We want to plot a graph of ;
\(r=2\cos (2\theta)\)Using the formula;
\(r=a\cos (n\theta)\)\(\begin{gathered} \text{Where a}\ne0 \\ \text{and } \\ n\text{ is an integer }>1 \end{gathered}\)The graph will have the rose form.
And if the value of n is odd, the rose will have n petals, if the value of n is even, the rose will have 2n petals;
For the given question;
n = 2 (even)
So, the rose will have;
\(\begin{gathered} 2n=2(2) \\ =4\text{ petals} \end{gathered}\)The graph is shown below;
Explain why the two figures below are similar?
Answer:
6ix9ine
Step-by-step explanation:
Rationalize denominator
Answer:
work is shown and pictured
What is the distance between (12, –7) and (–3, –7)?
10 units
14 units
15 units
19 units
Answer:
15 units
Step-by-step explanation:
The distance between two points in a two-dimensional coordinate system can be calculated using the distance formula, which is derived from the Pythagorean theorem. The distance formula is:
d = √((x2 - x1)^2 + (y2 - y1)^2)
where (x1, y1) and (x2, y2) are the coordinates of the two points, and d is the distance between them.
In this case, the coordinates of the two points are:
Point 1: (12, -7)
Point 2: (-3, -7)
Plugging these values into the distance formula, we get:
d = √((-3 - 12)^2 + (-7 - (-7))^2)
Simplifying further:
d = √((-15)^2 + (0)^2)
d = √(225 + 0)
d = √225
d = 15
So, the correct answer is 15 units.
What’s the missing number?
Step-by-step explanation:
Notice that:
1st column = (5 - 1)² = 16
2nd column = (11 - 4)² = 49
Therefore 3rd column = (18 - *)² = 121, * = 7.
Answer:
7 is the missing number
Step-by-step explanation:
Let the missing number be x.
Lets study the pattern of the numbers. In each column , we find that the bottom number is the square of the difference of first 2 numbers.
In 1st column ,
Difference of first 2 numbers = 5 - 1 = 4
The bottom number = 16 = 4²
In 2nd column ,
Difference of first 2 numbers = 11 - 4 = 7
The bottom number = 49 = 7²
Similarly ,
Difference of first 2 numbers = 18 - x
The bottom number = 121
\( = > {(18 - x)}^{2} = 121\)
\( = > {(18 - x)}^{2} = {11}^{2} \)
\( = > 18 - x = 11\)
\( = > x = 18 - 11 = 7\)
what is 6(-5n + 7) simplified?
Answer:
-30n+42
Step-by-step explanation:
You have to use distributive property.
Multiply 6 with -5n which is -30n. Then, Multiply 6 with 7 which is 42. Since, 5n is negative the product is also negative, and since 7 is positive the product is positive. Therefore you will get, -30n+42.
I hope this helps!
Could I get brainliest? ✨
The simplified form of 6(-5n + 7) is -30n + 42.
To simplify the expression 6(-5n + 7), we apply the distributive property. The distributive property states that when we multiply a number outside the parentheses by an expression inside the parentheses, we must multiply it by each term inside the parentheses.
In this case, we have 6 multiplied by the expression (-5n + 7).
Multiplying 6 by -5n gives us -30n, and multiplying 6 by 7 gives us 42.
So, combining these results, we get -30n + 42.
This simplified expression, -30n + 42, cannot be further simplified because there are no like terms to combine.
Therefore, 6(-5n + 7) simplifies to -30n + 42.
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lamonte car used 5 gallons to travel 125 miles.how many gallons of gas would he need to travel 400 miles
Answer:
Step-by-step explanation:
1. Get mileage per gallon by dividing miles traveled by gallons used
\(\frac{125}{5} = 25 mpg\\\)
2. Divide miles you want to travel by the mileage per gallon you got on the first step
\(\frac{400}{25} = 16 gallons\)
What is the geometric mean of: 1, 2, 8, and 16?
Answer:
I think 8 is the geometric
Kelly asks you for advice.
X
"I need to divide a3 + 2x2 – 8x – 17 by x – 3.
Which method, long division or synthetic division, would
you suggest? Why?"
Please reply using at least two complete sentences.
Max had 1 litre of syrup. He used 1/5 litre of the syrup on Saturday and 5/6 of the remaining syrup on Sunday. How many litres of syrup did Max have left?
Answer:
2/15 litre
Step-by-step explanation:
There is 1 litre in total. Max used 1/5 litre.
1 - 1/5 = 4/5 litre
Then he used 5/6 of the remaining 4/5 litre. He would have 1/6 of 4/5 litre left.
1/6 * 4/5 = 2/15 litre
or
You could do 5/6 * 4/5 to find out how much syrup he used on Sunday and then subtract that from 4/5 litre. It will give you the same answer
Plz help its a riddle
Answer:
30
Step-by-step explanation:
the shoe=20
the person=5
the glasses=2
20+5×2
PEMDAS
5×2=10
10+20
=30
Answer:
The ans is 30
Step-by-step explanation:
the is shoe=20
the is person=5
the is glasses=2
20 shoes +5 people×2 glasses
5×2=10
10+20
=30
(hope this helps can i plz have brainlist :D hehe)
Which of these events is not mutually exclusive?
A) the chance that you will get a heads or tails when you flip a coin once.
B) the chance that you will only study for the test alone or with a friend.
C) the chance that you will meet your friends for pizza or at a chinese restaurant for dinner today at 6.
D) the chance that you will answer the ringing phone or take a walk.
The chance that you will get a heads or tails when you flip a coin once (option A) is not mutually exclusive.
Mutually exclusive events are events that cannot occur at the same time, or that do not have any overlap. In the case of flipping a coin, the possibility of getting a head and the possibility of getting tails are independent of each other, and both can occur simultaneously. Therefore, the chance that you will get heads or tails when you flip a coin once is not mutually exclusive.
On the other hand, the other events listed (B, C, and D) are mutually exclusive. The chance that you will only study for the test alone or with a friend cannot occur simultaneously, as you can either study alone or with a friend, but not both. Similarly, the chance that you will meet your friends for pizza or at a Chinese restaurant for dinner today at 6 cannot occur at the same time, as you can either go to the pizza place or the Chinese restaurant, but not both. And the chance that you will answer the ringing phone or take a walk cannot occur simultaneously, as you can either answer the phone or take a walk, but not both.
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The chance that you will get a heads or tails when you flip a coin once (option A) is not mutually exclusive.
this question is related to probability.
mutually exclusive
Mutually exclusive events are those events that do not occur at the same time.
For example, when a coin is tossed then the result will be either head or tail, but we cannot get both the results. Such events are also called disjoint events since they do not happen simultaneously.
probability
Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.
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A scuba diver dives until he is 45 ft below sea level. His friend is at -12 ft. How many feet are they away from each other?
Answer:
33
Step-by-step explanation:
45 - (-12) = 33
His friend is 33ft away from him.
In circle T with mZSTU 46 and ST = 20 units, find the length of arc
SU. Round to the nearest hundredth.
Answer:
r= 20 units
theeta= 46
L= 2πr* theeta/360
L
L = 160 units
The length of arc is 16.049 unit.
What is an Arc?An "arc" in mathematics is a straight line that connects two endpoints. An arc is typically one of a circle's parts. In essence, it is a portion of a circle's circumference. A curve contains an arc.
We have,
m <STU = 46
and ST = 20 units
So, length of Arc
= 46/ 360 2πr
= 46/360 x 2 (3.14)(20)
= 16.0488 unit
Thus, the length of Arc is 16.0488 unit.
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hey what is 159 x 26
Please I really need help on this one
Answer:
r=
\(r = \frac{d}{2} \\ r = \frac{5}{2} \\ r = 2.5cm\)
What two numbers multiply to -80 and add to -16
Therefore , the solution of the given problem of unitary method comes out to be -10 and 8 are the two numbers that sum up to -16 and multiply to -80.
What is an unitary method?This generally recognized ease, preexisting variables, and any crucial elements from the initial Diocesan customizable query may all be used to complete the task. If therefore, you might have another chance to interact with the item. Otherwise, major influences on algorithmic evidence will cease to exist.
Here,
We can use the knowledge that if two numbers x and y multiply to a constant k and add to a constant z to solve this issue by writing:
=> xy=k and x+y=z
We have k = -80 and z = -16 in this instance. Thus, we can say:
=> xy = -80
=> x + y = -16
=> (x + y)² = (x + y)² + (x + y)².
=> (x + y)² = (-16)2 = 256 x, 2 + 2xy + y, 2 = (x + y), 2 - 4xy, which equals 256 - 4(-80) = 576.
Thus, we can say:
=> x² + 2xy + y² = 576
=> \(x^{2} - 160x + y^{2} = 576\)
=>\((-10) - 160(-10) + 8^{2} = 576\)
Since x = -10 and y = 8 satisfy the equation, this is correct. Therefore, -10 and 8 are the two numbers that sum up to -16 and multiply to -80.
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A rectangular gate has a width of 3 feet and a length of 4 feet. What is the
length from the top left corner to the bottom right corner of the gate? *
1 hour 31 minutes =
minutes
Answer:
91 minutes
Step-by-step explanation:
1 hour= 60 minutes.
31 minutes + 60 minutes = 91 minutes.
If this helps please mark as brainliest
Answer:
91 minutes
Step-by-step explanation:
1 hour = 60 minutes
60 + 31 = 91 minutes
The Fraction Class Below Will Contain Two Int Buses For The Numerator And Denominator Of A Fraction. The Class Will Also Contain
The following replacements for / missing code / is the most appropriate implementation of the class:
B.
private int numerator; private int denominator; public double fractionToDecimal() { return (double) numerator / denominator; }
What is class?A class is a blueprint that defines the variables and methods that are shared by all objects of a particular type. In object-oriented software, it is also possible to have a large number of objects of the same type with similar properties: rectangles, employee records, video clips, and so on.
You can use the fact that objects of the same type are similar, as bicycle manufacturers do, to create a blueprint for those objects. A class is an object-oriented software blueprint (in the glossary). A class variable holds information that all instances of the class share.
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A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in
20.4 days
22.5 days
25.6 days
30.1 days
2. In an exponential function, f(x)= a(b)^x, it is known that f (5) = 20 and f (9) = 211. Which of the following
is closest to the value of b?
By solving a system of equations, we can see tha the value of b is 3.81
How to get the value of b?We know that we have a exponential function of the form:
f(x)= a*(b)^x
And we know that:
f(5) = 20 and f(9) = 211
Then we can write a system of equations:
20 = a*(b)^5
211 = a*(b)^9
If we take the quotient between the second equation and the first one, we get:
211/20 = (a*(b)^9)/(a*(b)^5)
211/20 = b^(9 - 5)
211 = b^4
(211)^(1/4) = b
3,81 = b
The value of b is 3.81
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Carlos mixed 3 1⁄2 cups of red paint with 4 1⁄2 cups of yellow paint to make an orange paint. How many cups of red paint and how many cups of yellow paint will Carlos need to make 12 cups of the same shade of orange paint? Solve in at least three different ways.
Answer:
The answer is " red cups is "5.25""
Step-by-step explanation:
Given:
red paint= \(3\frac{1}{2}= \frac{7}{2} =3.5\)
yellow paint= \(4\frac{1}{2}= \frac{9}{2} =4.5\)
total cups=12
i) The Ratio of red and yellow is= 3.5 : 4.5
If the red cups are= \(\frac{3.5}{8}\)
number of red cups:
\(\to \frac{3.5}{8}\times 12\\\\\to \frac{3.5}{2}\times 3\\\\\to 3.5\times 1.5\\\\\to 5.25\)
ii)
\(\to 3.5x+4.5x=12......(a)\\\\\to 8x=12\\\to x=\frac{12}{8}\\\\\to x=\frac{3}{2}\\\\\)
put the value of x in equation (a):
\(\to 3.5 \times \frac{3}{2}+4.5\times \frac{3}{2}=12\\\\\to 35 \times \frac{3}{20}+45\times \frac{3}{20}=12\\\\\to 5.25+6.75=12\)
iii)
if \(\frac{4.5}{8} \times 12= 6.75\) yellow cups used in making orange paint
so, red paint +yellow paint = total cups
let, red paint cups =x
⇒x+6.75=12
⇒x=12-6.75
⇒x=5.25
The value of red cups is 5.25.
PLEASE HELP ME ANSWER THIS QUESTION ASAP!!
Answer: 21x + 3
Step-by-step explanation:
First Distribute 3 with 7x.
3 x 7x = 21x
Then Distribute 3 with 1
3 x 1 = 3
Then add the operation:
21x + 3
Use the image to determine the direction and angle of rotation.
graph of triangle ABC in quadrant 4 and a second polygon A prime B prime C prime in quadrant 2
90° clockwise rotation
90° counterclockwise rotation
180° clockwise rotation
270° counterclockwise rotation
The angle of rotation for the described transformation is
180° clockwise rotationHow to know the angle of rotationThe movement or transformation described is form quadrant 4 to quadrant 2.
The transformation will require 180 degrees transformation.
In this type of transformation, both clockwise and the counter clockwise have similar effects
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how would someone use the cross product property on an equation with 3 different values instead of two? I provided an example image
Using the cross product for the proff of Pythagoras theorem, the correct step is
By the cross product property, AB² = BC multiplied by BD
What is cross product propertyThe cross product property is typically used to solve equations with two values, where the product of the extremes (the outer terms) is equal to the product of the means (the inner terms).
For the similar triangles, the ratio is as follows
BD / BA = BA / BC
BA² = BD * BC
and AB = BA, hence
BA² = BD * BC
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what is the remainder for the synthetic division problem? (image attached)
Answer:
D
Step-by-step explanation:
3 | 1 5 - 8 6
↓ 3 24 48
----------------------
1 8 16 54 ← Remainder
Cindy read a total of 8 books over 2 months. If Cindy has read 20 books so far, how many
months has she been with her book club? Solve using unit rates.
months
Submit
3
How do you solve:
3/4(5+8y)
Answer:
15/4 +6y
Step-by-step explanation:
See Image below:)
iii). Sheridan's sleep tracker indicates that she was in REM sleep for 24% of the time last night. Sheridan was in REM sleep for 120 minutes. How many minutes did Sheridan sleep last night? 500 minutes
Answer:
500 minutesStep-by-step explanation:
Assume you need solution as you have the answer
The full time is x 24% of x is 120 minutesFind x:
x*24/100 = 120x *0.24 = 120x = 120/0.24x = 500Add 3/4 + (−2 1/2) using the number line.
Select the location on the number line to plot the sum.
Answer:
Heyyy!!!!
Alrighty... here it goes....
Step-by-step explanation:
3/4 + (-2 1/2)
okay... the first thing you have to do is convert 1/2 into fourths. that'll make it way easier to solve..... like way easier.....
then rewrite the expression to get 3/4 + (-2 2/4)
now we know that + - = -
basically you subtract since adding a negative makes you subtract...
3/4 - 2 2/4 gives you - 1 3/4
all you have to do is plot that on the number line and you should be good to go