Answer:
The correct answer should be:
[tex]y=\frac{1}{2}(e^3+1)\text{ or } y=\frac{e^3}{2}+\frac{1}{2}[/tex]
Step-by-step explanation:
We have the equation:
[tex]\ln(2y-1)=3[/tex]
Let’s remove the natural logarithm by raising both sides to e. This yields:
[tex]e^{\ln(2y-1)}=e^3[/tex]
The left will simplify to:
[tex]2y-1=e^3[/tex]
Add 1 to both sides:
[tex]2y=e^3+1[/tex]
Divide both sides by 2. So, the value of y should be:
[tex]y=\frac{1}{2}(e^3+1)[/tex]
Answer:
The correct answer is indeed y = [tex]\frac{e^3+1}{2}[/tex]
Step-by-step explanation:
I also took the test!
what does angle DFE= in degrees?
Type only number for answer
Replace the ? with a number that balances the equation. -3.4 = -2 + ?
Answer:
?=-1.4
Step-by-step explanation:
The number that fits the ? is -1.4. Hope it helps!
Answer:
-1.4
Step-by-step explanation:
(9x2 – 8) + (9x2 + 9x + 3)
Answer:
18x2 +9x -5
Step-by-step explanation:
combine like terms
Here is the other question
Part A and B are done
A. Lesson
1. Describe the formula for slope in words and with an equation.
M=y^2-y^1/x^2-x^1
1. What is the slope of all horizontal lines? What is the slope of all vertical lines?
The slope of all horizontal lines is 0. The slope of all vertical lines is undefined.
B. Lesson Content
3. Copy and paste the 3-step procedure for finding the slope using the formula.
4. Use Example 3 as your model for the following: In the 2000 census, the population was 8000; in the 2010 census, the population was 7500. Find the rate of growth for the town. Show the 3-step procedure, as well as the final answer in words.
A(200(x1), 8000(y1)) and B(2010(x2), 7500(y2))
M=(y2-y1)(x1-x2)=7500-8000/2010-2000
M=-50=50 people per year decrease
C. Write the slope-intercept (y = mx + b) form of the equation from the information given. Show your steps as done in the lesson content to earn credit.
Answer:
Step-by-step explanation:
Slope is m
in this case slope is -50
b is the y-int,
in this case the y-int is 8000
so your equation: y = -50x + 8000
An ostrich is being chased by a cheetah,
The ostrich is running at 44 feet per
second and the cheetah at 110 feet per
second. If the two started at the same
place and the ostrich got a 60-second
head start, how many seconds will it be
before the cheetah catches it?
Answer:
40 seconds
Step-by-step explanation:
(ostrich speed * seconds) + head start = (cheetah speed * seconds)
44x + (44 * 60) = 110x
44x + 2640 = 110x
2640 = 66x
x = 40
No. of seconds before cheetah catches ostrich = 40 seconds
What is speed?Speed tells us how slow or fast an object moves. It describes the distance travelled divided by the time taken to cover the distance.
Speed is directly Proportional to Distance and Inversely proportional to Time.
Speed = Distance/Time
Given,
Speed of ostrich = 44 feet per second
Speed of cheetah = 110 feet per second
Starting point is same
Ostrich got 60 second head start
Distance travelled by ostrich in 60 second = 44 × 60 = 2640 feet
let S be the number of seconds that it will take the cheetah to catch the ostrich
Distance covered by cheetah = 110S
Distance that the ostrich will cover before being caught is 2640 + 44S
According to the question
110S = 2640 + 44S
110S - 44S =2650
66S = 2640
S = 2640/66
S = 40 seconds.
Hence, It will be 40 seconds before cheetah catches the ostrich.
Learn more about speed here:
https://brainly.com/question/7359669
#SPJ2
Express 4/10 as a decimal number, and identify another decimal number that is equal to it. 4/10 expressed as a decimal number is ___, which is equal to ___
Answer:
Step-by-step explanation:
Decimal number in mathematics is one in which the whole number and the fractional part is separated by a decimal point
If we divide 4 by 10 it will give us a a decimal number which was done below
4/10
=0.4
And also if we divide 40 by 100 we will still have a decimal of 0.4
0.4=40/100
Express 4/10 as a decimal number, and identify another decimal number that is equal to it. 4/10 expressed as a decimal number is 0.4 which is equal to _40/100__
A 1-litermbottle of orange juice used to cost $2.85 at a food market. its price has increased; the new price is 110 percent of the original price. What is the new price? Round your answer to the nearest cent
Which of the following are solutions to the equation below?
Check all that apply.
x2 - 10x+ 25 = 17
I A. X = 17-5
B. x = --58-5
c. x= - - _17-5
D. x= 177 +5
E. x = 18 +5
F. x= -17 +5
Answer:
The answer is letter F po
Step-by-step explanation:
Use the formula
(b2)2 in order to create a new term. Solve for x
by using this term to complete the square.
Exact Form:x=±√17+5
HELP ME PLEASE, ASAP I JUST NEED X !!
Answer:
x = 6 deg
Step-by-step explanation:
14x + 11 = 16x - 1 (corresponding angles, // lines)
-2x = -12
x = 6
Answer:
C
Step-by-step explanation:
16x - 1 and 4x + 11 are corresponding angles and are congruent, thus
16x - 1 = 14x + 11 ( subtract 14x from both sides )
2x - 1 = 11 ( add 1 to both sides )
2x = 12 ( divide both sides by 2 )
x = 6
Substitute x = 6 into either of the 2 equal angles
Substituting into 14x + 11 , then
14x + 11 = 14(6) + 11 = 84 + 11 = 95° → C
Need help ASAP!! Write an informal proof to show triangles ABC and DEF are similar.
Answer:
Δ ABC and Δ DEF are similar because their corresponding sides are proportional
Step-by-step explanation:
Two triangles are similar if their corresponding sides are proportional which means the corresponding sides have equal ratios
In the two triangles ABC and DEF
∵ AB = 4 units
∵ DE = 2 units
∴ [tex]\frac{AB}{DE}=\frac{4}{2}=2[/tex]
∵ BC = 6 units
∵ EF = 3 units
∴ [tex]\frac{BC}{EF}=\frac{6}{3}=2[/tex]
∵ CA = 2 units
∵ FD = 1 units
∴ [tex]\frac{CA}{FD}=\frac{2}{1}=2[/tex]
∴ [tex]\frac{AB}{DE}=\frac{BC}{EF}=\frac{CA}{FD}=2[/tex]
∵ All the ratios of the corresponding sides are equal
∴ The corresponding sides of the two triangles are proportional
∴ Δ ABC is similar to Δ DEF
A 32-ounce package of a snack mix is 24 percent pretzel. How many ounces are pretzels? A. 0.706 B. 0.768 C. 7.06 or D. 7.68
Answer:
D.7.68
Step-by-step explanation:
100%= 32 ounces
24%= 24% x 32ounces = 768 ounces
100% 100
= 7.68 ounces
does anyone know this?
Answer:
1.37×10^9 is in scientific notation
Find the equation of the line that passes through points a and b.
Please help, will award brainliest.
Solve 1/2x−5=10−3/4x . Check your solution.
x= __
Answer:
12
Step-by-step explanation:
can you please answer my question too? it is due soon
Answer:
x = 12
Step-by-step explanation:
1/2x-5=10-3/4x
add 5 to both sides
1/2x=15-3/4x
add 3/4x to both sides
1/2x + 3/4x = 15
2/4x + 3/4x = 15
5/4x = 15
divide both sides by 5/4
x = 15 * 4/5
x = 60/5
x = 12
What is 5+5 I will give brainliest
Answer:
5+5=10
tep-by-step explanation:
It's easy I'm just not I'm my head rn can someone help?
This is a career explorations question, not math btw!!
Event planners may be responsible for which of the following? Select all that apply.
A: a sporting arena's fan night
B: a birthday party
C: a wedding
D: a Black Friday sale
x + 4 < 6
Drag your dot to a possible solution for the inequality.
Answer:
An open circle at 2, and an arrow facing left.
A linear function has the same y-intercept as x + 4y = 8 and its graph contains the point (5,3). Find the slope of the linear function. Write the slope in fraction form.
Answer:
x - 5y = - 10
Step-by-step explanation:
y = mx + b (b is y-intercept)
m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
~~~~~~~~~~~~
x + 4y = 8 ⇔ y = [tex]-\frac{1}{4}[/tex] x + 2 ⇒ y-intercept is 2 and coordinates of y-intercept are (0, 2)
(5, 3)
m = [tex]\frac{3-2}{5-0}[/tex] = [tex]\frac{1}{5}[/tex]
y = [tex]\frac{1}{5}[/tex] x + 2 (slope-intercept form)
x - 5y = - 10 (standard form)
Mike has a loan of $36,320. This loan has a simple interest rate of 6% per year. What is the
amount of interest that will be charged on this loan at the end of the first year?
Help:(
Answer:
ummm well that hard let me solve it real quick
Step-by-step explanation:
:/
angle of elevation and depression
Answer:
Solved Examples on Angle of Depression: 1. From the top of a tower, a man finds that the angle of depression of a car on the ground is 30°. If the car is at a distance 40 metres from the tower, find the height of the tower.
Step-by-step explanation:
(ANSWER ASAP PLZZ) WILL MARK BRAINEST IF CORRECT)Jason and 4 friends went bowling. Three friends rented shoes for $2 each. The total cost to rent the shoes and the lane fees was $42. What was the cost of the lane fees for each person?
Answer: 30/4
Step-by-step explanation:
-5 2/3 + 3 1/4 + -7 1/3
Sovle -5x + 8 < - 2x + 23
Answer:
_3x>+31 but I am not sure
Step-by-step explanation:
-5x<-2x+8+23
-3x>+31
Answer:
x > -5
Step-by-step explanation:
1.) Add +5x on both sides
-5x + 8 < - 2x + 23
+5x +5x
8 < 3x + 23
2.) Subtract 23 from both sides
8 < 3x + 23
-23 -23
-15 < 3x
3.) Divide by 3 on both sides
-15 < 3x
3 3
-5 < x
Because you divided by a negative, the sign flips
-5 > x
Can someone please help me with my homework !
Answer:
Nah ;)
Step-by-step explanation:
freeeeeeeeeeeeeeeeeeeeeeer pointk
welp thank you for this
6. A person can order a new car with a choice of 11 possible
colors, with or without air conditioning, with or without
heated seats, with or without anti-lock brakes, with or
without power windows, and with or without a CD player. In
how many different ways can a new car be ordered in terms
of these options?
A) 352
B) 704
C) 22
D) 176
Can someone help me with the questions in the picture?
Answer:
9. Perpendicular
10. neither
11. Perpendicular
12. neither
Step-by-step explanation:
------------------
Slope Intercept Form: y = mx + b
* M is the slope
* B is the y intercept
------------------
Lines are parallel if they have the same slope (ex. If two equations have a slope of 2)
Lines are perpendicular if they have the opposite and the reciprocal slope (ex. If 1 equation has a slope of 3 and another equation has a slope of - [tex]\frac{1}{3}[/tex] )
------------------
9. Perpendicular: The slopes are reciprocal of each other and one of them is negative
10. Neither: The lines are not perpendicular because the slopes are both negative
11. Perpendicular: If you plot y=5 it is a horizontal line through 5. If you plot x=-3 it is vertical line through -3. These lines intercept and are perpendicular.
12. Neither: The slopes of both equations need to be the same to be parallel
Put both equations into y=mx+by = 1/2x -2 AND y = -1/2x -2given the equation 9x+3Y=7 which equation is perpendicular to an equation with a y intercept of 12
Which of the following is equivalent to -(7/4) ?
A. 7/-4
B. -7/-4
C. 4/-7
D. 7/4
Answer:
A
Step-by-step explanation:
-(7/4) equals -7/4 or negative seven forths. Its doesn't matter where the negative sign is as long there's only 1 of them and that its still 7/4.
So through process of elimination, we take out B because theres 2 negative, which make a positive, our answer is negative
C is wrong because its 4/7, not 7/4
D is wrong because it's positive, leaving us with A
If -2x+4= 8, will x be positive or negative? Without solving the equation, explain how you know.
Answer:
x is negative
Step-by-step explanation:
I know x will be negative without solving the equation because we can see that both sides equal positive 8 and for -2x to be positive the x value must be negative. when two negative values are multiplied they change into positive. If the x value was Positive this equation would be false.
Hope this helps you
Answer:
Yes, x will be negative.
We are given:
-2x + 4 = 8
This means that "something", in this case -2x, added to 4, equals 8
The only thing that can add to 4 and equal 8 is 4.
So, that means -2x has to equal 4, which is a positive number.
Negative x negative = positive.
-2 is already a negative number, so x has to be a negative number.