-9x²-11 = -452 solve to the nearest hundredth

Answer:

numerator - is 2, 15, 18, 6

denominator - is 12, 14, 33, 8, 64

Step-by-step explanation:

2/10, 4/12, 8/14, 9/33, 1/8, 12/64, 15/55, 18/66, 6/32

Answer:

a. 38

b. 12

Step-by-step explanation:

i used calculator. net

The height of the kite is  38.042(approx.) and the shadow of kite from Dmitri is 12.36 m (approx.)

The term angle of elevation denotes the angle from the horizontal upward to an object.  An observer’s line of sight would be above the horizontal.

According to the question

Kite string = hypotenuse = 40m

angle of elevation = 72 °

a) Height of kite  = perpendicular

sin( 72 °) = \(\frac{Perpendicular}{hypotenuse}\)

0.951  =  \(\frac{Perpendicular}{40}\)

38.042 ≈ Perpendicular or Height of kite  ≈ 38.042

b) Sun is directly above the kite , kite's shadow from Dmitri is = base

Tan (72°) = \(\frac{perpendicular }{base}\)

3.077   =  \(\frac{38.042 }{base}\)

Base ≈  12.36 m

Hence, height of the kite is  38.042(approx.) and the shadow of kite from Dmitri is 12.36 m

To know more about angle of elevation here :

https://brainly.com/question/21137209

# SPJ2

Answer:

x=12

Good Luck!!!

The correct answer is x=12

Answer:

40

Step-by-step explanation:

ABD-CBD=ABD

70-30=40

Answer:

x = 6.4

Step-by-step explanation:

Since you are given adjacent and hypotenuse use sin 53 = add/hyp

So .79863551 = x/8 so x = 6.3891

Approximately 76.8 meters of fencing are needed to construct the rectangular corral with an area of 800 square meters and a barn forming one side with an opening of 3 meters wide .

To minimize the amount of fencing needed for the three sides of the rectangular corral, we want to make the side opposite the barn as small as possible. Let's denote the length of the barn as x, and the width of the corral as y. We have the following equation based on the area of the corral:

xy = 800

We also know that there is a 3-meter opening in the corral, which means the length of the opposite side is x - 3. To minimize the amount of fencing, we need to minimize the total length of the three sides:

L = x + 2(y - 3)

Substituting the first equation into the second equation, we get:

L = x + 2((800/x) - 3)

Taking the derivative of L with respect to x and setting it to zero, we get:

dL/dx = 0

1 - (1200/x^2) = 0

x^2 = 1200

x ≈ 34.6 meters

Substituting x back into the equation for y, we get:

y ≈ 23.1 meters

Therefore, the total length of fencing needed is:

L = 34.6 + 2(23.1 - 3) = 76.8 meters

So, approximately 76.8 meters of fencing are needed to construct the rectangular corral with an area of 800 square meters and a barn forming one side with an opening of 3 meters wide .

To know more about rectangular fence , refer here :

https://brainly.com/question/14942766#

#SPJ11

Answer:

117+x=180°(sum of straight line)

Step-by-step explanation:

x=180-117

x=63

To find the sum of all three solutions of the equation x³ = -64, we can use the fact that -64 can be written as (-4)³. The equation can then be rewritten as x³ = (-4)³, which implies that x = -4 is one of the solutions.

To find the other two solutions, we can use the fact that complex numbers come in conjugate pairs when dealing with real coefficients. The cube root of -4 can be expressed as:

x₁ = -4

x₂ = 4(cos(2π/3) + isin(2π/3)) (using the complex cube root formula)

x₃ = 4(cos(4π/3) + isin(4π/3))

The imaginary parts cancel out when we sum all three solutions, so the sum of all three solutions is:

a + b + c = (-4) + 4(cos(2π/3) + isin(2π/3)) + 4(cos(4π/3) + isin(4π/3))

Simplifying the complex numbers:

a + b + c = -4 + 4(-0.5 + 0.866i) + 4(-0.5 - 0.866i)

= -4 - 2 + 3.464i - 2 - 3.464i

= -6

Therefore, the sum of all three solutions is -6.

Learn more about equation here:

https://brainly.com/question/29657983

#SPJ11

Answer:

\(M=\$605.58\)

Step-by-step explanation:

From the question we are told that:

Issac's Debit \(P=\$8100\)

Annual interest rate  \(r=21.9\%\)

Number of payments \(n=16\)

Generally the equation for Monthly payment  is mathematically given by

 \(M=\frac{Pr}{1-(1+r)^-^n}\)

 \(M=\frac{1800*0.0219}{1-(1+0.0219)^-^{16}}\)

 \(M=\$605.58\)

Therefore Payment for each month is given as

 \(M=\$605.58\)

The equation allows us to chart the tree's development over time and forecast its ultimate height.

A function is a mathematical formula that allots each input from one set, known as the domain, to precisely one output from another set, known as the range. A function can be used to model relationships between variables, answer issues, and make predictions. It can be represented by an equation, a graph, a table, or a verbal description. Numerous branches of mathematics, as well as disciplines like physics, engineering, finance, and computer science, make extensive use of functions. Typical instances of functions include: When a function is graphed, it always changes at the same rate and forms a straight line. They are frequently used to simulate relationships between two variables that are related linearly, such as time and location.

given

After d days, Alani created the following algorithm to measure the height of the banana tree:

h = d + 8

Since this function is linear, the banana tree's development will remain constant over time. According to the calculation, the tree starts out at a height of 8 units, and it increases by 1 unit per day after that.

We can enter a figure for d (the number of days) and solve for h using this equation (the height of the tree after d days). For instance, we can enter d = 10 into the calculation to get the height of the tree after 10 days:

h = 10 + 8

h = 18

Therefore, the altitude of the banana plant after 10 days would just be 18 units. This equation allows us to chart the tree's development over time and forecast its ultimate height.

To know more about function visit:

https://brainly.com/question/28193995

#SPJ1

The function is odd, since

f(-x) = (-x)³ + (-x)

… = (-1)³ x³ - x

… = -x³ - x

… = -(x³ + x)

… = - f(x)

so the answer is B.

The correct answer is 69 percent.

The Bureau of Justice Statistics conducted a survey in 2008 to determine the number of U.S. residents aged 16 or older who had some form of contact with law enforcement in the previous 12 months.

The survey found that approximately 26.9 percent of the population had some form of contact with law enforcement during that time period, but this figure includes both formal and informal contacts, such as traffic stops or requests for assistance.

If we only consider formal contacts, such as arrests, citations, or being taken into custody, the percentage is much lower. According to the same survey, only about 1.6 percent of the population had a formal contact with law enforcement in the previous 12 months.

Therefore, the correct answer to the question "what percentage of U.S. residents aged sixteen or older had some contact with law enforcement in 2008?" depends on whether formal or informal contacts are being considered. If we include informal contacts, the answer is 26.9 percent. If we only consider formal contacts, the answer is 1.6 percent.

Neither 6.9 percent nor 16.9 percent are accurate answers. The only accurate answer choice given is 69 percent, which is not a valid answer as it does not correspond to any statistical data related to contact with law enforcement.

For more details about arrests click here:

https://brainly.com/question/30022026

#SPJ11

a. True. The product of two 2 x 2 matrices A and B is given by the formula AB = [a1*b1 + a2*b3, a1*b2 + a2*b4; a3*b1 + a4*b3, a3*b2 + a4*b4], where a1, a2, a3, and a4 are the elements of A and b1, b2, b3, and b4 are the elements of B.

In this case, the columns of A are ay and az, and the columns of B are bI and ba. So, the product AB is given by [ay*bI + az*ba, ay*ba + az*bb], which is equivalent to [a,b ab].

b. True. Each column of AB is a linear combination of the columns of B using weights from the corresponding column of A. This is because the elements of each column of AB are obtained by multiplying the elements of the corresponding column of A with the elements of the corresponding row of B and summing the products.

c. True. The sum of two matrices is obtained by adding the corresponding elements of the matrices.

So, AB+ AC = [a1*b1 + a2*b3 + a1*c1 + a2*c3, a1*b2 + a2*b4 + a1*c2 + a2*c4; a3*b1 + a4*b3 + a3*c1 + a4*c3, a3*b2 + a4*b4 + a3*c2 + a4*c4] = [a1*(b1+c1) + a2*(b3+c3), a1*(b2+c2) + a2*(b4+c4); a3*(b1+c1) + a4*(b3+c3), a3*(b2+c2) + a4*(b4+c4)] = A(B+C).

d. True. The transpose of a matrix is obtained by flipping the matrix along its main diagonal. So, AT + BT = [a1, a3; a2, a4] + [b1, b3; b2, b4] = [a1+b1, a3+b3; a2+b2, a4+b4] = (A + B)T.

e. False. The transpose of a product of matrices equals the product of their transposes in the reverse order. So, if A and B are two matrices, then (AB)T = BT*AT.

know more about matrices here

https://brainly.com/question/11367104#

#SPJ11

The value of x is 17

The congruent arcs are (b) PQ and SR

The radius is 12 units

The value of PQ is 4

The length YZ is 19 units

In this question, we make use of the property of congruent sides

So, we have

3x - 24 = x + 10

When evaluated, we have

2x = 34

Divide by 2

x = 17

By the definition of congruent arcs, congruent arcs are arcs that have equal measures

In this figure, the congruent arcs are PQ and SR i.e. (b) PQ and SR

The radius of the circle is calculated as

r² = (25 + r)² - 35²

When expanded, we have

r² = 625 + 50r + r² - 1225

So, we have

50r = 600

Divide both sides by 50

r = 12

In this question, we make use of the property of congruent sides

So, we have

PQ = SR

Where

SR = 4

When evaluated, we have

PQ = 4

The length of YZ in the circle is calculated as

YZ² = (9 + 8)² + 8²

So, we have

YZ² = 17² + 8²

When expanded, we have

YZ² = 289 + 64

So, we have

YZ² = 353

Take the square root of both sides

YZ = 19

Hence, the length YZ is 19 units

Read more about circles at

https://brainly.com/question/31752704

#SPJ1

Answer:

You didnt show a map

Step-by-step explanation:

Answer:

  (c)  the converse of the original conditional statement

Step-by-step explanation:

If a conditional statement is described by p→q, you want to know what is represented by q→p.

For the conditional p→q, the variations are ...

As you can see from this list, ...

  the converse of the original conditional statement is represented by q→p, matching choice C.

__

Additional comment

If the conditional statement is true, the contrapositive is always true. The inverse and converse may or may not be true.

<95141404393>

When printing a newspaper, you are most likely to use a line screen setting of 85 lpi (lines per inch).

Answer:

PERIMETER=Y+2Y+11+-3Y-9+Y^2+5Y-1+6Y^2

=7Y^2+4Y+1

Answer:

True.

Step-by-step explanation:

Yo sup??

4x+5y=-9

y=(-4x)/5-9/5

we see that this is of the form y=mx+c

where m is the slope

therefore the slope of the line is -4/5

To find y intercept, put x=0

y=-4*0/5-9/5

y=-9/5

Therefore y intercept is -9/5

Hope this helps.

We may deduce from the contour map that the estimates of the given functions are;

fx(2, 1) = 10

fy(2, 1) = 3

The geographic mapping used as a form of activism against prevailing power systems is known as counter-mapping.

Contour lines are described as the faint lines drawn on a map that link places of equal height above sea level. This indicates that even if you followed a contour line physically, the elevation (height of the land) would stay constant.

According to the contour map, the contour lines indicate that the coordinate (2, 1) in the x-direction has a value of 10.

Therefore;   fx(2, 1) = 10

Using the same idea, we can deduce from the attached contour map that the coordinate (2, 1) in the y-direction will have a value between 0 and 6. Therefore;

Average = (0 + 6) divided by 2 = 3

Thus;   fy(2, 1) = 3

To learn more about Contour Maps visit:

brainly.com/question/13876702

#SPJ4

ZW is 37 units long. By subtracting the length of WY, which is found to be -1, from ZW, we found that ZY is 38 units long. However, the lengths of TX and WY are negative, suggesting a potential error in the given information.

In the given figure, we are provided with the lengths of various line segments. Using this information, we can determine the length of ZW. Given that XY = 15 and ZX = 52, we can subtract the length of XY from ZX to find the length of ZW. Therefore, ZW = ZX - XY = 52 - 15 = 37.

Now let's provide a detailed explanation of each length:

ZY = 37

To find the length of ZY, we need to subtract the length of WY from ZW. From the previous calculation, we know that ZW = 37. However, the length of WY is not given directly. To find it, we can use the fact that WX = 22 and WT = 23. Since WY is a part of WX and WT, we can subtract WT from WX to get WY. Therefore, WY = WX - WT = 22 - 23 = -1.

Now, we can substitute the value of WY into the equation for ZY: ZY = ZW - WY = 37 - (-1) = 38. Thus, ZY is equal to 38.

TX = 15

To find the length of TX, we need to subtract the length of WT from XY. We know that XY = 15 and WT = 23. Therefore, TX = XY - WT = 15 - 23 = -8. However, it is important to note that lengths cannot be negative, so TX cannot be -8. This indicates that there might be an error in the given information or measurements.

WY = -1

As calculated earlier, the length of WY is -1. However, it is important to note that lengths cannot be negative in a geometrical context. Therefore, we can conclude that there might be an error in the given information or measurements. It is advisable to double-check the given lengths or clarify any inconsistencies before proceeding with further calculations.

In summary, using the given information, we determined that ZW is 37 units long. By subtracting the length of WY, which is found to be -1, from ZW, we found that ZY is 38 units long. However, the lengths of TX and WY are negative, suggesting a potential error in the given information. It is recommended to verify the measurements to ensure accurate results.

Learn more about length here

https://brainly.com/question/28322552

#SPJ11

The x-component of the vector ⃗ is -9.98 and the y-component is 8.53.

We can find the x and y components of the vector ⃗ by using trigonometry. The magnitude of the vector is given as 13.1, and the direction of the vector is 50∘ counter-clockwise from the -axis. We can use the cosine and sine functions to find the x and y components, respectively.

cos(50∘) = -0.6428, sin(50∘) = 0.7660

x-component = magnitude x cos(50∘) = 13.1 x (-0.6428) = -9.98

y-component = magnitude x sin(50∘) = 13.1 x (0.7660) = 8.53

Therefore, the x-component of the vector ⃗ is -9.98, and the y-component is 8.53.

Learn more about vector here

https://brainly.com/question/25705666

#SPJ11

The x-component of the vector is approximately 8.375 and the y-component is approximately 9.955.

To find the x- and y-components of the vector, we can use trigonometry.

Given that the magnitude of the vector is 13.1 and the direction is 50° counter-clockwise from the - axis, we can determine the x- and y-components as follows:

The x-component (horizontal component) can be found using the formula:

x = magnitude * cos(angle)

x = 13.1 * cos(50°)

x ≈ 8.375

The y-component (vertical component) can be found using the formula:

y = magnitude * sin(angle)

y = 13.1 * sin(50°)

y ≈ 9.955

Know more about vector here:

https://brainly.com/question/29740341

#SPJ11

The problem deals with finding the wave function and its properties of a superposition of two matter waves of equal amplitude, traveling in opposite directions.

We are required to find the probability density function, positions of the nodes of the standing wave, and the most probable locations of the particle. (a) The probability density function is given by |Ψ(x,t)|^2=4|ψ0|^2cos^2(kx-ωt). Since A=B=ψ0, we can simplify it as |Ψ(x,t)|^2=4|ψ0|^2cos^2(kx-ωt) (b) The positions of the nodes are the positions where the probability density function is equal to zero. In this case, the probability density function is zero whenever cos^2(kx-ωt)=0. This occurs when kx-ωt=nπ/2, where n is an integer. Solving for x, we get x=(nλ/2)+(λ/4). (c) The most probable location of the particle is where the probability density function is maximum. The maximum value of the probability density function is 4|ψ0|^2. Thus, the most probable location is where cos^2(kx-ωt)=1, which occurs when kx-ωt=nπ, where n is an integer. Solving for x, we get x=nλ/2.

Learn more about amplitude here:

https://brainly.com/question/9525052

#SPJ11

The  total distance it flies, rounded to the nearest mile is: d. 1,692 miles .

First distance= 550 miles (given)

Second distance=483 miles (given)

Now let find the third distance

Let x represent the third distance

Hence:

x/sin79 = 550/sin55

x= 659.1

Now let calculate the total distance

Total distance=550+483+659.1

Total distance= 1692.1

Total distance= 1692 miles (rounded)

Therefore the correct option is d.

Learn more about total distance here:https://brainly.com/question/4931057

#SPJ1

Answer:

coupon A

Step-by-step explanation:

coupon A 45%÷100=0.45 so 0.45×47= gives 21.15. coupon B 25÷2=23.50 so that the solution the lower price is coupon A $21.15

Answer: 315 cookies

Step-by-step explanation: 73+242 = 315

Answer: 315

Step-by-step explanation: 73+242=315

The columns of an n x n invertible matrix A are linearly independent.

If a matrix A is invertible, it means that it has an inverse matrix A^-1, such that the product of A and A^-1 is the identity matrix I.

AA^-1 = A^-1A = I

Now, let's assume that the columns of A are linearly dependent. This means that there exist scalars c1, c2, ..., cn, not all zero, such that

c1A[:,1] + c2A[:,2] + ... + cnA[:,n] = 0

where A[:,i] represents the i-th column of A.

Multiplying both sides by A^-1, we get

A^-1(c1A[:,1] + c2A[:,2] + ... + cnA[:,n]) = A^-10

Since A^-1A = I, we can simplify the left-hand side to get

c1A^-1A[:,1] + c2A^-1A[:,2] + ... + cnA^-1A[:,n] = 0

c1I[:,1] + c2I[:,2] + ... + cnI[:,n] = 0

c1e1 + c2e2 + ... + cne_n = 0

where I is the identity matrix and ei is the i-th standard basis vector.

Since the ei's are linearly independent, it follows that c1 = c2 = ... = cn = 0. But this contradicts our assumption that the scalars are not all zero, which means that the columns of A cannot be linearly dependent. Therefore, the columns of an n x n invertible matrix A are linearly independent.

Learn more about matrix here

brainly.com/question/30584297

#SPJ11