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2 years ago

Which of the following inequalities is correct?

Mathematics

2 answers:

Elza [17]2 years ago

7 0

Answer:6 should be right

Step-by-step explanation: since the absolute value of -6 is 6, it satisfies the equation

|-6|=6

6 is less than or EQUAL to 6

Elina [12.6K]2 years ago

3 0

Answer:

The last one

Step-by-step explanation:

You might be interested in

Suppose j varies jointly with g and v, and j=2 when g=4 and v=3. <br> Find j when g=8 and v=9.

vladimir2022 [97]

Answer:

$j=12$

Step-by-step explanation:

we know that

In a join variation, If j varies jointly with respect to g and v, the equation will be of the form $j = kgv$

where k is a constant

step 1

Find the value of k

we have

j=2,g=4,v=3

substitute and solve for k

$2 = k(4)(3)$

$2 = 12k$

$k=\frac{1}{6}$

The equation is equal to

$j=\frac{1}{6}gv$

step 2

Find the value of j when g=8,v=9

substitute the values in the equation and solve for j

$j=\frac{1}{6}(8)(9)$

$j=12$

3 0

2 years ago

China's Shanghai Tower will be finished in 2014. The building will be 2,074 feet high and have 121 stories. Based on these numbe

ivanzaharov [21]

Answer:

17 feet

Step-by-step explanation:

there are 121 stories and a total of 2,074 feet so you would divide 2,074 by 121 and you would get 17 feet rounded up.

3 0

2 years ago

Read 2 more answers

Step 1: A poll of 1500 college students were asked whether or not they had used the Internet to find a place to live sometime wi

Gnoma [55]

Answer:

n = 1500

Step-by-step explanation:

The sample size is the number of students that were asked

n = 1500

7 0

3 years ago

What is the quadratic function f(x)=x^2+6x-2 In vertex form?

Yuliya22 [10]

Answer: Option D

$f(x)=(x+3)^2 -k$

Step-by-step explanation:

For a quadratic function of the form

$ax ^ 2 + bx + c$

The x coordinate of the vertice is:

$x =-\frac{b}{2a}$

In this case the function is:

$f(x)=x^2+6x-2\\\\$

$a=1\\b=6\\c=-2$

The x coordinate of the vertice is:

$x=-\frac{6}{2*1}\\\\x=-3$

The y coordinate of the vertice is:

$f(-3) = (-3)^2 +6(-3) -2\\\\f(-3)=-11$

The vertice is: (-3, -11)

The form e vertice for a quadratic equation is:

$f(x)=(x-h)^2 +k$

Where

the x coordinate of the vertice is h and the y coordinate of the vertice is k.

Then h=-3 and k =-11

Finally the equation $f(x)=x^2+6x-2\\\\$ in vertex form is:

$f(x)=(x+3)^2 -k$

6 0

3 years ago

Read 2 more answers

Find the volume of the sphere. Either enter an exact answer in terms N(Pi) Or ya 3.14 for N(pi)

xz_007 [3.2K]

Full Question:

Find the volume of the sphere. Either enter an exact answer in terms of π or use 3.14 for π and round your final answer to the nearest hundredth. with a radius of 10 cm

Answer:

The volume of the sphere is ⅓(4,000π) cm³ or 4186.67cm³

Step-by-step explanation:

Given

Solid Shape: Sphere

Radius = 10 cm

Required

Find the volume of the sphere

To calculate the volume of a sphere, the following formula is used.

V = ⅓(4πr³)

Where V represents the volume and r represents the radius of the sphere.

Given that r = 10cm,.all we need to do is substitute the value of r in the above formula.

V = ⅓(4πr³) becomes

V = ⅓(4π * 10³)

V = ⅓(4π * 10 * 10 * 10)

V = ⅓(4π * 1,000)

V = ⅓(4,000π)

The above is the value of volume of the sphere in terms of π.

Solving further to get the exact value of volume.

We have to substitute 3.14 for π.

This gives us

V = ⅓(4,000 * 3.14)

V = ⅓(12,560)

V = 4186.666667

V = 4186.67 ---- Approximated

Hence, the volume of the sphere is ⅓(4,000π) cm³ or 4186.67cm³

4 0

3 years ago