Find the distance from the point (-2, 1, 4) to the a. plane x = 3 b. plane y = -5 c. plane z = -1

it takes 0.1 second to do 3 meters

Given the movement of the ship, it can be respresented by the image below:

The distance from its starting point in a direct line is represented with x and can be calculated using Pythagoras Theorem as follow:

To get the hypotenuse, we have:

Hence, the ship is approximately 19.9km away from the starting point in a direct line.

Polygons A'B'C'D' are not described by the rem preimage. The initial form before a change is known as the preimage. The transformation in the example below involves both a rotation and a dilation.

When three or more line segments are connected to one another, a polygon is created, which is a closed, two-dimensional, plane shape. Most frequently, when learning about geometry, we run into polygons.

A closed two-dimensional figure with three or more straight lines is what a polygon is defined as in geometry. Poly means "many" and gon means "angle" in Greek, making up the word "Polygon." We are surrounded by a wide variety of polygons.

An illustration of this is the hexagonal shape of a honeycomb. Every polygon has a unique structure, and they are all divided into different groups according to how many sides they have and other factors. This means that all polygons are closed plane shapes.

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Answer:

Table 1(red)

Step-by-step explanation:

A proportional relationship will have a constant of proportionality between y and x all through the data given.

Constant of proportionality, k = y/x

Table 1 (red):

y/x = 5/1 = 10/2 = 20/4 = 5

k = 5 all through, therefore, this table show a proportional relationship between x and y

Table 2 (blue):

y/x = 1/6 ≠2/9 ≠ 4/15

This doesn't have a constant of proportionality, k, that is the same all through in the given table of values. Therefore, it doesn't show any proportional relationship between x and y

\(8^{3} \cdot 8^{-7} =8^{-4}=\boxed{\frac{1}{8^4}}\)

Answer:

Mr. A initially paid approximately N8000 for the land.

Step-by-step explanation:

Step 1: Let's assume Mr. A initially purchased the land for a certain amount, which we'll call "x" in currency units.

Step 2: Mr. A sold the land to Mr. B at a profit of 10%. This means Mr. A sold the land for 110% of the amount he paid (1 + 10/100 = 1.10). Therefore, Mr. A received 1.10x currency units from Mr. B.

Step 3: Mr. B sold the land to Mr. C at a gain of 5%. This means Mr. B sold the land for 105% of the amount he paid (1 + 5/100 = 1.05). Therefore, Mr. B received 1.05 * (1.10x) currency units from Mr. C.

Step 4: According to the given information, Mr. C paid N1240 more for the land than Mr. A paid. This means the difference between what Mr. C paid and what Mr. A paid is N1240. So we have the equation: 1.05 * (1.10x) - x = N1240

Step 5: Simplifying the equation: 1.155x - x = N1240

Step 6: Solving for x: 0.155x = N1240

x = N1240 / 0.155

x ≈ N8000

Therefore, in conclusion, Mr. A initially paid approximately N8000 for the land.

Answer:

The vertex is: (-3,-2)

The equation is x=-3

Step-by-step explanation:

The vertex is when the parabola is the lowest or highest point. Since the parabola is facing upward, we are looking for the lowest point. So, the vertex is (-3,-2). The equation for the lime of symmetry is just what x equals.

Write an example from daily life that uses rational numbers .

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Answer:

2nd no is corret

Step-by-step explanation:

as altitude is defined as a st. line meeting its base forming 90degree angle.

Answer:

I think the second answer, JH is an altitude of GJI, is the correct answer.

Step-by-step explanation:

Having JH be an altitude of GJI means that it makes a 90 degree angle. And to prove that it's a 90 degree angle we look at where it has the little squares. The squares represent 90 degrees.

Hope this helps!

The measure of the greatest angle in this pentagon is,

a = 88 degree

We have,

The measures of angles of a pentagon from an arithmetic sequence whose common difference is 10.

Let us assume that,

All the five angles of pentagon  whose common difference is 10 are,

⇒ a, a + 10, a + 20, a + 30, and a + 40

Sum of all the angles in pentagon = 540 degree

Hence, We get;

a + a + 10 + a + 20 + a + 30 + a + 40 = 540

5a + 100 = 540

5a = 540 - 100

5a = 440

Divide by 5,

a = 440 / 5

a = 88

Hence, the measure of the greatest angle in this pentagon is,

a = 88 degree

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Given:

The weight of 10 aluminum cans is 0.16 kilograms.

The aluminum in 10 cans that are recycled has a value of $0.14.

To find:

An equation to represent the number of cans c given their weight w.

Solution:

We have,

10 aluminum cans = 0.16 kilograms.

Divide both sides by 0.16.

\(\dfrac{10}{0.16}\) aluminum cans = 1 kilograms.

62.5 aluminum cans = 1 kilograms.

Let c be the number of cans and w be their weight.

1 kilograms = 62.5 aluminum cans

w kilograms = 62.5w aluminum cans

So, c = 62.5w.

Therefore, the required equation is c = 62.5w.

Answer:

150

Step-by-step explanation:

It is possible to use a relational operator and math operators in the same expression.

In programming, you can use relational operators (e.g., <, >, ==, !=) and math operators (e.g., +, -, *, /) together in the same expression. This is often used in conditional statements or loops to compare calculated values.

For example, consider the following expression:

`if (2 * 3) > (4 + 1)`

In this expression, we have math operators (*) and (+) and a relational operator (>). The math operations are evaluated first, resulting in:

`if (6) > (5)`

Then, the relational operator (>) is evaluated, and the expression becomes:

`if True`

The expression is true because 6 is greater than 5.

It is possible to use both relational operators and math operators in the same expression, which can be useful in various programming situations such as conditional statements or loops.

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Answer: 4.70

Step-by-step explanation:

Answer:

How may we help you?

Step-by-step explanation:

Answer:

a: -$4

b:45

Step-by-step explanation:

First, you just divide the total amount lost by the number of shares. because it is a loss it's going to be a negative number. For the second one, you want the total so you are going to multiply 45 by 9 and because it's an increase, the answer is a positive number.

\(\huge\text{Hey there!}\)

\(\huge\textsf{Question \#1 reads \boxed{\downarrow}}\)

\(\large\text{Ivanna owns \underline{6 shares} of a certain stock. Yesterday the total value of}\\\large\text{her shares went down by \underline{24 dollars}. \boxed{\text{What was the change in value}}}\\\large\text{\boxed{\text{for each share}} ?}\)

\(\huge\textsf{What should the equation look like?}\)

\(\mathsf{\dfrac{24}{6} = change\ in\ value\ for\ each \ share}}\)

\(\huge\textsf{How are we going to solve for the answer?}\)

\(\mathsf{\dfrac{24\ dollars}{6\ certain \ stock} = change\ in\ value\ for\ each \ share}}\)

\(\mathsf{24\ dollars \ \div\ 6\ certain\ stock\ = change\ in\ value\ for\ each \ share}\)

\(\mathsf{4 = change\ in\ value\ for\ each \ share}}\)

\(\huge\textsf{So, what s the answer to the question?}\)

\(\large\text{Therefore, your answer should be: \boxed{\mathsf{4\ dollars}}}\large\checkmark\)

\(\huge\textsf{Question \#2 reads \boxed{\downarrow}}\)

\(\large\text{A private club grew by \underline{9 members} each week for \underline{45 weeks}. \boxed{\text {What}}}\\\large\boxed{\text{was the total change in the clubs size}} \large\text{ ?}}\)

\(\huge\textsf{What should the equation look like?}\)

\(\mathsf{\dfrac{45\ weeks}{9\ members} = total\ change\ in \ the\ clubs \ size}\)

\(\huge\textsf{How are we going to solve for the answer?}\)

\(\mathsf{\dfrac{45\ weeks}{9\ members} = total\ change\ in \ the\ clubs \ size}\)

\(\mathsf{45\ weeks\ \div \ 9\ members = total\ change\ in\ the\ clubs\ size}\)

\(\mathsf{5 = total\ change\ in\ the\ clubs\ size}\)

\(\huge\textsf{So, what s the answer to the question?}\)
\(\large\text{Therefore, your answer should be: \boxed{\mathsf{5\ members}}}\large\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

5. An action or process of solving a problem

Thats all I can answer for u :D

Using Horner's algorithm P(4) = 946

Horner's algorithm is a fast and efficient way to evaluate a polynomial at a particular point. It involves using the distributive property of multiplication to rewrite a polynomial in a nested form, then evaluating the polynomial from the inside out.

Given that, p(z) = 3z⁵ - 7z⁴ - 5z³ + z² - 8z + 2

Using Horner's algorithm, we show the equation like:

p(z) = ((((3z - 7)z - 5)z + 1)z - 8)z +2

p(4) = ((((3*4 - 7)4 - 5)4 + 1)4 - 8)4 + 2

⇒ p(4) = ((((12 - 7)4 - 5)4 + 1)4 - 8)4 + 2

⇒ p(4) = (((5*4 - 5)4 + 1)4 - 8)4 + 2

⇒ p(4) = (((20 - 5)4 + 1)4 - 8)4 + 2

⇒ p(4) = ((15*4 + 1)4 - 8)4 + 2

⇒ p(4) = ((60 + 1)4 - 8)4 + 2

⇒ p(4) = (61*4 - 8)4 + 2

⇒ p(4) = (244 - 8)4 + 2

⇒ p(4) = 236*4 + 2

⇒ p(4) = 944 + 2

⇒ p(4) = 946

Finding the Taylor series expansion of p(z) about z0 = 4:

To find the Taylor series expansion of p(z) about z0 = 4, we need to compute the derivatives of p(z) at z0 = 4. First, we compute p'(z) = 6z^2 - 28z^3 - 10z^2 + 2z - 8, then p''(z) = 12z - 84z^2 - 20z + 2, p'''(z) = 12 - 168z - 20, and so on.

Using these derivatives, we can write the Taylor series expansion of p(z) about z0 = 4 as follows:

p(z) = p(4) + p'(4)(z - 4) + p''(4)(z - 4)^2/2! + p'''(4)(z - 4)^3/3! + ...

Substituting in the values we computed, we get:

p(z) = 946 + 10(z - 4) - 41(z - 4)^2/2! - 14(z - 4)^3/3! + ...

Therefore, the Taylor series expansion of p(z) about z0 = 4 is:

p(z) = 946 + 10(z - 4) - 20.5(z - 4)^2 - 2.333(z - 4)^3 + ...

Using Newton's method to find a root of p(z):

To use Newton's method to find a root of p(z), we start with an initial guess z0 = 4 and iterate the formula z1 = z0 - p(z0)/p'(z0) until we reach a desired level of accuracy.

We already computed p'(z) in part 2, so we can use the formula to compute z1 as follows:

z1 = z0 - p(z0)/p'(z0)

= 4 - (946 + 10(4) - 20.5(4 - 4)^2 - 2.333(4 - 4)^3)/[6(4)^4 - 28(4)^3 - 10(4)^2 + 2(4) - 8]

= 3.46874

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Answer:

vertical angles

Step-by-step explanation:

The surface area of the cuboid is 3.286 cm²

A cuboid is a solid shape or a three-dimensional shape.

Surface area is the amount of space covering the outside of a three-dimensional shape.

The surface area of a cuboid is expressed as;

SA = 2( lb + lh + bh)

length = 1 2/5 = 7/5

breadth = 5/8

height = 3/8

lb = 7/5 × 5/8 = 7/8

bh = 5/8 × 3/8 = 15/64

lh = 7/5 × 3/8 = 21/40

surface area =2( 7/8 + 15/64+21/40)

= 2( 0.875 + 0.234 + 0.525)

= 2( 1.634)

= 3.268 cm²

The surface area of the cuboid is 3.268 cm²

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Answer:

7+40i

Step-by-step explanation:

Hope this helps

Answer:

There are 12 red marbles

The value of v in the triangle is 15 degrees.

A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.

The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.

The exterior angle theorem is used to find the value of v.

Therefore,

31 + 4v + 44 = 9v

31 + 44 = 9v - 4v

75 = 5v

divide both sides by 5

v = 75 / 5

v = 15

Therefore,

v = 15

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Given the following functions:f(x) = 3x² − 4x + 1f(t) = (2t + 1) / (t + 3)  f(x) = √(1 - 2x)We need to find f'(a) which is the derivative of the function at x = a. We can find it using the derivative formulas of the functions given above.

First function:f(x) = 3x² − 4x + 1Let's find the derivative of the function: f'(x) = 6x - 4Now, f'(a) = 6a - 4.

Second function\(:f(t) = (2t + 1) / (t + 3\))We can find f'(t) using the quotient rule of differentiation:\(f'(t) = [ (2(t + 3)) - (2t + 1) ] / (t + 3)\)²Simplifying this expression, we get:f'(t) = -1 / (t + 3)²So, f'(a) = -1 / (a + 3)²

Third function:f(x) = √(1 - 2x)We can use the chain rule of  to find differentiation  f'(\(x):f'(x) = [ -2 / (2 √(1 - 2x)) ] (-1) = -1 / √(1 - 2x)\)Thus, f'\((a) = -1 / √(1 - 2a\)).Therefore, the value of f'(a) for each of the given functions is as follows:f\((x) = 6a - 4f(t) = -1 / (a + 3)²f(x) = -1 / √(1 - 2a)\)

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Answer: x^2+2x-8<0

Step-by-step explanation:

A. x^2 - 2x - 8 < 0

(x - 4)(x + 2) < 0

B. x^2 + 2x - 8 < 0

(x + 4)(x - 2) < 0

C. x^2 - 2x - 8 > 0

(x - 4)(x - 2) > 0

D. x^2 + 2x - 8 > 0

(x + 4)(x - 2) > 0

When you test a point in the interval between -4 and 2, for example 0, it is negative.

\(x^2+2x-8 < 0\) represents the given solution set.

A mathematical expression in which left hand side is not equal to right hand side is known as inequality.

The given solution set is x>-4 and x<2

Option A: \(x^2-2x-8 < 0\)

(x+2)(x-4)<0

x<-2 and x<4

Option B: \(x^2+2x-8 < 0\)

(x-2)(x+4)<0

x<-4 and x<2

Option C: \(x^2-2x-8 > 0\)

(x+2)(x-4)>0

x>4 and x>-2

Option D: \(x^2+2x-8 > 0\)

(x-2)(x+4)>0

x>-4 and x>2

Hence, \(x^2+2x-8 < 0\) represents the given solution set.

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Answer:

3 miles

Step-by-step explanation:

1/8*24=3

Answer:

Step-by-step explanation:

He ran 24 times around the track1

Circumfrence of track=1/8 Mile

Total distance he covered=1/8*24

Distance = 3 miles

Answer:

do you have options ?

Step-by-step explanation:

The value of z at the end of the procedure is 84.

The term procedure in math is defined as a sequence of mathematical operations carried out in order.

Here we have given that if x was 20 and y was 2.

And here we need to find the value of z.

Here let us consider the the equation of z can be written according to the theorem it can be written as,

=> z = 4x + y²

Here we know the values of x and y then the value of z is calculated as,

=> z  = 4(20) + 2²

When we simplify the equation, then we get,

=> z = 80 +  4

=> z = 84.

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An isosceles triangle has 2 equal sides and 2 equal angles

y = 15

To find x apply Pythagorean theorem:

c^2 = a^2 + b^2

where:

c= hypotenuse

a&b= the other two legs of the triangle:

x^2 = 15^2 + 15^2

x ^2 = 225 + 225

x^2 = 450

x = √450

x= 21.21

One given angle is a right angle (90°).

The sum of interior angles of a triangle is 180°.

90 + A + B = 180

A=B

90 +2A=180

2A= 180-90

2A=90

A=90/2

A=45

B= 45

A=45

B=45

x= 21.21°

y= 15

Answer:

no real number

Step-by-step explanation:

no square root of neg. num.

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