A. 5°
B. 35°
C. 31°
D. 7°
Answer:
(2x +30) and (3x -5) (they're opposite to eachother, so they're equal)
2x + 30 = 3x - 5 (set them equal to eachother, then subtract 3x from both side)
-1x = -35 (divide both sides by -1 to isolate x)
x = 35 or B (this is your answer)
Step-by-step explanation:
I hope this helps :))
derivative by first principle logsecx²
Answer:
[tex]\displaystyle \frac{d}{dx}[\log \big( \sec (x^2) \big)] = \frac{2x \tan x^2}{\ln 10}[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationBasic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Derivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle y = \log \big( \sec (x^2) \big)[/tex]
Step 2: Differentiate
Logarithmic Differentiation [Derivative Rule - Chain Rule]: [tex]\displaystyle y' = \frac{(\sec x^2)'}{\ln (10) \sec x^2}[/tex]Trigonometric Differentiation [Derivative Rule - Chain Rule]: [tex]\displaystyle y' = \frac{\sec x^2 \tan x^2 (x^2)'}{\ln (10) \sec x^2}[/tex]Simplify: [tex]\displaystyle y' = \frac{\tan x^2 (x^2)'}{\ln 10}[/tex]Basic Power Rule: [tex]\displaystyle y' = \frac{2x \tan x^2}{\ln 10}[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
Question Progress
Homework Progress
23/ 47 Marks
8296
Expand and simplify (x + 2)(x + 1)
Expanding and Simplifying - Double Set of Br View One Minute Version
Overview
A recipe calls for 2/3 cup of sugar per batch. Elena used 5 1/3 cups of sugar to make several batches of cookies. How many batches of cookies did she make?
Answer:
8 batches
Step-by-step explanation:
To get the number of batches she made, we can just use proportion to solve it. But first, we need to convert 5 1/3 to improper fraction
5 1/3 = 16/3Then we can now use the proportion to solve
2/3 cups = 1 batch
16/3 cups = x (note:5 1/3=16/3)
cross multiply
2/3 × x = 16 /3
2x/ 3 = 16/3
we need to make x the subject of the formula, to do that we will multiply each side of the equation by 3/2
2/3 × 3/2 x = 16/3 × 3/2
6x /6 = 48 / 6
x = 8
Therefore she made 8 batches of cookies.
A pudding recipe for 50 people calls for 4 cups of suger. Each bag contains 6 cups of suger how many bags of suger will be needed to make this recipe for 300 people?
Answer:
4 bags
Step-by-step explanation:
50 people = 4 cups
300 people = 24 cups
24 cups ÷ 6 cups a bag = 4 bags
The bags of sugar that will be needed to make this recipe for 300 people will be 4 bags.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
A pudding recipe for 50 people calls for 4 cups of sugar. The ratio of the number of cups of sugar to the number of people. Then we have
Rate = 4 / 50
Rate = 2 / 25 cups per person
If the number of people is 300. Then the number of cups of sugar will be given as,
⇒ (2/25) x 300
⇒ 24 cups
The number of bags of sugar is given as,
⇒ 24 / 6
⇒ 4 bag
The sacks of sugar that will be expected to make this recipe for 300 individuals will be 4 packs.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
#SPJ2
what is the gcm of -4 and 6?
Answer:
Step-by-step explanation:
We will first find the prime factorization of 4 and 6. After we will calculate the factors of 4 and 6 and find the biggest common factor number .
Step-1: Prime Factorization of 4
Prime factors of 4 are 2. Prime factorization of 4 in exponential form is:
4 = 22
Step-2: Prime Factorization of 6
Prime factors of 6 are 2, 3. Prime factorization of 6 in exponential form is:
6 = 21 × 31
Step-3: Factors of 4
List of positive integer factors of 4 that divides 4 without a remainder.
1, 2
Step-4: Factors of 6
List of positive integer factors of 6 that divides 4 without a remainder.
1, 2, 3
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 4 and 6. The biggest common factor number is the GCF number.
So the greatest common factor 4 and 6 is 2.
Answer: 2 the gcm of -4 and 6 is two
A 16 ft tall adult giraffe standing next to a
baby giraffe casts a 8 ft shadow. If the
baby giraffe is 6 ft tall, then how long is
its shadow?
Answer:
The shadow is 3 ft tall
Step-by-step explanation:
The older giraffe is 16 ft tall and 8 is half of 16 and 8ft is the length of the shadow so that means that half of the small girafe would be 3ft because half of 6 is 3.
Sorry if its not correct
what is the value of x?
Answer:
it is 10
Step-by-step
The popular online game "Among Us" costs $5.00 to install the game on a computer. Players can pay
$2.00 per item to customize their characters in the game
Write an equation about the situation using the
variables x and
Check
please helpp
I need help on listing the four points that have a distance of 5 from the point B, correct answer I will make brainliest thank you!
Answer:
(0,5) (-5,0) (-5,10) (-10,5)
Step-by-step explanation:
ayooo can somebody help me with my sister's homework?
Answer:
D. y = 1/2x + 3
Step-by-step explanation:
y = mx + b
m = slope
b = the y-intercept
To find the slope we can do rise over run or y/x
r/r = 1/2
The slope is 1/2
To find the y-intercept, is where the line hits the y axis which is at.....
3
So...
y = 1/2x + 3
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Answer:
D
Step-by-step explanation:
the answer is D because the line starts and three and rises 1 and over 2. its not negative because the line goes up
Which is the smallest?
(a) -1,
(b) -1/2,
(c) 0,
(d) 3.
Answer:
i think the answer is -1/2 tho hopefully it is
Answer:
The smallest is -1
Step-by-step explanation:
-1 is the smallest because all the others are greater.
Lets say -1 and -3
-3 is the smallest because when you have negatives the number closer to zero in the negative side will always be bigger than a negative number farther from zero.
10 points please help
D is 12.5% if you were wondering I really need help
Answer:
b 15% light green is the correct answer
Answer:
D - 12.5%
Step-by-step explanation:
Please mark me brainliest
there are some peanuts and Almonds in a packet .the proportion of peanut is 2/3 of the total number of nuts in the packet
Answer:
24
Step-by-step explanation:
You add the amount of packets of almonds and walnuts. You would get 34, and then you take 10 away and now you are left with 24.
I hope this helps you.
A giraffe is 5 meters 20 centimeters
slope = -5, y - intercept = 1
I need to write this in slope intercept form
Answer:
y=-5x+1
Step-by-step explanation:
Slope intercept form is y=mx+b
m is the slope
b is the y-intercept
Plug the slope and intercept you were given in and you get the equation of the line in slope intercept form
y=-5x+1
Jamal buys 33 bolts that cost $0.38 each.
Part A
Which equation represents the best estimate for the total cost of all of the bolts?
Answer: Jamal buys 33 bolts that cost $0.38 each.
Which equation represents the best estimate for the total cost of all of the bolts?
$0.40 × 30 = $12
Step-by-step explanation: $0.40 × 30 = $12 searched it up
$12.54
Step-by-step explanation:
because 33×0.38= $12.54
Michelle is three times as old as Fiona. Fiona is twice as old as Madeline. Madeline is five years old. How old is Michelle?
15 years old
13 years old
30 years old
10 years old
Answer:
Michelle is 30 y/o
Step-by-step explanation:
Answer:
Michelle is 30 yrs old
Step-by-step explanation:
PLEASE HELP ITS DUE TODAYYYYYY
Answer:
80 degrees
Step-by-step explanation:
type the equation of a line that has the following properties.
contains the points (-3,5) and (-1,6)
Answer:
y=1/2x + 13/2
A 2-column table with 3 rows titled Units of Weight. Column 1 is labeled Customary System Units with entries 1 ounce, 1 pound, 1 ton. Column 2 is labeled Metric System Units with entries 28.35 grams, 0.45 kilograms, 907.2 kilograms.
How many kilograms are equivalent to 5 pounds?
1.13 kg
2.25 kg
5.67 kg
11.05 kg
Answer:
2.25kg
Step-by-step explanation
Answer:
141.75
Step-by-step explanation:
sam and megan share skittles in a ratio of 4:1. if there are 75 skittles in a large bag, how many do they each get?
Answer:sam gets 60 megan gets 15
I added ratio terms to get 5 then divided it up 75/5 =15
Then did 4x : x
Step-by-step explanation:
The area of a rectangle is 226.2 m2. If the length is 15m, what's the perimeter of the rectangle ?
Answer: P=60.16m
Step-by-step explanation:
Naomi is a sales person. She sold a calculator for $86 and earned 20% commission. How much commission did Naomi earn?
Answer:
$17.20
Step-by-step explanation:
Total commission = cost x percent commission rate
86 x 20 % = 17.20
Total commission = $17.20
Given f(x)=5/2x+7,if f(x)=-13 find x
pls show work
Answer:
x=-25.5
Step-by-step explanation:
5/2(-13) +7=-25.5
Answer:
The value of x = -1/8
Step-by-step explanation:
Given
[tex]f\left(x\right)=\frac{5}{2x}+7[/tex]
[tex]f(x)=-13[/tex]
To determine
The value of x = ?
Using the function
[tex]f\left(x\right)=\frac{5}{2x}+7[/tex]
substituting f(x) = -13 in the function
[tex]-13=\frac{5}{2x}+7[/tex]
Subtract 7 from both sides
[tex]-13-7=\frac{5}{2x}+7-7[/tex]
Simplify
[tex]-20=\frac{5}{2x}[/tex]
Multiply both sides by 2x
[tex]-20\cdot \:2x=\frac{5}{2x}\cdot \:2x[/tex]
Simplify
[tex]-40x=5[/tex]
Divide both sides by -40
[tex]\frac{-40x}{-40}=\frac{5}{-40}[/tex]
[tex]x=-\frac{1}{8}[/tex]
Therefore, the value of x = -1/8
Find the length of the third side to the nearest tenth
7
1
Answer:
10.7
Step-by-step explanation:
this is the question
Hey there!
The answers to your question are C, D, and E
If there are repeats in the X column, then it's not a function. If there are no repeats, then it is! If there are repeats in the Y column, that's ok, but there cannot be repeats in the X column.
Hope this helps! If you need any other help, just tell me!
PLEASE I HAVE 10 min to FINISH I NEED HELP
Answer:
A. hope this helps
brainly Some students were measuring the volume of a cube shaped wooden block. They measured the length to be 5.08 cm, the width to be 5.09 cm, and the height to be 5.10 cm. The actual volume of the block was 15.3 cm3. What was their percent error
Answer:
762%
Step-by-step explanation:
Volume of a cube = s³
Volume of the cube is then
V = 5.08 * 5.09 * 5.1
V = 131.87 cm³
Percentage errors are calculated by the formula
%E = (V.a - V.e)/V.e * 100%, where
%E = percentage error
V.a = actual volume
V.e = expected volume
%E = (131.87 - 15.3) / 15.3 * 100%
%E = 116.57 / 15.3 * 100%
%E = 7.62 * 100%
%E = 762%
Therefore, the percentage error is a whooping 762% which is a whole lot!