find a cartesian equation for the curve. r = 9 tan() sec()

The correct option regarding the scale factor and the statement in this problem is given as follows:

D. The statement is false. Because there are 3 feet in one​ yard, there are 9 square feet in one square yard.

The scale factor between the length dimensions of the yard are given as follows:

3 feet = 1 yard.

(as these length dimensions are given in yards).

Then for the square units, the correct scale factor is found applying the proportion as follows:

(3 feet)² = (1 yard)².

9 feet squared = 1 square yard.

Hence the statement given in this problem, that because there are 3 feet in one​ yard, there are also 3 square feet in one square yard, is false, and the correct option is given by option D.

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With a credit card balance of $17,426, a minimum monthly payment of $461, and an interest rate of 15.5%, we need to calculate the number of years it will take to pay off the card without adding any additional debt.

To determine the time required to pay off the credit card, we consider the monthly payment and the interest rate. Each month, a portion of the payment goes towards reducing the balance, while the remaining balance accrues interest.

To calculate the time needed for repayment, we track the decreasing balance each month. First, we determine the interest accrued on the remaining balance by multiplying it by the monthly interest rate (15.5% divided by 12).

We continue making monthly payments until the remaining balance reaches zero. By dividing the initial balance by the monthly payment minus the portion allocated to interest, we obtain the number of months needed for repayment. Finally, we divide the result by 12 to convert it into years.

In this scenario, it will take approximately 3.81 years to pay off the credit card (17,426 / (461 - (17,426 * (15.5% / 12))) / 12).

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Step-by-step explanation:

s is the distance

v is the speed

t is the time

Parallel lines are two straight lines that never cross. For this to happen, the lines have to have the same slope.

In this case, the equation given is in what's called "slope-intersect" form. The general form of the slope intercept formula is y=mx + b where m is the slope of the line and b is the point on the Y-axis where the line crosses.

The equation given is y=5x+3 and since the 5 is in the place of m from the general equation, 5 is the slope. Since parallel lines have the same slope, 5 is the answer.

Slope-Intercept Form:

When we're given a linear equation we can immediately see if it's in the slope-intercept form if it follows the format  y=mx+b. As long as y does not have a coefficient the slope and y-intercept are the values of m and b.

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Answer:

B

Step-by-step explanation:

Answer:

its -1/5

Step-by-step explanation:

Answer:

Step-by-step explanation:

1/2 (1/9) + 2=

1/18 + 2=

2 1/18

Isabella earns $9.50 per hour. She would've earned $475 for the entire 50 hours.

Answer:

Isabella earns $9.50 per hour. She earned $475 for the 50 hours.

Step-by-step explanation:

Answer:

Option 2

Step-by-step explanation:

if it wants to reduce the dollars flowing out of the country, the United States can limit the number of Japanese cars being imported by imposing an Import Quota.

Import Quota:

An import quota is a type of trade restriction that places a physical limit on the amount of goods that can be imported into a country during a specific period of time. Like other trade restrictions, quotas are generally used to the benefit of commodity producers in a given economy (protectionism). The essence of import quotas is to limit the amount of foreign goods that can be brought into a country. Quotas work by allowing only those authorized through a license or government contract to bring in the amount specified in the contract. When the quantity specified in the quota is reached, no more goods can be imported during this period.

There are also quota insurance programs where liability and premiums are distributed proportionately among insurers. For example, three companies have a $1,000,000 fire insurance policy per quota, Company A receives 50% ($500,000), Company B receives 30% ($300,000), and Company C receives 20% ($200,000). If the annual bonus is $5,000, Company A will receive $2,500, Company B will receive $1,500 and Company C will receive $1,000. Company A pays 50%, company B 30% and company C 20% for each claim.

Complete Question:

To reduce dollars flowing out of the country, the United States can take measures to limit the number of foreign cars imported from Japan by imposing a(n).

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Answer:

216 m³

Step-by-step explanation:

let's calculate the area of the front face and then multiply it by 4m

11*3 + (11-4)*3

(left and right triangle equal a rectangle area here)

= 33 + 21

= 54

multiplied by 4

-> 216

the last step is like multiplying with height in other exercises and other bodies

pls brainliest

The given constants are 12,11 and 4

The matrix system has constants that can be written as follows:

Hence option D is correct.

The instructional designer should use the procedure of "Confidence interval for a single proportion" to make the estimate of the proportion of learners who use Firefox as their primary browser.  (option 3)

This procedure allows for the estimation of the true proportion of the population within a certain level of confidence based on a sample proportion. It involves calculating a range of values within which the true proportion is expected to fall with a specified level of confidence. The procedure is appropriate when the variable of interest is categorical, and the goal is to estimate the proportion of individuals in a population who have a certain characteristic, in this case, using Firefox as their primary browser.

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The AREA of the parcel of land area is 14382 sq yd nearest square yard

We can see that the parcel of land is an isosceles triangle with two 45-degree angles. Therefore, the triangle is a 45-45-90 triangle, and the length of each leg is equal to x (say).

We know that the longest side (hypotenuse) is approximately 240.42 yards. Using the relationship in a 45-45-90 triangle, we can write:

longest side = x√2

240.42 = x√2

x = 240.42/√2

x ≈ 169.71

Therefore, the length of each leg is approximately 169.71 yards.

To find the area of the triangle, we can use the formula for the area of a triangle:

area = 1/2 * base * height

In a 45-45-90 triangle, the base and height are equal (since the triangle is isosceles), so we can use either leg as the base and height.

Using x = 169.71 as the base and height, we get:

area = 1/2 * 169.71 * 169.71

area ≈ 14382.42

Rounding to the nearest square yard, we get: area ≈ 14382 sq yd.

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Answer:

LCM = 840

Explanation:

First, we need to find the prime factorization of every number. So 14, 21, and 40 are equal to the product of the following prime number:

14 = 2 x 7

21 = 3 x 7

40 = 2 x 2 x 2 x 5

Now, we need to identify all the prime numbers and the maximum number of times that every prime appears. So, the prime numbers are:

2 = Appears maximum 3 times

3 = Appears 1 time

5 = Appears 1 time

7 = Appears maximum 1 time

So, the LCM is the multiplication of the prime numbers as:

LCM = 2 x 2 x 2 x 3 x 5 x 7

LCM = 840

Therefore, the LCM is 840

Answer:

Step-by-step explanation:

Those are cute names

Im thinking of the name Samia because it means

Answer:

Y=5x - 12

Step-by-step explanation:

Take a point as (x,y) on the (4,8) line,

The slope of equation is 5,

\( \frac{y - 8}{x - 4} = 5\)

Y-8 =5x-20

Y= 5x - 12

A cylinder's curved section has a constant diameter if the circumference of each of its circular bases equals the height of the cylinder.

We have to given that;

the circumference of each circular base of a cylinder is equal to the height of the cylinder.

Now, We get;

A cylinder's curved section has a constant diameter if the circumference of each of its circular bases equals the height of the cylinder.

Hence, As a result, the cylinder's cross section, or the form you see when you cut it perpendicular to its height, will always be round and its diameter will remain constant over the course of the cylinder's height.

Thus, A cylinder's curved section has a constant diameter if the circumference of each of its circular bases equals the height of the cylinder.

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Answer:

  13 ft

Step-by-step explanation:

We assume your height formula is intended to be ...

  h(t) = -16t² +20t +7

This will have its maximum value at ...

  t = -b/(2a) = -20/(2(-16)) = 5/8

The height at that time is ...

  h(5/8) = (-16(5/8) +20)(5/8) +7 = 10(5/8) +7 = 106/8 = 53/4 = 13 1/4 . . . ft

To the nearest whole foot, the diver will reach a height of 13 ft above the pool.

_____

Additional comments

The standard form quadratic can be described as ...

  f(x) = ax² +bx +c

The extreme value occurs at ...

  x = -b/(2a)

This can also be written as ...

  f(x) = (ax +b)x +c

which can make it easier to evaluate for some numerical value of x.

The total number of seeds that Josiah would plant would be = nR×S

To determine the total number of seeds that Josiah will plant will be to add the seeds in the total number of rooms he planted.

Let each row be represented as = nR

Where n represents the number of rows planted by him.

Let the seed be represented as = S

The total number of seeds he planted = nR×S

Therefore, the total number of seeds that was planted Josiah would be = nR×S.

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Answer:

72 cubic feet

Step-by-step explanation:

One cube is one cubic feet.

The formula for the volume of a rectangular prism is:

\(V=lwh\)

---------------------------------------------------------------------------------------------------------------

So:

4 × 3 × 6 = 72

---------------------------------------------------------------------------------------------------------------

Have a good day :)

Answer:

See the below attachment.

Red line refers to \(y=-\frac{2}{3}x-4\), line m

Blue line refer to \(y=x+6\), line t

They both intersect at (-6,0)

Answer:

B) 4

Step-by-step explanation:

The formula for calculating the area of a trapezium:

\(area = \frac{a + b}{2} \times h\)

Where a and b are parallel sides and is the height.

a = 2x+3

b = 3-x

h = x

area = 4x+4

Substitute these values in the equation:

\(4x + 4 = (\frac{2x+3+3-x}{2} )×x\)

\(4x + 4 = ( \frac{x + 6}{2} ) \times x\)

Now multiply the numerator (x+6) with x:

\(4x + 4 = \frac{x {}^{2} + 6x }{2} \)

Multiply both sides by 2 which cancels out the fraction on the right:

\(2(4x + 4) = x {}^{2} + 6x\)

\(8x + 8 = x {}^{2} + 6x\)

Bring 8x and 8 to the right by subtracting them on both sides:

\(8x + 8 - 8x - 8 = x {}^{2} + 6x - 8x - 8\)

\(0 = x {}^{2} + 6x - 8x - 8\)

\(0 = {x}^{2} - 2x - 8\)

Now we can solve for x by factorising:

What two numbers multiply to make -8 and add to make -2? The two numbers are -4 and 2, so we can factor it as:

\(0 = (x - 4)(x + 2)\)

Solving for the first solution :

\((x - 4) = 0\)

\(x = 4\)

Solving for the second solution:

\((x + 2) = 0\)

\(x = - 2\)

x is equal to 4 and -2, however, we cannot have a negative length of -2

Hence x = 4

Answer: The correct answer is A :)

Answer:

16.15

Step-by-step explanation:

sin(30) = a / c

a = c * sin(30)

a = 32.3 * 0.5

a = 16.15

Answer: 300 minuets

Step-by-step explanation:

Answer:

350

Step-by-step explanation:

60 miles is 1 hr. all it is, is a ratio.  multiply 60 by 5 to get your answer; 350

To spend twice as much time in the air, the juggler must toss the balls to a height of 4.4 yards.

The time it takes for an object to fall to the ground is given by the equation:

t = sqrt(2h/g)

where h is the height of the object and g is the acceleration due to gravity (9.8 m/s²).

If the juggler wants the balls to spend twice as much time in the air, they need to toss them to a height that is four times higher. So, the new height must be:

h = 4 * 2.2 = 4.4 yards

Therefore, the juggler must toss the balls to a height of 4.4 yards if they want them to spend twice as much time in the air.

Here are some other things to consider:

The juggler's technique may also affect how long the balls stay in the air. For example, if they throw the balls with a lot of force, they will stay in the air for longer.

The air resistance may also affect how long the balls stay in the air. For example, if the air is very humid, the balls will slow down more quickly and will not stay in the air for as long.

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To spend twice as much time in the air, the juggler must toss the balls to a height of 4.4 yards.

The time it takes for an object to fall to the ground is given by the equation:

t = sqrt(2h/g)

where h is the height of the object and g is the acceleration due to gravity (9.8 m/s²).

If the juggler wants the balls to spend twice as much time in the air, they need to toss them to a height that is four times higher. So, the new height must be:

h = 4 * 2.2 = 4.4 yards

Therefore, the juggler must toss the balls to a height of 4.4 yards if they want them to spend twice as much time in the air.

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Answer: sum=1 subtrahend=2

Step-by-step explanation:

Answer:

1 is added      2 is minued     3 is difference       4 is fraction bar      5 us numerater        6 is denominater       7 is added    8 is subtrahed

Step-by-step explanation:

it hard to exsplain hope i helped

Considering that y is between x and z, we have that:

We consider that y is between x and z, hence the length of the segment is given by:

xz = xy + yz

The separate lengths are given as follows:

Hence:

4k + 38 = 3k - 2 + 7k + 4.

4k + 38 = 10k + 2

6k = 36

k = 6.

Hence the length of yz is given by:

yz = 7k + 4 = 7(6) + 4 = 42 + 4 = 46 units.

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To form a triangle, the set of line segments must satisfy the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Therefore, we need to check if the given line segments 8 cm, 4 cm, and 3 cm meet this requirement.

We can start by checking if the sum of the two smaller sides (3 cm and 4 cm) is greater than the largest side (8 cm). 3 cm + 4 cm = 7 cm, which is less than 8 cm. Therefore, these three line segments cannot form a triangle.

In general, for a set of line segments to form a triangle, the largest side must be smaller than the sum of the other two sides. In this case, the line segment of 8 cm is too long compared to the other two sides, which makes it impossible to form a triangle.

In conclusion, there are no line segments that meet the requirements to form a triangle with lengths of 8 cm, 4 cm, and 3 cm.

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