Which of the following graphs could be the graph of the function f(x)=0.003x^2(x^2-25)?

Answer:

307.916cm^3

Step-by-step explanation:

[tex]volume \: of \: a \: cone \: = \frac{1}{3}\pi \: r {}^{2} h \\ v = \frac{1}{3} \times 3.142 \times 3.5 {}^{2} \times 24 = 307.916cm {}^{3} [/tex]

Answer:

Slope is 3.

Step-by-step explanation:

Slope formula

[tex]m = \frac{\text{rise}}{\text{run}} = \frac{\text{change in y}}{\text{change in x}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

m ... slope

Two points on the line are (x1, y1) and (x2, y2).

Now let's insert the coordinates of points (6,9) and (4,3) in the slope formula.

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}\\\\m = \frac{9 - 3}{6 - 4}\\\\m = \frac{6}{2}\\\\m = 3[/tex]

You could also do [tex]m = \frac{3-9}{4-6}[/tex] and would get the same result.

Put u=17

Answer:

59.5.

Step-by-step explanation:

h = 3.5u

When u = 17,

h = 3.5*17

= 59.5

Answer:

B

Step-by-step explanation:

You are going to add 9 to 27 because you are counting by nines on the bottom.

Take two points

Slope

Parallel lines so slopes are equal

Only y intercept will vary

So both lines have y intercept at -3 and -1 respectively

The equations

Put (0,0) on first one

On second one

So as lines are dashed symbols remain >

The inequalities are

→ The formula to convert a fraction to a decimal is ( "a ÷ b" ) .

→ where ( a ) is the NUMERATOR and ( b ) is the DENOMINATOR of the fraction .

The fraction to decimal formula states that:

• you just need to divide the numerator by denominator to get the decimal equivalent of the fraction ..

• convert 25/100 to decimal ?

→ Just divide 25 by 100 = 0.25

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Step-by-step explanation:

to convert a fraction to decimal ,well just divide numerator ....by the denominator

we 'll divide 1 by 4.1 divided by 4 equal to zero to keep dividing we ' ll add a decimal point and a zero after 1.

Answer:

The mean of the data is 70

Step-by-step explanation:

Hope this helps you! :D

Answer:

70

Step-by-step explanation:

Mean-

Add all the numbers to the total = 350

Divide by the amount of numbers (125, 15, 30, 110,70 = 5 numbers)

350/5 = 70

Answer:

sorry but I do know that it is A or B hope this helps.

The rate of change of the given simple index over 1 day is -0.9%.

When something has a constant rate of change, one quantity changes in relation to the other.

Given that;

Stock A opens on Monday with 10000 shares at $5.50 per share.

Stock B opens on Monday with 8000 shares at $6.25 per share.

Stock A opens on Tuesday at $5.80 per share, and stock B opens on Tuesday at $6.65 per share.

Total value of the simple index at Monday is;

= (10000×5.50) + (8000×6.25)

= 55,000 + 50,000

= 105,000

The total value of the simple index at Tuesday is;

= (10000×5.80) + (8000×6.65)

= 58,000 + 53,200

= 111,200

The rate of change of this simple index over 1 day is;

= (111,200-105,000)/(10000-8000) -1

= 6,200/2000 - 1

= 3.1 - 1

= 2.1

Hence, the rate of change of the given simple index over 1 day is -0.9%.

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We will see that there are 284.2 kilograms of helium inside the ballon.

In this problem, we know the volume of helium and the density of helium.

Remember that:

density = mass/volume.

Then we can write:

mass = density*volume.

Replacing the two in the right, we get:

mass = (1,592 m³)*( 0.1785 kg/m³) = 284.2kg

Then we can conclude that there are 284.2 kilograms of helium in the ballon.

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Answer:

10

Step-by-step explanation:

Answer:

5 given as -1 and 8 positive 8 cross by axis

Answer:  [tex]y = 850(0.943)^t[/tex]

Reason:

The exponential of the form [tex]y = a*b^x[/tex] has 'a' as the initial term and b as the growth or decay factor.

a = 850 is the starting amount

b = 1 + r = 1 + (-0.057) = 0.943 is the decay factor

If the sample loses 5.7% of its mass each year, then it keeps the remaining 94.3% of it.

Step-by-step explanation:

it seams like this question is wrong

Answer:

12.025

Step-by-step explanation:

h=v/(π*r square)

divide the volume of a cylinder by the amount of the radius squared multiplied by π(pi)

340÷(π×3square)

giving you 12.025

(original in calculator=12.02504014)

but it is 12.025

The domain of the given relation will be { - 1,2,3,4}.

The domain of the function is defined as the set of all the possible values of the function.

So here we have the ordered pairs given as:-

{ (-1,- 6), (2, - 6), (3,5), (4,0), (4,7)}

Here the possible values for the input of the functions are { - 1,2,3,4}.

Therefore the domain of the given relation will be { - 1,2,3,4}.

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When Digitalis knows that it'll sell many of the processors, it's expected to make money since there's a higher probability that it's not defective.

Since the processor is sold for $3300 and a profit of $429 is made, the selling price will be:

= $3300 - $429

= $2871

In this case, there's a 13% chance that it's defective and 87% that's it's not defective. Therefore, it's expected to make money since there's a higher probability that it's not defective.

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Answer:

i think that it is 6

Step-by-step explanation:

hope this helps

Please give me Brainlist

Answer:

B) [tex]f(x)=-3(x+1)^2+2[/tex]

Step-by-step explanation:

Notice that the graph of the parabola opens downward. This tells us that the leading coefficient of the function must be negative. Hence, we can rule out answers A and D.

Also, notice that our vertex is [tex](h,k)\rightarrow(-1,2)[/tex], which when we plug into vertex form, we get [tex]y=a(x-h)^2+k\rightarrow y=a(x-(-1))^2+2\rightarrow y=a(x+1)^2+2[/tex].

This means that B is the correct function that represents the graph.

Answer:

15.7 lbs (please mark brainliest)

Step-by-step explanation:

2.6+x+x=34

2x=31.4

x=15.7

Answer: 14.4

Step-by-step explanation: I took 34 and divided it by 2 then subtracted 2.6 from 17 which gave me 14.4. If it's wrong, sorry.

Answer:

√645^3=16,380.9. Mathematically correct

Answer :

[tex]\boxed{D) \sqrt{119} \: cm}[/tex]

Solution :

In the above figure, the line that is drawn from the centre of the given circle to the targent PQ is perpendicular to PQ.

And So, OP ⊥ PQ

Using Pythagoras theorem in triangle ΔOPQ we get ,

[tex]\Longrightarrow\: OQ^2 = OP^2 + PQ^2[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

[tex]\Longrightarrow\: (12)^2 = 5^2+PQ^2[/tex]

[tex]\: \: \: \: \: \: \: \: \: \: \: \: [/tex]

[tex]\Longrightarrow\: PQ^2 = 144-25[/tex]

[tex]\: \: \: \: \: \: \: \: \: \: \: \: [/tex]

[tex]\Longrightarrow\: PQ^2 = 119[/tex]

[tex]\: \: \: \: \: \: \: \: \: \: \: \: [/tex]

[tex]\Longrightarrow\: PQ = \sqrt{119} [/tex]

[tex]\: \: \: \: \: \: \: \: \: \: \: \: [/tex]

So, option D) √119 cm is the length of PQ.

Answer:

62

Step-by-step explanation:

all you do for this is take 496 and divide it by 8, which gives you 62, if you still need help explain I can reply with a step by step of showing how to divide

Answer:

The first step that we are going to do is to solve the area of the top rectangle.  We are given a width of 15 cm and a length of 25 cm so we can just multiply them against each other to get the area.

[tex]Area = l * w[/tex]

[tex]Area = 25\ cm * 15\ cm[/tex]

[tex]Area = 375\ cm^2[/tex]

The second side that we are going to solve for is the bottom rectangle.  We are given a width of 12 cm and a length of 25 cm so lets just multiply them against each other to get the area.

[tex]Area = l * w[/tex]

[tex]Area = 25\ cm * 12\ cm[/tex]

[tex]Area = 300\ cm^2[/tex]

The next area that we are going to determine is the back rectangle which has a width of 9 cm and a length of 25 cm so lets just multiply them against each other to get the area.

[tex]Area = l * w[/tex]

[tex]Area = 25\ cm * 9\ cm[/tex]

[tex]Area = 225\ cm^2[/tex]

The final area that we have to determine are the side triangles.  After determining the area of one triangle we will have to multiply it by 2 to get the area for both of the triangles.  We are given a base of 12 cm and a height of 9 cm so lets just use the formula to find the area.

[tex]Area = \frac{1}{2}* b*h[/tex]

[tex]Area = \frac{1}{2}* 12\ cm*9\ cm[/tex]

[tex]Area = 54\ cm^2[/tex]

Multiply it by two to get the area for both of the triangles.

[tex]Area = 54\ cm^2 * 2[/tex]

[tex]Area = 108\ cm^2[/tex]

Finally, we are onto the last part which is to add up all of the areas and get the surface area after we combine everything.

[tex]Area_{total}=375\ cm^2 + 300\ cm^2 + 225\ cm^2 + 108\ cm^2[/tex]

[tex]Area_{total}=1008\ cm^2[/tex]

Therefore, our final answer is option B, 1008 [tex]cm^2[/tex]

Hope this helps!

Answer: 64 m^3

Step-by-step explanation:

V=1/3*a^2*h

V = 1/3*64*3

V=64 m^3

Answer:

64 m³

Step-by-step explanation:

Formula

[tex]\textsf{Volume of a square based pyramid}=\dfrac{1}{3}a^2h[/tex]

where:

Given:

Substituting the given values into the formula:

[tex]\begin{aligned}\implies \textsf{Volume}& =\dfrac{1}{3} \cdot 8^2 \cdot 3\\\\& = \dfrac{3}{3} \cdot 64\\\\& = 1 \cdot 64\\\\& = 64\:\sf m^3\end{aligned}[/tex]

Answer:

a

Step-by-step explanation:

Since the customers can choose among 5 drinks, 4 main dishes, and 5 sides. there 100 different combo meals are possible.

Since order is not important we use combination to solve the problem

This is the number of ways in which x objects can be selected out of n objects. It is given mathematically as ⁿCₓ = n!/x!(n - x)!

Now, given that the customer can choose among 5 drinks, 4 main dishes, and 5 sides.

There are ⁵C₁ ways of choosing the drinks.

So, ⁵C₁ = 5!/1!(5 - 1)!

= 5!/1!/4!

= 5

There are ⁴C₁ ways of choosing the main dishes.

So, ⁴C₁ = 4!/1!(4 - 1)!

= 4!/1!/3!

= 4

There are ⁵C₁ ways of choosing the sides.

So, ⁵C₁ = 5!/1!(5 - 1)!

= 5!/1!/4!

= 5

So, total number of ways of choosing the combo meals is

⁵C₁ × ⁴C₁ × ⁵C₁ = 5 × 4 × 5

= 100 ways.

So, there 100 different combo meals are possible.

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Answer: The answer is 100

Step-by-step explanation: