Answer:
c =9.6
Step-by-step explanation:
[tex]-4c - 9.6 +5c = 0\\\\\mathrm{Group\:like\:terms}\\-4c+5c-9.6=0\\\\\mathrm{Add\:similar\:elements:}\:-4c+5c=c\\c-9.6=0\\\\\mathrm{Add\:}9.6\mathrm{\:to\:both\:sides}\\c-9.6+9.6=0+9.6\\\\Simplify\\c=9.6[/tex]
Answer:
c = 9.6
Step-by-step explanation:
Let's look at our equation; - 4c - 9.6 + 5c = 0. Now we need to collect the like terms which are -4c and 5c.
- 4c - 9.6 + 5c = 0
5c - 4c - 9.6 = 0
We get: c - 9.6 = 0
Now we will add 9.6 on each side to see what c is equal to.
c - 9.6 = 0
+9.6 +9.6
c = 9.6
Yay! We got our answer! Nice job everyone!
Solve the system by using elementary row operations on the equations. Follow the systematic elimination procedure
x1+4x2 =11
2x1+7x2=18
Find the solution to the system of equations.
Answer:
The solution of the Given matrix
( x₁ , x ₂ ) = ( - 5 , 4 )
Step-by-step explanation:
Step(i):-
Given equations are x₁+4 x₂ = 11 ...(i)
2 x₁ + 7 x₂= 18 ...(ii)
The matrix form
A X = B
[tex]\left[\begin{array}{ccc}1&4\\2&7\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}11\\8\\\end{array}\right][/tex]
Step(ii):-
[tex]\left[\begin{array}{ccc}1&4\\2&7\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}11\\8\\\end{array}\right][/tex]
The Augmented Matrix form is
[tex][AB] = \left[\begin{array}{ccc}1&4&11\\2&7&18\\\end{array}\right][/tex]
Apply Row operations, R₂ → R₂-2 R₁
[tex][AB] = \left[\begin{array}{ccc}1&4&11\\0&-1&-4\\\end{array}\right][/tex]
The matrix form
[tex]\left[\begin{array}{ccc}1&4\\0&-1\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}11\\-4\\\end{array}\right][/tex]
The equations are
x₁ + 4 x₂ = 11 ...(a)
- x ₂ = - 4
x ₂ = 4
Substitute x ₂ = 4 in equation (a)
x₁ + 4 x₂ = 11
x₁ = 11 - 16
x₁ = -5
Final answer:-
The solution of the Given matrix
( x₁ , x ₂ ) = ( - 5 , 4 )
3x^4-7x^2+11 Expression
Which of the following statements correctly describes the expression below based on its degree and number of terms? 3x^4 - 7x^2 + 11. The expression has four terms and a degree of 6. The expression is a trinomial with a degree of 6. The expression is a trinomial with a degree of 4. The expression has four terms and a degree of 4.
hope this helps!
can somebody help answer this??
Answer:
Heres an Example: X^1 Y^2/ X^2 Y61
Step-by-step explanation:
It's a problem like this I hoped it helped! :3
What is the value of x?
3x
69°
23
32
17
26
Click Save and Submit to save and submit. Click Save All Answers to save all
Answer:
23
Step-by-step explanation:
3x = 69°
This is because they are vertically opposite angles.
You would have to divide 69 by 3.
69 ÷ 3 = 23
23 · 3 = 69
1/25, 1/4 , 0.2 least to greatest
Answer:
1/25 0.2 1/4
Step-by-step explanation:
1/25, 1/4 , 0.2
1/25 = 0.04
1/4 = 0.25
1/25 0.2 1/4
How do you write 582,030 in expanded form
Answer:
500,000 + 80,000 + 2,000 + 30
Look at me, aren't I “acute"! With two of my angles
measuring under 90 degrees, I think it is easy to see.
My third angle helps me stand up straight and keeps
me right and great! What shape am I? Draw me.
Answer:
a acute angle
Lilla wants to replace both question marks with the same number so that the inequalities correctly compare the numbers.
(?>-5 and ?<2)
Answer:
tththtfhhtfhtfttfh
Step-by-step explanation:
tfhtfh
Answer:
0
Step-by-step explanation:
The question is asking for any number between -5 and 2, so you can choose -4, -3, -2, -1, 0, or 1
Given f(x) = 3x-2 and g(x)=-1/2x3, find the following problems
1. F(5).
2. G(8)
3.f(-8)
4.G(-10)
Answer:
f(5)=13 g(8)=12 f(-8)= -26 g(-10)=-15
Step-by-step explanation:
1) 5*3=15
15-2=13
2) 8*.5*3=12
3) -8*3=-24
-24-2= -26
4) -10*.5*3= -15
Lieutenant Commander Data is planning to make his monthly (every 30 days) trek to Gamma Hydra City to pick up a supply of isolinear chips. The trip will take Data about four days. Before he leaves, he calls in the order to the GHC Supply Store. He uses chips at an average rate of seven per day (seven days per week) with a standard deviation of demand of three per day. He needs a 95 percent service probability.
a. If he currently has 40 chips in inventory, how many should he order? (Use Excel's NORMSINV() function to find the correct critical value for the given a-level.)
Number of chips _____
b. What is the most he will ever have to order? (Use Excel's NORMSINV() function to find the correct critical value for the given a-level. )
Maximum order quantity _____
a. The number of chips Data should order to achieve a 95 percent service probability before his trip is 40.
b. The maximum order quantity of chips Data will ever have to order to ensure a 95 percent service probability.
Given:
Lieutenant Commander Data needs a 95 percent service probability for his monthly trip to Gamma Hydra City to pick up iso-linear chips.
The trip takes Data about four days.
Data uses iso-linear chips at an average rate of seven per day (seven days per week).
The standard deviation of demand for iso-linear chips is three per day.
Data currently has 40 chips in inventory.
To find:
a. The number of chips Data should order to achieve a 95 percent service probability before his trip.
b. The maximum order quantity of chips Data will ever have to order to ensure .
Therefore, to determine the order quantity, Data needs to calculate the safety stock using the formula:
Safety Stock = Z x Standard Deviation of Demand
where:
Z is the critical value corresponding to the 95 percent service probability, which can be found using Excel's NORMSINV() function. The order quantity will be the safety stock plus the average daily demand during the trip (four days).For the maximum order quantity, Data should consider the worst-case scenario.
The maximum order quantity will be the safety stock plus the maximum daily demand during the trip (four days) and the current inventory (40 chips).
By calculating these values, Lieutenant Commander Data can ensure a sufficient inventory level and meet the 95 percent service probability during his trip to Gamma Hydra City.
Learn more about service probability here:
https://brainly.com/question/33811154
#SPJ4
The bus fare in a city is People who use the bus have the option of purchasing a monthly coupon book for With the coupon book, the fare is reduced to $0.50. How many times must someone use the bus so that the total monthly cost without the coupon book is the same as the total monthly cost with the coupon book?
Answer:
21
Step-by-step explanation:
The bus fare in a city is $1.50. People who use the bus have the option of purchasing a monthly coupon book for $21.00. With the coupon book, the fare is reduced to $0.50. Determine the number of times in a month the bus must be used so that the total monthly cost without the coupon book is the same as the total monthly cost with the coupon book.
Solution
Let
y = number of bus fares.
Cost of bus fares without coupon book = 1.50y
Cost of bus fares with coupon book = .50y + 21
Equate cost of bus fares without coupon book and cost of bus fares with coupon book
1.50y = .50y + 21
Subtract .50y from both sides of the equation
1.50y - .50y = .50y + 21 - .50y
1.00y = 21
Divide both sides by 1.00
y = 21 / 1.00
y = 21 times
Please help with these problems
Compare this graph to the previous graphs in lesson 1 and 2. Explain how the are different or similar.
Answer:
Hello!
You can compare graphs by looking at their rate of change, and y intercept.
Another way you can compare graphs is that you can see if both graphs' lines intersect. I hope this helps you! :)
Have a nice day! :D
Solve the system of linear equations for x and y.(cos θ)x + (sin θ)y=1(−sin θ)x + (cos θ)y = 0x=y=
Answer:
[tex]\bold{x =cos\theta}\\\bold{y=sin\theta}[/tex]
Step-by-step explanation:
The given system of linear equations is:
[tex](cos\theta)x+(sin\theta)y=1\\(-sin\theta)x+(cos\theta)y=0[/tex]
We have to solve the equations for the values of [tex]x, y[/tex].
Let us use elimination method in which we eliminate one of the variables from the two variables.
For this, let us multiply the first equation by [tex]sin\theta[/tex] and second equation by [tex]cos\theta[/tex]
Now, the equations become:
[tex](cos\theta.sin\theta)x+(sin\theta.sin\theta)y=sin\theta\\\Rightarrow (cos\theta.sin\theta)x+(sin^2\theta)y=sin\theta ....... (1)\\\\(-sin\theta.cos\theta)x+(cos\theta.cos\theta)y=0\\\Rightarrow (-sin\theta.cos\theta)x+(cos^2\theta)y=0 ..... (2)[/tex]
Now, let us add (1) and (2):
[tex](sin^2\theta)y+(cos^2\theta)y=sin\theta\\\Rightarrow (sin^2\theta+cos^2\theta)y=sin\theta\\\Rightarrow (1)y=sin\theta\\\Rightarrow y = sin\theta[/tex]
Using the equation:
[tex](-sin\theta)x+(cos\theta)y=0[/tex]
Putting value of [tex]y[/tex]:
[tex]\Rightarrow (-sin\theta)x+(cos\theta)sin\theta=0\\\Rightarrow (sin\theta)x=(cos\theta)sin\theta\\\Rightarrow x = cos\theta[/tex]
So, the answer to the system of linear equations is:
[tex]\bold{x =cos\theta}\\\bold{y=sin\theta}[/tex]
Michael bought 160 hot dogs for an eating competition. He spent $240 in all. How much did each hot dog cost?
Answer:
$1.5
Step-by-step explanation:
[tex]160\:hot\:dogs = \$240\\1 \: hot \:dog = \$x\\\\160x = 240\\\\\frac{160x}{160} = \frac{240}{160} \\\\x = \$1.5[/tex]
find the inverse of each of the given function f(x)=4x-2
Answer:
y= x-2 /4
Step-by-step explanation:
x=4y+2
4y=x-2
answer:
y= x-2 / 4
what is the reciprocal of 4 over 5
3x+4y=15+6y solve for y (PLZ HURRY)
Answer:
Subtract 4y from both sides of the equation.
A restaurant has 6 1/2 pies in the refrigerator. If it sells 1 3/4 pies each day , how many days will the pies last?
Answer:
[tex]\boxed{3}[/tex]
Step-by-step explanation:
[tex]6\frac{1}{2} /1\frac{3}{4} =\frac{13}{2} /\frac{7}{4}=\frac{13}{2} *\frac{4}{7}=\frac{52}{14} =\frac{26}{7} =3.714[/tex]
Answer:
6 1/2 pies = 26/4 pies and 7/4 are sold per day
It will last
26/4 divided by 7/4 days =
104 / 28 = 26 / 7 = 3.7142857143 days
Step-by-step explanation:
-3(4x+3)+4(6x+1)=43
Answer:
X=4
Step-by-step explanation:
collect like term than move the rate and divide by 12
Find the domain. Write your answer in interval notation.
Answer:
[-4, 2]
Step-by-step explanation:
the domain is between -4 and 2, but it also includes those numbers, so you get:
[-4, 2]
5y - 1 = 4y +5
Linear equations
Step-by-step explanation:
5y - 1 = 4y + 5
5y -4y = 5 + 1
Y (1y) = 6
How do the 6 in 683.5 and 30.67 compare
Answer:
well the 6 in 683.5 is in the hundreds, and the 6 in 30.67 is in the tenths so the one in 30.67 is actually smaller than the 6 in 683.5
Step-by-step explanation:
The price of a baseball cap is $8.75. Between which two prices is the price of the cap?
A. $8.00 and $8.49
B. $8.50 and $8.99
C. $9.00 and $9.49
D. $9.50 and $9.99
Answer:
B. $8.50 and $8.99
Step-by-step explanation:
Answer:
B. $8.50 and $8.99
Step-by-step explanation:
In training for a swim meet, Logan swam 750 meters in 1/3 of an hour. His swimming partner, Mila, swam 2/3 of Logan's distance in 1/4of an hour. What is Mila's average swimming speed?
Answer: 2000m/h
Step-by-step explanation:
speed = distance/time
milas distance was (2/3).(750 m) = 500 m, so her speed was (500 m)/(1/4) = 2000 m/h
Gorgi found a shoe pair for $35. She had a 30% discount. What is the price now?
Answer:
$24.50
Step-by-step explanation:
$35 - 30% = $24.50.
Thus, that is the answer.
Hope this helps!
Answer- $24.50
$35 - 30% is $24.50.
Gorgi saved $10.50 as well.
Hope this helps!
1/2 of 24 =
1/6 of 24
1/4 of 24 =
Answer:
1/2 of 24 = 12
1/6 of 24= 4
1/4 of 24 = 6
Step-by-step explanation:
divide
#4: Which property could be used to solve the equation below? *
15 = x + 13
Answer:
15-13=2
13+2=15
x=2
now double check the answer and
2+13=15
x = 2 is your answer
Brandon throws a ball across a field. The ball's height, in feet, is modeled by the function ƒ(t) = –1∕2t2 + 2t + 6, where t represents time in seconds. How long does it take the ball to hit the ground? Question 4 options: A) 2 seconds B) 4 seconds C) 8 seconds D) 6 seconds
Answer:
D. 6 seconds.
Step-by-step explanation:
When the ball hits the ground f(t) = 0 , so:
-1/2t^2 + 2t + 6 = 0
Take out the -1/2:
-1/2(t^2 - 4t - 12) = 0
-1/2(t - 6)(t + 2) = 0
t = -2 , 6. We ignore the negative zero.
So the answer is 6 seconds.
Answer:
6 seconds is right!
I got it right in class
Write an equation for a line parallel to g(x) = 3x − 1 and passing through the point (4, 9)
Answer: y=3x-3
Step-by-step explanation:
To find a line that is parallel to the function, we know that the slope must stay the same. Parallel lines NEVER cross. This means the slope MUST be the same. All we have to change is the y-intercept. We can use the given point to find the correct y-intercept.
y=3x+b [plug in (4,9)]
9=3(4)+b [multiply]
9=12+b [subtract both sides by 12]
b=-3
Now, we know that the y-intercept is -3, we can put together our equation. y=3x-3