Answer:
[tex]a^3b^2c^6[/tex]
Step-by-step explanation:
[tex]n^x*n^y=n^{x+y}[/tex]
so
[tex]a^6*a^{-3}*a^0=a^{6-3+0}=a^3[/tex]
[tex]b^3*b^1*b^{-2}=b^{3+1-2}=b^2[/tex]
[tex]c^4*c^2=c^{4+2}=c^6[/tex]
put it all together
[tex]a^3b^2c^6[/tex]
Helppp and explain pls and ty
Tha length of a side of equilateral traingle is give below. find the perimeter of traingles
i. l=4cm
ii. 5.5 cm
Answer:
i. 12cm
ii. 16.5cm
Step-by-step explanation:
The side lengths on an equilateral triangle are all equal to each other. So if one side is given we can find the perimeter of the triangle by multiplying one of the sides by 3.
4*3=12
5.5*3=16.5
x^3+(y+z)^3 factorise it broefly.
Answer:
x^3 + y^3 + z^3
Step-by-step explanation:
x^3+(y+z)^3
Remove brackets
x^3 + y^3 + z^3
determine the value of the expression below:
X=1
Y=-2
Find the value of this expression:
y/3x-x
Answer:
Step-by-step explanation:
-2/3(1)-1 = -2/3 - 1 = - 5/3
Answ
Step-by-step explanation:
-2/2 =-1 nha
help pls and thank you :)
Answer: x+2y+6=0
Option 3
Explanation:
y = (-x-6)/2
2y = -x-6
x+2y+6=0
Must click thanks and mark brainliest
two similar buckets hold 13/1/2 and 4 litres respectively..find the ratio of their bucket and the height of the larger bucket is 36cm find the height of the smaller bucket
Answer:
[tex](a)\ Ratio = 13.5 : 4[/tex]
(b) The height of the smaller bucket is 10.7
Step-by-step explanation:
Given
[tex]V_L = 13\frac{1}{2}[/tex]
[tex]V_S = 4[/tex]
[tex]H_L = 36cm[/tex]
Solving (a): The ratios
This is represented as:
[tex]Ratio = V_L : V_S[/tex]
So, we have:
[tex]Ratio = 13\frac{1}{2} : 4[/tex]
Express as decimal
[tex]Ratio = 13.5 : 4[/tex]
Solving (b): The height of the smaller bucket
The ratio of the heights is:
[tex]Ratio = H_L : H_S[/tex]
So, we have:
[tex]13.5 : 4 = H_L : H_S[/tex]
Substitute known value
[tex]13.5 : 4 = 36 : H_S[/tex]
Express as fraction
[tex]4/13.5 = H_S/36[/tex]
Multiply by 36
[tex]36 * 4/13.5 = H_S[/tex]
[tex]10.7 = H_S[/tex]
[tex]H_S = 10.7[/tex]
Solve for x in the drawing above.
Answer:
x is 28°
Step-by-step explanation:
Alternate angles of parallel lines:
[tex]{ \sf{x = \frac{1}{2} \times 56 \degree }} \\ { \sf{x = 28 \degree}}[/tex]
Answer:
Hello,
28°
Step-by-step explanation:
Calculate the complementary angle of x =y
In the triangle on the right :
y+y+56°=180°
y=62°
So x=90°-62°=28°
Identifying linear pairs and vertical angles
Answer:
a. linear pair 5 & 6
b. pair of vertical angles 5 & 2
c. pair of angles that are congruent 3 & 8
Step-by-step explanation:
A linear pair of angles is formed when two lines intersect.
Vertical angles are a pair of non-adjacent angles formed by the intersection of two straight lines. In simple words, vertical angles are located across from one another in the corners of the "X" formed by two straight lines.
If two angles are complements of the same angle (or congruent angles), then the two angles are congruent. All right angles are congruent.
Use the figure to classify the obtuse angle
Answer:
AOB
Step-by-step explanation:
An obtuse angle is larger than 90 and less than 180
COB = 90
AOB is larger than COB and less than 180
Express 3 objects as a percentage of 1 dozen
show working.
Answer:
25%
Step-by-step explanation:
1 dozen = 12
3 out of 12
3/12
Simplify
1/4
Multiply top and bottom by 25 to get a denominator of 100
25/100
25%
what is 13.5/10 simplified
Answer:
27/20
Step-by-step explanation:
[tex]\frac{13.5}{10} = \frac{13.5 * 2}{10 * 2} = \frac{27}{20}[/tex]
Whats the answer i got 1 minute left
Answer:
Step-by-step explanation:
Answer:
[tex]-\frac{3p^8}{4q^3}[/tex]
Step-by-step explanation:
One is given the following expression,
[tex]\frac{15p^-^4q^-^6}{-20p^-^1^2q^-^3}[/tex]
Since (15) and (-20) are both divisible by (5), one can divide both terms by (5) to simplify it.
[tex]\frac{3p^-^4q^-^6}{-4p^-^1^2q^-^3}[/tex]
Now bring all of the terms with a negative exponent to the numerator. Multiply the exponents by (-1), then add them to the exponents of the like term in the numerator. Simplify the resulting exponents
[tex]\frac{3p^-^4q^-^6}{-4p^-^1^2q^-^3}[/tex]
[tex]\frac{3p^-^4^+^(^-^1^)^(^-^1^2^)q^-^6^+^(^-^1^)^(^-^3^)}{-4}[/tex]
[tex]\frac{3p^-^4^+^1^2q^-^6^+^3}{-4}[/tex]
[tex]\frac{3p^8q^-^3}{-4}[/tex]
Rewrite the fraction such that there are no negative exponents. Remember the rule, when bringing a number from the numerator to the denominator and back, multiply the exponent of the number by (-1). One can only switch numbers between the numerator and the denominator when all operations are multiplication or division.
[tex]\frac{3p^8q^-^3}{-4}[/tex]
[tex]-\frac{3p^8}{4q^3}[/tex]
The two-way table shows the number of boys and girls in the school band and choir. Is there a greater percentage of girls in the school band or in the choir? Explain.
Answer:
the school band
Step-by-step explanation:
the band, the band has a percentage of 53.85...,which is (14/26)x100, and the choir has 35.71% which is (5/14)x100
Question 3 of 10
Is ASAM-ADEL? If so, identify the similarity postulate or theorem that
applies.
A. Similar - AA
B. Similar - SSS
C. Similar - SAS
D. Cannot be determined
Answer:
B. SAS
[tex] \frac{sm}{dl} = \frac{27}{9} = 3 \\ \frac{am}{el} = \frac{15}{5} = 3 \\ angle \: m= angle \: l[/tex]
Brainliest please~
By SAS similarity, ΔASM is similar to ΔDLE. Thus, option C is correct.
What is SAS?The SAS theorem is also known as the side-angle-side theorem, also known as a statement in Euclidean geometry that states two triangles are congruent if their corresponding sides are both the same length and their included angles are both of the same measures.
According to the given figure,
SM=27
DL=9
MA=15
LE=5,
∠M=∠L=31°
It is required to determine the similarity postulate that applies. Therefore,
From the ΔASM and ΔDLE, we have
[tex]\frac{SM}{DL}=\frac{27}{9} \\=3\\\frac{ML}{LE}=\frac{15}{5}\\ =3\\ Hence, \frac{SM}{DL}= \frac{ML}{LE}[/tex]
∠M=∠L=31°
Hence, by SAS similarity, ΔASM is similar to ΔDLE.
Therefore, it can be concluded that option C is correct.
Learn more about the SAS theorem here:
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Anybody help please ! Step by step
Your answer is -6.
Hope my answer is helpful to you. Stay blessed .
[tex]\\ \large\sf\longmapsto {27}^{x} = {9}^{x - 3} \\ \\ \large\sf\longmapsto ( {3}^{3} ) {}^{x} = ({3}^{2} ) {}^{x - 3} \\ \\ \large\sf\longmapsto 3 {}^{3x} = 3 {}^{2(x - 3)} \\ \\ \large\sf\longmapsto {3}^{3x} = 3 {}^{2x - 6} \\ \\ \large\sf\longmapsto 3x = 2x - 6 \\ \\ \large\sf\longmapsto 3x - 2x = - 6 \\ \\ \large\sf\longmapsto x = - 6[/tex]
10,4,7
The above set 4 numbers have a mean of 8
what could the mystery number
Answer:
11
Step-by-step explanation:
To calculate the mean you add all the numbers and divide by the number of numbers. There are 4 numbers in this set so we will divide by 4.
Let x be the unknown number,
(10+4+7+x)/4=8(mean)
To solve for x, we first mutliply both sides by 4.
To simplify the left side we can add 10+4+7 and get 21 where now our equation is 21+x=32. Subtract 21 on both sides and you will get 11 which is our answer.
Plug-in 11 and solve for the mean to verify where we do indeed get 8 as the mean.
Find the length of the side labels x round intermediate values to the nearest tenth
Answer:
x = 35.0
Step-by-step explanation:
the height is 26√3 since the left one is a 30-60-90 triangle
so to find x
cos(39) = x/26√3
or, x = 26√3×cos(39)
or, x = 35.0
Answered by GAUTHMATH
Nissa is going to plant 485trees this year. If Nissa plants 5 orchards of trees, how many trees will be in each orchard?
Answer:
"97" is the appropriate answer.
Step-by-step explanation:
Given:
Number of trees,
= 485
Orchards of trees,
= 5
The number of trees in each orchard will be:
= [tex]\frac{Number \ of \ trees}{Orchards \ of \ trees}[/tex]
= [tex]\frac{485}{5}[/tex]
= [tex]97[/tex]
Which type of option helps the importer to hedge risks of exchange rate? A. Put option B. All names are not correct c. Call option d. Call option and put option
Answer:
Call option and put option ( D )
Step-by-step explanation:
During hedging in stock/financial markets both the Call and put option can be used to hedge the trading position of the trader against the change in exchange. This is because the call or put option is used depending on the initial position of the trader.
Call option is used when the trader is currently holding a short position
Put option is used when the trader is currently holding a long position
Will Mark Brainlest Helppp please
Answer:
6
Step-by-step explanation:
how often is that question posted here ?
this means that we need to find the value of x, so that the functional (result) value is 7.
7 = (3x - 4)/2
14 = 3x - 4
18 = 3x
x = 6
To qualify for a certain car loan, a customer must have a credit score of at least 600. In addition, the cost of the car must be at least $5000. Define the variables, write a system of inequalities to represent this situation, and name one possible solution.
Answer:
c ≥ 600
p ≥ 5000
Step-by-step explanation:
Let :
credit score = c
Cost of car, p
To qualify :
Credit score must be atleast 600 ;
c ≥ 600
Cost of car must be atleast 5000
p ≥ 5000
dleleleleldldldldlldldldldlddl
You hit a tennis ball with an initial vertical velocity of of 10 ms The ball leaves the tennis racket 2 meters above the ground How much time does your opponent have before the ball hits the ground on the other side of the net
Answer:
1.02secs
Step-by-step explanation:
Using the equation of motion
v = u+at
Since the ball moves upward then:
a = -g
Substitute into the formula
v = u-gt
Given the following
Initial velocity u = 10m/s
Final velocity v = 0m/s (on the ground)
g = 9.8m/s²
Required
Time t
Substitute the given values into the formula
0 = 10-9.8t
-9.8t = -10
t = 10/9.8
t = 1.02secs
Hence your opponent have 1.02secs
a man sells an article at rupees 600 and makes a profit of 20% of selling price calculate is profit percentage
Answer:
25%
Step-by-step explanation:
profit percentage = (profit/cost price) * 100
selling price = 600
profit = 600 * 20/100 = 120
cost price = 600-120 =480
profit percentage = (120/480) * 100 = 25
PLEASE ANSWER ASAP
Write an inequality and show on a number line all numbers: greater than (-3) but less than or equal to 3
Answer:
The inequality is -3<x<3
Step-by-step explanation:
(-3,3)
find the measure of x and y
Answer:
x = 94, y = 76
Step-by-step explanation:
The opposite angles of a cyclic quadrilateral sum to 180° , then
x + 86 = 180 ( subtract 86 from both sides )
x = 94
and
y + 104 = 180 ( subtract 104 from both sides )
y = 76
solve for y.
y + 5.74 = 9.62
Answer:
3.88
Step-by-step explanation:
1. Subtract 5.74 from both sides of the equation
9.62-5.74=3.88
If f(x) = x2 + 1, what is the ordered pair for x =
-4.?
Answer:
(-4,17)
Step-by-step explanation:
y = f(x)
f(-4) = (-4)^2+1 = 17
y-coordinate = 17
Answer:
D). (-4, 17)
Step-by-step explanation:
Plug in -4 for x.
[tex]f(-4)=(-4)^2}+1[/tex]
Solve.
[tex]f(-4)=16+1[/tex]
[tex]f(-4)=17[/tex]
We already know that the x-coordinate is -4. (-4, y)
f(x) stands for y, so y=17.
(-4, 17)
I hope this helps!
2. In what ratio does the point (5, 4) divide the given line joining the points (2,1) and (7,6)
Answer:
3/2
Step-by-step explanation:
Let it be
C (5;4) , A (2;1) ; B(7;6)
Suppose that C divide the line AB in ratio m/n from point A (AC is m, CB is n)
Use the formula xc=(m*xb+n*xa)/ (m+n)
5=(m*7+2n)/(m+n)
5m+5n= 7m+2n
2m=3n
m/n=3/2
Find the present value that will grow to $24000 if interest is 3% compounded quarterly for 14 quarters. The present value is $ . (Round to the nearest cent as needed.)
Answer:
$21,616.26.
Step-by-step explanation:
24000 =P(1 + 0.03/4)^14
P = 24000 / (1 + 0.03/4)^14)
21,616.26.
=
The present value that will grow to $24000 if interest is 3% compounded quarterly for 14 quarters is $21,482.40
To find the present value that will grow to $24,000 at 3% interest compounded quarterly for 14 quarters, we use the formula for compound interest:
[tex]PV = FV / (1 + r/n)^{(n*t)}[/tex]
Where:
PV = Present Value
FV = Future Value ($24,000)
r = Annual interest rate (3% or 0.03 as a decimal)
n = Number of compounding periods per year (quarterly, so n = 4)
t = Number of years (14 quarters = 14/4 = 3.5 years)
Substitute the values into the formula:
PV = [tex]$24,000 / (1 + 0.03/4)^{(4*3.5)}[/tex]
PV = [tex]$24,000 / (1 + 0.0075)^{(14)}[/tex]
PV = [tex]$24,000 / (1.0075)^{14}[/tex]
PV ≈ $21,482.40 (rounded to the nearest cent)
Therefore, the present value required for it to grow to $24,000 in 14 quarters at 3% interest compounded quarterly is approximately $21,482.40.
In this explanation, we used the formula for compound interest to calculate the present value (PV). The formula accounts for the future value (FV), the annual interest rate (r), the number of compounding periods per year (n), and the time in years (t). By plugging in the given values and performing the calculations, we arrived at the present value of approximately $21,482.40.
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