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Which expression is equivalent to 9x5 +3x(4x4–3x2)

It took approximately 151 seconds to decrease 9 ft water in conical tank.

The volume of a conical tank with vertex down and radius 8 ft and height 20 ft is V = (1/3)πr²h

When the water is 9 ft deep

= (1/3) ×3.14×(8)²×(9)

= 602.88 ft³

We know that the rate of change of volume is 4 ft³/sec. So, the rate of change of depth can be calculated as follows:

Rate of change of depth (dh/dt) = Volume of tank/4 ft³ per sec

= 602.88/4

= 150.72 sec

Therefore, it took approximately 151 seconds to decrease 9 ft water in conical tank.

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The position vector of point P, MP, is given by MP = 6i - j.

To find the position vector of point P, which is the midpoint of NO, we can use the midpoint formula.

The midpoint formula states that the midpoint of a line segment with endpoints (x₁, y₁) and (x₂, y₂) is given by:

Midpoint (Mᵖ) = ((x₁ + x₂) / 2, (y₁ + y₂) / 2)

Let's find the position vector of point P using the given information:

Point N: N = 4i - 5j

Point O: O = 8i + 3j

Using the midpoint formula, we can find the coordinates of point P:

x-coordinate of P: (x₁ + x₂) / 2 = (4i + 8i) / 2 = 12i / 2 = 6i

y-coordinate of P: (y₁ + y₂) / 2 = (-5j + 3j) / 2 = -2j / 2 = -j

Therefore, the position vector of point P, MP, is given by:

MP = 6i - j

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Answer:

Loading..

Step-by-step explanation:

Answer:

I hope this will be helpful to you mark me as brainliest pls

Answer:

C

Step-by-step explanation:

- (\(\frac{28x+12}{8}\) ) < 6x - 30 ( multiply both sides by 8 to clear the fraction )

- (28x + 12) < 48x - 240 ← distribute parenthesis by - 1

- 28x - 12 < 48x - 240 ( subtract 48x from both sides )

- 76x - 12 < - 240 ( add 12 to both sides )

- 76x < - 228

divide both sides by - 76 reversing the symbol as a result of dividing by a negative quantity.

x > 3

Answer: (6,-6)

Step-by-step explanation:

To find the coordinates of point B, we can use the midpoint formula:

Midpoint formula: The midpoint M of a line segment with endpoints (x1, y1) and (x2, y2) is given by:

M = ((x1+x2)/2, (y1+y2)/2)

Here, we know that the midpoint M is (4, -2), and one endpoint A is (2, 2). Let B be the other endpoint, so we can use the midpoint formula to find B:

4 = (2+x2)/2 --> 8 = 2+x2 --> x2 = 6

-2 = (2+y2)/2 --> -4 = 2+y2 --> y2 = -6

Therefore, point B has coordinates (6, -6).

As for the second question, without a graph or information about the equation of line t and point P, it is not possible to determine which points lie on the line passing through P and perpendicular to t.

Answer:

Step-by-step explanation:

Given,

There are 8 seats in a row.

There are 8 seats in a row.4 seats are occupied.

Available seats = 8 - 4 = 4 seats

Fraction of seats available:

\( \frac{number \: of \: seats \: available}{total \: number \: of \: seats} \)

\( = \frac{4}{8} \)

Reduce the fraction with GCF 4

\( = \frac{1}{2} \)

Hope this helps..

Best regards!!

Answer:

Your correct answer is that there are 4 seats available. The fraction version is 1/2

Step-by-step explanation:

Since there are 8 in a row and 4 are taken, subtract 8 by 4.

8 - 4 = 4 seats that are available.

The function -

r{x} = {- 3x    x < 0}

r(x) = {√x      x ≥ 0}

is plotted and attached with the answer.

A piecewise function is a function that is defined on a sequence of intervals

Given is to plot the the piecewise function -

r{x} = {- 3x    x < 0}

r(x) = {√x      x ≥ 0}

We can plot the function in two separate domains. Refer to the graph attached.

Therefore, the function -

r{x} = {- 3x    x < 0}

r(x) = {√x      x ≥ 0}

is plotted and attached with the answer.

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Answer:

480ft

Step-by-step explanation:

1 mile= 5280ft

5280/11 = 480ft

480ft per minute

I hope this helps!

Answer:

9 Part-time employees

36 full-time employee

Step-by-step explanation:

20% multiply by 45 = 9

80% multioly by 45 =36

therefore to check if your answers are correct add 9 + 36 which gives you 45, the total number of employees in each company's four department.

Answer:

The company has 144 full-time employees and 36 part-time employees.

Step-by-step explanation:

The company has 144 full-time employees and 36 part-time employees because you have to do .20*45 to get 9 part-time employees per department. Then you can do 45-9 to get 36 full-time employees per department or you can do .8*45, either way is fine. Then you have to multiply 36 by 4 and 9 by 4 to get 144 full-time employees and 36 part-time employees.

Answer:

47.32

Step-by-step explanation:

Answer:

the first graph

y=-2/3x-1

Step-by-step explanation:

y-3=-2/3(x+6) .        

y-3=-2/3x+4

y=-2/3x-4+3

y=-2/3x-1

The volume of the cone if, The slant height is 5 cm, and the radius of the cone is 3 cm, is 37.68 cm³.

A 3D object's volume is the amount of actual space it occupies. It is a 2D shape's 3D equivalent of area. It is quantified in cubic units like cm³. By multiplying its length, height, and width, you may determine this.

Given:

The slant height, s = 5 cm, and the radius of the cone is 3 cm,

Calculate the height of the cone as shown below,

slant height² = height² + radius²

5² = h² + 3²

h² = 25 - 9

h = 4

Calculate the volume of the cone as shown below,

The volume of the cone = π × 3² × 4 / 3

The volume of the cone = 3.14 × 9 × 1.33

The volume of the cone = 37.68

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Answer:

-1/2

Step-by-step explanation:

Subtract 1 from both sides of the equation

Simplify

Multiply all terms by the same value to eliminate fraction denominators

simplify

divide both sides of the equation by the same term

simplify

Therefore, you get -1/2

Answer:

I believe x = -2.

Step-by-step explanation:

Answer:

Hence the answer is TRUE.

Step-by-step explanation:

If event A is taking 15 or more minutes to urge to figure tomorrow and event B is taking but a quarter-hour to urge to figure tomorrow, then events A and B must be complimentary events. this is often because the occurring of 1 is going to be precisely the opposite of the occurring of the opposite event and that they cannot occur simultaneously. In other words, events A and B are mutually exclusive and exhaustive.  

Mathematically,  

P(A) + P(B) = 1.

====================================================

Explanation

Consider three scenarios:

These scenarios cover all the possible cases of what x could be. It's either the min, the max, or somewhere in between the min and max.

--------------------

We'll start with scenario A.

If x is the min, then that must mean 39 is the max as it's the largest of the set {18, 36, 16, 39, 27, 8, 34}

The range is 56, so,

range = max - min

56 = 39 - x

56+x= 39

x = 39-56

x = -17  which is one possible answer

--------------------

If instead we go with scenario B, then x is the max and 8 is the min

range = max - min

56 = x - 8

56+8 = x

64 = x

x = 64 is the other possible answer

--------------------

Lastly, let's consider scenario C. If x is not the min or the max, then it's somewhere between the min 8 and max 39. in short, 8 < x < 39.

Note that range = max - min = 39-8 = 31 which is not the range of 56 that we want. So there's no way scenario C can be possible here.

Based on the given information, the second brand, Cola, is the more affordable option in terms of cost per milliliter compared to Co Fizz.

To determine which brand of cola is more expensive, we need to compare the cost per unit volume for each brand.

For the first brand, Co Fizz, a pack contains 4 bottles, and each bottle has a volume of 500 ml. The cost of the pack is $2.50. Therefore, the total volume in a pack is 4 * 500 ml = 2000 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2.50 / 2000 ml = $0.00125 per ml.

For the second brand, Cola, a pack contains 10 bottles, and each bottle has a volume of 330 ml. The cost of the pack is $2. Therefore, the total volume in a pack is 10 * 330 ml = 3300 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2 / 3300 ml ≈ $0.000606 per ml.

Comparing the two brands, we can see that the cost per milliliter for Co Fizz is $0.00125, while the cost per milliliter for Cola is approximately $0.000606.

Since the cost per milliliter for Co Fizz is higher than the cost per milliliter for Cola, it can be concluded that Co Fizz is more expensive in terms of price per unit volume.

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answer:

the degree measure would be 60°

60 + 60 + 60 = 180

therefore, 60 is the answer.

Answer:

To convert 050000 × 10380

Step-by-step explanation:

To convert 050000.0 into regular format, move the decimal point to the right 380 places. Why? Because that's what × 10380 means: multiply by a 1 with 380 zero(s) after it. And, with each zero in a multiplication, the decimal moves to the right 1 place.

3.805 x 10 to the 7th power

Answer:

7, 11, 15, 19, 23, 27, 31... and keep going until you have an answer.

Step-by-step explanation:

Just keep adding 4 until you have all the 48 terms you need.

The distinction between them is that an integer is a negative number without a decimal point.

All whole numbers and negative numbers are considered integers. This means if we include negative numbers together with whole numbers, we form a set of integers.

Positive, negative, and zero are all examples of integers.

The Latin word "integer" signifies "whole" or "intact."

As a result, fractions and decimals are not included in integers. In this article, let's learn more about integers, their definition, and their characteristics.

According to our question-

The group of integers that are neither whole nor a natural number are:

As previously noted, the third set of integers lacks a decimal point;

However, the difference between them is that; a negative number without a decimal point is referred to as an integer

From the provided set: only fit into the description of an integer, because

It does not have a decimal point

And that is unfavorable.

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Answer:

A and A that is the answer

SOLUTION

What all graphs of proportional relationships have in common is a straight line.

This line is straight, no curves or bends. This straight line passes through the origin at an intersection of

Hence, the answer is "A straight line that passes through the origin and goes at a constant rate".

Given equation to us is , \((m-3)r^2+9r-2=0\) .

The given equation is a quadratic equation and it has two real solutions if it's discriminant is greater than or equal to 0 .

For a quadratic equation in standard form of

\(ax ^{2} + bx + c = 0\)

the discriminant is given by b² - 4ac .

On comparing wrt to Standard form, we have ;

Now we have,

\(\longrightarrow b^2-4ac \geq 0\\\\\longrightarrow 9^2-4(m-3)(-2)\geq 0\\\\\longrightarrow 81 +8(m-3)\geq 0 \\\\\longrightarrow 81 +8m-24\geq 0 \\\\\longrightarrow 8m \geq 24-81 \\\\\longrightarrow 8m \geq -57 \\\\\longrightarrow \underline{\underline{ m \geq \dfrac{-57}{8}}}\)

Therefore for all values greater than or equal to -57/8 the equation will have a real solution .

And we are done!

The equation (m-3)r² + 9r -2 = 0 will have two real solution for the value of m, greater than or equal to -57/8.

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

The standard form of equation of power two is ax²+bx+c =0 .

The given equation,

(m-3)r² + 9r -2 = 0

Compare the given equation with standard equation ax²+bx+c =0,

The value of a=m-3, b=9 and c=-2

An equation has two real solutions if a discriminant of the equation is greater than or equal to zero.

⇒D ≥ 0

⇒b²-4ac ≥ 0

Substitute the value of a, b and c,

⇒9² - 4×(m-3)(-2) ≥ 0

⇒81 +8m - 24 ≥ 0

⇒8m ≥ -57

⇒ m ≥ -57/8

For the values of m greater than or equal to -57/8, the equation have two real solutions.

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Answer:

Domain: [1, 7]

Range: [-4, 2]

Step-by-step explanation:

The domain is the set of x-values and the range is the set of y-values.

flip 5/12 to be 12/5 to make this equation multiplication

3/8*12/5 = 36/40 = 18/20 = 9/10

The solution of expression is,

⇒ 9 / 10

We have to given that;

To Divide,

⇒ 3/8 ÷ 5/12

Now, We can divide the numbers as;

⇒ 3/8 ÷ 5/12

⇒ 3/8 × 12/5

⇒ 36 / 40

⇒ 18/20

⇒ 9 / 10

Thus, The solution of expression is,

⇒ 9 / 10

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This question is not complete, the complete question is;

Clarkson University surveyed alumni to learn more about what they think of Clarkson. One part of the survey asked respondents to indicate whether their overall experience at Clarkson fell short of expectations, met expectations, or surpassed expectations. The results showed that 5% of the respondents did not provide a response, 26% said that their experience fell short of expectations, and 65% of the respondents said that their experience met expectations. Round your answers to two decimal places.

a. If we chose an alumnus at random, what is the probability that the alumnus would say their experience surpassed expectations

b. If we chose an alumnus at random, what is the probability that the alumnus would say their experience met or surpassed expectations?

Answer:

a) 0.04

b) 0.69

Step-by-step explanation:    

Given that

P ( No response ) = 5% = 0.05

P ( Short of expectation ) = 26 = 0.26

P ( Met expectation ) = 65% = 0.65

a)  the probability that the alumnus would say their experience surpassed expectations

P ( surpassed expectations) = 1 -  (P(No resp )+P( Short of exp)+ P( Met exp))

= 1 - (0.05 + 0.26 + 0.65 )

= 1 - 0.96

= 0.04

b) the probability that the alumnus would say their experience met or surpassed expectations.

the probability that  experience met or surpassed expectations is;

= P (met exp) + P ( surpassed exp)

= 0.65 + 0.04

= 0.69

The probability of having exactly 10 successes in 32 independent trials, with a success probability of 0.34, is approximately 0.0122 (rounded to four decimal places).

To compute the probability of having exactly x successes in a binomial experiment, we can use the binomial probability formula:

\(P(x) = C(n, x) \times p^x \times (1 - p)^{(n - x)\)

where:

P(x) is the likelihood that x successes will occur.

n is the total number of trials

P is the likelihood that a trial will be successful.

C(n, x) is the binomial coefficient, which represents the number of ways to choose x successes out of n trials.

In this case, n = 32, p = 0.34, and x = 10. Let's calculate the probability:

P(10) = C(32, 10) * (0.34)^10 * (1 - 0.34)^(32 - 10)

The binomial coefficient C(32, 10) can be calculated as:

C(32, 10) = 32! / (10! * (32 - 10)!)

Now, let's compute the value:

C(32, 10) = 32! / (10! * 22!)

= (32 * 31 * 30 * 29 * 28 * 27 * 26 * 25 * 24 * 23) / (10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1)

= 57,032,707,456 / 3,628,800

= 15,504

Now, substitute the values back into the binomial probability formula:

P(10) = 15,504 * (0.34)^10 * (1 - 0.34)^(32 - 10)

P(10) ≈ 0.0122

Therefore, the probability of having exactly 10 successes in 32 independent trials, with a success probability of 0.34, is approximately 0.0122 (rounded to four decimal places).

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Answer:

Whole numbers less than 5 may be termed as Rational numbers.