Answer:
The new height of the water will:
[tex]H_{new}=22.89 cm[/tex]
Step-by-step explanation:
The submerged volume due to an object in a liquid, water in our case, is equal to the displaced volume of the water, it is the Archimedes principle.
The volume of a golf ball (sphere) will be
[tex]V_{ball}=\frac{4}{3}\pi r^{3}=\frac{4}{3}\pi 2.2^{3}[/tex]
[tex]V_{ball}=44.6 cm^{3}[/tex]
We have 5 golf balls, so the total volume will be:
[tex]V_{5-ball}=5*44.6 cm^{3}=223\: cm^{3}[/tex]
Using Archimedes' principle the extra volume of water will be 223 cm³
Now, we know that the cylinder has a radius of 3 cm, then the height related to 223 cm³ will be:
[tex]223=\pi r^{2}h[/tex]
[tex]223=\pi 3^{2}h[/tex]
[tex]h=7.89\: cm[/tex]
Therefore, the new height of the water will:
[tex]H_{new}=15+7.89=22.89 cm[/tex]
I hope it helps you!
True or false:a. If the proportion of defectives in the sample is less than 12%, it is reasonable to conclude that the new process is better.b. If the proportion of defectives in the sample is only slightly less than 12%, the difference could well be due entirely to sampling variation, and it is not reasonable to conclude that the new process is better.c. If the proportion of defectives in the sample is a lot less than 12%, it is very unlikely that the difference is due entirely to sampling variation, so it is reasonable to conclude that the new process is better.
Answer:
false
Step-by-step explanation:
In a population, the percentage or fraction which is not conforming to (defeating) is defined as a ratio of the population's figures of non-conforming goods to the sum of goods in the inhabitants, and the further discussion can be defined as follows:
In option A, it is wrong because the proportion of both the sample is simply an approximation. The real percentage could be more than 12%. Furthermore, the conclusion also that the new procedure is better cannot be reasonably concluded.In options (b and c) both are correct because it is based on the explanation of whether, if the fraction of defective differences is bigger, we can only determine that its new procedure is better or not as a minor difference may occur from the variance of samples.Learn more:
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Solve the following system by elimination. Show work and explain each step.
3x + 2y=16
2x +5y=21
The value of x and y using the elimination approach on the equations will be 3.45 and 2.81 respectively.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
In another word, the equation must be constrained with some constraints.
Given the set of equations,
3x + 2y=16
2x +5y=21
Multiply by 2 to the first equation and by 3 to the second equation.
Fist becomes ⇒
6x + 4y = 32
Second become ⇒
6x + 15y = 63
By subtracting second - first
11y = 31
y = 2.818181...
By substitution,
6x + 4(2.81) = 32
x = 3.454545..
Hence "The value of x and y using the elimination approach on the equations will be 3.45 and 2.81 respectively".
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To find the total after an i tease or 5% , you could multiply the original amount by 105%.
A. True
B. False
Switch row 2 and row 3:
4−1−4
8−46
−231
−7
30
−2
4−1−4
−7
Answer:
-2 3 1 -2
8 -4 6 30
Step-by-step explanation:
the second part is
-4 6 2 -4
Pls help me grades close today I will brainlest
HELP ASAP
Solve the system of equations
X + 3y = -20 and -4x - 4y=0 by combining the equations
Answer:
x=10 and y=-10
Step-by-step explanation:
first pick for what you want to solve for first, in this case I picked y
so I put them for subtraction and i hade to multiply the first equation by 4 so I could cancel my X's and I just solved for y
then I plugged in my answer to the first equation, you can pick any of the 2 equations, and I solved for x
I WILL GIVE BRAINLIEST Which of the following tables of x– and y–values represents a function? Select all that apply.
Answer:
A and C
Step-by-step explanation:
For a table of x and y variables to be a function, each x-value must not have two different y-values assigned or related to it. However, different x-values can have the same y-value.
Therefore, the table in option A and option C are functions because every of their x-value has exactly one y-value that corresponds it.
Convert the
following 35 minutes to seconds
Answer:
2,100 sec
Step-by-step explanation:
Answer:
2100seconds
Step-by-step explanation:
♪＼(*＾▽＾*)／＼(*＾▽＾*)／
Triangle ABC has side length of 14, 8 and 10.4 what are the possible side lengths of a triangle DEF if ABC is similar to DEF
Answer:
DEF can have possible side lengths of 28, 16, 20.8
Step-by-step explanation:
Triangle Similarity
If the three sides of two triangles have the same proportion, the triangles are similar (SSS theorem).
Triangle ABC has side lengths of 14, 8, and 10.4.
Any other triangle whose side lengths are the same lengths of ABC multiplied by a constant scale factor is similar to ABC.
For example, select scale factor 2. Thus, the triangle of side lengths 2*14=28, 2*8=16, and 2*10.4=20.8 is similar:
DEF can have possible side lengths of 28, 16, 20.8
Any other scale factor will do.
With distances in feet, use the see saw principle to find the number of feet represented by N in the balanced seesaw shown.
Answer:
The answer is 4
Step-by-step explanation:
Im sorry if im wrong im not that good at math
Write the quadratic function in standard form
Answer:
B. f(x) = x² + 10x + 17
Step-by-step explanation:
Given:
f(x) = (x + 5)² - 8
Required:
Write in standard form
SOLUTION:
f(x) = (x + 5)² - 8
Expand (x + 5)²
f(x) = (x + 5)(x + 5) - 8
f(x) = x(x + 5) +5(x + 5) - 8
f(x) = x² + 5x + 5x + 25 - 8
Add like terms
f(x) = x² + 10x + 17
Which graph represents the function ƒ(x) = 3|x – 1|?
Answer choices are on the pictures above
Answer:
C
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
I need help on this ASAP.
The heights in inches, of some small trees for sale at a garden store are 62, 62, 59, 61, 59, 70, 59, and 62. What is the median height? What is the mode? What is the mean height?
Answer:
Step-by-step explanation:
the mean height, remember is the average
62+62+59+61+59+70+59+62=494/8=61.75
median is the middle value, so we will write the numbers in order
59,59,59,61,62,62,62,70
we have an even number so we add the middle numbers and divide by 2,
the median=61+62=123/2=61.50
mode is the number that occurs most often : 62 and 59
what is 1 over 2 x 6 what is 1 over 2 x 7 and what is 3 over 4 x 12 and what is 2 over 5 x 30
exampel of 1 over 2
1/2
any genius student ????
can anyone teach me about how to do graph of linear inequalities ....??
please give me the proper answer ;( !!!!!
Step-by-step explanation:
To graph a linear inequality in two variables (say, x and y ), first get y alone on one side. Then consider the related equation obtained by changing the inequality sign to an equality sign. The graph of this equation is a line. If the inequality is strict ( < or > ), graph a dashed line.
What is the greatest common factor of 24, 18, and 36?
Answer:
most likely 6
Step-by-step explanation:
because factors of 36 is 4,2,6 etc factors of 18 is 6 and 24 and it the gcf
Answer:
The greatest common factor is 6
Step-by-step explanation:
The factors of 18 are: 1, 2, 3, 6, 9, 18
The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24
The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36
Brianna buys a $3200 refrigerator using an installment plan that requires 20% down
and a 4.1% interest rate. How much is her down payment?
Answer:
the down payment is 22.0 percent
Step-by-step explanation:
Answer:
Step-by-step explanation:
3260
Write the equation of the line that passes through (9,3) and (7,3)
Answer:
y=3
Step-by-step explanation:
First, let's find the slope (m) of the line, which we do with the equation (y2-y1)/(x2-x1)
the given points are (9,3) and (7,3)
we can label the points:
x1=9
y1=3
x2=7
y2=3
now substitute into the equation
m=(3-3)/(7-9)
m=0/-2
m=0
the slope is 0.
Now, use slope-point form, which is y-y1=m(x-x1)
substitute using the given numbers
y-3=0(x-9)
multiply
y-3=0
add 3 to both sides
y=3
the equation is y=3
hope this helps :)
The hypotenuse of a right triangle measures 19 meters. One leg measures 15 meters. To the nearest tenth of a meter, what is the length of the other leg?
Answer:
11.7
Step-by-step explanation:
A^2+b^2=c^2
x^2+15^2=19^2
how much work is done when a girl pushes a lunch cart 15m across the cafeteria with a force of 3N
Answer:
45 J
Step-by-step explanation:
Just plugged into the work force formula got 45 jules
Help ASAP !!!
If Leah drove 1,200 miles and used 60 gallons of gas , her average miles per gallon is how much?
Answer:
20
Step-by-step explanation:
We will start by writing the following ratio
miles:gas
1200:60
This means that we have
x:1
divide 1200 by 60 to get x
I get
x=20
Answer:
20 miles per gallon.
Step-by-step explanation:
You have to divide 1,200 by 60. Then you will be left with 20 miles/gallon
#3 i don’t even understand what the question is asking for
Un comerciante dispone de USD 300 y necesita comprar cierta cantidad de papas y arroz. El quintal de papas cuesta USD 15 y el de arroz, USD 40. Si debe llevar 5 quintales de arroz y la capacidad máxima de su camioneta es de 20 quintales, ¿Cuántos quintales de papas puede llevar como máximo? Escribe tu respuesta como un número entero.
Answer:
23
Step-by-step explanation:
Idek i lied
What is 1/3 divided by 2 in fraction form
Answer:
1/6
Step-by-step
When 1/3 divided by 2 gives 1/6.
What is fraction?fraction, In arithmetic, a number expressed as a quotient, in which a numerator is divided by a denominator.
In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.
If we divide 1/3 by 2, which is not possible
Fraction also multiplication only.
To make the division into multiplication we have to reciprocal the number on the right side of the division
So,
1/3÷2
=1/3*1/2
= 1/6
Hence, 1/3 divided by 2 in fraction form gives 1/6.
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A local water storage facility is currently empty. The city
water workers begin filling it at a rate
of 500 gallons per minute. It immediately begins
sending some of its water into the city's water
pipes at a rate of 150 gallons per minute.
a) How much-water will be in the water storage facility
in 25 minutes?
B.) write an equation to find the number of gallons,y,in the storage facility after x minutes.
Answer: See explanation
Step-by-step explanation:
a) How much-water will be in the water storage facility in 25 minutes?
Since the city water workers begin filling it at a rate of 500 gallons per minute, in 25 minutes they'll have filled:
= 500 × 25
= 12500 gallons
It immediately begins sending some of its water into the city's water pipes at a rate of 150 gallons per minutes. In 25 minutes, they'll have sent:
= 150 × 25
= 3750 gallons
Amount that'll be left in the tank will be:
= 12500 - 3750
= 8750 gallons
b. Write an equation to find the number of gallons,y,in the storage facility after x minutes. This will be:
y = (500 × x ) - (150 × x)
y = 500x - 150x
y = 350x
h=l/l-2k make k the subject
Answer:
[tex]k=\dfrac{l(h-1)}{2h}[/tex]
Step-by-step explanation:
The given equation is :
[tex]h=\dfrac{l}{l-2k}[/tex] ....(1)
We need to find the value of k.
Cross multiplying equation (1)
[tex]h(l-2k)=l\\\\hl-2hk=l\\\\hl-l=2hk\\\\k=\dfrac{l(h-1)}{2h}[/tex]
So, the value of k is equal to [tex]\dfrac{l(h-1)}{2h}[/tex].
Which algebraic expression has a term with a coefficient of 9
Answer:
an algebraic expression that has a term with a coefficient of 9 is
9(x +14)
9x + 126
what is the probability
Answer:
2:12
Step-by-step explanation:
Peter has 25 chickens. His uncle has 60 times as many. How many chickens does his uncle have?
25 x 60 = 1,500 chickens
Answer:2400
Step-by-step explanation:
