Answer:
o b
Step-by-step explanation:
solve using gaussian elimination and show ur work
2y + z = -8
x - 2y - 3z = 0
-x + y + 2z = 3
Add the last two equations to eliminate x :
(x - 2y - 3z) + (- x + y + 2z) = 0 + 3
- y - z = 3
y + z = -3
Subtract this from the first equation to eliminate z, then solve for y :
(2y + z) - (y + z) = -8 - (-3)
y = -5
Plug this into the first equation to solve for z :
2(-5) + z = -8
z = 2
Plug both of these into either the second or third equations to solve for x :
x - 2(-5) - 3(2) = 0
x = -4
Convert 173 Degrees Celsius to Kelvin. Type your answer in number form without the K symbol.
Answer:
446.15
Step-by-step explanation:
C + 273.15 = K
So 173C + 273.15 = 446.15K
in 2005 the san francisco bay times reported on a poll in new zealand that found that new zealanders opposed the nation`s new gay-inclusive civil-unions law by a 3-1 ratio. This poll was a call-in poll that cost $1 to participate in, The san francisco bay times article also reported that a scientific polling organization found that new zealanders favor the law by margin of 56.4% to 39.3%. explain to someone who knows no statistics why the two polls can give such a widely differing results and which poll is likely to be be more reliable
Answer:
In the given data reported poll on a new Zealand.
The article reported that new Zealanders favors the law by a margin of 56.4% to 39.3%
These difference in results in which poll is likely to be more reliable is that the San Francisco Bay Times utilized the Voluntary Response technique ( Voluntary reaction strategy is self chosen technique, it's kin decision whether to give reaction or not). So the two surveys can give such generally varying outcomes.
Thus their survey results can't be viewed as dependable
A cuboid measures 60cm by 40cm by 20cm.
a) Find the area of the largest face in cm 2 and m 2 .
b)Calculate the volume of the cuboid in cm 3 and m 3 .
Answer:
a) The area of the largest face = 2400 cm², The area of the largest face = 0.24 m²
b) The volume of the cuboid = 48000 cm³, The volume of the cuboid = 0.048 m³
Step-by-step explanation:
The volume of any cuboid = L × W × H, where
L is its length
W is its width
H is its height
∵ A cuboid measures 60 cm by 40 cm by 20 cm.
→ Assume that L = 60 cm, W = 40 cm, H = 20 cm
a)
∵ The largest face is the face who has the largest dimensions
∵ L and W are the largest dimensions
∴ The area of the largest face = L × W
∴ The area of the largest face = 60 × 40
∴ The area of the largest face = 2400 cm²
∵ 1 cm = 1/100 m
∴ 1 cm² = (1/100)² m² = 1/10000 m²
∴ The area of the largest face = 2400 × 1/10000
∴ The area of the largest face = 0.24 m²
b)
∵ The volume of the cuboid = L × W × H
∴ The volume of the cuboid = 60 × 40 × 20
∴ The volume of the cuboid = 48000 cm³
∵ 1 cm = 1/100 m
∴ 1 cm3 = (1/100)³ m³ = 1/1000000 m³
∴ The volume of the cuboid = 48000 × 1/1000000
∴ The volume of the cuboid = 0.048 m³
2/3 X + 5 = 17
Need it plzzz
Answer:
your answer would be idspkdijajsljfpajs[r
Step-by-step explanation:
because if u add [tex]2/3 +5 = 17[/tex] it would be idspkdijajsljfpajs[r
Calculate the area of Circle X if the diameter is 13 inches
Answer:
132.73
Step-by-step explanation:
A=πr^2
13/2 to get the radius =6.
A student survey was conducted at a major university, and data were collected from a random sample of 750 undergraduate students. One variable that was recorded for each student was the student's answer to the question: "What region of the country did you live in just prior to enrolling in this university? Northeast/Southeast/Northwest/Southwest/Midwest/Outside the U.S." These data would be best displayed using which of the following?
a. Pie Chart
b. Histogram
c. InterQuartile Range
d. Stemplot
e. Boxplot
Answer:
Pie Chart
Step-by-step explanation:
The pie chart is a circular representation of data. It is divided into slices in order to show the distribution of data presented.
In a pie chart, the angle subtended by each slice is proportional to the magnitude of data represented.
Pie charts are most useful in the representation of categorical data such as the region of the country in which a student lived prior to enrolling in the university.
Where is the point (0, -1) ?
• x-axis • origin
• y-axis
Answer:
A. x-axis
Step-by-step explanation:
Beacuse the 0 is in the x spot, (x,y)
Hannah has 67.32 centimeters of wire. She uses 2 pieces of the wire.
Each piece she uses is 14.43 centimeters long. What is the length of
the remaining wire, rounded to the nearest tenth of a centimeter? (Only
round your final answer.)
Answer:
38.46 (Rounded: 38.5)
Step-by-step explanation:
67.32-2(14.43)=38.46
The height above the surface of the Earth (in meters) of a rock thrown into the air at 10 m/s after x seconds is given by f(x)=-9.8x^2+10x+1.5. On the surface of the moon, the height is given by g(x)=-1.6x+10x+1.5. How much higher does the rock travel on the moon than on Earth?
How much higher does the rock travel on the moon than on Earth? (Round to the nearest tenth if needed)
Answer:
The answer is 13.1
Step-by-step explanation:
Hello! Hope u still need the answer but the answer for the question above is "13.1"! How did I got the answer you ask? I'll show u! :)
The maximum height of the rock represents the vertex of a parabola. Recall that the x-coordinate of the standard form quadratic function f(x)axbxc is given as x
Hope this help you! I got the answer wrong but and waiting for an answer but it's best if u learn from your mistakes and ask for help! :)
The rock travels 8.2x² meters higher on the Moon than on Earth.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
The height above the surface of the Moon is given by g(x) = -1.6x² + 10x + 1.5.
The height above the surface of the Earth is given by f(x) = -9.8x²
+ 10x + 1.5.
To find the difference in height between the two, we can subtract the Earth equation from the Moon equation:
g(x) - f(x) = (-1.6x² + 10x + 1.5) - (-9.8x² + 10x + 1.5)
Which simplifies to:
g(x) - f(x) = 8.2x²
Therefore, the rock travels 8.2x² meters higher on the Moon than on Earth.
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La figura mostrada se dividió en tres partes iguales para calcular su área.
Completa el esquema que representa la situación.
Anota la expresión que contiene las operaciones mostradas en el esquema, resuélvela y verifica que obtienes el mismo resultado
Answer:
El área de un rectángulo de largo L y ancho A es: L*A.
El área de un triangulo de alto H y base B es: H*B/2.
Ahora veamos las tres figuras:
Rectángulo amarillo:
Largo = 40m
Ancho = 45m
Área = 40m*45m = 1800 m^2
Rectángulo blanco:
Largo = 40m
Ancho = 35m
Área = 40m*35m = 1400m^2
Triangulo azul:
Base = 35m
Alto = 50m
Área = 35m*50m/2 = 875m^2
Area total = 1800 m^2 + 1400m^2 + 875m^2 = 4075m^2
How many whole numbers are there up to 100, including 100?
Answer:
100
Step-by-step explanation:
because... LOGIC
What is the difference of (5 + 3i) and (2 + 9i)?
Answer:
3+12i
Step-by-step explanation:
The difference of 5+3i and 2 + 1999 can be calculated as follows
= 5+3i - 2+9i
Collect the like terms
= 5-2+3i+9i
= 3+12i
Hence the difference of 5+3i and 2+9i is 3+12i
It was 12°F when Calvin went outside to check the
temperature on Saturday evening. When Calvin went
outside to check the temperature on Sunday morning, the
temperature had fallen 29°F. What was the temperature
when Calvin went outside on Sunday morning?
Solve for t.
-t = 9(t-10)
pls help
Answer:
9
Step-by-step explanation:
help pls help help help
What is the dominant emotional element in a cultural practice called?
Answer:
Ideal Culture
Mrs. Jameson paid $202.50 for a group of 9 students to visit an amusement park.
Answer:
$292.5
Step-by-step explanation:
First you have to find x:
202.50 = 9x
x= 202.5/9
x= 22.5
------------------------------------------------------------------
Now you have to add the 4 students, or 4x
y=9x + 4x
y = 13x
y = 13(22.5)
y = 292 . 5
Hope this helps!!!
The equation for the total cost is y = 22.5x, and the total cost of four more students joining the group is $292.50.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
It is given that:
Mrs. Jameson paid $202.50 for a group of 9 students to visit an amusement park.
Each student cost = 202.50/9 = $22.5
Total cost equation(y):
y = 22.5x
Here x is the number of students.
Plug x = 4 in the equation y = 22.5x
y = 22.5(4)
y = $90
Total cost = 90 + 202.50 = $292.50
Thus, the equation for the total cost is y = 22.5x, and the total cost of four more students joining the group is $292.50.
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Convert 9% to a fraction.
Answer:
9/100
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
9%/100=9
so it should be 9.
Choose all the fractions that are equivalent to 1/7 click all that apply
Answer:
You don't have a picture or tell us what the fractions are. However, some examples of equivalent fractions are 2/14 3/21 and 4/28.
Step-by-step explanation:
State whether the percent of change is a percent of increase or a percent of decrease. Then find the percent of change. Round to the nearest whole percent. original: 84, new: 96
Answer:
Then we divide that amount by the original older value and get 1.3035. Now we must convert that number
7-c<1 ?? HELPPPP!!!MEEEeee
Answer:
c>6, since a negative coefficient reverses the sign
Step-by-step explanation:
7-c<1
-c<-6
c>6
A pound of chocolate cost 7 dollars. Ryan buys p pounds. Write an equation to represent the total cost c that Ryan pays.
Answer:
c = 7p
Step-by-step explanation:
Stephanie ordered the cheese omelet, a coffee, and a side of toast. How much does she owe, not including tax
Answer:
depends on how much it cost
Step-by-step explanation:
but id asuume shed owe some money
PLZZZ HELPPP THIS IS DUE!!
This is a story problem. You may use the method of your choice to solve the problem. (substitution, combination, elimination )
The sum of 2 numbers ( x and y ) is +12
The difference of the same 2 numbers is -4
1. Which method will you use and why?
2. How will you set up the equation needed to solve?
3. What is the solution expressed as an ordered pair? (x,y)
Answer:
y=3x-2..... i
x-y=4...... ii
x-4=y
Substituting the value of y in equation i,
x-4=3x-2
2-4=3x-x
-2=2x
x=-1.
From ii,
-1-4=y
y=-5.
x=-1, y=-5
Step-by-step explanation:
brainest please
Alice solved the following equation:
-18 - 3x = 12
-3x = 6
x =-2
Which of the following statements is true?
Answer:
the first line
Step-by-step explanation:
because the second line should be -3x=30
Internet Audience At the end of a certain year, the four companies with the largest number of home Internet users in the United States were Microsoft, Time Warner, Yahoo, and Google, with a combined audience of 284 million users. Taking x to be the Microsoft audience in millions, y the Time Warner audience in millions, z the Yahoo audience in millions, and u the Google audience in millions, it was observed that
z − u = 3(x − y) + 12
x + y = 50 + z + u
and x − y + z − u = 48.
How large was the audience of each of the four companies at the end of that year? Microsoft
Time Warner
Yahoo
Google
Answer:
Microsoft = 89.5 million
Time Warner = 77.5 million
Yahoo = 82.5 million
Google = 34.5 million
Step-by-step explanation:
Given
z − u = 3(x − y) + 12
x + y = 50 + z + u
x − y + z − u = 48.
From the question, we also understand that
u + x + y + z = 284
Required
Solve for u, x, y and z
Substitute 3(x - y) +12 for z - u in the third equation
x − y + z − u = 48.
(x - y) + 3(x - y) = 48
4(x - y) = 48
Divide both sides by 4.
x - y = 12
Make z + u the subject of formula in u + x + y + z = 284
z + u = 284 - (x + y)
Substitute 284 - (x + y) for z + u in the second equation
x + y = 50 + z + u
x + y = 50 + 284 - (x + y)
(x + y) + (x + y) = 50 + 284
2(x + y) = 334
Divide both sides by 2
x + y = 167
Make x the subject of formula
x = 167 - y
Substitute 167 - y for x in x - y = 12
167 - y - y = 12
167 - 2y = 12
-2y = 12 - 167
-2y = -155
2y = 155
y = 77.5
Solve for x in x = 167 - y
x = 167 - 77.5
x = 89.5
Recall that:
z − u = 3(x − y) + 12
z + u = 284 - (x + y)
Substitute the values of x and y in the above expressions.
z − u = 3(x − y) + 12
z - u = 3(89.5 - 77.5) + 12
z - u = 3(12) + 12
z - u = 36 + 12
z - u = 48
Make z the subject
z = 48 + u
Similarly,
z + u = 284 - (x + y)
z + u = 284 - (89.5 + 77.5)
z + u = 284 - 167
z + u = 117
Substitute 48 + u for z
48 + u + u = 117
48 + 2u = 117
2u = 117 - 48
2u = 69
u = 34.5
Substitute 34.5 for u in z = 48 + u
z = 48 + 34.5
z = 82.5
The size of audience of each of the four companies at the end of that year are;
Micro-soft = 89.5 million
Time Warner = 79.5 million
Yah oo = 34.5 million
Goo gle = 82.5 million
We are given the equations;
z − u = 3(x − y) + 12 ----(1)
x + y = 50 + z + u ----(2)
x − y + z − u = 48 ----(3)
Now, we are told that the combined 4 audience is 284 million users. Thus;
u + x + y + z = 284 ----(4)
Put 3(x − y) + 12 for z - u in the eq 3 to get;
(x - y) + 3(x - y) = 48
x - y + 3x - 3y
4x - 4y = 48
Divide both sides by 4 to get;
x - y = 12 ----(5)
Make z + u the subject of formula in eq 4 to get;
z + u = 284 - (x + y) ---(4b)
Put 284 - (x + y) for z + u in the eq 2;
x + y = 50 + 284 - (x + y)
x + y = 334 - x - y
Add x + y to both sides to get;
x + y + x + y = 334
2x + 2y = 334
Divide both sides by 2 to get;
x + y = 167 -----(6)
Add eq 5 to eq 6 to get;
2x = 167 + 12
2x = 179
x = 179/2
x = 89.5
Put 89.5 for x in eq 6 to get;
89.5 + y = 167
y = 167 - 89.5
y = 77.5
Put the values of x and y in eq(1) and eq(4b) to get;
z - u = 3(89.5 - 77.5) + 12
z - u = 48 ---(7)
Also,
z + u = 284 - (89.5 + 77.5)
z + u = 117 ---(8)
Add eq 7 to eq 8 to get;
2z = 165
z = 165/2
z = 82.5
Put 82.5 for z in eq 8 to get;
82.5 + u = 117
u = 117 - 82.5
u = 34.5
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A farmer decides to sell 16 pounds of his 48 pound crop. What percent of his crop did he sell?
Answer:
33%
Step-by-step explanation:
he sold 1/3
Wally and Mike install swimming pools in the summer in a town. They are building a swimming pool that measures 14-1/2 feet wide and 23-1/2 feet long.
(a) At the outside edge of the pool is a protective fence. How many feet of fencing would be needed to surround the pool area?
(b) Kevin discovers that he can buy a packaged box of 90 feet of fencing for $950 or he can buy cut-to-order fencing that costs $12.40 per foot. Which type of fencing should he buy? How much money does he
save?
(a) They will need_____feet of fencing
(Type an integer, proper fraction, or a mixed number)
Answer:
(a) He would need 76 feet of fencing
(b) Kevin should buy the packaged box of 90 feet of fencing for $950.
(c) How much does he save?
For every 1 feet of packaged fencing Kevin buys, he saves $1.94 naira.
Step-by-step explanation:
(a) At the outside edge of the pool is a protective fence. How many feet of fencing would be needed to surround the pool area?
From the question, we are told that the swimming pool measures:
14-1/2 feet wide and 23-1/2 feet long.
Perimeter of a fence = 2(L + W)
= 2( 14-1/2 + 23-1/2)feet
= 76 feet
This means he need 76 feet of fencing.
(b) Kevin discovers that he can buy a packaged box of 90 feet of fencing for $950 or he can buy cut-to-order fencing that costs $12.40 per foot. Which type of fencing should he buy?
If : For cut to order fencing
1 foot = $12.40
76 feet =
Cross Multiply
= 76feet × $12.40/1 foot
= $942.4
This means that the cut to order fencing would cost him $942.40
The packaged box of fencing cost $950 for 90 feet of fencing. This is cheaper than the cut to order fencing and he would have extra feet of fencing(14 feet) .
Therefore, Kevin should buy the packaged box of 90 feet of fencing for $950.
How much money does he save?
For the cut to order box
1 feet = $12.40
For the packaged fence,
90 feet = $950
1 feet = x
= 950/90
= $10.555555556
≈ $10.56
Hence, 1 feet of packaged fence = $10.56
Subtracting $10.56 from $12.40
= $12.40 - $10.56
=$ 1.94
Therefore, for every 1 feet of packaged fencing Kevin buys, he saves $1.94 naira.
This means:
1 feet (packaged fence) = $10.56
76 feet = x
= 76 × $10.56
= $802.56
Which decimal is less than 2.312
Answer:
Decimals less than 2,312 are: Option A, D, E
Step-by-step explanation:
pls mark brainliest