for how many n ∈{1,2,... ,500}is n a multiple of one or more of 5, 6, or 7?more of 5, 6, or 7? Hint To find out how many numbers are divisible by 6 and 7, for example, take 500/42 and round down.

Answer:

12 minutes

Step-by-step explanation:

Since he ran 2/3 of a mile in 8 minutes, by dividing both sides by two we can see that he ran 1/3 in 4 minutes. 1/3 x 3 = 1 mile. 4 x 3 = 12 minutes

Answer:

1 mile in 12 minutes

Step-by-step explanation:

2/3 mile in 8 minutes

divide by 2

1/3 mile = 4 minutes

multiply by 3

1 mile in 12 minutes

The integrand is 0, the integral evaluates to 0. the integral over the curve C is also 0.

To use Green's Theorem to evaluate the integral, we must first find the partial derivatives of the functions inside the integral. The partial derivative of ye^x-1 with respect to y is e^x, and the partial derivative of e^x with respect to x is e^x.

Next, we need to subtract the partial derivatives and evaluate the integral over the region inside the curve C. The region inside the curve is a semicircle of radius 10 centered at the origin, so we can use polar coordinates to evaluate the integral.

The integral becomes Int R e^x - e^x dA, where R is the region inside the semicircle. In polar coordinates, this becomes Int 0 to pi Int 0 to 10 (e^(r*cos(theta)) - e^(r*cos(theta)))r dr d(theta).

Since the integrand is 0, the integral evaluates to 0. Therefore, the integral over the curve C is also 0.

So, using Green's Theorem, we can evaluate the integral Int C (ye^x-1)dx+e^x dy as 0.

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Answer:

A. The lowest point of the hammock is at the point 1 meters above the ground and 3 meters from one end of the hammock

B. The two trees are 6 meters away from one another

Step-by-step explanation:

The given equation of the parabola representing the hammock is as follows;

y = 0.4·(x - 3)² + 1

The general equation of a parabola is a·(x - h)² + k;

Where the coordinates of the vertex point of the parabola, which is the lowest (or highest, furthest) point on the vertex is (h, k) = (3, 1)

Therefore, we have;

A, The coordinates of the lowest point on the hammock is (3, 1)

Therefore, the lowest point of the hammock is at 1 meters above the ground and 3 meters from one end of the hammock

B.  Given that the distance from one end is "x", we have;

The height at which the hammock is attached is given as the point where x = 0 as follows;

Given that the vertex of the parabola represents the axis of symmetry of the parabola, we have that the horizontal distance from one end of the hammock to the vertex point of the parabola that the hammock forms is (3 - 0) meters = 3 meters

Therefore, by the definition of symmetry, the distance from the vertex point to the other end of the parabola that the hammock forms is also 3 meters

From which we have, the distance the two trees are from one another is 3 meters + 3 meters = 6 meters.

The graphs cross at x=-1 and x=1. Those are the solutions to to the equation

We know that, If two functions are equal then there solution is the intersection point of the curves.

When we determine the graph the intersection points are (0,2) and (1,1.25).

The values of x of the intersection points are the solutions of the system

Using a graphing tool, there are two intersection points and therefore the solutions are x = -1 and x [ 1.

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Answer: 62

Step-by-step explanation:

The first four terms of the given sequence are 18, 10, 6, and 4 respectively.

A sequence is an ordered list object which related and connected by a common value.

There are many sequences. They are Arithmetic sequence, Geometric sequence, and so on.

It is given that,

The first term of the sequence is a1 = 18

And the terms of the sequence are related by,

a(n + 1) = (2 + an)/2

For n = 1;

a(1 + 1) = (2 + a1)/2

⇒ a2 = (2 + 18)/2 = 10

For n = 2;

a(2 + 1) = (2 + a2)/2

⇒ a3 = (2 + 10)/2 = 6

For n = 3;

a(3 + 1) = (2 + a3)/2

⇒ a4 = (2 + 6)/2 = 4

Thus, the first four terms of the given sequence are a1 = 18, a2 = 10, a3 = 6, and a4 = 4.

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Answer:It is a binomial experiment

Step-by-step explanation:

A binomial experiment is an experiment that has a fixed number of independent trials with only have two possible outcomes. This outcome could either be a yes or No.

example is when a coin is toss one can set it as either I will get a head or a tail.

The experiment is binomial because it has a fixed number of trial which is 3 calculator that has been picked,

It has two outcome which is either good or bad calculator and the each trial is independent of each other.

The student that has the half piece of paper with the greater area is blake.

Find the area that its outer surfaces possess. Sum of all those surfaces' area is the surface area of the considered object.

Given;

Tyler and Blake have rectangular pieces of paper with the same length and same width

Tyler cuts his paper horizontally through the middle

Blake cuts his paper along a diagonal

Now,

Let the length and breadth be y

Tylers half area= y*y/2=y^2/2

Blakes half area=1/2* \(\sqrt{3}\)y*\(\sqrt{3}\)y/2

=3y^2/4

Therefore, blakes piece of paper has more area.

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The given differential equation is a homogeneous equation of the first order. To solve it, we can use the substitution method. By letting y = vx, we can rewrite the equation and simplify it to a separable form.

After solving the resulting separable equation, we find the general solution in terms of x and y.

To solve the homogeneous differential equation (x² + y²)dx + 2xydy = 0, we can use the substitution method. Let's assume y = vx, where v is a function of x. Now, differentiate y with respect to x using the product rule: dy = vdx + xdv.

Substituting y = vx and dy = vdx + xdv into the given equation, we get (x² + (vx)²)dx + 2x(vx)(vdx + xdv) = 0.

Simplifying the equation, we have x²(1 + v²)dx + 2x²v^2dx + 2x³vdv = 0.

Combining like terms, we get x²(1 + v² + 2v^2)dx + 2x³vdv = 0.

This equation can be further simplified to (1 + 3v² + 2v^3)dx + 2xvdv = 0.

Now, we have a separable equation. We can separate the variables and integrate both sides to solve for v in terms of x. After finding v(x), we substitute it back into y = vx to obtain the general solution in terms of x and y.

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The measure of the angle at which the surveyor stands is approximately 41 degrees.To find the measure of the angle at which the surveyor stands, we can use the cosine rule.

The cosine rule relates the lengths of the sides of a triangle to the cosine of one of its angles. In this case, we have a triangle with side lengths of 200 meters, 300 meters, and 250 meters. Let's denote the angles opposite these sides as A, B, and C, respectively. Using the cosine rule, we have: cos(A) = (b^2 + c^2 - a^2) / (2bc). Let's calculate the cosine of angle A: cos(A) = (300^2 + 250^2 - 200^2) / (2 * 300 * 250) = (90000 + 62500 - 40000) / (150000) = 112500 / 150000 = 0.75.  To find the measure of angle A, we can take the inverse cosine (cos^−1) of 0.75: A ≈ cos^−1(0.75) ≈ 41°.

Therefore, the measure of the angle at which the surveyor stands is approximately 41 degrees.

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Answer:

Here is a screenshot of my graph.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The length of the base of an isosceles triangle is x. The length of the leg is 2x-2. The Perimeter of the triangle is 46. Find X.

2x - 2 + 2x - 2 + x = 46

5x - 2 - 2 = 46

5x = 50

x = 50 : 5

x = 10

The data distribution is skewed to the right. This is because the bars are clustered towards the left side of the histogram and taper off towards the right side.

The histogram of distances students live from school provided in the question shows that the majority of students in Tuan's homeroom live within a short distance of the school, with only a few students living farther away. The distribution is skewed to the right because the bars are clustered towards the left side of the histogram and taper off towards the right side. This indicates that there are fewer students who live farther away from school. A skewed distribution means that the data is not evenly distributed and tends to cluster towards one end. In this case, the distribution is skewed to the right because there are fewer students living farther away from school.

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Complete question is in the image attached below

Answer:

B. skewed.

Step-by-step explanation:

and then the next part is

1

hope this helps :)

Answer:

Step-by-step explanation:

The vertex form of an equation of the parabola:  

                                                         f(x) = a(x - p)² + q

vertex is (2, 4)  so  p = 2,  q = 4

so:

   f(x) = a(x - 2)² + 4

the parabola goes through the point (-5, 2) so  x=-5,  f(x)=2

  2 = a(-5-2)² + 4

  - 2 = a(49)

    a = -²/₄₉

Therefore the equation of the parabola in vertex form:

f(x) = -²/₄₉(x - 2)² + 4

If f(x) = 3x-4 and g(x) = x², find the value  of f(3) - g(2)

Given f(x) = 3x-4

Then value of f at x=3 ⇒ f(3) = 3(3) -4 = 9-4 = 5

And Given g(x) = x²

Then value of g at x=2 ⇒ g(2) = (2)² = 4

The value f(3) - g(2) = 5 - 4 = 1

Therefore, the value of f(3) - g(2)  is 1.

Answer:

The answer is 12

Step-by-step explanation:

Trust me, kay? Please mark Brainliest!!!!

Answer:

12.8

Step-by-step explanation:

16% of 80

\(\frac{16}{100}\) × 80

\(\frac{16}{10}\) × 8

\(\frac{16}{5}\) × \(\frac{4}{1}\)

16 × 4

5

12\(\frac{4}{5}\) = 12.8

\(\\ \sf\longmapsto sin44=\dfrac{x}{48}\)

\(\\ \sf\longmapsto 0.69=\dfrac{x}{48}\)

\(\\ \sf\longmapsto x=48(0.69)\)

\(\\ \sf\longmapsto x=33.12\)

__________

\( \: \)

Sin (44°) = x/48

0.69 = x/48

x = 48•0.69

x ≈ 33.12

Step-by-step explanation:

Given,

no. of students ride bikes to school = 5 students out of 32

no. of students ride bikes to school out of 800 students,

a/q the equation is,

\( \frac{800}{32} \times 5 = \frac{100}{4} \times 5 \\ \frac{500}{4} = 125\)

therefore, 125 out of 800 students rude bikes to school!

hope this answer helps you dear!

Answer:

x = {2,3,4}    (if x can only be positive whole numbers)

Step-by-step explanation:

For a triangle exists, the side lengths of the triangle must be such that the sum of the two shorter sides must be greater than the third side.

This also is equivalent to any two sides must have a sum greater than the third side.

So

7+10 > x^2, => x^2 < 17 => x < sqrt(17)     (maximum)

7+x^2 > 10, => x^2 >3 => x > sqrt(3)

Therefore

sqrt(3) < x < sqrt(17)

If x must be an integer,

2< x < 4, or x = {2,3,4}

Answer:

65 passengers

Step-by-step explanation:

260 passengers for 4 railcars

find the unit rate = divide by 4

260/4=65 passengers per railcar

Answer:

show the picture

Step-by-step explanation:

The closest estimate of 228 - 179 is 49.

Subtraction is a mathematical operation. Which is used to remove terms or objects in the expression.

Given:

The two numbers are 228 and 179.

128 and 179 are real positive integers.

And here we have to find the subtraction of 179 to 228.

In other words,

the difference between 228 and 179 is,

228 - 179

= 49

To verify the equation:

179 + 49 = 228.

That means, 49 is the required number.

And 49 is the whole number.

S0, 49 is the closest estimate.

Therefore, 49 is the required expression.

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The dot product \(u \cdot v\) is equal to 24. The magnitude of a vector \(u = a i + b j\) can be \(|u| = \sqrt{a^2 + b^2}\).

To find the scalar obtained by taking the dot product of vectors \(u\) and \(v\), we can use the formula:

\(u \cdot v = |u| \cdot |v| \cdot \cos(\theta)\),

where \(|u|\) and \(|v|\) represent the magnitudes of vectors \(u\) and \(v\), and \(\theta\) is the angle between the two vectors.

In this case, vector \(u\) is given as \(u = 15i + 9j\), and vector \(v\) is given as \(v = 4i - 4j\).

To calculate the dot product \(u \cdot v\), we need to find the magnitudes of \(u\) and \(v\) and the cosine of the angle between them.

The magnitude of a vector \(u = a i + b j\) can be calculated as:

\(|u| = \sqrt{a^2 + b^2}\).

For vector \(u = 15i + 9j\), the magnitude \(|u|\) is:

\(|u| = \sqrt{15^2 + 9^2} = \sqrt{225 + 81} = \sqrt{306}\).

Similarly, for vector \(v = 4i - 4j\), the magnitude \(|v|\) is:

\(|v| = \sqrt{4^2 + (-4)^2} = \sqrt{16 + 16} = \sqrt{32}\).

Next, we need to find the cosine of the angle between vectors \(u\) and \(v\). The cosine of an angle can be calculated using the dot product formula:

\(\cos(\theta) = \frac{u \cdot v}{|u| \cdot |v|}\).

Substituting the values, we have:

\(\cos(\theta) = \frac{(15 \cdot 4) + (9 \cdot (-4))}{\sqrt{306} \cdot \sqrt{32}} = \frac{60 - 36}{\sqrt{306} \cdot \sqrt{32}} = \frac{24}{\sqrt{306} \cdot \sqrt{32}}\).

Finally, to find the dot product \(u \cdot v\), we can multiply the magnitudes \(|u|\) and \(|v|\) with the cosine of the angle:

\(u \cdot v = |u| \cdot |v| \cdot \cos(\theta) = \sqrt{306} \cdot \sqrt{32} \cdot \frac{24}{\sqrt{306} \cdot \sqrt{32}} = 24\).

Therefore, the dot product \(u \cdot v\) is equal to 24.

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Answer:

60 minutes is 20% of 300 minutes

Step-by-step explanation:

let x be the number of total minutes

60 = 20% of x

20% = 1/5

60 = 1/5x

multiply both sides by 5

300 = x

x = 300 minutes

Answer:

50

Step-by-step explanation:

if im thinking right

im SOO sorrYYy if its wrong

Answer:

super find out how many of

Answer: 3 percent decrease. = 0% Increase or a 5 % decrease.

Step-by-step explanation: Sorry, I don't have an explanation!

A SSS (side-side-side) theorem is kind of Congruence rule where two triangles with three congruent sides. So, we can solve it by showing the congruency between two triangles.

Statement: Side-Side-Side (SSS) ,the congruence theorem states that two triangles are congruent if three of their sides are equal to the corresponding sides of the other triangle.

Proof: Given, AB = DE, BC = EF, AC = DF.

To prove: ΔABC ≅ ΔDEF.

We know that the three sides of both triangles are equal in size and length. With both triangles superimposed, DE is placed on AB, EF is placed on BC, and DF is placed on AC. That is, AB = DE, BC = EF, AC = DF. Therefore, we can say that ΔABC ≅ ΔDEF.

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