Devoir de maths sur les Rectangle d'or et nombre d'or (énoncé ci-dessous)

Type A trees produced 4. 4,000 apples, based on their ratio to the total production of apples during the season.

The ratio refers to the relative value of one variable or number to another.

Ratios are expressed as fractional values using percentages, decimals, and fractions.

The ratio of apples by Type A and Type B trees = 1:5

The sum of ratios = 6

The total number of apples produced in the season = 24,000

The ratio of Type A apples to the total = 1/6

The number of Type A apples = 6,000 (24,000 x 1/6)

Thus, we can conclude that Type A trees produced 6,000 apples while Type B trees produced 18,000 apples.

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Answer: 70

Step-by-step explanation: 14 + 6 = 20, 20 time 5 is 100, so 14 times 5 is the answer

$145 money does Carter need to earn at the bike shop to keep his budget balanced

The projection of future income and spending is done using a budget. Simply expressed, a budget accounts for both anticipated income and costs as well as future saving and spending. A budgeting method enables you to prepare for your income and spending over a specific time period. For instance, planning a monthly budget involves considering how much money you'll have coming in and going out each month. Surplus, Balanced, and Deficit Budgets are the three types of yearly government finances based on projections.

Dog walking: $20                           Costume: $40

Working at the bike shop: $145   Fixing bike: $25

Gift from uncle: $50                       Corn maze: $15

Pet sitting: $35                                Saving for college: $170

Total: $250                                      Total: $250

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The coordinates of the image of point E after a translation 2 units down are (-4, -1).

The coordinates of the image of point F after a translation 2 units down are (-3, -4).

The coordinates of the image of point G after a translation 2 units down are (2, -1).

To translate coordinates in a two-dimensional plane, you need to know the translation vector. A translation vector is a pair of numbers (a, b) that indicates the amount of movement in the x-direction and y-direction.

To translate a point (x, y) by the translation vector (a, b), you can use the following formulas:

x' = x + a

y' = y + b

Where x' and y' are the new coordinates of the point after the translation.

A translation is a transformation that moves a figure a certain distance in a certain direction without rotating or reflecting it. In this case, we are asked to translate the triangle EFG 2 units down. This means that we need to move the triangle down 2 units on the y-axis.

To translate a point (x, y) down 2 units, we can add -2 to the y-coordinate. The new coordinates of the point will be (x, y - 2).

The coordinates of E are (-4, 1), so the coordinates of E' after the translation are (-4, 1-2) = (-4,-1)

The coordinates of F are (-3,-2), so the coordinates of F' after the translation are (-3,-2-2) = (-3,-4)

The coordinates of G are (2, 1), so the coordinates of G' after the translation are (2,1-2) = (2,-1)

So the new coordinates for the triangle EFG' after the translation are:

E'(-4,-1)

F'(-3,-4)

G'(2,-1)

It's important to notice that the x-coordinates didn't change because we are only translating the triangle down, on the y-axis.

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Answer: 3w-8

Step-by-step explanation: I don't quite understand you because I speak English but it's 3w-8

The line segment joining the two midpoints is half the length of the third side, and said line segment is also parallel to the third side.

Answer:

46cm

Step-by-step explanation:

Consequently, each variable's value for the parallelogram INDY that's diagonals intersect at P and have values of x = 2/3 and y = 8/9.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two expressions 3x + 5 and 14, which are separated by the 'equal' sign. a formula that expresses the connection between two expressions on either side of a sign.

Here,

If a parallelogram INDY has diagonals that intersects at P, then O bisects ID and YN

Hence IP = PD and NP = YP

IP=3x

DP = 6x - 2

NP = 3y and

YP=7x-2,

Substitute

3x = 6x-2

3x-6x = -2

-3x = -2

x = 2/3

x = 0.67

Also NP = YP

3y = 7x-2

3y = 7(2/3) - 2

3y = 14/3 - 2

3y = 14-6/3

3y = 8/3

9y = 8

y = 8/9

Hence the value of each variable for parallelogram INDY That has diagonals that intersect at P is x = 2/3 and y = 8/9.

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Answer:

Step-by-step explanation:

it c

Answer: 17 boxes

Step-by-step explanation: 53-2=51 (subtract 2 from 53 as they are left at home)

51/3=17 ( divide by 3 as one box contains 3 lemon cupcakes)

so the answer is 17 boxes

a = 15, b = -14, c = -5, d = 25

Solution:

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The slower vehicle travels 178 of the total 380 km at an average speed of 89 km/h.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two expressions 3x + 5 and 14, which are separated by the 'equal' sign. A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

Here,

Let x and x+12 be the speed of cars.

2(x+x+12)=380

2x+12=190

2x=178

x=89 km/hour

x+12=89+12

=101 km/hour

The rate of the slower car is 89 km/hour and it travels 178 km out of 380 km.

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a) La posición final es 30 metros mas arriba que la posicion inicial.

b) La posicion final y la inicial son la misma.

En ambos casos asumimos que la posicion inicial del buzo sera el 0.

Si primero desciende 20 metros, entonces tenemos:

0m - 20m = -20m

Luego asciende 50 metros, entonces sumamos 50m para obtener:

-20m + 50m = 30m

La posicion final es 30 metros mas arriba que la posicion inicial.

B) En este caso primero desciende 25m:

0m - 25m = -25m

Y luego asciende 25m:

-25m + 25m = 0m

La posicion final es la misma que la inicial.

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Decision Analysis is a mathematical method for making decisions in uncertain environment.

What is environment ?

Environment refers to the surrounding conditions, resources and factors that can have an impact on an organism, community, or system. This can include physical factors such as weather, terrain, and pollution, as well as biological factors such as other living organisms, and social or economic factors such as culture, laws and economic conditions.

The process of Decision Analysis can be broken down into several steps:

1) Define the decision problem: Clearly state the problem and the decision maker's objectives.

2) Identify the decision alternatives: List all the feasible options available to the decision maker.

3) Specify the probability distribution of the uncertain parameters: Assign probabilities to the possible outcomes of the uncertain parameters.

4) Evaluate the expected value or expected loss for each alternative: Compute the expected value or expected loss for each alternative, using the probability distribution of the uncertain parameters.

5) Choose the alternative with the highest expected value or the lowest expected loss: Select the alternative that maximizes the expected value or minimizes the expected loss.

6) Sensitivity analysis: Check the robustness of the decision by studying the effect of small changes in the model's assumptions.

Decision Analysis is a mathematical method for making decisions in uncertain environment.

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Answer: -2z + 5.4

Step-by-step explanation:

(−5z+17.6)−(−3z+12.2)

−5z+17.6+3z-12.2

−5z+3z+17.6-12.2

-2z + 5.4

These are the steps to the problem.

If you think the answer is correct, please mark me as the brain because it took time for me to find the solution.

Thank you!

The value of b is 7 and the value of c is 6 for the quadratic equation.

A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

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.

The possible value of the constants are:-

x²+ bx + c

x² + 7x + 6

x² + 6x + x + 6

x ( x + 6 ) + 1 ( x + 6 )

( x + 6 ) ( x + 1 )

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Answer:

1500+1000=2500

Step-by-step explanation:

1000+250x

x represents the amount of money being deposited every month, therefore you can just plug 6 for x:

1000+250(6)= 2500

Where the derivative of a function f′ is rising, the function f is concave up (or upwards). The function f is concave up when the derivative of a function f′ is rising (or upwards).

When a function is concave, the second derivative must be obtained, set to zero, and then used to establish the range of zero values in which the function is negative. Test values on each side of these to see if the function is negative and hence dropping.

A section of the graph of f has an upward concavity if the curve "bends" upward. The entire y=x2 parabola is concave upward, for instance. A section of the graph of f is concave downhill if the curve "bends" downward.

Concave up is from (-∞ , 1]

Concave down is from [1, ∞)

y-intercept coordinates = - 8.2, 4

increasing value = x = - 8

decreasing value = x = 2.1

end behavior of the graph = downwards

factored form = y = a(x-r)(x-s)

y = a(x+2)(x-1)

-8.2 = a(-8 + 2)(-8-1)

-10 = a (-6)(-9)

a = 10/54

factored form = y = 10/54 (x+2)(x-1)

standard form = Ax + By = C

Yes, the graph has relative min/max values,

min = (-8,8.2)

max = (2.1,4)

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(x,y) = (2,0) trust me substitution is easy

the function value f(14) = 4.8.

What is a function?

A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function if one were mapped to a single value instead. Additionally, output values can be equal to input values.

The x-values are input into the function machine. The function machine then performs its operations and outputs the y-values. The function within can be any function.

f(1)= 10

f(21)= 2

Let the function f(x) = ax+b

f(1)= 10 = a+b

f(21)= 2 = 21a +b

20a = -8

a=-8/20

b = 208/20

f(14) = 14*(-8/20)+208/20 = 4.8

Hence the function value f(14) = 4.8.

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For [tex]$\mathrm{k}=2$[/tex] and[tex]$\mathrm{k}=-\frac{10}{9}$[/tex]given equation will have real and equal roots.

On comparing given equation with [tex]$\mathrm{ax}^2+\mathrm{bx}+\mathrm{c}=0$[/tex]we get,[tex]$a=1, b=-2(1+3 \mathrm{k})$[/tex] and [tex]$c=7(3+2 \mathrm{k})$[/tex]

For the roots to be real and equation D must be equal to zero,

[tex]\mathrm{D} & =\mathrm{b}^2-4 \mathrm{ac} \\[/tex]

[tex]0 & =4(1+3 \mathrm{k})^2-4 \times[7(3+2 \mathrm{k})] \\[/tex]

[tex]& =9 \mathrm{k}^2+6 \mathrm{k}+1-21-14 \mathrm{k} \\[/tex]

[tex]9 \mathrm{k}^2-8 \mathrm{k}-20 & =0[/tex]

The given equation will have equal roots, if

[tex]9 k^2-8 k-20 & =0 \\[/tex]

[tex](k-2)(9 k+10) & =0 \\[/tex]

[tex]k-2=0 \text[/tex]  and [tex]9 k+10 & =0 \\[/tex]

[tex]k=2 \text[/tex] and  [tex]k & =-\frac{10}{9}[/tex]

Hence, for [tex]$\mathrm{k}=2$[/tex] and[tex]$\mathrm{k}=-\frac{10}{9}$[/tex]given equation will have real and equal roots.

The complete question is,

Find the values of [tex]$\mathrm{k}$[/tex] for which the given equation has real and equal roots

[tex]$$\mathrm{x}^2-2 \mathrm{x}(1+3 \mathrm{k})+7(3+2 \mathrm{k})=0$$[/tex]

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There are 12 possible seating arrangement that Ali, Bonnie, Carlo, and Dianna can seat in a 4 seated car while visiting to a nearby theme park.

There are in total 4 people so the the possible seating arrangement should be 4! = 4*3*2 = 24.

But only 2 people know how to drive a car that is Bonnie and Carlo,

So the remaining seat can be occupied by any three that are remaining beside the driver.

So 3 remaining people can go in the front passenger seat.

There are 2 people who can go in the first back passenger seat.

The remaining person must go in the last seat.

Thus, there are 2x3x2 or 12 ways that they can be seated.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

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Explanation:

x = number of minutes

y = temperature

The equation is

y = 23x+68

The slope 23 tells us how fast the oven is heating up. The 68 is the y intercept, and it's the starting temperature (when x = 0).

We want to find the value of x when y = 275

y = 23x+68

275 = 23x+68

275-68 = 23x

207 = 23x

23x = 207

x = 207/23

x = 9

It takes   9  minutes   for the oven to reach a temperature of 275°F

--------

Check:

y = 23x+68

y = 23*9+68

y = 207+68

y = 275

The answer is confirmed.

It will take 15 minutes to run 2.5 miles at an average speed of 10 miles per hour.

speed is described as. the pace at which an object's location changes in any direction. Speed is defined as the distance traveled divided by the travel time. Speed is a scalar quantity because it just has a direction and no magnitude.

Given, you run at an average speed of 10 mi/h.

Since,

Average speed = 10 mi/h

or in minutes

Average speed = 10/60 = 1/6 miles per minutes

Thus,

to run 2.5 miles it will take:

time = distance/ speed

time taken to run 2.5 miles = 2.5 * 6 =15 minutes

therefore, to run 2.5 miles at the average speed of 10mi/h it will take 15 minutes.

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The nearest multiple of 100 to 350 is 400.

We must determine the smallest value of x that comes the closest to the specified number n given two values, n and x. We must identify a k such that x*k is most similar to n. If we use k = n/x, we may not get the maximum value of k. By comparing the values of floor(n/x)*x and ceil(n/x)*x, we may get the nearest.

Rounding off numbers are discussed here, where we need to round a number. Rounding can be done for every place value of a number.

We round off a number to the closest multiple of hundreds when we want to represent it in hundreds. For instance: 300 is farther from 200 than 225. Thus, 225 is reduced to 200.

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Answer:

SQ

Step-by-step explanation:

radius is half the circumference, which is a line from one side to the other. Half of that is a line to the middle.

Answer: IT IS, substitute x and y in the equation

Also could you mark my answer as brainliest? It helps and doesnt hurt a bit

The measure of each angle is 104° and 76°.

Supplementary refers to angles that come together to form a straight angle. It indicates that when two angles sum up to 180 degrees, they are said to be supplementary angles. If two angles Supplementary one another if,

It has an acute angle on one side and an obtuse angle on the other.

The angles are both right angles.

Given An angle that measures 28° more than the measure of its supplementary angle,

let the angle be x

and  supplementary angle of x =  180 - x

according to condition

x = 28 + 180 - x

2x = 208

x = 208/2

x = 104°

and  supplementary angle of x =  180 - x

 supplementary angle of x =  180 - 104

 supplementary angle of x = 76°

Hence the angles are 104° and 76°.

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the volume of a cone will be 201.06 in³.

What is volume of cone?

The area or volume that a cone takes up is referred to as its volume. Cones are measured by their volume in cubic units such as cm3, m3, in3, etc. By rotating a triangle at any of its vertices, a cone can be created. A cone is a robust, spherical, three-dimensional geometric figure.. Its surface area is curved. The perpendicular height is measured from base to vertex. Right circular cones and oblique cones are two different types of cones. While the vertex of an oblique cone is not vertically above the center of the base, it is in the right circular cone where it is vertically above the base.

So the

V = (1/3)πr²h.

Given, data r = 5yards

h = 8 yards

Volume = 1/3 * π * r ²* h

V = 1/3 * π * 4 ²* 12 =201.06 in³.

Hence, the volume of a cone will be 201.06 in³.

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