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nataly862011 [7]
2 years ago
8

A 7 foot by 3 foot doorway is to be cut into the trapezoid shaped wall. What is the area of the wall without the doorway

Mathematics
1 answer:
Hatshy [7]2 years ago
7 0
Xsqaured+21squared there is the answer
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Given the expression below if p=-3/2 which is thr smallest subset containing the value of the expression.
meriva

A set of numbers literally means a group of numbers.

The smallest subset p = -\frac 32 can belong to is the set of rational numbers.

Given

p = -\frac 32

First, we determine the value of the expression

p = -1.5

In the set of numbers, -1.5 belongs to two possible sets.

  1. <em>Real numbers</em>
  2. <em>Rational numbers</em>

All rational numbers are real numbers, but all real numbers are not rational numbers.

This means that:

  • <em>The set of real numbers is greater than the set of rational numbers.</em>
  • <em>Rational number is a subset of real number</em>

<em />

So, the smallest subset p = -\frac 32 can belong to is the set of rational numbers.

Read more about set of numbers at:

brainly.com/question/4735895

5 0
2 years ago
Use lagrange multipliers to find the points on the given surface that are closest to the origin. y2 = 64 + xz
Inessa [10]
The distance between an arbitrary point on the surface and the origin is

d(x,y,z)=\sqrt{x^2+y^2+z^2}

Recall that for differentiable functions g(x) and h(x), the composition g(h(x)) attains extrema at the same points that h(x) does, so we can consider an augmented distance function

D(x,y,z)=x^2+y^2+z^2

The Lagrangian would then be

L(x,y,z,\lambda)=x^2+y^2+z^2+\lambda(y^2-64-xz)

We have partial derivatives

\begin{cases}L_x=2x-\lambda z\\L_y=2y+2y\lambda\\L_z=2z-\lambda x\\L_\lambda=y^2-64-xz\end{cases}

Set each partial derivative to 0 and solve the system to find the critical points.

From the second equation it follows that either y=0 or \lambda=-1. In the first case we arrive at a contradiction (I'll leave establishing that to you). If \lambda=-1, then we have

\begin{cases}2x+z=0\\2z+x=0\end{cases}\implies x=0,z=0

This means y^2=64\implies y=\pm8

so that the points on the surface closest to the origin are (0,\pm8,0).
8 0
2 years ago
Carolyn is using the table to find 360% of 15. What values do X and Y represent in her table? Percent Total 100% 100% 100% 20% 2
asambeis [7]

Answer:   c

Step-by-step explanation:

Based on the percent breakdown of 360%.

100% 100% 100% 20%20%20%

15.       15.      15.    3.     3.     3.

100% is all of it, so 15. This is x.

20% of it would be calculated as 0.2 x 15 or 3. This is y.

7 0
2 years ago
Read 2 more answers
An exponential function and a quadratic function are graphed below. Which of the following is true of the growth rate of the fun
aleksley [76]
Given an exponential function, say f(x), such that f(0) = 1 and f(1) = 2 and a quadratic finction, say g(x), such that g(0) = 0 and g(1) = 1.

The rate of change of a function f(x) over an interval
a \leq x \leq b
is given by
\frac{f(b)-f(a)}{b-a}

Thus, the rate of change (growth rate) of the exponential function, f(x) over the interval
0 \leq x \leq 1
is given by
\frac{f(1)-f(0)}{1-0} = \frac{2-1}{1} =1

Similarly, the rate of change (growth rate) of the quadratic function, g(x) over the interval
0 \leq x \leq 1
is given by
\frac{g(1)-g(0)}{1-0} = \frac{1-0}{1} =1

Therefore, the exponential grows at the same rate as the quadratic in the interval <span>0 \leq x \leq 1.</span>
3 0
2 years ago
Read 2 more answers
tim estimates that 60÷5.7 is about 10. Will the actual quotient be greater then or less than 10? explain
lana66690 [7]
The actual quotient will be greater than 10 because 60 divided by 5 is 12, so the answer will be between 10 and 12, so it will be greater than 10
7 0
2 years ago
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