Answer:
[tex]y = 5[/tex]
Step-by-step explanation:
Given function:
[tex]y=\dfrac{5x}{x+6}[/tex]
[tex]\implies y=5 \left( \dfrac{x}{x+6}\right)[/tex]
[tex]\textsf{As }x \rightarrow +\infty, \ \dfrac{x}{x+6} \rightarrow1[/tex]
[tex]\implies y\rightarrow5[/tex]
[tex]\textsf{As }x \rightarrow -\infty, \ \dfrac{x}{x+6} \rightarrow1[/tex]
[tex]\implies y\rightarrow5[/tex]
As [tex]x[/tex] approaches infinity and negative infinity, [tex]y[/tex] approaches 5 (but never gets there). Therefore, the horizontal asymptote is [tex]y=5[/tex]
The volume of a cylinder is 81 pi in^3 and the height of the cylinder is 1 in. What is the radius of the cylinder
Answer:
18/20π
Step-by-step explanation:
81π ÷ 1 = 81π
81π ÷2 = 18/20π
You do this because the radius is half of the diameter and you need to get rid of the hight by dividing it from the volume.
write an expression to m+m+m+m that is a product of a coefficient and a variable
[tex]m+m+m+m=(1+1+1+1)m=4m[/tex]
NO LINKS!!
You want to make a banner that says HAPPY BIRTHDAY. You want the letters to be 3 inches high. You make a sketch of the banner with letters that are 2 inches high. The length of the phrase in your sketch is 20 inches long. What length of paper should you buy to make the banner?
Answer:
30 inches
Step-by-step explanation:
Assuming the banner you want is similar to the sketch you made, the length of the banner is 10 times the letter height.
For 3-inch letters, the banner length will be 30 inches.
Answer:
30 ft
Step-by-step explanation:
**According to the image of the banner, the banner should be 3 foot high (not 3 inches)**
Create a ratio of letter height to length of phrase for the sketch and the banner. Let x be the length of the banner.
NB There is no need to convert the measurements between inches and feet, since the letter height and length of phrase is measured in the same way for each banner.
Ratio: letter height : length of phrase
Sketch (in inches): 2 : 20
Banner (in feet): 3 : x
Equate the ratios and solve for x:
[tex]\sf \implies 2 : 20 = 3 : x[/tex]
[tex]\sf \implies \dfrac{2}{20}=\dfrac{3}{x}[/tex]
[tex]\sf \implies 2x=3 \cdot 20[/tex]
[tex]\sf \implies 2x=60[/tex]
[tex]\sf \implies x=\dfrac{60}{2}[/tex]
[tex]\sf \implies x=30[/tex]
Therefore the length of paper your should buy to make the banner is 30ft.
For f(x) = 3x^3 - 9x^2 - 5x + 2
A. Find f(-1)
B. Find f(2)
Answer:
(3x2 + 3x - 1) • (x + 2)
Step-by-step explanation:
3.4 Polynomial Long Division
Dividing : 3x3+9x2+5x-2
("Dividend")
By : x+2 ("Divisor")
dividend 3x3 + 9x2 + 5x - 2
- divisor * 3x2 3x3 + 6x2
remainder 3x2 + 5x - 2
- divisor * 3x1 3x2 + 6x
remainder - x - 2
- divisor * -x0 - x - 2
remainder 0
Quotient : 3x2+3x-1 Remainder: 0
A manager drew this box-and-whisker plot to represent the number of minutes each of his 27 employees took on their break. Each employee took a different amount of time.
How many employees took a break longer than 49 minutes?
Enter your answer in the box.
Answer:
6
Step-by-step explanation:
Longer than 49 is only 25% percentile.
27 X .25 = 6.75
Employees are whole numbers, therefore the answer is 6.
Answer:
6
Step-by-step explanation:
Larissa dives into a pool that is 8 feet deep. She touches the bottom of the pool with her hands 6 feet horizontally from the point at which she entered the water.
What is the approximate angle of elevation from the point on the bottom of the pool where she touched to her entry point?
36.9°
41.4°
48.6°
53.1°
Answer: 48.6°
Step-by-step explanation:
Angle of elevation = sin inverse (6/8)
= 48.6 degrees
Therefore, Option C is right answer
Answer quickly help please !!
Answer:
z = 104°
Step-by-step explanation:
A straight line is 180° which helps us to solve this problem.
180° - 76° = 104°
This means that angle y will be 76° and x will be 104° because of vertical angles.
Find the highest common factor (HCF) of 270 and 450.
Answer:
HCF = 90
Step-by-step explanation:
Hope it Helps!!!
5.Joan Robinson opens her own law office on July 1, 2012. During the first month of operations, the following transactions occurred. 1. Joan invested $11,000 in cash in the law practice. 2. Paid $800 for July rent on office space. 3. Purchased office equipment on account $3,000. 4. Provided legal services to clients for cash $1,500. 5. Borrowed $700 cash from a bank on a note payable. 6. Performed legal services for client on account $2,000. 7. Paid monthly expenses: salaries and wages $500, utilities $300, and supplies $100. 8. Joan withdraws $1,000 cash for personal use
Step-by-step explanation:
i will go you in the bank in co2 in the man
What is the solution set?
Answer:
5'3
Step-by-step explanation:
trust me I know what im talking about
Please help me I don’t understand
Answer:
y=-2x + 5
Step-by-step explanation:
y=mx+b
m=slope
b= y intercept
since on the y line the line intercepts on 5 you replace 5 with the b.
As for the m(slope) when the line is decreasing (going down) its automatically a negative number. and since (0,5) (1,3) 5-3=2 -2 would be ur slope.
Liz flips a coin 60 times. The coin lands head up 24 times and tails up 36 times. The EXPERIMENTAL probability of the coin landing headS up is ___%.
Answer:
60%
Step-by-step explanation:
36= heads
36/60= 60%
Answer:
60x24x36=51,840%
Step-by-step explanation:
Seven times a number is between – 28 and 28.
Answer:
four and negative four
Step-by-step explanation:
7*4 =28 7 *-4 = -28
Which of the following choices represents the average of other four?
A)4. B)-3. C). -4. D). -17. E). 5
Answer:
B) -3
Step-by-step explanation:
The average can be found by dividing the sum of the numbers by the total number of numbers.
[tex]mean = \frac{the \: sum}{n} [/tex]
[tex]mean = \frac{4 + ( - 4) + ( - 17) + 5}{4} [/tex]
[tex]mean = \frac{0 + ( - 12)}{4} [/tex]
[tex]mean = \frac{ - 12}{4} [/tex]
[tex]mean = - 3[/tex]
The mean is -3, so we can say the answer is B.
Answer:
B. -3.
Step-by-step explanation:
A ' middle' number looks like -3.
(4 + -4 - 17 + 5) / 4
= (-21 + 9) /4
= -12/4
= -3.
Blake went shopping for a new pair of pants because of a sale. The store was offering a 10% discount. If the price on the tag was $40, what would be the price after the discount but before tax, to the nearest dollar and cent?
Please don't send a link!
$36 is the price after the discount but before tax.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that the store was offering a 10% discount.
The price on the tag was $40
We have to find the price after the discount but before tax,
The discount is 10% of $40, which is:
0.1 x $40 = $4
So the discounted price is:
$40 - $4 = $36
Hence, $36 is the price after the discount but before tax.
To learn more on Percentage click:
https://brainly.com/question/24159063
#SPJ2
Four less than the product of seven and a
number is seventeen. What is the number?
=============================================
First of all, let the number be u.
The product of 7 and u means you should multiply 7 times u:
[tex]\pmb{7u}[/tex]
Now, subtract 4:
[tex]\pmb{7u-4}[/tex]
This expression equals 17:
[tex]\pmb{7u-4=17}[/tex]
[tex]\rule{200}{2}[/tex]
[Now, let's Find the Value of u]
First, add 4 to both sides:
[tex]\pmb{7u=21}[/tex]
Now, divide both sides by 7:
[tex]\pmb{u=3}[/tex]
=======================================================
notes:-Hope everything is clear; if you need any clarification /explanation, kindly let me know, and I will comment and/or edit my answer :)
the length of a rectagle is 5 in longer than its width. if the perimeter of the rectangle is 56 in, find its length and width
Answer:
Step-by-step explanation:
Let the width of the rectangle = x
As length is 5 inches longer than width, we have to add 5 to width
Length = x + 5
Perimeter of ractangle = 56 in
2* (length + width) = 56
2*( x + 5 + x) = 56
2* (2x + 5) = 56
Use distributive property: a*(b +c) =(a*b) + (a * c)
2*2x + 2*5 = 56
4x + 10 = 56
Subtract 10 from both sides
4x = 56- 10
4x = 46
Divide both sides by 4
x = 46/4
x = 11.5
Width = 11.5 in
length = 11.5 + 5
= 16.5 in
the ratio of the length to the width to the height of an open rectangular tank is 10:5:8. The height of the tank is 18 feet longr than the width. wat is the volume of the tank?
Answer:
4556.25
Step-by-step explanation:
10:5:8=x:y:18
18/8=2.25
x=2.25x10=22.5
y=2.25x5=11.25
11.25x22.5x18=4556.25
Can someone help me please?
Answer:
11/2
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
This is because each dot represents one plot, and the only number with one plot above it is 1 and 1/2, aka D
5
volume of the solid figure.
7 yd 3 yd
4 yd
1 yd
12 yd
9 yd
4 yd
8 yd
lume is
Answer:
Hope the picture will help you.Make sure to mark me brilliant
What would be the corresponding angles ( similar figures ). Any help with this question will be gladly appreciated . Thank you
Answer:
x=4.8
I think ur supposed to solve for x. Since the rectangles are similar, we can set a proportion for the sides
5/3 = 8/x (then just solve for x)
24=5x
4.8=x
The volume of a bottle of water is 950 milliliters. What is the volume of 5 bottles in
Liters?
Answer:
the answer is 4,750
Step-by-step explanation:
just multiply 950x5
Sketch a graph x - y =5
Answer:
Step-by-step explanation:
*View attached graph*
Hope this helps!
(01.02 LC)Simplify 5 − (−1). 6 −6 4 −4
Answer:
=57
Step-by-step explanation:
Multiply and divide left to right
then add and subtract left to right
There is exactly 1 pair of parallel sides in the following shape.
The 7 unit side and the unit 10
since they are both perpendicular to the same 8 unit side
:)
please help as soon as possible
Answer:
D, E
Step-by-step explanation:
In the table, r = 3p, and by converse, p = 1/3r. These options are D and E
Answer:
This is not college level stuff.
But the answer is D. r = 3p and E. p =r/3
Step-by-step explanation:
As you can see in the graph, all the r values are 3 times the p values, 9 = 3 x 3, 21 = 3 x 7, 24 = 3 x 8 and so on. So, the equation is r = 3p. The same is also vice versa, r/3 = p.
Help help help help math math
Answer:
8 i think im not really sure
Step-by-step explanation:
Eliana draws a quadrilateral that has sides measuring 12 centimeters, 10 centimeters , 12 centimeters, and 10 centimeters in length. The angles are NOT right angle. What type of quadrilateral did Eliana draw?
Answer:
parallelogram
Step-by-step explanation:
opposite sides are congruent so this meets the minimum requirement to be a parallelogram.
7/8m+9/10-2m-53 answer
Answer:
− (45m+2084)/40
Step-by-step explanation:
I do not have one sorry,
What is the sum of 8 of the interior angles of a regular decagon?
Answer:
1152°
Step-by-step explanation:
interior angles of polygon = (n - 2) x 180, where n is the number of sides.
Decagon has 10 sides. 10 - 2 = 8 and 8 x 180 = 1440
Since there are 10 angles, Each angle a= 1440 / 10, which equals 144.
Finally, multiply 144 by 8 and you get 1152°