Step-by-step explanation:
If we convert
[tex]r = - 10 \cos(x) [/tex]
to a Cartesian equation,
[tex] {r}^{2} = - 10 r \: \cos(x) [/tex]
[tex] {x}^{2} + {y}^{2} = - 10x[/tex]
[tex] {x}^{2} + 10x + {y}^{2} = 0[/tex]
[tex] {x}^{2} + 10x + 25 + {y}^{2} = 25[/tex]
[tex](x + 5) {}^{2} + {y}^{2} = 25[/tex]
So we have a circle with center (-5,0), with a diameter of 10.
The total cost of attending a state university is $19,700 for the first year.
A student’s grandparents will pay half of this cost.
An athletic scholarship will pay another $5,000.
Which amount is closest to the minimum that the student will need to save every month in order to pay off the remaining cost at the end of 12 months?
A.$404.17
Answer:
$404.17
Step-by-step explanation:
(19700 - 19700/2 -5000) / 12 =
(I need help rn pls )
Mr. Posada graphed the function that relates the cost of an overnight trip to the number of children attending as shown below.
Use the words increasing or decreasing and linear or nonlinear to describe the graph explain ur answer
Answer:
The graph is decreasing in a non linear form, this is shown because from the 0 value to the 12 value on the x axis the y value decreases from 4000 to less than 400( graph going downwards) and its non linear because the graph does not form a straight line
What can you conclude from her work? check all that apply. the function is continuous. time represents the dependent variable. the scenario is represented by a linear function, since the rate of change is constant. as the amount of time continues, there are fewer cups of juice poured per hour. for every additional hour, 53 cups of juice are poured.
Based on Rachel's work, we can deduce and conclude on the following: options A, C and E.
The rate of change of time per juice.Based on Rachel's work shown in the image attached below, we can deduce and conclude on the following:
The function is continuous because for every hour given, there is always a value for the cups of juice. Thus, its graph would be linear and have a straight line.
Also, the scenario is represented by a linear function because the rate of change is constant. Lastly, for every additional hour, 53 cups of juice are poured.
In conclusion, time represents the independent variable while number of cup of juice is an independent variable.
Read more on functions here: https://brainly.com/question/4246058
hi ..................................................
Answer:
Hi
Step-by-step explanation:
What’s the percentile rank of a score of 64?
Answer: 64%
Step-by-step explanation:
The score you have entered means that the individual who took the test is at the sixty-fourth percentile – their percentile rank is 64%. This means that the student had a test score greater than or equal to 64% of the reference population. Conversely, 36% of students scored equal to or higher than the individual tested.
On a coordinate plane, 2 lines are shown. The first dashed straight line has a positive slope and goes through (negative 1, 0) and (0, 2). Everything to the right of the line is shaded. The second solid straight line has a positive slope and goes through (0, negative 1) and (1, 1). Everything to the left of the line is shaded.
Which equation represents an inequality in the system of inequalities shown in the graph?
Which point is a solution to the system?
#1
(-1,0)(0,2)Slope:-
m=2/0+1=2/1=2Equation in point slope form
y=2(x+1)y=2x+2Shading done to right means towards origin
2(0)+2=2>0So
shading is towards origin
The inequality is
y<2x+2Dashed line given so we remain it <
#2
(0,-1)(1,1)Slope:-
m=1+1/1=2Equation in point slope form
y+1=2xy=2x-1Put (0,0)
2(0)-1=-1<0The inequality is(solid line given)
y≥2x-1Graph attached
Answer:
c and b was right for me
Step-by-step explanation:
How many digits are there to the right of the decimal point if you write this number in standard form? How do you know? 5 x 10-4 + 6 x 10-7 + 5 x 10-9 + 9 ~ 10-11 + 4 10-13
please help with my math work !
due tomorrow morning
Answer:
[tex]y=2x+6[/tex]
Hope This Helps! :)
Find the DIAMETER of a circle for the circumference given.
circumference = 81 km
A) 4 km B) 10 km
C) 12 km D) 8 km
Answer:
25.796... km
Step-by-step explanation:
We are given that:
Circumference: 81 kmFormula of circumference:
2πr or πdThus, we can rewrite the circumference as:
2πr = πd = 81 kmSince we are asked to determine the diameter, it is recommended to use the formula (πd). Therefore,
πd = 81 kmDivide π both sides to isolate the diameter:
⇒ πd/π = 81 km/π ⇒ d = 81 km/πSubstitute π as 3.14 and simplify:
⇒ d = 81 km/3.14 ⇒ d = 25.796... kmTherefore, the diameter of the circle is 25.796... km.
How many pounds are in 4 tons
Answer:
8000 pounds are in 4 tons
Step-by-step explanation:
hope it helps loves x :))
Answer:
8000 Pounds
Step-by-step explanation:
There are 8,000 pounds in 4 tons.
1 ton = 2,000 pounds.
Therefore, you multiply 4 x 2,000. Your answer is 8,000 pounds.
find the area of the square rug if its side is (3x+5) feet
Answer: 9X² + 30X + 225
Step-by-step explanation: Are if a square is the square of the length of a side
(3X + 5)² = ( 3X + 5)(3X + 5)
= 9X² +15X + 15X + 25
= 9X² + 30X + 25
Find the area of each shaded region.
Answer:
Step-by-step explanation:
Find the SURFACE AREA of the shape below. Do NOT label your answer! *
Answer:
The surface area of the triangular prism is 142.919 m^2.
Step-by-step explanation:
just answer this quistion
Answer:
5
Step-by-step explanation:
ty
]
A piece of string is 120 centimeters long.
How long would the piece of string Measure in meters?
Picture:
Answer:
1.2 m
Step-by-step explanation:
1 meter = 100 cm
120-100(1m)=20
.2 meters would be 20 cm if we're going by 1 m = 100cm.
We already have 1 meter from 100 cm and then we add the .2 meters to the 1 meter. 1+.2= 1.2 m
Answer:
1.2
Hope this helped!
Which expression represents the phrase below?
8 less than the product of 6 and a number, x
A. 8 - 6x
B.6x-8
C.(6+x)-8
D.8-(6+x)
Answer:
B
Step-by-step explanation:
The number is x and you want 6 of that, so that makes 6x
You want 8 less of this, so subtract 8
Therefore you get 6x - 8
Answer:
B
Step-by-step explanation:
8 less than the product of 6 and x gives the expression 6x-8.
Which angle is coterminal with 140°?
Answer:
A
Step-by-step explanation:
Every 360 degrees (full circle) that you add or subtract from 140 is coterminal
140 + 360 = 500
From her eye, which stands 1.66 meters above the ground, Deondra measures the
angle of elevation to the top of a prominent skyscraper to be 70°. If she is standing at
a horizontal distance of 276 meters from the base of the skyscraper, what is the
height of the skyscraper? Round your answer to the nearest tenth of a meter if
necessary.
Answer:
760 m
Step-by-step explanation:
You can draw a right triangle.
For the angle of 70°, 276 m is the adjacent side.
The heigh of the building above 1.66 m is the opposite side.
tan x = opp/adj
tan 70° = h/276
h = tan 70° × 276
h = 758.3
h is the height above 1.66 m.
height = 758.3 m + 1.66 m = 759.96 m
Answer: 760 m
Consider the nuclear equation below. superscript 239 subscript 94 upper p u right arrow variable x plus superscript 4 subscript 2 upper h e. what is x? superscript 235 subscript 96 upper c m. superscript 243 subscript 92 upper u. superscript 235 subscript 92 upper u. superscript 243 subscript 96 upper c m.
Based on the calculations, the chemical element (X) in this nuclear equation is equal to ²³⁵U₉₂.
What is an alpha decay?An alpha decay refers to a type of nuclear reaction in which the atomic nucleus of a radioactive element emits an alpha particle (atom of helium), thereby, producing chemical elements with a different atomic nucleus.
In this exercise, we are given the following nuclear equation with an alpha decay:
²³⁹Pu₉₄ -----> X + ⁴He₂
For the superscript, we have:
239 - 4 = 235.
For the subscript, we have:
94 - 2 = 92.
Therefore, the chemical element (X) is equal to ²³⁵U₉₂.
Read more on alpha decay here: https://brainly.com/question/23303931
Answer:
its c
Step-by-step explanation:
trust
please help asap tysm <333
Answer:
32 yards and 64 feet
Step-by-step explanation:
just multiply them by 32
keep answering my questions for lots of points answer and you can win brainlist
[tex]5 \frac{1}{4} + 1 \frac{3}{8} [/tex]
Lets solve it
[tex]5 \frac{1}{4} + 1 \frac{3}{8} [/tex]
[tex] \frac{21}{4} + \frac{11}{8} [/tex]
Taking the LCM of both denominator which is 8
[tex] \frac{42 + 11}{8} [/tex]
[tex] \frac{53}{8} [/tex]
Hey ! there
Answer:
[tex] \bold{ 6 \dfrac{5}{8} } \sf{\: is \: the \: answer}[/tex]Step-by-step explanation:
In this question we are given with two whole fraction . And we are asked to simplify them by adding .
Solution : -
Step 1 : Converting the fractions into improper fraction :
[tex]\dashrightarrow \: \qquad \: \dfrac{21}{4} + \dfrac{11}{8} [/tex]
Step 2 : We know that L.C.M of 4 and 8 is 8. So,
[tex]\dashrightarrow \: \qquad \: \dfrac{42 + 11}{8} [/tex]
Step 3 : Adding 42and 11 :
[tex]\dashrightarrow \: \qquad \: \dfrac{53}{8} [/tex]
Step 4 : Converting it in form of whole fraction :
[tex]\dashrightarrow \: \qquad \blue{\underline{\boxed{\frak{ \:6 \dfrac{5}{8} }}}} \quad\bigstar[/tex]
Therefore , 6 whole 5/8 is the correct answer .#Keep LearningThe average attendance at school for 5 days was 264. If the attendance on the 5th day was 256, calculate the average attendance for the first 4 day’s
Answer:
266
Step-by-step explanation:
Let the attendence of 5days be a,b,c,d,e
given,
(a+b+c+d+e)/5=264
a+b+c+d+256=264*5 [since 5th day=256]
(a+b+c+d+)/4=1(320-256)/4 [dividing both side by 4]
average attendence of 4 days =266
A company uses 1/4 of a barrel of chocolate chips to make each batch of granola bars. In one day, the company uses 3 1/2 barrels of chocolate chips to make granola bars. How many batches of granola bars did the company make in the day? Can anyone show me the method.
Answer:
14 times.
Step-by-step explanation:
It is how many times 1/4 go in 3 1/2.
3 1/2 as an improper fraction is 7/2.
To make them have the same denominator, we have to change 7/2.
7 x 2 = 14
2 x 2 = 4
So, how many times does 1/4 go in 14/4?
14 times.
Start off from 2 to 5
Answer:
2) 1/6 : split in half horizontally and into thirds like a fence (vertically)
3) 1/2 : draw a line of symmetry down the middle
4) 1/2 : draw a line of symmetry down the middle
5) 1/6 : slice it like a pizza <3
simplify 1/6^3 divided by 1/36
Answer:
1/6
Step-by-step explanation:
To simplify the expression:
1. Change the divisor into it's reciprocal
2. Change the sign into a multiplication sign.
3. Evaluate the product of those fractions.
4. Simplify the fraction. (If possible)
Given expression:
[tex]\dfrac{1}{6^3 } \div \dfrac{1}{36}[/tex]
According to step 1, we need to convert the divisor of the expression into it's reciprocal.
[tex]\dfrac{1}{6^3 } \div \dfrac{36}{1}[/tex]
According to step 2, we need to change the division sign (÷) into a multiplication sign (×).
[tex]\implies \dfrac{1}{6^3 } \times \dfrac{36}{1}[/tex]
According to step 3, we need to determine the product of these fractions. This can be done by evaluating the exponent.
[tex]\implies \dfrac{1}{(6)(6)(6) } \times \dfrac{36}{1}[/tex]
[tex]\implies \dfrac{1}{216 } \times \dfrac{36}{1}[/tex]
Multiply the fractions as needed. [a/b × c/d = (a × c)/(b × d) = (ac)/(bd):
[tex]\implies \dfrac{36}{216 }[/tex]
According to step 4, (If possible), Simplify the product of 1/216 and 36. In this case, the product of 1/216 and 36 is 36/216. Since both are divisible by 6, we can divide the numerator and the denominator by 6 to simplify the fraction.
[tex]\implies \dfrac{36 \div 6}{216 \div 6 }[/tex]
[tex]\implies \dfrac{1}{6 }[/tex]
Therefore, the quotient of 1/6^3 and 1/36 is 1/6.
Learn more about this topic: https://brainly.com/question/22322495
Answer:
[tex]\large\textsf{$\dfrac{1}{6}$}[/tex]
Step-by-step explanation:
[tex]\large\textsf{$\dfrac{1}{6^3} \div \dfrac{1}{36}$} \implies \normalsize \textsf{Convert 36 into a base with an exponent}[/tex]
[tex]\large\textsf{$\dfrac{1}{6^3} \div \dfrac{1}{6^2}$} \implies \normalsize \textsf{Cross multiply}[/tex]
[tex]\large\textsf{$\dfrac{1 \cdot 6^2}{1 \cdot 6^3}$} \implies \normalsize \textsf{Multiply}[/tex]
[tex]\large\textsf{$\dfrac{6^2}{6^3}$}\implies \normalsize \textsf{Simplify using the Quotient of Powers Property: \normalsize\textsf{$\dfrac{x^m}{x^n} = x^{m-n}$}}[/tex]
[tex]\large\textsf6^{2-3}[/tex]
[tex]\large\textsf6^{-1} \implies \normalsize \textsf{Simplify using the Negative Exponent Property: \normalsize\textsf {${x^{-m}} = \dfrac{1}{x^m}$}}[/tex]
[tex]\large\textsf{$\dfrac{1}{6^1}$} \implies \normalsize \textsf{Simplify}[/tex]
[tex]\large\textsf{$\dfrac{1}{6}$} \implies \normalsize \textsf{Final answer}[/tex]
Hope this helps!
What is the total number of unique triangles that can be formed with side lengths of 6.5 centimeters, 6 centimeters, and 2.5 centimeters?
Enter your answer in the answer box below.
The unique triangles that can be formed with side lengths of 6.5 centimeters, 6 centimeters, and 2.5 centimeters is[tex]9.[/tex]
What is triangle?A triangle can be referred to as a polygon with three edges and three vertices.
we can arrange length of one side of a unique triangle in 3 different ways.
Let x,y,z be the length of the three sides.
For triangles to be unique, length of one side can be arranged in 3 different ways.
Then, length of 6.5 cm can be at maximum three positions which is x,y,z.
The 2.5 cm lenght can appear to be at maximum three positions which is x,y,z.This can as well be done for 6cm.
Therefore, total ways of making unique triangles[tex]= (3 + 3+ 3)= 9[/tex]
Learn more about unique triangle at;
https://brainly.com/question/23180570
Answer:
1
Step-by-step explanation:
Given:
What is the total number of unique triangles that can be formed with side lengths of 6.5 centimeters, 6 centimeters, and 2.5 centimeters?
Solve:
Define:
What is a unique triangle?
Only one way to create triangle.
Are congruent which means same.
As you may know the word "Unique"
which means : original and unique designs
So without even solving we can see that there is only "One" way .
Kavinsky
Problem 2 Six different jobs need to be done today at the restaurant where you work. You have a pool of nine available workers. If you can assign only one worker to each job and no more than one job to a worker, how many different worker/job assignments are possible
========================================================
Explanation:
The order matters because the jobs are different. This means we'll use a permutation.
We have n = 9 workers to pick from and r = 6 jobs to fill.
Plug those values into the nPr permutation formula.
[tex]n P r = \frac{n!}{ (n-r)! }\\\\9 P 6 = \frac{9!}{ (9-6)! }\\\\9 P 6 = \frac{9!}{ 3! }\\\\9 P 6 = \frac{9*8*7*6*5*4*3*2*1}{ 3*2*1 }\\\\9 P 6 = 9*8*7*6*5*4 \ \ \text{.... Note: The 3*2*1 cancels}\\\\9 P 6 = 60480\\\\[/tex]
There are 60480 ways to assign the 9 workers to the 6 different jobs where order matters.
----------------------
Another approach:
Label the 6 jobs as A,B,C,D,E,F
For job A, we have 9 workers to pick from.
For job B, we have 8 workers to pick from. This is because it states that there is "no more than one job to a worker".
For job C, we have 7 workers to pick from. And so on. We have this countdown going on. We stop once we reach job F.
We end up with 9*8*7*6*5*4 = 60480 different permutations
The string "9*8*7*6*5*4" is found in the second to last step of the section above.
Find the value of x. Round to the nearest tenth
Answer:
x is approximately 13.7
Step-by-step explanation:
tan(58°) = 22/x
x tan(58°) = 22
x = 13.7
4 6 24 , 5 3 15, 2 3 6 ,4 2 8 what pattern do u see
Esti belongs to a track team. She runs 85 yards at each of the team's 11 practices. How far does Esti run in the 11 practices?
Answer:
935 yards
Step-by-step explanation:
If she runs 85 yards at each practice you would multiply it by the amount of practices. So 85x11