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

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.

Real numbers
Rational numbers

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

This means that:

The set of real numbers is greater than the set of rational numbers.
Rational number is a subset of real number

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 $0 \leq x \leq 1$ .

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