Answer:
[tex]y - 20 = 24(x - 3)[/tex]
Step-by-step explanation:
Equation of a line:
The equation of a line, in point-slope form, has the following format:
[tex]y - y_0 = m(x - x_0)[/tex]
In which the point is [tex](x_0,y_0)[/tex] and the slope is m.
(3, 20)
This means that [tex]x_0 = 3, y_0 = 20[/tex]. So
[tex]y - y_0 = m(x - x_0)[/tex]
[tex]y - 20 = m(x - 3)[/tex]
Slope:
The slope is the derivative of the function at the point:
The function is:
[tex]y = x^3 - 3x + 2[/tex]
The derivative is:
[tex]y^{\prime}(x) = 3x^2 - 3[/tex]
At the point, we have that [tex]x = 3[/tex]. So
[tex]m = y^{\prime}(3) = 3*3^2 - 3 = 27 - 3 = 24[/tex]
So the equation to the tangent line to the curve a the point is:
[tex]y - 20 = 24(x - 3)[/tex]
Solve the qustion below please
Answer:
angle BNU = 60 degrees
Step-by-step explanation:
3x + 8 = 44
3x = 36
x = 12
5x = 60
Is the relation a function?
The relation can be represented by the ordered pairs (2, 1), (3, 4), (5, 19), and (8, 7).
friends?
.............................
Find the surface area of the shape below. Answer in NUMBERS only, NO units. Round your answer to the nearest tenth.
Step-by-step explanation:
In the given figure, its a cube with edge 7.7 inches.
Surface area = 6a²
Where ‘a’ denotes the edge
→ 6(7.7)²
→ 6 × 59.29
→ 355.74
Rounding nearest tenth :
→ 355.8
Need help fastttt
Aviva has a total of 70 coins, all of which are either dimes or nickels. The total value of the coins is $5.95. Find the number of each type of coin.
A.23 nickels: 47 dimes
B.26 nickels: 44 dimes
C.21 nickels: 49 dimes
D.49 nickels: 21 dimes
Answe
b i hoped this help :)
Step-by-step explanation:
Answer:
The answer is c:)
Step-by-step explanation:
20 nickels = 1 dollar
40 dimes=4 dollar
4+1=$5
9 dimes + 1 nickel = 95
$5.95
Which of the following answer is equivalent to this expression 8+12x
Answer:
what is the answer choices
Step-by-step explanation:
answer:
4(2+3x)
step-by-step explanation:
4(4+3x)=16+12x
4(x+3x)=16x
3(5+9x)=15+27x
4(2+3x)=8+12x
how to solve 4(2+3x):
4(2+3x)
=(4)(2+3x)
=(4)(2)+(4)(3x)
=8+12x
good luck :)
hopefully, this helps
have a nice day !
Ramon knows there are 60 seconds in 1 minute. He writes the equation 60s=m to find the number of minutes, m, in any number of seconds, s.
Use the drop-down menus to complete the statements about Ramon's equation.
Answer:
60 seconds is 1 minute, let's say for example you wanna find how many seconds is 3 minutes. So you gotta take 60(3) = 180m. :)
Step-by-step explanation:
41.
The Ferris wheel has a radius of 50 feet.
If a car at point E(50, 0) moves to point F,
what are the approximate coordinates of
the car's location after the rotation?
ast week, a coral reef grew 20.4mm taller. How much did it grow in meters
Answer:
0.0204 meters
Step-by-step explanation:
Answer:
0.0204
Step-by-step explanation:
1 metre=1000 metres
x = 20.4
cross mutiply
20.4/1000
0.0204
A 2-gallon bottle of bleach costs $14.24. What is the price per pint?
Answer:
16 divided by 14.24 = 1.12359550562
If you round it would be: $1.12
Answer:
$1.12
Step-by-step explanation:
there are eight pints in a gallon, and since theres two gallons, that mean theres 16 pints. 16 divided by 14.24 is 1.12
Harry is a manager at a shoe factory. He is in charge of the manufacturing department. The president of the company asks Harry the following question. "How many athletic shoes are produced each month?" Why is the above question a statistical question? A. It anticipates variability in the data. B. All of the answers will be consistent. C. There is one answer to the question. D. The data collected will be cumulative.
Answer:
B. It anticipates variability in the data
Step-by-step explanation:
Statistics is the study of data gathering, organization, analysis, interpretation, and presentation. The correct option is A.
What are statistics?Statistics is the study of data gathering, organization, analysis, interpretation, and presentation. It is customary, to begin with, for a statistical population or a statistical model to be researched when applying statistics to a scientific, industrial, or social problem.
The given question that is asked by the President of the company is a statistical question because of the reason that the data anticipates variability. Hence, The correct option is A.
Learn more about Statistics:
https://brainly.com/question/8058700
#SPJ2
5 couples want to have their pictures taken. In how many ways can they arrange themselves in a row if couples must stay together
PERMUTATION is my answer...mm
Figures ABCD and PQRS are parallelogram find x and y (lengths are in metres) Part i and ii.
Step-by-step explanation:
For 1st question
In a parm ABCD
5x - 4 = 16 ( being opposite sides of parallelogram)
5x = 16 + 4
5x = 20
x = 20 / 5
x = 4
3y + 1 = 22 (being opposite sides of parallelogram)
3y = 22 -1
3y = 21
y = 21 / 3
y = 7
For second question
In parm PQRS
Diagonals bisect each other so
x + 4 = 12
x = 12 - 4
x = 8
x + y = 32
8 + y = 32
y = 32 - 8
y = 24
Hope it will help :)❤
What year is 7 years after 2003
Answer: 2010
Step-by-step explanation:
2003+7=2010
Suppose there is a 1.9°F drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature on the ground is 48.8°F, what will be the temperature when the plane reaches an altitude of 8,000 ft?
Answer:
33.6 degrees F
Step-by-step explanation:
8000/1000 = 8
8(1.9) = 15.2 degree drop
48.8 - 15.2 = 33.6 degrees F
WILL GIVR YOU BRAINLEST PLEASE HELP ASAP!
Lines & and m are intersected by transversal t and e // m.
€
1
5
6
8
By which postulate or theorem is 23* 26?
A. Alternate Exterior Angles Theorem
O
B. Alternate Interior Angles Theorem
o
C. Corresponding Angles Theorem
D. Same-Side Interior Angles Postulate
Which has the most elastic demand?
A)Post Raisin Brand
B) cereal
C) Post Raisin Brand from a Giant grocery store
D) food
E) Breakfast food
Answer:
C
Step-by-step explanation:
because Post rasinin brand from a giant grocery store
Answer:
C
Step-by-step explanation:
I hope this help
given the equation what would it look lile on a table.
Answer:
I apologise for how scruffy it looks, i didnt have a book or pen with me so this is the best i can do.
A rectangle is 6 centimeters longer than it is wide.
Its length and width are both increased by
4 centimeters.
Answer and Step-by-step explanation:
The length = 6 + w
The width = w
Rectangle when the length and width is increased by 4 centimeters.
length = 10 + w
width = 4 + w
#teamtrees #PAW (Plant And Water)
Pls help!!!! Cmon I need help!
Answer:
A) 0.39
Step-by-step explanation:
A=[tex]\pi[/tex]r²=0.38925589615
work out the area of a circle with diameter 1.8cm. Take [tex]\pi[/tex] to be 3.142 and give your answer in 1 decimal place.
Area of a circle is pi x r ^2
R = diameter/2
R = 1.8/2 = 0.9
Area = 3.142 x 0.9^2
Area = 2.5 square cm.
AAP4C
Applications of Trigonometry
1. A ladder that is 10 feet long is leaning against a wall at a 71° angle.
a. How far from the wall is the foot of the ladder?
b. How high up the wall does the ladder reach?
Answer:
cosine 71° = distance from wall / 10
A) distance from wall = cosine (71) *10
distance from wall = 3.2557 feet
B) Height up the wall ^2 = 10^2 - 3.2557^2
Height up the wall ^2 = 100 -10.59958
Height up the wall ^2 = 89.40041751
Height up the wall = 9.45518 feet
Step-by-step explanation:
I have no idea what to do. Pls help me
A store sells 0,1,2,3,4,5,6,7,8 items daily with the same probability. Find the probability that one day you will sell more than 3 items.
Answer:
5/9
Step-by-step explanation:
Each number - 0 through 8 - has an equal probability of being the number of sales on a particular day.
There are 9 possibilities of equal likelihood, so each one has a probability of 1/9.
So we want the probability of the number of sales being 4, 5, 6, 7, or 8.
Those are 5 out of the 9 possibilities, so 5(1/9) = 5/9.
In ΔTUV, the measure of ∠V=90°, the measure of ∠T=55°, and VT = 56 feet. Find the length of TU to the nearest tenth of a foot.
Answer:
97.6
Step-by-step explanation:
Answer:
97.6
Step-by-step explanation:
Please help if you understand!! I hope everyone has a great day or is having a great day
Answer:
Firstly, notice the relationship the two triangles have. They have conjoining ends that form vertical angles (looks like a middle x). Vertical angles are equivalent in measure of degrees.
Secondly, notice that the triangle on the right side is a right triangle. One of its angle's measurements are also given; 40 degrees. If you know that the sum of a triangle's angles equal 180 degrees, then simply subtract the known angles measurements from 180.
180-(90+40)= 180-130=50.
Therefore, the vertical angles measurement is equivalent to 50 degrees.
Apply the principle of the sum of all angles in a triangle equivalent to 180 degrees to the left triangle, and you will be able to find the measurement of the "?" angle.
180-(50+25)= 180-75=105
SO HERE IS YOUR ANSWER= 105 degrees is the value of the angle marked with a "?"
I hope you are having a great day too;)!
Answer:
The value of the angle will be 105 degrees
Step-by-step explanation:
First, one thing to know is that the angles in a triangle all add up to be 180.
From the triangle on the right, two of the angles are given to us.
We have the 40 degree angle and the 90 degree angle (we know it is 90 because of the red box in the triangle indicates that)
Next, you add up 90 and 40 which gives us 130. (90 + 40 = 130)
Because the sum of all the angles in a triangle is 180, you will subtract 180 from 130. (180 - 130 = 50)
The remaining angle from the triangle from the right is 50.
Now, a rule of angles is that vertically opposite angles are equal to each other.
Because we have found the 50 degree angle, the angle vertically opposite from that will also equal 50.
Now we have two known angles in the triangle from the left.
Because we know one degree is 50 and the other is 25, all we have to do is add those two angles and subtract from 180.
50 + 25 = 75
180 - 75 = 105
And there is our answer for the angle that is marked with a "?" --> 105 degrees
Hope this explnation made sense and good luck!
erica watch 1/2 of a movie in the morning and she watched some at night and by the end of the day she still had 1/3 of left how much did she watch at night?
The volume of this sphere is 15500cm3.
Work out the length of the radius,
r
.
Give your answer rounded to 1 DP
Answer:
r = 15.5
Step-by-step explanation:
4/3 pi r^3 = 15500 cm^3
r^3 = 15500 ÷ (4/3 pi)
r^3 = 3700.35
r = cube root of 3700.35
r = 15.467
r = 15.5
Answer:
4/3 π r³= 15500
r³=15500×3/4×7/22
r≈15.2 cm
Step-by-step explanation:
The red thing at the top is a right angle. Find the missing side lengths and leave answers as radicals in simplest form ILL GIVE BRAINLIEST
Answer:
A. x = 13
y = (13√3)/3
Step-by-step explanation:
Reference angle = 30°
Hypotenuse = (26√3)/3
Adjacent = x
Opposite = y
✔️Apply CAH to find x:
Cos 30 = Adj/Hyp
Cos 30 = x/(26√3)/3
√3/2 = x*3/(26√3) (cos 30 = √3/2)
√3/2 = 3x/(26√3)
Cross multiply
2*3x = (26√3)*(√3)
6x = 26*3
6x = 78
x = 78/6
x = 13
✔️Apply SOH to find y:
Sin 30 = Opp/Hyp
Sin 30 = y/(26√3)/3
Sin 30 = y*3/(26√3)
½ = 3y/(26√3) (sin 30 = ½)
Cross multiply
2*3y = (26√3)*1
6y = 26√3
Divide both sides by 6
y = (26√3)/6
y = (13√3)/3
Jennifer spent $75 on each visit to the grocery store. Write an equation to represent the amount she
spent, y, on x visits to the grocery store.
A y = 75x
B x = 75y
C 75 + x = y
D y = 75 - X
Please help