Graph y = – 3x + 6 using the interactive graphing calculator. Which of the following statements are true?

The line increases from left to right.
The line crosses the x-axis at –3.
The line crosses the y-axis at 6.
As the input increases, the output decreases.
The line does not enter quadrant II at all.
The point (3.5, –4.5) lies on

Step-by-step explanation:

2. since there are 15 shirt

the probability of her wearing a blue shirt is 5/15

the probability of her wearing a blue shirt is 4/15

The mean of the data will be 13,000. Then the correct option is A.

The mean is the straightforward meaning of the normal of a lot of numbers. In measurements, one of the markers of focal propensity is the mean. The normal is alluded to as the number-crunching mean. It's the proportion of the number of genuine perceptions to the absolute number of perceptions.

The populations of several different regions of a state are shown. The data. region 1: 20,200 region 2: 14,500 region 3: 18,800 region 4: 9,300 region 5: 2,200.

Then the mean of the data will be given as,

Mean = (20,200 + 14,500 + 18,800 + 9,300 + 2,200) / 5

Mean = 65,000 / 5

Mean = 13,000

The mean of the data will be 13,000. Then the correct option is A.

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The graph of the equation can be sketched by using the x- and y-intercepts. The graph of the equation is shown below

From the question, we are to determine how to graph the given equation.

The given equation is x - y = 4

To graph the line,

First, we will determine the x-intercept and the y-intercept. We will then graph the line by using the intercepts.

x-intercept is the point when y = 0 on the graph and the y-intercept is the point where x = 0 on the graph.

Determine the x-intercept

x - y = 4

x - 0 = 4

x = 4

The x-intercept is (4, 0)

Determine the y-intercept

x - y = 4

0 - y = 4

-y = 4

y = -4

The y-intercept is (0, -4)

Using the x- and y-intercepts, the graph of the line is shown below

The graph of the equation is given below

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Yes, cropping a picture and then using a scale factor to resize it is a two-step process.

The image is first cropped by subtracting 2 inches from the right side, altering the image's proportions.

The image is then enlarged using a scale factor of 1.5, which increases the image's dimensions by 1.5.

The final measurements of the image would be its original measurements less 2 inches (for cropping), then multiplied by 1.5. (for the resizing).

It's vital to keep in mind that both picture cropping and image scaling change the size of the final product.

Yes, cropping a photo, then resizing it with a scale factor, is a two-step process.

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Answer: Amount is  $79507 and Compound Interest is  $15507

Step-by-step explanation:

Principal (p) => 64000

Time (t) => 1 1/2=3/2 =3/2*2=3

Rate (r) => 15% = 15/2

Answer:

0.595

Step-by-step explanation:

I multiplied 1.7 by 35 and moved the decimal.

Answer:

10.56 quarts

Step-by-step explanation:

10.5669 quarts

10.56 quarts

Answer:

x = -2

Step-by-step explanation:

Answer:

20720

Step-by-step explanation:

-3x^2y +4x

-3(-4)^2*2 + 4(-4)

= 12^4 -16

20736 - 16

= 20720

I hope this helped!

Answer:

When x = -4 and y = 2, -3x^(2y) + 4x is -784.

Step-by-step explanation:

-3x^(2y) + 4x

Substitute given variables.

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

Multiply 2 and 2.

-3(-4)^4 + 4(-4)

Multiply -3 and -4.

Raise -4 to the 4th power.

-3(256) + 4(-4)
Multiply -3 and 256.

-768 + 4(-4)

Multiply 4 and -4

-768 + (-16)

Add -768 and -16.

-784

Answer:

123456789101112131415161718192021222324252627

Answer:

4=No

-3=No

2=Yes

0=No

Step-by-step explanation:

enter enter all the factors into the equation and see which one equals -28 on both sides at the end.

Answer:

Step-by-step explanation:

i am working on the assumption that nobody does all three of them

i got 4 because including the people that do swimming and park, the total number of people that do swimming is 22.

the same logic goes for cycling: including the people that do swimming and visit the national park, the total is 23.

so that means that find how many people do swimming and cycling, we have to add the people doing only swimming, with the people doing both swimming and park and then subtract that answer from 22 which gives you 4

To set up the amortization table, we can use the mortgage and interest formulas as follows:

Mortgage formula:

M = P [ i(1 + i)^n / (1 + i)^n - 1]

where M is the monthly payment, P is the principal (the amount borrowed), i is the monthly interest rate (APR divided by 12), and n is the total number of payments (20 years multiplied by 12 months per year).

Interest formula:

I = P * i

where I is the monthly interest payment, P is the remaining principal balance, and i is the monthly interest rate.

Using these formulas, we can set up the following amortization table for the first two months:

Month Payment Principal Interest Balance

1    $400,000

2    

To fill in the table, we need to calculate the monthly payment (M) and the monthly interest payment (I) for the first month, and then use these values to calculate the principal payment for the first month. We can then subtract the principal payment from the initial balance to get the balance for the second month, and repeat the process to fill in the remaining columns.

To calculate the monthly payment (M), we can use the mortgage formula:

M = P [ i(1 + i)^n / (1 + i)^n - 1]

where P is the principal amount, i is the monthly interest rate, and n is the total number of payments.

Plugging in the given values, we get:

M = 400,000 [ 0.00279 (1 + 0.00279)^240 / (1 + 0.00279)^240 - 1]

M = $2,304.14

Therefore, the monthly payment is $2,304.14.

To calculate the interest payment for the first month, we can use the interest formula:

I = P * i

where P is the remaining principal balance and i is the monthly interest rate.

Plugging in the values for the first month, we get:

I = 400,000 * 0.00279

I = $1,116.00

Therefore, the interest payment for the first month is $1,116.00.

To calculate the principal payment for the first month, we can subtract the interest payment from the monthly payment:

Principal payment = Monthly payment - Interest payment

Principal payment = $2,304.14 - $1,116.00

Principal payment = $1,188.14

Therefore, the principal payment for the first month is $1,188.14.

To calculate the balance for the second month, we can subtract the principal payment from the initial balance:

Balance = Initial balance - Principal payment

Balance = $400,000 -$1,188.14

Balance = $398,811.86

Therefore, the balance for the second month is $398,811.86.

Using these values, we can complete the first two rows of the amortization table as follows:

Month Payment Principal Interest Balance

1 $2,304.14 $1,188.14 $1,116.00 $398,811.86

2    

To fill in the remaining columns for the second month, we can repeat the process using the new balance of $398,811.86 as the principal amount for the second month. We can calculate the interest payment using the same method as before, and then subtract the interest payment from the monthly payment to get the principal payment. We can then subtract the principal payment from the balance to get the new balance for the third month, and repeat the process for the remaining months of the amortization period.

Answer:

82.4 cm

Step-by-step explanation:

The computation of the height is given below:

As we know that each right triangle contains the top angle of 20 degrees

So, the right angle & the bottom corner angle equivalent to

= 180 - 90 - 20

= 70 degrees

Now the height is

tangent = opposite leg ÷ adjacent leg

tan (70°) = height ÷ 30 cm

height = 30 cm × tan (70°)

= 82.4 cm

Texas' location and climate led to the development of the aviation industry.

What is the significance of Texas in the development of the aviation industry?

The development of the aviation industry in Texas can be attributed to its favorable geographical location and climate. Texas is located in the southern part of the United States, making it a strategic location for air travel between the east and west coasts of the country. Additionally, its warm and dry climate provided ideal conditions for flight testing and training.

Reason what led to the development of the aviation industry :

Texas has a long history of aviation, with the Wright brothers conducting one of their earliest flight demonstrations in the state in 1910. The establishment of military bases during World War II and the subsequent development of aircraft training facilities in Texas further fueled the growth of the aviation industry in the state. Additionally, the placement of the Johnson Space Center in Houston helped to establish Texas as a hub for aerospace research and development. However, it is Texas' favorable location and climate that truly made it a prime location for the aviation industry. Its central location made it a strategic location for air travel and logistics, while its warm and dry climate provided ideal conditions for flight testing and training. Today, Texas remains one of the top states for aviation and aerospace industries, with major airports, aircraft manufacturers, and research institutions located throughout the state.

Therefore, option (d) is correct.

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Answer:  6

Step-by-step explanation:

you just get those numbers and times them 3 times 2 is 6

Answer: the real solution: x = - 2

Find the attached file for the remaining solution

Step-by-step explanation:

The equation given is:

x3 - 5x2 + 28 = 0 

Let assume that -2 is one of the root of the equation. Substitute -2 for x

(-2)^3 - 5(-2)^2 + 28

-8 - 20 + 28 = 0

Therefore, -2 is one of the root of the equation since the equation tend to zero.

If x = -2, then x+2 is one of the factors of the equation. Therefore, the real solution is x = -2

Please find the attached file for the remaining solution.

The vector whose magnitude is 3 and whose components I. the I and j direction are equal is; <3√2/2i, 3√2/2j>.

It follows that the magnitude of a vector in terms of its components in the i and j direction is;

M = √(x² + y²).

On this note, since the i and j components are equal; x = y and hence, we have;

3 = √(x² + x²).

3² = 2x²

x² = 9/2

x = 3/√2

x = 3√2/2

On this note, the required vector which is as described is; <3√2/2i, 3√2/2j>.

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Answer:

5

Step-by-step explanation:

Answer:

\(y=-1/4x+3\)

Step-by-step explanation:

Slope-intercept form is of the form y=mx+b where m is the slope and b is they y-intercept. To solve for the slope, we take the difference of two y-coordinates divided by the x-coordinates difference. Doing this, we get

\((3-1)/(0-4)\)

\(=-1/4\)

This is our slope. The y-intercept is 3, because the line hits the y-axis when y=3.

Thus, our equation is y=-1/4x + 3.

Feel free to contact me with any questions. I hope this helps!

The set of positive integers less than 1000 that are:

a)Divisible by 7 are 142

b)Divisible by 7 but not by 11 are 130

c)Divisible by both 7 and 11 are 12

d)Divisible by either 7 or 11 are 220

e)Divisible by exactly one of 7 and 11 are 220

f)Divisible by neither 7 nor 11 are 780

g)Having distinct digits are 576

h)Having distinct digits and even are 337

We have,

A whole number that is greater than zero is known as positive integer

a)The positive numbers below 1000 that are divisible by 7 are 7, 14, 21, 28,..., 994.

Total terms: 994, divided by 7, plus (n-1)

There are 142 total terms below 1000 that are divisible by 7.

b) The numbers 77, 154, 231, 308, 385, 462, 539, 616, 693, 770, 847, and 924 are all divisible by both 7 and 11.

The total number of integers below 1000 that are divisible by 7 but not 11 therefore equals 142 - (total number of integers divisible by 7 and 11), which means that the total number of integers that fall into this category is 130.

c) The total amount of integers that can be divided by both 7 and 11 equals the total amount of integers that can be divided by 77.

There are 12 total integers below 1000 that can be divided by 77.

d) The total number of integers that can be divided by either 7 or 11 is equal to the sum of the numbers that can be divided by each of those numbers and the number that can be divided by 77.

The total number of integers below 1000 that are divisible by 11 is (11,22,33,...,990). 990 = 11 + (n-1) 11, which equals 90 integers.

Total integers that may be divided by both 7 and 11 are equal to 142 + 90 - 12 = 220.

e) The total number of integers that may be divided by either 7 or 11 perfectly is equal to 142 + 90 - 12 = 220 numbers.

f) The total number of integers that cannot be divided by either 7 or 11 is 1000 - (The total number of integers that can be divided by either 7 or 11), which is 1000 - 220 = 780 numbers.

g)Distinct digits from 1 to 100 = 100 - Total number of integers below 1000 with distinct digits = 1000 - (non-distinct digits) ( 11,22,33,44,55,66,77,88,99,100),

=> Unique digits from 1 to 100 equal 90.

=> The distinct numerals 101 to 200 equal 100. (101,110,111,112,113,114,115,116,117,118,119,121,122,131,133,141,144,151,155,161,166,171,177,181,188,191,199,200),

=> Unique digits from 101 to 200 are: 100 to 28, 72.

=> Unique numbers between 201 and 1000 = 72 x 8 = 576.

h)Different digits and even values equal to 337

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Answer:

$2971.9

Step-by-step explanation:

2000*(1+2%)^20 = 2971.895

Answer:

Step-by-step explanation:

The aim of this question is to prove that the product of two rationals is rational.

To proof:

If \(\mathbf{x \ and \ y}\) are arbitrary rational numbers.

Thus, going by the definition of rational, there exist integers

a, b, ≠ 0, c, and d ≠ 0 ; \(x = \dfrac{a}{b} \ and \ y = \dfrac{c}{d}\)

Hence, \(xy = (\dfrac{a}{b})(\dfrac{c}{d}) = \dfrac{ac}{bd}\)

Since a and c are integers, then e = ac appears to be an integer as well.

Also, provided that b and d are non-zero integers;

f =bd appears to be a non-zero integer.

Therefore, \(xy = \dfrac{e}{f}\), and going by the definition of rational, xy is rational.

Hence, from the complete question:

The order of the statement is:

7,6,3,5,2,4

The statements that should not be used in the proof are:

1 N

8 N

9 N

10 N

11 N

We may conclude after answering the presented question that where equation V(z) is the value of the car z years after 1964.

An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x Plus 3" equals the number "9." The purpose of equation solving is to determine the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements. The variable x is raised to the second power in the equation "x2 + 2x - 3 = 0." Lines are utilized in many different areas of mathematics, such as algebra, calculus, and geometry.

To model the value of the car, we can use the exponential growth formula:

\(V(t) = V0 * (1 + r)^t\\V(t) = ab^t\\a = V0 = $2000\\b = 1 + r = 1 + 0.113 = 1.113\\V(z) = 2000 * 1.113^z\\\)

where V(z) is the value of the car z years after 1964.

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Considering the given figure we have that

< BAC = < CAD         definition of angle bisection

< BAC = < BCA         base angles of isosceles triangle

This refers to when angles are being shared or divided into two equal parts.

In the given problem, line AC is the bisector of < BAC. creating wo equal angles in the process. hence

< BAC = < CAD         definition of angle bisection

Triangle BAC is an isosceles triangle, since the sides BA and BC are equal. the angles are also equal therefore

< BAC = < BCA         base angles of isosceles triangle

Line AC is also a transversal line, connecting the two parallel lines BC and AD. This creates opportunity for alternate angle theorem

< BCA = < CAD        alternate internal angle theorem

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According to the given information, if 5 cups of flour are used in the recipe, we should use 5/3 cups of sugar.

Multiplication is an arithmetic operation that involves combining two or more numbers to get a product. It is a way of repeatedly adding a number to itself a certain number of times. The number being multiplied is called the multiplicand, while the number of times it is being multiplied is called the multiplier. The result of the multiplication operation is called the product

If the recipe requires 2 cups of flour for every 2/3 cups of sugar, we can write this relationship as:

2 cups of flour : 2/3 cups of sugar

To find out how many cups of sugar should be used if 5 cups of flour are included, we can set up a proportion:

2 cups of flour / 2/3 cups of sugar = 5 cups of flour / x cups of sugar

where x is the number of cups of sugar we want to find.

To solve for x, we can cross-multiply:

2 cups of flour * x cups of sugar = 2/3 cups of sugar * 5 cups of flour

2x = (2/3) * 5

2x = 10/3

x = 5/3

Therefore, According to the given information,  if 5 cups of flour are used in the recipe, we should use 5/3 cups of sugar.

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Answer:

376,404 copies sold.

Step-by-step explanation:

To find this answer, divide 33,500 copies by the 8.9%:

33,500 divided by 8.9% = 376404.494382

Now, if we round this number to the nearest whole number, it would be:

376,404 copies sold.

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Answer:

Section A has 27,500 seats.

Section B has 14,800 seats.

And Section C has 12700 seats.

Step-by-step explanation:

Let A represent the number of seats in Section A, B in Section B, and C in Section C.

We know that the stadium has a total of 55,000 seats. In other words:

\(A+B+C=55000\)

We also know that the stadium took in a total of $1,174,000. Remember that a seat in A is $25, B is $20, and C is $15. So:

\(25A+20B+15C=1174000\)

Also, we know that the number of seats in A is equivalent to the combined seats in B and C. So:

\(A=B+C\)

This is a system of equations. We can solve this by substitution.

First, let's substitute our third equation into our second equation. This yields:

\(25(B+C)+20B+15C=1174000\)

Distribute:

\(25B+25C+20B+15C=1174000\)

Combine like terms:

\(45B+40C=1174000\)

Let's divide everything by 5:

\(9B+8C=234800\)

Now, let's solve for either B or C. To do so, let's substitute our third equation into our first equation. This yields:

\((B+C)+B+C=55000\)

Combine like terms:

\(2B+2C=55000\)

Divide everything by 2:

\(B+C=27500\)

I'm going to solve for B. Subtract C from both sides. This gives:

\(B=27500-C\)

Now, let's substitute this into the equation we acquired previously. This yields:

\(9(27500-C)+8C=234800\)

Distribute:

\(247500-9C+8C=234800\)

Subtract 247,500 from both sides:

\(-9C+8C=-12700\)

Add:

\(-C=-12700\)

Divide both sides by -1. So, the number of seats in Section C is:

\(C=12700\)

Now, we can solve for A and B.

Remember that there are 55,000 seats in total. So:

\(A+B+C=55000\)

We know that C is 12700. Substitute:

\(A+B+12700=55000\)

Subtract 12700 from both sides:

\(A+B=42300\)

Now, remember that A is B+C. So, substitute:

\(B+C+B=42300\)

Combine like terms. Again, let's substitute 12700 for C. This yields:

\(2B+12700=42300\)

Subtract 12700 from both sides:

\(2B=29600\)

Divide both sides by 2:

\(B=14800\)

Finally, to find A, we can use the first equation again:

\(A+B+C=55000\)

Substitute 14800 for B and 12700 for C. This gives us:

\(A+14800+12700=55000\)

Add:

\(A+27500=55000\)

Subtract 27500 from both sides. So:

\(A=27500\)

Therefore, there are 27,500 seats in Section A, 14,800 seats in Section B, and 12,700 seats in Section C.

And we're done!

Answer:

w<13

Step-by-step explanation:

Works identically to a normal single-variable equation.
Subtract 7 on both sides in order to isolate w--->w+7-7<20-7
The answer (which cannot be simplified any further) is w<13.

Answer:

w < 1`3

Step-by-step explanation:

Isolate the variable w on one side of the inequality sign.

w+7<20

w<20 - 7

w<13.

The constant of proportionality in the relationship is 3/2

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

X Y

2 3

6 9

The above represents the table of values

Since the data on the table of values represents a proportional relationship, then the constant of proportionality is

Constant of proportionality = Y/X

So, we have

Constant of proportionality = 3/2

Hence, the constant of proportionality is 3/2

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