Jason needs to find the volume of the sphere shown below. Which formula should be used ?

Answer:

[tex]a)\ x_1=-3i,\ x_2 =3i[/tex]

[tex]b)\ x_1=-\sqrt{10},\ x_2=\sqrt{10}[/tex]

Step-by-step explanation:

Given equations:

[tex]a)\ x^2+19=10\\\\b)\ 4x^2+3=43[/tex]

A. x² + 19 = 10

Step 1: Subtract 19 from both sides.

[tex]\\\implies x^2+19-19=10-19\\\\\implies x^2=-9[/tex]

Imaginary number rule: For any positive real number "k", [tex]\sqrt{-k} = i\sqrt{k}[/tex]

Note: Two imaginary (complex) solutions indicate that the graph will not intersect the x-axis. As a result, it has no real roots.

Step 2: Take the square root of both sides (positive and negative roots).

[tex]\\\implies \sqrt{x^2}=\sqrt{-9}\\\\\implies x=\pm\ i\sqrt{9}\\\\\implies x=\pm\ 3i[/tex]

Step 3: Separate the solutions.

[tex]\implies x_1=-3i,\ x_2 =3i[/tex]

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B. 4x² + 3 = 43

Step 1: Subtract 43 from both sides.

[tex]\\\implies 4x^2++3-3=43-3\\\\\implies 4x^2=40[/tex]

Step 2: Divide both sides by 4.

[tex]\\\implies 4x^2=40\\\\\implies \dfrac{4x^2}4=\dfrac{40}{4}\\\\\implies x^2=10[/tex]

Step 3: Take the square root of both sides (positive and negative roots).

[tex]\\\implies \sqrt{x^2}=\sqrt{10}\\\\\implies x=\pm\ \sqrt{10}[/tex]

Step 4: Separate the solutions.

[tex]\implies x_1=-\sqrt{10},\ x_2=\sqrt{10}[/tex]

Answer:

m is less than A apparently

Step-by-step explanation:

Answer:

7/9 ÷ 5/6 = 42/45 as simplified as 14/15 in fraction form. 7/9 ÷ 5/6 = 0.9333 in decimal form.

Step-by-step explanation:

Answer:

14/15

Step-by-step explanation:

7/9 x 6/5 = 42/45 = 14/15

brainliest pls

Answer:

1. yes 2. no

Step-by-step explanation:

Hi there!

When x is equal to 5, 4x and 15+x have the same value because 4*5= 20 and 15+5 = 20.

4x and 15+x are not equivalent expressions because they cannot be simplified to create the same expression nor will they produce the same answer every time.

I hope this helps!

Answer:

pat is 62

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Hey there!

A rational number is a number that CAN be turned in to a fraction, like 0.5, or 9, 0r -[tex]3^2[/tex].

A rational number is a number that CANNOT be turned into a fraction, like pi, or √2.

Hope it helps and have a great dayyyyy!!!!!

Answer:

x ≤ - [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Given

3x + 14 ≤ 13 ( subtract 14 from both sides )

3x ≤ - 1 ( divide both sides by 3 )

x ≤ - [tex]\frac{1}{3}[/tex]

Answer:

Step-by-step explanation:

3x+14≤13

x

[tex]step - 1 \colon \: define[/tex]

[tex]3x + 14 \leqslant 13[/tex]

[tex]step - 2 \colon \: subtract[/tex]

[tex]3x + 14 - 14 \leqslant 13 - 14[/tex]

[tex]3x \leqslant - 1[/tex]

[tex]step - 3 \colon \: divide[/tex]

[tex] \frac{3}{3} x \leqslant - \frac{1}{3} [/tex]

[tex]x \leqslant - \frac{1}{ 3} [/tex]

Answer: The cost is 3.75

Step-by-step explanation: Since you wrote, 1 dozen eggs costs about 3.75, your question was, "What is the cost for 1 dozen eggs?" So the answer should be 3.75.

Answer:

constant of variation:  k = -24

y = 12 when x = -2

Step-by-step explanation:

y varies inversely with x equation is:  y = k/x

where 'k' if the constant of variation

plug in:

4 = k/-6

cross-multiply to get value of 'k' which is -24

plug in:

y = -24/-2

y = 12

Step-by-step explanation:

3-2(3x+1)=19

[tex]3 - 6x - 2 = 19 \\ 1 - 6x = 19 \\ - 6x = 19 - 1 \\ - 6x = 18 \\ x = - 3[/tex]

Answer:

not sure but i think its B

Answer:

true

Step-by-step explanation:

Answer: False

explanation:

Its proof is not difficult because it is based on the statement or theorem which has been already proved. For example the fundamental theorem of algebra and its corollary. Therefore, the statement "A corollary is a statement that can be proved using a theorem, but the proof is usually difficult." is false

Answer:

The answer is B.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

D

why must it be more than 20 characters???

Answer:

Axis of symmetry is 0

vertex is 1

Step-by-step explanation:

Answer:

she can buy the rose bush and 29 packets of seeds. So i think X= 29

Step-by-step explanation:

The answer is 20 Km/hr

first : you have miles . then change it into Km .

second: 45 min to sec

finally speed is the distance per unit time

Answer:

B.

Step-by-step explanation:

The sets {1, 2, 3}, {0}, {-4, -1, 0, 5, 10} only include integers which makes the statement true. Since they are all integers they are all subsets.

Answer {2.5, 3.5, 4.5} does not include integers so therefore it is not a subset making the statement false.

Answer:

-0.26 gallon

Step-by-step explanation:

-0.04x 6.5=0.26

Answer:

x=7

Step-by-step explanation:

22x-4=7x-4+105

cancel both 4 out

22x=7x+105

15x=105

x=7

Answer:

?????

Step-by-step explanation: check if you wrote the complete question.

Answer:

83 3/10

Step-by-step explanation:

multiple the numbers

Answer:

A

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just don’t want to waste my time in case you don’t want me to :)

Answer:

Option A

Step-by-step explanation:

Answer:

1.You draw the rectangle and label on one side 20m

2.Draw a diagonal line inside the rectangle an label the line as 29m

3.Extract the the newly formed right angled triangle.

4.Find the hypotenuse (a+b=c) of the right angle which will give you the value of the unknown side.

5.Calculate the perimeter which is;

P=S+S+S+S

P= 20m+9m+20m+9m

P=29m+29m

P=58m

Answer:

Inequality form

x > - 8

Step-by-step explanation:

hope this helps

Answer:

i think it's

x > - 8

Step-by-step explanation:

hope this helps :)

Answer:

i really dont even know

Step-by-step explanation:

Answer:

Sorry if it’s to late but the answer is 56:)

Step-by-step explanation:

Answer:

1,2,3 and 6 is the answer