Natural logarithm (redirect from LN(1+X))including: ln ( 1 + x ) = x 1 1 − x 2 2 + x 3 3 − x 4 4 + x 5 5 − ⋯ = x 1 − 0 x + 1 2 x 2 − 1 x + 2 2 x 3 − 2 x + 3 2 x 4 − 3 x + 4 2 x 5 − 4 x + ⋱ {\displaystyle32 KB (5,254 words) - 16:48, 18 October 2021
add 8 to m, multiply the result by 4, then add 3 to what you have
(8 + m)4 + 3
This is ur answer have a good day
In Triangle ABC with vertices A(-5,-4), B(3,-2), and C(-1,6), M is the midpoint of AB and N is the midpoint of BC. Show that MN = 1/2 AC. Provide your complete solutions and proofs in your paper homework and enter the numeric answers online
The midpoint of a line divides the line into equal segments.
See below for the proof of [tex]\mathbf{MN = \frac{1}{2}AC}[/tex]
The given parameters are:
[tex]\mathbf{A = (-5,-4)}[/tex]
[tex]\mathbf{B = (3,-2)}[/tex]
[tex]\mathbf{C = (-1,6)}[/tex]
The coordinates of M (midpoint of AB) are calculated as follows:
[tex]\mathbf{M = \frac{1}{2}(x_1 + x_2, y_1+y_2)}[/tex]
So, we have:
[tex]\mathbf{M = \frac{1}{2}(-5 + 3, -4-2)}[/tex]
[tex]\mathbf{M = \frac{1}{2}(-2, -6)}[/tex]
[tex]\mathbf{M = (-1, -3)}[/tex]
The coordinates of N (midpoint of BC) are calculated as follows:
[tex]\mathbf{N = \frac{1}{2}(x_1 + x_2, y_1+y_2)}[/tex]
So, we have:
[tex]\mathbf{N = \frac{1}{2}(3 - 1, -2 +6)}[/tex]
[tex]\mathbf{N = \frac{1}{2}(2, 4)}[/tex]
[tex]\mathbf{N = (1, 2)}[/tex]
Distance MN is:
[tex]\mathbf{MN = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}[/tex]
So, we have:
[tex]\mathbf{MN = \sqrt{(-1 - 1)^2 + (-3 - 2)^2}}[/tex]
[tex]\mathbf{MN = \sqrt{29}}[/tex]
Distance AC is calculated as follows:
[tex]\mathbf{AC= \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}[/tex]
So, we have:
[tex]\mathbf{AC= \sqrt{(-5 - -1)^2 + (-4 - 6)^2}}[/tex]
[tex]\mathbf{AC= \sqrt{116}}[/tex]
Split
[tex]\mathbf{AC= \sqrt{4 \times 29}}[/tex]
Take positive square root of 4
[tex]\mathbf{AC= 2\sqrt{29}}[/tex]
To prove that:
[tex]\mathbf{MN = \frac{1}{2}AC}[/tex]
We have:
[tex]\mathbf{\sqrt{29} = \frac{1}{2} \times 2\sqrt{29}}[/tex]
[tex]\mathbf{\sqrt{29} = \sqrt{29}}[/tex]
The above equation is true.
Hence. [tex]\mathbf{MN = \frac{1}{2}AC}[/tex]
Read more about midpoints and distance at:
https://brainly.com/question/11231122
Which of the following numbers can be exposed as repeated decimals? 5/7 4/5 7/9 5/8
A. 7/9 and 5/8
B. 5/7 and 4/5
C. 5/7 and 7/9
D.4/5 and 5/8
Answer:
C.
Step-by-step explanation:
5/7=.714285714 and so on
7/9=.777777778 and so on
If ALTU ASBP
then TU = [?]
Enter the letters that belong in the
green box.
Enter
Answer:
BP
Step-by-step explanation:
the letters are congruent in order, so the last 2 letters of both sides are congruent
Write the equation of the line in fully simplified slope-intercept form.
Answer:
y= [tex]\frac{5}{6} x[/tex] + 4
Step-by-step explanation:
Pick two points: (-6,-10) and (0,4)
Then solve for m (slope): I picked (0,4)
[tex]m= \frac{4-(-1)}{0-(-6)} =\frac{5}{6}[/tex]
Then put in slope intercept form:
4= [tex]\frac{5}{6} (0)[/tex] + b
4=b
Then put in final form:
y= [tex]\frac{5}{6} x[/tex] + 4
Hope this helps!
Answer:
y=5/6x+4
Step-by-step explanation:
The mass of Earth is approximately 5.97 × $10^{24}$ kilograms. The mass of Mars is approximately 639,000,000,000,000,000,000,000 kilograms. What is the mass of Mars in Scientific Notation? $10^{23}$
9514 1404 393
Answer:
6.39×10²³
Step-by-step explanation:
There are 23 digits to the right of the most significant digit (6), so it is in the number place with a place value of 10²³. The number in scientific notation is ...
6.39×10²³ . . . . kg
complete the following statements of congruence zyx
Answer:
cba
Step-by-step explanation:
yes correct answer x yimes h yomes z
Write a system of equations to describe the situation below, solve using substitution, and fill
in the blanks.
Devon just became a personal trainer and is finalizing her pricing plans. One plan is to charg
$51 for the initial consultation and then $48 per session. Another plan is to charge $38 for
the consultation and $49 per session. Devon realizes that the two plans have the same cost
for a certain number of sessions. What is that cost? How many sessions is that?
The cost on either plan is $|
for
sessions.
Submit
Answer:
13 sessions
The cost for either plan: $675
Step-by-step explanation:
48x + 51 = 49x + 38
51 - 38 = 49x - 48x
13 = x
the graph of y=−3x+2
The attached image is the graph.
Answer:
The Graph Below
Step-by-step explanation:
You would start at 2 on the y-axis and going down 3 on the y-axis and move over 1 on the x-axis
I hope this helps
which of these points is closest to the point (7,1)?
A. (4,1)
B. (7,-1)
C. (7,4)
D. (11,1)
Answer:
7,-1 should be the answer but I am not fix ok wait for others comment
Ms.Jensen surveyed her class and found that 2/3 of her class has a dog.Of those students who have a dog,1/4 also have a cat.What fraction of the students have both?
Sorry im confused:
Answer:
1/6
Step-by-step explanation:
2/3 of the class has a dog, and 1/4 of the class has a cat. This means that some people will have both a cat and a dog.
You have to find the fraction of students who have both, so you have to multiply 2/3 and 1/4, 2*1 = 2, and 3*4 = 12, so the fraction is 2/12.
2/12 can be simplified to 1/6.
So, the amount of students in the class that have both a cat and a dog are 1/6.
Answer:
The answer is 1/6.
Take some time but answer correctly
Answer:
c) 2⁻⁹
Step-by-step explanation:
1) use negative power rule: [tex]x^{-a} =\frac{1}{x^{a} }[/tex]
1/2⁹
2) simplify ₂⁹ to 512
1/512 ( same as (8) ⁻3
Answer:
c
Step-by-step explanation:
Using the rule of exponents
[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]
note that 8 = 2³ , then
[tex](8)^{-3}[/tex]
= [tex](2^3)^{-3}[/tex]
= [tex]2^{3(-3)}[/tex]
= [tex]2^{-9}[/tex] → c
Como aser conjuntos
No entiendo cuál es la pregunta, ¿qué son los conjuntos? si es la respuesta es ........
En matemáticas, un conjunto es una colección de elementos. Los elementos que componen un conjunto pueden ser cualquier tipo de objeto matemático: números, símbolos, puntos en el espacio, líneas, otras formas geométricas, variables o incluso otros conjuntos. El conjunto sin elemento es el conjunto vacío; un conjunto con un solo elemento es un singleton.
Which equation represents the line with slope 1/4 that passes through (-4, 8)?
A
y = 1x + 7
B
y = -4x + 24
С
y = -4x – 8
D
y = 1x + 9
Answer
B DID THE TEST
Step-by-step explanation:
YOU WILL DO YOU GOOD LUCK
What is the answer for this question:12+2c+6d-8c+d
Answer:
12+10c+7d
Step-by-step explanation:
There is no possible way to really describe the value of the variables, so I simplified it.
10, 8) and (-5, 8) What is the formula and slope for the points above?
Answer:
formula: (y_2-y_1)/(x_2-x_1)
slope: 0
Step-by-step explanation:
1. The formula to find the slope given two points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].
2. (Solving)
[tex]\frac{8-8}{-5-10}[/tex] [tex]\frac{0}{-15}[/tex] [tex]0[/tex]Therefore, the slope is 0.
Cup o’ Coffee buys its coffee for $1.25 a cup. The coffee shop then sells each cup for $3.75. What is the percent markup for a cup of coffee?
Answer:
47%
Step-by-step explanation:
.375 × .125 = .046875
rounding up, 5 keeps the 7 as is, 7 is greater than 5, therefore the 8, becomes a 9, 9 is greater than 5, so the 6 becomes a 7, .047.
move the decimal three digits to the left and you get, 47%.
Hope this helps brainlest? please
are two of the same looking triangle but different sizes mean they are congruent?
Answer:
No
Step-by-step explanation:
They are similar
Answer:
Congruent triangles Two or more triangles that have the same size and shape are called congruent triangles. The four triangles are congruent with each other regardless whether they are rotated or flipped. The congruence of two objects is often represented using the symbol
Step-by-step explanation:
Solve for y in terms of v, w, x, and z.
wy=–zvx
Answer:
y = (-zvx)/w
........
LOL LAST 1 IM SORRY AHHHH !!!!
Answer:
102
Step-by-step explanation:
Answer:
Fairly easy just 180-102-30= 48 degrees So since you know the third angle within that triangle just take 180 - 48 which gives you 132 degrees. 132 is the angle FGH.
Step-by-step explanation:
180- 102 - 30= 48 degrees
180 - 48 = 132 degrees
7. Find a fraction between 1/7
and
6/7
Please answer quickly.
Answer:
[tex] \frac{2}{7} [/tex]
[tex] \frac{3}{7} [/tex]
Explain why the slope of line a is 2/6.
Answer:
The slope of a line is 2/6 because slope also means rise over run (y/x). So the line's slope is 2/6 because it goes up (rises) in the y-direction 2 units and moves to the right (runs) 6 units, from one point to another.
Step-by-step explanation:
Help me Plz :))
What are the dimensions of AB?
Answer:
c 2*3
Step-by-step explanation:
I think its correct
write an inequality whose solutions are represented by the shaded part of the graph
Answer:
x > 3
Step-by-step explanation:
One eight of a pizza pie is sold for 65 cent. How much will be received
Answer:
I don't know haha
Step-by-step explanation:
Salamat nalang sa points
Answer:
the whole pizza would cost $5.20
Step-by-step explanation:
1/8 = $0.65
8/8 = 1 = $5.20
0.65 × 8 = 5.2
is this what you mean??
Let f (x) represent a function.
Which descriptions match the given transformations?
Drag and drop the answers into the boxes.
f(x)−4 involves translating the graph of f(x) DOWN by 4 units.
4f(x) involves vertical stretching of the graph by a factor of 4.
How to solve this question ????
Help me please
The area of a square is 25/36 in ^2. What is the length of its side
Answer:
5/6 inches
Step-by-step explanation:
An area of a square is basically length * width but the length and width are the same length so we can simply do the square root of (25/36)
5/6 is your final answer
A city has 1,242 law enforcement officers in the police department. If the officers are divided equally into 18 groups, how many officers will be in each group?
Answer:
69
Step-by-step explanation:
1,242 ÷ 18 = 69
Since the problem says divided equally, you will need to divide the total number of officers into 18 groups.
-kiniwih426
Members per group:-
[tex]\\ \sf\longmapsto \dfrac{1242}{18}[/tex]
[tex]\\ \sf\longmapsto 69[/tex]
There is a raffle at a hockey game and 250 tickets are sold. Trenton bought 88 tickets. What percent of the
tickets does Trenton have?
Answer:
35.2%
Step-by-step explanation:
88/250
88x4=352
250x4=1000
352/1000=35.2/100