Multiply.

−3 2/3⋅(−2 1/4) ?


−8 1/4

−6 1/6

6 1/6

8 1/4

Answer:

14.25 packs per hour

Step-by-step explanation:

it is 4 hours from 2:00-5:00 so... 57÷4=14.25 packs per hour

Answer:

Step-by-step explanation:

1) w <  2200

< has a dash under it for question 1. < has a dash under it for question 1. < has a dash under it for question 1.

2 ) w < 60

Answer:

Increases slowly, increases quickly

Step-by-step explanation:

The first part of the graph is a slope that's not very steep, but in a positive direction. That means it's increasing slowly. The second segment has a much steeper slope, and it's going upwards, meaning it is increasing quickly.

I hope this helped!

Answer:

none of them the correct answer is (x,y) (5,0)

The fraction of pan of cranberry bars did Julian’s family eat is 5/16

Fraction of the whole pan of cranberry bars did Julian’s family eat = 5/8 of 1/2

= 5/8 × 1/2

= 5/16

Therefore, the fraction of pan of cranberry bars did Julian’s family eat is 5/16

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Answer:

x < 16

Step-by-step explanation:

4x - 8 < 56

4x - 8 + 8 < 56 + 8

4x < 64

4x/4 < 64/4

x < 16

Answer:

x < 16

Step-by-step explanation:

hope it helps

Answer:

4^3/8+3([ 4 ])-5^2

[ 64 ]/8+3([ 4 ])-5^2

[ 64 ]/8+3([ 4 ])-[ 25 ]

[ 64 ]/8+[ 12 ]-[ 25 ]

[ 8 ]+[ 12 ]-[ 25 ]

[ 20 ]-[ 25 ]

[ -5 ]

Answer:

The final answer is -5.

Step-by-step explanation:

4^3 / 8 + 3 (7-3) - 5^2

4^3 / 8 + 3( 4 ) - 5^2

64 / 8 + 3( 4 ) - 25

64 / 8 + 12 - 25

8 + 12 -25

20 - 25

= -5

So the first part you subtract the numbers in brackets.

Then you reduce the powers as in simplifying them.

From there you multiply 3 and 4.

Then you divide 64 and 8

After that you do the rest just as they are.

HOPE IT HELPED

Answer:

table b

Step-by-step explanation:

table b is the answer

Circle

Solve for area

A≈78.54m²

r Radius  

5

m

d

r

r

r

d

d

C

A

Solution

A=πr2=π·52≈78.53982m²

Answer:

25π or 78.54m²

Step-by-step explanation:

the area of a circle with a radius of 5m=πr²=π×5²=25π or 78.54m²

Answer:

$10

Step-by-step explanation:

The hardcover books are $12 each which would be $60 out of the $100. There are four more paperbacks meaning they would be $10 each and cost $40 total.

I hope this helped!!! :)

The price of hardcover book is $12.Identity equations and conditional equations are the two types of equations. All possible values of the variables result in an identity.

Equations come in two varieties: identities and conditional equations. All possible values of the variables result in an identity. Only certain combinations of the variables' values make a conditional equation true. An equation is created by joining two expressions with the equals sign ("=").

An equation is a mathematical statement that contains the symbol "equal to" between two expressions with identical values.as in 3x + 5 Equals 15, for instance. Equations come in a variety of forms, including linear, quadratic, cubic, and others. In this article, let's learn more about math equations.

Given ,

We suggest a set of equations for this situation:

Let a be the variable for the price of hardback books.

B: Make the variable for the price of paperback books.

The statement information we have indicates:

\(5a+4b=100\)

\(b=a-b\)

Adding the second equation to the first one results in:

\(5a+4(a-2)= 100\\5a+4 a- 8= 100\\9a =100+8\\9 a=108\\a=108/9\\a=12\)

Consequently, hardcover books are $12.

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The second derivative of the function f is expressed as f''(x) = x(x-3)^5(x-10)^2. This information provides insights into the behavior and critical points of the function.

The given expression, f''(x) = x(x-3)^5(x-10)^2, represents the second derivative of a function f with respect to the variable x. The second derivative provides valuable information about the behavior of the function, particularly regarding concavity and inflection points.

The equation indicates that the function has factors of x, (x-3)^5, and (x-10)^2. The term x indicates that the function includes a linear component, while the factors (x-3)^5 and (x-10)^2 suggest that the function may exhibit multiple inflection points and changes in concavity around x = 3 and x = 10.

The expression does not provide information about the original function f(x) or its first derivative f'(x), but it does give valuable insights into the higher-order behavior of the function and can help analyze critical points and concavity characteristics when combined with additional information about the function.

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Answer:

I aint never seen to pretty bestfreinds one of them always ugly

Step-by-step explanation:

Answer: dollars earned, y

Step-by-step explanation:

Answer:

Your weight...

Step-by-step explanation:

Answer:

  C.  142°

Step-by-step explanation:

You want the angle between vectors u=3i+√3j and v=-2i-5j.

There are a number of ways the angle between the vectors can be found. For example, the dot-product relation can give you the cosine of the angle:

  u•v = |u|·|v|·cos(θ) . . . . . . where θ is the angle of interest

You can find the angles of the vectors individually, and subtract those:

  u = |u|∠α

  v = |v|∠β

  θ = α - β

When the vectors are expressed as complex numbers, the angle between them is the angle of their quotient:

  \(\dfrac{\vec{u}}{\vec{v}}=\dfrac{|\vec{u}|\angle\alpha}{|\vec{v}|\angle\beta}=\dfrac{|\vec{u}|}{|\vec{v}|}\angle(\alpha-\beta)=\dfrac{|\vec{u}|}{|\vec{v}|}\angle\theta\)

This method is used in the calculation shown in the first attachment. The angle between u and v is about 142°.

A graphing program can draw the vectors and measure the angle between them. This is shown in the second attachment.

__

Additional comment

The approach using the quotient of the vectors written as complex numbers is simply computed using a calculator with appropriate complex number functions. There doesn't seem to be any 3D equivalent.

The dot-product relation will work with 3D vectors as well as 2D vectors.

<95141404393>

Completing the equalities using the given options, we have:

\(a) sin^(-1)(1) = 90°\\b) cos^(-1)(1/2) = 60°\\c) tan^(-1)(√3) = 60°\)

a) \(sin^(-1)(1) = 90°\)

The inverse sine function, \(sin^(-1)(x)\)gives the angle whose sine is equal to x. In this case, we are looking for the angle whose sine is equal to 1. The angle that satisfies this condition is 90 degrees, so\(sin^(-1)(1) = 90°\).

b) \(cos^(-1)(1/2) = 60°\)

The inverse cosine function, cos^(-1)(x), gives the angle whose cosine is equal to x. Here, we are looking for the angle whose cosine is equal to 1/2. The angle that satisfies this condition is 60 degrees, so \(cos^(-1)(1/2)\)= 60°.

c) \(tan^(-1)(√3) = 60°\)

The inverse tangent function, tan^(-1)(x), gives the angle whose tangent is equal to x. In this case, we are looking for the angle whose tangent is equal to √3. The angle that satisfies this condition is 60 degrees, so tan^(-1)(√3) = 60°.

Completing the equalities using the given options, we have:

\(a) sin^(-1)(1) = 90° b) cos^(-1)(1/2) = 60°c) tan^(-1)(√3) = 60°\)

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a) The completed equalities are:

sin-¹(x) = 30°, sin-¹(x) = 45°, sin-¹(x) = 60°

b) The completed equalities are:

cos-¹(x) = 30°, cos-¹(x) = 45°, cos-¹(x) = 60°

c) The completed equalities are:

tan-¹(x) = 30°, tan-¹(x) = 45°, tan-¹(x) = 60°. C.

a) sin-¹(x) = 30°, 45°, 60°

The inverse sine function, sin-¹(x), gives the angle whose sine is equal to x.

Let's find the angles for each option given:

sin-¹(x) = 30°:

If sin-¹(x) = 30°, it means that sin(30°) = x.

The sine of 30° is 0.5, so x = 0.5.

sin-¹(x) = 45°:

If sin-¹(x) = 45°, it means that sin(45°) = x.
The sine of 45° is √2/2, so x = √2/2.

sin-¹(x) = 60°:

If sin-¹(x) = 60°, it means that sin(60°) = x.

The sine of 60° is √3/2, so x = √3/2.

The completed equalities are:

b) cos-¹(x) = 30°, 45°, 60°

The inverse cosine function, cos-¹(x), gives the angle whose cosine is equal to x.

Let's find the angles for each option given:

cos-¹(x) = 30°:

If cos-¹(x) = 30°, it means that cos(30°) = x.

The cosine of 30° is √3/2, so x = √3/2.

cos-¹(x) = 45°:

If cos-¹(x) = 45°, it means that cos(45°) = x.
The cosine of 45° is √2/2, so x = √2/2.

cos-¹(x) = 60°:

If cos-¹(x) = 60°, it means that cos(60°) = x.

The cosine of 60° is 0.5, so x = 0.5.

Therefore, the completed equalities are:

c) tan-¹(x) = 30°, 45°, 60°

The inverse tangent function, tan-¹(x), gives the angle whose tangent is equal to x.

Let's find the angles for each option given:

tan-¹(x) = 30°:

If tan-¹(x) = 30°, it means that tan(30°) = x.

The tangent of 30° is 1/√3, so x = 1/√3.

tan-¹(x) = 45°:

If tan-¹(x) = 45°, it means that tan(45°) = x.

The tangent of 45° is 1, so x = 1.

tan-¹(x) = 60°:

If tan-¹(x) = 60°, it means that tan(60°) = x.

The tangent of 60° is √3, so x = √3.

The completed equalities are:

tan-¹(x) = 30°, tan-¹(x) = 45°, tan-¹(x) = 60°. c)

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Answer:

270$

Step-by-step explanation:

According to the given information, the sample period should be from 2010-2020.

a) Model specification

The model specification based on the scenario above is as follows:

SDF= f(T, TI, NL)

Where: SDF= Sustainable Development Framework

T= Tourism

TI= Technological innovation

NL= National leadership

b) Justification for the selection of the dependent and independent variables model:

Dependent variable: The dependent variable in this model is Sustainable Development Framework (SDF). The model seeks to develop a framework for sustainable development that would facilitate growth, environmental and socio-cultural sustainability.

Independent variables:

The independent variables are tourism sustainability, technological innovation, and quality of leadership. These variables drive economic development. The inclusion of tourism sustainability reflects its importance in the global economy and its potential to drive growth.

The inclusion of technological innovation reflects its potential to enhance productivity and create new industries. The inclusion of national leadership reflects the role of governance in promoting sustainable development and managing negative externalities.

c) Justification for the selection of the sample period:

The sample period should be selected based on the availability of data for the variables of interest. Ideally, the period should be long enough to capture trends and patterns in the data. However, it should not be too long that the data becomes obsolete or no longer relevant.

Additionally, the period should also reflect the context and relevance of the research question. Therefore, the sample period for this study should cover the last decade to capture the trends and patterns in the data and reflect the relevance of the research question.

The sample period should be from 2010-2020.

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Answer:

\(= \frac{2m^2n^8}{3}\)

Step-by-step explanation:

Given expression is

\((\frac{4m^{-2}n^8}{9m^{-6}n^{-8}} )^{\frac{1}{2}\)

The correct simplified form is shown below:-

From the above equation, we will simplify

we will shift \(m^{-6}\) to the numerator and we will use the negative exponent rule, that is

\(= (\frac{4m^{-2}n^8m^6}{9n^{-8}} )^{\frac{1}{2}\)

now we will shift the \(n^{-8}\) to the numerator and we will use the negative exponent rule, that is

\(= (\frac{4m^{-2}n^8m^6n^8}{9} )^{\frac{1}{2}\)

here we will solve the above equation which is shown below

\(= (\frac{4m^4n^{16}}{9}) ^\frac{1}{2}\)

So,

\(= (\frac{(2)^2(m^2)^2(n^8)^2}{(3)^2} ^\frac{1}{2}\)

Which gives result

\(= \frac{2m^2n^8}{3}\)

The data represent a quadratic function.

What is a quadratic equation?

A quadratic equation is a second-order polynomial equation with a single variable such as x, where ax²+bx+c=0. with a ≠ 0 . Given that it is a second-order polynomial equation, the algebraic fundamental theorem ensures that it has at least one solution. Real or complicated solutions are both possible.

To calculate the second difference,

select 3 consecutive y-values, and then subtract the first y-value from the second and the second y-value form the third. Then find the difference of these two resulting values . If all second differences are equal, the data represent a quadratic function.

1) -7,-5, -1

second y value  - first y-value = 2

third   y value  -   second y value = 4

difference of these two resulting values  = 2

2) -5,-1,5

second y value  - first y-value = 4

third   y value  -   second y value = 6

difference of these two resulting values  = 2

The data represent a quadratic function.

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Hey there!

Problem A.
((-10)^3 * 6)^3

= ((-10)(-10)(-10) * 6)^3

= (100(-10) * 6)^3

= (-1,000 * 6)^3

= (-6,000)^3

= (-6,000)(-6,000)(-6,000)

= 36,000,000(-6,000)

= 216,000,000,000

Thus, your answer is: 216,000,000,000

Problem B.
(3^2/5)^3

= (3 * 3 / 5)^3

= (9/5)^3

= 9/5(9/5)(9/5)

= 9 * 9 * 9 / 5 * 5 * 5

= 81 * 9 / 25 * 5

= 729 / 125

≈ =5 104 / 125

≈ 5.832

Thus, your answer is:

5.832 , 5 104/125, or 729 / 125

EITHER OF THOSE SHOULD BE CORRECT BECAUSE THEY ARE EQUIVALENT TO EACH EACH OTHER!

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

-5

Step-by-step explanation:

Answer:

Eighth half-hour

Step-by-step explanation:

Given pattern:

Calculate the differences between the number of bows used:

\(12\underbrace{}_{-3}9\underbrace{}_{+5}14\underbrace{}_{-3}11\underbrace{}_{+5}16\)

Therefore, the pattern for the bows used is:

If the pattern continues:

\(12\underbrace{}_{-3}9\underbrace{}_{+5}14\underbrace{}_{-3}11\underbrace{}_{+5}16\underbrace{}_{-3}13\underbrace{}_{+5}18\underbrace{}_{-3}15\underbrace{}_{+5}20\)

Create a table with the given and found data, and add a cumulative total column:

\(\begin{array}{c|c|c}\vphantom{\dfrac12} \textsf{Half Hour} & \textsf{Bows used per half hour} & \sf Cumulative\; total\\\cline{1-3} \vphantom{\dfrac12} \sf 1st & 12 & 12\\\vphantom{\dfrac12} \sf 2nd &9 &21 \\\vphantom{\dfrac12} \sf 3rd & 14&35 \\\vphantom{\dfrac12} \sf 4th & 11& 46\\\vphantom{\dfrac12} \sf 5th & 16& 62\\\vphantom{\dfrac12} \sf 6th & 13& 75\\\vphantom{\dfrac12} \sf 7th &18 & 93\\\vphantom{\dfrac12} \sf 8th & 15& 108\\\vphantom{\dfrac12} \sf 9th & 20& 128\\\end{array}\)

If Clifford has a total of 100 bows, he will run out of bows during the eighth half-hour.

Answer:

u = 24, v = 92, and w = 184

Step-by-step explanation:

According to circle theorem, we have;

∠ACD = ∠ABD = 88° by angle inscribed in a circle and also subtending the same chord

∠DOA = 2 × ∠ABD by angle subtended at the center = 2 × Angle subtended at the circumference

∴ ∠DOA = 2 × ∠ABD = 2 × 88° = 176°

w° + ∠DOA = 360  by the sum of angles at a point

∴ w° = 360° - ∠DOA = 360° - 176° = 184°

w° = 184°

w° = 2 × v° by angle subtended at the center = 2 × Angle subtended at the circumference

∴ v° = w°/2 = 184°/2 = 92°

v° = 92°

In triangle ΔCDY and ΔABY, we have;

∠ABD = ∠ABY by reflexive property

∠ACD = ∠ACY by reflexive property

∠ACD = ∠ABD = 88°

∴ ∠ABY = 88°

∠CYD = ∠AYB  by vertically opposite angles are equal

∴ ∠CYD = 68° = ∠AYB

u° + ∠ABY + ∠AYB = 180° by angle sum property

∴ u° = 180° - (∠ABY + ∠AYB)

u° = 180° - (88° + 68°) = 24°

u° = 24°.

Rounding off the value of X to the nearest whole number, we get that approximately 35 people would be expected to have consumed alcoholic beverages among 50 randomly selected 18-20 year-olds.

In exercise 3.25, it was learned that about 69.7% of 18-20 year-olds consumed alcoholic beverages in 2008.

Now, consider a random sample of fifty 18-20 year-olds.

It is required to calculate the number of people who would be expected to have consumed alcoholic beverages.

Let X be the number of people who have consumed alcoholic beverages out of 50 randomly selected 18-20 year-olds.

Let p be the proportion of 18-20 year-olds who consumed alcoholic beverages in 2008.

Therefore, the sample proportion is given as \hat{p}

Hence, p=0.69 \hat{p}=X/50

Now, by the properties of the sample proportion, E(\hat{p})=p

Therefore,

E(\hat{p})=E(X/50)

Thus, p=E(X/50) Or, X=50p

Substituting the value of p, we have

X=50(0.697)=34.85

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Answer: (5x−2)(x+1)

If I Helped, Please Mark Me As Brainliest, Have A Great Day :D

Answer:

Factor by grouping.

( 5 x − 2 ) ( x + 1 )

Step-by-step explanation:

Answer:

Step-by-step explanation:

1) 4x -3

x = -7 ;

4x - 3 = 4*(-7) - 3 = - 28 - 3 = -31

x = 14 ;

4x - 3 = 4*14 - 3 = 56 - 3 = 53

x = 0

4x - 3 = 0 - 3 = -3

2) 6 -3x

x = -7 ;

6 - 3x = 6 - 3*(-7) = 6 + 21 = 27

x = 14

6 - 3x = 6 - 3*14 = 6 - 42 = -36

x = 0

6 - 3x = 6 - 0 = 6

\(3) \dfrac{3x - 21}{7}\\\\x = -7\\\\\\\dfrac{3*(-7)-21}{7}=\dfrac{-21-21}{7}=\dfrac{-42}{7}=-6\\\\\\x = 14\\\\\dfrac{3*14-21}{7}=\dfrac{42-21}{7}=\dfrac{21}{7}=3\\\\\\x=0\\\\\dfrac{0-21}{7}=\dfrac{-21}{7}=-3\\\\\)

4)

\(\dfrac{3x}{7}-21\\\\\\x = -7\\\\\dfrac{3*(-7)}{7}-21=-3-21=-24\\\\\\x =14\\\\\dfrac{3*14}{7}-21=3*2-21=6-21=-15\\\\\\x=0\\\\\dfrac{0}{7}-21=-21\)

To implement the function ar{x_0}ar{x_1} + x_0x_1 using an 8:1 multiplexer (mux) with inputs x_2 - x_0 and connections to power and ground, you would connect x_0 to select2, x_1 to select1, and x_2 to select0. Connect power to the select input, and ground to the remaining select inputs.

In a multiplexer, the select inputs determine which input is routed to the output. In this case, we want to implement the function ar{x_0}ar{x_1} + x_0x_1. The select inputs of the mux need to be set such that the desired function is achieved.

To connect the inputs of the mux, we start by connecting x_0, the least significant bit (LSB) of the function, to the select input select2. This means that when select2 is low (0), x_0 will be selected as the output. Next, we connect x_1, the middle bit of the function, to the select input select1. When select1 is low (0), x_1 will be selected as the output.

Finally, we connect x_2, the most significant bit (MSB) of the function, to the select input select0. When select0 is low (0), x_2 will be selected as the output. This configuration ensures that the function ar{x_0}ar{x_1} + x_0x_1 is implemented correctly.

Additionally, it's important to connect power to the select input to ensure proper functioning of the multiplexer. The select inputs need a valid voltage level to work correctly, and connecting them to a power source (usually labeled VCC) ensures this. Ground, which is typically labeled GND, should be connected to the remaining select inputs to complete the circuit and provide a reference voltage level.

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