Answer: X = 1/7
Step-by-step explanation:
37x = 9x + 4
subtract 9x to both sides
28x = 4
now divide by 28
x = 4/28
simplified its
x = 1/7
Answer:
28x=4
x=1/7
Step-by-step explanation:
First you would make simplyfiy the expression so that you would have x on one side, when you do that you will get 28x=4. When simplyfied you will get 1/7.
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
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
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
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
what is the inverse of f(x)=2-2x
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
Asap
Each part needs fourteen small holes drilled in its outer surface and four larger holes drilled in its inner surface. Write an expression that shows how many holes need to be drilled for c parts.
Answer:
(14 + 4)c, or 18c
Step-by-step explanation:
Answer:
(14 + 4)c, or 18c
Step-by-step explanation:
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)
The length of a rectangle is equal 3x - 2. The width of the rectangle is equal to
x2 - 4x + 8. Which expression is equal to the perimeter of the rectangle?
pls answer someone
Answer:
14x-4
Step-by-step explanation:
2(3x-2)+2(2x-4x+8)
6x-4+4x-8x+16x
14x-4
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
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
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?
Tell whether each equation has no solution, one solution, or infinitely many solutions.
3x-12=3x+1
what's bigger -1/5 or -0.9
Answer:
-1/5
Step-by-step explanation:
-1/5=-0.2
-0.9<-0.2
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.
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?
can you help me please
Answer:
25/6
Step-by-step explanation:
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
What is the explicit
equation for this
series?
2, 8, 14,
Answer:
2-8x14
Step-by-step explanation: hope this helpss !!
Answer:
6
Step-by-step explanation:
8-2=6
14-8=6
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
One angle of a right triangle measures 34°. What is the measure of the other acute angle?
Answer:
Step-by-step explanation: one has to be 90 degrees, so 34 plus 90. The angles of a triangle always add up to 180 so, subtract the answer of 34 plus 90 from 80 and you should get the answer.
_________________________ 6Harry is planning a holiday for 4 people for 7 days. Here are the costs for the holiday for each person. Travel£150 Hotel£50 for each day Spending money£250 Work out the total cost of the holiday for 4 people for 7 days.
Answer: $3,000
Step-by-step explanation:
The cost for a single person is:
Travel £150
Hotel £50 for each day
Spending money £250
Hotel is the only one that changes per the number of days so the total cost for a single person for 7 days is:
= 150 + (50 * 7) + 250
= 150 + 350 + 250
= $750
There are 4 people so the total cost will be:
= 750 * 4 people
= $3,000
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
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
The slope of a line is -1/3, and the y-intercept is 10/3 . What is the equation of the line written in general form?
10x + 3y - 1 = 0
x + 3y + 10 = 0
x + 3y - 10 = 0
Answer:
x+3y-10=0 I hope it helps you
15 pints because 2 questions
Answer:
1.its B
2.G
Step-by-step explanation:
help me please, i don’t get it loll
Answer:
subtract to find A
Step-by-step explanation:
What is the distance from point (6, -10) to point (6, 3)?
Answer:
13
Step-by-step explanation:
