Answer:
c = 4
Step-by-step explanation:
6c = 24
(divide 6 by each number to get eh variable by itself)
6c = 24
/6 /6
c = 4
To check work:
insert 4 for c into equation
6(4) = 24
24 = 24
15 pints because 2 questions
Answer:
1.its B
2.G
Step-by-step explanation:
Find the area of the triangle
19cm
15cm
12cm
Answer:
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)
can you help me please
Answer:
25/6
Step-by-step explanation:
I need help with this. Please!
(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
Answer! Plz plz pls pls
Answer:
201.5238
Step-by-step explanation:
201.5238
calculator
Answer:
$201.52
Step-by-step explanation:
156.95 x 0.20 = 31.39 tip
subtotal = 188.34
188.34 x 1.07 = 201.52
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
7 is 1/10 of
pls help and thank you :)
7 is 1/10 of 70. You can figure this out by multiplying 7 by 10
911÷406 con operaciones
Answer:
2.24384236453
Step-by-step explanation:
division/división
Answer:
Step-by-step explanation:
2.24384236453 divicion y divicion
Find x in triangle ABC using geometric means.
Given:
The figure of a right angle triangle.
To find:
The value of x using geometric mean.
Solution:
According to the geometric mean altitude theorem, if an altitude h divides the hypotenuse in two parts a and b, then
[tex]\dfrac{a}{h}=\dfrac{h}{b}[/tex]
Let attitude from A touches the hypotenuse at point D.
Using this in the given triangle, we get
[tex]\dfrac{BD}{AD}=\dfrac{AD}{CD}[/tex]
[tex]\dfrac{12}{x}=\dfrac{x}{3}[/tex]
[tex]12\times 3=x^2[/tex]
[tex]36=x^2[/tex]
Taking square root on both sides, we get
[tex]\pm \sqrt{36}=x[/tex]
[tex]\pm 6=x[/tex]
Side cannot be negative. Therefore, the only value of x is 6.
HELP ME PLZ !!! IT'S ALGEBRA
Answer:
x = - 8/23
y = 40/23
Step-by-step explanation:
-5x- y = 0
and
-8x+3y = 8
The first step to solve this would be to get what one of the two variables equal. The easiest in this case is y from the first equation.
-5x-y = 0
-y = 5x
y = - 5x
Now you can take this y value and plug it into the section equation.
-8x + 3(-5x) = 8
-8x - 15x = 8
-23x = 8
x = - (8/23)
Once you get the x value you can plug it back into equation one to get y's value
-5*-(8/23) - y = 0
40/23 - y = 0
y = 40/23
When Mohammed was born, the baby was 21 inches tall. at his last check up, he was 38 inches tall. what is the percent increase in his growth to the nearest percent? round it to the nearest 100th
this is math btw and im giving 5 star and 15 points.
Answer:
80.95
Step-by-step explanation:
Percentage increase = [tex]\frac{New Value - Old Value}{Old Value}[/tex] *100
=> (38-21)* 100/21 = 80.9523%
The answer round it to the nearest 100th = 80.95%
Can somebody pls help me out wit dis
Answer:
i can't see it
Step-by-step explanation:
Answer:
a. x is equal to the number of sweat shirts made
b. $1100 is I think the base cost it takes to produce shirts
c. x=30
d. $5845
hope I helped.
Step-by-step explanation:
a. context
b. if x=the number of sweat shirts made then 65×x means that it costs $65 to produce one shirt and in that case to make any shirts it would cost $1100 to get the process set up so that they can make the shirts.
c. if c(x)=3050 then that means that that is the total cost to make all the shirts they made at that time. We know x is the number of shirts and because of that we want to solve for x. to do that we need to isolate x, the first step would be to take 3050 and sub that into the first equation
3050=1100+65x
subtract 1100 from both sides
3050-1100=65x
1950=65x
divide both sides by 65
1950÷65=x
simplify
30=x
d. you take the equation at the top c(x)=1100+65x and sub in 73 for x.
1100+(65×73)
simplify
1100+4745=5845
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
Solve the formula for t.
d= rt
eighteen is equal to the product of a number (n) and 9
eighteen is equal to the product of a number 9 and 9
A square pyramid is sliced in half, parallel to the base.
Which of the following statements describes the cross-section?
A triangle with the same height as the pyramid
A square that is smaller than the base
A square that is congruent to the base
A trapezoid that is shorter than the pyramid
Answer:
I think the answer is a because it not getting any smaller
Answer:
I think a trapezoid that is shorter than the pyramid because it's parallel to the base which automatically know it's not the same height because there's a certain length thats cut off.
Step-by-step explanation:
Reflect square JKLM with J(1, 4), K(6, 5), L(7, 0) and M(2, -1) in the y-axis. What are the coordinates of M'?
Given:
Reflect square JKLM with J(1, 4), K(6, 5), L(7, 0) and M(2, -1) in the y-axis.
To find:
The coordinates of M'.
Solution:
We have, M(2, -1) .
If a figure reflected over the y-axis then
[tex](x,y)\to (-x,y)[/tex]
Using this rule, we get
[tex]M(2,-1)\to M'(-2,-1)[/tex]
Therefore, the coordinates of point M' are (-2,-1).
What do you get when you plug 4 in the following function?
Answer:
567
Step-by-step explanation:
It will become:
y = 7(3)^4
y = 7 * 81
y = 576
Answer:
Y = 567
Step-by-step explanation:
Y=7(3)(3)(3)(3)
kiran's backpack weighs 3 pounds less
than Claire's backpack.Claire's backpack weighs 14 pounds.how much does kiran's backpack weighs?select ALL that apply.
x +3=14
3×=14
×=14-3
×=14÷3
Answer: x+3=14 and x=14-3
Step-by-step explanation:
Multiply.
−2x(6x4−7x2+x−5)
Express the answer in standard form.
Enter your answer in the box.
Answer:
-2x(6x⁴ - 7x² + x - 5)
= -12x⁵ + 14x³ - 2x² + 10x
Answer:
See screenshot
Step-by-step explanation:
The width of a rectangle is the length minus 3 units. The area of the rectangle is 40 units. What is the width, in unit, of the rectangle?
Answer: The width is 5
Step-by-step explanation:
The equation is x*(x-3)=40 solviing for x which is 8 but since width is x-3 then 8-3=5
1. What do you remember about the slope of a line? 2. A ramp may not be steeper than 1:12. Draw a right triangle whose "rise" is 1 unit, and whose "run" is 12 units. 3. Set up a trig ratio and use it to solve for the maximum angle of elevation of the ramp. Round to the nearest hundred 4. The height of the door on your restaurant is 9.5 inches from the ground. Using the maximum angle of elevation possi what would the length of the ramp be (x)? What would the horizontal distance be (y)
I remember every thing it was so good j set ramp
Write and simplify an expression for the area of the rectangle. Write the SIMPLIFIED answer in the text box.
Answer:
gff
Step-by-step explanation:
rwsnuggdfvg
The History Club is making T-shirts to sell for a fundraiser, at a price of $10 apiece. The costs, meanwhile, are $9 per shirt, plus a setup fee of $100. Selling a certain number of shirts will allow the History Club to cover their costs. How many shirts must be sold?
Answer:
fshdmso hdkdndjsj held by sks
I am thinking of 2 numbers.
The sum of the two numbers is 553.
Their difference is 225.
What are the 2 numbers?
Is 3,9,19,33,51.. a linear or non-linear sequence?
Jai shree ram. sjkaoaoauwyyw7272okebsbskpszbahzijzgzgz
Answer:
non-linear
Step-by-step explanation:
dosnt go up by the same amount each time
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?
Evaluate the expression.
–3×(6– -6÷3)
PLEASE HELP
-24 i hope this is right
Answer:
−24
Steps for answer:
1. Simplify 6÷3 to 2.
−3×(6+2)
2. Simplify 6+2 to 8.
−3×8
3. Simplify
−24