Answer:
4/x = [tex]\frac{\pi }{6}[/tex], 5 [tex]\frac{\pi }{6}[/tex]
Step-by-step explanation:
Sorry if I am wrong
The average rate of change of the function in the given interval [0, π] is [tex]\dfrac{2}{\pi }[/tex].
What is the average rate of change?The average Rate of Change of the function f(x) can be calculated as;
[tex]f(x) = \dfrac{f(b) - f(a)}{b-a}[/tex]
The given function is f(x) = 2sin(1/2)x on the interval [0, π]
Here a = 0
b = π
f(a) = 2sin(1/2)a
f(0) = 0
f(b) = 2sin(1/2)π = 2
Step 2: Find Average
[tex]f(x) = \dfrac{f(b) - f(a)}{b-a}\\\\f(x) = \dfrac{2- 0}{\pi }\\\\f(x) = \dfrac{2}{\pi }\\[/tex]
Therefore, the average rate of change of the function in the given interval [0, π] is [tex]\dfrac{2}{\pi }[/tex].
Learn more about average rate;
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A vehicle purchased for $29,800 depreciates at a constant rate of 4%. Determine the approximate value of
the vehicle 10 years after purchase. Round to the nearest whole dollar.
Answer:
$44104
Step-by-step explanation:
Given data
Cost = $29800
Rate= 4%
Time= 10years
Applying the formula below, we can find the cost after 10 years as
A=P(1+r)^t
A= 29800(1+0.04)^10
A=29800(1.04)^10
A=29800*1.480
A=$44104
Hence the new cost is $44104
HELP TIMED URGENT PLS
Answer:
3 cm!
Step-by-step explanation:
Volume= length times width times height
90/3=30
30/10=3!
50 POINTS!! URGENT !! PLS HELP
Answer:
Option C
Step-by-step explanation:
The two triangles will be similar if the ratio of their corresponding sides are proportional. Let's check this ,
1st side :-
= 8:3
2nd side :-
= 10 : 4 = 5:2
3rd side :-
= 6:5 .
Since the ratio of the sides of triangle are not same therefore that 2 triangles are not similar .
Option C is correct .
please help! i’ll mark brain list!!
Answer:
160
Step-by-step explanation:
LxWxH divided by 2
8x8x5=320
320/2=160
Find the scale factor used to go from the actual picture to the scale drawing!
Answer:
1/3
Step-by-step explanation:
9:6
3:2
9/3 = 3
6/2 = 3
9 x (1/3) = 3
6 x (1/3) = 2
scale factor is 1/3
Graph this function.
F(x)= -1/3x + 8
I need help ASAP! The -1/3x is a fraction. Can anyone help?
Step-by-step explanation:
Rewrite the function as an equation.
[tex]y = - \frac{x}{3} + 8[/tex]
Rewrite in slope-intercept form.
[tex]y = - \frac{1}{3} x + 8[/tex]
Use the slope-intercept form to find the slope and y-intercept.
Slope : - 1/3
y-intercept: (0,8)
Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.
Graph the line using the slope and the y-intercept, or the points.
giving out brainliest answer !!!! help me out asap please !!!!
Answer:
8.07
Step-by-step explanation:
sin(48)=x/6
6sin(48)=x
The periscope of a submarine is at sea level. The boat captain spots an airplane with
an elevation angle of 30°. The airplane is flying at an altitude of 2000 feet.
The straight line distance between the submarine and the airplane is...
Answer:
The airplane is 100.4 flying at an altitude of 30,000 feet. AB = 210,000 feet. At what angle is the plane descending (the angle of depression)?. Above is a picture of astronauts ...
7 pages·477 KB
The straight line distance between the submarine and the airplane is 4000 feet.
What is trigonometric ratio?Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
Let d represent the straight line distance between the submarine and the airplane. Hence:
sin(30) = 2000/d
d = 4000 feet
The straight line distance between the submarine and the airplane is 4000 feet.
Find out more on trigonometric ratio at: https://brainly.com/question/24349828
What is the absolute value of 8.15
Answer:
pretty sure its 8.15
Step-by-step explanation:
Solve for x.
Enter the solutions from least to greatest.
(2x + 4)(3x − 2) = 0
lesser x =
greater x =
Answer:
lesser x = -2, greater x = 2/3
Step-by-step explanation:
(2x+4)= 0 ---> bring 4 to the other side
2x=-4 ----> divide by 2 on both sides
x= -4/2 = -2 ----> simplify
(3x-2)= 0 ----> bring the 2 to the other side
3x=2 ----> divide by three on both sides
x=2/3
hope this helps!
the initial deposit into an account?
a. compound interest
b. simple interest
c. interest rate
d. principal
Answer:
B
Step-by-step explanation:
Simple interest is based on the principal amount of a loan or deposit.
4x + 7y - 3x - y show work please
Answer:
Step-by-step explanation:
4x + 7y - 3x - y
Move like terms next to each other.
4x - 3x + 7y - y
Subtract them
4x-3x= 1x or x
7y-y = 6y
So we have:
x + 6y
Enter a value of b that will make the expression factorable.
x2^ + bx – 40
Are these triangles similar? If yes, write a similarity statement.
Consider the following statement. ∀a ∈ Z, (a − 1) a is not an integer. (a) Select the correct negation for this statement. For every integer a, a − 1 a is an integer. There is an integer a such that a − 1 a is not an integer. For every integer a, a − 1 a is not an integer. There is an integer a such that a − 1 a is an integer. (b) Is the given statement true or false? If the statement is true, enter TRUE; if the statement is false, enter a value of a that could be used as part of a counterexample that justifies its falseness.
Answer:
a) There is an integer a such that [tex]\frac{a-1}{a}[/tex] is an integer
b) False
Step-by-step explanation:
Statement : ∀a ∈ Z, (a − 1) a is not an integer
A) The correct negation will be :
There is an integer a such that [tex]\frac{a-1}{a}[/tex] is an integer
B) The Given statement is FALSE because
when we assume the value of a = 1
( a - 1 ) / a = (1 - 1 ) / 1 = 0 ; which is an integer
Let f(x) = 9 – x g(x) = 3 – x. Find (f – g)(x)
Answer:
Step-by-step explanation:
Remark
This would be easier to understand if it was written like f(x) - g(x). You might see what the question really is.
Equation
(f - g)x = f(x) - g(x)
Solution
(f - g)x = 9 - x - (3 - x) remove the brackets
(f - g)x = 9 - x - 3 + x
(f - g)x = 6
Peter had 6 crayons. Mike gave Peter some more crayons. Then Peter had
13 crayons in all. How many crayons did Mike give Peter?
What type of problem is this, add to/take from: put together/take apart,
or compare? Type your response here.
Solve the problem in the space below.
Answer:
7
Step-by-step explanation:
13-6=7 compare maybe.....
The graph of a linear function
is shown on the grid.
What is the rate of change of y with respect to x for this function?
Record your answer in the space below.
How many, and what type of solutions, does 6x squared - 2x + 7 = 0 have
Answer:
the correct answer is 2 no real solurions hope this helps
what is 91,360 in expanded form
Answer:
Expanded Notation Form:
91,360 =
90,000
+ 1,000
+ 300
+ 60
+ 0
Expanded Factors Form:
91,360 =
9 × 10,000
+ 1 × 1,000
+ 3 × 100
+ 6 × 10
+ 0 × 1
Expanded Exponential Form:
91,360 =
9 × 104
+ 1 × 103
+ 3 × 102
+ 6 × 101
+ 0 × 100
Word Form:
91,360 =
ninety-one thousand three hundred sixty
Hope this helps! mark me as brainliest if possible, you dont have too!
Step-by-step explanation:
What is the area of the school crossing sign represented below?
15 inches 15 inches
15 inches
15 inches
help me plsss
if a number × is increased by 11,the result is 35.What is the number?
Answer:
24
Step-by-step explanation:
Equation: x + 11 = 35
1. Subtract 11 from both sides
x + 11 = 35
-11 -11
x = 24
Answer:
x is 24
Step-by-step explanation:
Let's write it down as an equation
If number x is increased by 11, we'll write is as x+11 and the result of that is 35, so x + 11 = 35
x + 11 = 35 implies that
x = 35 - 11
35 - 11 = 24
x = 24
ALGEBRA
tell whether the given value is a solution of the equation. (yes or no)
1. x+16=20;x+4
2. p-4+28;p+32
3. 4w+44;w=10
4. y/6= 6;y=24
Step-by-step explanation:
1. yes 4+16 = 20
2. yes 32 - 4 = 28
3. yes 4(10) = 40
4. no 24/6 = 4
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
1.yes
2.yes
3.yes
4.no
During the Falcons game, Julio Jones ran a straight route 40 yards up the sideline before turning around and catching a pass from Matt Ryan. Defender, Malcolm Butler, who started 20 yards across the field from Jones, saw the play setup and ran horizontally toward the receiver. What was the distance the defender had to run to get to the spot where Jones caught the ball? (PLS DONT GIVE WEBSITE PLS JUST ANSWER)
Answer:
its 20 because he ran 20 from jones
If a dozen dozen candies cost a half-a-dozen dimes a dozen, how much will a half-a-dozen dozen candies cost?
Answer:
74
Step-by-step explanation:
The cost of half-a-dozeon dozen candies for this case will be $3.6
How much a dozen consists of ?A dozen of a thing means 12 of such thing is in consideration. If we say we have a dozen pencils, then twe mean we have 12 pencils.
For this case, it is given that:
Cost of a dozen dozen candies = half a dozen dimes a dozenCost of a half a dozen dozen candies = ? (to find)A dozen contains 12 quantities.
A dozen dozen candies means 12 times 12 = 144 candies
half a dozen dimes dozen cost = (12/2) × 12 dimes = 72 dimes
That means:
144 candies cost 72 dimes.
Dividing both quantities by 144 to get price of 1 candy:
144/144 = 1 candy's price = 72/144 dimes = 0.5 dimes = 0.05 dollars (1 dime = 0.1 dollars)
Half a dozen times dozen candies = 72 candies
1 candy costs 0.05 dollars
72 candies cost [tex]72 \times 0.05 = 3.6[/tex] dollars.
Thus, the cost of half-a-dozeon dozen candies for this case will be $3.6
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Ben's Parents give him a 10% raise in his weekly allowance. His new allowance is $22.00. what was his old allowance?
Answer:
20
Step-by-step explanation:
20 dollars plus 10% = 22
A statistics teacher wants to see if there is any difference in the abilities of students enrolled in statistics today and those enrolled five years ago. A sample of final examination scores from students enrolled today and from students enrolled five years ago was taken. You are given the following results. T
oday 5 Years Ago Mean 82 88 Variance 112.5 54 Sample Size 45 36
The standard deviation of the difference between the means of the two populations is
A) 12.9
B) 9.3
C) 4
D) 2
Answer: D) 2
Step-by-step explanation:
The standard deviation of the difference between the means of the two populations is given by:-
[tex]S.E.=\sqrt{\dfrac{\sigma^2_1}{n_1}+\dfrac{\sigma^2_2}{n_2}}}[/tex]
where [tex]n_1[/tex]= sample size of population 1
[tex]n_2[/tex]= sample size of population 2
[tex]\sigma^2_1[/tex]= variance of population 1
[tex]\sigma^2_2[/tex]= variance of population 2
As per given,
[tex]S.E.=\sqrt{\dfrac{112.5}{45}+\dfrac{54}{36}}}\\\\=\sqrt{4}\\=2[/tex]
Hence, the correct option is D) 2.
what is the area of the composite figure
Answer:
D) 476 ft²
Step-by-step explanation:
12x14=168
(25+31)/2=28
28x11=308
308+168=476
Please help give me the brainliest answer
Answer:
±[tex]2\sqrt{6}i[/tex]
Step-by-step explanation:
±√24
±√-1 √24
±√24 i
±2√6 i
What is the product of (t – 4) (t? + 2t - 6)?
Answer:
Step-by-step explanation:
(t - 4) (t + 2t - 6)
= t2 + 2t2 - 6t - 4t - 6t + 24
= Solving like terms
= 3t2 - 16t + 24