Answer:
4
Step-by-step explanation:
It is half of 8
A dozen is 12 if there's 2 that's 24 cakes
If they ate 3 now it's 21
Decide that by 3 now it is 8
Please can someone helpppp
Question 6
4 pts
You flip a coin three times. What is the probability you will have at least 2 heads?
67%
50%
33%
25%
Answer: 33%
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)
FINDING SLOPE given GRAPHS, TABLES, POINTS and EQUATIONS!! Thank youu
The formula for slope is vertical change ÷ horizontal change, which means choose two points, (x1,y1) and (x2,y2), then do (y2-y1) ÷ (x2-x1).
For the graph, just pick two random points that you like. For the table, pick two sets of numbers (for example -10,-47 and 4,9). For the equation, create two sets of coordinates. For example, if you have f(x) = x + 3, then if x = 1, y = 4 and if x = 2, y = 5.
What is the constant in the expression 7x + 3
Answer:
3
Step-by-step explanation:
In expressions, there are 4 items to look at :
1. Terms
2. Coefficients
3. Like Terms
4. Constant Terms
Since 4. is the topic at hand, let's focus on that, constant terms are terms that cannot be changed value.
This would mean numbers without a variable, look at the expression below :
7x + 3
Since 3 doesn't have a variable, therefore 3 is a constant term.
One box of nails weighs 3.4 pounds and another box weighs 5.2 pounds. How much more does the heavier box weigh?
Answer:
1.8 pounds
Step-by-step explanation:
10.
A plane that carries mail makes a round trip each day from Chicago to New York. It makes 1 intermediate stop on the way to New York and 1 intermediate stop on the way back to Chicago. Suppose you make a graph of the altitude of the plane for one day, with time on the horizontal axis and altitude on the vertical axis. How many times will the graph touch the horizontal axis?
A. 5
B. 4
C. 7
D. 2
Answer:
C. 7
Step-by-step explanation:
The graph that is drawn here shows the altitude as a function of time. When the plane takes off from Chicago, the graph will start from the horizontal axis.
Next, when the plane takes 3 intermediate stops, altitude will touch the horizontal axis 3 times.
Next, when the plane lands in New York the altitude will touch the horizontal axis.
Next, when plane takes off from New York and takes an intermediate stop, altitude will touch horizontal axis.
Lastly the altitude will touch the axis when plane lands back in Chicago.
So, cumulatively the altitude will touch the horizontal axis seven times.
what are the measures of angle a,b,c? show your work and explain
Answer: A= 40. Vertical angles are congruent; B=50. 40+90=130 180-130=50; c=115 bc 180-65=115
Step-by-step explanation:
Please help I needed it badly
Answer:
The answer is C trust me I did this
Need help ASAP!!!plz
Answer:
The answer is D
Step-by-step explanation:
answer this! i’ll give brainliest
Answer:
-0.6, -1/4, 0.3, 1/2
Step-by-step explanation:
Give me brainliest.
Answer:
-0.6, -1/4, 0.3, 1/2
Step-by-step explanation:
Which pair of angles are alternate exterior angles ?
8 and 1 are alternate exterior angles.
Answer:
<8 and <1
Step-by-step explanation:
<8 and <1 are both outside of the parallel so they are exterior and opposite to each other which is alternative exterior.
Hope this helps, thank you !!
Help ASAP please Ahhhhh
Answer:its A
Step-by-step explanation:
Answer:
Your answer would be A. Your welcome
help i'll give you brainly
16 ÷ 2 + 6(8 - 2^2 )
Answer:
The answer is 32.
Step-by-step explanation:
Answer:
32
Step-by-step explanation:
PEMDAS:
16 ÷ 2 + 6(8 - 2^2 )
2^2 = 4
(8-4) = 4
16 ÷ 2 + 6(4)
16 ÷ 2 + 24
8 + 24
32
Solve for x.
(x + 10)°
(4x - 35)°
Answer:
x = 15
Step-by-step explanation:
x+10=4x−35
x+10−4x=4x−35−4x
−3x+10−10=−35−10
−3x=−45
x = 15
Please help! image is below
Explanation = brainliest
Answer:
x=67.5ft
Step-by-step explanation:
similarity and congruence
the length of one side of the bigger triangle divided by the length of the similar side of the smaller triangle
equate the unknown ratio with a known ratio
71.5/49.5=97.5/x
x=(97.5 x 49.5)/71.5
x=67.5 ft
BRAINLIEST+50 POINTS
Hey! I really need help figuring this problem out. I have a test in a few hours and I don't know how to find the answer to questions like these, I would really appreciate it if you show your work so I can figure out how to solve these myself. Thank you!
Answer:
(2, -1)Step-by-step explanation:
Given system:
-3x - 2y = -49x + 3y = 15Solving by elimination
Multiply the first equation by 3 and add up equations, then solve for y:
3(-3x) - 3(2y) + 9x + 3y = 3(-4) + 15-9x - 6y + 9x + 3y = -12 + 15-3y = 3y = 3/(-3)y = -1Find the value of x:
-3x - 2(-1) = -4-3x + 2 = -4-3x = - 4 - 2-3x = -6x = -6/(-3)x = 2The answer is: (2, -1)
how would you factor 12b^4+3b^2
Answer:
3b²(4b²+1)
Step-by-step explanation:
You can factor out a 3b²
3b²(4b²+1)
Answer:
Hey friend, need some help if you factor 3b^2 out of 12b^4+3b^2, in other words, 3b^2 (4b^2 + 1)
Show your work:
3b^2 (3b^2 / 12b^4) + (3b^2 / 3b^2)
PLZ give 5 stars, heart, and brainlyest
What equation of a line would be parrallel to y=4/1X+-3
Answer:
y=4/1x+7
Step-by-step explanation:
it has the same gradient
the number being c (y=mx+c) can be anything
3pts 7.) Clare is cycling at a speed of 12 miles per hour. If she starts at a position chosen as zero, what will her position be after 45 minutes?
9514 1404 393
Answer:
9 miles
Step-by-step explanation:
Of course, 45 min = 45/60 hours = 3/4 hours.
__
The relationship between time, speed, and distance is ...
distance = speed · time
distance = (12 mi/h) · (3/4 h) = 9 mi
Her position will be 9 miles from 0 after 3/4 hour.
Show that (1+i)^2 = 2i
PLEASE HELP WILL GIVE BRAINLIEST ANSWER!!! Thanks
Answer:
please check explanations
Step-by-step explanation:
As we all know, i is same as root of -1
let us expand what we have;
(1 + i)^2
= 1(1 + i) + i(1 + i)
= 1 + i + i + i^2
as i is square root of -1, the square of the square root of -1 is -1
Thus, we have
1 + 2i - 1
= 2i
N a survey, a group of students were asked their favorite sport. Eighteen students chose "other" sports. baseball: 40% football: 37.5 other:?
Answer:
22.5%
Step-by-step explanation:
The total number of students in percentage terms is 100%
Students that chose others = 100% - 40% - 37.5% = 22.5%
a plywood plank measures 1cmx 8cm x 90cm and it weighs 396g.What is the density
answer
Answer:
the answer is 0.55
density=mass/volume
density=396/720(8*1*90)
PLEASE HELPPPP EASY 10 POINTS
Answer:
y=x+5
Step-by-step explanation:
Answer:
Step-by-step explanation:
Leandro wants to estimate the proportion of light bulbs that arrive broken upon shipment to his store. He
takes a random sample of 500 bulbs and finds that 25 arrived broken. He's willing to assume independence
between bulbs in the sample.
Answer:0.05+1.645v0.05(0.95)/500
Step-by-step explanation:
Factor the trinomial below.Thanks
Answer:
A. (3x+2)(3x+2)
Step-by-step explanation:
(3x+2)(3x+2)= 9x^2+12x+4
Solve for xxx. Your answer must be simplified. -4+x≤9
Answer:
x≤13
Step-by-step explanation:
-4+x≤9
Add 4 to each side
-4+4+x≤9+4
x≤13
Answer:
x≤13
Step-by-step explanation:
khan
Write the quadratic equation in standard form:
x^2- 1 = -7x
Answer:
standard form: ax² + bx + c = 0
x² - 1 = -7x
x² + 7x - 1 = 0
Please help me in this
The answer is A. 2 and 4
Reason:
To formula for circumference is 2 x r x pi
2 x 2 = 4, 2 x 4 = 8and 4 + 8 = 12
Area is r ^2 x pi
2 ^2 = 4, 4^2 = 16 and 4 + 16 = 20
An airplane ticket to new york is priced at $1232.10 inclusive of 11% sales tax what amount would the airline ticket cost exclusive of sales tax
Answer:
net is before tax
gross is after tax