The graph shows two lines, Q and S. A coordinate plane is shown with two lines graphed. Line Q has a slope of one half and crosses the y axis at 3. Line S has a slope of one half and crosses the y axis at negative 2. How many solutions are there for the pair of equations for lines Q and S? Explain your answer. (5 points)

The length of the shorter leg will be 2.5 feet and the length of the longer leg is 4.5 feet.

The Pythagoras theorem will be used in calculating the lengths.

This will be:

a = First leg = x

b = Second leg = x + 4

c = Hypothenuse = 7

In this case, the values will be substituted into the formula given below:

a² + b² = c²

x² + (x + 4)² = 7²

x² + x² + 8x + + 16 = 49

Collect like terms

2x² + 8x + 16 - 49

2x² + 8x - 33

By using the quadratic formula, the value of x will be 2.5. This is the shorter leg. The Longer leg will be: 2.5 + 4 = 6.5 feet

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Answer:

B. Mecca's leaders forced Muhammad to leave the city.

Answer:

4.) log2(10)=3x

Step-by-step explanation:

I think it's correct

After performing these calculations using a calculator or a program like Python, MATLAB, or Excel, you will have the values of the first 10 iterations of Newton's method for the given function and initial approximation.

To compute the first 10 iterations of Newton's method for the given function and initial approximation, follow these steps:

1. Write down the function and its derivative:

\(f(x) = 4 * tan(x) - 6 * x  

f'(x) = 4 * sec^2(x) - 6\)
2. Define the initial approximation, X₀ = 1.4.

3. Apply Newton's method formula to find the next approximation, X₁:
  X₁ = X₀ - f(X₀) / f'(X₀)

4. Repeat steps 3-4 for a total of 10 iterations (X₁ to X₁₀).

Note that I'm unable to perform calculations on this platform, but I'll provide a general outline for performing the iterations:

Iteration 1 (X₁):
\(X₁ = 1.4 - (4 * tan(1.4) - 6 * 1.4) / (4 * sec^2(1.4) - 6)\)

Iteration 2 (X₂):
\(X₂ = X₁ - (4 * tan(X₁) - 6 * X₁) / (4 * sec^2(X₁) - 6)\)

Repeat these steps up to the 10th iteration (X₁₀).

After performing these calculations using a calculator or a program like Python, MATLAB, or Excel, you will have the values of the first 10 iterations of Newton's method for the given function and initial approximation.

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18. ∆PQR =~ ∆RPA ( by SAS )

19. ∆DQR =~ ∆PQR ( by AAS )

20. ∆ARO =~ ∆PQO ( by AAS )

Answer:

1=137 2=43 3=137 4=43 5=137 6=43

Step-by-step explanation:

Answer:

3x^2-9y+z+x is the answer.

Step-by-step explanation:

steps to follow:

1:write the question nicely again.

2:collect the like and unlike terms.

3:add subtract them according to their like and unlike terms.

Depending on the size and thickness of the box, a certain amount of metal is required to cast a cubical metal box.

Depending on the size and thickness of the box, a certain amount of metal is required to cast a cubical metal box. In general, more metal is required for larger, thicker boxes. One must first calculate the box's volume in order to determine how much metal is required. The box's length, width, and height can be multiplied together to get this. The thickness of the metal must next be determined. The total amount of metal required can be estimated by multiplying the volume of the box by the thickness of the metal once the volume and thickness of the metal have been established. For instance, consider a box with dimensions of 6 inches long, 6 inches wide, and 6 inches high and a metal thickness.

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The labor productivity of this manufacturing process in terms of dollars per labor hour is $73.47.

To find the labor productivity of this manufacturing process in terms of dollars per labor hour, we need to calculate the total revenue from the tuxedos and divide it by the total number of labor hours.

Total revenue from tuxedos = 96 tuxedos * $225 per tuxedo

                                               = $21,600

Total number of labor hours = 7 employees * 42 hours per employee

                                               = 294 labor hours

Labor productivity = Total revenue / Total number of labor hours

                               = $21,600 / 294 labor hours

                               = $73.47 per labor hour

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Answer:

To determine the number of sheets of cardboard in a stack, we need to use the information given in the problem.

We know that each sheet of cardboard is 1 inch thick, and 16 sheets are stacked on top of each other in packages. The height of each stack is 21 inches.

Using the model of a ruler, we can divide the height of the stack (21 inches) by the thickness of each sheet (1 inch) to find the number of sheets in the stack.

21 ÷ 1 = 21

So, there are 21 sheets of cardboard in a stack.

To write an expression that can be used to determine the number of sheets of cardboard in a stack, we can use:

Number of sheets = height of stack ÷ thickness of each sheet

Or, substituting the given values: Number of sheets = 21 ÷ 1 = 21

This expression is simply a representation of the model we used earlier. It shows that we can determine the number of sheets in a stack by dividing the height of the stack by the thickness of each sheet. In this case, the expression yields the same result as the model, which is 21 sheets.

The probability that it will rain both days is \(\frac{1}{4}\).

According to the question

Mr. and mrs. smith plan to roof the cabin on 2 consecutive days.

Assuming that the chance of rain is independent of the day

Probability is the chance that some event will happen.

It is the ratio of the number of ways a certain event can occur to the number of possible outcomes.

Probability = Number of ways it can occur/Total number of outcomes

Probability of rain on first day = 1/2

Probability of rain on second day = 1/2

Then

Probability of rain on both days = \(\frac{1}{2}\) × \(\frac{1}{2}\) = 1/4

Hence,

The probability that it will rain both days is \(\frac{1}{4}\).

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Answer:

2,996 ÷ 11 = 272.36

Step-by-step explanation:

For given average temperatures and °C=5/9°F-32 C represents temperature unit in celsius.

What is average?

In Maths, an average of a list of data is the expression of the central value of a set of data. Mathematically, it is defined as the ratio of summation of all the data to the number of units present in the list. In terms of statistics, the average of a given set of numerical data is also called mean. For example, the average of 2, 3 and 4 is (2+3+4)/3 = 9/3 =3. So here 3 is the central value of 2,3 and 4.  Thus, the meaning of average is to find the mean value of a group of numbers.

Average = Sum of Values/Number of Values

Also

Suppose, we have given with n number of values such as x1, x2, x3 ,….., xn. The average or the mean of the given data will be equal to:

Average = (x1+x2+x3+…+xn)/n

Now,

Given formula

°C=5/9°F-32, C represents  where °c is temperature unit in Celsius and

°F represents unit of temperature in Fahrenheit.

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Answer:

X= 40

Step-by-step explanation:

if you compare the shapes, the X square is half of 6. so i added 6 and 3, then 2 and 3, then multiplied it, and the answer is 40.

Answer:

1,620

Step-by-step explanation:

you do 108 times 15 and the answer will be 1,620

Answer:

1620

Step-by-step explanation:

The average adult panda weigh is 242 pounds.

Multiplication is a method of finding the product of two or more numbers

Given that new born panda cub weighs only 2.2×10⁻¹ pounds.

As they grow older, adult pandas, on average, weigh 1.1×10³ times more than a newborn panda

Adult Panda =  1.1×10³ ×  2.2×10⁻¹

=1100×  2.2×10⁻¹

=1100×0.22

=242 pounds.

Hence, the average adult panda weigh is 242 pounds.

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Answer:

y=-1/2m+4

Step-by-step explanation:

in photo :)

Answer:

37.7 inches

Step-by-step explanation:

u have the formula so with r being radius just multiply by 2 then multiply that answer by pie and round to the nearest tenth.

The quadratic function is f(x)= x²+1-6

A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero.

If f(x) = y, a quadratic equation is written as;

y = ax²+bx+c

if alpha and beta are the roots of a quadratic equation when y = 0, the the equation of the quadratic is formed by the formula;

x²-(alpha+beta) x + alpha × beta

alpha = -3

beta = 2

alpha × beta = -3×2 = -6

alpha +beta = -3+2 = -1

Therefore the quadratic function = x²-(-1) +(-6)

f(x)= x²+1-6

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Answer:

18

Step-by-step explanation:

3⋅6−2+2​

Use PEMDAS = Parentheses, Exponent, Multiplication, Division, Addition, Subtraction

First we multiply, then add or subtract so,

18 - 2 + 2

Now we subtract,

16 + 2

Now we add,

18

Answer:

R=6

Step-by-step explanation:

Du.mb_a_ss

Answer:

Quadrant IV

Step-by-step explanation:

Answer:

5.6 miles per gallon

Step-by-step explanation:

Equation for Mrs Sanchez: y = 36x

The rate of change = miles/gallon for Mrs Sanchez = 36 miles/gallon

Let's find the rate of change for Mr White:

Rate of change = change in y/change in x

Using two pairs of values form the table given, (2.5, 76) and (5, 152),

Rate of change = (152 - 76)/(5 - 2.5) = 76/2.5

Rate of change = miles/gallon = 30.4 miles/gallon

The difference between the miles per gallon of Mrs Sanchez and Mr White = 36 - 30.4 = 5.6 miles per gallon.

Therefore, Mrs Sanchez gets 5.6 miles per gallon than Me White

The slope of a plot of the natural log of the vapor pressure of a substance versus 1/t is  - e.

What is slope?

\(l_{n} P = \frac{- Delta H_{vol} }{R} ( 1 T ) + C\)

Yy = mx + c

\(m = \frac{- Delta H_{vol} }{R}\)

m = slope

Ans = - e

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Answer:

x = 14

Step-by-step explanation:

6x + 4 = 88

6x = 88 - 4

6x = 84

x = 14

vertical opposite angles are equal therefore

\(6x + 4 = 88 \\ \\ 6x = 88 - 4 \\ 6x = 84 \\ \frac{6x}{6} = \frac{84}{6} \\ x = 14\)

GOODLUCK !!!

The standard form polynomial that represents the product (-2m^3 + 3m^2 - m)(4m^2 + m - 5) is: -8m^5 + 14m^4 - 7m^3 - 3m^2 + 4m - 10

To find the product of the given polynomials, we need to apply the distributive property and multiply each term of the first polynomial with each term of the second polynomial.

(-2m^3 + 3m^2 - m)(4m^2 + m - 5) can be expanded as follows:

-2m^3(4m^2 + m - 5) + 3m^2(4m^2 + m - 5) - m(4m^2 + m - 5)

Applying the distributive property, we have:

-8m^5 - 2m^4 + 10m^3 + 12m^4 + 3m^3 - 15m^2 - 4m^3 - m^2 + 5m + 4m^2 + m - 5

Combining like terms, we get:

-8m^5 + 14m^4 - 7m^3 - 3m^2 + 4m - 10

Therefore, the standard form polynomial representing the product is -8m^5 + 14m^4 - 7m^3 - 3m^2 + 4m - 10.

#Enter the correct answer in the box. What is the standard form polynomial that represents this product?

(-2m3 + 3m2 - m)(4m2 + m - 5)

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Inferential statistic is concerned with making prediction about a population from analyzing a sample or through observation.

Here,

We have to find the concerned with making prediction about a population from analyzing a sample or through observation.

What is Inferential statistic?

Inferential statistics is used in measurements from the sample of subjects in the experiment to compare treatment groups and to make generalizations about the larger population of subjects.

Now,

Inferential statistic is concerned with making prediction about a population from analyzing a sample or through observation.

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