Answer:
4
Step-by-step explanation:
ln(e)=1 since ln= log_e
log(x^y)=y*log(x) so ln(e^4)=4*ln(4)=4*1=4
Answer:
D
Step-by-step explanation:
ln(e^4)
The 4 comes down in front of the natural log (ln). You get 4 ln(e)
The natural log of e (ln e ) is 1.
So the answer is 4 * 1 = 4
That may not be clear to you. We could try it another way.
e = 2.718281828
ln (2.718281828) = 1
ln(2.718281828)^4 = 4. The calculator gags until you get it right. You need the y^x key (or the x^y key of ^) It does come back with 4.
You have to monkey around with the calculator to get this to happen.
Write these sums as decimals:
2/100 + 3/1,000 =
1/10 + 4/10,000 =
Answer:
1 ) 0.023
2 ) 0.1004
Step-by-step explanation:
2 / 100 + 3 / 1000
= 0.02 + 0.003
= 0.020 + 0.003
= 0.023
1 / 10 + 4 / 10,000
= 0.1 + 0.0004
= 0.1000 + 0.0004
= 0.1004
what is the equation of the line that is parallel to the given line and passes through the point (-3,2)? no links.
Answer:
D) 4x +3y = -6
Step-by-step explanation:
paralell lines so m1 and m2 are equal
m = (3 +1 )/ (0 - 3 )
m = -4/ 3
y -2 = -4/3 (x +3)
y =-4x/3 -2
3y = -4x -6
4x +3y = -6
Select the correct answer from the drop-down menu.
Z1 = 4cis (pi/2) and Z2=3cis(3pi/2)
The product of Z1 and Z2 is
Answer:
z₁ × z₂ = 12·cis(2·π)
Step-by-step explanation:
z₁ = 4·cis(π/2), z₂ = 3·cis(3·π/2)
We have;
z₁ = 4·cis(π/2) = 4·(cos(π/2) + i·sin(π/2))
z₂ = 3·cis(3·π/2) = 3·(cos(3·π/2) + i·sin(3·π/2))
According to De Moivre's Theorem,
z₁ × z₂ = 4×3×(cos(π/2 + 3·π/2) + i·sin(π/2 + 3·π/2)) = 12·(cos(2·π) + i·sin(2·π))
∴ z₁ × z₂ = 12·cis(2·π)
Verificar que el volumen de ambas figuras es el mismo, para ello lleva a cabo el siguiente procedimiento:
a) Obtén una expresión para el volumen de la primera figura.
b) Transforma la expresión como una multiplicación de polinomios.
c) Identifica en tu resultado el área de la base prisma y su altura para concluir una igualdad.
Answer:
English for fast response
Full working out for this question please.
On Monday Farmer Tom collected 6 times as many eggs as Farmer Jack. On Tuesday, Farmer Tom sold 425 eggs. Farmer Jack then had three times as many eggs as Farmer Tom. How many eggs did farmer Jack have?
a.150
b.175
c.125
d.25
e.75
Answer:
75
Step-by-step explanation:
Let farmar jack collected x eggs, then farmar Tom collect 6x eggs
farmar Tom sold 425 eggs, so he left with 6x-425 eggs, now farmar jack has 3 times of what farmar Tom has, so
3(6x-425)=x
or, x=75
so farmar jack had 75 eggs
Answered by GAUTHMATH
James is studying the decline of a certain bird species. James’ observations are as follows: Year 1900 1950 1990 2005 Population (in thousands) 6012 72 2 .5 What is the best fit exponential decay equation for this decline? 5=6012(1-0.06)105 At what year did the population first drop below 1,000,000? If this trend continues, what will be the population in 2020?
6.17 greater or less 61 87/100
Answer:
Less
Step-by-step explanation:
[tex]6.17 < 6.187 [/tex]
What is
f(x)=(x-2)(x-6) in standard form
What is the perimeter of the right triangle with legs (2x + 1) feet and (4x - 4) feet and hypotenuse (4x - 1) feet? Give your answer in terms of x in the simplest form.
Answer:
10x-4 feet
Step-by-step explanation:
The perimeter is the amount of the sides together so add the three sides together
2x+1+4x-4+4x-1
Combine like terms
10x-4
(You can also factor out 2 but that would not be simplest --> 2(5x-2))
can anyone help me with this?
Answer:
Step-by-step explanation:
a + 45 + 70 = 180 45 becomes an interior angle by being opposite a given vertically opposite angle.
a + 115 = 180 Subtract 115 from both sides
a = 65
b + 68 + 65 = 180 A straight line is 180 degrees.
b + 133 = 180
b = 180 - 133
b = 47
In the triangle b + c + 100 = 180
b = 47
47 + c + 100 = 180
147 + c = 180
c = 33
If C is an exterior angle then C + 33 = 180
C = 147
You have to decide whether c is an interior angle ( in which it is 33) or an exterior angle (in which case it is 147).
Sin(a+b)=?
Cos(a+b)=
Answer:
sin (a+b)= sina*cosb - sinb*cosa
cos (a+b) = cosa*cosb + sina*sinb
Answer:
sin (A + B) = sin A cos B + cos A sin B
cos (A + B) = cos A cos B - sin A sin B
on:
Match each figure with the number of edges it has.
6
12
8
9
5
10
rectangular prism
rectangular pyramid
triangular pyramid
triangular prism
Answer:
Rectangular prism- 12 edges
Rectangular pyramid- 8 edges
Triangular pyramid- 6 edges
Triangular prism- 9 edges
I hope this helps!
help please area geometry !!
Answer:
37.5 cm^2
Step-by-step explanation:
The area of a parallelogram is
A = bh where b is the base and h is the height
A = 7.5 * 5
A = 37.5 cm^2
Answer:
A = 37.5 cm²
Step-by-step explanation:
The area of a parallelogram is calculated as
A = bh ( b is the base and h the perpendicular height )
Here b = 7.5 and h = 5 , then
A = 7.5 × 5 = 37.5 cm²
The point (-3,-1) is the midpoint of (x,y) and (5,4). Find the point (x,y).
Answer:
(-11, -6)
Step-by-step explanation:
Find the distance between the midpoint, (-3, -1) and (5, 4). This can be calculated by finding the difference between the x coordinates and y coordinates.
-3 - 5 = -8 (distance between x coordinates)
-1 - 4 = -5 (distance between y coordinates)
Find the point (x, y) by subtracting 8 from the midpoint's x value, and then subtracting 5 from the midpoint's y value.
-3 - 8 = -11
-1 - 5 = -6
So, the point (x, y) is (-11, -6)
Need help with this, don't understand it. we weren't taught how to do this
9514 1404 393
Answer:
A, C, D, E
Step-by-step explanation:
Any relation that is different from a straight line with a defined constant slope will be a relation that is either or both of ...
not a functionnot linear__
a) degree 3, not linear
b) a linear function
c) a vertical line with undefined slope, not a function
d) a curve opening downward, not linear
e) a line with a bend in the middle, not linear
f) a linear function
What is 12x12 inch Square and 3/4 inch pixels?
Theodore recently hired a contractor to do some necessary work. On the final bill, Theodore was charged a total of $715. $315 was listed for parts and the rest for labor. If the hourly rate for labor was $50, how many hours of labor was needed to complete the job?
Answer:
Hours of labor needed = 8 hour
Step-by-step explanation:
Given:
Amount total charged = $715
Listed amount = $315
Hourly rate for labor = $50
Find:
Hours of labor needed
Computation:
Total amount of labour = Amount total charged - Listed amount
Total amount of labour = 715 - 315
Total amount of labour = $400
Hours of labor needed = Total amount of labour / Hourly rate for labor
Hours of labor needed = 400 / 50
Hours of labor needed = 8 hour
What is the measure of angle x?
Answer:
93+52+x=180(sum of angels of a triangle)
145+x=180
x=180-145
x=35
Answer:
D. 35
Step-by-step explanation
Every triangle equals to 180 degrees
Add the 2 angles, 93 and 52 which equals 145
Now subtract 180 and 145
Therefore, you should get 35
Help me with my work plz.
Answer:
(√366 - 3)/24
Step-by-step explanation:
Given the following:
cos∝ = √3/8 and sinβ = √3/3
Sin(∝-β) = sin∝cosβ - cos∝sinβ
Get sin∝
Since cos∝ = √3/8
adj = √3
hyp = 8
opp = √8² - (√3)²
opp = √64 - 3
opp = √61
Recall that sin∝ = opp/hyp
sin∝ = √61/8
Get cosβ
Since sinβ = √3/3
opp = √3
hyp = 3
adj =√3² - (√3)²
adj = √9-3
adj = √6
Recall that cosβ = adj/hyp
cosβ = √6/3
Substitute the gotten values into the formula
Sin(∝-β) = sin∝cosβ - cos∝sinβ
Sin(∝-β) = ( √61/8)(√6/3)- (√3/8)(√3/3)
Sin(∝-β) = √366/24 - √9/24
Sin(∝-β) = (√366 - 3)/24
easy algebra question below first correct answer gets brainliest
Answer:
3
Step-by-step explanation:
Easy pythagorean theorum question.
The law states that "A squared plus B squared, equals C squared."
A and B are the two sides that border the 90 degree mark.
C is the hypotenuse or the longest side/diagonal.
Since we know C and A (I chose to use A because why not) we can fill in the equation with what we know
2^2 + ?^2 = [tex]\sqrt{13^{2} }[/tex]
So
4 + ?^2 = [tex]\sqrt{13^{2} }[/tex]
Since the 13 is already squared in side of a root, it stays as 13
4 + x^2 = 13
4 - 4 + x^2 = 13 - 4
x^2 = 9
x^2 root = root of 9
x = 3
The missing side is 3.
Or you could use an online calculator xD
express 0·4393939... as a fraction in its lowest term
Answer:
x= 439/999
Step-by-step explanation:
let x= 0.439439.... -> eq.1
1000x= 439.439439.... -> eq.2
eq.2-eq.1 => 1000-x= 439.439....-0.439439...
999x= 439
x= 439/999
Answer:
[tex]\frac{29}{66}[/tex]
Step-by-step explanation:
We require 2 equations with the repeating digits 39 placed after the decimal point.
let x = 0.43939... ( multiply both sides by 10 and 1000 )
10x = 4.3939... → (1)
1000x = 439.3939... → (2)
Subtract (1) from (2) eliminating the repeating digits
990x = 435 ( divide both sides by 990 )
x = [tex]\frac{435}{990}[/tex] = [tex]\frac{29}{66}[/tex] ← in simplest form
What is the sum of the reciprocals of all the factors of 24. Both 1 and 24 are
considered to be factors of 24.
A: 59/24
B: 5/2
C: 65/24
D: 53/24
E: 41/24
Answer:
B
Step-by-step explanation:
1+2+3+4+6+8+12+24=60
60/24=5/2
so,B is the answer
The sum of all the reciprocals of the factors of 24 is 5/2.
What is fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24.
The reciprocals of all the factors of 24 are;
1/1, 1/2, 1/3, 1/4, 1/6, 1/8, 1/12, 1/24
The sum of all the factors of 24:
1/1 + 1/2 + 1/3 + 1/4 + 1/6 + 1/8 + 1/12 + 1/24
Take LCM of the fractions:
1/1 + 1/2 + 1/3 + 1/4 + 1/6 + 1/8 + 1/12 + 1/24
= (24 + 12 + 8 + 6 + 4 + 3 + 2 + 1) / 24
1/1 + 1/2 + 1/3 + 1/4 + 1/6 + 1/8 + 1/12 + 1/24
= 60 / 24
Hence, the fraction:
1/1 + 1/2 + 1/3 + 1/4 + 1/6 + 1/8 + 1/12 + 1/24
= 5/2
Therefore, 5/2 is the sum of all the reciprocals of the factors of 24.
To learn more about the fractions;
brainly.com/question/10354322
#SPJ2
Find the length of side x in simplest radical form with a rational denominator.
459
4
95
Answer: 2 =
Submit Answer
HELP HELP HELP HELP PLSSSSSSS
Answer:
x= 2/2
Step-by-step explanation:
pls help i want it now
Answer:
18kg is the correct answer
You work at McDonalds making $9 per hour, this week you are scheduled to work
4:30pm - 10pm Wednesday - Saturday. How much will your gross pay be for the WEEK?
(you are on the clock the entire shift)
Answer:
$198
Step-by-step explanation:
Basically what I did was how long is 4:30 - 10:00 pm (5 hours and 30 minutes)
and multiplied that by your hourly rate. So 5 × 9 = 45, 9 ÷ 2 = 4.5, 45 + 4.5 = 49.5, 49.5 × 4 = 198. And since you don't clock out and this is your gross payment then that is the final answer
math is a bummer bro
Answer:
alr let's start
one clock 12 hrs => 360 °
so 1hr=> 30°
now visualise clock with struck 8
between 12 and 8 from smaller angle we get that there are 4 hrs in between so
4 × 30 = 120°
done Dana done done
Answer:
ANGLE=120°
SEE THE IMAGE FOR SOLUTION
Ruth is touring New York City with her family. They want to visit the Empire State Building, Central Park, and Times Square before their dinner reservations at 7:10 P.M. They want to spend 1 hour and 25 minutes at the Empire State Building, 2 hours and 5 minutes in Central Park, and 50 minutes in Times Square. What is the latest time Ruth's family can start their tour in order to make it to dinner on time?
Pls help :)
Answer:
The latest time Ruth's family can start their tour in order to make it to dinner on time is 2:50 P.M
Step-by-step
Change:
7h10= 430 mins
1 hour and 25 minutes= 85 mins
2 hours and 5 mintues= 125 mins
- Total time Ruth wants to do before his dinner reservations:
85+ 125+ 50= 260 (mins)
- The latest time Ruth's family can start their tour in order to make it to dinner on time:
430- 260= 170 (mins)
Change: 170 mins= 2 hours and 50 minutes
Good luck!
Determine the derivative of f(x) = -5x+3x from first principles first Calculate
Answer:
The derivative of the function f(x) = -5x+3x is ----> -2
Step-by-step explanation:
which value of -7(x2-6)+2y when x=2 and y=6
Answer:
Solution
= -7 (x2 -6) +2y
= -7 ( 2*2 - 6 ) + 2 * 6
= -7 ( 4 - 6) + 12
= -7 - 2 + 12
= - 9 + 12
= 3
I hope this help u :)
9)Using appropriate properties , find 7
5
×
5
12
−
3
12
×
7
5
−
1
15
Answer:
-20940
Step-by-step explanation:
5 x 512 - 312 x 75 - 115
According to BODMAS ,
2575 - 23400 - 115
= -2090
Answer:
[tex] \frac{1}{6} [/tex]
Step-by-step explanation:
[tex] \frac{7}{5} \times \frac{5}{12} - \frac{3}{12} \times \frac{7}{5} - \frac{1}{15} = \frac{7}{5} ( \frac{5}{12} - \frac{3}{12} ) - \frac{1}{15} = \frac{7}{5} \times \frac{1}{6} - \frac{1}{15} = \frac{7}{30} - \frac{2}{30} = \frac{5}{30} = \frac{1}{6} [/tex]
