The amount of money spent by these persons individually will be $ 93, $116, and $ 99.
What is the matrix?A matrix is a specific arrangement of items, particularly numbers. A matrix is a row-and-column mathematical structure. The a_{ij} element in a matrix, such as M, refers to the i-th row and j-th column element.
Ram, Shyam, and Mohan purchased biscuits from different brands P, Q, and R.
Ram purchased 10 packets of P, 7 packets of Q, and 3 packets of R.
Shyam purchased 4 packets of P, 8 packets of Q, and 10 packets of R.
Mohan purchased 4 packets of P, 7 packets of Q, and 8 packets of R.
If brand P costs € 4, Q costs € 5, and R costs € 6 each.
Then the amount of money spent by these persons individually will be
Then these are shown in the form of a matrix. Then we have
[tex]\begin{bmatrix}10 & 7 & 3 \\4 & 8 & 10 \\4 & 7 & 8 \\\end{bmatrix} \begin{bmatrix}4 \\ 5 \\ 6 \\\end{bmatrix}[/tex]
Then the amount of money spent by these persons individually will be
[tex]\begin{bmatrix}10 & 7 & 3 \\4 & 8 & 10 \\4 & 7 & 8 \\\end{bmatrix} \begin{bmatrix}4 \\ 5 \\ 6 \\\end{bmatrix} = \begin{bmatrix} 93\\ 116 \\99 \end{bmatrix}[/tex]
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Determine the measure of LUXW in the diagram.
Y
66°
U
W
X
The measure of LUXW is
57°
Z
Answer:
33°
Step-by-step explanation:
Where a transversal crosses parallel lines at right angles, all of the angles at their points of intersection are right angles.
__
Angles at U are right angles, congruent to ∠UXZ. So, acute angle UXW in right triangle UXW is the complement of acute angle UWX:
∠UXW = 90° -57° = 33°
Write the equation of the line in fully simplified slope-intercept form.
Answer:
y = -3/2x + 8
Step-by-step explanation:
Slope: y2 - y1 / x2 - x1
= 5-2 / 2-4
= -2/3
Y intercept is 8
find the volume of the shape
Answer:
hmmm the mass are the numbers of the up and volume of the bottom
Step-by-step explanation:
Kieran enters four events in an athletics
competition. The probability of him winning each
of the events is shown below.
Order the probabilities from least likely to most
likely.
100 m
Long jump
Discus
Hurdles
2
0.46
²3
23%
3
10
5
Answer:
Discus, Hurdles, Long jump, and 100m
Step-by-step explanation:
need help with this math
Answer:
h = 5 :)
Step-by-step explanation:
Nick has planted 20 flowers and can plant 7 flowers an hour, Rachel planted 5 flowers and can plant 10 flowers an hour.
f = 7h + 20
f = 10h + 5
f = 7(1) + 20 = 27
f = 10(1) + 5 = 15
(Not this one)
f = 7(2) + 20 = 34
f = 10(2) + 5 = 25
(nope..)
f = 7(3) + 20 = 41
f = 10(3) + 5 = 35
(nope!)
f = 7(4) + 20 = 48
f = 10(4) + 5 = 45
(close, but no)
f = 7(5) + 20 = 55
f = 10(5) + 5 = 55
(Yes!)
Simplify the expression below as much as possible.
(7-i) + (5 + 3i) - (-3 + 2i)
A. 15
OB. 9
O C. 15-4i
OD. 9-4i
answer: 15
steps:
i means √-1
but in this problem treat
i like x
(7-i) + (5 + 3i) - (-3 + 2i) =
(7-i) + (5 + 3i) +3 - 2i
7-i + 5 + 3i +3 - 2i =
7-i + 5 + 3i +3 - 2i
7+5+3-i+3i-2i
7+5+3+2i-2i
7+5+3 =
15
Solve Algebraically
y=x2−4x+3
y=x−5
Answer:
then
x2-4x+3=x-5
or,x2-4x-x= -5-3
or,x2-5x+8=0
PLEASE HELP MEE ANSWER THIS
Volume of a Rectangular Prism = length x width x height
Length = 4
Width = 2
Height = a
Volume = 7.2
7.2 = 4 x 2 x a
7.2 = 8 x a
a = 0.9
Answer: a = 0.9
Hope this helps!
Answer:
a = 0.9 cm
Step-by-step explanation:
Volume of a rectangular prism: L*W*H
L = 4 cmW = 2 cmH = a cmV = 7.2 cm³Substitute the values above into the formula:
V = L*W*H
7.2 = 4*2*a
7.2 = 8a
/8 /8
0.9 = a
Therefore, the value of a is 0.9 cm.
Hope this helps!
Pls, look at the picture for the question.
Answer:
B
Step-by-step explanation:
surface area = area of base + area of lateral faces
Area of base:
A = lw
A = 4(4)
A = 16
Area of Lateral faces:
A = 1/2 bh
A = 1/2(5)(4)
A = 1/2(20)
A = 10
There are for lateral faces.
s = 16 + 10 + 10 + 10 + 10
Find the value marked b?
Based on the alternate interior angles theorem, the value marked b is calculated as: 190°
What is the Alternate Interior Angles Theorem?The theorem states that two alternate interior angles are always congruent to each other.
The measure of angle b based on the alternate interior angles theorem would be:
m∠b = 50 + (320 - 180)
m∠b = 190°
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Solve the radical equation.
X+4=√x+10
What is the extraneous solution to the radical equation?
O The solution -1 is an extraneous solution.
O Both -1 and -6 are true solutions.
O The solution -6 is an extraneous solution.
O Neither -1 nor -6 is a true solution to the equation.
The answer is c
Step-by-step explanation:
that kind of wording is always misleading.
please give my regards and comments to your teacher.
a square root has ALWAYS 2 solutions : a positive AND a negative one.
in that sense the negative solution to a square root is NOT an extraneous solution.
only any value of x < -10 (to make the argument of the square root negative) as solution would be extraneous.
so, if your teacher wants to say that only the positive solutions of a square root are allowed, it has to be said as an extra definition or by applying the "+" sign to the square root.
so,
x + 4 = sqrt(x + 10)
since the 2 solutions are already given to us, we only need to use them in the equation and see what happens.
x = -1
-1 + 4 = sqrt(-1 + 10)
3 = sqrt(9) = 3 (actually, it is ±3)
so, x = -1 is a real solution.
x = -6
-6 + 4 = sqrt(-6 + 10)
-2 = sqrt(4) = 2 (actually, it is ±2)
so, based on your teacher's expectation of only positive results of the square root (even though it was not stated),
x = -6 is an extraneous solution.
therefore, the third answer (c) is the "correct" answer.
but actually, formally, the second answer (b) is the truly correct answer.
he average of 7 consecutive even integers is 10. What is the largest
of the 7 integers?
Answer:
only two brother ok bye
A dance CD has 10 songs on it - 8 are slow, and 2 are fast. When the DJ at a dance plays a song it is not played again. All songs from the CD are played at random.
What is the probability that the first two songs played are slow songs?
The probability that the first two songs played are slow songs is approximately 0.622 or 62.2%.
To calculate the probability that the first two songs played are slow songs, we need to consider the total number of ways the first two songs can be selected and the number of ways to choose two slow songs out of the eight available.
Given:
Total number of songs = 10
Number of slow songs = 8
Step 1: Calculate the total number of ways to choose two songs out of ten (without replacement), which is represented by "10C2" (combinations of 10 things taken 2 at a time):
10C2 = (10 * 9) / (2 * 1) = 45
Step 2: Calculate the number of ways to choose two slow songs out of eight:
8C2 = (8 * 7) / (2 * 1) = 28
Step 3: Find the probability that the first two songs played are slow songs by dividing the number of favorable outcomes (choosing two slow songs) by the total number of possible outcomes (choosing any two songs from the CD):
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 28 / 45 ≈ 0.622
So, the probability that the first two songs played are slow songs is approximately 0.622 or 62.2%.
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A bottle contains 3.6 liters of water, water drips out of the bottom of the bottle at a rate of 20 millilitres per minute, work out how long it takes for the bottle to empty, give your answer in hours.
Answer: 3 hours
Step-by-step explanation:
Bottle = 3.6 liters / 3600 milliliters
Rate = 20 ml a minute
3600 / 20 = 180 minutes
60 minutes = 1 hour
180 / 60 = 3 hours
Help and show explanation please
Answer:
This app is very good,it help us do our homework.and we make a good passed.
convert 32 table spoons to cup
Answer:
2 cups
Step-by-step explanation:
Formula: divide the volume value by 16
so its 32 divided by 16
Tickets are $10 for adults, a, and $5 for students, s, and they expect that twice as many students as adults will attend Their goal is to earn $1,500 from ticket sales. Write a system of equations to model the ticket sales, assuming the student councll> meets their goal. Use the model to determine the number of adult tickets and student tickets they expect to sell. Show work.
Using a system of equations, it is found that they expect to sell 175 adult tickets and 350 student tickets.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
Variable a: Number of adults that attend.Variable s: Number of students that attend.They expect that twice as many students as adults will attend, hence:
s = 2a.
Their goal is to earn $1,500 from ticket sales, hence:
10a + 5s = 1500.
10a + 5(2a) = 1500.
20a = 1500.
a = 1500/20.
a = 175.
s = 2a = 2 x 175 = 350.
They expect to sell 175 adult tickets and 350 student tickets.
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Please answer asap! show work!
11. What is (f.g)(x)?
f(x) = x3 +3
g(x) = 2x2 + x - 1
Answer:
2x⁵ + x⁴ - x³ + 6x² + 3x - 3
Step-by-step explanation:
Given :
f(x) = x³ + 3g(x) = 2x² + x - 1Finding (f × g)(x) :
f(x) × g(x)(x³ + 3)(2x² + x - 1)2x⁵ + 6x² + x⁴ + 3x - x³ - 32x⁵ + x⁴ - x³ + 6x² + 3x - 3Why can’t you Factor x^2+9
Answer:
You can't answer this because there isn't a regular x value, there is only a x squared
Step-by-step explanation:
[tex]~~~~~~x^2 +9 = 0\\\\\implies x^2 = -9\\\\\implies x = \pm\sqrt{-9}\\\\\implies x=\pm 3i\\\\\text{Which is not real, so the given expression can't be factored for} ~x \in \mathbb{R}.[/tex]
x^2+4x-4=0
Solve by factoring.
Answer:
1) As it is the coeficient of x² is 1, we need to find two numbers whose Sum S(x)=3 and the same numbers whose product is 2, P(x)= 2
S(x) = ( ) + ( ) =3
P(x) = ( ) * ( ) =2
S(x) = ( 2 ) + ( 1 ) =3
P(x) = ( 2 ) * ( 1 ) =2
These numbers in bold will be coeficients of x.
Rewrite the Trinomial x²+ 3x +2 as x² +2x+1x+2
So x²+3x+2 =x²+2x+1x+2
x² +2x+x+2 Put the x in evidence
x(x+2)+1(x+2) Find the Maximum Common Divider
(x+1)(x+2)
2) x²+x-6=0
Applying the same procedure. Which two integer number whose sum is 1 and whose Product is -6?
S(x) = ( 3 ) + ( -2 ) =1
P(x) = ( 3 ) * ( -2 ) =-6
Rewrite
x²+x-6
x²+3x-2x-6 Group them
x(x+3)-2(x+3) Common Term
(x+3)(x-2)
3) Since the a coeficient is ≠ 1, a little adjustment must be made on our algorithm for -2x²+4x+30=0
Firstly multiply a*c, in this case -2 * 30 = -60
Which two numbers multiplied by themselves will turn out to be -60 and whose sum is -60? Since we're working with integers factoring out may be very helpful.
P(x)= ( 10 ) * ( - 6 ) = -60
S(x) = ( 10 ) + ( -6 ) = 4
Rewriting
-2x²+10x-6x+30 Group them
2x(x+5) -6(x+5)
(2x-6)(x+5) Inserting the -1 to finally adjust
-1(2x-6)(x+5)
4) Explanation is the same principle as a≠1
3x²+4x-4=0
P(x) = ( 6 ) * (-2 ) = -12
S(x) = ( 6 ) + ( -2 ) = 4
3x²+4x-4 = 3x²+6x-2x-4
3x²+6x -2x+4
3x(x+2)-2(x-2)
(3x-2)(x+2)
The other ones are just applications of these, above.
Step-by-step explanation:
How to simplify question below ?
Answer:
[tex]3x^2y[/tex]
Step-by-step explanation:
The cube root of 27 is 3.
With indices, cube rooting them is the equivalent of multiplying by 1/3 so:
[tex]x^2y[/tex].
Put these 2 things together and you get:
[tex]3x^2y[/tex]
[tex] \sqrt[3]{800} [/tex]
between 2 and 3
between 4 and 5
between 9 and 10
Easy 30 points ……………
Answer:
D.
Step-by-step explanation:
it should be the sales tax because you pay a little bit more.
due to inflatation, the cost of harys hot wings grows by 4% every year. this year a dozen hot wings cost 5.99
part a. how much will a dozen hot wings cost next year
part b. how much will a dozen hot wings cost in 2 years
Answer:
Part A : $6.23
Part B : $6.48
Step-by-step explanation:
Let's apply the Simple Interest Formula, which is :
Simple Interest = Principal Amount x Interest rate x Time Period
In one year :
I = 5.99 x 4% x 1I = $0.24Cost = $5.99 + $0.24Cost = $6.23In 2 years :
I = $6.23 x 4% x 1I = $0.25Cost = $6.23 + $0.25Cost = $6.48there are light-bulbs at the factory
nice. are they filament lightbulbs or fluorecent lightbulbs
ANSWER THIS CORRECTLY FOR BRAINLIEST!!!!
This is 8th grade
algebra btw
Answer:
V = 2143.57
Step-by-step explanation:
To find the volume of a sphere you need to use this formula:
[tex]V = \frac{4}{3}\pi r^{3}[/tex]
r = radius
Solve:
You need the radius from the diameter. Divide 16/2 which is
8.
[tex]V = \frac{4}{3}(3.14) 8^{3}[/tex]
V = 2143.57
A midpoint approximation of the area under the curve f(x) = 2x(x-4)(x-8) over the interval [0, 4] with 4 subintervals is 120. 132. 160.
The midpoint approximation of the area under the curve f(x) = 2x(x-4)(x-8) over the interval [0, 4] with 4 subintervals is 132.
How to calculate the midpoint?The value of f(1/2) will be:
= 2(1/2)(1/2 - 4)(1/2 - 8)
= 105/4
The value of f(3/2) will be:
= 2(3/2)(3/2 - 4)(3/2 - 8)
= 195/4
The value of f(5/2) will be:
= 2(5/2)(5/2 - 4)(5/2 - 8)
= 165/4
The value of f(7/2) will be:
= 2(7/2)(7/2 - 4(7/2 - 8)
= 63/4
Therefore, the midpoint approximation will be:
= 1/4(105 + 195 + 165 + 63)
= 132
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What is the equation of the following line? Be sure to scroll down first to see
all answer options.
(0,0) (4,-2)
Answer:
y = -2x
Step-by-step explanation:
From the figure, the given line passes through the points (0, 0) and (-4, 8).
Recall that the equation of a straight line is given by
Thus, the equation of the given figure is given by
-4y = 8x
Therefore, the answer is y = -2x.
If x=−4 is a solution to the equation x2+11x+K=0 , then K= ?
Answer:
x^2 + 11x + k = 0
(-4) ^2 + 11 (-4) + k = 0
16 - 44 + k = 0
-28 + k = 0
K = 28
Hope Helpful ~
The inverse of the function f(x) = 1/2x+10?
Answer:
f'(x) = 2x - 20
Step-by-step explanation:
f(x) = 1/2 x + 10
Switch x and y.
y = 1/2 x + 10
Solve for y by itself.
x = 1/2 y + 10
x - 10 = 1/2 y
y = 2 * (x - 10)
f'(x) = 2x - 20