What are the solutions for f(x)=3x2-x+3?

Answer:

5.44 meters

Step-by-step explanation:

We Know

0.3048 meter = 1 ft

How many ft makes a height of 1.66m?

We Take

1.66 ÷ 0.3048 ≈ 5.44 meters

So, the answer is 5.44 meters.

Answer:

150

Step-by-step explanation:

400*10=4000

5200-4000=1200

1200 divided by 8 =150

Answer:

150 seats were sold.

Step-by-step explanation:

first do 10x400= 4000

then 5200-4000= 1200

divide that by how much balcony tickets cost, so 1200÷8= 150 seats

Answer:

no

Step-by-step explanation:

the punctuation was a little confusing, but heres what i think u meant

"A grocery store is giving a reusable bag to every person who donates more then than 5.00 to charity, Courtney donates 1.25, will she get a bag?"

for this answer we see that x is the amount of money someone donates, so x has to be greater then 5.00, so the mathematical expression would be shown like this

x > 5.00

if x is not greater then 5.00 (like if its equal or less) then the store will not give a new bag, in this case 1.25 is not an amount that x can be

Answer:

Firstly 13 points only. Np answers below ↓

Step-by-step explanation:

f(0)=(3×0)^2=0

f(10)=(3×10)^2=900

g(0)=1.5×2^0=1.5×1=1.5(x^0=1)

g(10)=1.5×2^10=1024×1.5=1536

2

Step-by-step explanation:

you would first take the square root of 6 and get 2.449...

then you would round it to the nearest whole number and get 2

Answer:Sử dụCustomer Datang  

Step-by-step explanation:

Mrs. Wu initially had $1062.40.

Let's break down the given information step by step:

1. Mrs. Wu spent 1/6 of her money on a dress and 2 blouses.

  Let's assume Mrs. Wu's total money is represented by the variable M. She spent 1/6 of M on the dress, which means she spent (1/6)M on the dress and the same amount on two blouses.

2. The dress cost 3 times as much as each blouse.

  Let's assume the cost of each blouse is represented by the variable B. Therefore, the cost of the dress would be 3B.

3. Mrs. Wu spent 3/4 of her remaining money on a watch.

  After spending on the dress and blouses, Mrs. Wu has (M - (1/6)M) = (5/6)M remaining. She spent 3/4 of this remaining money on a watch, which is (3/4) * (5/6)M = (15/24)M.

4. She spent $220.50 more on the watch than on the dress.

  The amount spent on the watch is (15/24)M, and the amount spent on the dress is (1/6)M. The difference between these amounts is $220.50.

To find the value of M, we can set up an equation:

(15/24)M - (1/6)M = $220.50

Simplifying the equation:

(15/24 - 1/6)M = $220.50

(5/24)M = $220.50

Multiplying both sides by (24/5):

M = $220.50 * (24/5)

M = $1062.40

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Answer:

7 - - 5 = 12

Step-by-step explanation:

Answer:

7+5=12

Step-by-step explanation:

even numbers of negatives alwasy equal positive

Answer:

5/7

Step-by-step explanation:

3/4-1/28

21/28-1/28

20/28

simplify

5/7

Answer:

The constant of proportionality is k=1/4

Step-by-step explanation:

For the equation y=kx, y varies directly with x with the constant of proportionality k. Therefore, k=1/4 is the answer.

Answer:

The radius of the cylinder is 13.0 inches.

Step-by-step explanation:

The volume of a cylinder is given by:

\( V = \pi r^{2}h \)

Where:

V: is the volume = 4775.94 in³

r: is the radius =?

h: is the height = 9 in

Hence, by solving the above equation for "r" we have:

\( r = \sqrt{\frac{V}{\pi h}} = \sqrt{\frac{4775.94 in^{3}}{\pi 9 in}} = 13.0 in \)                    

Therefore, the radius of the cylinder is 13.0 inches.

I hope it helps you!

We have a total of seven 4-tuples that satisfy the given relation.The given relation is {(a,b,c,d) | a,b,c,d∈!+ , a+b+c+d = 6}. It can be understood as the set of 4-tuples (a, b, c, d) such that a, b, c, and d are positive integers and their sum is equal to 6.

Let's now list all the possible 4-tuples that satisfy the given relation. The possible combinations are as follows: (1, 1, 1, 3), (1, 1, 2, 2), (1, 2, 1, 2), (2, 1, 1, 2), (1, 2, 2, 1), (2, 1, 2, 1), and (2, 2, 1, 1).

Here's a brief explanation on how these 4-tuples were obtained. Let a, b, c, and d be positive integers such that a+b+c+d = 6. The least possible value that each variable can take is 1.

So, we start with a=1 and find all possible values of (b, c, d) that satisfy the given equation. Then, we move to a=2 and repeat the process. Finally, we list all the possible 4-tuples that we obtained.

Thus, we have a total of seven 4-tuples that satisfy the given relation.

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Three ordered pairs that could represent the location of another vertex of the square are (7, 2), (-5, 2), (1, 8).

To find the possible locations of the other vertices of the square, we need to determine the distance from point K to any other vertex of the square. Since the perimeter of the square is 20 units, each side of the square has a length of 20/4 = 5 units.

One way to find the other vertices is to draw a circle with center at K and radius 5 units, and then look for points on the circle that have integer coordinates. Alternatively, we can use the distance formula to calculate the distance from K to another point (x, y), which must be 5 units, and then solve for y in terms of x.

Using the distance formula, we get:

\(\sqrt{(x-1)^{2} +(y-1)^{2} }\) = 5

Simplifying and squaring both sides, we get:

(x-1)^2 + (y-2)^2 = 25

Expanding the left side and simplifying, we get:

\(x^{2}\) - 2x + \(y^{2}\) - 4y + 20 = 0

Completing the square for x and y, we get:

\((x-1)^{2}\)  + \((y-1)^{2}\)  = \(6^{2}\)

This is the equation of a circle with center at (1, 2) and radius 6 units. Any point on this circle that has integer coordinates could be a vertex of the square, since it will be exactly 5 units away from K.

Using this method, we can find several possible locations of the other vertices of the square. Three of them are:

(7, 2), (-5, 2), (1, 8)

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Answer:

B

Step-by-step explanation:

The equation in slope-intercept form is: B. y = -3x/2 + 5/2.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + b

Where:

Based on the information provided about this line, a linear equation that models it is given by;

y = mx + b

3x + 2y = 5

By making y the subject of formula, we have the following:

2y = -3x + 5

2y/2 = -3x/2 + 5/2

y = -3x/2 + 5/2

Therefore, the y-intercept is 5/2 and the slope is -3/2. So, the correct answer option is: B. y = -3x/2 + 5/2.

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A salary slip for the month of March 2023 with information given below.

Salary Slip - March 2023

Employee Details:

Name: [Employee Name]

Employee ID: [Employee ID]

Designation: [Employee Designation]

Earnings:

Basic Salary: [Basic Salary]

House Rent Allowance (HRA): [HRA]

Dearness Allowance (DA): [DA]

Incentive: [Incentive]

Total Earnings: [Total Earnings]

Deductions:

Provident Fund (PF): [PF]

Insurance: [Insurance]

Loss of Pay (LOP): [LOP]

Total Deductions: [Total Deductions]

Net Pay: [Net Pay]

Breakdown:

Basic Salary: 50% of CTC (18L) = [Basic Salary]

HRA: 20% of Basic Salary = [HRA]

DA: 12% of Basic Salary = [DA]

Incentive: 75% of target completion = [Incentive]

Total Earnings = Basic Salary + HRA + DA + Incentive = [Total Earnings]

PF: 12% of Basic Salary = [PF]

Insurance: Rs. 2500 = [Insurance]

LOP: [LOP]

Total Deductions = PF + Insurance + LOP = [Total Deductions]

Net Pay = Total Earnings - Total Deductions = [Net Pay]

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The end behavior of the function f(n) = 3(n + 2)²(n - 3)(n - 2) is given as follows:

The end behavior of a function refers to how the function behaves as the input variable approaches positive or negative infinity.

The function for this problem is given as follows:

f(n) = 3(n + 2)²(n - 3)(n - 2).

Considering the degree, the function can be interpreted as follows:

\(3n^4\)

(for the limit when the input goes to infinity we consider only the term with the highest degree).

The leading coefficient is positive and the exponent is even, hence the end behavior is given as follows:

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Answer:

119.32

Step-by-step explanation:

\(A = 2 * 3.14 * 19 = 119.32\)

The estimated arrival time of the train in San Diego is 4:16 PM.

To find the arrival time, we must add the length of the trip to the starting time.

The trip is 4 hours and 26 minutes long, so we must add 4 hours, which is equivalent to 240 minutes, and 26 minutes to the starting time of 11:50 AM.

This results in a final time of 4:16 PM.

The number written on the board will be negative 27. This can be solved by using the concept of algebra.

Algebra is the study of mathematical symbols, while logic is the manipulation of those symbols.

Let x be the number.

There is a number written on the board. One student increased the number by 23. Then the first number will be

⇒ x + 23

But another student decreased the same number by 1. Then the second number will be

⇒ x - 1

The first student's result was 7 times greater than the result of the second student.

7 first number = second number

or, 7(x + 23) = x - 1

or, 7x + 161 = x - 1

or, 6x = - 162

or, x = - 27

The number written on the board will be negative 27.

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9514 1404 393

Answer:

  94.9

Step-by-step explanation:

It is straightforward addition to find the sum of the two numbers to be 94.871. Perhaps you're interested in rounding to the appropriate precision.

Here, the number with the fewest digits right of the decimal point is 10.9. In order to round the addition result appropriately, that "exact" result must be rounded so it has this same number of digits to the right of the decimal point (1 digit).

  94.871 ≈ 94.9

_____

Additional comment

When you're asked to round a sum (or difference) to the appropriate precision, always first compute the exact result using the full precision of all contributors. Then determine the contributor with the least precision (least significant digit is farthest to the left), and round the result to that same precision.

ES = 10.63 units

The length of the line segment connecting any two points represents the distance between them. There is just one line that connects the two places. Therefore, by measuring the length of the line segment that connects the two sites, the distance between them may be determined.

When given a straight line on a graph, you can find the length of this line by using the Distance Between Two Points Formula. This formula uses the vertices of the beginning and ending points of a straight line to find the length of the line, which is the distance between the two points.

The Distance Between Two Points Formula is:

= √(( x₂  – x₁ )² + ( y₂ – y₁) ²)

The vertices of the line ES are E ( -3, -4 ) and S ( 4, 4 ).

The distance is:

= √(( 4  – (-3) )² + ( 4 ( - 4 )) ²)

= 10. 63 units

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The probability of observing no positive reading if all suspects are telling the truth is d. 0.59. Probability theory is a branch of mathematics that is used to model and analyze random events.

Probability can be used to predict the likelihood of different outcomes in a wide range of situations, from games of chance to scientific experiments to everyday events. Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating that an event is impossible and 1 indicating that an event is certain.

To solve this problem, we need to calculate the probability of observing no positive readings given that all suspects are telling the truth, which is equal to the probability that all 5 suspects receive a negative reading on the lie detector test. Since the lie detector will show a positive reading 10% of the time when a person is telling the truth, the probability that a suspect will receive a negative reading when telling the truth is 1 - 10% = 90%. Therefore, the probability that all 5 suspects will receive a negative reading when telling the truth is:

(90%)^5 = (0.9)^5 = 0.59049.

The correct answer is therefore (d) 0.59.

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Answer:

Volume = 7.912

Step-by-step explanation:

V = πr²h

V = 3.14 × 3/4 × 3/4 × 6 3/4 ( π = 22/7 or 3.14 )

V = 3.14 × 9/16 ×18/4

V = 3.14 × 0.56 × 4.5

V = 7.912

Answer:

C. Tan 40 = 60/x

Step-by-step explanation:

Reference angle = 40°

Opposite side to reference angle = 60

Adjacent side = x

Apply trigonometric function TOA,

Tan 40 = Opp/Adj

Tan 40 = 60/x

Answer:

x = 27.19

Step-by-step explanation:

Sin(54) =22/x

0.81=22/x

x0.81= 22

x = 27.19

Answer:

3375 \(\pi \\\) cubic centimeters

Step-by-step explanation:

Trick question: The largest piece is the entire cone.

First lets identify the equation for volume.

V= 1/3 h pi r^2

h=45

r=15

V= 1/3 45 * pi 15^2

v= 15* pi 225

3375 pi

You keep pi because the answer has pi.

Answer:

Step-by-step explanation: We can start the problem by using the principle of Proportional Equivalents. We can write two equations based on the given information:

Let's say that the rate of filling the pool with one large pump is x and the rate of filling the pool with one small pump is y.

Then, we can write the following two equations:

2x + 1y = 1/4 (because two large and one small pump can fill the pool in 4 hours)

1x + 3y = 1/4 (because one large and three small pumps can fill the pool in 4 hours)

Now we have two equations with two unknowns, x and y. We can solve for x and y using either substitution or elimination method. Let's use substitution method.

Solving for x:

From equation (1), we have 2x = 1/4 - 1y

Substituting this value of x in equation (2), we get:

1 (1/4 - 1y) + 3y = 1/4

Expanding and simplifying, we get:

1/4 - 1 + 3y = 1/4

3y = 1/2

y = 1/6

So, the rate of filling the pool with one small pump is 1/6.

Now that we have found the value of y, we can find the value of x.

x = 1/4 - 1y = 1/4 - 1 * 1/6 = 1/4 - 1/6 = 1/12

So, the rate of filling the pool with one large pump is 1/12.

Now that we have found the rate of filling the pool with each large and small pump, we can find the time it will take 4 large and 4 small pumps to fill the pool.

Let's call the rate of filling the pool with 4 large and 4 small pumps as R.

Then, R = 4 * 1/12 + 4 * 1/6 = 1/3

So, it will take 1/R = 3 hours to fill the pool with 4 large and 4 small pumps.

Answer:

55

Step-by-step explanation:

All triangles have a sum of 180°

180 - 40 = 140

Since the triangle is an isosceles triangle, then you are going to divide 140 by 2 because the base angles of an isosceles triangle are congruent.

140 / 2 = 70

Now that we know that the measurement of the two base angles is 70, we can find h.

2h represents the exterior angles. Exterior angles are always supplementary to the interior angles. So, we can simply subtract 70 from 180.

180 - 70 = 110

Now, we can divide 110 by 2 to find h.

110 / 2 = 55

So, h equals 55. So, the answer is the third option.

(a) mtan refers to the slope of the tangent line. Given f(x) = 9 + 7x ², compute the difference quotient:

\(\dfrac{f(x+h)-f(x)}h = \dfrac{(9+7(x+h)^2)-(9+7x^2)}h = \dfrac{(9+7x^2+14xh+7h^2)-9-7x^2}h = \dfrac{14xh+7h^2}h\)

Then as h approaches 0 - bearing in mind that we're specifically considering h near 0, and not h = 0 - we can eliminate the factor of h in the numerator and denominator, so that

\(m_{\rm tan} = \displaystyle \lim_{h\to0}\frac{f(x+h)-f(x)}h = \lim_{h\to0}\frac{14xh+7h^2}h = \lim_{h\to0}(14x+7h) = 14x\)

and so the slope of the line at P (0, 9), for which we take x = 0, is 0.

(b) The equation of the tangent line is then y = 9.

Answer:

This is more of a question that involves opinion, I prefer to studdy animal cells but that is merely my opinion. Plant cells are interesting too and may be more interesting to someone else, But for me animal cells are the better choice.

Step-by-step explanation:

Definition. Animal cells are the basic unit of life in organisms of the kingdom Animalia. They are eukaryotic cells, meaning that they have a true nucleus and specialized structures called organelles that carry out different functions.

Plant cells are the basic unit of life in organisms of the kingdom Plantae. They are eukaryotic cells, which have a true nucleus along with specialized structures called organelles that carry out different functions. Plant cells have special organelles called chloroplasts, which create sugars via photosynthesis.