For the set D = {3, 5, 7},determine n(D). n(D) =

The height of the cylinder whose surface area is given would be = 85 yards.

The cylinder is a type of shape that has three sides which consists of two opposite circles that are joined by a curved surface.

To calculate the height of a cylinder, the formula that should be used is given as follows:

Surface area of cylinder = 2πrh + 2πr²

radius = 29 yards

surface area = 20,761.68 square yards

height = ?

That is ;

20,761.68 = 2×3.14× 29×h + 2×3.14× 29×29

20,761.68 =182.12h + 5281.48

182.12h = 20,761.68-5281.48

182.12h = 15480.2

h = 15480.2/182.12

= 85 yards

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Answer:

100% ~ 605

20% ~ 121

120% ~ 726

The restaurant sells 726 burgers in July.

We know that

• The quarterback backs yo 5 yards (negative number).

• He falls back another 6 yards more (negative number).

To know the total number of yards the quarterback felt back, we just need to sum these negative numbers.

The value of angle BAC is  43.5⁰.

The value of arc angle BC is  96⁰.

The value of angle 1 is 10⁰.

The value of angle BAC is calculated as follows;

m∠ BAC = ¹/₂ (BMC) (angle at center is half of the angle at circumference)

m∠ BAC = ¹/₂ ( 87 )

m∠ BAC = 43.5⁰

The value of arc angle BC is calculated by applying intersecting chord theorem as follows;

arc BC = 2 x m∠BAC (interior intersecting secants)

arc BC = 2 x 48⁰

arc BC = 96⁰

The value of angle 1 is calculated as follows;

m∠1 = ¹/₂ ( 85⁰ - (360 - (140 + 85 + 70) )

m∠1 = ¹/₂ (85 - 65 )

m∠1 = ¹/₂ (20)

m∠1 = 10⁰

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Answer: 0.75

Step-by-step explanation:

Answer:

B. 5 + 2(3 + 2x) = x + 3(x + 1)

Step-by-step explanation:

5 + 6 + 4x = x + 3x + 3

11 + 4x = 4x + 3

4x - 4x = 3 - 11

0 = - 8

There are no solutions.

Answer:

A

4(x+3)+2x=6(x+2)

4x+12+2x=6x+12

6x+12=6x+12

6x-6x=12-12

0=0

The perimeter of this square with an area x is four times the square root of x i.e P = 4√x.

The intercept of this function is (0, 0).

The domain and range of this function are [0, ∞].

The function is increasing.

In Mathematics and Geometry, the perimeter of a square can be calculated by using the following formula;

P = 4s

Where:

For the area of a square, we have:

x = s²

s = √x

By substituting the given parameters into the formula for the perimeter of a square, we have the following;

Perimeter of a square, P = 4s

Perimeter of a square, P = 4 × √x

Perimeter of a square, P = 4√x

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answer 2/3

check the attachments for more info

hope it helps :)

The functions f(x) and g(x) are equal for the x = 2/3

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given that, are two functions, f(x) = -3x + 4 and g(x) = 2, we need to find the value of x for which both are equal,

So,  

For f(x) = g(x) we should equate the two functions to get the value of x.

f(x) = g(x)

-3x + 4 =  2

-3x + 4 - 4 = 2 - 4

-3x = -2

Dividing by -3 on both sides;

(-3x)/-3 = (-2)/-3

x = 2/3

Hence, the  functions f(x) and g(x) are equal for the x = 2/3

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Based on these considerations, it is necessary to assess the specific layout plan and the surrounding environment to determine whether the copier is suitably placed in room (3) at Hills Secondary.

To determine whether the copier is suitably placed in room (3) at Hills Secondary, we need to consider factors such as accessibility, noise, and convenience.

Firstly, we need to evaluate the accessibility of the copier in room (3). Is it easily accessible for all students and staff who need to use it? If the copier is located in a central position within the school or close to high-traffic areas, it would be considered suitable.

However, if it is tucked away in a corner or not easily visible, it may cause inconvenience and hinder access for users.

Secondly, we should consider noise levels. Copiers can be noisy machines, and if room (3) is located near classrooms or areas where students require a quiet environment, it may not be an ideal placement. Noise disturbances could disrupt learning activities and cause distractions.

Lastly, convenience plays an important role. Room (3) should be spacious enough to accommodate the copier and allow users to operate it comfortably. If the room is cramped or lacks proper ventilation, it may cause inconvenience for users and impact the overall workflow.

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Answer:

Step-by-step explanation:

A ) Let p be the probability of getting affected . Probability of not getting affected be q

p = .3 , q = .7

If n be the member of family , probability that x children will be affected will be given by the expression

p(x) = ⁿCₓ pˣqⁿ⁻ˣ

n = 2 , x=2

p(2) = ²C₂ .3².7²⁻²

= 1 x .09 x 1 = .09

B )

p(1) = ²C₁ .3¹.7²⁻¹

=  2 x .3 x .7

= .42

C ) x = 0

p (0) = ²C₀ .3⁰.7²⁻⁰

=  1 x 1 x .49

= .49

D ) Let A be the probability that older child is affected and B be the probability that younger child is affected

P( A /B ) = P(A∩B) / P(B )

= .09 / .42

= .214

Answer: 2nd option

Step-by-step explanation:

To find -2u. (v + w).

First replace the values and then use the order of operations:

-2u. (v + w)

-2(2i – j)(( -5i + 4j)+( j)=

-2(2i – j)(-5i +5j)

-4i +5j(-5i +5j)

20i² -20ij - 25ij + 25j²

20i² -45ij + 25j²

Answer:

(-3,2)

Step-by-step explanation:

The vertex of an upwards facing parabola is the minimum

The minimum is -3 for the x value and 2 for the y value

(-3,2)

Answer:

Step-by-step explanation:

a) The factor of the exponential function p(t) = 4000(1.03)^x is of 1.03, representing a growth rate of 3%.

b) The initial value of the exponential function b(t) = 8000(0.98)^x is of 8000.

c) The b-value of the exponential function m(t) = 975(0.92)^t is of 0.92.

The standard definition of an exponential function is given as follows:

y = ab^x.

In which the parameters are listed and explained as follows:

Hence each function for this problem is compared to the standard notation to obtain the terms.

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Answer:

Step-by-step explanation:

Balloons = B

b = booths = b

Formula

B = 2b + 18

B = 2 *12 + 18

B = 24 + 18

B = 42

Balloons needed = 42

Answer:

Step-by-step explanation:

(2x + 3)(3x - 2) + (3 - 4x)(2x + 3) - 4x² + 9     FOIL the first and second set of parentheses.

6x² - 4x + 9x - 6 + 6x + 9 - 8x² - 12x - 4x² + 9   Combine like terms

-6x² - x + 12     Factor.

(-3x + 4)(2x + 3)

\( \sf \longrightarrow \: 5 \bigg( \: n - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{n}{1} - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{10 \times n - 1 \times 1}{1 \times 10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{10n - 1}{ 10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: \: \frac{50n - 5}{ 10} = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: \: 2(50n - 5) =1(10) \\ \)

\( \sf \longrightarrow \: \: 2(50n - 5) =10 \\ \)

\( \sf \longrightarrow \: \: 100n - 10=10 \\ \)

\( \sf \longrightarrow \: \: 100n =10 + 10\\ \)

\( \sf \longrightarrow \: \: 100n =20\\ \)

\( \sf \longrightarrow \: \:n = \frac{2 \cancel{0}}{10 \cancel{0}} \\ \)

\( \sf \longrightarrow \: \:n = \frac{1}{5} \\ \)

Answer:-

To solve the equation \(\sf 5(n - \frac{1}{10}) = \frac{1}{2} \\\) for \(\sf n \\\), we can follow these steps:

Step 1: Distribute the 5 on the left side:

\(\sf 5n - \frac{1}{2} = \frac{1}{2} \\\)

Step 2: Add \(\sf \frac{1}{2} \\\) to both sides of the equation:

\(\sf 5n = \frac{1}{2} + \frac{1}{2} \\\)

\(\sf 5n = 1 \\\)

Step 3: Divide both sides of the equation by 5 to isolate \(\sf n \\\):

\(\sf \frac{5n}{5} = \frac{1}{5} \\\)

\(\sf n = \frac{1}{5} \\\)

Therefore, the solution to the equation \(\sf 5(n - \frac{1}{10})\ = \frac{1}{2} \\\) is \(\sf n = \frac{1}{5} \\\), which corresponds to option (d).

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Answer:

it call enlargement and similarities and for the boxes they are showing u that u will work for scale factor and it with the boxes

Answer:

OOk

Step-by-step explanation:

Answer:

(-5, -7) and the x-axis

Step-by-step explanation:

when looking for a point that is 7 points away, we are looking for a difference of 7 in either the x-value or the y-value.

[remember: a point is written as (x, y) ]

We know that the x-value is -7, meaning that it is 7 units under the x-axis (meaning that it is 7 units away)

We know that our point, (2 , -7) has the same y-value as (-5, -7), so we are looking for a change in x. The difference (which is the change) between:

-5 and 2 is 7

(2 - (-5) = 2 + 5 = 7)

so, both the x-axis and the point (-5, -7) are 7 units away from (2, -7)

(the other point (-7, 7) is not near (2 , -7) at all--they have a larger difference on both the y-values, the x-values, and the length of if you made a diagonal line)

(I've attached an image to help you visualize what we're doing)

hope this helps!!

Answer:

120 different words

Step-by-step explanation:

The max longest word has 4 letters

So the word can consist of 1 letter. The number of such wordds is 3 (A,O or M)

The word can consist also of 2 letters ( letters can be repeated in the word-

the word like AA or MM are possible). The number of such words is 3*3=9

The word can consist also of 3 letters ( letters can be repeated in the word-

the word like AMA or MMM are possible). The number of such words is 3*3*3=27

The word can consist also of 4 letters ( letters can be repeated in the word-

the word like AAAA or MAOM are possible). The number of such words is 3*3*3*3=81

So total number of words is 3+9+27+81=120

The graph of g(x) = 4x, is the translation of f(x) by subtracting 3.5 units, 2 of 3.

A graph can be defined as a pictorial representation or a diagram that represents data or values.

The cost can be modeled by the function f(x)=4x+3.5, where x represents the number of games bowled.

As per the given question, the required solution would be as:

g(x) = 4x , is the translation of f(x) by subtracting 3.5 units, 2 of 3.

The graph of g(x) would be identical to the graph of f(x), but shifted 3.5 units downward, 3 of 3.

This is because the flat fee for the rental of bowling shoes is not present in the function g(x), so the y-intercept of the graph would be at (0,-3.5) instead of (0,0) in f(x) function.

The slope and the shape of the function will remain the same.

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Answer:

2 points

Step-by-step explanation:

The horizontal distance between points A(-2.5, -1.5) and B(-0.5, -1.5) is 2.

A coordinate plane is a two-dimensional surface formed by two number lines. It is formed when a horizontal line (the X-axis) and a vertical line (the Y-axis) intersect at a point called the origin. The numbers on a coordinate grid are used to locate points.

The given coordinate points are A(-2.5, -1.5) and B(-0.5, -1.5).

Here, the horizontal distance is 2 units

Therefore, the horizontal distance between points A(-2.5, -1.5) and B(-0.5, -1.5) is 2.

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The smallest angle of the equilateral triangle is 60 degrees

If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.

To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.

For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:

Smallest angle \(= \frac{180}{3} = 60\)\) degrees.

Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).

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The term that refers to the use of communication messages that demonstrate confidence, dominance, and forcefulness to achieve personal goals is "assertiveness".

Assertiveness is a communication style that involves expressing one's opinions, needs, and feelings in a clear and respectful manner, while also respecting the opinions, needs, and feelings of others. It involves standing up for oneself and being confident in one's abilities, while also being open to feedback and willing to compromise when necessary. Assertiveness can be an effective communication style in many situations, as it allows individuals to communicate their needs and achieve their goals while also maintaining positive relationships with others.

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