Answer please
y = -2x + 7

Solution for 2a-b=5 equation:

Simplifying

2a + -1b = 5

Solving

2a + -1b = 5

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add 'b' to each side of the equation.

2a + -1b + b = 5 + b

Combine like terms: -1b + b = 0

2a + 0 = 5 + b

2a = 5 + b

Divide each side by '2'. and you get 0.5

Answer:

  24.98 units

Step-by-step explanation:

You want the perimeter of triangle ABC with vertices A(-5, 4), B(1, -2), and C(3,6).

The distance between two vertices can be found using the formula ...

  d = √((x2 -x1)² +(y2 -y1)²)

The  distance between A and B is ...

  d = √((1 -(-5))² +(-2 -4)²) = √(6² +(-6)²) = 6√2 ≈ 8.485

The attached spreadsheet performs the same calculation on all the pairs of points. (The distance from each point to the one below it is listed.)

The perimeter of the triangle is the sum of the segment lengths. That is also shown in the spreadsheet.

  P = AB +BC +CA

  P = 8.485 +8.246 +8.246 ≈ 24.98

The perimeter of triangle ABC is about 24.98 units.

__

Additional comment

When calculations are repetitive, we like to let a spreadsheet do them.

Answer:

6

Step-by-step explanation:

Answer:

Step-by-step explanation:

i think its D sorry if wrong!

1000 cubic millimeters are in a cubic centimeter.

'What is cubic centimeter?'

There are 1000 cubic millimeters in one cubic centimeter (cm³) (mm³). Add 1000 to the cubic cm number to convert it to cubic mm.

For instance, multiplying 10 by 1000 results in 10000 mm3, or how many cubic mm there are in 10 cubic cm.

The volume of small items is measured in cubic centimeters, a tiny unit of measurement. Discover standard units of measurement, the definition of cubic centimeters, how to convert them, and how to measure volume using cubic centimeters. A little cube with sides that are 1 cm long occupies the same amount of space as a cubic centimeter.

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Answer:

  (b) 150 feet

Step-by-step explanation:

You want to know the height of a kite at the end of 225 feet of string, flying at an angle of elevation of 45°.

The 45° angle in the given right triangle tells you this is one of the "special" right triangles. Its side lengths have the ratios ...

  1 : 1 : √2

where √2 is the hypotenuse.

That means the other two legs of this right triangle are ...

  (225 ft)/√2 ≈ 159.099 ft

Rounded to the nearest 50 feet, this is about 150 feet.

__

Additional comment

The sine function relates the angle value to the opposite side:

  Sin = Opposite/Hypotenuse

  Opposite = Hypotenuse · Sin

  height = (225 ft)·sin(45°) = 225 ft/√2 ≈ 159.099 ft

Answer:

644 cm^2

Step-by-step explanation:

10*7*2+12*7*2+12*10=140+168+120=428

10*12-3*3=111

428+111=539

8*3*4+3*3=96+9=105

539+105=644

Answer:

y = 9x - 28

Step-by-step explanation:

The slope is

\(\frac{-10-8}{2-4}=9\)

This eliminates all the options except for y = 9x - 28.

Answer:

its a 2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

First you add 4 to both sides and get

2x=4

then you divide by 2 and get

4/2=x

4/2=2

x=2

Answer:

+2 or -2

Step-by-step explanation:

move 4 after equal sign

now it's x² =4 and put a root on the two parts of equation and this is what you get

The answer to the equation (e^x) + (2^-x) + 2 cos(x) - 6 = 0 accurate to within 10^-5 for 1 ≤ x ≤ 2 is approximately x ≈ 1.3907, obtained using the Secant method.

Secant method to find the solutions to the equation (e^x) + (2^-x) + 2 cos(x) - 6 = 0 for 1 ≤ x ≤ 2.

Step 1:

Choose initial guesses x0 = 1 and x1 = 2.

Step 2:

Calculate f(x0) and f(x1):

f(x0) = (e^1) + (2^-1) + 2 cos(1) - 6 ≈ -3.4687

f(x1) = (e^2) + (2^-2) + 2 cos(2) - 6 ≈ 2.1086

Step 3:

Calculate the next approximation, xn:

xn = x1 - (f(x1) * (x1 - x0)) / (f(x1) - f(x0))

    = 2 - (2.1086 * (2 - 1)) / (2.1086 - (-3.4687))

    ≈ 1.3907

Step 4:

Update the values of x0 and x1:

x0 = x1 = 2

x1 = xn = 1.3907

Repeat steps 2-4 until the desired accuracy is achieved.

Let's perform one more iteration.

Step 2:

Calculate f(x0) and f(x1):

f(x0) = (e^2) + (2^-2) + 2 cos(2) - 6 ≈ 2.1086

f(x1) = (e^1.3907) + (2^-1.3907) + 2 cos(1.3907) - 6 ≈ -0.00001754

Step 3:

Calculate the next approximation, xn:

xn = x1 - (f(x1) * (x1 - x0)) / (f(x1) - f(x0))

    = 1.3907 - (-0.00001754 * (1.3907 - 2)) / (-0.00001754 - 2.1086)

    ≈ 1.3907

Since the calculated xn is the same as the previous iteration, we can conclude that the solution has converged.

Therefore, the solution to the equation (e^x) + (2^-x) + 2 cos(x) - 6 = 0 accurate to within 10^-5 for 1 ≤ x ≤ 2 is approximately x ≈ 1.3907.

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Both investments have the same effective annual yield

To calculate the effective annual yield for different compounding periods, we can use the formula:

Effective Annual Yield = (1 + (interest rate / number of compounding periods))^number of compounding periods - 1

Using this formula, let's calculate the effective annual yields for each scenario:

Semiannually compounded:

Effective Annual Yield = (1 + (0.06 / 2))^2 - 1 ≈ 0.0609 or 6.1%

Quarterly compounded:

Effective Annual Yield = (1 + (0.06 / 4))^4 - 1 ≈ 0.0614 or 6.1%

Monthly compounded:

Effective Annual Yield = (1 + (0.06 / 12))^12 - 1 ≈ 0.0617 or 6.2%

Daily compounded:

Effective Annual Yield = (1 + (0.06 / 360))^360 - 1 ≈ 0.0618 or 6.2%

Compounded 1000 times per year:

Effective Annual Yield = (1 + (0.06 / 1000))^1000 - 1 ≈ 0.0618 or 6.2%

Compounded 100,000 times per year:

Effective Annual Yield = (1 + (0.06 / 100000))^100000 - 1 ≈ 0.0618 or 6.2%

For exercises 29-32, let's calculate the effective annual yields for each investment:

Investment 1: 8% compounded monthly

Investment 2: 8.25% compounded annually

Effective Annual Yield for Investment 1 = (1 + (0.08 / 12))^12 - 1 ≈ 0.0833 or 8.3%

Effective Annual Yield for Investment 2 = (1 + 0.0825)^1 - 1 = 0.0825 or 8.3%

Both investments have the same effective annual yield of 8.3%.

Investment 1: 5% compounded monthly

Investment 2: 5.25% compounded quarterly

Effective Annual Yield for Investment 1 = (1 + (0.05 / 12))^12 - 1 ≈ 0.0512 or 5.1%

Effective Annual Yield for Investment 2 = (1 + (0.0525 / 4))^4 - 1 ≈ 0.0524 or 5.2%

Investment 2 has a higher effective annual yield of 5.2%.

Investment 1: 5.5% compounded semiannually

Investment 2: 5.4% compounded daily

Effective Annual Yield for Investment 1 = (1 + (0.055 / 2))^2 - 1 ≈ 0.0552 or 5.5%

Effective Annual Yield for Investment 2 = (1 + (0.054 / 360))^360 - 1 ≈ 0.0547 or 5.5%

Both investments have the same effective annual yield of 5.5%.

Investment 1: 7% compounded annually

Investment 2: 6.85% compounded daily

Effective Annual Yield for Investment 1 = (1 + 0.07)^1 - 1 = 0.07 or 7.0%

Effective Annual Yield for Investment 2 = (1 + (0.0685 / 360))^360 - 1 ≈ 0.0696 or 7.0%

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Therefore, visually interpreting histograms can be a powerful tool for data analysis, but it is important to be aware of their strengths and limitations.

Histograms are an effective way to display data graphically. They are used to show how often certain values or ranges of values appear in a data set. Visual interpretation of histograms has many strengths and limitations. Some of the strengths of visually interpreting histograms are that they are easy to read and understand, they provide a clear picture of how the data is distributed, and they can help identify outliers or gaps in the data. However, some of the limitations of visually interpreting histograms are that they can be influenced by the number of bins chosen, the way the data is grouped, and the choice of the scale used. Therefore, it is important to carefully consider these factors when interpreting a histogram. In conclusion, visually interpreting histograms can be a powerful tool for data analysis, but it is important to be aware of their strengths and limitations.

Therefore, visually interpreting histograms can be a powerful tool for data analysis, but it is important to be aware of their strengths and limitations.

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Answer:

23760 pounds

Step-by-step explanation:

396 passengers

60 pounds for each passenger

total pounds plane can carry=passengers × pounds

= 396×60

= 23760 pounds

....

(a). The above context-free grammar (CFG) generates the language that has at least five "a's" and any combination of "b's".

(b). The above CFG generates the language {a¹b³c¹|i, j, k ≥ 0 and i =jor i = k}.

(c).  it is ambiguous.

(a). Context-free grammar for L₁ = {w = {a, b}*w contains at least five as}:

S → aaaaaA | aaaaS | bS | aA | bA | ε

A → aA | bAb → bB | ε

B → bB | aB | ε

The above CFG generates the language that has at least five "a's" and any combination of "b's".

(b). Context-free grammar for L₂ = {a¹b³c¹|i, j, k ≥ 0 and i =jor i = k}:

S → AbC | AcB | BCa | CBa

A → aA | ε

B → bBb

B → bBbBbBb

C → cC | ε

C → cC | ε

The above CFG generates the language {a¹b³c¹|i, j, k ≥ 0 and i =jor i = k}.

(c). Yes, the language for b) is inherently ambiguous. It is because there are two variables A and B in the grammar, so the string can be generated in two ways. Thus, it is ambiguous.

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Answer:

669 is the answer to this equation

Step-by-step explanation:

brainliest?

Answer:

669

Step-by-step explanation:

Answer:

x=0

Step-by-step explanation:

If x is 0, then 2x becomes 0. (2.5)^0 would then be 1. 4*1 would give 0 so x=0.

Answer:

Step-by-step explanation:

We can classify triangles by their sides into three types:

1) \(x^2x^3\)

\(=x^{2+3}\)

\(=x^5\\\)

2) \(a^9a\)

\(=a^{9+1}\)

\(=a^{10}\)

3) \(\left(4x^2\right)\left(3x^5\right)\)

\(=4\cdot \:3x^{2+5}\)

\(=4\cdot \:3x^7\)

\(=12x^7\)

\(\huge\mathtt\orange{\underline{\overline{\color{blue}{\mid{\color{green}{Answer}}{\mid}}}}}\)

by using indices rule

which is

\(☞\:{a}^{m}\:×\:{a}^{n}\:=\:{a}^{m\:+\:n}\)

.

\(⟶\:{x}^{2}\:•\:{x}^{3}\)

\(⟶\:{x}^{5}\)

__________________________________

\(⟶\:{a}^{9}\:•\:a\)

\(⟶\:{a}^{10}\)

__________________________________

\(⟶\:{(4x)}^{2}\:•\:{(3x)}^{5}\)

\(⟶\:{12x}^{7}\)

A certain plant grows 1 1/6 inches each week. it will rake the plant to grow 6 1/6 inches is 5 weeks 2 days.

Time is ongoing progression of existence and things that happen in what seems to be an irrevocable order from the past, present, and forward into the future. It is a quantity that is part of several measurements that are used to compare the length of events or the gaps between them, to compare how long they last, to order events, and to measure how quickly the things change in the real world or in our conscious experience. Along with the three spatial dimensions, time is frequently referred to as a fourth dimension.

Time has long been an important subject of study in religion, philosophy, and science, but defining it in a manner applicable to all fields without the circularity has consistently eluded scholars. Nevertheless, diverse fields such as the business, industry, sports, sciences, and the performing arts all incorporate some notion of time into their respective measuring systems.

A certain plant grows every week = \(1\frac{1}{6}\) = \(\frac{7}{6}\) inches

1 week = 7 days

Therefore in 1 day plant grows = \(\frac{\frac{7}{6} }{7}\)

                                                        = \(\frac{1}{6}\) inch

Now we have to calculate the number of days in which the plant grows \(6\frac{1}{6}\)  inches ≈ \(\frac{37}{6}\) inch

Number of days = \(\frac{Total growth}{growth in one day}\)

                          = \(\frac{37}{6}\) ÷ \(\frac{1}{6}\)

                          = \(\frac{37}{6}\)  × 6

                          = 37 days ≈ 5 weeks and 2 days

It will take plant 5 weeks 2 days to grow \(6\frac{1}{6}\) inches.

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Answer:

8         5

---- = ------

6          x

Step-by-step explanation:

We can use a ratio of width over height

8         5

---- = ------

6          x

Answer:

8         5

---- = ------

6          x

A minimum sample size of 121 individuals needs to be surveyed, ensuring a rounded-up value to estimate the proportion of non-graduates within the 25 to 30 age group with a 10% margin of error and 90% confidence.

To determine the sample size required to estimate the proportion of non-graduates within the 25 to 30 age group with a certain level of confidence and margin of error, we can use the formula:

n = (Z^2 * p * (1 - p)) / E^2

Where:

n is the required sample size

Z is the Z-score corresponding to the desired confidence level (90% confidence corresponds to a Z-score of approximately 1.645)

p is the estimated proportion of non-graduates (0.21 based on the information provided)

E is the desired margin of error (10% or 0.10)

Substituting the values into the formula:

n = (1.645^2 * 0.21 * (1 - 0.21)) / 0.10^2

n ≈ 120.41

Rounding up to the nearest integer, the required sample size is 121.

Therefore, you would need to survey at least 121 individuals in the 25 to 30 age group to estimate the proportion of non-graduates within 10% margin of error with 90% confidence.

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Answer:

Student Ticket: $8

Adult $28

Step-by-step explanation:

To find out the price of each ticket create 2 equations, then solve for x & y

x = student tickets

y = adult tickets

25x + 28y = 984

25x + 25y = 900

To do this first put x on one side of the equation

25x = 900 - 25y

x = 36 - y

Now substitute this equation in x for the first equation

25(36 - y) + 28y = 984

Now distribute 25 in 36 - y, 900 - 25y + 28y = 984

After this combine like term, then subtract 900 from each side, 3y = 84

Then divide 3 on each side, y = 28

Lastly substitute 28 for y in any equation to solve for x, x = 8

x & y are the price of each ticket

Answer:

k

Step-by-step explanation:

An expression for m in terms of p is given by:m = p + 5

Given the function B: x + 5, we need to find an expression for m in terms of p.In order to find an expression for m in terms of p, we need to first understand the relation between x and p. Without any context or information given, we cannot directly relate x and p. So, we can assume that there is another function or equation that relates x and p, let's call it function A.Function A: p = 2x + 3 (just an example, not given in the question)Now, we can substitute the expression for x from function A into function B.

This will give us an expression for B in terms of p.B = (2x + 3) + 5 = 2x + 8Now, we can equate this expression for B to m, and solve for x in terms of m. Then, we can substitute this expression for x in terms of m back into function A to get an expression for m in terms of p.m = 2x + 8 => 2x = m - 8 => x = (m - 8)/2Substituting this expression for x back into function A:p = 2x + 3 = 2[(m - 8)/2] + 3 = m - 5

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The location of point N is -20.

We  can see a number line with 3 points.

Here we know taht MN is 2/7 of MP, so first let's find the length of MP.

The length is equal to the difference between the two values, we can see that:

P = -5

M = -26

Then the length of MP is:

-5 - (-26) = 21

And MN is 2/7 of that, then:

(2/7)*21 = 2*3 =6

Then we can write:

N - M = 6

N - (-26) = 6

N = 6 - 26 = -20

The location of N is -20.

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In simplest radicle form, the length of the third side = 9 units.

Given,

Side A = 7 units.

Side B = 4√2 units.

To find Side C, we use the Pythagorean formula,

a² = b² + c²

7² = \(4\sqrt{2}^{2}\) + c²  

c² = 49 + 32

c² = 81

√c² = √81

c = -9,9.

c ≠ -9 as negative values are not considered for dimensions.

Hence, the length of the third side is 9 units.

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Your question is incomplete. The complete question is:

With reference to the figure below,  find the length of the third side. If necessary, write in the simplest radical form.