42.
*=3"y=9,- 27 and "y"? - 1, then abe is a
(a) 1
) (b) 27
(e)
( (d) 0
43. In given fig., the diagonals of a rectangle ABCD
Answers
Answer: (d) 0
we have:
[tex]y=9^{b}=(3^{2})^{b}=3^{2b}\\\\z=27^{c}=(3^{3})^{c}=3^{3c}\\\\\\x^{bc}.y^{ca}.z^{ab}=1\\\\<=>(3^{a})^{bc}.(3^{2b})^{ca}.(3^{3c})^{ab}=1\\\\\\<=>3^{abc}.3^{2abc}.3^{3abc}=1\\\\\\<=>3^{6abc}=3^{0}\\\\\\=>6abc=0\\\\\\<=>abc=0[/tex]
Step-by-step explanation:
Answer:
abc = 0
Step-by-step explanation:
[tex]x = {3}^{a} \\ y = {9}^{b} = {3}^{2b} \\ z = {27}^{c} = {3}^{3c} \\ \\ \because \: {x}^{bc} {y}^{ca} {z}^{ab} = 1 \\ \\ \therefore \: ( {3}^{a} )^{bc} ( {3}^{2b} )^{ca} ( {3}^{3c} )^{ab} = 1 \\ \\ {3}^{abc} .{3}^{2abc} .{3}^{3abc} = 1 \\ \\ {3}^{abc + 2abc + 3abc} = 1 \\ \\ {3}^{6abc} = {3}^{0} \: \\ ( \because \: {3}^{0} = 1) \\ \\ \because \: bases \: are \: equal \\ \therefore \: exponents \: will \: also \: be \: equal \\ \\ \implies \: 6abc = 0 \\ \\ \implies \: \red{ \bold{abc = 0 }}[/tex]
Related Questions
A different building has office space for rent that doesn't not require a one time fee, but you must pay rent of $1000 per month. If you have $15000, at which building can you rent office space for the greatest amount of time
Answers
Answer: First building at 17.5 months
Step-by-step explanation:
Months you can stay in the first building.
One time fee of $1,000 reduces the amount you have to;
= 15,000 - 1,000
= $14,000
Rent is $800. Months you can stay;
= 14,000/800
= 17.5 months
Months you can stay in second building;
Rent is $1,000 and no one time fee;
= 15,000/1,000
= 15 months
You can stay longer in the first building for 17.5 months.
Please answer this question!!!
Answers
9514 1404 393
Answer:
x = 9 cm
Step-by-step explanation:
The formula for the surface area of a cylinder can be written as ...
SA = 2πr(r +h) . . . . . where r is half the diameter, and h is the height
For the given cylinder, we have ...
972π cm² = 2π(x)(x+5x) = 12πx²
Dividing by 12π gives ...
81 cm² = x²
Taking the square root, we have ...
9 cm = x
Daniela is saving her babysitting money to buy a bicycle that costs $290. The first week, she saved $66, and the second week she saved $113. Use the diagram to find b, the amount of money Daniela still needs to save for a bike. $290 $113 $66
Answers
Answer:
b = 111
Step-by-step explanation:
66 + 113 = 179
So in order to have a total of $290, you need about $111 more dollars.
270 - 179 = 111
So the final answer is 111.
Answer:
$111
Step-by-step explanation:
Cost of the bicycle=$290
total saved= $66 + $113
=$179
b = $290 - $179
=$111
A spinner is evenly divided into eight sections: three are red, three are white and two are green. If the spinner is spun twice, then the probability of getting the same color twice is
Answers
Answer:
11/32
Step-by-step explanation:
Given that:
Red section (R) = 3 ; white section (W) = 3 ; green section (G) = 2
Total Number of sections = 8
Probability of getting the same color on two spins :
Probability = (required outcome / Total possible outcomes)
Either P(RR) or P(WW) or P(GG)
(3/8 * 3/8) + (3/8 * 3/8) + (2/8 * 2/8)
9/64 + 9/64 + 4/64
(9 + 9 + 4) / 64
22 / 64
= 11/32
the probability of getting the same color twice is
[tex]\frac{11}{32}[/tex]
Given :
A spinner is evenly divided into eight sections: three are red, three are white and two are green.
Total of 8 sections.
red=3
white =3
green =2
Probability of getting two red color =[tex]\frac{3}{8} \cdot \frac{3}{8}= \frac{9}{64}[/tex]
Probability of getting two white colors =[tex]\frac{3}{8} \cdot \frac{3}{8}= \frac{9}{64}[/tex]
Probability of getting two green colors=[tex]\frac{2}{8} \cdot \frac{2}{8}= \frac{4}{64}[/tex]
Probability (getting same color twice)=[tex]\frac{9}{64} + \frac{9}{64}+ \frac{4}{64}=\frac{22}{64} =\frac{11}{32}[/tex]
Learn more : brainly.com/question/20988561
Due in 20 minutes help Please!
Answers
Answer:
A
Step-by-step explanation:
I don't think you have to explain
What is the slope of the line that passes through the points (-2,4) and (3, -2)? need answers Fast!
Answers
Answer:
guchahdhxjvabdnx
Step-by-step explanation:
guvnhsnvcjbcgn
A set of sweater prices are normally distributed with a mean of 58 dollars and a standard deviation of 5 dollars. What proportion of sweater prices are between 48.50 dollars and 60 dollars?
Answers
Answer: 0.6267
Step-by-step explanation:
Tomatoes are on sale for 3 lb for$1.09 how much wil 5 lb of tomatoes cost
Answers
3lb/$1.09
3 3
1lb/$0.363
1lb x 5/ $0.363 x 5
Answer - 5lb/$1.815
Diego measured the length of a pen to be 22 cm.
The actual length of the pen is 23 cm.
What is the percent error for Diego’s measurement?
Explain or show your reasoning.
Answers
Based on this question, we know that Diego measured the length of a pen which were to be 22cm so that we would get the actual length of the pen that is 23cm.
So what we need to do is do the percentage//which is decreasing
(22-22)/22x100
=1/22x100
=4.5%, therefore the percent error for Diego’s measurement is 4.5% because what we did was find the percentage decrease by multiplying 100 by 22 minus 22 over 22.
Answer:
let's talk here as to get rid of him
a car travels 30 1/5 hour.what is the average speed,in miles per hour,of the car?
Answers
Answer:
4
Step-by-step explanation:
because if its one out of 5 divide 5 by 30 then u get 4
1st Equation
2nd Equation
3rd Equation
2+ 3 = 5
9 + (-1) = 8
11 to x = 7
3 + 2 = 5
8+1=9
5-3 = 2
1-(-8)=9
5- 2 + 3
8-9=1
Answers
Answer:2nd
Step-by-step explanation:
([tex]\sqrt{\frac{2}{3}[/tex]) plsexplain and solve hurry
Answers
Answer:
√6/3
Step-by-step explanation:
Answer:
srry i need points
Step-by-step explanation:
carney needs $60 to buy her mother a gift. She has saved 25% of that amount so far. Bow much has she saved so far - i really need HELPPP
Answers
Answer:
25 percent off 60.00 is 45.00
Step-by-step explanation:
Find the value of x.
&
35°
116°
820
Answers
Assume that y varies directly with x. If y = 2/5 when
x= 1/3, find y when x = 1/4. Enter in any fractions using
a/ (e.g. "1/2" is the same as ?).
Answers
Answer:
y = 3/10
Step-by-step explanation:
(1/3) / (2/5) = (1/4) / y
y = (1/4) (2/5) / (1/3) = (2/20) / (1/3) = 3/10
check: (1/3) / (1/4) = 4/3
(2/5) / (3/10) = 20/15 = 4/3
Is anyone else a libra
Answers
Answer:
No
Step-by-step explanation:
I'm a Scorpio, the sign everyone hates for some reason
Answer:
I'm a libraaaa <3
Step-by-step explanation:
In PQR. PQ = 11 feet. QR = 7 feet, and PR = 15 feet. Which lists the angles in measures order from smallest to largest?
A. P. R. Q.
B. R. Q. P.
C. P. Q, R
D. Q. R, P
A B C or D?
Answers
Answer:
A: P, R, Q
Step-by-step explanation:
Because since PQ = 11, then you have to put an arrow across from that side with is angle R and that's Middle. QR = 7, which you have to put an across from that side with is angle P, and that's smallest. PR = 15, which you have to put an arrow across from that side which is angle Q, and that's the largest. Now put everything in order from the angles smallest to largest like this,
P, R, Q.
Hope this helps :)
The angles in measures order from smallest to largest is <P, <Q and <R.
What is Triangle property?If two triangle angles are not equal, the lengths of the sides that face them are also not equal, with the longer side facing the larger angle.
Given:
PQ = 11 feet. QR = 7 feet, and PR = 15 feet.
The Largest side is PR = 15 feet.
So, the angle opposite to largest side is also largest, i.e., <R is largest.
and, smallest side is QR = 7 feet,
So, the angle opposite to smallest side is also smallest, i.e., <P is smallest.
Hence, angles in measures order from smallest to largest is <P, <Q and <R.
Learn more about Triangle property here:
https://brainly.com/question/28776462
#SPJ2
(6,11), (x, 15); slope =2 find x
Answers
Answer:
x = 8
Step-by-step explanation:
m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
(6, 11)
(x, 15)
m = 2
[tex]\frac{15-11}{x-6}[/tex] = 2
2(x - 6) = 15 - 11 ⇒ x = 8
PLEASE PLEASE HELP!!! WILL GIVE BRAINLIEST
Answers
Answer:
a. this b>9 B. the first one C. the second one
Step-by-step explanation:
D is the first one
Which expression is equivalent to
23x + 11y + 18x?
A. 52x
B. 34x + 18y
C. 23x + 29y
D. 41x + 11y
Answers
You add the like terms so the 23 and 18 to equal 41
Explanation:
23x+11y+18x=?
23x+18x= 41x
hence, the equivalent form of this expression is:
41x+11y
Hope it helps!!!!:):)
Switch the rule 2(x - 5) + 12 into simplified (or standard) form.
Please show the work aswell
Answers
Answer:
6x + 9
Step-by-step explanation:
2(3x + 1) + 7, distribute 2 through the parentheses
↓
6x + 2+7
↓
6x + 9
Hope this helps!:)
Evaluate when x = 8: 2x + X - 10
Answers
Answer:
14
or x+6
Step-by-step explanation:
Which shows how to find the value of this expression when x=-2 and Y = 5? (3x^3y^-2)^2
3^2(-2)^6/5^4
3(-2)^6/5^4
3^2(5)^6/(-2)^4
3/(2)^65^4
plz answer I'll give Brainliest to first (as long as it's right lol)
Answers
an observer 12 m away from the foot of tree observes that the angle of elevation is 30° find the height of tree
anyone send me photo plz
Answers
Answer:
in drawing
Step-by-step explanation:
Step-by-step explanation:
I Had send you the particular brief explanation for the question
You will get brainliest!
Answers
Answer:
15,90
Step-by-step explanation:
it goes by 6
(14 x 6=84) and so on and so forth
Solve for x 6x^2=2x-1
Answers
Answer:
[tex]\displaystyle x=\frac{1\pm i\sqrt{5}}{6}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]Algebra II
Imaginary Roots: √-1 = iStep-by-step explanation:
Step 1: Define
6x² = 2x - 1
Step 2: Rewrite
Subtract 2x on both sides: 6x² - 2x = -1Add 1 to both sides: 6x² - 2x + 1 = 0Step 3: Identify Variables
a = 6
b = -2
c = 1
Step 4: Solve for x
Substitute [QF]: [tex]\displaystyle x=\frac{2\pm\sqrt{(-2)^2-4(6)(1)} }{2(6)}[/tex]Exponents: [tex]\displaystyle x=\frac{2\pm\sqrt{4-4(6)(1)} }{2(6)}[/tex]Multiplication: [tex]\displaystyle x=\frac{2\pm\sqrt{4-24} }{12}[/tex](Square Root) Subtract: [tex]\displaystyle x=\frac{2\pm\sqrt{-20} }{12}[/tex]Factor: [tex]\displaystyle x=\frac{2\pm \sqrt{-1} \sqrt{20} }{12}[/tex]Simplify: [tex]\displaystyle x=\frac{2\pm 2i\sqrt{5} }{12}[/tex]Factor GCF: [tex]\displaystyle x=\frac{2(1\pm i\sqrt{5} )}{12}[/tex]Simplify: [tex]\displaystyle x=\frac{1\pm i\sqrt{5}}{6}[/tex]
What does the x equal
Answers
3 friends were at a Mexican Restaurant. They were feeling hungry, so they ordered 8 burritos to eat. They want to share the burritos equally and eat them all. How much will each friend get? Write your answer as a fraction.
~PLEASE ANSWER QUICKLY~
Answers
Answer:
8/3 or 2 and 2/3
Step-by-step explanation:
Answer:
2.666
If the number you're dividing by has a decimal, move the decimal point all the way to the right counting the number of places you've moved it to. Then move the decimal point in the number you're dividing the same number of places to the right.
Insert a decimal point in the quotient (answer) space, exactly above the decimal point in the number under the division bar.
Divide until the remainder is zero, or until you have enough decimal places in your answer. You can also stop if the remainder repeats because this indicates that your answer is a repeating decimal.
Solve the following inequality algebraically.
|x+4| ≤ 9
Answers
Answer:
-13 ≤ x ≤ 5
Step-by-step explanation:
What is the solution to the inequality below?
-8m > 40
Answers
Answer:
m<-5
Step-by-step explanation:
Answer:
In inequality form: m<-5 ; In interval notation: negative infinity, -5
Step-by-step explanation: