Given that →s is < 2,-6> and →t is <-10,7> , find the component form of →s + →t

The equation that relates the number of jars of jelly bean candies and the number of containers of caramel candies is 8/16 J + 40/16 c = 10.

The given parameters:

Weight of jelly bean can = 8 ounces

Weight of caramel candies, = 40 ounces

Amount of Jelly bean and caramel candies bought  = 10 pounds

Number of ounces in one pound = 16 ounces.

Therefore, the equation that relates the number of jars of jelly bean candies and the number of containers of caramel candies is 8/16 J + 40/16 c = 10.

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Yes, the given set of numbers can be the measures of the sides of a triangle. The triangle is obtuse.

By the triangle inequality theorem, the sum of the lengths of any two sides should be greater than the length of the third side.

4 + 12 > 14

12 + 14 > 4

14 + 4 > 12

Hence, these set of numbers can be the measures of the sides of a triangle.

According to the Pythagorean Inequality Theorem, a triangle whose sides measure a, b, and c where c is the largest, the triangle can be characterized as:

acute if [tex]c^{2} < a^{2} + b^{2}[/tex]

obtuse if  [tex]c^{2} > a^{2} + b^{2}[/tex]

right if  [tex]c^{2} = a^{2} + b^{2}[/tex]

∴The longest side is 14.

Hence, a = 4, b = 12 and c = 14;

Consider        [tex]a^{2} + b^{2}[/tex] :

[tex]= 4^{2} + 12^{2}[/tex]

= 160.

Now consider [tex]c^{2}[/tex] :

= [tex]14^{2}[/tex]

= 196.

Thus, [tex]c^{2} > a^{2} + b^{2}[/tex]

Hence, the triangle is obtuse.

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The value of the percent increase "p" is  12.28%.

Percent Increase can be calculated using the formula

Percent increase = (Amount increased/original amount) x 100

In the given question

Number of books sold on Monday = 57 books

Number of books sold on Tuesday = 64 books

Increase in number of books = books sold on Monday - books sold on Tuesday.

Substituting the values we get

Increase in number of books = 64-57 = 7

the percent increase = (7/57)x100

= 0.1228 x 100

= 12.28

Therefore , the value of the percent increase "p" is  12.28%.

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The difference of the polynomials, (p² + p - 8) - (-4p² - p + 3), is: D. 5p² + 2p - 11.

To find the difference of two polynomials, group like terms together after opening up the parentheses, then combine the like terms together.

Given the polynomials:

(p² + p - 8) - (-4p² - p + 3)

Apply the distributive property to eliminate the parentheses

p² + p - 8 -1(-4p²) -1(-p) -1(3)

p² + p - 8 + 4p² + p - 3

Group like terms

p² + 4p² + p + p - 8  - 3

Combine like terms

5p² + 2p - 11

Thus, the difference of the polynomials, (p² + p - 8) - (-4p² - p + 3), is: D. 5p² + 2p - 11.

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The best product of the model is 3 * 5/6

On the grid, we have the following parameters

The best product of the model is then represented as

Number of big rectangles * Shaded Sections/Total sections

So, we have

3 * 5/6

Hence, the best product of the model is 3 * 5/6

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The correct option is A. 1/18. Shannon has a 1/18 chance of being in the second P.E. class along with the first lunch.

Two events are considered independent if the happening of the one doesn't affect the likelihood of the happening of the other.

The mathematical model of event independence A and B is the probability of both A and B occurring becoming equal to the product of a probabilities of A & B.

Now, for the stated question;

Let the probability that the Shannon will get second P.E class is P(A) = 1/6.

Now, Let the probability that the Shannon will get first lunch is P(B) = 1/3.

Ad, both events are independent.

Thus, the intersection will be -

P (A∩B) = P(A).P(B)

P (A∩B) = 1/6×1/3

P (A∩B) = 1/18.

Therefore, the probability that Sharron will be in the second P.E. class and the first lunch is 1/18.

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Answer:

Since the radius is 18 then the answer would be 113.1...

C=2πr=2·π·18≈113.097

Step-by-step explanation:

Hope it helps! =D

Answer:

C = 108 units

Step-by-step explanation:

using C = πd ( with π = 3 and d = 36 )

C ≈ 3 × 36 = 108 units

Answer:The idea is to multiply by some number (10, 100, 1000, etc.) so that when we subtract the original number from the multiple, the repeating part cancels out. If we multiply by 10, we get 10x = 2

Step-by-step explanation: sorry if its wrong thats all i remember

Answer: 26 1/5 or Decimal Form: 26.2

Step-by-step explanation:

5^2-4/5 + 2

25 - 4/5 +2

131/5 = 26 1/5

The midpoint of AB has coordinates (9, -1.5), the gradient of line L is -3 and the point (100, -302) doesn't lie on L.

What is a coordinate?

Coordinates are numerical lengths or angles that uniquely identify locations on two-dimensional (2D) surfaces or in three-dimensional (3D) space (3D). Mathematicians, physicists, and engineers employ a variety of coordinate schemes.

(a) Given point A (5, -4) and point B (13, 1)

Therefore, midpoint of AB is [tex](\frac{x1+x2}{2},\frac{y1+y2}{2})[/tex]

                                          [tex]or,(\frac{5+13}{2},\frac{-4+1}{2})[/tex]

                                          [tex]or, (\frac{18}{2},\frac{-3}{2} )[/tex]

                                          [tex]or,(9, -1.5)[/tex]

(b) In the equation [tex]y=2-3x[/tex], -3 is the gradient of line L.  

(c) The point with coordinates (100, -302) doesn't lie on L as it doesn't satisfy the equation [tex]y=2-3x[/tex]

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Answer:

I think we're solving for A, so the answer would be 3

Step-by-step explanation:

Hope it helped

h= V/πr² is the formula for the volume of a cylinder, V= πr²h , solved for h.

⇒ V= πr²h

⇒ V/πr² = h

⇒ h= V/πr²

To solve linear equations, utilize the steps that are provided below.

Lets take an example of solve z for 7z – (3z – 4) = 12

Here is no multiplication or division, so this will be easy to solve

⇒ 7z – (3z – 4) = 12

⇒ 7z – 3z + 4 = 12

⇒ 4z = 12 – 4

⇒ 4z = 8

⇒ z = 8/4

⇒ z = 2

See, that was so simple, using the mentioned methods, every Linear equation can be solved easily.

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If the expression 16t² models the distance in feet that an object falls during the first t seconds after being dropped, then the distance of the object during 0.5 second is 4 feet

Given,

The expression model of the distance in feet that an object falls during the first t second after being dropped = [tex]16t^{2}[/tex]

Time = 0.5 second

Then the distance = [tex]16(0.5)^{2}[/tex]

=16×0.25

=4 feet

Hence, if the expression 16t² models the distance in feet that an object falls during the first t seconds after being dropped, then the distance of the object during 0.5 second is 4 feet.

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Answer:

$32

Step-by-step explanation:

1.20÷100×40=8

2.$40-$8=$32

A function's domain is the set of values ​​that can be put into the function. This set is the x-value of a function like f(x). In its simplest form, the domain includes all values ​​entering the function, and the range includes all values ​​output.

A function's range is the set of values ​​it takes on. This set is the values ​​that the function executes after inserting the x values. Those are the y-values.

The amount of money remaining is 25 on the phone card, and the value of m given is

M=25-0.15

25>=M>=0 (it is a 25 Dollar Phone Card)

25-0.15n>=0

N=<500/3

N>= 0

Their range and domain are

Range: 0=<N=<500/3

Domain: 0=<M=<25

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Step-by-step explanation:

there are many construction vids if you need a visual, but first off you need to a ruler, compass and protractor. draw a straight line horizontally, leave enough space above to add the length given as vertical side.

on the straight line choose a point preferably near centre and. place compass on the point and open to any distance, on the pencil side, draw a semi circle cutting the horizontal line at two points.

label the two points a and b

place compass on point and draw a smaller curve from that point above the center then do the same on other side

remember do not change the Size the compass was opened at for drawing the curves

the two new curves you drew should intersect, using ruler, draw a straight line vertically through intersection and center point

this line can be the required length given

you will notice an inverted T shape

the angle will be 90deg on either side, measure to ensure

10

40

15

PLEASE CORRECT ME IF I AM WRONG, AND TELL ME IF I AM RIGHT.

::::: Answer ::::::::::::::::::::::

Simplifying the Equation :

[tex]a = \frac{1}{2} \times 8 \times h[/tex]

  [tex]= \frac{8}{2} \times h[/tex]

  [tex]= 4 \times h[/tex]

  [tex]= 4 h[/tex]

Then

[tex]\text{if h = 6} \longrightarrow a=4\times 6=24[/tex]

[tex]\text{if h = 7} \longrightarrow a=4\times 7=28[/tex]

[tex]\text{if h = 8} \longrightarrow a=4\times 8=32[/tex]

[tex]\text{if h = 9} \longrightarrow a=4\times 9=36[/tex]

Step-by-step explanation:

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Evaluate each finite geometric series.

1/5 + 1/10 + 1/20 + 1/40 + 1/80=0.3875

What is the sum of a finite geometric series?

Given:

a=1/5

r=5/10 = 1/2

n=5

[tex]S_n=\frac{a(1-r^{n} )}{1-r} \\\\S_5=\frac{\frac{1}{5}(1-(\frac{1}{2}))^{5} }{1-\frac{1}{2} } \\\\S_5=\frac{1}{5} (\frac{31}{32} *\frac{2}{1}) \\\\S_5=\frac{1}{5} (\frac{31}{16} )\\\\S_5=0.3875[/tex]

What is a finite geometric series?

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The measurement of each angle is : m∠A = 108° , m∠B = 36° , m∠C = 36°.

In mathematics, an isosceles triangle is a triangle in which any of the two sides are equal. Or we can say that if a triangle has at least two sides of equal length then it is known as isosceles triangle. In geometry, isosceles triangle follow the property of congruency of triangles. That means in an isosceles triangle the two angles of equal sides are congruent to each other.

In the given question,

Let m∠B = m∠C = x  , where m denotes measure of angle

therefore, m∠A = 3x

According to Triangle Angle-Sum Theorem,

m∠A + m∠B + m∠C = 180

thus,

3x + x + x = 180

5x = 180

x = 36

Hence,

m∠A = 3x = 180

m∠B = 36°

m∠C = 36°

Therefore, the measure of each angle A , B and C is 180°, 36° and 36° respectively.

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Answer:

1/2(35-3(2-4)(5-8)

1/2(32(-2(-3))

1/2(32(-6))

1/2(192)

1into192/2

=96

Step-by-step explanation:

The formula for the height of a cylinder is h = V / (π.r²) and the height of a cylinder with a volume of 36 cm³ and a radius of 3 cm is  4/π cm

Given a cylinder with a radius r and height h, then its volume is given by the formula:

      V = π.r².h

Where:

V = volume

r = radius

h = height

To find the formula for the height, divide both sides by π.r²

V : π.r² = π.r².h : π.r²

or,

           h = V / (π.r²)

The given parameters are:

V = 36 cm³

r = 3 cm

Substitute those parameters into the formula:

h = 36 / (π.3²)

h = 36 / (9π)

h = 4/π cm

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The geometrical representation of y=3 as an equation in

a) one variable is y = 3

b) in two variables is 0x + y = 3.

Based on the information illustrated, the geometrical representation of y=3 as an equation in one variable is y = 3.

Also, the geometrical representation of y=3 as an equation in two variables is:

y = 3.

0x + y = 3

0x + y - 3 = 0

Therefore, y = 3.

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The distance traveled in each section will be 150 meters and 350 meters.

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

From a simultaneous equation for: A cyclist completes a journey of 500 m in 22 seconds, part of the way at 10m/s and the remainder at 50m/s.

Let x distance be covered with velocity 10 m/s in time t₁ and the remaining distance (500 - x) covered with velocity 50 m/s in time t₂. Then the equation will be

t₁ + t₂ = 22          ....1

Then the time t₁ will be

10 = x / t₁

t₁ = x / 10

Then the time t₂ will be

t₂ = (500 - x) / 50

Put the time in equation 1, then we have

x / 10 + (500 - x) / 50 = 22

5x + 500 - x = 1100

4x = 600

x = 150 meters

And the remaining distance will be

500 - x = 500 - 150

500 - x = 350 meters

The distance traveled in each section will be 150 meters and 350 meters.

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The equation of the line in point-slope form, which passes through the points located at (1 , 0) and (5 , 5), is y = 5/4(x - 1).

The equation of a line can be expressed in three different forms: standard form, slope-intercept form, and point-slope form.

The standard form of an equation of a line is expressed as ax + by = c, where a and b, if all possible must be integers, are the coefficients of variable x and y, respectively, and c is a constant. Meanwhile, slope-intercept form is given by the formula y = mx + b, where m is the slope of the line and b is the y- intercept. On the other hand, given the slope m and a point on the line (x , y), we can express the equation in point-slope form, (y - y1) = m(x - x1).

Getting the slope of the two points: (1 , 0) and (5 , 5).

m = (y2 - y1)/(x2 - x1)

m = (5 - 0)/(5 - 1)

m = 5/4

Using the point slope form, plug in the values of the slope and one point to set up the equation.

(y - y1) = m(x - x1)

where m = 5/4 and (x1 , y1) = (1 , 0)

(y - 0) = 5/4(x - 1)

y = 5/4(x - 1)

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The most commonly used explicit of an arithmetic sequence is given as,

an = a + (n - 1) d.

Each term in the sequence can easily be solved/computed without knowing the other terms in the sequence. Now by using the given information, we can say that,

First number a1 = 18

Tolerance d = 3

Now putting the values in the given formula, we will get,

an=a1+(n-1) d

=18+(n-1)3

=3n+15

20

= ∑ 3n+15

n = 1

Sn = ∑3n+15

=3∑n+15∑1

=3 n(n+1)/2+15n

Sn =3* 20(20+1)/2+15(20)

=30 (21) +300

=630+300

=930

Total Seats 930.

Now to find the number of seats on every five lines.

5 10 15 20

= ∑ 3n+15; ∑ 3n+15 ; ∑ 3n+15 ; Ticket price for each set. $55; $50; $45

= 120 * 60 + 195 * 55 + 270 * 50 + 345 * 45

= $46950

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