Answer:
24
Step-by-step explanation:
thats right
The solution is d₁ = 24
The product of the elements on the main diagonal of the matrix is 24
What is multiplication of matrices?
The product of two matrices A and B is defined if the number of columns of A is equal to the number of rows of B. The first matrix must have the same number of columns as the second matrix has rows. The number of rows of the resulting matrix equals the number of rows of the first matrix, and the number of columns of the resulting matrix equals the number of columns of the second matrix
Given data ,
Let the matrix be represented as A
Now , the value of A is
[tex]A = \left[\begin{array}{ccc}3 &2 \\ 5 &8 \\\end{array}\right][/tex]
Now , on simplifying the matrix A
The main diagonal of the matrix is having the elements ( a₁₁ ) and ( a₂₂ )
So , the product of the elements in the main diagonal is
a₁₁ = 3
a₂₂ = 8
And , the equation will be
d₁ = ( a₁₁ ) x ( a₂₂ )
Substituting the values in the equation , we get
d₁ = 3 x 8
d₁ = 24
Therefore , the value of d₁ is 24
Hence , the product of the diagonal elements of matrix is 24
To learn more about multiplication of matrix click :
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A plant inspector takes a random sample of six month old seedlings from a nursery and measures their heights to the nearest mm .
Answer:
48
Step-by-step explanation:
A water spout is filling a large container with water. After 5 hours the container held 24L of water. After 8 hours the container held 30L of water. At this rate, how much water was in the container at 2 hours?
Answer:
Step-by-step explanation:
This is a direct proportionality. If a water spout is filling a large container with water, hence the time taken to fill the container is directly proportional to the volume v of water. MAthematically;
t = kV
If after 5 hours the container held 24L of water, then;
5 = 24k
k = 5/24
Also if after 8 hours the container held 30L of water
8 = 30k
k = 8/30
To get the rate of the container at 2 hrs
This is due today please help.
What is the area of the shape.
Answer choices:
24 yd2
36 yd2
39 yd2
30 yd2
The mean of the numbers 7, 5x, 4, 8 and 6 is
10. What is the value of x?
Ans:
Answer:
Step-by-step explanation:
[tex]\frac{7+5x+4+8+6}{5} = 10[/tex]
7+5x+18=50
5x+25 = 50
5x = 25
x = 5
Answer:
25+5x =105
25+5x=505x=50-25x=25/5x=5hope it helps.
Debbie McAdams paid 6% interest on a $14,500 loan balance. Jan Burke paid $12,480 interest on a $97,500 loan. Based on 1 year
a. What was the amount of interest paid by Debbie?
Interest paid by Debbie
b. What was the interest rate paid by Jan? (Round your answer to the nearesi tenth percent.)
Interest rate paid by Jan
c. Debbie and Jan are both in the 28% tax bracket. Since the interest is deductible, how much would Debbie and Jan each save in
taxes? (Round your answers to the nearest cent.)
Debbie
Jan
Save in taxes
Answer:
C
Step-by-step explanation:
Samir buys T-Shirts for $10 each and markups the price by 35%. Samira claims that Samir has to mark each shirt up by $3.50.
Is she correct?
Answer: she is correct
Step-by-step explanation:
35% in decimal form is 3.50
During April, he charges $387.92 to the card, and at the end of April, he makes a payment of $400.00. What will be the new balance on his card?
11 point)
Hospital records show that patients suffering from a specific disease die 40% of the
time. If 5 patients have this disease, how many would you expect to survive?
Answer:
3
Step-by-step explanation:
If 40% of the patients die, then 60% of the patients survive.
60% of 5 = 0.6 * 5 = 3
Find the term a8 for the sequence 6, 24, 96, ....
helpppppppppppppppppppp
Answer:
6:5:4
Step-by-step explanation:
6 + 5 + 4 = 15
3000/15 = 200
200 x 6 = 1200 = eldest
200 x 5 = 1000 = 2nd eldest
1200 + 1000 = 2200
3000 - 2200 = 800
200 x 4 = 800 = youngest
Answer 6 : 5 : 4
Step-by-step explanation:
Its simply because
1200 ÷ 6 is 200 which is a whole number... If you divide for example 1200 by 7 it wont give you a whole... And also the first number of the ratio should be the greatest since the first child got the most money and the last the least which means the least should be the smallest number.
Which quadratic expression is in vertex form?
What is 2 to the power of 4 written in expanded form
Answer:
(4)2
4×4=16 or
(2)4
2×2×2×2=16
both are correct ☺️
Step-by-step explanation:
hope it helps you have a good day
Brenya Estate produces a high quality tea branded A, B and C in the ration 1.5: 5: 1. Originally Type A tea costs 1600, type B costs 800 and type C costs 1700 per kg to produce. Brenya Tea Estate packs Super tea in packets of 825g each. Blending and packing costs are 40 per kg. Determine the production cost for a packet of super tea
Answer:
The production cost for a packet of super tea is 924.
Step-by-step explanation:
The production cost of the Super tea is given as
[tex]Cost_{super\ tea}=Cost_{A}+Cost_{B}+Cost_{C}+Cost_{packaging\ and\ blending}[/tex]
Here the costs are given as following
[tex]Cost_A=\dfrac{Ratio\ of\ A}{Sum\ of \ ratios} \times Weight \times Cost\ of\ A\ per\ kg[/tex]
Here
Ratio of A is 1.5Sum of Ratios is 1.5+5+1=7.5Weight is 825 g or 0.825kgCost of A per kg is 1600So
[tex]Cost_A=\dfrac{Ratio\ of\ A}{Sum\ of \ ratios} \times Weight \times Cost\ of\ A\ per\ kg\\Cost_A=\dfrac{1.5}{7.5} \times 0.825 \times 1600\\Cost_A=264[/tex]
The cost of A is 264.
Similarly
[tex]Cost_B=\dfrac{Ratio\ of\ B}{Sum\ of \ ratios} \times Weight \times Cost\ of\ B\ per\ kg[/tex]
Here
Ratio of B is 5Sum of Ratios is 7.5Weight is 825 g or 0.825kgCost of B per kg is 800[tex]Cost_B=\dfrac{Ratio\ of\ B}{Sum\ of \ ratios} \times Weight \times Cost\ of\ B\ per\ kg\\Cost_B=\dfrac{5}{7.5} \times 0.825 \times 800\\Cost_B=440[/tex]
The cost of B is 440.
Also
[tex]Cost_C=\dfrac{Ratio\ of\ C}{Sum\ of \ ratios} \times Weight \times Cost\ of\ C\ per\ kg[/tex]
Here
Ratio of C is 1Sum of Ratios is 7.5Weight is 825 g or 0.825kgCost of C per kg is 1700[tex]Cost_C=\dfrac{Ratio\ of\ C}{Sum\ of \ ratios} \times Weight \times Cost\ of\ C\ per\ kg\\Cost_C=\dfrac{1}{7.5} \times 0.825 \times 1700\\Cost_C=187[/tex]
The cost of C is 187.
Now the packaging and blending cost for the given package is calculated as
[tex]Cost_{packaging\ and\ blending}=Weight*Cost_{packaging\ and\ blending\ per\ kg}[/tex]
Here
Weight is 825 g or 0.825kgCost of packaging and blending per kg is 40[tex]Cost_{packaging\ and\ blending}=Weight*Cost_{packaging\ and\ blending\ per\ kg}\\Cost_{packaging\ and\ blending}=0.825*40\\Cost_{packaging\ and\ blending}=33[/tex]
Cost of packaging and blending per packet is 33.
So now substituting values of costs in the following equation gives:
[tex]Cost_{super\ tea}=Cost_{A}+Cost_{B}+Cost_{C}+Cost_{packaging\ and\ blending}\\Cost_{super\ tea}=264+440+187+33\\Cost_{super\ tea}=924[/tex]
The production cost for a packet of super tea is 924.
I NEED HELP ON THIS PLZZ!! WILL MARK BRAINLIEST
Answer:
C i think
Step-by-step explanation:
you do 13x90 then divide by 5x
Answer: x=12
Step-by-step explanation:
We will use the Pythagorean Theorem since we know two sides and it is a right triangle
Pythagorean Theorem is a^2+b^2=c^2
a=5,b=x, c=13
(5)^2+(x)^2=(13)^2
25+(x)^2=169
Subtract 25 from both sides to start solving for x
(x)^2=144
Take the square root of both sides and get x=12
x=12
You plant a tree that is 36 inches tall. After one year, the tree is 43 inches tall. Which expression describes the percent of increase in the tree's height? 3643×100 43−3643 43−3636×100 43−3643×100
Answer:
19.4%
Step-by-step explanation:
Given data
Initial height=36in
Final height= 43in
% increase= Final-initial/initial*100
Substitute
% increase= 43-36/36*100
%increase= 7/36*100
%increase= 0.194*100
%increase= 19.4%
Hence the increase is 19.4%
QUICK whoever gives the correct answer gets Brainliest
Answer:
72.3%
Step-by-step explanation: multiply .723x100 to get 72.3 because your looking for the percent(multiply by 100 when your trying to find what something is as a percent)
What is the volume of this square pyramid?
Answer:
400m^3
Step-by-step explanation:
Answer: [tex]400m^{2}[/tex]
Step-by-step explanation:
In order to solve this square pyramid's volume, we use the formula:
V = 1/3(B)(h)
Now, we plug in what we know. Since it has a square base, the sides of the base are all the same:
1/3(10*10)(12)
Now we solve:
1/3(100)(12)
1/3(1200)
400
Jeanie bought a book for $8.98, a pen for $3.27 and a ruler for $1.50. if the sales tax on each of the items is 8%, what is the total amount Jenny must pay for the items including tax?
Answer:
$14.85
Step-by-step explanation:
8.98 + 3.27 + 1.5 = 13.75
13.75 x .08 = 1.1
13.75 + 1.1 = 14.85
Answer:
$14.85
Step-by-step explanation:
8.98 x.08= 0.7184
3.27 x .08= 0.2616
1.50 x .08= 0.12
8.98 + 0.72= 9.70
3.27 + .26= 3.53
1.50 + 12 =1.62
9.70+ 3.53 +1.62 = 14.85
pleaseeee help me, i dont have much time to finish
Answer:
[tex]\sqrt{80} \\OR \\ 5\sqrt{4}[/tex]
Step-by-step explanation:
pythagorean theorm
and then simplify with a factor tree or leave it as is.
BRAINLIEST PLEASE IF RIGHT
HELP HELP HELP PLEASE HELP NOW HELP
Answer:
JK = 8
Step-by-step explanation:
Given 2 intersecting chords, then
The product of the measures of the parts of one chord is equal to the product of the measures of the other chord, that is
x(x + 4) = (x + 1)(x + 2) ← expand parenthesis
x² + 4x = x² + 3x + 2 ( subtract x² + 3x from both sides )
x = 2
Then
JK = x + 4 + x = 2x + 4 = 2(2) + 4 = 4 + 4 = 8
HELP PLEASE FAST
Select the ordered pairs that are solutions to y<2x+5
(-6,6_ (0,8) (2,-1) (-1,3)
Answer:
c & d
Step-by-step explanation:
[tex]x = - 6 \: \: 6 \leqslant - 12 + 5 \\ \ \\ 6 \leqslant - 7 \: \: \\ \\ \\ x = 0 \: \: 8 \leqslant 5 \\ \\ \\ x = 2 \: \: - 1 \leqslant 4 + 5 \\ - 1 \leqslant 9 \\ \\ x = - 1 \: \: 3 \leqslant - 2 + 5 \\ 3 \leqslant 3[/tex]
Help!
I really need this A!!
Answer:
2 * 2 * 2 * 2 * 2 * 2, 4 * 16, 8 * 8.
Step-by-step explanation:
To make this easier, let's find the values of all the answers.
2^6 = 64.
So now we compare the values.
6 * 6 * 6 * 6 * 6 * 6 = 46656.
2 * 2 * 2 * 2 * 2 * 2 = 64.
2 * 6 = 12.
4 * 16 = 64.
12 * 12 = 144.
8 * 8 = 64.
Answer:
22222241688
Step-by-step explanation:
I think I think I think
Calculate axis of symmetry and vertex for equation 4x squared + 8x = 32
Answer:
x=2,−4 hope this was help full
Use the diagram to answer, given that line LM is a common tangent to circle P and circle Q. Leave answers in simplified radical when necessary. (Please let me know if the first blank is correct and answer the second one.)
Answer:
PL = 9
PN = 5√5
Step-by-step explanation:
8/12 = 6/PL
8PL = 72
PL = 9
PN² = 10² + 5² = 100 + 25 = 125
PN = √125 = 5√5
Which ordered pair is the solution to the system of linear equations y= -7x+2 and. y=9x - 14
A (-5,1)
B (1,-5)
C (5, -1)
D (-1,5P
The answer is (1,-5), If you put those two on a graph, that point is where they collide.
Please Answer the question i dont understand
Answer:
C. -2 degrees
Step-by-step explanation:
Answer:
the answer would be c. -2 degrees
Step-by-step explanation:
3 - 5 = -2
have a great day
Ramsay cuts out a piece from a circular cardboard for a school project. The radius of the cardboard is 10 inches and the measure of the central angle is 54 degrees, as shown.
What is the length of the curved boundary of the piece of the cardboard Ramsay cuts out?
Leave in terms of π.
Answer:
34 inches
Step-by-step explanation :
54/360 X 20
It cost 0.17 to mail a postcard and 0.25 to mail a letter. If Dykov spent $4.35 and wrote postcards and letters to 19 friends, how many postcards did he mail?
Answer:
14 Letters and 5 Postcards
Step-by-step explanation:
can someone please help
find the slope/rate of change on graph
a. 1/3
b. 3
c. 30
d. 10
Answer:
m
Step-by-step explanation:
what is the area and yard of 15 and 4
Answer:
The area and yard is 60.
Step-by-step explanation:
15 x 4 = 60
Let me know if that helps!