Answer:
The one on the right is a proportional relationship between x and y
Step-by-step explanation:
Your going to have the divide y by x so (y ÷ x)
5÷2 = 2.5
10÷4 = 2.5
15÷6 = 2.5
They all end up having the same answer. So when you divide y by x, you have to have the same answer for every single one.
Describe the relationship between the inputs and outputs in the diagram. Then complete the diagram.
Answer/Step-by-step explanation:
As the input increases by 1, the output decreases by 4. The missing number for the Input is 6, and the missing number for output is -17.
Don Arnoldo heredó una parcela de forma rectangular, en la cual el largo más el ancho mide 30 metros y la diferencia entre el largo y el ancho es de 6 metros. ¿Cuánto mide de largo y de ancho la parcela?
Por lo tanto, la parcela mide 18 metros de largo y 12 metros de ancho.
Llamemos "largo" (L) a una de las dimensiones de la parcela y "ancho" (A) a la otra dimensión.
Según la información dada, sabemos que la suma del largo y el ancho es de 30 metros:
L + A = 30 ---(1)
También se nos dice que la diferencia entre el largo y el ancho es de 6 metros:
L - A = 6 ---(2)
Podemos resolver este sistema de ecuaciones utilizando el método de sustitución o de eliminación. En este caso, resolveremos utilizando el método de sustitución.
De la ecuación (2), podemos despejar L en términos de A:
L = A + 6
Sustituyendo este valor de L en la ecuación (1), obtenemos:
(A + 6) + A = 30
2A + 6 = 30
Restamos 6 de ambos lados de la ecuación:
2A = 30 - 6
2A = 24
Dividimos ambos lados de la ecuación por 2:
A = 12
Ahora que conocemos el valor de A, podemos encontrar el valor de L sustituyendo en la ecuación (2):
L = A + 6
L = 12 + 6
L = 18
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28+16x^4 i need it factored completely
Answer:
\(4(x^4+7)\)
Step-by-step explanation:
Taking out the greatest common factor,\(16x^4+28=4(x^4+7)\).
Learning Task 3 Answer the questions that follow. Put a check mark (/) on the space provided. Copy and answer in your math notebook. 1. The units for Volume are always ______squared _____cubed 2. Volume is the amount of space an object takes up. ___True ___False Calculate for the volume of solid. 3. Chona is selling Pringle Chips to raise money for a field trip. The container has a diameter of 9 inches and a height of 32 inches. 4. A 3-tier cake with the same height of 10 in and radius of 12 in, 8 in, 5 in respectively is to be delivered to a birthday party. How much space does this cake take up? Use 3.14 for π. 5. A Styrofoam model of a volcano is in the shape of a cone. The model has a circular base with a diameter of 48 centimeters and a height of 12 centimeters. Find the volume of foam in the model to the nearest tenth. Use 3.14 for π.
3. The volume of the Pringle Chips container is approximately 2034.72 cubic inches.
4. The cake takes up approximately 7317 cubic inches of space.
5. The volume of foam in the model of the volcano is approximately 7234.08 cubic centimeters.
1. The units for Volume are always cubed.
2. Volume is the amount of space an object takes up. True.
3. To calculate the volume of the Pringle Chips container, we need to find the volume of a cylinder. The formula for the volume of a cylinder is V = πr^2h, where π is a constant (approximately 3.14), r is the radius, and h is the height. Given that the diameter is 9 inches, the radius would be half of that, which is 4.5 inches. Substituting the values into the formula, we have:
V = 3.14 * (4.5)^2 * 32
V = 3.14 * 20.25 * 32
V ≈ 2034.72 cubic inches
4. To find the volume of the 3-tier cake, we need to find the volume of each tier separately and then add them together. Since all the tiers are cylinders, we can use the formula V = πr^2h.
Tier 1:
V1 = 3.14 * (12)^2 * 10 = 4521.6 cubic inches
Tier 2:
V2 = 3.14 * (8)^2 * 10 = 2010.4 cubic inches
Tier 3:
V3 = 3.14 * (5)^2 * 10 = 785 cubic inches
Total volume:
Total V = V1 + V2 + V3
Total V = 4521.6 + 2010.4 + 785
Total V ≈ 7317 cubic inches
5. To find the volume of the Styrofoam model of the volcano, we can use the formula for the volume of a cone, V = (1/3)πr^2h. Given that the diameter is 48 centimeters, the radius would be half of that, which is 24 centimeters. Substituting the values into the formula, we have:
V = (1/3) * 3.14 * (24)^2 * 12
V = (1/3) * 3.14 * 576 * 12
V ≈ 7234.08 cubic centimeters
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In the Gaussian integral, how does the left side of this equation equal the right side? An answer would be really appreciated, thank you.
the left side of this equation equal the right side through the process of completing the square that establishes the equality between the left side and the right side of the Gaussian integral equation.
How do we calculate?
using completing the square method:
Starting with the left side of the equation:
∫\(e^(^-^x^2)\) dx
\(e^(^-^x^2) = (e^(^-x^2/2))^2\)
∫\((e^(^-^x^2/2))^2 dx\)
let u = √(x²/2) = x = √(2u²).
dx = √2u du.
∫ \((e^(^x^2/2))^2 dx\)
= ∫ \((e^(^-2u^2)\)) (√2u du)
The integral of \(e^(-2u^2)\)= √(π/2).
∫ \((e^(-x^2/2))^2\) dx
= ∫ (√2u du) \((e^(-2u^2))\\\)
= √(π/2) ∫ (√2u du)
We substitute back u = √(x²/2), we obtain:
∫ \((e^(-x^2/2))^2\)dx
= √(π/2) (√(x²/2))²
= √(π/2) (x²/2)
= (√π/2) x²
A comparison with the right side of the equation shows that they are are equal.
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Which expression is equivalent to 2(7+y)
Answer:
2y + 14
Step-by-step explanation:
Distribution Property
2(7+y) = 14 + 2y
which is also 2y + 14
A machine creates pipe fittings at a constant rate at a manufacturing company. During a 10-hour shift, the machine is scheduled to create 500 pipe fittings. The graph shows the remaining number of pipe fittings that need to be created during the shift as a linear function of x, the time in hours.
Study the graph below...
Pipe Fittings... Total Pipe Fittings Remaining...
Time....
Hours...
Which answer choice best describes the domain and range of the function for this situation?
A. Domain: {−50}
Range: {500}
A. , Domain: , negative 50, , , Range: 500 , ,
B. Domain: {500}
Range: {−50}
B. , Domain: , 500, , , Range: negative 50 , ,
C. Domain: All real numbers greater than or equal to 0 and less than or equal to 500.
Range: All real numbers greater than or equal to 0 and less than or equal to 10.
C. , Domain: All real numbers greater than or equal to 0 and less than or equal to 500., , Range: All real numbers greater than or equal to 0 and less than or equal to 10., ,
D. Domain: All real numbers greater than or equal to 0 and less than or equal to 10.
Range: All real numbers greater than or equal to 0 and less than or equal to 500.
if not correct me c:
Step-by-step explanation:
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Answer:
The awnser is B i hope this helps :)
Step-by-step explanation:
Six boys stood equally spaced on a circle of radius 40 feet. Each boy walked to all of the other non-adjacent persons on the circle, shook their hands and then returned to his original spot on the circle before the next boy started his trip to shake hands with all of the other non-adjacent boys on the circle. After all six boys had done this, what is the least distance in feet that could have been traveled
Answer:
The lest distance in feet that could have been traveled is 480 + 480·√3 feet or approximately 1311.38 feet
Step-by-step explanation:
The parameters given are;
Six boys equally spaced round a circle
Radius of circle = 40 feet
Angle subtended by the arc between 2 boys = 360°/6 = 60°
Path of motion of each boy = To the other non adjacent boys = Inscribed Kite
∴ Path of motion of each boy = Right kite
Interior angles of the right kite = 90°, 90°, 120°, 60° (Angles subtended at the center = 2 × angle at the circumference)
Hence distance traveled by each boy = Perimeter of the right kite
Therefore, the distance traveled by each boy = 2 × (Long diagonal × sin((largest angle)/2) + Long diagonal × cos((largest angle)/2)
The distance traveled by each boy = 2 × (80 × sin(60) + 80 × cos(60))
\(The\, distance\, traveled\, by \, each\, boy = 2\times \left (80\cdot \dfrac{\sqrt{3}}{2}+80\times \dfrac{1}{2} \right )\)
\(The\, distance\, traveled\, by \, each\, boy = 80 + 80\cdot \sqrt{3}}\)
Hence we have;
The distance traveled by the six boys = 6 × (80 + 80·√3) = 480 + 480·√3 feet.
The lest distance in feet that could have been traveled = 480 + 480·√3 feet = 1311.38 feet.
simplify -2 minus square root of 15 over 2
Gabi finds a skirt she likes at the store for $45.99. If the tax rate is 5.8% how much will the skirt cost in total?
Answer:
$48.66
Step-by-step explanation:
$45.99 x 1.058 = 48.65742
a^3-a^2-2a+8 factorize
Answer:
factors-----(a+2)(a^2+4-3a)
An equation of a circle is given as (x + 6)2 + (y − 7)2 = 81. Find the center and radius of the circle.
The equation of a circle is written as (x – h)^2 + (y – k)^2 = r^2
h and k are the center point and r is the radius.
In the given equation h = -6 and k = 7 and r would be the square root of 81, which is 9.
Center (-6,7)
Radius = 9
The required center is \((-6,7)\) and the radius is 9 units.
Given equation is,
\((x + 6)^2 + (y-7)^2 = 81\)....(1)
Equation of the circle: The general equation of the circle with the center (a,b) and the radius r is represented by,
\((x-a)^2+(y-b)^2=r^2\)...(2)
We can write the given equation as,
\((x + 6)^2 + (y-7)^2 = (9)^2\)
Comparing equations (1) and (2) we get,
The Centre of the given circle is \((-6,7)\)
The radius of the given circle is 9 units.
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Help help math please please
Answer:
x = 42
Step-by-step explanation:
2x + 8 + 2x + 4 = 180
4x + 12 = 180
4x = 168
x = 42
In A container, there are red, blue and green balls. 3/11 of ball s are red There are 35 more blue balls than red balls. The remaining 90 balls are green. How many more blue balls than green balls are there? of the balls are red.
√2 (2-2√10) how do you simplify
Answer:
2√2- 4√5
Step-by-step explanation:
√2 (2-2√10)
2√2- 2√20
2√2- 2√(4*5)
2√2- 2*2√5
2√2- 4√5
Referring to the figure, the two rectangles shown have
equal areas. Find the value of x.
Answer:
x = 2
Step-by-step explanation:
the area (A) of a rectangle is calculated as
A = length × breadth
given the rectangles have equal areas then equating the two areas gives
4x × 9 = 4(6x + 6) , that is
36x = 24x + 24 ( subtract 24x from both sides )
12x = 24 ( divide both sides by 12 )
x = 2
Mason is turning 5 years old next Saturday. He has picked sidewalk chalk and a helium balloon to give to each of his friends who come to his party. His dad
has a coupon for $10 off of any purchase over $25 at the party supply store. If sidewalk chalk cost $3.29 and balloons cost $1 each, how much did his dad pay
for the favors for 10 of Mason's friends and 1 of each for Mason as well?
Mason's dad paid $36.19 for the chalk and the balloons
Mason's dad paid $47.19 for the chalk and balloons,
Mason's dad paid $37.19 for the chalk and balloons.
Mason's dad paid $26.19 for the chalk and the balloons.
Tytoth
012
NEXT
SAVE & EXIT
BI
614 PM
10/24/2021
Answer:
dad paid 37.19
Step-by-step explanation:
the bookstore sold 8 books for 66$ at that rate how much would one book be.
Find the z-score corresponding to the given value and use the z-score to determine whether the value is unusual. Consider a score to be unusual if its z-score is less than -2.00 or greater than 2.00. Round the z-score to the nearest tenth if necessary. A test score of 48.4 on a test having a mean of 66 and a standard deviation of 11. Select one:
-1.6; unusual
-17.6; unusual
-1.6; not unusua
l 1.6; not unusual
The z-score of -1.6 is less than 2.00 but greater than -2.00.
Hence, we can conclude that the value is not unusual.
The correct answer is: -1.6; not unusual.
When we are given a test score of 48.4 on a test that has a mean of 66 and a standard deviation of 11,
we need to find the corresponding z-score and determine whether the value is unusual or not.
The formula for calculating z-score is:
z = (x - μ) / σ
Where, z is the z-score, x is the raw score, μ is the mean, and σ is the standard deviation.
Substituting the given values in the formula, we get: z = (48.4 - 66) / 11z = -1.6
Therefore, the z-score corresponding to the given value is -1.6.
Now, we need to determine whether this value is unusual or not.
A score is considered unusual if its z-score is less than -2.00 or greater than 2.00.
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Students in an introductory college economics class were asked how many credits they had earned in college, and how certain they were about their choice of major. Their replies are summarized below.
Degree of Certainty
credits earned very uncertain Somewhat Certain very certain Row tot
under 10 24 16 6 46
10 through 59 16 8 20 44
60 or more 2 14 22 38
col total 42 38 48 128
Under the assumption of independence, the expected frequency in the upper left cell is:__________.
A. 2.47
B. 14.56
C. 2.00
D. 11.09
This question is incomplete, the complete question is;
Students in an introductory college economics class were asked how many credits they had earned in college, and how certain they were about their choice of major. Their replies are summarized below.
credits earned very deg.of certainty very Row Total
uncertain somewhat certain certain
under10 24 16 6 46
10 through 59 16 8 20 44
60 or more 2 14 22 38
col total 42 38 48 128
Under the assumption of independence, the expected frequency in the upper left cell is:__________.
A. 12.47
B. 14.56
C. 2.00
D. 11.09
Answer:
Under the assumption of independence, the expected frequency in the upper left cell is 12.47
Option A) 12.47 is the correct Option
Step-by-step explanation:
Given the data in table in the question;
the expected frequency in the upper left cell will be;
Eij = (Ti × Tj) / N
Row total Ti = 38
Column total Tj = 42
Total frequency N = 128
so we substitute
Eij = (38 × 42) / 128
= 1596 / 128
= 12.468 ≈ 12.47
Therefore Under the assumption of independence, the expected frequency in the upper left cell is 12.47
Option A) 12.47 is the correct Option
find the percent decrease. round to the nearest percent from 13 friends to 14 friends
13 friends make up 48.1%
14 friends make 51.8%
51.8-48.1 = 3.7
3.7% decrease
What is 2x2 + 1000 x 1000
Answer: 2x2 + 1000 x 1000 = 1000004
Step-by-step explanation: you add on 5 0's to the one and 2x2 = 4 so add on the 4 also
Answer:
1000004
Step-by-step explanation:
First we do can separate it into the parentheses: (2*2) + (1000*1000)
= 4 + 1000000
= 1000004
find the square root of 3.6 upto 2 decimal places. *With Solution I need*
Answer:
The square root is 1.90
Step-by-step explanation:
Given
\(x = \sqrt{3.6}\)
Required
Find x
Express 3.6 as 36/10
So, we have:
\(x = \frac{\sqrt{36}}{\sqrt{10}}\)
This gives
\(x = \frac{6}{\sqrt{10}}\)
Rationalize
\(x = \frac{6}{\sqrt{10}}*\frac{\sqrt{10}}{\sqrt{10}}\)
\(x = \frac{6\sqrt{10}}{10}\)
Using a calculator
\(\sqrt{10} \approx 3.16\)
So, we have:
\(x = \frac{6*3.16}{10}\)
\(x = \frac{18.96}{10}\)
\(x = 1.896\)
Approximate
\(x = 1.90\)
If a driver drives at a constant rate of 38 miles per hour, how long would it take the driver to drive 247 miles?
Simplify
8!/(8-2)
A. 720
b. 0.018
C. 8
d. 56
e. 40320
f. 1.333
Answer:
D) 56
Step-by-step explanation:
\(\displaystyle \frac{8!}{(8-2)!}=\frac{8!}{6!}=\frac{8*7*6*5*4*3*2*1}{6*5*4*3*2*1}=8*7=56\)
Which expression uses the GCF and the Distributive Property to create an equivalent expression to
12 + 24?
A
4 ( 3 + 6)
B
6 ( 2 + 4)
C
2 ( 6 + 12)
D
12 ( 1 + 2)
Answer:
D
Step-by-step explanation:
The greatest common factor of 12 and 24 is 12. The only option which accounts for this is D.
The domain of the function f(x)=−3x is restricted to the negative integers. Which values are elements of the range?
answer
\(fx = - 3x \\ \frac{fx}{x} = - \frac{3x}{x} \\ f = - 3\)
Answer:
learning only kang po yan
Step-by-step explanation:
basa lang
A file that is 236 megabytes is being downloaded. If the download is 19.3% complete, how many megabytes have been downloaded? Round your answer to the nearest tenth.
Answer:
18.3% x 238 megabytes
0.183 x 238 = 43.554 megabytes = 43.6 megabytes (rounded to the nearest tenth) or 43.55 (rounded to the nearest hundredth).
Step-by-step explanation:
How many grids would you need to represent 4.5 divided by .5
We need 9 grids to represent 4.5 divided by 0.5.4
Given, that we have to find the number of grids to represent 4.5 divided by the 0.5
Now, to find the number of grids,
we have to divide the number 4.5 by the number 0.5
On dividing, we get
4.5/0.5
= 9
So, 9 grids are the number of grids required to represent 4.5 divided by 0.5.
Hence, we need 9 grids to represent 4.5 divided by 0.5.
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Last month, a printing company printed $56,000.00 worth of books. This month, they printed $63,000.00 worth of books. What is the percent increase in their printing?