Answer:
7/16π
Step-by-step explanation:
The surface area of the snow ball = 4πr^2
Let the surface area= y
Then y= 4πr^2
The derivative can be taken with respect to time as
dy/dt= (8πr)dr/dt...........eqn(1)
We were told that its surface area decreases at a rate of 7 cm2/min.
Then dy/dt=-7
diameter = 8 cm. cm/min, the radius r= 4cm/min
r= 4
Substitute the values of r into eqn(1)
dy/dt=(8π×4)dr/dt
-7=(32π) dr/dr
dr/dt= -7/32π................eqn(**)
But we know that diameter d= 2× radius
d=2r............eqn(*)
We can find the derivatives with respect to t as
dd/dt=2dr/dt
Then substitute en(**) we have
dd/dt=2(7/32π)
dd/dt= -14/32π
Divide both numerator and denominator by 2
dd/dt= -7/16π
Hence, the diameter decreases by the rate of 7/16π
A man needed to sell a car. He priced it at $3,500 the first day. The second day he reduced the price by 15%. What was the price of the car after this reduction?
Answer:
$2,975.00
Step-by-step explanation:
15% off of $3,500 is $2.975
I will give brainiest to whoever answers correctly !!
Please do not steal my points I'm tired of it put a legit answer or leave!! I will give brainiest to whoever answers correctly!!
Answer:
1,897.19
Step-by-step explanation:
Answer: $ 1959.66
A = Accumulated Amount
P = Principle / first contribution ($10)
PMT = Regular contributions / additional money added to investment) ($10)
r = Interest rate (9% / 0.09)
n = compounding frequency per year (12 = monthly, 4 = quarterly, 2 = semi-annually, 1 = annually ) (12)
t = number of years (10)
Plug the numbers into this formula and your calculator should get 1959.66
Formula: A = P (1 + r/n) + PMT (1+r/n) to the power of nt -1
(r/n)
The middle school ski club plans ski trips and participants in ski competitions. If 25% of the students participate in ski competition, what fraction of the students participate in the competition.
Answer:
7/9
Step-by-step explanation:
which height is higher -83 feet or the opposite of -88 feet
Answer:
Opposite of -88 feet
Step-by-step explanation:
the opposite of -88 is positive 88, which means its coming off of the ground. negative would go into the ground.
Angle AOE has what measurement according to the protractor?
Answer:
140
Step-by-step explanation:
PENN
Hence angle AOE has a measure of 120 Degrees.
What is an Angle?An angle is a combination of two rays (half-lines) with a common endpoint.
How To Solve:When an angle is formed or drawn or opened clockwise , then we measure it using the upper scale of the protractor , and if the angle or its arc goes anticlockwise , we measure it using the bottom scale of the protractor.
According to the figure , the angle has been opened anticlockwise.
(Observe carefully , AOB , then AOC , AOD and so on. Suppose that O is the center of a clock and OA is the needle which is moving anticlockwise from position OA, OB, OC and so on).
So we will use the bottom or lower scale of the protractor. Line Segment OE of angle AOE is bisecting the Lower scale of the protractor at 120 degrees.
Hence angle AOE has a measure of 120 Degrees.
Learn more about angles at:
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SIMPLIFY IT PHOTO IS UP I WILL MARK IT BRAINLIEST
Step-by-step explanation:
Notice that
9y² - 4xy + 4x²/9 = (3y - 2x/3)².
Therefore (9y² - 4xy + 4x²/9) / (3y - 2x/3)
= (3y - 2x/3).
Answer:
(9y²-4xy+4x²/9)/(3y-2x/3)
={(3y)²-2(3y)(2x/3)+(2x/3)²}/(3y-2x/3)
=(3y-2x/3)²/(3y-2x/3)
=(3y-2x/3)
(3y-2x/3) is the right answer.Find the least common denominator (LCD) of 7/2 and 1/3.
Answer:
6
Step-by-step explanation:
how to i find the lowest terms of a ratio 12 minutes to 3 hrs ?
Answer:75 minutes. Pls brainless..
Step-by-step explanation:
In order to express a ratio in the simplest form, we find the HCF of the terms ... 60/48 (divide both the numerator and denominator by 12 since, the h.c.f. of 60 ... (vi) 3 hours to 75 minutes.
What does 5*9+1;12 =
Answer: if im reading this correctly: 45.0833333333333333333333333
Step-by-step explanation:
Answer:
The answer would be 541/12 but for the simplified answer it would be 45 1/2 hope this helps!
Kendall ran 3 ¼ of a mile on Saturday. She ran five times as much on Sunday. How much did Kendall run on over the weekend?
Answer:
19 1/2 miles
Step-by-step explanation:
to advertise o radio,the radio station charges 32naira for the first 10 words and 2naira per word for every additional word.how much will it cost to place an advertisement of 68 words on radio?
Answer:
Cost for 68 words = 148 naira
Step-by-step explanation:
Given that:
Cost of first ten words = 32 naira
Cost of additional words = 2 naira per word
Let,
x be the number of additional words.
y be the total cost
y = 2x + 32
We have to find the cost for 68 words.
The cost of first 10 words will be 32 naira.
Additional words = 68 - 10 = 58 words
Putting x = 58 in the equation
y = 2(58) + 32
y = 116 + 32
y = 148
Hence,
Cost for 68 words = 148 naira
Please help!! 10 points for it
Answer:
132+54+90=276
360-276= 84
Step-by-step explanation:
a circle has 360° so subtract all the given angles to find the missing one. yu can subtract each one by one or add all the given angles and subtract which I did
Answer:
x = 84
Step-by-step explanation:
a full circle is 360 and that small square means a right angle and right angles are always 90 degrees so 360-90-132-54=84
What is the y-intercept of the graph of 12x-4y=24
Answer:
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sa l splpdsl
Step-by-step explanation:
sd ,.mdnaklkMOSDIA IJDOISJM
the difference between seven times a number and one more than five times the number and one more than twenty seven
what do you think the motion is?
what are the examples that you know about?
Answer:
I think its just like speed or feelings for me
What is the parallel slope of m= -2
Game cards go for $3 for 10 cards. If Angelina spent $18 on cards, how many cards does she have
in total?
Answer:
She has 60 Cards
Step-by-step explanation:
3=10
3 times 6= 10 times 60
60 cars
Answer:
60 cards
Step-by-step explanation:
Because 3 divided by 10 is .3 and .3 divided by 18 is 60
diego boils 10 cups of water. how many cups of oats should he add into the water
Answer:
the answer is 5 cups. Hope this helps
Answer:
4 cups of oats.
Step-by-step explanation:
That’s 0.4 cups of oats per cup of water. The ratio of the cups of water to the cups of oats is . That’s 2.5 cups of water per cup of oats.
Write an equation that represents the remaining number of meals y, after x number of hours. (❍ᴥ❍ʋ)help please
Answer:
y=600-55x
Step-by-step explanation:
Since there is a total of 600, and there is 55 being taken away every hour, there needs to be the x next to the 55, and then that will get you the amount of meals remaining, which is y.
(hope this helps!)
What are the domain and range of the function ?
heeeeeeeeeeeeeeeeeeeelllllppp
Answer:
120 degrees.
Step-by-step explanation:
All the angles in a triangle add up to 180. You have two of the angles given:
50 degrees and 70 degrees
To find the third angle of the triangle (BAC), use the expression:
180 - (50 + 70)
180 - 120
60
So, the third angle in the triangle is 60 degrees. Looking at angle DAB, you can see that it forms a straight line with angle BAC. A straight line is 180 degrees. Since we know BAC is 60, and BAC + DAB = 180, by doing 180 - 60, you can see that angle DAB is 120 degrees.
the equation 4(x+9)=76 models this situation which choice shows the sequence of operations neede to slove this problem using both arithmetic and algebra
Answer:
Step-by-step explanation:
Here you go mate
Use PEMDAS
Parenthesis,Exponent,Multiplication,Division,Addition,Subtraction
Step 1
4(x+9)=76 Equation/Question
Step 2
4(x+9)=76 Remove parenthesis by multiplying 4
4x+36=76
Step 3
4x+36=76 Subtract 36 from sides
4x=40
Step 4
4x=40 Divide sides by 4
answer
x=10
Hope this helps
Consider the line through (-1, -4) and (1, 2)What is the y-intercept (b) of the line?
Answer:
y=3x-1
y-inter(0,-1)
Step-by-step explanation:
Answer:
y=3x-1
Step-by-step explanation:
N= 17 and P=0.8 is it suitable to use a normal distribution
Answer:
Since n(1-p) < 10, it is not suitable to use a normal distribution.
Step-by-step explanation:
Suitability of the normal distribution:
In a binomial distribution with parameters n and p, the normal approximation is suitable is:
np >= 10
n(1-p) >= 10
In this question, we have that:
n = 17, p = 0.8. So
np = 17*0.8 = 13.6 -> Ok
n(1-p) = 17*0.2 = 3.4 -> No
So, since n(1-p) < 10, it is not suitable to use a normal distribution.
Jen fills her has tank up with 12 gallons of gas for $30.60. How much will it cost to fill up a 17-gallon tank?
Answer:
$43.35 (I believe)
Step-by-step explanation:
I tried to find the price to fill up 1 gallon by dividing the $30.60 by 12. 30.6/12 = 2.55 and then I multiplied $2.55 by 17 and got $43.35
Triangle PQR is similar to triangle XYZ
Select all angles that have a cosine of 9/15
Answer:
Step-by-step explanation:
All the angles that have a cosine of 9/15 are,
⇒ ∠P and ∠X
What is mean by Angle?An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
Given that;
Triangle PQR is similar to triangle XYZ.
Hence, We get;
In triangle PQR,
cos P = 9/15
And, In triangle XYZ,
cos X = XZ / ZY
cos X = 9 / 15
Thus, All the angles that have a cosine of 9/15 are,
⇒ ∠P and ∠X
Learn more about the angle visit;
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if Mr. Parsons bought 346 apples to make pies for his shop. Seven apples are needed for each pie.
If Mr. Parsons makes the most apples pies possible, how many apples will be left?
Answer:
14 apples will be left
Step-by-step explanation:
there
Answer:
125
Step-by-step explanation:
5. Let f be a continuous and differentiable function for all real numbers. The only critical points for f are located
at x = -3 and x = 5. If F"(x) = 2x - 2, which of the following must be true?
I. f has a relative maximum at x = -3.
II. f has a relative maximum at x = 5.
III. f has a point of inflection at x = 1.
(A) I only
(B) II only
(C) III only
(D) I and III only
(E) II and III only
Pls help I need a good grade on this
Answer:
t = - 37.4
Step-by-step explanation:
Given
4.4 = - [tex]\frac{t}{8.5}[/tex] ( attach the negative to 8.5 and multiply both sides by - 8.5 )
- 37.4 = t
Answer:
-37.4
Step-by-step explanation:
4.4 x -8.5 = -37.4
Hope this helps!
A student was studying the relationship between how much money students spend on food and on entertainment per week. Based on a sample size of 270, he calculated a correlation coefficient (r) of .013 for these two variables. Which of the following is an appropriate interpretation?
A.This low correlation of .013 indicates there is no relationship.
B. There is no linear relationship but there may be a nonlinear relationship.
C. This correlation indicates there is some type of linear relationship.
Answer:
a
Step-by-step explanation:
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