Please please I’m beginning you!

The linear equation doesn't have a solution.

The linear equation given is illustrated as: 4x-(2x-1) = x+5+x-6

This will be solved thus:

4x - 2x + 1 = x+5+x-6

4x - 2x + 1 = 2x - 1.

2x + 1 = 2x - 1

Collect like terms

2x - 2x = -1 - 1

0 = -2

This illustrates that the equation doesn't have a solution.

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Answer:

43 degrees

Step-by-step explanation:

A line is 180

180-86= 94

Since both angles are equal to each other. Split 94

94/2 = 47

90 degrees for the other side.

one triangle is 180 total.

add it up and subtract 180 to find the missing angle.

180 - 47+90 = 43

Answer:

sorry im not so sure about the anwer.

Step-by-step explanation:

...........

Answer:

3 Whole pieces

Step-by-step explanation:

A turkey was cut into 10 equal pieces.

For Katie

If Katie ate 2/10 of the turkey

Number of Whole pieces of turkey Katie ate =

2/10 × 10 whole pieces = 2 whole pieces

For Lorenzo

Lorenzo ate 5/10 of the turkey

Number of Whole pieces of turkey Lorenzo ate =

5/10 × 10 whole pieces = 5 whole pieces

how many whole pieces of the turkey are left?

This is calculated as:

10 pieces - (2 piece + 5 pieces)

10 pieces - 7 pieces

= 3 pieces

Therefore, we have 3 whole pieces of turkey left.

Answer:

3 Whole pieces

Step-by-step explanation:

A turkey was cut into 10 equal pieces.

For Katie

If Katie ate 2/10 of the turkey

Number of Whole pieces of turkey Katie ate =

2/10 × 10 whole pieces = 2 whole pieces

For Lorenzo

Lorenzo ate 5/10 of the turkey

Number of Whole pieces of turkey Lorenzo ate =

5/10 × 10 whole pieces = 5 whole pieces

how many whole pieces of the turkey are left?

This is calculated as:

10 pieces - (2 piece + 5 pieces)

10 pieces - 7 pieces

= 3 pieces

Therefore, we have 3 whole pieces of turkey left.

Answer:

Exponents =

3² x 3^-1 equivalent to 3

why?

let's simplify,

in formula :

\(a^b × a^c = a^{b + c}\)

\(3^2 × 3^{-1}= 3^{2 + (-1)}\)

\(3^2 × 3^{-1}= 3^{1}\)

when 3¹ is equivalent to 3

z_1 and z_2 are complex number;

i) z₁z₂ = 8(cos(7π/12) + isin(7π/12))

ii) z₁/z₂ = 2(cos(π/12) + isin(π/12))

To calculate z₁z₂ and z₁/z₂, we need to perform the complex number operations on z₁ and z₂. Let's break down the calculations step by step:

i) To find z₁z₂, we multiply the magnitudes and add the angles:

z₁z₂ = 4cos(cos(π/4) + isin(π/4)) * 2cos(2π/3) + isin(2π/3))

= 8cos((cos(π/4) + 2π/3) + isin((π/4) + 2π/3))

= 8cos(7π/12) + isin(7π/12)

ii) To find z₁/z₂, we divide the magnitudes and subtract the angles:

z₁/z₂ = (4cos(cos(π/4) + isin(π/4))) / (2cos(2π/3) + isin(2π/3))

= (4cos((cos(π/4) - 2π/3) + isin((π/4) - 2π/3))) / 2

= 2cos(π/12) + isin(π/12)

i) z₁z₂ = 8(cos(7π/12) + isin(7π/12))

ii) z₁/z₂ = 2(cos(π/12) + isin(π/12))

Please note that the given calculations are based on the provided complex numbers and their angles.

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Answer:

○ \(\displaystyle 12,9\)

Step-by-step explanation:

Use the Law of Sines to find the length of the second edge:

Solving for Angles

\(\displaystyle \frac{sin\angle{C}}{c} = \frac{sin\angle{B}}{b} = \frac{sin\angle{A}}{a}\)

Use \(\displaystyle sin^{-1}\)towards the end or you will throw your result off!

Solving for Edges

\(\displaystyle \frac{c}{sin\angle{C}} = \frac{b}{sin\angle{B}} = \frac{a}{sin\angle{A}}\)

Let us get to wourk:

\(\displaystyle \frac{a}{sin\:40} = \frac{10}{sin\:30} \hookrightarrow \frac{10sin\:40}{sin\:30} = x; 12,855752194... \\ \\ \boxed{12,9 \approx x}\)

I am joyous to assist you at any time.

Answer:

tan x° = 56.31°

Step-by-step explanation:

6/4= 1.5

hence x° = 56.31

Answer:

3

Step-by-step explanation:

Since we already know c, so we need to find b.

c² = a² + b²

5² = 4² + b²

b² = 5² - 4²

b² = 25 - 16

b² = 9

b = 3

The output when the given pseudocode is executed with A = 5 and B = 3 will be "25, 16, 9, 4, 1".

The given pseudocode includes a loop that iterates as long as A is greater than or equal to B. In each iteration, the square of A is displayed, and A is decremented by 1. We are asked to determine the output when A is initially 5 and B is 3.

Step 1: Initialization

A is set to 5 and B is set to 3.

Step 2: Iteration 1

Since A (5) is greater than or equal to B (3), the loop executes.

The square of A (5²) is displayed, resulting in the output "25".

A is decremented by 1, so A becomes 4.

Step 3: Iteration 2

A (4) is still greater than or equal to B (3).

The square of A (4²) is displayed, resulting in the output "16".

A is decremented by 1, so A becomes 3.

Step 4: Iteration 3

A (3) is still greater than or equal to B (3).

The square of A (3²) is displayed, resulting in the output "9".

A is decremented by 1, so A becomes 2.

Step 5: Iteration 4

A (2) is still greater than or equal to B (3).

The square of A (2²) is displayed, resulting in the output "4".

A is decremented by 1, so A becomes 1.

Step 6: Iteration 5

A (1) is still greater than or equal to B (3).

The square of A (1²) is displayed, resulting in the output "1".

A is decremented by 1, so A becomes 0.

Step 7: Loop termination

Since A (0) is no longer greater than or equal to B (3), the loop terminates.

Therefore, The output generated by the code execution will be "25, 16, 9, 4, 1" as the squares of A (starting from 5 and decreasing by 1) are displayed in each iteration of the loop.

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Using the fact that the triangles are similar, we will see that:

x = 5.626

On the image we can see two triangles, such that one is inscribed on the other.

Just because of that, it is obvious that the two triangles are similar.

And because the triangles are similar, the quotients between correspondent sides must be equal, that allows us to write the equation:

3/x = 8/15

The quotient is "left side over the bottom side"

We can solve that equation for x:

3/x = 8/15

3 = (8/15)*x

(15/8)*3 = x

45/8 = x

5.625 = x

That is the value of x.

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After doing the equitation the at rate of $15 per week.

How to do graph representation?

Graph representation is a way of visualizing data as a graph or chart. It is used to easily identify relationships between data points and to illustrate trends in the data. Graphs can be used to present data in a variety of ways, such as bar graphs, line graphs, pie charts, scatter plots and more. Graphs are especially useful when trying to compare two or more sets of data and to highlight any patterns or trends that may exist. Additionally, graphs are often used to represent numerical data in a more visually appealing way. By using graphs, it is easier to identify relationships, trends and outliers in the data. Graphs also help to make data easier to interpret and understand.

Carson owes = $110

At rate of $15 per week.

The graph representation will follows:

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The questions that could be used to challenge each claim goes as follows.

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The equation of tangent plane is -x + 2x - 1 = 0

Given,

r = < u² , 8usinv , ucosv >

Here,

r = < u² , 8usinv , ucosv >

Differentiate partially with respect to u and v,

\(r_{u}\) = < 2u , 8sinv , cosv >

\(r_{v}\) = < 0, 8ucosv , -4sinv >

Substitute u = 1 and v = 0

\(r_{u}\) = < 2, 0 , 0 >

\(r_{v}\) = < 0 , 8 , 0 >

Now,

N = \(r_{u}\) × \(r_{v}\)

N = \(\left[\begin{array}{ccc}i&j&k\\2&0&1\\0&8&0\end{array}\right]\)

N = -8i -j(0) +16k

N = < -8 , 0 , 16 >

Tangent plane

-8x + 16z + d = 0

Coordinates of tangent plane : <1, 0 ,1>

Substitute the values in the equation,

-8(1) + 16 (1) + d = 0

d = -8

Substitute in the tangent plane equation,

-8x + 16z - 8 = 0

-x + 2x - 1 = 0

Thus equation of tangent plane: -x + 2x - 1 = 0

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(3, -2) is a solution to the system of equations x - 2y = 7 and 2x + 3y = 0, (3, -2) is not a solution to the system of equations  -x - y = -5 and 3x - 4y = 17 and (3, -2) is not a solution to the system of equations x + y = 1 and x - y = 6

The systems of equations are given as:

1. x - 2y = 7 and 2x + 3y = 0

2. -x - y = -5 and 3x - 4y = 17

3. x + y = 1 and x - y = 6

Next, we substitute (3, -2) for (x, y) in the system of equations.

So, we have:

1. x - 2y = 7 and 2x + 3y = 0

3 - 2 * -2 = 7 and 2 * 3 + 3 * -2 = 0

Evaluate

7 = 7 and 0 = 0

The above equation is true

Hence, (3, -2) is a solution to the system of equations x - 2y = 7 and 2x + 3y = 0

2.- x - y = -5 and 3x - 4y = 17

-3 + 2 = -5 and 3 * 3 + 4 * 2 = 17

Evaluate

- 1 = - 5 and 1 7 = 1 7

The above equation is false

Hence, (3, -2) is not a solution to the system of equations  -x - y = -5 and 3x - 4y = 17

3. x + y = 1 and x - y = 6

3 - 2 = 1 and 3 + 2 = 6

Evaluate

1 = 1 and 5 = 6

The above equation is false

Hence, (3, -2) is not a solution to the system of equations x + y = 1 and x - y = 6

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Answer:

at noon the temperature was -0.1 *C

Step-by-step explanation:

Answer:

20.07 cm³

Step-by-step explanation:

Volume of Cylinder = 1.54 liters = 1540 cm³.

Area of its base = 77 cm².

πr² = 77

(22/7) * r² = 77

r = 4.94

Now,

Volume of cylinder = πr²h

⇒ 1540 =  (22/7) * (4.94)² * h

⇒ h = 20.07 cm³

Answer:

8

Step-by-step explanation:

A ball is rolled uphill a distance of 4 meters

The ball rolls downhill 12 meters before coming to rest

Therefore the ball displacement can be calculated as follows

= 12-4

= 8

Hence the displacement is 8

Answer:

8

Step-by-step explanation:

Answer:

a) 167 cups

b) 4 packages

Step-by-step explanation:

Given:

Diameter, d = 8cm

Height, h = 11 cm

10 gallon container

Since 1 gallon = 3085cm, 10 gallons will be:

= 10 * 3085 = 30850 cm

a) Consider that the shape of the cup is a cone. To determine how many paper cups are needed to empty the entire 10 gallon cooler, let's first find the volume of the cone.

Formula for volume of a cone:

\( V = \frac{1}{3} \pi r^2 h\)

We know radius, r = d/2 = 8/2 = 4cm

Substituting figures in the formula, we have:

\( V = \frac{1}{3} \pi 4^2*11\)

V = 184.31 cm³

The number of paper cups are needed to empty the entire 10 gallon cooler would be:

\( = \frac{30850}{184.31} = 167.38 cups \)

Approximately 167 cups

b) if the cups are sold in packages of 50, the number of packages to be bought will be:

\( = \frac{167}{50} = 3.34 \)

Which is approximately 4 packages

Answer:

Step-by-step explanation: 13 is a prime number because Its only divisors are 1 and 13.

13 is a prime number because It can only be divided by 1 and 13.

What are prime numbers?

Prime numbers are natural numbers that are divisible by only 1 and the number itself. In other words, prime numbers are positive integers greater than 1 with exactly two factors, 1 and the number itself. Some of the prime numbers include 2, 3, 5, 7, 11, 13, etc. Always remember that 1 is neither prime nor composite. Also, we can say that except for 1, the remaining numbers are classified as prime and composite numbers. All prime numbers are odd numbers except 2, 2 is the smallest prime number and is the only even prime number.

First Ten Prime Numbers

The first ten prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29.

Now,

As 13 has only two factors, 1 and 13.

Hence,

          It is a prime number.

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Answer:

Step-by-step explanation

Remark

The likelihood of an event happening is 28 times out of a hundred.

The chances of it not happening is 72 chances out of a hundred.

Answer:

Unlikely!

Step-by-step explanation:

Answer:

the probability, rounded to one decimal place, that a student is on the sports team given that the student plays an instrument is approximately 39.4%.

Step-by-step explanation:

The total number of pieces that Preston's brother has left is 24.

What is the subtraction operation?

In mathematics, the operation of eliminating items from a collection is represented by the subtraction operation. The negative symbol (-) is used to denote subtraction.

Given, Preston and his brother collected 53 pieces of candy.

Each of them ate 5 pieces of candy.

And, Preston had 19 pieces left.

The number of candies Preston's brother have left = 53 - (5*2 + 19) = 24

Hence, the total number of pieces that Preston's brother has left is 24.

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Zoe walks from her house to a bus stop that is 460 yards away. The varying distances would depend on where Zoe begins her walk. if she starts closer to the bus stop, she would walk a shorter distance.

The varying distances would refer to the different distances Zoe might walk on different occasions. For example, she might take different routes or make detours, causing the actual distance she walks to vary.

However, without more information about Zoe's specific routes or circumstances, it is not possible to provide more detailed information about the varying distances.

However, if she starts closer to the bus stop, she would walk a shorter distance.

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Answer:

\(\huge\boxed{x=8;\ y=1\to(8;\ 1)}\)

Step-by-step explanation:

\(\left\{\begin{array}{ccc}y=x-7&(1)\\5+2y=7&(2)\end{array}\right\\\\\text{Substitute (1) to (2) and solve for x:}\\\\5+2(x-7)=7\qquad\text{use the distributive property}\\\\5+(2)(x)+(2)(-7)=7\\\\5+2x-14=7\\\\2x+(5-14)=7\\\\2x-9=7\qquad\text{add 9 to both sides}\\\\2x-9+9=7+9\\\\2x=16\qquad\text{divide both sides by 2}\\\\\dfrac{2x}{2}=\dfrac{16}{2}\\\\\boxed{x=8}\)

\(\text{Substitute it to (1):}\\\\y=8-7\\\\\boxed{y=1}\)

Answer:

(8, 1).

Step-by-step explanation:

y = x - 7

5 + 2y = 7

5 + 2(y) = 7

5 + 2(x - 7) = 7

5 + 2x - 14 = 7

Subtract 5 from both sides

2x - 14 = 2

Add 14 to both sides

2x = 16

Divide both sides by 2

x = 8

Since x = 8...

y = x - 7

y = 8 - 7

y = 1.

To check our work...

5 + 2y = 7

5 + 2 * 1 = 7

5 + 2 = 7

7 = 7

Since it works out, your answer is (8, 1).

Hope this helps!

Answer:

Step-by-step explanation:

area of the square =10*10=100

area of the circle =pi r^2=pi*1^2=3.142

part a

p(hitting the circle =3.142/100=0.03142 Which is closer to 0

part b

p( hitting the white portion ) =1-0.03142=0.96858 which is closer to 1

Answer:

Wendy should train 100% harder and he'll get that dart inside the circle

Step-by-step explanation:

The concentration of the resulting sodium chloride solution is 12.431 g/L (or 12.4 g/L when rounded to one decimal place).

To calculate the concentration, we first need to determine the mass of sodium chloride in the solution. The mass of the weighing boat was found to be 0.5132 g. After adding sodium chloride, the combined mass of the weighing boat and sodium chloride was measured to be 1.7563 g. Therefore, the mass of sodium chloride in the solution is the difference between these two measurements:

Mass of sodium chloride = 1.7563 g - 0.5132 g = 1.2431 g

Next, we need to convert this mass to grams per liter (g/L). The solution was prepared in a 100 mL volumetric flask, which means the concentration needs to be expressed in terms of grams per 100 mL. To convert to grams per liter, we can use the following conversion factor:

1 g/L = 10 g/100 mL

Applying this conversion, we find:

Concentration of sodium chloride = (1.2431 g / 100 mL) * (10 g / 1 L) = 12.431 g/L

Rounding to one decimal place, the concentration of the resulting sodium chloride solution is 12.4 g/L.

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it equals -8.

4k + 13 = 3k + 5

4k + 13 - 13 = 3k + 5 - 13

4k = 3k - 8

4 k  −  3 k  = 3k - 8 - 3k

k = -8