Please verify my answer. Do this look correct to you? If not please explain
Answer:
y = e·x
Step-by-step explanation:
The equation of a line tangent to a curve at a point is conveniently written in the point-slope form. The slope is the derivative of the function at the point. For your function, the rules applicable to products and exponential functions apply.
__
y = (e^x)(x^2 -2x +2
y' = (e^x)(x^2 -2x +2) +(e^x)(2x -2) . . . . . (uv)' = u'v +uv', (e^x)' = e^x
y' = (e^x)x^2 . . . . . simplify
For x=1, the slope is ...
y' = (e^1)(1^2) = e
__
The point-slope form of the equation for a line is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
y -e = e(x -1) . . . . . . . line with slope 'e' through point (1, e)
y = e·x -e +e . . . . . add e
y = e·x . . . . . . . . . . equation of the tangent line
__
Additional comment
It is often the case that ex is written when e^x is intended. We are trying to avoid that ambiguity here by writing the equation with an explicit "times" symbol.
A store can buy 8 cartons of milk for $24 or 7 cartons of milk for $28.
How much less does each carton of milk cost if the store buys 8 cartons instead of 7 cartons?
A.
$1 less
B.
$2 less
C.
$3 less
D.
$4 less
Answer:
A. $1 less
Step-by-step explanation:
24 divided by 8 (unit rate) = $3
28 divided by 7 = $4
4-3=1
Find the distance from home to school
(How far from Home directly to School?)
5 miles
(From Friends to School)
4 miles
(From Home to Friends house)
Answer:
√41
Step-by-step explanation:
Pythagorean Theorem:
a^2+b^2=c^2
4^2+5^2=c^2
16+25=c^2
41=c^2
√41=c
Here are the fuel efficiencies (in mpg) of 15 new cars.
44, 41, 27, 22, 44, 36, 18, 23, 30, 19, 32, 16, 28, 21, 42
What is the percentage of these cars with a fuel efficiency less than 32 mpg?
Answer:
[tex]60 \%[/tex]
Step-by-step explanation:
Among the 15 cars ,only 9 cars with a fuel efficiency less than 32 mpg :
27,22,18,23 , 30 , 19,16,28,21
[tex]\text{the percentage} =\frac{9}{15} \times 100=60 \%[/tex]
can someone explain to me how to get 338 root 2 as the answer
Answer:
13√2
Step-by-step explanation:
The square root of 338 is expressed as √338 in the radical form and as (338)½ or (338)0.5 in the exponent form. The square root of 338 rounded up to 5 decimal places is 18.38478. It is the positive solution of the equation x2 = 338. We can express the square root of 338 in its lowest radical form as 13 √2.
√338 = √13^2x2 = V13^2 x √2 = 13√2
13√2 = 13 x 239/169 = 239/13 = 18.385
Solve the equation by subtracting the appropriate number from both sides and enter the value of x below. x + 45 = 97 x = _____
Solution:
Your problem → x + 45 = 97x
x+45=97x
⇒-96x+45=0
⇒96x=45
⇒x=45/96
⇒x=15/32
It takes 12 hours to clean the windows of a certain office building. During the
first day of cleaning, the workers were able to clean for 9 hours. If the variable
t stands for the amount of time the workers have left to clean the windows,
which of the following units could apply to this variable?
•
A. workers
B. hours
C. windows
D. buildings
Answer: B. hours
Step-by-step explanation:
Let us closely look at the varible t it gives, the one we are looking at units for. "t stands for the amount of time the workers have left to clean the windows"
"t stands for the amount of time ..."
The only unit they give that represents time is hours, meaning the answer to your question is:
B. hours
A triangle has a perimeter of 51 cm. If the three sides of the triangle are n, 4n-4, and 4n-8, what is the length of each side?
Answer:
7,24,20
Step-by-step explanation:
The perimeter is simply the lengths of the sides, added up
n+4n-4+4n-8=9n-12=51 cm
9n=51+12
9n=63
n=7
plug in 7 for n to get:
7,4*7-4,4*7-8
or
7,24,20
PLEASE HELP! I have made a pic of it. Hope you have a nice day
he table represents a linear function. A two column table with six rows. The first column, x, has the entries, negative 2, negative 1, 0, 1, 2. The second column, y, has the entries, negative 2, 1, 4, 7, 10. What is the slope of the function? –3 –2 3 4
Answer:
3
Step-by-step explanation:
Use the formula:
The slope equation using the equation of line is given as, y = mx + b, here, m is the slope and b is the y-intercept.
choose any 2 rows and plot them into the formula.
(-2)-1/(-2)-(-1) = 3
Answer: 3 or C
Step-by-step explanation:
does the activities like deforestation and disposing waste have an imapct on the life on land and life below water?
Answer:
A fully functioning forest has a great capacity to regenerate. But exhaustive hunting of tropical rainforest wildlifecan reduce those species necessary to forest continuance and regeneration. For example, in Central Africa, theloss of species like gorillas, chimps, and elephants undercuts the seed dispersal and slows the recovery.
Step-by-step explanation:
What is the area
Use 3.14 for pi
Round to the nearest hundredth
Answer: The answer is 120
Step-by-step explanation:
5x4x3=60 6x4x5+120 divided by 2= 60
60+60= 120
Solve 30% of blank =90
Answer:
300
Step-by-step explanation:
Let y = unknown number
30% of y = 90
⇒ 0.3 × y = 90
⇒ y = 90 ÷ 0.3
⇒ y = 300
PLEASE HELP REALLY NEED IT RIGHT NOW WILL GIVE CORRECT WORK WITH ANSWER BRAINIEST Find the area of X and show your work !!
Answer:
x = 6.40
Step-by-step explanation:
The formula to find the area of the rectangle is :
Area = Length × Width
Given that,
Area ⇒ 50
Length ⇒ ( 2x - 5 )
Width ⇒ x
So now we can write an expression like this.
Area = Length × Width
50 = x ( 2x - 5 )
And now we can solve for x.
Let us solve now by using the completing square method.
x ( 2x - 5 ) = 50
2x² - 5x = 50
First divide the whole equation by 2.
x² - 2.5 = 25
x² - 2.5 + 1.5625 = 25 + 1.5625
( x - 1.25 )² = 26.5625
x - 1.25 = ±√26.5625
x - 1.25 = ±5.1538
So,
x = + 5.1538 + 1.25 or x = - 5.1538 + 1.25
x = 6.40 x = -3.90
As we cannot get a negative number as a value for length,
x = 6.40
Which relationship is NOT a function?
HELPPP!!!!!!!!!! HELP!!!!!!
Answer:
I think that it is the one on the bottom left
Step-by-step explanation:
I am so sorry if it is wrong he he
13. Solve for x.
140²
146
X =
Answer:
X=37.56
Step-by-step explanation:
100 POINTS PLEASE ANSWER ASAP
A building has a second floor window 27 ft above the ground. A fireman brings his 33 foot ladder to lean against the wall to reach the window.
The reference angle will be the angle formed by the ladder and the ground.
[[Word List: Adjacent, Cosine, Hypotenuse, Opposite, Sine, Tangent]]
(a) In this scenario, the ladder represents the ______ of the triangle.
(b) The height of the window is the ________ side of the triangle
(c) The correct trigonometry ratio to use for this scenario is _______.
(d) The reference angle must be between 70 and 80 degrees for the ladder to be safe to climb. Use trigonometry and solve for the reference angle to the nearest whole degree. Is the ladder safe? (show work)
(e) The ladder is adjustable in 1-foot increments. What length does it need to be in order to be safe according to part D? (show work)
The ladder makes an angle 30 degrees with the ground
Data;
Length of the ladder (hypothenuse) = 30 ft
height of the wall (opposite) = 15 ft
When the ladder reclines on the wall, it forms a right-angle triangle and we can solve it.
Using SOHCAHTOA,
We have the value of hypothenuse and opposite and we can use the sine angle of this triangle.
The ladder makes an angle 30 degrees with the ground.
Learn more on trigonometric ratio here;
brainly.com/question/4326804
Step-by-step explanation:
A flowerbed has an area of 12 square meters. What is the largest possible perimeter of the flowerbed?
Answer:
5 feet long and 1 foot long and vise versa.
Step-by-step explanation:
177 568 123 nearest hundred thousand
Answer:
177 600 000 is the answer
Select the word in the following sentence that gives a context clue for the word diversity.
When she thought about all the different jobs and skills that were needed in the military, she thought that the soldiers must come from a wide diversity of backgrounds.
Answer:
Different
Step-by-step explanation:
Diversity is a noun that means the state or fact of being diverse; difference; unlikeliness. Variety; multiformity. A state of difference.
Pythagorean Theorem
a triangular garden is bound on with boards . one leg is 10 yards and long side is 17 yards . How long is the missing leg ? Round to the nearest 10th
I WILL MARK YOU BRAINLIEST IF ANSWERED CORRECTLY IF YOU DO NOT KNOW THE ANSWER PLS DONT COMMENT ON THIS THREAD
Answer:
? = 13. 35
Step-by-step explanation:
By using Pythagorean Theorem
H² = P² + B ²
=> 17² = P² + 10²
=> 289 = P² + 100
=> 289 - 100 = P²
=> 189 = P²
=> √189 = P
or P = 13.75
what is the mean average deviation of 5, 6, 6, 7, 9, 10, 10, 11.
Answer:
7.8 rounding up to 8
Step-by-step explanation:
A small refrigerator is a cube with a side length of 13 inches.
Use the formula S = 6s2 to find the surface area of the cube.
The surface area of the cube is
__________ square inches.
6 x 13^2=1,014
A=1,014 in
The surface area of the cube is 1,014 square in
which are undefined? sec(-pi/2) csc(3pi) cot(7pi/2) csc(-3pi/2) cot(5pi/3)
Answer:
[tex]csc(3\pi ), sec(\frac{-\pi}{2})[/tex]
The Undefined term is csc(3pi) and sec(-pi/2) .
What is Trigonometry?The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).
Given:
As, Cosecant is the reciprocal of sine, so the cosecant of any angle x for which sin x = 0 must be undefined, since it would have a denominator equal to 0. The value of sin (pi) is 0, so the cosecant of pi must be undefined.
Thus, csc(3pi) is undefined
and, the value of The value of cos (pi/2) is 0, so the secant of (pi)/2 must be undefined.
Thus, sec(-pi/2) is also undefined.
Learn more about Trigonometry here:
https://brainly.com/question/29002217
#SPJ2
A rectangular prism has a volume of 240 cubic feet. One dimension is 10 feet. What could the two other dimensions of the prism?
Answer:
6 & 4
8 & 3
12 & 2
1 & 24
Step-by-step explanation:
Any pair of numbers whose product is 24
The number 24 multiplied by 10 results in 240
Hope this helps
If a person charging $36 by a quarter of the hour and worked 6hour and 30 minutes how much will they charge
Answer: 936
Step-by-step explanation:
36 x 4 = 144
$144 = 1 hour of work
so for 6 hours of work, you'd do 144 x 6 = 864
Since 30 minutes is 2 outta 4 quarters, then you'd do 36 x 2 which is 72
so 72 + 864 = 963
So 6 hours and 30 minutes would be $936
Hope this helps.
what is the x-intercept of the function graphed below
A. (2,0)
B. (0,6)
C. (0,2)
D. (6,0)
Answer:
A. (2, 0)
Step-by-step explanation:
The function crosses the x-axis at point (2,0). Therefore, that is the x-intercept.
hope this helps :)
Simplify the expression 1.8(x-4.2)+x
Solve this pls
Answer:
2.8x - 7.56
Step-by-step explanation:
1.8(x-4.2) + x
= 1.8x - 1.8(4.2) + x
= 2.8x - 7.56
hope this helps!
The length breadth and height of a sectangular box are 24 cm, 6 cm and 2cm respectevely. Find the area of largest surface of box?
Answer:
[tex]408cmx^{2}[/tex]
Step-by-step explanation:
A=2(wl+hl+hw)=2·(2·6+24·6+24·2)= 408cm²
length= 6
width= 2
height= 24
to find:the area if the box.
solution:[tex]a = lwh[/tex]
[tex]a = 2(wl + hl + hw)[/tex]
[tex]a = 2 \times (2.6 + 24.6 \times + 24.2)[/tex]
[tex]a = 408 {cm}^{2} [/tex]
therefore, the area of the box is 408 square centimeters.
An ipod is regularly $140 but it is on sale for 30% off the price. What is the discount? What is the sale price?
Answer:
discount: 30% sale price: $98
Step-by-step explanation:
Simply multiply 140 by 70%(0.7) to get 98