Find the equation of the tangent line at the given point on the following curve.
x² + y² = 25, (-4,-3)
The equation of the tangent line to the point (-4,-3) is y=
Preeta watches an ant and beetle crawl in a hole in the ground. the beetle is 3/4 inch below ground level. the beetle climbs 1/3 the distance the ant is below the ground level. the beetle is now 2 1/2 inches below ground level. Let X be the position of the ant relative to ground level. what equation can be written to solve for X? solve the equation.
Answer:
1a: [tex]\frac{3}{4}[/tex] + [tex]\frac{1}{3}x[/tex] = [tex]2\frac{1}{2}[/tex]
1b: See below
1c: [tex]2\frac{3}{4}[/tex] inches between the beetle and ant
Step-by-step explanation:
1a. To build the equation, we need to see that the beetle started at 3/4th inches below ground level, then "climbed" (which is poor English, it should be descended) a certain distance, and then it ended up at 2 1/2 inches below ground. The distance "climbed" can be represented as 1/3X, where "X" is the ant's current distance. We would do 1/3rd times "X" to figure out how much the beetle climbed down.
So that means, if we added together the starting position of 3/4, plus the distance the beetle descended (1/3X), that would get us TO 2 1/2 inches below ground (the beetle's new current position). So therefore our equation is:
[tex]\frac{3}{4}[/tex] + [tex]\frac{1}{3}x[/tex] = [tex]2\frac{1}{2}[/tex]
1b. Solve the equation written above from 1a.
[tex]\frac{3}{4}[/tex] + [tex]\frac{1}{3}x[/tex] = [tex]2\frac{1}{2}[/tex]
-3/4 -3/4 [subtract 3/4 to start the process of getting x by itself]
[tex]\frac{1}{3}x[/tex] = 1[tex]\frac{3}{4}[/tex]
*3/1 *3/1 [Multiply Reciprocal to get X by itself]
x= [tex]5\frac{1}{4}[/tex]
1c. So we take the position of the ant figured out on 1b (5 1/4 inches), and the new current position of the beetle (2 1/2 inches), and subtract them
5 1/4 - 2 1/2 = [tex]2\frac{3}{4}[/tex]
Grace and Jackie are both accountants. They each charge their customers an hourly fee for their service, as described below. Grace charges $540 for 18 hours of service. Jackie charges $40 per hour. Who charges more per hour?
Answer:
Jackie
Step-by-step explanation:
Since Grace charges 30 an hour (540 divided by 18 is 30) and Jackie charges 40 and hour, so Jackie would charge more.
Ninety (90) milliliters is equal to how many tablespoons?
Answer: 6.087 tablespoons. or rounded to nearest whole, 6
Step-by-step explanation:
I just know
Help my first time learning this it’s an easy problem
Answer:
I don't know but I I would just say C maybe?
Answer:
I say do B
Step-by-step explanation:
B and C look approximately the same but B look smaller
If I’m wrong I’m srry :<
May i please have the answer to this question?
Answer:
Well in order to solve these you can convert them into improper fractions.
So 11/5 + 11/6
Now to find the CM or someone multiple
So 5 and 6 have a common multiple of 30
So
66/30 + 55/30= 121/30
Now in mixed form
4 1/30
Answer:
4 1/30
Step-by-step explanation:
6/30+25/30 --> 6+25=31 --> 31/30
2+1=3
3+31/30=3 31/30= 4 1/30
có 100 công nhân sản xuất trong một ngày được 1200 đợn vị sản phẩm với tổng chi phí là 2400 USD
Answer:
4 better inbox
Step-by-step explanation:
Find the geometric mean between 18 and 7. Write your answer in radical form.
• 3 square root of 14
• 126
• 9 square root of 7
• 128
Answer:
option D is correct answer
-5 1/5 + 3.7 + 5 1/10 how to solve
Answer:
to find the answer u have to simplify
With a coupon, you can get a pair of shoes that normally costs $84 for only $71.40. What
percentage was the discount?
Answer:
85%
Step-by-step explanation:
71.40/84=0.85. multiply the decimal by 100 to get the percentage
Please help! Only answer if correct.
After driving x miles, the first plan costs
60 + 0.70x
dollars, while the second plan costs
0.80x
dollars.
The plans cost the same when these prices are equal:
60 + 0.70x = 0.80x
Solve for x :
60 = 0.80x - 0.70x
60 = 0.10x
x = 60/0.10
x = 600
is the function y = -7 a linear function?
Explanation:
The given equation is the same as y = 0x - 7. It matches the form y = mx+b which is slope intercept form of a linear equation.
The slope m = 0 always applies to horizontal lines. All points on this line have a y coordinate of -7.
A high school track team's long jump record is 22 ft 6 3/4in. This year, Arthur's best long jump is 21 ft 10 1/2in. If long jumps are measured to the nearest quarter inch, how much farther must
Arthur jump to break the record?
To beat the school long jump record,
Arthur must jump an additional ___inches.
(Type a whole number, fraction, or mixed number.)
Arthur must jump an additional 8.25 inches so as to break the record.
1 foot = 12 inches
Long jump record = 22 ft 6 3/4in = 22 ft 6.75 in = (22ft * 12 in per ft) + 6.75 in
Long jump record = 270.75 in
Arthur's long jump record = 21 ft 10 1/2in = 21 ft 10.5 in = (21ft * 12 in per ft) + 10.5 in
Arthur's long jump record = 262.5 ft.
To break the record, the distance needed to be jump by Arthur = 270.75 in - 262.5 ft. = 8.25 in
Arthur must jump an additional 8.25 inches so as to break the record.
Find out more at: https://brainly.com/question/20796404
Yamuna is getting ready to attend Wittenberg University in the fall. She needs 6 notebooks
at $2.19 each and a chromebook at $529.00. If she has $575 to spend, how much does
she have left for lunch?
Answer:
she has $32.86 left for lunch
Step-by-step explanation:
6 books at $2.19 each equals $13.14. plus the chrome book at 529. 529+13.14= $542.14
$575-542.14 equals $32.86
[tex]Simplify: 5 1/12 - 2 3/4 =[/tex]5 1/12 - 2 3/4 =
Answer:
51/12 - 23/4
find the LCM of 12 and 4
51-69/12= -18/12= -9/6 = -3/2 = -1.5
Would you rather have 15/20 of a pizza or 3/4 of a pizza? Explain your answer and how you solved the problem. plz hurry!
Shape l and ll are what?
Answer:
a trapezoid:ll and a dented triangle:l
expand 6(7+11x)
,,,,
Answer:
It would be 41+66x
Step-by-step explanation:
Javier is working in a lab testing bacteria populations. After starting out with a population of 378 bacteria, he observes the change in population and notices that the population doubles every 36 minutes. Find the equation for the population P in terms of time t in minutes. Round values to three decimal places.
This can be represented by the exponential function:
[tex]P=378(2)^\frac{t}{36}[/tex]
An exponential function is in the form:
y = abˣ
where y, x are variables, a is the initial value of y and b is the factor.
Let P represent the population of the bacteria after t minutes.
Since the bacteria starts with a population of 378, hence a = 378. The bacteria doubles every 36 minutes, This can be represented by:
[tex]P=378(2)^\frac{t}{36}[/tex]
Find out more at: https://brainly.com/question/12490064
PLEASE HELP!!!!!!!! PLEASE DON’T SEND LINK(S). LOOK AT THE PICTURE HAS ALL THE INFORMATION.
Answer:
5
Step-by-step explanation:
50÷5=10-5=5
wished it helped.
a toll box has 10 screw drivers and 6 wrenches Bella puts 8 more wrenches in the tool box how many more wrenches are in the toolbox
Find the perimeter of the polygon with the given vertices. Round your answer to the nearest hundredth.
hope this helps
<3
srry if this is wrong
What is the value of v?
By isosceles triangle theorem,
Angle ZXY = Angle ZYX
The sum of the angles in a triangle is 180 degrees.
106 + 2 same angles (-106) = 180 (-106) (Subtract 106 by both sides)
2 same angles (/ 2) = 74 (/ 2) (Divide 2 by both sides)
V = 37
Answer:
The value of v is 37°.
Step-by-step explanation:
Given that △ XYZ is an isosceles triangle where both sides have the equal angles. The total angle of △ is 180°. Let ∠ZXY and ∠ZYX be the same angles:
Let ∠ZXY = v, ∠ZYX = v, ∠ XZY = 106°,
∠ZXY + ∠ZYX + ∠XZY = 180°
v + v + 106° = 180°
2v + 106° = 180°
2v = 180° - 106°
2v = 74°
v = 74 ÷ 2
v = 37°
find the inverse for the function f(x)= 14-3x/8-2x
Answer:
y = 8x/93
Step-by-step explanation:
To get the find the inverse function, swap x and y and solve the equation for x.
Help help help help help
Answer:
x = 42
Step-by-step explanation:
The marked angles are supplementary, so their sum is 180°.
(2x +8) +(2x +4) = 180
4x +12 = 180 . . . . . . . . . simplify
x +3 = 45 . . . . . . . divide by 4 (because we can)
x = 42 . . . . . . subtract 3
_____
Additional comment
A "two-step" linear equation like this one is usually solved by subtracting the unwanted constant, then dividing by the coefficient of the variable. Here, we have done those steps in reverse order. This makes the numbers smaller and eliminates the coefficient of the variable. Sometimes I find it easier to solve the equation this way.
The library owns 80,000 books. 90% of the books are fiction books. How many fiction books does the library own?
Answer:
72 000 fiction books
Step-by-step explanation:
80000 * 90% = 80000 * 0,9 = 72000
Answer:
The library own 72,000 fiction books.
Step-by-step explanation:
# of fiction books =(total # of books)(% of fiction books)
[tex]B_f=(80,000)(.90)=72,000[/tex]
If Isabella runs 23 mile each day, how many miles will Isabella run in 6 days?
Answer:
[tex]138[/tex] miles in 6 days
Step-by-step explanation:
Our [tex]Rate[/tex] is [tex]23[/tex] miles per day.
DefinitionRate in Math - The speed of something happening in a certain amount of time, it is usually consistent.
Rate in Physics - Rate means rate of change. Basically, how much a certain quantity changes with respect to another quantity that is also changing. You may also sometimes hear the term gradient which describes the same thing.
To find how many miles she will run in 6 days we will multiply our [tex]Rate[/tex] by our Time, to find our distance, [tex](Miles, Physics)[/tex]
Our equation[tex]23\cdot6[/tex]
Solve[tex]138[/tex] miles in 6 days
Brainliest please :)
if 4/3divided by 1/6 then the value of p is between which of the following pairs of numbers
3 and 4
5 and 6
6 and 7
7 and 9
Answer:
7 and 9
Step-by-step explanation:
4/3÷1/6 = 4/3 × 6/1
= 8
So the value of p falls between the range of 7 and 9
Find the values of all 6 trigonometric functions for the angle inside right triangle where the opposite side of the angle is 9 cm and hypothenuse of the triangle is 13 cm.
Answer:
See belowStep-by-step explanation:
Find the missing leg x first using Pythagorean:
[tex]x=\sqrt{13^2-9^2} =\sqrt{169-81} =\sqrt{88}[/tex]Now the 6 functions, considering angle α opposite to leg with length of 9:
sine = opposite/hypotenuse
sin α = 9 / 13cosine = adjacent/hypotenuse
cos α = √88 / 13tangent = opposite / adjacent
tan α = 9 / √88cotangent = adjacent / opposite
cot α = √88 / 9secant = hypotenuse / adjacent
sec α = 13 / √88cosecant = hypotenuse / opposite
csc α = 13 / 9B=
[tex]\\ \sf\longmapsto \sqrt{13^2-9^2}=\sqrt{169-81}=\sqrt{88}\approx9.5[/tex]
Now
[tex]\\ \sf\longmapsto sinA=\dfrac{P}{H}=\dfrac{9}{13}[/tex]
[tex]\\ \sf\longmapsto cosA=\dfrac{B}{H}=\dfrac{9.5}{13}[/tex]
[tex]\\ \sf\longmapsto tanA=\dfrac{P}{B}=\dfrac{9}{9.5}[/tex]
[tex]\\ \sf\longmapsto cotA=\dfrac{1}{tanA}=\dfrac{9.5}{9}[/tex]
[tex]\\ \sf\longmapsto secA=\dfrac{1}{cosA}=\dfrac{13}{9.5}[/tex]
[tex]\\ \sf\longmapsto cosecA=\dfrac{1}{sinA}=\dfrac{13}{9}[/tex]
Circle A’s circumference is 3 times the value of Circle B’s Area. Find Circle B’a radius.
Circle A’s diameter is 27.
Formulas = A=(pi)r^2 and C=(2pi)r^2
Leave it in terms of pi if you do get pi left.
(Pi) = pi symbol (Brainly won’t let me use it.)
Thank you if you do answer it, I will give Brainlyist and a lot of pints!!
(side note: your formula C = 2πr^2 is incorrect, it should be C = 2πr)
Answer:
r = 9
Step-by-step explanation:
First let's find the circumference of Circle A. To use the formula we need radius. Since we have a diameter just divide by 2 to get radius. 27 / 2 = 13.5
Now plug that into C = 2πr: 2π*(13.5) = 27π
The question says that the area of circle B is 3x this value, so Circle B's area must be: 27π * 3 = 81π
Now plug that into A = πr^2 and solve for r:
[tex]81\pi=\pi r^{2}\\81=r^{2}\\\sqrt{81}=r\\9=r[/tex]
(edited to correct a brain fart)