Answer:
f'(-2.4) ≈ -14
General Formulas and Concepts:
Algebra I
Coordinate Planes
Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Functions
Function NotationCalculus
Differentiation
DerivativesDerivative NotationStep-by-step explanation:
*Note:
The definition of a derivative is the slope of the tangent line.
Step 1: Define
Identify.
f(-2.4) = -1
f(-1.9) = -8
Step 2: Differentiate
Simply plug in the 2 coordinates into the slope formula to find slope m.
[Derivative] Set up [Slope Formula]: [tex]\displaystyle f'(-2.4) \approx \frac{f(x_2) - f(x_1)}{x_2 - x_1}[/tex]Substitute in coordinates: [tex]\displaystyle f'(-2.4) \approx \frac{-8 - -1}{-1.9 - -2.4}[/tex]Evaluate: [tex]\displaystyle f'(-2.4) \approx -14[/tex]---
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---
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
in a game show, players play multiple rounds to score
points. Each round has 3 times as many points available as
the previous round. Let n represent the number of rounds
and p represent the number of points. Which equation to
the right shows the number of points available, p, in round
n of the game show? (1 point)
Equation representing the number of points 'P' in 'n' games will be
[tex]P=25(3)^{n}[/tex]
Explicit formula of the Geometric sequence:
a, ar, ar², ar³........arⁿ
There is a common ratio of 'r' in each successive term to the
previous term.
Therefore, it's a geometric sequence.
Explicit formula of a geometric sequence is given by,
(For n ≥ 1)
Here, First term
Common ratio
nth term
Given in the table,
Common ratio (r) of any successive term to the previous term,
First term of the sequence 'a' = 25
Explicit formula of the sequence will be,
[For n ≥ 0]
Therefore, equation representing the number of points 'P' in 'n' games will be .
Learn more about the geometric sequence here,
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O is the center of the regular nonagon below. Find its perimeter. Round to the nearest tenth if necessary.
17
O
The perimeter of a nonagon is the sum of its side lengths
The perimeter of the regular nonagon is 840.7 units
How to determine the perimeterThe in-radius of the regular nonagon is given as:
r =17
The perimeter is then calculated as:
[tex]P = \frac{18r}{\tan(pi/9)}[/tex]
Substitute 17 for r
[tex]P = \frac{18 * 17}{\tan(pi/9)}[/tex]
Evaluate the product of 18 and 17
[tex]P = \frac{306}{\tan(pi/9)}[/tex]
Evaluate the quotient
[tex]P =840.7[/tex]
Hence, the perimeter of the regular nonagon is 840.7 units
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I need help with this question please look at the picture attached
Answer:
5/21
Step-by-step explanation:
10/7 is a fraction, and if you divide a fraction a/b by c (a/b)/c, then the answer is a/bc, which is 10/6*7, or 10/42, which reduces to 5/21.
X = 3
A = 6
Y = 4
Z = 3
3x - 6a 5z + 3y
Answer:
[tex]3x-6a=-27[/tex]
[tex]5z +3y=27[/tex]
Combined, these equations cancel out to equal zero.
Step-by-step explanation:
Given:
[tex]X = 3\\A = 6\\Y = 4\\Z = 3[/tex]
Find:
[tex]3x - 6a\\5z + 3y[/tex]
1. [tex]3x-6a[/tex]
To find the value of [tex]3x-6a[/tex], substitute 3 for [tex]x[/tex] and 6 for [tex]a[/tex]:
[tex]3x-6a\\3(3)-6(6)\\9-36\\-27[/tex]
2. [tex]5z +3y[/tex]
To find the value of [tex]5z +3y[/tex], substitute 3 for [tex]z[/tex] and 4 for [tex]y[/tex]:
[tex]5z+3y\\5(3)+3(4)\\15+12\\27[/tex]
3. True or False? If false, how would you correct the statement?
a. The mean is the most frequently used average.
b. In a distribution with a positive skew, the median has a higher value than the mean.
c. In a normal distribution, the mean, median and mode have the same value.
d. The median has 50% of the cases below it ONLY in a normal distribution.
Answer:
a is true
b is false
c is true
Please help me!!!!!! I will give brainliest!!!!! Fast!!!!!7 students from a class of 10 are going to be chosen to be on the dance committee. Find the number of different 7-person committees that can be made
Answer:
5040
Step-by-step explanation:
7*6*5*4*3*2*1=5040
The correct number of different 7-person committees that can be made is,
⇒ 5,040
What is Combination?A combination is a technique to determines the number of possible arrangements in a collection of items where the order of the selection does not matter.
Given that;
7 students from a class of 10 are going to be chosen to be on the dance committee.
Hence, the number of different 7-person committees that can be made is,
⇒ 7!
⇒ 7 × 6 × 5 × 4 × 3 × 2 × 1
⇒ 5,040
Thus, The correct number of different 7-person committees that can be made is,
⇒ 5,040
Learn more about the combination visit:
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The dimensions of a rectangle are 3 1/5cm by 5 5/6cm. What is the area of the rectangle?
A) 9 1/30 cm
B) 12 3/8 cm
C) 18 2/3 cm
D) 21 3/4 cm
A computer and printer cost of $1053 the cost of the computers is two times the cost of the printer. Find the cost of each item
Answer:
Computer = $2106
Printer = $1053
Step-by-step explanation:
Computer - Multiple by 2 = 2106
Printer - Divide by 2 = 1053
Hope this helped the wording was a little confusing, but I hope I got it right.
PLEASE HELP ME WITH KHAN QUESTION
( I will give brainliest )
Answer:
Ok sure where is it?? The Khan Question
A water tank is built in the form of a right rectangular prism and it can hold 136 cubic
feet of water when it is full. Its length is 8.1 ft and its width is 4.1 ft. Find the height of
the water tank in feet. Round your answer to the nearest tenth if necessary.
Answer:
4.1 ft
Step-by-step explanation:
Got it correct on delta 2023
The height of the water tank in feet is 4.1 feet to the nearest tenth.
What is Rectangular Prism?Rectangular prism is a three dimensional shape which consist of six faces. The two faces are at the top and bottom and the other faces are lateral faces.
Given that,
A water tank is built in the form of a right rectangular prism and it can hold 136 cubic feet of water.
Volume of the tank = 136 feet³
Length, l = 8.1 feet
Width, w = 4.1 feet
The formula to find the volume of a rectangular prism is,
Volume = l × w × h, where h is the height of the tank.
Substituting,
8.1 × 4.1 × h = 136
h = 136 / (8.1 × 4.1)
h = 4.095 ≈ 4.1 feet
Hence the height of the tank is 4.1 feet.
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PLEASE Help THIS IS DUE Tomorrow!!!!!!!!!! PLEASE This is urgent
15) Mrs. Sosa bought 35 boxes of pencils for her math class. In all, she
pencils. If each box held the same number of pencils, how many pencils did each box
have?
16) Samirah had 6 7/8 of fabric to make a shirt, if she used 2 1/8 of it how much did she have
left?
17) In Ms. Sosa class she placed 5 chairs for every table. If she had 28 chairs to use, how
many chairs did she have left?
18) If a parking lot has 16 rows and 20 cars fit in each row. How many cars are there in total?
19) There are 25 students in Ms. Sosa class. If 2/5 of her class attend, how many students does
that represent?
Answer:
16. 4 6/8 or 4 3/4
17. 3 chairs
18. 320 cars
19. 10 students
Step-by-step explanation:
15. Not enough Information. I need to know how many pencils she had in all
3 equivalent ratios 7.7: 4.1
Answer:
15.4:8.2
59.29:31.57
31.57:16.81
Step-by-step explanation:
The first one is found by doubling both numbers.
The second one is found by multiplying both numbers by 7.7.
And the final ratio is found by multiplying both numbers by 4.1.
explain how u can use straight angles to find m tpv
Answer:
A straight angle changes the direction you are pointing in. A straight angle looks like a straight line. It has an angle measurement of 180 degrees. Straight angles can be composed of several angles, as long as the angles add up to 180 degrees.
Step-by-step explanation:
Answer: Angles on a straight line add up to 180°.
Step-by-step explanation:
(a+b)(a-b)(b-a)
help please :)
Answer:
a^2b -a^3 +b^3 +ab^2 - 2a^2b
Step-by-step explanation:
(a+b)(a+b) = a^2 + ab + ab + b^2 which simplifies to a^2 + b^2 + 2ab
(a^2 + b^2 + 2ab)(b-a) = a^2b + -a^3 + b^3 -ab^2 + 2ab^2 -2a^2b which simplifies to a^2b -a^3 +b^3 +ab^2 - 2a^2b
Two similar solids have a scale factor or 6:7.
What is ratio of their volumes, expressed in lowest terms?
Answer:
ratio's of their volume is 216 : 343
Explanation:
Let volume of one solid be x, another be y
given scale factor = 6 : 7
volume of solid = a³
solve:
[tex]\sf \frac{x}{y} = (\frac{6}{7} )^3}[/tex]
[tex]\sf \frac{x}{y} = \frac{216}{343} }[/tex]
║ Therefore volume of one solid is 216 and another 343 ║
In ratio form:
216 : 343
Answer:
Ratio's is 216 : 343
Step-by-step explanation:
Volume of one solid is x, and the other is y
Scale factor = 6 : 7
Volume of solid = a³
Solve:
[tex]\frac{x}{y}=(\frac{6}{7})^{3}[/tex]
[tex]\frac{x}{y}=\frac{216}{343}[/tex]
Hence, the volume of one solid is 216 and the other is 343
As a Ratio:
216 : 343
John is putting money into his saving account. He starts with $350 in the savings account, and each week he adds 60$ Let y represents the total amount of money in the saving account (in dollars), and let x represent the number of week John has been adding money. Write an equation relating y to x. Then use this equation to find the total amount of money in the savings account after 13 weeks
Which is the ratio of the opposite leg to the hypotenuse in a right triangle?
Secant
Cosine
Tangent
Sine
Answer:
Cosine
Step-by-step explanation:
Cosine is defined as:the ratio of the length of the leg adjacent to the angle and the length of the hypotenuse Hypotenuse- the side opposite the right angle in a right triangle Law of Cosines- a set of relations in trigonometry that helps to solve oblique triangles.
4. Each team in a youth soccer league pays $784 10
consists of 12 players and the fee is divided equally
does each player pay?
Show your work
Answer
Which data set has a median of 9?
simplify; 4/9 + 1/3
a. 5/12
b. 7/9
c. 1 1/9
d. 1 5/9
Answer:
7/9
Step-by-step explanation:
if you add the two numbers you will get 7/9
I need friends, kindly follow me everyone<3
PLEASE HELP PLEASE , I NEED IT RIGHT NOW PLEASE
Keith served ice cream to his 3 children.He gave each child
4 2/3 onces.How many onces did he served altogether?
Answer:
14 ounces!
Step-by-step explanation:
It's actually quite simple, it's easy too overlook these questions but don't worry, I will help
All you really have to do is count up, what I do is temporarily forget about the fractions I focus on the main number (which in this case is 4) you want to times 4 by the amount of children so (3) 4×3=12
Now the fraction part, all you have to do is count up! 2/3, then 3/3 then 1 1/3 then 1 2/3 then 2!
Now add the original number by the result of the fraction number so 12+2= 14!
you are asked by your mother to help her prepare food packs for your sister birthday when you counter the food packs there we're only 36 packs when your sister is infecting 53 guess what percentage of the total food packs has been prepared what percent is needed to be packed to complete it
Answer:
completed packing: 67.9245%
not done yet: 32.0755%
Explanation:
given:
36 has been packed.total inviting 56 guestsnot done: 53 - 36 = 17 packagessolve:
[tex]\sf \dfrac{36}{53} *100[/tex]
67.9245%
67.9%
67.9% of the packaging has been done.
Not been ready: [ total shall be 100% ]
100% - 67.9245%
32.0755%
32.1%
32.1% needs to be packed in order to complete packaging.
В.
3
2
In the similarity
transformation of AACB
to ADFE, AACB was dilated by
a scale factor of 1/3, reflected
3 across the x-axis, and moved
through the translation [? ].
C
7
-6
-5
4 -3
-2
A
10
F
-1
2
D
-2.
TE
-3
A. (x+1, y+1)
B. (x+0, y+1)
C. (x+2, y-1)
D. (x+1, y-1)
Answer: C
Step-by-step explanation:
We can test point A.
After the dilation, A has coordinates (0, 0).
After the reflection, A has coordinates (0, 0).
Since we know that after the translation, (0,0) has to map onto (2,-1), we know the translation is 2 units right and 1 unit down.
Which equation represents the graph of f(x) = 4x3 - 3x² + 8x - 6 after a reflection over the x-axis?
Step-by-step explanation:
If we have a function,
[tex]f(x)[/tex]
We can rotate the function across the x axis using the rule
[tex] - f(x)[/tex]
So we have function
[tex]f(x) = 4 {x}^{3} - 3 {x}^{2} + 8x - 6[/tex]
[tex]f(x) = - ( {4x}^{3} - 3 {x}^{2} + 8x - 6)[/tex]
[tex]f(x) = - 4x {}^{3} + 3 {x}^{2} - 8x + 6[/tex]
Here is an equation for a circle: (x-3)^2 + (y+10)^2 = 81.
Check if these points are on, inside, or outside the circle.
1. (3, -1)
2. (-8, -12)
3. (0, 0)
4. (1, -1/2)
Answer: 2.
Step-by-step explanation: Write the equation of the circle using h = 2, k = –1, and r = ... (x – 1). 2. + y. 2. = 4 is a circle with center (1, 0) and a radius of 2.
What is the mean? Thank you math experts
The Mean is simply the average of all the numbers. Meaning(see what I did there):
The answer is D) 49.3
To find the Mean all you have to do is find the average for all the numbers. That's what a Mean is. So put simply all you have to do is add all the numbers and divide by how many there are.
43+55+51+62+64+38+35+45+51 =
444 / 9 ≈
49.3 or 49.333333333333333333...
~Neo
14x + 11 > -227 I NEED HEP
Answer: [tex]x < -27.7142857[/tex]
Step-by-step explanation:
First, you move 11 to the right side, resulting in 14x > -338
Then you divide -388 by 14, which is 27.7142857, so the final statement is
[tex]x < -27.7142857[/tex]Could you give me the brainiest please if I am right?
Answer:
x > -17
Step-by-step explanation:
1. You would subtract 11 from both sides. Like this (14x + 11 - 11 > -227-11)
2. Simplify it (14x > -227 - 11)
3. Next, you would subtract -227 by 11 which will give you -238 (14x > -238)
Isolating the X:
1. Divided both sides by 14 (14x/14) and (-238/14)
2. Simplify the fraction (x > -238/14)
3. You would have to find the GCF of the numerator and the denominator (x > -17 · 14/1 · 14)
4. You factor out and cancel the GCF (x > -17)
In your own words, how can we check that two polygons are congruent?
Step-by-step explanation:
If we can apply rigid transformations to the polygon for example, rotating the polygon, Translating the polygon, or reflecting the polygon , and we get a new image of A ppolygon, then the polygon will be congruent.
Simplify the expression:
3x4x5+1b
Answer:
60+1b
Step-by-step explanation:
Multiply the numbers without variables:
3x4=12
12x5=60
Next put the equations together:
60+1b
Hence, the correct answer is 60+1b
Answer:
60+1b
Step-by-step explanation:
3x4=12
12x5=60
So, your final equation is 60+1b
