Geometry help please
Question 13 to 15

Each kitten weighs 5 1/3 ounces. Converting this weight to improper fraction, it becomes

16/3 ounces

Since the total number of kittens is 6, the weight of all the kittens is

16/3 * 6 = 32 ounces

The total weight is 32 ounces

In a parallelogram,

i) Opposite angles are equal i.e

ii) Consecutive angles are supplementary i.e

To find f, collect like terms

Since, d = f,

Thus,

Hence, the missing angles are d = f = 70° and e = 110°

If the mean number of blue m&m's in a fun size bag is 3.4 with a standard deviation of .2. The probability of getting more than 4 blue m&m's in a bag is 0.00135.

Given data:

Mean =  3.4

Standard deviation = .2

Now let find or determine the z-score before finding the probability of getting more than 4 blue

Z = 4 blue - mean / standard deviation

Hence,

Z = 4 - 3.4 / .2

Z = 0.6 / .2

Z = 3

The probability was determine using the normal distribution table

P(x > 4) = P( Z=3)

= 0.00135

Therefore we can conclude that the probability is 0.00135.

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Answer:

See below

Step-by-step explanation:

Distance / rate = time

2  1/10 mi  /  9  9/10 mi/hr

21/10  /  99/10   = 21/99 hr =   12.73 minutes

     ZERO hr  if rounded to nearest integer hr  

   = 13 minutes as nearest integer minutes

      exact is   21/99 hr  = 7/33 hr

The angles shown in each triangle are congruent. Then, by SAS postulate, the triangles are congruent

Answer:

So, to make money each month, Bernadette would need to sell at least 121 bowls of soup.

Step-by-step explanation:

Cost function:

Has a fixed cost($360), and a variable cost($2.5 per bowl). So the cost of each making b bowls is given by:

C(b) = 360 + 2.5b

Profit function:

She earns $5.5 for each bowl of soup she sells. So the earnings of selling b bowls are given by:

P(b) = 5.5b

How many bowls of soup would Bernadette need to sell to make money each month?

Bernadette will make money if the profit is higher than the cost, that is:

P(b) > C(b)

Then

5.5b > 360 + 2.5b

5.5b - 2.5b > 360

3b > 360

b > 360/3

b > 120

So, to make money each month, Bernadette would need to sell at least 121 bowls of soup.

Using the regression equation we can estimate that 60.49% of people will finish the documentary.

Regression analysis is a group of statistical procedures used in statistical modelling to determine the associations between a regression model and one or more relationship between the independent variable.

The equation is given as  Y= - 0.434X+72.21

At X=27 , the value of Y can be estimated as :

Y = -0.434 × 27 +72.21

or, Y = 60.492  

or, Y ≈ 60.49

Therefore 60.49  % is the best prediction  of people will watch the documentary completely.

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mean: 25 minutes

standard deviation: 6.1 minutes

A 11 minutes commute time is 2.30 standard deviations away from the mean. In this case, we have, for a normal distribution:

For 6m and 2m the comun factor corresponds to 2m, because 2 can divide 6 and 2 and m appears on both expressions with the same exponent.

Given data:

The given cost of 2 1/2 pound of box is $1.65.

The given expression can be written as,

Thus, the cost of 4 ounces is $0.165.

We have the following functions:

1) We evaluate (g · f)(2):

2) We evaluate (g + f)(2):

3) We evaluate (g - f)(-1):

4) We evaluate (f / g)(-1):

Answers

Given the information on the problem, we have the following function:

where 'x' represents the numer of cartons of eggs.

Notice that this is a real function, but it can only take integer values. Therefore, the practical domain of the function f(x) is positive integers

Answer:

75

Step-by-step explanation:

They meet up when their distance traveled is the same (in other words, when the graphs intersect).

The graphs intersect x=75.

The percentage paid as tax annually is 11 1/4 %. We would convert this perentage to decimal. It becomes 11.25%

Recall, percentage is expressed in terms of 100. If Jim earns $44,700 annually, then the amount of tax that he pays annually is

11.25/100 x 44700

= 5028.75

The correct option is C

Given:

Find-: Prove the trigonometric identity.

Sol:

Use some trigonometric formula:

So,

Then,

Solve the identity then,

Here, use the formula:

Then,

Answer:

98 students play videogames

28 students dont play videogames

Step-by-step explanation:

we have to make n equation using 7:2=126 so we are going to intaduce x witch will give us 7x+2x=126

9x=126 then we divide it with 9 witch gives us x=14 then we multiply x by 7 and agen x by 2

option (D) aₙ = 300 (5 / 3)¹⁻ⁿ  is a formula for the nth term of the given sequence.

The sequence given is:

300, 180, 108

The initial term = a = 300

We will first calculate the common ratio between the terms:

Common ratio = r

r = 180 / 300

r = 18 / 30

r = 3 / 5

Also,

108 / 180 = 3 / 5

Now, the formula for the nth term is given by:

aₙ = a rⁿ⁻¹

Substitute the values:

aₙ = 300 (3 / 5)ⁿ⁻¹

which can also be written as:

aₙ = 300 (5 / 3)¹⁻ⁿ

Therefore, we get that, option (D) aₙ = 300 (5 / 3)¹⁻ⁿ  is a formula for the nth term of the given sequence.

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Area of sector = 8π cm²

For angle in degrees:

Area of sector = θ/360 × πr²

For angle in radians:

Area of sector = 1/2 r²θ

radius = 4 cm

angle of the sector = π radian

Area of sector = 1/2 × (4)² × π = 16/2 × π

Area of sector = 8π cm²

Morgan had $1,679 in her savings account. After one year, her balance increases by 2%. How much does Morgan have in her account now?

Remember that

100%+2%=102%=102/100=1.02

so

Multiply the original amount by the factor 1.02

1,679*(1.02)=$1,712.58

answer is

For the first place in the shlef you have 5 possibilities to choose, for the second place you have 4 possibilities, for the third you have three possibilities and so on. This means that we can find the number of ways to arrange the books with a factorial, that is:

Therefore, there are 120 ways to arrange your books in the shelf.

The system of equation is given by

x + y = 975

x + y = 1250

What is system of equation?

Systems of equations are sets of equations where the solution is the intersecting point (s) between the equations. Most of the systems of equations you see in algebra are sets of two linear equations in the standard form Ax + By = C.

Andrew buys :

green peppers = 975

hot chilli peppers = 1,250

Part A

He uses green peppers (975) to make,

x pints of Sauce I

y pints of Sauce II

So, equation will be,

=> x + y = 975 .........(i)

Simillarly he uses hot chilli peppers (1,250) to make,

x pints of Sauce I

y pints of Sauce II

So, 2nd equation will be,

=> x + y = 1,250 .........(ii)

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The values of the functions, when g is defined for all real numbers is as follows:

g(-2) = -3

g(1) = 3

g(4) = 0

Given, the function g is defined for all real numbers.

g(x) = { 1x²/4 - 4    if x≠1

               3            if x=1 }

g(-2):

here, x = -2

where x ≠ 1

therefore, g(-2) = 1x²/4 - 4

substitute x as -2

g(-2) = 1(-2)²/4 - 4

g(-2) = 4/4 - 4

g(-2) = 1 - 4

g(-2) = -3

g(1):

here, x = 1

where x = 1

therefore, g(1) = 3

g(4):

here, x = 4

where x ≠ 1

therefore, g(4) = 1x²/4 - 4

substitute x as 4

g(4) = 1(4)²/4 - 4

g(-2) = 16/4 - 4

g(-2) = 4 - 4

g(-2) = 0

Hence we get the values of g(-2), g(1) and g(4) as -3,3 and 0 respectively.

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Answer:

Explanation:

See the below image;

From the above image, we can see that line EM is the bisector of angle DEF and we know that an angle bisector always splits an angle into two equal angles.

Given m[tex]\begin{gathered} m\angle DEM=\frac{83.6}{2}=41.8^{\circ} \\ m\angle MEF=\frac{83.6}{2}=41.8^{\circ} \end{gathered}[/tex]

Answer: last one

Step-by-step explanation:

I'm not 100% sure but I would like to help you and I think it is. I say this because the 7 can't have a different outcome.

The estimate of the number of addition operations that the algorithm will execute is:

Θ(2n).

The complexity of the given algorithm is an estimate of the number of operations that the algorithm will execute.

For an algorithm bounded by a loop such as this one, due to the command while (i≤n), the length of the loop is bound of the complexity of the algorithm, hence we can begin the complexity equation as follows:

Θ(n).

Inside the loop, for each iteration of the loop, that is, each value of i, two addition operations are made, adding i to t and incrementing the count control variable i by 1.

Due to the two addition operations inside on each iteration of the loop, 2 is multiplied inside the complexity, hence the estimate of the number of addition operations that the algorithm will execute is:

Θ(2n).

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Given:

Find-:

Area of shape

Explanation-:

The area of a rectangle is:

The shape is:

For the first region:

The area of the first region is:

The area of the second region is:

The area of the second region is:

The total area of the lawn is:

The area of lawn is 4400 ft²

Let k be the constant of proportionality

Let p be the number of pages

Let t be the time taken

P ∝ t

p = kt

K = p/t

k = 6/2 = 3/1

The unit rate is 3 pages in one minute

To solve this question we use the following ratio

No of families with newspaper = 5

No of families in the neighbourhood = 6

If the number of families currently with newspaper = 75 then,

Step 1: Write out the formula for the volume V of a rectangular based pyramid with height h base length l and base width w:

Step 2: Write out the given values and substitue them into the formula to find the volume:

From the image, we can see that:

Therefore,

Hence the volume of the pyramid is 570m³

Answer:

190 m^3

Step-by-step explanation:

the volume of a pyramid is b * h * 1/3

the base is the bottom

5 * 12

that is 60

60 * the height * 1/3

60 * 9.5 * 1/3

we can first do 60 * 1/3

that is 20

20 * 9.5 = 190

that is the answer

youre correct!

The result of the equation 2(x-4)-9 = 3(2x+1)+4 is x= -6

The equation is

2(x-4)-9 = 3(2x+1)+4

The distributive property states that multiplying the sum of two or more variables by a number will produce the same result as multiplying each variables individually by the number and then adding the products together.

2(x-4)-9 = 3(2x+1)+4

Apply distributive property in the equation

2x-8-9 = 6x+3+4

Add the like terms in the equation

2x-17 = 6x+7

Rearrange the terms and combine the like terms in one terms

2x-6x = 7+17

Combine the like terms

-4x = 24

x = 24/-4

x = -6

Hence, the result of the equation 2(x-4)-9 = 3(2x+1)+4 is x= -6

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