Answer:
y = 1/2.
Step-by-step explanation:
Note that 27 = 3^3 and 9 = 3^2:
27^y
= (3^3)^y
= 3^3y.
9/3^y
= 3^2/3^y
= 3^(2-y)
So 3^3y = 3^(2-y)
and therefore:
3y = 2 - y
4y = 2
y = 1/2.
Given that:
27^y = 9/3^y
⇛27^y × 3^y = 9
⇛(3^3)^y × 3^y = 9
⇛3^3y × 3^y = 9 [°.° (a^m)^n = a^mn]
⇛3^(3y+y) = 9 [°.° a^m×a^n = a^m+n]
⇛3^(4y) = 9
⇛3^(4y) = 3^2 [Bases equal ⇛exponents to equal]
.°. 4y = 2
y = 2:4 = 1/2
Hence, the value of y is 1/2.
Barbara wants to buy muffins. Which is the best deal? O a. 9 muffins for $7.92 O b. 4 muffins for $3.60 O c. 6 muffins for $5.34 O d. 8 muffins for $7.60 N
Answer:
D
Step-by-step explanation:
Hope it can help you lovelots
#LEARN WITH BRAINLY
Find the value of x in each case
Answer:
Step-by-step explanation:
∠AEB + ∠FEC = 180 {linear pair}
∠AEB = 180 - 4x
DE // AB , AE is transversal,
∠EAB = ∠DEA {Alternate interior angles}
∠EAB = 2x
∠EBC = ∠AEB + ∠EAB {Exterior angle property}
6x = 180 - 4x + 2x
6x = 180 - 2x
Add 2x to both sides
6x + 2x = 180
8x = 180
x = 180/8
x = 22.5
82837848+8383830.84-73327.00.73 =?
Answer:
91148351.8327
Step-by-step explanation:
Calculator
HELP ME I GOT 67 POINTS THAT I WILL GIVE AND ILL GIVE YOU BRAINIST
Answer:
35.325 in³
Step-by-step explanation:
Since the base of a cylinder is a circle,
area of cylinder= πr²h
Radius, r
= diameter ÷2
= 3 ÷2
= 1.5 inches
Volume of can
= 3.14(1.5)²(5)
= 35.325 in³
A population of river otters has a population growth rate of 0.2 per year. If the population starts out with 50 individuals and there is no death and no migration, how many individuals would you expect after one year and after two years
Answer:
1 year= 60
2 year= 72
Step-by-step explanation:
1 year:
There are 50 otters and they grow at a rate of .2 so you multiply 50 by .2 to get 10. Now you just add 50 to 10 because 50 is how much it started as and 10 is how much were born. So the anwser for 1 year is 60.
2 years:
Now you have a start of 60 otters because it is the second year so you multiple 60 by .2 to get 12. Now you add 12 to 60 because the second year started with 60 and 12 were born. SO the anwser is 72.
I hope this helps!
What are the x and y -intercepts for the equation 5x - 4y = 10
Answer:
x=2
y= -2.5
Step-by-step explanation:
x int
1.) set y to 0 (5x -4(0)=10
solve for 5x=10
y int
1.) set x to 0
solve for -4y=10
Answer:
x=2, y=-5/2
Step-by-step explanation:
to find the 'x' intercept, set the 'y' value to zero and solve:
5x - 4(0) = 10
5x = 10
x = 2
to find the 'y' intercept, set the 'x' value to zero and solve:
x(0) - 4y = 10
-4y = 10
y = -10/4 or -5/2
Solve the equation-10 +1 +7x =37
Answer:
Answer in Explanation
Step-by-step explanation:
-10 + 1 + 7x = 37
-9 + 7x = 37
Add 9 on both sides to leave 7x alone
7x = 46
Divide by 7 to leave x alone
x = 46/7 or 6.57
If the equation is positive 10 at the beginning instead of -10 then this is the answer for that:
10 + 1 + 7x = 37
11 + 7x = 37
Subtract 11 from both sides to leave 7x alone
7x = 26
Divide by 7 to leave x alone
x = 26/7 or 3.7
The formula for the area of a rhombus with diagonals of lengths c and d is A= 1/2 cd.
a. Solve the formula for c.
b. The area of a rhombus is 35 square feet. The length of one of the diagonals is 10 feet. What is the length of the other diagonal?
c. In a square (which is a rhombus), the lengths of the diagonals are the same. If a square has an area of 32 square feet, then what is the length of each diagonal
Answer:
I think it's A
Step-by-step explanation:
i apologize if I'm wrong
Which product is represented by the hundredths grid A. 0.5 X 0.02 = 0.01
B. 5 X 0.2=1
C. 0.5 X 0.2 = 0.1
D. 0.05 X 0.02 = 0.001
Answer:
The product of A would be the answer
Ping chooses four numbers.
The mode of these four numbers is 8, the range is 7 and the mean is 11.
Find Ping's four numbers.
Pleaseee helpppp me!!!!!!!!!!!!!
Answer:
The graph is linear and increasing from x = -6 to x = -2.
The graph is nonlinear and decreasing from x = -2 to x = 0.
Step-by-step explanation:
Linear means it has a constant slope, or a constant rate of change. That makes a straight line on a graph. On the given graph, you can see the straight line increasing from x = -6 to x = -2.
Non-linear is just anything that isn't a constant slope, and makes a curve on a graph. On the given graph, the curve decreases from x = -2 until x = 0, where it reaches its lowest point and starts heading upwards again.
5
Find the arc length of the semicircle.
Elther enter an exact answer in terms of or use 3.14 for and enter your answer as a decimal,
units
Answer:
area is 39.27
Step-by-step explanation:
help me please!!!!!! 20 points!
Answer:
Step-by-step explanation:
2x = x + 40
2x - x = x - x + 40
x = 40
∠I = ∠Q = 33°
∠H = ∠P = 80°
∠J = ∠R = 67°
Solve the proportion for v.
6
0]>
9 =
100
V
v = [?]
Answer:
v = 12
Step-by-step explanation:
[tex]\frac{9}{v}[/tex] = [tex]\frac{6}{8}[/tex] ( cross- multiply )
6v = 8 × 9 = 72 ( divide both sides by 6 )
v = 12
Answer:
v=12
9/v =6/8 (cross - multiply)
6v = 8 x 9 = 72 (divide both sides by 6)
v = 12
Step-by-step explanation:
that's my answer
!!!WILL MARK BRAINLIEST IF ALL ARE ANWSERED!!! please provide short explanations
Answer:
20= 20
21. 10
22. 1.8
23. 4.4
24. 32
25. 7/9
If a=6, b=12,and c=4, then what does 2ab-c^2 equal?
Answer: 2(6)(12)-4^2 = 128
What is the prime factorization of 100,000?
Answer: 2^5× 5^5
Solve for x. 5.8 = 4x+0.2
Answer: x= 1.4
Find the area of this shape.
Answer: Area = 1.21
What is the lateral surface area of this rectangular prism?
Answer: 208 in^2
5/9 + 1/3 × 1/3 = 0.66666666666 = 2/3
Step-by-step explanation:
The prime factorization of 100,000 is 2^5 × 5^5. Since it has a total of 10 prime factors, 100,000 is a composite number.
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5.8-0.2=4+0.2−0.2
5.6 = 4x
5.6/4 = 4x/4
x= 1.4
-----------------------------------------------------------------------------------------------------
Square sides are equal..
A=a^2=1.1^2≈1.21
-----------------------------------------------------------------------------------------------------
The lateral surface area of a rectangular prism can be calculated by finding the sum of all the lateral faces of the prism, i.e. the total area excluding the area of the bases. The formula to find the surface area of a rectangular prism is given as, Lateral surface area of a rectangular prism = 2(l + b) h square units.
When a prism has its bases facing up and down, the lateral area is the area of the vertical faces. (For a rectangular prism, any pair of opposite faces can be bases.) The lateral area of a right prism can be calculated by multiplying the perimeter of the base by the height of the prism.
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1002828197382728173927937294729929382991divided by 182883929190.837283828281-737273728377273737272
Answer:
4.766141725565771e23
Step-by-step explanation: it is impossibel to explane so coculated it and i got 4.766141725565771e23. so there you go.
In a class of 20 students, 5 have a brother and 11 have a sister. There are 3 students who have a brother and a sister. What is the probability that a student who does not have a brother has a sister?
The probability that a student who does not have a brother has a sister is 53.33%.
ProbabilityGiven that in a class of 20 students, 5 have a brother and 11 have a sister, and there are 3 students who have a brother and a sister, to determine what is the probability that a student who does not have a brother has a sister the following calculation must be performed:
20 - 5 = 10011 - 3 = X15 = 1008 = X8 x 100 / 15 = X800 / 15 = X53.33 = XTherefore, the probability that a student who does not have a brother has a sister is 53.33%.
Learn more about probability in https://brainly.com/question/13553988
the sum of two rational numbers is 17/18 If one of the numbers is 5/24 find the other number
Step-by-step explanation:
x + y = 17/18
x = 5/24
5/24 + y = 17/18
to bring both fractions to the same denominator (I see it is 72, but let's do it formally correct for you to learn), we look for the LCM, the lowest common multiple of both.
for this we split both numbers into their prime factors and then build the the combination of the longest chains per prime factor :
24 = 2×2×2×3
18 = 2×3×3
the LCM (and the new denominator) is then
2×2×2×3×3 = 8×9 = 72
so,
15/72 + y = 68/72
y = 53/72
53 is a prime number, so the fraction cannot be further refined.
!!Help!!
solve for x
WXY = XYW ( = 41 ) ⇒ XYW is a isosceles triangle
⇒ XW = YW
⇒ 54 = 6x + 6
⇒ 6( x + 1 ) = 54
⇒ x + 1 = 9
⇒ x = 8
ok done. Thank to me :>
Is that the right answe plzzz help me
Answer:
Your answer is All of the Above.
Hope this helps!
Step-by-step explanation:
OA is the radius
OC is the radius
and OB is the radius
( They are all half length of the circle )
The base of the following pyramid is a square. If the volume of
the pyramid is 360 feet^3, what is the missing length? Round the
answer to the nearest hundredth.
Answer:
h = 12.52 ft
Step-by-step explanation:
volume of pyramid is 1/3*b*l. b is the base and l is the height we know that this equals 360 because it is given in the text. we also know b=8^2 since the base is a square so b=64. divide 360 by 1/3*64*pi to get l, l=5.3715. next we will use the pythagorean theorem to find h. first find the diagonal of the base: 8sqrt(2), now using the pythagorean theorem, we have h^2=5.3715^2 + (8sqrt(2))^2= 28.8528+128=156.8528. square root to get12.5241
PLS HELP ASAP ILL GIVE BRAINLKEST PLS THANKS
Answer: A number is a minimum of 6
Step-by-step explanation:
The < and > mean greater or less than. I learned these with this trick when I was little imagine they were mouths or maybe Pac-Man or something, the mouth would ways point to the bigger number. So here it means n is bigger than 6. When there is a line under the < or > it means it can also be equal to the number. SO this means n is equal to or bigger than 6 meaning the number of n is a minimum of 6.
Choose the steeper line.
y=-6x+1
or
y=-3x-2
Answer: y=-3x-2
Step-by-step explanation:
Slope is rise over run. The slope of y=-3x-2 is -3, which is 1 down/up and 3 to the right/left. The slope of y=-6x+1 is -6 which is 1 down/ up and 6 to the right/left. When the graph is going 3 steps to the right/left, it is steeper than when its going 6 steps to the right/left.
a%b when a=2 and b=1/2
Answer:
0.01
Step-by-step explanation:
plz help!
1. (0, y) , (2, 7); m = 1/2
y = _____
2. (4, 2) , (5, y) m = 4
y = _____
Answer:
Step-by-step explanation:
y = mx + b, where m is the slope and y the y-intercept (the value of y when x=0).
(0, y) , (2, 7); m = 1/2
We can start with y = (1/2)x + b
To find b, use one of the two given points. I'll use (2,7), since (0,y) isn't helpful.
y = (1/2)x + b
7 = (1/2)*2 + b
7 = 1 + b
b = 6
The equation is y = (1/2)x + 6.
Now find (0,y) by using x = 0:
y = 6
The second point is (0,6)
============
2. (4, 2) , (5, y) m = 4
y = mx + b
y = 4x + b
Use (4,2) and solve for b:
2 = 4*4 + b
b = -14
The equation is y = 4x - 14
Now find (5,y):
y = 4x - 14
y = 4*5 - 14
y = 20 - 14
y = 6
The second point is (5,6)
Se attached graph.
--
how to work out 85% of a number
Answer:
you change the percent into a decimal and multiply because of means multiply
Step-by-step explanation:
lets say you finding 85% of 4
.85 x 4
The coordinates of which point are (–3, –6)?point Apoint Bpoint Cpoint D
The coordinates of which point are (–3, –6) is point B
What are coordinates?Coordinates are the position of a point in the coordinate plane.
From the graph, we have the following highlights
Point B is at x = -3, and y = -6
The above means that:
(x,y) = (-3,-6)
Hence, the coordinate of (-3,-6) is point B
Read more about coordinates at:
https://brainly.com/question/17206319
Answer:
its point b edge 2022
Step-by-step explanation:
The length and breadth of a rectangle are (2x + 1) cm
and (x + 3) cm, respectively. If the area of the
rectangle is 88 cm^2 ,find:
a. the value of x
b. the perimeter of the rectangle.
Answer:
Step-by-step explanation:
Area = 88 sq.cm
length * width = 88
(2x + 1)(x + 3) = 88
2x*(x +3) + 1*(x + 3) = 88
2x*x + 2x*3 + x + 3= 88
2x² + 6x + x + 3 = 88
2x² + 7x + 3 - 88 = 0
2x² + 7x - 85 = 0
2x² - 10x + 17x - 85 = 0
2x(x - 5) + 17(x - 5) =0
(x - 5)(2x + 17 )= 0
x - 5 = 0 {Ignore 2x +17 = 0 as it gives a negative value}
x = 5
b) length = 2x + 1 = 2*5 + 1 = 10 +1 = 11 cm
breadth = x+ 3 = 5 + 3 = 8 cm
Perimeter = 2*(length +breadth}
= 2* (11 + 8)
= 2 * 19
= 38 cm
HELP ME
Todd surveyed the 25 7th grade students in the art club to determine what movies 7th grade students prefer.
Explain why this is not an appropriate sample to use to infer the preference of all 7th grade students.
Describe a better sampling method.
HELPPP
Answer:
Step-by-step explanation:
It isn't an appropriate sample to use to infer the preference of all 7th grade students because they only get the students in one club, a better sampling method would be to get the answer from 25 grade 7 students in other clubs including the art club.
- i'm sorry if this doesn't make any sense
Todd's method of sampling is incorrect because he chose the student from a single club. To make it better he has to choose students from different clubs.
What is a sample method?The sampling method is the method of selecting the subset from the set to make a statical inference.
Todd surveyed the 25, 7th-grade students in the art club to determine what movies 7th-grade students prefer.
This method is not an appropriate sample to use infer preference of all 7th-grade students because they only get the students in one club, a better sampling method would get the correct surveyed from 25 grade 7 students in other clubs including the art club.
More about the sample method link is given below.
https://brainly.com/question/15125943
5x - 14 = 3(3x + 6) + 5
Answer:
x= -9.25
Step-by-step explanation:
5x - 14 = 3(3x + 6) + 5
5x - 14 = 9x + 18 + 5.......distribute
-4x = 37.............move values and combine like terms
x= -9.25.............divide both sides by -4