8. Which pair of angles are alternate interior angles?
1
3
021 and 28
21 and 27
22 and 27
023 and 26
2
4
5
7
6
8
10
9
(1 point)

Answer:

n=3/2 and 6

Step-by-step explanation:

4n²-30n+36=0

2n²-15n+18=0

2n²-12n-3n+18=0

2n(n-6)-3(n-6)=0

(2n-3)(n-6)=0

2n-3=0 or n-6=0

n=3/2 or n= 6

factorization approach ✨

Answer:

50

Step-by-step explanation:

in this equation you will have to add and multiply the Ns together then you will divide whatever value you get by 250

(2N-7N+4N) x (9N-14N)=250

(-1N) x (-5N)=250

5N=250

N=50

Using transformations, it is found that:

25. The function underwent a reflection over the y-axis.

26. The function undergoes a vertical compression by a factor of 1/2.

27. the changes from f(x) = |x| to g(x) = -2|x - 1| + 2 are given as follows:

The graph of g(x) is given at the end of the answer.

The transformations used are given as follows:

The function for g(x) is given by:

g(x) = f(-x).

This rule is for a reflection over the y-axis.

The function for g(x) is given by:

g(x) = 0.5f(x).

The multiplication by a number less than 1 means that it underwent a vertical compression, with the coefficient representing the scale factor.

For this problem, the parent function is:

f(x) = |x|.

The transformed function is:

g(x) = -2|x - 1| + 2.

The changes are given as follows:

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The value of value of 13 squared is 169 and this is between 168 and 170.

It should be noted that a square of a particular number simply means the multiplication of the number by itself.

Based on the information, the value of 13 squared will be:

= 13 × 13

= 169

It should be noted 169 will be between 168 and 170.

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Table A matches with x - 3y = 13,  table B matches with 2x - 3y = 9 ,table C matches with 3x -y = -2 and table D matches with 3x - y = -2

What is Linear equation ?

Linear equation can be defined as equation in which highest degree is one.

from the given tables ,

lets first take the values,

x = 0 , y = -4

lets subsitute that in the given equation ,

x - 3y = 12

0 - 3 * -4

= 12

table A matches with equation x - 3y = 13

and subsitute x = 3 and y = - 1

2x - 3y = 9

2*3 - 3* -1

= 9

table B matches with 2x - 3y = 9

put x = -1 and y = 2

3x - y = - 5

3*-1 - 2

= -5

table C matches with 3x -y = -2

put x = -5 y = -13

3x - y = -2

3*-5 - + 13

= -2

table D matches with 3x - y = -2

Therefore, Table A matches with x - 3y = 13,  table B matches with 2x - 3y = 9 ,table C matches with 3x -y = -2 and table D matches with 3x - y = -2

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Answer:

a. 245 m

b. 40 m

c. The g-value of Mars is smaller than that of Earth.

Step-by-step explanation:

From the question, the distance the object has fallen due to gravity is given by

[tex]\boxed{d = gt^{2} }[/tex]

Earth

Given that g= 9.8 m/s²,

d= 9.8t²

(a) When t= 5,

d

= 9.8(5²)

= 9.8(25)

= 245 m

Moon

Given that g= 1.6 m/s²,

d= 1.6t²

(b) When t= 5,

d

= 1.6(5²)

= 40 m

Mars

(c) Relationship: smaller g, smaller d

Given the same value of t, which is 5 seconds, we are given that the distance (d) is 46.25 m.

This distance is smaller that than when dropped near the surface of the earth, but larger than that when dropped near the surface of the moon.

In summary,

Thus, we can conclude that the g-value on Mars is smaller than that of the Earth.

The value of "k" in the following equation 72 + k = 54 for which the given linear equation is true is k = -18

As per the question statement, we are supposed to find the value of "k" in the following equation 72 + k = 54 for which the given linear equation is true.

The solution is given below:

72 + k = 54, subtracting 72 from both sides

k = 54 - 72

k = -18

Therefore the value of "k" in the following equation 72 + k = 54 for which the given linear equation is true is k = -18

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Answer:

[(2, 8),(3, 7),(4, 6)]

Graph the equation like normal.

Use the procedures explained below to answer the next question.

Step-by-step explanation:

To obtain 3 points, choose any values for x and substitute into the equation for corresponding values of y. To make this easier, I'm going to use function notation instead. But, this works the same using slope-intercept form.

[tex]f(x)=-x+10\\f(2)=-2+10=8 \rightarrow (2,8)\\f(3)=-3+10=7 \rightarrow (3,7)\\f(4)=-4+10=6\rightarrow(4,6)[/tex]

All I did was substitute three different values of x, to get the corresponding values for y.

So, the three points that are on the line are (2, 8), (3, 7), and (4, 6). Now, you can graph the equation as you normally would.

As shown in the attached screenshot, the three points that we found are correctly on the graphed line.

Use the same procedures to answer the next question.

The amount of money Mr.Sykes will spend on calculators is £629.2.

Given:

Total Number of students in year 11 = 104

Cost of each calculator =  £6.05

Now to calculate the total cost of all the calculators we have to multiply the number of students by the cost of one calculator.

Amount of money Mr.Sykes will spend on calculators = Total Number of students × Cost of each calculator

= 104 × 6.05

= £629.2

Hence, the total amount of money Mr.Sykes will spend on calculators is £629.2.

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The number of units of each type that should be purchased to maximize the number of people processed is 6 unit A and 6 unit B.

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

Any mathematical object has a symbol, and that symbol is called a variable. A variable can specifically represent a number, a vector, a matrix, a function, its argument, a set, or one of its elements.

Given that,

The budget for new metal detectors is $75,000.

Maximum of 18 security guards available for each shift.

Unit A costs $5000, requires 1 security guard and can process 300 people per hour.

Unit B costs $7500, requires 2 security guards and can process 500 people per hour.

Let x = unit A

Let y = unit B

N = 300x + 500y

Here, 5000x + 7500y ≤ 75000

X+2y≤ 18

y≥4

x≥0

Hence,

(0, 9) = 300(0) + 500(9)

(0, 9) = 4500

(0, 4) = 300(0) + 500(4)

(0, 4) = 2000

(9, 4) = 300(9) + 500(4)

(9, 4) = 4700

since,

(6, 6) = 300(6) + 500(6)

(6, 6) = 4800

Therefore, flywithus should buy 6 unit A and 6 unit B to maximize the number of people processed.

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Answer:

3:4

Step-by-step explanation:

for every set that Natasha and Richard do and since 1 hour is 60 minutes the ratio is 45:60 and then you divide both sides by 15 to get 3:4

Answer:

I think its 5.00 N

Step-by-step explanation:

The type of number that gets a mathematician in trouble the most when trying to use a function to model a real-world situation are irrational numbers and zero.

        y = k/x, where k is a fixed number, say 10.

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m in the linear equation that represents the scenario is expressed as: m = (C - 12)/a.

A linear equation, in slope-intercept form y = mx + b or y = b + mx, can be used to model a scenario where:

In the scenario described above, given that C = 12 + am represents the equation of the monthly pone cost, we have the following:

Monthly phone cost (y) = C

Additional charge per minute (m) = a

Number of minutes (x) = m

Base fee (b) = 12

Thus, to find what m equal in the equation, make m the subject fo the formula:

C = 12 + am

C - 12 = 12 + am - 12

C - 12 = am

(C - 12)/a = m

m = (C - 12)/a

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Answer:

y = -1x

gradient = -1

rise/run= +10-20/-10+20

            = -10/10

            = -1

y intercept is 0 as line is passing through 0 on y axis

For verification:

input any pair of x and y values in y = mx + b

10=-1(-10)+b

10=10+b

b= 10-10

b=0

Equation:

y = -1x

The difference in elevation between the bottom of the canyon and the birds nest is 679.8 feet.

What is a numerical expression ?

A numerical expression is an statement written in form of numbers with mathematical operations.

According to the given question

A bird flies from the bottom of a canyon that is59 1/5 feet below sea level to a nest that is 620 3/5 feet above sea level.

59 1/5 feet

(59×5 + 1)/5

59.2 feet

Let assume that the sea level is at 0 feet.

= (620×5 + 3)/5

= 620.6 feet.

From the given data we write an expression which is the difference in elevation between the bottom of the canyon and the bird nest is

( 620.6 ) - ( -59.2 ) feet

=  620.6 + 59.2 feet

= 679.8 feet.

Hence, The elevation difference between the birds' nest and the canyon's base is 679.8 feet.

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Symbol used to compare the negative two and three tenths repeating and negative eight thirds is :

negative two and three tenths > negative eight thirds.

As given in the question,

Given numbers :

Negative two and three tenths = [tex]-2\frac{3}{10}[/tex]

                                                    = -23 /10

Negative eight thirds = -8/3

To compare two numbers using symbols <, >, or = denominator should be equal

Least common multiple of 10 and 3 is 30.

(-23/10) ×(3/3) = -69/30

(-8/3)×(10/10) =-80/30

-69/30 > -80/30

⇒[tex]-2\frac{3}{10}[/tex] > -8/3

Therefore, symbol used to compare the negative two and three tenths repeating and negative eight thirds is :

negative two and three tenths > negative eight thirds.

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Based on the calculations, the value of x in this geometric sequence is equal to √2

Mathematically, the nth term of a geometric sequence is given by this mathematical expression:

aₙ = a₁rⁿ⁻¹

Where:

Next, we would determine the common ratio of this geometric sequence as follows:

r = a₂/a₁ = a₃/a₁

Substituting the given parameters into the common ratio formula, we have;

1/√X + 1 = √x - 1/1

Taking the square of both sides, we have:

1/x + 1 = x - 1/1

Cross-multiplying, we have:

(x + 1)(x - 1) = 1

x² - x + x - 1 = 1

x² - 1 = 1

x² = 1 + 1

x² = 2

x = √2

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Answer:

12.

Step-by-step explanation:

During the previous 3 hours before the New York bus leaves, 6 buses would have left Albany so the New York bus will pass them on the way.

Also 6 buses will leave Albany during the three hours of travel,

Tha answer is 6 + 6 = 12.

Based on the correlation coefficient between rent and square footage of 0.84, the relationship between the two variables is Strong and Positive.

The Correlation Coefficient can be negative, positive, or 0. When it is 0, then no relationship exists between the variables. A negative coefficient means that the relationship is negative.

A positive correlation means that the relationship is positive which means the variables increase (decrease) together. A correlation coefficient above 0.8 indicates that the correlation is strong.

In this case, it means that the correlation of 0.84 between rent and square footage is strong and positive.

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The numbers from least to greatest in ascending order is 1/5 , 0.35 , 12/25 , 0.5 , 4/5.

The organization of numbers known as ascending order places the smallest number before the greatest.

The numbers can be written in decimals as:

0.5 , 0.2 , 0.35 , 0.48 and 0.8.

The numbers written from least to greatest in ascending order is :

0.2 < 0.35 < 0.48 < 0.5 < 0.8

Hence the numbers will be:

1/5 , 0.35 , 12/25 , 0.5 , 4/5.

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Answer:

yes you did

Step-by-step explanation:

I hate math and my math teacher

The value of the greatest integer is -9.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is the sum of an integer and 4 times the next consecutive integer is -46.

Assume that the integer is x. Then, its consecutive integer will be (x + 1).

Then we can write -

x + 4(x + 1) = - 46

x + 4x + 4 = - 46

5x + 4 = - 46

5x = - 50

x = - 10

Then -

x + 1 = - 9, which is also greater than -10

Therefore, the value of the greatest integer is -9.

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The unit rate of the can in Hefty bird grocery store is 3

The unit rate of the can in  bulky grocery is 4

The unit rate  at Hefty bird grocery store can be calculated as follows

15= 75

1= x

cross multiply both sides

15x= 75

x= 75/15

x= 3

The unit rate at bulky grocery can be calculated as follows

8= 32

1= y

cross multiply both sides

8y= 32

y= 32/8

y= 4

Hence the unit rates are 3 and 4 respectively.

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The answer to all the subparts are:

So, the formula for mean calculation:

So, we obtain:

The formula for standard error:

So, we get:

[tex]\begin{aligned}&S E=\sqrt{\frac{0.64+(1-0.64)}{50}} \\&S E=\sqrt{0.004608} \\&S E=0.068\end{aligned}[/tex]

So, the standard error is 0.068, and the mean is 32.

Given the size of the sample, a roughly normal shape can be anticipated.

In order to determine the likelihood of scoring less than 60%, we must first determine the z-score using:

So, we obtain:
[tex]\begin{aligned}&z=\frac{0.60-0.64}{0.068} \\&z=-0.588\end{aligned}[/tex]

Then,

Consequently, the probability of receiving a score below 60% is 0.278.

Therefore, the answer to all the subparts are:

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The complete question is given below:
An exam consists of 50 multiple-choice questions. Based on how much you studied, for any given question, you think you have a probability of 0.64 of getting the correct answer. Consider the sampling distribution of the sample proportion of correct questions out of 50. (a) Find the mean and standard error of the sampling distribution of this proportion. Mean = (2 decimal places) Standard error = (3 decimal places) (b) What do you expect for the shape of this sampling distribution? approximately normal because n is large cannot be determined because p is greater than 0.5 cannot be determined because n is large approximately normal because the population is normal (c) If truly p = 0.64, calculate the probability of getting a sample proportion less than 0.60? (correct answers on less than 60% of the questions) Probability = (3 decimal places)