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2 years ago

Which inequalities are true? Select the four correct answers.

Mathematics

2 answers:

In-s [12.5K]2 years ago

4 0

Answer:

1 2 3 5

Step-by-step explanation:

Julli [10]2 years ago

3 0

Answer:

Step-by-step explanation:

It might be wrong but im about to finish

Edit: This is incorrect

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Evaluate the spherical coordinate integral

expeople1 [14]

Rewrite the equations of the given boundary lines:

y = -x + 1 ==> x + y = 1

y = -x + 4 ==> x + y = 4

y = 2x + 2 ==> -2x + y = 2

y = 2x + 5 ==> -2x + y = 5

This tells us the parallelogram in the x-y plane corresponds to the rectangle in the u-v plane with 1 ≤ u ≤ 4 and 2 ≤ v ≤ 5.

Compute the Jacobian determinant for this change of coordinates:

$J=\begin{bmatrix}\frac{\partial u}{\partial x}&\frac{\partial u}{\partial y}\\\frac{\partial v}{\partial x}&\frac{\partial v}{\partial y}\end{bmatrix}=\begin{bmatrix}1&1\\-2&1\end{bmatrix}\implies|\det J|=3$

Rewrite the integrand:

$-3x+4y=-3\cdot\dfrac{u-v}3+4\cdot\dfrac{2u+v}3=\dfrac{5u+7v}3$

The integral is then

$\displaystyle\iint_R(-3x+4y)\,\mathrm dx\,\mathrm dy=3\iint_{R'}\frac{5u+7v}3\,\mathrm du\,\mathrm dv=\int_2^5\int_1^45u+7v\,\mathrm du\,\mathrm dv=\boxed{333}$

5 0

2 years ago

The answer to the following q.

Katen [24]

Answer:

See below ~

Step-by-step explanation:

Given :

⇒ m∠1 = m∠2

⇒ HD = GF

=============================================================

To Prove :

Δ EHD ≅ Δ EGF

============================================================

Solving :

⇒ m∠1 = m∠2 (Given)

⇒ HD = GF (Given)

⇒ ∠E = ∠E (Common angle)

⇒ ΔEHD ≅ ΔEGF (AAS congruence)

3 0

11 months ago

Read 2 more answers

HELP ME FIND THE SLOPE

Tomtit [17]

Answer:

$m=\frac{-5}{2}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Choose any 2 points from the chart.

Point (-6, 11)

Point (-2, 1)

Step 2: Find slope m

Substitute: $m=\frac{1-11}{-2+6}$
Subtract/Add: $m=\frac{-10}{4}$
Simplify: $m=\frac{-5}{2}$

4 0

2 years ago

Michael has $1,059.35 in his checking account. He is going to spend $466.43 on a new television, and he will spend the rest on s

sesenic [268]

Answer:

D. $43.00x + $466.43 < $1,059.35

Step-by-step explanation:

He has $1,059.35.

The amount of speakers he buys is x.

Each speaker is $43.00, and he is buying one television, which is $466.43.

All of the speakers he buys and(+) the television must be less than $1,059.35 because that's all he has. It cannot be more, which is why the equation is $43.00x + $466.43 < $1,059.35.

Hope this helps!

3 0

1 year ago

Read 2 more answers

Each of the following data sets has a mean of x = 10. (i) 8 9 10 11 12 (ii) 7 9 10 11 13 (iii) 7 8 10 12 13 (a) Without doing an

stepladder [879]

Answer:

Step-by-step explanation:

Given are 3 data sets with values as:

(i) 8 9 10 11 12 ... Mean =10

(ii) 7 9 10 11 13 ... Mean =10

(iii) 7 8 10 12 13 ... Mean =10

We see that data set shows mean deviations as

(i) -2 -1 0 1 2

(ii) -3 -1 0 1 3

(iii) -3 -2 0 2 3

Since variance is the square of std deviation, we find that std deviation is larger when variance is larger.

Variance is the sum of squares of (x-mean). Whenever x-mean increases variance increases and also std deviation.

Hence we find that without calculations also (i) has least std dev followed by (ii) and then (iii)

(i) (ii) (iii) is the order.

b) Between (i) and (ii) we find that 3 entries are the same and 2 entries differ thus increasing square by 9-4 twice. But between (ii) and (iii) we find that

increase in square value would be 4-1 twice. Obviously the latter is less.

6 0

2 years ago