It is estimated that each guest at a party will eat 3/8pounds of chocolates. How many guests can be served with 12 pounds of chocolate?

The internal angles of a triangle are always added together to make 180°. The inner angles in a quadrilateral are always added up to 360 degrees. This characteristic can be used to determine other angles.

Describe a quadrilateral using an example?

Four sides, four angles, and four vertices make up a quadrilateral, which is a type of polygon. Latin words "quadri," which means four, and "latus," which indicates side, are the roots of the English word "quadrilateral."

                      A quadrilateral is demonstrated in the illustration above. Four sides make up the ABCD quadrilateral: AB, BC, CD, and DA.

The five fundamental quadrilaterals are:

Quadrilaterals come in five different shapes: rectangle, square, parallelogram, trapezium or trapezoid, and rhombus.

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ANSWER:

True

STEP-BY-STEP EXPLANATION:

When the function is multiplied by - there is a reflection in the x-axis.

If the number is greater than one there is a vertical stretch but if it is between 0 and 1 there is a vertical compression.

7/3 is a number greater than one, so there is vertical stretch.

Which means that the statement is true.

Answer:

let the integers be n, n+2 and n+4

5(n+4) = 2(n + n+2) +42

5n +20 = 4n +4+42

n = 46 -20 = 26

Step-by-step explanation:

I think

The linear function f with the given values f(0) = 2, f(3) = -1 is f(x) = -x + 2.

What is Linear Function?

A straight line on the coordinate plane is represented by a linear function.

The linear function formulas are:

Here, we have

The given functions are f(0)=2 and f(3) = -1

For f(0) = 2

Coordinate: (0,2)

y-intercept, c: 2

For f(3) = -1

Coordinate: (3,-1)

gradient or slope, m when x₁ = 0, y₁ = 2, x₂ = 3, y₂ = -1

=( y₂-y₁)/(x₂-x₁)

= ( -1 -2)/(3 - 0)

= -3/3

= -1

The linear equation is in the slope-intercept form, y=mx+c

f(x) = -x+2, where -1 is the slope and 2 is the y-intercept.

Hence, The linear function f with the given values f(0) = 2, f(3) = -1 is f(x) = -x + 2.

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Data collected at the same, or approximately the same point in time are  Cross- sectional data

In statistics and econometrics, cross-sectional data, or a cross section of a study population, is a type of data gathered by monitoring numerous subjects (such as individuals, firms, countries, or regions) at one point or throughout the course of time. It's also possible that the analysis disregards variations in time. Cross-sectional data analysis often entails contrasting the variations among pre-selected respondents.

For instance, if we wanted to determine the prevalence of obesity in a population, we could randomly select a sample of 1,000 people (also referred to as a cross section of that population), measure their height and weight, and then determine what proportion of that sample falls under the definition of obesity. With the use of this cross-sectional sample, we are able to get a current picture of that group. Be aware that based on a single cross-sectional sample, we cannot determine whether the prevalence of obesity is rising or falling; we can only describe the current proportion.

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Two or more angles are said to be supplementary if and only if they add up to \(180^{o}\).

Thus the required statements and appropriate reasons are stated below:

Two lines are said to be perpendicular when the measure of the angle between them is a right angle. Thus all right angle is congruent.

Angles are said to be congruent if and only if they have equal measure.

Thus in the given question, it can be deduced that:

                     STATEMENT                             REASONS

1. AC ⊥ BD, <1 ≅ <4                                  Given

2. <BCA = \(90^{o}\), <DCA = \(90^{o}\)                       Definition of perpendicular lines

3. <BCA ≅ <DCA                                      Right angles are congruent

4. <BCA = <1 + <2                                     Angle addition property

5. <DCA = <3 + <4                                    Angle addition property

6. <1 + <2 = <3 + <4                                   Distributive property

7. <1 + <2 = <4 + <3                                    Substitution property

8. <2 ≅ <3                                                 Reflexive property

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Answer:

2k⋅(3k−7)⋅(k+4)

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

 ((6 • (k3)) +  (2•5k2)) -  56k

STEP

2

:

Equation at the end of step

2

:

 ((2•3k3) +  (2•5k2)) -  56k

STEP

3

:

STEP

4

:

Pulling out like terms

4.1     Pull out like factors :

  6k3 + 10k2 - 56k  =   2k • (3k2 + 5k - 28)

Trying to factor by splitting the middle term

4.2     Factoring  3k2 + 5k - 28

The first term is,  3k2  its coefficient is  3 .

The middle term is,  +5k  its coefficient is  5 .

The last term, "the constant", is  -28

Step-1 : Multiply the coefficient of the first term by the constant   3 • -28 = -84

Step-2 : Find two factors of  -84  whose sum equals the coefficient of the middle term, which is   5 .

     -84    +    1    =    -83

     -42    +    2    =    -40

     -28    +    3    =    -25

     -21    +    4    =    -17

     -14    +    6    =    -8

     -12    +    7    =    -5

     -7    +    12    =    5    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -7  and  12

                    3k2 - 7k + 12k - 28

Step-4 : Add up the first 2 terms, pulling out like factors :

                   k • (3k-7)

             Add up the last 2 terms, pulling out common factors :

                   4 • (3k-7)

Step-5 : Add up the four terms of step 4 :

                   (k+4)  •  (3k-7)

            Which is the desired factorization

Final result :

 2k • (3k - 7) • (k + 4)

The unconditional mean E(Y) of the autoregressive model AR(1) is 10.5.

To compute the unconditional mean E(Y) of the autoregressive model AR(1) given by 1.05 + 0.9Y + ε, we can use the property of linearity in expectation and solve for the mean value.

The model can be rewritten as:

Y = (1.05 + ε) / (1 - 0.9)

Since ε follows a normal distribution with mean 0 and variance 0.01, we know that E(ε) = 0.

Using the linearity of expectation, we can compute the unconditional mean E(Y) as follows:

E(Y) = E((1.05 + ε) / (1 - 0.9))

= (1.05 + E(ε)) / (1 - 0.9)

= 1.05 / (1 - 0.9)

= 1.05 / 0.1

= 10.5

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Answer:

g[f(x)] = 6x² + 8x - 25

Step-by-step explanation:

g[f(x)] = g(3x² + 4x - 7)

= 2(3x² + 4x - 7) - 11

= 6x² + 8x - 14 - 11

= 6x² + 8x - 25

Answer:

51

Step-by-step explanation:

1000×0.051=51 so your answer is 51

x represents the cost of each bottle of juice. Given that he bought a pack containing 6 bottles of juice, the cost of the 6 pack juice bottles would be $6x

Given that the total cost of a bag of popcorn which costs $2.11 and a 6-pack of juice bottles is $11.41, it means that

2.11 + 6x = 11.41

6x = 11.41 - 2.11

6x = 9.3

x = 9.3/6

x = 1.55

The cost of each bottle of juice is $1.55

According to the information, the line plot would be as shown in the attached image. The most frequent points are 1/2 and 1 1/4

To draw a line plot we must take into account the information in the table. It shows the relationship between the location of the plants with their size.

According to the above, we can infer that the botanist found that the highest frequencies in the height of the plants were 1/2 and 1 1/4 because each of these heights had 2 plants. The rest of the measures had 1.

Note: This question is incomplete. Here is the complete information:

Attached image

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Answer:

\(x=14\)

Step-by-step explanation:

If two values are inversely proportional, their product must be maintained. That way, if one value goes up, the other goes down by the same extent.

Therefore, if \((x-4)\) and \((y+3)\) vary inversely, their product will be the same for all values of \(x-4\) and \(y+3\).

Let \(x=8\) and \(y=2\) as given in the problem. Substitute values:

\((8-4)(2+3)=(4)(5)=20\)

Hence, the maintained product is \(20\).

Thus, we have the following equation:

\((x-4)(y+3)=20\)

Substitute \(y=-1\) to find the value of \(x\) when \(y=-1\):

\((x-4)(-1+3)=20,\\(x-4)(2)=20,\\x-4=10,\\x=10+4=\boxed{14}\)

Answer: true

Step-by-step explanation: In algebra, a binomial is a polynomial that is the sum of two terms, each of which is a monomial. ... It is the simplest kind of polynomial after the monomials.

Answer:

true

Step-by-step explanation:

binomial —A polynomial with exactly two terms is called a binomial.

Answer:

2x^2 + 17x + 2

Step-by-step explanation:

(3x+4)*(2x-4) - (3x+3) * (x+6)

6x^2 - 12x + 8x - 16 - 3x^2 * 18x + 3x + 18

6x^2 - 4x - 16 - 3x^2 + 21x + 18

Combine like terms:

(6x^2 - 3x^2)  + (-4x + 21x) + (-16 + 18)

= 3x^2 + 17x + 2

Answer:

Quadrant 4

A''(0, 3)

Step-by-step explanation:

Answer:

2 cm

Step-by-step explanation:

the sum of the two shorter sides must be longer than the third side

Answer:

2x - 3 = 11

Step-by-step explanation:

"difference" means subtraction, so it is subtraction.

"twice a number" simply means 2x, since you do not know what the specified number is, it is x. and the 2 and just making it twice the number.

"Is 11" just means equals 11.

so, 2x - 3 = 11.

hope this helps!

The probability of drawing a 7 followed by a 10 is (4/52) x (4/51) = 0.006 or 0.6%.

To calculate the probability of drawing a 7 first and then a 10 from a standard 52-card deck, you need to consider the number of 7s and 10s in the deck and the total number of cards.

There are 4 sevens and 4 tens in the deck. The probability of drawing a 7 first is 4/52 (since there are 4 sevens and 52 cards in total). After drawing a 7, there are now 51 cards left in the deck. The probability of drawing a 10 next is 4/51 (since there are still 4 tens but now only 51 cards).

To find the overall probability, multiply the probabilities of each event: (4/52) * (4/51) = 16/2652 ≈ 0.006 or 0.6%.

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Answer:

a. Plan B; $4

b. 160 mins; Plan B

Step-by-step explanation:

a. Cost of Plan A for 80 minutes:

Find 80 on the x axis, and trave it up to to intercept the blue line (for Plan A). Check the y axis to see the value of y at this point. Thus:

f(80) = 8

This means Plan A will cost $8 for Rafael to 80 mins of long distance call per month.

Also, find the cost per month for 80 mins for Plan B. Use the same procedure as used in finding cost for plan A.

Plan B will cost $12.

Therefore, Plan B cost more.

Plan B cost $4 more than Plan A ($12 - $8 = $4)

b. Number of minutes that the two will cost the same is the number of minutes at the point where the two lines intercept = 160 minutes.

At 160 minutes, they both cost $16

The plan that will cost less if the time spent exceeds 160 minutes is Plan B.

Answer:

ok no prob ...........lolllllll

Answer: The cost of 15 meals at $7.25 per meal is:

15 x $7.25 = $108.75

To find the cost including the 5% sales tax, we need to add 5% of the cost to the cost:

5% of $108.75 = 0.05 x $108.75 = $5.44

So the total cost, including the sales tax, is:

$108.75 + $5.44 = $114.19

Therefore, the coach's total cost for 15 meals, including sales tax, will be $114.19.

The probability that it will not be orange is 0.9

What is probability?

Probability is the branch of mathematics concerning numerical descriptions of how probably an event is to do, or how likely it's that a proposition is true.

given:

There are:

5 pink marbles

9 green marbles,

13 blue marbles, and

3 orange marbles.

There is a total of 30 marbles in the jar.

Step 1. Take 1 marble from the jar.

Step 2. Probability that it is orange, = P(orange) = ( 3/30 ) = ( 1/10 ) = 0.10 = 10%

Step 3. Probability that the chosen marble is not orange, = ( 1 - Probability that the chosen marble IS orange) = ( 1 - 0.1 ) = 0.9 = 90%.

hence , the probability that it will not be orange is 0.9

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Answer: Choice C: none of the above

Step-by-step explanation:

The distance between two numbers would be |(number 1) - (number 2)|

--------------------------------------------------------------

Given

Number 1=-3.9

Number 2=-4.7

 |(number 1) - (number 2)|

=|(-3.9) - (-4.7)|

=|-3.9+4.7|

The choice is not available.

Therefore, it is none of the above.

Hope this helps!! :)

Please let me know if you have any questions

Answer:

Each wheel has diameter 45cm. James cycles his bicycle in a straight line in the playground. The front wheel makes 15 complete revolutions.

Step-by-step explanation:

tell me if im wrong.........