geometry work find the value of b

The smallest number of the data set is -2

The range of a data set is the difference between the largest number and smallest number in the data set. It is a simple measure of variability that gives an idea of how spread out the data is.

Range = largest number - smallest number

32 = 30 - smallest number

smallest number = 30 - 32 = -2

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Complete Question

The range of a data set is 32. If the largest number in the set is 30. what is the smallest number?

The  IRS form is provided at the end of the year by employers, so employees can use it to file taxes is Form W-2.

Form W-2 can be described as the form that is been offered from the  Internal Revenue Service which can be considered as the (IRS) tax form .

It should be noted that this form is been used in the United States so that the wages that is been paid to employees  as well as their taxes can be reported. withheld from them

It should be noted that the form is been provided  when the year is coming to an end by employers.

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Answer:

a = 20°

b = 160°

c = 125°

u = 110°

v = 70°

w = 110°

x = 70°

y = 110°

z = 110°

Step-by-step explanation:

Theorems

Using the Vertical Angles Theorem:

⇒ a = 20°

Using the Angles on a straight line Theorem:

⇒ 20° + b = 180°

⇒ b = 180° - 20°

⇒ b = 160°

Using the Vertical Angles Theorem:

⇒ c + 35° = b

⇒ c + 35° = 160°

⇒ c = 160° - 35°

⇒ c = 125°

Using the Vertical Angles Theorem:

⇒ u = 110°

⇒ v = 70°

Using the Same-side Exterior Angles Theorem:

⇒ v + w = 180°

⇒ 70° + w = 180°

⇒ w = 180° - 70°

⇒ w = 110°

Using the Corresponding Angles Postulate:

⇒ y = 100°

Using the Vertical Angles Theorem:

⇒ y = z = 110°

Using the Angles on a straight line Theorem:

⇒ x + z = 180°

⇒ x + 110° = 180°

⇒ x = 180° - 110°

⇒ x = 70°

A car can travel 10.6 kilometers on one liter of gasoline. So, 296.8 kilometers can the car travel on 28 liters of gasoline

A car can travel 10.6 kilometers on one liter of gasoline.

To determine car travel on 28 liters of gasoline.

1 liter = 10.6 kilometers

28 liters = 10.6 kilometers /1 liter * 28 liters = 296.8

Therefore, 296.8 Kilometers can the car travel on 28 liters of gasoline.

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The measure of angle Q is equal to 40°.

A triangle is a three-sided polygon with three angles. It is a fundamental geometric shape and is often used in geometry and trigonometry. In Geοmetry, triangles are the type οf pοlygοns, which have three sides and three vertices.

This is a twο-dimensiοnal figure with three straight sides. A triangle is cοnsidered a 3-sided pοlygοn. The sum οf all the three angles οf a triangle is equal tο 180°. The triangle is cοntained in a single plane. Based οn its sides and angle measurement, the triangle has six types.

Using Cos θ = adjacent/ Hypotenuse

Cos Q = 720/ 940

Cos Q = 36/47

Q = arccos 36/47

Q = 40.007793734°

Thus, The measure of angle Q is equal to 40°.

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If the base of the solid is bounded by the curves f(x) = x2 and g(x) = x + 2 and the cross-sections perpendicular to the x-axis are rectangles of height 3 then the volume of the given solid is 9 cubic units.

The volume of the given solid can be found using the method of slicing, where we first determine the area of each cross-sectional rectangle and then integrate it over the specified region.

The base of the solid is bounded by the curves f(x) = x^2 and g(x) = x + 2. To find the region between these curves, we can set them equal to each other and solve for x:

x^2 = x + 2
x^2 - x - 2 = 0
(x - 2)(x + 1) = 0

This gives us two points of intersection: x = 2 and x = -1.

Now, let's find the length of the base of each rectangle, which is the difference between the y-values of the two curves:

Base length = g(x) - f(x) = (x + 2) - x^2

Since the height of each rectangle is given as 3, the area of each rectangle can be calculated as:

Area = Base length * Height = [(x + 2) - x^2] * 3

To find the volume of the entire solid, we integrate the area of the rectangles along the x-axis, between the intersection points -1 and 2:

Volume = ∫[3((x + 2) - x^2)] dx from -1 to 2

Evaluating this integral, we get:

Volume = 3[(x^2/2 + 2x - x^3/3)] from -1 to 2 = 9 cubic units

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The board with a length of 4.8 feet would require 5 pounds of pressure to break.

An equation is an expression that shows the relationship between two or more numbers and variables. An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.

Let p represent the pressure and l represent the length.

l ∝ 1/p

l = k/p (k is constant)

When l = 3, p = 8, hence:

3 = k/8

k = 24

For p = 5:

l = k/p = 24/5 = 4.8 feet

The board with a length of 4.8 feet would require 5 pounds of pressure to break.

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The slope of the line shown in the graph is __2/3__

and the y-intercept of the line is __6___

The general linear equation is written as follows:

y = ax + b

Where a is the slope and b is the y-intercept.

On the graph we can see that the y-intercept is y = 6, then we can write the line as:

y = ax + 6

The line also passes through the point (-9, 0), replacing these values in the line we will get:

0 = a*-9 + 6

9a = 6

a = 6/9

a = 2/3

That is the slope.

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Answer:

Around 31.4

Step-by-step explanation:

The circumference formula of a circle is C=2\(\pi\)r. Plug the radius in which is 5. 5 times 2 is 10. 10 times pi would be around 31.4

Answer:

y = 1/4x + 4

Step-by-step explanation:

y = mx + b

Since the lines are parallel, the slope is the same. m = 1/4

y = 1/4x + b

Substitute (4,5)

5 = 1/4(4) + b

5 = 1 + b

4 = b

The y-intercept is (0, 4).

y = 1/4x + 4

Answer:

B. (x-5)²+(y+1)² = 49

Step-by-step explanation:

An equation of a circle with center (h, k) and radius r is

\( \large \boxed{ {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} }\)

We have all given information we need. Our h is 5 - Our k is -1 and our radius is 7

Substitute these values in

\( \large{ {(x - 5)}^{2} + {(y - ( - 1))}^{2} = {7}^{2} } \\ \large{ {(x - 5)}^{2} + {(y + 1)}^{2} = {7}^{2} } \\ \large{ {(x - 5)}^{2} + {(y + 1)}^{2} = 49 }\)

So the answer is B choice.

Answer:

I would say its the bottom one

Step-by-step explanation:

The top one goes to five while the bottom only goes to four, plus you cant have a negative amount of people you can only have from 0 to infinity amount of people.

Answer:

It's the second line

Because people can only be counted from zero.

On differentiating the differential equation dz = 2x²y³ dx + 3x³y² dy, it is obtained to be an inexact equation.

What is differential equation?

Any equation with one or more terms and one or more derivatives of the dependent variable with respect to the independent variable is referred to as a differential equation.

The differential equation given is -

dz = 2x²y³ dx + 3x³y² dy

A linear differential equation of form dz = f1(x,y)dx + f2(x,y)dy is said to be exact if ∂f1 / ∂y = ∂f2 / ∂x.

In the given equation f1 = 2x²y³ and f2 = 3x³y².

Differentiate f1 with respect to y.

∂f1 / ∂y = d/dy (2x²y³)

= 2x² × d/dy (y³)

= 2x² × 3y² = 6x²y²

Differentiate f2 with respect to x.

∂f2 / ∂x = d/dx (3x³y²)

= 3 × d/dx (x³y²)

= 9x²y²

So, it is obtained that ∂f1 / ∂y ≠ ∂f2 / ∂x.

Therefore, the equation is inexact.

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The probability that the schools in Los Angeles will be closed for four days next year is 0.1680.

In order to comprehend separate events that happen at a steady pace over the course of a specified amount of time, Poisson's distributions are frequently utilized.

Formula for Poisson's distribution:

f(x) = ((λ^x)/x!).(e^(-λ))

x = Event to be calculated for

λ = Expected number of occurrences

P(X = x) = ((λ^x)/x!).(e^(-λ))

Here λ = 3 and x = 4

P(X = 4) = (81 / 4!).(e^(-3))

P(X = 4) = (81 * e^(-3))/24

P(X = 4) = (81 * 0.049)/24

P(X = 4) = 0.1680

Hence, the probability that schools in Los Angeles will be closed for four days next year is 0.1680.

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The correct reaction profile is it applies to both SN1 and E1 reactions.

The term reaction is defined as a process in which one or more substances, also called reactants, are converted to one or more different substances, known as products

Here we have know that in a chemical reaction and then a transition state is a state that exists between reactants and intermediates or products directly,

Here in which bonds are concurrently breaking and forming new ones.

And it is extremely unstable and highly energetic.

We know that both intermediates and transition states are the states that are present between the reactants and the reaction's end products, on the other hand they differ in that intermediates have full bonds, are more stable than the substrate and therefore have a lower energy and have a discrete lifetime,

Here we know that instead of a transition state has only partial bonds and is least unstable, thus making it the state with the highest energy at the reaction profile.

Therefore the correct option is (a).

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Answer:

Step-by-step explanation:

\(\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}\)

Step-by-step explanation:

pls mark me as brainliest

a)The probability mass function of a arbitrary variable X is a function that gives possibilities to each possible value of X. The value of a is  0. b)  E(XY) =  1 and X and Y are independent random variables.

a) The probability mass function( PMF) of a random variable X is a function that assigns chances to each possible value of X. It gives the probability of X taking on a specific value.

The PMF f( x) = ( 1- a) * \(a^{x}\), where x = 0, 1, 2, 3.

To determine the values of a for which f( x) will be provided as the PMF, we need to ensure that the chances add up to 1 for all possible values of x.

Let's calculate the sum of f( x)

Sum( f( x)) = Sum(( 1- a) * \(a^{x}\)) = ( 1- a) * Sum( \(a^{x}\)) = ( 1- a) *( 1 +a+ \(a^{2}\)+ \(a^{3}\).....)

Using the formula for the sum of an infifnite geometric progression( with| a|< 1), we have

Sum( f( x)) = ( 1- a) *( 1/( 1- a)) = 1

For f( x) to serve as a valid PMF, the sum of chances must be equal to 1. thus, we have

1 = ( 1- a) *( 1/( 1- a))

1 = 1/( 1- a)

1- a = 1

a = 0

thus, the value of a for which f( x) = ( 1- a) *\(a^{x}\), can serve as the PMF is a = 0.

b) To find E( XY) and determine the dependence or independence of X and Y, we need to calculate the joint anticipated value E( XY) and compare it to the product of the existent anticipated values E( X) and E( Y).

Given the common probability viscosity function( PDF) f( x, y) = \(e^{-(x+y)}\) for x ≥ 0 and y ≥ 0, we can calculate E( XY) as follows

E( XY) = ∫ ∫( xy * f( x, y)) dxdy

Integrating over the applicable range, we have

E( XY) = ∫( 0 to ∞) ∫( 0 to ∞)( xy * \(e^{-(x+y)}\)) dxdy

To calculate this integral, we perform the following steps:

E(XY) = ∫(0 to ∞) (x\(e^{-x}\) * ∫(0 to ∞) (y\(e^{-y}\)) dy) dx

The inner integral, ∫(0 to ∞) (y\(e^{-y}\)) dy, represents the expected value E(Y) when the marginal PDF of Y is integrated over its range.

∫(0 to ∞) (y\(e^{-y}\)) dy is the integral of the gamma function with parameters (2, 1), which equals 1.

Thus, the inner integral evaluates to 1, and we have:

E(XY) = ∫(0 to ∞) (x\(e^{-x}\)) dx

To calculate this integral, we can recognize that it represents the expected value E(X) when the marginal PDF of X is integrated over its range.

∫(0 to ∞) (x\(e^{-x}\)) dx is the integral of the gamma function with parameters (2, 1), which equals 1.

Therefore, E(XY) = E(X) * E(Y) = 1 * 1 = 1.

Since E(XY) = E(X) * E(Y), X and Y are independent random variables.

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Answer:

60%

Step-by-step explanation:

Answer:

2 5/6

Step-by-step explanation:

is the answer i believe.

have a great day!

Answer:

88

Step-by-step explanation:

create a proportion:

8/15 = x/165

cross-multiply:

15x = 1320

x = 88

Answer:

87

Step-by-step explanation:

Sequence 1 has common difference of 4 and sequence 2 has 7

The first terms are common

We need a new sequence with common difference of:

So the next common term is 1+28= 29 and the following one is 29+28= 57

Sum of 3 terms:

Answer:

87

Step-by-step explanation:

The first sequence:

1, 5, 9, 13, 17, 21, 25, 29, 33, 37, 41, 45, 49, 53, 57, 61...

The second sequence:

1, 8, 15, 22, 29, 36, 43, 50, 57, 63...

The first three common terms are 1, 29, 57.

The sum of the first three common terms:

1 + 29 + 57

= 87

Because the sine and cosine ratios involve dividing a leg (one of the shorter two sides) by the hypotenuse (the longest side), the ratio values will never be greater than one, because (some number) / (a larger number) is always less than one.

Sine & cosine are trigonometric functions of an angle in mathematics. In the context of a right triangle, the sine and cosine of an acute angle are defined as follows: for the specified angle, the sine is the ratio of the length of the side opposite that angle to the length of the triangle's longest side (the hypotenuse), and the cosine is the ratio of the length of the adjacent leg to that of the hypotenuse.

The sine and cosine functions for an angle θ are simply denoted as sin θ and cos θ. In general, the definitions of sine and cosine can be extended to any real value expressed in terms of the lengths of specific line segments in a unit circle.

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The NPV is positive, it is worth taking the Investment.

Net Present Value (NPV) is an assessment method that determines the attractiveness of an investment. It is a technique that determines whether an investment has a positive or negative present value.

This method involves determining the future cash inflows and outflows and adjusting them to their present value. This helps determine the profitability of the investment, taking into account the time value of money and inflation.The formula for calculating NPV is:

NPV = Σ [CFt / (1 + r)t] – CIWhere CFt = the expected cash flow in period t, r = the discount rate, and CI = the initial investment.

The given problem can be solved by using the following steps:

Calculate the present value (PV) of the expected cash inflows:

Year 1: $28,000 / (1 + 0.08)¹ = $25,925.93Year 2: $28,000 / (1 + 0.08)² = $24,009.11Year 3: $28,000 / (1 + 0.08)³ = $22,173.78Total PV = $72,108.82

Calculate the PV of the initial investment: CI = $7,000 / (1 + 0.08)¹ + $35,000 / (1 + 0.08)²CI = $37,287.43Calculate the NPV by subtracting the initial investment from the total PV: NPV = $72,108.82 – $37,287.43 = $34,821.39

Since the NPV is positive, it is worth taking the investment.

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Answer:

29th term = 76.4

Step-by-step explanation:

Total terms = 55

aₙ = a + (n - 1) d

5th term = a₅ = 14

   a + (5 - 1)*d = 14

   a + 4d = 14  --------------------(I)

last term = a₅₅ = 144

               a + (55 - 1)d = 144

      a + 54d = 144----------------(II)

Multiply equation (II) by (-1)

(I)             a +  4d = 14

(II)*(-1)     -a - 54d = -144  {Now add and thus a will be eliminated}

                   -50d = -130

 d = -130/-50

d = 2.6

Plug in d = 2.6 in equation (I)

a + 4* 2.6 = 14

  a  + 10.4 = 14

              a = 14 - 10.4

              a = 3.6

29th term = a₂₉ =  3.6 + (29 - 1)* 2.6

                          = 3.6 + 28* 2.6

                          = 3.6 + 72.8

                     a₂₉ =  76.4

Answer:

76.4

Step-by-step explanation:

Let the first term and common difference of the AP be a and D respectively.

\(t_5 = 14 \implies \: a + 4d = 14....(1) \\ t_{55} = 144 \implies \: a + 54d = 144....(2) \\ subtract \: eqution \: (1) \: from \: equatin \: (2) \\ \\ a + 54d - (a + 4d) = 144 - 14 \\ a + 54d - a - 4d = 130 \\ 50d = 130 \\ d = \frac{130}{50} \\ \huge \red{ \boxed{ d = 2.6}} \\ substituting \: d = 2.6 \: in \: equation \: (1) \\ \\ a + 4 \times 2.6 = 14 \\ a + 10.4 = 14 \\ a = 14 - 10.4 \\ \huge \purple{ \boxed{ a = 3.6}} \\ \\ t_{29} = a + 28d \\ t_{29} = 3.6 + 28 \times 2.6 \\ t_{29} = 3.6 + 72.8 \\\huge \orange{ \boxed{ t_{29} = 76.4}} \\ \)

Answer: M=2

y-intercept = (0,7)

x-intercept = (-7/2,0)

Step-by-step explanation:

The slope is already given in the equation, which is 2

M=2

y-intercept = (0,7)

x-intercept = (-7/2,0)

Answer:

Step-by-step explanation:

For x:

8x = 18 - 2y

x = (18 - 2y)/8

For y:

2y = -8x + 18

y = -4x + 9

Answer:

The number that would have to be added to "complete the square" is 4. This is because the equation can be rewritten as (x + 2.5)² = -4.5, and the number that needs to be added to both sides of the equation to make the left side a perfect square is 4.

Answer:

1.89 x 5.42 x 5.2 inches

Step-by-step explanation:

Use your calculator or multiply it yourself, times all of them together.

Answer:

It is a picture of colors

Step-by-step explanation:

hopefully you can get it ;)

The matrix B that organizes the data is given as follows:

B = [13, 36, 27,

      10, 15, 0,

       23, 51, 27].

The matrix that shows the total value of each cap size in each location is given as follows:

C = [247, 684, 513,

      190, 285, 0,

      437, 969, 513].

The matrix B is defined considering that it will have three rows and three columns, as follows:

Then the matrix B is defined as follows:

B = [13, 36, 27,

      10, 15, 0,

       23, 51, 27].

The cost of each baseball cap is of $19, thus the cost matrix is obtained multiplying the matrix B by the constant of 19.

When a matrix is multiplied by a constant, all the elements of the matrix are multiplied by the constant, hence the cost matrix is given as follows:

C = [247, 684, 513,

      190, 285, 0,

      437, 969, 513].

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