Answer:
n³ - 7
Step-by-step explanation:
number = n
because 7 is less then the number cubed it's being subtracted by n³
Simplify the exponential express
(-1)3 =
Answer:
-1
Step-by-step explanation:
(-1) ^3
This is (-1) multiplied together 3 times
(-1) * (-1) * (-1)
-1
The transformation (x,y) -> (y,-x) is what degree rotation for a counter-clockwise turn?
Answer:
270°
Step-by-step explanation:
For example,
(x, y) is in 1st quadrant (x- coordinate is positive, y - coordinate is positive) , then
(y, - x) is in 4th (x- coordinate is positive, y - coordinate is negative).
x and y changed places, so clockwise is 90°,
and counter-clockwise 360-90= 270°.
Dylan can paint a wall in 4 hours, while Brett can paint the same wall in 3 hours. If Dylan paints the wall for 2 hours, how much time will it take for Brett to finish painting the wall
Answer:
n 1 hour Dylan can paint 1/4 of the wall, and Brett can paint 1/3 of the wall.
Therefore together they can paint 1/4+1/3 = 7/12 of wall
Therefore they can paint entire wall in 12/7 hours
Step-by-step explanation:
you ' re welcome grandma loves youu ! < 33 ; )
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What is the Decimal Represention of 9/11
Answer: the answer is A 0.81
Rewrite in mathematical language. Every negative integer J is less than or equal to its inverse.
Answer:
[tex]-J \leq J[/tex]
Step-by-step explanation:
Given
Negative integer J
Required
Represent as an inequality of its inverse
The question didn't state if it's additive inverse or multiplicative inverse;
Since the question has to do with negation, I'll assume it's an additive inverse
The inverse of -J is +J
To represent as an inequality (less than or equal), we have:
[tex]-J \leq +J[/tex]
Solving further, it gives
[tex]-J \leq J[/tex]
Amir wants to create a 4-digit password for his phone.
He wants to choose 4 different numbers between 1 and 5 inclusive.
Calculate the total number of 4-digit passwords that Amir can create.
Answer:
360
Step-by-step explanation:
Given that Amir wants to create a 4-digit password for his phone.
He wants to choose 4 different numbers between 1 and 5 inclusive.
The total number of 4-digit passwords that Amir can create will be achieved by using permutation
6P4 = 6!/ ( 6 - 4)!
6P4 = (6 × 5 × 4 × 3 × 2!)/2!
6P4 = 6×5×4×3 = 360
Therefore, the total number of 4-digit passwords that Amir can create is 360 different passwords.
n/3 - 2 = 4 2, 6, 14, or 18?
Answer:
Step-by-step explanation: all yu need to do is plug in each number option you have to replace in for until you get what it equals aka 4
for ex.
18/3-2=4 so that means 18 is your answer
Answer:
n = 18Step-by-step explanation:
In algebra, there is always an orderly progression of steps. Once we get an answer for the value of x, we must test it in the original question to make sure it is correct.
___________________________________________________Step 1: Add 2[tex]\frac{n}{3} - 2 + 2= 4 + 2 \\\\ \frac{n}{3} = 6[/tex]___________________________________________________Step 2: Multiply by 3n/3 × 3 = 6 × 3
n = 18
___________________________________________________Step 3: Check18/3 - 2 = 4
6 - 2 = 4
4 = 4 ✓
___________________________________________________I AM ALWAYS HAPPY TO HELP :)Use the following function rule to find f(16.36).
f(x) = 0.77x + 8.64
Write your answer as a decimal or whole number.
f(16.36) =
All of the following represent the same concept except _____. 47 take away 28 47 minus 28 47 less than 28 47 subtract 28
Answer:
C. 47 less than 28
Step-by-step explanation:
A. 47 take away 28
Equivalent to counting 47 and taking away 28
= 47 - 28
= 19
B. 47 minus 28
Simply
47 - 28
= 19
C. 47 less than 28
47 < 28
The less than sign is <
D. 47 subtract 28
= 47 - 28
= 19
Answer:47 less than 28
Step-by-step explanation:the rest are subtracting 28 from 47 , 47 less than 28 is subtracting 47 from 28.
Manny owns a home with a front and back lawn. The front lawn is ⅓ the size of the back lawn. If she mows ½ of her front lawn and ⅔ of her back lawn, what fraction of her entire lawn was left unmowed?
Answer:
[tex]\frac{3}{8}[/tex]
Step-by-step explanation:
The computation of the fraction of her overall lawn remaining unmowed is shown below:
Let us assume that the back lawn be x
So the front lawn would be
[tex]= \frac{1}{3}\times x\\\\ = \frac{x}{3}[/tex]
So, the total lawn is ................... (i)
[tex]= x + \frac{x}{3}\\\\ = \frac{4x}{3}[/tex]
The back lawn mowed is [tex]\frac{2x}{3}[/tex]
Front lawn moved is [tex]\frac{x}{6}[/tex]
So, the total mowed is ....................(ii)
[tex]= \frac{2x}{3} + \frac{x}{6}\\\\ = \frac{5x}{6}[/tex]
So, the total unmowed is
[tex]= \frac{4x}{3} - \frac{5x}{6} \\\\= \frac{x}{2}[/tex]
Now the fraction is
[tex]= \frac{x}{2} \times \frac{3}{4x} \\\\ = \frac{3}{8}[/tex]
The fraction of the entire lawn unmoved is 3 / 8
What is a fraction?The fraction is defined as the division of the whole part into an equal number of parts. The computation of the fraction of her overall lawn remaining unmowed is shown below:
Let us assume that the back lawn is x
So the front lawn would be
[tex]=\dfrac{1}{3}\times x[/tex]
[tex]=\dfrac{4x}{3}[/tex]
So, the total lawn is ................... (i)
[tex]=x+\dfrac{x}{3}[/tex]
The back lawn mowed is
The front lawn moved is
So, the total mowed is ....................(ii)
[tex]=\dfrac{2x}{3}+\dfrac{x}{6}[/tex]
[tex]=\dfrac{5x}{6}[/tex]
So, the total unmowed is
[tex]=\dfrac{4x}{3}-\dfrac{5x}{6}[/tex]
[tex]=\dfrac{x}{2}[/tex]
Now the fraction is
[tex]=\dfrac{x}{2}\times \dfrac{3}{4x}[/tex]
[tex]=\dfrac{3}{8}[/tex]
Therefore the fraction of the entire lawn unmoved is 3 / 8
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DeMario has two ltimes and four quarters. Pratima has five dimes and two quarters. They have $2.20 altogether. Write an expression or equation that matches this situation.
Answer:
8 x2.20 = Answer
Step-by-step explanation:
Answer:
7d+6q=2.20
Step-by-step explanation:
20 points to whoever gets the correct answer uwu
Answer:
Angle EFG = 104 degrees
Angle GFH = 76 degrees
Step-by-step explanation:
Angle EFG and Angle GFH are a linear pair, which means that they add up to 180 degrees.
Angle EFG = 4n + 20 and Angle GFH = 2n + 34, so 4n + 20 + 2n + 34 = 180.
We can then combine like terms, getting 6n + 54 = 180.
Then, we can subtract both sides by 54, getting 6n = 126.
Lastly, we can divide both sides by 6, getting n = 21.
EDIT - solve for EFG and GFH:
Angle EFG = 4n + 20 = 4(21) + 20 = 104 degrees
Angle GFH = 2n + 34 = 2(21) + 34 = 76 degrees
Answer:
∠EFG = 104°
∠GFH = 76°
Step-by-step explanation:
∠EFG + ∠GFH = 180
(4n + 20) + (2n + 34) = 180
6n + 54 = 180
6n = 180 -54
n = 126 / 6
n = 21
plug in values to ∠EFG
∠EFG = 4(21) + 20
∠EFG = 104°
plug in values to ∠GFH
∠GFH = 2(21) + 34
∠GFH = 76°
the average number of spectators at a football competition for the first five days was 3144.the attendance on the sixth day was 3990.find the average attendance for the 6 days
Answer:
3285
Step-by-step explanation:
5x3144=15720
3990
15720+3990=19710
19710/6=3285
Decide whether is true or false.
2/11 < 5/22
=======================================
Explanation:
For now, assume the inequality is true
We can cross multiply to get
2/11 < 5/22
2*22 < 11*5
44 < 55
Since the last inequality is true (44 is smaller than 55), this means the first inequality is also true.
------------
We could use a calculator to see that
2/11 = 0.1818 approximately
5/22 = 0.2273 approximately
Since 0.1818 is smaller than 0.2273, this means 2/11 is smaller than 5/22.
In other words, 0.1818 < 0.2273 leads to 2/11 < 5/22
------------
An alternative is to multiply 2/11 by 2/2 to get 4/22
So 2/11 < 5/22 would update to 4/22 < 5/22. Both have the same denominator so we just compare the numerators. Because 4 < 5 is true, this makes 4/22 < 5/22 true, and consequently 2/11 < 5/22 true as well.
The angle of elevation of the top of a tower from a point 100m away is 45 degrees. What is the height of the tower to the nearest metres?
===========================================
Explanation:
If you draw out the diagram, then you'll find that a 45-45-90 triangle forms. The nice thing about this type of triangle is that the two legs are always the same length. The horizontal leg is 100 meters, so the vertical leg must also be 100 meters.
Side note: this type of triangle is an isosceles right triangle.
---------
You could use the tangent rule to get the same thing
tan(angle) = opposite/adjacent
tan(45) = 100/x
1 = 100/x
1*x = 100
x = 100
In this case, the opposite leg is the vertical leg since it is furthest from the angle of elevation.
Answer:
[tex]\Huge \boxed{\mathrm{100 \ meters}}[/tex]
Step-by-step explanation:
The base of the right triangle created is 100 meters.
The angle between the base and the hypotenuse of the right triangle is 45 degrees.
We can use trigonometric functions to solve for the height of the tower.
[tex]\displaystyle \mathrm{tan(\theta) = \frac{opposite }{adjacent} }[/tex]
[tex]\displaystyle \mathrm{tan(45) }= \frac{x }{100}[/tex]
Multiplying both sides by 100.
[tex]\displaystyle \mathrm{100 \cdot tan(45) }= x[/tex]
[tex]\displaystyle \mathrm{100 }= x[/tex]
The height of the tower is 100 meters.
3/4 - 1/2n =5/8. solve for n
The solution to the equation (3/4) - (1/2)n = 5/8 is n = 1/4 as per the rule of fraction's operations.
To solve the equation (3/4) - (1/2)n = 5/8 for n, we can follow these steps:
Start by subtracting 3/4 from both sides of the equation:
(3/4) - (1/2)n - 3/4 = 5/8 - 3/4
Simplifying, we have:
(1/2)n = 5/8 - 6/8
Combine the fractions on the right-hand side:
(1/2)n = -1/8
To eliminate the fraction coefficient, multiply both sides by -2:
(-2)(-1/2)n = (-2)(-1/8)
This gives us:
n = 2/8
Simplify the right-hand side:
n = 1/4
Therefore, the solution to the equation (3/4) - (1/2)n = 5/8 is n = 1/4.
It's important to note that when solving equations involving fractions, it's crucial to perform the same operation on both sides of the equation to maintain the equality. By isolating the variable n on one side, we were able to find its value.
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Which diagram represents the postulate that states exactly one line exists between any two points?
Answer:
C with points A and B on the line
The diagram that supports the postulate is line option (c).
What are lines and points?Lines and points are both undefined terms in geometry.
The given postulate states that;
Exactly one line exists between any two points.
This means that the line must pass through the two points.
From the given options, Only option (c) is true because the line passes through points A and B.
Hence, the diagram that supports the postulate is line option (c).
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what number is between 0.40 and 0.47 as a fraction
select the correct descriptor of the following problems: from a pack of 52 cards, two cards drawn together at random. What is the probability od both the cards being kings?
Answer:
[tex]\frac{1}{221}[/tex]
Step-by-step explanation:
We have to note that there are 4 kings in a deck of 52 cards.
This makes the probability of choosing a king the first time [tex]\frac{4}{52} = \frac{1}{13}[/tex].
We now know that we can choose another king from the deck, but it's important to note that it's not a [tex]\frac{1}{13}[/tex] chance. We now only have 51 cards in the deck, and 3 kings left. This means the probability of choosing a king now is [tex]\frac{3}{51} = \frac{1}{17}[/tex].
To find the probability of doing both these, we need to multiply the fractions.
[tex]\frac{1}{13}\cdot\frac{1}{17}=\frac{1}{221}[/tex]
Hope this helped!
What is the value of the following expression? 6p + 5 when p = 9
Answer:
I think the answer is 59
Step-by-step explanation:
6p+5
6(9)+5
54+5=59
which one is it ?
substitution property of equality
reflexive property of equality
transitive property of equality
symmetric property of equality
the slope and y intercept of 3y+6x=18
Answer:
slope: -2
y-intercept: 6
Step-by-step explanation:
First, put the equation into slope intercept form.
Slope-intercept form: y = mx + b
Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, subtract 6x from both sides:
3y + 6x (-6x) = 18 (-6x)
3y = -6x + 18
Next, divide 3 from both sides. Remember to divide from all terms:
(3y)/3 = (-6x + 18)/3
y = (-6x)/3 + (18)/3
y = -2x + 6
Slope-intercept form: y = -2x + 6
Again, note the slope-intercept form.
> Slope-intercept form: y = mx + b
The variables:
y = (x ,y)
m = slope
x = (x , y)
b = y-intercept
Your answers:
slope: -2
y-intercept: 6
Add 113+(−56) using the number line.
Answer:
Step-by-step explanation:
Start at 1 1/3
Add the negative number.
1 1/3 + (-5/6)
Adding a negative number means to go left on a number line.
-5/6 is equal to -2/3 plus -1/6.
Move 2/3 to the left.
1 1/3 (Start)
1 (1/3)
2/3 (2/3)
Now, move 1/6th to the left.
2/3 is equal to 4/6
4/6 - 1/6 = 3/6
So, put the point at 3/6 or 1/2.
The value of addition of 1 1/3+(−5/6) is 1/2 and plotted on a number line.
What is addition?The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.
Start at 1 1/3
Add the negative number;
1 1/3 + (-5/6)
Here Adding a negative number means to go left on a number line.
-5/6 is equal to -2/3 plus -1/6.
Now Move 2/3 to the left;
1 1/3 (Start)
1 (1/3)
2/3 (2/3)
Now, move 1/6th to the left;
2/3 is equal to 4/6
4/6 - 1/6 = 3/6
Thus 1 1/3+(−5/6) = 3/6 = 1/2
The value of addition of 1 1/3+(−5/6) is 1/2 and plotted on a number line.
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Kenya is reserving a room in a hotel in France where they use euros (€). The room charge is €75. Suppose the conversion rate is €1 = $1.298. What is the cost of the room in dollars? (1 point)
Which list is in order from least to greatest?
|−9|, |4.2|, |−3.5|
|−3.5|, |−9|, |4.2|
|−3.5| , |4.2|, |−9|
|−9|, |−3.5|, |4.2|
Answer: C
Step-by-step explanation: Absolute value means all the values in the | | are positive so make them positive and you will see it’s 3.5, 4.2, and 9 in order from least to greatest.
what is (15-2)×3×2
Answer:
15−2(3−2x)=46
Step-by-step explanation:
15−2(3−2x)=46
The measures of the sides of a triangle are 20 24 and 30. Find the measures of the segments former where the bisector of the smallest angle meets the opposite side.
Answer:
One segment is 8.89 long and the other one is: 11.11 long
Step-by-step explanation:
Recall that the bisector of a triangle divides the opposite side it intersects into two segments that are proportional to the other two sides of the triangle.
In our case the bisector is generated on the angle opposite to the size 20 side (it is the smallest angle in the triangle since it is opposite to the smallest side). This bisector divides the side of length 20 into a segment of length x and a segment of length 20-x.
The proportionality indicated by the bisector theorem gives;
[tex]\frac{20-x}{x} =\frac{30}{24}[/tex]
and we can solve for "x":
[tex]\frac{20-x}{x} =\frac{30}{24}\\24\,(20-x)=30\,x\\480-24\,x=30\,x\\480=54\,x\\x=480/54\\x\approx8.89[/tex]
Then the other segment is: 20 - 8.89 = 11.11
IF Tunde, who has n eggs, has three
more than Sola, how many eggs has
Sola?
Answer:
Sola has n-3 eggs
Step-by-step explanation:
Tunde = n
Tunde has 3 more = Sola has 3 less than tunde
= Tunde - 3
= n - 3
If x is a rational number and y is a rational number than x + y is a rational number.
Answer:
True.
Step-by-step explanation:
The sum of two rational numbers is rational.
By definition, a rational number can be expressed as a fraction with integer values in the numerator and denominator (denominator not zero). So, adding two rational numbers produces another rational number.
Which of these numbers is irrational?
Answer:
[tex] \sqrt{5} [/tex]
Step-by-step explanation:
decimal repeats without a pattern