Hello!
[tex]\large\boxed{\frac{dy}{dx}logx = \frac{1}{xln10} }[/tex]
Recall that:
[tex]logx[/tex] can be rewritten as:
[tex]log_{10}x[/tex]
Use the equation for the derivative of a log expression:
[tex]\frac{dy}{dx}log_{a}u = \frac{1}{ulna} * u'[/tex]
Substitute in the values in the expression:
[tex]logx = \frac{1}{xln10} * 1 = \frac{1}{xln10}[/tex]
Solve forX
9(x + 1) = 25 + x
Ox=2
Ox=3
Ox=4
Ox=5
Answer:
x=2
Step-by-step explanation:
9x+9=25+x
subtract 9 on both sides
9x=16+x
subtract x on both sides
x=2
The solution of equation 9(x + 1) = 25 + x is x =2, which is option A.
What is an equation?An equation is a pair of algebraic equations with the equal sign (=) in the middle and the same value.
Given information:
The equation is 9(x + 1) = 25 + x.
To solve for x, we need to isolate x on one side of the equation.
9(x + 1) = 25 + x
First, we can distribute the 9:
9x + 9 = 25 + x
Next, we can simplify by subtracting x and 9 from both sides:
8x = 16
Finally, we can solve for x by dividing both sides by 8:
x = 2
Therefore, the solution is x = 2.
To learn more about the equation;
https://brainly.com/question/12788590
#SPJ7
Jayson can make 4/5 of a 5 layers cake in 15 minutes. At this rate, how many cakes can Jayson make in 1 hour?
Answer:
3.2 cakes a hour
Step-by-step explanation:
plz somebody help me i’ll give you 40 points
Answer:
-3+-2
Step-by-step explanation:
ZA and ZB are complementary angles. If m_A= (7x + 28)° and m
ZB = (8x + 2)°, then find the measure of ZA.
Answer:
mA=56 degrees
Step-by-step explanation:
Complementary angles adds up to 90 degrees. This imply that
[tex](7x+28)+(8x+2)=90[/tex]
From this equation, we can find x:
[tex]15x+30=90\\15x=90-30\\15x=60\\x=\frac{60}{15}\\x= 4[/tex]
Now, we can substitute the value for x into the angle mA:
[tex]mA=(7*4+28)\\mA=(28+28)\\mA=56[/tex]
SOMEONE PLEASE HELP ME!! WHOEVER ANSWERS FIRST WILL GET BRAINLIEST!!
Answer:
12 miles in one hour
Step-by-step explanation:
60 minutes in an hour
60/15= 4
4*3=12
pls help this is not graded
Answer:
70 degrees
Step-by-step explanation:
What is the value of y in the solution to this system of equations?
y=3-2x/2
4x-6y=36
Answer:
idekqwarwera
Step-by-step explanation:
the sum of three consecutive multiples of 24 is 288 find these multiples
plzz solve these question now
click on the picture attached to get the answer
hope it helps!
..........
Two ships leave the port at 12 noon. Ship A is traveling at the bearing of 146 at 20 miles per hour, and ship B travels at a bearing of N32 E at 28 miles per hour. Approximate how far apart ships are at 3 PM. At what bearing ship A is from ship B at 3 PM.
Answer: [tex]d = 103.23 miles[/tex] apart.
Step-by-step explanation:
given data:
ship a = 20miles. = 60miles
ship b = 28miles. = 84miles
time interval = 3hrs.
θ = 90
[tex]d = \sqrt{a^{2}+b^{2}-2ab (cos90) }[/tex]
[tex]d = \sqrt{60^{2}+84^{2}-2(60)(84) *(cos90) }[/tex]
[tex]d = \sqrt{3600+7056-10080*(cos90) }[/tex]
[tex]d = \sqrt{10656-10080*(cos90) }[/tex]
[tex]d = \sqrt{10656-0[/tex]
[tex]d = \sqrt{10656[/tex]
[tex]d = 103.23 miles[/tex]
find the coordinates of the centroid of the triangle with the given vertices. D(-4, -2), E(1, 0), F(9, 5)
Answer:
[tex] (x, y) = (2, 1) [/tex]
Step-by-step explanation:
Given vertices of a triangle:
[tex] (x_1, y_1) = (-4, -2) [/tex]
[tex] (x_2, y_2) = (1, 0) [/tex]
[tex] (x_3, y_3) = (9, 5) [/tex]
Using the centroid formula:
[tex] (x, y) = (\frac{x_1 + x_2 + x_3}{3}, \frac{y_1 + y_2 + y_3}{3}) [/tex]
Plug in the values into the formula
[tex] (x, y) = (\frac{-4 + 1 + 9}{3}, \frac{-2 + 0 + 5}{3}) [/tex]
[tex] (x, y) = (\frac{6}{3}, \frac{3}{3}) [/tex]
[tex] (x, y) = (2, 1) [/tex]
predict whether the product is greater than, less than, or equal to 7/10. What is the product? 10/10 x 7/ 10
Answer:
7/10 *10/10 is 70/100 or 7/10 so equal
Step-by-step explanation:
the product is 7/10.
it is 10/10which simplifies to 1(divide by 10)
so it wouldn't change
Hope this helsp zpl hit hte crown :D
3x+7+10x=7+13x+10 has {fill in blank} solutions.
-6x-6+8x=-5+2x-1 has {fill in blank} solutions.
choices for both are
infinitely many,one,two,three
Answer and Step-by-step explanation:
3x + 7 + 10x = 7 + 13x + 10
13x + 7 = 13x + 17
0 = 10
No solutions
-6x -6 + 8x = -5 + 2x -1
2x - 6 = -6 + 2x
0 = 0
Many solutions.
The first equation has no solutions.
The second equation has infinitely many solutions.
#teamstrees #WAP (Water And Plant)
Answers:
1. No solutions
2. Infinitely many solutions
Step-by-step explanation:
[tex]3x+7+10x=7+13x+10[/tex]
Add common terms from both sides of the equation (10x and 3x) & (7 and 10)
[tex]13x+7=17+13x[/tex]
Subtract common terms from both sides (13x and 13x)
[tex]7\neq 17[/tex]
7 does not equal 17; thus, there are no solutions
[tex]-6x-6+8x=-5+2x-1[/tex]
Add common terms from both sides of the equation (-6x and 8x) & (-5 and -1)
[tex]2x-6=-6+2x[/tex]
Reorder the right side of the equation
[tex]2x-6=2x-6[/tex]
Since this is a true statement, there are infinitely many solutions
Mr. Alcazar bakes cookies in batches of 60 and batches of 90. If he bakes 6 batches of 60 cookies,
how many cookies does he bake?
A. 60 cookies
B. 90 cookies
C. 360 cookies
D. 3,600 cookies
Answer:
360 cookies
Step-by-step explanation:
60 times 6= 360
Find the value of the following expression:
(28 ⋅ 3−5 ⋅ 60)−2 ⋅ 3 to the power of negative 2 over 2 to the power of 3, whole to the power of 4 ⋅ 228 (5 points)
Write your answer in simplified form. Show all of your steps.
Answer:
9Step-by-step explanation:
(2⁸ ⋅ 3⁻⁵ ⋅ 6⁰)⁻² ⋅ (3⁻²/2³)⁴ ⋅ 2²⁸ =2⁻¹⁶·3¹⁰·3⁻⁸·2⁻¹²·2²⁸ =2⁻¹⁶⁻¹⁰⁺²⁸ · 3¹⁰⁻⁸ =2⁰ · 3² =1 · 9 =9How is counting by 100 and 1,000 like counting by 1 and 10?
Answer:
it just takes longer
Step-by-step explanation:
you count by 1 from 100 until 1000
Answer:
It just take more time.
Step-by-step explanation:
The more 0's the more you count
I have 86 chocolate chip cookies and 42 sugar cookies what is the greatest number of identical packages that I can make
Step-by-step explanation:
Given that,
No. of chocolate chip cookies = 86
No. of sugar cookies = 42
We need to find the number of identical packages that I can make.
It means we need to find the HCF of these 2 number.
Prime factorization of 86 and 42 as follows :
86 = 2 x 43
42 = 2 x 3 x 7
HCF = 2
Hence, I can make 2 identical packages.
Answer:
Assuming there can only be 2 cookies per identical package, She can make 42 identical packages which contains 2 chocolate chip cookies and 1 sugar cookie.
86 / 2 = 43 chocolate chips cookies
42 / 1 = 42 sugar cookies
With the sugar cookies not having the capability to match the requirements we will assume for this answer that an "Identical Package" is composed of 2 chocolate chip cookies, and a single sugar cookie.
What is the opposite of the opposite of -1.4?
Answer:
1.4
Step-by-step explanation:
when we add -1.4 and 1.4 we get zero so its the opposite
Chris spending some of his birthday money on art supplies. He spends 1/6 of his money on paint and 2/3 of his money on markers. What fraction of his birthday money does he have left? (multi-step problem -must dd and subtract)
A. 5/6
B. 3/6
C. 1/2 (wrong)
D. 1/6
Complete this division sentence.
9988 + 23 =
R
Correct question is;
Complete this division sentence.
9988 ÷ 23 = R
Answer:
9988 ÷ 23 = 434 R 6
Step-by-step explanation:
....... 434
_________
23|9988
......92
¯¯¯¯¯¯¯¯¯¯¯
........ 788
.........69
¯¯¯¯¯¯¯¯¯¯
........... 98
............92
¯¯¯¯¯¯¯¯¯¯¯
............. 6
Thus ; 9988 ÷ 23 = 434 R 6
Solve to find the area:
Answer:
16cm^2
Step-by-step explanation:
well if you multiply 4 x 8 to find the area it would be 32 but it is a triangle so divide 32 by 2 to get 16
Answer:
16 cm²
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Area of a Triangle: A = 1/2bhStep-by-step explanation:
Step 1: Define
Base b = 8 cm
Height h = 4 cm
Step 2: Find A
Substitute [Area]: A = 1/2(8 cm)(4 cm)Multiply: A = (4 cm)(4 cm)Multiply: A = 16 cm²The length of a rectangle is 5.9 cm more than 3 times the width. If the perimeter of the rectangle is 57.4cm, what are it's dimensions.
Answer:
l = 23 cm and w = 5.7 cm
Step-by-step explanation:
Perimeter = twice the length plus twice the width
let w = width
let l = length
l = 5.9 + 3w
57.4 = 2(5.9 + 3w) + 2w
57.4 = 11.8 + 6w + 2w
57.4 = 11.8 + 8w
45.6 = 8w
w = 5.7
Substitute 5.7 for 'w' to get 'l':
l = 5.9 + 3(5.7)
l = 23
Find the values of a and b so that the linear system has the given solution.
Given Solution: (2, 1)
Equation 1: ax - by'= 4
Equation 2: bx - ay = 10
Answer:
a = 6, b = 8
Step-by-step explanation:
given (2,1)
2a - 1b = 4
-1a + 2b = 10
this gives us:
a + b = 14
solve for a
a = 14 - b
plug into first equations
2(14-b) - b = 4
28 - 2b - b = 4
28 - 3b = 4
24 = 3b
b = 8
now plug b back into your equation for a, and you get:
a = 14 - 8
a = 6
Can someone help me ASAP !?
Answer:
1/6
Step-by-step explanation:
2 is 1/6th of 12
5 is 1/6th of 30
Answer:
C.) 6
Step-by-step explanation:
I multiplied the number 2 by X and my sum was Y.
In a car race, for every mile covered by car A, car B covered 4 miles. The ratio of the number of miles covered by car A to the number of miles covered by car B is ___.
Real answer please
You are given two algebraic equations, y = 3x, and 2y = x + 20. Solve for x and y.
Answer:
x= -4 & y=-12
Step-by-step explanation:
multiply y=3x by 2
giving you 2y=6x
subtracting 2y=x+20 from 2y =6x
=> 5x=-20
dividing through by 5
=> x=-4
put x=-4 into y=3x
=> y=3(-4)
y=-12
Two adjacent sides of a parallelogram are 7cm and 10cm respectively.Find its perimeter
Answer:
[tex]Perimeter = 34cm[/tex]
Step-by-step explanation:
Given
Represent the adjacent sides with A and B
[tex]A= 7cm[/tex]
[tex]B = 10cm[/tex]
Required
Determine the perimeter
The perimeter is calculated as follows;
[tex]Perimeter = 2 * (L + B)[/tex]
[tex]Perimeter = 2 * (7cm + 10cm)[/tex]
[tex]Perimeter = 2 * (17cm)[/tex]
[tex]Perimeter = 2 * 17cm[/tex]
[tex]Perimeter = 34cm[/tex]
the length of 2 wires are in the ratio 5:14 .if the 2 wires are joined together ,what is the ratio of the length of each piece of wire to the total length ?
Answer:5:19 and 14:19
Step-by-step explanation:
If wire 1 is 5 units long and wire 2 is 14 units long, when joined together they will be a total of 19 units long.
anser fast 2.3 x (−1.2)= what for 79 points
Step-by-step explanation:
2.3 * (-1.2)
= -2.76.
Hence the answer is -2.76.
Answer:
[tex]\Large \boxed{\sf -2.76}[/tex]
Step-by-step explanation:
8+6t-3t+t
I’ll mark brainliest and 10 points I need ASAP
Answer:
8+4t
Step-by-step explanation:
combine 3t and t then do 6t - 4t getting 8+4t
What is -2 2/3 divide by -1/2
Answer:
16/3
Step-by-step explanation:
Answer:
5 1/3
Step-by-step explanation:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
−8/3 ÷ −1/2
Applying the fractions formula for division,
=−8×2/3×−1
=−16/−3
Simplifying -16/-3, the answer is
=5 1/3
