Can you work this out: 14 x 14?
Answers
The product of the 14 x 14 is 196.
Given that we need to calculate 14 x 14,
To calculate 14 multiplied by 14, you simply multiply the two numbers together.
Here's the step-by-step process:
Start by multiplying the ones digit of the first number (4) by the ones digit of the second number (also 4).
4 x 4 = 16
Write down the ones digit of the result (6) and carry over the tens digit (1).
Next, multiply the tens digit of the first number (1) by the ones digit of the second number (4).
1 x 4 = 4
Add the carried over tens digit (1) to the result.
4 + 1 = 5
Write down the tens digit of the result (5) and carry over any remainingdigits (none in this case).
Finally, multiply the tens digit of the first number (1) by the tens digit of the second number (1).
1 x 1 = 1
Write down the tens digit of the result (1).
Putting it all together, we get:
14 x 14 = 196
Operation:
14
× 14
------
56 (4 × 14)
+140 (10 × 14)
------
196
Therefore, 14 multiplied by 14 equals 196.
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Answer:
14x14 is 196
Step-by-step explanation:
Use a calculator lol 14x14 is simple
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Real fourth roots of 256
1. The concession stand is selling hot dogs and hamburgers during a game. At halftime, they sold a total of 78 hot dogs and hamburgers and brought in $105.50. how many of each item did they sell if hamburgers sold for $1.50 and hot dogs sold for $1.25?
Answers
The required, there is no part of the sphere x² + y² + z² = 16 that lies above the cone z = x² + y², where z > x² + y².
To find the part of the sphere x² + y² + z² = 16 that lies above the cone z = x² + y², where z > x² + y², we can use spherical coordinates. In spherical coordinates, the equations for the sphere and the cone are simpler.
Spherical coordinates are represented as (ρ, θ, φ), where ρ is the radial distance, θ is the azimuthal angle (measured from the positive x-axis in the xy-plane), and φ is the polar angle (measured from the positive z-axis).
For the sphere x² + y² + z² = 16, the spherical representation is:
ρ = 4 (since ρ² = x² + y² + z² = 16)
For the cone z = x² + y², the spherical representation is:
ρ = ρ (since ρ^2 = x² + y²)
Now, to find the part of the sphere that lies above the cone (z > x² + y^2), we need to restrict the values of φ.
When z > x² + y², we have z = ρ cos(φ) > ρ².
Since ρ = 4, we get 4 cos(φ) > 4², which simplifies to cos(φ) > 4.
However, the range of φ in spherical coordinates is 0 ≤ φ ≤ π, which means that the values of φ that satisfy cos(φ) > 4 are not within the valid range.
Therefore, there is no part of the sphere x² + y² + z² = 16 that lies above the cone z = x² + y², where z > x² + y².
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Final answer:
We use the given equations of the sphere and cone and express them in spherical coordinates. The sphere lies on or above the cone when z's value in the sphere equation is greater or equal than z's value in the cone equation. One method is to use spherical coordinates and represent the radius and polar angle in terms of u and v.
Explanation:
The question involves spherical and rectangular coordinates and the relationship between the two. We are given the sphere's equation as x^2 + y^2 + z^2 = 16 and the cone's equation as z = x^2 + y^2. Here's one way to think of the part of the sphere that lies on or above the cone. If we view z=x^2 + y^2 as a function of x and y, the sphere lies above this cone when z's value in the equation of the sphere is greater or equal to the value of z in the cone's equation. To express x, y, and z in terms of u and/or v, you can use a method such as spherical coordinates.
In spherical coordinates, the relationship between spherical and rectangular coordinates can be represented as:
- x = r sin θ cos φ
- y = r sin θ sin φ
- z = r cos θ
Here r, θ, and φ are the radius, polar, and azimuthal angles respectively, which we can let u and v represent. One potential assignment is to let r=u and θ=v, assuming we want only two parameters.
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Answers
Answer:
3,604,389
Step-by-step explanation:
Monthly payment P =
where a = total loan amount, r = periodic rate, n = number of payment periods
a = 500,000 ; r = 0.12 ; n = (5 x 12) = 60 months
P =
P =
p = 60,073.151
Total amount paid = 60073.151 x 60 = 3,604,389
Answers
Answer:
n = -12
Step-by-step explanation:
hope it helped , darling .
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Answers
The standard deviation of the number of points earned by each group
The mean number of points earned by each player
The mean number of points earned by each group
Answers
Since the coach is studying the two different groups, the results will be more meaningful if the groups are compared to one another as opposed to the players. It would also make more sense to study the mean (or average) of the points scored, rather than the standard deviation (which is essentially a measure of how spread out a set of numbers are).
Answer:
The answer is The mean number of points earned by each group
Step-by-step explanation:
Answers
Answer:
y-9=-1(x+3)
Step-by-step explanation:
The formula for point slope is y2-y1=m(x2-x1). So, we can use the values of the given points to solve the equation for m, or, the slope. We get an equation with the result of 2-9=m(4+3), which gives us the slope as -1. Now, substitute your xy values back in, to get the equation