You're saying 5/6 + 7/8 has the greatest possible value.

How do you know for sure?


Plz help me

Answer:

Options A, C, and F

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

The rule states that:

● | x | < 1 => -1 < x < 1

By anlogy

● | x - 5| < 6 => -6 < x - 5 < 6

● -6 < x - 5< 6

Add 10 both sides to get x + 5 (x-5+10 = x+5)

● -6 + 10 < x - 5 + 10 < 6 + 10

● 4 < x + 5 < 16

So a = 4 and b = 16

By using properties of congruency of triangles, it can be calculated that

20) x = 2

AB = 5 \(\times\) 2 - 3 = 7

AD = 3 \(\times\) 2 + 1 = 7

21) x = 5

\(\angle DEG\) = 5 \(\times\) 5 + 20 = 45

\(\angle FEG\) = 9 \(\times\) 5 = 45

\(\angle\)DEF = 45 + 45 = 90

22) x = 6

\(\angle BAC\) = 3 \(\times\) 6 + 12 = 30

\(\angle DAC\) = 5 \(\times\) 6 = 30

\(\angle BAD = 30 + 30 = 60\)

What is congruency of triangles?

Two triangles are said to be congruent if the corrosponding sides and corrosponding angles are equal.

There are five axioms of congruency. They are

AAS axiom, SAS axiom, ASA axiom, RHS axiom, SSS axiom

20)

In \(\Delta ABC\) and \(\Delta ADC\)

\(\angle B = \angle D\) [90°]

AC is common

\(\angle BCA = \angle DCA\) [given]

So,\(\Delta ABC \cong \Delta ADC\) [AAS axiom]

AB = AD [Corrosponding parts of congruent triangles are congruent]

5x - 3 = 3x + 1

5x - 3x = 3 + 1

2x = 4

x = \(\frac{4}{2}\)

x = 2

AB = 5 \(\times\) 2 - 3 = 7

AD = 3 \(\times\) 2 + 1 = 7

21)

In \(\Delta EDG\) and \(\Delta EFG\)

\(\angle DGE = \angle FGE\) [Given]

GE is common

\(\angle DEG = \angle FEG\) [Given]

So,\(\Delta EDG \cong \Delta EFG\) [ASA axiom]

5x + 20 = 9x

9x - 5x = 20

4x = 20

x = \(\frac{20}{4}\)

x = 5

\(\angle DEG\) = 5 \(\times\) 5 + 20 = 45

\(\angle FEG\) = 9 \(\times\) 5 = 45

\(\angle\)DEF = 45 + 45 = 90

22)

In \(\Delta ABC\) and \(\Delta ADC\)

\(\angle B = \angle D\) [90°]

AC is common

\(\angle BAC = \angle DAC\) [given]

So,\(\Delta ABC \cong \Delta ADC\) [AAS axiom]

3x + 12 = 5x

5x - 3x = 12

2x = 12

x = \(\frac{12}{2}\)

x = 6

\(\angle BAC\) = 3 \(\times\) 6 + 12 = 30

\(\angle DAC\) = 5 \(\times\) 6 = 30

\(\angle BAD = 30 + 30 = 60\).

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Answer:

Therefore, Alex buys 20 cans of corn.

Step-by-step explanation:

Let's assume Alex buys x cans of tomatoes and y cans of corn.

Given that he buys 36 cans in total, we can write the equation:

x + y = 36 ----(1)

The cost of tomatoes per can is 80 cents, and the cost of corn per can is 40 cents. The total cost is $20.8, which can be expressed as 2080 cents.

The cost of the tomatoes (80 cents per can) multiplied by the number of tomato cans (x) gives the cost of tomatoes, and the cost of corn (40 cents per can) multiplied by the number of corn cans (y) gives the cost of corn. The sum of these costs should equal 2080 cents.

80x + 40y = 2080 ----(2)

Now we have a system of equations (equations (1) and (2)) that we can solve to find the values of x and y.

To solve the system, we can use substitution or elimination. Let's use the substitution method here.

From equation (1), we have:

x = 36 - y

Substituting this value of x into equation (2), we get:

80(36 - y) + 40y = 2080

Expanding and simplifying:

2880 - 80y + 40y = 2080

2880 - 40y = 2080

-40y = 2080 - 2880

-40y = -800

y = (-800) / (-40)

y = 20

Therefore, Alex buys 20 cans of corn.

Answer:

20

Step-by-step explanation:

Let x be the number of cans of corn Alex buys.

Then, the number of cans of tomatoes he buys is 36-x.

The cost of the cans of tomatoes is:

\((36 - x) \times 0.80\)

The cost of the cans of corn is:

\(x \times 0.40\) dollars

The total cost is:

\((36-x) \times 0.80 + x \times 0.40 = 20.8 dollars\)

Simplifying the expression, we get:

28.8 - 0.40x = 20.8

0.40x = 8

x = 20

Therefore, Alex buys 20 cans of corn.

hope it helps...

Answer:

a) Non car si le fils a 10 ans la mère a 30 ans et le père 33 or 10+30+33=73

b) Oui car si le fils a 12 ans la mère a 36 ans et le père 39 et 12+36+39=87

Step-by-step explanation:

Answer:

y= -3x+2

Step-by-step explanation:

first we need to put the x and -8 on the same side

12x-4y=-8

-4y=-12x-8

then we need to get what just y equals so we need to divide

y=-12/-4 -8/-4

simplify

y=-3x+2

then we have our answer!

Answer:

A

Step-by-step explanation:

Example of SMART saving goals is "Viletas de $50 each week in almone market."

SMART financial goals should be Specific, Measurable, Achievable, Relevant, Time-based.

Specific :- Your goal should be specific, not generic or vague.

Measurable :- Make your financial goal measurable by quantifying it so you can evaluate your progress and overall success.

Achievable :- The surest way to improve your financial situation is to take achievable steps.

Realistic :- Setting unrealistic goals usually leads to disappointment and surrender.

Time-based:- Give yourself a time frame to achieve the goal.

By observing all these properties of SMART financial goal the example of this goal will be "Viletas de $50 each week in almone market."

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The rug will fit on the floor of Lanie's room. The height of the parallelogram is 12 feet.

To determine if the rug will fit in Lanie's room, we need to compare the dimensions of the rug and the room. The room is a parallelogram with a base of 9 feet, and the area is 108 square feet. To find the height, use the formula for the area of a parallelogram: Area = base × height. For Lanie's room, 108 = 9 × h. Divide both sides by 9 to find the height, h = 12 feet. Now, compare the dimensions of the rug (6 feet wide, 10 feet long) with the dimensions of the room (9 feet base, 12 feet height). The length of the rug (10) is less than the height of the parallelogram (12), and the width of the rug (6) is less than the base of the parallelogram (9). Therefore, the rug will fit on the floor of Lanie's room.

Calculation steps:
1. Area of the parallelogram = base × height
2. 108 = 9 × h
3. h = 108 / 9
4. h = 12 feet
5. Compare dimensions: rug (6 feet wide, 10 feet long) vs room (9 feet base, 12 feet height)

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Answer:

\(-4^{4}\)

Step-by-step explanation:

Reduce the expression -4^2×4^2

Calcualte the product and you get -4^4

If you want the alternative form is will be -256

Hope this helpsʕ•ᴥ•ʔ

The agent must be designed to be able to navigate the hexagonal grid, identify when to push or pull a widget, and rotate in the appropriate direction to complete tasks. HExBOT is a term used to describe hexagonal robots designed to solve certain problems or perform specific tasks.

However, designing a HExBOT agent is not always easy, and there are several challenging aspects that must be considered when designing it. These include the hexagonal grid, the asymmetric cost of actions (pushing is more expensive than pulling a widget), and the rotation of the agent. The hexagonal grid is a challenging aspect of designing a HExBOT agent because it is not the traditional rectangular or square grid used in most robot designs. The hexagonal grid is more complex, and it requires the agent to be able to navigate through it while avoiding obstacles and staying on track.

Additionally, the hexagonal grid requires the agent to be able to rotate around a hexagon, which can be challenging for a robot designed for a rectangular grid.The asymmetric cost of actions is another challenging aspect of designing a HExBOT agent. Pushing a widget requires more energy and effort than pulling a widget, so the agent must be designed to take this into account. Additionally, the agent must be able to identify when it is more efficient to push or pull a widget, and it must be able to do so without wasting energy or time.

The rotation of the agent is also a challenging aspect of designing a HExBOT agent. The agent must be able to rotate around a hexagon, which is not always easy to do. Additionally, the agent must be able to identify when it needs to rotate and in which direction it needs to rotate to complete a task or avoid obstacles.In conclusion, designing a HExBOT agent can be challenging due to the hexagonal grid, the asymmetric cost of actions, and the rotation of the agent.

To overcome these challenges, the agent must be designed to be able to navigate the hexagonal grid, identify when to push or pull a widget, and rotate in the appropriate direction to complete tasks.

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Answer:

Answer: HC, HT, CT

Step-by-step explanation:

2 !DIFFERENT! DRINKS so it can’t be HH, CC, TT

Step-by-step explanation:

.....

Answer:

30

Step-by-step explanation:

3n-2+5n=8n-2

8(4)-2=32-2=30

Answer:

12 - 2 = 10 + 20 = 30

Already simplified it.

Answer:

The missing degree is 60, but the perimeter is 11 cm.

I hope this is correct, if it's incorrect, I'm sorry

The possible number of ways of selection by using combination formula is 3060.

What is combination?

A grouping of items where the order in which they were chosen is irrelevant is known as combination.

Given that the number of people in the group is 18. Only 4 people will be member of the council.

The formula of combination is \(^{n}C_{r}=\frac{n!}{r!(n-r)!}\) , where r number of objects are selected from n objects.

In the given question the value of n is 18 and the value of r is 2.

Substitute the value of n and r in \(^{n}C_{r}=\frac{n!}{r!(n-r)!}\).

\(^{18}C_{4}=\frac{18!}{4!(18-4)!}\)

Solve the above expression:

18^C_4 = 18x17x16x15x14/4x14

18^C_4 = 18x17x16x15/4x3x2x1

3060 18^C_4 = 3060

The number of ways such selection is 3060.

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Answer:

A- congruent (the angles are the same)

B- supplementary (they add together to 180 degrees)

C- congruent (the angles have the same measure)

D- congruent (the angles have the same measure)

E- supplementary (they add together to 180 degrees)

F- congruent (the angles are the same measurement)

G- supplementary (the angles add up to 180 degrees)

H- congruent (the angle measures are the same)

Step-by-step explanation:

Answer:

a:congruent

b:supplementary

c:congruent

d:congruent

e:supplementary

f:congruent

g:supplementaruy

h:congruent

Step-by-step explanation:

36 centimeters is equal to 14.17 inches.

In order to understand the conversion of centimeters (cm) to inches, it is important to know that there are 2.54 centimeters in one inch. This means that to convert centimeters to inches, you simply need to divide the number of centimeters by 2.54.

So, to convert 36 centimeters to inches, you would divide 36 by 2.54. When you do this calculation, you get 14.17 inches. So,

In summary, to convert centimeters to inches, you simply need to divide the number of centimeters by 2.54. 36cm is equal to 14.17 inches, 100cm is equal to 39.37 inches and 20cm is equal to 7.87 inches.

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it displays the computed sum and product of the diagonal elements.

Here's a MATLAB code to find the sum and product of the diagonal elements of a given matrix `A`, as well as an example execution for `A = ones(5)`:

```matlab

% Define the matrix A

A = ones(5);

% Get the size of the matrix

[n, ~] = size(A);

% Initialize variables for sum and product

diagonal_sum = 0;

diagonal_product = 1;

% Calculate the sum and product of diagonal elements

for i = 1:n

   diagonal_sum = diagonal_sum + A(i, i);

   diagonal_product = diagonal_product * A(i, i);

end

% Display the results

disp("Sum of diagonal elements: " + diagonal_sum);

disp("Product of diagonal elements: " + diagonal_product);

```

Example execution for `A = ones(5)`:

```

Sum of diagonal elements: 5

Product of diagonal elements: 1

```

In this example, `A = ones(5)` creates a 5x5 matrix filled with ones. The code then iterates over the diagonal elements (i.e., elements where the row index equals the column index) and accumulates the sum and product. Finally, it displays the computed sum and product of the diagonal elements.

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Step 1

Use the law that the sum of angles on a straight line is 180° to find y given that x = 42°

Step 2

Using the law

x + y = 180°

After substitution

42 + y = 180

y = 180 - 42

y =138°

Answer: 4.6 cm

Step-by-step explanation:

Given

Volume of water \(V=1\ L\ \text{or}\ 1000\ cm^3\)

The height of the water is \(h=15\ cm\)

The volume of the cylinder is \(\pi r^2h\)

Insert the values

\(\Rightarrow 1000=\pi (r^2)15\\\\\Rightarrow r^2=\dfrac{1000}{3.142\times 15}\\\\\Rightarrow r^2=\dfrac{1000}{47.13}\\\\\Rightarrow r^2=21.217\\\Rightarrow r=4.6\ cm\)

The correct answer is- we need to add 200 millilitres of 100% detergent to 200 millilitres of 7% detergent to make a 14% detergent solution.

Let the volume of 100% detergent be x millilitres.

Thus, the initial amount of detergent present in the solution is 0.07 × 200 = 14 millilitres.

We need to determine the amount of 100% detergent required to make the solution 14% of detergent.

Thus, the total volume of the new solution is (200 + x) millilitres.

Since the final concentration of the solution is 14%, the amount of detergent in the new solution is 0.14(200 + x).

According to the problem, the amount of detergent added is x millilitres of 100% detergent.

Hence, we can express the amount of detergent in the new solution as follows:14 + x = 0.14(200 + x)

Solving for x, we get x = 200 millilitres.

The amount of 100% detergent required to make the solution 14% of detergent is 200 milliliters.

Therefore, the total volume of the new solution is 200 + 200 = 400 millilitres.

Hence, we need to add 200 millilitres of 100% detergent to 200 millilitres of 7% detergent to make a 14% detergent solution.

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Answer:

x = 11

y = 2

n = 4

Step-by-step explanation:

Three equations

Look for x

Look for y

Look for n

__________________

Note that all of these are questions can be answered through isolating the variable.

Let's start with x :

Get x alone :

2(x + 5) = 3x + 1

Distribute :

(2(x) + 2(5))

2x + 10 = 3x - 1

Add 1 to both sides of the equation :

2x + 11 = 3x

Subtract 2x from both sides :

11 = x

x = 11

Next is y :

Isolate y :

3y - 4 = 6 - 2y

Add 4 to both sides :

3y = 10 - 2y

Add 2y to both sides :

5y = 10

Divide 5 from both sides to get y by itself :

y = 2

Lastly is n :

Isolate n :

3(n + 2) = 9(6 - n)

Distribute :

(3(n) + 3(2)) = (9(6) - 9(n))

3n + 6 = 54 - 9n

Subtract 54 from both sides :

3n - 48 = -9n

Subtract 3n from both sides :

-48 = -12n

-12n = -48

Divide -12 from both sides :

n = 4

The dimensions of a rectangular box with a volume of 50 cubic inches that has the greatest amount of surface area are:

length = 5 in,

height = 5 in.

and width = 2 in

Let us assume that l be the length, w be the width and h be the height of the rectangular gift box.

The dimensions of a box with a volume of 50 cubic inches.

We know that the formula for the volume of rectangular box is:

V = l × w × h

here V = 50

After prime factorization,

V = 5 × 5 × 2

As length and width cannot be equal, the height and length of the rectangular box must be 5 in.

S0, l = 5 in, h = 5 in and w = 2 in

We know that formula for the surface area of rectangular prism is:

S = 2(lw + wh + lh)

Substituting above values of l,w, h,

S = 2(5 × 2 + 2 × 5 + 5 × 5)

S = 2 × (10 + 10 + 25)

S = 2 × 45

S = 90 in²

which is the greatest surface area = 90 in²

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Answer:

I believe that it is 150 per month but im not sure

Step-by-step explanation:

150 * 3 = 300

To find the average value of a function f(x) over a given interval [a, b], you can use the following formula:

Average value of f(x) = (1 / (b - a)) * ∫[a to b] f(x) dx

In this case, we want to find the average value of f(x) = √x over the interval [0, 4]. Applying the formula, we have:

Average value of √x = (1 / (4 - 0)) * ∫[0 to 4] √x dx

Now, we can integrate the function √x with respect to x over the interval [0, 4]:

∫√x dx = (2/3) * x^(3/2) evaluated from 0 to 4

         = (2/3) * (4^(3/2)) - (2/3) * (0^(3/2))

         = (2/3) * 8 - 0

         = 16/3

Substituting this value back into the formula, we get:

Average value of √x = (1 / (4 - 0)) * (16/3)

                          = (1/4) * (16/3)

                          = 4/3

Therefore, the average value of f(x) = √x as x varies between [0, 4] is 4/3.

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The estimated change in yy using differentials is -0.00679. This means that if xx is increased by 0.005, then yy is estimated to decrease by 0.00679. The differential of yy is dy=-5sin(5x)dxdy=−5sin⁡(5x)dx. We are given that y=cos(5x)=π/30y=cos⁡(5x)=π/30 and x=0.055x=0.055.

We want to estimate ΔyΔy, which is the change in yy when xx is increased by 0.005. We can use the differential to estimate ΔyΔy as follows:

Δy≈dy≈dy=-5sin(5x)dx

Plugging in the values of y, x, and dxdx, we get:

Δy≈-5sin(5(0.055))(0.005)≈-0.00679

Therefore, the estimated change in yy using differentials is -0.00679.

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Answer: -12

Step-by-step explanation: 8 - 5 / (1/2) * 2

We need to follow PEMDAS.

8 - 5 / (1/2) * 2

8 - 10 * 2

8 - 20

-12

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Answer:

0.00325

Step-by-step explanation:

0.325/100

Step-by-step explanation:

-1/4, -1/5, -1/6, -1/7, -1/8, 1/8, 1/7, 1/6, 1/5, 1/4