First of all, let us start by doing simple changes:
19+2lnx=252lnx=25−92nx=6----------------------->>>>> we applied simple side by side manipulations, now we will do the division by 2 in both the sides, it will end up this:
lnx=3--------------->>>>>> now we will use the inverse of ln, which is eelnx=e3x=e3 ----->>> now you should use a calculator or the problem may have this as solution depending on the assignment guidelines.
The approximate solution of this equation is equivalent to [tex]20.09[/tex].
What is logarithms?
For [tex]$x > 0$[/tex] and [tex]$b > 0$[/tex], $b\ne 1$, [tex]$y={{\log }_{b}}x$[/tex] is equivalent to [tex]${{b}^{y}}$[/tex] is equal to [tex]$x$[/tex].
The function [tex]$f\left( x \right)$[/tex] is equal to [tex]${{\log }_{b}}x$[/tex] is the logarithmic function with base [tex]$b$[/tex].
The given equation is,
[tex]$19+2\ln x=25$[/tex]
Subtract [tex]19[/tex] from both sides.
[tex]$19+2\ln \left( x \right)-19=25-19$[/tex]
Simplify it.
[tex]$2\ln \left( x \right)=6$[/tex]
Divide both sides by [tex]$2$[/tex].
[tex]$\frac{2\ln \left( x \right)}{2}=\frac{6}{2}$[/tex]
Simplify it.
[tex]$\therefore \ln \left( x \right)=3$[/tex]
Apply log rules [tex]$\log ab=N$[/tex] , [tex]${{a}^{N}}$[/tex] is equal to [tex]$b$[/tex].
[tex]$\therefore x={{e}^{3}}$[/tex]
The value of [tex]$e\approx 2.718$[/tex].
[tex]$x\approx {{\left( 2.718 \right)}^{3}}$[/tex]
[tex]$x\approx 20.09$[/tex]
Hence, the solution is equivalent to [tex]20.09[/tex].
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Name the bases of the prism
Answer:
D
Step-by-step explanation:
im 79% sure
Find the inverse for this relation: { (1, -3), (-2, 3), (5, 1), (6, 4) }
Answer:
(-3,1), (3,-2), (1,5), (4,6)
Step-by-step explanation:
For finding and inverse of a relationship, you simply just need to swap the x and y values. So the x will go into the y value and the y value will go into the x value.
The inverse relation for the given relation is {(-3, 1), (3, -2), (5, 1), (6, 4)}.
What is relation?A relation in mathematics can be defined as a set of a pair of elements belonging to each set. It is also called as a mapping from one set to the other.
The given relation is { (1, -3), (-2, 3), (5, 1), (6, 4) }.
The domain of the given relation is set of all the first elements of each pair and the range is the set of all the second elements of each pair.
The range and domain set can be written as,
Domain = {1 , -2, 5, 6 }
Range = {-3, 3, 1, 4}
In order to find the inverse relation the domain and range sets sre interchanged.
Thus, the inverse relation for the given relation can be written as,
{(-3, 1), (3, -2), (5, 1), (6, 4)} .
Hence, the inverse relation is given as {(-3, 1), (3, -2), (5, 1), (6, 4)}.
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solve nt+6-xt=s for t
Answer:
[tex]t=\frac{s-6}{n-x}[/tex]
Step-by-step explanation:
[tex]nt+6-xt=s[/tex]
[tex]\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}[/tex]
[tex]nt+6-xt-6=s-6[/tex]
[tex]Simplify[/tex]
[tex]nt-xt=s-6[/tex]
[tex]nt-xt[/tex]
[tex]=t\left(n-x\right)[/tex]
[tex]t\left(n-x\right)=s-6[/tex]
[tex]\frac{t\left(n-x\right)}{n-x}=\frac{s}{n-x}-\frac{6}{n-x};\quad \:x\ne \:n[/tex]
[tex]t=\frac{s-6}{n-x}[/tex]
Therefor the value of t after arrangement is t = (s-6)/(n-x)
What is Mathematical function ?
Function is defined as the expression or relation between any given two variables such as x and y and there must be an independent variable and dependent variable.
In other words the function represents the graph between x and y that is for each value of x there exist one value of y but here there is no restriction in values of y that is y can have infinity values.
Given equation is nt+6-xt=s
Now solving for t by separately variables and constant :
nt+6-xt=s
t(n-x) = s-6
t = (s-6)/(n-x)
Therefor the value of t after arrangement is t = (s-6)/(n-x)
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Your friend, Broseph, recently graduated from the University of Bros. During his last semester he passed "Introduction to Brotistics with an Emphasis on Tinder Applications". His final project required that he use the Binomial Distribution to calculate the probability of going on a date with more than half of his next 20 Tinder matches.
Broseph found that he had a 64% chance of going on a date with any given Tinder match from historical data.
Broseph should use the ____________ to calculate the probability. Since he is calculating the probability of going on dates with more than half of his next 20 matches--the number of successes is ________ , n = ________ , and p = ______ .
Broseph has a __________ chance of going on dates with at least half of his next 20 Tinder matches. Round the answer to nearest tenth as a percentage i.e. 14.2%.
Answer:
I need to know the net percentage to to calculate the quadratic function
Step-by-step explanation:
Mr.martin bought a microwave that was originally priced at 255$. He recieved a 30% discount. What is the sale price of the microwave?
Answer:
178.5$
Step-by-step explanation:
which statements about the trend line in item 3 are true? select all that apply.
a. the slope is the cost of one book
b. the slope is the cost if Hana's lunch
c. the y-intercept is the cost of one book
d. the y-intercept is the most if Hana's lunch
Answer: A and D
Step-by-step explanation:
I took the test online and the answer is A and D the y intercept is the cost of her lunch and the slope is the cost of one book
The true statements are the slope is the cost of one book and the y-intercept is the cost if Hana's lunch.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
as, from the graph the slope tells us about the cost of one book.
Now, From the graph if we talk about y- axis then we can see that the y- axis tells us about cost if Hana's lunch.
Hence, the true statements are the slope is the cost of one book and the y-intercept is the cost if Hana's lunch.
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Jordan signed up for the Annual Cross Florida bike ride which is a 170 mile bike ride. After weeks of training he rides at an average of 15 miles per hour. What is x in real world context?
Answer: 11.3 hours
Step-by-step explanation:
Before this question is another asking for an equation depicting this with Jordan's progress in miles (y) after a number of hours (x).
That would be y = 15x
x in the real world context would be the number of hours it would take for Jordan to finish the 170 mile bike race.
To solve this make y to be 170 and solve for x.
170 = 15x
x = 170/15
x = 11.3 hours
The total price of apples (y) at an orchard can be calculated with the equation y=1.25x+5, where x is the number of pounds of apples picked. What does the slope represent?
Given:
The total price of apples (y) at an orchard can be calculated with the equation
[tex]y=1.25x+5[/tex]
where, x is the number of pounds of apples picked.
To find:
The interpretation of slope for the given situation.
Solution:
The slope intercept form is
[tex]y=mx+b[/tex] ...(i)
where, m is slope and b is y-intercept.
We have,
[tex]y=1.25x+5[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]m=1.25, b=5[/tex]
Slope = 1.25.
We know that, y is total price of x pounds of apples picked and slope is change in y with respect to x.
Therefore, the slope of the given equation is 1.25 and it means the price increased by 1.25 for each additional pounds of apples.
Science, technology, engineering and mathematics or STEM education was an initiative developed by the________________.
A. National Science Foundation
B.National Scholar Foundation
C. National Schools Foundation
D. National Secondary Foundation
Answer:
A
Step-by-step explanation:
look it up on google
Answer:
d
Step-by-step explanation:
What is the increasing interval?
What is the decreasing interval?
What is the maximum?
What is the minimum?
What is the axis of symmetry?
Please help me
Answer:
The increasing interval is from [-5,-2]
The decreasing interval is from [-2,1]
The axis of symmetry is x=-2
there in no minimum
the maximum co - ordinate is (-2,4)
Answer:The increasing interval is from [-5,-2]
The decreasing interval is from [-2,1]
The axis of symmetry is x=-2
there in no minimum
the maximum co - ordinate is (-2,4)
Step-by-step explanation:
(1.8 x 10°) (6.7 x 1012)
Answer:
did you type that correctly?
Step-by-step explanation:
(BRANLIEST IF CORRECT)Your balance sheet shows $6,400 worth inventory in hair products. Items are recorded in inventory at cost, and the average cost per unit is $2.43. How many untidy of hair products do you have?
A) 2,467
B) 2,510
C)2,576
D)2,634
Answer:
D
Step-by-step explanation:
Divide 6,400 by 2.43
Answer:
D) 2,634
Step-by-step explanation:
PLEASE HELP IT IS SUPER IMPORTANT
Expand and simplify (x-6)^2
Answer:
x^2 -12x +36
Step-by-step explanation:
Answer:
x²-12x+36
Step-by-step explanation:
(x-6)²
(x-6)(x-6)
x²-12x+36
Drag and drop the steps to show the process for finding the inverse of the function below.
h(x)=x−43
Answer
h^-1(x)= x+43
Explanation
h(x)=x-43
Use substitution
y=x-43
Interchange the variables
x=y-43
Swap the sides
y-43=x
Move the constant to the right
y=x+43
Use substitution
h^-1(x)=x+43
At a farm, four employees harvest 48 pounds of food over a certain number of hours. Each employee works the number of hours shown.
Answer:
The number of pounds of food harvested by each employee is proportional to the number of hours worked
Step-by-step explanation:
Need Answer ASAP Number Of Cakes Sugar Flour Vanilla LOOK AT THE PIC
I'm pretty sure this is the right answer..
write 6.1 as a mixed number and as an improper fraction. Do not try to simplify your answer
Answer:
6 1/10 mixed 61/10 improper
Step-by-step explanation:
A 27- inch long ribbon was cut into 4 equal lengths. How long was each piece of ribbon?
Answer:
6.75 I think
Step-by-step explanation:
Just do 27 divided by 4
Help!!!!
Given log73≈0.5646 and log716≈1.4248, evaluate the expressions.
Answer:
a) 0.356
b) 1.1397
Step-by-step explanation:
a) log₇2
log(2) / log(7)
0.356
b) log₇ (¹⁴⁷/₁₆)
log (¹⁴⁷/₁₆)
log (7)
1.1397
slope = 6/5 , y- intercept = -3 write the slope-intercept form of the equation
Answer:
y=6/5x-3
Step-by-step explanation:
Just remember this formula
y=mx+b
So the m is out slope and the b is our y-intercept
Just subtitute m to 6/5 and y-intercept to -3
I really hope you understood
Liliana wants to determine the height of an enlarged photo that she plans to frame. The original photo was 11 inches wide by 14 inches high. The new photo will be 132 inches wide. What will the new height be? Round to the nearest inch if necessary.
104 inches
146 inches
154 inches
168 inches plzzzz help
Answer:
168 is the correct one hope it helped
Step-by-step explanation:
Help me pls
Jehsksvdksbshzjdhs
Answer:
5
Step-by-step explanation:
formula is y=kx where k is constant of variation
then k=15/3=5
Monica uso 1,2 litros de leche para hacer 12 flanes iguales ¿cuantos litros de leche necesitaria para hacer 60 flanes? ¿cuantos flanes haria con 0,5 decalitros de leche?
Answer:
1. 6 L de leche.
2. 50 flanes.
Step-by-step explanation:
1. Determinación del volumen (en litros) necesario para realizar 60 natillas.
De la pregunta dada arriba,
Monica usó 1.2 L de leche para hacer 12 natillas iguales.
Por lo tanto, usará xL de leche para hacer 60 natillas, es decir
xL de leche = (1.2 × 60) / 12
xL de leche = 6
Por lo tanto, necesitará 6 L de leche para hacer 60 natillas.
2. Determinación del número de flanes (natillas) que se pueden producir utilizando 0,5 decalitros de leche.
Empezaremos por convertir 0,5 decalitros (deca) a litro (L).
Esto se puede obtener de la siguiente manera:
1 deca = 10 L
Por lo tanto,
0.5 deca = 0.5 deca × 10 L / 1 deca
0,5 deca = 5 L
Por tanto, 0,5 deca equivale a 5 L.
Finalmente, determinaremos el número de flanes (natillas) que se pueden obtener a partir de 0.5 deca (es decir, 5 L) como se muestra a continuación:
Monica usó 1.2 L de leche para hacer 12 natillas iguales.
Por lo tanto, usará 5 L de leche para producir = (5 × 12) /1.2 = 50 natillas
Por lo tanto, puede hacer 50 flanes (natillas) usando 0.5 deca (es decir, 5 L).
Brenda won 59 lollipops playing hoops at
the county fair. At school she gave two to
every student in her math class. She only
has 1 remaining. How many students are
in her class?
are 3 6 9 12 15 and 18 a related function
Two hot air balloons are traveling along the same path away from the town, beginning from different locations at the same time. Henry's balloon begins 25 miles from the town and is 37 miles from the town after 2 hours. The distance of Tasha's balloon from the town is represented by the function y= 7x + 15
Which ballon was farther from the town at the beginning, and which traveled more quickly?
A. Henry's balloon was farther from the town at the beginning, but Tasha's balloon traveled more quickly.
B. Henry's balloon was farther from the town at the beginning, and it traveled more quickly.
C. Tasha's ballon was farther from the town at the beginning, but Henry's balloon traveled more quickly.
D. Tasha's balloon was farther from the town at the beginning, but it traveled more quickly.
Please help!!
Answer:
A
Step-by-step explanation:
the weight of 6 eggs is shown. identify the constant of proportionality of total weight to number of eggs. the weight of 6 eggs is 288 g.
Answer:
The weight of eggs is shown. Identify the constant of proportionality of total weight to number of eggs.
A row of 6 eggs is labeled "The weight of 6 eggs is 270 grams."
The weight of 6 eggs is 270 g.
Step-by-step explanation:
Answer:hi
Step-by-step explanation:
hi
Divide 540 in ratio 2:1
Answer:
180:360
Step-by-step explanation:
so its basically saying make it 1/3 and 2/3 so start with dividing it by 3 to get 180 thats your first answer for 1/3 to get 2/3 simply double that and you have 360 so the answer is 180:360
-6 = 2/3r solve for r
Answer:
r=9
Step-by-step explanation:
help me
I need someone.
plsss
Answer:
it would be an arrow facing up