helpp? determine the intercepts.

The quadratic function for the projectile's height is given as follows:

h(t) = -16t² + 81t.

The quadratic function for a projectile's height, in feet, is given as follows:

H(t) = -0.5gt² + v(0)t + h(0).

In which the parameters are given as follows:

On the problem, it is said that the initial speed is of 81 feet per second, hence the parameter v(0) is given as follows:

v(0) = 81.

The rocket is launched from the ground, hence the parameter h(0) is given as follows:

h(0) = 0.

Then the function is:

h(t) = -16t² + 81t.

More can be learned about quadratic functions at brainly.com/question/1214333

#SPJ1

Answer:

208 cm^2

Step-by-step explanation:

We know in order to find the shaded region we can subtract the parallelogram from the square

the square ABCD is a square, shown through the tick marks, and therefore has an area of 16^2 or 256.

Next, we find the area of the parallelogram which is the base time height of 6*8 or 48.

Therefore the area of the shaded region is square - rhombus is 256-48 or 208 cm^2.

The area of shaded region is 208cm²

This figure shows a parallelogram inscribed in a square.
So, the area of the shaded region is the difference between them.

To calculate the area of the square, just multiply the base by itself. And the area of the parallelogram is the base by the height

Calc square área

[tex]\begin{array}{l}\sf A_{q} =b^{2}\\\sf A_{q}=16^{2}\\\bf A_{q}=256cm^{2}\end{array}[/tex]

Calc parallelogram área

[tex]\begin{array}{l}\sf A_{p} =b\times h\\\sf A_{p}=8\times6\\\bf A_{p}=48cm^{2}\end{array}[/tex]

So, the shaded region area is difference between parallelogram and square areas:

[tex]\begin{array}{l}\sf A_{sr} =256-48\\\therefore\bf A_{sr}= 208cm^{2}\end{array}[/tex]

brainly.com/question/10744696
brainly.com/question/13389992

If you have any question about this solution, you can ask me in the comments :)

The system of equations has no solution because both equations are inconsistent. In other terms, the equation system is said to be inconsistent.

A mathematical theorem is a technique that connects two statements and utilizes the equivalent symbol (=) to signify equality. In algebra, an equation describes a mathematical statement that shows the equivalence of two formulas. For example, in the computation 3x + 5 = 14, the equal sign inserts a space between the values 3x + 5 and 14. A mathematical formula can be used to explain the connection that exists between the sentences written across each side of a letter. The logo and the programming are sometimes the same. For example, 2x - 4 equals 2.

In the first equation, the left side has 3+2+3 while the right side has 7(-1)-4. We get 8 by simplifying the left side. We get -11 by simplifying the right side. Thus far, we have:

8 = -11

Because this is not true, the first equation is incoherent.

In the second equation, the left side has 3+5 while the right side has 7(-1)-4. We get 8 by simplifying the left side. We get -11 by simplifying the right side. Thus far, we have:

8 = -11

This is likewise false, so the second equation is similarly flawed.

The system of equations has no solution because both equations are inconsistent. In other terms, the equation system is said to be inconsistent.

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

Ally's plant will be 17 inches tall at week 8.

The answer is C.

What is the rate?

In mathematics, a rate is a ratio that compares two quantities measured in different units. It specifies how much of one quantity is there per unit of another quantity. For example, the speed of a car is a rate that compares the distance traveled by the car (measured in miles or kilometers) with the time taken to cover that distance (measured in hours or minutes).

To solve this problem, we can use the equation:

height = rate * time + initial height

where rate is the growth rate (1.5 inches per week), time is the number of weeks since the initial point, and initial height is the starting height (5 inches).

Substituting the values into the equation, we get:

height = 1.5 * 8 + 5

height = 12 + 5

height = 17 inches

Therefore, Ally's plant will be 17 inches tall at week 8.

The answer is C.

To know more about the rate visit :

https://brainly.com/question/119866

#SPJ1

The angle between vectors a and b is approximately 124.3 degrees.

To find the angle between two vectors, we can use the dot product formula:

a · b = |a| |b| cos(θ)

where a · b is the dot product of vectors a and b, |a| and |b| are the magnitudes of vectors a and b, and θ is the angle between them.

The magnitudes of vectors a and b are:

|a| = √(3² + 1² + (-2)²) = √14

|b| = √((-2)² + 3² + 4²) = √29

The dot product of vectors a and b is:

a · b = (3)(-2) + (1)(3) + (-2)(4) = -6 + 3 - 8 = -11

Plugging these values into the dot product formula, we get:

-11 = (√14)(√29) cos(θ)

Solving for θ, we get:

θ = cos⁻¹(-11/(√14)(√29))

θ ≈ 124.3°

Therefore, the angle between vectors a and b is approximately 124.3 degrees.

For more questions like Vectors click the link below:

https://brainly.com/question/30363031

#SPJ11

a. The grammar for the language {w| w contains at least three 1s} is as follows:S → 0S | 1S | A | λA → 1A | B | λB → 1B | 2B | 3B | λb. The grammar for the language {w| w starts and ends with the same symbol} is as follows:S → 0A0 | 1B1 | λA → 0A | 1A | λB → 0B | 1B | λc.

The grammar for the language {w| the length of w is odd} is as follows:S → 0S1 | 1S0 | 0 | 1d. The grammar for the language {w| the length of w is odd and its middle symbol is a 0} is as follows:S → 0A0 | 0B0A → 0A | 1A | λB → 1B | 0B | λe.

The grammar for the language {w| w = wR, that is, w is a palindrome} is as follows:S → 0 | 1 | ε | 0S0 | 1S1S → 0S0 | 1S1 | εf. The grammar for the language The empty set is as follows:S → A | B | λA → 0A | 1A | B → 0B | 1B | For the empty set, no string should be produced. Thus, the grammar contains no production rules.

To know more about grammar for languages, refer here:

https://brainly.com/question/28188050#

#SPJ11

The area of the region bounded by the parabola y = x2, the tangent line to this parabola at the point (3, 9), and the x-axis is 54.

The area of the region bounded by the parabola y = x2, the tangent line to this parabola at the point (3, 9), and the x-axis can be found by using the formula for the area of a triangle.

The first step is to find the equation of the tangent line at the point (3, 9). To do this, we can use the slope-point form of a line, which states that the equation of a line with slope m and point (x₀, y₀) is y - y₀ = m(x - x₀).

The slope of the parabola at (3, 9) is 6 (this can be calculated by taking the derivative of the function and evaluating it at x = 3). Thus, the equation of the tangent line is y - 9 = 6(x - 3).

We can then use the formula for the area of a triangle to calculate the area of the region. The formula states that the area of a triangle with side lengths a, b, and c is A = (1/2)bc⋅sinA.

In this problem, a = 3 (the distance between the points (3, 9) and (0, 0)), b = 9 (the distance between the points (0, 0) and (9, 0)), and c = 6 (the distance between the points (3, 9) and (9, 0)). Thus, the area of the region is A = (1/2)bc⋅sinA = (1/2) (9)(6)⋅sin30 = 54.

To know more about parabola refer here :

https://brainly.com/question/21685473

#SPJ11

The exact value, given that sin A --4/5, with A in quadrant IV, tan B 7/24 with B in quadrant III, and cos C5/13 with C in quadrant II 9) cos 2 is -25, hence the correct option is B.

To find cos 2A, we first need to find cos A and sin A using the given information. Since A is in quadrant IV, we can use the Pythagorean identity to find cos A:

cos^2 A + sin^2 A = 1

cos^2 A + (-4/5)^2 = 1

cos^2 A = 9/25

cos A = 3/5

Now, we can use the double angle identity for cosine to find cos 2A:

cos 2A = 2cos^2 A - 1

cos 2A = 2(3/5)^2 - 1

cos 2A = -24/25

Therefore, the exact value of cos 2A is -24/25, which matches option (B).


To know more about Sin A, refer here:

https://brainly.com/question/19213118#

#SPJ11

The given statement is True (T).

Explanation:A linear system in the form of Ax = b, where x and b are column vectors and A is a coefficient matrix. The solution set of a linear system is the set of all solutions to the system.Therefore, The solution set of the linear system whose augmented matrix is [a_1 a_2 a_3 a_4 b] is the same as the solution set of Ax = b, if A = [a_1 a_2 a_3] is True.

for more questions related to augmented  matrix, refer here:

https://brainly.com/question/16796667#

#SPJ11

You are correct, two unit vectors orthogonal to both 9, 4, 1 and -1, 1, 0 are (1/√17, -1/√17, 13/√17) and (-1/√17, 1/√17, -13/√17).

Hello! The two unit vectors orthogonal to both 9, 4, 1 and -1, 1, 0 are (1/√17, -1/√17, 13/√17) and (-1/√17, 1/√17, -13/√17). To find these vectors, we can use the cross product of two vectors, which will give us a third vector that is orthogonal to both vectors. We can find the cross product of the two vectors by multiplying their components together, and use the resulting vector as our new vector.

To find the unit vector, we can divide all of the components of the vector by its magnitude. The magnitude of the vector (1/√17, -1/√17, 13/√17) is 17, so the unit vector is (1/√17, -1/√17, 13/√17).

The other unit vector is the negative of this vector, which is (-1/√17, 1/√17, -13/√17).

To know more about orthogonal vectors, refer here:
https://brainly.com/question/28503609#

#SPJ11

After answering the given query, we can state that Consequently, the cylinder silver sphere weighs about 4941.6 grams.

The cylinder, which is frequently a three-dimensional solid, is one of the most basic curved geometric forms. In simple geometry, it is known as a prism with a circle as its basis. The term "cylinder" is also used to refer to an infinitely curved surface in a number of modern areas of geometry and topology. A "cylinder" is a three-dimensional structure made up of curving surfaces with circular tops and bases. A cylinder is a three-dimensional solid figure with two bases that are both identical circles connected at its height, which is defined by the separation of the bases from the center. Cans of iced drinks and the filaments from toilet paper are examples of cylinders.

The volume of the cylinder must first be determined using the calculation for a right circular cylinder:

V = πr²h

The radius of the cylinder is 5 centimeters because its diameter is 10 cm. There is a 6cm height. We thus have:

V = π(5cm)²(6cm)

V = π(25cm²)(6cm)

V = 150π cm³

The mass of the sphere can then be determined using the density of silver. The density equation is:

density equals mass/volume

To solve for the mass, we can rearrange this expression as follows:

Volume times Density = Mass

In place of the ideals we hold:

mass is equal to (10.49 g/cm3 x 150 cm3).

1573.5 g mass; 4941.6 g mass (rounded to the nearest tenth)

Consequently, the silver sphere weighs about 4941.6 grams.

To know more about cylinder visit:

https://brainly.com/question/16134180

#SPJ1

To convert 17 miles to kilometers, first multiply by 1 mile = 1.609 kilometers. Then, multiply 17 miles by 1.609 kilometers to get 27.543 kilometers. Round to 27.54 kilometers.

To convert 17 miles to kilometers, first convert the unit of measure from miles to kilometers. This can be done by multiplying by a conversion factor. The conversion factor is the number of kilometers per mile, which is 1.609 kilometers per mile. This means that 1 mile = 1.609 kilometers. To convert 17 miles, multiply 17 miles by 1.609 kilometers.

To convert 17 miles to kilometers, first multiply by 1 mile = 1.609 kilometers.

Then, 17 miles × 1.609 kilometers = 27.543 kilometers.

Round to 27.54 kilometers.

This gives us a result of 27.543 kilometers. Finally, round the result to two decimal places, which gives us 27.54 kilometers. Therefore, 17 miles is equal to 27.54 kilometers.

Learn more about kilometers here

https://brainly.com/question/30581160

#SPJ1

The joint density function of XY and Z^2 is 1 for 0 ≤ xy, z^2 ≤ 1, and E(XY < Z^2) = 5/9.

The joint density function of two random variables X and Y is given by f(x, y) = fX(x) * fY(y), where fX and fY are the marginal density functions of X and Y respectively. Since X, Y, and Z are independent and uniformly distributed on the interval [0, 1], their marginal density functions are given by fX(x) = fY(y) = fZ(z) = 1 for 0 ≤ x, y, z ≤ 1.

Therefore, the joint density function of XY and Z^2 is given by:

f(xy, z^2) = fX(x) * fY(y) * fZ(z) = 1 * 1 * 1 = 1 for 0 ≤ xy, z^2 ≤ 1

Now, to find E(XY < Z^2), we need to integrate the joint density function over the region where XY < Z^2:

E(XY < Z^2) = ∫∫∫ f(xy, z^2) dxdydz = ∫∫∫ 1 dxdydz

= ∫_0^1 ∫_0^1 ∫_0^(z^2) 1 dxdydz

= ∫_0^1 ∫_0^1 (z^2 - 0) dydz

= ∫_0^1 (z^2 - 0) dz

= (1/3) - 0 = 1/3

Therefore, E(XY < Z^2) = 1/3 = 5/9.

So, the joint density function of XY and Z^2 is 1 for 0 ≤ xy, z^2 ≤ 1, and E(XY < Z^2) = 5/9.

To know more about joint density function, refer here:

https://brainly.com/question/29848433#

#SPJ11

Answer:

Step-by-step explanation:

might be 2 and 2/5. or 2.4. it might be wrong though.

Answer:

12/5

Step-by-step explanation:

What you divide by a fraction, it is the same as multiplying by its multiplicative inverse. For example, if you wanted to divide 2/3 by 7/6, that is the same as MULTIPLYING 2/3 by 6/7.

See how 7/6 changes into 6/7? We can use that principal here also.

4/5 DIVIDED by 1/3 =

4/5 MULTIPLIED by 3/1 =

4/5 MULTIPLIED by 3 =

12/5

Therfore, your answer is 12/5

I put a lot of thought and consideration into my answer, so I would really appreciate a brainliest! Thanks!

Answer:

(6, -1)

Step-by-step explanation:

Point (1, -3)

Translation right 5 units. Meaning x + 5.

(1, -3) → (6, -3)

Up 2 units. Meaning y + 2.

(6, -3) → (6, -1)

So, the final point will be at  (6, -1)

The value of x is 15. Option A

Complementary angles are two angles whose sum is equal to 90 degrees. In other words, when two angles are complementary, they complete each other to form a right angle.

Complementary angles are often used in geometry and trigonometry to solve problems involving right triangles, where one angle is a right angle (measuring 90 degrees) and the other two angles are complementary to each other.

Given m∠1 = x° and m∠2 = (3x+30)°. Since ∠1 ​ and ∠2 are complementary. We can say:

m∠1 + m∠2 = 90°

x° + (3x+30)° = 90°

4x + 30 = 90

4x = 90 - 30

4x = 60

x = 60/4

x = 15

Therefore, the value of x is 15.

Learn more about complementary angles on:

https://brainly.com/question/98924

#SPJ1

Step-by-step explanation:

elimination means that we multiply one or both equations by certain numbers, so that the sum of terms of the same variable across both equations is 0.

then the sum of both equations is one equation in one variable.

with the solution of that we go into any of the original equations to solve for the second variable.

I suggest in our case to multiply the first equation by -4. and then x add both equations.

-4x - 16y = -88

4x + y = 13

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

0 - 15y = -75

y = -75/-15 = 5

with this y = 5 we go e.g. into the second original equation.

4x + 5 = 13

4x = 8

x = 8/4 = 2

Answer: 3x cubed −4x squared − 22x + 21

Step-by-step explanation: hope this helps

Answer:

3x3−4x2−22x+21

Step-by-step explanation:

Combine like terms by multiplying each term in the first expression by each term in the second expression.

Answer:

I would say A. Yes, there are three numbers and three sections.

Step-by-step explanation:

The spinner that Pamilla drew is a good model because most of the spinners have 3 equal sections, not all.

Answer:

No, the three events are not equally likely to occur.

Step-by-step explanation:

I just had this question in a quiz so I know it's right. But fyi you should've added the table with the results so ppl know it's not equal.

The fraction form of 42% is 21/50.

Every fraction's numerator and denominator are split in half by a horizontal bar known as the fractional bar.

The denominator displays the number of pieces into which the whole has been divided. It is situated below the fractional bar in the lower part of the fraction.

The numerator indicates how many portions of the fraction are selected or displayed. It is located at the upper part of the fraction, above the fractional bar.

We have to write 42% into the simplest form fraction.

So, Explicit 42%

42 /100

Now, simplify the fraction by making it in its lowest form

42 /100

2 x 21/ 2x 50 = 21/50

Hence, the fraction is 21/50.

Learn more about fractions, here:

https://brainly.com/question/8482939

#SPJ1

The estimated value of y(1.25) using the Runge Kutta 4th Order Method with a step size of h=0.25 is 2.7789. The correct answer is C

To arrive at this answer, we use the Runge Kutta 4th Order Method to approximate the solution of the differential equation dy/dx=f(x, y)=1+(y/x), y(1)=2. We use a step size of h=0.25 to move from x=1 to x=1.25, with the following steps:

1. Calculate the four intermediate approximations of y,
K1=f(x0,y0)=1+(2/1)=3,
K2=f(x0+h/2,y0+(h/2)*K1)=1+((2+3h/2)/(1+h/2))=1.7208,
K3=f(x0+h/2,y0+(h/2)*K2)=1+((2+1.7208h/2)/(1+h/2))=2.0214,
K4=f(x0+h,y0+h*K3)=1+((2+2.0214h)/(1+h))=2.2587.

2. Calculate the estimated value of y(1.25):
y1.25=y0+h/6[K1+2K2+2K3+K4]=2+0.25/6[3+2(1.7208)+2(2.0214)+2.2587]=2.7789.

Therefore, the estimated value of y(1.25) using the Runge Kutta 4th Order Method with a step size of h=0.25 is 2.7789. The correct answer is C

To learn more about Runge-Kutta method of fourth order, click on below link:

https://brainly.com/question/29967505

#SPJ11

Nantucket Subaru will report $1,125 of interest revenue on its income statement for the fiscal year ended December 31st, 2022. We can calculate it in the following manner.

To calculate the amount of interest revenue that Nantucket Subaru will report on its income statement, we need to use the following formula:

Interest = Principal x Rate x Time

Where:

Principal is the amount of the note receivable, which is $6,000

Rate is the annual interest rate, which is 15%

Time is the time period, which is 13/12 of a year (since the note is for 13 months)

So, plugging in the values, we get:

Interest = $6,000 x 0.15 x (13/12)

Interest = $1,125

Therefore, Nantucket Subaru will report $1,125 of interest revenue on its income statement for the fiscal year ended December 31st, 2022.

Learn more about interest revenue here brainly.com/question/19165765

#SPJ4

Answer:

56

Step-by-step explanation:

m<MON is 56 because of alt int angles, and so 56+68=124

180-124=56

A scatterplot is often used to display data from a correlational observation. Therefore option C. a correlational observation is correct.

A scatterplot is a graph used to determine whether there is a correlation or association between two variables. Scatterplots are a graphical representation of data that display the data as a collection of points that are not linked.

In research, scatterplots can be utilized to show the data from a correlational observation. Scatterplots are helpful for visualizing the direction, strength, and shape of relationships among two variables.

A correlational observation, also known as a correlational study or correlational research, is a type of study that investigates the relationship between variables in order to establish correlation.

This technique compares two variables to determine if there is a linear relationship between them.

So, option C is correct choice.

for such more question on scatterplot

https://brainly.com/question/29366075

#SPJ11

The estimated annual revenue for McDonald's restaurants worldwide in 2019 is $20.56 billion.

The annual revenue from McDonald's restaurants worldwide between 2015 and 2019 can be estimated by the equation R = 25.44 - 1.22t, where R is in billion dollars and t is in years since January 1, 2015. To find the estimated annual revenue for a specific year, we can substitute the value of t into the equation and solve for R.

For example, to find the estimated annual revenue for the year 2017, we can substitute t = 2 (since 2017 is 2 years after January 1, 2015) into the equation:

R = 25.44 - 1.22(2)
R = 25.44 - 2.44
R = 23

Therefore, the estimated annual revenue for McDonald's restaurants worldwide in 2017 is $23 billion.

Similarly, we can find the estimated annual revenue for other years by substituting the corresponding value of t into the equation and solving for R. For example, for the year 2019, t = 4, so we can substitute t = 4 into the equation and solve for R:

R = 25.44 - 1.22(4)
R = 25.44 - 4.88
R = 20.56

Therefore, the estimated annual revenue for McDonald's restaurants worldwide in 2019 is $20.56 billion.

To know more about revenue refer here:

https://brainly.com/question/614034#

#SPJ11

What is Unitary Method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

Total amount = $285.75

Parking = $13.75

Price of ticket per person = $34.

So, money left after paying for parking

=285.75 - 13.75

= 272

Now, number of people in amusement park

= 272/34

=8

Hence, 8 people can go to the amusement park.

The probability of spinning yellow and having the number cube show an odd number is 1/12

Each of the spinner's six equal parts has an equal chance of landing face up. As a result, there is a 1/6 chance of turning yellow.

Similar to the dice, the chance of rolling an odd number is 3/6 or 1/2 because the number cube has 6 sides with the numbers 1 through 6.

We must multiply the probabilities of each occurrence in order to determine the probability of rolling an odd number and spinning yellow:

P(Yellow and Odd)  = P(Yellow) x P(Odd)

= 1/6 x 1/2

= 1/12

As a result, there is a 1/12 chance of spinning yellow and having the number square display an odd number.

Learn more about probability here:

https://brainly.com/question/30034780

#SPJ4

To sketch the region in XY Plane corresponding to (A union B) and (A intersect B), given: A = {(x,y): 0 < x < 3, 0 < y < 3} and B = {(x,y): 2 < x < 4, 2 < y < 4}, follow these steps:

1. Draw a rectangle with corner points (0, 0), (3, 0), (3, 3), and (0, 3). This represents set A.

2. Draw a rectangle with corner points (2, 2), (4, 2), (4, 4), and (2, 4). This represents set B.

3. To represent the union of A and B, draw a larger rectangle encompassing both of the above rectangles, with corner points (0, 0), (4, 0), (4, 4), and (0, 4).

4. To represent the intersection of A and B, draw a rectangle with corner points (2, 2), (3, 2), (3, 3), and (2, 3).

To know more about Plane , refer here

https://brainly.com/question/1962726#

#SPJ11

y + (1/3)y + 1 = 9

We can simplify the left side of the equation by combining the two terms with y:

(4/3)y + 1 = 9

Subtracting 1 from both sides:

(4/3)y = 8

Multiplying both sides by 3/4:

y = 6

So the value of y that satisfies the equation is y = 6.

To check our answer, we can substitute y = 6 into the original equation:

y + (1/3)y + 1 = 9

6 + (1/3)(6) + 1 = 9

6 + 2 + 1 = 9

9 = 9

The equation is true, so our solution y = 6 is correct.

The secοnd statement is wrοng, because the PQRS form is a kite. And the first statement is true because cοnnected it Will be quadrilateral

The statement  the diagonals οf quadrilateral qrst are perpendicular is cοrrect and qrst must be either a square or a rhοmbus is wrong.

Word problems are οften described verbally as instances where a problem exists and one or more questions are pοsed, the solutions to which can be fοund by applying mathematical operations to the numerical information provided in the prοblem statement. Determining whether twο provided statements are equal with respect to a collection of rewritings is known as a word prοblem in computational mathematics.

Here the given qrst quadrilateral is Kite.

We knοw that diagonal of kite bisect each other at 90°.

Then. the qrst quadrilateral diagοnals are perpendicular.

Then secοnd statement is wrοng , because it qrst is kite.

Hence the first statement is cοrrect.

To learn more abοut word problem refer the below link

https://brainly.com/question/21405634

#SPJ1