4.27(.7)=
And
4.23 x .06 =

Answers

Answer 1

Answer:3.2

Step-by-step explanation:


Related Questions

Line l Intersects line m. Find the value of a,b, x. Give reasons

Answers

The angles in the intersected lines are as follows:

a = 80 degreesb = 80 degreesx = 92 degrees

How to find angles when lines intersect?

When lines intersect angle relationships are formed such as vertically opposite angles, linear angles etc.

Angle a is vertically opposite to angle b.

Vertically opposite angles are congruent.

Therefore,

∠a ≅ ∠b

Hence,

x + 8 = 100(vertically opposite angles)

x = 100 - 8

x = 92

b + x + 8 = 180(sum of angles on a straight line)

b + 92 + 8 = 180

b = 180 - 100

b = 80 degrees.

Hence,

a = 80 degrees

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What is the domain of this relation?

Answers

The domain of the relation is {-9, 1, 3, 8, 9}

What is the domain of a function?

All the values that go into a relation or a function are called the domain.

Given is a relation, (-3, -7), (8, -7), (1, 10), (-9, -8) and (9, -6)

The domain of a function or relation is the set of all possible independent values the relation can take.

Hence, the domain of the relation is {-9, 1, 3, 8, 9}

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due now pls help mee!!!!!!

Answers

Answer:

(-2,-4)

Step-by-step explanation:

3x+2=-2x-8

+2x.    +2x

5x+2=-8

   -2. -2

5x=-10

/5.  /5

x= -2

y=3(-2)+2

y=-6+2

y= -4

(-2,-4)

Hopes this helps please mark brainliest

Write an equation of the line that passes through (−5, −2) and is parallel to y=2/3x+1.

Answers

Answer:

[tex]y=\frac{2}{3}x+1\frac{1}{3}[/tex]

Step-by-step explanation:

when a line is parallel the slope is the same for both

y=mx+b is slope intercept form where m is slope and b is intercept

we know the slope is 2/3 so to find b we just fill it in with coordinates

-2=2/3(-5)+b

-2=-10/3+b

+10/3 +10/3

4/3=b

y=2/3x+4/3

hopes this helps please mark brainliest

7(x-1)=3x+2 in a improper fraction

Answers

Answer:x=9/4 nine over 4 for improper fraction I hope this is helpful mark me brainlist if this sounds good

Step-by-step explanation:

7(x-1)=3x+2

Distribute through the parentheses

7x-7=3x+2

Move the variable to the left-hand side and change its sign

7x-7-3x=2

or Move the constant to the right-hand side and change its sign

7x-7-3x=2

Collect like terms

4x=2+7

And then Add the numbers

4x=9

Divide both sides of the equation by 4

x=9/4

Mixed number is 2 1/4

NEED HELP ASAP!! 50 POINTS!!

A landscape artist plans to draw a pair of mountains, so he takes some measurements and draws the figure below. Find the measurement of x, y, and z. Explain your reasoning and show your work. (Picture below)

Answers

The measurement of the angles x, y, and z of the given triangles are;

x = 88°, y = 55° and z = 37°

How to find the angles in a triangle?

We know that;

The sum of interior angles of any triangle is equal to 180 degree.

The sum of angles on a straight line is 180 degrees.

Thus;

x + y + z = 180°

Now, from the given diagram, we can see two pairs of parallel lines. This means that there will be some corresponding angles.

Thus;

y is a corresponding angle to 55° and as such we can say that;

y = 55°

Similarly, z° is a corresponding angle to 37° and as such we can say that;

z = 37°

Thus;

x + 55 + 37 = 180

x + 92 = 180

x = 180 - 92

x = 88°

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If you are given the graph of h (x) = log Subscript 6 Baseline x, how could you graph m (x) = log Subscript 6 Baseline (x + 3)?
Translate each point of the graph of h(x) 3 units up.
Translate each point of the graph of h(x) 3 units down.
Translate each point of the graph of h(x) 3 units right.
Translate each point of the graph of h(x) 3 units left.

Answers

Answer:

D) Translate each point of the graph of h(x) 3 units left

----------------------------

If the given function is f(x), then rules of translation by b units are:

Translation up or down by b units is reflected as f(x) + b, or f(x) - b.Translation left is given as f(x + b), translation right is given as f(x - b).

Our function and its image are:

h(x) = log₆ (x)  m(x) = log₆ (x + 3)

Therefore we have translation left by 3 units.

Correct choice is D.

Answer:

Translate each point of the graph of h(x) 3 units left.

Step-by-step explanation:

Translations

For a > 0

[tex]f(x+a) \implies f(x) \: \textsf{translated $a$ units left}.[/tex]

[tex]f(x-a) \implies f(x) \: \textsf{translated $a$ units right}.[/tex]

[tex]f(x)+a \implies f(x) \: \textsf{translated $a$ units up}.[/tex]

[tex]f(x)-a \implies f(x) \: \textsf{translated $a$ units down}.[/tex]

Given functions:

[tex]h(x)= \log_6 x[/tex]

[tex]m(x)= \log_6(x+3)[/tex]

As m(x) = h(x+3),  to graph the function m(x), translate the function h(x) 3 units left.

Please explain how you got the answer TYSM

Answers

The statement about the original and transformed triangles that must be true is The triangles are congruent.

What is the significance of the triangles being congruent?

Triangles are congruent when they have the same size and shape but face opposite directions. Triangles do not change size or shape as a result of translation and rotation.

This means that if a triangle is translated and then reflected, the result will still be congruent with the first triangle. If all three corresponding sides are equal and all three corresponding angles are equal in measure, two triangles are said to be congruent. These triangles can be moved, rotated, flipped, and turned to look exactly the same. So two triangles are congruent if all of their sides are the same—side, side, side.

In conclusion, the correct option is B.

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26. A store offers a 20% discount to new customers. If the original price of an item is p dollars,
which two expressions represent the price of the item purchased after the discount is applied?

Answers

The two expressions that represent the price of the item purchased after the discount is applied will be 1.2p and p + 0.2p

What will the expression be?

From the information, store offers a 20% discount to new customers. If the original price of an item is p dollars,

Let the original price = p

The new cost will be:

= p + (20% × p)

= p + 0.2p

= 1.2p

Therefore, the expression will be 1.2p.

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I need help i don't get this

Answers

Domains are your X coordinates and Ranges are your Y coordinates.

The graph represents the money collected at the movie theater on Saturday. Find the domain when the maximum number of people allowed in the movie theater is 60 people.

graph of y equals 2 times x plus 40 with x axis labeled Number of People and y axis labeled Amount of Money

Answers

The domain when the maximum number of people allowed in the movie theater is 60 people would be: B. 0 ≤ x ≤ 60.

What is a domain?

In Mathematics, a domain can be defined as the set of all real numbers for which a particular function or relation is defined. This ultimately implies that, a domain is the set of all possible input values (x-values) for a function while a range is the set of all possible output values (y-values) of a function.

Since the maximum number of people that are allowed in the movie theater is 60 people, we can logically deduce that the input values (x-values) for its function is less than or equal to 60. Therefore, the domain of the function on this graph is given by:

Domain = [0, 60]

Domain = 0 ≤ x ≤ 60.

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Complete Question:

The graph represents the money collected at the movie theater on Saturday. Find the domain when the maximum number of people allowed in the movie theater is 60 people.

40 ≤ y ≤ 160

0 ≤ x ≤ 60

40 ≤ x ≤ 160

0 ≤ y ≤ 60

Answer:

the answer is 0 is less than or equal to x which is less than or equal to 60

Step-by-step explanation:

Domain is the x value

Since the max amount of people is 60, and people is x value the answer i put above is a reasonable domain.

Hope this helps!

Recycling a ton of glass saves the equivalent of nine gallons of fuel oil. The Avery Farm fills their 100-gallon fuel oil tank twice during the winter months. Is it reasonable to say that the farm’s glass recycling could pay for their fuel oil costs? Explain your answer.

Please help me

Answers

Yes it is reasonable to save that the farm’s glass recycling could pay for their fuel oil.

What is recycling?

Recycling is the process of turning trash into new products and materials. This idea frequently takes the recovery of energy from waste materials into account. The capacity of a substance to regain the qualities it had in its initial state determines how recyclable it is.

Both the environment and your community may benefit from recycling. It protects natural resources, minimizes greenhouse gas emissions, cleans up the air and water, and conserves energy.

In this question, there is a benefit to recycling. That is, the farm would be able to save more fuel. Hence it pays for the costs of fuel.

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Rick rents a car from a company that charges him $25 per day plus 10 cents per mile driven. Which expression can represent the amount he owned on resent retal.

Answers

The expression that can be use to represent the amount owned on rental is 0.1x + 25y

How to find the expression that represent the amount?

Rick rents a car from a company that charges him $25 per day plus 10 cents per mile driven.

The expression that can be use to represent the amount owned on rental can be represented as follows:

let

x = number of miles driven

y = number of days

Let's convert cent to dollars

100 cents  = 1 dollars

10 cents = ?

cross multiply

amount in dollars = 10 / 100 = 0.1 dollars

Therefore,

the expression = 0.1x + 25y

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An auto body painter has one tank full of a 50% paint solution and another tank full of a 75% paint solution of a needed color. For a custom painting job, the painter needs 20 liters of that color in a 65% solution.
• How much of each paint solution must the painter mix to make 20 liters of a 65% paint solution? Show all supporting work for your answer.
• If the painter adds 5 liters of thinner to the paint solution, what will be the percentage of the paint solution? Show all supporting work for your answer.

Answers

The amounts of each solution needed are given as follows:

50% paint: 8 liters.75% paint: 12 liters.

The percentage of paint when 5 liters of the thinned solution are added is of:

62%.

How to obtain the solution with the system of equations?

The variables to the system of equations are given as follows:

Variable x: number of liters of the 50% paint solution.Variable y: number of liters of the 75% paint solution.

The painted needs 20 liters, hence:

x + y = 20.

The solution is 65%, hence:

0.5x + 0.75y = 0.65 x 20

0.5x + 0.75y = 13.

From the first equation, we have that:

x = 20 - y.

Hence the amount of liters of the 75% solution is obtained as follows:

0.5(20 - y) + 0.75y = 13.

0.25y = 3

y = 3/0.25

y = 12 liters.

Then the amount of liters of the 50% solution is of:

x = 20 - y = 20 - 12 = 8 liters.

When 5 liters of the 50% solutions are added, there would be 13 liters of the 50% solution, then the percentage would be of:

P = (0.5 x 13 + 0.75 x 12)/25 = 0.62 = 62%.

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Which relation is a function?

Select all that apply.

Responses

{(2, 1), (2,3), (3, 4), (4,5)} {(2, 1), (2,3), (3, 4), (4,5)}

{(2, 1), (−2,1), (3, 2), (4,2)} {(2, 1), (−2,1), (3, 2), (4,2)}

{(−1, 2), (−2,2), (−3, 2), (−4,2)} {(−1, 2), (−2,2), (−3, 2), (−4,2)}

{(2, 1), (2,3), (−2, 5), (−2,7)} {(2, 1), (2,3), (−2, 5), (−2,7)}

{(2, 2), (3,3), (4, 4), (5,5)}

Answers

The relations which are functions as required to be identified in the task content are;

{(2, 1), (−2,1), (3, 2), (4,2)} {(−1, 2), (−2,2), (−3, 2), (−4,2)}{(2, 2), (3,3), (4, 4), (5,5)}

Which relations are functions among the given answer choices?

It follows from the task content that the relations which are functions among the given answer choices are to be identified.

Since the definition of a function is such that; a function is a special kind of relation in which case only one output value is assigned to each input values.

Put simply, a function has only one output value for each input value.

Therefore, it follows from the definition above that the relations which are functions among the given answer choices are as listed above.

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Show the order form closest to warmest -0.4, 3.4 , -6.1, -2.5

Answers

Answer:

-6.1,-2.5,-0.4,3.4

Step-by-step explanation:

If we used a number line and graphed all the numbers, we could visually see that -6.1 is the farthest from zero followed by -2.5,-0.4 and 3.4. Because we are doing the coldest temperature to warmest and not the other way around the answer would be -6.1,-2.5,-0.4,3.4

Hope this was helpful!

A rocket has positive velocity v(t) after being launched upward from an initial height of 0 feet at time =0 seconds_ The velocity of the rocket is recorded for selected values of over the interval 0 < t < 80 seconds as shown in the table below 10 20 30 40 50 60 70 80 seconds v(t) (feet_per_second_ 22 29 35 40 44 47 49 Use a midpoint Riemann sum with 3 subintervals of equal length to approximate v(t)dt _ b) Using correct units, explain the meaning of v(t)dt in terms of the rocket's flight

Answers

Using a midpoint Riemann sum with 3 subintervals of equal length to approximate [tex]\int^{70}_{10}v(t)dt[/tex] is 2020 and [tex]\int^{70}_{10}v(t)dt[/tex] means the distance in feet, traveled by rocket A from t=0 seconds to t=70 seconds.

From the given question,

An initial height of 0 feet at time t=0 seconds.

The velocity of the rocket is recorded for selected values of over the interval 0 < t < 80 seconds.

(a) Using a midpoint Riemann sum with 3 subintervals of equal length to approximate [tex]\int^{70}_{10}v(t)dt[/tex].

[tex]\int^{70}_{10}v(t)dt[/tex]

A midpoint Riemann sum with 3 sub intervals so, n=3

∆t= (70-10)/3

∆t = 60/3

∆t = 20

Intervals: (10, 30), (30,50), (50,70)

Midpoint:      20        40         60

Midpoint Riemann Sum

[tex]\int^{70}_{10}v(t)dt[/tex] = ∆t[v(20+v(40)+v(60)]

From the table

[tex]\int^{70}_{10}v(t)dt[/tex] = 20[22+35+44]

[tex]\int^{70}_{10}v(t)dt[/tex] = 20*101

[tex]\int^{70}_{10}v(t)dt[/tex] = 2020

(b) Now we have to explain the meaning of v(t)dt in terms of the rocket's flight [tex]\int^{70}_{10}v(t)dt[/tex].

It means the distance in feet, traveled by rocket A from t=0 seconds to t=70 seconds.

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evaluate the line integral by the two following methods. line integral xy dx x2 dy c is counterclockwise around the rectangle with vertices (0, 0), (3, 0), (3, 4), (0, 4). (a) directly (b) using green's theorem

Answers

main answer:  line integral  by the two following methods [tex]xy dx x^{2} dy c[/tex]

supporting answer: A line integral in Calculus is an integral in which the function to be integrated is evaluated along a curve. A path integral, curve integral, or curvilinear integral are all names for a line integral. This article will go over the definition of the line integral, formulas, examples, and how to use line integrals in real life

body of the answer : given

line integral xy dx x^{2} dy c

c is counter clockwise

according to greens theorem

∫ₐpdx+qdy

∫∫ₓdq/dx-dp/dq

we evaluate the 1st line integral from (0,0) to (0,4)

an equation  of straight  line joining (0,0) and (0,4)in the xy plane is y=4

l₁=∫⁰₄ x(4)dx+ x²(4)=∫⁰₄ 4xdx+4x²

=[4.x²/2+4x³/3]₄⁰

=4(16)/2+4(64)/3

=32+256/3

=117

we evalute second integral from (0,4)to (3,0)

an equation of straight line joining (0,4)and(3,0)in xy plain is x=3 dx=0

the second line integral now becomes

l₂=∫³₀ (3)y(0)+3²dy

=∫³₀ 9dy

=27

we now evaluate the third line integral from  (3,0) to (3,4)

an equation  of straight line joining (3,0)and (3,4) in xy plain is y=4,dy=0

the third integral now becomes,

l₃=∫³₃ x(0)dx+ x²(4)

=∫³₃ 4x²

=4*9=36

36-36=0

now evalute the 4th line integral from (3,4) to(0,0)

an equation of straight line joining from (3,4) to (0,0) in xy plane is x=0

∫₄⁰(3)y(0)+ 9dy

∫⁰₄ 9dy

=9*4=36

sum of all line integral=36+27+0+117

=180

final answer:therefore ∫ₐ pdx +qdy

∫∫ₓdq/dx-dp/dq=180

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Line integral by the two following methods  is 180

What is integral calculus?

A line integral in Calculus is an integral in which the function to be integrated is evaluated along a curve. A path integral, curve integral, or curvilinear integral are all names for a line integral. This article will go over the definition of the line integral, formulas, examples, and how to use line integrals in real life

Given

line integral xy dx x^{2} dy c

c is counter clockwise

According to greens theorem

∫ₐpdx+qdy

∫∫ₓdq/dx-dp/dq

We evaluate the 1st line integral from (0,0) to (0,4) an equation of straight  line joining (0,0) and (0,4)in the xy plane is y=4

l₁=∫⁰₄ x(4)dx+ x²(4)=∫⁰₄ 4xdx+4x²

=[4.x²/2+4x³/3]₄⁰

=4(16)/2+4(64)/3

=32+256/3

=117

We evaluate second integral from (0,4) to (3,0)

an equation of straight line joining (0,4) and (3,0) in xy plain is x=3 dx=0

the second line integral now becomes

l₂=∫³₀ (3)y(0)+3²dy

=∫³₀ 9dy

=27

We now evaluate the third line integral from  (3,0) to (3,4)

an equation  of straight line joining (3,0)and (3,4) in xy plain is y=4,dy=0

the third integral now becomes,

l₃=∫³₃ x(0)dx+ x²(4)

=∫³₃ 4x²

=4*9=36

36-36=0

Now evaluate the 4th line integral from (3,4) to(0,0)

an equation of straight line joining from (3,4) to (0,0) in xy plane is x=0

∫₄⁰(3)y(0)+ 9dy

∫⁰₄ 9dy

=9*4=36

Sum of all line integral=36+27+0+117

=180

Therefore ∫ₐ pdx +qdy

∫∫ₓdq/dx-dp/dq=180

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find the area of the shaded figure
ASAPPPPPP

Answers

Answer:

[tex]A=20 units^2[/tex]

Step-by-step explanation:

I would separate out the shape into two equal right triangles over a square.  The total area can then be found by adding these areas together:

[tex]A_t=2A_\Delta +A_s\\A_t=2(\frac{1}{2}bh)+(s)^2\\b=2 units\\h=2units\\s=4units\\A_t=2[\frac{1}{2}(2units)(2units)]+(4units)^2\\A_t=4units^2+16units^2\\A_t=20units^2[/tex]

solve the system of equations using any method

3x-3= y
6x-5y=12

(please i need help im begging you)

Answers

Answer:

(1/3, - 2)

-------------------------------

Given system

3x - 3 = y6x - 5y = 12

Solve by substitution

6x - 5(3x - 3) = 126x - 15x + 15 = 12- 9x = 12 - 15- 9x = - 3x = - 3 / - 9x = 1/3

Find y:

y = 3 * 1/3 - 3y = 1 - 3y = - 2

Find the slope of the line help me please

Answers

Answer:

D

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 3) and (x₂, y₂ ) = (4, 2) ← 2 points on the line

m = [tex]\frac{2-3}{4-(-2)}[/tex] = [tex]\frac{-1}{4+2}[/tex] = - [tex]\frac{1}{6}[/tex]

help meeeeeeeeeeeeeeeeeee pleaseee!!!!help meeeeeeeeeeeeeeeeeee pleaseee!!!!help meeeeeeeeeeeeeeeeeee pleaseee!!!!help meeeeeeeeeeeeeeeeeee pleaseee!!!!

Answers

a. [tex]123.1(1.069)^3 \approx 150.4[/tex]

b. [tex]123.1(1.069)^{20} \approx 467.5[/tex]

There are 30 students in a class, more
boys than girls. One night they all went
to the theatre.
In the first intermission every girl bought
a cheesecake, and every boy bought
a cake. (A cake and a coke each cost a whole
number of dollars.) In
the second intermission every girl bought
coke and every boy bought
a cheesecake.
The class spent $2 less in the second
intermission than in the first one. How
many boys and girls are there in this class​

Answers

Answer:

b = amount of boys

g = amount of girls

f = amount spent in first intermission

s = amount spent in second intermission

c = cake cost

x = coke cost


b = 16

g = 14

f = 76

s = 74

c = 2

x = 3

Step-by-step explanation:

cg + xb = f

xg + cb = s

f - 2 = s

b + g = 30

b > g

To solve for the variables, you just have to guess and check.

(2 x 14) + (3 x 16) = 76

(3 x 14) + (2 x 16) = 74

76 - 74 = 2

16 + 14 = 30

16 > 14

in your own words, explain why the speedup of a parallel algorithm will eventually reach some limit.

Answers

The speedup of a parallel algorithm will eventually reach some limit.

What is parallel algorithm?

An algorithm is a set of instructions that takes input from the user and, after doing some calculations, generates an output. A parallel algorithm is one that can carry out multiple operations simultaneously on various processing units and then combines all of the separate outputs to get the desired outcome.

An algorithm that can execute several instructions concurrently on various processing devices and then aggregate all of the individual outputs to produce the final result is known as a parallel algorithm.

Because a parallel algorithm's speedup is never equal to the number of processors, it ultimately reaches a limit beyond which it can no longer be accelerated. At that point, the algorithm will no longer be accelerated and the speedup will stop.

Hence, the speedup of a parallel algorithm will eventually reach some limit.

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27. P is (-1, 3) and Q is (5, -1).
(a) Find the coordinates of the midpoint of PQ.
(b) Find the gradient of the line PQ
36 +16
(c) Given that the length of PQ-2√n units, where n is an integer, find the value of n
=
(N2013/1/19)

Answers

a) Coordinates of the midpoint: (2,1)

b) Gradient of the line PQ = -2/3

c) n = 13

What is the midpoint  of a line segment?

The midpoint is defined as the point which divides the line segment into two equal halves.

Given P = (-1,3) , Q = (5,-1)

Coordinates of the midpoint are given by

X' = (X1+ X2)/2

Y' = (Y1+ Y2)/2

(X1,Y1 ) and (X2,Y2) are the endpoints of the line segment.

Putting the values in the above formula X' = (-1+5)/2 = 2

Y' = (3-1)/2 = 1

hence midpoint  = (2,1)

The Slope or Gradient of the line is given by = (Y2-Y1)/X2-X1)

= (-1-3)/(5-(-1))

= -4/6 = -2/3

Gradient = -2/3

Distance between 2 points is given by the formula

[tex]\sqrt{(x_{1}-x_{2}) ^{2}+(y_{1}-y_{2}) ^{2} }[/tex]

[tex]\sqrt{(-1-5)^{2}+(3-(-1))^{2} }[/tex]

[tex]\sqrt{6^{2}+4^{2} }[/tex]

= [tex]2\sqrt{13}[/tex]

hence n = 13

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A group of friends wants to go to the amusement park. They have no more than $170 to spend on parking and admission. Parking is $7. 25, and tickets cost $23. 25 per person, including tax. Write and solve an inequality which can be used to determine xx, the number of people who can go to the amusement park.

Answers

If the inequality which can be used to determine x is 7.25 + 23.25x ≤ 170 and the number of people who can go the amusement park is 7

The maximum amount that he can spend = $170

The cost of the parking ticket = $7.25

The cost of the ticket including tax = $23.25 per person

Then the inequality will be

7.25 + 23.25x ≤ 170

Subtract both side of the inequality by 7.25

23.25x ≤ 162.75

Divide both side of the inequality by 23.25

23.25x / 23.25 ≤ 162.75/23.25

x ≤ 7.006

Hence, the inequality is 7.25 + 23.25x ≤ 170 and 7 people can go to the amusement park

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Please answer asap! find the magnitude and direction angle of m=(-15,16) and n=(2,-6)

Answers

The magnitude and the direction angle of the vector are given as follows:

Magnitude: 27.80.Direction angle: θ = -52.3.

What are the magnitude and the direction of the vector?

The points that define the vector are given as follows:

m(-15, 16) and n(2,-6).

Considering m as the starting point and n as the endpoint, the vector is defined by the subtraction of the coordinates of n by the coordinates of m, hence:

v = (2 - (-15), -6 - 16) = (17, -22).

The magnitude of the vector is given by square root of the sum of the squares of the components, hence:

|v| = sqrt(17² + (-22)²) = 27.80.

The direction angle is the arc tangent of the division of the vertical component of the vector by the horizontal component of the vector, hence:

θ = arctan(-22/17)

θ = -52.3.

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The volume of the cube is claimed to be 27 inches, correct to within 0.027 in3. Use differentials to estimate the propagated error in the measurement of the side of the cube.

Answers

The propagated error in the measurement of the side of the cube is 0.001.

We know that,

the volume of a cube is dependent on the length of the edge, s, which is given by the equation,

V = [tex]s^{3}[/tex].

With this we determine that the given cube has an edge of 27 = [tex]s^{3}[/tex]

⇒ s = 3 inches.

Now we can acquire the differential of the equation for the volume of the cube with the following equations.

V = [tex]s^{3}[/tex]

dV = d([tex]s^{3}[/tex])

dV = 3[tex]s^{2}[/tex] ds

We have given that volume of the cube is 0.027.

That is dV = 0.027 and s = 3

we simply plug in the given and then solve for ds to determine the error in the measurement of the edge of the cube.

dV = 3[tex]s^{2}[/tex] ds

0.027 = 3(3)²ds

0.027 = 27ds

0.001 = ds

Therefore, there is an error in measurement of the edge of the cube up to 0.001 inches.

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Roger Marl wung a bat which had a ma of 2kg at a velocity of 45m/. How many joule of kinetic energy could he give to the ball

Answers

Total kinetic energy that is generated will be 2025 joules

What is kinetic energy?

The K.E. of an object is that the energy that it possesses because of its motion. it's outlined because the work required to accelerate a body of a given mass from rest to its expressed velocity.

Main body:

According to question :

mass = 2 kg

velocity = 45 m/s

formula for kinetic energy = (1/2) mv²

substituting these values in formula,

K.E. = (1/2) 2* 45²

K.E. = 45²

K.E. = 2025 joules.

Hence kinetic energy generated is 2025 joules.

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ALGERA 2 Question: PLEASE HELP I WILL MARK BRANLYLIST

Answers

Answer:

First option

Step-by-step explanation:

Hope this helps

First answer
hope I answered in time!
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