Answer:
X = 8, y = 8
Step-by-step explanation:
This question is an optimization problem. Two equations are going to be needed here
n = x+y
P = xy
Such that 64 = xy
When we divide through by x we get:
y = 64/x
So that n becomes:
n = x + 64/x
n = x+64x^-1
We take derivative
n' = 1-64x^-2
When n' = 0 then a min|max occurs
0 = 1-64x^-2
Such that:
64/x² = 1
Divide through by x²
64 = x²
x = √64
x = 8
Remember y = 64/x
So,
Y = 64/8
Y = 8.
X = 8, y = 8
Thank you!
Identify each algabraic expression as a term, coefficient, constant,variable 4x-12
Answer:
A coefficient is the number that the variable is multiplied by.
The variable is the unknown value, often represented by a letter or symbol.
The constant is the number that is not affected by a variable value, hence the term "constant."
Using the logic above, we can conclude that 4 is the coefficient, x is the variable, and -12 is the constant.
Step-by-step explanation:
If the surface area of a cylinder is 288 picm2 with radius of 8 cm, what is the volume of the cylinder? (in terms of m)
A)
320pi cm3
B)
640pi cm3
9.
720pi cm?
D)
980pi cm3
help me pls hurry thanku
Answer: The volume of the cylinder is 640π cm³
Step-by-step explanation:
The formula of the surface area of a cylinder is SA = 2πrh + 2πr², where r is the radius of its base and h is its height
The formula of the volume of a cylinder is V = πr²h
Let us use the formula of the surface area to find the height of the cylinder, then use the formula of the volume to find its volume
∵ The surface area of a cylinder is 288π cm²
∵ Its radius is 8 cm
∵ SA = 2πrh + 2πr²
- Substitute the SA by 288π and r by 8 in the formula
∴ 288π = 2π(8)h + 2π(8)²
∴ 288π = 16πh + 128π
- Subtract 128π from both sides
∴ 160π = 16πh
- Divide both sides by 16π
∴ 10 = h
∴ The height of the cylinder is 10 cm
Now let us find the volume of the cylinder
∵ V = πr²h
- Substitute r by 8 and h by 10
∴ V = π(8)²(10)
∴ V = π(64)(10)
∴ V = 640π
The volume of the cylinder is 640π cm³
Write the equation so that a = 1: x2 + x =
The answer is : x^2 + x = x ( x + 1 )
What is algebraic equation ?
In mathematics, an algebraic expression is an expression built up from constant algebraic numbers, variables, and the algebraic operations. For example, 3x² − 2xy + c is an algebraic expression.
There are various method through which we can solve or define the algebraic expression. One definition I have mentioned earlier..
To solve this equation
if a = 1, the equation x^2 + x = can be completed as follows :
x^2 + x = x ( x + 1 )
Therefore, the final answer is : x^2 + x = x ( x + 1 )
To know more about algebraic expression visit : https://brainly.com/question/953809
#SPJ1
H = (0.24)I^2Rt, solve for R.
Answer:
Step-by-step explanation:
Factor the trinomial: 2x
Answer:
(2x+1)(x+3)
Step-by-step explanation:
[tex]2x^2+7x+3\\(2x+1)(x+3)[/tex]
Help no troll answer plz
Answer:
Step-by-step explanation:
Q 4. (25m + 25m) ÷ 25 sec. = 2 m/sec.
Q 5. This question belongs to Physics and not Mathematics!!!
Wavelength (lambda) = Velocity (v) ÷ Frequency ( [tex]sec^{-1}[/tex] or Hz )
f = v / (lambda)
f = 3 / 2 = 1.5 (Hz)
Q 6. 0.060 ÷ 2 = 0.030 m
is getting a pear of d rose 772 a bad choice because I'm white
Answer:
no, what you wear does not define you.
Step-by-step explanation:
Ann is maling packages. Each small package costs her $2.80 to send. Each large package costs her $3.20. How much will it cost her to send 4 small packages
and 6 large packages
However answers first will be marked brainliest ;)
for the small 11.20$
for the big 19.20$
Answer:
30.4
Step-by-step explanation:
4 small=2.8 x 4=11.2
6 large=3.2 x 6=19.2
Add them together and the answer is 30.4!
Hope I helped!
this graph shows the eajkdlf;alskdfj asd
Answer:
?
Step-by-step explanation:
Answer:
wat graph
Step-by-step explanation:
What is the area of a semicircle with a diameter of 10 cm?
Answer:
39.27 cm²Step-by-step explanation:
area of semi circle = π r² / 2
where r = 10/2 = 5 cm
area = π (5)² / 2
= 39.27 cm²
Answer:
39.3 cm2
Step-by-step explanation:
diameter=radius/2= 10/2 = 5
area of semicircle=pi(r^2) / 2
=pi(5^2) / 2
=39.26...
=39.3
PLS HELP, I am literally in tears. +28 points and brainliest for the person to answer this correctly.
Answer:
All we need to do is find the value of x to solve:
14x+6/3=-8+4x
14x+6=-24+12x
2x+6=-24
2x=-30
x=-15
-3x^2-7
-3(-15^2)-7
-3(225)-7
-675-7
-682
Step-by-step explanation:
not sure need help
Answer:
The answer is 504 ft ^3 check my solution
HELPPP! WHAT ARE THE X AND Y INTERCEPTS OF THIS LINE?
Answer:
x-intercept=-1.2 y-intercept=-0.7
Step-by-step explanation:
If one of y’all know the answer could you please tell me I would really appreciate it<3
36% of what is 180? The answer is
Answer:
not 36 but 64.8
Step-by-step explanation:
filler filler filler filler
Answer:20%
Step-by-step explanation:
Convert fraction (ratio) 36 / 180 Answer: 20%
Which expression is equivalent to 27 + 45? (1 point) 8(3+6) 8(19 + 37) 09(3 + 5) O 9(18 + 36)
Answer:
9(3+5)
Step-by-step explanation:
My favorite pancake recipe
2 cups all purpose | plain flour, (290 g | 10 oz)
1/4 cup granulated sugar or sweetener, (60g | 2 oz)
4 teaspoons baking powder
1/4 teaspoon baking soda
1/2 teaspoon salt
1 3/4 cups milk, (440ml)
1/4 cup butter, (60g | 2 oz)
2 teaspoons pure vanilla extract
1 large egg
Combine everything in a bowl (separate wet and dry) and cook at medium low heat until it is brown and there are bubbles on top. Then serve with syrup. Good luck!!!
Answer: 8(3+6)
Step-by-step explanation:
Solve for x.
10x−3x+5=26
Answer:
x = 3
Step-by-step explanation:
10x−3x+5=26 (Given)
7x + 5 = 26 (Combine like terms)
7x = 21 (subtraction Property of equaity)
x = 3 (division Property of equaity)
6c = 7c − 7
with work shown
Answer:
c = 7
Step-by-step explanation:
6c = 7c - 7
Subtract 6c to both sides
0 = c - 7
Add 7 to both sides
c = 7
Answer:
c = 7
Step-by-step explanation:
Step 1: Subtract 7c from both sides.
6c − 7c = 7c − 7 − 7c
−c = −7
Step 2: Divide both sides by -1.
-c/-1 = -7/-1
c = 7
[tex] \sqrt{2x - 5 } = 0[/tex]
What is x?
Answer:
x= 5/2
Step-by-step explanation:
the only way a root could be 0 is when the radical is 0.
2x-5=0
transpose
2x= 5
x= 5/2
[tex]\textsf{Hey there!}[/tex]
[tex]\huge\text{Question: } \mathsf{\sqrt{2x -5}= 0}[/tex]
[tex]\bullet\ \large\textsf{First you have to square root both of your sides}[/tex]
[tex]\huge\text{Like: }\mathsf{\bf{2x-5 = 0^2}}\\\mathsf{\rightarrow0^2=0}\\\mathsf{\rightarrow 2x - 5 = 0}[/tex]
[tex]\bullet \ \large\textsf{Add by 5 on both of your sides}[/tex]
[tex]\huge\text{Like: }\bf{\mathsf{2x - 5+5 = 0 + 5}}\\\textsf{Cancel out: }\mathsf{-5 + 5\ because\ that\ gives\ you\ 0}\\\textsf{Keep: }\mathsf{0+5\ because\ that\ helps\ us\ solve\ for\ our\ answer}\\\mathsf{\rightarrow\underline{0+5= 5}}[/tex]
[tex]\bullet\large\text{ New equation}[/tex]
[tex]\mathsf{2x =5}[/tex]
[tex]\bullet \large\text{ Divide both of your sides by 2}[/tex]
[tex]\mathsf{\dfrac{2x}{2}=\dfrac{5}{2}}\\\\\huge\textsf{Cancel out: }}\mathsf{\dfrac{2x}{2}\ because\ it\ gives\ you\ 1}\\\textsf{Keep:}\mathsf{\dfrac{5}{2}\ because\ it\ helps\ us\ solve\ for\ x}[/tex]
[tex]\large\textsf{{{\underline{Answer}}}}[/tex]
[tex]\boxed{\boxed{\huge\textsf{Thus, your answer is: \boxed{\boxed{\mathsf{\bf{x = \dfrac{5}{2}}}}}}}}\huge\checkmark[/tex]
[tex]\mathsf{Note: Plug\ \dfrac{5}{2}\ into\ your\ equation\ (for \ x)\ and\ make\ sure \ that\ that\ it\ works }[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
Which is equivalent to 5+2(3x-4)=12x-11?
C. 9x=17
B. 6x=8
D. 9x=-39
It's one of these graphs
Answer:
it's the one where the first x value is -4 and the first y value is -3
Step-by-step explanation:
plug in -4 into the x of the equation and you'll get y= -3
Example 2
EXERCISE Carlos is jogging at a constant speed. He starts a timer when he is
12 feet from his starting position. After 3 seconds, Carlos is 21 feet from his
starting position. Write a linear equation to represent the distance d of Carlos
from his starting position after t seconds.
Answer:
[tex]d =\frac{10}{3}t + 11[/tex]
Step-by-step explanation:
Given
Represent time with t and distance with d
The time at which he sets his timer is 0.
So:
[tex](t_1,d_1) = (0,11)[/tex]
After 3 seconds:
[tex](d_2,d_2) = (3,21)[/tex]
Required
Determine the linear equation
First, we need to determine the slope (m):
[tex]m = \frac{d_2 - d_1}{t_2 - t_1}[/tex]
Substitute in, values
[tex]m = \frac{21 - 11}{3 - 0}[/tex]
[tex]m = \frac{10}{3}[/tex]
Next, we determine the equation sing
[tex]d - d_1 = m(t - t_1)[/tex]
Where
[tex](t_1,d_1) = (0,11)[/tex]
[tex]m = \frac{10}{3}[/tex]
[tex]d - 11 =\frac{10}{3}(t - 0)[/tex]
[tex]d - 11 =\frac{10}{3}t - 0[/tex]
[tex]d - 11 =\frac{10}{3}t[/tex]
Add 11 to both sides
[tex]d - 11+11 =\frac{10}{3}t + 11[/tex]
[tex]d =\frac{10}{3}t + 11[/tex]
Hence, the linear equation is: [tex]d =\frac{10}{3}t + 11[/tex]
The linear equation used to represent Carlos distance (d) from his starting position after t seconds is d = 3t + 12
A linear equation is given by:
y = mx + b;
where y, x are variables, m is the rate of change and b is the y intercept.
Let d represent Carlos distance from his starting position after t seconds.
Given that He starts a timer when he is 12 feet from his starting position, hence b = 12 feet. After 3 seconds, Carlos is 21 feet from his starting position. Therefore:
21 = 3m + 12
3m = 9
m = 3 ft per second
The linear equation used to represent Carlos distance (d) from his starting position after t seconds is d = 3t + 12
Find out more at: https://brainly.com/question/13911928
Can anyone help me????
Answer:
16, 8, 28, 84, 10, 16, and 96
Step-by-step explanation:
Bc its a parallelogram, the opposite sides are equal. so HI is equal to KJ which is 16. For GH its parallel to GJ so its 8. For the measure of KIH, we know that the measure of IKJ is 28, so the opposite side, it would be 28 for KIH. For the measure angle of KJI, the same applies, the opposite is KHI which is 84. KH is the opposite of JI which is 10. For HJ, you have half the line which we know from GJ is 8, so the other half would also be 8 making HJ 16 in total. For the measure angle of JIH, the opposite is JKH, we know that 28 makes up a small part of that. The angle KHI also distributes into this, 28+84=112. Each triangles angles should equal up to 180 so 180-112= 68 so the other side of 28 is 68. Now the 84 angle isn't completely distributed into the angle but we needed that to figure out the 68 part. So now that we have 28 and 68 we add that together and get 96.
Hope this helped :) sorry if it got a little confusing
Please helpppppp meeee!!!!!
Answer:
5 minutes
Step-by-step explanation:
it drains 7 gallons per a minute so therefore in 35 gallons it would be 35/7 which is 5 minute for 35 gallons
A total of 710 tickets were sold for the school play . They were either adult tickets or student tickets. There were 60 more student tickets sold than adult tickets. How many adult tickets were sold ?
Answer: 325
Explanation:
Let the number of adult tickets be x
( since there are an unknown amount of tickets for adults, we already know how many student tickets there are)
Let the number of student tickets be x+60
710=x+x+60
710=2x+60
-60 -60
650=2x
650/2
= 325
Adult tickets=325
Student tickets=385
Which expression has the same value as 4÷25 in fraction form
Answer:
4/25
Step-by-step explanation:
It is a fraction with 4 in the numerator and 25 in the denominator.
4
__
25
Suppose that you want to find out if more Canadians prefer eating toast or cereal in the morning. List 4 ways you could find secondary data?
Please answer this correctly without making mistakes
Answer:
1 pound is $0.84
Step-by-step explanation:
2000 pounds are in 1 ton so 2 tons is 4000. Take 3,360.00 and divide by 4000. 1 pound is $0.84
Ugh I’m having trouble with rounding.. How can I round these two separate numbers 0.08 and 0.0609375 to the nearest tenth please ? Whenever I try to do it I keep getting the answer wrong.
Answer:
0.08 = 0.1
0.0609... = 0.1
Step-by-step explanation:
Rounding to the nearest tenth means the first decimal space. 4 and under round down. 5 and up round up.
Answer the following questions about confidence intervals.
(a) What happens to a confidence interval as sample sizeincreases, assuming everything else stays the same?
The width of the interval decreases, since the standard error decreases.The center of the interval decreases, since the standard error increases. The center of the intervalincreases, since the standard error decreases.The width of the interval increases, since the standard error increases.
(b) If we want to use a larger confidence level when creating a confidence interval for a population mean, which of the following happens to our confidence interval?
The interval gets wider, since the standard error decreases.The interval gets narrower, since the t-value required to capture a larger proportion of the sampling distribution of the sample mean gets smaller. The interval gets narrower, since the standard error decreases.The interval gets wider, since the t-value required to capture a larger proportion of the sampling distribution of the sample mean gets larger.
(c) What does the margin of error in a confidence interval for a population mean describe?
It describes the difference between the sample mean and the population mean due to calculation errors by the researchers. It describes the difference between the sample mean and the population mean. Due to the random sampling method, different sample means will be different. It describes the difference between the sample mean and the population mean, due to taking non-random samples involving voluntary response or convenience sampling.It describes how often researchers make a mistake due to response bias or non-response bias.
(d) Why do we use a z-score from a normal distribution in constructing large-sample confidence intervals for a proportion?
For large random samples the data distribution is approximately normal.For any n we use the t-distribution to get a confidenceinterval, and for large n the t-distribution looks like the standard normal distribution. For large random samples the sampling distribution of the sample proportion is approximately normal.The population distribution is normal for large samples.
(e) True or false: The confidence interval for a mean with a random sample of size n = 2000 is invalid if the population distribution is bimodal.
TrueFalse
Answer:
the options are not numbered so I have added each of the correct answers under their corresponding question number. the answers in bold letters are right options from the question.
Step-by-step explanation:
a.)
the width of the interval decreases, since the standard error decreases. this is the answer to this question. this happens to a confidence interval as the sample size gets increased. that is if every other thing remains the same.
b.
the answer to this question is that the interval gets wider since the t value required to Capture a larger proportion of the sampling distribution of the sample mean gets larger. so the last option is the answer to the question.
c.
the margin of error shows the degree of random sampling error that is in the result of a survey. the correct answer to this question is this:
in a confidence interval for a population mean, the margin of error describes the difference between the sample mean and the population mean. Due to the random sampling method, different sample means will be different.
d.
regarding this question, we use a z score because:
For large random samples the sampling distribution of the sample proportion is approximately normal.
e.
the answer to this is false.
thank you!
