Answer:
[tex] \displaystyle f'(x) = 2 {x} [/tex]
Step-by-step explanation:
we would like to differentiate the following:
[tex] \displaystyle f(x) = {x}^{2} [/tex]
take derivative In both sides:
[tex] \displaystyle f'(x) = \frac{d}{dx} {x}^{2} [/tex]
use exponent derivation rule:
[tex] \displaystyle f'(x) = 2 {x}^{2 - 1} [/tex]
simplify substraction:
[tex] \displaystyle f'(x) = 2 {x}^{1} [/tex]
by law of exponent we obtain:
[tex] \displaystyle f'(x) = 2 {x} [/tex]
and we are done!
Answer:
f'(x) = 2x
Step-by-step explanation:
Using the power rule
[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex]
f(x) = x²
f'(x) = 2.1 [tex]x^{2-1}[/tex] = 2x
The Chang family is on their way home from a cross-country road trip. During the trip, the function D(t)=3260−55t can be used to model their distance, in miles, from home after t hours of driving. find D(12) and interpret the meaning in the context of the problem.
Answer:
D(12) = 2,600 miles
It means a distance of 2,600 miles is already traveled from home after 12 hours
Step-by-step explanation:
To find D(12); all we have to do is to substitute the value of 12 for D
We have this as;
D(12) = 3260-55(12)
D(12) = 2,600
In the context of this problem, what this mean is that the distance away from home is 2,600 miles after traveling 12 hours
Use a graph to tell whether the ordered pairs represent a linear function, an exponential
function, or a quadratic function.
(-2, 2), (-1, 5), (0, 3), (1, 1) (2, 3)
Answer: exponential function
Step-by-step explanation:
Graph it.
You will see that the ordered pairs make the shape of a sideways "S."
Linear functions are straight lines and quadratic functions are "U" or upside-down "U" shaped curves. Exponential functions can have multiple curves like including a sideways "S" shape, so it is exponential.
Can someone help me? It's urgent and thank you!
Answer:
d = 6
Step-by-step explanation:
Since the line is horizontal then the distance from B to C is the distance between the x- coordinates.
d = | - 3 - 3 | = | - 6 | = | 6 | = 6
Answer:
option C
Step-by-step explanation:
[tex]distance, d = \sqrt{(x_B- x_C)^2 + (y_B - y_C)^2}[/tex]
[tex]=\sqrt{(-3 -3)^2 + (6 - 6)^2 }\\\\=\sqrt{(-6)^2 + 0 }\\\\=\sqrt{36}\\\\= 6[/tex]
If a = 22 ft, b = 34 ft, and c = 36 ft, what is the area of the backyard?
Answer:
363
Step-by-step explanation:
What i need is help please
Can someone solve this
Answer:
d
Step-by-step explanation:
just took test
Kelli buys a new backpack for $35. There is a 20% discount and a 7% tax. What will be the final cost of the backpack?
Answer:
29.96
Step-by-step explanation:
First find the discount
35 * 20 %
35*.2
7
Subtract the discount from the price
35-7
28
Now find the tax on the new price
28* 7%
28 *.07
1.96
Add the tax to the new price
28+1.96
29.96
1. Romero's Gas-n-Go buys their gas for $1.50 per gollon and marks it up 80%
What is the sale price of Romero's Gas
Answer:
The answer is $2.7
Step-by-step explanation:
The graph of a quadratic equation has x-intercepts at (−5, 0) and (1, 0). Which of the following could be the equation described?
Answer:
Step-by-step explanation:
A triangle has side lengths of (5.5x + 6.2y) cm, (4.3x + 8.3z) cm, and (1.6z - 5.1y) cm. Which expression represents the perimeter, in centimeters, of the triangle?
Answer:
9.8x+1.1y+9.9z
Step-by-step explanation:
Hi there!
Perimeter = Sum of all sides
[tex]P=(5.5x + 6.2y)+(4.3x + 8.3z)+(1.6z - 5.1y)[/tex]
Open up the parentheses
[tex]P=5.5x+6.2y+4.3x+8.3z+1.6z-5.1y[/tex]
Combine like terms
[tex]P=5.5x+4.3x+6.2y-5.1y+8.3z+1.6z\\P=9.8x+1.1y+9.9z[/tex]
Therefore, the expression 9.8x+1.1y+9.9z (cm) best represents the perimeter of the triangle.
I hope this helps!
Answer:
answer is c
Step-by-step explanation:
slecet the correct answer
Answer:
b
Step-by-step explanation:
algebra
huh still difficult and will always be.
Someone just...…..
please help me to figure out this
Answer:
[tex]z = 6[/tex]
Step-by-step explanation:
Let's solve:
[tex]5(z+1)=3(z+2)+11[/tex]
Step 1: Simplify both sides of the equation.
[tex]5(z+1)=3(z+2)+11 \\ (5)(z)+(5)(1)=(3)(z)+(3)(2)+11(Distribute) \\
5z+5=3z+6+11 \\
5z+5=(3z)+(6+11)(Combine Like Terms) \\
5z+5=3z+17 \\
5z+5=3z+17[/tex]
Step 2: Subtract 3z from both sides.
[tex]5z+5−3z=3z+17−3z \\ 2z+5=17[/tex]
Step 3: Subtract 5 from both sides.
[tex]2z+5−5=17−5 \\ 2z=12[/tex]
Step 4: Divide both sides by 2.
[tex] \frac{2z}{2} = \frac{12}{2} \\ z = 6[/tex]
There were 14 dogs adopted from the animal shelter last week. This week, 8 dogs were adopted .There are 5 dogs left. How many dogs, d, did the shelter have for adoption?
Answer:
d=27
Step-by-step explanation:
A total of 14+8=22 dogs were adopted. Since there are 5 left, there were 22+5=27 dogs up for adoption.
A business had a profit of $42,000 in 1994.
Then its profit decreased by 8% cach ycar
for 6 years. How much did the business
earn in 2000?
round to the nearest ten i dont get it
Answer:
130
Step-by-step explanation:
instead of 132 round to the nearest 10 so its 130
Answer:
130
Step-by-step explanation:
i need all the questions and where is says to explain I need you to explain, it's pythagorean theorem, plsssss help me
Answer:
Step-by-step explanation:
sams house=6 miles east and 9 mies south
let the distance towards east be a and distance towards south be b
so we have to find straight line distance from sams house to amys house .let it be c(or hypotenuse)
according to the pythagors theorem
a^2 + b^2 =c^2
6^2 + 9^2 =c^2
36 + 91 =c^2
117 =c^2
[tex]\sqrt{117[/tex] =c
10.8=c
the two coordinate points are
(4,12)=(x1 , y1)
(6,2)=(x2 , y2)
distance formula = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]
=[tex]\sqrt{(6-4)^2 + (2-12)^2}[/tex]
=[tex]\sqrt{2^2 + (-10)^2}[/tex]
=[tex]\sqrt{4 + 100}[/tex]
=[tex]\sqrt{104}[/tex]
=2[tex]\sqrt{26}[/tex]
=10.1 units
fairy travels=10.1 * 2
=20.2 miles
three sides are 17,8,15
according to the pythagoras theorem
to be right angles triangle square of hypotenuse(longest side) must equal to the sum of square of two other smaller sides
so here 17 is longest and 8 and 15 are two other smaller sides of a triangle
17^2=8^2 + 15^2
289=64 + 225
289=289
since both sides are equal it can be concluded that they form a right angled triangle.
Hope this helps u!!
Answer:
1. option b : 10.8 miles
2. Distance = 10.2 units
Distance in miles = 20.4 miles
3. Paulie is correct because the measurements satisfies Pythagoras theorem.
Step-by-step explanation:
1. option b
Let straight line length be x
x² = 6² + 9²
= 36 + 81
= 117
x = 10.8 miles
2.
Current location ( 4 , 12 )
Destination ( 6, 2 )
a)
[tex]Distance = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \\\\[/tex]
[tex]= \sqrt{(4 - 6)^2 + (12 - 2)^2} \\\\= \sqrt{2^2 + 10^2}\\\\=\sqrt{104}\\\\=10.2 \ units[/tex]
b)
Grid (units) Distance( miles)
1 2
10.2 x
[tex]\frac{1}{10.2} = \frac{2}{x}\\\\x = 2 \times 10.2\\x = 20.4 \ miles[/tex]
3.
a)
Square of Longer side = sum of squares of other sides
[tex]17^2 = 8 ^2 + 15^2 \\289 = 64 + 225\\289 = 289 \\[/tex]
Yes, Paulie is Correct.
b)
Paulie is correct because the measurements of the sides of triangle satisfies Pythagoras theorem.
Pythagoras' theorem states that for all right-angled triangles, the square on the hypotenuse is equal to the sum of the squares on the other two sides.
Which of the equations below represents a line perpendicular to the x-axis?
A. X=3
B. X=3y
C. X=y
D. X=-3y
Answer: A. x = 3
This is a vertical line that goes through 3 on the x axis. Two points on this line are (3,0) and (3,1). Any vertical line is perpendicular to the x axis.
If a+b=13, and ab-40, then find a3+b3
Answer:
[tex]637[/tex]
Step-by-step explanation:
Step 1: Set Up System of Equations
[tex]a + b = 13[/tex]
[tex]ab = 40[/tex]
Solve for a in the first equation
[tex]a = 13 - b[/tex]
Subsitur that in for the 2nd equation
[tex](1 3 - b)(b) = 40[/tex]
[tex] - b {}^{2} + 13b = 40[/tex]
[tex] - {b}^{2} + 13b - 40[/tex]
[tex] - (b - 5)(b - 8)[/tex]
Set each monomial to zero
Think of a number that adds to 13 and multiply to 40.
Th
[tex]b = 5[/tex]
[tex]b = 8[/tex]
So the answer is 5 and 8. Remember factos are interchangeable so a and b can be either 8 or 5.
Cubed both 5 and 8.
[tex]5 {}^{3} + {8}^{3} [/tex]
[tex]125 + 512 = 637[/tex]
Find \sin(\beta)sin(β)sine, left parenthesis, beta, right parenthesis in the triangle.
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
\dfrac{15}{8}
8
15
start fraction, 15, divided by, 8, end fraction
(Choice B)
B
\dfrac{8}{17}
17
8
start fraction, 8, divided by, 17, end fraction
(Choice C)
C
\dfrac{8}{15}
15
8
start fraction, 8, divided by, 15, end fraction
(Choice D)
D
\dfrac{15}{17}
17
15
start fraction, 15, divided by, 17, end fraction
Answer:
Its 15/17
Step-by-step explanation:
I did it on Khan
Based on the sine ratio, sin (β) in the right triangle is: D. 15/17.
How to Apply the Sine Ratio?Where the hypotenuse and opposite side lengths are known, the sine ratio is expressed as, sine β = opposite/hypotenuse.
Given the following:
Opposite side = 15Hypotenuse = 17Applying the sine ratio, we have:
sin β = 15/17
Learn more about the sine ratio on:
https://brainly.com/question/2920412
#SPJ6
Eugene has to buy cupcakes for a picnic. He needs to make sure that there are more than 8 cupcakes so each of his friends gets at least one cupcake. If Eugene buys y boxes that each contain 4 cupcakes, which inequality represents this situation?
A.
y < 8
B.
y > 8
C.
4y > 8
D.
4y < 8
Answer:
C
Step-by-step explanation:
4xy=4y
since each friend must get at least a cupcake, 4y must be larger than 8
The regular price of an item at a store is p dollars. The item is on sale for 20% off the regular price. Some of the expressions shown below represent the sale price, in dollars,of the item.Expression A: Expression B: Expression C: Expression D: Expression E: Which two expressions each represent the sale price of the item?AExpression A and Expression EBExpression B and Expression CCExpression B and Expression DDExpression C and Expression D
Answer:
Expression B: 0.8p
Expression D: p - 0.2p
Step-by-step explanation:
The regular price of an item at a store is p dollars. The item is on sale for 20% off the regular price. Some of the expressions shown below represent the sale price, in dollars, of the item.
Expression A: 0.2p
Expression B: 0.8p
Expression C:1 - 0.2p
Expression D: p - 0.2p
Expression E: p - 0.8p
Which two expressions each represent the sale price of the item?
Regular price of the item = $p
Sale price = 20% off regular price
Sale price = $p - 20% of p
= p - 20/100 * p
= p - 0.2 * p
= p - 0.2p
= p(1 - 0.2)
= p(0.8)
= 0.8p
The sale price is represented by the following expressions
Expression B: 0.8p
Expression D: p - 0.2p
A rectangle and a vertical line are shown. If the rectangle is revolved about the vertical line, what is the resulting object?
a rectangle with one side against a vertical line
solid cylinder
hollow cylinder
hollow cone with truncated top
solid cone
Answer:
Preetyy sure its D
Step-by-step explanation:
Its not a hollow cylinder
The resulting object will be a solid cylinder. Then the correct option is A.
What is a solid revolution?When a figure is revolved around some fixed axis, the whole three-dimensional solid formed from the area that it swaps out is called a solid of revolution.
A rectangle and a vertical line are shown. If the rectangle is revolved around the vertical line.
Then the resulting object will be
If the rectangle is rotated about the vertical axis then the resulting shape will be a solid cylinder.
The diagram is shown below.
Learn more about solid of revolution here:
https://brainly.com/question/338504
#SPJ2
7. The government of Mexico declared blue sharks an endangered species. They put tags on 36 blue sharks and released them. Later, they corral 130 blue sharks; among those blue sharks, 20 were tagged. Find the best estimate for the blue shark population?
Answer:
hi everyone is happy with her husband and her
2. What is the equation of the line that passes
through the point (4. – 5) and has slope
Answer:
D. y = 1/2x - 7
Step-by-step explanation:
y = 1/2x + b
-5 = 1/2(4) + b
-5 = 2 + b
-7 = b
The number of hours worked at a factory and the money earned is proportional. If an employee works 40 hours, they will earn $2500. How many hours does the employee work if earn $1500, Explain your reasoning
If -10x – 9y = -7 is a true equation, what would be the value of
-30x – 27y?
Answer:
-30x-27y = -21
Step-by-step explanation:
We know that;
-30x-27y = 3(-10x-9y)
Recall, -10x-9y = -7
Thus; -30x-27y = 3(-7) = -21
What is the range of the given function?
Answer:
you have it on the correct answer
Step-by-step explanation:
range is the y values, and its the lowest negetive to the highest positive
A rectangular prism with a volume of 222 cubic units is filled with cubes with side lengths of \dfrac14
4
1
start fraction, 1, divided by, 4, end fraction unit.
How many \dfrac14
4
1
start fraction, 1, divided by, 4, end fraction unit cubes does it take to fill the prism?
Answer: 128 cubes
Step-by-step explanation:The dimension of the rectangular prism is not given, assumed not important.
Find the volume of 1 cube:
Volume = 1/4 x 1/4 x 1/4
Volume = 1/64 units³
Find the number of cubes that can go into the prism:
Number of cubes = 2 ÷ 1/64
Number of cubes = 128
What process allows your body to cool off on a hot day?
A. insulation
B. evaporation
C. convection
(Ik I put the subject as math it's cuz biology hardly gets any answers)
Answer:
I believe the Answer is B
Answer:
B. evaporation
Step-by-step explanation:
Which is a better estimate for the length of an almond?
a. 3 meters b. 3 centimeters
Answer:
3 centimeters
Step-by-step explanation:
nope
Answer:
[tex]B[/tex]
Step-by-step explanation:
If John can repair one machine every 2 hours, write a function h(n) for the hours needed to repair n machines.
Answer:
h(n) =2n
Step-by-step explanation:
Hope this helps :)
