A 56-inch board is cut into two pieces. One piece is three times the length of the other. Find the length of the shorter piece.​

Answer:

A, C, E

Step-by-step explanation:

Welcome :)

The value of s for the given value is 24.05.

Given is an equation v² = u²+2gs, we need to find the value of s if v = 25, u = 12 and g = 10,

So,

25² = 12² + 2(10)s

625 = 144 + 20s

20s = 481

s = 24.05

Hence the value of s for the given value is 24.05.

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To find the point on the surface 6x = y^2 + z^2 where its tangent plane is parallel to a given plane, we need to find a point on the surface and determine the normal vector of the surface at that point.

Then, we can compare the normal vector of the surface to the normal vector of the given plane to check if they are parallel.

Let's first find a point on the surface by substituting a value for either y or z and solving for x. Let's choose y = 0:

6x = 0^2 + z^2

6x = z^2

x = z^2/6

So, one point on the surface is (z^2/6, 0, z).

To find the normal vector of the surface at this point, we can calculate the partial derivatives with respect to x, y, and z:

∂/∂x (6x) = 6

∂/∂y (y^2 + z^2) = 0

∂/∂z (y^2 + z^2) = 2z

The normal vector is then N = (6, 0, 2z) = (6, 0, 2z) / ||(6, 0, 2z)||, where ||N|| represents the magnitude of N.

To determine if the tangent plane is parallel to a given plane, we compare the normal vector of the surface to the normal vector of the given plane. If they are parallel, their direction vectors should be proportional.

If the given plane is parallel to the xy-plane and has a normal vector N_1 = (0, 0, 1), we can compare it to the normal vector of the surface. In this case, we see that the z-component of N (2z) is not proportional to the z-component of N_1 (1). Therefore, the tangent plane of the surface at the chosen point is not parallel to the given plane.

To find a point on the surface where its tangent plane is parallel to the given plane, we would need to choose a different point on the surface such that the normal vector of the surface at that point is parallel to the given plane's normal vector.

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Answer:

A

Step-by-step explanation:

I got this answer hope it work.

Answer:

56%, 4/5, 1.07, 5/4

Step-by-step explanation:

5/4=1.25

56%=0.56

1.07

4/5=0.8

so the order is

56%, 4/5, 1.07, 5/4

The resulting equivalent value of (f-g)(5) is 27

Given the functions below

f(x) = -2x - 7 and;
g(x) =-4x + 3

The composite function (fog)(x) is expressed as:

(fog)(x) = f(g(x))

(fog)(x) = f(-4x + 3)

(fog)(x) = -2(-4x + 3) - 7

(fog)(x) = 8x - 6 -7

(fog)(x) = 8x - 13

Substitute x = -5 into the equivalent to havea;

(fog)(5) = 8(5) - 13

(fog)(5) = 27

Hence the value of the composite function is equivalent to 27

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Answer:

54 + 30n     Can i get brainliest? :))

Step-by-step explanation:

distribute -6 with -9 and 5n

-6 * -9 = 54

-6 * 5n = -30n

54+30n (simplified)

Answer:

6 inches

Step-by-step explanation:

area of square = 48 x 3 / 4 = 36 in^2

side = 6 in

Answer:

6 in

Step-by-step explanation:

The volume formula for a square-base pyramid of side length x and height h is V = (1/3)x²h.  We want to solve this for the base side length x:

Multiplying both sides by (3/h) results in:

3V

----- = x²       and so the side length, x, is √(3V/h).

 h

Substituting 4 in for h and 48 in³ for V, we get:  x = √(144 in³/4 in) = 6 in

Check:  Does the volume formula given above result in 48 in³ when x = 6 in and h = 4 in?

V = (1/3)x²h  = (1/3)(6 in)²(4 in) = 48 in³        YES:  x =  6 in is correct.

Answer:

2 and 5

Step-by-step explanation:

2×5 = 10 or visa versa

10 ÷5=2

10 ÷2 =5

The required exact surface area of the cylinder is 2\(\pi\)r(r+h).

To calculate the surface area of the cylinder, the required measurement of the radius (r) of the base of the given cylinder and height (h) of the cylinder.

The  formula to find the lateral surface area of a given cylinder is 2\(\pi\)rh and the formula to find the surface area of  a given cylinder is 2\(\pi\)r(r+h).

Let the radius of the base of the cylinder be f and height of the cylinder be g then the lateral surface of cylinder is 2\(\pi\)fg, the surface area of  a given cylinder is 2\(\pi\)f(f+g).

Hence, the required exact surface area of the cylinder is 2\(\pi\)r(r+h).

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Answer:

The Human Side of Human Beings

The Fundamentals of Co-Counseling Manual

How to Begin "Re-evaluation Counseling"

The Human Situation

Working Together to End Racism

Guidelines for the Re-evaluation Counseling Communities

Step-by-step explanation:

a. Using intersection of events probability of FUA is 0.0165

b. Using complement rule, the probability of F'UA is 0.9835

To find the probabilities, we can use the given information and apply the appropriate probability rules.

(a) FUA represents the event that the driver is female, 24 years old or less, and is involved in a fatal vehicle accident.

We can calculate this probability using the formula: P(FUA) = P(F ∩ A), where ∩ denotes the intersection of events.

P(FUA) = P(F) * P(A|F)

Given information:

P(F) = 0.2868 (probability that the driver is female)

P(A) = 0.1828 (probability that the driver is 24 years old or less)

P(A|F) = 0.0576 (probability that the driver is 24 years old or less given that the driver is female)

P(FUA) = 0.2868 * 0.0576 ≈ 0.0165

Therefore, the probability of FUA is approximately 0.0165.

(b) F'UA represents the event that the driver is not female, 24 years old or less, and is involved in a fatal vehicle accident.

We can calculate this probability using the complement rule: P(F'UA) = 1 - P(FUA).

P(F'UA) = 1 - P(FUA) ≈ 1 - 0.0165 ≈ 0.9835

Therefore, the probability of F'UA is approximately 0.9835.

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The coordinates of the vertex for the parabola defined by the given quadratic function is `(-2, -8)`.

The vertex for the parabola defined by the given quadratic function can be found using the formula `(-b/2a, f(-b/2a))`.

From the question above, the function: `f(x) = 4x² + 16x + 8`

To find the vertex, we need to express it in the standard form `f(x) = a(x - h)² + k`

where (h, k) is the vertex and a is the coefficient of the squared term.

To do this, we can complete the square:

`f(x) = 4(x² + 4x) + 8` `f(x) = 4(x² + 4x + 4 - 4) + 8`

`f(x) = 4((x + 2)² - 4) + 8` `

f(x) = 4(x + 2)² - 8`

Now we have the equation in the standard form, where a = 4, h = -2 and k = -8.

Thus, the vertex is: `(-2, -8)`

Therefore, the coordinates of the vertex for the parabola defined by the given quadratic function is `(-2, -8)`.

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Given Data: Width of slab, W = 6mLength of slab, L = 6mThickness of slab, d = 25mm or 0.025m Characteristic compressive strength of concrete, f’c = 28 MPa Yield strength of steel.

fy = 414 MPa Diameter of reinforcement bar, φ = 12 mm Calculation of rebar spacing for top column strip:

First, calculate the effective depth of the slab. Effective depth (d) is given by;d = thickness of slab – cover – diameter of reinforcement bars Consider the cover as 20mm or 0.02mThen effective depth will be;

d = 0.025 – 0.02 – (12/2) × 10^-3= 0.003 m.

Now, calculate the moment of resistance of the slab with a single layer of reinforcement bars. Moment of resistance is given by;

M = f’c × b × d^2 / 6where b is the width of the slab Therefore,

M = 28 × 6 × (0.003)^2 / 6= 0.00168 MN-m.

The maximum moment in the top column strip is given by the relation;

M1 = (M – M2) / 2where M2 is the moment of the support Given that the panel has adjacent slabs on all sides, the slab will be simply supported on all edges Therefore, M2 = W × L^2 / 12= 6 × 6^2 / 12= 18 MN-m Therefore, M1 = (0.00168 – 18) / 2= -8.99916 MN-m.

The tensile force in the top layer of reinforcement bars is given by the relation;T1 = M1 / z where z is the distance of the reinforcement bar from the top layer of the slab.

Assuming that reinforcement bars are provided at 150mm spacing then the number of reinforcement.

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Answer:

-k

Step-by-step explanation:

Cos(140)=cos(180-40)=-cos(40)=-k

Answer:

Step-by-step explanation:

Sin (90 - A)  = Cos A

Cos (90 + A) =   -Sin A

Sin 50 = Sin (90 - 40)

          = Cos 40

         = k

Cos 140 = Cos (90 + 50)

             = - Sin 50

            = (- k)

The rate of increase of the distance 14.2 inches per year

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

Rate of increase = 3 centimeters per month.

There are 12 months in a year

So, we have the following representation

Rate of increase = 3 centimeters per 1/12 year

This gives

Rate of increase = 36 centimeters per year

Next, we convert centimeters to inches

This gives

Rate of increase = 36/2.54 inches per year

Evaluate

Rate of increase = 14.2 inches per year

Hence, the rate is 14.2 inches per year

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Since the limit of F(x) is infinity, we can conclude that F(x) = logx xlogx 5 grows at the same rate as logx as x approaches infinity. Therefore, F(x) = logx xlogx 5 is not ω(logx).

A function is a relation between sets that assigns to each element of a first set, exactly one element of the second set. Functions are typically written as an equation, with the first set (the domain) on the left side and the second set (the range) on the right side. The most common type of function is a function from real numbers to real numbers, which is often referred to as a real-valued function. Examples of real-valued functions include linear, polynomial, exponential, and trigonometric functions.


False. F(x) = logx xlogx 5 is not ω(logx). ω(logx) is a notation used to denote a function that grows faster than logx as x approaches infinity. However, F(x) = logx xlogx 5 grows at the same rate as logx as x approaches infinity. To prove this, we can calculate the limit of F(x) as x approaches infinity:

lim F(x) = lim (logx xlogx 5)

= lim (logx xlogx) lim 5

= ∞∞ 5

= ∞

Since the limit of F(x) is infinity, we can conclude that F(x) = logx xlogx 5 grows at the same rate as logx as x approaches infinity. Therefore, F(x) = logx xlogx 5 is not ω(logx).

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Answer:

Number 11 =???

Number 12 = b.18/66

Number 13 = d.64

When every length in the cylinder is decreased by 60%, the volume of the cylinder decreases by approximately 85.6%.

Let's assume the original diameter and height of the cylinder are both represented by "d". The original volume of the cylinder can be calculated as V = π * (d/2)^2 * d.

When every length in the cylinder is decreased by 60%, the new diameter and height become 0.4d (40% of the original value). The new volume of the cylinder can be calculated as V' = π * (0.4d/2)^2 * (0.4d).

To find the percent decrease in volume, we can calculate (V - V') / V * 100.

Substituting the values, we have:

Percent decrease in volume = [(V - V') / V] * 100

Percent decrease in volume = [(π * (d/2)^2 * d - π * (0.4d/2)^2 * (0.4d)) / (π * (d/2)^2 * d)] * 100

Simplifying further, we get:

Percent decrease in volume = [(1 - 0.4^3) / 1] * 100

Evaluating the expression, we find:

Percent decrease in volume ≈ 85.6%

Therefore, the volume of the cylinder decreases by approximately 85.6% when every length is decreased by 60%.

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Answer:

A

Step-by-step explanation:

it is like your hands hold your hand put to make a l shape that is 90⁰ and imaine that more opened out.

Answer:pretty sure its C

Step-by-step explanation:

The sampling technique used for this situation is given by:

c) Cluster.

Samples may be classified as:

In this problem, the population is divided into groups, and each element of the groups are survived, hence cluster sampling was used.

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Therefore, the ARPPU (Average Revenue Per Paying User) for Extinguish the Fiery Chicken is $5.00.

ARPPU stands for Average Revenue Per Paying User. To calculate the ARPPU, we need to find the average revenue generated per user who made a purchase.

Given:

Total revenue: $40,000

Unique users: 200,000

Conversion rate: 4% (or 0.04)

To find the number of paying users, we multiply the total number of unique users by the conversion rate:

Paying users = Unique users * Conversion rate = 200,000 * 0.04 = 8,000

Now, we can calculate the ARPPU by dividing the total revenue by the number of paying users:

ARPPU = Total revenue / Paying users = $40,000 / 8,000 = $5.00

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If this is the one you are talking about then:

horizontal translation of 3 units is:     y= f(x-3)

vertical stretch by a scale factor of 3 is:     y= 3f(x)

reflection over the x-axis is:     y= -f(x)

vertical translation of 3 units is:     y= f(x)+3

Step-by-step explanation:

Adding a value to f(x) translates the graph of f vertically. So, the equation that shows a vertical translation of 3 units is y = f(x) + 3.

Adding a value to the input, x, of f(x) translates the graph of f horizontally. So, the equation that shows a horizontal translation of 3 units is y = f(x − 3).

Multiplying f(x) by a negative value reflects the graph of f over the x-axis. So, the equation that shows a reflection over the x-axis is y = -f(x).

Multiplying f(x) by a constant, k, vertically stretches the graph of f by a scale factor of k. So, the equation that shows a vertical stretch by a scale factor of 3 is y = 3f(x).

The answer is Numeric.

What measurement scale is this?

There are mainly two types of variables

Numerical(quantitative): observations that can be measured in numerical form

Agin two types: ratio scale and interval scale

Categorical(qualitative ): named categories

Again two types: Ordinal or nominal

Her in the given an example,

Measured time of race have  numerical observations

The measurement scale is Numeric.

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ANSWER :

139 feet

EXPLANATION :

The surveyor is 150 feet away from the base of the pole.

The transit is 4 feet tall and the angle of elevation to the top of the pole is 42 degrees.

The illustration will be :

We have a right triangle with an angle of 42 degrees.

The side opposite to the angle is x and the side adjacent to the angle is 150

Using Tangent function :

The height of the pole is x + 4

That will be 135 + 4 = 139 ft

The coordinates of vertex A' of the image include the following: d. (1, 0).

In Mathematics and Geometry, a dilation is a type of transformation which typically changes the size of a geometric object, but not its shape.

Next, we would have to dilate the coordinates of the preimage by using a scale factor of 0.25 centered at the point F (3, 1) by using the following mathematical expression:

(x, y)  →  (k(x - a) + a, k(y - b) + b)

For coordinate A', we have;

Coordinate A' = (-5, -3)  →  (0.25(-5 - 3) + 3, 0.25(-3 - 1) + 1)

Coordinate A' = (-5, -3)  →  (0.25(-8) + 3, 0.25(-4) + 1)

Coordinate A' = (-5, -3)  →  (-2 + 3, -1 + 1)

Coordinate A' = (-5, -3)  →  (1, 0)

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Complete Question:

Triangle ABC will be dilated according to the rule \(D_{F, 0.25(x,y)}\), where point F is the center of dilation.

What will be the coordinates of vertex A' of the image?

a. (-8,-4)

b. (-2,-1)

c. (0, 0)

d. (1, 0)

The employee that had the largest dollar amount in sales for the month of December is (b) the straight commission employee

Commission is simply a payment that is paid to an employee, based on the sales made by the employee.

The table is given as:

Employee A: 2000+3% on all sales

                     December 4.4

Employee B: 7% on all sales

                      December 5.6

Employee C: 5% on the first 40,000+ 8% on anything over 40,000

                      December 5.2

The total pay received by each employee is calculated as follows:

\(A = 2000 + 3\% \times 44000 = 3320\)

\(B = 7\% \times 56000 = 3920\)

\(C = 5\% \times 40000 + 8\% \times (52000 - 40000) = 2960\)

By comparing the results of the above computation;

3920 is greater than 3320 and 2960

Hence, employee B received the largest amount in sales in December

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Answer:

A. The salary plus commission employee.

Step-by-step explanation: