To create a tangent line, 1st we need to know the points at which the tangent is to be located, then calculate the slope and finally with the help of these points and slope we can construct the equation of tangent line.
We need to take the following steps in order to build a tangent line:
We start by locating the curve point to which we want to locate the tangent line. Say, these points are [tex]x_1[/tex] and [tex]y_1[/tex]The slope (m) of the curve at that point is then determined by taking the function's derivative. The slope displays the function's rate of change at that precise location. The equation of the tangent line is then created by entering the coordinates of the point and the slope using the line's point-slope form. This equation is as follows: [tex]y - y_1 = m (x - x_1)[/tex]Hence, the above three steps are crucial to create a tangent line.
Learn more about tangent line here:
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When converting a mixed number to improper you add a nominator and or number then multiply the sum with the numerator true or false
Answer:
the answer is false. you first multiply the number by the numerator then add it to the denominator
What is the value of 30 minus 2 (7 + 2) minus 1?
A.11
B. 14
C. 17
D. 19
Answer:
A. 11
Step-by-step explanation:
30 - 2(7+2) - 1
30 - 2(9) -1
30-18- 1
12-1
11
Answer:
30 - 2(7+2) -1
PEMDAS
Parentheses first
30 - 2(9) -1
Then multiply and divide
30 - 18 -1
Then add and subtract
12-1
11
Step-by-step explanation:
Una empresa comercial vende automóviles cuyo precio es de S/.60000, con una cuota inicial del 20 % , para cancelar el saldo en treinta meses de plazo . Calcula la cuota fija mensual que se pagara si la empresa cobra una tasa de interes simple del 12% semestralmente
Responder:
$ 2560
Explicación paso a paso:
Dado lo siguiente:
Importe total (A) = 60000
Pago inicial = 20% de A
Pago inicial = 0,2 * 60000 = 12000
Importe pendiente de pago = (60000 - 12000) = 48000
Calcular el interés simple sobre el saldo de 48000 = principal
principal * tasa * tiempo
(48 000 * 0,12 * (30/6))
48000 * 0,12 * 5 = 28800
Por tanto, el importe total a pagar durante 30 meses será:
(48 000 + 28800) = 76800
Dado que el pago mensual es fijo:
Pago mensual = (monto total a pagar / cantidad de meses)
Pago mensual = (76800/30)
Pago mensual = $ 2560
Find the volume:
the picture below
Answer:
1,848m
Step-by-step explanation:
7x24x22= 3,696
Since it's a triangle, we split it into 2.
3,696÷2= 1,848
Therefore, your answer is 1,848.
Hope this helps!
PLEASE HELP!! how do I prove that vertical angles are congruent???
Answer:
a b
Step-by-step explanation:
HELP ASAP JUST NEED THE ANSWER PLEASE
Answer:
1
Reason:
There can only be one answer for prime numbers.
Answer:
1 beause 11 is an odd number so there are no mulipules
What number must be subtracted from both the numerator and the denominator of 5/3 to obtain a Fraction equal to 5/7 ?
Answer:
Step-by-step explanation:
Let the number = x
So we are trying to work out what number must be subtract from the numerator and denominator of 5/3 to equal 5/7.
You can write this as:
[tex]\frac{ 5-x}{3 - x} = \frac{5}{7}[/tex]
Then you want to get rid of the fractions so multiply both sides by 3-x
[tex]5 - x =[/tex] [tex]\frac{5 ( 3 - x)}{7}[/tex]
Then multiply both sides by 7
[tex]7( 5 - x) = 5 ( 3 - x)[/tex]
Multiply it out.
35 - 7x = 15 - 5x
Add 7x to both sides:
35 = 15 - 5x + 7x
35 = 15 + 2x
Subtract 15 from both sides
35 - 15 = 2x
20 = 2x
To find x, divide both sides by 2.
x = 10.
Jane has $125 in her bank account. Her cell phone bill is $47 a month. If she pays that bill two months in a row and doesn’t buy anything else or deposit any money, how much money does she have left?
47+47=94
125-94=31
She will have 31 dollars left
Jo is going on an 8-day activity holiday. Each day she can choose one of the water sports: kayaking or sailing, or land-based sports. She never does different water sports on consecutive days. She also wants to try all three options on at least one day of her holiday. How many different schedules are possible?
Answer:
6 ways
Step-by-step explanation:
Given
Number of Sports: 3
Required
Determine the total number of schedules
Since, there are 3 sports and the schedule is in no particular order.
The number of schedules is calculated as thus:
[tex]Number = n!\ ways[/tex]
Where:
[tex]n = 3[/tex]
So, we have:
[tex]Number = 3 * 2 * 1\ ways[/tex]
[tex]Number = 6\ ways[/tex]
Answer:
882
Step-by-step explanation:
Used excel sheet. drag numbers 0 to 65535. next row, create the base3 number of first column, select all 8 digit numbers, will be 6561. eliminate numbers with no 1 or 2 or 3. eliminate numbers with 23, 32, keeping 1 as kand, 2 as kayaking, 3 as surfing..result will be 882
Find the height a 17-foot ladder can reach on the side of a building when it
hits the ground at a 65° angle.
A. 7.2 ft
B. 15.4 ft
C. 36.5 ft
D. 48 ft
E 224 ft
SHOW EXPLANATION
Answer:
B. 15.4 ft
Step-by-step explanation:
this answer, without any formulas used, can be answered correctly and logically.
answer c, d and e are eliminated as the opposite side cant be greater than the hypotenuse.
now we have to find which is correct between a and b
the answer will be 'B' as the value of sine of an angle keeps increasing as the angle itself increases. thus, giving a bigger value of the opposite side (required height). as 15.4 ft.
mathematically,
sin65° = x/17
17 × sin65° = x
where x is height of the side of the building.
ASAP! PLEASE HELP! ILL GIVE BRAINLY! This is really needed now
Answer:
∠ABD = 48
Step-by-step explanation:
use symbolab
(x+15)=(4x-12)
x+15-15=4x-12-15
x=4x-27
x-4x=4x-27-4x
-3x=-27
divide both sides by 3 and you get x=9
then put 9 in to replace x
((9) + 15) + (4 (9) - 12)
=24 + (4 (9) - 12)
= 24 + 24
=48
ur welcome
It would take Delia 3 hours longer to re tile their bathroom by herself than it would for kari to retile on her own. If they work together it would take them 2 hours to retile their bathroom. How long would it take for Delia to retile the bathroom alone?
Answer:
6hours
Step-by-step explanation:
From the given information:
Suppose it took Karl x hours to retile her bathroom,
Then it will take Della 3 hours longer i.e (3+x) hours
If Della and Karl work together or will take them 2 hours
The objective is to determine how long it will take Delia to retile the bathroom alone?
∴
[tex]\dfrac{1}{x}+\dfrac{1}{3+x}= \dfrac{1}{2}[/tex]
[tex]\dfrac{x+3+x}{x(3+x)}= \dfrac{1}{2}[/tex]
[tex]\dfrac{2x+3}{3x+x^2}= \dfrac{1}{2}[/tex]
By cross multiplying, we have:
2(2x+3) = 3x+x²
4x + 6 = 3x + x²
3x + x² - 4x - 6
x² - x - 6 = 0
Using quadratic equation
x² -3x +2x - 6 = 0
x(x - 3) + 2(x - 3) = 0
(x +2) (x - 3) = 0
x + 2 = 0 or x - 3 = 0
x = -2 or x = 3
Since we are concerned about the positive integer,
Then, Karl = x = 3 hours while Della which is (3+x) = 3+3 = 6hours
Willy's candy shop selld special bags of candy. Amy bought 5 bags and found she had 60 pieces of candy. Mia bought 10 bags and found she had 130 pieces of candy. How many pieces of candy are there per bag?
Answer:
There are 12 pieces of candy in Willy's bags and 13 pieces of candy in Mia's bags.
Step-by-step explanation:
Draw it out.
2/11 inch thick. How thick will a stack of 15 magazines be?
wait do you mean that one magazine is 2/11 inches thick
Write the equation of the line that passes through point (-4, 3) and has a
slope of 5.
Answer:
T
Step-by-step explanation:
Which point-slope equation represents a line that passes through (3, –2) with a slope of negative StartFraction 4 Over 5 EndFraction?
Answer:
The equation is y = (-4/5)x + 2/5.
Step-by-step explanation:
In a slope form equation, y = mx + b where m represents gradient/slope and b is the y-intercept. Given that the slope is -4/5 so you have to find the value of b by substituing the coordinates into the equation :
[tex]y = - \frac{4}{5} x + b[/tex]
[tex]let \: x = 3,y = - 2[/tex]
[tex] - 2 = - \frac{ 4}{5} ( 3) + b[/tex]
[tex] - 2 = - \frac{12}{5} + b[/tex]
[tex]b = - 2 + \frac{12}{5} [/tex]
[tex]b = \frac{2}{5} [/tex]
[tex]y = - \frac{4}{5} x + \frac{2}{5} [/tex]
It costs 24 bollars for 16 tickets.
What is the price of one ticket?
Answer:
1.5 dollars
Step-by-step explanation:
24/16=1.5
Answer:
if 16 tickets cost 24 dollars how about one
if 16tkts = 24 dollars
how about 1 tkt = ?
1×24=24
24÷16 = 1.5 dollars or you round off to the nearest 5 cents Making the answer to be 2 Dollars per ticket
So what is a dilation and how will it effect the image and the preimage(i have 8th grade math).
Answer:
In geometry, a transformation is an operation that moves, flips, or changes a shape to create a new shape. A dilation is a type of transformation that enlarges or reduces a figure (called the preimage) to create a new figure (called the image).
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
Write the ratio as a fraction, in simplest form. (do not label)
60 teachers to 1,800 students
Answer:
1/30
Step-by-step explanation:
The running track behind the local gym is 3/ 4
mile long. The track and field team ran 2 2/3
laps around the track. How many miles did the team run? PLZZ help its timed
Answer:
2 Miles.
Step-by-step explanation:
[tex]2\frac{2}{3}=\frac{8}{3}\\\\\frac{8}{3}*\frac{3}{4}=\frac{2}{1}*\frac{1}{1}\\\\[/tex].
Your final answer is 2 miles.
2HT Butter House Bakery is famous for its butterscotch treat bars. The bakers always make a regular batch and a smaller gluten-free batch. To make a regular batch, the bakers use 5 cups of butterscotch chips and 16 cups of regular flour. To make a gluten-free batch, they use 3 cups of butterscotch chips and 8 cups of gluten-free flour. Which batch has a stronger butterscotch flavor?
Answer:
The gluten-free has stronger flavor of butterscotch
Step-by-step explanation:
Given
Regular Batch:
5 cups of butterscotch chips and 16 cups of regular flour.
Gluten-free batch
3 cups of butterscotch chips and 8 cups of gluten-free flour.
Required
Which batch has stronger butterscotch flavor
First, we need to determine the percentage of butterscotch in both flavors by using:
[tex]\% = \frac{Butterscotch}{Total} * 100\%[/tex]
For Regular:
[tex]\%= \frac{5}{5 + 16} * 100\%[/tex]
[tex]\%= \frac{5}{21} * 100\%[/tex]
[tex]\%= \frac{500\%}{21}[/tex]
[tex]\%= 23.81\%[/tex]
For Gluten-free
[tex]\% = \frac{3}{3 + 8} * 100\%[/tex]
[tex]\% = \frac{3}{11} * 100\%[/tex]
[tex]\% = \frac{300\%}{11}[/tex]
[tex]\% = 27.27\%[/tex]
Comparing both,
We can see that the percentage of butterscotch in gluten free batches is greater than that of regular batches
Hence:
The gluten-free has stronger flavor of butterscotch
18 percent of 68 is what
Please ASAP thank you
Answer:
<5 ~= <1 - Corresponding Angles Theorem
<1 ~= <7 - Alternate Exterior Angles Theorem
<5~= <7 - Vertical Angles Theorem
line l || line m - Transitive Property
Solve for A, w = 7a + 4b
Answer:
a= 7w-28b
Step-by-step explanation:
w= 7a +4b
-4b
w-4b =7a
w/7 - 4b/7 =7a/7
a= w/7 -4b/7
a= 7w-28b
Which rate describes a unit price. $1.00 for 2 lemons. $3.00 for every pound. $4.00 for 3 slices of pizza. $6.00 for every 6 bottles.
Answer:
I believe it would be $3 per pound.
Let me know if I'm incorrect!
Answer:
It is C
Step-by-step explanation:
i can verify because i took the test and got 100
4 to the power of -1
Answer:
0.25
I hope this helps!
Answer:
1/4
Step-by-step explanation:
Negative exponents basically flip the number upside down,
so 4 ^ -2 would be 1/4^2
where the four has a power of 2.
The answer would therefore be 1/16
Numbers to the power of 1, is just the same number, so if you have negative exponents, it would be the same 4, except flipped over.
They are wrong, it's actually 19683 pennies.
Answer:
It is actaully 19683.0 lol
Step-by-step explanation:
Answer:
I thought it was 42069 i guess i was wrong
Step-by-step explanation:
EVALUATE USING ALGEBRIC IDENTITES
1204²
Answer:
1449616
Step-by-step explanation:
Complete the synthetic division problem below. -31 2 - 2 3 What is the quotient in polynomial form?
Answer:
the answer is // x^2 - x +1 (apex)
Step-by-step explanation:
What is the y-intercept of 3x+5y=−30 ?
(0,−6)
(−6,0)
(10,−6)
(0,10)
Answer: (0,-6)
Step-by-step explanation:
To find the y-intercept, we can rewrite the equation into slope-intercept form.
3x+5y=-30 [subtract both sides by 3x]
5y=-3x-30 [divide both sides by 5]
y=-3/5x-6
Now that the equation is in slope-interceot form, we know that the y-intercept is -6, we know that the answer is (0,-6).