Part 3. Identify the X intercepts for

y = (x+4)^2-9​

Answer:

3/4

Step-by-step explanation:

Let the unknown number be x.

Subtract 1/2 from the unknown number: x - 1/2

Multiply the result by 1/2: 1/2(x - 1/2)

You get 1/8: 1/2(x - 1/2) = 1/8

Now we solve the equation for x.

1/2(x - 1/2) = 1/8

Multiply both sides by 2.

2 * 1/2(x - 1/2) = 2 * 1/8

x - 1/2 = 1/4

Multiply both sides by 4

4x - 4 * 1/2 = 4 * 1/4

4x - 2 = 1

Add 2 to both sides.

4x = 3

Divide both sides by 4.

x = 3/4

Answer: The number is 3/4.

Well, we would find the volume of both the cylinder and the cone.

The formula to find the volume of a cylinder is V =  \pi  r^{2} h.

The formula to find the volume of a cone is V =  \frac{1}{3}  \pi  r^{2} h.

Now, when using pi (the symbol  \pi ), if the problem asks to use the approximate value of pi as 3.14, we'll use 3.14 to represent pi. If the problem asks for the exact answer, then we'll just put the pi sign next to our final answer we've gotten.

We can do both ways to solve with pi. Tho let's solve using the approximate value of pi.

One more thing. When there's an exponent in the problem, (such as  r^{2}  in the problem), that just means you would multiply the base, (which is r in  r^{2} ), by itself the number of times the exponent, (which is the number 2 in  r^{2} ), shows. For example, if it was  3^{2} , that would just mean we would multiply 3 times itself twice. So  3^{2}  would be the same as 3 times 3, which is 9. When you deal with variables in a problem, (the letters used to represent a value in the equation, such as a, b, c, d, etc.), they're solved in multiple ways. If a number is next to a variable, (for example, 3b), it would mean you are supposed to multiply the number times the variable. If a number is next to parenthesis, that would mean you would multiply the number times the answer from the parenthesis. In formulas, when all the letters and numbers are squished together in one line, that means you would multiply all of them times each other after they're individually solved. In this problem, r = radius and h = height.

So without further-a-do, let's begin! :)

So the question says that the radius of the cylinder is 10 centimeters, and the height is 20 centimeters. According to the formula given above, we would multiply the radius times itself twice, which would be 10 times 10, which equals 100, then multiply it by the height which is 20, so 100 times 20 = 2,000. If we were to find the exact volume, it would be 2,000 with the pi sign next to it, which would be 2,000 \pi . Though, let's find the volume with the approximate value of pi, 3.14. So 2,000 times 3.14 is 6280. The exact volume of the cylinder is 2,000 \pi and the approximate volume is 6280.

Now after we find the volume of the cone, we would need to find out how many times we'd need to use the cone to fill up the cylinder's volume.

To find the volume of the cone, we would do the same as last time. Since the cone's radius is 5 centimeters, and its height is 10 centimeters, we would first multiply the radius times itself twice, which would be 5 times 5, which is 25, then multiply that by the height, which would be 25 times 10, which is 250. The fraction part of the formula means this- the numerator "1" means you would multiply what you have so far times 1, and the denominator "3" means you will divide what you have so far NOW by 3. So 250 times 1 = 250, and 250 divided by 3 = 83.3333333333, though we'd say that answer up to the hundredths place, which would be 83.33. If you need the exact answer, we'd put the pi sign next to it as 83.33 \pi , and you're done.Tho we didn't find the approximate volume of the cone.So we'd trace back to what answer we had before moving on to the step with the fraction  \frac{1}{3} . Since we were on 250, we'd multiply that by 3.14, which is 785, and continue with what we did with the fraction. 785 times 1 = 785, and 785 divided by 3 = 261.666666667, and saying the answer up to the hundredths place, the approximate volume of the cone would be 261.66

Now since we know the volume of the cylinder, exact = 2,000 \pi  and approximate volume = 6280, this means this is how much of the cylinder should be filled when we use the cone to pour in the water.

We could easily determine this by division.

Finding with the exact volume, you would do 2,000 (from cylinder's volume) divided by 83.33 (from cone's volume), which is 24.0009600384, and since it's not a whole answer, you would move it up a whole number. Why you may ask? Well you can't pour 0.0009600384 of a cone's volume into the cylinder now can you? :P  So it would take 25 times of pouring the cone filled with water into the cylinder in order for the cylinder to be full using the exact volumes of both objects.

Now finding with the approximate volumes of both objects, we'd do the same we did last time. The cylinder's volume divided by the cone's volume, which is 6280 divided by 261.66, would be 24.0006114805, and saying the answer up to the hundredths place, 24.00, but for the same reason as the last one when we were using the exact volumes, we'd round 24 up a whole number, so it would approximately take 25 times to fill the cylinder with the cone.

Either way, using exact or approximate volumes, your final answer would be 25 times. =DI hope I helped! ^-^

By calculating the volume of cone and cylinder, we find that one need to 24 times use the completely filled cone to completely fill the cylinder with water.

The volume of cylinder is equal to the product of the area of the circular base and the height of the cylinder.

The volume of cone will be equal to one-third of the product of the area of the base and its height.

For a cylinder, the formula is πr²h. For a cone it is 1⁄3πr²h.

Volume of cylinder = π[tex]r^{2}[/tex]h =  π * 10* 10 * 20 = 2000π

Volume of cone =  [tex]\frac{1}{3}[/tex]*π[tex]r^{2}[/tex]h = 1/3 *  π * 5 * 5 * 10 = 250 π/3

Number of times one needs to use the completely filled cone to completely fill the cylinder with water =

= Volume of cylinder/Volume of cone

= 2000π / (250π/3) = 24

Learn more about volume of cone and cylinder here

https://brainly.com/question/16007458

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Answer:12-9=3

Step-by-step explanation: I mean like the grandma house is 12 mile from your house and the Aunt is 9 mil from your house so th numbe sentence would be 12-9

Answer:

The slope is the rise over run, so...

It  is 3/1 or just 3.

Step-by-step explanation:

Rise/run is slope

(2,1) is a point on the line, and so is (3,4)

Answer:

The distance is 8 miles.

Step-by-step explanation:

First, we need to write an equation for each of chauffeured car services.

The first one = 28 + 2x = ?

The second one = 13 + 5x = ?

Next, we need to figure out what x is. Usually I just plug in random numbers, but I'm sure there's a better way to do it.

I first plugged in 2 as x.

28 + 4 = 32

13 + 10 = 23

That didn't work, so I then plugged in 5.

28 + 10 = 38

13 + 25 = 38

So 5 would be the correct answer for what is the distance.

[tex]answer \\ = £59.25 \\ please \: see \: the \: attached \: picture \: for \: \\ full \: solution \\ hope \: it \: helps[/tex]

Answer:

n =3

Step-by-step explanation:

20 minutes to 1 hour can also be written as 20 minutes to 60 minutes.

when simplified, you get 1:3

Answer:

1:30

Step-by-step explanation:

minutes : hour
20           : 1
convert the hour into minutes
1 hr = 60 minds

20            : 60
it was simplified so that 20 = 1
so they did 20 divided by 20 to get it to equal to 1
1                 : _____
u need to equalise it and do the same to the other side so 60 divided by 20 as well ( this equals 30)
now the ratio is:
1                 : 30

Answer:

Option (A). OB

Step-by-step explanation:

Angle bisector of any angle is a line segment that divides the angle into two equal parts.

From the given picture,

m∠MOB ≅ m∠NOB

(25 + 35)° ≅ (28 + 32)°

60° ≅ 60°

Therefore, OB is the line segment that divides ∠MON into two equal angles. (∠MOB and ∠NOB)

Option (A). will be the answer.

Answer : The equivalent expression of the given expression is 1.

Step-by-step explanation :

According to the BODMAS rule, when the expression contains brackets open ((), {}, []) we have to first simplify the bracket followed by of (powers and roots etc.) and then we have to solve the division, multiplication, addition and subtraction from left to right order (respectively).

The given expression is:

(11²)⁴ ÷ 11⁸

First we have to solve bracket.

= (11)⁸ ÷ 11⁸

By dividing this expression, we get:

= 1

Therefore, the equivalent expression of the given expression is 1.

Answer:

y = 3x

where y is the plant height in cm and x is the time in months

at 12 months, height would be 36 cm

Step-by-step explanation:

Here, we want to model the data

let’s call the months x and the height y

What do you notice?

we can clearly see that the height is always 3 times the month

3 * 3 = 9

5 * 3 = 15

7 * 3 = 21

9 * 3 = 27

so we can say that;

Time in months * 3 = Plant height in cm

using the x and y notation;

x * 3 = y

or simply y = 3x

Now the height at 12 months can be calculated by substituting the value of x for 12

y = 3 * 12 = 36 cm

Answer:

15.33cm

Step-by-step explanation:

when you try to draw out this figure, satisfying the fact that Ad and Ac are both straight lines. you find the ultimately  it forms a right-angled triangle with sides AC and AD and hypotenuse CD.

Now, you may use Pythagoras theorem to solve:

AC^2 + AD^2 = CD^2

12.3^2 + 9.15^2 = CD^2

CD^2 = 235.0125

CD = square root of 235.0125 = 15.33cm

Hope this helps

Answer:

2125

Step-by-step explanation:

of means multiply

85% * 2500

Change to decimal form

.85* 2500

2125

Answer:

b) 2 seconds

t=2 seconds will an object reach a height of 32 feet

Step-by-step explanation:

Explanation:-

Given  height  f =-16t+16t² ...(i)

Differentiating equation (i) with respective to 't'

[tex]\frac{df}{dt} = -16(t) +16(2t)[/tex]

Equating Zero

- 32 t + 16(2t) =0

 - 16 t = -32

        t = 2 seconds

Given height   f =-16t+16t²

                      f = - 16 (2) +16(4) = -32 +64= 32feet

Conclusion:-

t=2 seconds will an object reach a height of 32 feet

Answer:

[tex]y= 500(1+0.15)^x[/tex]

Step-by-step explanation:

This problem can be solved using concept of compound interest

In compound interest

if p is the principal amount

and r is the interest rate

then value of principal amount(A) after n years time is given by

A = p(1+r)^n

=>[tex]A = p(1+r)^n[/tex]

__________________________________

in the problem

in place of n we have x years

y is the amount which is the total amount after n years

p is the principal money deposited = $500

r = 15%

substituting these value in the formula for amount after n years we have

[tex]y= 500(1+15/100)^x\\y= 500(1+0.15)^x[/tex]

Thus, function modeling the situation is [tex]y= 500(1+0.15)^x[/tex]

Corrected Question

e(x)=840-52.5x

Let e(x) be the elevation, in meters, of a cable car from the ground, x minutes after it begins descending from the top of a hill. Since e(14) = ?, the elevation of the cable car will be meters from the ground minutes after it begins descending from the top of the hill.

Answer:

e(14) =105 meters

Elevation of the cable car 14 minutes after it begins descending from the top of the hill= 105 meters from the ground

Step-by-step explanation:

Given the elevation, e(x) in meters, of a cable car from the ground , x minutes after it begins descending from the top of a hill.

e(x)=840-52.5x

e(14)=840-52.5(14)

e(14)=840-735

e(14)=105 meters

Since e(14) =105 meters, the elevation of the cable car will be 105 meters from the ground 14 minutes after it begins descending from the top of the hill.

Answer:

Midpoint of the line segment = ( 0.5 ,-3.5) =

Step-by-step explanation:

Given the co-ordinates of two points are

(-2 , -5) and ( 3, -2)

Let    (x₁ , y₁) = ( -2 , -5)

        (x₂ , y₂) = ( 3 , -2 )

Midpoint of the line segment

                          =       [tex](\frac{x_{1} +y_{1} }{2}, \frac{x_{2}+ y_{2} }{2} )[/tex]

Midpoint of the line segment

                          =       [tex](\frac{-2 +3 }{2}, \frac{-5- 2 }{2} )[/tex]

Midpoint of the line segment = ( 0.5 ,-3.5)

Answer:

can you please give a correct question next time or please make the question clear for the answerer.

thank you

Answer:

[tex] \boxed{ \frac{ \sqrt[3]{ {x}^{11} } }{4} } [/tex]

Step-by-step explanation:

[tex] = > \frac{ {x}^{4} }{ \sqrt[3]{64x} } \\ \\ = > \frac{ {x}^{4} }{ {(64x)}^{ \frac{1}{3} } } \\ \\ = > \frac{ {x}^{4} }{ ({64}^{ \frac{1}{3} } )\times ({x}^{ \frac{1}{3} } )} \\ \\ = > \frac{ {x}^{4} }{ ({( {4}^{3} )}^{ \frac{1}{3} }) \times( {x}^{ \frac{1}{3} } )} \\ \\ = > \frac{ {x}^{4} }{ ({4}^{ \cancel{3} \times \frac{1}{ \cancel{3}} } ) \times( {x}^{ \frac{1}{3} } )} \\ \\ = > \frac{ {x}^{4} }{4 {x}^{ \frac{1}{3} } } \\ \\ = > \frac{ {x}^{4 - \frac{1}{3} } }{4} \\ \\ = > \frac{ {x}^{ \frac{12 - 1}{3} } }{4} \\ \\ = > \frac{ {x}^{ \frac{11}{3} } }{4} \\ \\ = > \frac{ \sqrt[3]{ {x}^{11} } }{4} [/tex]

Answer:

The numbers are closer to each other and the range will be smaller. The numbers will also be closer to the mean and median.

Step-by-step explanation:

Answer: $62100

Step-by-step explanation:

The following can be deduced from the information given in the question:

Credit balance = $54000

Total revenues = $72,200

Total expenses = $48,300

Dividends = $15,800

Closing entry= Credit balance + Total revenues - (Total expenses + Dividends)

= $54000 + $72,200 - ($48300 + $15800)

= $126200 - $64100

= $62100

Answer:

f(x)/g(x) = x - 6 + (2x+3)/(2x^2+5)

Quotient = x - 6

Remainder = (2x+3)/(2x^2+5)

Step-by-step explanation:

Getting x-6:

What number multiplies with 2x²+5 to get 2x³+...?

that number is x, so that's your first number. You multiply it with 2x²+5 and subtract it like how you would do divison by hand back in elementary school.

Now what number multiplies with 2x²+5 to get -12x²+ ...?

that number would be 6, so that's your second number. Multiply 2x²+5 with 6 and subtract it from -12x²+ ....

Now you have 2x+3. What number multiplies with 2x²+5 to get 2x+3? That number doesnt exist so 2x+3 is your remainder.

Answer:

I believe D

Step-by-step explanation:

If you multiplied -3 times 3 that would make -9

you can then add 9 + -9 and cross y off

Answer:

Si

Step-by-step explanatio:

Answer:

idk

Step-by-step explanation:

hi

Answer:

Box 1 is F and Box 2 is -62.1

Answer:

5/9( F -32) = -62.1

Step-by-step explanation:

5/9( F -32) = C

We have the Celsius temperature and want to find the Fahrenheit temperature

5/9( F -32) = -62.1

Answer:

The correct option is;

Deductive

Step-by-step explanation:

Deductive reasoning or logic is the basic reasoning process that begins with a premise, hypothesis or general statement that is taken as being correct or true and continues with the consideration of the likelihoods or possibilities to come to a conclusion which is logically certain

In deductive reasoning a top to down reasoning approach is applied to link a premise with a conclusion.

Answer:

4

Step-by-step explanation:

LJK is a special right triangle with angle measures of 90° 60° 30°

If the side length of hypotenuse is 8√2 the side length that sees 30° would be half of it so it's 4√2

LMJ is a special right triangle with angles 90° 45° 45° and if the side length of hypotenuse is 4√2 the the value of equal sides would be 4

Answer:

-1/9 (x+27)

Step-by-step explanation:

Divide the whole expression by -1/9.

-1/9x becomes x

-3 becomes + 27

Answer:

A solution to the system is (–1, –2).

One of the equations is y = x –1.

One of the equations is 3x + y = –5.

Step-by-step explanation:

Just took the assignment

Answer:

2, 4, and 5

Step-by-step explanation:

Got it right