How many possible lunches can be made if there are 3 choices for entree and 4 choices for drink?

The scale read will be 123.28kg weight,f the elevator accelerates upward at a rate.

Given information:

W = 800 N

a = 5 m/s^2

The mass of the man is calculated as -

m = W / g

m = 800 / 9.8

m = 81.63 kg

When the man is standing in an elevator accelerating upwards, effective acceleration acting on him is -

a' = a + g

a' = 5 + 9.8

a' = 14.8 m/s^2

So the scale reading of the weight of the man is -

W' = m × a'

W' = 81.63 × 14.8

W' = 1208 N

W' = 123.28 kg wt

Hence, his weight on the scale is 1208 N.

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Answer:

Step-by-step explanation:

Solution:

Step 1:

Calculate MP

To calculate MP, we will use the formula below

By substituting the values, we will have

Step 1:

Calculate PN

We will use the formula below

By substituting the values, we will have

Hence,

The final answer is

OPTION C is the right answer

Answer:

Area of annulus is 40.85cm² to 2d.p

Step-by-step explanation:

Area of shaded part=Area of bigger circle -Area of smaler circle

Area of annulus= πR²- πr²= π(R²-r²)

A=3.142(7²-6²)

A=3.142(49-36)

A=3.142×13

A=40.846cm²

A=40.85cm² to 2d.p

Answer:

\(Area = 27cm^2\)

\(P=23cm\)

Step-by-step explanation:

Required

The area and the perimeter

Solving (a): The area

The shape is a composite figure withe following characteristics:

Rectangle 1: 3cm by 5cm

Rectangle 2: 2cm by 6cm

So, the area is the sum of the areas of both rectangles

\(Area = 3cm * 5cm + 2cm*6cm\)

\(Area = 15cm^2 + 12cm^2\)

\(Area = 27cm^2\)

Solving (b): The perimeter

This is calculated as:

\(P=3cm + 5cm + 2cm+6cm + 2cm + 5cm\) --- sum of all lengths

\(P=23cm\)

The surface area of the cylinder is 948m²

The area occupied by a three-dimensional object by its outer surface is called the surface area. The surface of a cylinder is expressed as ;

SA = 2πr(r+h)

Where r is the radius of the base and h is the height of the cylinder.

r =8m

h = 4m

SA = 2 × 3.14 × 8 (8+4)

SA = 78.96 × 12

SA = 947.52 m²

to the nearest whole number

SA = 948 m²

therefore the surface area of the cylinder is 948 m²

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Answer:

1.05263

Step-by-step explanation:

hope it helps !

Answer:

Given the information you provided, we can model cellular phone usage over time with an exponential growth model. An exponential growth model follows the equation:

`y = a * b^(x - h) + k`

where:

- `y` is the quantity you're interested in (cell phone usage),

- `a` is the initial quantity (34 million in 1995),

- `b` is the growth factor (1.22, representing 22% growth per year),

- `x` is the time (the year),

- `h` is the time at which the initial quantity `a` is given (1995), and

- `k` is the vertical shift of the graph (0 in this case, as we're assuming growth starts from the initial quantity).

So, our specific model becomes:

`y = 34 * 1.22^(x - 1995)`

To find the cellular usage in 2003, we plug 2003 in for x:

`y = 34 * 1.22^(2003 - 1995)`

Calculating this out will give us the cellular usage in 2003.

Let's calculate this:

`y = 34 * 1.22^(2003 - 1995)`

So,

`y = 34 * 1.22^8`

Calculating the above expression gives us:

`y ≈ 97.97` million.

So, the cellular phone usage in 2003, according to this model, is approximately 98 million.

Answer:

-7b-8

Step-by-step explanation:

Hi there!

We are given the expression 2b-3-9b-5 and we want to simplify it by combining like terms

Like terms are terms that have the same variables (ex. 2x and x are like terms, -3 and 6 are like terms. However, x and x² are not like terms, neither are -3x and 8)

We can bold or underline the like terms to make it easier. Remember to include the sign, as those are important:

2b -3 -9b -5

Now add 2b and -9b together:

2b+ -9b= -7b

Now add -3 and -5 together

-3 + -5 = -8

Add -7b and -8 together

-7b + -8 = -7b-8

As -7b and -8 aren't like terms, we have to leave the expression as -7b-8.

Hope this helps!

Answer:

X has an hypergeometric distribution, with parameters:

Size of the population is N = 18.

Size of the sample is n = 6.

Number of successes n is k = 8.

Step-by-step explanation:

The people are chosen without replacement, which means that the hypergeometric distribution is used.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}\)

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

Eighteen individuals are scheduled to take a driving test at a particular DMV office on a certain day, eight of whom will be taking the test for the first time.

This means that \(N = 18, k = 8\)

We consider a success being a person taking the test for the first time, because X is the number among the six who are taking the test for the first time.

Suppose that six of these individuals are randomly assigned to a particular examiner.

This means that \(n = 6\)

a. What kind of a distribution does X have (name and values of all parameters)

X has an hypergeometric distribution, with parameters:

Size of the population is N = 18.

Size of the sample is n = 6.

Number of successes n is k = 8.

Answer:

O DC = 65 and DE = 33.5

Step-by-step explanation:

DC is already given by AB

so DC is 65

DE would be BD split

DE is 33.5

Answer: O DC = 65 and DE = 33.5

Answer: Understood

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. j

2. k

3. L

4. Lj

5. kL

6. jk

$(20 - P) change the Michelle receive from the cashier.

and, Expression is $(20 - P).

Given:

In the question;

Michelle used $20 dollar sign, 20 bill to pay for a notebook that only costs p dollars.

To find the how much change did Michelle receive from the cashier?

and, write your answer as an expression:

Now, According to the question:

The cost of book is $P

Michelle bill to pay for a notebook $20

Here,

$(20 - P) change the Michelle receive from the cashier.

and, Expression is $(20 - P).

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Answer:

30 full pages but you would have 13 stamps left

Step-by-step explanation:

Answer: 30 pages

Step-by-step explanation:

The transformations that map the strip pattern onto itself is a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°. Option A is the correct option.

Here, we have,

the conditions for mapping the strip transformation pattern onto itself:

The strip pattern can be mapped onto itself in two different ways.

The first way is to translate the strip pattern horizontally and then rotate it by 180° degrees.

The second way is to reflect the strip pattern across a vertical line.

Hence, the transformations that map the strip pattern onto itself can be achieved through a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°.

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complete question:

Which transformations map the strip pattern onto itself?

a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°

a horizontal translation only

a horizontal translation, a reflection across a horizontal line, and a glide reflection only

a horizontal translation and a 180° rotation only

The number of gift basket with 15 favors in each is 24.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, Descartes has 6 large boxes with 48 party favors in each box

So, the number of favors =6×48

= 288

5 small boxes with 16 party favors in each box

So, the number of favors =5×16

= 80

Total number of favors =288+80

= 368

He puts 15 favors in each gift basket

Then, number of gift basket

= 368/15

= 24.5

Therefore, number of gift baskets he can make is 24.

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Answer: 4 feet.

Step-by-step explanation:

Proportion from lawn ornament to its shadow = 6ft : 18ft = 1 : 3

Proportion from baby elephant to its shadow = x : 12ft

These proportions have to be equal, because if it is the same time of day, the different object's shadows will have the same proportions.

In order to solve this problem, we need to cross multiply. (Attached image)  

So, 3x = 12.

By solving this equation, we find that x = 4

The height of the baby elephant is 4 feet.

I am not a professional, simply using prior knowledge!

Note- It would mean the world to me if you could mark me brainliest!

Answer:

521 mm²

Step-by-step explanation:

Hi there !

A = Asemicircle + Atrapeze

r = d/2 = 20mm/2 = 10mm

Asc = π·r²/2

= 3.14·(10mm)²/2

= 3.14×100mm²/2

= 157 mm²

At = (b + B)×h/2

= (20mm + 32mm)×14mm/2

= 52mm×7mm

= 364 mm²

= 157mm² + 364mm²

= 521 mm²

Good luck !

In the given similar triangles below, we have to find the measure of Dwrite. Triangle 1, ABC, is similar to Triangle 2, DEF. The two triangles are similar because their corresponding angles are congruent and their sides are proportional.

In order to find the measure of Dwrite, we can use the concept of proportionality. The sides of similar triangles are proportional to each other.

This means that if we know the ratio of the sides of one triangle, we can use that ratio to find the corresponding sides of the other triangle. We can use this property to find the value of Dwrite.

To start, let's write down the ratio of the sides of Triangle 1 and Triangle 2. We can choose any two corresponding sides to do this, but we'll choose AB and DE because they are easiest to measure: AB/DE = 6/8.5We know that the measure of AB is 6, so we can solve for the measure of DE: DE = AB x (DE/AB)DE = 6 x (8.5/6)DE = 8.5Now we know that the measure of DE is 8.5.

We can use this to find the measure of Dwrite. We know that DE and Dwrite are corresponding sides of Triangle 2 and Triangle 1, respectively.

So we can write a proportion using the ratio of DE to Dwrite: DE/Dwrite = 8.5/xWe know that DE is 8.5, so we can substitute that in:8.5/Dwrite = 8.5/Now we can solve for x by cross-multiplying:8.5x = 8.5Dwrite = 1Therefore, the measure of Dwrite is 1.

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Answer:

the orange one

Step-by-step explanation:

(10 + 10) : (5-3) =

20 : 2 =

10

Answer: So, 3 divided by 8 is 0.375 as a decimal.

Step-by-step explanation:

Two equivalent forms of 3/8 are:

37.5/100 (as a fraction with a denominator of 100, which represents a percentage)

To convert 3/8 to a percentage, we can multiply by 100:

3/8 x 100/100 = 300/800 = 37.5/100

So 3/8 is equivalent to 37.5/100 as a fraction.

0.375 (as a decimal)

To convert 3/8 to a decimal, we can divide 3 by 8 using long division or a calculator:

0.375

8 | 3.000

-2.4

lua

6.0

-4.8

----

10.0

-8.0

----

 2.0

Answer:

18%

Step-by-step explanation:

Answer:

$109.68

Step-by-step explanation:

92.95 ÷ 100 = .9295

.9295 x 18 = 16.73

92.95 + 16.73 = 109.68

Have a good day I hope this helped! Can get a brainiest if right?

Note that the following is a rectangle, the angles are computed as follows:

Given that the following is a rectangle, the answers will be based on the properties of a rectangle which are given as follows:


Where the above figure is a regular quadrilateral, the properties are given as follows:

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Answer:

B) -2⅛

Step-by-step explanation:

All other options are irrational

Answer:

35cm

Step-by-step explanation:

The volume of the figure is sum of the two individual cuboids which is

164 cm³.

A cuboid is a three-dimensional closed figure which has volume along with surface area.

The volume of a cuboid is the product of its length, width, and height.

The total surface area of a cuboid is 2(lw + wh + wl) and the lateral surface area is 2(l + w)×h.

The total volume of the given figure would be the sum of the two cuboids

which is,

= (5×5×8) + (8×8×1) cm³.

= 200 + 64 cm³.

= 264 cm³.

So, The volume of the figure is 264 cm³.

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Answer:

y = - \(\frac{2}{3}\) x - 2

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

given

2x + 3y = 3 ( subtract 2x from both sides )

3y = - 2x + 3 ( divide through by 3 )

y = - \(\frac{2}{3}\) x + 1 ← in slope- intercept form

with slope m = - \(\frac{2}{3}\)

• Parallel lines have equal slopes , then

y = - \(\frac{2}{3}\) x + b  ← is the partial equation

to find b substitute (3, - 4 ) into the partial equation

- 4 = - 2 + b ⇒ b = - 4 + 2 = - 2

y = - \(\frac{2}{3}\) x - 2 ← equation of parallel line

Answer:

The formula for finding the area of a circle using its radius is:

The formula for finding the area of a circle using its radius is:A = πr²

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²where A is the area of the circle and d is its diameter.

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²where A is the area of the circle and d is its diameter.Note that π (pi) is a mathematical constant that represents the ratio of the circumference of a circle to its diameter and is approximately equal to 3.14

Step-by-step explanation:

Hope it Helps

The formula for finding the area of a circle using its radius is π * r².

The formula for finding the area of a circle using its diameter is (π/4) * d².

The formula for finding the area of a circle using its radius is:

A = π * r²

where:

A represents the area of the circle,

π (pi) is a mathematical constant approximately equal to 3.14159, and

r represents the radius of the circle.

If you have the diameter of the circle instead of the radius, you can use the following formula:

A = (π/4) * d²

where:

A represents the area of the circle,

π (pi) is a mathematical constant approximately equal to 3.14159, and

d is the diameter of the circle.

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Answer:

17

Step-by-step explanation:

Using the distributive property, we can rearrange the expression into this:
-4^2+-4+5

Which when expanding, is:

16+-4+5, which gives 17.

Answer:

25 + 9^3

Step-by-step explanation: