t a particular restaurant, each mini hotdog has 70 calories and each chicken wing has 60 calories. A combination meal with mini hotdogs and chicken wings is shown to have 1220 total calories and 10 more mini hotdogs than chicken wings. Determine the number of mini hotdogs in the combination meal and the number of chicken wings in the combination meal.​

The length opposite the angle is the vertical distance from the x-axis on the graph. Because sin (π/3) = opposite/hypotenuse = opposite/1;

Unit circle is a circle centered at the origin, (0,0) with radius(r) i.,e r= 1.

Here, The angle π/3 forms an arc of length S and the x-axis and y-axis divide the coordinate plane and the unit circle as it is centered at (0.0).

Also, the terminal side intersect the circle at (x, y). Thus;

sin (π/3) = opposite/hypotenuse = opposite/1

Thus, we get;

sin (π/3) = opposite

Also, the length opposite the angle is the vertical distance from the x-axis on the graph.

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Answer: A on edge

Step-by-step explanation:

So the two ordered pairs that have a ratio of -4/3 are (-4, 3) and (4, -3).

where x and y are the first and second numbers in the ordered pair, respectively.

Checking each of the four given ordered pairs, we can see which ones satisfy this equation:

(-3, 4): -3/4 ≠ -4/3

(-4, 3): -4/3 = -4/3

(4, -3): 4/-3 = -4/3

(3, -4): 3/-4 ≠ -4/3

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The method to convert mililitres to deciliter is by multiplying the quantity in mililitres with 0.01.

Firstly know the full form of units being used in the question. Here ml represents mililitres and dl represents deciliter. Now, we know that mililitres and deciliter are connected to each by the formula -

1 deciliter = 100 mililitres

So, 1 millilitre in deciliter will be = 1/100 deciliter

It can be written in decimal form as -

Quantity in deciliter = 0.01 deciliter

Let us say we have 1000 mililitres of milk which needs to be converted into deciliter.

So, Quantity in deciliter = 1000 × 0.01

Performing multiplication on Right Hand Side of the equation

Quantity of 1000 mililitres in deciliter = 10 deciliter.

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Answer:44.5

Step-by-step explanation:

To solve this problem, we can use the tangent function, which relates the angle of elevation to the length of the opposite side (the shadow) and the adjacent side (the height of the building).Let x be the length of the shadow.

Then, we have:tan(59°) = 52/xTo solve for x, we can cross-multiply and simplify:x = 52 / tan(59°)

x ≈ 44.5 feet (rounded to the nearest tenth)Therefore, the length of the shadow cast by the building is approximately 44.5 feet.

They use 280 gallons a day.

24.5 times 2.8 is 68.6

24.5% of 100 is 24.5

100 times 2.8 is 280

The range of the parabola will be y ≥ 6.

Given is that a graph of a parabola opens up and the minimum point is located at (-3, 6).

Therefore, the range of the parabola will be y ≥ 6.

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the answer would be

1, 2, 29, 58

Answer:

35.112

Step-by-step explanation:

15.4% = 0.154. 228*0.154=35.112.

The rate of change of the circle diameter with respect to the radius is a constant value of 2.

The diameter of a circle is twice the radius, so we can write:

Diameter = 2 * Radius

To find the rate of change of the diameter with respect to the radius, we can take the derivative of both sides of this equation with respect to the radius:

diameter/d(radius) = d(2 * radius)/d(radius)

The derivative of 2*radius with respect to radius is simply 2, so we can simplify the equation:

diameter/d(radius) = 2

Therefore, the rate of change of the circle diameter with respect to the radius is a constant value of 2. This means that if we increase the radius by a small amount, the diameter will increase by twice that amount. Conversely, if we decrease the radius by a small amount, the diameter will decrease by twice that amount.

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Answer:

100

Step-by-step explanation:

The probability that the largest pile has 4 cards, the next largest has 3, the next largest has 2, and the smallest has 1 is approximately 0.012 or 1.2%.

To solve this problem, we need to count the number of ways to choose 10 cards from a deck of 52 cards and then divide by the total number of ways to put these cards into 4 piles.

Step 1: Count the total number of ways to choose 10 cards from a deck of 52 cards using the combination formula:

C(52, 10) = 52! / (10! × 42!) = 158,200,242,880 / (3,628,800 × 99,884,160) = 1,787,671

Step 2: Count the total number of ways to put 10 cards into 4 piles. We can think of each card as having 4 choices, one for each pile. Therefore, the total number of ways to put the cards into piles is:

[tex]4^{10}[/tex] = 1,048,576

Step 3: Count the number of ways to put 10 cards into 4 piles such that the largest pile has 4 cards, the next largest has 3, the next largest has 2, and the smallest has 1.

First, we need to choose 4 cards from the 10 cards to go into the largest pile. This can be done in C(10,4) ways:

C(10,4) = 10! / (4! × 6!) = 210

Then, we need to choose 3 cards from the remaining 6 cards to go into the next largest pile. This can be done in C(6,3) ways:

C(6,3) = 6! / (3! × 3!) = 20

Next, we need to choose 2 cards from the remaining 3 cards to go into the next largest pile. This can be done in C(3,2) ways:

C(3,2) = 3! / (2! × 1!) = 3

Finally, the remaining card goes into the smallest pile. Therefore, there is only one way to put the card into the smallest pile.

Therefore, the total number of ways to put 10 cards into 4 piles such that the largest pile has 4 cards, the next largest has 3, the next largest has 2, and the smallest has 1 is:

C(10,4) × C(6,3) × C(3,2) × 1 = 210 × 20 × 3 × 1 = 12,600

Step 4: Calculate the likelihood by dividing the number of ways in Step 3 by the number of ways in Step 2:

P = 12,600 / 1,048,576 = 0.012 or 1.2%.

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Answer:

Below

Step-by-step explanation:

The solution set is just the point where the two graphed lines cross....this point is common to BOTH lines and thus is the solution (2,2)

Let's represent the area of the lawn with "x" (in square meters).

Maria charged $135 plus $9.55 per square meter, so her total earnings can be expressed as:

Total earnings = $135 + $9.55 x

We know that Maria was paid $1854, so we can set up an equation and solve for x:

$1854 = $135 + $9.55 x

Subtracting $135 from both sides:

$1719 = $9.55 x

Dividing both sides by $9.55:

x = 180

Therefore, the area of the lawn is 180 square meters.

Hugh made 110 kilograms of 9.1% salt solution.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, Hugh poured 100 kilograms of water into 10 kg of salt.

So, the total mass is the sum of the mass of water and the mass of salt.

Thus, 100+10=110 kg.

The ratio between the mass of the salt (10 kg) and the combined mass of the mixture is the concentration.

Now, C=10/110 ×100

= 100/11

= 9.1%

Therefore, Hugh made 110 kilograms of 9.1% salt solution.

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The given table is studied and the probability for each case of the question is found as given below.

What is meant by probability?

The probability of an occurrence is a figure that represents how likely it is that the event will take place. It is expressed as a number between 0 and 1, or between 0% and 100%. The higher the likelihood, the more likely it is that the event will take place.

1) Earning 10000 - 13000 per month and owning exactly 2 vehicles.

Number of families surveyed = 2400

Number of families earning  10000 - 13000 per month and owning exactly 2 vehicles = 29

Therefore required probability = 29/2400 = 0.0121

2)  Earning 16000 or more per month and owning exactly 1 vehicle.

Number of families surveyed = 2400

Number of families earning 16000 or more per month and owning exactly 1 vehicle  = 579

Therefore required probability = 579/2400 = 0.241

3) Earning less than 7000 per month and does not own any vehicle.

 Number of families surveyed = 2400

Number of families earning less than 7000 per month and does not own any vehicle = 10

Therefore required probability = 10/2400 = 1/240

4) Earning 13000 - 16000 per month and owning more than 2 vehicles.

   Number of families surveyed = 2400

Number of families earning 13000 - 16000 per month and owning more than 2 vehicles = 25

Therefore required probability = 25/2400

5)  Number of families surveyed = 2400

Number of families owning not more than 1 vehicle = Number of families owning 0 vehicles + Number of families owning 1 vehicle

= (10+0+1+2+1)+(160+305+535+469+579)

= 2062

Therefore required probability = 2062/2400  = 0.86

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Answer:

hey! you can use it!!

Step-by-step explanation:

thanks

The equivalent exponential expressions are 625 · 5ˣ and [tex]a^{4 + x}[/tex].

Exponents are a short way of representing repeated multiplication. The exponent, or power, indicates the number of times the base is multiplied by itself.

An exponent is a small number written to the right and above the base number, indicating how many times the base number should be multiplied by itself.

By the rule of exponents,

Here we have

Exponents 5⁴· 5ˣ  

We can rewrite the above expression as follows

Since 5⁴ = 625

=> 5⁴· 5ˣ  = 625 · 5ˣ

By using the Rules of exponents,

=> 5⁴ + 5ˣ =  [tex]a^{4 + x}[/tex]

Therefore,

The equivalent exponential expressions are 625 · 5ˣ and [tex]a^{4 + x}[/tex].

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Answer: 50.27

Step-by-step explanation:

AB=πr2=π·42≈50.26548

(a) There are 220 different boxed sets possible.

(b) here are 2184 different schedules possible for Rashid's vacation.

(a)

To calculate the number of different boxed sets possible, use the combination formula. In this case, choose 9 albums out of 12, and the order of the albums in the boxed set doesn't matter.

The number of combinations of n items taken r at a time is given by the formula:

C(n, r) = n! / (r! × (n - r)!)

In this case, to find C(12, 9):

C(12, 9) = 12! / (9! × (12 - 9)!)

C(12, 9) = 12! / (9! × 3!)

C(12, 9) = (12 × 11 × 10) / (3 × 2 × 1)

C(12, 9) = 220

(b)

To calculate the number of different schedules Rashid can make for his vacation, count the number of ways chosen 3 cities out of 14 for each day of the week.

For Monday, choose one city out of 14.

For Tuesday, choose one city out of the remaining 13 .

For Wednesday, choose one city out of the remaining 12 .

Total number of schedules = 14 × 13 × 12 = 2184

So, there are 220 different boxed sets possible and there are 2184 different schedules possible for Rashid's vacation.

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The amount of photos that are giraffes is 3

1.) Caleb has 18 photos from going to the zoo.

2.) One sixth of them are giraffe pictures.

So basically, what you want to do is divide 18 by 6 = 3

The answer is : There are 3 giraffe photos out of the total 18 photos.

The length of the box is x = 13 inches. To find this, we need to solve the equation V = l*w*h = 180, where l is the length, w is the width, and h is the height.

We know that w = l - 5 and h = l + 2, so we can substitute these into the equation to get 180 = l(l - 5)(l + 2). After rearranging, we get

This can be solved using the cubic formula, which gives us l = 13. We can thus conclude that the length of the box is 13 inches.

To calculate this, we first need to set up the equation. We know that the volume of the box is 180 in³ and the width is 5 inches less than the length, and the height is 2 inches more than the length. We can then substitute this into the equation V = lwh to get 180 = l(l - 5)(l + 2).

After rearranging, we get

This can be solved using the cubic formula, which gives us l = 13. We can thus conclude that the length of the box is 13 inches.

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To calculate the standard deviation of the sampling distribution of p-hat, the answer will be 59 students.

By calculating,

600/10=60 and 59 students which is less than 10% of the population.

A sampling distribution, also known as a finite-sample distribution, in statistics is the probability distribution of a given random-sample-based statistic. The sampling distribution is the probability distribution of the values that the statistic takes on if an arbitrarily large number of samples, each involving multiple observations (data points), were used separately to compute one value of a statistic (such as, for example, the sample mean or sample variance) for each sample. Although only one sample is frequently observed, the theoretical sampling distribution can be determined.

Because they offer a significant simplification before drawing conclusions using statistics, sampling distributions are crucial in the field. They enable analytical decisions to be made based on the probability distribution of a statistic rather than the combined probability distribution of all the individual sample values

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The value of length 8inch into cm is 20.32 cm.

8inch can be converted into centimeters (cm) using the conversion factor of 1 inch equals 2.54 centimeters.  it's essential to use the appropriate conversion factor and ensure that the units cancel out correctly to arrive at the desired result.

Since 8 is a unit of inches, we can simply multiply 8 by the conversion factor of 2.54 cm/inch to get the equivalent measurement in centimeters.

So, the conversion can be done as follows:

8 inches x 2.54 cm/inch = 20.32 cm

Therefore, 8 inches is equal to 20.32 centimeters.

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_____The given question is incomplete, the complete question is given below:

How to convert 8 inches into cm.

The dimensions of the rectangle by factoring the area are

Length =  ( 2x + 7 )

breadth = ( 2x - 7 )

The number of unit squares that can fit inside a rectangle called its area. The area of a flat surface of a specific form is the space that it occupies.

Area of Rectangle = (Length × Breadth)

The area of a rectangle given is (4x²-49) square units.

We know the formula ,

Area of rectangle = Length × breadth

(4x²-49) = Length × breadth

Length × breadth = (2x)² - (7)²

Length × breadth = ( 2x + 7 ) ( 2x - 7 )

Therefore, the dimensions of the rectangle by factoring the area are

Length =  ( 2x + 7 )

breadth = ( 2x - 7 )

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On converting the length 161cm to feet , we get that 161 cm is equivalent to 5.29  feet .

There are different units that are used to measure the length or distance ;

such as feet , centimeter , meter , kilometer .

We have to convert the length : 161 centimeter to feet ;

we know that ; 1 centimeter is approximately equal to 0.0328 feet ;

So , we multiply 161 centimeter with 0.0328 ,

On multiplication ,

we get ;

⇒ 161 centimeter = 161 × 0.0328 ;

⇒ 161 centimeter = 5.2822 feet .

Therefore , 161 cm is approximately equal to 5.29 feet .

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The translation vector is

a = 6

b = -2

The transformation rule for 90 degrees clockwise rotation is

(x, y) → (y, -x)

Using reference side (-3, -3). 90 degrees clockwise rotation will result to

(-3, -3) → (-3, 3)

The location  (-3, 3) is compared with (3, 1) we have that

-3 + x = 3, x = 3 + 3 = 6

3 + y = 1, y = 1 - 3 = -2

hence the vector is (6, -2), a = 6 and b = -2

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P(Assume that we have two events, A&B) is mutually exclusive, P(A | B) is not equal to P(A), and the events A and B  independent

Probabilities are used to measure the likelihood of an event occurring.

When we have two events, A and B, that are mutually exclusive, it means that the occurrence of one event precludes the other from occurring. In this case, P(A) and P(B) measure the individual probabilities of events A and B occurring.

P(A) = 0.30 and P(B) = 0.40. Therefore, P(A | B) is the probability of event A occurring given that event B has already occurred, which is equal to 0 since event A cannot occur if event B has already happened.

P(A | B) is not equal to P(A), since P(A) measures the probability of event A occurring without considering any other events.

Since events A and B are mutually exclusive and the occurrence of one event precludes the other from occurring, they are considered independent events.

Therefore, the probability of one event occurring does not affect the probability of the other event occurring, which means they are independent events

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The child is most likely operating at visualization level of van hiele's. The solution has been obtained by using the Van Hiele model.

What is Van Hiele model?

The van Hiele theory explains how children pick up geometry. It makes the claim that there are five different degrees of geometric thinking: visualisation, analysis, abstraction, formal deduction, and rigour. Every level has a unique lingo and set of symbols. The levels are progressed through "step by step" by the students.

We are given that a child tells that square has 4 sides and 4 angles by seeing the quadrilateral.

From this, we get that the child is operating at the visualization level of van hiele's because by looking at a figure he tells the number of sides and angles.

Hence, the child is most likely operating at visualization level of van hiele's.

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The values of a , b and c in the given quadratic sequence are

a = 2, b = 5, c = -4

The ordered collections of numbers known as quadratic sequences are based on the rule n2 = 1, 4, 9, 16, 25. (the square numbers). Every quadratic sequence has a n2 term.

Now in the given question ,

For nth term we have,

an² + bn + c

n = 1:

a + b + c = 3    Eq. 1

n = 2:

4a + 2b + c = 14    Eq. 2

n = 3:

9a + 3b + c = 29    Eq. 3

Eq. 2 minus Eq. 1

3a + b = 11    Eq. 4

Eq. 3 minus Eq. 2

5a + b = 15    Eq. 5

Eq. 5 minus Eq. 4

2a = 4

a = 2

Plug in a = 2 into Eq. 4

3(2) + b = 11

b = 5

Plug in a = 2 and b = 5 into Eq. 1.

2+5 + c = 3

c = -4

The required values are ,  a = 2, b = 5, c = -4.

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