 0.001 m³

To find the number of cubes that can be carved out of the block, we divide the volume of the block by the volume of each cube:

Number of cubes = Volume of block / Volume of each cube

Number of cubes = 0.15 m³ / 0.001 m³

Number of cubes = 150

Therefore, you can carve out 150 cubes of side 0.1 m from the given block of wood.

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First you will get 4dz

Answer:

D. the incenter

Step-by-step explanation:

Hope this helps

Answer:

D. the incenter

Step-by-step explanation:

Because it is the "Correct Answer"

To find the number of terms needed to approximate the sum of the series within 0.01, we need to consider the convergence of the series. In this case, using the integral test, we can determine that the series converges. By estimating the remainder term of the series, we can calculate the number of terms required to achieve the desired accuracy.

The given series is 1/(n(ln(n))^4, and we want to find the number of terms needed to approximate its sum within 0.01.
First, we use the integral test to determine the convergence of the series. Let f(x) = 1/(x(ln(x))^4, and consider the integral ∫[2,∞] f(x) dx.
By evaluating this integral, we can determine that it converges, indicating that the series also converges.
Next, we can use the remainder term estimation to approximate the error of the series sum. The remainder term for an infinite series can be bounded by an integral, which allows us to estimate the error.
Using the remainder term estimation, we can set up the inequality |Rn| ≤ a/(n+1), where Rn is the remainder, a is the maximum value of the absolute value of the nth term, and n is the number of terms.
By solving the inequality |Rn| ≤ 0.01, we can determine the minimum value of n required to achieve the desired accuracy.
Calculating the value of a and substituting it into the inequality, we can find the number of terms needed to be added to the series to obtain a sum within 0.01.

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Answer: The volume of the cube is given by V = s^3, where s is the length of each side. Therefore, the volume of the cube is:

V = (3.01 cm)^3 = 27.28 cm^3

The density of the cube is given by the mass divided by the volume:

density = mass / volume = 0.317 kg / 27.28 cm^3

We need to convert cm^3 to kg/m^3 to get the units right:

1 cm^3 = 10^-6 m^3

1 kg/m^3 = 10^6 kg/cm^3

So, we have:

density = 0.317 kg / (27.28 cm^3 x 10^-6 m^3/cm^3)

density = 11,603 kg/m^3

Now, we need to identify the metal. The density of the cube can be compared to the densities of different metals to determine the identity. Here are the densities of some common metals:

Since the density of the cube is closest to the density of lead, we can identify the metal as lead.

Answer:

4.61 years

Step-by-step explanation:

hope it helped!

The inverse of a function can be determined graphically by reflecting the graph over line y =x, the correct option is D.

An inverse of a function can be determined by interchanging variables in the function, y is interchanged by x in an f(x,y) function and then the equation is solved for y to determine the inverse of a function.

The equation is y = 2x+3

The inverse of a function is determined graphically the graph will be reflected in the line y =x.

The graph is attached with the answer.

Therefore, the correct option is D.

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The equation in Standard Form. b) Identify P(x). c) Identify Q(x). d) Evaluate Integrating Factor. e) Solve for the general solution are given below:

a) Rewrite the equation in Standard Form:

To rewrite the equation in standard form, divide the entire equation by x⁴:

dy/dx + 2y = e^(-x)

b) Identify P(x):

In standard form, the coefficient of the y term is 2, which is the function P(x). So, P(x) = 2.

c) Identify Q(x):

In standard form, the right-hand side of the equation is e^(-x), which is the function Q(x). So, Q(x) = e^(-x).

d) Evaluate the Integrating Factor:

The integrating factor (IF) is given by the exponential of the integral of P(x) with respect to x. In this case, the integrating factor is:

IF = e^(∫P(x)dx) = e^(∫2dx) = e^(2x)

e) Solve for the general solution:

Multiply the entire equation by the integrating factor (IF = e^(2x)):

e^(2x) * (dy/dx + 2y) = e^(2x) * e^(-x)

Simplify the left side by applying the product rule of exponents:

(e^(2x) * dy/dx) + 2y * e^(2x) = e^(x)

Notice that the left side is now in the form (f(x)g(x))' = f'(x)g(x) + f(x)g'(x), where f(x) = y and g(x) = e^(2x). Apply the product rule and simplify further:

(d/dx)(y * e^(2x)) = e^(x)

Integrate both sides with respect to x:

∫(d/dx)(y * e^(2x)) dx = ∫e^(x) dx

Integrating the left side gives:

y * e^(2x) = ∫e^(x) dx = e^(x) + C₁, where C₁ is the constant of integration.

Finally, solve for y by dividing both sides by e^(2x):

y = (e^(x) + C₁) / e^(2x)

This is the general solution to the given differential equation using the Integrating Factor Method.

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you should invest approximately $500,000 today at 9% simple interest to reach your retirement goal of $1,175,000 in 15 years.

To determine how much you should invest today at 9% simple interest to reach your retirement goal of $1,175,000 in 15 years, we can use the formula for simple interest:

A = P(1 + rt)

Where A is the future value, P is the principal (the amount you should invest today), r is the interest rate, and t is the time in years.

We can rearrange the formula to solve for P:

P = A / (1 + rt)

Plugging in the values, we have:

P = 1,175,000 / (1 + 0.09 * 15)

P = 1,175,000 / (1 + 1.35)

P = 1,175,000 / 2.35

P ≈ $500,000

Therefore, you should invest approximately $500,000 today at 9% simple interest to reach your retirement goal of $1,175,000 in 15 years.

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Answer:  So to cover the patio it would take 255 whole tiles.  254.469 if you want to be exact.

Step-by-step explanation:

When finding flooring needed we are finding for area.  We know the formula for finding the area of a circle is A=\(\pi r^{2}\) so we plug in our known variables...

we know r because radius is half of diameter and diameter was given in problem.  So half of 18 is 9.

r=9

A=\(\pi 9^{2}\)

A=\(\pi\)81

A=254.469

Answer:

1766 using 3.14 for pi

1767 using the pi button

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

we need to know the radius

r =d/2 = 15/2 = 7.5

V = 4/3 (pi)( 7.5)^3

V =562.5 pi

Approximating pi by 3.14

V = 562.5 (3.14)

V =1766.25

To the nearest whole number

V = 1766

If you use the pi button

1767.14586

To the nearest whole number

1767

Answer:

\(V=1767\)

Step-by-step explanation:

Step 1:  Find the volume of the sphere

Volume of a Sphere:  \(V=\frac{4}{3}\pi r^{3}\)

Find the radius

\(Radius = Diameter / 2\)

\(Radius = 15 / 2\)

Plug in the values and solve

\(V=\frac{4}{3}\pi * \frac{15}{2}^{3}\)

\(V=\frac{4}{3}\pi * \frac{3375}{8}\)

\(V=\frac{1125}{2}\pi\)

\(V=1767\)

Answer:  \(V=1767\)

The probability that more boys than girls are chosen is 0.4731. So option b is correct.

Combination:

The act of combining or the state of being combined. A number of things combined: a combination of ideas. something formed by combining: A chord is a combination of notes. an alliance of persons or parties: a combination in restraint of trade.

Here it is given that there are 18 boys and 19 girls and 5 students are chosen.

We have to find the probability that more boys than girls are chosen.

Probability = \(C^{5} _{18}\) + \(C^{4}_{18} C^{1} _{19}\) + \(C^{3} _{18} C^{2} _{19}\) / \(C^{5}x_{37}\)

                  = 8568 + 58140 + 139536 / 435897

                  ≈ 0.4731

Therefore the probability is 0.4731.

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If d is the common difference between consecutive terms, then

\(a_4 = a_3 + d = a_2 + 2d\)

We have \(a_2 = 64\) and \(a_4 = 100\), so

\(a_4 - a_2 = 100 - 64 = 36 = 2d \implies d = 18\)

Then the 1st term in the sequence is

\(a_2 = a_1 + d \implies 64 = a_1 + 18 \implies a_1 = 46\)

and the n-th term would be

\(a_n = a_1 + (n-1) d \implies a_n = 46 + 18 (n-1) \implies \boxed{a_n = 18n + 28}\)

Answer:

70

Step-by-step explanation:

(Not the most streamlined way but.)

Knowing that if he had 5 tests, and a mark of 85, we can determine the total average grade Bill received. 85*5=425

Then subtract the known grades

425-(90+85+100+80)=x

425-(355)=x

70=x

Bill would have scored 70 on that 5th test

Answer:

Liam has $12.

Step-by-step explanation:

Since Drew has $18 and that is $6 more than Liam's amount of money, you would subtract 6 from 18.

18-6=12

Hence, Liam has $12.

Please let me know if this helped! If it did, please mark brainliest! If you have any more questions, please let me know! Have a splendid day!!! <3

The function f(x) = \(x^2 e^{(-x^2)}\) has a maximum value at x = 0, which is a relative maximum point.

To find the relative maximum of the function f(x) =\(x^2 e^{(-x^2)}\), we can take its first derivative, set it to zero, and solve for x.

f(x) = \(x^2 e^{(-x^2)}\)

f'(x) = \(2x e^{(-x^2)} - 2x^3 e^{(-x^2)}\)

Setting f'(x) = 0, we get:

\(2x e^{(-x^2)} - 2x^3 e^{(-x^2)} = 0\)

\(2x e^{(-x^2)} (1 - x^2) = 0\)

This equation is true when either \(2x e^{(-x^2)} = 0\) or \(1 - x^2 = 0\).

Solving \(2x e^{(-x^2)} = 0\), we get x = 0.

Solving \(1 - x^2 = 0\), we get x = 1 or x = -1.

Now, we need to determine whether these values of x correspond to relative maximum, minimum, or inflection points.

To do this, we can use the second derivative test. The second derivative of f(x) is:

f''(x) = \(2e^{(-x^2)} - 4xe^{(-x^2)} - 4x^2e^{(-x^2)}\)

At x = 0, f''(0) = 2, which is positive. This means that f(x) has a relative minimum at x = 0.

At x = 1, f''(1) = \(-6e^{(-1)}\), which is negative. This means that f(x) has a relative maximum at x = 1.

At x = -1, f''(-1) = \(-6e^{(-1)}\), which is negative. This means that f(x) has a relative maximum at x = -1.

Therefore, the answer is (D) -1 and 1 only, as these are the only values of x at which f(x) has a relative maximum.

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There are 8 different ways to choose the leadership of the tribe.

To calculate the number of different ways to choose the leadership of the tribe, we need to consider the hierarchy and the number of positions to be filled.

First, we have one chief position. There is only one chief, so there is only one way to choose the chief.

Next, we have two supporting chief positions (supporting chief a and supporting chief

b). Since each supporting chief position can be filled independently, there are 2 ways to choose the supporting chiefs.

Lastly, for each supporting chief, we have two inferior officer positions. Since each supporting chief position has two inferior officer positions, there are 2 ways to choose the inferior officers for each supporting chief.

Therefore, the total number of different ways to choose the leadership of the tribe is calculated by multiplying the number of choices for each position:

1 (chief) * 2 (supporting chiefs) * 2 (inferior officers for each supporting chief) * 2 (inferior officers for the other supporting chief).

Multiplying these values together, we get: 1 * 2 * 2 * 2 = 8.

So, there are 8 different ways to choose the leadership of the tribe.

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Answer:

Your answer is 40√3.

Answer:

the rule to remember is that opposites attract. every magnet has both a north and a South pole. when you place the North Pole of one magnet near the South Pole of another magnet, they are attracted to one another.

Step-by-step explanation:

Hope this helped Mark BRAINLIEST!!

Answer:

The magnets have different poles facing each other ( N/S > < S/N )

Answer:

0.64m squared

Step-by-step explanation:

Surface area is the area of the sides added together

I am going to assume that the bottom is a square

0.4 multiplied by 0.6 is 0.24

0.24 halved is 0.12

0.12 multiplied by 4 is 0.48

0.4 multiplied by 0.4 is 0.16

0.48 plus 0.16 is 0.64

Answer:

0.64 m²

Step-by-step explanation:

Total Surface Area : Area (4 triangles) + Area (square)

Answer:

B

Step-by-step explanation:

So the velocity vector is v = (-2sin(t)) i + (2cos(t)) j, and the acceleration vector is a = (-2cos(t)) i + (-2sin(t)) j, both in terms of t.

Given

r= 2cost and theta = 9t

To Find

the velocity and acceleration vector

Solution

We can start by expressing the position vector r in terms of the Cartesian coordinates x and y:

x = r cos(theta) = 2cos(t)

y = r sin(theta) = 2sin(t)

To find the velocity vector, we can take the time derivative of the position vector:

v = (dx/dt) i + (dy/dt) j

where i and j are the unit vectors in the x and y directions, respectively.

Taking the derivatives:

dx/dt = -2sin(t)

dy/dt = 2cos(t)

Substituting these back into the velocity vector equation:

v = (-2sin(t)) i + (2cos(t)) j

To find the acceleration vector, we can take the time derivative of the velocity vector:

a = (d^2x/dt^2) i + (d^2y/dt^2) j

Taking the derivatives:

d^2x/dt^2 = -2cos(t)

d^2y/dt^2 = -2sin(t)

Substituting these back into the acceleration vector equation:

a = (-2cos(t)) i + (-2sin(t)) j

So the velocity vector is v = (-2sin(t)) i + (2cos(t)) j, and the acceleration vector is a = (-2cos(t)) i + (-2sin(t)) j, both in terms of t.

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The statement is false. If f and g are continuous on [a, b], it does not imply that ∫[a to b] (f(x) × g(x)) dx = ∫[a to b] f(x) dx × ∫[a to b] g(x) dx

In general, the integral of the product of two functions, f(x) and g(x), is not equal to the product of their individual integrals.

To counter the statement, we can provide a counterexample. Consider two continuous functions, f(x) = x and g(x) = x, defined on the interval [0, 1]. The integral of their product, ∫[0 to 1] (f(x) * g(x)) dx, is equal to ∫[0 to 1] (x × x) dx = ∫[0 to 1] \(x^{2}\) dx = 1/3.

On the other hand, the individual integrals of f(x) and g(x) are ∫[0 to 1] f(x) dx = ∫[0 to 1] x dx = 1/2 and ∫[0 to 1] g(x) dx = ∫[0 to 1] x dx = 1/2, respectively. The product of these individual integrals, (1/2) × (1/2) = 1/4, is not equal to the integral of the product.

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Answer:

10

Step-by-step explanation:

Let the missing side be 'x'.

Using Pythagorean Theorem, we can find the missing side.

Using induction, we can prove that m - 1 divides mn - 1 for all n ≥ 0 and all m ≥ 2.

We will assume that m is an integer greater than or equal to 2 and induct on n.

Basis Step: When n = 0, mn - 1 = 0 and m - 1 divides 0.

Inductive Step: Assume that m - 1 divides mn - 1 for n = k. Then m - 1 divides mk + m - 1.

Now, mn + 1 = mk + m - 1 + 1.

Since m - 1 divides mk + m - 1, it follows that m - 1 divides mn + 1.

Thus, by mathematical induction, m - 1 divides mn - 1 for all n ≥ 0 and all m ≥ 2.

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Answer: 7.5

Step-by-step explanation:

a²+b²=c²

C is the hypotenuse

a²+5²=9²

a²=81-25

a²=56

a=7.5

Answer:

wait so is this like uhmm pythagorean theorem?

Step-by-step explanation:

the square root of 5 and 9 is 25 and 81 add those together and you'll get 106, I'm not sure if you square root the 106 though but if you do its 10.295630141

Answer:

B

Step-by-step explanation:

The equivalent expression for the expression -2/5(15 - 20d + 5c) is

-6 + 8d - 2c

Option B is the correct answer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

-2/5 x (15 - 20d + 5c)

= -2/5 x 15 + 2/5 x 20 - 2/5 x 5c

= -2 x 3 + 2 x 4 - 2c

= -6 + 8d - 2c

Thus,

The equivalent expression is -6 + 8d - 2c.

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Answer:

Yes

Step-by-step explanation:

Answer:

It would be 35

Step-by-step explanation:

Angle 1 and Angle 4 are equal so then you can solve for x.

7x = 3x + 20

x = 5

Then plug in 5 for x

7(5) = 35

Altitude and perpendicular bisector of a side are always perpendicular to a side of a triangle.

How do triangles work?

A triangle is a three-sided polygon with three vertices. The angles of the triangle are formed by the three sides' end-to-end connections at a point.

               The triangle's three angles add up to a total of 180 degrees.

In a triangle, what is the altitude?

The perpendicular line drawn from a triangle's vertex to its opposite side is the definition of a triangle's altitude.

                       The altitude forms a right-angle triangle with the base and is also referred to as the triangle's height.

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