Write an equation in point-slope form of the line that passes through the given point and has the given slope. (12, 5); m = -3

The volume of the sphere that has a radius of 3 inches is: 113.1 in.³

Volume of a sphere is found using the formula, V = 4/3 πr³, where r is the radius of the sphere.

Given the following:

Plug in the values into V = 4/3 πr³:

Volume of the sphere = 4/3 (3.14)(3)³

Volume of the sphere = 113.1 in.³

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Answer:

The value of discriminant is -7.

Explanation:

The given equation is,

x^2+x+2=0x

2

+x+2=0

The standard form of the quadratic equation is,

ax^2+bx+c=0ax

2

+bx+c=0

By comparing the given equation with the standard equation we get,

a = 1, b = 1 and c = 2.

The Formula for discriminant is,

D=b^2-4acD=b

2

−4ac

Substitute a = 1, b = 1 and c = 2,

D=1^2-4(1)(2)D=1

2

−4(1)(2)

D=1-8D=1−8

D=-7D=−7

Therefore, the -7 is the value of the discriminant.

Step-by-step explanation:

# Jerry Don is here#

Answer:

-7

Step-by-step explanation:

took the test

[tex]\\ \rm\rightarrowtail 2x^2-9x+8=0[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{9\pm\sqrt{81-64}}{4}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{9\pm\sqrt{27}}{4}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{9\pm3\sqrt{3}}{4}[/tex]

Answer:

Midpoint is (1,4)

Answer:

the answer is B

Step-by-step explanation:

The elevation is a nonlinear function because it does not have a constant rate of change.

Answer:

B

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

divide 80 by 100 80/100= 0.8 then divide 32 by 0.8 to get 40%

Changing the subject of an equation involves solving for another variable in the equation

The equation of t is [tex]t=\frac{\sqrt{y_i-y_o}}{N}[/tex]

The equation is given as:

[tex]N=\sqrt[2]{\frac{y_i-y_o}{t^2}}[/tex]

Rewrite the equation as:

[tex]N=\sqrt{\frac{y_i-y_o}{t^2}}[/tex]

Evaluate the square root of t^2

[tex]N=\frac{\sqrt{y_i-y_o}}{t}[/tex]

Multiply both sides by t

[tex]Nt=\sqrt{y_i-y_o}[/tex]

Make t the subject, in the above equation

[tex]t=\frac{\sqrt{y_i-y_o}}{N}[/tex]

Hence, the equation of t is [tex]t=\frac{\sqrt{y_i-y_o}}{N}[/tex]

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Answer:

0.10

Step-by-step explanation:

If one meter is 100 centimeters and you're trying to find how much of a meter is in 10 centimeters all you need to do is divide the meter by 10, just like they did to get the amount of centimeters.

Check the picture below.

Answer: At least $91.91

Step-by-step explanation:

From the question, we are informed that to avoid a service​ fee, the checking account balance must be at least ​$500 at the end of each month.

Since the current balance is ​$525.17 and $117.08 has been spent, the balance will now be:

= $525.17 - $117.08

= $408.09

Since the checking account balance must be at least ​$500 at the end of each month and we currently have $408.09, this means that there will still be a need to add $91.91.

= $500 - $408.09

= $91.91

At least $91.91 must be added to avoid the fee.

Answer:

D, [tex]\frac{1}{2}x-3[/tex]

Step-by-step explanation:

Remember order of operations: parentheses first, then exponents, then multiplication/division, and finally addition/subtraction.

In this case, since there is no way to further simplify the parentheses, we can leave them be. But the negative sign in front of the parentheses is like multiplying it by -1. It needs to be distributed into the parentheses like so:

[tex]-(\frac{1}{4}x+5)=-\frac{1}{4}x-5[/tex]

We can now substitute that into the expression:

[tex]\frac{3}{4}x+2-\frac{1}{4}x-5[/tex]

From here, we can combine like terms:

[tex]\frac{2}{4}x-3[/tex]

And finally, we can simplify 2/4 to get:

[tex]\frac{1}{2}x-3[/tex]

Answer:

1) -100

2) Your laptop would lose value faster

3) Your laptop would lose value slower

4) Your laptop's value increases as time goes on

5) It is a horizontal line

6) the laptop's value doesn't change over time

7) A vertical line

Step-by-step explanation:

1) the slope of the line is -100. You can figure this out by doing rise/run

2) If the line were steeper, the laptop would lose more value each year, meaning that the laptop would lose it's value faster

3) If the line were less steep, the laptop would lose less value over each year, so it's value would decrease slower.

4) If the slope was positive, that means that the laptop would be gaining value as the time increases or goes by

5) A slope of zero has a rise over run of 0/something, meaning that the rise or change in y should be equal to zero. This can only occur in a horizontal line.

6) If the y-value doesn't change, that means that the value isn't changing as time goes by.

7) A line with an undefined slope has a rise over run of something/0 and it's undefined because anything divided by 0 is undefined. In this situation, the run, or change in x is 0, and this can only occur in a vertical line

Answer :

⠀

Step-by-step explanation:

⠀

[tex] {\longrightarrow \: \sf \: Let \: \: a : b\: = 3: 4 = \dfrac{a}{b} \: = \: \dfrac{3}{4} = k}[/tex]

⠀

Therefore,

⠀

[tex] \dashrightarrow \qquad \sf \: a = 3k[/tex]

[tex] \dashrightarrow \qquad \sf \: b = 4k[/tex]

⠀

Now, Substituting the values :

⠀

[tex]\longrightarrow \qquad \sf \: 15a+9b:16a+5b[/tex]

⠀

[tex]\longrightarrow \qquad \sf \: \dfrac{15(3k)+9(4k)}{16(3k)+5(4k)}[/tex]

⠀

[tex]\longrightarrow \qquad \sf \: \dfrac{45k+36k}{48k+20k}[/tex]

⠀

[tex]\longrightarrow \qquad \sf \: \dfrac{81k}{68k}[/tex]

⠀

[tex]\longrightarrow \qquad \sf \: \dfrac{81 \cancel{k}}{68 \cancel{k}}[/tex]

⠀

[tex]\longrightarrow \qquad \sf \: \dfrac{81}{68}[/tex]

⠀

[tex]\longrightarrow \qquad \bf \: {81} : {68}[/tex]

⠀

Therefore ,

⠀

[tex]{ \pmb{ \sf{\longrightarrow \qquad \: 15a+9b:16a+5b = 81 : 68}}}[/tex]

⠀

Answer:

The slope equals the rise divided by the run

Step-by-step explanation:

The slope is 2

Step-by-step explanation:

Gradient = rise/run

= 2/1

Hope this helps!

Answer:

m = 2

Step-by-step explanation:

(40, 10) and (50, 30)

20/10= 2

The answers to the Speed question are:

Speed is known to be the distance that is said to be traveled and it is per unit of time. It is seen as the rate of which an object is said to be moving.

Note that Speed is calculated in this case as 1/2mv².

Therefore, to calculate the variables are:

If the speed of the bottle is 2 m/s, then

= ½ (0.250) (2) ^2

= 0.5

If the speed of the bottle is 3 m/s, then

= ½ (0.250) (3) ^2              

=1.125

If the speed of the bottle is 4 m/s, then

= ½ (0.250) (4) ^2.              

= 2

If the the speed of the bottle is 5 m/s, then

= ½ (0.250) (5) ^2            

=  3.125

= ½ (0.250)(6)^2                

=4.5

Therefore, the answer given above are correct.

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#SP9

Answer:

0.5, 1, 2, 3, & 5

Step-by-step explanation:

did it on edgeinuity

Answer:

(-3, 3)

explanation:

if reflected over y axis, use the formula: (x,y) → (-x, y)

If translated vertically, there will be change in y axis

(-3, 5-2) → (-3, 3)

Answer:

-3,3

Step-by-step explanation:

I really dont know how to explain

Step-by-step explanation:

°c to °F = (°c × 9/5) + 32

= ( 37.2 × 9/5) + 32

= 66.96 + 32

= 98.96 °F

if this helped pls give brainliest

Answer:

3150

Step-by-step explanation:

principal =45000

compound interest =3.5%

Time =2years

then,

3.5/100*45000=1575

2years

1575*2=3150

Answer:    0.435 repeating

Step-by-step explanation:

Answer:

30,370 feet

Step-by-step explanation:

Given that,

Mt. Everest is a little over 29,000 feet above sea level, and the shore of the Dead Sea is about 1,370 feet below sea level.

We need to find the approximate difference in elevation between the two points.

29,000 feet is above sea level and 1,370 feet is below sea level i.e. both elevations are in opposite direction.

Difference = 29,000 - (-1,370 )

= 30,370 feet

Hence, the difference in elevation between the two points is 30,370 feet.

Answer:30,370 feet

Step-by-step explanation:

Answer:

X=9

Hope this helps! :)

Answer:

E

Step-by-step explanation:

[tex]cos30 = \frac{ \sqrt{3} }{2} [/tex]

Answer:

2x +6

Step-by-step explanation:

if you are given a question like this u will leave it like that because maybe the question is wrong

The value of h'(1) is -8

Given the following expression;

[tex]h (x) = 5 f(x) - 4g (x) + 3x^2 - 2[/tex]

Differentiating the function above:

[tex]h' (x) = 5 f'(x) - 4g' (x) + 6x[/tex]

Given the following parameters

[tex]f' (1) = 2\\g' (1) = 6[/tex]

Get h'(1)

[tex]h' (1) = 5 f'(1) - 4g' (1) + 6(1)\\h' (1)=5 (2) - 4(6) + 6(1)\\h' (1)= 10-24+6\\h' (1)=-8[/tex]

Hence the value of h'(1) is -8

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Step-by-step explanation:

Length, width and height are three dimensional objects.

I hope this will help you.

Answer:

The first four terms is: 390625, 625, 25, 5

Step-by-step explanation:

Given

[tex]f(n) = \sqrt{f(n-1)}[/tex]

To determine the first 4 terms.

We have

[tex]f(1) = 390625[/tex]

[tex]f(2) = \sqrt{f(2 - 1)}[/tex]

[tex]f(2) = \sqrt{f(1)}[/tex]

Substitute 390625 for f(1)

[tex]f(2) = \sqrt{390625}[/tex]

[tex]f(2) = 625[/tex]

For f(3), we have

[tex]f(3) = \sqrt{f(3-1)}[/tex]

[tex]f(3) = \sqrt{f(2)[/tex]

[tex]f(3) = \sqrt{625[/tex]

[tex]f(3) = 25[/tex]

For f(4), we have

[tex]f(4) = \sqrt{f(4-1)[/tex]

[tex]f(4) = \sqrt{f(3)[/tex]

[tex]f(4) = \sqrt{25[/tex]

[tex]f(4) = 5[/tex]

Hence, the first four terms is:

390625, 625, 25, 5