Answer:
x = 5 ln 1.2Step-by-step explanation:
[tex]5e^{0.2x}=6[/tex][tex]e^{0.2x}=6/5[/tex][tex]e^{0.2x}=1.2[/tex][tex]ln (e^{0.2x})= ln 1.2[/tex]0.2x = ln 1.2x = 5 ln 1.2Answer:
[tex] \displaystyle \rm {x}=5 \ln \bigg(\frac{6}{5} \bigg) \: or \: 0.91(approx)[/tex]
Step-by-step explanation:
we are given a logarithmic equation
[tex] \displaystyle {5e}^{0.2x} = 6[/tex]
we want to figure out x
remember that,
[tex] \ln( {e}^{x} ) = x[/tex]
therefore to use the above formula with our given equation
divide both sides by 5:
[tex] \displaystyle \frac{{5e}^{0.2x} }{5}= \frac{6}{5} [/tex]
[tex] \displaystyle {e}^{0.2x} = \frac{6}{5} [/tex]
take In both sides:
[tex] \displaystyle \ln({e}^{0.2x} )= \ln \bigg(\frac{6}{5} \bigg)[/tex]
by using the formula we acquire
[tex] \displaystyle 0.2x= \ln \bigg(\frac{6}{5} \bigg)[/tex]
we can rewrite left hand side as fraction
[tex] \displaystyle \frac{1}{5} x= \ln \bigg(\frac{6}{5} \bigg)[/tex]
multiply both sides by 5
[tex] \displaystyle x=5 \ln \bigg(\frac{6}{5} \bigg)[/tex]
and we are done!
special right triangle desmo
9514 1404 393
Answer:
x = 15√3
y = 30
Step-by-step explanation:
In a 30°-60°-90° "special" triangle, the ratios of side lengths are ...
1 : √3 : 2
Your diagram shows the short side is 15, so the other sides can be found by multiplying the above ratio numbers by 15.
1 : √3 : 2 = 15 : x : y = 15 : 15√3 : 30
x = 15√3
y = 30
A linear function has an x-intercept of
-2 and a y-intercept of 6. Which of the
following is an equation of the linear
function?
PLEASEE IM DOING A TEST!!
Answer:
y = -1/3x + 6
Step-by-step explanation:
You have the formula y = mx + b
We can put in:
b=6
m=-2/6=-1/3
y=-1/3x+6
Hey guys I need help with this
Answer:
use the reverse Pythagorean therm BC= 4 DE= 4.8
Step-by-step explanation:
The square root of 5(squared) - 3(squared) = 4
the square root of 8(squared) - 6.4(squared) = 4.8
The lowest point in a business cycle, which follows a period of economic
decline, is called a(n)
A. trough
B. contraction
C. peak
D. expansion
The lowest point in a business cycle, which follows a period of economic
decline, is called a trough. Therefore, option A is the correct answer.
What is a period of economic decline?A prolonged period of weak or negative real GDP (output) growth that is accompanied by a noticeably higher unemployment rate is known as a recession. During a recession, a lot of other economic activity indices are similarly weak.
Trough: This refers to the stage of the business cycle when economic activity is at its lowest point.
Expansion: It denotes the period following a dip when overall demand rises. It leads to a rise in output and a decrease in unemployment.
In the business cycle, expansions and contractions alternate (also called recessions).
Recessions frequently begin at the business cycle's high, when an expansion comes to an end, and finish at its trough, when the following expansion starts.
Therefore, option A is the correct answer.
Learn more about a period of economic decline here:
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Rewrite without absolute value sign.
|x+12| if x>-11
Simple Random Sample of Size 25:
Chances are, since you are studying AP Statistics, you plan to earn at least a bachelor's degree from college. According to the U.S. Census Bureau, 29% of Americans age 25 years or older have already earned a bachelor's or more advanced degree. You decide to randomly select 58 adults over the age of 25 to ask if they have earned at least a bachelor's degree. Describe the sampling distribution of the proportion of respondents who have earned at least a bachelor's degree.
Answer:
By the Central Limit Theorem, it is approximately normal with mean 0.29 and standard deviation 0.0596
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
According to the U.S. Census Bureau, 29% of Americans age 25 years or older have already earned a bachelor's or more advanced degree.
This means that [tex]p = 0.29[/tex]
You decide to randomly select 58 adults over the age of 25 to ask if they have earned at least a bachelor's degree.
This means that [tex]n = 58[/tex]
Describe the sampling distribution of the proportion of respondents who have earned at least a bachelor's degree.
By the Central Limit Theorem, it is approximately normal with mean [tex]\mu = p = 0.29[/tex] and the standard deviation is [tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.29*0.71}{58}} = 0.0596[/tex]
The name for the expression 3/13 is:
radical
radicand
radical sign
index
Answer:
Radical.
Step-by-step explanation:
To explain;
3√13 is a radical.
The 3 in this expression is known as the index.
The 13 in this expression is known as the radicand.
The √ is considered the radical sign.
The given expression is the radical sign.
The given expression is [tex]3\sqrt{3}[/tex].
What is the square of the number indicates?The √ symbol is used to denote square root or nth roots. Radical Expression - A radical expression is an expression containing a square root. Radicand - A number or expression inside the radical symbol.
Therefore, the given expression is the radical sign.
To learn more about the radicals visit:
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Identify the lateral area and surface area of a right cone with radius 7 cm and slant height 15 cm.
Answer:
lateral area is 329.7 and the surface area is 483.56
Step-by-step explanation:
Lateral area = [tex]\pi (7)(15) = 105\pi = 329.7\\[/tex]
Surface area = lateral area + base area
Base area= [tex]\pi r^{2}[/tex] = [tex]\pi (7)^{2}[/tex] = [tex]49\pi[/tex]
Surface area = 105[tex]\pi + 49\pi = 154\pi = 483.56[/tex]
Please help meeeeeeeeeew
MAX POINTS!!!!! ARCS & ANGLES NEED TO KNOW HOW TO DO IT. ANSWERS ALSO VERY MUCH APPRECIEATED !!!FRESHMAN CLASS GEOMETRY!!!
Answer:
#1
12x + 5 = 1/2(83 + 95) 12x + 5 = 8912x = 84x = 7#2
9x + 7 = 1/2(198 + 7x - 8)18x + 14 = 198 + 7x - 811x = 176x = 16#3
15x - 8 = 1/2(16x + 1 + 5x + 19)30x - 16 = 21x + 209x = 36x = 4#4
20x - 4 = 360 - 2*7220x = 220x = 11#5
13x - 1 = 2(6x + 11)13x - 1 = 12x + 22x = 23#6
46 = 1/2(21x - 5 - x - 23)20x - 28 = 9220x = 120x = 6#7
6x - 21 = 1/2(13x - 3 - 3x - 11)12x - 42 = 10x - 142x = 28x = 14#8
2x + 1 = 1/2(9x - 14 - 4x + 7)4x + 2 = 5x - 7x = 9#9
9x - 4 = 180 - 769x - 4 = 1049x = 108x = 12Ms, Garza opened an account with a deposit of $5,000. The account earned annual simple interest. She did not make any additional deposits or withdrawals. At the end of 4 years, the balance of the account was $6,500.
What is the annual interest rate on this account?
What are possible values for m and n? 3^m • 3^n = 3^-2
PLS HELPP THUS IS DUE IN LIKE A FEW MINS
Math work please help!!!
Answer:
your answer is 62°
I hope it's helps you
if the volume is 56 in the length is 4 in and the width is 7 in what is the height of the rectangular prism
Answer:
2
Step-by-step explanation:
lxwxh
7x4=28
56/28=2
help :( math for 8th
Answer:
She should add 10x to both sides
Step-by-step explanation:
Answer:
Step-by-step explanation:
x² - 10x - 2 = 0 {Add 2 to both sides}
+2 = +2
x² - 10x = 2
Now to find what to add both sides, divide the co-efficient of x by 2
10/2 = 5
Add 5² to both sides
x² - 10x + 25 = 5²
(x - 5)² = 5²
Take square root both sides,
x - 5 = ± 5
x- 5 = 5 ; x - 5 = -5
x = 5+5 ; x = -5 + 5
x = 10 ; x = 0
sarah buys a pair of shoes for $25 plus 8% tax. Hilary buys a shirt for $30mplus an 8% tax. What is the difference in the amount sarah and hillary paid, including tax?
Answer:
5.4
sarah = 27
Hilary = 32.4
Step-by-step explanation:
25(.08)+25=27
30(.08)+30= 32.4
32.4-27=5.4
the perimeter of square f is 2/3 less than the perimeter of square g . the side lengths of square f are each x meters , and the sides of square g are each 1/4(x-2/3) meters. which expression also represents the side lengths of square g A 1/4x - 1/6 B 1/4f - 2/3 C 1/4f - 3/7 D 1/4x - 11/12
Answer:
A. 1/4x - 1/6Step-by-step explanation:
1/4(x - 2/3) = 1/4x - 1/4(2/3) = 1/4x - 1/6Correct choice is A
Alternate exterior angles are congruent.
Which angle forms a pair of alternate
exterior angles with angle 1?
Answer:
Angle 8 forms a pair of alternate exterior angles with angle 1.
Samira is playing a game with the spinner shown.
What is the theoretical probability that the pointer will land in a section labeled with the letter J?
Answer:
2/10 or 1/5
Step-by-step explanation:
there are 10 equal 'slices'
then count those with a J
that would be 2
The sum of two number is 12 and there product is 27 find the number,let the number be X and Y
Answer:
the answer is 3 and 9
Step-by-step explanation:
(x for 3 and y for 9)
3 + 9 = 12 and 3×9= 27
-2, 6, -18, 54. What is the 12th term
find the volume of this cylinder.
give your answer to 1 decimal place.
Answer:
≈5089.3801 (5089.4)
Step-by-step explanation:
the formula is πr^2 x h
so, V=πr2h=π·92·20≈5089.3801
Answer:
Step-by-step explanation:
6089.9
PLEASE HELP! GIVING 20 POINTs
Answer:
Box A-10
Box B-15
Box C-20
i think
Answer:
Box A= x+5
Box B= x+5
Box C= x+5
Step-by-step explanation:
So i was literally over here trying to big brain this problem, literally stressing like "Oh my gosh why is this so difficult wth is going on rn?!" when all i had to do was find the equation(which has been sitting on my paper for the last 15 minutes) and plug it in.
-_-
Chile anyways so the equation to the problem is 3(x+5) =20. And all you have to do is split the (x+5) into three parts on the tape diagram and it would all equal 20.
Kevin earns $306.25 each week at his job. He is paid $8.75 per hour. How many hours does Kevin work each week?
Answer:
35 hours/week
Step-by-step explanation:
306.25/8.75 = 35
Help plz ahhh plz pretty plz
Answer: 158 as area and perimeter 62
Step-by-step explanation:
Find the value of the trigonometric ratio. Make sure to simplify the fraction if needed.
Answer:
3/4
Step-by-step explanation:
Tan A = opp/adj
Tan A = 30/40
= 3/4
Find the equation of a circle whose center is at (8, -3) and radius 6.
Answer:
[tex] { (x - 8)}^{2} + {(y + 3)}^{2} = 36[/tex]
An American football field is 20 yards longer than a soccer field. An American football field is 120 yards long. How long is a soccer field? Circle the correct answer.
Answer:
A soccer field is 100 Yards.
Step-by-step explanation:
120-100=100yds.
In the quadratic function y = ax^2 + bx + c, the ___________ affects the width of the parabola.
b
c
a
bx
Answer:
the answer is the a affects the width
Step-by-step explanation:
the answer is a not the choice A, the third one
(i hope this help)
if a square has breath of 13 cm what would be the lenght and perimeter ?
Answer:
The square will have length 13 cm only and it's perimeter will be:
4l
4×13cm
52cm
I hope it helps you