Write a linear equation to represent the sequence 3, 7, 11, 15, ....
show how you got ur answer so I can see if it Makes sense!
Answers
Answer:
Linear equation : 4n - 1
Step-by-step explanation:
4 x (1) - 1 = 3
4 x ( 2) - 1 = 7
4 x (3) - 1 = 11
4 x (4 ) - 1 = 15
And so on
Related Questions
A sector of a circle has a central angle of 150 ∘ . Find the area of the sector if the radius of the circle is 6 cm.
Answers
Answer:
[tex]A = 15\pi[/tex]
Step-by-step explanation:
1. 150 degrees is 5/12 of a circle
2. Find area but divide by 5/12:
[tex]A = \frac{5}{12} \pi (6)^2[/tex]
3. Solve
[tex]A = \frac{5}{12} \pi (36)[/tex]
4. Simplify
[tex]A = 15\pi[/tex]
pleasee helpp asapp!!!
Answers
Help please! Thank you
Answers
Answer:
A I might be wrong do
Step-by-step explanation:
Thirty-five students passed the test. If that’s 70% of the class how many students is in the class?
Answers
Answer:
50
Step-by-step explanation:
fr the question,
35 students----------------70%
x students-------------------100%
cross multiplying
x ×70 = 35×100
dividing bothsides by 70
x = 3500/70
x=50 students
therefore,
there are 50 students in the class
Nurse jackson examines immunization records for this past winter at the
school where she works.
got flu didn't get flu total
vaccinated
25
150
175
not vaccinated 60
65
125
total
85
215
300
how many students were not vaccinated and did not get the flu?
a. 65
b. 60
c. 150
d. 125
Answers
Answer:
a
Step-by-step explanation:
Answer:
A. 65
Step-by-step explanation:
Have a blessed day :)
Find the length of the hypotenuse
Answers
a = height , b= base ,c = hypotenuse
a^2 + b ^2 = c ^2 ( theorem of Pythagoras)
(12cm)^2+ (5cm)^2 = hypotenuse
144cm^2 + 25 cm ^3 = hypotenuse
169cm^2 = hypotenuse
Square toot of 169cm ^2 = hypotenuse
Answer : 13 cm = hypotenuse
Select the correct answer.
Which statement describes a relationship between these equations?
equation 1: y= 3x - 7
equation 2: y=-4x-7
O A.
The equations have the same y-intercept.
B.
The equations have the same slope.
OC.
Each equation represents a line that decreases from left to right.
OD.
Each equation represents a line that increases from left to right.
Answers
Answer:
A. Yes they do. Both equations have their opposing set of y-intercept. Where equation one has a y-intercept of +7, and equation two, +7.
B. No they do not. Equation one has a slope of +3, while equation 2 has a slope of -4.
C. Yes they do. Equation one represents that of a positive increasing graph, while equation two the opposite, decreasing.
Step-by-step explanation:
You can use the slope formula to identify and graph each equation simply by using y = mx + b. Where y is the the y coordinate, x is the x coordinate, m is the slope, and b is the y-intercept. With this you can start plotting by marking the y-intercept by putting the x as zero and seeing what number you get. In this case, 3x0-7 = -7. Meaning that would be the y-intercept. For the slope, depending on what the x coordinate is, that's how much the graph will increase or decrease whenever the x coordinate changes. Say the x coordinate is 1, so 3x1-7 = 3-7 = -4. Meaning your coordinate would be (1, -4) where you can keep doing this formula on and on to find the y coordinate for what x coordinate you want to find, or make it easier to graph with a ruler on paper once you have enough points.
I hate math with a burning passion
Answers
========================================================
Explanation:
Let's go through the answer choices one by one to see which are true, and which are false.
A) False. The three dots at the end of the given list of numbers tells us the pattern goes on forever. This sequence has infinitely many terms. B) True. The first four terms are -3, 5, -7, 9, showing that the fourth term is indeed 9.C) False. The fifth term is -11, and not 2. If it said f(2) = 5, then the statement would be true because the 2nd term is 5.D) True. The domain is {1, 2, 3, 4, ...} which are indexes for the term numbers. For example, the input n = 4 is part of the domain to get us to f(4) = 9. In other words, the input 4 leads to the output 9.E) True. The notation (4,9) is another way of saying "the 4th term is 9", which is equivalent to the notation f(4) = 9.3(2x + 8) = 0 what is x
Answers
Answer: Heyaa!
The Answer, x= −4
Step-by-step explanation:
Divide both sides by the numeric factor on the left side, then solve.
Hopefully this helps you~
- Matthew :)
have an amazing day <3
Answer:
X = - 4
Step-by-step explanation:
3(2x+8) =0
6x + 24 = 0
6x = 0 - 24
6x = - 24
X = - 24/6
X = - 4
Hope this helpssssss
Write the following phrase as an algebraic expression. Use n for "a number."
three increased by the quotient of a number and two
a.
3+ n
2
b.
22
3 + -
2
C.
3(2 + 2)
d.
3 + 222
Please select the best answer from the choices provided
A
B
C
Answers
Answer:
3+(n/2) i think that is a? i cant rlly tell
Step-by-step explanation:
I'm supposed to find the volume of a cube but the only number I am given is 6. Do I multiply 6 three times?
Answers
So in this case V= 6^3
V= 216
please help me........asap
Answers
Answer:
If I had to guess I would choose "a group of employees determined by a random number generator"
Drag the tiles to the correct boxes to complete the pairs. simplify the mathematical expressions to determine the product or quotient in scientific notation. round so the first factor goes to the tenths place. arrowright arrowright arrowright arrowright
Answers
The simplified mathematical expressions with the first factor to the nearest tenth are:
7.8 x 10
3.3 x [tex]10^{3}[/tex]
2.1 x [tex]10^{-3}[/tex]
3.7
What are the simplified mathematical expressions ?Scientific notation is used to simplify large numbers in smaller numbers. In order to write a number in scientific notation , the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10.
(8.6 x [tex]10^{7}[/tex]) . (9.1 x [tex]10^{-8}[/tex])
= (8.6 x 9.1) x [tex]10^{7 - 8}[/tex]
= 78.26 x[tex]10^{-1}[/tex]
= 7.8 x 10
(6.9 x [tex]10^{5}[/tex]) . (4.8 x [tex]10^{-3}[/tex])
= 33.12 x [tex]10^{5 - 3}[/tex]
3.3 x [tex]10^{3}[/tex]
(3.7 x [tex]10^{2}[/tex]) . (4.6 x [tex]10^{-3}[/tex]) ÷ (1.4 x [tex]10^{-6}[/tex]) . (5.7 x [tex]10^{8}[/tex])
= 1.7 x 10 ÷ 8 x10²
0.21 x [tex]10^{-2}[/tex]
2.1 x [tex]10^{-3}[/tex]
(3.1 x [tex]10^{5}[/tex]) . (5.3 x [tex]10^{-9}[/tex]) ÷ (7.3 x [tex]10^{2}[/tex]) . (6.1 x [tex]10^{-7}[/tex]) = 3.7
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A square has an area of square inch what is [tex]18x^{2}[/tex] the length of one of its sides
Answers
Answer:
18x
Step-by-step explanation:
18x times 18x
so the side is 18x because it was squared
Please help will give brainliest!
Area of a Polygon
In this unit, you learned about finding the area of triangles and rectangles using coordinates. But there are many more shapes than just triangles and rectangles, and these shapes often can be relatively complex. You can still find properties of such polygons by dividing them into an arrangement of simpler shapes—polygons that you’re familiar with.
When a two-dimensional figure is composed of smaller figures, its area is equal to the sum of the areas of the smaller figures. When finding the area of a polygon, it is helpful to know that any polygon can be partitioned into a series of triangles.
You will use GeoGebra to partition a polygon into a set of triangles. Go to partitioning a polygon, and complete each step below.
Part A
Draw line segments to partition the given polygons into triangles. There is more than one correct answer. Take a screenshot of your construction, save it, and insert the image in the space below.
Answers
Step-by-step explanation:
the area of a polygon is defined as the area that is enclosed by the boundary of the polygon / area =n*a*ri/2
One line passes through the points \blueD{(-6,0)}(−6,0)start color #11accd, left parenthesis, minus, 6, comma, 0, right parenthesis, end color #11accd and \blueD{(-4,6)}(−4,6)start color #11accd, left parenthesis, minus, 4, comma, 6, right parenthesis, end color #11accd. Another line passes through points \green{(5,-2)}(5,−2)start color #28ae7b, left parenthesis, 5, comma, minus, 2, right parenthesis, end color #28ae7b and \green{(8,7)}(8,7)start color #28ae7b, left parenthesis, 8, comma, 7, right parenthesis, end color #28ae7b.
Are the lines parallel, perpendicular, or neither? its khan academy
Answers
Answer:
paralell
Step-by-step explanation:
helpppppppppppppppppp 100 points
Answers
Answer:
Range = 4Mode = 3Step-by-step explanation:
The range is the difference between the maximum and minimum values:
5 - 1 = 4The mode is the most repeated value of the data set
This is 3 (repeated 5 times)Answer:
I attached a screen shot of the answer
Step-by-step explanation:
Miriam has 2 yellow tea cups and 5 brown teacups. Which ratio compares the number of brown tea cups to the total number of teacups?
A. 5:2
B. 2 to 7
C. 5 to 7
D. 2/5
F. 5:7
D. 5/7
Answers
The answer is 5:2 ration, it's already fully simplified
The ratio of width to length for an American flag is 10 to 19. How wide is a flag that is 66 cm long
Answers
Answer:
35cm
Step-by-step explanation:
The ratio of width:length is 10/19. Since the given length is 66cm long, we multiply by the ratio to get 66 x 10/19 = 34.7 = 35cm
What is the area of a circle with a Radius of 4 and a Diameter of 2?
(Its on Khan)
Answers
Answer:4^2≈50.26548
Step-by-step explanation:
πr2.
Where r is the radius and π≈3.14 , the ratio of a circle's circumference to its diameter.
Plugging in 4 from the radius, we get.
42π
⇒16π inches.
This is our exact answer. Alternatively, we can plug in 3.14 for π to get.
50.26 inches.
50 points for whoever could someone please assist me with this question
Answers
The first step to the proof is ∠QRS + ∠STQ = 180°
What is a cyclic Quadrilateral?A cyclic quadrilateral is a quadrilateral circumscribed by a circle in which all the vertices of the quadrilateral touch the circle.
Analysis:
Join line Qx and Sx together.
2∠QRS = reflex ∠QxS ( twice angle at the circumference is that at center)
2∠STQ = ∠QxS( twice angle at circumference is that at the center)
Also ∠QXS + reflex ∠QXS = 360(angle at a point)
2∠QRS + 2∠STQ = 360
2(∠QRS + ∠STQ) = 360
∠QRS + ∠STQ = 180°
In conclusion, ∠QRS + ∠STQ = 180°
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please help my last semester is ending in 4 days
(edmentum + 70 points)
Answers
Part 1
f(x) + g(x)
3x+2 + 4x
(3x+4x) + 2
7x+2
Therefore, f(x)+g(x) = 7x+2
================================================
Part 2
f(x) = 3x+2
f( g(x) ) = 3( g(x) ) + 2 ... replace every x with g(x)
f( g(x) ) = 3(4x) + 2 .... plug in g(x) = 4x
f( g(x) ) = 12x + 2
================================================
Part 3
Let's say x is the number of minutes.
Furthermore, let's say f(x) and g(x) are phone plan costs. Computing f(x)+g(x) will give the total cost of both plans combined. This is one example where it's useful to add the functions.
---------
As for a second example, let's say g(x) = 4x represents the total cost to fill up your car when you use x gallons of gas. The 4 out front means gas is $4 per gallon.
When we compute f( g(x) ) = 3*g(x) + 2, we could have 3 different cars that use the same amount of gas (x). The +2 at the end could be something like we have to pay $2 for parking.
Overall, f( g(x) ) = 12x + 2 is the total cost of filling up 3 cars and paying for the extra $2 parking.
Notice the output of g(x) is fed directly as the input of f(x). Think of it like a chain reaction.
This is one example of many where function composition is useful.
Find the area of this circle. Use
3.14 for i.
72 in.
..
in.2
The area of the circle is about
(Round to the nearest hundredth as needed.)
Answers
Answer:
4,069.44 in squared
Step-by-step explanation:
pir^2
72/2 = 36
36^2 = 1,296pi
1,296*3.14 = 4,069.44
(1+5²) –16 (1/2)³
Please help please and Thank you
Answers
Answer:
the answer simplified is 24
Step-by-step explanation:
Please help asap! I don’t understand it
Answers
Step-by-step explanation:
From given graph
f(-3)= (-3)
f(1)=1
Answer:
f(-3) = -3
f(1) = 1
Step-by-step explanation:
f(x) means the "function of x".
Therefore, the number in the bracket after the letter f is the value of x.
f(-3) means find the value of the function (y-value) when x = -3
f(1) means find the value of the function (y-value) when x = 1
To find f(-3), find x = -3 on the x-axis.
Now trace vertically until you meet the line. Read the value of y at this point.
⇒ f(-3) = -3
To find f(1), find x = 1 on the x-axis.
Now trace vertically until you meet the line. Read the value of y at this point.
⇒ f(1) = 1
The table shows the ratio of people who ate a certain type of lunch to the total number of people who ate lunch. Lunch Type of Lunch Ratio to the Total Turkey sandwich 1 3 1 Vegetarian sandwich 6 4. Chicken sandwich 15 Salad 7 30 A total of 840 people ate lunch. Which statement is true? A Half as many people ate a turkey sandwich as ate a vegetarian sandwich. B One-fourth as many people ate a vegetarian sandwich as ate a salad. C There were 56 more people who ate a turkey sandwich than ate a chicken sandwich. с D There were 28 more people who ate a salad than ate a chicken sandwich.
Answers
Using proportions, it is found that the correct statement is given by:
C There were 56 more people who ate a turkey sandwich than ate a chicken sandwich.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, one third out of 840 people ate Turkey Sandwich, hence the number is given by:
nT = 840/3 = 280.
One sixth ate Vegetarian Sandwich, hence the number is given by:
nV = 840/6 = 140.
4/15 ate Chicken Sandwich, hence the number is given by:
nC = 4 x 840/15 = 224.
7/30 ate Salad, hence the number is given by:
nS = 7 x 840/30 = 196.
Thus, option C is correct.
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PLEASE HELP!!! 60 POINTS!!!
Otis measured the heights of several sunflowers. He found
that their heights were 2, 3, 5, 7, and 8 feet.
Otis found that the mean was 5 feet and the range was 6
feet.
Which numbers describe the center and spread of this data set?
A. 2 feet describes the center, and 8 feet describes the 8 spread.
B. 8 feet describes the center, and 2 feet describes the spread.
C. 6 feet describes the center, and 5 feet describes the spread.
O D. 5 feet describes the center, and 6 feet describes the spread. 6
Answers
Answer:
D
Step-by-step explanation:
the mean will describe the center and the range will describe the spread, I know this because the mean is in the middle, and the only other thing for the range would be the spread.
Help please!
Change the function f(x) = 2x² + 8x +5 into vertex form.
f(x) == 2(x+4)² +5
f(x) == 2(x+2)² +5
f(x) == 2(x+2)² −3
f(x) == 2(x+4)² - 27
Answers
Answer:
C) f(x) = 2(x+2)² - 3
Explanation:
Given function:
f(x) = 2x² + 8x +5
Vertex form: y = a(x - h)² + kFor this function:
⇒ y = 2x² + 8x + 5
⇒ y = 2(x² + 4x) + 5
⇒ y = 2(x + 2)² + 5 - 2(2)²
⇒ y = 2(x + 2)² - 3
Kelsey had $65 to spend on books. Each book cost $5.50, and there was a $7.50 fee for shipping. She let b equal the number of books she can purchase and wrote the inequality 5.50 b + 7.5 less-than 65 to represent the situation. Which statements describe the reasoning used to determine if Kelsey’s inequality is correct? Select two options. The inequality symbol is correct because she must spend less than $65. The inequality symbol is incorrect because she can spend up to and including $65. The expression 5.50b + 7.5 is correct because $5.50 per book is 5.50b and that is added to the shipping fee of $7.50 to determine the total purchase price. The expression 5.50b + 7.5 is incorrect because $5.50 per book and $7.50 should be combined to $9.50b to determine the total purchase price. The inequality symbol is correct because she cannot spend more than $65. PLS NEED ASAP!!
Answers
Answer: Kelsey had $65 to spend on books. Each book cost $5.50, and there was a $7.50 fee for shipping. She let b equal the number of books she can purchase
Step-by-step explanation:
Answer:
its B and C
Step-by-step explanation:
The volume of a right cone is 3975\piπ units^3 3 . If its radius measures 15 units, find its height.
Answers
If its radius measures 15 units. Then the height of the cone will be 53 units.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The volume of a right cone is 3975π cubic units.
If its radius measures 15 units.
Then the height of the cone will be
The volume of the cone is given as
Volume = 1/3 x π x r² x h
Then we have
3975π = 1/3 x π x 15² x h
11925 = 225 x h
h = 53 units
More about the geometry link is given below.
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