can u pls tell me the answers to the questions

the answer for this would be 20 percent

The following are the vector equations as a matrix equation.

(a)\(& \Rightarrow\left[\begin{array}{ccc}3 & 7 & -2 \\-2 & 3 & 1\end{array}\right]\left[\begin{array}{l}x_1 \\x_2 \\x_3\end{array}\right]=\left[\begin{array}{c}1 \\-1\end{array}\right]\)

\($A=\left[\begin{array}{ccc}3 & 7 & -2 \\ -2 & 3 & 1\end{array}\right]\) , \(x=\left[\begin{array}{l}x_1 \\ x_2 \\ x_3\end{array}\right]$\) \($b=\left[\begin{array}{c}1 \\ -1\end{array}\right]$\)

(b) \($\Rightarrow\left[\begin{array}{cc}3 & 5 \\ -2 & 0 \\ 8 & 9\end{array}\right]\left[\begin{array}{c}x_1 \\ x_2\end{array}\right]=\left[\begin{array}{c}2 \\ -3 \\ 8\end{array}\right]$\)

\($A=\left[\begin{array}{cc}3 & 5 \\ -2 & 0 \\ 8 & 9\end{array}\right]\), \(x = \left[\begin{array}{l}x_1 \\ x_2\end{array}\right]$\) \($b=\left[\begin{array}{c}2 \\ -3 \\ 8\end{array}\right]$\)

(c) \($\Rightarrow\left[\begin{array}{cc}3 & 5 \\ -2 & 0 \\ 8 & 9\end{array}\right]\left[\begin{array}{c}x_1 \\ x_2\end{array}\right]=\left[\begin{array}{c}2 \\ -3 \\ 8\end{array}\right]$\)

\($A=\left[\begin{array}{cc}3 & 5 \\ -2 & 0 \\ 8 & 9\end{array}\right]\), \(x = \left[\begin{array}{l}x_1 \\ x_2\end{array}\right]$\) \($b=\left[\begin{array}{c}2 \\ -3 \\ 8\end{array}\right]$\)

(d) \(& \Rightarrow\left[\begin{array}{ccc}1 & 1-2 & 1 \\0 & 2 & -8 \\-4 & 5 & 9\end{array}\right]\left[\begin{array}{l}x_1 \\x_2 \\x_3\end{array}\right]=\left[\begin{array}{c}0 \\8 \\-9\end{array}\right]\)

\(A=\left[\begin{array}{ccc}1 & 1-2 & 1 \\0 & 2 & -8 \\-4 & 5 & 9\end{array}\right], x=\left[\begin{array}{l}x_1 \\x_2 \\x_3\end{array}\right] x\) \(b=\left[\begin{array}{c}0 \\8 \\-9\end{array}\right] \\\)

As per the given data here we have to determine each of the following vector equations as a matrix equation.

That means we have write them in the form of matrix equation that is in the form of Ax = b

a)

\(3 x_1+7 x_2-2 x_3=1 \\\)

\(-2 x_1+3 x_2+1 x_3=-1\)

Write the equations in the matrix form

\(& \Rightarrow\left[\begin{array}{ccc}3 & 7 & -2 \\-2 & 3 & 1\end{array}\right]\left[\begin{array}{l}x_1 \\x_2 \\x_3\end{array}\right]=\left[\begin{array}{c}1 \\-1\end{array}\right]\)

This is in the form of  Ax = b .

Here, \($A=\left[\begin{array}{ccc}3 & 7 & -2 \\ -2 & 3 & 1\end{array}\right]\) , \(x=\left[\begin{array}{l}x_1 \\ x_2 \\ x_3\end{array}\right]$\) and \($b=\left[\begin{array}{c}1 \\ -1\end{array}\right]$\)

b)

\(& 3 x_1+5 x_2=2 \\\)

\(& -2 x_1+0 x_2=-3 \\\)

\(& 8 x_1+9 x_2=8\)

Write the equations in the matrix form

\($\Rightarrow\left[\begin{array}{cc}3 & 5 \\ -2 & 0 \\ 8 & 9\end{array}\right]\left[\begin{array}{c}x_1 \\ x_2\end{array}\right]=\left[\begin{array}{c}2 \\ -3 \\ 8\end{array}\right]$\)

This is in the form of Ax = b.

Here, \($A=\left[\begin{array}{cc}3 & 5 \\ -2 & 0 \\ 8 & 9\end{array}\right]\), \(x = \left[\begin{array}{l}x_1 \\ x_2\end{array}\right]$\) and \($b=\left[\begin{array}{c}2 \\ -3 \\ 8\end{array}\right]$\)

(c)

\(& x_1-3 x_2+5 x_3=1 \\\)

\(& -x_2+3 x_4=7 \\\)

\(& \Rightarrow 0 x_1-x_2+0 x_3+3 x_4=7 \\\)

Write the equations in the matrix form

\(& \Rightarrow\left[\begin{array}{llll}1 & -3 & 5 & 0 \\0 & -1 & 0 & 3\end{array}\right]\left[\begin{array}{l}x_1 \\x_2 \\x_3 \\x_4\end{array}\right]=\left[\begin{array}{l}1 \\7\end{array}\right]\)

This is in the form of Ax = b

Here, \(} A=\left[\begin{array}{llll}1 & -3 & 5 & 0 \\0 & -1 & 0 & 3\end{array}\right], x=\left[\begin{array}{l}x_1 \\x_2 \\x_3 \\x_4\end{array}\right]\) and \(b=\left[\begin{array}{l}1 \\7\end{array}\right] \\&\end{aligned}$$\)

d)

\(& x_1-2 x_2+x_3=0 \\\)

\(& 2 x_2-8 x_3=8 \\\)

\(& -4 x_1+5 x_2+9 x_3=-9 \\\)

Write the equations in the matrix form

\(& \Rightarrow\left[\begin{array}{ccc}1 & 1-2 & 1 \\0 & 2 & -8 \\-4 & 5 & 9\end{array}\right]\left[\begin{array}{l}x_1 \\x_2 \\x_3\end{array}\right]=\left[\begin{array}{c}0 \\8 \\-9\end{array}\right]\)

This is in the form of Ax = b

Here, \(A=\left[\begin{array}{ccc}1 & 1-2 & 1 \\0 & 2 & -8 \\-4 & 5 & 9\end{array}\right], x=\left[\begin{array}{l}x_1 \\x_2 \\x_3\end{array}\right] x\) and \(b=\left[\begin{array}{c}0 \\8 \\-9\end{array}\right] \\\)

Therefore all the vector equations are written as a matrix equations

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Answer:

14

Step-by-step explanation:

if z is 14 than z-2=12

because 14-2=12

Respuesta:

10.0 minutos

Explicación paso a paso:

Distancia total recorrida caminando de C a A pasando por T:

500 yardas + 700 yardas = 1200 yardas

Tiempo necesario para recorrer 200 yardas = 14 minutos

Caminando directamente de C a A:

La distancia se puede obtener usando una relación trigonométrica:

Hipotenusa = √ (opuesto² + adyacente²)

Hipotenusa = √500² + 700²

Hipoteno = 860.23252 yardas

Por eso ; Si

1200 yardas = 14 minutos

860.23252 yardas = x

Multiplicar en cruz:

1200x = 12043,255

x = 12043,255 / 1200

x = 10.036 minutos

El tiempo necesario para caminar directamente será: 10.0 minutos

Answer:

Step-by-step explanation:

Step 1. The point estimate is the difference between the the mean amount of mail-order purchases and the mean amount of internet purchases. It becomes

74.9 - 87.3 = - 12.4

Step 2. The formula for determining margin of error is expressed aa

Margin of error = z√(s1²/n1 + s2²/n2)

Where

z = z score

s1 = sample standard deviation for data 1

s2 = sample standard deviation for data 2

n1 = number of samples in group 1

n2 = number of samples in group 2

For a 95% confidence interval, the z score is 1.96

From the information given,

s1 = 21.75

n1 = 18

s2 = 19.75

n2 = 9

z√(s1²/n1 + s2²/n2) = 1.96√(21.75²/18 + 19.75²/9) = 1.96 × 8.343

= 16.35

Step 3. Confidence interval = (x1 - x2) ± z√(s²/n1 + s2²/n2)

95% Confidence interval = - 12.4 ± 16.35

The simplified version of the expression would be 31-w

The numerical part of the expression given is :

Simplifying using Subtraction operation:

Adding the alphabetical part :

Therefore, the simplified form of the expression is 31-w.

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Answer/Step-by-step explanation:

a. m<1 and m<6 are vertical angles, hence they are congruent.

Therefore, m<1 = m<6 = 142°

b. <2 and <6 form a linear pair.

Therefore, m<2 + m<6 = 180°

m<2 = 180° - 142° = 38°

c. <2 and <3 are interior angles of the same side of the transversal line, thus, they are supplementary.

Therefore:

m<2 + m<3 = 180°

m<3 = 180° - 38° = 142°

d. m<4 = m<2 = 38° (corresponding angles lying on the same side of the transversal line are equal)

e. m<5 = m<2 = 38° (vertical angles are equal)

f. m<7 = m<4 = 38° (vertical angles are equal)

g. m<8 = m<3 = 142° (vertical angles are equal)

The cost of the sweater is $ 30 and

1 dollar = 17 pesos, $ 25 = 425 pesos and $ 3 dollar = 51 pesos.

Mathematical Operations are activities or mathematical processes used to solve given problems. The most used mathematical activities are adding, subtracting, multiplying, and dividing.

The basic operations and their symbols are given below
Addition (+); Subtraction (-); Division (÷);  and Multiplication (x).  

Here we have

Priya exchanged 250 dollars for 4250 pesos  

[Here we used division and multiplication to solve the problem ]

Then the value of 1 dollar in pesos = \(\frac{4250}{250}\) = 17 pesos

⇒ 1 dollar = 17 pesos

⇒ 25 dollars = 25 × 17 = 425 pesos

⇒ 3 dollar = 3 × 17 = 51 pesos

Given the cost of the sweater = 510 pesos  

The cost of the sweater in pesos = \(\frac{250}{4250} \times510\) = 30

Therefore,

The cost of the sweater is $ 30 and

1 dollar = 17 pesos, $ 25 = 425 pesos and $ 3 dollar = 51 pesos

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Answer: 7

Step-by-step explanation:

Answer:22.05 I think its this one but if i'm wrong i'm really sorry

Answer:

A = $11; C = $7 tickets

Step-by-step explanation:

Using the given info, we can create a system of equations to find the price of adult and children tickets.

Thus, we have 5A + 7C = 104 and 7A + 3C = 98

The easiest method to solve would be elimination:

Answer:

Step-by-step explanation:

The sales on the two days can be expressed using equations that can be solved for ticket prices.

Let x and y represent the prices of adult and children's tickets, respectively. Then the sales revenue for the two days can be expressed in the equations ...

One of the easiest solution methods is to use a graphing calculator. The first attachment shows the prices are $11 for an adult ticket; $7 for children tickets.

Using the matrix functions of a calculator, the augmented matrix of the equation coefficients can be reduced to row-echelon form. This, too, shows the solution to be (adult price, children price) = ($11, $7). See the second attachment. (The solution is the right-most column of the reduced matrix.)

Yet another solution method can use the coefficients from the equations written in general form:

In this form, we define three products of "cross multiplication":

  Δ1 = (5)(3) -(7)(7) = -34

  Δ2 = (7)(-98) -(3)(-104) = -374

  Δ3 = (-104)(7) -(-98)(5) = -238

Using those, we find the variable values to be ...

  x = Δ2/Δ1 = -374/-34 = 11

  y = Δ3/Δ1 = -238/-34 = 7

(adult price, children price) = ($11, $7)

__

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Answer:

I think D

Step-by-step explanation:

The ground looks pretty smooth to me, plus D has more info

Also, is that math?

Because it doesn't look like math.

Answer:

D

Step-by-step explanation:

all the others don't make sense

I'll take my brainlets

Answer:

1/5

Step-by-step explanation:

just pretend 5 is 5/1 and then flip it, so 1/5

Option B

Hope it helps.

Do comment if you have any query.

The volume of the sphere is approximately 8181.510 cm³.

The volume of a sphere is the amount of space that is enclosed within the surface of a sphere.

It is a measure of the three-dimensional space that is contained within the sphere.

The volume of a sphere is used in a variety of fields, such as physics, engineering, and architecture, to calculate the space enclosed by a sphere or a spherical object, such as a planet or a ball.

The formula for the volume of a sphere is V = (4/3)πr³, where r is the radius of the sphere. Substituting r = 12.5 cm and π = 3.14, we get:

V = (4/3) × 3.14 × (12.5 cm)³

V ≈ 8181.51 cm³

The volume of the sphere is approximately 8181.510 cm³.

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Answer:

50 multiple times an

By completing the square, the vertex form of quadratic equation is (x - 1)² - 3.

In this question we find a quadratic equation in standard form, which must be modified into vertex form by completing the square, which consists in modifying part of the equation into a perfect square trinomial. The vertex form of the quadratic equation is:

y = C · (x - h)² + k

First, write the polynomial in standard form:

x² - 2 · x - 2

Second, use algebra properties to expand the expression:

(x² - 2 · x - 2) + 0

(x² - 2 · x - 2) + 3 - 3

(x² - 2 · x + 1) - 3

Third, use the definition of perfect square trinomial:

(x - 1)² - 3

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For the given triangles:

(1) x = 5.4

(2)  x  =  √23

(3) θ = 25.84 degree

(4)   x = 9.5

(5) n = 41

(1) In the given triangle,

One angle = 16 degree

Perpendicular = x

Hypotenuse    = 20

Since we know that

Sinθ = opposite side of θ/hypotenuse

Therefore,

⇒ sin 16 = x/20

⇒   0.27 = x/20

⇒         x = 5.4

(2)  In the given triangle,

Hypotenuse = 12 km

Base = 11 km

perpendicular = x

We know that the Pythagoras theorem for a right angled triangle:

⇒  (Hypotenuse)²= (Perpendicular)² + (Base)²

⇒ (12)²= (x)² + (11)²

⇒ 144 = (x)² + 121

⇒   x² =  23

Taking square root both sides we get,

Hence,

⇒   x  =  √23

(3) In the given,

Base = 20

Perpendicular = 42

We know that the Pythagoras theorem for a right angled triangle:

⇒  (Hypotenuse)²= (Perpendicular)² + (Base)²

⇒ (Hypotenuse)² =  (42)² + (20)²

⇒ (Hypotenuse)² =  2164

Taking square root both sides,

⇒ (Hypotenuse)  = 46.51

⇒ cosθ = Adjacent/hypotenuse

             = 42/46.51

             = 0.90

Taking inverse of cosθ,

⇒ θ = 25.84 degree

(4) In the given triangle,

One angle = 30 degree

Base = x

Hypotenuse    = 11

Since we know that

cosθ = Adjacent/hypotenuse

Therefore,

⇒ cos 30  = x/11

⇒   √3/2 = x/11

⇒         x = 9.5

(4) In the given triangle,

Base = 40

Perpendicular = 9

Hypotenuse = n

We know that the Pythagoras theorem for a right angled triangle:

⇒  (Hypotenuse)²= (Perpendicular)² + (Base)²

⇒  n² = 9² + 40²

⇒  n² = 81 + 1600

⇒  n² = 1681

⇒  n = 41

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Answer:

d=9.899495 or √98

Step-by-step explanation:

√(7-0)^2 + (2-(-5))^2

√(7)^2+(7)^2

√98

The surface area of the box increases by 27.4 cm² when the height is increased by 0.2 cm.

To find the increase in surface area, we first need to calculate the initial surface area of the box and then calculate the surface area after increasing the height.

The formula for the surface area of a rectangular prism is given by:

Surface Area = 2*(length width + length height + width*height)

Initial Surface Area:

Length (L) = 13 cm

Width (W) = 8.7 cm

Height (H) = 28 cm

Initial Surface Area = 2*(138.7 + 1328 + 8.7*28)

Next, we calculate the new surface area after increasing the height by 0.2 cm. The new height is:

New Height = Initial Height + Increase in Height = 28 cm + 0.2 cm

New Surface Area = 2*(138.7 + 13(28+0.2) + 8.7*(28+0.2))

To find the increase in surface area, we subtract the initial surface area from the new surface area:

Increase in Surface Area = New Surface Area - Initial Surface Area

Let's calculate the values:

Initial Surface Area = 2*(138.7 + 1328 + 8.728) = 2(113.1 + 364 + 243.6) = 2*(720.7) = 1441.4 cm²

New Surface Area = 2*(138.7 + 13(28+0.2) + 8.7*(28+0.2)) = 2*(113.1 + 377.2 + 244.1) = 2*(734.4) = 1468.8 cm²

Increase in Surface Area = New Surface Area - Initial Surface Area = 1468.8 cm² - 1441.4 cm² = 27.4 cm²

Therefore, the surface area of the box increases by 27.4 cm² when the height is increased by 0.2 cm.

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The coordinates of the intersection with the x-axis are (-2,0), and (4, 0) and the maximum point is (1,9).

What are the coordinates of the axis?

A Cartesian coordinate system in a plane is a system of coordinates that uniquely identifies each point by a pair of numerical coordinates. These numerical coordinates are the signed distances from two fixed perpendicular oriented lines to the point, measured in the same unit of length.

We have,

The graph shows the sketch of y=f(x).

The graph passes through the points (-2,0), (0,8), (4, 0), and (1,9).

The coordinates of the intersection with the x-axis are

(-2,0), and (4, 0).

The maximum point is (1,9).

Hence, the coordinates of the intersection with the x-axis are

(-2,0), and (4, 0) and the maximum point is (1,9).

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Answer:  D

Step-by-step explanation: -135

Answer:

Total money: $348.26

Step-by-step explanation:

Paige: $49.75

Nevaeh: 2.5*$49.75

Naomi: 3.5*$49.75

2.5*49.75 = 124.38

3.5*49.75 = 174.13

(I rounded the cents up.)

124.38

174.13

+49.75

$348.26

Hope this helps!! Have an awesome day C:

Applying system of equations, the cost of each is: $2.25 per chair and $8.5 per table.

Using a system of equations we can find the cost of rent for each chair and table.

Let, x = chair

y = table.

Therefore, we will have the following system that represents the situation:

2x + 3y = 30 --> eqn. 1

4x + 8y = 77 --> eqn. 2

Multiply eqn. 1 by 4 and eqn. 2 by 2:

8x + 12y = 120 --> eqn. 1

8x + 16y = 154 --> eqn. 2

Subtract equation 2 from 1:

-4y = -34

y = 8.5 [the table cost $8.5 per one]

Substitute y = 8.5 into equation 1:

2x + 3(8.5) = 30

2x = 30 - 25.5

2x = 4.5

x = 4.5/2

x = 2.25 [each chair cost $2.25]

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Answer:

2800 ft^2

Step-by-step explanation:

Factor out 1/n⁴, and distribute the sum over each term:

\(\displaystyle\sum_{i=1}^n\frac{2i^3-3i}{n^4}=\frac1{n^4}\sum_{i=1}^n(2i^3-3i)\)

\(\displaystyle\sum_{i=1}^n\frac{2i^3-3i}{n^4}=\frac2{n^4}\sum_{i=1}^ni^3-\frac3{n^4}\sum_{i=1}^ni\)

Recall the following formulas:

\(\displaystyle\sum_{i=1}^ni=\frac{n(n+1)}2\)

\(\displaystyle\sum_{i=1}^ni^3=\frac{n^2(n+1)^2}4\)

So we have

\(\displaystyle\sum_{i=1}^n\frac{2i^3-3i}{n^4}=\frac{n^2(n+1)^2}{2n^4}-\frac{3n(n+1)}{2n^4}=\boxed{\dfrac{(n+1)(n^2+n-3)}{2n^3}}\)

The transformations for each function are given as follows:

1) Vertical compression by a factor of 5.

2) Vertical compression by a factor of 5 and a reflection over the x-axis.

The parent function for this problem is given as follows:

f(x) = 1/x.

For item 1, we have that x was multiplied by five, as the multiplication was in the domain, the transformation was a vertical compression by a factor of 5.

For item 1, along with the multiplication of x by 5, the function was also multiplied by -1, meaning that the function was reflected over the x-axis.

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Answer:

Step-by-step explanation:

The height of the triangle is, 22 units.

WE know that triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that the area of a triangle is 154 square inches. The base is 14 inches.

Now, We get;

Base = 14 units

Height =h units

We know that;

Area of triangle = 1/2 x base x height

                 154       = 1/2 x 14 x h

              h = 154 / 7

              h = 22

Thus, The height is, 22 units.

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