Answer:
The answer is 10 Songs
Step-by-step explanation:
Total hour=5/6=5/6×60=50min
Each song=1/12=1/2×60=5mins
Number of song sang=Total hour/Each song sang
N=50/5=10 songs
f(x+h)-f(x)
h
lim:
h→0
i) The average rate of change of f(x) over the interval [x, x + h]
ii) The slope of the line tangent to f(x) at the point (x, f(x))
iii) The slope of the line secant to f(x) over the interval [x, x + h]
iv) The derivative of f(x)
O A. ii and iii
O B. i and iii
O c. ii
OD. i
...
O E.
i and iv
O F. ii and iv
Answer: F
Step-by-step explanation:
(i) The interval is meant to have infinitesimal width because the limit is approaching 0.
(ii) This gives the derivative at \((x, f(x))\), which is the same as the slope of the tangent line.
(iii) False, this deals with the tangent line, not the secant.
(iv) True by definition.
Write an equation to find x
Answer:
180 - 105 = x-2
hope this helped and brainliest please
I need some help with this
\(\pink{\underline{{\boxed{\bf{QUESTION: }}}}}\)
-6(x+4) = _____
\(\pink{\underline{{\boxed{\bf{OPTIONS:}}}}}\)
6x - 4❌-6x + 4❌-6x - 24✔️6x + 24❌\(\pink{\underline{{\boxed{\bf{ ANSWER: }}}}}\)
-6(x+4) = -6x - 24
Hope It's helped! :)19x+4 find the value of x
Answer:
x= -4/19
Step-by-step explanation:
19x+4
19x+4=0
19x= - 4
x= -4/19
The manager of a local fast-food restaurant is concerned about customers who ask for a water cup when placing an order but fill the cup with a soft drink from the beverage fountain instead of filling the cup with water. The manager selected a random sample of 80 customers who asked for a water cup when placing an order and found that 23 of those customers filled the cup with a soft drink from the beverage fountain.
a) Construct and interpret a 95 percent confidence interval for the proportion of all customers who, having asked for a water cup when placing an order, will fill the cup with a soft drink from the beverage fountain.
b) The manager estimates that each customer who asks for a water cup but fills it with a soft drink costs the restaurant $0.25. Suppose that in the month of June 3,000 customers ask for a water cup when placing an order. Use the confidence interval constructed in part a) to give an interval estimate for the cost to the restaurant for the month of June from the customers who asked for a water cup but fill the cup with a soft drink.
Step-by-step explanation:
a cup of water must be without money, as you asked for money it does not come to that restaurant
A coat and a pair of boots are on sale for 20% off. the regular price of the coat is 225$. the regular price of the boots is 130$. find the sale price of the coat. Explain. What is the sale price of the boots?
The sale price of coat is $180 and the sale price of boot is $284 when 20% off a coat and a pair of boots are now on sale.
Given that,
20% off a coat and a pair of boots are now on sale. The coat normally sells for $225. The boots cost $130 on the open market.
We have to find the coat's sale price and what is the cost of the boots on sale.
We know that,
The formula for the sales price is S = P - PD
Where, S is sales price, P is the original price and D is the discount percent.
P = 225 and D = 20%
S = 225 - 225 × 20%
S = 225 - 45
S = $180 is the sale price of coat.
Now,
Total regular price = 225 + 130 = 355
S = 355 - 355 × 20%
S = $284 is the sale price of boots.
Therefore, The sale price of coat is $180 and the sale price of boot is $284.
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Which is more, 6 liters or 6,001 milliliters?
Answer: 6,001 milliliters
Step-by-step explanation: 6 Liter translates to 6,000 milliliters, which is 1 less than 6,001 milliliters.
Answer:
I believe 6 liters is more.
Toby plans to keep the tadpole he caught at the local fishing pond in a bowl that is shaped like half a basketball. The ball has a diameter of 9 inches. Will the bowl hold the 200 cubic inches of water needed for the tadpole to survive?
The coliseum has a volume of roughly 152.25π cubic inches. It is safe to say that the bowl may not be able to hold the 2022 cubic inches of water.
How to Solve the Problem?To determine if the coliseum will hold 200 boxy elevation of water, we need to first calculate its volume.
The coliseum is shaped like half a basketball, which means it's a semicircle. The formula for the volume of a semicircle is
V = (2/3) πr3
where V is the volume and r is the compass.
The periphery of the basketball is 9 elevation, so the compass is half of that, or4.5 elevation. We can now substitute this value into the formula
V = (2/3) π(4.5) 3
V = (2/3) π(91.125)
V = 152.25 π boxy elevation
Thus, the coliseum has a volume of roughly 152.25π cubic inches. It is safe to say that the bowl may not be able to hold the 2022 cubic inches of water.
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Answer:
The bowl will hold about 190.76 cubic inches of water, which is not enough water for the tadpole to survive.
Step-by-step explanation:
(The formula we are using is in the photo)
The first step for us to do is to turn the diameter into a radius, to do this we divide the diameter by 2, which will be 4.5 in this case
V≈ (2/3)(3.14)(4.5^3)
V≈ 190.755
Round to nearest tenths place
V≈ 190.76 cubic units of water
This is lower than 200 cubic units of water, so this is not enough to keep the tadpole alive.
(hope this is any help to anyone!!)
Which graph represents a reflection of f(x) =
(9%
across the x-axis?
Answer:
Step-by-step explanation:
its C
David measures a rectangular piece of wood. The length is 8 feet and the width is 2 feet. What is the area, in square feet, of the piece of wood? A = lw
A zip wire runs between two posts, 25m apart. The zip wire is at an angle of 10 degrees to the horizontal. Calculate the length of the zip wire.
∘
to the horizontal. Calculate the length of the zip wire
The length of the zip wire, with a 10-degree angle to the horizontal and a distance of 25 meters between the posts, is approximately 25.35 meters.
To calculate the length of the zip wire, we can use trigonometry. Let's consider the triangle formed by the zip wire, where the horizontal distance between the two posts is 25 meters and the angle between the zip wire and the horizontal is 10 degrees.
Using trigonometric functions, we can determine the length of the zip wire. In this case, we'll use the sine function because we have the opposite side (the vertical distance) and we want to find the hypotenuse (the length of the zip wire).
The formula for sine is:
sin(angle) = opposite / hypotenuse
Rearranging the formula, we have:
hypotenuse = opposite / sin(angle)
In this case, the opposite side is the vertical distance, which is h.
So, the formula becomes:
hypotenuse = h / sin(angle)
To find h, we can use the formula for the length of the zip wire:
h = 25 * tan(angle)
Substituting this into the previous formula, we get:
hypotenuse = (25 * tan(angle)) / sin(angle)
Calculating the value, we have:
hypotenuse = (25 * tan(10°)) / sin(10°)
Using a calculator, we find:
tan(10°) ≈ 0.1763
sin(10°) ≈ 0.1736
Substituting these values, we can calculate the length of the zip wire:
hypotenuse ≈ (25 * 0.1763) / 0.1736 ≈ 25.35 meters
Therefore, the length of the zip wire is approximately 25.35 meters.
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The lines shown below are perpendicular. If the green line has a slope of 2,
what is the slope of the red line?
-10
10
16
A. ¾/1
O A.
B.
O C.
O D. - 3/4
None of the given answer options (-10, 10, 16, ¾/1) correspond to the correct slope of -1/2.
To find the slope of the red line given that it is perpendicular to the green line with a slope of 2, we can use the property that perpendicular lines have slopes that are negative reciprocals of each other.
The slope of the green line is 2. To find the slope of the red line, we take the negative reciprocal of 2. The negative reciprocal is obtained by taking the reciprocal (flipping the fraction) and changing the sign.
Reciprocal of 2: 1/2
Negative reciprocal: -1/2
Therefore, the slope of the red line is -1/2.
However, none of the given answer options (-10, 10, 16, ¾/1) correspond to the correct slope of -1/2.
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What’s the x intercept please
Answer: 12,0
Step-by-step explanation:
I want to bring my grade up so if anyone knows tell me
Answer:
no
Step-by-step explanation:
You will have more time to do it, but no, try extra credit
Sorry mate hope this helps<3
Find the next three numbers in the pattern. Write your answer as decimals 4.1, 4.5, 4.9, 5.3,
Answer:
The pattern is +4
4.1, 4.5, 4.9, 5.3, 5.7, 6.1, 6.5, 6.9
Step-by-step explanation:
You're welcome.
Answer:
Step-by-step explanation:
gap in partten is 4 any doubt
A company that sells paper has a tiered pricing model based on how much paper you buy. If you buy less than 10 reams, they charge you $7 per ream and a shipping cost of $8. If you buy 10 or more reams but less than 20 reams, they charge you $6 per ream and a shipping cost of $16. If you buy 20 or more reams, they charge you $6 per ream and shipping is free.
a. Write a function that models the price in terms of the number of reams bought.
b. What is the domain of the function?
c. What is the range of the function?
d. How much will it cost to buy 25 reams of paper?
f. How much paper can you buy for $60?
The function can be defined as price = 6x
It will cost $150 to buy 25 reams of paper.
How to explain the functionThe domain of the function is all non-negative real numbers, since the number of reams bought cannot be negative.
The range of the function is all non-negative real numbers, since the price cannot be negative.
Fir 25 items, price = 6(25) = $150
It will cost $150 to buy 25 reams of paper.
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if 11^-x=4, what does 11^2x equal
Answer:
1/16
Step-by-step explanation:
If 11^-x=4, then 11^x=1/4.
If 11^x=1/4, then 11^2x=(1/4)^2 which equals 1/16.
A researcher looked at characteristics of elementary school students and,
in particular, observed whether students satisfied any of the following
criteria:
A = The student lived with at least one of their biological parents
B = The student lived with at least one grandparent
C = The student lived with two parents who were legally married
D = The student lived with only one parent
Which of the events above are mutually exclusive? Select all that apply.
1.) A,C
2.) A,D
3.) C,D
4.) B,C
(Side note: I put down options 3&4 but got it wrong, not sure what I’m missing?)
Answer:
1. A, C
2. A, D
Step-by-step explanation:
The mutually exclusive events are one which cannot happen together. The observation is made regarding with which students live. They live with either one of their biological parent or grandparent. The student have the option to live with two legally married couple this is mutually exclusive event. If the student is living with their one biological parent he cannot live with two legally married parents.
can some please help with 11 !!!!
is (-6, -8) a solution to this system of equations y=1/2x-3 y=5/2x+7
Since (-6, -8) is not a solution to both equations in the system, it is not a solution to the system of equations.
What is Equation?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.
Now in the given question ,
We can check if (-6, -8) is a solution to the system of equations by plugging in these values for x and y in each equation and verifying if both equations are true.
For the first equation y = (1/2)x - 3, if we substitute x = -6 and y = -8, we get:
-8 = (1/2)(-6) - 3
-8 = -3 - 3
-8 = -6
This is not true, so (-6, -8) is not a solution to the first equation.
For the second equation y = (5/2)x + 7, if we substitute x = -6 and y = -8, we get:
-8 = (5/2)(-6) + 7
-8 = -15 + 7
-8 = -8
This equation is true, so (-6, -8) is a solution to the second equation.
Since (-6, -8) is not a solution to both equations in the system, it is not a solution to the system of equations.
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3. The customs duty on an imported vehide is 45% of imported price. (a) Calculate the customs duty опа car for which the imported price. is $3000 000. of a mini (6) Calculate the imported price bus if the amount paid induding customs duty TS $1560 000. ES
a) The customs duty on the car would be $1,350,000.
b) The imported price of the bus would be $858,000.
(a) To calculate the customs duty on a car with an imported price of $3,000,000, we can multiply the imported price by the duty rate of 45%:
Customs duty = $3,000,000 * 0.45 = $1,350,000.
(b) To calculate the imported price of a bus if the amount paid, including customs duty, is $1,560,000, we need to determine the portion of the total amount that represents the customs duty. Since the customs duty is 45% of the imported price, we can set up the following equation:
Customs duty = $1,560,000 * 0.45.
Solving for the customs duty:
Customs duty = $702,000.
Now, we can subtract the customs duty from the total amount to find the imported price:
Imported price = $1,560,000 - $702,000 = $858,000.
In summary, the customs duty on a car with an imported price of $3,000,000 would be $1,350,000. On the other hand, if the amount paid for a bus, including customs duty, is $1,560,000, the imported price of the bus would be $858,000.
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The scale drawing car length is 3cm. If the scale is 1cm:4ft, what is the actual car length?
Answer: The actual car length is 12ft.
Step-by-step explanation:
Actual car length = 3cm x 4ft/cm = 12ft
3 6 9 12 15 18 21 24 27 30 is odd or even numbers?
Answer: Half of them are even and half of them are odd.
Step-by-step explanation:
The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.
The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.
Therefore, out of the given numbers, half of them are even and half of them are odd.
________________________________________________________
Type the correct answer in the box. Use numerals instead of words.
Answer:
2 squared - 7 + -4
Step-by-step explanation:
given the function g(x) = -x^2 + 5x + 14 determine the average rate of change of the function over the interval 1 ≤ x ≤ 9
Given:
Given the function is as
\(g\mleft(x\mright)=-x^2+5x+14=y\)Required:
We want to determine the average rate of change of the function over the interval 1 ≤ x ≤ 9
Explanation:
In general the rate of change of given function is
\(\frac{dy}{dx}=-2x+5\)Now at x=1
\(\frac{dy}{dx}=-2+5=3\)and at x=9
\(\frac{dy}{dx}=-18+5=-13\)between x=1 and x=9, dy/dx changes by
\(-13-3=-16\)and distance between x=1 and x=9 is
\(9-1=8\)average rate change is
\(-\frac{16}{8}=-2\)FInal answer:
-2
Consider a triangle...
Answer:
1. Triangle: B = 47.0° , C = 103.05° , c = 2.53 cm
2. Lake: c = 1105.31 ft
Step-by-step explanation:
Law of Sine Formula:\(\frac{sin(A)}{A} = \frac{sin(B)}{B} = \frac{sin(C)}{C}\)
Given: A = 30° , a = 1.3 cm , b = 1.9 cm
\(\frac{sin(30)}{1.3} = \frac{sin(B)}{1.9} = \frac{sin(C)}{C}\)
Solving for sin(B). Cross Multiply.
\(\frac{sin(30)}{1.3} = \frac{sin(B)}{1.9}\\1.3*sin(B)=1.9*sin(30)\\sin(B)=\frac{1.9*sin(30)}{1.3} \\\)
B = sin^-1( \(\frac{1.9*sin(30)}{1.3}\) )
B ≈ 46.9509202
B = 47.0°
Solve for C°
A° + B° + C° = 180°
30° + 46.95° + C° = 180°
C° = 180° - 30° - 46.95°
C° = 103.05°
Solve for sin(C)
\(\frac{sin(30)}{1.3} = \frac{sin(103.05)}{C}\\\)
Cross Multiply
\(C*sin(30)=1.3*sin(103.05)\\C=\frac{1.3*sin(103.05)}{sin(30)}\)
C ≈ 2.532850806
C = 2.53 cm
Law of Cosine Formula: \(c^2=a^2+b^2-2*a*b*cos(C)\)
Given: a = 850 ft , b = 960 ft , C=75°
Solve for c.
\(c^2=a^2+b^2-2*a*b*cos(C)\\c^2=(850ft)^2+(960ft)^2-2*(850ft)*(960ft)*cos(75)\\\\c=\sqrt{(850ft)^2+(960ft)^2-2*(850ft)*(960ft)*cos(75)\\} \\\)
c ≈ 1105.308698
c = 1105.31 ft
In KLM, KM is extended through point M to point N,
(3x +19)°, m/LMN = (7x + 5)°, and
m/KLM = (2x+8)°. What is the value of x?
The value of the variable "x" is 11.
We have a triangle. The vertices of the triangle are K, L, and M. The side KM is extended from point M to point N. The measures of the angles MKL, LMN, and KLM are (3x + 19)°, (7x + 5)°, and (2x + 8)°, respectively. We need to find out the value of the variable "x".
The angles LMK and LMN form a linear pair. It means they are supplementary angles. The sum of the angles is 180°.
∠LMK + ∠LMN = 180°
∠LMK + (7x + 5)° = 180°
∠LMK = 180° - (7x + 5)°
In the triangle KLM, we will use the angle sum property of a triangle. The sum of all the angles in a triangle is equal to 180°.
∠K + ∠L + ∠M = 180°
(3x +19)° + (2x + 8)° + [180° - (7x + 5)°] = 180°
3x +19 + 2x + 8 + 180 - 7x - 5 = 180
-2x + 22 = 0
2x = 22
x = 11
Hence, the value of the variable "x" is 11.
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5(1 + x) = 5x+5 someone who can help me with this
Out of 200 students in a senior class, 32 seniors are in the band and 64 seniors are in the band or on the honor roll. What is the probability that a randomly selected senior is both in the band and on the honor roll? Express your answer a fraction in simplest form.
The Probability that a randomly selected senior is both in the band and on the honor roll is 8/25.
To find the probability that a randomly selected senior is both in the band and on the honor roll, we need to divide the number of seniors who are in both categories by the total number of seniors.
Given:
Total number of seniors = 200
Number of seniors in the band = 32
Number of seniors in the band or on the honor roll = 64
Let's calculate the probability using these values:
Probability = Number of seniors in both categories / Total number of seniors
Probability = 64 / 200
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 8:
Probability = (64 ÷ 8) / (200 ÷ 8)
Probability = 8 / 25
Therefore, the probability that a randomly selected senior is both in the band and on the honor roll is 8/25.
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Please help with this math question. Thank you
Answer: 1) 22cm
Step-by-step explanation:
Refer to the attachment below, the length of the rectangle is separated into three parts.
First Part = 7cm
Second Part = 4 + 2 = 6cm
Third Part = 5 + 4 = 9 cm
7 + 6 + 9 = 22
Hope this helps!! :)
Please let me know if you have any questions