Answer:
2/16
simplest form:1/8
Step-by-step explanation:
2/16
simplest form:1/8
There are 16 boys in all so 16 will be your denominator and there are to boys absent so your numerator
2/16
Then simplify by dividing 2/2
1/8
can you help me please
Answer:
25/6
Step-by-step explanation:
A car salesman receives 3% commission on his total weekly sales. Last week his total sales were £28500
How much commission does he earn?
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.
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)
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
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
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
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?
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
A store sells 38 men's bikes and 47 women's
bikes. How many bikes did the store sell
in all?
Answer:
85
Step-by-step explanation:
you add 38 and 47 together and you get 85
Answer:
Ten Ten
Step-by-step explanation:
_________________________ 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
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 are the values of a and b, and what is an equation for the line?
Answer:
a = 1, b = 6
Step-by-step explanation:
slope of line = (5-2) / (12-3) = 3/9 = 1/3
(3-2) / (b-3) = 1/3
b-3 = 3 b = 6
(2-a) / (3-0) = 1/3
2-a = 1 a = 1
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
Christy spent 25 of her money on a shirt. She has $21.75 left. How much did she spend on the shirt?
A. $8.70
B. $7.25
C. $14.50
D. $29
Christ spent a total amount of $ 14.50 on the shirt.
Finding the amount spent on the shirt
Here we use the linear equation concept to solve the problem.
Since we do not know the amount that Christ has assume that with a variable and form a linear equation using the data given.
Now solve the resultant equation for the value of the variable and find the amount spent by Christ on the shirt as given below
Here we have
Christy spent 2/5 of her money on a shirt.
She has $21.75 left
Let 'x' be the amount that Christy has
From the data,
Christy spent 2/5 of her money on a shirt.
Amount spent by Christy = 2/5 of x = 2x/5
Remaining amount = x - 2x/5
From the data,
Chrisy is left with $ 21.75
=> x - 2x/5 = 21.75
=> 3x/5 = 21.75
=> 3x = 108.75
=> x = 36.25
Amount the that she spent 2x/5 = 2 (36.25)/5 = 14.50
Therefore,
Christ spent a total amount of $ 14.50 on the shirt.
Learn more about Linear equation problems at
https://brainly.com/question/14238417
#SPJ1
help me please, i don’t get it loll
Answer:
subtract to find A
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
9 ounces = how many pounds? in fraction form
Answer:
9/16 pounds
Step-by-step explanation:
1 pound = 16 ounces
With this information, we have make a proportion to find the number of pounds 9 ounces is
Let p = the number of pounds
16/1 = 9/p
Multiply both sides by 1 to get
16 = 9/p
Multiply both sides by p
16p = 9
Divide both sides by 16
p = 9/16
This fraction is in its simplest form and can't be simplified any more.
Answer:
9/16 is the answer brainliests
Step-by-step explanation:
Tell whether each equation has no solution, one solution, or infinitely many solutions.
3x-12=3x+1
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.
15 pints because 2 questions
Answer:
1.its B
2.G
Step-by-step explanation:
Cuatro amigos van al cine dos veces al mes y siempre comen un paquete de palomitas de maiz cada uno si no comia palomitas de maiz los cuatro amigos podrian ir al cine tres veces al mes sabiendo que cada paquete de palomitas de maiz cuesta $28 cual es el precio de cada entrada al cine
Answer:
El precio de la entrada al cine es de $56
Step-by-step explanation:
Cada uno de los 4 amigos las 2 veces por semana consumen un paquete de palomitas que cuesta: $28 ; entonces debemos multiplicar el costo de las palomitas por las dos veces que las consumen para saber el costo total de las palomitas:
28 x 2 =$56
El ejercicio nos dice que al no comer esas dos veces palomitas pueden ingresar a cine una tercera vez por semana ,lo que significa que al no pagar los $56 en palomitas podrán pagar una tercera entrada,lo que quiere decir que la entrada a cine es de $56.
Entonces podemos hacer la siguiente relación matemática: Precio total de las palomitas dos veces por semana = Precio de la entrada a cine.
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
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
Please help !! (no fake answers please !!) I'll mark brainlist.
Answer: area mean multiply
Step-by-step explanation:
Answer:
76 feet (Just put 76 in the answer box)
Step-by-step explanation:
Knowing the perimeter of a rectangle is 2l + 2w, multiply 2 by 3.5. Then multiply 2 by 4.5, and add them together.
2(3.5) + 2(4.5)
The two products would be 7 and 9 respectively.
7 + 9 = 16 feet of fencing for 1 rabbit pen.
We have 2 pens, so multiply 16 by 2.
The rabbit pens need 32 feet of fencing.
(Alternatively you could have done 2(2(3.5 + 4.5)).
2(2(8))
2(16)
32 ft of fencing (rabbit pens))
Now, add 12 and 10. Then multiply that by 2.
2(12 + 10)
2(22)
The garden needs 44 feet of fencing.
Now add 32 and 44 to get the total amount of fencing needed.
32 + 44
The rabbit pens and the garden need 76 feet of fencing. (Just put 76 in the answer box as the unit (feet) is already given.)
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
Which expressions have exactly two factors? Choose ALL that apply.
Please Help
Answer: xy and 3(b - 1 )
Step-by-step explanation:
Answer:
Step-by-step explanation:
this expression is xy and 3(b-1)
whats the property
someone plz help
Answer:
The property is the water cycle
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.
Sheldon is creating a graph to represent the trip he takes from his home to his favorite clothing store. In his graph, one unit on the coordinate plane is equal to one mile. He draws a point at $\left(4,\ 3\right)$ to represent the location of his house. The store is $5$ miles away from his house. Which coordinate pairs could represent the location of Sheldon's favorite clothing store?
Answer:
hjgfghjk
Step-by-step explanation:
:)
