9514 1404 393
Answer:
multiply the radius by √1.2 ≈ 1.0954
Step-by-step explanation:
Let the original depth and radius be represented by 30 and r. Let the modified depth and radius be represented by 25 and r'. Assuming the pond is uniform depth, the formula for the volume of a cylinder applies. The volume of a cylinder is given by ...
V = πr²h
In this application, we want the original and modified volumes to be the same.
πr²(30) = π(r')²(25)
(r')² = r²(30/25) = r²(6/5)
r' = r√(6/5)
The radius can be multiplied by √1.2 to maintain the original volume of the pond.
The area of a rectangle is represented by 12n2 - 19n - 21. If the width is 3n - 7, which expression represents the perimeter?
A. 7n - 4
B. 7n+4
C. 14n -8
D. 14n +8
Answer:
C 14n - 8
Step-by-step explanation:
rectangle area = length×width = 12n²-19n-21
width = 3n-7
what do we need to multiply with width to get the full area expression ?
think : what do we need to multiply with 3n to get 12n² (4n)?
and what to multiply with -7 to get -21 (3)?
=> length = 4n+3
perimeter is 2×length + 2×width
p = 2(3n-7) + 2(4n+3) = 6n-14+8n+6 = 14n-8
There’s 2 arcade areas and 1 swimming pool. What is the arcade area to swimming pool ratio?.
Answer:
Yeah, the person above me is right. It's 2:1
Step-by-step explanation:
There are 2 arcade areas and 1 swimming pool. the arcade area to swimming pool ratio is 2: 1.
What is the ratio of two quantities?Suppose that we've got two quantities with measurements as 'a' and 'b'
Then, their ratio(ratio of a to b) a:b
or
[tex]\dfrac{a}{b}[/tex]
Remember that the ratio should always be taken of quantities with same unit of measurement.
Also the ratio is a unitless(no units) quantity.
There are 2 arcade areas and 1 swimming pool.
The arcade area to swimming pool ratio is 2: 1.
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THE graph of f(x), shown below has the same shape as the graph of G(x)=3x^2, but it is shifted down 1 unit, what is the equation
Answer:
[tex]3x^2-1[/tex]
Step-by-step explanation:
A spring with a 10-kg mass and a damping constant 15 can be held stretched 1 meters beyond its natural length by a force of 2 newtons. Suppose the spring is stretched 2 meters beyond its natural length and then released with zero velocity. In the notation of the text, what is the value c^2 - 4mk? _________ m^2 kg^2/sec^2.
Find the position of the mass, in meters, after t seconds. Your answer should be a function of the variable t of the form c_1 e^alpha t + c_2 e^beta t where alpha = (the larger of the two) beta = (the smaller of the two) c_1 = _______c_2 =______.
Answer:7.5=−k(2.5)−7.52.5=kma=−7.5x2.5my′′+9y′+−3y=0,y(0)=2.5,y(5)=0−9±81+4(m)(3)−−−−−−−−−−−√2m−92m±81+12m−−−−−−−−√2my=Ae−(9/2)xcos(81+12m−−−−−−−−√2mx)+Be−(9/2)xsin(81+12m−−−−−−−−√2mx)2.5=A+B⋅00=(2.5)e−45/2cos(81+12m−−−−−−−−√52m)+Be−45/2sin(81+12m−−−−−−−−√52m)
Step-by-step explanation:
PLS PLS ANSWER SOMEONE
Answer:
the answer i think it is 5
im not 100% sure on what the question is, but i hope this helps
Step-by-step explanation:
what's the GCF for the pair of numbers. 27, 45
i only need the answer
Answer:
9 is the answer
Step-by-step explanation:
Every week a company provides fruit for its office employees. They can choose from among five kinds of fruit. What is the probability distribution for the 30 pieces of fruit, in the order listed? Fruit Apples Bananas Lemons Oranges Pears 6 9 2 8 5 Number of pleces Probability O A. 1, 1 3 1 4 1 5 10 15 15 6 ОВ. 1 I 4 2 5 10 3° 15' 15 c. bot , 1 OD. 1 1 1 4 2 • 15. 5. 15 15
Answer:
A? maybe i dont know dont quote me on that
Step-by-step explanation:
The Probability distribution is
Apples =1/5
Bananas = 3/10
Lemons = 1/15
Oranges = 4/15
Pears = 1/6
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
Total Fruits = 30
Now, the probability distribution for the 30 pieces of fruit is
Apples = 6/30
= 1/5
Bananas = 9/30
= 3/10
Lemons = 2/30
= 1/15
Oranges = 8/30
= 4/15
Pears = 5/30
= 1/6
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What is the volume of a gift box in the shape of a rectangular prism that is 3.5 inches high, 7 inches long, and 6 inches wide
Answer:
147 cubic inches
Step-by-step explanation:
volume of the prism is length x breadth x height
3.5 x 7 x 6=147
The table below shows the probability distribution of student ages in a high school with 1500 students. What is the expected value for the age of a randomly chosen student? Age 13 14 15 16 17 18 Probability 0.01 0.27 0.30 0.25 0.16 0.01 O A. 15.38 B. 15.31 о O C. 15.50 O D. 15.35 SUBMIT
Answer:
15.31
Step-by-step explanation:
The expected value, E(X) is given by :
E(X) = Σx*p(x)
From the table above :
E(X) = (13 * 0.01) + (14 * 0.27) + (15 * 0.30) + (16 * 0.25) + (17 * 0.16) + (18 * 0.01)
E(X) = 15.31
Find the measure of c in the figure below using the side lengths given
Answer:
Step-by-step explanation:
take angle C as reference angle
using tan rule
tan C=oppposite/adjacent
tan C=6/12
tan C=0.5
C=[tex]tan^{-1}[/tex]0.5
C=26.6 degree
Help PLSSS!!!!! I will give brainlyest!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: 17 1/2 or decimal form = 17.5
Step-by-step explanation: Hope this helped!
Answer:
17.5 Statues im pretty sure.
Step-by-step explanation:
7/8 divided by 1/20
how to calculate the circumference of a circle whose radius is 12cm
Answer:
75.4cm
Step-by-step explanation:
To calculate the circumference, you need the radius of the circle:
Multiply the radius by 2 to get the diameter.
Multiply the result by π, or 3.14 for an estimation.
That's it; you found the circumference of the circle.
Answer:
C ≈ 75.4 cm
Step-by-step explanation:
[tex]2\pi r[/tex]
2 × 3.14 × 12
C ≈ 75.4 cm
Which is the graph of f(x) = square root 4x
The graph of f(x) = sqrt( 4x) looks like this. So choose the one that looks like the image attached.
Using the proper terminology, how would you explain and visually demonstrate that this is not always the case.
Answer:
you drew to much on it
Step-by-step explanation:
A point with a positive x-coordinate and a negative y-coordinate will lie in which quadrant?
A. Quadrant I
B. Quadrant II
C. Quadrant III
D. Quadrant IV
Find the perimeter of the figure below, in feet.
8.eft
6.6 ft
16.6A
6.6 ft
6.6 ft
eft
2 ft
6.6 ft
6.6 ft
12.4ft
12.4ft
8.2 ft
Answer:
not entirely sure but my answer is 87.6ft.
for the perimeter of the shape.
Step-by-step explanation:
I cut out the extra square-ish pieces of the sides and found
that both are 17.2 for their perimeter. so 17.2×2= 34.4
then I found the perimeter of the sides of the rectangular shape and the sides were both 18.4ft. so 2(18.4+8.2)= 53.2.
so 53.2+34.4 = 87.6ft.
Suppose f(x) = – 22 – 4x + 2 and g(x) =
42? +52 +5.
(f +9)(2) =
Answer:
[tex](f + g)(2) = 21[/tex]
Step-by-step explanation:
[tex]f(x) = -x^2 - 4x +2[/tex]
[tex]g(x) = 4x^2 + 5x + 5[/tex]
Required
[tex](f + g)(2)[/tex]
This is calculated as:
[tex](f + g)(2) = f(2) + g(2)[/tex]
Where:
[tex]f(2) = -2^2 - 4*2 +2 = -10[/tex]
[tex]g(2) = 4*2^2 + 5*2 + 5 = 31[/tex]
So:
[tex](f + g)(2) = f(2) + g(2)[/tex]
[tex](f + g)(2) = -10 + 31[/tex]
[tex](f + g)(2) = 21[/tex]
A paint machine dispenses dye into paint cans to create different shades of paint. The amount of dye dispensed into a can is known to have a normal distribution with a mean of 6 milliliters (ml) and a standard deviation of 0.4 ml. Find the dye amount that represents the 90th percentile (i.e. 90%) of the distribution.
a. 4.464 ml.
b. 4.836 ml.
c. 4.936 ml.
d. 4.964 ml.
e. 5.536 ml.
Answer:
The 90th percentile of the distribution is 6.512 ml.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 6 milliliters (ml) and a standard deviation of 0.4 ml.
This means that [tex]\mu = 6, \sigma = 0.4[/tex]
Find the dye amount that represents the 90th percentile (i.e. 90%) of the distribution.
This is X when Z has a p-value of 0.9, so X when Z = 1.28. Then
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.28 = \frac{X - 6}{0.4}[/tex]
[tex]X - 6 = 1.28*0.4[/tex]
[tex]X = 6.512[/tex]
The 90th percentile of the distribution is 6.512 ml.
A medical equipment industry manufactures x-ray machines. The unit cost C( the cost in dollars to make each x -ray machine) depends on the number of machines made. If x machines are made, then the unit cost is given by the function C(x)=0.2x^2-100x+31,146.what is the minimum unit cost.
Answer:
18,646
Step-by-step explanation:
>you can graph the equation on a calculator and see that the minimum is at the point (250, 18646) , so the minimum unit cost is 18,646
>you can use the first derivative to find the minimum
c'(x) = (0.2x²-100x+31,146)' = .4x -100
.4x-100= 0 , so x= 250
c(x=250) = 0.2(250)² -100*250 +31,146 =18,646
The segment joining the two legs of a trapezoid is called
Select one:
a. an altitude
O b. a median
O c. a base
Answer:
Base
Step-by-step explanation:
The segment joining the two legs of a trapezoid is called base
king monatla surprised his wife on birthday by buying her 55 inch television set.the repayment period is 36 months and the monthly installment is R570,00
write down the item number of the television
Answer:
The final price of the television set is $ 20,520.
Step-by-step explanation:
Given that King Monatla surprised his wife on birthday by buying her a 55 inch television set, and the repayment period is 36 months and the monthly installment is $ 570.00, to determine the final price of the television set the following calculation must be performed:
570 x 36 = X
20.520 = X
Therefore, the final price of the television set is $ 20,520.
Determine the equation for a line that passes through the point M(-7, 3) and
perpendicular to 7x − 2y + 3 = 0. Show your complete work.
Answer:
y = 2x/7 + 5
Step-by-step explanation:
the first line is defined by
7x - 2y + 3 = 0
in the most common way to write this we need an equation like y = ...
so, we isolate the y-expression in the equation :
2y = 7x + 3
y = (7x + 3) / 2 = 7x/2 + 3/2
the factor of x is the slope of the line, which is expressed by the y/x ratio indicating how many units y will change, when x changes e.g. 1 unit.
7/2 means that y will change by 7 units for every change in x by 2 units.
the slope of a perpendicular line is inverse to the slope of the original line, which means x and y are simply trading places (original x / original y).
so, the perpendicular slope of 7/2 is 2/7 (when x changes by 7 units, then y changes by 2 units).
that means the equation for the perpendicular line is something like
y = 2x/7 + c
the c we determine by using the coordinates of the given point (x and y values).
3 = 2×(-7)/7 + c = 2×(-1) + c = -2 + c
c = 5
so, the complete equation of the perpendicular line is
y = 2x/7 + 5
ECONOMICS PLS HELP !!!!!!!!!!!!!!!!!!!!! 100 POINTS
Which factors of production had to be utilized to bring you an online education?
it is a verbal question from my teacher I have to tell her the answer tomorrow and I don't know what to tell her lol
Rachel is solving the system of equations below by using the elimination method. Which of the following steps could she use? 7x-21y=14. 2x+3y=11
Answer:
[tex]7x - 21y = 14 - - - (a) \\ 2x + 3y = 11 - - - (b) \\ (a) + 7 \times (b) : \\ 21x + 0y = 91 \\ x = 4.33 \\ (2 \times 4.33) + 3y = 11 \\ 3y = 2.34 \\ y = 0.78 \\ { \boxed{x = 4.33}} \\ { \boxed{y = 0.78}}[/tex]
Factor.
x*2+11x+28
please give me the answer
Answer:
(x+4)(x+11)
Step-by-step explanation:
x^2+11x+28
What two numbers multiply to 28 and add to 11
4*7 =28
4+11
(x+4)(x+11)
Answer:
(x + 4)(x + 11)
I agree with wegner
bye
What substitution should be used to rewrite x ^ 8 - 3x ^ 4 + 2 = 0 as a quadratic equation?
Answer:
Let m= x^4
m^2 -3m +2 = 0
Step-by-step explanation:
x ^ 8 - 3x ^ 4 + 2 = 0
Let m= x^4
m^2 -3m +2 = 0
I WILL GIVE BRAINLIEST TO THE BEST AND CORRECT ANSWER
Choose all the statements that are true.
1. 15 pt<2 gal
2. 1 gal<5 qt
3. 12 fl oz> 2 c
4. 2 qt 1 c>10 c
5. 20 pt = 10 qt
Answer:
the answer should be 3 and 5 :)
Step-by-step explanation:
the answer speaks for itself
A pendulum on a grandfather clock swings side to side once every second. If the length of the pendulum is 8ft and the angle is 20 degrees, how far does it travel in 1 second?
Step-by-step explanation:
Yo all ✌️✌️
Jóin me
g-meet
besmfyotjp
Answer:
73.66 miles per hour
or if 40 degree whole swing of pendulum then ;
147.33 miles per hour.
Divide by 3600 for p/second
Step-by-step explanation:
sin x = opp /hyp = 8 x sin (20) = 1.113384808 = 1.11ft
1.1ft p/s
5290 feet in every mile
5290/1.113384808 = 4751.27733 feet
3500 seconds in an hour
3500/4751.27733 x 100 = 73.6644013 m/ph
Scenario 2
or 2.2 feet per second depending on whether the angle from central each side is 20 degrees = 1.1 x 2 = 2.2 feet.
5290/2.22676962 =2375.63866
3500 seconds in an hour
3500/2375.63866 x 100 = 147.328803 m/ph
15 POINTS (08.01) The graph shows two lines, A and B.
How many solutions are there for the pair of equations for lines A and B? Explain your answer.
PLEASE HELP I WILL GIVE BRAINLIEST AND 50 POINTS!!!
The following function represents the value of a truck, in dollars, after x years:
f(x) = 29,000(0.88)x
What does 0.88 represent?
The decrease in the value of the truck, which is 12%
The present value of the truck
The value of the truck after x years
The decrease in the value of the truck, which is 88%
Answer:
The decrease in the value of the truck, which is 12%
Step-by-step explanation:
f(x) = 29,000(0.88)^x
This is an exponential function of the form
y = ab^x
a is the initial value
b is the growth(decay) rate
x is the time
Since b is less than 1, we know it is decay
To find the rate
1-b = rate
1-.88 = .12
The decay rate is .12*100% = 12 %
Answer:
its A:The decrease in the value of the truck, which is 12%
Step-by-step explanation:
i got this correct