Answer:
Value of LN = 19 units
Step-by-step explanation:
Given:
LN = 3 + 8x
Find:
Value of LN
Computation:
We know that LM + MN = LN
So,
8 + 6x - 1 = LN
So,
3 + 8x = 8 + 6x - 1
3 + 8x = 7 + 6x
8x - 6x = 7 - 3
2x = 4
x = 2
So,
LN = 3 + 8x
LN = 3 + 8(2)
LN = 3 + 16
LN = 19
Value of LN = 19 units
[tex]f(x) = \sqrt{x} [/tex]
Lim h=0
f(x+h) -f(x)/h
Answer: [tex]\dfrac{1}{2\sqrt x}[/tex]
Step-by-step explanation:
[tex]\lim_{h \to 0} f(x)=\dfrac{f(x+h)-f(x)}{h}[/tex]
f(x) = [tex]\sqrt x\\[/tex]
f(x+h) = [tex]\sqrt{x+h}[/tex]
[tex]\lim_{h \to 0} f(x)=\dfrac{\sqrt{x+h}-\sqrt x}{h}[/tex]
[tex]=\dfrac{\sqrt{x+h}-\sqrt x}{h}\bigg(\dfrac{\sqrt{x+h}+\sqrt x}{\sqrt{x+h}+\sqrt x}\bigg)[/tex]
[tex]=\dfrac{(x + h)-(x)}{h(\sqrt{x+h}+\sqrt x)}[/tex]
[tex]=\dfrac{h}{h(\sqrt{x+h}+\sqrt x)}[/tex]
[tex]=\dfrac{1}{\sqrt{x+h}+\sqrt x}[/tex]
[tex]=\dfrac{1}{\sqrt{x+0}+\sqrt x}[/tex]
[tex]=\dfrac{1}{2\sqrt x}[/tex]
Identify all points and line segments in the picture below. This image has the potential for visual bias, so there is no alternative text. Points: A, B, C, D Line segments: Points: A, B, C, D Line segments: Points: A, B Line segments: Points: A, B, C, D Line segments:
Answer:
The answer is D
Step-by-step explanation:
d. Points: A, B, C, D Line segments: bar(AB), bar(AC), bar(BD)
The points are A, B, C, and D, and the line segment AB, AC, and BD. Then the correct option is B.
What is coordinate geometry?Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.
A line segment in mathematics has two different points on it that define its boundaries. A line segment is sometimes referred to as a section of a path that joins two places.
Identify all points and line segments in the picture below. This image has the potential for visual bias, so there is no alternative text.
From the diagram, the points are A, B, C, and D, and the line segment AB, AC, and BD. Then the correct option is B.
Your question was incomplete, but the complete question was attached below.
More about the coordinate geometry link is given below.
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4. The Emerson First National Bank is lending you money to buy a new car. The loan agreement will probably state
that you must carry
insurance.
A no-fault
B. collision
C. medical
D. liability
Answer:
D. liability
Step-by-step explanation:
The Emerson First National Bank is lending you money to buy a new car.
Before an agreement will be reached for any Organization to lend someone money there have to be something like a collateral.
The agreement will in it's document state that there must be a form of a reliability to hold on, such that if something's happen to the car, or you don't meet the paying up time, or something happens to you,they will see something to hold on.
Answer:
COLLISION insurance.
Step-by-step explanation:
A car is driving 90 kilometers per hours how far in meters does it travel in 3 second
Answer:
I hope it will work
Step-by-step explanation:
as given
speed = v = 90 km/hr convert to meter and sec we get
v =( 90 *1000 meter)/(3600 sec)
v=25 m /sec
as given t= 2 sec so
v=s/t
s= v*t
s=25*2
s=50 meter
if its help-full hit the stars and brain list it thank-you
What decimal number does point A on the number line below represent? −0.75 0.75 −1.25 1.25
Answer:
-1.75
Step-by-step explanation:
Point A is in between - 1 and -2
This interval is split in 4 equal parts and has 3 marker points.
Point A is on the bottom marker point, which indicates:
-1 * 3/4 = - 3/4 = - 0.75Since it is below -1, we add up - 1 and - 0.75:
- 1 + (-0.75) = - 1.75Point A represents: -1.75 on the number line
Answer:
-0.75678obsf
Step-by-step explanation:
PLEASE HELP (05.04 LC) The image below is a triangle drawn inside a circle with center O: (5 points) Which of the following expressions shows the area, in square inches, of the circle? (π = 3.14) Select one: a. 3.14 ⋅ 2 b. 3.14 ⋅ 3 c. 3.14 ⋅ 22 d. 2 ⋅ 3.14 ⋅ 22
Answer:
Area of the circle is πr²
= 3.14(2)² = 4 · 3.14
Step-by-step explanation:
Evaluate the following expression when x = -4 and y = 4.
Answer:
[tex] \frac{ - 1023}{4} [/tex]
Step-by-step explanation:
[tex] \frac{ {x}^{6} - 6 }{4y} = \frac{ - 4 {}^{6} - ( - 4) }{4(4)} = \frac{ - 4096 + 4}{16} = \frac{ - 4062}{16} = - 255.75 = \frac{ - 1023}{4} [/tex]
Hope this helps ;) ❤❤❤
Answer:
c
Step-by-step explanation:
anyone help if you guys help me the next question i will give u more points the screenshot is attached below
Answer:
69°
Step-by-step explanation:
To obtain the value of w, we must first obtain the value y as shown in the attached photo.
The value of y can be obtained as follow:
y + (w + 37) = 180 (sum of angle on a straight line)
y + w + 37 = 180
Make y the subject by rearranging
y = 180 – 37 – w
y = 143 – w
Finally, we shall determine the value of w as follow:
w + (w – 32) + y = 180 (sum of angles in a triangle)
y = 143 – w
w + (w – 32) + (143 – w) = 180
w + w – 32 + 143 – w = 180
Rearrange
w + w – w – 32 + 143 = 180
w + 111 = 180
Collect like terms
w = 180 – 111
w = 69°
Therefore, the value of w is 69°
The final cost of a bookstore purchase with a $5 coupon in a state that charges 8% sales tax is given by this expression. The variable x represents the amount of the purchase before the sales tax and the coupon are applied. 1.08(x−5) What does (x−5) represent?
a. the total charge after tax
b. the rate at which the total cost increases
c. the total charge before applying sales tax
d. the cost before applying the coupon
Answer:
B.the total charge before applying sales tax
Step-by-step explanation:
3(x-8) = -29.7 please solve for x
Answer:
The answer is x= -1.9.
Use the 3 to multiply the number and the letter in the bracket... which is...
3x-24=-29.7.
3x=-29.7+24.
3x=-5.7.
x=-5.7/3.
x=-1.9.
x is -1.9
Solve 3(x-8) = -29.7
Remove the brackets by dividing both sides by 3:
3(x-8) / 3 = -29.7 / 3
You will be left with:
x - 8 = -9.9
Take -8 to the other side so that you can be left with x. When you do this, the sign will change from negative to positive:
x = -9.9 + 8
x = 1.9
x is therefore -1.9
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Use Lagrange multipliers to find the maximum and minimum values of the function subject to the given constraint. f(x, y) = 2x2y, 2x2 + 4y2 = 12
Answer:
f(-2,-1) = -8 is the minimum value of f(x,y)
f(2,1) = 8 is the maximum value of f(x,y)
Step-by-step explanation:
f(x,y) = 2x²y under the constraint 2x² + 4y² = 12
Let g(x,y) = 2x² + 4y² - 12
df/dx = 4xy, df/dy = 2x², dg/dx = 4x and dg/dy = 8y
Now, using the principle of Lagrange multipliers,
df/dx + λdg/dx = 0 and df/dy + λdg/dy = 0.
Substituting the values of the variables, we have
df/dx + λdg/dx = 0 and df/dy + λdg/dy = 0.
4xy + 4xλ = 0 (1) 2x² + 8λy = 0 (2)
xy + xλ = 0
x(y + λ) = 0
x = 0 or y + λ = 0
Since x ≠ 0, y = -λ
Substituting y = -λ into (2), we have
2x² + 8λy = 0
2x² + 8λ(-λ) = 0
2x² - 8λ² = 0
2x² = 8λ²
x² = 4λ²
x = ±2λ
Substituting the values of x and y into the constraint equation, we have
2x² + 4y² = 12
2(±2λ)² + 4(-λ)² = 12
2(4)λ² + 4λ² = 12
8λ² + 4λ² = 12
12λ² = 12
λ² = 1
λ = ±1
Substituting the value of λ into x and y, we have
x = ±2λ = ±2(±1) = ±2
y = -λ = -(±1) = ±1
The minimum values of x and y are -2 and -1 respectively. Substituting these int f(x,y), we have
f(-2,-1) = 2(-2)²(-1) = 2 × 4 × (-1) = -8
So f(-2,-1) = -8 is the minimum value of f(x,y)
The maximum values of x and y are 2 and 1 respectively. Substituting these int f(x,y), we have
f(2,1) = 2(2)²(1) = 2 × 4 × 1 = 8
So f(2,1) = 8 is the maximum value of f(x,y)
Marissa is writing a book. The ratio of the number of pages she has written so far to the
number of hours she has spent writing is 5:8. Which statement is true?
On average, Marissa wrote 1 page every 3 hours.
On average, Marissa wrote 3 pages each hour.
On average, Marissa wrote 5 pages every 8 hours.
On average, Marissa wrote 8 pages every 5 hours.
Answer:
On average, Marissa wrote 5 pages ever 8 hours.
Step-by-step explanation:
The ratio is the number of pages to the number of hours she has spent writing so 5:8 means 5 pages every 8 hours.
On average, Marissa wrote 5 pages every 8 hours. Therefore, option C is the correct answer.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Given that, the ratio of the number of pages she has written so far to the number of hours she has spent writing is 5:8.
In 8 hours Marissa is writing 5 pages
Therefore, option C is the correct answer.
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x2-8x-9-y2+10y solve this
Answer:
in descending order, your answer would be x^2-y^2+2y-9. Hope this helps!
Step-by-step explanation:
Answer:-6x-9+8y.
Step-by-step explanation: 2x-8x-9-2y+10y -6x-9-2y+10y -6x-9+8y
A record weight for a red snapper was 46 pounds. A record weight for a sturgeon was 468 pounds. About how many times heavier than the red snapper was the sturgeon?
Answer:
10.17
Step-by-step explanation:
To find the answer the this question we must divide "468" by "46". We then get the answer 10.173913....... I rounded it to the hundredths place.
Use the definition of the derivative to find f'(x) if
[tex]f(x) = \frac{1}{x - 1} [/tex]
Answer:
f'(x) = - [tex]\frac{1}{(x-1)^2}[/tex]
Step-by-step explanation:
f'(x) = [tex]lim_{h>0}[/tex] [tex]\frac{f(x+h)-f(x)}{h}[/tex]
= [tex]lim_{h>0}[/tex] [tex]\frac{\frac{1}{x+h-1}-\frac{1}{x-1} }{h}[/tex]
= [tex]lim_{h>0}[/tex] [tex]\frac{x-1-(x+h-1)}{h(x+h-1)(x-1)}[/tex]
= [tex]lim_{h>0}[/tex] [tex]\frac{x-1-x-h+1}{h(x+h-1)(x-1)}[/tex]
= [tex]lim_{h>0}[/tex] [tex]\frac{-h}{h(x+h-1)(x-1)}[/tex] ← cancel h on numerator denominator
= - [tex]\frac{1}{(x-1)^2}[/tex]
Help me please thank you
Answer:
x = 7
Step-by-step explanation:
To make L II M, the two angles ([2x - 3] & [x + 4]) have to be the same.
2x - 3 = x + 4 is the equation.
Simplify, and you will get x = 7
Hope this helps! Please tell me if I did anything wrong, thank you!
A cell phone company charges $15 for 120 minutes. What is the cost per minute? Round to the nearest cent.
Answer: The cost per minute is $0.13 or 13 cents.
Step-by-step explanation:
If it charges $15 for 120 minutes then to get to one minute we will have to divide it by 120.
so 15/120 = 0.125 which rounds to 0.13 to the nearest cent.
Answer:
Step-by-step explanation:
The Rockville Recruitment Agency just placed Howard Jacobson in a job as an assistant pharmacist. The job pays $51.2K. The agency fee is equal to 40% of the first three weeks' pay.
c. How much must Howard pay the employment agency to the nearest dollar?
Answer:
Step-by-step explanation:
51,200 divided by 52. (52 weeks in a year.) 984.615385 is answer. So each week he gets paid $984.62. So then we multiply that by 3 since we are finding 40% of 3 weeks of pay. $984.62x3= $2953.86. Then we multiply that by 40%.. $2953.86x40%= Answer is $11181.54
PLEASE HELP! A) 6,135º C B) 6,681º C C) 502º C D) 47º C
Answer: 47°C
Step-by-step explanation:
Since we are given the velocity, all we have to do is plug in 358 for v and solve for t.
[tex]358=20\sqrt{273+t}[/tex] [divide both sides by 20]
[tex]17.9=\sqrt{273+t}[/tex] [square both sides to cancel out square root]
[tex]320.41=273+t[/tex] [subtract both sides by 273]
[tex]t=47.41[/tex]
Now that we know the temperature is 47.41°C, we know our answer choice is D.
Decide whether the pair of lines is parallel, perpendicular, or neither.
2x + 3y = 7
2x + 3y = 9
Answer:
the pair of lines are parallel
Is the following an Arithmetic Sequence? 4, 6, 8, 10, 12
Answer:
Yes
Step-by-step explanation:
For a sequence to be arithmetic, it must have a common difference, which means that the difference between any two consecutive terms must be the same. If we check the terms in our sequence, we see that 6 - 4 = 2, 8 - 6 = 2, 10 - 8 = 2 and 12 - 10 = 2. Since we got the same answer (2) every time, the answer is yes, it is an arithmetic sequence.
1. A swordfish can swim at a rate of 60 miles per hour. How many feet per hour is this?
Unit rate answer plz
Answer:
rate = 316800 feet miles per hour
unit = feet per hour
Step-by-step explanation:
swimming rate of fish = 60 miles per hour
1 mile = 5280 feet
60 miles = 60*5280 feet = 316800 feet
swimming rate of fish = 60 miles per hour
substituting 60 miles with with its equivalent in feet we have
swimming rate of fish = 316800 feet miles per hour
answer
rate = 316800 feet miles per hour
unit = feet per hour
4. A ship traveled a distance of 50 km from port O at a bearing of 120°, then another 100 km to port B at a bearing of 200 °. What is the distance between ports O and B?
Step-by-step explanation:
Jesu
The sixth-grade class is competing in the school field day. There are 32 girls and 40 boys who want to participate. Each team must have the same number of girls and boys. What is the greatest number of teams that can be formed? How many boys and how many girls will be on each team?
Answer:
16 girls on each team and 20 boys on each team.
Hope I helped you.
simplify the expression. -6(-8 + 3s) =
Answer:
The correct answer is 48 - 18s.
Step-by-step explanation:
To simplify this problem, we have to use the distributive property. To do this, we must multiply each term inside the parentheses by -6 (what is outside of the parentheses). This is modeled below:
-6(-8 + 3s)
= (-8 * -6) + (-6 * 3s)
Now, we can simplify what is inside the parentheses.
= 48 - 18s
Therefore, the correct answer is 48 - 18s.
Hope this helps!
A pool measures 15 feet by 17 feet. A cement walkway is added around the pool,
to both the width and the length. The area of the pool and the cement walkway is
now 483 square feet. What is the width of the cement walkway?
Answer:
Width of the walkway = 3 feet
Step-by-step explanation:
Dimensions of a pool = 15 feet × 17 feet
After the addition of a cement walkway around the pool,
New dimensions of the pool (including walkway) = (l + 2x)(w + 2x)
Area of the pool and the cement walkway = 483 square feet
(15 + 2x)(17 + 2x) = 483 [Since, l = 15 feet and w = 17 feet]
255 + 30x + 34x + 4x² = 483
4x² + 64x = 483 - 255
4x² + 64x = 228
4x² + 64x - 228 = 0
x² + 16x - 57 = 0
By using quadratic formula,
[tex]x=\frac{-b\pm \sqrt{b^{2}-4ac}}{2a}[/tex]
x = [tex]\frac{-16\pm \sqrt{(16)^2-4(1)(-57)}}{2\times 1}[/tex]
x = [tex]\frac{-16\pm 22}{2}[/tex]
x = 3.0 ft, -19 ft
Since, dimension can't be negative.
Therefore, width of the walkway = 3 ft
The width of the walkway is 3 ft
The pool measures 15 feet by 17 feet. This means the pool is rectangular.
Properties of a rectangle:Opposite sides are equal to each otherOpposite sides are parallel to each otherarea of the pool = lw
area = 15 × 17 = 255 ft²
A cement walkway is added around the pool, to both the width and the length.
area of the pool and the cement walkway = 483 ft²
Therefore,
area = lw
The width and length was added on both sides.
let
the side added to the width = x
the side added to the length = x
length = 2x + 17
width = 2x + 15
483 = (2x + 17)(2x + 15)
483 = 4x² + 30x + 34x + 255
4x² + 64x - 228 = 0
x² + 16x - 57
x² - 3x + 19x - 57
x(x - 3) + 19(x - 3)
(x + 19)(x - 3) = 0
x = -19 or 3
we can only use positive value of x. Therefore, x = 3
length = 2(3) + 17 = 23 ft
width = 2(3) + 15 = 21 ft
Therefore, the width of the walkway is 21 - 15 / 2 = 3 ft
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How long will it take you to ski a distance of 36 miles at a speed of 3 miles per 30 minutes.
Answer:
6 hours
Step-by-step explanation:
Since there are 60 minutes in one hour, you can ski 3 * 2 = 6 miles per hour. Therefore, it will take you 36 / 6 = 6 hours to ski that distance.
A country has a 7 digit phone number system of the form ABC-DEFG. The first digit 'A' can be any number except O or 1. The next 2 digits , B' and 'C, can be any digit , except they cannot repeat . The last 4 digits can be any single digit number 0-9 . How many unique phone numbers are possible?
Answer:
7,200,000
Step-by-step explanation:
Number of Possibilities for
A) First Digit
There are 10 digits (0, 1, 2, 3, 4, 5, 6, 7, 8, and 9) of which 0 and 1 is not allowed.
Hence there are 8 possibilities for the first digit
B) Second digit
There are 10 posibilities
C) Third digit
Since it mustn't be the same as Second digit....
There are 9 possibilities
D) Forth digit
There are 10 possibilities
E) Fifth digit
There are 10 possibilities
F) Sixth digit
There are 10 possibilities
E) Seventh digit
There are 10 possbilities
Total possible ways for the 7-digit phone number is...
8×10×9×10×10×10×10
=7,200,000 possible phone numbers
Of the 2254 students at a liberal arts college, 257 are fifth year students. Among a sample of 321 of the students from this college, 257are fifth year students. Find the sample proportion of fifth year students, rounded to two decimal places as needed.
Answer:ifk
Step-by-step explanation:
how to write 720,080 in expanded form with exponents?
The number may be written as:
720,080
[tex]= \frac{720,080}{100,000} X 100,000[/tex]
[tex]=7.2008 X 10^5[/tex]
Answer: 7.2008 x 10⁵
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