what would the answer be and this is the last question u get brainlist for givnig the answer

What Would The Answer Be And This Is The Last Question U Get Brainlist For Givnig The Answer

Answers

Answer 1

Answer:

8.56

Step-by-step explanation:

d=2

r=d/2

r=1

area of the circle=πr², but we also have to subtract the square from it

a=π2²

a= 12.56

now the area of the square is 2*2

the area of the shape 12.56-(2*3)

the area of the shape is 8.56


Related Questions

Determine the distance between the points (−4, −5) and (8, 0). 13 units 12 units 8 units 29 units

Answers

The distance between the points (-4, -5) and (8, 0) is 13 units

The coordinates of the first point = (-4, -5)

The coordinates of the second point = (8, 0)

The distance between the two points d = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Where d is the distance between two points

[tex](x_1,y_1)[/tex] is the coordinates of the first point

[tex](x_2,y_2)[/tex] is the coordinates of the second point

Substitute the values in the equation

The distance between the two points = [tex]\sqrt{(8--4)^2+(0--5)^2}[/tex]

= [tex]\sqrt{12^2+5^2}[/tex]

Find the square of each term

= [tex]\sqrt{144+25}[/tex]

Add the terms together

= [tex]\sqrt{169}[/tex]

Find the square root of the number

= 13 units

Hence, the distance between the points (-4, -5) and (8, 0) is 13 units

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Paul has to put shingles on a roof. A brand new construction worker takes 12 hours to do it alone. When Paul asks the new worker to help him, they can do the job in 2 hours less than it takes Paul to do it alone. How many hours does it take Paul to do the job alone? Workingtogetherformula1a+1b=1T

Answers

The number of hours that it takes for Paul to do the job alone is of:

6 hours.

How to obtain the time it takes for Paul do to the job alone?

The time that it takes for Paul to do the job alone is given by the together rate, which is obtained as the sum of the separate rates.

The rates in the context of this problem are given as follows:

Construction worker: 1/12.Paul: 1/x.Together rate: 1/(x - 2) -> 2 hours less than Paul's alone.

Hence the value of x is obtained applying the together rate, and it gives the number of hours that it takes for Paul to do the job alone.

Hence:

1/(x - 2) = 1/x + 1/12

1/(x - 2) = (12 + x)/(12x)

Applying cross multiplication, we have that:

(12 + x)(x - 2) = 12x

x² + 10x - 24 = 12x

x² - 2x - 24 = 0

(x + 4)(x - 6).

Applying the Factor Theorem, the solutions are given as follows:

x + 4 = 0 -> x = -4 -> extraneous solution, as the number of hours cannot be negative.x - 6 = 0 -> x = 6 -> actual solution.

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Gabriel is designing a rectangular planter box for their garden. It needs to cover an area of
15 1/2 m
Gabriel wants it to be 7- m long.
4
How wide does the planter box need to be?

Answers

Answer:

2m Wide

Step-by-step explanation:

how to solve peggy is preparing a colored frosting for a cure. for the right shade of purple, she needs 25 milliliters of a 44% concentration food coloring. the store has a 25% red and a 50% blue concentration of food coloring. how many milliliters each of blue food coloring and red food coloring should be mixed to make the necessary amount of purple food coloring?

Answers

Answer:

25% red and 28% blue.

Step-by-step explanation:


In a direct variation, y=80 when x=5. Write a direct variation equation that shows the relationship between x and y.

Answers

As per the concept of direct variation, y = 80 when x = 5, then the direct variation equation shows the relationship between x and y will be y = 16x

Equation

Basically, the equation is a statement that two expressions, which include variables and/or numbers, are equal. And in essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

Given,

In a direct variation, y=80 when x=5.

Here we have to write a direct variation equation that shows the relationship between x and y.

Here we have given that,

The value of y = 80 when x = 5

Therefore, there are often two different sorts of variables in analytics.

And we have obtained that independent variables will have an impact on dependent variables.

Now, what occurs as a result of the independent variable is referred to as a dependent variable.

Here we have given equation x is the independent variable while y is the dependent variable.

So, it can be written as,

=> 80 = 16(5)

Therefore, the resulting equation is y = 16x

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34.7 divided by 0.7
round answer to 2 decimal places

Answers

Answer:

49.57

Step-by-step explanation:

0.7 can go into 34.7 49 times. 0.7*49=37.3

34.7-34.3=0.4 and 0.4/0.7 is 4/7 or 0.57...

So 49+.57=49.57

Convert the equation y = 3x - 5 from slope-intercept form to standard form.

Answers

3x-y=-5 is the answer

A number reduced by two, then multiplied by 9

Answers

(x-2)9

9x-18

good luck <33

A veterinarian has been asked to prepare a diet, x ounces of Brand A and y ounces of Brand B, for a group of dogs to be used in a nutrition study at the School of Animal Science. It has been stipulated that each serving should be no larger than 8 oz and must contain at least 29 units of Nutrient I and 20 units of Nutrient II. The vet has decided that the diet may be prepared from two brands of dog food: Brand A and Brand B. Each ounce of Brand A contains 3 units of Nutrient I and 4 units of Nutrient II. Each ounce of Brand B contains 5 units of Nutrient I and 2 units of Nutrient II. Brand A costs 5 cents/ounce, and Brand B costs 7 cents/ounce. Determine how many ounces of each brand of dog food should be used per serving to meet the given requirements at a minimum cost. (x,y)=... What is the minimum cost? (Round your answer to the nearest cent.) ..... cents per serving

Answers

To meet the given requirements 3 ounces of Brand A and 4 ounces of Brand B should be served , the minimum cost is $43 .

In the question ,

it is given that ,

the each serving should not be larger than  8oz .

let the number of Ounces of Brand A food = x , and

let the number of ounces of brand B = y ,

So , x + y ≤ 8

Brand A has 3 units of Nutrient 1 and 4 units of Nutrient 2 , and

Brand B has 5 units of Nutrient 1 and 2 units of Nutrient 2 ,

So , 3x + 5y ≥ 29 ,

and 4x + 2y ≥ 20,

and x , y ≥ 0  .

given, that

cost of Brand A = 5 cents/ounce

cost of Brand B = 7 cents/ounce

So , the cost equation is c(x) = 5x + 7y ,

drawing the given inequalities on the graph ,

From the graph given below , we find that the vertices of the feasible region are ,

(2,6) , (5.5,2.5) , (3,4)

Substituting the points in the cost equation , we get

For point (2,6) , C = 5(2) + 7(6) = 10 + 42 = 52

For point (3,4), C = 5(3) + 7(4) = 15 + 28 = 43

For point (5.5,2.5) , C = 5(5.5) + 7(2.5) = 45 ,

the minimum cost is at point (3,4) ,

So , 3 ounces of Brand A and 4 ounces of Brand B should be used .

Therefore , To meet the given requirements 3 ounces of Brand A and 4 ounces of Brand B should be served , the minimum cost is $43 .

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Find the equation of the linear function represented
by the table below in slope-intercept form.
X
1
2
3
4
y
0
-5
-10
-15

Answers

The equation of the linear function in slope-intercept form is [tex]y=-5x+5[/tex]

What is slope-intercept form of linear function?

When you know the slope of the line to be investigated and the given point is also the y intercept, you can utilize the slope-intercept formula, y = mx + b. (0, b). The y value of the y intercept point is denoted by the symbol b in the formula.

Different values of x and y  are given.

Find the slope using any two points from the given points.

[tex]m=\frac{-5-0}{2-1}\\ =-5[/tex]

Use the point-slope form of line to obtain the equation.

[tex]y-0=-5(x-1)\\[/tex]

Arrange the equation in slope- intercept form.

[tex]y=-5x+5[/tex]

So, the equation of the linear function in slope-intercept form is [tex]y=-5x+5[/tex].

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Given that x is a nonnegative number, a student conjectured that x+4

Answers

The value of x is a counter example to the student's conjecture (x = 2).

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that x is a non-negative number, a student conjectured that x + 4 < x².

Since x is a non-negative number, A and B are eliminated.

This leaves C and D at the value of x = 2,

2 + 4 < 2²

6 < 4 is false.

Therefore, the value of x is a counterexample to the student's conjecture (x = 2).

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What is the answer to this problem ?

Answers

The three ordered pairs for the equation y = -4x+3 are (0,3), (1,-1) and (2,-5).

According to the question,

We have the following equation:

y = -4x+3

We have to find the three ordered pairs when the values of x are given in the table.

When x = 0, we have the following value of y:

y = -4*0+3

y = 3

When x = 1:

y = -4*1+3

y = -4+3

y = -1

When x = 2:

y = -4*2+3

y = -8+3

y = -5

Hence, the three ordered pairs for the equation y = -4x+3 are (0,3), (1,-1) and (2,-5).

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Maya is playing a trivia game with multiple choice questions. Each question has 222 correct answers among 555 answer choices. Maya has no idea what the answers to a certain question are, so she needs to choose two different answers at random. What is the probability that maya's first guess is correct and her second guess is incorrect?.

Answers

Maya is playing a trivia game with multiple choice questions. Each question has 222 correct answers among 555 answer choices. Maya has no idea what the answers to a certain question are, so she needs to choose two different answers at random.

The probability that maya's first guess is correct and her second guess is incorrect is 0.24.

From the question given above, the following data were obtained:

Correct answer (C) = 222

Total answer = 555

Incorrect answer (I) = 555 – 222 = 333

Next, we shall determine the probability that her 1st guess is correct.

Correct answer, nC = 222

Total answer, nS= 555

Probability of correct answer, P(C) =?

P(C) = nC / nS

P(C) = 222 / 555

Next, we shall determine the probability that her 2nd guess is incorrect

Incorrect answer, nI = 333

Total answer, nS = 554

Probability of incorrect answer, P(I) =?

P(I) = nI / nS

P(I) = 333 / 554

Finally, we shall determine the probability that her first guess is correct and her second guess is incorrect.

Probability of correct answer, P(C) = 222 / 555

Probability of incorrect answer, P(I) = 333 / 554

Probability of 1st correct and 2nd incorrect, P(C n I) =?

P(C n I) = P(C) × P(I)

P(C n I) = (222 / 555) × (333 / 554)

P(C n I) = 0.24

Hence the answer is, The probability that maya's first guess is correct and her second guess is incorrect is 0.24.

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Answer:

0.3

Step-by-step explanation:

Khan Academy ;)

A cyclist rode 5.83 miles in 0.4 hours.

How fast was she going in miles per hour?

At that rate, how long will it take her to go 5.5 miles?

Answers

Answer:

Its 12.5 miles per hour.

Step-by-step explanation:

Distance covered by cyclist=3.75 miles. Time =0.3 hours. Speed =3.75÷0.3=12.5

hope this helps

Answer:

0.4 miles per hour

Step-by-step explanation:

Distance covered= 5.83 miles

Time taken to cover the distance =0.4 hours

[tex] speed \: = \frac{distance}{time} [/tex]

[tex] = \frac{5.83}{0.4} [/tex]

=14.575 ~=14.5 miles per hour

If the rate (speed) = 14.575 miles per hour

Distance = 5.5 miles

[tex]time = \frac{distance}{speed} [/tex]

[tex] = \frac{5.5}{14.575} [/tex]

=0.337 ~= 0.4 hours

Can you locate the school where sir isaac newton was once the lucasian professor of mathematics?.

Answers

Answer:

The second period from 1669 to 1687 was the highly productive period in which he was Lucasian professor at Cambridge. The third period (nearly as long as the other two combined) saw Newton as a highly paid government official in London with little further interest in mathematical research.

Step-by-step explanation:

Factorise the following 2x + 10

Answers

Answer:

2(x+5) I believe

Step-by-step explanation:

A regular polygon has 16 sides. If one of its angles measures (5h − 29)°, what is the value of h?
h=56.5
h=37.3
h=33.6
h=9


PLEASE HELP

Answers

The value of h in a regular polygon of 16 sides is 37.3.

According to the question,

We have the following information:

A regular polygon has 16 sides. And one of its angles measures (5h − 29)°.

We know that following formula is used to find the sum of interior angles of a polygon:

(n-2)*180 where n is the number of sides of a polygon

(16-2)180

14*180

2520°

Now, in this polygon, there are 16 sides. So, there will be 16 angles.

Now, to find the measurement of one angle, we will divide total sum by number of angles.

One angle = 2520/16

One angle = 157.5°

Now, we have the following expression:

5h-29 = 157.5

5h = 157.5+29

5h = 186.5

h = 186.5/5

h = 37.3

Hence, the correct option is B (the second one).

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four cards are selected at random without replacement from a well-shuffled deck of 52 playing cards. find the probability of the given event. (round your answer to four decimal places.) four cards of the same suit are drawn.

Answers

The probability of selecting four cards of the same suit is 0.0106.

What is probability?

A probability is a number that reflects the chance or likelihood that a particular event will occur.

Given that, four cards are selected at random without replacement from a well-shuffled deck of 52 playing cards

No. of cards for each suit = 13

Total types of four suits = 4(hearts, spades, diamond, clubs)

Probability = (conditional case)/(total case)

So, total number of conditional case = No. of case of selecting all 4 cards of hearts suit + no. of case of selecting all 4 cards of spades suit + no. of case of selecting all 4 cards of clubs suit + no. of case of selecting all 4 cards of diamonds suit

= 13C4 + 13C4 + 13C4 + 13C4

= 4*13C4 = 4*13!/9!4! = 4*13*12*11*10*9!/9!*4*3*2*1 = 2860

Total number of cases = 52C4 = 52!/48!4! = 270725

So, probability of getting all 4 cards of the same suit =

2860/270725

​= 0.0106.

Hence, The probability of selecting four cards of the same suit is 0.0106.

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Which equation represents the graph below?
-10
Oy = ²r + 10
Oy - 2x + 5
O y = 5x + 2
O y
=
-5
=
x+5
-10
0
-5-
5

Answers

y = -1/3 x + 5 this equation represents the given graph.

How do you plot points on graph ?

The horizontal axis is called the x-axis. And the vertical one is the y-axis. Points are written as xy pairs in parentheses, like so: (x, y).Now, just locate the position on x-axis as well as in y-axis and finally plot where these points meet.

Proof :

(0, 5) and ( 15, 0) these are the points where the graph is plotted.

y = -1/3 x + 5

put x= 0 and find y

y = 0 + 5

y = 5

put y = 0 and find x

0 = -1/3 x + 5

-5 = -1/3 x

x = 15

So, now we get the same points i.e, (0, 5) and ( 15, 0) as plotted in the given graph.

Hence, we can say that  y = -1/3 x + 5 this equation represents the given graph.

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help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

By evaluating the exponential equation, we will see that the amount owed after 6 years is $8551.56

How to find the amount owed after 6 years?

The formula we need to use is the exponential equation:

A = P*(1 + r/n)^(n*t)

Where:

P is the initial amount, here we know that it is $5,300

r is the rate, in this case is 8%, but it needs to be written as a decimal, so we have r = 0.08

t is the variable, this time is the time in years, we want to find the amount owed after 6 years, so t = 6

n is how many the the rate applies on one unit of t, in this case the rate is monthly, and there are 12 months on a year, so n = 12.

Replacing all that in the given formula we will get:

A = $5,300*(1 + 0.08/12)^(12*6) = $8551.56

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PLEASE HELP THIS IS OVERDO
What is the product of 2p + q and –3q – 6p + 1?

–12p2 – 6pq – 4p – 3q + 1
–12p2– 12pq + 2p – 3q2 + q
–9p2q2 + 12pq – 2p + q
12p2 + 12pq +2p + 3q2 + q

Answers

The product of the algebraic expression as the product of (2p + q) and (-3q - 6p + 1) is; - 12p² - 12pq + 2p - 3q²+ q

How to multiply algebraic expressions?

We want to find the product of (2p + q) and (-3q - 6p + 1) and this gives;

(2p + q) * (-3q - 6p + 1)

Now, this can be broken down further using distributive property of algebra into;

2p(-3q - 6p + 1) + q(-3q - 6p + 1)

= -6pq - 12p² + 2p - 3q² - 6pq + q

= - 12p² - 3q² - 12pq + 2p + q

Rearranging gives us;

- 12p² - 12pq + 2p - 3q²+ q

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If a = 7 and b equals 13 what is the value of C round your answer to the nearest hundredth

Answers

Answer:

  c ≈ 14.76

Step-by-step explanation:

In right triangle ABC, you have short sides a=7 and b=13. You want the length of the hypotenuse, 'c'.

Pythagorean theorem

The Pythagorean theorem tells you the relationship between the sides of a right triangle is ...

  c² = a² +b²

Application

Filling in the given values, we have ...

  c² = 7² +13² = 49 +169 = 218

  c = √218 ≈ 14.7648

Rounding to hundredths, we have ...

  c ≈ 14.76

__

Additional comment

Your posted question asks for the value of C (capitalized). That refers to the right angle, so its value is C = 90°. It is always helpful if you ask for what you really want to know.

A triangle has side lengths of (7x-4)(7x−4) centimeters, (x+3)(x+3) centimeters, and (3y+2)(3y+2) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?

Answers

The perimeter of the triangle is, 8x + 3y +1.

What is perimeter?

A perimeter is a closed path that encloses, surrounds, or delimits a one-dimensional length, a two-dimensional shape, or both. The circumference of a circle or an ellipse is its perimeter. There are numerous practical uses for calculating the perimeter.

Let, the side lengths of the triangle are (7x - 4), (x + 3) and (3y + 2).

Since the perimeter is the sum of all side lengths.

So,

Perimeter = (7x - 4) + (x + 3) + (3y + 2)

                 = 7x - 4 + x + 3 + 3y + 2

Perimeter = 8x + 3y + 1

Hence, the perimeter of the triangle is, 8x + 3y + 1.

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Can someone please help me on this, I don't understand :)

Answers

The values of x and y are 23.3 and 106 as per given diagram.

What is Alternate Interior Angles?

The word "alternate" refers to the transversal's "alternating sides." The "location" of these angles is expressly described by this designation.The alternate interior angles are equal in size when the lines are parallel.The sides of the transversal are "alternated" by alternate interior angles, which are "internal" (between the parallel lines). They are not neighbouring angles, as you can see (next to one another sharing a vertex).The alternate interior angles are equivalent when a transversal cuts two parallel lines.

Hence, (3x + 4)° = 74°

3x = 74° - 4°°

x = 70° / 3

x = 23.3

What is Interior Angles on the Same Side of the Transversal?

The name of these angles describes their "location."The measures are supplemental when the lines are parallel.These angles are situated precisely where their names suggests. They are on the same side of the transversal and are "interior" (between the parallel lines).

Hence, (3x+4)° + y° = 180°

74° + y° = 180°

y = 106°

Hence, the values of x and y are 23.3 and 106 as per given diagram.

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Find the x- and y-intercepts of the graph of -2x + y = 22. State each answer as an
integer or an improper fraction in simplest form

Answers

The x- and y- intercepts of then graph of; -2x + y = 22 as required in the task content are; -11 and 22 respectively.

What are the x- and y-intercepts of the graph of the given equation?

It follows from the task content that the x- and y-intercepts of the graph of the equation; -2x + y = 22 are to be determined.

Recall that the y-intercept of a graph refers to the value of y when x = 0.

Therefore; we have;

-2(0) + y = 22;

y = 22.

Recall that the x-intercept of a graph refers to the value of x when y = 0;

-2x + 0 = 22

x = 22/-2

x = -11.

On this note, it follows that the x-intercept of the graph is at x = -11 while the y-intercept is at; y = 22.

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42 km of 120 km help pls

Answers

Answer: 42 km of 120km is 35%

Step-by-step explanation: 42 ÷ 120 is 0.35 then you move decimal 2 places right to get percent.

also confused about this

Answers

Graph (B) represents the base function f (x)=√x and the stretched function [tex]g (x) = \frac{-3}{2} \sqrt{x}[/tex].

What is graph?

Graphs are used to map functions of two variables on a Cartesian coordinate system, which is composed of a horizontal x-axis, vertical y-axis.

The graph of this function can be obtained by putting different values of x.

x = 0 gives f (x) = 0

x = 1 gives f (x) = 1

x = 2 gives f (x) = 1.414

x = 3 gives f (x) = 1.732

Drawing these points in the graph and connecting we get a curve(black) which can be seen in all  given diagram (A), (B), (C), (D).

Now, we have stretched function  [tex]g (x) = \frac{-3}{2} \sqrt{x}[/tex]

The graph of this function can be obtained by putting different values of x.

x = 0 gives g (x) = 0

x = 1 gives g (x) = -1.5

x = 2 gives g (x) = -2.121

x = 3 gives g (x) = -2.598

Drawing these points in the graph and connecting we get a curve(red) which can be seen in diagram (D).

By combining these two graphs we get the graph of diagram (D).

Therefore, the base function f (x) and the stretched function g (x) together represents the diagram (D).

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Suppose T: ℝ3→ℝ2 is a linear transformation. Let U, V and W be the vectors given below, and suppose that T(U) and T(V) are as given. Find T(W).
U = 1, -3, 3 V = −1,3,−2 W = −3,9,−7 T(U) = 2,2 T(V) = 0,1

T(W) = ???

Answers

By using the concept of Linear Transformation, the value of T(W) obtained is T(W) = (2, 6)

What is Linear Transformation?

A function through one vector space to the next that respects this same underlying (linear) structure of the each vector space is called a linear transformation. A linear operator, or map, is another name for a linear transformation. The transformation is known as just an endomorphism as well as, if invertible, an automorphism when the range of a transformation matches the domain. The underlying field of the two vector spaces must be identical.

Let u, v be two element of a vector space V and let c be a scalar

T is said to be a Linear Transformation if

i) T(u + v) = T(u) + T(v)

ii) T(cu) = cT(u)

T: [tex]\mathbb{R}^{3} \rightarrow \mathbb{R}^2[/tex] is a linear transformation

U = (1, -3, 3), V = (−1,3,−2)

W = [tex]c_1[/tex] U + [tex]c_2[/tex] V

(-3, 9, -7) = [tex]c_1[/tex](1, -3, 3) + [tex]c_2[/tex](-1, 3, -2)

[tex]c_1 - c_2 = -3[/tex] ...... (1)

[tex]3c_1 - 2c_2 = -7[/tex] ..... (2)

Multiplying (1) by 2

[tex]2c_1 - 2c_2 = -6[/tex] .... (3)

Subtracting  (2) from (3),

[tex]c_1 = 1[/tex]

Putting the value of [tex]c_1[/tex] in (1)

1 - [tex]c_2[/tex] = -3

[tex]c_2 = 3 + 1\\c_2 = 4[/tex]

T(W) =  T(U) +  4T(V)

T(W) = (2, 2) + 4(0, 1)

T(W) = (2, 6)

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Bella manages a cafe.She bought 15.625 pounds of oranges . She mutiplies the weigh of the oranges by 0.4 to find the weight of the oranges she will use in fruit salads

Answers

The weight of an object is the amount of gravitational force applied on the object by the earth. The weight of the oranges to be used is 6.25 pounds.

The level of influence of the earth's gravitational pull on an object determines its weight. This depends also on the size of the mass of the object.

Given that Bella bought 15.625 pounds of oranges.

Let the weight of the oranges required to prepare fruit salad be represented by W. Then the weight of the oranges required is 0.4 of the weight of oranges bought, so that;

W = 0.4 * 15.625

   = 6.25

W = 6.25

Thus, the weight of the oranges required to be used for fruit salad is 6.25 pounds.

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Carlos harvests cassavas at a constant rate. he needs 353535 minutes to harvest a total of 151515 cassavas. write an equation to describe the relationship between t, the time, and ccc, the total number of cassavas.

Answers

Carlos harvests cassavas at a constant rate. He needs 353535 minutes to harvest a total of 151515 cassavas.

The ratio of the change in dependent values or outputs to the change in independent values or inputs is known as the rate of change. The change, which also refers to the function's slope, represents the shift in values between two points on a coordinate plane. The formula for the rate of change is (y2 - y1)/, where y stands for the dependent variable and x for the independent variable (x2 - x1).

Given:

Carlos gives  353535 minutes to harvest a total of 151515 cassavas.

Find:

We have to find the total number of cassavas.

Solution:

Carlos harvests cassava at constant rate is 353535 minutes per 151515 cassavas

= 151515/353535

= 0.429

A formula for the quantity of cassava (C) that Carlos harvests each time (T).

This means that after 353535 minutes, 151515 cassavas have been harvested, after 700000 minutes, 300000 cassavas, and so on.

Hence, the required constant rate is 0.429T.

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