Answer: 4145.43
Have a great day! ;)
Solve the following system of equations using matrices (row operations).
x-y=3
6x-5z=36
6y+2z=18
Answer:
(6,3,0)
Step-by-step explanation:
Given,
x - y + 0z = 3
6x - 0y - 2z = 36
0x + 6y + 2z = 18
You have the following augmented matrix:
(1) 1 -1 0 3
(2) 6 0 -2 36
(3) 0 6 2 18
Let's (3) add to (2) and divide by 6
(1) 1 -1 0 3
(2) 1 1 0 9
(3) 0 6 2 18
Now, let's (2) add to (1) and divide by 2
(1) 1 0 0 6
(2) 1 1 0 9
(3) 0 6 2 18
Let's (3) ÷ 2
(1) 1 0 0 6
(2) 1 1 0 9
(3) 0 3 1 9
Let's (1) subtract from (2)
(1) 1 0 0 6
(2) 0 1 0 3
(3) 0 3 1 9
Finally, let's (2) multiply by 3 and subtract from (3)
(1) 1 0 0 6
(2) 0 1 0 3
(3) 0 0 1 0
Thus,
x = 6, y = 3 and z = 0
The answer is (6, 3, 0)
We have to verify the answer
6 - 3 = 3 ⇒⇒ 3 = 3
6*6 - 5*0 = 36 ⇒⇒ 36 = 36
6*3 + 2*0 = 18 ⇒⇒ 18 = 18
7. A biscuit recipe calls for these
ingredients:
3/8
cup of brown sugar
- 2 1/2 cups of flour and
1/3 cup of white sugar
b) Would a bowl that holds 3 cups
be big enough to hold all three
ingredients? Explain how you know.
Hope this explanation helps. :)
Express the ratio below in its simplest form. 1.5 : 1
Answer:
3 :2.
Step-by-step explanation:
1.5 : 1
Multiply both numbers by 2:
i this gives 3:2
Given f(x) = x − 7 and g(x) = x2 .
Find g(f(4)).
Answer:
9
Step-by-step explanation:
f(x) = x − 7 and g(x) = x^2
g(f(4))
First find f(4)
f(4) = 4-7 = -3
Then put this result in g(x)
g(-3) = (-3) ^2 = 9
g(f(4) = 9
g(f(4)) =9.
Answer:
Solution given;
(x) = x − 7 and g(x) = x2 .
now
g(f(4))=g(4-7)=g(-3)=(-3)²=9
Which figure has at least one line of symmetry?
Answer:
the second green shape because the first one is a rectangle which has 2 equal sides
Answer:
the third orange one
Step-by-step explanation:
i have the same question and these 2 show up as answers on both so it has to be this one
You are studying the color patterns of a species of iris that can be yellow, purple, or red. If you are performing a chi-squared test to compare the number of each you find in a field to the number you would expect to find based on the pollinators in the area, how many degrees of freedom would you have in your analysis
Answer:
Number of degrees of freedom = 2
Step-by-step explanation:
The degree of freedom in such type of chi-Square test depend on the number of phenotypes of the a particular species produced in a given cross.
Here the total phenotype number is three i.e yellow, purple, or red
Hence, the number of degrees of freedom = total number of phenotype - 1
Number of degrees of freedom = total number of phenotype - 1
Number of degrees of freedom = 3-1
Number of degrees of freedom = 2
Find the first two expressions in the sequence _, _, 4x+5, 5x+7, 6x+9, 7x+11, 8x+13...
Answer:
First term: 2x+1
Second term: 3x+3
Step-by-step explanation:
The coefficient of x is going up by 1 time each time while the constant term is going up by 2.
We are looking at these two questions basically:
1) What are the first two terms in?
_,_,4,5,6,7,8
2) What are the first two terms in?
_,_,5,7,9,11,13
Answers:
1) Since the sequence is going up by 1 reading left to right, then right to left it's going down by 1.
So before 4, we have 3.
Before 3, we have 2.
The sequence for the coefficient of x is 2,3,4,5,6,7,8
2) Since the sequence is going up by 2 from left to right, then it's going down by 2 reading right to left.
So before 5, we have 3.
Before 3, we have 1.
The sequence for the constant term is 1,3,5,7,9,11,13.
So first two terms of the sequence in ascending order according to the sequence is:
2x+1
3x+3
h(x)=6/(x-3), find h(5)
h(5) means the value of h(x) at x = 5. So what we have to do is to substitute x = 5 in the function.
We are given the function h(x) below:
[tex] \large{h(x) = \frac{6}{x - 3} }[/tex]
Substitute x = 5 in the equation.
[tex] \large{h(5) = \frac{6}{5 - 3} \longrightarrow \frac{6}{2} }[/tex]
Simplify in the simplest form.
[tex] \large{h(5) = \frac{3}{1} \longrightarrow 3}[/tex]
Thus h(5) is 3.
Answer
h(5) = 3Hope this helps! Let me know if you have any doubts.
The width of the rectangle shown below is 10 inches the length is 4 feet what is the area of the rectangle in square inches
Find ƒ–1 for the function ƒ(x) = (x – 10)3 + 4.
Answer:
x=-69/7
Step-by-step explanation:
f (-1) f (x)=(x-10) 3+4
-1=(x-10) 3+4
-1=(x-10) 7
You will multiply 7 by (x-10)
-1=7x-70
Well move the-1 to the right hand side which will become+1 and move the+7x to the left hand side which will become -7x
-7x=-70+1
-7x=-69
So you will divide both sides by-7
-7x/7=-69/7
x=-69/7
Find the largest possible rectangular area you can enclose, assuming you have 128 meters of fencing. What is the (geometric) significance of the dimensions of this largest possible enclosure?
Answer:
Step-by-step explanation:
let the length=x
width=y
P=2(x+y)=128
x+y=128/2=64
y=64-x
area A=xy=x(64-x)=64x-x²
[tex]\frac{dA}{dx} =64-2x\\\\\frac{dA}{dx} =0,gives~64-2x=0,x=32\\\frac{d^2A}{dx^2} =-2<0 ,at ~x=32[/tex]
so A or area is maximum if x=32
y=64-32=32
or it is a square of edge=32 meters.
Will Mark Brainlest help step by step. (The ratio of two men present age is 3:4 and this will be 7:9 after 4 years what are their present age)
Answer:
24 and 32
Step-by-step explanation:
Let their present ages be x and y
Therefore, x
[tex] \frac{x}{y} = \frac{3}{4} [/tex]
we have 4x = 3y
4x - 3y = 0......................(I)
After four years,
[tex] \frac{x + 4}{y + 4} = \frac{7}{9} [/tex]
we have, 9(x + 4) = 7(y + 4)
9x + 36 = 7y + 28
9x - 7y = -8 ........................(ii)
Solving (I) and (ii) simultaneously
4x - 3y = 0
9x - 7y = -8
multiply eqn I by 9 and equation (ii) by 4 and subtract result
36x - 27y = 0...............(iii)
36x - 28y = -32...........(iv)
subtracting (iv) from (iii) we have,
y = 32
substituting y back in equation (I)
4x - 3y = 0
4x -3(32) = 0
4x - 96 = 0
4x = 96
x = 24
Their ages are 24 and 32
Please please help need today
Answer:
you need to zoom in i cant see plz :)
Step-by-step explanation:
find the value of a and the value of b :
4x2 - 4x - 15 is a factor of 4x3 + ax2 + bx + 30.
Step-by-step explanation:
the answer is in the above image
pls give me BRAINLIEST
what is the area of Ghana?
Answer:
its 238,535km²
Step-by-step explanation:
i hope it helps alot
What is the area of Ghana?
ඞ Ghana covers an area of [tex]\sf\purple{238,535\: km²}[/tex].
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
Use the graph of f(x) to estimate f(3).
Answer:
f(3) = -8
Step-by-step explanation:
f(3) means find the y value when x=3
Using the graph the y value when x =3 is -8
f(3) = -8
A new runner has decided to purchase a new pair of running shoes. He has narrowed his choices to two brands, each of which would be appropriate for his use. His concern is whether there is a significant difference in the average wear between the two brands of shoes. He enlisted a random sample of 6 veteran runners to test the shoes. Each runner wore each brand of shoe until it wore out. What method of analysis is more appropriate to use for this problem
Answer:
Paired difference t test
Step-by-step explanation:
The paired difference t test is a type of statistical test which is used to examine if difference exists in th population mean of two samples. The paired difference test usually involves samples taken within subjects. That is, the sample mean for each set of measurement is taken from the Same subject, In the scenario described above, the subjects which are the 6 veteran runners each wore each of the two shoe brands, this means that two readings were produced by each runner ; one reading for brand A and the other brand B.
The difference between the two readings are taken for each runner and used to perform a hypothesis test:
t = μd/ (s/√n)
s = sample standard deviation ; n = sample size ; μd = mean difference
At the movie theatre, they give out a free drink to every 75th customer and a free bag of popcorn to every 30th customer. On Monday 3,000 customers came to the theatre. How many people received both free item
Answer:
20 people
Step-by-step explanation:
At the movie theater, they give out a free drink to every 75th customer and a free bag of popcorn to every 30th customer.
On Monday, 3,000 customers came to the theater.
To find the number of people who got both free items, we will calculate the Least Common Multiple (LCM) of 30 and 75.
LCM of 30, 75
= 5 × 3 × 5 × 2
= 150
Each 150th customer will receive both free items.
Total number of people who receive both free items = 3000 ÷ 150
= 20 people
On Monday 20 people will receive both free items.
In a right triangle, angle C measures 40°. The hypotenuse of the triangle is 10 inches long. What is the approximate length of the side adjacent to angle C?
6.4 inches
7.7 inches
8.4 inches
13.1 inches
Answer:
The cosine function is: adjacent/hypotenuse = cos (40). We know the hypotenuse length is 10, so the equation is now adjacent/10 = cos (40). Solving for adjacent length we get 7.7 inches.
Answer:
the answer is B: 7.7 inches
Step-by-step explanation:
did the test go 100%
Find the indicated area of the sector surrounded in bold.
Answer:
75.36 yd² (≈ 75.4 yd²)
Step-by-step explanation:
GIVEN :-
Angle subtended by the arc at center of circle (θ) = 135°Radius of the circle = 8 ydTO FIND :-
Area of the sectorGENERAL FORMULAE TO BE USED IN THI QUESTION :-
Lets say there's an arc which subtends θ angle in the center of the circle & radius of the circle is 'r'.
Area of the sector = [tex]\frac{\theta}{360} \times \pi r^2[/tex]
SOLUTION :-
Area of the sector = [tex]\frac{\theta}{360} \times \pi r^2[/tex]
[tex]= \frac{135}{360} \times \pi (8)^2[/tex]
[tex]= \frac{3}{8} \times 64 \times 3.14[/tex]
[tex]= 3 \times 8 \times 3.14[/tex]
[tex]=75.36 \; yd^2[/tex]
HELP PLEASE WILL MARK BRAINLIEST ITS END BEHAVIOR OF A GRAPH
There are 924 people in a theatre.
383 of the people are men.
356 of the people are women.
2
of the children are boys.
5
Work out how many girls are in the theatre
[tex]924 - (383 + 356 + 2 + 5 )[/tex]
Answer:
Step-by-step explanation:
total no. of people in the theatre = 924
men=383
women=356
boy children =2
doing workout 5
total=746
no. of girls= 924-746=178
Therefore, the number of girls are in the theatre are 178.
Points A, B, and C are collinear, BC = 2x+1, AB = 4x-3. AC is 7x- 6. What is
AB?
A line is a one-dimensional shape that is straight, has no thickness. The length of the sides AB is 13 units.
What is a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.
Given Points A, B, and C are collinear, BC = 2x+1, AB = 4x-3, and AC is 7x- 6. Since the three points are collinear therefore, the sum of AB and BC will be equal to AC. Therefore, we can write,
AB + BC = AC
4x - 3 + 2x + 1 = 7x - 6
6x - 2 = 7x - 6
-2 + 6 = 7x - 6x
4 = x
Now, since the value of x is 4, the measurement of AB is,
AB = 4x - 3 = 4(4) - 3 = 16 - 3 = 13 units
Hence, the length of the sides AB is 13 units.
Learn more about Line:
https://brainly.com/question/21511618
#SPJ1
Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at 70 mph. The westbound train travels at 90 mph. How long will it take for the two trains to be 192 miles apart.
Answer:
1.2 hours
Step-by-step explanation:
Recall :
Distance = speed * time
Let the time taken = x
Creating an equation for the question :
Distance of train A + Distance of train B = 192
70 * x + 90 * x = 192
70x + 90x = 192
160x = 192
x = 192 / 160
x = 1.2
It takes 1.2 hours to be 192 miles apart.
Write the slope-intercept form of the equation for the line.
Answer:
its 4/2 or simplified to 2/1
Step-by-step explanation:
mark me brainliest pls
The store charges $2.50 for a bottle of soda and $1.25 for a bottle of water. Write an equation in standard form for the number of soda (s) and water (w) bottles that you can buy with $15. PLZ HELPPPP
Answer:
2.50 + 1.25= 3.75
15.00 - 3.75= 11.25
Step-by-step explanation:
Find the circumference of this circle
using 3 for T.
C ~ [?]
2
C = 2Tr
Answer:
12Step-by-step explanation:
Formula:
C = 2πrGiven:
r = 2, π = 3The circumference:
C ≈ 2*2*3 = 12Hope this help!!!
Have a nice day!!!
What is the value of the upper quartile?
I NEED HELP ASAP ⚠️⚠️
If 1 is a solution to g(x) = 0, what is the other solution?
9514 1404 393
Answer:
A. -1
Step-by-step explanation:
The table shows that g(x) = 0 for x = -1. (third row)
The other solution is x = -1.
please help me find the area
Answer:
165 square ft
Step-by-step explanation: