Can someone help me with finding the angle

The time it takes for a rocket following the path h(x)= -4x² + 16x to hit the ground is 4 seconds.

How to find the time for a rocket to hit the ground?

The given path equation is a function of x which is a time variable here. When the rocket hits ground, height of the rocket gets zero.

Hence equating the equation of height to zero and solving for x will give the time required for the rocket to hit the ground.

According to the given question:

We are given equation for height as

h(x) = -4x² + 16x

where x is the time in seconds

When object hits the ground the height becomes 0

So, we can set h(x) = 0 and then we can solve for x

-4x² + 16x = 0

Dividing by -4x from both sides

x - 4 = 0

x = 4 sec

So, the time it takes for a rocket  to hit the ground is 4 seconds.

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Answer:

Step-by-step explanation:

Need help. Not understanding

Answer:

150

Step-by-step explanation:

80 / 2 = 4. 4 * 5 = 200. 200 / 4 = 50. 50 * 3 = 150

Discrete and Statistic are the answers to the first and second questions, respectively, while parameter is the answer to the third question.

Discrete data are items that can only have values that are specific points. They can't be divided into smaller parts. As a result, discrete data can only be counted. An example of this is the number of children in a family, which can't be broken down into smaller parts. It's also worth noting that discrete data sets are often finite.What is the meaning of statistic?A statistic is a numerical value that describes a population's characteristics based on a sample. It refers to the sample's values rather than the population's values.

The goal of sampling is to make inferences about the whole population based on a subset of it, as stated above. As a result, the statistic reflects the sample mean, median, mode, variance, and standard deviation.What is the meaning of parameter?A parameter is a quantity that characterizes a population or a statistical model, in contrast to a statistic.

A parameter is a statistical term used to refer to the measurable characteristics of a population or a sample. A parameter is a numerical value that represents a property of an entire population. The value of a parameter is generally unknown and must be estimated using the data. A parameter represents a value for a population, while a statistic represents a value for a sample.

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60 X 0.25= x

Step-by-step explanation:

25.00->2.5->0.25

percentages are converted into decimals in an equation

25℅ of 60 is represented by sixty times 0.25

Answer:

-6 because it goes down by -6 every time on the y side

The number of litres (Volume) of oil that is present in the tank of given dimension is calculated to be 806 litres (approximately).

The volume of any cylinder can be calculated using the formula,

V = πr²h

(Here V is the volume, r is the radius of the base, and h is the height of the cylinder)

As, the cylinder is one-fifth full of oil, which means that it is four-fifths empty. Therefore, the volume of oil in the tank is:

Volume of oil = (1/5) x Total Volume

Substituting the given values, we have:

Total Volume =  π(80cm)²(200cm) = 4,031,240 cm³

Volume of oil = (1/5) x 4,031,240 cm³ = 806,248 cm³

Converting cm³ to litres, we have:

1 litre = 1000 cm³

Volume of oil = 806,248 cm³ ÷ 1000 = 806.248 litres

Therefore, after rounding of the final volume (806.248 litres) to the nearest litre, the final answer is found to be 806 litres of oil.

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\(answer = 126 \\ solution \\ 3x + 54 = 180(sum \: of \: angle \: in \: straight \: line) \\ or \: 3x = 180 - 54 \\ or \: 3x = 126 \\ or \: x = \frac{126}{3} \\ x = 42 \\ replacing \: value \\ 3x \\ = 3 \times 42 \\ = 126 \\ hope \: it \: helps\)

Answer: x = 42 ∠JML = 126°

Step-by-step explanation:

A line always adds up to equal 180 degrees. Always remember this, since itll be important. So just add the values of the two angles and make it equal to 180.

3x + 54 = 180

Subtract 54 from both sides to get 3x = 126

Divide both sides by 3 to get x = 42

Now we plug in 42 for x and multiply it by 3. You get an angle of 126

Notice how 126 and 54 add to 180, there is your proof

Answer:

(B) A location

Step-by-step explanation:

If you have a point on a graph or number line, it always represents a certain location on the graph.

For instance, if we have a point on the x=3 line and the y=4 line, the point would represent the location (3,4).

Hope this helped!

Answer:

Step-by-step explanation:

a2 = -2

a + d  =  -2

a + 6d = 7

-5d  =  -9

d  =  9/5

a = -19/5

an  =  a + ( n-1 ) d

an =  -19/5 + ( n-1 ) 9/5

Answer:

Step-by-step explanation:

81 square yards

Answer:

55

Step-by-step explanation:

we have 342 students, subtract 12 because we need only kids riding the bus, now we have 330 kids, we divide the 330 kids between 6 buses 330/6, our answer is 55.

Answer:

\(381 \times 88\% \\ \\ = 381 \times \frac{88}{100} \\ \\ = \frac{33528}{100} \: \: \: \: \: \: \: \\ \\ = 335.28 \: \: \: \: \: \: \: \)

Thank you

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Number of students should be sampled to be within 0.5 drink of population mean with 95% probability is 617 students.

To determine the sample size required to estimate the population mean with a given level of precision, we can use the formula for the margin of error

Margin of error = Z × (standard deviation / sqrt(sample size))

where Z is the critical value of the standard normal distribution corresponding to the desired level of confidence. For a 95% confidence level, Z is 1.96.

We want the margin of error to be no more than 0.5 drinks, so we can set up the equation

0.5 = 1.96 × (6.3 / sqrt(sample size))

Solving for the sample size, we get

sqrt(sample size) = 1.96 × 6.3 / 0.5

sqrt(sample size) = 24.82

sample size = (24.82)^2

sample size = 617

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The equation 2 - 4y = 3 represents a plane parallel to the xz-plane. It does not fit into any of the provided classifications (elliptic paraboloid, ellipsoid, hyperboloid of one sheet, hyperboloid of two sheets, cone).

The equation 2 - 4y = 3 can be reduced to the standard form by rearranging the terms:

-4y = 3 - 2

-4y = 1

y = -1/4

From the equation, we can see that the value of y does not depend on x or z. This implies that the surface described by the equation is a plane parallel to the xz-plane. Therefore, the surface is a plane.

So, the correct classification of the surface is a plane with the equation 2 - 4y = 3. None of the options provided (elliptic paraboloid, ellipsoid, hyperboloid of one sheet, hyperboloid of two sheets, cone) are applicable to this equation.

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In a cube, a total of 12 lines can be formed.

It has 8 vertices and 12 edges. In geometry, a line is a straight geometric figure that extends indefinitely in both directions. The lines in a cube are the straight lines that connect two vertices or edges of the cube. When two points are connected with a line, it creates an edge. In a cube, there are 12 edges. Each edge is shared by two faces, and the edges are the line segments that make up the sides of the cube.

Thus, the number of lines that can be formed in a cube is 12. When two or more lines meet at a point, it is called a vertex. A cube has eight vertices or corners. When a line is drawn between any two vertices of a cube, it is called a diagonal. In a cube, there are 12 diagonals. A diagonal is a straight line segment that connects two non-adjacent vertices of a polygon. So, the number of lines that can be formed in a cube is 12, which includes the 12 edges.

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Answer:

\(\displaystyle s(t)=\frac{3}{4}t^3+10t^3+5t+3\)

Step-by-step explanation:

Integrate v(t) with respect to time

\(\displaystyle \int(3t^3+30t^2+5)\,dt\\\\=\frac{3}{4}t^4+10t^3+5t+C\)

Plug-in initial condition to get C

\(\displaystyle s(0)=\frac{3}{4}(0)^3+10(0)^3+5(0)+C\\\\3=C\)

Thus, the position function is \(\displaystyle s(t)=\frac{3}{4}t^3+10t^3+5t+3\) given the velocity function and initial condition.

Answer:

21 Dimes and 16 Quarters

Step-by-step explanation:

Let D and Q stand for the numbers of Dimes and Quarters, respectively.

We learn that Steve has 37 total coins:  

 D + Q = 37

We also know that their total value is $6.10.  Let's use cents, instead of $ for the rest of the calculation.  You can use either, but I like playing with money.

Using cents:

10D + 25Q = 610   [10 pennies times the number of Dimes gives the number of pennies.  25 pennies times each quarter gives us the pennies from all the quarters.  Their sum is 610 pennies.]

We have 2 equations and 2 unknowns, so we are able to solve the problem, after we do some substitution.

We can approach this in several ways, but I like the idea of changing the first equation to find the number of Dimes, which will be:

D + Q = 37

D  = 37 - Q

Now use this value for D in the second equation:

10D + 25Q = 610

10(37 - Q) + 25Q = 610

370 - 10Q + 25Q = 610

 15Q = 610 - 370

 15Q = 240

Q = 16 quarters

Since we already derived D  = 37 - Q, we can say:

D  = 37 - 16

D = 21 Dimes

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

Check these results.  Are 21 Dimes and 16 Quarters solutions to the scenario?

Does Steve have 37 coins:  21 Dimes and 16 Quarters = 37 Coins.  YES

Does Steve have $6.10?  21*($0.10) + 16*($0.25) = $2.10 + $4.00 = $6.10  YES

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

Answer:

I'm agreed with above guy ans

16% of students use the internet for longer than 402 minutes per day.

Standard Deviation: A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out. Consider the data set: 2, 1, 3, 2, 4. The mean and the sum of squares of deviations of the observations from the mean will be 2.4 and 5.2, respectively. Thus, the standard deviation will be √(5.2/5) = 1.01.

The majority of people (68%) are within one standard deviation of the mean.

The median is within two standard deviations of 95% of the population.

The median and three standard deviations are shared by 99.7% of the population.

The percentage will be shown as follows:

P(X > 402) = P(X > 30 + 1 × 102)

= (1-0.68) / 2

= 0.32/2

= 16%

16% of students use the internet for longer than 402 minutes per day.

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Answer:

(1) p(x) = 7x³ + 4x² + 6 - 9x⁴

(2) p(x) = 1 + 3x - 9x⁵

(3) y = 9x² - x³ + x⁹

(4) f(x) = (x +3)(x-2)(x+5)

Step-by-step explanation:

Standard form has terms arranged from the highest to the lowest power

Degree is the highest power

Leading coefficient is the coefficient of the highest term

Leading term is the term containing the highest power

(x + 3) (x - 2)(x + 5)

(x + 3) (x - 2) = x² + x - 6 using the FOIL method
(x² + x - 6)(x +5) = x³ + 6x² -x - 30

Step-by-step explanation:

come on, we explained this already in previous questions. if you understood the explanations there, you should have been able to some that here without any problems.

again, standard form is the sorted polynomial from highest variable exponent to the lowest (as the potential constant at the end represents the x⁰ term).

the leading term is the first term on the left (with the highest exponent).

the leading coefficient is the factor in this leading term.

degree is the highest exponent used in the polynomial (again, given by the leading term).

so, what is still the problem ?

i have a slight problem with your handwriting. it is unclear, if there is 7x³ or 17x³. or 13x or 3x.

1.

p(x) = 17x³ + 4x² + 6 - 9x⁴

now, just sort this from the highest to the lowest exponent.

p(x) = -9x⁴ + 17x³ + 4x² + 6

if it should be 7x³ instead of 17x³, please use 7x³ in the polynomial.

degree = 4

leading coefficient = -9

leading term = -9x⁴

2.

p(x) = 1 + 13x - 9x⁵

again sort from highest to lowest exponent

p(x) = -9x⁵ + 13x + 1

again, if it should be 3x instead of 13x, please use 3x in the polynomial.

degree = 5

leading coefficient = -9

leading term = -9x⁵

3.

y = 9x² - x⁵ + x⁹

remember, y = f(x)

that is the same thing, means the same thing. it just gives the result variable a specific name.

again sort by exponent.

y = f(x) or p(x) or ... = x⁹ - x⁵ + 9x²

degree = 9

leading coefficient = 1

leading term = x⁹

4.

f(x) = (x+3)(x-2)(x+5)

this is really like the other question I just answered.

so, we always multiply 2 terms. that result we multiply by the third term. and if they're are more, then that result with the fourth term, and that with the 5th term,...

I usually start at the left :

(x+3)(x-2) = x² - 2x + 3x - 6 = x² + x - 6

now

(x² + x - 6)((x+5) = x³ + 5x² + x² + 5x - 6x - 30 =

= x³ + 6x² - x - 30

so,

f(x) = x³ + 6x² - x - 30

degree = 3

leading coefficient = 1

leading term = x³

Answer:

2,4,8,16,32

Step-by-step explanation:

Arithmetic sequences are when a number is added constantly. An example will be 1,2,3,4,5.

In this case, the answer is 2,4,8,16,32 because it is multiplied not added. Therefore, this is the correct answer.

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Answer:

14.135

Step-by-step explanation:

6 divided by 2 (half) = 3, π·32≈28.27433 dived by 2 (half) equals 14.135

Answer:

14.13 units ^2

Step-by-step explanation:

A= 3.14 (3)^2 (area of a circle)

A= 28.26 / 2 (divide to find half of the circle)

A=14.13 units ^2

Note that the depreciation for this vehicle using method 2 will be $340.

To calculate the depreciation using method 2, we need to multiply the cost of the car by the depreciation rate per mile, which is given in cents per mile.

First, we need to calculate the total depreciation for the car in cents by multiplying the miles driven by the depreciation rate per mile:

Total depreciation = Miles driven x Depreciation rate per mile

Total depreciation = 10,000 x 3.4 cents per mile

Total depreciation = 34,000 cents

Next, we need to convert the total depreciation from cents to dollars by dividing it by 100:

Total depreciation = 34,000 cents ÷ 100 cents/dollar

Total depreciation = $340

Therefore, the depreciation for this vehicle using method 2 will be $340.

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Total 8 angles are formed when parallel lines are cut by a transversal.There relationships are mentioned below.

When two lines don't intersect, they are said to be parallel. Parallel lines are two lines that run parallel to each other and meet at infinity.

A transversal is formed when a line intersects two lines at distinct points.

When a transversal intersects two or more parallel lines, various angle pairs are formed. As shown in the figure below, a and d are two parallel lines intersected by the transversal l at the points P and Q.

When a pair of parallel lines is transversally cut, 8 angles are formed, as shown in the figure.

The relationship between the angles are:

pair of angles was formed.                        Relationships between angles

Corresponding angle pairs.                  ∠1 = ∠6, ∠4 = ∠8, ∠2 = ∠5, ∠3 = ∠7

Alternate interior angles pairs.                     ∠4 = ∠5, ∠3 = ∠6

Alternate exterior angle pairs.                       ∠1 = ∠7, ∠2 = ∠8

Interior angle pairs that are on              ∠3 + ∠5 = 180°, ∠4 + ∠6 = 180°

same side of the transversal .

Vertically opposite angle pairs.         ∠7 = ∠6, ∠8 = ∠5, ∠1 = ∠3, ∠2 = ∠4,

Thus, total 8 angles are formed when parallel lines are cut by a transversal

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it requires a detailed analysis of multiple transactions and the preparation of journal entries. This type of task is better suited for an accounting professional who can thoroughly review the provided information and accurately apply the relevant accounting principles.

However, I can provide a general overview of the journal entries that may be required based on the information given:

January 1, 2020:

Debit: Investment in Kinman Company (40% of cash paid)

Credit: Cash (Amount paid for the acquisition)

Recording Equity in Earnings for 2020:

Debit: Investment in Kinman Company (40% of net loss)

Debit: Investment in Kinman Company (40% of other comprehensive loss)

Credit: Equity in Earnings of Kinman Company

December 31, 2020:

Debit: Investment in Kinman Company (40% of dividend received)

Credit: Dividend Income

January 1, 2021:

Debit: Investment in Kinman Company (40% of additional investment)

Credit: Cash

Recording Equity in Earnings for 2021:

Debit: Investment in Kinman Company (40% of net income)

Credit: Equity in Earnings of Kinman Company

December 31, 2021:

Debit: Investment in Kinman Company (40% of dividend received)

Credit: Dividend Income

Please note that the above entries are a general guideline and may not capture all the necessary transactions. It is advisable to consult with an accounting professional or refer to the specific accounting standards applicable in your jurisdiction for a more accurate and comprehensive answer.

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Answer:

she walked 6 miles.

Step-by-step explanation:

We know that Ruth walks at a speed of 4 mph and it took her 1.5 hours to walk from her home to the library (from 9 to 10.30).

We can solve this using a rule of three:

If she walks 4 miles in 1 hour, how many hours did she walk in 1.5 hours?

1 hour           4 miles

1.5 hours       x miles

Solving for x we get:

\(x=\frac{1.5(4)}{1} =6\) miles

Thus, she walked a distance of 6 miles

The distance between her home and the library is the number of meters between them.

The distance walked is 6 m

The speed is given as:

\(\mathbf{Speed = 4mph}\)

The time spent walking is calculated as:

\(\mathbf{Time = 10:30am - 9:00am}\)

\(\mathbf{Time = 1.5\ hrs}\)

So, the distance is calculated as:

\(\mathbf{Distance = Speed \times Time}\)

Substitute known values

\(\mathbf{Distance = 4mph \times 1.5hrs}\)

\(\mathbf{Distance = 6m}\)

Hence, the distance walked is 6 m

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