Answer:ln is called the natural log, or log to the base e. ln can also be written as
So, we can write the given expression as
The property of logs is:
This mean if the number a is raised to log whose base is the same as the number a itself, then the answer will be equal to the argument of the log which is x.
In the given case, the number e and the base of log are the same. So the answer of the expression will be the argument of log which is 6.
so, we can write
Thus, the correct answer is option D
Step-by-step explanation:
Please help!! I’m having lots of trouble
Select the graph of the solution. Click until the correct graph appears. 3x + 1 < 7
Answer:
x < 2
Step-by-step explanation:
Let's actually solve the given inequality 3x + 1 < 7. First we want to combine the constants into one: 3x < 6. Solving for x, we get x < 2.
The graph you have chosen as your answer is correct. x does not equal 2, but rather is less than 2, as the given inequality states. Since x is less than 2, we start at the (open) circle at 2 and move to the left.
AWARDING 30 POINTS
(i will report you if you answer it incorrectly on purpose)
A dolphin swims 665,280 feet in 3 hours. Use the formula d = rt, where d represents distance, rrepresents rate, and t represents time to answer the
following questions. Show your work
Part A: Rearrange the distance formula, d = rt, to solve for rate. (2 points)
Part B: Find the dolphin's rate in feet per hour. (3 points)
Part C: Find the dolphin's rate in miles per hour. (3 points)
Part D: Which unit, feet, or miles, makes more sense to use in this scenario, and why?
Answer:
A) r=d/t
B) 221,760 feet per hour
C) 42 miles per hour
D) in this scenario feet per mile makes more sense since the distance is listed in feet.
Step-by-step explanation:
A) you solve for r by divided both sides of the equation by (t)time
B) you take your formula r=d/t and substitute the values of (d) and (t) with 665,280 feet and 3 hours.
C) convert feet to miles by dividing the given amount of feet by 5280 since there are 5,280 feet in 1 mile
D) use feet to make the calculations easier and to avoid making a mistake in converting feet to miles
Find the slope of the line. Describe how one variable changes in relation to the other. How did you find this?
A, 2/3; the amount of water decreases by 2 gallons every 3 minutes.
B, - 2/3; the amount of water decreases by 2 gallons every 3 minutes.
C, - 3/2; the amount of water decreases by 3 gallons every 2 minutes.
D, -1; the amount of water decreases by 1 gallon per minute.
According to the given information, the slope of the line is -1.
What is slope ?In mathematics, slope is a measure of how steep a line is, or how much y (vertical) changes for a given x (horizontal) change. It is represented by the letter "m" and is calculated as the change in y divided by the change in x, or rise over run. The slope can be positive, negative, zero, or undefined.
According to given information :The answer is D, -1; the amount of water decreases by 1 gallon per minute.
To find the slope of the line, we need to use the slope formula:
slope = (change in y)/(change in x)
In this case, the change in y represents the change in the amount of water, and the change in x represents the change in time.
Option A says that the slope is 2/3, which means that for every 3 minutes, the amount of water decreases by 2 gallons. This is incorrect because as time increases, the amount of water should decrease, so the slope should be negative.
Option B says that the slope is -2/3, which means that for every 3 minutes, the amount of water decreases by 2 gallons. This is the same as option A but with a negative slope, which is correct because the amount of water decreases over time.
Option C says that the slope is -3/2, which means that for every 2 minutes, the amount of water decreases by 3 gallons. This is incorrect because the amount of water should decrease by the same amount every minute.
Option D says that the slope is -1, which means that for every minute, the amount of water decreases by 1 gallon. This is the correct answer because it describes a constant rate of change in the amount of water over time.
Therefore, according to the given information, the slope of the line is -1.
To know more about slope visit :
https://brainly.com/question/16949303
#SPJ1
The point (12, 5) is on the terminal side of angle θ.
cos θ =
cot θ =
Step-by-step explanation:
The point (12, 5)
x = 12, y = 5
=> r =√12²+5² =√144+25= √169=13
so, cos θ = x/r = 12/13 and
cot θ = x/y = 12/5
Find the next three terms of the sequence 3,9,27,81,...
Answer:
243, 729, 2187
Step-by-step explanation:
Multiply the previous with 3
It's Geometric sequence
Brainliest please~
The probability can be written as:
Fraction
Decimal
Percent
All of the above
In a physical education period, students are arranged in rows to form a perfect square to practice a display for the sports day. From the total number of 8046 students, 125 students were not well and others formed a perfect square to participate in the display. Find the number of students in each row.
Step-by-step explanation:
I don't know how long answers
PLEASE HELP ME I DONT GET IT
Answer:
A) y = 2x
Step-by-step explanation:
PLEASE HELP ASAP!!!!!!!
Is the function ƒ(x) = (9/10)^x an exponential function? If so, identify the base. If not, why not?
Answer:yes, base = 9. No, the exponent is not variable. yes, base =9/10.
Step-by-step explanation:
A rectangular plot of land is 40 feet long and 25 feet wide. How long is a walkway along the diagonal?
Answer:
25 ft
Step-by-step explanation:
Which of the following is arranged in ascending order? *
7/10, 6/4, 4/5, 5/2
6/4, 5/2, 4/5, 7/10
7/10, 4/5, 6/4, 5/2
6/4, 4/5, 7/10, 5/2
Answer: 7/10, 4/5, 6/4, 5/2
Ascending means that the values are getting larger from left to right.
0.7, 0.8, 1.5, 2.5
The range of the data: 6, 14, 20, 16, 6, 5, 4, 18, 25, 15, and 5 is
Answer:
the range is 21.( range=highest value-lowest value)
Which statement shows how two polynomials 3x + 6 and 5x2 - 4x demonstrate the closure property when multiplied?
O 15x3 + 18x? - 24x may or may not be a polynomial
O 15x3 + 18x2 - 24x is a polynomial
O 15x + 42x2 – 24x may or may not be a polynomial
15x3 + 42x2 - 24x is a polynomial
Here you go, rockstar
B) 15x3 + 18x2 − 24x is a polynomial
✨keep going!✨
find the area of 72 by 108 inches in square yards? pls show work
Step-by-step explanation:
72 times 108 = 7776 sq inches
to convert inches to yds divide by 36
7776/ 36 = 216 sq yds
Answer: 6 yards^2
Step-by-step explanation:
first lets find the area of the space in inches and then convert the total to square yards :)
area = length * width
A = 108 * 72 = 7776 inches^2
now lets convert it
there are 1296 inches in a yard, so we divide 7776 by 1296 to find the number of square yards
7776 / 1296 = 6
so the area of the space is 6 yards^2
On a recent trip to New York City, Mr. Kelly went to the top of the Empire State Building. He knows that the Empire State building is 1250 feet high, but he wants to figure out how tall the building across the street is (its 100 feet across the street). He measures the angle of depression from the Empire State Building to the roof of the adjacent building to be 23°. How tall is the building across the street from the Empire State Building?
Answer:
teri maa ki chut me mera land madarchod sale gand marunga teri
Use the Law of Sines. Find m2c to the nearest tenth.
с
35
30°
B
58
A
a. 124.0°
b. 162.4°
C.
56.0°
d. 17.6°
Answer:
Step-by-step explanation:
Set up the Law of Sines as follows:
[tex]\frac{sinC}{58}=\frac{sin30}{35}[/tex] and
[tex]sinC=\frac{58sin30}{35}[/tex] and
sinC = .8285714286 so
C = 56.0°
What is the surface area of the right cone below?
12&3 A P E X
Answer:
A
Step-by-step explanation:
A=πr(r+h2+r2)=π·3·(3+11.622+32)≈141.38125
What is the slope of the line whose equation is y-4=5/2(x-2)?
Answer:
5/2
Step-by-step explanation:
We know,
Equation of the slope is, y = mx + c. Where m is the slope.
y - 4 = 5/2*(x-2)
y = 5/2*(x-2) + 4
y = (5/2)x - 5 + 4
y = (5/2)x - 1
y = (5/2)x + (-1) [y = mx + c form]
Slope, m = 5/2
Hope this will help. Please mark me brainliest.
Simplify 52⋅(x−2)52⋅(x-2). Apply the distributive property. y−4=5/2x+5/2⋅−2 Combine 5252 and x
y−4=5x2+5/2⋅−2 Cancel the common factor of 2.Factor 2 out of −2
y−4=5x2+52⋅(2(−1))y-4=5x2+52⋅(2(-1))
Cancel the common factor.
y−4=5x2+52⋅(2⋅−1)y-4=5x2+52⋅(2⋅-1)
Rewrite the expression.
y−4=5x2+5⋅−1y-4=5x2+5⋅-1
Multiply 55 by −1-1.
y−4=5x2−5
Add 44 to both sides of the equation.
y=5x2−5+4y=5x2-5+4
Add −5-5 and 44.
y=5x2−1
Reorder terms.
y=52x−1
THE ANSWER IS M = 5/2
A new bicycle sells for $300 it is on sale for 1/4 off the regular price select all the expressions that represent the sale price of the bicycle in dollars.
Answer:
$225: the expression may look like $300-25%.
Step-by-step explanation:
First decide what is 1/4 of $300. ($300 / 4 = $75)
then subtract that amount from the original price. ($75-$300)
SOMEOME HELPPP PLS FAST
Answer:
3, 9, 27, 81, ...
Step-by-step explanation:
it's multiplying by 3
geometric sequence multiplies.
hope this helps
Answer:
Third option or 3,9,27,81
Step-by-step explanation:
A geometric sequence is a sequence where the term multiplies by the last term to make the next term.
In these options, we can clearly see the second and fourth one are not geometric as their relationship is not by multiplying.
The first option is also wrong since 4*-16 is -64, not 64.
That leaves the third option. 3*9 = 27, 9*27 is 81. Therefore, it is the third option
Help:
A) 3/4 + 1/7 =
B) 2/5 + 3/6 =
C) 2/5 - 1/4 =
D) -2/6 - (-1/3) =
E) 5 ½ + 6 ½ =
F) 8 ¾ + 4 ½ - 2 ¹/6=
G) 3/4 + 1/5 + 1/6 =
H) 8 ¾ + 4 ½ - 2 ¹/6 =
I) -3/12 - (-1/16) =
J) - 3/48 - (4/5) + 1/5 =
Answer:
A) 25/28
B) 9/10
C) 3/20
D) 0
E) 12
F) 11 1/12 (also as 133/12)
G) 1 7/60 ( also as 67/60)
H) 11 1/12 It's the exact same question as the other one sooo
I) -3/16
J) -53/80
Step-by-step explanation:
Just find the LCD and combine
Answer:
See below.
Step-by-step explanation:
A) 3/4 + 1/7 = 21/28 + 4/28 = 25/28
B) 2/5 + 3/6 = 12/30 + 15/30 = 27/30 = 9/10
C) 2/5 - 1/4 = 8/20 - 5/20 = 3/20
D) -2/6 - (-1/3) = -1/6 + 1/3 = 0
E) 5 ½ + 6 ½ = 5 + 6 + ½ + ½ = 12
F) 8 ¾ + 4 ½ - 2 ¹/6 = 8 + 4 - 2 + 9/12 + 6/12 - 2/12 = 10 13/12 = 11 1/12
G) 3/4 + 1/5 + 1/6 = 45/60 + 12/60 + 10/60 = 67/60 = 1 7/60
H) 8 ¾ + 4 ½ - 2 ¹/6 = 11 1/12
I) -3/12 - (-1/16) = -1/4 + 1/16 = -4/16 + 1/16 = -3/16
J) -3/48 - (4/5) + 1/5 = -15/240 - 192/240 + 48/240 = -159/240 = -53/80
What is 2x/3 - 4 =x ?
Step-by-step explanation:
2x/3 -4 = x
multiply both side by 3
2x - 12 = 3x
-x = 12
x = -12
b to the power of -3
write that as a positive exponent
explain
Answer:
1/b^3
Step-by-step explanation:
b^-3 is like writing:
1
---
b^3 since negative exponents are made into fractions
Solve
8V - 4(v + 8) = 8
Answer:
v = 10
Step-by-step explanation:
Answer:
v = 6
Step-by-step explanation:
8 v - 4 ( v + 8 ) = 8
8 v - 4 v - 32 = 8
4 v - 32 = 8
4 v = 8 + 32
4 v = 40
v = 40 / 4
v = 10
What is the value of x in the diagram below?
Answer:
57
Step-by-step explanation:
the whole angle is 90
So 90 minus 33 is 57
Map: Ayshadrew a circle on a map with a radius of 14 inches. She plans to visit the cities within the circle. Whatis the area of the map that she wants to visit?Use 22/7 for
Answer:
615.8in^3
Step-by-step explanation:
Given data
Radius= 14in
The expression for the area of circle is given as
A= πr^2
Area= 3.142*14^2
Area= 3.142*196
Area= 615.832in^3
Hence the area is 615.8in^3
Using the right triangle below. What is the name for side AB?
A) Hypotenuse
B) Adjacent
C) Opposite
D) None of the above
Answer:
A.Hypotenuse
Step-by-step explanation:
Side AB is the longest side of the triangle
The longest side of a triangle is known as the hypotenuse
ifthe radius of a cylinder is 4cm and height is 10cm, then the total surface area
Answer:
SA = 112π cm²
General Formulas and Concepts:
Symbols
π (pi) ≈ 3.14Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Surface Area of a Cylinder Formula: SA = 2πrh + 2πr²
r is radiush is heightStep-by-step explanation:
Step 1: Define
Identify
r = 4 cm
h = 10 cm
Step 2: Find Surface Area
Substitute in variables [Surface Area of a Cylinder Formula]: SA = 2π(4 cm)(10 cm) + 2π(4 cm)²Evaluate exponents: SA = 2π(4 cm)(10 cm) + 2π(16 cm²)Multiply: SA = 80π cm² + 32π cm²Add: SA = 112π cm²Which formula will correctly calculate the length of side, t, in the triangle?
Answer:
t = [tex]\sqrt{r^2 + s^2}[/tex]
Step-by-step explanation:
Below is the following calculation:
It is given that the one side of the triangle is t. Thus, let the other sides are "r" and "s". Thus, the best way to find the side of a triangle is to use the Pythagorean theorem. Here, let t is the hypotenuse.
Below is the formula:
t = [tex]\sqrt{r^2 + s^2}[/tex]