Answer:
what
Step-by-step explanation:
Which expression is equivalent to-6(-2/3+2x)
A.-4-12x
B.- 4+2x
C. 4-12x
D. 4 + 12x
Answer:
4-12x
Step-by-step explanation:
-6(-2/3 + 2x)
Expand the bracket
12/3 - 12x
4 - 12x
Answer:
The Answer is C
please help i have more questions btw
Answer:
B [tex]1/4^2[/tex] and A [tex]4^1/4^3[/tex]
Step-by-step explanation:
the area of a certain desert is nine times the area of another desert. if the sum of their areas is 30,000,000 sq miles. find the area of each.
APPLICATION
3. Use the first principle of derivatives to determine the equation of tangent to the
curve y = 1/radical7x at
x = 5
Answer:
[tex]\displaystyle y - \frac{\sqrt{35}}{35} = \frac{-\sqrt{35}}{350}(x - 5)[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Coordinates (x, y)
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinatey₁ - y coordinatem - slopeAlgebra II
Exponential Rule [Rewrite]: [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex]Calculus
Derivatives
The definition of a derivative is the slope of the tangent line.Derivative Notation
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Chain Rule: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle y = \frac{1}{\sqrt{7x}} \\x = 5[/tex]
Step 2: Differentiate
[Function] Rewrite: [tex]\displaystyle y = \frac{1}{(7x)^\frac{1}{2}}[/tex][Function] Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle y = (7x)^{-\frac{1}{2}}[/tex][Derivative] Chain Rule [Function]: [tex]\displaystyle y' = \frac{-1}{2}(7x)^{-\frac{1}{2} - 1} \cdot \frac{d}{dx}[7x][/tex][Derivative] Simplify: [tex]\displaystyle y' = \frac{-1}{2}(7x)^{-\frac{3}{2}} \cdot \frac{d}{dx}[7x][/tex][Derivative] Basic Power Rule: [tex]\displaystyle y' = \frac{-1}{2}(7x)^{-\frac{3}{2}} \cdot 1 \cdot 7x^{1 - 1}[/tex][Derivative] Simplify: [tex]\displaystyle y' = \frac{-7}{2}(7x)^{-\frac{3}{2}}[/tex][Derivative] Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle y' = \frac{-7}{2(7x)^{\frac{3}{2}}}[/tex]Step 3: Find Slope of Tangent Line
Substitute in x [Derivative]: [tex]\displaystyle y'(5) = \frac{-7}{2[7(5)]^{\frac{3}{2}}}[/tex][Tangent Slope] [Brackets] Multiply: [tex]\displaystyle y'(5) = \frac{-7}{2[35]^{\frac{3}{2}}}[/tex][Tangent Slope] Evaluate exponents: [tex]\displaystyle y'(5) = \frac{-7}{2(35\sqrt{35})}[/tex][Tangent Slope] Multiply: [tex]\displaystyle y'(5) = \frac{-7}{70\sqrt{35}}[/tex][Tangent Slope] Simplify: [tex]\displaystyle y'(5) = \frac{-1}{10\sqrt{35}}[/tex][Tangent Slope] Rationalize: [tex]\displaystyle y'(5) = \frac{-\sqrt{35}}{350}[/tex]Step 4: Find Tangent Line Equation
Point (x, y)
Substitute in x [Function]: [tex]\displaystyle y(5) = \frac{1}{\sqrt{7(5)}}[/tex][Function] [√Radical] Multiply: [tex]\displaystyle y(5) = \frac{1}{\sqrt{35}}[/tex][Function] Rationalize: [tex]\displaystyle y(5) = \frac{\sqrt{35}}{35}[/tex]Define point: [tex]\displaystyle (5, \frac{\sqrt{35}}{35})[/tex]Equation
Substitute in variables [Point-Slope Form]: [tex]\displaystyle y - \frac{\sqrt{35}}{35} = \frac{-\sqrt{35}}{350}(x - 5)[/tex]Topic: AP Calculus AB/BC
Unit: Derivatives
Book: College Calculus 10e
Two forces with magnitudes 300 pounds and 450 pounds, with an angle of 60° between them, act upon an object. What is the approximate magnitude of the resultant force?
The resultant force in the example presented is approximately 774 pounds.
What is magnitude?The magnitude or size of a mathematical item defines whether it is larger or smaller than other objects of the same kind in mathematics.
Formally speaking, the size of an object is the visible outcome of an ordering—of the class of objects to which it belongs.
Consider the following scenario: the force is 10 N in the east.
The direction is indicated by "towards the east," while the force is indicated by "10."
Magnitude can be thought of as simply the "value" or "amount" of any physical quantity.
So, an object is under the influence of two forces with respective magnitudes of 300 pounds and 450 pounds and an angle of 60 degrees between them.
F₁=300 pounds, F₂=450 pounds and θ=60°
Fr=√300²+450²+2×300×450×cos60°
= √90000+502500+13500×0.5
= √90000+502500+6750
= √599250
= 774 pounds
Therefore, the resultant force in the example presented is approximately 774 pounds.
Know more about magnitude here:
https://brainly.com/question/24468862
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Answer: C. 653.91 pounds.
Step-by-step explanation:
Roger made a table showing how he spent his time in one day. How many days
will go by before Rodger has slept the equivalent of one day. Explain how you found your answer!
Data:
work : 1/3 day
sleep : 3/8 day
meals: 1/8 day
computer : 1/6 day
PLSSS.... Answer must be whole #
Answer:
Roger will have to sleep 2.667 days.
Step-by-step explanation:
If Roger sleeps 3 / 8 of a day in one day.
Then for Roger to sleep the equivalent of one day he will have to sleep
=
Liza gets paid $5.25 an hour to babysit her little cousins. Last weekend, she watched them for three hours on Friday, nine hours on Saturday, and seven hours on Sunday. How much money does her aunt owe her for her babysitting services? A. $99.85 B. $99.75 C. $95.00 D. $63.00
Answer:
B. $99.75
Step-by-step explanation:
The expression is 5.25(3+9+7) which is 99.75
Answer:
c
Step-by-step explanation:
Quentin can read 18 pages of a book in 2 hours. How many pages can he read in 10 hours? PLEASE HELP ASAP FOR 17 POINTS!
Answer:
90 pages in 10 hours :)
Answer:
90 pages
Step-by-step explanation:
First, you need to find the unit rate of how many pages he can read.
So, you divide 18 pages by 2 hours = 9 pages per hour.
Then, you multiply 9*10 hours to find out how many pages he will read in 10 hours.
You get 90.
can smby help me plz ?!
Answer:
i need these points sorry
Step-by-step explanation:
4
Which equation will solve the following word problem? Sue's class has 50 students. 20% of the students are in art class. How many students are NOT in art class?
Will give brainliest for correct answer
a)50/(50 * 0.20) = x
b)50 + (50 * 0.20) = x
c)50 - (50/0.20) = x
d)50 - (50 * 0.20) = x
Answer:
OK thanks
Step-by-step explanation:
The water is shallow but I have a short tour in your head with a bit of
Answer: Letter D
Step-by-step explanation:
How many kilometers are in 3 centimeters?
Answer:
0.00003km
....................
kilo means 1000
and centi means 1/100
1. If AABD - AHGE and AC and HF are angle
bisectors, find x.
B
G
F
24
. م
X
35
E
14
H
Answer:
9.6
Step-by-step explanation:
Find the diagram attached. Using the similarity theorem of triangles
AC/AD = FH/EH
Given
AC = 24
AD = 35
FH = x
EH = 14
Substitute into the formula
24/35 = x/14
Cross multiply
35×x = 24×14
35x = 336
x = 336/35
x = 9.6
Hence the value of x is 9.6
A bag contains tiles number 1-10. What is the probability of first selecting a PRIME number, replacing it, then selecting a number less than or equal to 3?
Answer:
0.12 = 12% probability of first selecting a PRIME number, replacing it, then selecting a number less than or equal to 3
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Probability of independent events:
Suppose we have two events, A and B, that are independent. The probability of both happening is given by:
[tex]P(A \cap B) = P(A) \times P(B)[/tex]
In this question:
Event A: Selecting a prime number.
Event B: Selecting a number less than or equal to 3
Probability of selecting a prime number:
Between 1 and 10, we have 4 prime numbers(2,3, 5 and 7), out of 10. So
[tex]P(A) = \frac{4}{10}[/tex]
Probability of selecting a number less than or equal to 3:
Three numbers(1,2,3) out of 10. So
[tex]P(B) = \frac{3}{10}[/tex]
Probability of both:
[tex]P(A \cap B) = P(A) \times P(B) = \frac{4}{10} \times \frac{3}{10} = \frac{12}{100} = 0.12[/tex]
0.12 = 12% probability of first selecting a PRIME number, replacing it, then selecting a number less than or equal to 3
a landscaper is designing a park in the shape of a kite with a fountain in the center, F. AK = 28 ft, PF=48 ft and F=32 ft. He wants to install a walkway around the border of the park. The inside edge of the walkway will be edged with brick. The bricks are purchased in linear feet. How many linear feet of bricks should he purchaase?
Answer:
169.9
Step-by-step explanation:
I need the answers ASAP •_•
Answer:
17) vertical
18) vertical
19) vertical
20) adjacent
please help!!!!!! i will also give
Answer:
22. 108 cm²
23. 100 cm²
Step-by-step explanation:
The area of a trapazoid is:
A = (a+b)/2 (h)
input the values:
22. (6+12)/2 (6)
23. (7+18)/2 (4)
Hope this helped :)
write an equation for the line that passes through (-4,1) and (-8,6)
Answer:
[tex]y=- \frac{5}{4}x-4[/tex]
Step-by-step explanation:
1) if the A has coordinates (-4;1) and B - (-8;6), then it is possible to write the formula of the required line:
[tex]\frac{X-X_A}{X_A-X_B} =\frac{Y-Y_A}{Y_B-Y_A};[/tex]
2) if to substitute the coordinates given in the condition, then:
[tex]\frac{X+4}{-8+4} =\frac{Y-1}{6-1};[/tex]
3) finally, the required equation of the line is:
-4y=5x+16; ⇔y= -5/4 x-4 (slope-intersection form)
PS. note, the suggested solution is not the only one.
A certain standardized tests math scores have a bell-shaped distribution with a mean of 530 and a standard deviation of 105. Complete part (a) through (c). (a) what percentage of standardized test scores is between 215 and 845. (b) what percentage of standardized test scores is less than 215 or greater than 845. (c) what percentage of standardized test scores is greater than 740.
Write a rule for the sequence. 1/9, 1/3, 5/9 Pls hurry Pls S's S's Sissies S's See fast
Please help me with this please!!
Answer:
D
Step-by-step explanation:
A hat costs x dollars and you can use the expression x -0.20x to find the cost of the hat
with a 20% discount. What is another expression that would represent the cost of the
hat after the discount?
The people who live in chicago form a subset of those who rent apartments in chicago
On weekday mornings, it takes Leo 12 minutes to bike 2 miles to his school. This Saturday, Leo will bike to the park to meet his friends. The park is 5 miles away from Leo's house.
Answer:
30 minutes to the park
Step-by-step explanation:
12/2 = 6 min per mile
6 x 5 = 30 mins for 5 miles
Solve 4 + 1/5r = -1. Single choice.
answer choices:
r=25
r=-25
r=-15
Answer:
-15
Step-by-step explanation:
imma pro
Answer: r = - 25
Step-by-step explanation:
I need help with 1 through 10
Answer:
1) yes
2) no
3) no
4) no
5) yes
6) yes
7) yes
8) yes
9) circle equation - B
10) circle equation - D
11) 12 people in each team
sorry im not able to answer for 12 , 13 and 14 i have urgent work im so sorry
What is 4^0 in exponential form?
The measures of two complementary angles are described by the expression(13y+12) and (20y+12). Find the measures of angles
Step-by-step explanation:
complementary angles means that both of them together = 90
13y +12 + 20y + 12 = 90
add all y together and numbers together
33y + 24 = 90
solve for y
33y= 66. y= 2
now let's get the measurements of the angles
13(2) + 12= 38
20(2) + 12= 52
Write an equivalent
expression for
7(3 – X) + 15x
Answer:
21+8x
Step-by-step explanation:
7(3 – X) + 15x
21-7x+15x
21(-7x+15x)
21+8x
Answer:
-7x+15x+21
Step-by-step explanation:
Explain 5 different ways you use Math in your everyday life.
Answer:
Buying Groceries, paying for a house, maybe in your job, doing schoolwork of course, and counting money.
Step-by-step explanation:
Answer:
1. you use it to calculate time (managing your day)
2. you use it while driving (use in angles and degrees)
3. you use it while drawing (again, use in angles and degrees)
4. you use it while cooking
5. you use it while banking (financial help)
Step-by-step explanation:
hope this helps:) please mark brainliest
is 15.09 less than 12.63
Answer: No
15.09 is greater than 12.63