Answer:
Solving the system of equations we get:
x=2, y=4, z=-2
Step-by-step explanation:
We need to solve the system of equations
[tex]2x - y + 3z = -6\\-x + 2y - 3z = 12\\y + 5z = -6[/tex]
Let:
[tex]2x - y + 3z = -6--eq(1)\\-x + 2y - 3z = 12--eq(2)\\y + 5z = -6--eq(3)[/tex]
First we find value of y from equation 3
[tex]y+5z=-6\\y=-6-5z[/tex]
Put value of y in equation 1
[tex]2x - y + 3z = -6\\2x-(-6-5z)+3z=-6\\2x+6+5z+3z=-6\\2x+8z=-6-6\\2x+8z=-12---eq(4)[/tex]
Now, put value of y in equation 2
[tex]-x + 2y - 3z = 12\\-x+2(-6-5z)-3z=12\\-x-12-10z-3z=12\\-x-13z=12+12\\-x-13z=24--eq(5)[/tex]
Multiply equation 5 with 2 and add both equations 4 and 5
[tex]2x+8z=-12\\-2x-26z=48\\--------\\-18z=36\\z=\frac{36}{-18}\\z=-2[/tex]
So, we get z=-2
Now put value of z in equation 3
[tex]y+5z=-6\\y+5(-2)=-6\\y-10=-6\\y=-6+10\\y=4[/tex]
So, we get y=4
Now, put value of y=4, and z=-2 in equation 1
[tex]2x-y+3z=-6\\2x-4+3(-2)=-6\\2x-4-6=-6\\2x-10=-6\\2x=-6+10\\2x=4\\x=\frac{4}{2}\\x=2[/tex]
So, solving the system of equations we get:
x=2, y=4, z=-2
An object is launched on the moon at 16 feet per second (f/s) from a 1152-foot tall tower. The equation for the object's height s at time t seconds after launch is
s(t) = -16t^2 + 16t + 1152, where s is in feet. When does the object strike the moon’s surface and why?
Answer:
0.5seconds later
Step-by-step explanation:
Given the height modeled by the equation:
s(t) = -16t^2 + 16t + 1152
The velocity of the object at the moon surface is zero
ds(t)/dt = 0
ds(t)/dt = -32t + 16
0 = -32t + 16
32 t = 16
t = 16/32
t = 1/2
t = 0.5seconds
Hence the object strikes the moon surface 0.5seconds later
What is the measure of AC⏜?
Step-by-step explanation:
Angle at Center = 2 * Angle at Circumference
Let O be the center of the circle.
By using segment AC,
Angle AOC = 2 * Angle ABC = 2 * 75° = 150°.
Therefore the measure of arc AC is 150°.
Jocelyn estimates that a piece of wood measures 5.5 cm. If it actually measures 5.62 cm, what is the percent error of Jocelyn's estimate?
O 2.13%
O 2.18%
O 12%
O 46.83%
Katie owns 2 2/3-acres of land. She divided the land into 1/3-acre lots. How many lots did Katie have?
Answer:
8 lots
Explanation:
1/3 into 2 2/3 is just division which is 8 lots
anyone know this geometry question ?
Step-by-step explanation:
Angle ADB + Angle BDC = 90° (right angle)
Since Angle ADB = Angle BDC,
Angle BDC = 90° / 2 = 45°.
Need ASAP
Mia has earned $43.94 of tokens playing games at the amusement center. The store in the amusement center has the following toys for sale. She plans to get toys and donate them to a local charity for needy children. The tokens are only good in this store, so she plans to spend all the tokens. What combinations of toys can she buy in order to spend all the tokens
Answer:
if she buys 12 things with her 43.94 dollars she will have in the end witch is after she spends her money she will have a 1 dollar and 4 cent
Step-by-step explanation:
so she had 43.94 dollars she can by with it she can buy with it 12 things she can buy a yoyo a doll a duckie a tractor a airplane a ball a racecar a dog a car a elephant and the last thing she can buy is a whistle
What is the width of Averi's area model? (See picture)
Answer:
Width = x² + 5x - 4
Step-by-step explanation:
By the definition of an area model,
Area = Width × greatest common factor
Since, Area = 4x² + 20x - 16
And greatest common factor = 4
4x² + 20x - 16 = 4(Width)
By dividing both the sides of the equation by 4,
[tex]\frac{4x^2+20x-16}{4}=\frac{4(\text{Width})}{4}[/tex]
x² + 5x - 4 = Width
Therefore, width = (x² + 5x - 4) will be he answer.
If you can get this before I do I'll give brainliest
Answer:
The answer is B
Step-by-step explanation:
hope this helps,
please give brainliest if you like my answer,
have a great day
Using the following national income accounting data, compute (a) GDP, (b) NDP, and (c) NI. All figures are in billions. Category Value Compensation of employees $196.2 U.S. exports of goods and services 19.8 Consumption of fixed capital 11.8 Government purchases 59.4 Taxes on production and imports 14.4 Net private domestic investment 52.1 Transfer payments 13.9 U.S. imports of goods and services 16.5 Personal taxes 40.5 Net foreign income 2.2 Personal consumption expenditures 219.1 Statistical discrepancy 0.0 Instructions: Round your answers to one decimal place. a. GDP = $ billion b. NDP = $ billion c. National Income = $ billion
Answer:
(a) GDP = $333.9 billion
(b) NDP = $322.1 billion
(c) NI = $307.7 billion
Step-by-step explanation:
(a) Compute GDP
This can be computed using the following formula:
GDP = Gross Domestic Product = Personal consumption expenditure + net private domestic investment + government purchases + (US exports of goods - US Imports of goods) ......... (1)
Substituting the values into equation (1), we have:
GDP = $219.1 + $52.1 + $59.4 + ($19.8 - $16.5) = $333.9
Since all figures are in billions, we have:
GDP = $333.9 billion
(b) Compute NDP
This can be computed using the following formula:
NDP = Net domestic product = GDP - Consumption of fixed capital ................... (2)
Substituting the values into equation (2), we have:
NDP = $333.90 - $11.8 = $322.1
Since all figures are in billions, we have:
NDP = $322.1 billion
(c) Compute NI
This can be computed using the following formula:
NI = National Income = NDP - Taxes on production and imports - Statistical discrepancy ........... (3)
Substituting the relevant values into equation (3), we have:
NI = $322.1 - $14.4 - $0.0 = $307.7
Since all figures are in billions, we have:
NI = $307.7 billion
Tamara goes on a spring break trip with her school to visit historical sites in Italy. She purchases $200 of souvenirs while on the trip. She gets back to the U.S. and opens her credit card statement. What will be the balance in her account, assuming she had a zero balance prior to making these purchases and didn't make any other purchases?
This question is solved using the concept of balance, and doing this, we get that:
The balance in her account will be of -$200.
Balance:
The balance of a credit card is given by the sum of all the earnings subtracted by all the spending.
Tamara:
Initial balance: $0
Purchases: $200
Earnings: $0
Subtracting earnings by purchases:
0 - 200 = -$200
The balance in her account will be of -$200.
A similar question is given at https://brainly.com/question/13280700
HELP PLEASEE :D Ahshsjdhjsbdj
Answer: 42
Step-by-step explanation:
Answer:
The answer is option D: 42.
Step-by-step explanation:
First we have to understand that for every 20 students there is one teacher we can find this form the ratio 20:1. Then we are given that there are 840 students. That means for every 20 students in the 840 there is one student. And, 840 divided by 20 equals 42. (please give brainliest)
2802 ? 1811 ? 123 ? 441 ? 3633 ? 1/3 ? 32^2 ? 205
Fill in mathematical symbols
Answer:
The mathematical symbols that are filled in between the numbers to make it a true equation are the multiplication signs.
Step-by-step explanation:
This questions implies that there is a need to fill in mathematical symbols that will this a true a equation.
A true equation can be described as situation whereby there the same values on the either sides of the equal sign "=". For instance, 5 + 1 = 6 is a true equation. Also, 4 * 2 = 8 is a true equation.
As regards this question, the mathematical symbols that are filled in between the numbers to make it a true equation are the multiplication signs. When the multiplication signs are filled in between the numbers, we have the following true equation:
2802 * 1811 * 123 * 441 * 3633 * 1/3 * 32^2 * 205 = 69,972,637,305,761,000,000
Multiply (1+3i)(2+6i)
Please show work
Step-by-step explanation:
(1+3i)(2+6i)
1(2+6i)+3i(2+6i)
2+6i+6i+18i²
2+12i+18i²
hope it helps.
Find the equation of the line specified. The line passes through the points
( 2, 1) and ( 5, 4)
a. y = x + 1
b. y = -X - 1
c. y = x -1
d. y = x + 3
Please select the best answer from the choices provided
Answer:
c
Step-by-step explanation:
substitute (2,1) and (5,4) into each equation
2-1=1 and 5-4=1 so c is correct
A rectangular living room has an area of 425 ft.² the width of the room is 17 feet
What is the slope in slope-intercept form for these graphs?
Answer:
Step-by-step explanation:
for this graph find rise over run , and where the line crosses they y axis.. sooo ..
it crosses at -2 and the slope is rise over run or y/x and I can see by the graph that the line goes up 1 when it goes over 1... so the slope is +1
sooo...
use the slope intercept form y = mx + b
y = 1x + (-2)
y = x - 2 :)
a line has a slope of -1/2 and a y-intercept of -2. what is the x-intercept of the line?
Answer:
-4
Step-by-step explanation:
If the sides of a square measure 9 3units, then find the length of the diagonal.
what should i eat for lunch and also what is 25 to the power of 6 ? ill give brainly if u awnser both
Answer:a samichhh and 244,140,625
Step-by-step explanation:
1. Billy's Bagels sells bagels and sandwiches. The profit on every bagel is $2 and
the profit on every sandwich is $3. Billy made a profit of $1,560 last week.
a. Write an equation in standard form that represents Billy's profits last week,
where x is the number of bagels sold and y is the number of sandwiches sold.
Your answer
b. Change the equation for Billy's profit to slope-intercept form.
Your answer
c. Write the equation in function notation.
Your answer
Answer: a. 2x + 3y = 1560
b. y = -2x/3 + 520
c. f(x) = -2x/3 + 520
Step-by-step explanation:I had the same one and I put down random I’m glad you posted this today so I didn’t forget
how many zeros does f have? explain how you know
Figure ABCD is a kite. Find the
value of x.
Answer:
x=20
Step-by-step explanation:
(triangle angles must add up to 180º)
2x+10+2x+90=180
4x+100=180
4x=80
x=20
Andrew and Kate have $30 to spend on dinner tax and gratuity at Moe's restaurant tax is 6% and they will give a 50% tip on the total bill after taxes their dinner cost $21 which statement correctly explains whether Andrew and Kate have enough money to pay their bill
help asap no trolls!!
Answer:
D
Step-by-step explanation:
if you divide 15 and 108 it will give you get 7.7 but if you do 14 by 108 its 7.2 or 3 but still it would be D
You earn 255 points for defeating 85 enemies. How many points do you earn for defeating 16 enemies
Answer:
48 points
Step-by-step explanation:
255/85=3
16X3=48
HELP ME PLZ
m + 3 >= 14 then complete the inequality m-6 >
please help I don't understand
WILL GIVE BRAINLIEST
Answer: 1.) c
Step-by-step explanation: you have to give the games and rides a variable ( x and y)
An elevator is traveling underground at a constant rate. The equation y=−2x−10 can be used to represent this situation, where y is the position of the elevator underground in feet and x is the number of seconds the elevator has been traveling.
Which statement best describes the position of the elevator, given this equation?
(a)From a starting position of 2 feet underground, the elevator is descending 10 feet per second.
(b)From a starting position of 10 feet underground, the elevator is ascending 2 feet per second.
(c)From a starting position of 10 feet underground, the elevator is descending 2 feet per second.
(d)From a starting position of 2 feet underground, the elevator is ascending 10 feet per second.
Giving brainliest
Answer:
c is correct
Step-by-step explanation:
I hope this helped have a good day
1/8 ___ 2/16 ___ 4/24
>; =
=;
=;=
Answer:
[tex]\frac{1}{8} = \frac{2}{16} < \frac{4}{24}[/tex]
Step-by-step explanation:
Since [tex]\frac{1}{8}[/tex] is already simplified, we do not need to change it in any way. Comparing it with [tex]\frac{2}{16}[/tex], which after simplifying is [tex]\frac{1}{8}[/tex], we can see that they are the same. Therefore, [tex]\frac{1}{8} = \frac{2}{16}[/tex].
Now. we compare [tex]\frac{2}{16}[/tex] with [tex]\frac{4}{24}[/tex]. We have already established that [tex]\frac{2}{16}[/tex] is [tex]\frac{1}{8}[/tex], so all we have to do is to simplify [tex]\frac{4}{24}[/tex] and compare it with [tex]\frac{1}{8}[/tex]. Simplifying [tex]\frac{4}{24}[/tex], we get [tex]\frac{1}{6}[/tex], which is larger than [tex]\frac{1}{8}[/tex]. Therefore, [tex]\frac{2}{16} < \frac{4}{24}[/tex].
Hope this helped!
HELP ASAP ILL GIVE BRAINLIST
Answer:
(C) A diation followed by reflection
Step-by-step explanation:
if you dialate a shape then that shape can not be congruent to the previous one because it is not the same size, so it is similar but not congurent