Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = -5 - 5 cos θ

Answers

Answer 1

y-axis symmetry=(r, theta)=(-r,theta)
-5-5cos(theta)=r
-r=5+5cos(theta)
no y-axis symmetry
x-axis symmetry=(r,theta)=(r,-theta)
cosine is an even function, so yes it is symmetric around x-axis
origin symmetry=(r,theta)=(-r,theta) or (r, theta+pi)
no, as there is no y-axis symmetry

Answer 2

Answer:

x-axis symmetry

Step-by-step explanation:

Related Questions

Help please! I will give Brainliest to most detailed answer:)

The figure shows three right triangles. Triangles JKM, KLM, and JLK are similar.
Theorem: If two triangles are similar, the corresponding sides are in proportion.

Using the given theorem, which two statements help to prove that if segment JL is x, then x^2 = 100?

1.) Segment JL • segment JM = 64
Segment JL • segment LM = 48

2.)Segment JL • segment JM = 48
Segment JL • segment LM = 36

3.)Segment JL • segment JM = 64
Segment JL • segment LM = 36

4.)Segment JL • segment JM = 36
Segment JL • segment LM = 64

*If you can, could you please give an explanation? Thanks.

Answers

Now, the way I got those proportions is something called geometric means. A geometric mean between two numbers a and b is defined
Whenever you have a situation like this where you have the three similar right triangles with 2 of them within the bigger one, there are three relationships of "geometric means" that are extremely helpful (they are just similar triangles, so you can derive them later too).
I don't want to make this too hard for you the answer is
D.Segment JL x segment JM = 36 Segment JL x segment LM = 64

Line AB has endpoints A(-4,5) and B(3,5). What is the x-coordinate of a point C such that B is the midpoint of line AC

Answers

easy peasy

the midpoint between [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is
[tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
just average them

so given that (3,5) is the midpoint of (-4,5) and (x,y)
[tex](\frac{-4+x}{2},\frac{5+y}{2})=(3,5)[/tex]
so by logic
[tex]\frac{-4+x}{2}=3[/tex] and [tex]\frac{5+y}{2}=5[/tex]
times both sides by 2 for everybody
-4+x=6 and 5+y=10
add 4 to both sides for left one and minus 5 from both sides for right
x=10 and y=5

the coordinate of point C is (10,5)
the x coordinate is 10

what are the discontinuities of the function f(x)= (x^2 - 36)/(4x - 24)

Answers

The function f(x) = (x² - 36)/(4x - 24) has a removable discontinuity at x = 6, due to the fact that at this value the original function's denominator becomes zero.

The function given is f(x) = (x² - 36)/(4x - 24). To find the discontinuities of this function, we must identify values of x that cause the denominator to be zero, as the function would be undefined at those points. Factor the numerator and the denominator to simplify the expression. (x² - 36) can be factored as (x + 6)(x - 6), and (4x - 24) can be factored as 4(x - 6). So, the simplified function is f(x) = (x + 6)/4, but we must exclude the value x = 6 from the domain due to it making the original denominator zero. Therefore, the function is discontinuous at x = 6, which is also known as a point of removable discontinuity because the factor (x - 6) is canceled out in the simplification.

Mr. Scrubs got some money for his birthday he spent 1/5 of it on dog treats then he divided the remainder equally among his 3 favorite charities what fraction of his money did each charity receive ? If he donated 60 to each charity , how much money did he received for his birthday

Answers

1/5 spent on dog treats
4/5 left

4/5 divided into 3 parts means 60 for each charity
1/3 of 4/5=4/15
4/15 of total=60 for each charity
times bot sides by 15/4
total=900/4
total=225

he recieved $225 for his birthday

CAN SOMEONE WHO KNOWS HPW TO DO THIS EXPLAIN ME THESE

Answers

rotational symmetry means it can be rotated around the center and still be the same
example: the letter O

for reflection symmetry, it has 1 line of reflection and can be reflected across that line and map on itself
example: U

so the one in the middle is the one with both symmetries

alright, so the letters A,B,C,D,E,K,M,T,U,V,W,Y go in the left circle
the letters N,S,Z go on the right most circle
and the letters H,I,O,X go in the intersection
the rest of the letters are outside

3x + 3 − x + (−7) > 6 what is x

Answers

3x+3-x+(-7)>6

combine like terms on left side

2x-4>6

add 4 to both sides 2x>10

x=10/2 = 5

x>5

Help. Solve for x. Show your work.
a. picture one show your work
b. picture 2 show your work

Answers

Secants from the same point have the same product of length to the near intersection times length to the far intersection from the point.

1) 5(5+x) = 6(6+4)

... 25 + 5x = 60 . . . . eliminate parentheses using the distributive property

... 5x = 35 . . . . . . . . subtract 25

... x = 7 . . . . . . . . . . . divide by 5

2) The same rule applies.

... 3(3+5) = 4(4+x)

... 24 = 16 + 4x . . . . . eliminate parentheses

... 8 = 4x . . . . . . . . . . . subtract 16

... 2 = x . . . . . . . . . . . . divide by 4

Ben and his housemates signed a lease for an apartment for 12 months for $563 per month of which Ben agreed to pay $215 per month. Which of the following statements best gives the reasons that Ben’s rent payment is an essential (fixed) expense? a. It cannot be eliminated in a later budget, in order to save money. b. Living expenses have a higher priority than any other type of expense. c. The spender controls the amount of the rent by choice of apartment. d. He agreed to pay the same amount every month.

Answers

Answer is D on E2020

Solution:

Cost of apartment(Ben + Housemates) = $ 563 per month

Amount paid by Ben per month = $ 215

Yes, Accommodation provided by someone for fixed amount is an essential Expense.

All the three statements regarding Ben who pays $ 215 per month are true.

a. It cannot be eliminated in a later budget, in order to save money.

b. Living expenses have a higher priority than any other type of expense.

c. The spender controls the amount of the rent by choice of apartment.

No woman has broken the 10-second barrier in the 100 -meter runfind probability the empirical probability that a womwn will break the 10 second barrier next year ?

Answers

Let me help you!

What we have so far:
Number of times the event occured = 0
Total number of times the event was performed = 0

We will use the empirical probability formula for this problem:
Empirical probability formula = Number of times the event occured / Total number of times the event was performed

Solving for the porblem:
Empirical probability formula = 0.

*** Without even solving the problem, you can take the word "NO" as a hint that there's simply no chance any woman can beak the 10 seconds barrier in a 100 meter run.

Therefore, there is 0 probability that a woman will break the 10 seconds barrier in a 100 meter run.

Final answer:

We cannot definitively conclude the sprinter's improvement in time due to the ±0.05 seconds uncertainty of the stopwatch. Additionally, the stopwatch's uncertainty hinders accurate timing in close races, making it possibly unhelpful for precise measurements.

Explanation:

The subject of the question is probability, but the scenario provided deals with the uncertainty of a stopwatch rather than the probabilities of breaking records. The uncertainty of the stopwatch is ±0.05 seconds. Analyzing the times recorded, the sprinter's time improved from 12.04 seconds to 11.96 seconds, but due to the stopwatch's uncertainty, it's not possible to definitively conclude that this week's time was faster since both times could vary by ±0.05 seconds. Likewise, when the times of the first and second place sprinters at the last track meet are considered, the difference in their times is 0.03 seconds, which is within the margin of error of the stopwatch. Therefore, the new stopwatch might not be helpful in accurately determining the winner in close races where the time difference is within the uncertainty range of the stopwatch.

How does the volume of an oblique cone change if the height is reduced to 2/5 of its original size and the radius is doubled?

Answers

Given that the height is reduced by 2/5 and the radius is doubled, the new volume will be given by:
V=1/3πr^2h
r=2r
h=2/5h
thus;
V=1/3*π*(2r)^2(2/5h)
=8/15πr^2h
This implies that the new volume will be 8/15 of the original volume

Answer:

Option (D) is correct.

Step-by-step explanation:

Let the initial original height of the cone is h and radius is r.

The volume of original cone is given by

[tex]V=\frac{1}{3}\times \pi r^{2}\times h[/tex]

Now the new height be h' = 2/5 h and radius r' = 2r

So, the new volume be

[tex]V'=\frac{1}{3}\times \pi r'^{2}\times h'[/tex]

[tex]V'=\frac{1}{3}\times \pi\times 2r^{2}\times \frac{2}{5}h[/tex]

[tex]V=\frac{8}{15}\times \pi \times r^{2}h[/tex]

the expression equivalent to sin 3x−sin x is what

Answers

Answer:

The required equivalent form of given expression is

[tex]\sin 3x-\sin x=2\cos 2x\sin x[/tex]

Step-by-step explanation:

Given : Expression [tex]\sin 3x-\sin x[/tex]

To find : The expression is equivalent to ?

Solution :

Applying trigonometric formula,

[tex]\sin a - \sin b = 2\cos(\frac{a+b}{2})\sin(\frac{a-b}{2})[/tex]

where, a=3x and b=x

[tex]\sin 3x-\sin x=2\cos(\frac{3x+x}{2})\sin(\frac{3x-x}{2})[/tex]

[tex]\sin 3x-\sin x=2\cos(\frac{4x}{2})\sin(\frac{2x}{2})[/tex]

[tex]\sin 3x-\sin x=2\cos 2x\sin x[/tex]

Therefore, The required equivalent form of given expression is

[tex]\sin 3x-\sin x=2\cos 2x\sin x[/tex]

The expression equivalent to (sin 3x-sin x) is 2cos(2x)sin(x) and this can be determined by using the trigonometric properties.

Given :

Expression -- (sin 3x - sin x)

The following steps can be used in order to determine the expression equivalent to (sin 3x - sin x):

Step 1 - The trigonometric properties can be used in order to determine the expression equivalent to (sin 3x - sin x).

Step 2 - Below are the properties that help to evaluate the given expression.

[tex]\rm sin \;A - sin\;B = 2cos\left(\dfrac{A+B}{2}\right) sin\left(\dfrac{A-B}{2}\right)[/tex]

Step 3 - Use the above-mentioned property in the given expression.

[tex]\rm sin \;3x - sin \; x = 2 cos\left(\dfrac{3x+x}{2}\right) sin\left(\dfrac{3x-x}{2}\right)[/tex]

[tex]\rm sin \;3x - sin \; x = 2 cos\left(\dfrac{4x}{2}\right) sin\left(\dfrac{2x}{2}\right)[/tex]

[tex]\rm sin \;3x - sin \; x = 2 cos\left(2x\right) sin\left(x\right)[/tex]

So, the expression equivalent to (sin 3x-sin x) is 2cos(2x)sin(x).

For more information, refer to the link given below:

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Write the expression as either the sine, cosine, or tangent of a single angle.

sine of pi divided by two times cosine of pi divided by seven plus cosine of pi divided by two times sine of pi divided by seven.

Answers

Note that
sin(x + y) = sin(x) cos(y) + cos(x) sin(y).

Therefore by setting x = π/2 and y = π/7, obtain
sin(π/2 + π/7) = sin(π/2)*cos(π/7) + cos(π/2)*sin(π/7)

The right side is what we want to evaluate. It is equal to
sin(π/2 + π/7) = sin (9/14)π

Answer: [tex]sin( \frac{9 \pi }{14}) [/tex]

An airplane is flying at 180mph. A jet flying at 330 mph leaves 1 hour later traveling in the same direction. How long will it take for the jet to catch up to the airplane?

Answers

Final answer:

To determine how long it will take for the jet to catch up to the airplane, calculate the time by dividing the distance the airplane covers before the jet starts (180 miles) by the relative speed of the jet to the airplane (150 mph), resulting in 1.2 hours or 72 minutes.

Explanation:

The subject of the question is related to the topic of relative velocity in Mathematics, specifically regarding two objects moving in the same direction. To find out how long it will take for the jet to catch up to the airplane, we need to calculate the relative speed of the two vehicles and the time it takes for one to overtake the other.

The airplane is moving at 180 mph, and the jet is flying at 330 mph. Since the jet leaves one hour later, the airplane would have traveled 180 miles by that time. The relative speed of the jet to the airplane is the difference between their speeds, which is 330 mph - 180 mph, resulting in 150 mph.

To catch up, the jet needs to cover the 180 miles separation distance at a relative speed of 150 mph. We can find the time it takes to catch up by dividing the distance by the relative speed:

Time = Distance ∗ Relative Speed = 180 miles ∗ 150 mph = 1.2 hours.

Therefore, it will take 1.2 hours or 72 minutes for the jet to catch up to the airplane after it starts its pursuit.

Express log2 6 + log2 7 as a single logarithm.

Answers

use the basic rule of logs for multiplication:

log a + log b = log a*b

Here you are adding two logs to the base 2, and your result will also be a log to the base 2.

log to the base 2 of 6 PLUS log to the base 2 of 7 results in:
"log to the base 2 of 6*7," or "log to the base 2 of 42."

Answer: The correct option is (C) [tex]\log_242.[/tex]

Step-by-step explanation: We are given to express the following logarithmic expression as a single logarithm :

[tex]E=\log_26+\log_27~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(I)[/tex]

We will be using the following logarithmic property :

[tex]\log_ab+\log_ac=\log_a(bc)[/tex]

So, from expression (i), we get

[tex]E=\log_26+\log_7=\log_2(6\times 7)=\log_242.[/tex]

Thus, the required single logarithm is [tex]\log_242.[/tex]

Option (C) is CORRECT.

Find the product. (7 - 10x)2

Answers

The product of 7-10x and 2 is 14-20x

It should have been written as:

(7-10x)^2 the ^2 means that the parenthetic term is squared, not multiplied by 2.

(7-10x)^2

100x^2-140x+49

That's the answer B.

The equation y = ax describes the graph of a line. If the value of a is negative, the line

Answers

The equation y = ax represents a straight line with slope a. If a is negative, the line slopes downward to the right, not down and to the left.

The equation y = ax describes the graph of a line. The & in the equation appears to be a typo and should likely refer to a. The constant a represents the slope of the line. When the slope a is negative, the line slopes downward as it moves to the right on a coordinate plane. This is because a negative slope indicates that as the independent variable (usually the x-axis) increases, the dependent variable (y-axis) decreases. A line with a negative slope is straight, and its steepness depends on the absolute value of the slope a. Thus, the line goes down and to the left.

Given the function f(x) = 0.5(3)x, what is the value of f−1(7)? 1) 0.565 2) 1.140 3) 1.771 4) 2.402

Answers

y = .5(3)x = 1.5x
The inverse is x = 1.5 y which is f^-1(x)
Then y = x/1.5
f^-1(7) = 7/1.5 = 14/3 which is not an answer.
Is the problem written correctly.

Answer:7=0.5 |x-4| -3

+3 +3

10=0.5 |x-4|

10/0.5=0.5/0.5 |x-4|

20=|x-4|

-20=x-4 20=x-4

+4 +4 +4 +4

-16=x 24=x

The answers are -16=x and 24=x

Hope this helps, an if it pleases you put as the brainliest answer!

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Step-by-step explanation:

Use the given line(s) from a random number table to select numbers to use in each problem. Select 2 contestants for a game show out of a pool of 50 46547 17395 25765 11325 14071 61688

A. 39, 25 B. 46, 47 C. 4, 6 D. 46, 25

Answers

The solution would be like this for this specific problem:

Given:

46547 17395 25765 11325 14071 61688

You want two-digit numbers between 01 and 50, so break it up into chunks of two and eliminate any string that is not between 01 and 50.

So, the numbers from the string are:

46 54 71 73 95 25 76 51 13 25 14 07 16 16 88

Eliminated numbers:

54 71 73 95 25 76 51 88

Numbers remaining:

46 25 13 14 07 16

So, the 2 contestants from a game show out of a pool of 50 would be 46 and 25 (since these are the possible contestants based from the given).

Eliza Savage received a statement from her bank showing a checking account balance of $324.18 as of January 18. Her own checkbook shows a balance of $487.38 as of January 29. The bank returned all of the cancelled checks but three. The amounts of these three checks are $15.00, $77.49, and $124.28. How much did Eliza deposit in her account between January 18 and January 29?

Answers

Eliza started out with $324.18 on Jan. 18th and had outstanding cheques of $15.00+77.49+$124.28=$216.77. So her actual balance was $324.18-$216.77=$107.41. Now she has $487.38 so $487.38-$107.41=$379.97 balance for the deposited amount.

5x2−320 factored completely?

Answers

First take out the GCF (5)
5(x^2-64)
It's a perfect square so we can go further
5(x+8)(x-8)

First factor out the 5 so you have 5(x2-64). Since (a+b)(a-b)=(a^2-b^2)
(x^2-64)=(x-8)(x+8). So completely factored is 5(x-8)(x+8).

a truck is going to a village and stops to see four trucks. how many trucks are going to the village?

Answers

Originally, one truck was going to a village. It later stopped to see four trucks, so currently, no trucks are going to the village.

The truck going to the village remains one.

This question appears to be an example of logical reasoning. If a truck is going to a village and stops to see four trucks, the number of trucks going to the village is still one. The fact that the truck stops to see four other trucks does not change its own path or destination.

If g(x)=k*f(x), what would be the value of k? How would I find k?

Answers

The value of k is -2

Which answer represents the range of the logarithmic function given below? F(x) = log7 x
A. x>=0
B. x<0
C. x>0
D. All real numbers

Answers

For your info, the answers A, B, C, D represents the DOMAIN and not te RANGE. However find here below the DOMAIN & te RANGE

f(x) = log₇(x). Whatever is the base, the domain is x>0 and the ASYMPTOTE
is x=0. Hence the DOMAIN is x>0 (answer C)
Regarding the range their is no limitation and the range is:
-∞ <y< +∞
or
Range = {y / y ∈ R}

Range of the logarithmic function F(x) = log7 x is C. x > 0.

What is a logarithm?

The logarithm is exponentiation's opposite function in mathematics.

This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b. For instance, because 100 = 10², the logarithm of 100 in base 10 is 2, or log10 = 2.

In the given question, F(x) = log7 x.

Assuming log7 x = y.

Therefore, x is the value equal to [tex]7^y[/tex], hence it can not be zero and negative.

Even if y is equal to zero [tex]7^y[/tex] would be 1.

∴ The range of the logarithmic function F(x) = log7 x is x > 0.

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factor the trinominal below please

Answers

I cant see it very well but im taking it to be
x^2 + 15x + 56

7*8 = 56 and 7 + 8 = 15 so it is

(x + 7)(x + 8)

you have 15 x and 56

so you need two numbers when added equal 15 and when multiplied equal 56

and since they are both positive, the answer also needs to be positive

so B is the correct answer

On a particular day, the wind added 4 miles per hour to Jaime's rate when she was rowing with the wind and subtracted 4 miles per hour from her rate on her return trip. Jaime found that in the same amount of time she could row 57 miles with the wind, she could go only 33 miles against the wind.What is her normal rowing speed with no wind?

Answers

24 is her normal rowing speed

Answer:

15 mph

Step-by-step explanation:

Speed of wind = [tex]V_w[/tex] = 4 mph

Speed of Jaime rowing = [tex]V_r[/tex]

Speed of boat against wind = [tex]V_r-4[/tex].

Speed of boat with wind = [tex]V_r+4[/tex]

Time taken with and against wind is same = t

Distance travelled with wind = 57 mph

Distance travelled against wind = 33 mph

[tex]time=\frac{\text{Distance}}{\text{Speed}}[/tex]

Time taken to go with wind

[tex]t=\frac{57}{V_r+4}[/tex]

Time taken to go against wind

[tex]t=\frac{33}{V_r-4}[/tex]

So,

[tex]t=\frac{57}{V_r+4}=\frac{33}{V_r-4}\\\Rightarrow \frac{57}{33}=\frac{V_r+4}{V_r-4}\\\Rightarrow 57V_r-33V_r-228-132=0\\\Rightarrow V_r=\frac{360}{24}\\\Rightarrow V_r=15\ mph[/tex]

∴ Her normal rowing speed with no wind is 15 mph

The table shows the mean daily temperature in North Dakota during a week in February. Which statement about the data is true?
A.The Lowest mean temperature was on wednesday
B.The lowest temperature was on friday
C.The highest mean temperature was on friday
D.The highest mean temperature was on monday

Answers

answer is top right

Lowest mean temp was on Friday (it was NEG 1.7)

The correct option is 2nd option i.e., the lowest mean temperature is on Friday.

The mean temperature in North Dakota during a week in February.

We have to find which statement is true.

What is the method to find mean ?

The mean can be calculated by adding all the given numbers and then dividing by the total no. of numbers.

As per the question ;

Mean daily temperature is given in a table.

Let's arrange these temperatures day wise from highest mean temperature to lowest mean temperature.

i.e.,

Tuesday - 1.3°F > Monday - 1°F > Wednesday - 0°F > Thursday > -1.2°F > Sunday - -1.4°F > Saturday > - 1.5°F > Friday - -1.7°F

So ;

The highest mean temperature is on Tuesday of 1.3°F.

The lowest mean temperature is on Friday of -1.7°F.

Thus , the correct option is 2nd option i.e., the lowest mean temperature is on Friday.

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In the diagram, AC=BD=17 and BC=3. The length of segment AD is

Answers

The length of ad would also have to be the three also. This is logically because ac and bd would be the two going across making them equal. This meaning to connect the lines together if they were parallel bc and ad lengths would be equivalent.

What value is a discontinuity of x squared plus 7 x plus 1, all over x squared plus 2 x minus 15?

Answers

(x^2+7x+1)/(x^2+2x-15)

A discontinuity, specifically a vertical asymptote, will occur when the denominator is equal to zero as division by zero is undefined.

(x^2+2x-15)

(x+5)(x-3)

So you will have two of them, when x=-5 and x=3

Answer:

x = -5 is your answer

Step-by-step explanation:

option c

Simplify the expression
9−8b+6b
9−8b+6b
.

9−8b+6b=??
haha last one XD

Answers

You should get it now from my previous answer.

But to apply it.

9 - 8b + 6b
9 + (-8b + 6b) <- Collect like bases (b)
9 + (-2b)
9 - 2b

Therefore it simplified is 9 - 2b

One of the roots of the equation x^2 + kx -6 = 0 is 3, and k is constant

Answers

In order to solve this problem, we need to use the factor and remainder theorem. Suppose we have a quadratic equation of Q(x) and a binomial x-a=0, where a is a constant such that x=a. When you substitute x=a to the quadratic equation, you use the answer as basis. Whatever the answer is, is the remainder. If the answer is zero, that means that x=a is a factor.

In this case, we substitute x=3 to the quadratic equation and equate to zero to find k.

Q(x) = x²+kx-6
Q(3) = 3²+k(3)-6 = 0
k = -1

The value of k is -1.

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