Answers
r = 2 - 2sin(θ)
Related Questions
Explain what is a Fungi?
Answers
Which of the following is equal to the rational expression when x ≠ 5 or -1?
[tex] \frac{(x-7)(x+1)}{(x+1)(x-5)} [/tex]
a. [tex] \frac{x+1}{x-7} [/tex]
b. [tex] \frac{x+1}{x-5} [/tex]
c. [tex] \frac{x-7}{x+1} [/tex]
d. [tex] \frac{x-7}{x-5} [/tex]
Answers
Answer:
[tex]\frac{(x-7)}{(x-5)}[/tex]
option D is correct
Step-by-step explanation:
[tex]\frac{(x-7)(x+1)}{(x+1)(x-5)}[/tex]
In an rational expression , if we have same factors at the top and bottom then we cancel it out
In our given rational expression we have x+1 at the top and bottom
so we cancel out x+1
After cancelling out x+1, we are left with
[tex]\frac{(x-7)}{(x-5)}[/tex]
option D is correct
Let P(2, 3) be a point on a figure. The figure is dilated by a scale factor of 4.
What are the coordinates of P′?
Write the ordered pair.
Answers
If (2,3) is a point and 4 is the scale factor, we need to multiply both x and y by 4 to dilate the figure. Doing this gives us (8,12).
Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
The month of the year is December. What is the type of data is December?
discrete data
categorical data
continuous data
Answers
Data that is collected can be either categorical or numerical data.Categorical variables represent types of data which may be divided into groups.
December is the twelfth and last month of the year .The word December is a categorical discrete data which is also known as qualitative, because it is a name instead of a number.Among the options given December is a month of a year.
The month of the year is December is a categorical data .
look across each row and down each column what pattern do you see
Answers
A person who needs a car for a few weeks while visiting family out of state would most likely choose which of the following?
Answers
A person needing a car for a few weeks while visiting family out of state would most likely choose A. Car rental for its short-term flexibility and convenience.
Car rental is the ideal choice for short-term car needs while visiting family out of state.
It offers flexibility in terms of duration, allowing individuals to rent vehicles for specific periods, such as a few weeks, without the commitment of ownership or long-term contracts.
With a wide range of vehicle options and rental locations available, car rental services provide convenience and accessibility.
Additionally, rental agreements typically include insurance coverage and roadside assistance, offering peace of mind to travelers during their stay.
Overall, car rental meets the temporary transportation needs of visitors efficiently and effectively.
Complete Question:
A person needing a car for a few weeks while visiting family out of state would most likely choose which of the following?
A. Car rental
B. Car share
C. Carpool
D. Car lease
The average July rainfall for charleston , south carolina, is 8.35 inches The average October rainfall is 3.87 inches on the average how many more inches of rain fell in july than in october?
Answers
the ratio of cats to dogs is 3 to 5. If there are 45 dogs, how many cats are there?
Answers
Mrs.Klein uses 12 cucumbers to make 3 jars of pickles. At this rate, how many cucumbers will she need to make 10 jars of pickles?
Answers
Answer:
40
Step-by-step explanation:
So she has 12 cucumbers to make 3 jars of pickles.
She uses 4 cucumbers to make each jar. (Based on the equation 12➗3 =4)
Shawtyyyy better be using those pickles on burgers and not eating it raw.
So she has 10 jars right? Right, and you know she used 4 pickles per jar, so
we can get the answer by the equation of 10 x 4 = 40
Have a great day shawtayyyyyy!
Find a function that models the population after t years
Answers
[tex]f(0) = 270000\\
f(1) = 1.04f(0), \\
f(2) = 1.04f(1) = 1.04(1.04f(0)), \\
f(t) = 1.04f(t-1) = 1.04(1.04f(t-2)) ... = 1.04^{t}f(0) = 1.04^{t}*270000 [/tex]
b) [tex]f(2004-1998) = 1.04^{2004-1998} * 270000 = 341636[/tex]
c)
[tex]1.04^{x-1998} * 270000 \geq 534094 \\ x - 1998 \geq {ln( \frac{534094}{270000} )}/{ln(1.04)} x \geq 2015.4 x = 2016[/tex]
What is the range of the function (e^x)/(e^x)+c? Assume that c is a constant greater than zero.
Answers
1. if to re-write the given function as:
[tex]y= \frac{e^x}{e^x+C}; \ \ \textless \ =\ \textgreater \ \ y=1- \frac{C}{e^x+C};[/tex]
then it is possible to define its range:
2)
[tex] \lim_{x \to+ \infty}[1- \frac{C}{e^x+C}]=1; \\ \lim_{x \to- \infty}[1- \frac{C}{e^x+C}]=0[/tex]
answer: (0;1)
The range of the function (eˣ)/(eˣ+c) is the closed interval [0,1].
Explanation:The range of the function f(x) = (eˣ)/(eˣ+c) can be determined by analyzing the behavior of the function as x approaches positive and negative infinity. When x tends to positive infinity, the term eˣ grows much faster than c, so the denominator approaches infinity. Therefore, the function approaches 1 as x tends to infinity.
Similarly, when x tends to negative infinity, the term eˣ approaches 0 much faster than c, so the denominator becomes negligible. As a result, the function approaches 0 when x tends to negative infinity.
Since the function approaches 0 at negative infinity and approaches 1 at positive infinity, the range of the function is the closed interval [0,1].
Which of the following is equivalent to -6
A) 9-(-17)
B) 3*(-2)*(-1)
C) -2(4-1)
D) 4-16/-2
Answers
-2(4-1)
Distributing: (-8 +2) = -6
-2(4-1) put in a calculator that’s your answer
Triangle ABC has angles measuring 137°, 15°, and 28°. Classify the triangle by its angle measures.
Answers
In how many ways can we seat 6 people around a round table if Fred and Gwen insist on sitting opposite each other? (Two seatings are considered equivalent if one is a rotation of the other.)
Answers
kevin had 13 coins in his pocket. all of his coins are either dimes or quarters. when he emptied his pocket, kevin found that he had 2.05. how many dimes and quarters does he have?
Answers
10x8=80
25x5=125
125+80=205
Below is the table of values of a function. Write the output when the input is
n
input 1 4 9 n
output 5 8 13 ?
What is the last output ?
Answers
Input: 1 4 9 9 + 7
Output: 1+4 4+4 9+4 9+7+4
Output: 5 8 13 20
Last output is 20
Answer:
n + 4
Or 20
Step-by-step explanation:
Depends on how you see it the answer could be n´+4 since that´s how the function is working, and almost all of the time the independent clauses are actually independent and do not follow any progression.
But if there is a progression in the input, we can see that they are adding up uneven numbers to the input, so first we added 3, then we added 5, and last we should add 7: so the input would be 7+9= 16, the input in the forth spot should be 17, and the output should be 20.
What is the similarity ratio of the smaller to the larger similar cones? Enter your answer as a:b
Answers
To find similarity ratio a:b
We take the sides and make a proportion
[tex]\frac{height \ of \ smaller \ cone}{height \ of \ larger \ cone} = \frac{radius \ of \ smaller \ cone}{radius \ of \ larger \ cone}[/tex]
[tex]\frac{9}{15} = \frac{6}{10}[/tex]
[tex]\frac{3}{5} = \frac{3}{5}[/tex]
So the ratio a:b is 3:5
In an isosceles trapezoid the length of a diagonal is 25 cm and the length of an altitude is 15 cm. Find the area of the trapezoid.
Answers
area=median*height=20cm*15cm
=300cm^2
Answer:
300
Step-by-step explanation:
a strip of wood 78 inches long is to be cut into pieces of 3 and 3/4 inches long how many pieces can be cut
Answers
let's firstly convert the mixed fraction to "improper", and then divide,
[tex]\bf \stackrel{mixed}{3\frac{3}{4}}\implies \cfrac{3\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{15}{4}}\\\\ -------------------------------\\\\ \cfrac{\quad 78 \quad }{\frac{15}{4}}\implies \cfrac{\quad \frac{78}{1} \quad }{\frac{15}{4}}\implies \cfrac{78}{1}\cdot \cfrac{4}{15}\implies \cfrac{26}{1}\cdot \cfrac{4}{5}\implies \cfrac{104}{5}\implies 20\frac{4}{5}[/tex]
so, if we nevermind the 4/5 part, only 20 whole of those then.
If it takes eight men ten hours to build a wall, how long would it take four men?
Answers
Answer:
Step-by-step explanation:
No time because the wall is already built
3 - 2x = 9 - 8x
x = ?
Answers
3-2 = 1x
9-8 = 1x
1x = 1x
Hope this Helps!!
Find the probability of each outcome if you randomly choose a letter in the worrd probability
Answers
p = 1/11
r = 1/11
o = 1/11
b=2/11
a = 1/11
i = 2/11
l = 1/11
t = 1/11
y = 1/11
Justin collected data from his classmates on the type of condiment they prefer on their sandwich. Based on the data collected, if one hundred boys and one hundred girls are given a sandwich of their choice which statement is true?
9)
Boy Girl
Mayonnaise 12 14
Mustard 18 13
Plain 5 15
Answers
Answer:
The answer is C
Step-by-step explanation:
Boy likes mayonnaise:
12
(12 + 18 + 5)
=
12 /35
= 0.3429 ≈ 34%
Girl likes mayonnaise:
14
(14 + 13 + 15)
=
14 /42
= 0.3333 ≈ 33%
thus,
boys (34 of 100) > girls (33 of 100)
what is the poorest country in the world
Answers
Its economic basically is dependent on diamonds export, the most of the diamonds is soled on the 'black' market, which allow to pass the taxes of government...
The poorest countries in the world are primarily in Africa and Asia, according to the World Bank's 2020 report. These countries struggle with governance issues, economic struggles, conflict, and other socio-economic problems, inhibiting their growth. The Democratic Republic of Congo, despite its wealth in resources, significantly exemplifies this due to political instability.
Explanation:According to the World Bank rankings, many of the poorest countries globally share common traits such as governance failures, economic struggles, and conflicts. These factors, among others, inhibit economic growth and improvement across sectors such as healthcare, education, and infrastructure.
As detailed in the World Bank's 2020 report, the ten lowest income countries include nations primarily located in Africa and Asia. Due to various socioeconomic issues, these countries have low gross national income (GNI) per capita, with notable examples including Afghanistan, Ethiopia, and Zimbabwe.
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in the linear equation, y = 7x - 15, the y- intercept of the line is
Answers
What is the area of triangle LMN
Answers
Area of the triangle = 1/2 x 4 x 6 = 12 square units
Answer: 12 square units
Answer:
A. 12 square units.
Step-by-step explanation:
We have been given graph of a triangle and we are asked to find the area of our given triangle.
Since we know that area of a triangle is half the product of height of triangle and base of the triangle.
[tex]\text{Area of triangle}=\frac{1}{2}*\text{Base*Height}[/tex]
We can see that MN is base of our triangle and LM is height of triangle, so let us find lengths of MN and LM using distance formula.
[tex]\text{Distance}=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]\text{Distance between point M and N}=\sqrt{(3--1)^2+(-4--4)^2}[/tex]
[tex]\text{Distance between point M and N}=\sqrt{(3+1)^2+(-4+4)^2}[/tex]
[tex]\text{Distance between point M and N}=\sqrt{(4)^2+(0)^2}[/tex]
[tex]\text{Distance between point M and N}=4[/tex]
[tex]\text{Distance between point L and M}=\sqrt{(-1--1)^2+(-4-2)^2}[/tex]
[tex]\text{Distance between point L and M}=\sqrt{(-1+1)^2+(-6)^2}[/tex]
[tex]\text{Distance between point L and M}=\sqrt{0+36}[/tex]
[tex]\text{Distance between point L and M}=6[/tex]
Now let us substitute our side lengths is area formula.
[tex]\text{Area of triangle LMN}=\frac{1}{2}*4*6[/tex]
[tex]\text{Area of triangle LMN}=2*6[/tex]
[tex]\text{Area of triangle LMN}=12[/tex]
Therefore, area of triangle LMN is 12 square units and option A is the correct choice.
Simplify the given polynomial expressions, and determine the degree and number of terms in each expression.
Answers
[tex]6 { x}^{3} - 10 {x}^{2} + 4x[/tex]
Degree: 3
Terms:3
2)
[tex] - {x}^{5} - 3 {x}^{4} + 12 {x}^{3} - 6[/tex]
degree:5
terms:4
3) 9x^4-9
degree:4
terms:2
Degree and number of terms in each polynomial expression are as follow,
[tex]6x^{3} -10x^{2} +4x[/tex] degree : [tex]3[/tex] and Number of terms : [tex]3[/tex][tex]-x^{5} -3x^{4} +12x^{3} -6[/tex] degree : [tex]5[/tex] and Number of terms : [tex]4[/tex][tex]9x^{4} -9[/tex] degree : [tex]4[/tex] and Number of terms : [tex]2[/tex]What is expression?" Expression is defined as the relation between two or more variables or numbers are represented using mathematical operation."
According to the question,
Given polynomial expression,
[tex]4x + 2x^{2} ( 3x-5)[/tex]Simplify the given expression we get,
[tex]4x + 6x^{3} -10x^{2}\\\\= 6x^{3} -10x^{2} +4x[/tex]
Degree of the polynomial expression : [tex]3[/tex]
Number of terms : [tex]3[/tex]
2. [tex](-3x^{4} +5x^{3} -12) + (7x^{3} -x^{5} +6)[/tex]
Simplify the given expression we get,
[tex]-3x^{4} +12x^{3} -6 -x^{5} \\\\= -x^{5} -3x^{4} +12x^{3} -6[/tex]
Degree of the polynomial expression : [tex]5[/tex]
Number of terms : [tex]4[/tex]
3. [tex](3x^{2} -3)(3x^{2} +3)[/tex]
Simplify the given expression we get,
[tex]9x^{4} -9[/tex]
Degree of the polynomial expression : [tex]4[/tex]
Number of terms : [tex]2[/tex]
Hence, degree and number of terms in each polynomial expression are as follow,
[tex]6x^{3} -10x^{2} +4x[/tex] degree : [tex]3[/tex] and Number of terms : [tex]3[/tex][tex]-x^{5} -3x^{4} +12x^{3} -6[/tex] degree : [tex]5[/tex] and Number of terms : [tex]4[/tex][tex]9x^{4} -9[/tex] degree : [tex]4[/tex] and Number of terms : [tex]2[/tex]Learn more about expression here
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the equation d=1/2n (n-3) gives the number of diagonals D for polygon with n sides. use this equation to find the number of sides n for a polygon that has 65 diagonals
Answers
1. You have that:
- The equation d=1/2(n(n-3)) gives the number of diagonals for the polygon.
- The polygon that has 65 diagonals..
2. When you clear n, you obtain:
d=n(n-3)/2
d=(n^2-3n)/2
2x65=n^2-3n
n^2-3n-130=0
3. When you solve the quadratic equation, you obtain:
n=13
Therefore, the answer is: 13 sides.
Answer: 13
Step-by-step explanation:
Given : The equation [tex]d=\dfrac{1}{2}n(n-3)[/tex] gives the number of diagonals d for polygon with n sides.
To find the number of sides n for a polygon that has 65 diagonals, we substitute the value of d= 65 in the given equation, we get
[tex]65=\dfrac{1}{2}n(n-3)[/tex]
Multiply 2 on both sides , we get
[tex]n(n-3)=130\\\\\Rightarrow\ n^2-3n-130=0\\\\\Rightarrow\ n^2-13n+10n-130=0\\\\\Rightarrow\ n(n-13)+10(n-13)=0\\\\\Rightarrow\ (n-13)(n+10)=0\\\\\Rightarrow\ n= -10\ or\ n= 13[/tex]
But number of sides cannot be negative, so the number of sides n for a polygon that has 65 diagonals = 13
Mara ran 3km north ad then 4km east. she will finish her run by running directly home. What is the total distance of her run
Answers
By the Pythagorean Theorme, the hypotenuse squared is equal to the sum of the sides squared...
d^2=3^2+4^2
d^2=9+16
d^2=25
d=√25
d=5
So the total distance of her run is 5+4+3=12 km
[tex] {3}^{2} + {4 }^{2} = {c}^{2} [/tex]
9+16=25, and the square root of 25 is 5. This is your answer.
A shop sells 200 chocolate vanilla and strawberry ice creams 45% of the ice cream sold are vanilla and 30% are strawberry how many chocolate ice creams are sold
Answers
(1) Chocolate
(2) Vanilla
(3) Strawberry
There are three types of flavors.
45% of the ice creams are vanilla
30% of the ice creams are strawberry
x percent of the ice creams are chocolate
The total amount of ice creams is 200 that corresponds to 100%. Therefore:
45% + 30% + x = 100%
Solving for x:
x = 25%
Then the number of chocolate ice creams are:
[tex]25\%(200) = 50 [/tex]
Finally:
50 chocolate ice creams are sold
Final answer:
The answer explains how to calculate the number of chocolate ice creams sold in a situation where vanilla and strawberry ice creams are already accounted for.
Explanation:
The total number of ice creams sold is 200.
45% are vanilla ice creams. 45% of 200 is 90.
30% are strawberry ice creams. 30% of 200 is 60.
To find the number of chocolate ice creams sold:
Chocolate ice creams = Total ice creams - (Vanilla ice creams + Strawberry ice creams)
Chocolate ice creams = 200 - (90 + 60)
Chocolate ice creams = 200 - 150 = 50
Therefore, 50 chocolate ice creams are sold.