Convert the rectangular equation to polar form. y^2 − 14x − 49 = 0

Answer:

8.604 in.

Step-by-step explanation:

We can use the formula for compound interest to find the height of domino #9:

A = P(1 + r)^n

where A is the final amount, P is the initial amount, r is the growth rate, and n is the number of compounding periods. In this case, P is the height of domino #0, r is 15% or 0.15, and n is 9 (since we want to find the height of domino #9).

Substituting the given values:

A = 3.00 in * (1 + 0.15)^9

Simplifying:

A = 3.00 in * 2.86797199

A ≈ 8.604 in

Therefore, the height of domino #9 is approximately 8.604 inches.

Answer:

  B.  (0, 3) (1, 4) (2, 5) (3, 6)

Step-by-step explanation:

An ordered pair is (x, y). So the first number in the first ordered pair is x=0, or (0, _).

The value of y is 3 more than the value of x, so the first ordered pair is (0, 3). This matches answer choice B.

Answer:

22%

Step-by-step explanation:

Given that:

Number of hours at work daily = 8 hours

Number of days at work per year = 240

Total number of hours at work per year = Number of hours at work daily \(\times\) Number of days at work per year

Total number of hours at work per year = 8 \(\times\) 240 = 1920 hours

Total number of days in an year = 365

Total number of hours per day = 24

Total number of hours in an year = 24 \(\times\) 365 = 8760

Here, to find the probability that the earthquake will occur while the person is at work, we actually have to find the fraction of number of hours at work to the total number of hours in an year.

Therefore, the required probability is:

\(\dfrac{1920}{8760} \approx \bold{0.2191}\)

Therefore the probability to the nearest percent is: 22%

Answer: it is a $16,000 increase

According to the information, the missing number from the box is number 40.

To find the missing number of the table we must take into account different elements. In particular we must look at the totals and the columns and rows in which the empty space is. Once we identify the totals we can subtract the other values from the total and find the missing number in the table.

According to the above we can infer that the missing number is 40.

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The value of 3¾ft in yards would be = 1 6/25 yard

A mixed number is the type of number that is made up of three parts such as the whole number, a numerator and a denominator.

To convert to yards;

1 ft = 0.33 yard

3¾ = X yards

make x yards the subject of formula;

X yards = 3¾ × 0.33

X yards = 3.75×0.33

X yards = 1.24 yards

X yards in mixed number= 124/100 = 31/25 = 1 6/25 yard.

Note that the final value which is 124/100 is reduce to the lower figure by dividing through with 4 to arrive at the mixed number 1⁶/25

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All thre functions share the same y intercept

We can analyze the characteristics of the given functions based on the information provided in the table.

We cannot determine which function has the greatest maximum based on the table alone, as we do not have the complete graph of any of the functions.

We can see from the table that h(x) has an x-intercept of 0, which is the smallest among the three functions. Therefore, we can say that h(x) has the smallest x-intercept.

We can see from the table that g(x) has a minimum value of -204, which is the smallest among the three functions. Therefore, we can say that g(x) has the smallest minimum value.

We cannot determine if all three functions share the same domain based on the table alone. We can only see that all three functions have been evaluated at the same set of input values.

We can see from the table that the y-intercept of f(x) is 2, the y-intercept of g(x) is 3, and the y-intercept of h(x) is 4. Therefore, we can say that all three functions have different y-intercepts.

Therefore, the statements that can be used to compare the characteristics of the functions are:

h(x) has the smallest x-intercept.

g(x) has the smallest minimum value.

All three functions have different y-intercepts.

Answer:

y = 3x+1

Step-by-step explanation:

Well, slope intercept form is y =mx+b, and to find the slope, you have to take two of the examples for y, and divide it by 2 examples of the x, like so:

7- (-5) / 2- (-2) which is 12/4 which is 3, so the slope is 3.

we now can make the first part of the equation:

y = 3x + b

Now we just need "b". To find b, just substitute the x and y values for two values shown on the chart, such as -2 and -5. (They have to be on the same row).

-5 = 3x-2 + b

you get:

-5 = -6+b

which is equal to:

b = 1

So, putting b back in the equation, you get:

y = 3x+1

Answer : 8$

you have 1$ left

Answer:

I need to see the equation

Answer:

12 percent

Step-by-step explanation:

12 percent becaus.it was way to easy

Answer:

There are two types of hypotheses tests. null and alternative

They are complements.

Step-by-step explanation:

There are two types of hypotheses tests. null and alternative

the table shows the summary of both tests.

True Situation                              DECISION

                                  Accept H0             Reject H0

                                                               (or accept Ha)

H0 is true          Correct decision       Wrong Decision

                            (no error)                     type I error          

H0 is false          Wrong Decision           Correct decision

                             type II error                 ( no error)    

The probability of making a type I error is conventionally denoted by alpha and that of committing a type II error is indicated by beta.

∝ = P ( type I error) = P (reject H0 / H0 is true)

β = P (type II error) = P (accept H0 / H0 is false)

When ∝ becomes larger, β tends to become smaller . There is inverse relationship between ∝ and β.

When H0 is true Ha is false when Ha is false H0 is true. So they are compliments of each other.

The length of the rectangle is twice its width. If its perimeter is 7 1/3 cm, its length will be 22/9 cm, and the width is 11/9 cm.

Let's assume the width of the rectangle is "b" cm.

According to the given information, the length of the rectangle is twice its width, so the length would be "2b" cm.

The formula for the perimeter of a rectangle is given by:

Perimeter = 2 * (length + width)

Substituting the given perimeter value, we have:

7 1/3 cm = 2 * (2b + b)

To simplify the calculation, let's convert 7 1/3 to an improper fraction:

7 1/3 = (3*7 + 1)/3 = 22/3

Rewriting the equation:

22/3 = 2 * (3b)

Simplifying further:

22/3 = 6b

To solve for "b," we can divide both sides by 6:

b = (22/3) / 6 = 22/18 = 11/9 cm

Therefore, the width of the rectangle is 11/9 cm.

To find the length, we can substitute the width back into the equation:

Length = 2b = 2 * (11/9) = 22/9 cm

So, the length of the rectangle is 22/9 cm, and the width is 11/9 cm.

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Step-by-step explanation:

I guess, she is checking how FAR she runs each day (and not how fast ...).

how many more miles did she run on Friday ?

we get this by calculating the difference between the 2 values. that is what subtraction is for.

7 2/8 - 3 3/4

as long as we have the numbers as combination of full and fraction numbers, we can subtract the full numbers right away.

7 2/8 - 3 3/4 = 4 2/8 - 3/4

now we convert both numbers to full fractions :

4 2/8 - 3/4 = (32 + 2)/8 - 3/4 = 34/8 - 3/4

and then we bring both fractions to the same denominator, in this case 1/8 :

34/8 - 3/4 = 34/8 - 3/4×2/2 = 34/8 - 6/8 = 28/8

now we can simplify

28/8 = 7/2 = 3 1/2

so, she ran 3 1/2 miles more in Friday than on Tuesday.

FYI

I just wanted to show you the full formal flow of such a calculation.

but we could have gotten the result quicker by recognizing that we can simplify the numbers already at the beginning :

7 2/8 - 3 3/4 = 7 1/4 - 3 3/4 = 4 1/4 - 3/4 = 3 2/4 = 3 1/2

Answer: To reflect a point across the x-axis, you need to change the sign of the y-coordinate. Therefore, the point (-7.2, 2) reflected across the x-axis becomes (-7.2, -2).

To reflect a point across the y-axis, you need to change the sign of the x-coordinate. Therefore, the point (-7.2, -2) reflected across the y-axis becomes (7.2, -2).

The resulting shape is a rectangle with one corner at (-7.2, 2) and the opposite corner at (7.2, -2).

Step-by-step explanation:

Answer:1.325

Step-by-step explanation:

Answer:

108 eggs

Step-by-step explanation:

9×12=108 eggs

Hope it helps!!!

Answer:

Seems like it's B

Step-by-step explanation:

The rest seem wrong.

---↓

A- Jon paid $235.50 for yard work. He paid $25.00 to have some

bushes trimmed and $35.50 each time he had his grass mowed. What is

x, the number of times Jon had his yard mowed? | The equation is 25x + 35.50 = 235.50 . That means this answer is probably wrong.

·

C- Jon paid $235.50 for yard work. He paid $35.50 to have some

bushes trimmed and $25.00 each time he had his grass mowed. What is

x, the number of bushes Jon had trimmed? | Once again, the equation is 25x + 35.50 = 235.50 . That means this answer is probably wrong too.

·

D- Jon and his neighbor paid $235.50 for yard work. Jon paid $35.50 to have some bushes trimmed and his neighbor had some bushes trimmed for  $25.00 each. What is x, the amount of money Jon paid to have his bushes trimmed? | It says that Jon paid $35 to have his bushes trimmed in the sentence.

~~~~~~~~~~~~~~~~~~~~

B- Jon paid $235.50 for yard work. He paid $35.50 to have some

bushes trimmed and $25.00 each time he had his grass mowed. What is

x, the number of times Jon had his yard mowed?

The equation is 25x + 35.50 = 235.50 || We would put the x after 25 because it's asking "What is  x, the number of times Jon had his yard mowed?" This seems correct.

Therefore, the answer would be B

Answer:

0.25 g/mL

Step-by-step explanation:

d=m/v

6 g / 24 mL

0.25 g/mL

both (g) and mL were only used once so the answer includes both of them

The value of x from the venn diagram if P(T | V) = 1/5 is 16

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

The venn diagram

From the venn diagram, we have the following probability values

P(T | V) = (x - 4)/(3x + x - 4)

Evaluate the like terms

So, we have

P(T | V) = (x - 4)/(4x - 4)

From the question, we have

P(T | V) = 1/5

This means that

(x - 4)/(4x - 4) = 1/5

When evaluated, we have

x = 16

Hence, the value of x is 16

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Answer:

evaluation : 38.5 38.5   is the answer because you simplify this term

Step-by-step explanation:

The only matrix that is certainly symmetric is a)\((a^2 - b^2).\)

We know that a matrix A is symmetric if it is equal to its transpose, that is \(A = A^T.\)

a) \((a^2 - b^2)\)

We can write the transpose of this matrix as

\((a^2 - b^2)^T = (a^2)^T - (b^2)^T = a^2 - b^2\), which is equal to the original matrix. Therefore, this matrix is symmetric.

b) (A+B)(A-B)

Expanding this expression, we get \((A+B)(A-B) = A^2 - AB + BA - B^2.\)

Taking the transpose of this, we get \((A^2)^T - (AB)^T + (BA)^T - (B^2)^T = A^2 - BA + AB - B^2.\)

Since AB and BA may not be equal, we cannot say for certain that this matrix is symmetric.

c) ABA

Taking the transpose of this matrix, we get\((ABA)^T = A^T B^T A^T\). Since \(A^T and B^T\) may not commute, we cannot say for certain that this matrix is symmetric.

d) ABAB

Taking the transpose of this matrix, we get \((ABAB)^T = B^T A^T B^T A^T\). Again, since \(A^T and B^T\) may not commute, we cannot say for certain that this matrix is symmetric.

Therefore, the only matrix that is certainly symmetric is a) \((a^2 - b^2).\)

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Answer:

10/91

Step-by-step explanation:

There are 14 candies in the bag so the amount of ways possible to choose two of them is 14 * 13 = 182. There are 5 * 4 = 20 ways to choose two green ones so the probability is 20 / 182 = 10 / 91.

The probability that a randomly selected part is defective is given as follows:

6.6%.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes.

For this problem, the outcomes are given as follows:

Hence the probability that a randomly selected part is defective is given as follows:

p = 1287/19500 = 0.066 = 6.6%.

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Solution:

Given:

Since the bottom of the cylinder will not be painted and the top is spherical.

The top is a hemisphere. Hence, the surface area to be painted will be;

Hence,

Therfore, the surface area to be painted is ;

Answer:

7.2 -1/4 -3.7 -14

Step-by-step explanation:

We are given that an item costs $50 and has a discount of 10%. To determine the discount selling price we need to subtract 10% of $50 from the original price.

To determine the 10% of the original price we determine the product of $50 by 10/100, like this:

Now we subtract this from the original price:

Therefore, the discount selling price is $45.

Answer:

X=12

Step-by-step explanation: