Answer:
4n + 8
Step-by-step explanation:
Find the product.
10(-7)
Answer:
-70
Step-by-step explanation:
If a number is right by a parathesis () then you multiply the number inside the parathesis by the number next to them.
Simplify the expression -2 (x + 4 + 5y).
Answer:
-2x-10y-8
Step-by-step explanation:
Rearange terms
-2(x+4+5y)
-2(x+5y+4)
Distribute
WHAT IS THE VALUE OF X PLEASE HURRY!!!!
Answer:
I think 48, since it's an equilateral triangle.
Step-by-step explanation:
Answer:
48
Step-by-step explanation:
cuz its a equilateral triangle
2/5 divided by 4 and reduce the answer
Answer:
1/10 i guess
Step-by-step explanation:
2/5=0.4
0.4/4=0.1
0.1=1/10 (one tenth_
Answer:
1/10
Step-by-step explanation:
2/5 ÷4 is the same as 2/20, which is 1/10
-f(3)
Function for algebra
Answer:
-3f
Step-by-step explanation:
i hope this helps
Determine if each of the numbers below is a solution to the inequality 3x-2<2-2x. SHOW ALL OF YOUR WORK
a. 2
b. 1/2
c. -3
d. 2/3
Answer:
b, c, and d are solutions
Step-by-step explanation:
3x - 2 < 2 - 2x
5x - 2 < 2
5x < 4
x < 4/5
b) 1/2 < 4/5 true
c) -3 < 4/5 true
d) 2/3 < 4/5 true
please help!!!!! i’ve been stuck on this question
Answer:
30
Step-by-step explanation:
The angle for BOF is going to be 180.
So if the angle for COF is 150, then COB is going to be the complement angle.
This means it's 180 - 150 = 30.
Kim spent $44 on eating utensils. Spoons cost $4 and forks cost $6. If she bought a total of 9 utensils then how many of each kind did she buy?
Answer:
3 spoons and 6 forks
Step-by-step explanation:
9 = x + y; x= 9-y
44 = 4x + 6y
44 = 4(9-y) + 6y
44 = 36 - 4y +6y
44 = 36 +2y
2y = 44-36 = 12
y = 12/2 =6
x= 9-y = 9-6 =3
2x = 2y - 6 and y = x - 2
Answer:
2x=2y-6 equals x-y=-3 and y=x-2 equals x=2
Step-by-step explanation:
i hope this helps
A football team carried out a report to see the impact of stretching on preventing injury. Of the 60 footballers in the squad 48 stretch regularly. Of those who stretch, 8 got injured last year. There was a total of 17 injured players last year.
The results can be presented in a frequency tree. What fraction of players who do stretch get injured?
Answer:
1 in every 6 players 1/6
8/48=1/6
pls help this is hard
Two lines, C and D, are represented by the equations given below:
Line C: y = x + 14
Line D: y = 3x + 2
Which of the following shows the solution to the system of equations and explains why?
(6, 20), because the point does not lie on any axis
(6, 20), because both lines pass through this point
(3, 11), because one of the lines passes through this point
(3, 11), because the point lies between the two axes
Answer:
(6,20) because both lines pass through this point
Step-by-step explanation:
To solve this you can use the substitution method.
Since both of them are equal to y, substitute one of the equations for y, that way you have x+14 = 3x+2. From here you continue to simplify.
Eliminate x from either side of the equation. For example, subtract x from the side that says "x+14". (Make sure you are also subtracting it from the other side of the equal sign as well.
Once you do this you should now have 14 = 2x+2
In order continue, you now have to get x by itself. So now subtract 2 from both sides of the equation. After doing this, you should have 12 = 2x
You then simplify x by dividing both sides by 2. This will get you x = 6
Now that you have the x-value, substitute that into either of the two equations (it is recommended you substitute it into both equations to make sure you have the correct x-value). For example: If I substitute x into Line C's equation, I will now have y = 6 + 14.
6 + 14 is 20, therefore you're y-value is y = 20
Use the limit definition of the derivative to find the slope of the tangent line to the curve
f(x)= 7x^2 + 7x + 3 at x= 4
Answer:
[tex]\displaystyle f'(4) = 63[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Algebra I
Expand by FOIL (First Outside Inside Last)FactoringFunction NotationTerms/CoefficientsCalculus
Derivatives
The definition of a derivative is the slope of the tangent line.
Limit Definition of a Derivative: [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}[/tex]
Step-by-step explanation:
Step 1: Define
f(x) = 7x² + 7x + 3
Slope of tangent line at x = 4
Step 2: Differentiate
Substitute in function [Limit Definition of a Derivative]: [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{[7(x + h)^2 + 7(x + h) + 3]-(7x^2 + 7x + 3)}{h}[/tex][Limit - Fraction] Expand [FOIL]: [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{[7(x^2 + 2xh + h^2) + 7(x + h) + 3]-(7x^2 + 7x + 3)}{h}[/tex][Limit - Fraction] Distribute: [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{[7x^2 + 14xh + 7h^2 + 7x + 7h + 3] - 7x^2 - 7x - 3}{h}[/tex][Limit - Fraction] Combine like terms (x²): [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{14xh + 7h^2 + 7x + 7h + 3 - 7x - 3}{h}[/tex][Limit - Fraction] Combine like terms (x): [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{14xh + 7h^2 + 7h + 3 - 3}{h}[/tex][Limit - Fraction] Combine like terms: [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{14xh + 7h^2 + 7h}{h}[/tex][Limit - Fraction] Factor: [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{h(14x + 7h + 7)}{h}[/tex][Limit - Fraction] Simplify: [tex]\displaystyle f'(x)= \lim_{h \to 0} 14x + 7h + 7[/tex][Limit] Evaluate: [tex]\displaystyle f'(x) = 14x + 7[/tex]Step 3: Find Slope
Substitute in x: [tex]\displaystyle f'(4) = 14(4) + 7[/tex]Multiply: [tex]\displaystyle f'(4) = 56 + 7[/tex]Add: [tex]\displaystyle f'(4) = 63[/tex]This means that the slope of the tangent line at x = 4 is equal to 63.
Hope this helps!
Topic: Calculus AB/1
Unit: Chapter 2 - Definition of a Derivative
(College Calculus 10e)
Scottie is standing next to a lighthouse on the edge of a cliff overlooking the ocean. The cliff is 30 meters above sea level, and the lighthouse has a height of 15 meters. There is a man fishing in a boat directly below Scottie who has hooked a fish that is 10 meters below the surface of the water. a. Use positive and negative numbers to represent the locations in relation to sea level. Scottie =
Complete question :
Scottie is standing next to a lighthouse on the edge of a cliff overlooking the ocean. The cliff is 30 meters above
sea level, and the lighthouse has a height of 15 meters. There is a man fishing in a boat directly below Scottie who
has hooked a fish that is 10 meters below the surface of the water.
a. Use positive and negative numbers to represent the locations in relation to sea level.
Scottie =
Top of the lighthouse =
The boat =
The fish =
meters
b. How far is Scottie from the fish?
Answer:
30 m ;
15 m ;
0 m;
40 m
Step-by-step explanation:
Scottie's position = standing on cliff
Height of cliff = 30 m above sea level
Height of lighthouse = 15 meters
Position of fish = 10m below sea level
Above sea level = positive, +
Below sea level = negative, -
Scottie's position = 30 m
Top of lighthouse = 15m
BOAT = surface of sea = 0m
Fish = - 10 m
Distance of Scottie from fish :
Scottie's position - Position of fish
30m - (-10)m
30m + 10m
= 40m
Find the length of a
Help plz ASAP
Answer:
Hey there!
Your answer is c)
Answer:
2√5
Step-by-step explanation:
The triangle that's shown on the page is a special isosceles right triangle with angle measures of 45° - 45° - 90°
Since one of the side length that sees 45° angle measure is 2√5 the other also has to be equal to this value so the answer is 2√5
can you help me please
Answer:
25/6
Step-by-step explanation:
Find the measure of each angle indicated. Round to the nearest tenth.
Answer:
theta = 22.6 degrees
Step-by-step explanation:
Here, we want to find the value of theta
To do this , we use the appropriate trigonometric identity
Let us identify the given sides of the triangle
we have the hypotenuse, which is the longest side of the triangle, given as 13 and the third side called the adjacent, given as 12
The trigonometric identity that relates the hypotenuse to the adjacent is the cosine
Mathematically;
cosine of an angle is the ratio of the adjacent to the hypotenuse
Thus, we have it that;
cos theta = 12/13
theta = arc(cos) 12/13
theta= 22.6
A boxer punches a sheet of paper in midair and brings it from rest up to a speed of 20m/s in 0.044 S
Complete Question:
A boxer punches a sheet of paper in midair and brings it from rest up to a speed of 20m/s in 0.044 Seconds.
a. what acceleration is imparted to the paper?
b. if the mass of the paper is 0.003 kg, what force does the boxer exert on it?
c. how much force does the paper exert on the boxer?
Answer:
a. Acceleration = 454.55m/s².
b. Force = 1.36N
c. Force = -1.36N
Step-by-step explanation:
Given the following data;
Final velocity = 20m/s
Time = 0.044 seconds.
Since the paper is at rest, we know that it's initial velocity is equal to 0m/s.
a. To find acceleration;
Mathematically, acceleration is given by the equation;
[tex]Acceleration (a) = \frac{final \; velocity - initial \; velocity}{time}[/tex]
Substituting into the equation, we have;
[tex]a = \frac{20 - 0}{0.044}[/tex]
[tex]a = \frac{20}{0.044}[/tex]
Acceleration = 454.55m/s²
b. To find the force exerted by the boxer;
Mass = 0.003kg
Force = mass * acceleration
Force = 0.003 * 454.55
Force = 1.36N
c. To find the force exerted by the paper;
According to Newton's third law of motion which states that, for every action there is an equal and opposite reaction. Therefore, the paper exerts an equal but opposite force on the boxer.
Force = -1.36N
A car salesman receives 3% commission on his total weekly sales. Last week his total sales were £28500
How much commission does he earn?
Carter is going to invest $210 and leave it in an account for 5 years. Assuming the interest is compounded annually, what interest rate, to the nearest tenth of a percent, would be required in order for Carter to end up with $250?
Answer:360
Step-by-step explanation:g-g5
The rate of interest will be 0.35.
What is compound interest?
Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.
Compound interest formula[tex]CI = P(1+\frac{r}{n}) ^{nt} -P[/tex]
and, the Amount is given by
[tex]A = P(1+\frac{r}{n} )^{nt}[/tex]
Where,
A is amount
P is principal
r is rate of interest
n is number of times interest is compounded per year
t is time
According to the given question
Principal, P = $210
Amount, A = $250
Time, t = 5 years
n = 1
Therefore, the interest rate is given by
Amount = [tex]P(1+\frac{r}{n}) ^{nt}[/tex]
⇒[tex]250 = 210(1+\frac{r}{1}) ^{5}[/tex]
⇒[tex]\frac{250}{210} =(1+r)^{5}[/tex]
⇒[tex]1.19 = (1+r)^{5}[/tex]
⇒[tex]\sqrt[5]{1.19} = 1+r\\[/tex]
⇒ 1.035 = 1 + r
⇒ r = 1.035 - 1
⇒ r = 0.35
Hence, the interest rate is o.35.
Learn more about compound interest here:
https://brainly.com/question/14295570
#SPJ2
15 pints because 2 questions
Answer:
1.its B
2.G
Step-by-step explanation:
HELP PLEASE CHECK MY ANSWER!!!
Answer:
its almost correct but its just a little bit off
Step-by-step explanation:
1. on the left its on the two bring it closer to the 4 than the 2 so its gonna be right before the four ill insert a picture so u can see as well.
2. on the left side its going to be right before -2.
3. on the bottom its going to be moved down to -18 and a little bit out going to the right.
the picture is right there hope it helped
1.
A bucket is put under a leaking ceiling. The amount of water in the bucket doubles every minute. After 8 minutes,
the bucket is full. After how many minutes is the bucket half-full?
I
Answer:
4min
Step-by-step explanation:
half full = 4min. disregard the doubles every min.
Answer:
7 minutes
Step-by-step explanation:
What is the distance from point (6, -10) to point (6, 3)?
Answer:
13
Step-by-step explanation:
A U.S. penny has a mass of 2.5 grams. A U.S. quarter has a mass of 5.67 grams. What is the total mass of the two coins?
Which values from the set {0, 1/2 , 2.5, 4} make the inequality 8g < 4 true?
Answer:
only 0
Step-by-step explanation:
8g < 4 simplifies to g < 4/8, i.e., g < 1/2
only 0 is smaller than 1/2
whats the property
someone plz help
Answer:
The property is the water cycle
An angle measures 150°. What is the measure of its supplement?
Answer:
The supplement is = 180-150 i.e30
Step-by-step explanation:
Let the another Angle be x then
x + 150° = 180° {being supplementary angles }
x = 180° - 150°
x = 30°
Hope it will help :)
Is 15/60 equivalent to 1/4
Answer: Yes
Step-by-step explanation:
15/60 divided both by 15:
15/15=1 and 60/15=4
Answer:
yes
Step-by-step explanation:
15/60 divided by 15/15 = 1/4, or you could day that 15/60 simplified = 1/4, making the answer yes
(3z+1)+5+7z) Step by step explanation needed
Answer: 10z + 6
Step-by-step explanation:
this is a short problem.. sometimes you would need to distribute, but since there is no number in front of parenthesis you can just get rid of them
that gives you: 3z + 1 +5 + 7z
now from here we combined liked terms
7z + 3z = 10z
1 + 5 = 6
so that gives you: 10z + 6
Pleaseee find the measurement of angle F! Will mark Brianliest !!!!!!!!!!!!!
Answer:
f=131
Step-by-step explanation:
