Answer:
X=4
Step-by-step explanation:
Hope this helps!
Have an awesome week!
The solution is, the true solution to the equation below is x=4.
What is quotient and product rule of logarithm?Logarithm, the exponent or power to which a base must be raised to yield a given number. The quotient rule says that, the logarithm of a quotient is equal to a difference & the product rule says that logarithm of product is equal to the sum of logarithm.
Formula to be used,
log〖(ab)=loga+logb 〗
〖log(〗〖a/b)=loga-logb 〗
here, we have,
the given equation is,
㏑[tex]e^{ln( x)}[/tex] + ㏑[tex]e^{ln (x^{2}) }[/tex] = 2㏑8
or, ㏑x * ㏑ e + ㏑x² * ㏑e = 2㏑ 8
or, ㏑x + ㏑x² = 2㏑ 8
or, ㏑( x*x²) = ㏑ 8²
or, ㏑x³ = ㏑ 64
now, taking out the nature logarithm from both sides, we get,
x³ = 64
or, x = 4
Hence, The solution is, the true solution to the equation below is x=4.
To learn more on Property of Logarithm click:
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Mr. Tram was planning his trip from Dallas, TX to Detroit, MI. He knows that the total distance he needs to cover is 1620 km. He usually drives at a speed of 60 km per hour. If he is willing to drive up to 8 hours per day, how many days and how many hours will this trip take?
Answer:
3 days and 3 hours
Step-by-step explanation:
lets find how many total hours he will need to spend to get to Detroit
1620/60=27
Lets find how many days will it take Mr. Tram to get to Detroit if he is willing to drive only for 8 hours each day.
27/8=3 3/8
3 days and 3 hours
Answer:
3 days and 3 hours
1620/60=27 amount of hours it will take to get to Detroit
27/8=3 3/8 if he wants to drive for only 8 hrs each day
3 days and 3 hours is the final answers
:-)
An ice cream factory makes 250 quarts of ice cram In 5 hours. How many quarts could be made in 36 hours? What was that rate per day?
Answer:1900 in 36 hours and 1200 in 24 hours
Step-by-step explanation:
Find how many they can make in an a hour first. 250 divided by 5. That makes 50. Multiply that by the amount of hours
The volume of an ice cream cone is about
3
65.94 cm
If the radius of the cone is
3 cm, what is the height of the cone? Use
3.14 for
T.
Answer:
h = 7 cm
Step-by-step explanation:
Formula
[tex]V=\frac{1}{3}\pi r^{2} h\\ \\65,94cm^{3} =\frac{1}{3}*3,14*9*h\\ \\197,82=28,26*h\\\\h=197,82:28,26\\\\h=7~cm\\\\al3xis[/tex]
Which of the following math skills are useful in planning an effective budget?
Estimating
Organizing data
Finding perimeter and area
Finding averages
Data gathering
Answer:
All the above can be the math skills useful in planning an effective budget.
HELPPPPPP PLZ. Work must be shown for this problem. Solve for x. Round answers to the nearest hundredth (2 decimal places).
Answer:
About 238.07 miles
Step-by-step explanation:
The tangent of an angle is equivalent to the length of the opposite side divided by the length of the adjacent side. Therefore:
[tex]\tan 38=\dfrac{186}{x} \\\\x=\dfrac{186}{\tan 38}\approx 238.07[/tex]
Hope this helps!
So many pointssss help meeeee
Ashley is comparing three investment accounts offering different rates.
Option A: APR of 4.95% compounding monthly
Option B: APR of 4.85% compounding quarterly
Option C: APR of 4.895% compounding daily
She would like to earn at least a 5% annual yield. Which account(s) will give Ashley the yield
she wants?
A. Options A and B only
B. Option B only
C. Options A and C only
D. Option C only
If the volume of the figure below is 4,069.44ft3 find the missing dimension
Answer:
x = 9 ft
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h
We know the radius is x
4069.44 = pi x^2 16
Divide each side by 16 pi
4069.44 / 16 pi = x^2
Using 3.14 for pi
81 = x^2
Take the square root of each side
sqrt(81) = sqrt(x^2)
x = 9
What are the solutions of the equation (x – 3)2 + 2(x – 3) – 8 = 0? Use u substitution to solve.
Answer:
u=5
Step-by-step explanation:
(u-3)2+2(u-3)-8=0
2u-6+2u-6-8=0
4u-20=0
4u=20
u=5
Answer:
b on edge2020
Step-by-step explanation:
Answer3.9
3. Elizabeth buys 2 drinks. She has
a coupon for $0.75 off. How much
must Elizabeth pay?
Answer:
How much do the drinks cost? Add them together and take away .75
Step-by-step explanation:
PLEASE HELP ME JUST 1 QUESTION!
I IWLL GIVE 5 STARS/BRAINLIEST/THANKS
Answer: The answer is 2/1 or 2
Step-by-step explanation:
This is because you take one point on the line and then go up how many spaces to the next point on the line.
Please help with this
Answer:
C
Step-by-step explanation:
Which of the following options have the same value as 60% of 94?
So the right options are:
Option Boption COption EPlease see the attached picture for full solution
Hope it helps
Good luck on your assignment
Enter the equation of the circle described below.
Center (0,4), radius V3
Answer:
The equation is:
[tex](x - 0)^2 + (y - 4)^2 = 3[/tex]
Step-by-step explanation:
The equation of a circle:
[tex](x - h)^2 + (y - k)^2 = r^2[/tex]
(where [tex](h, k)[/tex] represents the center and [tex]r[/tex] the radius).
-Use the given center and radius for the equation of a circle:
[tex](x - 0)^2 + (y - 4)^2 = \sqrt{3} ^2[/tex]
After, you have the equation of a circle written, simplify the radius by the exponent [tex]2[/tex]:
[tex](x - 0)^2 + (y - 4)^2 = 3[/tex]
So now, you have found the equation of a circle.
Answer:
(x)^2 + (y - 4)^2 = 3
(it could also be (x - 0)^2 + (y - 4)^2 = 3 but you can drop the zero by the x and just have it like: (x)^2 + (y - 4)^2 = 3)
A standard six sided dice is rolled. What is te probability of rolling a 3 OR a 5
A) 1/12
B) 1/3
C) 1/36
D) 1/24
Answer:
1/3
Step-by-step explanation:
Rolling a die has the possible outcomes of 1,2,3,4,5,6 = 6 total
P(3 or 5) = number of 3 or 5's / total
= 2/6
= 1/3
Answer:
Answer:
1/36
Step-by-step explanation:
Getting a 3 is 1/6
Getting a 5 is 1/6
Multiply those and get 1/36
???????????????????? thanks for answering it
Answer:
A
Step-by-step explanation:
Because the x's domain has whole numbers from 0-10
Answer:
Domain is whole numbers from 0 to 10
Step-by-step explanation:
The domain is the inputs to the function
Since the inputs are discrete ( dots)
Domain is whole numbers from 0 to 10
What are the key features of the equation y = (x + 12)(x + 6)?
Which is the correct answer:
A. ) The x-intercepts are (–12, 0) and (–6, 0). The y-intercept is (0, 72). The vertex is an absolute minimum, (–9, –9).
B.) The x-intercepts are (–12, 0) and (–6, 0). The y-intercept is (0, 6). The vertex is an absolute minimum, (–9, –9).
C.) The x-intercepts are (–12, 0) and (–6, 0). The y-intercept is (0, 72). The vertex is an absolute maximum, (–9, –9).
D.) The x-intercepts are (12, 0) and (6, 0). The y-intercept is (0, 72). The vertex is an absolute minimum, (–9, –9).
Answer:
The answer is option A
The x-intercepts are (–12, 0) and (–6, 0). The y-intercept is (0, 72). The vertex is an absolute minimum, (–9, –9).
Hope this helps.
Given the points C(5, -1) and D(-5, 3), find the coordinates of the point P on directed line segment CD that partitions segment CD such that the ratio of CP to PD is 1:3
Answer:
(2.5 , 0)
Step-by-step explanation:
Given points C and D. the coordinates of point P that partitions CD such that CP:PD=m:n can be calculated using the formula:
[tex]x=(\dfrac{m}{m+n})(x_2-x_1)+x_1$ , y=(\dfrac{m}{m+n})(y_2-y_1)+y_1\\\\$Now, (x_1,y_1)=C(5,-1), (x_2,y_2)=D(-5,3),$ m:n=1:3\\Therefore:\\x=(\dfrac{1}{1+3})(-5-5)+5\\=(\dfrac{1}{4})(-10)+5\\=\dfrac{-10}{4}+5\\\\x=2.5[/tex]
Similarly:
[tex]y=(\dfrac{1}{1+3})(3-(-1))+(-1)\\=(\dfrac{1}{4})(4)-1\\=1-1\\y=0[/tex]
Therefore, the coordinates of P is (2.5,0)
Calculate the sum 2/9+5/9
Answer:
7/9
Step-by-step explanation:
since they have a common denominator, you could just add 2 and five together to get 7.
Answer:
[tex]\frac{7}{9}[/tex]Step-by-step explanation:
[tex]\frac{2}{9}+\frac{5}{9}[/tex]
[tex]\frac{2+5}{9}[/tex] When you have the same denominator you just have to add the numbers above
= [tex]\frac{7}{9}[/tex] This is the answer.
I hope this help you :)
The distance between port M and port N is 162m. A ship left port M with a speed of 45 mph. In 45 minutes another ship left port N and went towards the first ship with a speed of 36 mph. How long after the departure of the first ship will the two ships meet?
Answer:
900 min = 15 hours
Step-by-step explanation:
when we convert the velocities of the ships into miles/ min we get
45mph = 45m/60min = 0.75m/min
36mph = 36m/60min = 0.6m/min
The equations determining the distances of the ships from the port M (set at x=0) are
D1 = 0.75t (for 45mph ship)
D2 = 162 + 0.6(t-45) (for 36mph ship)
The solution to these equation lie at t= 900 minutes; therefore the two ships will meet 900 minutes after the departure of the first ship.
Need help with a system of equations
Answer:
[tex] \boxed{x - y = -2\sqrt{7}} [/tex]
Given:
[tex]x + y = 4 \\ \\ {x}^{2} + {y}^{2} = 22 \\ \\ {x}^{4} = {y}^{4} - 176 \sqrt{7} [/tex]
Step-by-step explanation:
[tex] = > {x}^{4} = {y}^{4} - 176 \sqrt{7} \\ \\ = > {x}^{4} - {y}^{4} = - 176 \sqrt{7} \\ \\ = > {( {x}^{2}) }^{2} - { ({y}^{2}) }^{2} = - 176 \sqrt{7} \\ \\ = > ( {x}^{2} + {y}^{2} )( {x}^{2} - {y}^{2} ) = - 176 \sqrt{7} \\ \\ = > ( {x}^{2} + {y}^{2}) (x + y)(x - y) = - 176 \sqrt{?} \\ \\ = > 22 \times 4(x - y) = - 176 \sqrt{7} \\ \\ = > 88(x - y) = - 176 \sqrt{7} \\ \\ = > x - y = - \frac{176 \sqrt{7} }{88} \\ \\ = > x - y = - 2 \sqrt{7} [/tex]
Identity used:
[tex]{x}^{2} - {y}^{2} = (x + y)(x - y)[/tex]
Answer:
-2[tex]\sqrt{7}[/tex]
Step-by-step explanation:
[tex]x^{4} - y^{4} = -176\sqrt{7} \\(x^{2} + y^{2})(x^{2} - y^{2} ) = -176\sqrt{7} \\(x^{2} - y^{2} )= \frac{-176\sqrt{7}}{22} \\(x + y)(x - y) = -8\sqrt{7}\\ x - y = \frac{-8\sqrt{7}}{4} = -2\sqrt{7}[/tex]
Below is a histogram of the number of points the LA Rams scored each game last season. Based on the data, what is the probability the Rams scored at least 20 points?
A)31.25%
B)35.7%
C)50%
D)62.5%
E)66.7%
Answer:
The probability the Rams scored at least 20 points is 62.5%
Step-by-step explanation:
Data form histogram:
No. of points No. of games
0-9 2
10-19 4
20-29 5
30-39 3
40-49 2
Now we are supposed to find the probability the Rams scored at least 20 points
So, we are supposed to find the probability the Rams scored 20 or more than 20
So, Total no. of games = 2+4+5+3+2=16
No. of games where score is 20 or more than 20 =5+3+2 = 10
So, the probability the Rams scored at least 20 points = [tex]\frac{10}{16}=0.625[/tex]
So, the probability the Rams scored at least 20 points is 62.5%
Hence Option D is true .
Help MATH find the volume?
Answer:
4914 yd³
Step-by-step explanation:
Volume= base*height
Base= 1/2*18*√18²-9²= 140.30 yd²
Height= 35 yd
V=140.40*35= 4914 yd³
Else made enough strawberry jam to fill 4 1/3 jars. If she made 3 times as much apricot jam as strawberry jam, how many jars of jam did she make altogether?
Answer:
17 1/3
Step-by-step explanation:
Total number of Jar she make is [tex]17\frac{1}{3}[/tex] jar
Numbers based sums:Given that;
Number of strawberry jam jar = [tex]4\frac{1}{3}[/tex] jars
Number of apricot jam jar = 3(Number of strawberry jam jar)
Find:
Total number of Jar she make
Computation:
Given problem is Sum base problem.
Number of apricot jam jar = 3(Number of strawberry jam jar)
Number of apricot jam jar = 3([tex]4\frac{1}{3}[/tex])
Number of apricot jam jar = 3(13/3)
Number of apricot jam jar = 13 jar
Total number of Jar she make = (13/3) + 13
Total number of Jar she make = [tex]17\frac{1}{3}[/tex] jar
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HELP ASAP I WILL GUVE YOU THE POINTS !!!!
This figure is made up of a
rectangle and parallelogram.
What is the area of this figure?
Enter your answer in the box. Do
not round any sides.
Answer: 52
Step-by-step explanation:
Find the Volume of the Pyramid
Answer:
75600
Step-by-step explanation:
Please help . thank u
The table below shows the survey results for six randomly selected lions from five different zoos.
Gender No. of Offspring Age, years
This data set contains
three variables, two of which are categorical
Othree variables, all of which are categorical
Othree variables, none of which are categorical
three variables, one of which is categorical
Answer:
Correct option: fourth one
Step-by-step explanation:
We can see in the table that we have three variables: the gender of the lion, the number of offspring and the age in years.
From these three variables, the gender is a categorical variable, because it can only assume a finite number of values (in this case, 2 values: M or F)
The other two variables (no. of offspring and age) can theoretically assume an infinite number of values (any non-negative integer number).
So the correct option is the fourth one: three variables, and one of them is categorical.
Find the surface area of the following figure.
164.7 in2
179.6 in2
246.8 in2
203.5 in2
Answer:
164.7 in2
Step-by-step explanation:
Solve for surface area
Shape: Pyramid
Formula: L*W*H
A≈167.13 round to the nearest ten = 164.7 in2
The correct answer to this question is 164.7 in2
So A is the correct answer
Hope this helps.
On a coordinate plane, an exponential function has a horizontal asymptote of y = 0. The function curves up into the first quadrant. It goes through (0, 3), (0.5, 5), (1, 10), (1.5, 23), (2, 50). The given graph represents the function f(x) = 2(5)x. How will the appearance of the graph change if the a value in the function is decreased, but remains greater than 0? The graph will increase at a slower rate. The graph will show a decreasing, rather than increasing, function. The graph will show an initial value that is lower on the y-axis. The graph will increase at a constant additive rate, rather than a multiplicative rate.
Answer:
The graph will show an initial value that is lower on the y-axis
Step-by-step explanation:
The exponential function has the next general form:
[tex]y = ab^x [/tex]
where a is the initial amount and b is the base.
If the a value in the function is decreased, but remains greater than 0, the y-intercept of the curve decrease.
Answer: The graph will show an initial value that is lower on the y-axis
Step-by-step explanation: i got it right on edge!
I need help on this.
Answer:
Step-by-step explanation:
Answer:
18 cubic units
Step-by-step explanation:
There is 12 cubes on the bottom layer and 6 on top layer. Adding those two number together, give you a total 18 cubic units.