The difference between the expressions (2n -9) - (2.4n +4) is -0.4n-13
What is an algebraic expression?An algebraic expression can be defined as an arithmetic expression made up of variables, coefficients, terms, factors and constants.
They are also known to be composed of mathematical operations which may include;
MultiplicationSubtractionDivisionBracketAdditionParentheses, including other operations.Given the expressions;
(2n -9)(2.4n +4)Let's determine their difference
(2n -9) - (2.4n +4)
expand the bracket
2n - 9 - 2.4n - 4
collect like term
2n - 2.4n -4 -9
Subtract like terms
-0.4n - 13
Hence, the difference is -0.4n - 13
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Can someone pls help me? This is urgent! If u do thank you so much!
The slope of g(x) is [tex]\frac{-2}{5}[/tex] times the slope of f(x)
The x-intercept of f(x) is 8 more than the y-intercept of g(x)
As x approaches -∞, f(x) approaches ∞ and g(x) approaches -∞
Given,
f(x) = 10-5x
g(x) = -6+2x
The slope of f(x) = -5
The slope of g(x) = 2
Hence the slope of g(x) is [tex]\frac{-2}{5}[/tex] times slope of f(x)
For x-intercept assign zero value to f(x). Thus,
10-5x = 0
=> x = 2
So intercept of f(x) = 2
y-intercept of g(x) = -6
Hence x-intercept of f(x) is 8 more than y-intercept of g(x)
As x approaches -∞, f(x) = 10-(5 times (-∞)) = ∞
As x approaches -∞, g(x) = -6 + 2x = -6 + 2(-∞) = -∞
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The coordinates of the point H are (−2,2) and the coordinates of point I are (6,2). What is the distance, in units, between the point H and point I?
the distance between the point H (- 2, 2) and point I (6, 2) is 8 units.
We are given the coordinates of the point as:
H = (- 2, 2)
I = (6, 2)
We need to find the distance between the two points.
We get that:
x₁ = - 2
y₁ = 2
x₂ = 6
y₂ = 2
Distance formula is given as:
Distance = √(y₂ - y₁)² + (x₂ - x₁)²
Substituting the values in the formula, we get that:
D = √(2 - 2)² + (6 + 2)²
D = √ 0² + 8²
D = √8²
D = 8 units.
Therefore, the distance between the point H (- 2, 2) and point I (6, 2) is 8 units.
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The midpoint M of UV has coordinates (5, 6). Point U has coordinates (10, 5). Find the
coordinates of point V.
Write the coordinates as decimals or integers.
The coordinates of point V is ( 15/2, and 11/2).
What is the Midpoint of a Line Segment?A line segment's midpoint is a point that divides the line segment across two equal sections. The midpoint of a line segment with coordinates at both ends X₁, Y₁ and X₂, Y₂ is calculated using the:
According to the given information:
Point M has Coordinates (5, 6).
point U has coordinates (10, 5).
We know that to find the Midpoint of a Line Segment:
( X₁+X₂)/2 , (Y₁ + Y₂ )/2
Now Putting the value in the formula;
MU = ( X₁+X₂)/2 , (Y₁ + Y₂ )/2
= (5 + 10)/2 , (6 + 5)/2
= 15/ , 11/2
Therefore, The coordinates of point V ( 15/2, 11/2).
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please help me to solve this hard question.I need your help right now
Answer:
θ = 110.61°
Step-by-step explanation:
It's not that hard :)
Let a = θ/3
Then sin a = 3/5 = 0.6
a = sin⁻¹(a) = 36.87°
=> θ/3 = 36.87°
θ = 3 x 36.87
θ = 110.61°
Use an integer or a fraction to describe a slope of this line please!
Answer:
Step-by-step explanation:
The height of a building is proportional to the number of floors. The figure shows the height of a building with 7 floors. Complete parts a and b. H equals 98 ft a. Write the ratio of height of the building to the number of floors. Then, find the unit rate, and explain what it means in this situation.
If H equals 98 ft and the number of floors of the building is 7 then the unit rate will be 14 feet.
Define ratio:
Ratios are defined as the comparison between two or more quantities or things.
In this question, we will compare the height of the building with the number of floors it has.
We are given;
the height of building 'h' = 98 ft
Number of floors = 7 floors
Ao we can compare their ratios as follow
ratio = 98 feet / 7 floors
Now, in order to get the unit ratio. we will divide the numerator by the denominator.
Unit rate = 14 feet/floor
Thus, each floor of the building has a height of 14 feet.
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14. There are 3 teaspoons in a tablespoon. Show how to convert 15 teaspoons to tablespoons using a
ratio table and using a conversion factor.
There are 3 teaspoons in a tablespoon, 15 teaspoons to tablespoons using a ratio table and using a conversion factor will be total as 5 tablespoons.
What is a ratio table?The consistent relationship between two values is shown in a ratio table. A rate is a unique ratio that is used to compare two quantities with different units of measurement. There are various ways to examine a ratio table.
What is displayed in a ratio table?Equivalent ratios between two quantities are displayed in ratio tables. In order to find an equal ratio, you can make a ratio table by multiplying (or dividing) the quantities in the ratio by the same number.
You can use a ratio table to determine equal ratios and solve difficulties.
What is an example of a conversion factor?A conversion factor is a kind of number that is used to multiply or divide one set of units into another.
If any kind of a conversion is required, it must be done using the proper and correct conversion factor to get an identical value. For instance, 12 inches equals a total of one foot when converting between inches and feet.
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What is the scientific notation of 500,000,000,000
Answer:
The scientific notation for 500000000000 is 5 × 1011
Step-by-step explanation:
The 11 is going to be a superscripts(meaning its going to be placed at the top right corner of the 10)
Eli used the place value strategy to add the numbers 4.69 and 7.7.
What is the very first step he should do to add these numbers correctly?
The addition according the place value is 12.39
What is place value?The value of each digit in a number is known as place value. Every digit in a number has a distinct value depending on where it is located. The value of a digit depends on its location in the number, which might result in a number having two comparable digits with distinct values.
Place value refers to how much a digit is worth in relation to where it is in a number, such as the ones, tens, hundreds, and so on. For instance, 5 in 3458 has a place value of 5 tens, or 50. However, 5 thousands, or 5,000, is used to represent the place value of 5 in 5781. Understanding that a digit can have the same value regardless of where it appears in the number is crucial.
Given:
Eli used the place value strategy to add the numbers 4.69 and 7.7.
So, to add using place value strategy we use place value to break the addends into tens and ones.
Now, we add the tens and ones individually to find the whole sum.
So, breaking 4.69
at ones = 4
at tenth = 6
at hundredth = 9
In 7.7
at ones= 7
at tenth = 7
at hundredth = 0
Now, adding according to the place value
=(0 + 9 ) x 1/100 + (7 + 6) x 1/10 + (4 +7) x1
=9/100 + 13/10 + 11
=0.09 + 1.3 + 11
=12.39
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how many liters of a 25\%%, percent saline solution must be added to 333 liters of a 10\, percent saline solution to obtain a 15\, percent saline solution?
Draw triangle PQR with vertices P(1,2),Q(3, 3),R(2,6).find PQ.
Check the picture below.
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ P(\stackrel{x_1}{1}~,~\stackrel{y_1}{2})\qquad Q(\stackrel{x_2}{3}~,~\stackrel{y_2}{3})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ PQ=\sqrt{(~~3 - 1~~)^2 + (~~3 - 2~~)^2} \implies PQ=\sqrt{( 2 )^2 + ( 1 )^2} \\\\\\ \implies PQ=\sqrt{ 4 + 1 } \implies PQ=\sqrt{ 5 }\implies PQ\approx 2.24[/tex]
Which of the following values is less than −|62|?
71
53
−53
−71
Answer:
-71
Step-by-step explanation:
−|62| is equal to -62, and -71 is less than -62.
Determine the value of z
A. 20 degrees
B. 36 degrees
C. 88 degrees
D. 124 degrees
WE STILL HAVE TO FIND THE TWO UNKNOWNS FIRST. TO BE ABLE TO GET Z
x°+144°=180°(angles on a straight line)
x°=180°-144°
x=36°
y°+56°=180°(angles on a straight line)
y°=180°-56°
y=124°
z°+y°+x°=180°(sum of angles in a triangle)
z°+124°+36°=180°
z°=180°-124°-36°
z=20°
There is a line that includes the point (-6,-2) and has a slope of 0 what is its equation in slope-intercept form?
IF THE SLOPE IS 0 IT MEANS THAT THERE IS NO CHANGE IN THE Y COORDINATE OF THE LINE.FOR ANY VALUE OF X GIVEN
THEREFORE THE EQUATION WILL BE
[tex]y = (0)( - 6) - 2 \\ y = - 2[/tex]
THE EQUATION IS
[tex]y = - 2[/tex]
HOPE THIS HELPS
Answer:
The slope-intercept form would be: y = 0x - 2
your mom is planning to put up fence in front of your house. If the perimeter of the lot is is X + 8x 16. What is the measure of the front side?
Answer:
[tex]x + 8 \times 16 \\ 8 - 16 = 8[/tex]
for the month of april in a certain city, 48% of the days are cloudy. also in the month of april in the same city, 26% of the days are cloudy and snowy. what is the probability that a randomly selected day in april will be snowy if it is cloudy?
53/300 is the probability that a randomly selected day in April will be snowy if it is cloudy.
What do we mean by probability?Probability is a branch of mathematics that deals with numerical representations of the probability that an event will happen or that a statement is true.The probability of an event is a number between 0 and 1, with 0 roughly denoting impossibility and 1 denoting certainty.A typical definition of probability is the ratio of favorable outcomes to all other outcomes in the sample space.The formula for the probability of an event is P(E) = (Number of favorable outcomes) (Sample space).So,
The probability that the day is cloudy: 48/100The probability that the day is snowy and cloudy: 26/48The probability that day will be snowy and cloudy at random selection:
48/100 × 26/481248/480053/300Therefore, 53/300 is the probability that a randomly selected day in April will be snowy if it is cloudy.
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write an expression using exponents that represents the volume of a cube with egde length 4/7 yard. what is the volume of the cube?
Answer:
[tex]\sf \dfrac{64}{343} \ cubic \ yard[/tex]
Step-by-step explanation:
Volume of cube:[tex]\sf \boxed{\bf Volume \ of \ cube =a^3}[/tex]
Here, a is the edge of the cube.
[tex]\sf a =\dfrac{4}{7} \ yard[/tex]
[tex]\sf Volume \ of \ cube = \dfrac{4}{7}*\dfrac{4}{7}*\dfrac{4}{7}[/tex]
[tex]\sf =\dfrac{64}{343} \ cubic \ yard[/tex]
rearrange the distance Formula d=rd to solve for time
Answer:
[tex]t=d/r[/tex]
Step-by-step explanation:
Assuming you meant [tex]d=rt[/tex], dividing both sides by [tex]r[/tex] yields [tex]t=d/r[/tex].
In a particular college class, 60% of the students are female. Of the female students, 75% have long hair. One student is picked randomly in the class. What is the probability that it is a female with long.
The probability of selecting a female student with long hair is 45%
Let there be a total of 100 students in the class
Since 60% of the students are female, therefore out of 100 students 60 will be female students
Now, out of these 60 students, 75% have long hair, As a result, = 75% of 60 = 45 female students will have long hair
Probability of selecting female student with long hair = Number of female students with long hair/ Total number of students in the class
= 45/100
So, there is a 0.45 or 45% chance that a female student with long hair is selected
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HELP ASAP NEEDS TO BE DONE BY TONIGHT
The linear function that contains the point (-4, -3) and is perpendicular to the line 4x + 5y = 15 is given by:
y = 5/4x + 2.
What is a linear function?A linear function, in slope-intercept format, is modeled according to the following rule:
y = mx + b
In which:
The coefficient m is the slope of the function, which is the constant rate of change.The coefficient b is the y-intercept of the function, which is the initial value of the function.When two lines are perpendicular, the multiplication of their slopes is of -1, hence, considering the line is perpendicular to 4x + 5y = 15, we have that:
5y = 15 - 4x
y = 3 - 4/5x
Then:
-4/5m = -1
m = 5/4
Hence the rule is:
y = 5/4x + b
When x = -4, y = -3, hence the intercept b is found replacing these points into the equation as follows:
-3 = 5/4(-4) + b
-3 = -5 + b
b = 2.
Hence the equation is:
y = 5/4x + 2.
Both perpendicular equations are graphed at the end of the answer.
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Answer the following prompt using the continuous growth formula A=Pe^rt
You have received a report of a mysterious illness that seems to turn the infected humans into mindless zombies has broken out in a major American city. Since the hungry zombies prey upon innocent people, the outbreak grows continuously at a rate of 12% per day. The outbreak begins with 8 people.
1. Write the formula that matches this scenario.
2. How many zombies will there be after 5 days?
3. How many days will it take for the zombie population to reach 3,700,00 (about the population of Los Angeles, CA)?
The solution to the questions are
The formula of the scenario is A = 8 * e^0.12tThe number of zombies after 5 days is 15The number of days is 39How to determine the formula?The general formula is given as
A = Pe^rt
In this case, we have
P = Initial number of people
r = rate
t = time
From the question, we have
P = 8
r = 12% = 0.12
So, we have
A = 8 * e^0.12t
The number of zombies after 5 daysThis means that t = 5
So, we have
A = 8 * e^(0.12 * 5)
Evaluate
A = 15
The number of days to reach 3,700,00This means that A = 3,700,00
So, we have
8 * e^0.12t = 3,700,00
Divide by 8
e^0.12t = 46250
Take the logarithm of both sides
0.12t = log(46250)
This gives
0.12t = 4.7
Divide
t = 39
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Find the average rate of change:
The table has an average rate of change of 3
How to determine the average rate of change?The table represents the given parameter
From the table, we have the following interval is given as
[3, 7]
This can be rewritten as
x = 3 to x = 7
From the attached table, we have
f(3) = 7
f(7) = 19
The average rate of change of the function is then calculated as
Rate = [f(b) - f(a)]/[b - a]
This gives
Rate = [19 - 7]/[7 - 3]
Evaluate
Rate = 3
Hence, the average rate of change is 3
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Solve.
7. Maria walks at a speed of 2 1/2 miles per hour. How long will it take her to walk a
10-mile trail?
Answer:
4 hours :)
Step-by-step explanation:
Lets multiply to solve :)
1 hr: 2 1/2
2 hrs: 5
3 hrs: 7 1/2
4 hrs: 10 hrs
it will take 4 hours to walk 10 miles :)
Have an amazing day!!
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Natalie has a piece of red ribbon that is 79.39 inches long and a piece of brown ribbon that is 2.05 inches long. How much longer is the red ribbon?
Red ribbon is 77.34 much longer than brown ribbon.
What is subtraction?To subtract in mathematics is to take something away from a group or a number of objects. The group's total number of items decreases or becomes lower when we subtract from it. The components of a subtraction issue are the minuend, subtrahend, and difference.
The difference is the name given to the solution to a subtraction issue.
Given Data
Natalie has a piece of red ribbon that is 79.39 inches long
a piece of brown ribbon that is 2.05 inches long
Difference of red ribbon from brown ribbon:
= 79.39 - 2.05
= 77.34
Red ribbon is 77.34 much longer than brown ribbon.
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At a garage sale, Liyah priced
her scooter for $15.50. She
ended up selling it for $10.75.
Find the percent of decrease
in the price of the scooter.
Round to the nearest tenth if
necessary
Answer:30.6452% decrease
Step-by-step explanation:
-Subtract starting value(original price) minus final value
-Divide that amount by the absolute value of the starting value
-Multiply by 100 to get percent decrease
-If the percentage is negative, it means there was an increase and not an decrease.
lest to greatest3.008 3.825 3.09 3.18
Answer: 3.825, 3.180, 3.090, 3.008
Step-by-step explanation:
Answer: 3.008, 3.09, 3.18, 3.825
Step-by-step explanation: Least to greatest just means smallest to largest.
Please helppppp
Which inequality is NOT part of the system of inequalities that defines a polygonal convex set that includes all points in the interior of a square whose vertices are: A(4, 4), B(4, -4), C(-4, -4) and D(-4, 4)?
The inequality that is not part of the system of inequalities that defines a polygonal convex set that includes all points in the interior of a square whose vertices are: A(4, 4), B(4, -4), C(-4, -4) and D(-4, 4) is y ≤ -4. This is option C
How to find the inequalities that does not define the points in the interior of a square.given data
A(4, 4)
B(4, -4)
C(-4, -4)
D(-4, 4)
Looking at the given points the coordinates we can see that:
x coordinates has points:
4 4-4-4This is basically 4 and -4 which is represented as -4 ≤ x ≤ 4
y coordinates has points:
4 -4-44This is basically 4 and -4 which is represented as -4 ≤ y ≤ 4
The inequality that is different from the one listed above is in option C making it the correct option.
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Find the equation of the line that passes through the points (-1,7) and (-3,8) in the form of: a) y=mx+b. b) ax+by+c=0?
Answer:
-0.25 or -1/4
Step-by-step explanation:
y2-y1/x2-x1
8-7/-3-1
1/-4
-0.25
(d) solve this differential equation explicitly, either by using partial fractions or with a computer algebra system. use the initial populations 350 and 450.
Please answer this for me¡ <3
Answer:
3⁶
------
4¹⁵
Step-by-step explanation:
( 4⁻³ )³
( ------------- )
( 3⁻² × 4² )
Switch numbers with negative exponents
( 3² )³
( ------------- )
( 4³ × 4² )
( 9 )³
( ------------- )
( 64 × 16 )
( 9 )³
( ------------- )
( 1024 )
Multiply 9 and 1024 by the 3rd power
729
-------------
1,073,741,824
Simplified would be:
3⁶
------
4¹⁵
I hope this helps!