Find length of MN such that LN = 5.7 and LM = 1.3 MN= x + 2.1
Final answer:
To find the length of MN, we can set up an equation using the fact that LN + LM = MN and substitute the given values. Solving for x, the length of MN is found to be 4.9 units.
Explanation:
To find the length of MN, we can use the fact that LN = 5.7 and LM = 1.3. We are also given that MN = x + 2.1. Since LN and LM are known, we can set up an equation using the fact that LN + LM = MN.
LN + LM = MN
5.7 + 1.3 = MN
Then, we can substitute the given value of MN = x + 2.1 into the equation and solve for x.
5.7 + 1.3 = x + 2.1
7 = x + 2.1
x = 7 - 2.1
x = 4.9
Therefore, the length of MN is 4.9 units.
You ask a neighbor to water a sickly plant while you are on vacation. without water the plant will die with probability 0.8. with water it will die with probability 0.5. you are 80 % certain the neighbor will remember to water the plant. you come back from the vacation and the plant is dead. what is the probability that the plant died because neighbor forgot to water it?
Suppose you buy two sweaters. each sweater costs the same amount. the amount of money you spend varies directly with the number of sweaters you buy. if you spent $37.50 for two sweaters, what is the constant of variation?
Answer with Step-by-step explanation:
We spent $37.50 for two sweaters.
Each sweater costs the same amount.
Cost of each sweater=$37.50/2
=$18.75
The amount of money you spend varies directly with the number of sweaters you buy.
We have to find the constant of variation.
Here, cost of each sweater is the constant of variation.
Hence, constant of variation is:
$18.75
During the month of February, Fabulous Feet Shoe Mart sold 30 pairs of red loafers. After an ad campaign to boost sales, they sold 39 pairs in March. Find the percent of increase in sales.
35%
30%
23%
18%
What is the converse of the linear pairs theorem
What is the factored form of 6n4 – 24n3 + 18n?
Answer:
Step-by-step explanation:
Notice to facts:
The numbers 6, -4 and 18 have a common factor: 6.In all the terms (n⁴, n³, n) are a factor n.The expression has a common factor 6n. Then,
6n⁴-24n³+18n = 6n(n³-4n²+3).
In order to factor the term n³-4n²+3 we use Ruffini-Horner rule, which gives us that
n³-4n²+3 = (n-1)(n²-3n-3).
Then,
6n⁴-24n³+18n = 6n(n³-4n²+3) = 6n(n-1)(n²-3n-3).
If you don't know the formula for the general solution of second degree equation, you are done. Otherwise, it is only to use it in the quadratic factor.
Compare and contrast equation notation and function notation
What two things hindered the growth of Spanish colonies??
Final answer:
The growth of Spanish colonies was hindered by the vast distance between the colonies and Spain, restrictive economic policies, environmental depletion, exploitation of resources, and conflict. The decline in indigenous populations and internal governmental strife also played significant roles.
Explanation:
Factors Hindering the Growth of Spanish Colonies
The growth of the Spanish colonies was hindered by several factors after the initial period of discovery and conquest. First, the distance and the expanse of the Atlantic Ocean created significant challenges for effective communication and administration between the colonies and Spain. Second, the rigid economic policies imposed by the Spanish Crown, which restricted colonial trade to raw materials to Spain and finished goods from Spain, limited economic diversification and local development.
Additionally, environmental depletion and exploitation of resources, alongside harsh treatment and violence against Indigenous populations, led to a decrease in the native labor force. As a substitute, the Spanish were compelled to import African slaves, which transitioned the labor system but did not solve the inherent problems of the colonial economy.
The desire for precious metals, such as silver and gold, and the competition for conversion to Catholicism often came at a substantial human cost, leading to significant loss of indigenous life due to disease and conflicts. Revolts and uprisings, such as the Pueblo Revolt, as well as internal government conflicts and higher tax burdens on the Criollos were also among the contributing factors that hindered the growth and stability of Spanish colonies.
The sum of three consecutive even integers is fifty four. what is the second integer?
1/3(9-6m)+1/4(12m-8)
Answer:
[tex]m+1[/tex]
Step-by-step explanation:
The question is
Simplify the expression
we have
[tex]\frac{1}{3}(9-6m)+\frac{1}{4}(12m-8)[/tex]
using the distributive property
[tex]\frac{1}{3}(9)-\frac{1}{3}(6m)+\frac{1}{4}(12m)-\frac{1}{4}(8)[/tex]
[tex]3-2m+3m-2[/tex]
Combine like terms
[tex]m+1[/tex]
What's the answer ????
If someone could help me!
The grades received on a test by twenty students were 100, 55, 75, 80, 65, 65, 95, 90, 80, 45, 40, 50, 85, 85, 85, 80, 80, 70, 65, and 60. What is the average of these grades?
A.) 70.5
B.) 72.5
C.) 77
D.) 80.3
E.) 100
Which shows one way to determine the factors of x3 – 9x2 + 5x – 45 by grouping?
What is the equation of the exponential graph shown?
Please help :'(
The equation of the exponential graph is y = 100(0.5)^x
How to determine the exponential equation?On the graph, we have the following points
(x,y) = (0,100) and (1,50)
An exponential equation is represented as:
y = ab^x
Where a = y, when x = 0.
This means that
a = 100
So, we have:
y = 100b^x
At the point (1,50), we have:
50 = 100b^1
Evaluate
50 = 100b
Divide both sides by 100
b = 0.5
Substitute b = 0.5 in y = 100b^x
y = 100(0.5)^x
Hence, the equation of the exponential graph is y = 100(0.5)^x
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Does 3.2 - 4d=2.3d+3 no solution or identity
The solution of expression is,
⇒ d = 5/16
We have to given that,
An expression is,
⇒ 3.2 - 4d = 2.3d + 3
Now, We can simplify the expression for solution as,
⇒ 3.2 - 4d = 2.3d + 3
Add 4d both side,
⇒ 3.2 - 4d + 4d = 2.3d + 3 + 4d
⇒ 3.2 = 6.3d + 3
Subtract 3 both side,
⇒ 3.2 - 3 = 6.3d
⇒ 0.2 = 6.3d
⇒ 6.3d = 0.2
Divide 6.3 both side,
⇒ d = 0.2/6.4
⇒ d = 20/64
⇒ d = 5/16
Thus, The solution of the expression is, d = 5/16
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Find the area of the shaded region. Show all work in order to receive credit.
area of square = 14^2 = 196 square cm
area of circle = 3.14 *7^2 = 153.86 square cm
196 - 153.86 = 42.14 square cm is shaded
What is the measure of an exterior angle of a regular 7-sided polygon?
Enter your answer as a decimal in the box.
Round to the nearest tenth of a degree.
Answer: [tex]51.4^{\circ}[/tex]
Step-by-step explanation:
We know that the sum of all the exterior angles of a regular polygon with n sides is [tex]360^{\circ}[/tex].
The measure of an exterior angle of a regular n-sided polygon is given by :-
[tex]\dfrac{360^{\circ}}{n}[/tex]
Now, the measure of an exterior angle of a regular 7-sided polygon is given by :-
[tex]\dfrac{360^{\circ}}{7}=51.4285714286^{\circ}\approx51.4^{\circ}[/tex]
Hence, the measure of an exterior angle of a regular 7-sided polygon =[tex]51.4^{\circ}[/tex]
A taxi charges $2.50 for the first mile and $0.40 for each mile after that. The expression below shows how to find the total cost, in dollars, of a 20-mile taxi ride. 2.50 + 0.40 (20 - 1) What is the cost of the ride?
Answer:
Step-by-step explanation:
Alright , lets get started.
The first mile charge = [tex]$2.5[/tex]
Total miles taxi covered = [tex]20[/tex]
Subtracting first mile frm the total ride = [tex](20-1)[/tex]
Means the fare will apply on this mile.
So, cost of total ride = [tex]2.5 + 0.4 (20-1)[/tex]
cost of total ride = [tex]2.5+0.4*19[/tex]
cost of total ride = [tex]2.5+7.6[/tex]
cost of total ride = [tex]10.1[/tex]
The answer is $ 10.1 . : Answer
Hope it will help :)
Answer:
10.10 (B)
Step-by-step explanation:
edgeeeEeEeEeEe
Here is the other question, the last one for this weeks homework, help will be very much appreciated!
Answer:
B
Step-by-step explanation:
3x+5x= 8x
5x^3 - 2x^3= 3x^3
-2x^2= -2x^2
13+11=24
What is a factored form of the following expression?
5x squared - 20x
A. 5(x squared - 4)
B. 5(x - 2) squared
C. 5x (x-4)
D. (5x-4)(x+5)
Find equation where line passes through (7,8) and perpendicular to line y=8
Which mathematical property is demonstrated?
40 * (25 * 74) = (40 * 25) * 74
Question 3 options:
associative property of addition
commutative property of multiplication
commutative property of addition
associative property of multiplication
Answer:
Step-by-step explanation:
The associative property of multiplication states that the product is the same regardless of their grouping. In this case, after simplifying the expression given, we can see that indeed the products are the same hence that fact that they have different grouping
Find the x-intercept of parabola with the vertex (-7,45) and y-intercept (0,-200). Write your answer in this form (x, y) , (x, y)
Answer:
(-10,0),(-4,0) for Plato/Edmentum Users
Step-by-step explanation:
Have a great day
What is the period of the function y=-4sin (2/3x-pi?3)?
Please help me Factor -4d3 + 28d2 - 4d
Answer:
The factored form of the expression [tex]\( -4d^3 + 28d^2 - 4d \)[/tex] is [tex]\( -4d(d - 1)(d - 1)(6d - 1) \).[/tex]
Explanation:
To factor the expression [tex]\( -4d^3 + 28d^2 - 4d \)[/tex], we can first look for the greatest common factor (GCF) among the terms. In this case, the GCF is [tex]\( -4d \).[/tex]
So, we can factor out [tex]\( -4d \)[/tex] from each term:
[tex]\[ -4d(d^2 - 7d + 1) \][/tex]
Now, let's focus on factoring the quadratic expression inside the parentheses, [tex]\( d^2 - 7d + 1 \)[/tex]. To factor this quadratic expression, we need to find two numbers that multiply to give the constant term (1) and add to give the coefficient of the linear term (-7d). Since the constant term is 1, the only possible combination is 1 and 1.
So, we can rewrite the expression as:
[tex]\[ -4d(d^2 - 7d + 1) = -4d(d^2 - d - 6d + 1) \][/tex]
Now, we can group the terms and factor by grouping:
[tex]\[ -4d((d^2 - d) + (-6d + 1)) \][/tex]
[tex]\[ -4d(d(d - 1) - 1(6d - 1)) \][/tex]
Now, we can factor further:
[tex]\[ -4d(d - 1)(d - 1)(6d - 1) \][/tex]
solve for n
4n + 2 = 6 (1/3n - 2/3)
The solution of expression for the value of n is, n = - 3.
Used the concept of expression that states,
Mathematical expression is defined as the collection of numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that,
The expression is,
[tex]4n + 2 = 6 (\dfrac{1}{3} n - \dfrac{2}{3} )[/tex]
Now simplify the expression by combining like terms and apply the distributive property as,
[tex]4n + 2 = 6 (\dfrac{1}{3} n - \dfrac{2}{3} )[/tex]
Apply distributive property,
[tex]4n + 2 = (\dfrac{6}{3} n - \dfrac{12}{3} )[/tex]
[tex]4n + 2 = 2n - 4[/tex]
Combine like terms,
[tex]4n - 2n = - 4 - 2\\[/tex]
[tex]2n = - 6\\[/tex]
[tex]n = - 3[/tex]
Therefore, the value of n is - 3.
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There are 3 drama movies 8 comedy movies and 4 action movies what's the ratio of dramas to movies ?
Please help ASAP : ))))
Trevor went to fill his car up with gas. It costs $2.95 per gallon of gas. Trevor also bought a car wash for $11.25. Trevor's total bill at the gas station was $52.55.
A) Write an equation that represents this situation.
B) How many gallons of gas did Trevor purchase at the gas station?
-2(5+6m)+16= -90 and then :(?