Answers
Answer:
C
Step-by-step explanation:
first multiply the numerator you will get 729multiply the denominator you get 6561then simplify your answersStep-by-step explanation:
3⁶/3⁸
= 3 × 3 × 3 × 3 × 3 × 3/ 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3
= 1/ 3 × 3
= 1/9 (option C)
= 1/3²
= (1/3)² (option D)
= 3-² (option B)
Related Questions
circle P is representing by the equation (x - 2)^2 + (y + 2)^2 = 9.
plot point P on the given coordinate plane.
Answers
Answer:
Solution given.(x - 2)^2 + (y + 2)^2 = 9.
comparing above equation with (x-h)²+(y-k)²=r²
we get
centre(x,y)=(2,-2)
radius [r]=3units
The mean of the numbers 7, 5x, 4, 8 and 6 is
10. What is the value of x?
Ans:
Answers
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.
Two membership levels are offered at a local bookstore. how many books need to be purchased from each membership so that the 2 membership levels cost the same
Answers
Answer:
.
Step-by-step explanation:
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?
Answers
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
Answers
Answer:
C
Step-by-step explanation:
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
Answers
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.
jim invested in a savings bond for 6 years and was paid simple interest at an annual rate of 3%. the total interest that he earned was $540. how much did he invest?
Answers
Answer:
the principal or invested amount is $457.63
Step-by-step explanation:
The computation of the invest amount is given below:
As we know that
Principal = AMount ÷ (1 + rate × time)
= $540 ÷ (1 + 0.03 × 6)
= $540 ÷ 1.18
= $457.63
Hence, the principal or invested amount is $457.63
Basically we have applied the above formula so that the same would be calculated
help please- I’m in between 962.5 and 1925 cubic meters
Answers
The base is a triangle and it area= 0.5bh
0.5 x 11 x 5= 27.5
27.5 x 35=962.5m^3
The rectangle QPRS is translated 4 units to the up and 6 units to the left. Which rule describes the transformation that was applied to
rectangle QPRS to create rectangle QP'R'S?
o (x,y) → (X-6, y + 4)
o (x,y) → (x-4, y+6)
o (x,y) → (x+4, y-6)
o (x,y) → (X+6 Y-4)
Answers
Answer:
C. (x + 4, y - 6)
Step-by-step explanation:
Going up means to add.
When you go up you are in the positives.
When you go left or down on a graph you are in the negatives.
Please help out will give brainliest
Answers
Answer:
17
Step-by-step explanation:
The image is not too clear. Let us assume we need the base AB
AB = opposite
BC = hypotenuse
Sin theta = opp/hyp
Sin 37 = AB/BC
Sin 37 = AB/28
AB = 28sin37
AB = 28(0.6018)
AB = 16.85
AB ≈ 17
Hence the length of AB is 17
A plant inspector takes a random sample of six month old seedlings from a nursery and measures their heights to the nearest mm .
Answers
Answer:
48
Step-by-step explanation:
Solve using substitution x=-6 6x+10y=14
Answers
Answer:
(-6 , 5)
Step-by-step explanation:
6x + 10y = 14
6(-6) + 10y = 14
-36 + 10y = 14
10y = 50
y = 5
HELP PLEASE FAST
Select the ordered pairs that are solutions to y<2x+5
(-6,6_ (0,8) (2,-1) (-1,3)
Answers
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]
2.
Which set of angle measures can be used to construct a triangle?
A. O 50°, 65°, 75°
B.
45°, 60°, 75°
C
45°, 650, 75°
DO 50°, 45°, 75°
Answers
All you gotta do is add all the different options and see which gives you 180 degrees.
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?
Answers
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
pls help and neatly show work
Answers
Answer:
Step-by-step explanation:
(2x^2 + 10x + 7x + 35) - (x^2 - 3x + 5x - 15)
x^2 + 15x + 50
(x + 5)(x + 10)
x = -10
Step-by-step explanation:
a
(x+5)(2x+7)-(x+5)(x-3)
factorize (x+5) out
(x+5)[(2x+7)-(x-3)]
(x+5)(2x+7-x+3)
(x+5)(2x-x+7+3)
(x+5)(x+10)
b. to get the zeros of the equation,
(x+5)(x+10)=0
x+10=0
x=-10
since the other one has been found already
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.
Answers
Answer:
34 inches
Step-by-step explanation :
54/360 X 20
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.)
Answers
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
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
Answers
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%
Help fast as you can worth 7 points
Answers
Answer:
d
Step-by-step explanation:
Answer: B
Step-by-step explanation: you have to multiply the 4 and 2
helpppppppppppppppppppp
Answers
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.
This is due today please help.
What is the area of the shape.
Answer choices:
24 yd2
36 yd2
39 yd2
30 yd2
Answers
24+6=30
9-6=3
3x4=12/2=6
6x4=24
30 yd^2
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?
Answers
Answer: she is correct
Step-by-step explanation:
35% in decimal form is 3.50
What is the volume of this square pyramid?
Answers
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
Omealio received a grade of 80 on Exam 1. If his grade in Exam 2 was 15% higher, what was his grade in Exam 2? Please help
Answers
Answer:
well if the max grade he could get was 100 then you need to find 15% of 100 which is 15, after that add 15 to 80 and you get 95.
his grade for exam 2 was 95
Step-by-step explanation:
15% of 100 = 15
80 + 15 = 95
Answer:
92
Step-by-step explanation:
15 percent of 80 is 12 percent
80 + 12 = 92
Mhanifa please help these are my last ones !
Answers
Answer:
#1
x/12 = 2/8x = 12/4x = 3#2
m∠E = 180° - (60° + 53°) = 67° ∠E ≅ ∠H ⇒ ∠D ≅ ∠GΔCDE ~ ΔFGH by AA postulate
#16
a = 3.5 in and k = 2/3, a' = ?a' = ak a' = 3.5*2/3 = 7/2*2/3 = 7/3 = 2 1/3 inCorrect choice is D
pleaseeee help me, i dont have much time to finish
Answers
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
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?
Answers
Answer:
14 Letters and 5 Postcards
Step-by-step explanation:
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?
Answers
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
HELP HELP HELP PLEASE HELP NOW HELP
Answers
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