20.8 = 4( z+1.1)
What is Z ?

x^2 + 6xy + 8y2

4x^2 + 3xy + 2y^2 - 5x^2 + 2xy + 6y^2

= 4x^2 + 3xy + 2y^2 + -5x^2 + 3xy + 6y^2

Combine like terms:

= 4x^2 + 3xy + 2y^2 + -5x^2 + 3xy + 6y^2

= (4x^2 + -5x^2) + (3xy + 3xy) + (2y^2 + 6y^2)

= -x^2 + 6xy + 8y^2

Answer:

+2 ، +3 ، - 2 ، - 3

Step-by-step explanation:

-12.2÷-6.1=+2

(3(3/7))÷((1(1/7))=+3

16/-8=-2

(-2(2/5))÷(4/5)=-3

Answer:

3 --> 3 3/7 ÷  1 1/7

-2 --> 16 ÷ (-8)

-3 --> -2 2/5 ÷ 4/5

2 -->  -12.2 ÷ (-6.1)

Solution:

Simply plug these numbers into the calculator and receive your answer.

When the graph is decreasing, the rectangles give an underestimate and when the graph is increasing, they give an overestimate. These trends are accentuated to a greater extent by areas of the graph that are steeper.

We only need to add up the areas of all the rectangles to determine the area beneath the graph of f. It is known as a Riemann sum. The area underneath the graph of f is only roughly represented by the Riemann sum. The subinterval width x=(ba)/n decreases as the number of subintervals n increases, improving the approximation. Increased sections result in an underestimation while decreasing sections result in an overestimation. We now arrive at the middle rule. The height of the rectangle is equal to the height of its right edges for a right Riemann sum and its left edges for a left Riemann sum. The rectangle height is the height of the top edge's midpoint according to the midpoint rule, a third form of the Riemann sum.

Learn more about Riemann Sum here: brainly.com/question/30404402

#SPJ4

The equation of the following line is y= -1/5x.

Option F is correct.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

From the graph we have the coordinates as (0, 0) and (10, -2)

So, the slope of the line is

= (-2 - 0) / (10- 0)

= -2/ 10

= 1-5

and, using the slope intercept is

y= mx+ b

y= -1/5x + b

Now, put x= 0 and y= 0 in above equation

0 = 1/5(0) + b

b= 0

So, the Equation of line is

y= -1/5x

Learn more about slope here:

https://brainly.com/question/3605446

#SPJ7

Using sampling concepts, it is found that stratified sampling is used.

Samples may be classified as:

In this problem, the population is divided into groups according to their ages, then equal proportions of each group are taken, hence stratified sampling is used.

You can learn more about stratified sampling at https://brainly.com/question/25119689

Answer:

The angle between the diagonal of the rectangle is \(\frac{\pi }{2}\).

Given:

The vertices of the rectangle are

a = (1, 0), b = (0, 3), c = (3, 4), and d = (4, 1)

To find:

The objective is to find the angle between the diagonals.

Step 1 of 3

Consider the diagram attached.

Step 2 of3

The position vector of diagonal AC is-

=(3-1)î+(4-0)j=2î+4j

And the position vector of diagonal BD is-

=(4-0)î+(1-3)j=4î-2j

Step 3 of 3

cosθ=\(\frac{AC.BD}{|AC|.|BD|}\)

cosθ=\(\frac{(2i-4j)(4i-2j)}{\sqrt{2^2+4^2} \sqrt{4^2+(-2)^2\\} }\)

=\(\frac{8-8}{\sqrt{20}.\sqrt{20} }\)

=0

θ=\(cos^{-1}\)(0)

θ=\(\frac{\pi }{2}\)

Therefore the angle between the diagonal of the rectangle is \(\frac{\pi }{2}\)

https://brainly.com/question/25705666

#SPJ4

The angle between the diagonals of a rectangle is π/2

The vertices of the rectangle are

a = (1, 0), b = (0, 3), c = (3, 4),  d = (4, 1)

The diagonal position vector AC  

=(3-1)î+(4-0)j=2î+4j

And the diagonal position vector BD  

=(4-0)î+(1-3)j=4î-2j

cos Ф = (AC.BD) / (|AC| . |BD|)

cos Ф = (8-8) / (root20 -roo20)

= 0

Ф = π/2

Therefore the angle between the diagonals of the rectangle is π/2

Learn more about diagonals here

https://brainly.com/question/26154016

#SPJ4

The area of the triangle in front of the triangular prism is xy/2.

The triangular prism is a three-dimensional shape with three rectangular and two triangular faces. The triangular faces are parallel to one another and the rectangular faces are perpendicular to the triangular edges.

The area of a shape is determined by the measurement of the surface of the shape.

The area of a triangle is base multiplied by the height of a triangle divided by 2.

We have to find the area of the front triangle which means the area of the one triangle.

Assume that the base of the triangle is x and the height of the triangle is y

So,

Area of triangle= ½ base×height

                          =  ½ x × y

                          = xy/2

Therefore the area of a triangle  is xy/2

Learn more about the triangular prism and area with the help of the given link:

https://brainly.com/question/16765719

#SPJ9

Answer:

38

Step-by-step explanation:

It is 4,10,6,6,6,6 feet so add it up and it is 38

Step-by-step explanation:

The slope is the ratio of change in number of cups to change in hours:

The y-intercept is the number of cups at zero hour:

The line would be:

The skip interval should be 40 if the sampling frame has 2000 names and the desired sample size is 50.

Systematic sampling is a type of sampling which uses the probability method where researchers select members of the group or population at a regular interval.

To determine the skip interval, it is necessary to first determine the sample size. Then the skip interval can be determined by dividing the total population by the target/desired sample size. Therefore;

skip interval = population / target sample size

Substituting the given values;

skip interval = 2000 / 50

skip interval = 40

Hence, the skip interval is calculated to be 40 if the frame has 2000 names and the desired sample size is 50.

To learn more about systematic sampling; click here:

https://brainly.com/question/14333907

#SPJ4

Answer:

Step-by-step explanation:

Let the sides of triangle be a, b and c

Perimeter

New sides

New perimeter

Correct choice is D

This is the equation of a circle is (x - 14)² + (y - 5)² = 1 with center at (14, 5) and radius 1.

Starting with the x terms:

x² - 28x

= x² - 28x + 196 - 196

= (x - 14)² - 196

And now for the y terms:

y² - 10y

= y² - 10y + 25 - 25

= (y - 5)² - 25

Substituting these into the original equation gives:

(x - 14)² - 196 + (y - 5)² - 25 + 220 = 0

Simplifying gives:

(x - 14)² + (y - 5)² = 1

This is the equation of a circle with center at (14, 5) and radius 1.

To graph this, plot the point (14, 5) and draw a circle with radius 1 around it.

Learn more about Equation of Circle here:

https://brainly.com/question/29288238

#SPJ1

Answer:x=1/2

Step-by-step explanation:

9x-22=x+26

8x=4

X=1/2

Answer:

6

Step-by-step explanation:

9n-22=26+n

like terms

9n-n=26+22

solve

8n=48

simplify

n=6

a. There are approximately 0.0138 ways to select five cards with three kings.

b. There are approximately 0.0027 ways to select five cards with four spades and one heart.

(a) To select three kings from a standard deck of 52 cards, there are four choices for the first king, three choices for the second king, and two choices for the third king. Since the order in which the kings are selected does not matter, we need to divide by the number of ways to arrange three kings, which is 3! = 6. Finally, there are 48 remaining cards to choose from for the other two cards. Therefore, the total number of ways to select five cards with three kings is:

4 x 3 x 2 / 6 x 48 x 47 = 0.0138 (rounded to four decimal places)

So there are approximately 0.0138 ways to select five cards with three kings.

(b) To select four spades and one heart, there are 13 choices for the heart and 13 choices for each of the four spades. Since the order in which the cards are selected does not matter, we need to divide by the number of ways to arrange five cards, which is 5!. Therefore, the total number of ways to select five cards with four spades and one heart is:

13 x 13 x 13 x 13 x 12 / 5! = 0.0027 (rounded to four decimal places)

So there are approximately 0.0027 ways to select five cards with four spades and one heart.

Learn more about five cards from

https://brainly.com/question/32776023

#SPJ11

2.1 The volume in ml of one can of cold drink is 83 ml.

2.2 The height of the cooler bag is 18 cm.

2.3 The volume in ml of the cooler bag if the breadth of the bag is 12 cm and the length 18 cm is 3,888 ml.

2.4 The circumference of the can is 18.84 cm.

In Mathematics and Geometry, the volume of a cylinder can be calculated by using this formula:

Volume of a cylinder, V = πr²h

Where:

By substituting the given side lengths into the volume of a cylinder formula, we have the following;

Volume of can = 3.14 × (6/2)² × 8.84

Volume of can = 83.27 cm³.

Note: 1 cm³ = 1 ml

Volume of can in ml = 83.27 ≈ 83 ml.

Part 2.2.

For the height of the cooler bag, we have:

Height of cooler bag = 2 × height of can

Height of cooler bag = 2 × 8.84

Height of cooler bag = 17.68 ≈ 18 cm.

Part 2.3

Volume of cooler bag = length × breadth × height

Volume of cooler bag = 18 × 12 × 18

Volume of cooler bag = 3,888 ml.

Part 2.4

The circumference of the can is given by:

Circumference of circle = 2πr

Circumference of can = 2 × 3.14 × 3

Circumference of can = 18.84 cm.

Read more on cylinder here: brainly.com/question/14060443

#SPJ1

Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The derivative of f(x) = sech^(-1)(x^2) is f'(x) = 2x/sqrt(1 - x^4).

a) To find f'(x) for f(x) = x*sin(x), we can use the product rule and the derivative of the sine function.

Using the product rule, we have:

f'(x) = (xsin(x))' = xsin'(x) + sin(x)*x'

The derivative of sin(x) is cos(x), and the derivative of x with respect to x is 1. Therefore:

f'(x) = x*cos(x) + sin(x)

So, the derivative of f(x) = xsin(x) is f'(x) = xcos(x) + sin(x).

(b) To find f'(x) for f(x) = sech^(-1)(x^2), we can use the chain rule and the derivative of the inverse hyperbolic secant function.

Let u = x^2. Then, f(x) can be rewritten as f(u) = sech^(-1)(u).

Using the chain rule, we have:

f'(x) = f'(u) * u'

The derivative of sech^(-1)(u) can be found using the derivative of the inverse hyperbolic secant function:

(sech^(-1)(u))' = 1/sqrt(1 - u^2)

Since u = x^2, we have:

f'(x) = 1/sqrt(1 - (x^2)^2) * (x^2)'

Simplifying:

f'(x) = 1/sqrt(1 - x^4) * 2x

So, the derivative of f(x) = sech^(-1)(x^2) is f'(x) = 2x/sqrt(1 - x^4).

learn more about derivative here

https://brainly.com/question/29144258

#SPJ11

Answer:

Find the slope from a graph

Locate two points on the line whose coordinates are integers.

Starting with the point on the left, sketch a right triangle, going from the first point to the second point.

Count the rise and the run on the legs of the triangle.

Take the ratio of rise over run to find the slope. m = rise / run.

The equation which determines the painted area is (x+15)(x+10)-5.

Given that there is a rectangle with a length of x plus 15 and width of x plus 10 with a rectangle in the bottom right corner labeled bench that has a given length of 5 and width of 1.

A rectangle is a two-dimensional (2D) form in which the four angles are all right angles and the opposite sides are parallel and equal to one another. The region that the rectangle's perimeter encloses is known as its area, which is equal to the product of its length and width.

Let the length of the patio be L=x+15.

The width of the patio be W=x+10.

So, the Area of the patio will be painted is, A₁=L×W

A₁=(x+15)(x+10)

Let the Length of the bench be L₁=5

The width of the bench be W₁=1

So, the Area of the bench will be painted is, A=L₁×W₁

A₂=5×1

A₂=5

The net area of the patio that will be painted is

A=A₁-A₂

A=(x+15)(x+10)-5

Hence, the equation which is used determines the area, A, of the patio that will be painted is (x+15)(x+10)-5.

Learn more about area of rectangle from here brainly.com/question/17314620

#SPJ4

Answer: Draw rectangle put 149m at the top and bottom and 76m at the side now add and you 450m

Answer:

a²+b²=c² if that's what you mean :)

Answer:

x=180

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

because your making it all to the zero power which equals zero

Answer:

0

Step-by-step explanation:

We will use the rule of order of operations

15 + 4 = 19

20 + 5 = 25

19 squared = 361

3 x 361 = 1083

25 squared = 625

625 x 2 = 1250

New equation =

1083 + 1250

=

2333

But you multiply by 0 so it equals 0

The sequent is valid in both cases.Conclusion:By using the above proof rules of deduction, we have proved that the given sequent is true.

Given, (vr) ((G(x) V H(x)) +  K(x)), (3a)  K(x) + (2x)  H(z), and so forth, to demonstrate: Using the Predicate Calculus's deduction rules, we must demonstrate that the given sequence is true. Step 1: Step 2: Convert the statement into symbolic form by using the following formulas: (vr) ((G(x) V H(x)) +  K(x)), (3a)  K(x) + (2x)  H(z)) (vr) ((G(x) V H(x))  K(x)),  K(x) + z) Utilize the evidence rules to get the end from the premises.

We have two possible scenarios based on the premises: Case 1: Case 2: K(x)(3a) K(x) + (2x) H(z) (elimination rule) H(z) ~ H(z)(3a) ~ K(x) + (2x) ~ H(z)∴ ~ K(x) (Disposal rule)Therefore, the sequent is legitimate in the two cases. Conclusion: We have demonstrated that the given sequence is accurate by employing the aforementioned proof rules of deduction.

To know more about Predicate Calculus's refer to

https://brainly.com/question/30761092

#SPJ11

The ascending order of the expression from smallest to highest is: -39, -11, -8, -6, 2.

In the above case, we need to first break down or simplify the expressions and thus it will be:

9 + 3 = -6

-4 + 6 = 2

2(-4) = -8

1 - 7 - 31 = -39

-5 - 3 x 2 = -11

So now, we need to arrange them and this will be in ascending order from smallest to highest  and it will be: -39, -11, -8, -6, 2

Therefore, the ascending order of the expression is : -39, -11, -8, -6, 2.

Learn more about expressions from

https://brainly.com/question/1859113

#SPJ1

See correct question below

17. Arrange -9 +3, -4+6, 2(-4), 1-7-31, -5-3x2 in ascending order.

The measures of the corresponding inscribed angles, and then add those angles together to find the measure of angle L. Therefore, the measure of angle L is 64 degrees.

The Inscribed Angle Theorem states that the measure of an inscribed angle is half the measure of its intercepted arc. In other words, if we have an angle whose vertex is on the circumference of a circle, and whose sides intersect two points on the circumference, then the measure of the angle is half the measure of the arc between those two points.

In this problem, we are given the measures of two arcs, DR and SV, and we want to find the measure of angle L. We can start by using the Inscribed Angle Theorem to find the measures of the corresponding inscribed angles. Let's call these angles A and B, where A is the inscribed angle that intercepts arc DR, and B is the inscribed angle that intercepts arc SV.

Using the Inscribed Angle Theorem, we can find that m∠A=12m⌢DR=12(34∘)=17∘m∠B=12m⌢SV=12(94∘)=47∘

To find the measure of angle L, we simply add angles A and B together: m∠L=m∠A+m∠B=17∘+47∘=64∘

Therefore, the measure of angle L is 64 degrees.

Learn more about Measures:

brainly.com/question/2384956

#SPJ11

Answer:

for the first it's y=6x and for the second it's the last options she mad mutiplying error

Answer:

1.) y = 6x   2.) She made a multiplying error in the table.

Step-by-step explanation:

1.)

Let's find the slope:

m = 36 - 24 / 6 - 4

m = 12/2

m = 6

Therefore, y = 6x

2.)

Amanda's equation checks out. It seems her problem is her multiplying.

When the diameter is 18 inches, the volume of the fully inflated beach ball is 3052 cubic inches.

Volume is the quantity of space in a 3D object in arithmetic. A fish tank, for example, is 3 feet long, 1 foot wide, and 2 feet tall. To calculate the volume, multiply the length by the breadth by the height, which is 3x1x2, which is six. Volume is defined as the space occupied by an item inside the confines of three-dimensional space. It is also known as the object's capacity.

Here,

Diameter = 18 inches

We have to find the radius

Radius = Diameter/2

Radius = 18 inches/2

Radius = 9 inches

The volume of the beach ball = 4/3πr³

4/3*3.14*9³

= 3,052.08 cubic inches

Approximately to the nearest whole number = 3,052 cubic inches

The volume of the fully inflated beach ball is 3052 cubic inches when diameter is 18 inches.

To know more about volume,

https://brainly.com/question/28338582

#SPJ4

Fritz can drive home fast enough this evening to maintain his usual round-trip average speed.

To determine whether Fritz can drive home fast enough this evening to maintain his usual round-trip average speed, we need to consider the distance he needs to travel.

Let's assume the distance between his home and work is D miles.

Since Fritz commutes at an average speed of 20 miles per hour, the time it takes for him to drive to work is D/20 hours. This is the time he spends in the morning.

Now, this morning's heavy traffic reduced his speed to 15 miles per hour. Therefore, the time it took him to drive to work this morning was D/15 hours.

To maintain his usual round-trip average speed, the total time he spends on his commute needs to be the same for both trips. This means the time it takes him to drive back home in the evening should also be D/15 hours.

To determine whether he can drive home fast enough, we can set up an equation: D/15 = D/20.

To solve this equation, we can cross-multiply 20D = 15D.

Now, we can divide both sides of the equation by 15: 20D/15 = D.

Simplifying this, we find that D cancels out, leaving us with 20/15 = 4/3.

The conclusion is that Fritz can drive home fast enough this evening to maintain his usual round-trip average speed.
Fritz can drive home fast enough this evening to maintain his usual round-trip average speed.

To know more about distance, visit:

brainly.com/question/33716087

#SPJ11

Fritz will not be able to maintain his usual round-trip average speed if he drives home at a speed of 15 miles per hour.

In order to determine if Fritz can drive home fast enough to maintain his usual round-trip average speed, we need to calculate the distance of his commute and the time it takes him. Let's assume his commute distance is 40 miles (20 miles each way). When he commutes at 20 miles per hour, it takes him 2 hours to complete the round trip (40 miles / 20 miles per hour = 2 hours).

Therefore, Fritz will not be able to maintain his usual round-trip average speed if he drives home at a speed of 15 miles per hour.

Physics: Calculating average speed and determining if Fritz can maintain his usual round-trip average speed.

https://brainly.com/question/17661499

#SPJ12

Answer:

f(- 3) = - 14

Step-by-step explanation:

To evaluate f(- 3), substitute x = - 3 into f(x), that is

f(- 3) = 5(- 3) + 1 = - 15 + 1 = - 14