Replace the ? with a number that balances the equation. -3.4 = -2 + ? ​

The slope of the point (12,-2) and (4,-6) is; 1/2

The equation of the straight line has its slope and given point.

If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation;

y-y₁ = m(x-x₁)

we have been given two points (12,-2) and (4,-6).

Then the slope is;

m = (-6 - (-2))/ (4 - 12)

m = -4 / -8

m = 1/2

The equation of line is y + 2 = 1/2(x - 12)

Hence, the slope of the point (12,-2) and (4,-6) is 1/2.

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a) Where the above   conditions are given,there are 16,384 ways to put toppings on the pizza.

b) a large 5-item pizza costs $15.86.

a) In this case, there are 14 available toppings, so the number of ways to put toppings on the pizza is  -

Number of ways = 2¹⁴ = 16,384

This means that there are 16,384 ways to put toppings on the pizza.

b) The 5-item   pizza includes the cheese and4 additional toppings. So, we need to calculate the cost of the 4 additional toppings.

Cost of   additional toppings = 4 * $1.59 = $6.36

Adding the cost of the additional toppings to the base cost of the cheese pizza  -

Total cost = Base cost + Cost of additional toppings

= $9.50 + $6.36

= $15.86

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Answer:

0.666667*​x+​4-​3/​5-​2

HOPE I HELP!!!! :)

Answer:

B.

Step-by-step explanation:

Time series is a series of data points indexed (listed or graph) in a time order.

Answer:

D

Step-by-step explanation:

the answer is D because measuring the humidity in the air is not a time laps based measurement

Answer:

x=3.2

x=15/6

x=3 1/5

es que necesito para diagnostico

Here. You go! I wrote down the notes for each note and I wrote down the fingering on the doc! I hope this help!! :-)

Answer:

\(a = \frac{49}{2}\)

\(b = 18\)

Step-by-step explanation:

Lets focus on the third equation to find a:

50 - 2a = 1

Add 2a to both sides of the equation:

50 - 2a + 2a = 1 + 2a

50 = 1 + 2a

Subtract 1 from both sides of the equation:

50 - 1 = 1 + 2a - 1

49 = 2a

Divide both sides by 2:

\(\frac{2a}{2} = \frac{49}{2}\)

\(a = \frac{49}{2}\)

Now substitute in the know a variable into the first equation:

\(2a - 3b = -5\)

\(49 - 3b = -5\)

Add 3b to both sides:

\(49 - 3b + 3b = -5 + 3b\\49 = -5 + 3b\)

Add 5 to both sides:

\(49 + 5 = -5 + 3b + 5\)

54 = 3b

Divide both sides by 3:

\(\frac{53}{3} = \frac{3b}{3}\)

\(b = 18\)

c cannot be solved as there is no c variable.

Hope this helps!

$ 40

the new price she's selling her MP3 player.

3/4 of 40 or (3/4)*40

= $30.

so, she is selling her MP3 player for $30.

Answer:

you can try Multiplying 8 over 1 and 4 over1

The directional derivative of the function in the direction of the given vector is positive, indicating that the function is increasing in that direction.

The directional derivative is a measure of the rate of change of a function in a particular direction. To calculate the directional derivative, we need to take the dot product of the gradient of the function with the unit vector in the given direction. The sign of the directional derivative tells us whether the function is increasing or decreasing in that direction.
In this case, we are given that the angle between the vector and a unit vector is 99 degrees. Since the dot product of two vectors is equal to the product of their magnitudes times the cosine of the angle between them, we can write:
cos(99) = (u . v) / (|u| |v|)
where u is the given vector and v is the unit vector. We know that the magnitude of the unit vector is 1, so we can

simplify:
cos(99) = u . v / |u|
Multiplying both sides by |u|, we get:
cos(99) |u| = u . v
This tells us the magnitude of the projection of the vector u onto the unit vector v. If u and v point in the same direction, the projection is positive; if they point in opposite directions, the projection is negative.
Since u is nonzero and the angle between u and v is less than 180 degrees (i.e., they point in the same direction), the sign of the projection is positive.

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The maximum rate of change always occurs in the direction of the gradient.

The directional derivative of a function f(x, y) in the direction of a unit vector v = ⟨a, b⟩ is defined as follows:

D_vf(x, y) = ∇f(x, y) · v

∇f(x, y) represents the gradient vector of f(x, y), which is defined as ∇f(x, y) = ⟨∂f/∂x, ∂f/∂y⟩. It is a vector that points in the direction of the steepest ascent of the function at a given point (x, y).

v = ⟨a, b⟩ is the unit vector that determines the direction in which we want to compute the derivative.

To show why the maximum rate of change of a function always occurs in the direction of the gradient, we can use the definition of the directional derivative.

Let's consider the dot product ∇f(x, y) · v, where v is a unit vector:

∇f(x, y) · v = ||∇f(x, y)|| ||v|| cosθ

In this equation, ||∇f(x, y)|| represents the magnitude (or length) of the gradient vector, ||v|| is the magnitude of the unit vector v (which is 1), and θ is the angle between ∇f(x, y) and v.

Since ||v|| = 1, the equation simplifies to:

∇f(x, y) · v = ||∇f(x, y)|| cosθ

The maximum value of the cosine function is 1, which occurs when the angle θ between the vectors is 0° (or when they are parallel). In this case, cosθ = 1, and the equation becomes:

∇f(x, y) · v = ||∇f(x, y)||

Therefore, the maximum rate of change of the function f(x, y) occurs when the angle between the gradient vector ∇f(x, y) and the direction vector v is 0°, or when they are parallel. In other words, the maximum rate of change happens when we move in the direction of the gradient.

This result is intuitive since the gradient vector points in the direction of the steepest ascent of the function. Moving in the direction of the gradient allows us to maximize the rate of change of the function at a given point.

If we were to move in a different direction, the dot product would be smaller than the magnitude of the gradient vector, resulting in a slower rate of change.

Therefore, the maximum rate of change always occurs in the direction of the gradient.

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Marco's age is 3, his father's age is 33, and his mother's age is 29. All of these ages are prime numbers and fulfill the given conditions.

The ages of Marco, his father, and his mother are all prime numbers. To find their ages, let's start by assigning variables. Let Marco's age be represented by the variable M.

According to the information given, Marco's father is 30 years older than Marco. So, we can represent his father's age as M + 30.

It is also stated that Marco's mother is 4 years younger than his father. Therefore, we can represent his mother's age as M + 30 - 4, which simplifies to M + 26.

Since all the ages are prime numbers, we can try different values for M to find the prime numbers that satisfy the given conditions.

One possible solution could be:
- Marco is 3 years old (M = 3).
- Marco's father is 33 years old (M + 30 = 3 + 30 = 33).
- Marco's mother is 29 years old (M + 26 = 3 + 26 = 29).

In this case, Marco's age is 3, his father's age is 33, and his mother's age is 29. All of these ages are prime numbers and fulfill the given conditions.

It's important to note that there could be other combinations of prime numbers that satisfy the conditions, so this is just one example.

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Hi there!

\(\large\boxed{k> 6.125}\)

We can use discriminants to determine the value of k for which the equation would have complex solutions. (Those involving i)

If b² - 4ac < 0, then the equation will have complex solutions. Therefore:

Plug in the given values of b and a to solve:

7² - 4(2)(k) < 0

Simplify:

49 - 8k < 0

Solve the inequality:

49 < 8k

6.125 < k

k > 6.125. Anything greater than 6.125 would result in complex solutions.

Answer:

b and d

Step-by-step explanation:

The ways you can tell that there is no solution to a system of equations are:

A linear equation is represented as:

\(y = mx+c\)

Where:

When the equations in a system of linear equation has the same slope, then the equations are parallel, and they have no solution.

Hence, the true statements are (b) and (d)

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Answer:

68.3%

Step-by-step explanation:

Using the relation :

Zscore = (x - Mean) / standard deviation

For, x between 46 and 54

Zscore = ((54 - 50) / 4) - ((46 - 50) / 4)

P(Z < 4/4) - P(Z < -4/4)

P(Z < 1) - P(Z <-1)

0.84134 - 0.15866

= 0.68268

= 0.68268 * 100%

= 68.3%

Answer:

A standardized test is designed so that scores have a mean of 50 and a standard deviation of 4. What percent of scores are between 42 and 58?

Step-by-step explanation:

about 95.4%

Answer:

C

Step-by-step explanation:

1/18 x³y + 7/18 xy²

1/18 xy (x² + 7y)

Step-by-step explanation:

let debbie be x years

let felix be 6x years

in 12 years felix will be 2x older than debbie

do the calc

Answer:

vertex: -2,1

Step-by-step explanation:

You need to graph it.

Answer:

For number 5, it is D

For number 6, it is A

Step-by-step explanation:

For number 5, we have the dimensions options here.

We first need to check to see if all the choices give the perimeter of 34, as sometimes there are trick answers.

We know the 34 is the perimeter because we are looking for area, so we add the two given numbers and double it to find the perimeter since we have the length and width.

*(Formula for perimeter is 2(L + W)  )

(I already checked them all, and they all give to be 34 so they are all safe.)

Then we find the areas of each.

*(Formula for area is L * W   {the " * " symbol represents multiplication.)

We multiply 12 by 5 to get 60.

We multiply 13 by 4 to get 52.

We multiply 10 by 7 to get 70.

We multiply 9 by 8 to get 72.

Since we are looking for the greatest area, we look for the greatest number, which is the 72.

Therefore the 9 by 8 option, or D is correct.

For number 6, we are looking for the minimum perimeter and we have the area, so we set the same thing up except modified slightly.

We first check if all the areas are 64 to look for a trick answer.

We multiply 8 by 8 to get 64.

We multiply 1 by 64 to get 64.

We multiply 6 by 6 to get 36. (WHAT?!!?!! omg me big brain lolza. {nah jk})

We multiply 32 by 2 to get 64.

So we know the 6 by 6 option or C is wrong.

Then we look for the perimeters of the dimension solutions.

(This will skip C so it will go A, B, and then D, since we know C is incorrect and is unrelated now.)

2 ( 8 + 8 ) =  32

2 ( 1 + 64 ) =  130

2 ( 32 + 2 ) =  68.

Since we are looking for the smallest perimeter, it is the smallest answer this time.

So it must be A, since 32 is the smallest.

Hope this helps!

Answer:

Answer: 284.7

Step-by-step explanation:

Step-by-step explanation:

radius of cone and hemisphere are the same

volume of half sphere=(1/2)*(4/3)*

                                   =(1/2)*(4/3)*3.14*                       (4*4*4=64)

                                   =133.97333

                                   =133.97

volume of cone= (1/3)h

                        =(1/3)*3.14**9                                      (4*4=16)

                        =150.72

total volume=133.97+150.72

                   =284.69

                   =284.7

Answer:

3600

Step-by-step explanation:

Since the question gives you p, you replace p (which is just a placeholder) with 5.

Your equation should look like this:

\((6*2(5))^2 = 3600\)

Answer:

V = 21145.01 mm³

Step-by-step explanation:

Given that:

The radius of the gumball = 30  mm

The radius of the spherical hollow-core = 28 mm

Consider the radius of the gumball to be \(r_2\) and the radius of the spherical hollow-core to be \(r_1\). Then;

The volume of the gumball can be determined by using the formula of a sphere.

\(V = \dfrac{4}{3}\pi (r_2^3 - r_1^3)\)

\(V = \dfrac{4}{3} \times \pi \times (30^3 - 28^3)\)

V = 21145.01 mm³

The magnitude of the frictional force is 2.4 N.

Frictional force is the force generated when two surfaces make contact and slide against each other. Frictional force is influenced by several factors, including: These forces are most influenced by the surface roughness and the amount of force pushing them together.

According to Newton's second law of motion

F = ma

We get,

F=4.0 kg 4 m/s2 = 9.6 kgm/s2 = 9.6N

The amount of the frictional force exerted on the item during the push is the net force, which is the vector sum of the applied force (F) and the frictional force (F).

F ɴᴇᴛ = Fᴀ + Fg

Fg = F ɴᴇᴛ - Fᴀ

Fg = 9.6 N - 12 N = -2.4 N

The magnitude of the frictional force is 2.4 N.

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Answer:  Hence sum of interior angles of a convex 16-sided polygon would be 180∘×(16−2)=180∘×14=2520∘

Step-by-step explanation:

Answer:

------------------------

To find the sum of the interior angles of a 16-sided polygon, you can use the formula:

In our case, n = 16.

Substitute the value of n into the formula:

The matching choice is D.