Answer:
Option B.
Step-by-step explanation:
Let as consider the given equation:
[tex]2\ln e^{\ln 2x}-\ln e^{\ln 10x}=\ln 30[/tex]
It can be written as
[tex]2(\ln 2x)-(\ln 10x)=\ln 30[/tex] [tex][\because \ln e^a=a][/tex]
[tex]\ln (2x)^2-(\ln 10x)=\ln 30[/tex] [tex][\because \ln a^b=b\ln a][/tex]
[tex]\ln \dfrac{4x^2}{10x}=\ln 30[/tex] [tex][\because \ln \dfrac{a}{b}=\ln a-\ln b][/tex]
[tex]\ln \dfrac{2x}{5}=\ln 30[/tex]
On comparing both sides, we get
[tex]\dfrac{2x}{5}=30[/tex]
Multiply both sides by 5.
[tex]2x=150[/tex]
Divide both sides by 2.
[tex]x=75[/tex]
Therefore, the correct option is B.
Answer:
b x=75
Step-by-step explanation:
Help me solve this!!!
Answer:
m∠AOD = 140°
Step-by-step explanation:
In the diagram attached,
OA⊥OC and OB⊥OD
m∠AOD = 3.5(m∠BOC)
Since, m∠BOD = 90° [Given: OA⊥OC]
m∠BOC + m∠COD = 90° ---------(1)
Similarly, m∠AOC = 90° [Given : OA⊥OC]
m∠AOB + m∠BOC = 90° --------(2)
Equation (1) - Equation(2)
(m∠BOC + m∠COD) - (m∠AOB + m∠BOC) = 90°- 90°
m∠COD = m∠AOB
m∠AOB + m∠BOC + m∠COD = m∠AOD --------(3)
m∠AOB + m∠BOC + m∠AOB = 3.5(m∠BOC) [Since m∠COD = m∠AOB]
2m∠AOB = 3.5(m∠BOC) - m∠BOC
2m∠AOB = 2.5(m∠BOC)
m∠AOB = 1.25(m∠BOC)
From equation (2),
m∠AOB + m∠BOC = 90°
1.25(m∠BOC) + m∠BOC = 90°
2.25(m∠BOC) = 90°
m∠BOC = 40°
From equation (1),
m∠BOC + m∠COD = 90°
m∠COD + 40° = 90°
m∠COD = 50°
Now by putting these values in equation (3)
m∠AOB + m∠BOC + m∠COD = m∠AOD
m∠COD + m∠BOC + m∠COD = m∠AOD
50° + 40° + 50°= m∠AOD
m∠AOD = 140°
Find the measure of each angle in Triangle ABC
Answer:
m<A = 133 degrees
m<B = 17 degrees
m<C = 30 degrees
Step-by-step explanation:
In a triangle, all the angles add up to 180 degrees.
So, adding all the angles gets us,
39x + 24
This equals 180 degrees so,
39x + 24 = 180
Subtract 24 from both sides,
39x + 24 - 24 = 180 - 24
39x = 156
Divide both sides by 39
x = 4
Now we have x = 4, we use this to plug in each equation of the angles.
m<A = 40(4) - 27 = 160 - 27 = 133
m<B = 25 - 2(4) = 25 - 8 = 17
m<C = 26 + 4 = 30
Please help look at the question in image
Answer:
In part 1, the value for D is given. Putting D as 1 gives us the answer 17/20
In part 2, the value of E is given as 1, putting E as 1 gives us D = 20/17
There are four main steps in building a Monte Carlo simulation: select probability distribution(s); run the simulation model through a large number of trials; analyze results of multiple trials to assess risks and opportunities; and generate ______ variables.
Answer:
random
Step-by-step explanation:
Monte Carlo simulation is a technique which is used to analyze the impact of risk and uncertainty in financial projects and forecasting models. It helps to understand the potential outcomes to better understand the decision based on risk level. It analyzes the probability of different outcomes by intervention of random variables.
in the similarity transformation of ABC to DEF ABC was dilated by a scale factor of ? reflected across the ? and moved through the translation ?
Answer:
Does the answer help you?
Which graph has an amplitude of 1/2?
Answer:
Step-by-step explanation:
The only graph shown in the question doesn't have amplitude 1/2. look for a graph of a periodic wave function that has maximum y-value 1/2 (0.5) and minimum y-value 1/2 (0.5), or if it is not oscillating around the x-axis, verifies that the distance between minimum y-value and maximum y-value is "1" (one). This is because the amplitude is half of the peak-to-peak distance.
Look at the attached image as example.
Answer:
Answer is B
Step-by-step explanation:
Did it on Edge
Given the diagram below, where and mDE = 105^ and mGE = 125^ Find m
a. 65
b. 62.5
c. 55
d. 52.5
*Complete Question:
Given the diagram below, where and mDE = 105^ and mGE = 125^ Find m<DEG
Answer:
m<DEG = 65°
Step-by-step explanation:
Angle DEG is an inscribed angle that intercepts the DG. Based on the theorem of inscribed angles, angle DEG = ½ of the measure of arc DG.
To find the measure of angle DEG, find the measure of arc DG first.
Measure of arc DG = 360° - (105° + 125°) => a full circle measures 369°
Arc DG = 360° - 230 = 130°.
m<DEG = ½ of 130° = ½*130° = 65°
Fill in the blanks and explain the pattern.
4.25, 4.5,__,__,__,5.5,__,6.0
Answer:
4.25, 4.5, 4.75, 5.00, 5.25, 5.5, 5.75, 6.00
Step-by-step explanation:
it is an arithmetic sequence with common difference 0.25
Can someone help me with this
Answer:
Step-by-step explanation:
If two triangles have two congruent sides and a congruent non included angle, then triangles are not necessarilly congruent.
True or false? "In any sample data set, the sum of all the values is equal to the product of the mean and the sample size."
Answer:
TRUEStep-by-step explanation:
One of the method of analysing the distribution of a dataset is by finding the mean of the dataset which is part of the measure of central of tendency.
Mean of a dataset is also known as the average and it is the ratio of the sum of the individual dataset to the sample size.
Mathematically xbar = ΣXi/N where
ΣXi is the sum of the individual dataset
N is the sample size
xbar is the mean
From the formula, ΣXi = xbar * N
This means that the sum of the individual dataset (all values in the dataset) is equal to the product of the mean (xbar) and the sample size(N).
Hence the statement that In any sample data set, the sum of all the values is equal to the product of the mean and the sample size."is TRUE
Find the derivative of the function f(x) = (x3 - 2x + 1)(x – 3) using the product rule.
then by distributing and make sure they are the same answer
Answer:
Step-by-step explanation:
Hello, first, let's use the product rule.
Derivative of uv is u'v + u v', so it gives:
[tex]f(x)=(x^3-2x+1)(x-3)=u(x) \cdot v(x)\\\\f'(x)=u'(x)v(x)+u(x)v'(x)\\\\ \text{ **** } u(x)=x^3-2x+1 \ \ \ so \ \ \ u'(x)=3x^2-2\\\\\text{ **** } v(x)=x-3 \ \ \ so \ \ \ v'(x)=1\\\\f'(x)=(3x^2-2)(x-3)+(x^3-2x+1)(1)\\\\f'(x)=3x^3-9x^2-2x+6 + x^3-2x+1\\\\\boxed{f'(x)=4x^3-9x^2-4x+7}[/tex]
Now, we distribute the expression of f(x) and find the derivative afterwards.
[tex]f(x)=(x^3-2x+1)(x-3)\\\\=x^4-2x^2+x-3x^3+6x-4\\\\=x^4-3x^3-2x^2+7x-4 \ \ \ so\\ \\\boxed{f'(x)=4x^3-9x^2-4x+7}[/tex]
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
How many times does 1/4 go into 3/8
Answer:
3/2
Step-by-step explanation:
3/8 ÷ 1/4
Copy dot flip
3/8 * 4/1
12/8
Divide top and bottom by 4
3/2
Which transformation was applied to Figure 1 in order to arrive at Figure 2? Geometry A
Answer:
(B) Reflection in the x-axis
Step-by-step explanation:
We can see that these triangles have the exact same x-coordinates, however their y coordinates are opposite each other. This means that if we wanted to get one of the triangles to the other, we’d have to reflect over the x-axis
(by default, if the x values are the same and y are opposite, reflect across x axis. If y values are the same and x is opposite, reflect over y. it’s sort of like opposites.)
Hope this helped!
Write an explicit formula for the sequence.
-4,7,-10,13,-16
Step-by-step explanation:
Sequence is
4
,
7
,
10
,
13
,
16
,
.
.
.
a
1
=
4
,
a
2
=
7
,
a
3
=
10
,
.
.
.
If it is Arithmetic sequence,
a
2
−
a
1
=
a
3
−
a
2
=
a
4
−
a
3
& so on
In the given sum,
a
2
−
a
1
=
7
−
4
=
3
a
3
−
a
2
=
10
−
7
=
3
a
4
−
a
3
=
13
−
10
=
3
Since the difference between the successive terms is same and
hence
common difference
d
=
3
You work as a residential painter. A customer wants two tables and eight chairs painted using one coat of the same color paint. Each table requires 158
5
8
quarts of paint, and each chair requires 23
2
3
quarts of paint. How many total quarts of paint should you bring to paint this furniture?
Each table requires = 158 quarts paint
Each chair = 23 quarts of paint
Total no. Of coats = 1
Total chairs = 8
Total table = 2
Total paint required = (158×2)+(23×8)
= 500 quarts of paint
Must click thanks and mark brainliest
correct answer gets brainliest!
find two expressions whose difference is 3x + 4
Answer:
(7x+4) and (4x)
Step-by-step explanation:
The two expressions are (7x+4) and (4x)
Use the Pythagorean theorem to find the length of the hypotenuse in the triangle shown below.4,3
Answer:
5
Step-by-step explanation:
a^2 + b^2 = c^2
4^2 + 3^2 = c^2
16 + 9 = c^2
25 = c^2
c = 5
Answer:
5Step-by-step explanation:
[tex]Hypotenuse = ?\\Opposite = 4\\Adjacent = 3\\\\Pythagoras \: Theorem ;\\\\Hypotenuse^2 =Opposite^2+Adjacent ^2\\\\Hypotenuse^2 = 4^2 +3^2\\\\Hypotenuse^2 = 16+9\\\\Hypotenuse^2 = 25\\\\\sqrt{Hypotenuse^2}=\sqrt{25} \\Hypotenuse = 5[/tex]
which of the following are ordered pairs for the given function f(x)=1+x.? (1,2) (3,3) (0,2) (1,0) (0,1)
Answer:
no,
(
1
,
0
)
is not an ordered pair of the function
f
(
x
)
=
1
+
x
.
Step-by-step explanation:
Ordered pairs are usually written in the form
(
x
,
y
)
by tradition.
so usingthe function,
f
(
x
)
=
1
+
x
we can rewrite it as,
y
=
1
+
x
any pair of x and y that satisfy this equation are solutions to the equation.
so subbing in
(
1
,
0
)
,
0
=
1
+
(
1
)
0
=
2
which is not true so the point does not make the function true.
It might be easier to see graphically,
graph{1+x [-10, 10, -5, 5]}
any combination of x and y on this line make the equation true and as such are an ordered pair of the function.
Answer:
Step-by-step explanation:
A city of Punjab has a 15 percent chance of wet weather on any given day. What is the probability that it will take a week for it three wet weather on
3 separate days? Also find its Standard Deviation
Answer:
a. 0.06166
b. 0.9447
Step-by-step explanation:
15 percent is the probability it will rain on any given day. P = 0.15
lets define x as the number of days it will rain in one week.
this solution will follow a binomial distribution.
p(X=x) = nCxP^x(1-p)^x
n = 7
x = 3
1-p = 0.85
p =0.15
inserting these values into the formula
p(X=3)=7C3(0.15)^3(0.85)^4
= 7!/4!3! × 0.003375 × 0.5220
= 35 × 0.003375 × 0.5220
= 0.06166
sd = √np(1-p)
= √7 × 0.15(0.85)
= 0.9447
Spud's mom is going to make him a round birthday cake, and has asked for your help. Spud is a bit weird, and has already
announced that when he slices the cake, your slice will have a perimeter of 16 inches, because you're his favorite friend, and
that's his favorite number. Since you're helping his mom with the baking, what diameter cake will you recommend she makes
so that you end up with the most possible cake at weird Spud's party? (Hint: you can ignore the thickness of the cake, since
this will be the same, regardless of its diameter.)
Answer:
16 x 16 = 256
Step-by-step explanation:
So 256 might be the answer? this is confusing but are you on IXL?
7. Suppose that y varies inversely with x. Write an equation for the inverse variation,
y = 4 when x = 6
A
у
x =
2
B
х
y =
24
с
24
y =
OD y = 2x
Answer:
The answer is
[tex]y = \frac{24}{x} [/tex]Step-by-step explanation:
The statement
y varies inversely with x is written as
[tex]y = \frac{k}{x} [/tex]
where k is the constant of proportionality
To find k substitute the values of x and y into the equation
From the question
y = 4
x = 6
We have
[tex]4 = \frac{k}{6} [/tex]
Cross multiply
k = 4 × 6
k = 24
So the formula for the variation is
[tex]y = \frac{24}{x} [/tex]Hope this helps you
Answer: 5
Step-by-step explanation:
In rectangle ABCD, point E lies half way between sides AB and CD and halfway between sides AD and BC. If AB=10 and BC=2, what is the area of the shaded region? Answer as a decimal, if necessary. Little confused on this one.
Answer:
10 units²
Step-by-step explanation:
Consider the unshaded region to consists of 2 triangles, ∆AED and ∆BEC, which are both of equal dimensions. Their bases and heights are both the same. Both triangles are embedded inside a rectangle ABCD.
Area of the shaded region = Area of rectangle - area of the 2 triangles.
Area of rectangle = l*w
l = 10
w = 2
[tex] Area_R = 10*2 = 20 units^2 [/tex]
Area of the 2 triangles = 2(½*b*h)
b = 2
h = 5
[tex]Area_T = 2(\frac{1}{2}*2*5)[/tex]
[tex] Area_T = 1*2*5 = 10 units^2 [/tex]
Area of shaded region = 20 - 10 = 10 units²
15+9=? (5+3) What number is missing from the expression?
Answer:
[tex] \boxed{ \boxed{ \bold{ \mathsf{3}}}}[/tex]Step-by-step explanation:
Let the missing number be 'x'
⇒[tex] \mathsf{15 + 9 = x(5 + 3)}[/tex]
Distribute x through the parentheses
⇒[tex] \mathsf{15 + 9 = 5x + 3x}[/tex]
Swap the sides of the equation
⇒[tex] \mathsf{5x + 3x = 15 + 9}[/tex]
Add the numbers
⇒[tex] \mathsf{5x + 3x = 24}[/tex]
Collect like terms
⇒[tex] \mathsf{8x = 24}[/tex]
Divide both sides of the equation by 8
⇒[tex] \mathsf{ \frac{8x}{8} = \frac{24}{8} }[/tex]
Calculate
⇒[tex] \mathsf{x = 3}[/tex]
Hope I helped!
Best regards!
Plaz guys help me on this question additional mathematics
Answer:
Step-by-step explanation:
vector OA=a
vector OB=b
vector OX= λ vector OA=λa
vector OY=μ vector OB=μb
a.
1.vector BX=(vector OX-vector OB)=λa-b
ii. vector AY=(vector OY-vector OA)=μb-a
b.
5 vector BP=2 vector BX
5(vector OP-vector OB)=2 (vector OX-vector OB)
5(vector OP-b)=2(λa-b)
5 vector OP-5b=2λa-2b
5 vector OP=2λa-2b+5b
vector OP=1/5(2λa+3b)
ii
complete it.
If each interior angle of a regular polygon measures 160°, how many sides does it have?
Answer:
18
Step-by-step explanation:
Each exterior angle is the supplement of the adjacent interior angle, so is ...
180° -160° = 20°
The total of all n of these exterior angles is 360°, so we have ...
n(20°) = 360°
n = 18 . . . . . . . . . divide by 20°
The polygon is an 18-gon. It has 18 sides.
Answer:
18 Sides
Step-by-step explanation:
Each interior angle = 160°
Each exterior angle = 180° - 160° = 20°
The sum of the exterior angles = 360°
Hence the number of exterior angles =360°/20°
= 18
The polygon has 18 sides (since it has 18 exterior angles).
Hope this helps.
Please mark me as Brainliest.
the sum of (a-b)^2 and (a+b)^2
Answer:
sum is 2(a² + b²)
Step-by-step explanation:
[tex] {(a - b)}^{2} + {(a + b)}^{2} \\ = ( {a}^{2} - 2ab + {b}^{2} ) + ( {a}^{2} + 2ab + {b}^{2} ) \\ = 2 {a}^{2} + 2 {b}^{2} \\ = 2( {a}^{2} + {b}^{2} )[/tex]
3(x–6)=18 help plese
Answer:
x = 12
Step-by-step explanation:
3(x–6)=18
x-6 = 18:3
x-6 = 6
x = 6+6
x = 12
Answer:
x=12
Step-by-step explanation:
Can anyone help me?
Answer:
y is not a function of x
Step-by-step explanation:
This fails the vertical line test. This means that not all inputs have exactly one output. This makes this not a function.
6(x + 2) = 30Solve the following linear equation
Answer:
[tex]\huge \boxed{x=3}[/tex]
Step-by-step explanation:
[tex]6(x+2)=30[/tex]
[tex]\sf Divide \ both \ sides \ by \ 6.[/tex]
[tex]x+2=5[/tex]
[tex]\sf Subtract \ 2 \ from \ both \ sides.[/tex]
[tex]x=3[/tex]
Answer:
3
Step-by-step explanation:
30 = 6(x+2)
30/6 = 5
5 = x+2
5-2 = 3
3=x
This is a pretty simple question and I tried to make it as simple as possible when explaining it.
(4x2y3)2=? thank you for the help
Answer:
Step-by-step explanation:
2 3x2y3