Answers
Answer
d
Step-by-step explanation: The chain rule states that the derivative of f(g(x)) is f'(g(x))⋅g'(x). In other words, it helps us differentiate *composite functions*.
Related Questions
Write an equation for the line that passes through (0, -9) and (3, 0).
y = 3 x + 9
y = 3 x + 3
y = 3 x - 9
y = -9 x + 3
Answers
Answer:
y = 3x - 9
Step-by-step explanation:
1) First, find the slope of the line between the two points. Use the slope formula [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex] and substitute the x and y values of (0,-9) and (3,0) into the formula and simplify:
[tex]m = \frac{(0)-(-9)}{(3)-(0)} \\m = \frac{0+9}{3} \\m = 3[/tex]
So, the slope is 3.
2) Look at all the options. All the equations are in slope-intercept form since they are in a [tex]y = mx + b[/tex] format. Remember that [tex]m[/tex], or the coefficient of the x-term, is the slope. [tex]b[/tex], or the y-intercept, represents the y-intercept.
Knowing this, the answer must be [tex]y = 3x-9[/tex]. The number in place of [tex]m[/tex] is 3, which is the slope we just calculated. Also, since we know that the line passes through (0, -9), that must be the y-intercept since all points on the y-axis have an x-value of 0.
Pablo has had his model bridge approved and is now able to start construction on it.The model is 2 feet and 3 inches tall. If the scale for the actual bridge is 1 inch = 3 feet, how tall will his cover bridge be?
Answers
Answer:
81 feet tall
Step-by-step explanation:
2*12=24
24+3=27
27*3=81
Answer the question based on the data in the two-way table.
Grades
Gender
Below Above
Average Average
Boy 14 23
Total
37
Girl
16
22
38
Total
30
45
75
Which statement is true?
O A. Aboy above average grades) = P(boy)
B.
Pabove average grades boy) = Pabove average grades)
Ос.
Pboy above average grades) # Pabove average grades)
OD. Pabove average grades| boy) = P(boy)
Answers
Answer:
d
Step-by-step explanation:
P(boy above average grades) P(above average grades) is the right answer. The correct option is C.
What is conditional probability?The likelihood that event A will occur provided that event B has already happened is known as conditional probability. It is written as "the probability of A given B" and is indicated by the symbol P(A|B).
We must employ conditional probability in order to respond to this inquiry. We are aware that there are 75 pupils in the class overall, with 37 boys and 38 girls. We also know that 22 girls and 23 boys both have GPAs above the national average.
A. Boy with above-average grades equals a boy.
This claim is untrue. The likelihood of picking a guy at random from the class is 37/75, or P(boy). The likelihood of picking a kid from the class who has above-average grades at random is 23/75, or P(boy with average grades). The odds of these two events are not equal.
B. Boy with above-average grades equals P with above-average grades
This claim is untrue. The chance of picking a student with above-average grades at random from the class is P(above average grades), which is (23+22)/75 = 45/75. The likelihood of picking a kid from the class who has above-average grades at random is 23/75, or P(above-average grades boy). The odds of these two events are not equal.
P (boy with above-average grades) C (boy with above-average grades)
This assertion is accurate. P(boy over average grades) = 23/75 and P(above average grades) = 45/75, respectively, are already known values. The odds of these two events are not equal.
D. P(boy | grades over average) = P(boy)
This claim is untrue. The conditional probability that a student will have above average grades given that they are a boy is P(above average grades | boy), which is 23/37. The likelihood of picking a guy at random from the class is 37/75, or P(boy). The odds of these two events are not equal.
Therefore, the correct statement is C. P(boy above average grades) ≠ P(above average grades).
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To the nearest tenth of a centimeter what is the length of side ab
Answers
The length of side AB in the given triangle is 22.6. The correct option is the first option 22.6
Calculating the side length of a triangleFrom the question, we are to determine the length of side AB in the given triangle.
Using the law of sines, we can write that
AB/sinC = BC/sinA
From the diagram,
C = 50°
BC = 19
A = 40°
Thus,
AB/sin50° = 19/sin40°
AB = (19 × sin50°) / sin40°
AB = 22.6433
AB ≈ 22.6
Hence, the length is 22.6
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Use 1% or 10% method to estimate. Show all work. 38% of 15
Use 1% or 10% method to estimate. Show all work. 4% of 220
Use 1% or 10% method to estimate. Show all work. 29% of 75
would like it soon, its homework due in a bit.
Answers
Answer:
DIVIDE THE TWO ANWSER
Step-by-step explanation:
You pull a marble from a bag with 20 red 20 white and 10 green marbles. You hold onto it and then pull another marble. What is the probability of pulling a red marble and then pulling a green marble?
Answers
The probability of pulling a red marble and then pulling a green marble is,
⇒ 3 / 5
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
We have to given that;
You pull a marble from a bag with 20 red 20 white and 10 green marbles.
Here, Total number of marbles = 20 + 20 + 10
= 50
Thus, The probability of pulling a red marble is,
⇒ 20 / 50
⇒ 2 / 5
And, The probability of pulling a green marble is,
⇒ 10 / 50
⇒ 1 / 5
Therefore, The probability of pulling a red marble and then pulling a green marble is,
⇒ 2 / 5 + 1 / 5
⇒ 3 / 5
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PLEASE I NEED THIS NOW, AND EXPLICATION
Answers
Answer:49.5
Step-by-step explanation:so if 1 inch equal to 3 yards then 7.5 will be 21.5 and 6 inchs will be 18 so if you all together you will get 49.5
Answer:
36
Step-by-step explanation The answer would be 36 because A=a2=62=36 and the math added to 36 hope this helped.
A survey of Mrs. Ramirez's students showed that 30
students will have pizza fonlunch, 17 will have macaroni
and cheese, 12 will have a hamburger, and 5 will have
chicken fingers. Suppose Mrs. Ramirez surveys all 1 200
students in the school. How many students can she
expect to choose hamburgers for
Hunch?
Answers
Answer: 480
Step-by-step explanation:
We can create a ratio for this!
We have:
[tex]\frac{number of hamburgers}{total students}[/tex]= [tex]\frac{new number of hamburgers}{new number of students}[/tex]
We can use substitution to input the information we already know:
[tex]\frac{12}{30}[/tex] = [tex]\frac{x}{1200}[/tex]
Using cross multiplication, we get:
1 200(12) = 30x
14,400 = 30x
[tex]\frac{14,400}{30}[/tex]=[tex]\frac{30x}{30}[/tex]
x = 480
Hope this helps! :)
The number of students expect to have hamburgers for lunch is 225 students.
What is a word problem?
A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
For the given situation,
Mrs. Ramirez's survey on students
Number of students have pizza = 30
Number of students have macaroni and cheese = 17
Number of students have a hamburger = 12
Number of students have chicken fingers = 5
Total number of students = 64.
Now, Mrs. Ramirez surveys all 1 200 students.
Then number of students expect to choose hamburgers for lunch can be found by,
[tex]\frac{Number of students have hamburgers}{Total number of students} = \frac{Number of students expect to have hamburgers}{ Total number of students}[/tex]
Let x be the number of students expect to have hamburgers.
⇒ [tex]\frac{12}{64}=\frac{x}{1200}[/tex]
⇒ [tex]x=\frac{(12)(1200)}{64}[/tex]
⇒ [tex]x=225[/tex]
Hence we can conclude that the number of students expect to have hamburgers for lunch is 225 students.
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Use the geometric series 5^Ž (8)*-* to answer each question.
n=1
What are the terms in the series?
1 + 8 + ___+ ____+ ____
Answers
Answer:
First one is:
1 + 8 + 64 + 512 + 4096
Second one is:
73
Answer:
First one is:
1 + 8 + 64 + 512 + 4096
Second one is:
73
Step-by-step explanation:
In a sequence of numbers, a4=12, a5=14, a6=16, a7=18, and a8=20.
Which equation can be used to find the nth term of the sequence, an?
a) an=2n+4
b) an=2n+12
c) an=3n
d) an=3n+12
I'm pretty sure it's a, but I just wanna check if I did the work right!
Answers
Answer:
you are right, it's a)❤
Step-by-step explanation:
a4=12---> put the formula in it
2×4+4=12
a5=14---> 2×5+4=14
a6=16---> 2×6+4=16
.
.
.
hope it helps❤
ANSWER THE QUESTION FOR BRAINLIEST
Answers
Answer:
not a straight line
Step-by-step explanation:
Linear has the word "line" in it. A linear relation has a graph shaped like a straight line.
Nonlinear means "not like a straight line".
Answer: not a straight line
What is the solution to the equation StartFraction 1 Over h minus 5 EndFraction + StartFraction 2 Over h + 5 EndFraction = StartFraction 16 Over h squared minus 25 EndFraction?
Answers
Answer:Hi i think its 50 x 16= ur answer think about that hopes this helpp!!! :D
Step-by-step explanation:
Answer:
the answer is h=7
Step-by-step explanation:
PLEASE HELP!! I don't really know how to solve this.
Answers
Answer:
x=13
y=14
Step-by-step explanation:
We know that angle JNK is equal to angle MNL. We also know that angle JNK and angle KNL are supplementary.
Knowing this, we can write two equations: [tex]4x-1=3y+9[/tex] and [tex](4x-1)+(2x+6y+19)=180[/tex]. We can solve for y in the first equation. Subtracting 9 from both sides gives us [tex]4x-10=3y[/tex]. Dividing both sides by 3 gives us [tex]\frac{4x-10}{3} =y[/tex].
We can plug that in to the second equation to get [tex](4x-1)+(2x+6(\frac{4x-10}{3} )+19)=180[/tex]. Expanding the second parenthesis, we get [tex]2x+8x-20+19[/tex] which equals [tex](10x-1)[/tex]. We now have [tex](4x-1)+(10x-1)=180[/tex]. Expanding gives us [tex]14x-2=180[/tex]. Adding 2 to both sides gives us [tex]14x = 182[/tex]. Dividing both sides by 14 gives us [tex]x=13[/tex].
We can now plug 13 into the above equation to solve for y. [tex]y= \frac{4*13-10}{3}[/tex] Solving that gives you [tex]y=14[/tex].
what is the area of the rectangular piece of wood?
Answers
Answer:
2x^2 + 7x + 3 is the area of the rectangular piece of wood.
Step-by-step explanation:
Here,
Length ( l ) = x + 3
Breadth ( b ) = 2x + 1
Formula : -
Ar ( rectangle ) = lb
lb
= ( x + 3 ) ( 2x + 1 )
= x ( 2x + 1 ) + 3 ( 2x + 1 )
= 2x^2 + x + 6x + 3
= 2x^2 + 7x + 3
Find the value of the
trig function
a. Cos Ɵ = 2/5 find Tan Ɵ
b. Cosec Ɵ = 7/3 find Cos Ɵ
c. Cot Ɵ = 4/3 find Sec Ɵ
d. Tan Ɵ = 3 find Cosec Ɵ
Answers
Answer:
a.
cos θ = 2/5, tan θ = ?
tan θ = sin θ / cos θ tan θ = √sin² θ / (2/5) tan θ= 5√(1 - cos²θ) / 2 tan θ = 5√(1 - 4/25) / 2 tan θ = 5√(21/25) / 2 tan θ = √21 / 2b.
cosec θ = 7/3, cos θ = ?
cosec θ = 1/ sin θ cosec θ = 1/ √(1 - cos²θ) √(1 - cos²θ) = 1 / cosec θ1 - cos²θ = (1 / (7/3))² cos²θ = 1 - 9 / 49cos²θ = 40/49cos θ = √40/49cos θ = 2√10/7c.
cot θ = 4/3, sec θ = ?
cot θ = cos θ / sin θcos θ = cot θ * sin θcos θ = 4/3 * √(1 - cos²θ)9cos²θ = 16(1 - cos²θ)25cos²θ = 16cos²θ = 16/25cos θ √16/25cos θ = 4/5sec θ = 1/ cos θsec θ = 1/ (4/5)sec θ = 5/4d.
tan θ = 3, cosec θ = ?
sin²θ + cos²θ = 11 + cos²θ/sin²θ = 1/ sin²θ1 + 1/tan²θ = cosec²θ1 + 1/9 = cosec²θcosec²θ = 10/9cosec θ = √(10/9)cosec θ = √10 / 3There were 650 fruit in a fruit stall. 62% of the fruit were sold. How many fruit were left?
Answers
Answer:
62/100 multiplied by 650 which is 403 fruits left
Which statement correctly compares the function shown on this graph with
the function y = 5x + 5?
-10-8-642
2 4 6 8 10
A. The function shown on the graph has a smaller rate of change and
a lower starting point.
B. The function shown on the graph has the same rate of change, but
a lower starting point.
OC. The function shown on the graph has the same rate of change, but
a higher starting point.
D. The function shown on the graph has a smaller rate of change, but
the same starting point.
Answers
someone help me pls
Answers
Answer:
x=10
Step-by-step explanation:
Both of the tangents will be equal.
6x+17=16x-8
or, 10x=25
So, x=2.5
Rounding to the nearest tenth is 10.
What is 74 in standard form? O A. 11 OB. 28 Oc. C. 2, 401 O O D. 16,384
Answers
Answer:
oc2
Step-by-step explanation:
because
Jamal can run 0.5 miles in 4 minutes. If he keeps the same pace and runs for 14.4 minutes, how many miles will he have run?
Answers
Answer:
1.8
Step-by-step explanation:
First, we calculate the speed. That is 0.5/4. Then we multiply by the min. he ran which is 14.4. The answer gets you to 1.8
By the way, can you follow me on Brainly?
Thanks!
Answer:
14/4=3.5
3.5x0.5=1.75 miles
He will have run 1.75 miles
write a mathematical equation and calculate the area of the irregular polygon
Answers
Match each inequality to the number line that represents its solution. x – 99 ≤ -104 x – 51 ≤ -43 150 + x ≤ 144 75 < 69 – x
Answers
Please help due in 5 min.
Answers
Answer:
1
Step-by-step explanation:
3×60=180
180÷45=4
4-3=1
Solve the system: 10x-9y=8 21y+15x=0.5
PLEASE HELP NEED ASAP
Answers
Answer:
x = 1/2
y = -1/3
Step-by-step explanation:
10x - 9y = 8 (Multiply by 3)
15x + 21y = 0.5 (Multiply by -2)
30x - 27y = 24
-30x - 42y = -1
-69y = 23
y = -1/3
10x - 9y = 8
10x - 9(-1/3) = 8
10x + 3 = 8
10x = 5
x = 1/2
Rosa made a mosaic wall mural using 44 black tiles, 30 blue tiles and 26 red tiles. Enter a percent to represent the number of red tiles in the mural. The number of red tiles in the mural represents ___%
Answers
26/100
Step-by-step explanation:
26%
44+30+26=100
26/100
0.26
26%
Find the area of the figure.
Answers
Answer:
24
Step-by-step explanation:
Split the polygon into three triangles and a square, then find the areas of each and they add up to 24.
Answer:
let me know if it's the right answer or not:) also I learned this awhile
Find the a. Median b. Median c. Mode and d. Range of the following scores 60, 70, 90, 70, 80, 65, 95, 80, 100, 60
Answers
Answer:
median-75
mode-70
range-40
mean-77
Step-by-step explanation:
What is the product of the polynomials below?
(4x^3+8x)(x^2-3)
Answers
Answer:
4x^5 - 4x³ - 24x
Step-by-step explanation:
Answer:
4x^5 - 4x³ - 24x
Step-by-step explanation:
Distribute
[tex](4x^3+8x)(x^2-3)[/tex]
[tex]4(x^{2} -3)x^{3} +8x(x^{2} -2)[/tex]
Distribute
[tex]4(x^{2} -3)x^{3} +8x(x^{2} -2)[/tex]
[tex]4x^{5} -12x^{3} +8x(x^{2} -3)[/tex]
Distribute
[tex]4x^{5} -12x^{3} +8x(x^{2} -3)[/tex]
[tex]4x^{5} -12x^{3} +8x^{3} -24x[/tex]
Combine like terms
4x^5 - 4x^{3} - 24x
Use graphs and tables to find the limit and identify any vertical asymptotes of the function.
limit of 1 divided by the quantity x minus 10 squared as x approaches 10
PLEASE ASNWER ASAP WITH WORK IN A TABLE PLEASE
Answers
Answer:
Step-by-step explanation: Given is a function as 1 divided by the quantity x minus 10 squared
Mathematically translating we get
the function
Since the function become undefined at x=10 we get
vertical asymptote is
x=10
Limit x tends to 10 of f(x) will exist since both limits are equal
This is because let x tends to 0 from left.
Then we have
f(x) =
Right limit also will be +infinity
This is because the curve is symmetrical about x=10 and hence limit would be +infinity.
write down the number in a condensed form:
200 + 40 + 5 +0.3 + 0.07
Answers
Answer:
answer is 240.37
Step-by-step explanation:
i added each one together add the ends and then got 240.37 (btw I'm in 4 grace)
The condensed form of the given expression 200 + 40 + 5 +0.3 + 0.07 is 245.37.
Given expression is [tex]200 + 40 + 5 +0.3 + 0.07[/tex]
It is required to find condensed form.
What is condensed form of an expression?Condensed form is the representing the expression in the composite way.
By solving the expression
[tex]=200 + 40 + 5 +0.3 + 0.07[/tex]
[tex]=245.37[/tex]
Thus, the condensed form of the given expression is 245.37.
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