If f(x) = 2x - 1, find f'(x).
Answer:
f'(x)=2
Step-by-step explanation:
[tex]if~y=ax^n\\where~a~is~constant.\\\frac{dy}{dx} =a nx^{n-1}\\f(x)=2x-1\\f'(x)=2*1x^{1-1}-0\\=2x^0\\=2*1\\=2[/tex]
[tex] {10}^x = 5[/tex]
What is x?
×= 5/log 10 ^10
x= In 5
x=log 10^5
x=1/2
Answer:
below
Step-by-step explanation:
10ˣ = 5
applying log to both sides
xlog 10 = log5
x = 0•699
At Shimla, the temperature was -14°C on Monday and then it dropped by 2°C on Tuesday. What was the temperature of Shimla on Tuesday?
Answer:
-14-2= -16
I hope it helps :)
Need some assistance please
Answer:I hope this could help !ut the answer is 4
Step-by-step explanation:
2 of them left so there are 4 left
Please help thanks! Brainliest
[tex]5[/tex] ✅
Step-by-step explanation:
[tex]14 + {6}^{2} \div ( - 4) \\ \\ \: = 14 + \frac{6 \times 6}{ - 4} \\ \\ \: = 14 - \frac{36}{4} \: \\ \\ = 14 - 9 \\\\ \: = 5[/tex]
Note:-
[tex]\sf\purple{BODMAS\: rule.}[/tex]
B = Brackets
O = Orders
D = Division
M = Multiplication
A = Addition
S = Subtraction
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]
Answer:
12.5
Step-by-step explanation:
14+6²÷(-4)
=14+6×6÷(-4)
=14+36÷(-4)
=50÷-4
=12.5
the sum of two integers is 310. if one of them is - 52. find the other
Answer:
Integer = 362
Step-by-step explanation:
Let the two integers be x and y
Sum of two integers, x + y = 310 ------(1)
Given one of the integer, Let x = -52
Substitute x = -52 in (1) ,
-52 + y = 310
y = 310 + 52
y = 362
the expanded form of 6,398 is
Answer:
The expanded form of 6,398 is 6000 + 300 + 90 + 8
Bab need someone who can do quick mafs please!
Answer:
18.9 km²
Step-by-step explanation:
Formula for area of a triangle: [tex]\frac{1}{2}bh[/tex]
0.5(7 × 5.4) = 18.9 km²
Answer:
A = 1/2 bh
1/2 x 7 x 5.4
= 18.9km2
write an equivalent logarithmic equation for e^x=24
Answer:
x=ln 24
Step-by-step explanation:
e^x=24
If we take the ln of both sides
ln e ^x= ln 24
x=ln 24
Bab needs help please!
Answer:
282.6 in³
Step-by-step explanation:
Volume = area circle * height
Area circle = πr²
Area circle = 3.14 * 9 = 28.26
28.26 * 10 = 282.6 in³
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Use the grouping method to express the polynomial below as product of its factors. Write each factor as a polynomial in descending order. x(5x-8)-3(5x-8)
Answer:
(5x-8)(x-3)
Step-by-step explanation:
The factor of this equation is 5x-8
So, after the factorization is (5x-8)(x-3)
Andres went out to a restaurant for dinner. His total bill before tax and tip was $27.30. He was charged an additional 9% tax and he also paid a 15% tip on the original bill.
Answer:
$25.66
Step-by-step explanation:
Given data
Total Bill before tax and tip= $27.30
Tax= 9%
Tip= 15%
Let us find the tax
=9/100*27.30
=0.09*27.30
=$2.457
Let us find the tip
=15/100*27.30
=0.15*27.30
=$4.095
Therefore his bill after tax and tip is
=27.30+2.457-4.095
=$25.66
Can you please help and I will mark brainliest if its correct
Step-by-step explanation:
diamonds and hearts are red cards
spades and clubs are black cards
15+11=26
26/52 is the probability of selecting a black card, 50%
WHAT IS FOURTH OFR 17%
Im not sur eabout this but i think it mean that 17% is like0.98_08
Help me I don't know any
Answer:
25%
Step-by-step explanation:
(a)
We need to express in percent 8 as a percent of 32.
We have,
Numerator = 8
Denominator = 32
Percent,
[tex]P=\dfrac{8}{32}\times 100\\\\=25\%[/tex]
Hence, the required percentage is 25%.
Decrease 80ml by 40%
Answer:
48ml
because its the correct answer!
Answer:
48 ml
Step-by-step explanation. 80, percentage decreased by 40% (percent) of its value = 48
For an afternoon flight, the cost of a premiunm ticket is reduced from $114 to $96.90
Calculate the percentage reduction in the cost of a ticket
Answer:
out of the 100% they took away 15% leaving u with 85% to pay I think, sorry if I'm wrong
The answer to this maths question
Given:
Toilet rolls com in packs of 4 and 9.
4-pack is priced at £2.04.
9-pack is priced at £4.68.
To find:
The pack that has better value by calculating the price per roll.
Solution:
We have, the 4-pack is priced at £2.04.
So, the price per roll for this pack is:
[tex]\dfrac{2.04}{4}=0.51[/tex]
In the pack of 4 rolls the price per roll is £0.51.
It is given that, the 9-pack is priced at £4.68.
So, the price per roll for this pack is:
[tex]\dfrac{4.68}{9}=0.52[/tex]
In the pack of 9 rolls the price per roll is £0.52.
Since the price per roll in the pack of 4 rolls is less that the price per roll in the pack of 9 rolls because 0.51 < 0.52, therefore the pack of 4 rolls has better value.
If Andrea traveled 300 miles in 5 hours at what rate was she driving?
Answer:
60
Step-by-step explanation:
[tex]\frac{300}{5}[/tex]
60
Hence, 60 is the answer
Answer:
60 mph
Step-by-step explanation:
For this problem, we are looking at the rate, miles per hour. We know that Andrea traveled 300 miles in 5 hours, but how many miles did she travel in one hour? Let's do the math:
[tex]300[/tex]÷[tex]5=60[/tex] miles.
So, in one hours, Andrea travels 60 miles. We get the rate, 60mph.
Andrea was driving at 60 mph.
I hope this helps! Please let me know if you have any questions :)
Lisa invested $2500 in a bank account. The account has an annual interest rate of 3.5%. How much money will be in the account after 15 years? Use the formula A(t) = P*e^rt to solve the problem. (round to the nearest hundredth)
Answer:
A = $ 4188.38
Step-by-step explanation:
A= $2500
r = 3.5% = 0.035
t = 15years
n = 1
[tex]A = P(1 + r)^t[/tex]
[tex]= 2500 ( 1 + 0.035)^{15}\\\\= 2500 (1.67535)\\\\= \$ 4188.38[/tex]
I need help understanding how to answer this question:
List the sides in order from the smallest to the largest.
a 25% tip was payed on a 30$ meal what is the amount of the tip
Answer:
$7.50
Step-by-step explanation:
30 x 0.25= 7.50
Copy and complete. Answer: (a) Increased by % (b) Increased by % (c) Decreased by % (d) Decreased by % (e) Increased by % (f) Decreased by %
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete; However, one can deduce from the options that the question refers to percentage change.
I will give two illustrations that shows how to calculate percentage change.
Illustration 1
Consider goods x with the following price change.
[tex]Old = \$45[/tex]
[tex]New = \$55[/tex]
The percentage change is:
[tex]\%Change = \frac{New - Old}{Old} * 100\%[/tex]
[tex]\%Change = \frac{55-45}{45} * 100\%[/tex]
[tex]\%Change = \frac{10}{45} * 100\%[/tex]
[tex]\%Change = \frac{1000}{45} \%[/tex]
[tex]\%Change = 22.22\%[/tex]
This means there is a 22.22% increase
Illustration 2
Consider goods x with the following price change.
[tex]Old = \$45[/tex]
[tex]New = \$35[/tex]
The percentage change is:
[tex]\%Change = \frac{New - Old}{Old} * 100\%[/tex]
[tex]\%Change = \frac{35-45}{45} * 100\%[/tex]
[tex]\%Change = \frac{-10}{45} * 100\%[/tex]
[tex]\%Change = -\frac{1000}{45} \%[/tex]
[tex]\%Change = -22.22\%[/tex]
The negative sign indicates percentage decrease
So, this means there is a 22.22% decrease
Find the circumference
Answer:
75.36 mi
Step-by-step explanation:
Given :-
Radius = 12 mi .We know :-
→ Circumference = 2 π r
→ C = 2 * 3.14 * 12 mi
→ C = 75.36 mi
Answer:
Step-by-step explanation:
circumference of a circle=2πr
=2*3.14*12
=24*3.14
=75.36 mi
According to a 2016 survey, 6 percent of workers arrive to work between 6:45 A.M. and 7:00 A.M. Suppose 300 workers will be selected at random from all workers in 2016. Let the random variable W represent the number of workers in the sample who arrive to work between 6:45 A.M. and 7:00 A.M. Assuming the arrival times of workers are independent, which of the following is closest to the standard deviation of W?
A. 0.24
B. 4.11
C. 4.24
D. 16.79
E. 16.92
Answer: B. 4.11
Step-by-step explanation:
Using Binomial distribution ( as the arrival times of workers are independent).
Formula for standard deviation: [tex]\sqrt{{p(1-p)}{n}}[/tex], where p= population proportion, n= sample size.
As per given ,
p= 0.06, n=300
Required standard deviation= [tex]\sqrt{0.06\left(1-0.06\right)300}[/tex]
[tex]=\sqrt{(0.06)(0.94)(300)}\\\\=\sqrt{16.92}\approx4.11[/tex]
Hence, the correct option is B.
If A and B are (-2,-2) and (2,-4). Find the coordinates P such that AP=3/7 AB and P lies on the line segment ab
Answer:
The coordinates of point P are [tex](-\frac{2}{7}, -\frac{20}{7})[/tex].
Step-by-step explanation:
Point P:
The coordinates of point P are (x,y).
AP=3/7 AB
So
[tex]P - A = \frac{3}{7}(B-A)[/tex]
We apply this both for coordinate x and coordinate y.
Coordinate x:
[tex]x - (-2) = \frac{3}{7}(2 - (-2))[/tex]
[tex]x + 2 = \frac{12}{7}[/tex]
[tex]x = \frac{12}{7} - 2 = \frac{12}{7} - \frac{14}{7} = -\frac{2}{7}[/tex]
Coordinate y:
[tex]y - (-2) = \frac{3}{7}(-4 - (-2))[/tex]
[tex]y + 2 = -\frac{6}{7}[/tex]
[tex]y = -\frac{6}{7} - 2 = -\frac{6}{7} - \frac{14}{7} = -\frac{20}{7}[/tex]
The coordinates of point P are [tex](-\frac{2}{7}, -\frac{20}{7})[/tex].
Solve for x. assume that lines which appear tangent are tangent. x=
Answer:
x = 8
Step-by-step explanation:
The product of the length of the exterior segment of a secant and the length of the secant is equal to the correpsonding operation with the other secant.
9(9 + 11) = 10(10 + x)
180 = 100 + 10x
10x = 80
x = 8
Please help asap thanks
Find three consecutive even integers such that the product of the second and
third integers is equal to 35.
Step-by-step explanation:
first number=x
second number=x+2
third number=x+4
(x+2)(x+4)=35
x(x+4)+2(x+4)=35
x²+4x+2x+8=35
x²+6x+8=35
x²+6x=35-8
x²+6x=33
x²+6x-33=0
using that, you can find the first number,
then use the data to find the other two.
Can you guys help me find the answer
Answer:
Step-by-step explanation:
Start by looking at the face that is closest to the bottom left. It is a hexagon and it makes 1 face.
It is connected to a similar hexagon on the upper right by 6 tiles. So that adds 7 more faces.
The total is 2 hexagons + 6 rectangles = 8 faces.
