Convert the following equation to slope-intercept form to graph: 7x-y =_3

Answer:

h

Step-by-step explanation:

The polar coordinates of (1, -9) are (9.06, -1.47 radians).

To convert from rectangular coordinates to polar coordinates, we can use the following formulas:

r = √(x² + y²)

θ = tan⁻¹(y/x)

where r is the distance from the origin to the point, and θ is the angle between the positive x-axis and the line connecting the origin to the point.

In this case, x = 1 and y = -9. Plugging these values into the formulas, we get:

r = √(1² + (-9)²) = √82 ≈ 9.06

θ = tan⁻¹((-9)/1) ≈ -1.47 radians

Therefore, the polar coordinates of (1, -9) are (9.06, -1.47 radians). The distance from the origin to the point is approximately 9.06 units, and the angle between the positive x-axis and the line connecting the origin to the point is approximately -1.47 radians (or approximately -84.26 degrees).

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Answer:

your answer is 2.5 or 2 1/2

Answer:

Result in decimals: 2.5

Result in fractions 2 1/2

Step-by-step explanation:

Answer:

-6.28576e+81

Step-by-step explanation:

Answer:

smallest whole number is 0 so product of 0 is 0

smallest natural number is 1 so product of 1 is 1

Answer:

-$32

Step-by-step explanation:

Credited = Positive Change

Debited = Negative Change

48-80 = -32

-$32

Answer:

c

Step-by-step explanation:

Answer:

337.5

Step-by-step explanation:

first you solve what is in the bracket and add the 2 to give you 27 then add the 310.5

Answer:

{58.02007 , 61.97993]

Step-by-step explanation:

Data are given in the question

Sample of cars = n = 121

Average speed = sample mean = 60

Standard deviation = sd = 11

And we assume

95% confidence t-score = 1.97993

Therefore

Confidence interval is

\(= [60 - \frac{1.97993 \times 11}{\sqrt{121} }] , [60 + \frac{1.97993 \times 11}{\sqrt{121} }]\)

=  {58.02007 , 61.97993]

Basically we applied the above formula to determine the confidence interval

Answer:

£11.064

Step-by-step explanation:

55.32/5 = 11.064

Answer:

3rd option: 32/24

Step-by-step explanation:

8/6 = 4/3

1st option: Now let's change the denominator to 24:

4/3 ==> ?/24

4/3 =

4*8 / 3*8 = 32/24, not 3/24.

2nd option: Now let's change the numerator to 24:

4/3 ==> 24/?

4/3 =

4*6 / 3*6 = 24/18, not 24/32

24/32 = 3/4, not 4/3 ==> don't get confused by this

3rd option: 32/24 is correct [Look at the explanation for 1st option]

4/3 ==> ?/24

4/3 =

4*8 / 3*8 = 32/24, not 3/24.

Hence, the 3rd option is correct.

The domain: -5 < x ≤ 1 and the range: -3 ≤ y ≤ 1 is a function. b)

No, the vertical line crosses the graph in more than one place, therefore, the relation shown is a function.

The domain of a function is defined as the set of all the possible input values that are valid for the given function.

The range of a function is defined as the set of all the possible output values that are valid for the given function.

The domain of a relation is the set of values of the independent variable for a defined function.

The domain is the horizontal extent of the graph.

The range of a relation is the set of values of the dependent variable for a defined function.

The range is the vertical extent of the graph.

The vertical line can intersect the graph in at most one place.

a)

This graph extends from x > -5 to x = 1.

The domain

 -5 < x ≤ 1   ------   (-5, 1] in interval notation

This graph extends from y = -3 to y = 1.

The left side of the graph does not include the point (-5, 1), but the right side includes the point (1, 1).

y = 1 is one of the output values of the relation.

The range

 -3 ≤ y ≤ 1 . . . . . . . . [-3, 1] in interval notation

b)

No, the vertical line crosses the graph in more than one place, therefore, the relation shown is a function.

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Answer:

4 blue balloons.

Step-by-step explanation:

Answer: 14

Step-by-step explanation: 4 + 3 = 7  and there are 21 balloons 21 - 7 = 14. and thats how you get 14

Each letter should be matched to its correct term as follows;

1. A ⇔ Efficiency.

2. B ⇔ Impossible.

3. C ⇔ Inefficiency.

In Economics and Mathematics, a production possibilities curve (PPC) can be defined as a type of graph that is typically used for illustrating the maximum and best combinations of two (2) products that can be produced by a producer (manufacturer) in an economy, if they both depend on the following two (2) factors;

Based on the production possibilities curve shown in the image attached above, we can reasonably infer and logically deduce that each of the letters represent the following terminologies;

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The circumference of the given circle is approximately 47.3 inches.

Since the length of the arc KL and the measure of the central angle ∠KOL are known, we can use the formula for arc length to find the circumference of the circle:

arc length = (central angle / 360°) x circumference

Plugging in the known values, we have:

4.6 in = (35° / 360°) x circumference

Solving for the circumference, we get:

circumference = 4.6 in / (35° / 360°)

circumference = 4.6 in x (360° / 35°)

circumference ≈ 47.3 in (rounded to the nearest tenth)

Therefore, the circumference of the circle is approximately 47.3 inches.

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a) Assuming no withdrawals are made, the future value in Kareem's account after 3 years is $1,768.74.

b) After 3 years, the interest earned on Kareem's investment is $68.74.

The future value and the interest are determined by the investment (present value) and the interest rate, including the compounding periods.

The future value of a present-value investment can be determined using an online finance calculator, including the total interest earned on the investment.

N (# of periods) = 3 years

I/Y (Interest per year) = 1.33%

PV (Present Value) = $1,700

PMT (Periodic Payment) = $0

Results:

Future Value (FV) = $1,768.74

Total Interest = $68.74

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Answer:

2-1/2 inches long

Step-by-step explanation:

Convert 3-3/4 to an improper fraction by multiplying the whole number by the denominator and adding it to the numerator. Then multiply by 2/3.

15/4 × 2/3

Cross-multiply and divide (simplify)

30/12

5/2

2-1/2

Therefore, the smaller of the two acute angles is 8°.

Trigonometry is a branch of mathematics that deals with the relationships between the angles and sides of triangles. Here are some general steps to solve trigonometry problems:

Understand the problem: Read the problem carefully and identify what is being asked for.

Draw a diagram: Draw a diagram of the triangle and label the sides and angles.

Identify the known values: Identify what is given in the problem, such as the lengths of the sides or the measure of an angle.

Choose the appropriate formula: Choose the formula that relates the known values to the unknown value that you need to find.

Solve for the unknown value: Use algebraic manipulation and/or your calculator to solve for the unknown value.

Check your answer: Check your answer to make sure it makes sense and that it satisfies any given constraints.

Let's start by using the trigonometric identity cos(x) = sin(90° - x) for the left-hand side of the equation:

\(cos(4x) =\)\(sin(90^{0} - 4x)\)

Now we can substitute this into the original equation and simplify:

\(sin(90^{0} - 4x) = sin(6x + 10)\)

Using the identity sin(a) = sin(b) implies a = b + 2kπ or a = π - b + 2kπ for some integer k, we can set the angles inside the sine function equal to each other and solve for x:

90° - 4x = 6x + 10 + 2nπ or 90° - 4x = π - (6x + 10) + 2nπ

where n is an integer.

Solving for x in the first equation, we get:

10x = 80° + 2nπ

x = 8° + (2n/10)π

Solving for x in the second equation, we get:

10x = 80° + π + 2nπ

x = (8° + π/10) + (2n/10)π

Since we want the acute angle of the right triangle, which is less than 90°, we only need to consider the values of x that satisfy 0° < x < 22.5°. From the two equations above, we see that x can take on values between 8° and 9° or between 89° and 90°. Therefore, the smaller of the two acute angles is 8°.

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Answer shown in bold

The non-bolded values to the left are not to be typed in the answer box. They're present to keep track of the values. In other words, you'll type "40" without quotes into the first box, then "19" without quotes in the second box, and so on.

========================================================

Explanations:

Let me know if you have any questions.

Answer:

angle ced is a right ange

so the m angels debate =135 m angle aeb =35

so the answer is 135+35 =170

180 is a all side sim

=180-170=10 answer

Answer:

∠CED is a right angle.

∠CEA is a right angle.

m∠CEB = m∠BEA

m∠DEB = 135°

Answer:

\(y = - \frac{4}{5} x + 3\)

Step-by-step explanation:

\(b = 3\)

\( - 2 = 4a + 3\)

\(a = - \frac{4}{5} \)

Step-by-step explanation:

x = age of one of the twin boys

when they had together 21 years of age,

Bill was x years old

Ross was x years old

Mark was x+3 years old

so, we have

x + x + (x + 3) = 21

3x + 3 = 21

3x = 18

x = 6

Bill and Ross were 6 years old.

Mark was 6+3 = 9 years old.

Mark was born in 1990.

1990 + 9 = 1999

so, it was 1999 when they had together 21 years of age.

This question is incomplete, the complete question is;

Genghis Khan organized his men into groups of 10 soldiers undera“leader of 10.” Ten “leaders of 10”were undera“leader of 100.” Ten “leaders of 100”were undera“leader of 1,000.”

(a) If Khan had an army of 10,000 soldiers at the lowest level, how many men in total were under him in his organization?

(b) If Khan had an army of 5,763 soldiers at the lowest level, how many men in total were under him in his organization?

Assume that the groups of 10 should contain 10 if possible, but that one group at each level may need to contain fewer

Answer:

a) = 11110 soldiers

b = 6404 soldiers

Step-by-step explanation:

Given that Khan arranged his men in to groups  of 10 soldiers under a "leader of 10" Ten" leaders of 10 were under a "leader of 100." Ten" leaders of 100" were under a "leader of 1000"

so

a) If Khan had an army of 10,000 soldiers at the lowest level, how many men in total were under him in his organization?

NOW

Number of soldier = 10,000

Lower Rank (soldier) = 10000

third highest  (leader of 10) = 10000/10 = 1000

second highest ( leader of 100) = 1000/10 = 100

Highest ranked ( Leader of 1000) = 100/10 = 10

so the Total = 10000 + 1000 + 100 + 10 = 11110 soldiers

b) If Khan had an army of 5,763 soldiers at the lowest level, how many men in total were under him in his organization? Assume that the groups of 10 should contain 10 if possible, but that one group at each level may need to contain fewer

NOW

Number of soldiers = 5,763

Lowest Rank (soldier) = 5763

third highest  (leader of 10) = 5763/10 = 576.3 = 577 (whole number required for human)

second highest ( leader of 100) = 577/10 = 57.7 = 58

Highest ranked ( Leader of 1000) = 58/10 = 5.8 = 6

so the Total = 5763 + 577 + 58 + 6 = 6404 soldiers

To achieve a comparable rate of return, Hank would need to earn an interest rate of approximately 0.86% per month, compounded monthly on his ordinary annuity.

To find the interest rate, compounded monthly, that Hank would need to earn on an ordinary annuity for a comparable rate of return, we can use the present value formula for an ordinary annuity.

First, let's calculate the present value of Hank's payments. He made payments of $219 per month for 30 years, so the total payments amount to $219 * 12 * 30 = $78840.

Now, we need to find the interest rate that would make this present value equal to the selling price of the property, which is $195,258.

Using the formula for the present value of an ordinary annuity, we have:

PV = P * (1 - (1+r)\(^{(-n)})\)/r,
where PV is the present value, P is the payment per period, r is the interest rate per period, and n is the number of periods.

Plugging in the values we have, we get:
$78840 = $219 * (1 - (1+r)\({(-360)}\))/r.

Solving this equation for r, we find that Hank would need to earn an interest rate of approximately 0.86% per month, compounded monthly, in order to have a comparable rate of return.

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Answer:

The y-intercept is \(7\)

Step-by-step explanation:

Think of y=mx+b

m is the slope

b is the y-intercept

since 7 is in the b, the y-intercept is 7.

Answer:

the correct answer must be 54, but your problem description was not clear defining what corner (letter) of what triangle corresponds to what corner (letter) of the other. but by deduction of what it cannot be, 54 remains.

Step-by-step explanation:

the most likely problem interpretation :

is 42 (of RPQ) the longer or shorter side (compared to 36 and 28 of STR) ?

since the triangle are similar, their angles must be the same, and the side lengths of both triangles must have a constant factor in their relation to each other.

first assumption : 42 is the longer side of RPQ.

then the solution could only be 24 (the only solution option smaller than 42). then 42 must be of the same relation to 36, as 24 is to 28. which is wrong, because 42 is bigger than 36, but 24 is smaller than 28.

so, second assumption, 42 is the shorter side of RPQ.

then 42 is in the same relation to 28, as x is to 36.

so, 42/28 = x/36.

=> 42/7 = x/9

=> 6 = x/9

=> 6*9 = x = 54

By interpretating the graph of a quadratic equation, the initial height of the ball is equal to 5 feet above ground.

In this problem we must determine the initial height of the ball according to a graph, whose form resembles quadratic equations. Graphically speaking, the initial height is the y-coordinate of the y-intercept. First, the coordinates of the y-intercept of the equation are:

(t, h) = (0 s, 5 ft)

Second, the final height of the ball is equal to:

h = 5 ft

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Answer:

correct choice is the last one

Step-by-step explanation:

let h = cost of 1 hamburger meal

let c = cost of 1 chicken nugget meal

5h + 6c = 39

9h + 2c = 35

The 10the term of the sequence -1/1, -1/2, -1/9, -1/64....is -1/1,000,000,000

-1/1, -1/2, -1/9, -1/64

This can be written as;

-1/1° , -1/2¹, -1/3², -1/4³, -1/5⁴, -1/6^5, -1/7^6, - 1/8^7, -1/9^8, -1/10^9

So,

First term = -1/1,

Second term = -1/2,

Third term = -1/9,

Fourth term = -1/64,

Fifth term = -1/625,

Sixth term = -1/7,776,

Seventh term = -1/117,649,

Eighth term = -1/2,097,152,

Ninth term = -1 / 43,046,721,

Tenth term = -1/1,000,000,000

Therefore, the 10th term is -1/1,000,000,000

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