10) Ms. Johnson is throwing the entire class a pizza party.When she places the order from Tony's pizza across the street, she learns that each medium pizza has 6 slices, and each large pizza has 8 slices. If Ms. Johnson orders 9 total pizzas with a total of 66 slices, how many of each size pizza did she buy? Let x represent the number of medium pieces and let y represent the number of large pizzas.

The value of the derivative of D at t = 8 is equal to -0.5 is At 8 a.m. the water level decreased at a rate of 0.5 meters per hour.

A function that has a derivative at each point in its domain is referred to as a differentiable function of one real variable in mathematics.

In other words, a graph of a differentiable function has a non-vertical tangent line at each interior point in its domain. A differentiable function has no break, angle, or cusp and is smooth (it is locally well approximated as a linear function at each interior point).

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The sum of the other two numbers, x and y, is 120.

To solve this problem, we need to use the fact that the average of three numbers is the sum of the numbers divided by 3. Since the average of the three numbers is 50, and one of the numbers is 30, we can set up the equation:

(30 + x + y)/3 = 50

To solve for x and y, we need to multiply both sides of the equation by 3 to get:

30 + x + y = 150

We can then subtract 30 from both sides of the equation to get:

x + y = 120

So, the sum of the other two numbers, x and y, is 120.

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If the lowest number is 30, the sum of the other two numbers is 150

Let x1, x2 and x3 be three unique numbers with x1 is the lowest number and x3 is the largest number.

Let x{bar} be the average of numbers  x1, x2 and x3

Given that the average of three unique numbers is 50.  

So, x{bar} = 50

And the lowest number is 30

i.e., x1 = 30

Using the formula of average,

x{bar} = (x1 + x2 + x3) / 3

50 = (30 + x2 + x3)/3

50 × 3 = x2 + x3

x2 + x3 = 150

Therefore, the sum of the other two numbers is 150

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Answer:

Step-by-step explanation: go to the x axis that goes left to right and go to the #4 and then go down 3

Answer: B is correct

Step-by-step explanation:

Answer:

Step-by-step explanation:

96=(32+x)x2=?

Alex's expression about the sequence is incorrect and Sara's thought is correct

From the question, we have the following parameters that can be used in our computation:

Event: Three-jump, two-step cycle

Represent the number of jumps with x

So, we have the following representation

Event: Three- x, two-step cycle

When represented as an equation, we have

Event = 3x + 2

The number of times is 5

So, the sequence is represented as

Sequence = Event * 5

Substitute the known values in the above equation, so, we have the following representation

Sequence = (3x + 2) * 5

Evaluate the product

Sequence = 15x + 10

This means that the sequence is 15x + 10

Hence, Alex is incorrect and Sara is right

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The sum of the interior angle measures of the given polygon , given that it is a convex polygon is 540 °

The polygon given is a convex polygon , and has 5 sides . This means that it is a Pentagon .

Each interior angle in a regular convex pentagon, measures 108 ° . This means that the sum of the interior angle measures is therefore :
= Measure of interior angles x Number of angles in Pentagon

= 108 x 5

= 540 °

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Answer:

Geometric -64, 128,-256

Step-by-step explanation:

It follows the same pattern of alternating + and - and has the quadratic increase as the others

Answer: B

Step-by-step explanation:

Answer:

x = 14

Step-by-step explanation:

given Δ MNO and Δ QRS are similar then the ratios of corresponding sides are in proportion , that is

[tex]\frac{NO}{RS}[/tex] = [tex]\frac{MN}{QR}[/tex] ( substitute values )

[tex]\frac{x}{7}[/tex] = [tex]\frac{10}{5}[/tex] = 2 ( multiply both sides by 7 to clear the fraction )

x = 7 × 2 = 14

There are 3 medium pizzas and 6 large pizza.

Let medium pizza = x

Let large pizza = y

Since she she places the order from Tony's pizza across the street, she learns that each medium pizza has 6 slices, and each large pizza has 8 slices and Ms. Johnson orders 9 total pizzas with a total of 66 slices

This will be:

x + y = 9 ..... i

6x + 8y = 66 ..... ii

From i, x = 9 - y

Put this into equation ii

6x + 8y = 66

6(9 - y) + 8y = 66.

54 - 6y + 8y = 66.

2y = 12

Divide

y = 12/2

y = 6.

Therefore there are 6 large pizzas

Medium pizza = 9 - 6 = 3

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At least 4 days means 4 or more; in this example, 4, 5, or 6

a 17/190  ≈ 0.089

b 24/190  ≈ 0.126

Step 1:

At least 4 days means 4 or more; in this example, 4, 5, or 6. So

Estimated Probability (Car Refill Gaps)

in general ,estimated probability observe =The frequency of a particular

                                                                            outcome/The no: of times an

                                                                                               experiment is

                                                                                                    repeated

This particular task observes=The no: of time a 4 day refill gap occurs/

                                                                 The total frequency  of refill gap

                                                                                                        days

Case a total of 190 refill gap days occurred. Of those 17 were 4 days gap

Estimated probability in these case 17/190 or 0.089

This particular task observe= The no : of times 4 day or more refill gap

                                                   occurs/The total frequency of refill gap

                                                                    day

Case a total of 190 refill gap day occurred of these 24 were 4+ day gap

Estimated probability in these case 24/190 or 0.126

Step 2:

a 17/190 ≈ 0.089

b 24/190  ≈  0.126

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​

The expression that represents how much Cora spent = $0.85c + $1.15 g

An expression is a mathematical statement used to represent the method of a mathematical operation in a symbolic form.

Mathematical terms and operators are combined to form an expression.

Terms can be numerical or numerical and variables both.

As example 3y + 5 z + 10 is an expression that has been developed based on two variables y and Z, three numbers 3, 5 and 10.

Given, cost of each chocolate bar = $0.85

cost of Gummy worms per package = $1.15

If c is the numbers of chocolate bar and g is the number of packages of Gummy worms that Cora bought, then the expression will be

$0.85 c + $1.15 g

which has two variables and two decimal numbers

hence, Cora spent $0.85c + $1.15g

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The correct answer is option a). The parameter of interest is the mean mpg of the 10 cars.

This parameter is important because it is the average mpg of the sample that is being used to measure the fuel efficiency of the car model. This parameter is important because it provides an indication of how efficient the car model is. By measuring the mpg of a sample of 10 cars, the researchers can get an indication of how the entire population of cars of this particular model perform.

The mean mpg of all cars of this particular model is the population parameter and is the overall average mpg of all cars of this particular model. The mpg measurements of this car model is the individual measurements for each car in the sample, which are used to calculate the mean mpg of the 10 cars.

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The scalar product of two parallel unit vectors, is equals to one i.e., i.e., = 1 , = 1 and = 1 .

Scalar Product: The scalar product is also known as dot product. The scalar product of two vectors can be constructed by taking the component of one vector in the direction of the other vector and multiplying it by magnitude of other vector. That gives scalar as a result. Scalar don't have a direction associated with them. The scalar product of vector A and vector B is equal to |A| |B|Cosθ , where |A|, |B| represent magnitude of vector A and vector B and θ angle between the two vectors direction.

We have to determine the scalar product of , and Here and are the unit vectors in the direction along the x-axis. So, they are parallel to each other, that's why θ = 0° and = 1 . Therefore, = (1) (1) cos 0° = 1. Similarly, = 1 ( unit vectors in direction along the y-axis) and = 1 ( along z-axis). Hence, the dot product of the two unit vectors and is equal to one for each

The percentage of male guinea pigs in the pen at the pet store is 30%.

The percentage refers to the ratio of a number or value compared to another.

Percentages are the results of division operations multiplied by 100.

The ratio of female to male guinea pigs = 7:3

The sum of ratios = 10

The percentage of female guinea pigs = 70% (7/10 x 100)

The percentage of male guinea pigs = 30% (3/10 x 100)

Thus, we can conclude that whereas there are 70% of female guinea pigs in the pet store's pen, 30% are male.

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To find triangle pairs congruent by the HL (Hypotenuse-Leg) condition, first identify the hypotenuse (the longest side) and the leg (the side adjacent to it).

To find triangle pairs congruent by the HL condition, first identify the hypotenuse and the leg in each triangle. The hypotenuse is the longest side, while the leg is the side adjacent to it. Once the hypotenuse and leg have been identified in both triangles, measure them to ensure they are the same length. If they are the same length, then the triangles are congruent by the HL condition. If the hypotenuse and leg of both triangles match in length, then the two triangles are congruent to each other. This means all three sides of the two triangles will be the same length, making them congruent by the HL condition.

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The probability of at least two people bringing the same item is 0.19.

The probability of two people bringing the same item can be calculated using the formula P(A∩B) = P(A) × P(B). In this case, P(A) and P(B) are both 1/10, since each person has the same chance of choosing any one of the 10 items on the list. Therefore, the probability of two people bringing the same item is 1/100. To calculate the probability of at least two people bringing the same item, we can use the formula P(A∪B) = P(A) + P(B) - P(A∩B). In this case, P(A∪B) = 1/10 + 1/10 - 1/100 = 0.19. Therefore, the probability of at least two people bringing the same item is 0.19.

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The two places she can put lens and give object and image distances are 15cm and 75cm.

The Lens equation gives us:

1/f = 1/u + 1/v

From the problem we know that,

v=90-u

By solving

u² - 90u + 1125 = 0.

An optical system's focal length, which is the inverse of the system's optical power, indicates how strongly the system converges or diverges light. A system with a positive focal length is said to converge light, and one with a negative focal length is said to diverge light.

A negative focal length, on the other hand, indicates how far in front of the lens a point source must be located to form a collimated beam, for the special case of a thin lens in air, where a positive focal length is the distance over which initially collimated (parallel) rays are brought to a focus. For more generic optical systems, the focal length is merely the inverse of optical power and lacks any intuitive significance.

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Answer:

24

Step-by-step explanation:

You can solve exponential decay questions using the decay rate and the exponential decay formula.

Exponential decay is a common mathematical concept that can be difficult to master. Fortunately, there are some key strategies that can help you solve exponential decay questions.

To begin, it’s important to understand the concept of exponential decay, which is the decrease in the value of a quantity over time.

From there, you’ll need to identify the decay rate, or the speed at which the quantity is decreasing.

Next, you’ll want to use the exponential decay formula to calculate the final value of the quantity.

The formula is

dN/dT = -λN

where

N = quantity

λ= exponential decay constant

T= time

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Answer:

lose 12y yards AKA( 3rd option)

Step-by-step explanation:

Answer: 77x+21y

Step-by-step explanation:

Answer: To find the price of the sweater before the discount, you need to determine how much the discount saved Rahul and divide that amount by the discount rate.

The discount saved Rahul 20 / 0.25 = 80 rupees.

So, the price of the sweater before the discount was 80 + 20 = 100 rupees.

Step-by-step explanation:

After 15 hours, the faster car will be 75 miles ahead of the slower car.

Speed can be calculated as the ratio of distance traveled to the time taken

We are Given,

Speed of first car = 30 miles per hour

Speed of second car = 25 miles per hour

Let, x be the number of hours.

Distance covered by first car = Speed x time = 30x

Distance covered by second car = 25x

According to given statement;

Difference between distance covered by both cars = 75 miles

Distance of faster car - Distance of slower car = 75 miles

30x - 25x = 75

5x = 75

x = 15

Hence, After 15 hours, the faster car will be 75 miles ahead of the slower car.

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Answer:

1+1=2

Step-by-step explanation:

2=1+1

The vertices of ABC shown as A(-4, 4), B(-2, 4), and C(-3, 2). when reflected across the y-axis to produce the image A'B'C', the coordinate of the vertex A is

Reflection is one of the movements in transformation that involve creation of mirror image

Transformation rule for reflection over x-axis at origin (0, 0)) is

(x, y) → (x, -y)

Transformation rule for reflection over line y-axis at origin (0, 0)) is

(x, y) → (-x, y)

The problem involves reflection over y axis hence we use the rule

(x, y) → (-x, y)

Vertex A has the coordinate of the preimage as A(-4, 4) then after reflection the coordinate of the image will be A' (4, 4)

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Answer: 10

Step-by-step explanation:

Using the Pythagorean theorem we know a^2 + b^2 = c^2.

We can plug in 8 and [tex]2\sqrt{41[/tex] for b and c.

a^2 + 8^2 = [tex]2\sqrt{41}[/tex]^2

a^2 + 64 = 164

a^2 = 100

a = 10

The least-squares error in the least-squares solution of ax = b is given by the equation:

[tex]||b - ax||^2 = (b - ax)^T(b - ax) = b^Tb - 2a^Tbx + a^Tax[/tex]

The least-squares solution is the value of x that minimizes this error. This occurs when the derivative of the error with respect to x is equal to zero, and the second derivative is positive.

To find the least-squares solution, we take the derivative with respect to x and set it to zero:

[tex]-2a^T(b - ax) = 0\\a^Tb = a^Tax[/tex]

This gives us the normal equation, which is the equation that x must satisfy in order to minimize the error. The solution of this equation is:

[tex]x = (a^Ta)^-1a^Tb[/tex]

This is the least-squares solution of the equation ax = b, and it is the value of x that minimizes the least-squares error. The least-squares error is given by the equation:

[tex]||b - ax||^2 = b^Tb - 2a^Tbx + a^Tax = b^Tb - a^T(a(a^Ta)^-1a^Tb) = b^Tb - a^T(a^Tb)[/tex]

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The markup price is $464 and the expression to find the markup price is 320×1.45

Markup shows how much more a company's selling price is than the amount the item costs the company.

Given that, the price of a $320 tablet after a 45% markup.

This mean that, the tablet price is being hiked by 45%,

Therefore,

Total price will be = 45% of 320 + 320

= 45 / 100 x 320 + 320

= 144 + 320

= 464

Hence, the markup price is $464 and the expression to find the markup price is 320×1.45

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Answer:

10 : 24 : 26

15 : 36 : 39

Step-by-step explanation:

You can multiply all numbers in the ratio to find equivalent ratios that would function as different sets of sides because it's just a larger version of the 5: 12 : 13 triangle

The implicit differentiation of the given function is dy/dx = ((-4x-8y))/((8x +12y+ 13)).

In implicit differentiation, each side of an equation with two variables (usually x and y) are differentiated by treating one of the variables as a function of the other. The technique of implicit differentiation enables the determine the derivative of y with respect to x without having to solve the given equation for y. The chain rule must be used whenever the function y is being differentiated because of the assumption that y may be expressed as a function of x.

In order to find the differentiate implicitly,

d/dx  (2x^2+8xy+6y^2+13y-2)=0

4x + 8y + 8xdy/dx + 12ydy/dx + 13dy/dx = 0

dy/dx (8x + 12y + 13) = -4x -8y

dy/dx = ((-4x-8y))/((8x +12y+ 13))  

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