Which graph represents the parabolic equation
(x − 2)2 = 12(y − 3)?

Well yes but this doesn't belong in math by the way.

Answer:

[tex]f(x)=(x+2)(x-5)(x-6)[/tex]

Step-by-step explanation:

we know that

If the zeros of the function are

x=-2, x=5 and x=6

then

The factors are

(x+2), (x-5) and (x-6)

therefore

The polynomial function in factored form is equal to

[tex]f(x)=(x+2)(x-5)(x-6)[/tex]

Answer: 19.9

Step-by-step explanation:

25 - 5.1 = 19.9

Answer:

19.9

Step-by-step explanation:

25-5.1

= 19.9

To make sure:

19.9+5.1

=25

I hope this help you.

Final answer:

a) The speed of the water at a point in the pipe with a radius of 0.210 m is 7.97 m/s. b) The radius of the pipe at a second point where the water speed is 2.80 m/s is approximately 0.209 m.

Explanation:

a) To find the speed of the water at a point in the pipe, we can use the equation Q = Av, where Q is the flow rate, A is the cross-sectional area of the pipe, and v is the velocity of the water. Given that the flow rate is 1.10 m³/s and the radius is 0.210 m, we can find the area using the formula A = πr². Substituting the values, we have A = 3.14(0.210)² = 0.138 m². Solving for v, we get v = Q / A = 1.10 / 0.138 = 7.97 m/s.

b) To find the radius of the pipe at a second point where the water speed is 2.80 m/s, we can use the equation v = Q / A. Rearranging the equation to solve for the radius, we have r = √(Q / (πv)). Substituting the values, we have r = √(1.10 / (π(2.80))) ≈ 0.209 m.

Answer:

I believe B. is the correct answer.

6y4z2 + 12y3z2 - 3y3z + 3y2z2

Step-by-step explanation:

Answer:

the answer is 6y4z2 + 12y3z2 - 3y3z + 3y2z2

Step-by-step explanation:

Answer:

x - 2

Step-by-step explanation:

Given expression,

[tex](x^2-4)\div (x+2)=x-2[/tex]

[tex]\frac{x^2-4}{x+2}=x-2[/tex]

Multplying both sides by x + 2 ( Division property of equality )

[tex]\frac{x^2-4}{x+2}\times (x+2)=(x-2)\times (x+2)[/tex]

[tex]x^2-4=(x-2)(x+2)[/tex]

[tex]\implies x^2-4=(x+2)(x-2)[/tex]  ( By commutative property )

Thus, SECOND OPTION is correct.

Answer:

X-2 is the correct answer! Edge 2020

Step-by-step explanation:

If [tex]B=\{0\}[/tex] then [tex]p(B)=\{0\}^{B[0]}=\boxed{1}[/tex].

Hope this helps.

Answer:

The third equation down is the one you want

Step-by-step explanation:

What you need for this is the point-slope form of a line:

[tex]y-y_{1} =m(x-x_{1} )[/tex]

where y1 is the y coordinate from our point and x1 is the x coordinate from our point.  m is the slope.  That m has to be positive, according to the instructions.  So the first equation and the last one are out, since those are both negative.

If we fit our point into the point-slope form, it looks like this:

[tex]y-(-8)=4(x-(4))[/tex]

which simplifies to

[tex]y+8=4(x-4)[/tex]

and that matches the third equation down.

Answer:

Option C. [tex]288\pi\ ft^{3}[/tex]

Step-by-step explanation:

we know that

The volume of a sphere is equal to

[tex]V=\frac{4}{3} \pi r^{3}[/tex]

we have

[tex]r=6\ ft[/tex]

substitute

[tex]V=\frac{4}{3} \pi (6)^{3}[/tex]

[tex]V=288\pi\ ft^{3}[/tex]

The volume of the sphere with a radius of 6 ft is 904.78 ft³.

The volume of a sphere can be calculated using the formula: V = (4/3)πR³. Given a radius of 6 ft, we can substitute this value into the formula to find the volume:

V = (4/3)π(6 ft)³

V = (4/3)π(216 ft³)

V = 904.78 ft³

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Answer:

6.25 gal

Step-by-step explanation:

Least amount of water used:  17.5 gal

Greatest amount used:            24.75 gal

Difference:  24.75 gal - 17.5 gal = 6.25 gal

The thirstiest dishwasher used 6.25 gal more than the thriftiest dishwasher.

Answer:

0.75

Step-by-step explanation:

friday, it is 4, saturday is 3.5, sunday is 3.25. 4-3.25 is 0.75.

A sphere with radius [tex]r[/tex] has surface area [tex]4\pi r^2[/tex]. Divide the radius by 6 and you get a surface area of [tex]4\pi\left(\dfrac r6\right)^2=\dfrac4{36}\pi r^2[/tex], so that the final surface area is divided by 36.

Answer:

30°

Step-by-step explanation:

In m KÔL, the angle is Ô and angle Ô is actually 30 degrees ;)

Answer:

m∠KOL = 30°

Step-by-step explanation:

It is given that mKL = 90and mMN = 30∘.

If two secants intersect in the exterior of a circle, then the measure of the angle formed is half the difference of the measures of its intercepted arcs. So,  

m∠KOL= 1/2(mKL− mMN)

Substitute the given values and simplify.

m∠KOL= 1/2 (90∘−30∘)

= 1/2(60∘)

= 30∘

Therefor, m∠KOL=30∘.

Answer: (0.18,0.26)

Step-by-step explanation: I just finished the test

Answer:

A es la respuesta a tu pregunta ue acabas de preguntar para que alguien la respondiera.

Answer:

#4

Step-by-step explanation:

Graph #4 is the correct one.  Multiplying x by 1/4 widens the original graph by a factor of 4.  That "-4" shifts the graph 4 units to the right.

Correct. It is only interested in the portion of the graph confined to this interval

Answer:

192,000

Step-by-step explanation:

480,000x.40 =  192,000 commission.

Answer:

480000 * 0.40 = $192,000

The total dollar amount of her commission last year is $192,000

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

logb √(41/97)

Square root can be written in exponent form:

logb (41/97)^½

Using log exponent rule:

½ logb (41/97)

Using log quotient rule:

½ (logb 41 - logb 97)

Answer:

C) very likely

Step-by-step explanation:

Out of the 20 balls inside of the bag, 18 of them are green.

That means you have a 18/20 or 90% chance of getting a green ball.

Therefore, the probability of drawing a green ball is [tex]90[/tex] % then the option (C) is correct i.e., very likely.

What is the probability?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Probability has been introduced in Maths to predict how likely events are to happen. The meaning of probability is basically the extent to which something is likely to happen.

Here given that,

A bag contains [tex]2[/tex] red balls and [tex]18[/tex] green balls. A ball is chosen at random from the bag.

So,the total balls are [tex]18+2=20[/tex]

Green balls are [tex]18[/tex].

So the probability is

[tex]\frac{18}{20}[/tex] ×[tex]100=90[/tex] %

Hence, the probability of drawing a green ball is [tex]90[/tex] % then the option (C) is correct i.e., very likely.

To know more about the simplification

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Part A:

We are given that E is 3 more than D. This means that to get the value of E, we will simply add 3 to the value of D

Therefore:

E = D + 3

Part B:

We are given that F is 5 less than D. This means that to get the value of F, we will simply subtract 5 from the value of D

Therefore:

F = D - 5

Part C:

To get the value of E-F, we will simply subtract the equation we obtained from part B from the equation we obtained from part A

Therefore:

E - F = (D+3) - (D-5)

E - F = D + 3 - D + 5

E - F = 8

Hope this helps :)

The expression for 'e' in terms of 'd' is e = d + 3. The expression for 'f' in terms of 'd' is f = d - 5. The difference between 'E' and 'F' is 8.

A) e = d + 3
To express 'e' in terms of 'd,' we can simply say that 'e' is equal to 'd' plus 3. This is because the question states that 'E is 3 more than D.'

B) f = d - 5
To express 'f' in terms of 'd,' we can say that 'f' is equal to 'd' minus 5. The question states that 'F is 5 less than D.'

C) E - F = (d + 3) - (d - 5) = d + 3 - d + 5 = 8
To find the difference between 'E' and 'F,' we can substitute the expressions we found for 'e' and 'f' into the equation. Simplifying the expression further, we have 'E - F = (d + 3) - (d - 5) = d + 3 - d + 5 = 8.'

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Hi good morning

So answer A. Ages of customers can be the answer

Answer B.Number of customers can be eliminated.

Answer C. Outside temperature can effect the what people want to drink, if its hot sports drink, If its cold Hot chocolate for everyone ! I depends on the temperature.

Answer D. Price of sports drink can be eliminated.

so, MY conclusion is that it could very well be the age group. ( Answer A)

I hope this helps. I am very sorry if it is wrong. At least I tried

Have a good day ^^

1. bar graph - Compares data that is in categories.

2. line graph - Shows change over time.

3. scatter plot - Used to see trends in data.

4. histogram - Shows frequency of data, using equal intervals with no space between the bars.

5. box-and-whisker plot - Organizes data into 4 groups of equal size, and is often used to compare two sets of data.

School is almost over, good luck!!

Answer:

Step-by-step explanation:

The constant of proportionality is simply the ratio expressed as a decimal.

So in the example, the constant of proportionality is 6.75 $ / 3 lb = 2.25 $/lb.

5^31-5^29

=5^29(5^2-1)

=5^29(25-1)

=5^29(24) ...a

100=5^2x4 ...b

Divide a by b

5^29(24) / 5^2 x 4

=5^27 x 6

This, 5^31-5^29 is divisible by 100.

Answer:

The trains will meet after 2.6 hours.

Step-by-step explanation:

Add up the distances traveled by the two trains:

distance1 = (100 mph)(t hours)

distance2 = (90 mph)(t hours)

Sum of distance1 and distance2 = 494 miles = (190 mph)(t hours)

Solving for t, we get   t = 494 miles / 190 mph  = 2.6 hours

The trains will meet after 2.6 hours.

It will take 2.60 hours for the two trains to meet.

To find out how long it will take for the two trains to meet, we can use the formula: time = distance / speed.

Since the trains are traveling towards each other, we can add their speeds together to get the effective speed: 100 mph + 90 mph = 190 mph.

Now we can plug in the values: time = 494 miles / 190 mph = 2.60 hours.

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Check the picture below.

make sure your calculator is in Degree mode.

Answer:

37.0

Step-by-step explanation:

You have a total of 3 triangles in one here.  Triangle ABC, triangle ABD, and triangle DBC.  If we can find out the length of side BD in triangle DBC that will help us later.  We have angle D and side DC and we are looking for the hypotenuse of that right triangle DBC.  The trig ratio that relates the side adjacent to the reference angle to the hypotenuse is the cosine:

[tex]cos(40)=\frac{20}{BD}[/tex]

Solving for BD:

[tex]BD=\frac{20}{cos(40)}[/tex]

That gives us that BD = 26.1

Now that we know that, we can move into the obtuse triangle that shares the side BD with the right triangle.  We have that angle BDC is 40 degrees, and since angle ADB is supplementary to angle BDC, then angle ADB measures 180 - 40 = 140.  So angle A is 30, angle ADB is 140, so that means that angle ABD is 10.  Because triangle ABD is obtuse and not right you cannot use Pythagorean's Theorem.  But you can use the Law of Sines.  Set it up like this:

[tex]\frac{sin(140)}{AB}=\frac{sin(10)}{10}[/tex]

Solve for side AB:

[tex]AB=\frac{10sin(140)}{sin(10)}[/tex]

In degree mode on your calculator you'll find that side AB is 37.0

Answer:

B. 84.46°

Step-by-step explanation:

Since the vectors are at right angles to one another, even a crude diagram will quickly show you that the direction of the sum is ...

30° + arctan(7/5) ≈ 84.4623° ≈ 84.46°

Answer:

tan(B)

Step-by-step explanation:

we know that

The tangent of an angle is equal to divide the opposite side to the angle by the adjacent side to the angle

In this problem

tan(B)=AC/AB

substitute

tan(B)=8/15

Answer:

tan(B)

Step-by-step explanation:

Correct

Here's a visual representation. The numbers are a little blurry though.

For this case we must write algebraically the following statement:

"The sum of p and q is equal to 24"

The sum of p and q is represented as:

[tex]p + q[/tex]

If the sum is equal to 24 we have:

[tex]p + q = 24[/tex]

If they tell us that [tex]q = 3[/tex], then the expression is:

[tex]p + 3 = 24[/tex]

Answer:

[tex]p + 3 = 24[/tex]