Alex ate 4 less the 2 times the slices of pizza that Oliver ate.If Oliver ate 8 slices of pizza how many slices did alex eat?

Answer:

12.58

Step-by-step explanation:

the 8 is in the hundredth's place, and 2 is less than 5, so the 8 stays the same and you eliminate all the numbers to the right, so you get 12.58

The given equation of a plane, \(2y + 6x + z = 18\), and the scalar field \( \rho(x, y, z) = 8x\). The task is to determine the region in the first octant where the scalar field \(\rho\) lies. This can be done by analyzing the equation of the plane and the properties of the first octant.

In the first octant, all three coordinates (x, y, z) are positive or zero. To find where the scalar field \(\rho(x, y, z) = 8x\) lies within the first octant, we need to consider the equation of the plane \(2y + 6x + z = 18\) and its intersection with the positive x-axis.

Setting y and z to zero in the equation of the plane, we have \(6x = 18\), which gives \(x = 3\). Since \(\rho(x, y, z) = 8x\), we find that \(\rho\) is equal to 24 at x = 3.

In the first octant, x is positive, so the region where the scalar field \(\rho\) lies is the set of all points (x, y, z) in the first octant where \(0 \leq x < 3\). In other words, it is the region bounded by the coordinate planes, the plane \(2y + 6x + z = 18\), and the x-axis up to x = 3.

To visualize this region, imagine a box in three-dimensional space where the x-coordinate ranges from 0 to 3, the y-coordinate ranges from 0 to (9 - 3x)/2 (derived from the equation of the plane), and the z-coordinate ranges from 0 to 18 - 6x - 2y (also derived from the equation of the plane). This box represents the region in the first octant where the scalar field \(\rho\) lies.

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Answer:

4 gal / day

Step-by-step explanation:

12 gallons / 3 days

12/3 = 4

4 gallons / 1 day

Answer:

1. Domain: [0,120] Range: [0,300]

2. f(30) = 200; After 30 minutes, the altitude of the balloon is 200 feet.

3. x = 10; When the altitude of the balloon is 100 feet, the time has passed is equal to 10 minutes.

4. at 20-40 minutes

5. 70 minutes

6. x: {40 ≤ x ≤ 90}

Step-by-step explanation:

1. The line is between 0 and 120 on the x-axis and is between 0 and 300 on the y-axis.

2. When x = 30, y equals 200.

3. When y = 100, x equals 10.

4. The line stays on 200 for 20 minutes, between 20 and 40.

5. Between 30 and 100 minutes, the altitude is greater than 200.

6. All x values between 40 and 90 (including 40 and 90 too) matches with 300 as their y-coordinate.

Answer:

.1:

.2:

.3:

.4: At around 20 to thirty minutes

.5: From 20 to 90 minutes

.6:

Step-by-step explanation:sorry i dont know the others

The tires and the traction control system work in tandem to ensure maximum traction and stability, minimizing the risk of traction loss and improving overall vehicle control and safety.

The two most important parts of a vehicle in preventing traction loss are the tires and the traction control system.

Tires: Tires are the primary point of contact between the vehicle and the road surface. The quality and condition of the tires greatly influence traction. Tires with good tread depth and appropriate tread pattern are essential for maintaining grip on the road. Tread depth helps to channel water, snow, or debris away from the tire, preventing hydroplaning or loss of traction. Additionally, tire pressure should be properly maintained to ensure even contact with the road. Choosing tires suitable for the specific driving conditions, such as all-season, winter, or performance tires, is crucial for optimal traction and handling.

Traction Control System: The traction control system is a vehicle safety feature that helps prevent the wheels from slipping or spinning on low-traction surfaces. It uses various sensors to monitor the speed and rotation of the wheels. If the system detects a loss of traction, it will automatically reduce engine power and apply braking force to the wheels that are slipping. By modulating power delivery and braking, the traction control system helps maintain traction and prevent wheel spin, especially in challenging conditions like slippery roads or during quick acceleration.

The tires and the traction control system work in tandem to ensure maximum traction and stability, minimizing the risk of traction loss and improving overall vehicle control and safety.

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Answer:

Plot the points on the graphing calculator. Then generate a linear regression model.

f(x) = .6714x + 4.0536

Substituting 12 for x:

f(12) = about 12.1 million

The 4 steps to solve an equation:

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Answer:

1/3

Step-by-step explanation:

1/2 of spices

1/2 * 2/3 = 2/6 = 1/3

The light fixtures will make approximately 0.914 swings per second during a minor earthquake in San Francisco.

To determine the frequency of the swings per second for the light fixtures, we need to use the formula for the period of a pendulum, which is T = 2π√(L/g), where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity.

In this case, the length of the pendulum is given as 1.50 m, and the mass of the bulb is given as 2.35 kg. We can assume that the shade and cord add negligible mass to the system. The acceleration due to gravity is approximately 9.8 m/s^2.

Plugging in the values, we get:

T = 2π√(1.50/9.8)

T ≈ 1.093 seconds

The frequency of the swings per second is the reciprocal of the period, so:

f = 1/T

f ≈ 0.914 Hz

It's important to note that this is an approximation, and the actual frequency may vary depending on factors such as the amplitude of the oscillations and the specific characteristics of the earthquake.

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The answer to the question is 3√10.

The concept used here is radical expressions

Radicals, like fractions, are often simplified till you have got the littlest attainable elements. 

Be conscious of what numbers square measurewithin the unconventional sign and that square measure not! Unless you'll be able to take the rootof the individual prime numbers, they have to stay beneath the unconventional.The same methodworks for variables beneath the unconventional.

On multiplying  5 and 18 we get expression as -√90

90 can be rewritten as 9×10

9 can further be written as 3²

On simplifying we get √9×10

Since 9 is the square root of 3 we can take 3 outside the square root sign.

So the final answer is 3√10.

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According to the given statement in a 2 x 3 factorial design, the first factor has 2 levels and the second factor has 3 levels.

This means that there are 2 different conditions or treatments being compared in the first factor, and 3 different conditions or treatments being compared in the second factor.

The "between subjects variables" indicates that each subject is only assigned to one level of each factor, so there are 8 subjects in each combination of the first and second factors.

A 2 x 3 factorial design with between subjects variables has 2 levels in the first factor and 3 levels in the second factor.

There are 8 subjects per cell, meaning 8 subjects in each combination of the first and second factors.

A factorial design is a research design that allows researchers to investigate the effects of multiple factors simultaneously.

In this case, the design is 2 x 3, which means there are 2 levels in the first factor and 3 levels in the second factor.

The term "between subjects variables" means that each subject is only exposed to one level of each factor.

This ensures that the effects of each factor can be isolated and compared.

In this design, there are 8 subjects per cell, which means that there are 8 subjects in each combination of the first and second factors.

The first factor in this 2 x 3 factorial design has 2 levels, the second factor has 3 levels, and there are 8 subjects per cell.

This design allows researchers to study the effects of multiple factors on a dependent variable, while controlling for potential confounding variables.

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Answer:

The answer would be D

Step-by-step explanation:

2.10 would be a little after 2.

Hoped this helped :)

Answer:

the answer is

Step-by-step explanation:

D

Bar graph. This type of graph is ideal for comparing the number of sneakers sold by brand, as it clearly displays the numerical differences between them. It is also easy to interpret and visually appealing.

A bar graph is the best choice for displaying the number of sneakers sold by brand for the month. Bar graphs are used to compare data and show the differences between them. Each brand would be represented by its own bar, and the length of each bar would be determined by the number of sneakers sold. The bars can be labeled with the brand's name, and a numerical scale would be used at the bottom of the graph to indicate the number of sneakers sold. The data can be organized by either the number of sneakers sold (descending) or by the brand name (alphabetically). The bar graph would be easy to interpret and visually appealing. It is also a great way to compare the performance of different brands in a given period.

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Answer:

(3,2) just use a slope triangle (over 2 up 3) and do it in reverse

Step-by-step explanation:

The question is incomplete. Let us assume the two bathrooms have floors that each measure 24 square feet and third bathroom floor measures 18 square feet.

For the two bathrooms, the total area will be 2*24 = 48 square feet

Since the third bathroom measures 18 square feet, the total square feet for the  3 bathrooms is equal to 48sq. ft + 18 sq.ft = 64sq. ft

If the tile costs $2.39 per square foot, then the amount that 64sq. ft tiles will cost is expressed as:

1 sq. ft = $2..39

64sq.f = $x

Cross multiply:

1*x = 2.39* 64

x = $152.96

Hence the amount that the company's spent on tiles for the three bathrooms will be 15296 cents.

Note that the dimensions of bathrooms were assumed. You can follow the same procedure for any dimension given.

The answer is yes, (x + 6) is a possible length of a rectangle with area x² + x − 30.

To determine whether (x + 6) is a possible length of a rectangle with area x^² + x − 30, we can use an area model to visualize the situation.

First, we need to find the width of the rectangle.

The area of a rectangle is given by the formula A = lw,

where A is the area, l is the length, and w is the width.

We are given that the area is x² + x − 30, so we can set this equal to lw and solve for w:

x² + x − 30 = (x + 6)w

w = (x² + x − 30)/(x + 6)

The length of a rectangle must be greater than or equal to its width, so we need to check whether (x + 6) is greater than or equal to (x² + x − 30)/(x + 6). This simplifies to:

(x + 6) ≥ x² + x − 30

Expanding the left side and simplifying, we get:

x² + 12x + 36 ≥ x² + x − 30

11x ≥ -66

x ≥ -6

Since x must be a positive number (since we are dealing with lengths), we can conclude that (x + 6) is the possible length of the rectangle. Therefore, the answer is yes, (x + 6) is a possible length of a rectangle with an area x² + x − 30.

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Answer:

A

Step-by-step explanation:

5 is the hypotenuse, 3  is the opposite side, and 4 is the adjacent side. Thus, the cosine of A is adjacent/hypotenuse, hence 4/5.

Answer:

10(6)

Step-by-step explanation:

Hope it's right.....

The quadratic equation y = x² - 4x - 5 have ordered points at (0, -5), (4, -5), (-2, 7) and (6, 7)

An equation is an expression composed of variables and numbers linked together by mathematical operations.

The standard form of a quadratic equation is:

y = ax² + bx + c

where a, b and c are constants

The degree of a quadratic equation is 2.

Given that:

y = x² - 4x - 5

When x = 0; y = (0)² - 4(0) - 5 = -5

When x = 4; y = (4)² - 4(4) - 5 = -5

When x = -2; y = (-2)² - 4(-2) - 5 = 7

When x = 6; y = (6)² - 4(6) - 5 = 7

The quadratic equation y = x² - 4x - 5 have a vertex at (2, -9)

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Answer:

27 servings

Step-by-step explanation:

You must calculate the number of servings for each type of food and then add them. To calculate the number of servings, divide the amount of each food by the size of its serving.

Tuna: 5 / 1/2 = 5 * 2 = 10 servings

Chicken Salad: 2 / 1/4 = 2 * 4 = 8 servings

Egg salad: 3 / 1/3 = 3 * 3 = 9 servings

Total number of servings = 10 + 8 + 9 = 27

Answer: 27 servings

Answer:

slope: 4

Y intercept: -7

Step-by-step explanation:

slope intercept form is y=Mx+b

m- slope

b- y intercept

Looking at this equation where m is 4 is so the slope is 4

And where b is -7 is so the y intercept is -7

Hopes this helps please mark brainliest

Using the divergence theorem we can compute that the outward flux of the vector field is 16π .

The outward flux of F over the solid cylinder and z = 0 is

∫∫F·ds  = ∫∫∫ DivF dv

F = 2xy² i   +  2x²y j + 2xy k

Div F  =  D/dx (2xy²)  +   D/dy (2x²y )

Div F  =  2y²  +  2x²

In cylindrical coordinates   dV = rdrdθdz and as z = 0 the region is a surface ds = r·dr·dθ

Using the parametric form of the surface equation

x = rcosθ        y =  r sinθ      and z = z

Div F  = 2r² sin²θ  + 2r²cos²θ

∫∫∫ DivF dv  =  ∫∫ [2r²sin²θ  + 2r²cos²θ] × rdrdθ

∫∫ 2r² [sin²θ  + cos²θ] × rdrdθdz   ⇒  ∫∫ 2r³ drdθ

Integration limits

0 < r < 2          0 < θ < 2π

2∫₀² r³ ∫dθ

(2/4) × (2)⁴ × 2π

The divergence theorem, commonly known as Gauss' theorem or Ostrogradsky's theorem, is a theorem that connects the flow of a vector field across a closed surface to the field's divergence in the volume enclosed.

In more detail, the divergence theorem states that the surface integral of a vector field across a closed surface, sometimes referred to as the "flux" through the surface, is equal to the volume integral of the divergence over the region inside the surface.

Therefore the flux is 16π .

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Recall the Protractor Postulate which states that:

Consider the angle AOC, notice that the numbers matched with the rays of the angle OA and OC are 0 and 50 (note that you can either of the upper or lower numbers).

Hence, the measure of angle AOC is:

The measure of angle AOC is 50⁰.

Consider the angle FOE, notice that the numbers matched with the rays of the angle OF and OE are 140 and 120.

Hence, the measure of angle FOE is:

The measure of angle FOE is 20⁰.

Consider the angle COE, notice that the numbers matched with the rays of the angle OC and OE are 50 and 120.

Hence, the measure of angle COE is:

The measure of the angle COE is 70⁰.

Consider the angle EOB, notice that the numbers matched with the rays of the angle OE and OB are 50 and 120 and 30.

Hence, the measure of angle EOB is:

The measure of the angle EOB is 90⁰.

Finally, consider the angle EOD, notice that the numbers matched with the rays of the angle OE and OB are 120 and 90.

Hence, the measure of angle EOD is:

The measure of the angle EOD is 30⁰.

Answers:

The measure of angle AOC is 50⁰.

The measure of angle FOE is 20⁰.

The measure of the angle COE is 70⁰.

The measure of the angle EOB is 90⁰.

The measure of the angle EOD is 30⁰.

Answer:

3

Step-by-step explanation:

Midpoint means EF and FG are both 8 the whole thing is 19 so 19 - 16 = 3

Question

Seat belt use in a state was estimated at 89%,

which means 89 % of people use their seat belts. Suppose two independent drivers have been randomly selected.

a. What is the probability that both of them are using a​seatbelt?

b. What is the probability that neither of them is using a​seatbelt?

c. What is the probability that at least one is using a​seatbelt?

The probability that both of them are using a seatbelt is ?

Answer:

a

\(P(B) = 0.7921\)

b

\(P(B)' = 0.0121\)

c

\(P(K) = 0.9879\)

Step-by-step explanation:

From the question we are told that

    The proportion of seat belt use is  p =  0.89

     The  sample  size n =  2

Generally the probability that both drivers are wearing seat belt is mathematically represented as

       \(P(B) = (p)^n\)

=>     \(P(B) = (0.89 )^2\)

=>     \(P(B) = 0.7921\)

Generally the probability that neither of the two drivers are wearing seat belt is  

      \(P(B)' = (1 - p)^2\)

=>   \(P(B)' = (1 - 0.89)^2\)

=>   \(P(B)' = 0.0121\)

Generally the probability that at least one of the drivers is wearing a seat belt is  

        \(P(K) = 1 - P(B)'\)

=>     \(P(K) = 1 - 0.0121\)

=>     \(P(K) = 0.9879\)

The area of the paper not covered by the picture is 62 square inches

This refers to the area of the frame.

44 square inches + 18 square inches = 62 square inches

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\(\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}\)

Actually Welcome to the Concept of the Linear equation.

answer is

====> 4n-7

Answer:

4n-7

Step-by-step explanation:

sam has 4 times as many baseball cards as Declan.=4n

Amaya has 7 fewer baseball cards than sam.= -7

Always put the multiplication first.

Answer:

slope: 2

y- intercept: 60

equation: y= 2x + 60

Answer:

y=3

2x+3 ^&^^^^^^////£¥¥

Answer:

1/10

Step-by-step explananation: