Answer:
5y + 8
Step-by-step explanation:
5y + 3 + 5
5y + 8
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Frank wants to know how many people live in each household in his town. He conducts a random survey of 10 people and asks how many people live in their household. His results are shown in the table.
1 6 2 4 4 3 5 5 2 8
Calculate the MAD of the number of people per household.
Answer:
1.6
Step-by-step explanation:
The average of this ten number is (1+6+2+4+4+3+5+5+2+8)/10=4
So the MAD is (|1-4|+|6-4|+|2-4|+|4-4|+|4-4|+|3-4|+|5-4|+|5-4|+|2-4|+|8-4|)/10
=(3+2+2+0+0+1+1+1+2+4)/10
=1.6
The points (1, 4) and (−3, 2) are the endpoints of a diameter of a circle. What is the equation of the circle?
Answer:
Step by step
Step-by-step explanation:
Since we have the endpoints of the diameter, the midpoint coordinates of the line segment joining them gives the centre of the circle.
That is, centre (a,b) = ( [1+(-3)]/2, [4+2]/2) = (-1,3)
Distance between the given points give the diameter and half of that is the radius length.
So, radius r = (1/2)* sqrt ( [1-(-3)]^2 + [4–2]^2) = sqrt(5)
Thus equation required is: (x-a)^2 + (y-b)^2 = r^2
So, (x+1)^2 + (y-3)^2 = 5
The equation of the circle is (x + 1)² + (y - 3)² = 5
How to determine the circle equation?The endpoints of the diameter are given as:
(1, 4) and (−3, 2)
Start by calculating the midpoint using:
Midpoint = 0.5 * (x₁ + x₂, y₁ + y₂)
So, we have:
Midpoint = 0.5 * (1 - 3, 4 + 2)
Evaluate
Midpoint = (-1, 3)
So, the center (a,b) of the circle is:
(a,b) = (-1,3)
Calculate the length of the diameter using:
D² =(x₁ - x₂)² + (y₁ - y₂)²
This gives
D² = (1 + 3)² + (4 - 2)²
D² = 20
Take the square roots
D = 2√5
Divide by 2 to calculate the radius
r = √5
Square both sides
r² = 5
The equation of the circle is then represented as:
(x - a)² + (y - b)² = r²
This gives
(x + 1)² + (y - 3)² = 5
Hence, the equation of the circle is (x + 1)² + (y - 3)² = 5
Read more about circle equations at:
https://brainly.com/question/1559324
Nred help, this shape have 9 edges and 6 faces help?
Answer:
Triangular prism
Step-by-step explanation:
A triangular prism has 9 edges, 6 vertices and 5 faces. I don't think there is any other shape which fits 9 edges and 6 faces.
At a garage sale, the most expensive item was marked $24.00 more than the cheapest item. The sum of the two items was $27.50. Find the cost of the least expensive item.
Answer:
$3.50
Step-by-step explanation:
27,50-24.00=3.50
David can jog 3.5 miles in 75 minutes. What is David’s jogging rate per hour?
PLEASE SHOW YOUR WORK!!!!
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I need help for this question please!!!!
Answer:
a. 35 degrees
b. 145 degrees
Step-by-step explanation:
a. Since the two base angles of this triangle are congruent, we can conclude that the triangle is isosceles, which means that the two base angles and sides are congruent.
Now, knowing that information, we can subtract 110 from 180 (the sum of all interior angles in a triangle) and we get 70. But this isn't our answer. This is the sum of both base angles. Since the base angles are congruent, we can divide the 70 by 2 to get the measure of ONE base angle, which is 35 degrees.
b. There are two approaches to solve this problem. I have worked both out.
1) We can use the Exterior Angle Theorem, which states that the sum of the interior angles is equal to the exterior angle. We can add 110 to 35, so we get 145 degrees as the measure of <1.
2) The second approach is supplementary angles. Since we see that one of the base angles and <1 is on the same line, we can subtract 35 from 180 to find the measure of <1 to get 145 degrees.
Either way you use, you get the correct answer. Hope this helped!
Mr. Kraft bought a case of monster energy drinks. It was on sale for 20% off. He paid $24. What was the original price?
Answer:
$30
Step-by-step explanation:
To find the original price, divide the new price by 0.8
24/0.8
= 30
So, the original price was $30
Answer:
30 dollars
Step-by-step explanation:
Can Somebody help me real quick?
Answer:The answer is (4 x -1)
Step-by-step explanation: How to solve this is tell the teacher I don’t know
Given that £1 = $1.58
a) How much is £920 in $?
b) How much is $553 in £?
Para fazer um serviço de operário leva 70 dias . Se trabalhou 25 dias num mês e 24 dias no outro mês , quantos dias faltam para ele terminar o serviço?
Responda:
21 dias
Explicação passo a passo:
Total de dias necessários = 70 dias
Dias usados no mês 1 = 25 dias
Dias usados no mês 2 = 24 dias
Dias usados no total = 24 + 25 = 49 dias
Dias restantes :
70 dias - 49 dias
= 21 dias
Write an Equation using the following arithmetic sequence: 24, 18, 12
Answer:
24-18=6+6+12
hope this helps you!!
Step-by-step explanation:
The Parkview middle school football team will be playing in the state championship the cochairs free tickets that he would be distributing to his 52 football players to give to their friends and family if you would like to give each player at least three tickets how many total tickets Must he have
Answer: 156
Step-by-step explanation: 52*3=156 tickets
Esmeralda cut out two paper rectangles and glued them together as shown in the figure.
Find the area of the Esmeralda's composite figure.
A)32 cm
B)40 cm
C)48 cm
D)56 cm
PLEASE ANSWER
The team bus is carrying 15 players. Only
sophomores, juniors, and seniors are on the team bus.
There is one more sophomore than juniors. The
number of seniors is one more than the sum of the
number of juniors and sophomores. How many juniors
are there?
Answer:
there are 3 Juniors, 4 sophomores and 8 seniors
Alyssa fills her sports bottle with 1.3 liters of water. She drinks 500 milliliters of the water. How much is left in Alyssa's sports bottle?
Answer:
5999
Step-by-step explanation:
Randy rented a rectangular storage shed with the volume of 357 ft does it sheds height is 8 and 1/2 ft and the width of is 6 ft what is the length of the shed
Answer:
7 feets
Step-by-step explanation:
Volume of shed, V = 357 feet³
Height of shed, H= 8 1/2 fts
Width of shed, W = 6 ft
Using the relation :
Volume = Length * width * height
357 = L * 6 ft * 17/2 feets
357 feets³ = L * 51 feets²
L = 357 feets³ / 51 feets²
Length, L = 7 feets
Give the sum in simplest form: 2x/w + y/w
Answer:
[tex]\frac{2x+y}{w}[/tex]
help plz helpppppppppppp plzzzzzzzzz
it's 5 days, if you need an explanation feel free
Answer:
5 days
Step-by-step explanation:
for 100 people------------ last for 8 days
for 1 person-----------------last for 8x100=800 days
Therefore, for 160 people----------------last for(800/160)=5 days.
The number of carbon atoms in a fossil is given by the function, = 5,100(0.95),wherexrepresentsthenumberofyearssincebeing discovered.
Answer:
Percent of change each year = 5%
Step-by-step explanation:
P.S - The exact question is -
Given - The number of carbon atoms in a fossil is given by the function,
y (x)= [tex]5100(0.95)^{x}[/tex], where x represents the number of years since
being discovered.
To find - What is the percent of change each year? Explain how you arrived
at your answer
Proof -
Given that, the number of carbon atoms in a fossil is y(x) = [tex]5100(0.95)^{x}[/tex]
Initially, the number of fossils be
y(0) = [tex]5100(0.95)^{0}[/tex] = 5100
After 1 year, The number of fossils be
y(1) = [tex]5100(0.95)^{1}[/tex] = 5100(0.95) = 4845
Now,
Change in 1 year = y(0) - y(1) = 5100 - 4845 = 255
Now,
Percent of chance = [tex]\frac{255}{5100}[/tex] × 100%
= 0.05 × 100%
= 5%
⇒Percent of chance = 5%
∴ we get
Percent of change each year = 5%
What's the equation
Given:
The graph of a parabola.
To find:
The equation for the parabola.
Solution:
The vertex form of a parabola is:
[tex]y=a(x-h)^2+k[/tex] ...(i)
Where, a is a constant and (h,k) is the vertex.
From the given graph it is clear that the vertex of the parabola is at point (-1,6). So, h=-1 and k=6.
Putting h=-1 and k=6 in (i), we get
[tex]y=a(x-(-1))^2+(6)[/tex]
[tex]y=a(x+1)^2+6[/tex] ...(ii)
The y-intercept of the graph is at point (0,3). Putting x=0 and y=3 in (ii), we get
[tex]3=a(0+1)^2+6[/tex]
[tex]3-6=a[/tex]
[tex]-3=a[/tex]
Putting a=-3 in (ii), we get
[tex]y=-3(x+1)^2+6[/tex]
Therefore, the equation of the parabola is [tex]y=-3(x+1)^2+6[/tex].
The height of a skydiver jumping out of an airplane is given by n = -16t^2 + 3200. How long will it take the skydiver to reach the ground? Round to the nearest tenth of a second.
Answer:
0 = -16t² + 3200 → 16t²= 3200 → t² = 200 → t = 10√2 s ≈ 14 s
The time taken by the skydiver to reach the ground is 14.1 second.
What is the solution of a quadratic equation?The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.
Given that, the height of a skydiver jumping out of an airplane is given by n = -16t² + 3200.
Here, n=0
-16t² + 3200=0
-16t²=-3200
t²=200
t=√200
t=14.14
t=14.1 second
Therefore, the time taken by the skydiver to reach the ground is 14.1 second.
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What is 3200(0.045)(8)?
Answer:
1152
Step-by-step explanation:
Please help thank you so mcuh
Answer:
7.0
Step-by-step explanation:
Right angled triangle. To find the hypotenuse, use Pythagorean theorem.
Hypotenuse² = base² + altitude²
= 6.5² + 2.7²
= 42.25 + 7.29
= 49.54
hypotenuse = √49.54 = 7.04 = 7
Step-by-step explanation:
by using Pythagoras law
h²=p²+b²
missing angle =h let
h²=(2.7)²+(6.5)²
h=√(49.50)=7.03=7
HELP with part (b)!! will mark brainlest!!!!
Answer:
Step-by-step explanation:
it's 7 b/c everything is halved
To make a certain shade of paint, Frazier mixed 4/9 cups of white paint with 2 and 2/9 cups of blue paint.
How many cups of blue paint should she mix with 6/7 cups of white paint to make the same shade?
good luck:)
Answer:
Here, it's ratio
Step-by-step explanation:
4/9: 2 and 2/9
simplify
1:5
6/7:x
6/7 x 5 is....
30/7
Mixed number is 4 2/7
BLAM!!!
The perimeter of parallelogram ABCD is 46 inches.
What is DA?
Answer:
Not enough information.
Step-by-step explanation:
AB + BC + CD + DA = 46
In a parallelogram, opposite sides are congruent.
AB + DA + AB + DA = 46
2AB + 2DA = 46
We have two unknowns and only one equation.
There is not enough information to answer the question.
Simplify the question
Answer:
15x^2+3x-2
Step-by-step explanation: Just like regular math but with negatives!
Why am i wrong? Trigonometric Ratios. Real answers only!
Answer:
You may have gotten the opposite and adjacent mixed up.
[tex]\frac{24}{7}[/tex]
Step-by-step explanation:
An easy way to remember these trigonometric ratios is by using SOHCAHTOA, where:
SOH stands for-
[tex]Sine=\frac{Opposite}{Hypotenuse}[/tex]
CAH stands for-
[tex]Cosine=\frac{Adjacent}{Hypotenuse}[/tex]
TOA stands for-
[tex]Tangent=\frac{Opposite}{Adjacent}[/tex]
We are asked to find tan 74° given the right triangle. To find this, we must find the lengths of the opposite side and the adjacent side of the 74° angle. From looking at the triangle, we can see that the side opposite from the 74° angle is 24, and the adjacent is 7. So plugging it into the trigonometric ratio that we found using SOHCAHTOA, we find that:
[tex]tan74=\frac{24}{7}[/tex]
So the answer would be [tex]\frac{24}{7}[/tex]
Seeing as how you picked [tex]\frac{7}{24}[/tex] as your answer, it seems that you may have gotten the opposite and the adjacent mixed up or used [tex]tangent=\frac{adjacent}{opposite}[/tex] as your trigonometric ratio.
I hope you find my answer and explanation to be helpful. Happy studying.
Find the area of a triangular garden if the sides are approximately 6 feet, 14 feet, and 13 feet (to the nearest square foot).
546 ft2
39 ft2
10 ft2
578 ft2
Hi im going to give Brainliest to the person who best answers! Thank you!!! :)
Answer: 2 over 3 = 5 over 6 and the other answer is 6 over 6
Step-by-step explanation: Hope this helps