Ellipse is your answer, because if you plug the equation into a graphing calculator and identify the conic, the term ellipse is given-
“If S = -- [2a + (n − 1)d], find the value of S when n = 42, a = 50, d = −2.”
Can someone please explain, I got the answer from a friend, but still don’t get how to get there (answer is s=378)
Answer:
see explanation
Step-by-step explanation:
Note that the formula given is incorrect.
The formula for the sum to n terms of an arithmetic sequence is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a + (n - 1)d ]
Substituting the given values into the formula
[tex]S_{42}[/tex] = [tex]\frac{42}{2}[/tex] [ (2 × 50) + ( - 2 × 41) ]
= 21 ( 100 - 82)
= 21 × 18 = 378
I PROMISE BRAINLIST JUST 1 QUESTION VERY SIMPLE!!!! PLZZZ IT'S URGENT!!!!!
Answer:
B
Step-by-step explanation:
Find the median and the upper/lower quartiles
Rearrange the data in ascending order
33, 36, 37, 38, 41, 42, 46, 49, 50, 50, 51, 52, 53, 54
The median is the middle value of the data or if there is no exact value at the middle then it is the average of the 2 values either side of the middle
Here the median is between 46 and 49
median = [tex]\frac{46+49}{2}[/tex] = 47.5
The upper quartile is the middle value of the data to the right of the median
[tex]Q_{3}[/tex] = 51
The lower quartile is the middle value of the data to the left of the median
[tex]Q_{1}[/tex] = 38
The minimum value = 33
The maximum value = 54
The lower quartile is the left side of the box plot
The upper quartile is the right side of the box plot
The median is located inside the box plot
The corresponding box plot is B
B is the answer good luck man
The coach has 3 positions to fill on his basketball team. There are 9 students interested in being on the team. How many combinations of the three positions can he choose?
Answer:
84
Step-by-step explanation:
To find this, we need to understand the combination formula.
If we have n items and we want to choose r at a time, we use the formula:
[tex]nCr=\frac{n!}{(n-r)!*r!}[/tex]
Where n! means n(n-1)(n-2)....
So we want 9C3, plugging them into the formula and doing some arithmetic, we have:
[tex]nCr=\frac{n!}{(n-r)!*r!}\\9C3=\frac{9!}{(9-3)!*3!}\\=\frac{9!}{6!*3!}\\=\frac{9*8*7*6!}{6!*3*2*1}\\=\frac{9*8*7}{3*2*1}\\=84[/tex]
So, there can be 84 combinations possible.
Brianna asks classmates how many pencils and erasers they carry in their bags. The mean number of pencils is 11. The mean number of erasers is 4. The MAD of both data sets is 2. What inference could Brianna make using this data?
The solution is, Mean Absolute Deviation = 2.2222
What is mean absolute deviation?The next three procedures are necessary to calculate the mean absolute deviation.
By adding up all the observations and dividing by the sample size, you can determine the sample average.
Discover the total deviation from the mean of each data point. When negative signals appear, ignore them and instead deduct the observed values from the mean.
Determine the absolute deviations' average. Divide the total of the values from step #2 by the sample size.
here, we have,
Input Data:
Data set = 1, 2, 3, 4, 5, 6, 7, 8, 9
Total number of elements = 9
Objective:
Find what is mean absolute for given input data?
Solution:
X mean = (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9)/9
= 45/9
X mean = 5
MAD = (1 - 5) + (2 - 5) + (3 - 5) + (4 - 5) + (5 - 5) + (6 - 5) + (7 - 5) + (8 - 5) + (9 - 5)9 = (4) + (3) + (2) + (1) + (0) + (1) + (2) + (3) + (4)9
=209
Mean Absolute Deviation = 2.2222
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Bella has x amount of money in her checking account. She spends $19.35 for a new purse. Now she has at least $97.22 left in her account. Write an inequality to fit the situation. How much money did Bella have in her account originally?
Answer:
x -19.35 ≥ 97.22at least $116.57Step-by-step explanation:
"At least" means "greater than or equal to."
x - 19.35 ≥ 97.22
x ≥ 116.57 . . . . . . . . . add 19.35
Bella originally had at least $116.57 in her account.
2x-9 x=3 ..............................
Answer:
3
Step-by-step explanation:
g
Answer:
(-3)Step-by-step explanation:
2x - 9
If x = 3
Then,
2·(3) - 9 = 6 - 9 = (-3)
A circle is centered at the origin and contains the point (-6, -8). What is the area of this circle?
Answer:
314 units²
Step-by-step explanation:
Centre of the circle = (0, 0)
Another point on the circle = (-6, -8)
[tex]\text {Radius = }\sqrt{(0 - (-6))^2 + (0- (-8))^2}[/tex]
[tex]\text {Radius = }\sqrt{6^2 + 8^2}[/tex]
[tex]\text {Radius = }\sqrt{100}[/tex]
[tex]\text {Radius = }10[/tex]
Area = π (10)² = 100π = 314 units²
Final answer:
The area of the circle is found by first calculating the radius using the distance formula, which is determined to be 10 units. Then, the area formula πr² is used to find that the area of the circle is 100π square units.
Explanation:
To find the area of the circle centered at the origin containing the point (-6, -8), we first need to determine the radius of the circle. The radius can be found using the distance formula for a point from the origin, which is √((-6)²+ (-8)²). After calculating the radius, we use the formula for the area of a circle, which is πr^2, to find the circle's area.
The distance from the origin to the point (-6, -8) is the radius (r) of the circle: r = √((-6)² + (-8)²) = √(36 + 64) = √100 = 10.
Now that we have the radius, we can calculate the area (A): A = πr² = π(10)² = 100π square units.
A survey was taken among female and male voters and which candidates they voted for.
Below is the two-way table that summarizes the data.
Candidate A Candidate B
Female 32 43
Male 36 39
Of the male voters, approximately what proportion voted for Candidate A?
Answer: its 48% i took the test
Step-by-step explanation:
Answer:
the actual answer is 43%
Step-by-step explanation:
Find the side length of a square which has an area of 81 sq in. and a perimeter of
36 in.
Answer:
Area of 81 sq in: 40.2
Perimeter of 36 in : 9
Step-by-step explanation:
Hope I'm right! :)
Answer:
9 inches
Step-by-step explanation:
A square has an area of 81 in^2
A = s^2
81 = s^2
Take the square root of each side
sqrt(81) = sqrt(s^2)
9 = s
The side length is 9 inches
A square has a perimeter of 36 in
P = 4s
36 = 4s
Divide each side by 4
36/4 = 4s/4
9 = s
Each side is 9 inches
A rectangular prism with a volume of 5 cubic units is filled with cubes with side length of 1/3 unit. How many 1/3 unit cubes does it take to fill the prism?
Hurry and answer!
Answer:
(1/3)³c = 5
(1/27)c = 5
c = 5 × 27 = 135 cubes
The Main Answer is 135. It takes [tex]135[/tex] of the [tex]1/3[/tex] unit cubes to fill the rectangular prism.
To find out how many [tex]1/3[/tex] unit cubes it takes to fill the rectangular prism with a volume of [tex]5[/tex] cubic units, we need to divide the volume of the prism by the volume of each individual cube.
The volume of the rectangular prism is given as [tex]5[/tex] cubic units. Since the prism is a rectangular shape, we can calculate its volume using the formula:
[tex]Volume of prism=length*width*height[/tex]
Given that the side length of each cube is [tex]1/3[/tex] unit, the volume of each cube is:
[tex]Volume of cube=(side length)^{3} =(1/3)^{3}=1/27 cubic[/tex]
Now, to find out how many cubes are needed to fill the prism, we divide the volume of the prism by the volume of each cube:
[tex]Number of cubes=Volume of prism/Volume of cube \\Number of cubes=5/(1/27)\\Number of cubes=5*27\\Number of cubes=135[/tex]
So, it takes [tex]135[/tex] of the [tex]1/3[/tex] unit cubes to fill the rectangular prism.
COMPLETE QUESTION:
A rectangular prism with a volume of [tex]5[/tex] cubic units is filled with cubes with side length of [tex]1/3[/tex] unit. How many [tex]1/3[/tex] unit cubes does it take to fill the prism?
A. 12
B. 6
C. -6
D. -12
Answer:
B
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
here [ a, b ] = [ 2, 4 ]
f(b) = f(4) = 16 ← from graph
f(a) = f(2) = 4 ← from graph
average rate of change = [tex]\frac{16-4}{4-2}[/tex] = [tex]\frac{12}{2}[/tex] = 6
Write the expression: 4 divided by the sum of x and 7. A) 4 + 7 x B) x 4 + 7 C) x + 7 4 D) 4 x + 7
Answer:
4
-------
x + 7
Step-by-step explanation:
sum of x and 7 = (x + 7)
So 4 divided by the sum of x and 7 = 4 / (x + 7)
Answer
4
-------
x + 7
Final answer:
The correct way to write the expression '4 divided by the sum of x and 7' is 4 / (x + 7), which is not represented in any of the given options.
Explanation:
The expression 4 divided by the sum of x and 7 is written mathematically as 4 / (x + 7). None of the provided options A) 4 + 7 x, B) x 4 + 7, C) x + 7 4, or D) 4 x + 7 correctly represent this expression. The correct notation for division by a sum involves placing the sum in the denominator inside parentheses to ensure the correct order of operations is followed.
Find the perimeter of each rectangle 124ft length 96ft. Width
Answer:
440
Step-by-step explanation:
124+124+96+96=440
a prism is a three..........shape with the same.........all the way through
Fill the gaps
A prism is a three-dimensional object that keeps the same cross-section throughout its length, such as a cylinder. An example of this is a cylinder, which has circular ends and maintains this cross-section throughout its length.
Explanation:A prism is a three-dimensional shape with the same cross-section all the way through. This means that if you were to cut the prism at any point along its length, the shape you would see would be the same. An example of this is a cylinder, which has circular ends and maintains this cross-section throughout its length.
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What’s the answer?
Solve.
And explain.
Answer:
$10 + ($55 * h)
Step-by-step explanation:
So we know from the question that the price automatically includes $10, add that at the beginning.
Then, we have to pay $55 per hour, h.
That means we have to multiply $55 by every hour; $55 * h.
That's how you get the expression!
Now you shall knoe da wae, my brudda.
Fill in the blank to make this statement true:
the difference of nineteen and four _____ five multiplied by three
Question 11 options:
a is greater than
b is equal to
c is less than
Answer:
b. equal to
Step-by-step explanation:
difference means subtract
19 - 4 = 15
5 * 3 = 15
and 15 is the answer for both so that means the blank is equal to (b)
Answer:
b
Step-by-step explanation:
The difference of 19 and 4 is 15.
5 multiplied by 3 is 15.
So the two are equal.
the scale on the map shows that 1.5 cm represents 100 miles. If the distance on the map from Chicago to San Diego is 39.2 cm, approximately how many miles apart are the two cities?
A) 225.3 miles
B) 2613.3 miles
C) 25.5 miles
D) 261.3 miles
Given : The scale on the map shows that 1.5 cm represents 100 miles.
By unitary method,
1.5 cm = 100 miles
1 cm = 100/1.5 miles
39.2 cm = (100 × 39.2)/1.5 = 2613.33 miles (approx.)
Hence,
B) 2613.3 miles is the required answer.
Answer:
c
Step-by-step explanation:
did da work
What is the slope of the line that passes through the points (6,4) and (3,8)
Answer:
-1⅓
Step-by-step explanation:
According to the Rate of Change [Slope] Formula, m = -y₁ + y₂\-x₁ + x₂, you plug in each coordinate into the correct places and you will arrive at the above answer.
Help I don’t understand this one :/
Okay I’ll give it my best to explain and solve understand I’m human and if I get this wrong I made a mistake please don’t hate me having said that 96= {x+2} * {x-2} combining like terms x*x (2-2=0) = 92 x^2 and that’s how far I can get you
Answer:
x = 24.
Step-by-step explanation:
Set 96 = (x+2)+(x+2) + (x-2)+(x-2). Then simplify: 96 = (2x+4) + (2x-4). Simplify again XD: 96 = 4x (since +4 and -4 cancel out to get 0) . Divide 96 by 4 and your final answer should be 24 Wow..that was pretty slight lol :D
Question- In triangle QRS, angle R is 20 degrees more than angle Q and angle S is 70 degrees more than angle Q.Find angle R.
Answer:
R = 50
Step-by-step explanation:
The sum of the angles of a triangle equal 180 degrees
S + R + Q = 180
x+70 + x+ 20 + x = 180
Combine like terms
3x +90 =180
Subtract 90 from each side
3x+90-90 = 180-90
3x= 90
Divide by 3
3x/3= 90/3
x = 30
We want to find angle R
R = x+20
R = 30+20
R = 50
A plane which passes through three edges of a cube produces a triangular cross section as shown.
In two or more complete sentences, explain how the plane should pass through the cube in order to produce a cross section that is a regular hexagon.
Answer:
The plane should pass through the central axis, along the vertical diagonals of the cube, in order to produce a cross section that is a regular hexagon.
Step-by-step explanation:
The plane should pass through the central axis, along the vertical diagonals of the cube, in order to produce a cross section that is a regular hexagon.
Please see the image attached for better visualization.
To produce a regular hexagon as a cross section of a cube, the plane should pass through the cube's vertices and form an equilateral triangle with the three edges it intersects.
Explanation:In order to produce a regular hexagon as a cross section of a cube, the plane should pass through the cube's vertices. The three edges that the plane passes through should form an equilateral triangle on the face of the cube. This is because a regular hexagon can be formed by placing equilateral triangles side by side.
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the quadratic function h(t) = -16.1t squared +150
Answer:
Full question in attached picture.
To quickly solve this problem, we can use a graphing tool or a calculator to plot the equation.
Please see the second attached image below, to find more information about the graph .
The equation is:
h(t) = -16.1*t^2 + 150
Looking at the graph, we can tell that the ball was dropped from
150 feet
And it hits the ground after
3.052 s
Answer:
yeah
Step-by-step explanation:
what she or he siad
A cake is shared between 5 people. What percentage of the cake does each person get. SOMEONE HELP ASAP
Answer:
20%
Step-by-step explanation:
100% shared between 5 peoples.
100/5 = 20%
Yeah_Boi ;)
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khuturr_
a cake is shared between 5 people what percentage of the cake does earch person get
your answer is=20%
A box can hold 19 books.
Workout how many boxes will be needed to hold 464 books
Steps needed: 1. 464 / 19 = 24.4210526. 2. 19 books per 1 box
Answer: 25 boxes because then every book is in a box.
25 boxes is the answer
Help!!!! I will appreciate it.
what's missing is, how many days she was on vacation
PLEASE HELP YOU WILL GIVE YOU POINTS!!!
Answer:
The Answer is the 2nd Table from the top
Step-by-step explanation:
Total of 30 men, 20 watched 10 didn't
Total of 80 participants, 45 Watched, 35 Didn't
The Female participants had to add up to fill in the bottom rows.
Picture says it all. Please help!! Teacher checks soon
Answer:
[tex]68m^2[/tex]
Step-by-step explanation:
To find the surface area of the prism, we find the area of each similar faces and multiply by 2 and then add all together
Area of square faces
[tex]2(4\times 4)=16m^2[/tex]
Area of parallelogram faces
[tex]=2bh[/tex]
[tex]=2(2\times 4)=16m^2[/tex]
Area of the rectangular faces;
[tex]=2(4\times 2.5)=20m^2[/tex]
The total surface area of the prism is 20+16+32=68 square meters
The diameter of a semicircle is 6 miles. What is the semicircle's perimeter?
Answer:
[tex]15.42mi[/tex]
Step-by-step explanation:
Use the formula for a semicircle's perimeter.
[tex]P=\frac{1}{2}\pi *d+d[/tex]
Plug in 6 for d.
[tex]P=\frac{1}{2}\pi*6+6[/tex]
Let's use 3.14 for [tex]\pi[/tex], just to make it easier, but of course, if it states to round it to something else, just plug in that many values for [tex]\pi[/tex].
[tex]P=\frac{1}{2}(3.14)*6+6 \\ \\ P=1.57*6+6 \\ \\ P=9.42+6 \\ \\ P=15.42[/tex]
Answer:
Step-by-step explanation:
The perimeter = pi * d + d
d = 6 miles
The perimeter = pi*6 + 6 This is one possible answer
perimeter = 6*3.14 + 6
perimeter = 18.84 + 6
perimeter = 24.84 Which is another possibility
If you have choices, please list them.
Which could be the function?
A. F(x)=(x+4)^2
B. F(x)= x^2 +4
C. F(x)=(x-4)^2
D. F(x)= x^2-4
Answer:
C. F(x) = (x - 4)^2
Step-by-step explanation:
f(x) = (x - h)^2 is a parabola that opens up and has the line x = h as the vertical axis.
Here, the vertical axis is x = 4, so h must be 4.
The answer is: C. F(x) = (x - 4)^2
Answer: C. F(x) = (x - 4)^2
Step-by-step explanation: i did on edge
A family earns $523 from the yard sale. They pay 45 in advertising fees. What is the family profit from yard sale?
Answer:
$478
Step-by-step explanation:
To calculate the profit, we have to subtract the expenses from the revenues.
P = Revenues - expenses
We know the family gained $523 from the yard sale.
We also know they had to pay $45 for advertising.
So, the net different is the profit for the family:
P = $523 - $45 = $478.
That was a very good yard sale!, I hope mine went that well.
528 -45 would be your answer