Celeste wants to have her hair cut and permed and also go to lunch. She knows she will need 86$. The perm cost twice as mucho as her haircut and she need 5 for lunch

Unit vector along the direction v = <3,1,-4> is :

\(\hat{v} = \dfrac{3i + j -4k}{\sqrt{3^2 + 1^2 + 4^2}}\\\\\hat{v} = \dfrac{3i + j -4k}{5.1}\)

So, unit vector opposing the \(\hat{v}\) is :

\(\hat{v'} = -\hat{v}\\\\\hat{v'} = -( \dfrac{3i + j -4k}{5.1})\\\\\hat{v'} = \dfrac{-3i - j +4k}{5.1}\)

so, vector of magnitude 3 units in opposite direction from v is :

\(\vec{V} = 3\hat{v'}\\\\\vec{V} = \dfrac{3}{5.1}( -3i -j+4k)\)

Hence, this is the required solution.

Answer: 12 x 6

Step-by-step explanation:

36/2=18

3x=18

x equal 6

6x2=12 as it is two times

The equation of the possible way to begin solving for x is 2/5x - 7/20x = 3/4 - 1/2

From the question, we have the following parameters that can be used in our computation:

-3/4 + 2/5x = 7/20x -1/2

The first step is to collect the like terms

So, we have

2/5x - 7/20x = 3/4 - 1/2

This represents an equation of the possible way to begin solving for x

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Answer:

-42

Step-by-step explanation:

Assuming you want the dot product,

(8)(-6)+(2)(3)= -42

The new dimension of the photocopy will be 9.6 units by 12 units.

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.

There is no effect of dilation on the angle.

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio.

If an 8 by 10 photocopy is enlarged to 120% of its size.

Then the new dimension of the photocopy will be

The new length will be

Length = 1.2 x 10

Length = 12 units

The new width will be

Width = 1.2 x 8

Width = 9.6 units

Thus, the new dimension of the photocopy will be 9.6 units by 12 units.

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Answer:

true

Step-by-step explanation:

Answer:

pay all of his salaries ijfd jddu. dyj. fhkbdd yfgjjddd

Answer:

Step-by-step explanation:

1)Gross Yearly Income = Hourly Wage × Hours per Week × Weeks in a Year

Gross Yearly Income = $15/hour × 40 hours/week × 52 weeks/year

Gross Yearly Income = $31,200

2)Gross Monthly Income = Gross Yearly Income / Months in a Year

Gross Monthly Income = $31,200 / 12 months

Gross Monthly Income ≈ $2,600

The relative frequency of the pitcher throwing exactly 4 pitches in an at-bat is given as follows:

3/20.

A relative frequency is calculated as the division of the number of desired outcomes by the number of total outcomes.

The total number of at bats in this problem is given as follows:

80.

In 12 of them, the pitcher threw exactly four pitches, hence the relative frequency of the pitcher throwing exactly 4 pitches in an at-bat is given as follows:

12/80 = 3/20.

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Answer:

he needs 500 cm of ribbon

Step-by-step explanation:

pieces cut =10

size of pieces = 50 cm each .

50 × 10 = 500 answers

Answer:

Formula for

the perimeter of square = 4side     eq 1

area of square = (side)²                eq2

Step-by-step explanation:

1 2m 10 cm  ( 210cm)

the perimeter of this square = 4 × side

                                                  4× 210cm = 840 cm (8m40cm)

the area of this square  = side ×side

                                     210 cm ×210 cm = 44100 cm square

                                                                 or 4.41 meter square

1 side 5 m

the perimeter of this square = 4 × side

                                                  4×5m=20m

the area of this square  = side ×side

                                          5m×5m=25meter square

(i) 4.2 cm​

the perimeter of this square = 4 × side = 4×4.2cm=16.8cm

the area of this square  = side ×side= 4.2 cm ×4.2cm = 17.64 cm square

(iv) 250 mm

the perimeter of this square = 4 × side = 4×250mm =1000mm

the area of this square  = side ×side=  250mm ×250mm =62500 mm sq.

Answer:

9

Step-by-step explanation:

if that v is root symbol

Answer:

The  probability is  \(P(12.7 < x < 16.8 ) = 0.45\)

Step-by-step explanation:

From the question we are told that

The completion times for a job task range from 10.1 minutes to 19.2 minutes

Generally given that the completion times is uniformly distributed then  the probability that it will require between 12.7 and 16.8 minutes is mathematically represented as

         \(P(12.7 < x < 16.8 ) = \frac{ 16.8 - 12.7}{ 19.2 - 10.1 }\)

          \(P(12.7 < x < 16.8 ) = 0.45\)

Answer:

75 rupees in net profit

Step-by-step explanation:

Loss indicates subtraction, and profit indicates addition

300-150-200+50+75=75

Humanity would achieve a life expectancy of 110 years in approximately 60 years.

To calculate the number of years it would take for humanity to achieve a life expectancy of 110 years, we need to determine the number of decades required to reach this goal based on the given rate of increase.

In 2009, the life expectancy was about 80 years. From that point, we need to calculate the difference between the current life expectancy and the target life expectancy of 110 years.

110 years - 80 years = 30 years

Since the rate of increase is 5.3 years every decade, we can divide the difference by the rate to determine the number of decades required:

30 years / 5.3 years per decade ≈ 5.66 decades

Since we can't have a fraction of a decade, we need to round up to the nearest whole number. Therefore, it would take approximately 6 decades for humanity to achieve a life expectancy of 110 years.

To calculate the number of years, we multiply the number of decades by 10:

6 decades * 10 years per decade = 60 years

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The ball hits the ground at a time of 1.433 seconds.

In this problem we have the case of a ball that experiments a free fall, that is, an uniform accelerated motion due to gravity. The position of the ball in time is described by a quadratic equation:

y = y' + v' · t + 0.5 · g · t²

Where:

If we know that y' = 3 m, v' = 5 m / s, g = - 9.807 m / s², y = 0 m, then the time of the ball until it hits the ground is:

0 = 3 + 5 · t - 4.904 · t²

Then, by the quadratic formula:

t = - v' / g ± (1 / g) · √[v'² - 2 · g · y']

t = - 5 / (- 9.807) ± [1 / (- 9.807)] · [5² - 2 · (- 9.807) · 3]

t₁ = 1.433 s. or t₂ = - 0.424 s.

The hitting time of the ball is 1.433 seconds.

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The composite function f·g(x) is 4x⁴+24x³.

The given functions are f(x)=x²+6x and g(x)=4x².

We need to find f·g(x).

We know that, f·g(x)=f(x)×g(x)

Here, f·g(x)=(x²+6x)×4x²

= x²×4x²+6x×4x²

= 4x⁴+24x³

Therefore, the composite function f·g(x) is 4x⁴+24x³.

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Answer

3 grams of the medication = 46.296 grains

Explanation

We are asked to convert 3 grams of medication into grains

1 gram = 15.432 grains

3 grams = 3 × 15.432 = 46.296 grains

Hope this Helps!!!3 grams

Answer:

B

Step-by-step explanation:

The equation in slope-intercept form is: B. y = -3x/2 + 5/2.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + b

Where:

Based on the information provided about this line, a linear equation that models it is given by;

y = mx + b

3x + 2y = 5

By making y the subject of formula, we have the following:

2y = -3x + 5

2y/2 = -3x/2 + 5/2

y = -3x/2 + 5/2

Therefore, the y-intercept is 5/2 and the slope is -3/2. So, the correct answer option is: B. y = -3x/2 + 5/2.

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Answer:

60 ft²

Step-by-step explanation:

ΔABC ≅ ΔDEF

and sides are 8 ft, 15 ft, 17 ft

Area of both triangles will be same as well as any cross section parallel to them and is half the product of legs of right triangle:

The perimeter of a rectangle is given by:

We are provided with the following:

We could talk about its length y in terms of x, as shown below:

The possibles values of x are:

The possible values of y are:

The value of x is 50 and FTD = 130°

Both of the angles in the diagram must have the same measure because are vertical, then:

3x - 20 = 2x + 30

3x - 2x = 30 + 20

x = 50

That is the value of x.

And we can see that FTD = 2x + 30 = 2*50  + 30 = 130

That is the measure.

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Answer:

Step-by-step explanation:

The milepost number of the rest area is 7 miles away from milepost 58, so it can be represented by the equation:

m = 58 + 7

This equation states that the milepost number of the rest area is equal to 58 plus 7, or 65. Therefore, the rest area can be located at milepost 65.

When a cube's top is chopped off to create a rectangular box, the original cube's side length is 5.43 feet as a result.

A rectangular is a square with four right angles in Euclidean geometry and trigonometry. You may also speak to it as an equiangular tetra, meaning that all of its edges are equal. A straight angle could also be found in the parallelogram. Rectangles with four evenly sized sides are called squares. Four 90 ° vertices and equal equal sides make up a quadrant with the look of a rectangle. As a basis, it's also known as a raster images rectangle. A rectangle is also referred to as a trapezoidal since its opposite angles are equal but parallel.

given

Let x represent the cube's edge in feet.

Cube volume equals side 3

Hence, the given cube's volume,

The top of a cube is now chopped off in a 4 foot thick chunk.

The slice's volume is equal to x x x 4 = 4x2 ft2.

The volume of the final figure is therefore equal to the sum of the volumes of the cut and cube figures.

= ( x³ - 4x² ) ft²

The answer to the query is

Finding the zeros of the function will lead to the discovery of the solution to the aforementioned equation ( by graphing ),

We discovered that

The equation's graph crosses x at (5.426,0)

Hence, 5.426 is the equation's zero.

⇒ x = 5.426 ≈ 5.43

When a cube's top is chopped off to create a rectangular box, the original cube's side length is 5.43 feet as a result.

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Therefore, sin θ = 4/5, csc θ = 5/4, and cot θ = -3/4 using trigonometric ratio.

We know that the point (-3, 4) is on the terminal side of the angle θ, and we can use the Pythagorean theorem to find the value of the hypotenuse:

r² = x² + y²

r² = (-3)² + 4²

r² = 9 + 16

r² = 25

r = 5

Now we can find the values of sin θ, csc θ, and cot θ:

sin θ = y/r = 4/5

csc θ = r/y = 5/4

cot θ = x/y = -3/4

Therefore, sin θ = 4/5, csc θ = 5/4, and cot θ = -3/4.

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Answer: B

Step-by-step explanation:

B:2

1. Triangle ABC with the vertices, A(0, 2), B(6, 4), and C(4, -2) is drawn and attached below.

2. The midsegment is EF. This is verified using the triangle midsegment theorem which states that EF = 1/2(AC).

The midsegment of a triangle is the line segment that joins the midpoints of two sides of a triangle together. Every triangle typically has three midsegments.

According to the triangle midsegment theorem, the length of the midsegment is half the length of the third side of the triangle that it is parallel to.

The midpoint of a line is its middle, which can be calculate using the formula:

M(x, y) = \((\frac{x_2 - x_1}{2}, \frac{y_2 - y_1}{2})\).

1. The coordinate of the three vertices that is used to draw a triangle are:

A(0, 2), B(6, 4), and C(4, -2).

The triangle is in the attachment below.

2. To plot the midsegment of the triangle, determine the midpoints of AB and BC, then plot the coordinate where both midpoints would be joined.

Midpoint of AB = (x, y) = (0+6)/2, (2+4)/2

= (6/2, 6/2)

= (3, 3) (let this be point E)

Midpoint of AB = (x, y) = (4+6)/2, (−2+4)/2

F = (5, 1)

The midsegment will have the endpoints, E(3, 3) and F(5, 1).

To verify the segment draw is the midsegment according to the triangle midsegment theorem, find the length of the midsegment, EF, and the length of the third side, AC using the distance formula, d = \(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\).

EF = √[(5−3)² + (1−3)²]

EF = √8 units

AC = √[(4−0)² + (−2−2)²]

AC = √32 units

Based on the triangle midsegment theorem:

EF = 1/2(AC)

Plug in the values:

√8 = 1/2(√32)

√8 = 1/2(4√2)

√8 = 2√2

2√2 = 2√2 (true)

This means that EF is a midsegment of triangle ABC.

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Answer:

value added tax rate = Y/X

Step-by-step explanation:

Sales price x value added tax rate = value added tax

X x value added tax rate = Y

value added tax rate = Y/X