Answer: 33
Step-by-step explanation:
First we have to figure out what 3⁵ is. It basically means multiply 3 five times. So the equation would be 3 x 3 x 3 x 3 x 3. This equals to 243.
Next we have to figure out what 3⁶ is. It basically means multiply 3 six times. So the equation would be 3 x 3 x 3 x 3 x 3 x 3. This equals to 729.
Then we have to divide 243 by 729. The easiest way to do this is by putting it into a fraction. The fraction would be 243 over 729. When you simplify that fraction, it brings us to the answer, which is 33.
Hope this helped :)
The value of [tex]3^{5}[/tex] ÷ [tex]3^{-6}[/tex] is 177147.
We have - [tex]3^{5}[/tex] ÷ [tex]3^{-6}[/tex]
We have to find its quotient.
Evaluate the following expression - [tex]\frac{a^{n} }{a^{m} }[/tex].You can simplify the expression as follows -
[tex]\frac{a^{n} }{a^{m} }= a^{n-m}[/tex]
According to the question, we have -
[tex]3^{5}[/tex] ÷ [tex]3^{-6}[/tex]
Using the rule mentioned above, we can solve this as -
[tex]3^{5}[/tex] ÷ [tex]3^{-6}[/tex] = [tex]\frac{3^{5} }{3^{-6} }[/tex] = [tex]3^{5-(-6)} = 3^{11}[/tex]
Expanding [tex]3^{11}[/tex] = 177147
Hence, the value of [tex]3^{5}[/tex] ÷ [tex]3^{-6}[/tex] is 177147.
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Please help me with this
Answer:
Bottom left
Step-by-step explanation:
For it to be scalene, all 3 sides must be of different length, so cross off D. Acute means all angles are less then 90°, so cross off the top 2.
In science class, Scott estimates the mass of a sample to be 109 grams. The actual mass of
the sample is 104 grams. Find the percent error of Scott's estimate. Round your answer to
the nearest tenth.
Answer:
Percent of error = 4.80% (Approx)
Step-by-step explanation:
Given:
Mass of sample = 109 gram
Actual mass of sample = 104 gram
Find:
Percent of error.
Computation:
Error = Mass of sample - Actual mass of sample
Error = 109 gram - 104 gram
Error =5 gram
Percent of error = (Error / Actual mass of sample)100
Percent of error = (5 / 104)100
Percent of error = 4.80% (Approx)
If the graph of the polynomial intersects the x-axis at two points, then the
polynomial has how many
zeros.
Answer:
Two zeroes
Step-by-step explanation:
A zero is where the graph meets the x-axis. If it hits the axis twice, there are two zeroes.
(3+4x)(3-4x)=
THIS IS SO HARD IM GOING CRAZY !!!!!!!!!!!!
Step-by-step explanation:
Actually, it isn't that hard. Remember the difference of squares? (a + b)(a - b) = a² - b² and in this case 9 is a and 4x is b so our answer is 81 - 16x².
Answer:
9 - 16x²
Step-by-step explanation:
(3+4x)(3-4x)= 3²- (4x)²= 9 - 16x²
Linda has scored 84, 93, 91, and 60 on her previous four tests. What score does she need on her next test so that her average (mean) is 82?
Answer:
She needs to score 82
Step-by-step explanation:
Mean of five test scores = 82
Let the score she got in fifth test = x
[tex]\frac{84+93+91+60+x}{5}=82\\\\\frac{328+x}{5}=82\\\\328+x=82*5\\\\328+x=410\\\\x=410-328\\\\x=82[/tex]
A fruit basket contains seven apples, four bananas, and eight pears. If a piece of fruit is picked at random from the basket, which of the following is closest to the probability that it is not a banana?
1) 0.21
2) 0.68
3) 0.79
4) 0.32
Answer:
1) 0.21
Step-by-step explanation:
This is because there are 4 bananas out of all 19 fruits. 4/19 is equal to 0.21052631578.
A box of 120 crayons contains variations of three
colors: blue, red, and purple. The ratio of blue
crayons to red crayons is 11:2, and the ratio of the
number of red crayons to purple crayons is 2:7. If
all of the purple crayons were removed, how many
crayons would be left in the box?
E. 16
F. 42
G. 78
H. 113
Answer:
G. 78
Step-by-step explanation:
Blue to red=11:2
Red to purple=2:7
Total crayons =120
Total ratio
=11+2+7
=20
Blue=11
Red=2
Purple=7
Purple crayons
=Ratio of purple /Total ratio× Total crayons
=7/20×120
=42
If all the purple crayons were removed
=Total crayons - purple crayons
=120-42
=78
The diagram below shows a balanced hanger.
Which of the changes would keep the hanger in balance? Select all that apply.
a. Adding two circles on the left and a square on the right
b. Adding 2 triangles to each side
c. Adding two circles on the right and a square on the left
d. Adding a circle on the left and a square on the right
e. Adding a triangle on the left and a square on the right
Answer:
a. b. c.
Step-by-step explanation:
As per picture one square= 2 circles
To keep balance same amount to be added to both sides
a. Adding two circles on the left and a square on the right
yesb. Adding 2 triangles to each side
yesc. Adding two circles on the right and a square on the left
yesd. Adding a circle on the left and a square on the right
noe. Adding a triangle on the left and a square on the right
noA triangle on a coordinate plane is translated according to the rule T-8,4(x, y). Which is another way to write this rule?
A (x,y) - (x + 4, y - 8)
B (x,y) - (x - 4, y - 8)
C (x, y) - (x - 8, y + 4)
D (x,y) - (x + 8, y - 4)
Answer:
CStep-by-step explanation:
(x, y) → (x – 8, y + 4)A triangle on a coordinate plane translated according to the rule [tex]T_{-8,4}(x,y)[/tex]can also be written as [tex](x,y)[/tex] → [tex](x-8,y+4)[/tex] according to the translation rule.
What is translation rule ?According to translation rule [tex]T_{a,b}(x,y)[/tex] tells that translation of a point (x,y)
by (a,b) is given by [tex](x,y)[/tex]→[tex](x+a,y+b)[/tex].
How to use translation rule to find the answer?Given that [tex]T_{-8,4}(x,y)[/tex], a=-8 and b=4
Putting in the values given in the question to the translation rule we get
[tex](x,y)[/tex]→[tex](x+(-8),y+(4))[/tex]
[tex](x,y)[/tex]→[tex](x-8,y+4)[/tex]
Hence we get triangle on a coordinate plane translated according to the rule [tex]T_{-8,4}(x,y)[/tex]can also be written as [tex](x,y)[/tex] → [tex](x-8,y+4)[/tex]. Answer C is correct.
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Can someone please tell me what the slope of the line in this graph is!!!!!!
Answer:
-1/3 I think
Step-by-step explanation:
I find the slope by finding 2 points where the line hits. I then just count up and across. Could be wrong :/
Hope this helps though :)
Answer:
slope = y2-y1
x2- x1
= 4-2 = 2
6-0. 6
= 1/3
Solve the following equation. Then place the correct number in the box provided. 7x/15-1=22
x=?
Answer:
44
Step-by-step explanation:
First you have to make sure that you move everything from one side to the other and set the equation equal to zero. Then you have to simplify the equation as much as you can so you get:
x/14
7 * (x/14)
eventually you get
(x-22)/2 =0
from there you can solve for 44
Help pleasseee •-•
1. The dot plot below shows the vertical jump of some NBA players. A vertical jump
is how high a player can jump from a standstill. Draw a box plot of the heights for the
vertical jumps of the NBA players above the dot plot.
Which is not an equation of the line going through (3,-6) and (1,2)?
O A. y-2 = -4(x - 1)
O B. y=-4x + 6
O C. y+ 6 = -4(x-3)
O D. y-1 = -4(x-2)
Answer:
B
Step-by-step explanation:
☺
Rewrite the function by completing the square
f(x) = 2x^2+3x-2
f(x)= ____ (x+___)^2+____
Answer:
Step-by-step explanation:
To complete the square, we need to add and subtract a constant term that will allow us to write the function in the form f(x) = a(x + h)^2 + k. Here's how we can rewrite f(x) = 2x^2 + 3x - 2 using completing the square:
f(x) = 2x^2 + 3x - 2
First, we factor out the coefficient of x^2:
f(x) = 2(x^2 + (3/2)x) - 2
Next, we take half of the coefficint of x and square it, then add and subtract it inside the parentheses:
f(x) = 2(x^2 + (3/2)x + (3/4)^2 - (3/4)^2) - 2
Simplifying the expression inside the parentheses:
f(x) = 2[(x + 3/4)^2 - 9/16] - 2
Expanding the brackets and simplifying:
f(x) = 2(x + 3/4)^2 - 17/8
Therefore, f(x) = 2x^2 + 3x - 2 can be written in the form f(x) = 2(x + 3/4)^2 - 17/8.
Hope that helps
please answer this questions
Answer:
Step-by-step explanation: since ab||ef, line cd is a transversal
x+35°=85° (alternate interior angles)
x=85-35
x= 50°
taking bd as a transversal
y= 35° (alternate interior angles)
taking bz as a transversal
y+z+40°= 180° (interior angles on the same side of the transversal)
z+35°+40°= 180°
z+75°= 180°
z= 180-75
z= 105°
PLEASE RATE 5 STARS AND VOTE AS BRAINLIEST:)
(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)
Answer:
x = 50 degree found by working out c and d
y = 35 degree
z = 105 degree
Step-by-step explanation:
c is solved 180-85 = 95 as all straight lines equal (180)
d is solved 85-35 = 50 as it is alternate of c (85)
x is found 85 - 35 = 50 degree as it is part of d and not supplementary
y is found 180-95 = 85 then 85-50 = 35 as angles are adjacent and add up to 180 degree.
z is found 180-75 = 105 as angles are adjacent and add upto 180 degree but z is also alternate to missing c angle
Only one QUESTION I NEED HELP SO BAD I WILL MOST DEFINITELY GIVE BRAINLIEST AND 30 POINTS PLEASE IT'S DUE TODAY
Answer:
We cannot have a single point of solution
Step-by-step explanation:
When the boundary lines are parallel, we can have no solution, or infinite solutions. We cannot have a single point of solution
Answer:
I believe there is no single solution
Find two consecutive whole numbers that square root 2 lies between.
Answer:
1 can be written as √1 and 2 can be written as √4 and because 1 < 2 < 4, our answer is 1 and 2.
A gym charges $45 per month and a $75 one-time starting fee. Which of these
will show how much it costs to join the gym for one year?
Answer:
y=45x+75
Step-by-step explanation:
The x represents the months and the one time fee is added
helpp me plz
thank you in advance
Answer:
1/4
Step-by-step explanation:
3 and 6 are both multiples of 3, so there is a 2/8 chance of spinning a multiple of 3, which can be simplified to 1/4.
What is the solution to the system of equations graphed below?
Answer:
B
Step-by-step explanation:
Given a system of equations graphically then the solution is at the point of intersection of the 2 lines.
The point of intersection = (- 4, 8 ) ← solution
Please help me with my Algebra. :)
Answer:
[tex]\mathrm{D}[/tex]
Step-by-step explanation:
[tex]6x+5y=-2[/tex]
[tex]6(-2)+5(2)=-2[/tex]
[tex]-12+10=-2[/tex]
[tex]-2=-2[/tex]
[tex]\mathrm{Hence,\:it\:is\:true.}[/tex]
Answer:
A
Step-by-step explanation:
Find the areas of the trapezoids.
Answer:
30 square units
Step-by-step explanation:
i did this problem before.
2 Points
Which of the following is a geometric sequence?
O A. 2,5, 7, 12, 19
B. 2, 4, 8, 16, 32
C. 3, 6, 9, 15, 24
O D. 6, 13, 20, 27, 34
Answer:
b and d
Step-by-step explanation:
what is the difference for -22 - (-26)
______________________________
Hey!!!
-22-(-26)
= -22+26
= 4
So the answer is 4.
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
____________________________
-22 - (-26) = -22+26=4
So the answer is 4
If this helped mark me as brainliest plss
Hope this helps! Good luck!!
A chemist is adding pure (100%) acid to a 12 liter solution that is 15% acid in order to increase it to 49% acid. How much pure acid must she add?
How many ounces of 35% ethanol must be added to a 23 ounce mixture that contains 26% ethanol in order to obtain a mixture of 30.86% ethanol?
How many liters of 30% acid must be added to 10 liters of 53.66% acid in order to obtain a mixture that is 43% acid?
Answer:
1) 8 liters of pure acid
2) 27 liters of 35% ethanol
3) 8.2 liters of 30% acid
Step-by-step explanation:
The inicial amount of acid is 15% of 12 L, and the inicial volume is 12L.
Adding 'x' L of 100% acid, we have the amount of acid equal to 12 * 0.15 + x * 1, and the volume of 12 + x. The concentration is the amount of acid over the volume, so we have that:
(12*0.15 + x) / (12 + x) = 49/100
(1.8 + x)*100 = (12 + x) * 49
180 + 100x = 588 + 49x
51x = 408
x = 8 liters of pure acid
Similar to the solution above, for the second question we have:
(23*0.26 + 0.35*x) / (23 + x) = 30.86/100
(5.98 + 0.35*x)*100 = (23 + x) * 30.86
598 + 35x = 709.78 + 30.86x
4.14x = 111.78
x = 27 liters of 35% ethanol
For the third question, we have:
(10*0.5366 + 0.3*x) / (10 + x) = 43/100
(5.366 + 0.3x)*100 = (10 + x)*43
536.6 + 30x = 430 + 43x
13x = 106.6
x = 8.2 liters of 30% acid
Use the given D to find the range of each function: e f(x)=x−4, D={−2, −1, 3}
PLS HELP!!! URGENT
Answer: R={-6,-5,-1}
Step-by-step explanation:
If D= -2
substitute x for -2
f(x)= -2-4=-6
then do that for the rest
Find the volume of a sphere, in cubic centimeters whose radius is 3
centimeters.
Answer:
113.1
Step-by-step explanation:
V=4
3πr3=4
3·π·33≈113.09734
What is the square root of m^6?
M^2
M^3
M^4
M^5
Answer:
m³
Step-by-step explanation:
√m⁶=m⁶/²=m³
Answer:
[tex] {m}^{3} [/tex]
Step-by-step explanation:
[tex] \sqrt{ {m}^{6} } \\ \sqrt{m \times m \times m \times m \times m \times m} \\ {m \times m \times m} \\ = {m}^{3} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Which equation represents the graphed function?
O y=-3x + 3
O y= 3x - 3
Oy= 3x - 1/3
O y=-1/3x+3
Answer:
y = -1/3x+3
Step-by-step explanation:
use slope formula y₂-y₁/x₂-x₁ plug in the values and get the answer. y2 is y coordinate of the second point and and y1 is the y coordinate of the first point same with x2 and x1
The equation that represents the graphed function would be; y = -1/3x+3
We know that the slope is the ratio of the vertical changes to the horizontal changes between two points of the line.
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
where (x₁, y₁) and (x₂, y₂) are the two points that trying to find the slope between.
Now plug in the values and get the answer.
y2 is y coordinate of the second point and and y1 is the y coordinate of the first point same with x2 and x1
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
m = ( 3-2) / ( 0-3)
m = -1/3
The equation will be y=-1/3x+3
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Can someone please help me I am almost done with this
Hey!!
{12,13,25} is not a Pythagorean triple
please see the attached picture for full solution
hope it helps
