Use the order of operations to order the steps to evaluate the expression (60+15)/3-2(4)+2^3

Step-by-step explanation:

2√5 -√5 +4√5 +√3

2-1+4√5 +√3

5√5 + √3

Answer:

slope=x^2-x^1/y^2-y^1

this is the formula.

Answer:

D. f(x) = 8x

Step-by-step explanation:

At each increasing x point, the y point increases by 8, this means that for each x increasing by 1, y increases by 8, which means y = 8x

Answer:

Fourth choice, f(x) = 8x

Step-by-step explanation:

y is going up or down and x is left or right, u riht the slope like y/x

so it's going up 8 units every 1 unit it goes to the right so it's 8/1 which is 8 so 8 is ur slope

Answer:

Volume or amount to f water in a jug

The size of a plot of land.

Step-by-step explanation:

The volume of capacity which a certain container can hold such as ; The amount water which can be filled into a cylindrical jug will be measured in cubic units as it requires the multiplication of 3 measured sides of the container ; for a cylinder, radius is squared and multiplied by height. (radius * radius * height).

The size or area of rectangular garden is measured using in square units as it only takes into consideration 2 of the measured parts of a shape.

To reduce the answer to decimals with four digits, we use both the `format function` and the `round function` in Python. In the given expression س 17 / 2.5 درجة, we need to divide 17 by 2.5 and then reduce it to decimals with four digits. The steps below are used in Python to reduce the answer to decimals with four digits. Step 1: We start by evaluating the expression using Python. For this, we use the division operator `/`. س 17 / 2.5 درجة evaluates to 6.8, which is the division of 17 by 2.5. To assign this value to a variable, we can write the following code: `result = 17 / 2.5`Step 2: We then use the `format function` to reduce the number of decimal places in the result to four. The `format function` is used as follows:'result = "{:.4f}".format(result)`The `:.4f` part in the above code specifies that we want to format the result with four decimal places. Step 3: Finally, we use the `round function` to ensure that the last digit in the result is rounded up if it is greater than or equal to five. The `round function` is used as follows:'result = round(float(result), 4)`The second argument of the `round function` specifies that we want to round the result to four decimal places. The `float` function is used to convert the result from a string to a float data type. Therefore, the answer to the given question "س 17 / 2.5 درجة To reduce the answer to decimals with 4 digits, we use" "Both the format function and the round function".

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Answer: 3 equations

Step-by-step explanation:

The 4th one doesn’t work for both pairs.

1st : 3 - 7 = -4 | 5 x 2 = 10 5 x 4 = 20

10 - 20 = -10.  

-4 does not equal -10

2nd equation : -7 - 7 = -14  

5 x 4 = 20| 5 x 4 = 20 20 - 20 = 0

-14 does not equal 0

The only one equation that represents the line passing through both points is y = -x + 5. which is the correct answer that would be an option (D).

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

To determine the number of the given equations representing the line passing through the points (2,3) and (4,-7), you can substitute the coordinates of these points into the equations and see if they are satisfied.

If an equation is satisfied by both points, then the line described by that equation passes through both points.

Here are the given equations:

A. y = 3x + 5

B. y = -7x + 1

C. y = x + 1

D. y = -x + 5

E. y = -1/3x + 1

Substituting the coordinates of the point (2,3) into each of these equations, we find that equations A, C, and D are satisfied by this point.

Substituting the coordinates of the point (4,-7) into each of these equations, we find that equations B and D are satisfied by this point.

Therefore, the only one equation that represents the line passing through both points is D. Thus, the answer is 1.

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The question seems to be incomplete the correct question would be

how many of the equations listed below represent the line passing through both points (2,3) and (4,-7).

A. y = 3x + 5

B. y = -7x + 1

C. y = x + 1

D. y = -x + 5

E. y = -1/3x + 1

Simplify using distributive property

xy+x+y^2+3y+2

Answer: xy+y2+x+3y+2

Step-by-step explanation: =(x+y+2)(y+1)

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

=xy+x+y2+y+2y+2

=xy+y2+x+3y+2

Answer:

A

Step-by-step explanation:

Let T represent the total number of turtle nests found during the season.

The 28 turtle nests was 40% of 0.4 of the total. Therefore:

\(28=0.4T\)

So, to find T, divide both sides by 0.4:

\(T=70\)

So, the total number of turtle nests the group found during tthe season was 70.

Hence, our answer is A.

The number of months where they will both have same amount in their accounts is 40 months.

From the information given, the function f(t) = 10t + 500 models the amount of money in Abby’s account over time and the function g(t) = 11.25t + 450 models the amount of money in Lexi’s account over time.

It should be noted that the number of years when there value will be the same is:

10t + 500 = 11.25t + 450

Collect like terms

11.25t - 10t = 500 - 450

1.25t = 50

Divide

t = 50/1.25

t = 40

In 40 months, Abby and Lexi will have same amount.

Note that an overview was given as the information is incomplete.

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Finally ahmod will have 4 nickels and 10 dimes.

Ahmod has two times as many dimes as nickels.

They have a combined value of 100 cents.

Group all coins in sets by grouping each nickel with 2 dimes.

Each set, containing 1 nickel and 2 dimes, is worth 5 + 2*10 = 25 cents.

You will have 100/25 = 4 such groups

As we have 4 such groups at last ahmod will have 4 nickels and 10 dimes.

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Answer:

15n +8 < -10n-12

Step-by-step explanation:

The numerical or verbal descriptions that usually result from measurements are called data or observations.

When measurements are conducted, whether in scientific experiments, surveys, or other data collection processes, the outcome is typically a set of data or observations.

These measurements can be represented numerically, such as numerical values or quantities, or verbally, using descriptive terms or categories.

Numerical descriptions provide precise quantitative information, such as measurements of length, weight, temperature, time, or any other measurable attribute. These measurements are often expressed using numbers or units of measurement.

Verbal descriptions, on the other hand, use words or qualitative descriptions to convey information about the observations.

For example, when conducting a survey, respondents might provide verbal responses that describe their opinions, preferences, or experiences.

Both numerical and verbal descriptions play important roles in data analysis and interpretation.

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Answer:

1

Step-by-step explanation:

Any number raised to the power of 0 equals to 1.

Both the numbers are not zero of the given polynomial.

The given function is,

f(x)=3x³+11x²-14x+30

And its zeroes are -5,4

To use synthetic division, we'll set up the coefficients of the polynomial function in a table, with the number we're testing as a zero at the side. It should look like this:

-5          3          11          -14          30

We start by bringing down the first coefficient, which is 3. Then, we multiply that coefficient by the zero we're testing, which is -5, and put the result in the next column:

-5          3          11          -14          30

                 -15

Next, we add the two numbers in the second column, which gives us -15 + 11 = -4. We write that number in the next column:

-5          3          11          -14          30

                 -15         -4

We multiply -4 by -5, which gives us 20. We add that to the next column, which gives us 6:

-5          3          11          -14          30

                 -15       -4             6

Finally, we multiply 6 by -5, which gives us -30. We add that to the last column, which gives us 0:

-5          3          11           -14          30

                -15             -4             6

     3          -4               0           36

Our resulting table shows us the coefficients of the quotient polynomial, which is 3x² - 4x + 6. Since the last number in the table is not zero, -5 is not a zero of the polynomial function f(x).

We can repeat the process with 4:

4         3         11         -14         30

4         3         11         -14         30

              12  

4         3         11         -14         30

               12         68

4         3         11         -14         30

    3         23         54         228

Again, the last number in the table is not zero, so 4 is not a zero of the polynomial function f(x).

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Answer:

36² metres

Step-by-step explanation:

I'm assuming you mean 6 metre wide/long floor. Area is L*W so 6*6

The root of this equation is determined to be approximately 0.567143.The root is found to be approximately -0.673253.

The Newton-Raphson method is an iterative numerical technique used to find the roots of equations. In the first equation, y = f(x) = e^x - x, the initial approximation x0 is set to 0. By applying the Newton-Raphson method, successive approximations of the root are calculated until convergence is achieved. The root of this equation is determined to be approximately 0.567143.

In the second equation, x^3 + 2x^2 + 6x + 3 = 0, the root is sought within the range (-1, 0). The Newton-Raphson method is employed again, starting with an initial approximation x0 of -1. Through iterative calculations, the root is found to be approximately -0.673253.

Both equations demonstrate the effectiveness of the Newton-Raphson method in finding roots within specific ranges by iteratively refining approximations until a satisfactory solution is obtained.

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Answer:

7) 8.94

8) 6.71

Step-by-step explanation:

for both questions, use pythagorean theorem

\(a^{2} + b^{2} = c^{2}\)

Question 7:

\(4^{2} + 8^{2} = c^{2}\)

16 + 64 = \(c^{2}\)

80 =  \(c^{2}\)

\(\sqrt{80} = \sqrt{c^{2}}\)

c = 8.94

Question 8:

\(6^{2} + 3^{2} = c^{2}\)

36 + 9 = \(c^{2}\)

45 = \(c^{2}\)

\(\sqrt{45} = \sqrt{c^{2} }\)

c = 6.71

The x-intercept of each line defined below and their values will be as follows:

EQUATION OF LINE A:y - 4 = -(x - 4)  or y = -x + 8

To find the x-intercept, substitute y = 0

0 = -x + 8x

= 8

Hence, the x-intercept of line A is 8.

To compare the x-intercept values with other lines, we would need the equations of those lines.

Without that information, it is not possible to compare the values.

To find the x-intercept of a line, substitute y = 0, and solve for x.

To compare the values of the x-intercepts of two or more lines, we need to find the x-intercepts of all lines and compare their values.

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Answer:

125.

Given:

Step-by-step explanation:

As given in the question that the ratio is already given,

therefore,

1. The ratio of tourist of to locals

the ratio of tourist to local is 4:5

\(\frac{tourist}{locals}\)=\(\frac{4}{5}\)

2. Attendance of locals at the opening

here are 100 tourist at the opening

\(\frac{100}{locals} =\frac{4}{5}\)

locals= 125

locals are 125 in attendance.

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125 is the attendance of locals

The ratio of tourists to locals is 4:5

Tourists / Locals = 4 / 5

There are 100 tourists at the opening of the new museum

100 / locals = 4/5

locals = 500/4

locals = 125

The attendance of locals is 125.

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The correlation is a significant non-zero value.

The number of samples is n.

n = 25

The correlation of the coefficient is r.

r = -0.40

When correlation is significant,

\(H _{0} : p = 0\)

When correlation is non-zero,

\(H _{ \alpha } : p ≠0\)

The test statistic is,

\(TS = \frac{r \times \sqrt{n - 2} }{ \sqrt{1 - r {}^{2} } } \)

\( = \frac{0.4 \times \sqrt{25 - 2} }{ \sqrt{1 - ( - 0.4) ^{2} } } \)

\( = \frac{ - 1.918 }{ \sqrt{0.84} } \)

= -2.093

The test statistic is -2.093.

The correlation is,

\(H _{ \alpha } : - 2.93 ≠0\)

The correlation is not equal to zero and is significant.

Therefore, the correlation is a significant non-zero value.

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Answer:

Step-by-step explanation:

\(\frac{k}{4} + 3 = 14\)

Subtract 3 from both sides

\(\frac{k}{4} = 14 - 3 \\\frac{k}{4} = 11\)

Multiply both sides by 4 to find k.

k = 11 x 4 = 44

Answer: 14ft

Step-by-step explanation: 12*5 = 60, 840/60 = 14ft

Answer:

12x5=60x 14= 840 SOOOOO ITS 14

Step-by-step explanation:

Answer:

Step-by-step explanation:

rate of change is essentially slope

\(Rate Of Change = \frac{rise}{run}\)              or

\(Rate Of Change = \frac{y_{2} -y_{1} }{x_{2} -x_{1} }\)          or

\(Rate Of Change = \frac{f(x_{2})- f(x_{1}) }{x_{2} -x_{1} }\)

Answer:  x= \(\sqrt{x=15i} or \sqrt{x=-5\)

​

Answer:

f(x) = 4(x - 8)

        4 (10 -8) = 8

Step-by-step explanation:

8 because you would replace the x with 10. f= 4((10) - 8)

Let t be the number of minutes talked. The cost of the first plan can be represented by:C1 = 0.22t

The cost of the second plan can be represented by:C2 = 0.11t + 34.95.To find the number of talk minutes that would produce the same cost for both plans, you need to set the two equations equal to each other and solve for t.0.22t = 0.11t + 34.950.11t = 34.95t = 318.18

Therefore, the two plans will have the same cost if you talk for 318.18 minutes.

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The system of linear inequalities to model the situation is 10x + 20y ≤ 100 and y > 2x

From the question, we have the following parameters that can be used in our computation:

Using the following representations:

We have the following system of inequalities from the given statements

10x + 20y ≤ 100

y > 2x

Hence, the system of inequalities is 10x + 20y ≤ 100 and y > 2x

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P( X≥23.5) = 0.5 + A(0.277)

P( X≥23.5) = 0.5 + A(1.388)

Given that the mean of the Population = 26 weeks

The Standard deviation of the Population = 9 weeks

Let 'X' be a Normal distribution

Z = \(\frac{x-mean}{standard deviation}\)

Z = \(\frac{23.5-26}{9}\)

Z = -2.5/9

Z = -0.277

The probability that a single randomly selected value is greater than 23.5

P( X≥23.5) = P(Z≥-0.277)

P( X≥23.5) = 0.5 + A(-0.277)

P( X≥23.5) = 0.5 + A(0.277)              

Let 'X' be a Normal distribution

Z = \(\frac{x-mean}{\frac{standard deviation}{\sqrt{n} } }\)

Z = \(\frac{23.5-26}{\frac{9}{\sqrt{25} } }\)

Z = -2.5/9/5

Z = -2.5/1.8

Z = -1.388

The probability that a  sample of size randomly selected value is greater mean greater than 23.5

P( X≥23.5) = P(Z≥-1.388)

P( X≥23.5) = 0.5 + A(-1.388)

P( X≥23.5) = 0.5 + A(1.388)

Therefore,

P( X≥23.5) = 0.5 + A(0.277)

P( X≥23.5) = 0.5 + A(1.388)

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