Describe the set of points in space whose coordinates satisfy the given inequalities or combinations of equations and inequalities.

a. 1 x2 + y2 + z2 25

b. x2 + y2 + z2 s25, x 20

A. The solid ball of radius 5 centered at (0,0,0) with the sphere of radius 1 centered at (0,0,0) removed.

B. The sphere of radius 5 centered at (0,0,0) together with the solid ball of radius 1 centered at (0,0,0).

C. The solid ball of radius 5 centered at (0,0,0) with the interior of the solid ball of radius 1 centered at (0,0,0) removed.

D. The sphere of radius 5 centered at (0,0,0) together with the sphere of radius 1 centered at (0,0,0).

Answers

Answer 1

The correct format of the question is

Describe the set of points in space whose coordinates satisfy the given inequalities or combinations of equations and inequalities.

a. [tex]1\leq x^2 + y^2 + z^2 \leq 25[/tex]

b. [tex]x^2 + y^2 + z^2 \leq 25, x \geq 0[/tex]

Answer:

(C).The solid ball of radius 5 centered at (0,0,0) with the interior of the solid ball of radius 1 centered at (0,0,0) removed.

Step-by-step explanation:

These are the equation of Spheres

In the equation [tex]1\leq x^2 + y^2 + z^2 \leq 25[/tex], when we will take square root of 25 we will get radius as 5 so the Sphere is varying from radius 1 to 5, Which will make it into a Solid sphere with the center at (0, 0, 0)

In the equation [tex]x^2 + y^2 + z^2 \leq 25, x \geq 0[/tex] it is given that the sphere is less than

radius 5 units.

Also there will be no sphere with radius from 0 to 1 because the sphere is starting from radius 1 and increasing till radius 5.

Therefore, The sphere is a solid increasing from radius 1 to 5.

and another solid sphere is removed from inside with radius increasing from 0 to 1.


Related Questions

Carlos found 6 pounds of gold coins! He divided the coins into pound bags. How many bags of coins does he have?​

Answers

Answer:

6

Step-by-step explanation:

6/1=6

Do you guys know this?

Answers

Answer:

3

Step-by-step explanation:

You solve the inner first, then move to the outer.

Let's look at g(3) first. It is stated in the problem that g(3) = 2.

We then use this value for f(x). It is stated in the problem that f(2) = 3.

The answer is 3.

You randomly choose two shapes from the bag, with replacement. Find the probability of choosing two squares. Write your answer as a fraction in simplest form.

Answers

Answer:

1/2 because that %50

Step-by-step explanation:

Answer:

1/35

Step-by-step explanation:

What additional information would you need to prove by the HL theorem?

Answers

Answer:

Answer: A   [tex]\overline{TM}\cong \overline{OR}[/tex]

Step-by-step explanation:

The HL Theorem states that if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent.

Triangles TRO and OMT share the hypotenuse, so the first part of the theorem is met.

Both triangles are right because they have an internal angle of 90°, so the second condition is also met.

Since there is no indication of any leg to be congruent to another leg, we need additional information to prove that both triangles are congruent.

One of these two conditions should be met:

Side TM is congruent to side OR, or

Side MO is congruent to side RT.

From the available options, only the first is correct.

Answer: A [tex]\mathbf{\overline{TM}\cong \overline{OR}}[/tex]

PLEASE HELP
3. The function E(v)= 15v^2 / 2 models the
kinetic energy E in joules of an object
with a mass of 15 kilograms, where v is
the velocity of the object in meters per
second. Write the inverse function v(E) to
find the velocity of a 15-kilogram object
with kinetic energy E.

Answers

Answer:

i think it is 15v (E) = √(2E/m)

Step-by-step explanation:

From the question given:

E = ½mv²

E is the kinetic energy

m is the mass of object

v is the velocity.

To find a model v(E) for the velocity of the object, we simply make V the subject of the above equation.

This can be obtained as follow:

E = ½mv²

Cross multiply

mv² = 2E

Divide both side by m

v² = 2E/m

Take the square root of both side

v = √(2E/m)

Therefore, the model v(E) for the velocity of the object is given by:

v (E) = √(2E/m)

The inverse function v(E) to find the velocity of a 15-kilogram object

with kinetic energy E should be [tex]15v (E) = \sqrt (2E/m)[/tex]

Calculation of the inverse relation:

Since we know that

[tex]E = 1\div 2mv^2[/tex]

Here,

E is the kinetic energy

m is the mass of object

v is the velocity.

Now we can write like

[tex]mv^2 = 2E[/tex]

So,

[tex]v^2 = 2E/m[/tex]

Now Take the square root of both side

So,

[tex]v = \sqrt (2E/m)\\\\v (E) = \sqrt (2E/m)[/tex]

Learn more about function here: https://brainly.com/question/24580305

Suppose your normal body temperature is 98 3/5 degrees Fahrenheit. If your body temperature goes up 3 1/5 degrees on Monday and then down 2 1/5 degrees on Tuesday, what is your temperature on Tuesday?

Answers

Answer:

can you help me if I help you plz

What is the value of x ?

Answers

Answer:

5 units

Step-by-step explanation:

BD is geometric mean ⇒ BD² = AD × DC

4x² = 10²  and x > 0

x² = 25  

x = 5 units

Help me please I will mark as brainliest!!

Answers

Answer:

A is answer

Step-by-step explanation:

Cuz once you solve it isn't a fraction any more

I think

What is 2 divided by 1/6?
1/12
2
6
12
ASAP pls

Answers

Answer:

[tex] \huge{ \boxed{ \bold{ \tt{12}}}}[/tex]

Step-by-step explanation:

[tex] \sf{2 \div \frac{1}{6}} [/tex]

We know that division by fraction is the inverse of multiplication. If any number or fraction is divided by a fraction , we multiply the dividend by the reciprocal of the divisor. Reciprocal of any number or fraction can be obtained by interchanging the position of numerator and denominator.

[tex] : \longrightarrow{ \: 2 \times \frac{6}{1} }[/tex]

Multiply

[tex] : \longrightarrow{ \boxed{ \bold{ \text{12}}}}[/tex]

And we're done!

Hope I helped!

Best regards! :D

~[tex] \text{TheAnimeGirl}[/tex]

Answer:

D. 12

Step-by-step explanation:

2 = 2/1

2/1 ÷ 1/6 =

2/1 × 6/1 =

12/1 = 12

Given thesinθ = 8/17 the ratio for cosine of θ is
. Enter your answer as a fraction.

Answers

Cos^2=1-sin^2
=1-64/289
225/289

Step-by-step explanation:

using Pythagoras theorem adjacent will be 15

so cos will be adjacent/hypotenuse

which is 15/17=0.882

Lisa has collected data to find that the number of pages per book on a book shelf has a normal distribution. What is the probability that a randomly selected book has less than 168 pages if the mean is 192 pages and the standard deviation is 24 pages? Use the empirical rule. Enter your answer as a percent rounded to two decimal places if necessary.

Answers

Answer:

The answer is "Thus a chosen random book has a 15.87% chance of fewer than 170 pages".

Step-by-step explanation:

[tex]Mean = 190\\\\\text{Standard devaition} \ \sigma= 20\\\\\to P(\bar{x}<70)\\\\Z = \frac{(170-190)}{20}[/tex]

   [tex]= \frac{-20}{20} \\\\=-1[/tex]

It found a p-value from its empirical rule:

[tex]\to P(\bar{x}<170) = 0.1587[/tex]

Add: - 9/10 + 3/14
Give your answer in reduced terms.​

Answers

Answer:

-24/35

Step-by-step explanation:

Find common denominators

140 is one

So, -126/140 + 30/140

This would be -96/140

Simplify

-48/70

Simplify some more

-24/35

Hope this helps :)

Please consider Brainliest :)

Answer:

-24/35

Step-by-step explanation:

Giving the fractions a common denominator:

-126/140 + 30/140

Adding:

-96/140

Dividing the numerator and denominator by 4:

-24/35

$9000 was borrowed from two sources, one that charges 20% simple interest and the other that charges 5% simple interest. If the total interest at the end of 1 year was $1500, how much money was borrowed from each source?

Answers

Answer:

The amount borrowed at 20% simple interest was $7,000, while the amount borrowed at 5% simple interest was $2,000.

Step-by-step explanation:

Let x represents the amount borrowed at 20% simple interest.

Let y represents the amount borrowed at 5% simple interest.

Therefore, the amount borrowed at 5% simple interest will be:

y = 9000 - x ........................... (1)

As a result, we will have:

20%x =  interest at the end of 1 year from the amount borrowed at 20% simple interest

5% * (9000 - x) = 450 - 5%x = interest at the end of 1 year from the amount borrowed at 5% simple interest

Since the total interest at the end of 1 year was $1500, we have:

20%x + 450 - 5%x = 1500

We can now solve for x as follows:

20%x - 5%x = 1500 - 450

15%x = 1050

x = 1050 / 15%

x = 7000

Substituting x = 7000 into equation (1), we have:

y = 9000 - 7000

y = 2000

Therefore, the amount borrowed at 20% simple interest was $7,000, while the amount borrowed at 5% simple interest was $2,000.

According to the fundamental theorem of algebra, how many zeros does the function f(x) = 4x3 − x2 − 2x + 1 have?

Answers

Answer:

3 zeros

Step-by-step explanation:

The fundamental theorem of algebra states that any polynomial with degree m>0  and complex coefficients has at least one complex root. Corollary of fundamental theorem states that for any polynomial with degree m>0 has exactly m solutions.

The given function is   4x^3-x^2-2x+1

Because it is a polynomial function with degree 3>0 , Therefore by corollary of fundamental theorem of algebra , it has 3 zeroes.

Answer:

Step-by-step explanation:

4x3 − x2 − 2x + 1

I show one zero. X= - 0.78769256

Can someone help me with these three math problems pleaseeeeeeeeeee

Answers

1. 75
2. 63
3. i have no clue

all triangles should add up to 180, so if you add the numbers up that you have you take ur answer and subtract 180 to get what the missing angle equals! sorry hope that helps a little lol

Answer:

75 should be the answer

PLS HELP ME WITH THIS WHOEVER ANSWERS FIRST AND/OR THE BEST I WILL GIVE YOU BRAINLIEST WORTH 40 POINTS!!!!!!!!

Answers

Answer:

Sorry Its too small

Step-by-step explanation:

The sum of two positive numbers is 37, and their difference is 7. If x and y represent the unknown numbers, which two
equations belong to the system of equations that represents this situation?

Answers

Answer:

C & D. check the image just in case the order changes

Step-by-step explanation:

A system of equations is x + y =37 and x - y = 7 the positive numbers are 22 and 15.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

The sum of the two positive numbers is 37, and their difference is 7.

Let x and y be the numbers:

x > 0 and y > 0

x + y =37

x - y = 7

The above two equations represent the situation where the sum of two positive numbers is 37, and their difference is 7.

After solving the above equation by elimination method:

2x = 44

x = 22

22 - y = 7

y = 22 - 7

y = 15

Thus, a system of equations is x + y =37 and x - y = 7 the positive numbers are 22 and 15.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ5

y=_x+_ what would be the answer​

Answers

Answer:

y = -1/4x + 2

Step-by-step explanation:

slope = rise over run

-1 rise for 4 run

y intercept = 2

y = -1/4x + 2

Before the election, you want to determine the number of possible president/vice-president combinations for the honor society you belong to. If both positions are chosen from ten people, how many combinations are possible?

Answers

90. For the first position,you can have one of 10 ppl in president/vice president. Then the remaining 9 ppl can be put in the remaining position. 10 * 9 = 90. If you need more explantion check these keywords. Factorial, permutations, combinations.

Does anyone know the answer to this question?
3x+6= -3(2x+4)

Answers

Answer:

x + -2

Step-by-step explanation:

(editing answer to add how i got it)

3x +6=-3 (2x +4)

-3 (2x +4)

Multiply using the distributive property.

− 6 x − 12 /2

3(2)(-3x - 4)

divide these by 2 will get you

SO ITS 3(2) +6 = 3(2) (2x +4)

Answer:

-2

Step-by-step explanation:

the sale of sneakers increased 150% from last year last year the company sold 1,250 sneakers how many sneakers were sold this year?

A) 625
B) 1,312
C) 1,875

Answers

Answer:

Step-by-step explanation:

150% is equivalent to 1.5 so the answer is:

1250 * 1.5

= 1875.

Answer:

1875

Step-by-step explanation:

7. In the drawing below, identify the following. (This is NOT multiple choice!)
A) Alternate Interior Angles
B) Alternate Exterior Angles
C) Consecutive Interior Angles
D) Corresponding Angles

Answers

I think answer should be d. Please give me brainlest I hope this helps let me know if it’s correct or not okay thanks

Jquan rides his bike at the rate of 16 m in eight minutes how long does it take him to travel per meter

Answers

Answer:

.5 of a minute

Step-by-step explanation:

2. A shop owner raises the price of a $100 pair of shoes by 50%. After a few weeks,
because of falling sales, the owner reduces the price of the shoes by 50%. A
customer then says that the shoes are back at the original price.
a. What is the mistaken assumption here?
b. Why is that assumption incorrect?
c. What do the shoes actually cost now?
d. By what percent should the shoes be decreased in order to have the price
back at $100?
Kk

Answers

Answer:

the customer is wrong

Step-by-step explanation:

when he raised then 50 % they became $150 and then If you do the work 50% of $150 is $75 .

100+%50

150

150-%50

75

The customer is wrong because the new price of the shoe is $75 and not $100.

When the shop owner raises the price of a $100 pair of shoes by 50%, then the new price will be:

= $100 + (50% × $100)

= $100 + $50

= $150

Then, the owner reduces the price by 50%, then the new price will be:

= $150 - (50% × $150)

= $150 - $75

= $75

Therefore, the new price is $75.

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https://brainly.com/question/19539439

HELP PLSSSSSSSSSSSS!!!!!!!!!!!!!!


Several pennies are placed along a meter stick and the position in centimeters of each penny is recorded. The mean position is the 50-centimeter mark and the MAD is 10 centimeters. What information does this tell you about the position of the pennies along the meter stick?


I NEED ANSWER FAST!!!!!!!!!!!!!!!!!!! DONT WASTE TIME IF YOU DONT KNOW WHAT IT IS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

60

Step-by-step explanation:

What is the value of x 3x 2x 55

Answers

Answer:

25

Step-by-step explanation:

3x+2x+55=180

5x+55=180

5x=180-55

5x=125

X=125/5

X=25

So the value of X is 25

Of the 100 oil paintings at the museum, 28 were portraits. What percentage of the oil paintings on display were portraits?

Answers

Answer:

28/100 * 100

the answer is 28 %

Directions. Answer the question about rate, ratios, and proportions.
What value will make this an esu valent ratio?
37 and
21

Answers

Answer:

37

Step-by-step explanation:

37

A university​ president's salary for the​ 2012-2013 academic year was ​$490,000. Calculate his​ 2013-2014 salary if he received a 2.7% raise

Answers

Answer:

His 2013-2014 salary will be $503,230

Step-by-step explanation:

His new salary will be

490,000 + 2.7% of 490,000

= 490,000 + (2.7/100 * 490,000)

= 490,000 + 13,230

= $503,230

Can someone help me with this?

Answers

Answer: 121

Step-by-step explanation:

11 x 11 is 121 so same number of rows and columns

Answer:

1260=(2-n)180

1260=360-180n

1260_360=-180n

900= -180n

n=900/-180

n= -5

n=

900/-180

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