Convert 8 centimeters to millimeters.

Answer:

total number of students =60

Step-by-step explanation:

total number of students 60

used unfair means 1/3= 20

1/4 caught red handed 1/4 of 20= 5

Answer:

6

Step-by-step explanation:

To find how many perennials there are, multiply the amount of plants by the percent of perennials. When you multiply percents, just put the percent behind the decimal

60x0.35=21

There are 21 perennials

Do the same for the biennials:

60x0.25=15

Therefore 15 biennials

Subtract the amount of perennials from the amount of biennials

21-15=6

There is 6 more perennials than biennials

Answer:

the answer is 6

21-15=6

Step-by-step explanation.

35% of 60 = 21 for perenalis

25% of 60 = 15 for biennials

40% of 60 = 24 for annuals

a. Z-score formula

where,

• x: observed value

• μ: mean

• σ: standard deviation

Substituting with x = $275, μ = $280, and σ = $20, we get:

In terms of the z-score, we need to find

From the table:

Then, the percentage of customers that has daily balances of more than $275 is:

b. Substituting with x = $243, μ = $280, and σ = $20 into the z-score formula, we get:

In terms of the z-score, we need to find:

From the table, the percentage of customers that has daily balances of less than $243 is:

c. Substituting with x₁ = $241 and x₂ = $301.60, μ = $280, and σ = $20 into the z-score formula, we get:

In terms of the z-score, we need to find:

From the first table:

From the second table:

Therefore, the percentage of its customers' balances between $241 and $301.60 is:

Answer:

Relation 1 is a function. Relation 2 is not a function.

Step-by-step explanation:

If the domain is used more than once it is not a function. For example, in Relation 2, -3 was used twice.

The requried, relation 1 is a function, and Relation 2 is not a function, based on the condition of uniqueness in the domain-to-range mapping.

In Relation 1, it is stated that it is a function. This means that each input value (domain) is associated with exactly one output value (range), and there are no repeated domain values.

On the other hand, in Relation 2, it is mentioned that it is not a function. This is because the domain value of -3 is used twice, violating the requirement of a function where each input should have a unique output.

Therefore, Relation 1 is a function, and Relation 2 is not a function, based on the condition of uniqueness in the domain-to-range mapping.

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Answer:

y = 17/10x - 11/10

Answer:

79

Step-by-step explanation:14+11+2(12) = 24 + 14 + 11 = 79

Answer:

49

Step-by-step explanation:

14+11+2(12)

14+11+24

25+24

49

Answer:

7

Step-by-step explanation:

Answer:

I think the answer is 7.

Step-by-step explanation:

The answers to the following prompts are give as follows:

9 (c) the time taken for rocket to hit the ground is 5

10 (c) the maximum height is 4

11 (b) the solutions of 16x² - 64 = 0  are  -4 and 4

9) To find the time it takes the rocket to hit the ground, we need to find the value of s when h(s) = 0 since h(s) represents the height of the rocket.

So we need to solve the equation: -3s^2 + 6s + 45 = 0.

Factoring, we get -3(s - 5)(s + 3) = 0. So s = 5 or s = -3. Since time cannot be negative, we take s = 5.

Therefore, the answer is (c) 5.

10 ) The maximum height of the rocket occurs at the vertex of the parabola given by the function h(s) = -3s^2 + 6s + 45. The s-coordinate of the vertex is given by s = -b/2a, where a = -3 and b = 6. So s = -6/-6 = 1. Therefore, the answer is (a) 1.

11) We can solve the equation 16x² - 64 = 0 by factoring out the greatest common factor, which is 16: 16(x² - 4) = 0.

Then, we can factor the quadratic expression as a difference of squares: 16(x + 2)(x - 2) = 0. Therefore, the solutions are x = -2 and x = 2, and the answer is (b) -4 and 4.

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Answer:

(-1,4)

Step-by-step explanation:

Step 1) Change both equations to slope intercept form

3x+y=1 ---> y=-3x+1

5x+y=-1 ---> y=-5x-1

Step 2) Plot lines accordingly on graph

Lines intersect at (-1,4)

Answer:

  585 m

Step-by-step explanation:

You want to know the length of a field if the angle of depression from a point 1200 m above one end is 64° to the other end.

The tangent relation is ...

  Tan = Opposite/Adjacent

In this problem, the height of the plane is the side opposite the angle of interest, and the adjacent side is the length of the field. Solving for the adjacent side, we get ...

  length of field = (height of aeroplane) / tan(64°)

  length of field = (1200 m)/2.05030 ≈ 585.28 m

The field is about 585 meters long.

Check the picture below.

The solution to the problem is the simplified expression: 5x³ - x² - 3x + 13.

To solve the given problem, you need to simplify and combine like terms. Start by adding the coefficients of the same degree terms.

(3x³ - x² + 4) + (2x³ - 3x + 9)

Combine the like terms:

(3x³ + 2x³) + (-x²) + (-3x) + (4 + 9)

Simplify further:

5x³ - x² - 3x + 13

In this expression, the highest power of x is ³, and the corresponding coefficient is 5. The term -x² represents the square term, -3x represents the linear term, and 13 is the constant term. The simplified expression does not have any like terms left to combine, so this is the final solution.

Remember to check for any specific instructions or constraints given in the problem, such as factoring or finding the roots, to ensure you address all requirements.

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The value of

1. angle B = 66°

2. a = 14.3

3. b = 24.1

The sine rule states that if a, b and c are the lengths of the sides of a triangle, and A, B and C are the angles in the triangle; with A opposite a, etc., then a/sinA=b/sinB=c/sinC.

angle B = 180-(81+33)

B = 180 - 114

B = 66°

Using sine rule;

sinB/b = SinC /c

sin66/b = sin81/26

0.914/b = 0.988/26

b( 0.988) = 26 × 0.914

b = 23.764/0.988

b = 24.1

sinC/c = sinA /a

sin81/26 = sin33/a

0.988/26 = 33/a

a = 26×sin33/0.988

a = 14.3

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The work done along the given path is : K (1/4 - 1/√41)

Here, we have,

To find the work done as the particle moves along a straight line from

(4, 0, 0) to (4, 3, 4) under the influence of the force F(r)= Kr/∣r∣³, we need to calculate the line integral of the force over the given path.

The line integral of a vector field F along a curve C is given by:

W=∫_c F⋅dr

where dr is the differential displacement vector along the curve C.

In this case, the curve C is a straight line from (4, 0, 0) to (4, 3, 4).

To compute the line integral, we parameterize the curve C with a parameter t ranging from 0 to 1:

r(t)=(4,0,0)+t((4,3,4)−(4,0,0))

r(t)=(4,0,0)+t(0,3,4)

r(t)=(4,3t,4t)

Now, we can calculate the differential displacement vector dr by taking the derivative of r(t) with respect to t:

dr = dr/dt * dt = (0,3,4)dt

The dot product F⋅dr is given by:

F(r)= Kr/∣r∣³ ⋅(0,3,4)dt

    = K(4,3t,4t)/\((4^{2} + (3t)^{2} + (4t)^{2} )^{\frac{3}{2} }\)  ⋅(0,3,4)dt

To simplify the dot product, we evaluate r and F at each point:

r=(4,3t,4t)

F = K(4,3t,4t)/\((4^{2} + (3t)^{2} + (4t)^{2} )^{\frac{3}{2} }\)

Taking the dot product, we have:

F.dr = K(4,3t,4t)/\((4^{2} + (3t)^{2} + (4t)^{2} )^{\frac{3}{2} }\)  ⋅(0,3,4)dt

      = K(25t)/\((25t^{2} + 16 )^{\frac{3}{2} }\) dt

Now, we integrate the dot product over the curve from t=0 to t=1:

W = ∫₀¹ K(25t)/\((25t^{2} + 16 )^{\frac{3}{2} }\)  dt

now, integrating we get,

W = K (1/4 - 1/√41)

so, we have,

the work done along the given path is : K (1/4 - 1/√41)

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complete question:

The force exerted by an electric charge at the origin on a charged particle at a point (x, y, z) with position vector r = (x, y, z) is F(r) = Kr/|r|^3 where K is a constant. find the Work done as the particle moves along a straight line from (4,0,0) to (4,3,4).

The total money that Airand Electronics took on the first week of May is given as follows:

£23,776.

The total money that Airand Electronics took on the first week of May is obtained applying the proportions in the context of the problem.

The amounts are given as follows:

Hence the total amount is given as follows:

55 x 220 + 48 x 238 + 14 x 18 = £23,776.

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Answer:

You need to put the fractions for us to answer but fractions that are greater than 1/2 include: 3/4 and  4/7  and  basically any fraction that has a value greater than 0.5

Step-by-step explanation:

The function f has a range of [0, 2] if the domain of the function is limited to [0, 2]

From the question, the definition of the functions are given as

f(x) = x³ - 6x² + 9x

g(x) = 4

The domain of the function f(x) is limited to the interval

Domain = [0, 2]

This means that we calculate the function values at ends of the intervals

i.e. at x = 0 and x = 2

Substitute x = 0 and x = 2 in the equation f(x) = x³ - 6x² + 9x

So, we have

f(0) = 0³ - 6(0)² + 9(0)

f(0) = 0

Also, we have

f(2) = 2³ - 6(2)² + 9(2)

f(2) = 2

So, we have

Range = [f(0), f(2)]

This gives

Range = [0, 2]

Hence, the range of the function f is [0, 2]

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Hi there.

The answer is (x-2y-8)(x-2y-4)

Explanation:

\((x - 2y)^{2} - 12(x - 2y) + 32\)

Let (x-2y) = x

\( {x}^{2} - 12x + 32\)

Then factor the quadratic polynomial by 2 brackets factoring.

\((x - 8)(x - 4)\)

Then convert x to (x-2y)

\((x - 2y - 8)(x - 2y - 4)\)

Answer:

djejvjzjwjcxjsjejcjxjsn

Answer:

The answer is B

Step-by-step explanation:

A Vertical Line test.

a = ln(5) / ln(8/13) is a positive value that satisfies the conditions.

If the region 0 <= y <= \(5x^a\) with 0 <= x <= 1 has a constant density and its x-coordinate is 8/13, then we need to find a positive value of a so that the point\((8/13, 5 * (8/13)^a)\) lies within the region 0 <= y <= \(5x^a.\)

We know that\(0 < = y < = 5x^a, so 0 < = 5 * (8/13)^a < = 5 * (8/13)\). To ensure that the point\((8/13, 5 * (8/13)^a)\)lies within the region, we need to have 0 <= 5 *\((8/13)^a\) <= 5.

Taking the natural logarithm of both sides of\(5 * (8/13)^a\) <= 5 and using the change-of-base formula, we have:

a * ln(8/13) <= ln(5)

Dividing both sides by ln(8/13), we get:

a <= ln(5) / ln(8/13)

Since ln(5) and ln(8/13) are positive, a must also be positive to ensure that the point\((8/13, 5 * (8/13)^a)\) lies within the region.

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Answer:

First, Third, Fifth statements are true about the median of a data set. Step-by-step explanation: Median is the middle value . Median isn't affected much by one outlier because median is the middle value of an ordered sequences of value

Therefore , the solution of the given problem of unitary method comes out to be pace of 50 mph, Smith and Annie would have covered 275 miles in 5.5 hours.

The data from this nanosection should be compounded by two in order to complete the task using the unitary method. In essence, the marked by either a set or the pigment parts of the unit method are skipped when a desired object is present. For forty pens, a variable charge of Inr ($1.01) would be required. It's possible that one country will have total influence over the approach taken to accomplish this.

Here,

If the railroad were moving at 50 mph continuously, it would cover 50 miles in an hour.

Thus, the train's route in 5.5 hours would be as follows:

=> 275 miles =   50 mph *  5.5 hours.

Thus, if the train had been moving continuously at a pace of 50 mph, Smith and Annie would have covered 275 miles in 5.5 hours.

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The complete question is "If the train was traveling nonstop at speed of 50 mph, how many miles would Smith

and Annie have traveled in 5.5 hours ?"

Answer:

the answer is b

Step-by-step explanation:

they should have the same slope so just looking at that you cancel out d. But since it says has a y-intercept of 1 then it would cancel out the other 2. d is perpendicular to it not parallel

Answer:

b. \(y=5x+1\)

Step-by-step explanation:

Slope-intercept form:

\(y=mx+b\)

When two lines are parallel, their slopes are the same. Note the slope of the given equation:

\(y=5x+7\\\\m=5\)

The slope is 5, so the slope for the parallel equation will also be 5:

\(y=5x+b\)

Now insert the given y-intercept:

\(b=1\\\\y=5x+1\)

:Done

Answer:

A

Step-by-step explanation:

The product of expression 2x² - 3xy + y² and 2x - 4y will be;

⇒ 4x³ - 14x²y + 14xy² - 4y³

Option c is true.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The equations are,

2x² - 3xy + y² and 2x - 4y

Now,

The product of the expressions are find as;

⇒ (2x² - 3xy + y²) × (2x - 4y)

⇒ 2x²×2x - 2x² × 4y - 3×2×x²×y + 3xy×4y + y²×2x - y²×4y

⇒ 4x³ - 8x²y - 6x²y + 12xy² + 2xy² - 4y³

⇒ 4x³ - 14x²y + 14xy² - 4y³

Thus, The product of expression 2x² - 3xy + y² and 2x - 4y will be;

⇒ 4x³ - 14x²y + 14xy² - 4y³

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Step-by-step explanation:

Here we will, Provide index power 5 on both the sides, so that we can cancel out the 5th power root in the L.H.S

so we get as,

==> x+7 = (-2)^5

==> x+7 = -32

==> x = -32-7

==> x = -39

hence, x = -39

Option A.) is correct.

The regular polygon has 8 sides and an external angle of 45 degrees on each side.

A polygon (/pln/) is a closed polygonal chain made up of a finite number of straight line segments that are joined to form a planar figure in geometry (or polygonal circuit).

A polygon is a region that is bounded by a bounding circuit, a bounding plane, or both.

A polygonal circuit's segments are referred to as its edges or sides.

The polygon's vertices (plural: vertices) or corners are the places where two edges converge.

A solid polygon's body is another name for its inside.

A polygon with n sides is referred to as a "n-gon"; a triangle is an example of one.

Simple polygons do not overlap one another.

Mathematicians frequently focus on small polygons' bounding polygonal chains, and they frequently define.

According to our question-

Interior Angles-  Angles within a shape, usually a polygon, are referred to as the interior angles of that shape.

∴

Number of sides of a regular polygon

=360/45

8

Hence,  The regular polygon has 8 sides and an external angle of 45 degrees on each side.

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The paper clip costs $0.05 and the folder Costs $1.00 more, which is $1.05. Together, they add up to the total of $1.10.

Let's solve this problem step by step:

Let's assume the cost of the paper clip is x dollars.

According to the information given, the folder costs $1.00 more than the paper clip, so the cost of the folder would be (x + $1.00).

The total cost of the folder and the paper clip is $1.10, so we can write the equation:

x + (x + $1.00) = $1.10

Combining like terms, we have:

2x + $1.00 = $1.10

Subtracting $1.00 from both sides of the equation, we get:

2x = $0.10

Dividing both sides by 2, we find the value of x:

x = $0.10 / 2

x = $0.05

Therefore, the paper clip costs $0.05.

In summary, the paper clip costs $0.05 and the folder costs $1.00 more, which is $1.05. Together, they add up to the total of $1.10.

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